70ede35702
* spot/twaalgos/zlktree.hh, spot/twaalgos/zlktree.cc (acd::node_level, acd::state_step, acd_transform_sbacc): New public functions. * tests/python/zlktree.ipynb, tests/python/zlktree.py: More tests. * NEWS: Typo.
9774 lines
698 KiB
Text
9774 lines
698 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "found-hurricane",
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"metadata": {},
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"outputs": [],
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"source": [
|
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"import spot\n",
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"spot.setup()"
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]
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},
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{
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"cell_type": "markdown",
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"id": "fb656100",
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"metadata": {},
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"source": [
|
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"This notebook demonstrates the implementation of Zielonka Tree and ACD (Alternating Cycle Decomposition)\n",
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"in Spot. \n",
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"\n",
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"These two structures are used to decompose an acceptance condition (or automaton) into trees that alternate accepting and rejecting elements in order to help converting an automaton to parity acceptance. Spot implements those structures, includes some display code to better explore them iteractively, and finally use them to implement a transformation to parity acceptance.\n",
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"\n",
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"For a formal tratement of these, in a slightly different formalism, see [Optimal Transformations of Games and Automata Using Muller Conditions](https://arxiv.org/abs/2011.13041) by Casares, Colcombet, and Fijalkow. In Spot those definitions have been adapted to use Emerson-Lei acceptance, and support transitions labeled by multiple colors (the main differences are for the Zielonka Tree, the ACD is almost identical)."
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]
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},
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{
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"cell_type": "markdown",
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"id": "4e8b5d3f",
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"metadata": {},
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"source": [
|
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"# Zielonka Tree\n",
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"\n",
|
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"The Zielonka tree is built from an acceptance formula and is labeled by sets of colors. The root contains all colors used in the formula. If seing infinitely all colors of one node would satisfy the acceptance condition, we say that the node is accepting and draw it with an ellipse, otherwise is is rejecting and drawn with a rectangle. The children of an accepting (resp. rejecting) node, are the largest subsets of colors that are rejecting (resp. accepting).\n",
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"\n",
|
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"Here is an example:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "b330dcc5",
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"metadata": {},
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"outputs": [
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"<text text-anchor=\"middle\" x=\"161.36\" y=\"-176.04\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3}</text>\n",
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"</g>\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<title>2</title>\n",
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"<text text-anchor=\"middle\" x=\"340.36\" y=\"-176.04\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,3}</text>\n",
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"<!-- 1->3 -->\n",
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"<title>1->3</title>\n",
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"<text text-anchor=\"middle\" x=\"161.36\" y=\"-104.04\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"35.36\" y=\"-30.67\" font-family=\"Times,serif\" font-size=\"14.00\">{3}</text>\n",
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"<text text-anchor=\"middle\" x=\"124.36\" y=\"-30.67\" font-family=\"Times,serif\" font-size=\"14.00\">{1}</text>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.zielonka_tree; proxy of <Swig Object of type 'spot::zielonka_tree *' at 0x7f296cd16300> >"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
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"c = spot.acc_cond('Fin(0)&Inf(1)&(Inf(2)|Fin(3)) | (Inf(0)|Fin(1))&Fin(2)&Inf(3)')\n",
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"t = spot.zielonka_tree(c)\n",
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"t"
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]
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},
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{
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"cell_type": "markdown",
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"id": "d7629725",
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"metadata": {},
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"source": [
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"Above we can see that `{0,1,2,3}` is a rejecting root, but it has two accepting maximal subsets: `{1,2,3}` and `{0,1,3}`. Similarly, `{1,2,3}` has two rejecting maximal subsets: `{2,3}` and `{1,3}`.\n",
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"\n",
|
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"The leaves of this tree have some additional numbers in angle brackets: those are the node numbers. Each node has a number (it can be seen by hovering over it with the mouse), but those leaf numbers play a particular role when the tree is used to paritize an automaton.\n",
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|
"\n",
|
|
"This tree is also layered: all nodes in each layers are alternatively rejecting and accepting. Layers are numbered incrementally from 0 at the root. In this example, leaves are in layer 3. Since it is conventional to put the root at the top, we will say that a node is high in the tree when it has a small level.\n",
|
|
"\n",
|
|
"In this example, odd levels are accepting: we say the tree is odd. On another example, it could be the other way arround. The `is_even()` method tells us which way it is."
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]
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},
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|
{
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|
"cell_type": "code",
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|
"execution_count": 3,
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|
"id": "ef1a0061",
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|
"metadata": {},
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"outputs": [
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{
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|
"data": {
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"text/plain": [
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"False"
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]
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},
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"execution_count": 3,
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"metadata": {},
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|
"output_type": "execute_result"
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|
}
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],
|
|
"source": [
|
|
"t.is_even()"
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|
]
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|
},
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|
{
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|
"cell_type": "markdown",
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"id": "15fbd4e6",
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|
"metadata": {},
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"source": [
|
|
"The number of leaves, and the number of the left-most leaf can be found with the following functions:"
|
|
]
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|
},
|
|
{
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|
"cell_type": "code",
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|
"execution_count": 4,
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|
"id": "ad093868",
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|
"metadata": {},
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"outputs": [
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{
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|
"data": {
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|
"text/plain": [
|
|
"(6, 7)"
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|
]
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|
},
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|
"execution_count": 4,
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|
"metadata": {},
|
|
"output_type": "execute_result"
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}
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],
|
|
"source": [
|
|
"t.num_branches(), t.first_branch()"
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|
]
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|
},
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|
{
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"cell_type": "markdown",
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"id": "de4cdc45",
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|
"metadata": {},
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|
"source": [
|
|
"The `step()` methods takes one leaf L, one set of colors S, and returns a pair: (leaf, level).\n",
|
|
"It works as follows: starting from node L, it walks up the tree until it has seen all colors in S, and then return the left-most leaf of the *next* branch of the node it has seen (assuming branches are ordered circularly from left to right). The level returned is that of the highest node seen.\n",
|
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"\n",
|
|
"We refer to the process performed by `step(L,S)` as *reading S from L*. \n",
|
|
"\n",
|
|
"For instance reading `[3]` from 7 does not change the leaf, since that leaf is already labeled by `{3}`. The level emitted is 3, since that's the level of 7."
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|
]
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|
},
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|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "f4795cff",
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|
"metadata": {},
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|
"outputs": [
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|
{
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|
"data": {
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|
"text/plain": [
|
|
"(7, 3)"
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]
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|
},
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"execution_count": 5,
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|
"metadata": {},
|
|
"output_type": "execute_result"
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|
}
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|
],
|
|
"source": [
|
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"t.step(7, [3])"
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]
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|
},
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{
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|
"cell_type": "markdown",
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|
"id": "4c3bf70b",
|
|
"metadata": {},
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|
"source": [
|
|
"Reading `[3]` from 8, would however move to leave 9 and emit level 2. Indeed, color 3 is not recognized by 8, so we move up to node 4 (the one labelled by `{1,3}`), emit its level (2), and go down to the left-most leaf of the next branch."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "27899524",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(9, 2)"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
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|
}
|
|
],
|
|
"source": [
|
|
"t.step(8, [3])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0d865f30",
|
|
"metadata": {},
|
|
"source": [
|
|
"If we read `[0,2]` from 9, we will have to go all the way up to the root (emitting 0) and then down to leaf 10:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "94d01547",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(10, 0)"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"t.step(9, [0,2])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "8b6b3928",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now, let's take this a *step* further, and chain multiple steps, by reading a sequence of Sᵢ and producing a sequence of levels."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "43b17b85",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def steps(tree, leaf, seq_of_s):\n",
|
|
" seq_of_lvl = []\n",
|
|
" for s in seq_of_s:\n",
|
|
" leaf, lvl = tree.step(leaf, s)\n",
|
|
" seq_of_lvl.append(lvl)\n",
|
|
" return leaf, seq_of_lvl"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "1d411142",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(10, [1, 0, 2, 2, 1, 1, 3, 1, 1, 3, 1, 1])\n",
|
|
"(9, [1, 2, 2, 2, 2, 2, 2, 2])\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(steps(t, 7, [[1],[0],[3],[1],[0],[3],[1],[0],[3],[1],[0],[3]]))\n",
|
|
"print(steps(t, 7, [[1],[3],[1],[3],[1],[3],[1],[3]]))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "656e05f4",
|
|
"metadata": {},
|
|
"source": [
|
|
"If we imagine an run looping on tree transitions labeled by `[1]`, `[0]`, `[3]`, we know (from the original acceptance condition) that it should be accepting. Infinite repetition of the `step()` procedure will emit many levels, but the smallest level we see infinitely often is `1`. It corresponds to node 2, labeled by `{0,1,3}`: this is the highest node we visit infinitely often while steping through this tree in a loop.\n",
|
|
"\n",
|
|
"Similarly, a loop of two transitions labeled by `[1]` and `[3]` should be rejecting. Stepping through the tree will emit infinitely many 2, a rejecting level."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "5c7014e9",
|
|
"metadata": {},
|
|
"source": [
|
|
"All of this can be used to transform an automaton with arbitrary acceptance into a parity automaton, where the emitted levels will correspond to the priorities of the parity automaton.\n",
|
|
"\n",
|
|
"The states of the new automaton will be pairs of states of the form `(original state, leaf)`. If the input edge `(src,dst)` has colors `S`, then the output edge `((src,leaf),(dst,nextleaf))` will have priority `L` where `L` and `nextleaf` are computed as `(nextleaf,L)=t.step(leaf, S)`. The leaf used for the initial state does not really matter, we use the left-most one."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "2750cb1d",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's create a random automaton with this example acceptance condition, and paritize it:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "0b9511da",
|
|
"metadata": {},
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|
"outputs": [
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{
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-130 30.94,-133.15 34.44,-130 30.94,-130 30.94,-130 30.94,-130 34.44,-130 30.94,-126.85 37.94,-130 37.94,-130\"/>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<text text-anchor=\"start\" x=\"27.5\" y=\"-184.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-142.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<text text-anchor=\"middle\" x=\"473\" y=\"-116.3\" font-family=\"Lato\" font-size=\"14.00\">3</text>\n",
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"</g>\n",
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"<!-- 0->3 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->3</title>\n",
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|
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"<text text-anchor=\"start\" x=\"234\" y=\"-233.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
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"<title>1->0</title>\n",
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|
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"<text text-anchor=\"start\" x=\"94\" y=\"-92.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 1->1 -->\n",
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"</g>\n",
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"<!-- 2 -->\n",
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"</g>\n",
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"<!-- 1->2 -->\n",
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"<g id=\"edge7\" class=\"edge\">\n",
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"<title>1->2</title>\n",
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"</g>\n",
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"<!-- 3->0 -->\n",
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"<g id=\"edge12\" class=\"edge\">\n",
|
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"<title>3->0</title>\n",
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"</g>\n",
|
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"<!-- 3->1 -->\n",
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"<g id=\"edge13\" class=\"edge\">\n",
|
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"<title>3->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M455,-121.72C415.16,-125.16 313.16,-130.4 234,-104 226.13,-101.38 218.3,-96.9 211.6,-92.33\"/>\n",
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"</g>\n",
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"<!-- 3->3 -->\n",
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"<g id=\"edge15\" class=\"edge\">\n",
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"<title>3->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M462.63,-134.79C459.25,-145.42 462.71,-156 473,-156 480.88,-156 484.75,-149.8 484.62,-142.12\"/>\n",
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"</g>\n",
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"<!-- 3->2 -->\n",
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"<g id=\"edge14\" class=\"edge\">\n",
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"<title>3->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M471.74,-101.95C470.3,-78.18 463.82,-37.15 437,-18 415.24,-2.46 383.33,-5.9 361.77,-10.93\"/>\n",
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"</g>\n",
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"<!-- 2->0 -->\n",
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"<g id=\"edge9\" class=\"edge\">\n",
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"<title>2->0</title>\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M320.28,-12.63C311.68,-10.07 300.88,-7.28 291,-6 236,1.13 219.04,-0.82 167,-20 131.36,-33.14 118.44,-33.73 92,-61 79.63,-73.76 70.69,-91.77 64.95,-106.19\"/>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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|
"<g id=\"edge8\" class=\"edge\">\n",
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"<title>2->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M319.78,-13.77C298.52,-9.33 261.31,-4.79 234,-19 219.69,-26.45 209.2,-41.34 202.34,-54.16\"/>\n",
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"<text text-anchor=\"start\" x=\"236\" y=\"-37.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"<text text-anchor=\"start\" x=\"254.5\" y=\"-22.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"</g>\n",
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"<!-- 2->3 -->\n",
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|
"<g id=\"edge10\" class=\"edge\">\n",
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"<title>2->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M351.9,-29.23C360.69,-36.28 372.62,-45.28 384,-52 406.27,-65.15 416.6,-60.1 437,-76 445.22,-82.41 452.67,-91.12 458.57,-99.11\"/>\n",
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"<text text-anchor=\"start\" x=\"402.5\" y=\"-79.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"</g>\n",
|
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"<!-- 2->2 -->\n",
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"<g id=\"edge11\" class=\"edge\">\n",
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"<title>2->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M325.74,-32.04C321.35,-42.91 325.27,-54 337.5,-54 347.06,-54 351.54,-47.23 350.95,-39.09\"/>\n",
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"<text text-anchor=\"start\" x=\"311\" y=\"-72.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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|
"<text text-anchor=\"start\" x=\"329.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3d8210> >"
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|
]
|
|
},
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|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"a1 = spot.automaton(\"randaut -Q4 --colored -e.7 -A '{}' 2 |\".format(c.get_acceptance()))\n",
|
|
"a1"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "499c26d8",
|
|
"metadata": {},
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|
"outputs": [
|
|
{
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|
"data": {
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"</g>\n",
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"<!-- I->0 -->\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.73,-442 30.73,-445.15 34.23,-442 30.73,-442 30.73,-442 30.73,-442 34.23,-442 30.73,-438.85 37.73,-442 37.73,-442\"/>\n",
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"</g>\n",
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"<title>1</title>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M90.99,-445.4C96.98,-446.06 103.36,-446.66 109.3,-447 134.59,-448.44 140.99,-448.16 166.3,-447 169.91,-446.83 173.68,-446.59 177.44,-446.31\"/>\n",
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"<!-- 2 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<text text-anchor=\"start\" x=\"943.17\" y=\"-519.3\" font-family=\"Lato\" font-size=\"14.00\">3#7</text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M69.37,-459.84C80.8,-509.03 120.16,-643 209.94,-643 209.94,-643 209.94,-643 650.53,-643 761.58,-643 880.52,-572.92 930.44,-539.87\"/>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<title>3</title>\n",
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|
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"</g>\n",
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"<!-- 0->3 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>0->3</title>\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
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"<title>1->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M194.2,-428.73C186.4,-422.62 176.48,-416.16 166.3,-413 142.1,-405.49 133.55,-405.68 109.3,-413 101.69,-415.3 94.2,-419.4 87.63,-423.81\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"81.87,-427.9 85.75,-421.27 84.73,-425.87 87.58,-423.84 87.58,-423.84 87.58,-423.84 84.73,-425.87 89.4,-426.41 81.87,-427.9 81.87,-427.9\"/>\n",
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|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>1->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M198.74,-459.29C195.8,-469.39 199.87,-479 210.94,-479 219.25,-479 223.61,-473.59 224.03,-466.63\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"184.44\" y=\"-497.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"202.94\" y=\"-482.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"353.24\" cy=\"-390\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"340.74\" y=\"-386.3\" font-family=\"Lato\" font-size=\"14.00\">2#7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>1->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M237.44,-439.99C257.45,-436.97 285.66,-431.26 308.59,-421 316,-417.69 323.42,-413.03 330,-408.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"335.78,-404.04 332.04,-410.74 332.97,-406.13 330.16,-408.21 330.16,-408.21 330.16,-408.21 332.97,-406.13 328.28,-405.69 335.78,-404.04 335.78,-404.04\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"257.59\" y=\"-454.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"274.09\" y=\"-439.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->1 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
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"<title>2->1</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M931.24,-530.36C923.07,-532.6 913.8,-534.79 905.18,-536 804.36,-550.14 777.97,-539.89 676.18,-541 486.62,-543.07 432.17,-538.99 255.59,-470 248.87,-467.37 242.03,-463.71 235.82,-459.92\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"229.85,-456.13 237.45,-457.22 232.81,-458 235.76,-459.88 235.76,-459.88 235.76,-459.88 232.81,-458 234.07,-462.54 229.85,-456.13 229.85,-456.13\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"547.89\" y=\"-559.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"568.39\" y=\"-544.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
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"<title>2->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M928.8,-523.51C907.2,-523.69 875.62,-523.41 848.18,-521 747.26,-512.14 484.29,-502.87 397.89,-450 383.85,-441.41 372.96,-426.46 365.56,-413.63\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"362.01,-407.15 368.14,-411.78 363.7,-410.22 365.38,-413.29 365.38,-413.29 365.38,-413.29 363.7,-410.22 362.62,-414.81 362.01,-407.15 362.01,-407.15\"/>\n",
|
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"<text text-anchor=\"start\" x=\"623.03\" y=\"-525.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"641.53\" y=\"-510.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"797.68\" cy=\"-379\" rx=\"32.49\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"start\" x=\"780.68\" y=\"-375.3\" font-family=\"Lato\" font-size=\"14.00\">0#10</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
|
"<title>2->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M943.74,-506.63C934.66,-494.09 920.75,-477.11 905.18,-466 882.94,-450.14 869.96,-459.49 848.18,-443 833.61,-431.97 821.07,-415.63 812.25,-402.22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"808.47,-396.29 814.89,-400.5 810.35,-399.24 812.23,-402.19 812.23,-402.19 812.23,-402.19 810.35,-399.24 809.58,-403.89 808.47,-396.29 808.47,-396.29\"/>\n",
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"<text text-anchor=\"start\" x=\"850.18\" y=\"-484.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"868.68\" y=\"-469.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>6</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1107.82\" cy=\"-379\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1095.32\" y=\"-375.3\" font-family=\"Lato\" font-size=\"14.00\">3#8</text>\n",
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"</g>\n",
|
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"<!-- 2->6 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
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"<title>2->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M971.9,-508.4C998.99,-482.42 1055.59,-428.13 1086.16,-398.81\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1091.55,-393.64 1088.68,-400.76 1089.03,-396.06 1086.5,-398.48 1086.5,-398.48 1086.5,-398.48 1089.03,-396.06 1084.32,-396.21 1091.55,-393.64 1091.55,-393.64\"/>\n",
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"<text text-anchor=\"start\" x=\"1006.17\" y=\"-490.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"1026.67\" y=\"-475.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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|
"</g>\n",
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"<!-- 3->2 -->\n",
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"<g id=\"edge13\" class=\"edge\">\n",
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"<title>3->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M814.52,-673.49C824.13,-664.8 836.72,-653.6 848.18,-644 872.91,-623.27 883.41,-622.84 905.18,-599 919.85,-582.92 933.11,-562.05 942.21,-546.24\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"945.84,-539.81 945.14,-547.45 944.12,-542.85 942.4,-545.9 942.4,-545.9 942.4,-545.9 944.12,-542.85 939.65,-544.35 945.84,-539.81 945.84,-539.81\"/>\n",
|
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"<text text-anchor=\"start\" x=\"848.18\" y=\"-662.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"868.68\" y=\"-647.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>3->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M784.56,-703.92C781.13,-714.15 785.51,-724 797.68,-724 807,-724 811.75,-718.23 811.92,-710.93\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"810.8,-703.92 815.02,-710.33 811.35,-707.37 811.91,-710.83 811.91,-710.83 811.91,-710.83 811.35,-707.37 808.8,-711.33 810.8,-703.92 810.8,-703.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"769.18\" y=\"-742.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"789.68\" y=\"-727.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node9\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1254.11\" cy=\"-225\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1241.61\" y=\"-221.3\" font-family=\"Lato\" font-size=\"14.00\">1#9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\">\n",
|
|
"<title>3->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M824.4,-688.73C875.64,-688.82 991.67,-682.1 1063.17,-624 1187.54,-522.93 1235.41,-321.14 1248.82,-250.3\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1250.15,-243.08 1251.98,-250.54 1249.51,-246.53 1248.88,-249.97 1248.88,-249.97 1248.88,-249.97 1249.51,-246.53 1245.78,-249.4 1250.15,-243.08 1250.15,-243.08\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1006.17\" y=\"-674.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1026.67\" y=\"-659.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->1 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>4->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M328.29,-383.29C307.9,-378.92 278.37,-375.87 255.59,-387 241.63,-393.82 230.84,-407.5 223.48,-419.63\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"219.94,-425.78 220.69,-418.15 221.68,-422.75 223.43,-419.71 223.43,-419.71 223.43,-419.71 221.68,-422.75 226.16,-421.28 219.94,-425.78 219.94,-425.78\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"255.59\" y=\"-405.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"274.09\" y=\"-390.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>4->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M378.19,-396.84C384.57,-398.59 391.48,-400.42 397.89,-402 596.46,-450.84 837.4,-499.7 922.8,-516.7\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"929.87,-518.11 922.39,-519.83 926.43,-517.43 923,-516.74 923,-516.74 923,-516.74 926.43,-517.43 923.61,-513.66 929.87,-518.11 929.87,-518.11\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"623.03\" y=\"-483.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"641.53\" y=\"-468.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->5 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>4->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M379.94,-389.36C454.2,-387.51 669.43,-382.16 757.95,-379.96\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"765.11,-379.78 758.19,-383.11 761.61,-379.87 758.11,-379.96 758.11,-379.96 758.11,-379.96 761.61,-379.87 758.04,-376.81 765.11,-379.78 765.11,-379.78\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"551.89\" y=\"-403.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"568.39\" y=\"-388.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"501.39\" cy=\"-290\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"488.89\" y=\"-286.3\" font-family=\"Lato\" font-size=\"14.00\">2#8</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>4->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M367.43,-374.62C375.62,-365.62 386.71,-354.41 397.89,-346 421.24,-328.44 450.78,-312.91 472.14,-302.68\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"478.49,-299.68 473.5,-305.52 475.32,-301.18 472.16,-302.67 472.16,-302.67 472.16,-302.67 475.32,-301.18 470.81,-299.82 478.49,-299.68 478.49,-299.68\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"399.89\" y=\"-364.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"418.39\" y=\"-349.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M827.76,-385.83C857.21,-392.96 899.24,-403.82 905.18,-409 931.77,-432.22 944.59,-472.33 950.38,-498.25\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"951.83,-505.16 947.31,-498.96 951.11,-501.73 950.39,-498.31 950.39,-498.31 950.39,-498.31 951.11,-501.73 953.47,-497.66 951.83,-505.16 951.83,-505.16\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"848.18\" y=\"-427.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"868.68\" y=\"-412.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->5 -->\n",
|
|
"<g id=\"edge21\" class=\"edge\">\n",
|
|
"<title>5->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M784.32,-395.66C781.35,-405.62 785.8,-415 797.68,-415 806.58,-415 811.32,-409.73 811.87,-402.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"811.04,-395.66 814.97,-402.26 811.44,-399.14 811.84,-402.62 811.84,-402.62 811.84,-402.62 811.44,-399.14 808.71,-402.98 811.04,-395.66 811.04,-395.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"769.18\" y=\"-433.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"789.68\" y=\"-418.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"955.67\" cy=\"-58\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"938.67\" y=\"-54.3\" font-family=\"Lato\" font-size=\"14.00\">1#11</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>5->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M813.62,-363.24C822.91,-354.1 835.47,-342.88 848.18,-335 871.39,-320.6 887.79,-333.07 905.18,-312 907.02,-309.77 937.96,-146.57 949.97,-82.97\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"951.27,-76.08 953.06,-83.54 950.62,-79.52 949.97,-82.96 949.97,-82.96 949.97,-82.96 950.62,-79.52 946.87,-82.37 951.27,-76.08 951.27,-76.08\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"848.18\" y=\"-353.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"868.68\" y=\"-338.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->4 -->\n",
|
|
"<g id=\"edge24\" class=\"edge\">\n",
|
|
"<title>6->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1104.65,-396.9C1100.64,-423.38 1089.89,-473.34 1063.17,-506 1038.7,-535.91 1023.67,-534.74 988.17,-550 831.06,-617.55 775.88,-581.15 604.89,-584 579.56,-584.42 571.98,-591.83 547.89,-584 469.51,-558.53 451.5,-537.58 397.89,-475 382.35,-456.87 370.49,-432.27 363.08,-414.19\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"360.37,-407.37 365.88,-412.71 361.66,-410.62 362.96,-413.88 362.96,-413.88 362.96,-413.88 361.66,-410.62 360.03,-415.04 360.37,-407.37 360.37,-407.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"694.18\" y=\"-607.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"712.68\" y=\"-592.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->5 -->\n",
|
|
"<g id=\"edge22\" class=\"edge\">\n",
|
|
"<title>6->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1080.86,-379C1026.63,-379 901.04,-379 837.29,-379\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"830.21,-379 837.21,-375.85 833.71,-379 837.21,-379 837.21,-379 837.21,-379 833.71,-379 837.21,-382.15 830.21,-379 830.21,-379\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"929.17\" y=\"-397.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"947.67\" y=\"-382.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g id=\"edge25\" class=\"edge\">\n",
|
|
"<title>6->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1095.27,-395.29C1092.24,-405.39 1096.43,-415 1107.82,-415 1116.36,-415 1120.85,-409.59 1121.28,-402.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1120.36,-395.29 1124.36,-401.85 1120.8,-398.76 1121.23,-402.24 1121.23,-402.24 1121.23,-402.24 1120.8,-398.76 1118.11,-402.63 1120.36,-395.29 1120.36,-395.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1079.32\" y=\"-433.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1099.82\" y=\"-418.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->7 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>6->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1122.92,-363.95C1148.93,-336.19 1204.49,-276.9 1233.91,-245.49\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1238.74,-240.34 1236.26,-247.6 1236.35,-242.89 1233.96,-245.44 1233.96,-245.44 1233.96,-245.44 1236.35,-242.89 1231.66,-243.29 1238.74,-240.34 1238.74,-240.34\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1152.46\" y=\"-348.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1172.96\" y=\"-333.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->0 -->\n",
|
|
"<g id=\"edge27\" class=\"edge\">\n",
|
|
"<title>7->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1250.44,-206.97C1241.43,-153.58 1206.96,0 1108.82,0 209.94,0 209.94,0 209.94,0 150.82,0 137.13,-34.83 109.3,-87 78.69,-144.35 68.95,-345.35 66.42,-416.67\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"66.17,-423.93 63.26,-416.83 66.29,-420.43 66.41,-416.94 66.41,-416.94 66.41,-416.94 66.29,-420.43 69.56,-417.04 66.17,-423.93 66.17,-423.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"623.03\" y=\"-18.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"641.53\" y=\"-3.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->4 -->\n",
|
|
"<g id=\"edge28\" class=\"edge\">\n",
|
|
"<title>7->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1237.14,-210.58C1211.85,-189.3 1160.19,-152 1108.82,-152 875.68,-152 875.68,-152 875.68,-152 659.83,-152 554.91,-90.9 397.89,-239 362.91,-271.99 355.4,-331.08 354.12,-364.73\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"353.93,-371.91 350.97,-364.83 354.02,-368.41 354.12,-364.91 354.12,-364.91 354.12,-364.91 354.02,-368.41 357.27,-365 353.93,-371.91 353.93,-371.91\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"773.18\" y=\"-170.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"789.68\" y=\"-155.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g id=\"edge26\" class=\"edge\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1241.56,-241.29C1238.54,-251.39 1242.72,-261 1254.11,-261 1262.66,-261 1267.14,-255.59 1267.58,-248.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1266.66,-241.29 1270.65,-247.85 1267.09,-244.76 1267.53,-248.24 1267.53,-248.24 1267.53,-248.24 1267.09,-244.76 1264.4,-248.63 1266.66,-241.29 1266.66,-241.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1227.61\" y=\"-279.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1246.11\" y=\"-264.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->5 -->\n",
|
|
"<g id=\"edge30\" class=\"edge\">\n",
|
|
"<title>8->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M520.23,-302.92C528.34,-308.27 538.25,-314.12 547.89,-318 602.01,-339.82 619.51,-332.07 676.18,-346 705.13,-353.12 737.72,-362.1 761.71,-368.9\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"768.55,-370.85 760.95,-371.96 765.18,-369.89 761.81,-368.93 761.81,-368.93 761.81,-368.93 765.18,-369.89 762.67,-365.9 768.55,-370.85 768.55,-370.85\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"625.03\" y=\"-364.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"641.53\" y=\"-349.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->7 -->\n",
|
|
"<g id=\"edge29\" class=\"edge\">\n",
|
|
"<title>8->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M525.27,-281.78C549.35,-273.33 588.46,-260.13 622.89,-251 745.82,-218.38 778.04,-200.17 905.18,-204 1021.14,-207.5 1158.54,-217.53 1220.24,-222.35\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1227.38,-222.91 1220.16,-225.51 1223.89,-222.64 1220.41,-222.37 1220.41,-222.37 1220.41,-222.37 1223.89,-222.64 1220.65,-219.23 1227.38,-222.91 1227.38,-222.91\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"850.18\" y=\"-222.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"868.68\" y=\"-207.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->8 -->\n",
|
|
"<g id=\"edge32\" class=\"edge\">\n",
|
|
"<title>8->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M488.61,-305.92C485.28,-316.15 489.53,-326 501.39,-326 510.46,-326 515.08,-320.23 515.26,-312.93\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"514.16,-305.92 518.35,-312.35 514.7,-309.37 515.24,-312.83 515.24,-312.83 515.24,-312.83 514.7,-309.37 512.13,-313.32 514.16,-305.92 514.16,-305.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"474.89\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"493.39\" y=\"-329.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"node12\" class=\"node\">\n",
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3d8fc0> >"
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]
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}
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"source": [
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"p1 = spot.zielonka_tree_transform(a1)\n",
|
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"p1.copy_state_names_from(a1)\n",
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"p1"
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]
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},
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{
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"cell_type": "markdown",
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"id": "ea452913",
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"metadata": {},
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"source": [
|
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"Here the parity automaton output has as many proprities as there are levels in the Zielonka tree.\n",
|
|
"\n",
|
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"The call to `copy_state_names_from()` above causes the states to be labeled by strings of the form `orig#leaf` when `orig` is the original state number, and `leaf` is a leaf of the Zielonka tree.\n",
|
|
"\n",
|
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"Since this notebook is part of our test-suite, let us also make sure those automata are equivalent. "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"id": "934e5cd5",
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"source": [
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"spot.are_equivalent(p1, a1)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "da8d9e97",
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"source": [
|
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"Note that `a1` above was generated as a so-called \"colored\" automaton, i.e., each edge has exactly one color. But the transformation also works when edges have arbitrary and possibly empty subsets of colors. In that case, reading a transition without color may emit a level that is not in the Zielonka tree, as if an additional imaginary layer labeled with the empty set was below the tree: we do not store this level for simplicity, but the `step()` function is aware of that."
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]
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},
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"execution_count": 13,
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"id": "87eb80e1",
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"</g>\n",
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"<!-- 1->2 -->\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3d8c90> >"
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|
]
|
|
},
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"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"a2 = spot.automaton(\"randaut -Q3 -e.8 --seed=4 -A '{}' 2 |\".format(c.get_acceptance()))\n",
|
|
"a2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
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|
"execution_count": 14,
|
|
"id": "201acd7e",
|
|
"metadata": {},
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|
"outputs": [
|
|
{
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"data": {
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"</g>\n",
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"<g id=\"edge21\" class=\"edge\">\n",
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"<g id=\"node12\" class=\"node\">\n",
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"<title>2</title>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
|
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"<title>0->2</title>\n",
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|
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"<text text-anchor=\"start\" x=\"912.97\" y=\"-417.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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|
"</g>\n",
|
|
"<!-- 3 -->\n",
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|
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|
|
"<title>3</title>\n",
|
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|
|
"<text text-anchor=\"start\" x=\"847.97\" y=\"-431.3\" font-family=\"Lato\" font-size=\"14.00\">2#8</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->3 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\">\n",
|
|
"<title>0->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1146.75,-456.64C1140.12,-454.5 1132.82,-452.4 1125.96,-451 1043.91,-434.22 944.8,-433.21 894.39,-434.03\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"887.31,-434.17 894.25,-430.89 890.81,-434.1 894.31,-434.03 894.31,-434.03 894.31,-434.03 890.81,-434.1 894.37,-437.18 887.31,-434.17 887.31,-434.17\"/>\n",
|
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"<text text-anchor=\"start\" x=\"989.96\" y=\"-457.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1010.46\" y=\"-442.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1018.46\" cy=\"-562\" rx=\"26.8\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"start\" x=\"1005.96\" y=\"-558.3\" font-family=\"Lato\" font-size=\"14.00\">0#9</text>\n",
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"</g>\n",
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"<!-- 0->4 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\">\n",
|
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"<title>0->4</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M1145.43,-471.06C1119.61,-477.89 1080.81,-489.31 1068.96,-499 1056.62,-509.08 1060.62,-517.33 1050.96,-530 1047.71,-534.26 1043.93,-538.54 1040.15,-542.52\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1035.03,-547.74 1037.68,-540.54 1037.48,-545.24 1039.93,-542.74 1039.93,-542.74 1039.93,-542.74 1037.48,-545.24 1042.18,-544.95 1035.03,-547.74 1035.03,-547.74\"/>\n",
|
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"<text text-anchor=\"start\" x=\"1072.96\" y=\"-517.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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|
"</g>\n",
|
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"<!-- 2->2 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
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"<title>2->2</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M689.01,-432.92C685.49,-443.15 689.98,-453 702.47,-453 712.04,-453 716.91,-447.23 717.09,-439.93\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"715.94,-432.92 720.19,-439.31 716.51,-436.37 717.08,-439.82 717.08,-439.82 717.08,-439.82 716.51,-436.37 713.97,-440.33 715.94,-432.92 715.94,-432.92\"/>\n",
|
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"<text text-anchor=\"start\" x=\"675.97\" y=\"-471.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"<text text-anchor=\"start\" x=\"694.47\" y=\"-456.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"</g>\n",
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"<!-- 2->3 -->\n",
|
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"<g id=\"edge9\" class=\"edge\">\n",
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"<title>2->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M729.07,-414.96C750.77,-413.77 782.64,-413.3 809.97,-418 816.68,-419.15 823.7,-421.09 830.27,-423.24\"/>\n",
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"</g>\n",
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"<!-- 7 -->\n",
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"<g id=\"node9\" class=\"node\">\n",
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"<title>7</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"860.47\" cy=\"-547\" rx=\"26.8\" ry=\"18\"/>\n",
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"<text text-anchor=\"start\" x=\"847.97\" y=\"-543.3\" font-family=\"Lato\" font-size=\"14.00\">0#8</text>\n",
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"</g>\n",
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"<!-- 2->7 -->\n",
|
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"<g id=\"edge10\" class=\"edge\">\n",
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"<title>2->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M719.87,-430.67C748,-454.11 805.49,-502.01 837.21,-528.45\"/>\n",
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"</g>\n",
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"<!-- 3->3 -->\n",
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"<g id=\"edge12\" class=\"edge\">\n",
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"<title>3->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M847,-450.92C843.49,-461.15 847.98,-471 860.47,-471 870.03,-471 874.91,-465.23 875.09,-457.93\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"873.94,-450.92 878.18,-457.31 874.5,-454.37 875.07,-457.82 875.07,-457.82 875.07,-457.82 874.5,-454.37 871.96,-458.33 873.94,-450.92 873.94,-450.92\"/>\n",
|
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"<text text-anchor=\"start\" x=\"835.97\" y=\"-489.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"852.47\" y=\"-474.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
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"<!-- 3->4 -->\n",
|
|
"<g id=\"edge13\" class=\"edge\">\n",
|
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"<title>3->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M879.15,-447.92C900.57,-463.73 937.55,-491.54 967.97,-517 977.7,-525.15 988.15,-534.54 996.92,-542.63\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1002.15,-547.48 994.87,-545.03 999.58,-545.1 997.01,-542.72 997.01,-542.72 997.01,-542.72 999.58,-545.1 999.16,-540.41 1002.15,-547.48 1002.15,-547.48\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"912.97\" y=\"-535.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"931.47\" y=\"-520.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->1 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
|
"<title>3->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M851.54,-452.18C843.42,-467.68 829.26,-489.72 809.97,-501 768.76,-525.09 751.21,-515 703.47,-515 385.49,-515 385.49,-515 385.49,-515 314.26,-515 262.55,-432.79 240.83,-390.91\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"237.61,-384.56 243.59,-389.37 239.19,-387.68 240.78,-390.8 240.78,-390.8 240.78,-390.8 239.19,-387.68 237.97,-392.23 237.61,-384.56 237.61,-384.56\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"519.98\" y=\"-533.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"536.48\" y=\"-518.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->0 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>4->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1043.93,-556.41C1071.1,-549.85 1112.88,-538.66 1125.96,-529 1140.09,-518.56 1151.16,-502.11 1158.62,-488.5\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1161.99,-482.09 1161.52,-489.75 1160.36,-485.19 1158.73,-488.29 1158.73,-488.29 1158.73,-488.29 1160.36,-485.19 1155.95,-486.82 1161.99,-482.09 1161.99,-482.09\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1068.96\" y=\"-567.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1089.46\" y=\"-552.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->4 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>4->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1004.99,-577.92C1001.48,-588.15 1005.97,-598 1018.46,-598 1028.03,-598 1032.9,-592.23 1033.08,-584.93\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1031.93,-577.92 1036.17,-584.31 1032.5,-581.37 1033.07,-584.82 1033.07,-584.82 1033.07,-584.82 1032.5,-581.37 1029.96,-585.33 1031.93,-577.92 1031.93,-577.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"989.96\" y=\"-616.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1010.46\" y=\"-601.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1170.61\" cy=\"-679\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1158.11\" y=\"-675.3\" font-family=\"Lato\" font-size=\"14.00\">2#9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>4->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1041.64,-570.96C1050.18,-574.41 1060.02,-578.39 1068.96,-582 1094.29,-592.23 1105.26,-587.18 1125.96,-605 1141.59,-618.45 1153.07,-638.96 1160.32,-654.97\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1163.17,-661.53 1157.49,-656.36 1161.77,-658.32 1160.38,-655.11 1160.38,-655.11 1160.38,-655.11 1161.77,-658.32 1163.27,-653.85 1163.17,-661.53 1163.17,-661.53\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1070.96\" y=\"-623.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1089.46\" y=\"-608.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->6 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>1->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M214.71,-350.2C205.49,-339.02 192.22,-324.67 177.99,-315 155.4,-299.65 144.54,-305.85 120.99,-292 111.4,-286.36 101.69,-278.96 93.44,-272.06\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"87.99,-267.4 95.35,-269.55 90.65,-269.67 93.31,-271.95 93.31,-271.95 93.31,-271.95 90.65,-269.67 91.26,-274.34 87.99,-267.4 87.99,-267.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"124.99\" y=\"-333.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"141.49\" y=\"-318.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->2 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>1->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M260.37,-370.83C266.54,-371.57 272.97,-372.32 278.99,-373 423.93,-389.33 597.11,-406.69 668.36,-413.74\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"675.74,-414.47 668.46,-416.92 672.26,-414.13 668.77,-413.78 668.77,-413.78 668.77,-413.78 672.26,-414.13 669.08,-410.65 675.74,-414.47 675.74,-414.47\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"438.98\" y=\"-413.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"457.48\" y=\"-398.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"386.49\" cy=\"-187\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"369.49\" y=\"-183.3\" font-family=\"Lato\" font-size=\"14.00\">2#10</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->5 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>1->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M243.61,-350.71C271.8,-318.18 335.07,-245.18 366.71,-208.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"371.51,-203.12 369.31,-210.48 369.22,-205.77 366.93,-208.41 366.93,-208.41 366.93,-208.41 369.22,-205.77 364.55,-206.35 371.51,-203.12 371.51,-203.12\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"278.99\" y=\"-326.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"299.49\" y=\"-311.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->6 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>5->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M355.86,-193.13C298.24,-205.06 171.22,-231.36 108.3,-244.38\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"101.32,-245.83 107.54,-241.32 104.75,-245.12 108.17,-244.41 108.17,-244.41 108.17,-244.41 104.75,-245.12 108.81,-247.49 101.32,-245.83 101.32,-245.83\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"201.99\" y=\"-244.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"220.49\" y=\"-229.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->5 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>5->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M372.77,-203.66C369.73,-213.62 374.3,-223 386.49,-223 395.63,-223 400.48,-217.73 401.05,-210.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"400.2,-203.66 404.15,-210.24 400.61,-207.14 401.02,-210.62 401.02,-210.62 401.02,-210.62 400.61,-207.14 397.89,-210.99 400.2,-203.66 400.2,-203.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"361.99\" y=\"-241.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"378.49\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"544.48\" cy=\"-184\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"527.48\" y=\"-180.3\" font-family=\"Lato\" font-size=\"14.00\">1#12</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>5->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M419.05,-186.39C443.79,-185.92 478.33,-185.25 504.74,-184.75\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"511.96,-184.61 505.02,-187.89 508.46,-184.67 504.96,-184.74 504.96,-184.74 504.96,-184.74 508.46,-184.67 504.9,-181.59 511.96,-184.61 511.96,-184.61\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"440.98\" y=\"-205.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"457.48\" y=\"-190.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->0 -->\n",
|
|
"<g id=\"edge24\" class=\"edge\">\n",
|
|
"<title>7->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M883.79,-538.11C921.38,-523.5 999.98,-494.49 1068.96,-479 1091.5,-473.94 1117.3,-470.39 1137.15,-468.14\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1144.17,-467.36 1137.55,-471.26 1140.69,-467.75 1137.21,-468.13 1137.21,-468.13 1137.21,-468.13 1140.69,-467.75 1136.86,-465 1144.17,-467.36 1144.17,-467.36\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"989.96\" y=\"-519.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1010.46\" y=\"-504.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->4 -->\n",
|
|
"<g id=\"edge25\" class=\"edge\">\n",
|
|
"<title>7->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M886.88,-549.44C913.54,-552.01 955.55,-556.05 984.69,-558.85\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"991.8,-559.53 984.53,-562 988.32,-559.2 984.84,-558.86 984.84,-558.86 984.84,-558.86 988.32,-559.2 985.14,-555.73 991.8,-559.53 991.8,-559.53\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"910.97\" y=\"-575.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"931.47\" y=\"-560.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->8 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>7->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M875.81,-561.82C907.23,-593.03 985.97,-664.56 1068.96,-688 1091.76,-694.44 1118.52,-691.58 1138.72,-687.44\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1145.57,-685.93 1139.41,-690.51 1142.15,-686.69 1138.73,-687.44 1138.73,-687.44 1138.73,-687.44 1142.15,-686.69 1138.05,-684.36 1145.57,-685.93 1145.57,-685.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"991.96\" y=\"-698.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1010.46\" y=\"-683.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->4 -->\n",
|
|
"<g id=\"edge28\" class=\"edge\">\n",
|
|
"<title>8->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1148.42,-668.47C1141.33,-665.03 1133.34,-661.26 1125.96,-658 1100.97,-646.96 1090.21,-652.16 1068.96,-635 1052.49,-621.7 1039.37,-601.48 1030.79,-585.68\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1027.39,-579.22 1033.44,-583.95 1029.02,-582.32 1030.65,-585.42 1030.65,-585.42 1030.65,-585.42 1029.02,-582.32 1027.86,-586.88 1027.39,-579.22 1027.39,-579.22\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1070.96\" y=\"-676.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1089.46\" y=\"-661.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->1 -->\n",
|
|
"<g id=\"edge26\" class=\"edge\">\n",
|
|
"<title>8->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1154.43,-693.86C1128.85,-717.24 1074.55,-760 1019.46,-760 385.49,-760 385.49,-760 385.49,-760 305.95,-760 249.3,-478.44 233.77,-391.96\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"232.52,-384.91 236.84,-391.25 233.13,-388.35 233.74,-391.8 233.74,-391.8 233.74,-391.8 233.13,-388.35 230.64,-392.35 232.52,-384.91 232.52,-384.91\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"677.97\" y=\"-778.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"694.47\" y=\"-763.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->8 -->\n",
|
|
"<g id=\"edge27\" class=\"edge\">\n",
|
|
"<title>8->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1158.06,-695.29C1155.03,-705.39 1159.22,-715 1170.61,-715 1179.15,-715 1183.64,-709.59 1184.07,-702.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1183.15,-695.29 1187.15,-701.85 1183.59,-698.76 1184.02,-702.24 1184.02,-702.24 1184.02,-702.24 1183.59,-698.76 1180.9,-702.63 1183.15,-695.29 1183.15,-695.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1146.11\" y=\"-733.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1162.61\" y=\"-718.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"edge29\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M556.7,-200.76C584.31,-242 655.57,-348.44 686.63,-394.83\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"690.56,-400.71 684.05,-396.64 688.62,-397.8 686.67,-394.89 686.67,-394.89 686.67,-394.89 688.62,-397.8 689.29,-393.14 690.56,-400.71 690.56,-400.71\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"596.98\" y=\"-359.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"615.48\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"node13\" class=\"node\">\n",
|
|
"<title>11</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"702.47\" cy=\"-216\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"685.47\" y=\"-212.3\" font-family=\"Lato\" font-size=\"14.00\">2#12</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->11 -->\n",
|
|
"<g id=\"edge30\" class=\"edge\">\n",
|
|
"<title>9->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M575.97,-179.49C597.63,-177.36 627.15,-176.67 651.98,-184 661.21,-186.72 670.33,-191.76 678.19,-197.05\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"683.93,-201.11 676.39,-199.64 681.07,-199.09 678.21,-197.07 678.21,-197.07 678.21,-197.07 681.07,-199.09 680.03,-194.5 683.93,-201.11 683.93,-201.11\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"594.98\" y=\"-202.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"615.48\" y=\"-187.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
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"<title>12</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M572.4,-174.65C609.36,-163.13 677.75,-146.52 734.97,-159 770.15,-166.67 807.28,-185.22 831.74,-199.09\"/>\n",
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"</g>\n",
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"<!-- 10->6 -->\n",
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"<g id=\"edge34\" class=\"edge\">\n",
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"<title>10->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M987.69,-79.2C956.39,-73.61 905.67,-66 861.47,-66 227.49,-66 227.49,-66 227.49,-66 144.17,-66 96.51,-176.93 79.12,-227.46\"/>\n",
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"</g>\n",
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"<!-- 11->11 -->\n",
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"<g id=\"edge36\" class=\"edge\">\n",
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"<title>11->11</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M688.76,-232.66C685.72,-242.62 690.29,-252 702.47,-252 711.61,-252 716.47,-246.73 717.04,-239.89\"/>\n",
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"<text text-anchor=\"start\" x=\"677.97\" y=\"-270.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
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"<!-- 11->12 -->\n",
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"<g id=\"edge37\" class=\"edge\">\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"827.95,-216 820.95,-219.15 824.45,-216 820.95,-216 820.95,-216 820.95,-216 824.45,-216 820.95,-212.85 827.95,-216 827.95,-216\"/>\n",
|
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"<text text-anchor=\"start\" x=\"754.97\" y=\"-234.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"773.47\" y=\"-219.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<!-- 12->6 -->\n",
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"<g id=\"edge40\" class=\"edge\">\n",
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"<text text-anchor=\"start\" x=\"436.98\" y=\"-299.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 12->1 -->\n",
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"<g id=\"edge39\" class=\"edge\">\n",
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"<text text-anchor=\"start\" x=\"912.97\" y=\"-192.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"931.47\" y=\"-177.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3e1210> >"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"p2 = spot.zielonka_tree_transform(a2)\n",
|
|
"p2.copy_state_names_from(a2)\n",
|
|
"p2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9bf70138",
|
|
"metadata": {},
|
|
"source": [
|
|
"The shape of the Zielonka tree (and later of the ACD), can also tell us if the acceptance condition can be converted into Rabin/Streett/parity without changing the automaton structure. This follows from the following properties:\n",
|
|
"\n",
|
|
"- an automaton is Rabin-type iff the union of any two accepting cycle is necessarily accepting\n",
|
|
"- an automaton is Streett-type iff the union of two rejecting cycle is necessarily rejecting\n",
|
|
"- an automaton is parity-type iff it is Rabin-type and Streett-type\n",
|
|
"\n",
|
|
"Here, X-type means that the acceptance condition of the automaton can be changed into X without changing the transition structure (just by coloring it differently). The Zielonka tree does not really look at the automaton, however its shape can still implies some typeness:\n",
|
|
"\n",
|
|
"- an automaton is Rabin-type if (not iff) accepting nodes of the Zielonka tree have at most one child\n",
|
|
"- an automaton is Street-type if (not iff) rejecting nodes of the Zielonka tree have at most one child\n",
|
|
"\n",
|
|
"The following methods provide this information:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"id": "25ae5666",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(False, False, False)"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"t.has_rabin_shape(), t.has_streett_shape(), t.has_parity_shape()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "147a71a6",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's look at some examples:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"id": "e24c005d",
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
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|
"output_type": "stream",
|
|
"text": [
|
|
"(Fin(0) & Inf(1)) | (Fin(2) & Inf(3)) | (Fin(4) & Inf(5)) : True False False\n"
|
|
]
|
|
},
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|
{
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"data": {
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"<text text-anchor=\"middle\" x=\"161.15\" y=\"-320.04\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4,5}</text>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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|
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"<title>2</title>\n",
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"<text text-anchor=\"middle\" x=\"326.15\" y=\"-320.04\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,3,4,5}</text>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->2</title>\n",
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"</g>\n",
|
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"<!-- 3 -->\n",
|
|
"<g id=\"node4\" class=\"node\">\n",
|
|
"<title>3</title>\n",
|
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"481.15\" cy=\"-323.74\" rx=\"63.89\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"481.15\" y=\"-320.04\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
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|
"</g>\n",
|
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"<!-- 0->3 -->\n",
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"<title>0->3</title>\n",
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"</g>\n",
|
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"<!-- 4 -->\n",
|
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"<g id=\"node5\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
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"<polygon fill=\"none\" stroke=\"black\" points=\"198.15,-269.74 114.15,-269.74 114.15,-233.74 198.15,-233.74 198.15,-269.74\"/>\n",
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"<text text-anchor=\"middle\" x=\"156.15\" y=\"-248.04\" font-family=\"Times,serif\" font-size=\"14.00\">{2,3,4,5}</text>\n",
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|
"</g>\n",
|
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"<!-- 1->4 -->\n",
|
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"<g id=\"edge4\" class=\"edge\">\n",
|
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"<title>1->4</title>\n",
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"</g>\n",
|
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"<!-- 5 -->\n",
|
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"<g id=\"node6\" class=\"node\">\n",
|
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"<title>5</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"368.15,-269.74 284.15,-269.74 284.15,-233.74 368.15,-233.74 368.15,-269.74\"/>\n",
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"<text text-anchor=\"middle\" x=\"326.15\" y=\"-248.04\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,4,5}</text>\n",
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"</g>\n",
|
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"<!-- 2->5 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
|
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"<title>2->5</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M326.15,-305.44C326.15,-297.72 326.15,-288.45 326.15,-279.85\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"329.65,-279.84 326.15,-269.84 322.65,-279.84 329.65,-279.84\"/>\n",
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|
"</g>\n",
|
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"<!-- 6 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>6</title>\n",
|
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"<polygon fill=\"none\" stroke=\"black\" points=\"528.15,-269.74 444.15,-269.74 444.15,-233.74 528.15,-233.74 528.15,-269.74\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"486.15\" y=\"-248.04\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3}</text>\n",
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|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
|
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"<title>3->6</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"487.7,-280.07 484.92,-269.84 480.72,-279.57 487.7,-280.07\"/>\n",
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|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>7</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"46.15\" cy=\"-179.74\" rx=\"46.29\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"46.15\" y=\"-176.04\" font-family=\"Times,serif\" font-size=\"14.00\">{3,4,5}</text>\n",
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"<title>0->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M270.05,-361.7C270.05,-353.98 270.05,-344.71 270.05,-336.11\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"273.55,-336.1 270.05,-326.1 266.55,-336.1 273.55,-336.1\"/>\n",
|
|
"</g>\n",
|
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"<!-- 3 -->\n",
|
|
"<g id=\"node4\" class=\"node\">\n",
|
|
"<title>3</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"440.05,-326 342.05,-326 342.05,-290 440.05,-290 440.05,-326\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"391.05\" y=\"-304.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,4}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->3 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\">\n",
|
|
"<title>0->3</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M297.2,-363.29C313.46,-353.89 334.39,-341.78 352.36,-331.38\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"354.54,-334.16 361.44,-326.13 351.03,-328.11 354.54,-334.16\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node5\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"129.05\" cy=\"-236\" rx=\"54.69\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"129.05\" y=\"-232.3\" font-family=\"Times,serif\" font-size=\"14.00\">{2,3,4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\">\n",
|
|
"<title>1->4</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M135.82,-289.7C134.83,-281.98 133.64,-272.71 132.53,-264.11\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"135.99,-263.58 131.25,-254.1 129.05,-264.47 135.99,-263.58\"/>\n",
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|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"270.05\" cy=\"-236\" rx=\"54.69\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"270.05\" y=\"-232.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>2->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M270.05,-289.7C270.05,-281.98 270.05,-272.71 270.05,-264.11\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"273.55,-264.1 270.05,-254.1 266.55,-264.1 273.55,-264.1\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>6</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"405.05\" cy=\"-236\" rx=\"54.69\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"405.05\" y=\"-232.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>3->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M394.51,-289.7C396.05,-281.98 397.9,-272.71 399.62,-264.11\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"403.1,-264.6 401.63,-254.1 396.23,-263.22 403.1,-264.6\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"74.55,-182 3.55,-182 3.55,-146 74.55,-146 74.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"39.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{2,4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>4->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M108.62,-219.12C96.97,-210.05 82.14,-198.51 69.16,-188.42\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"71,-185.42 60.96,-182.04 66.71,-190.95 71,-185.42\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node9\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"164.55,-182 93.55,-182 93.55,-146 164.55,-146 164.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"129.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{2,3,4}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
|
"<title>4->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M129.05,-217.7C129.05,-209.98 129.05,-200.71 129.05,-192.11\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"132.55,-192.1 129.05,-182.1 125.55,-192.1 132.55,-192.1\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"257.55,-182 186.55,-182 186.55,-146 257.55,-146 257.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"222.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
|
"<title>5->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M258.43,-218.05C252.79,-209.84 245.9,-199.79 239.64,-190.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"242.43,-188.54 233.89,-182.28 236.66,-192.5 242.43,-188.54\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>10</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"347.55,-182 276.55,-182 276.55,-146 347.55,-146 347.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"312.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,4}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>5->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M280.21,-218.05C285.09,-209.92 291.05,-200 296.48,-190.94\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"299.54,-192.65 301.68,-182.28 293.54,-189.05 299.54,-192.65\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"node12\" class=\"node\">\n",
|
|
"<title>11</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"440.55,-182 369.55,-182 369.55,-146 440.55,-146 440.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"405.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,2,3}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->11 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
|
"<title>6->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M405.05,-217.7C405.05,-209.98 405.05,-200.71 405.05,-192.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"408.55,-192.1 405.05,-182.1 401.55,-192.1 408.55,-192.1\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"node13\" class=\"node\">\n",
|
|
"<title>12</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"530.55,-182 459.55,-182 459.55,-146 530.55,-146 530.55,-182\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"495.05\" y=\"-160.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->12 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\">\n",
|
|
"<title>6->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M425.47,-219.12C437.13,-210.05 451.96,-198.51 464.93,-188.42\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"467.39,-190.95 473.13,-182.04 463.09,-185.42 467.39,-190.95\"/>\n",
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|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
|
"<title>13</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"37.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"37.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->13 -->\n",
|
|
"<g id=\"edge13\" class=\"edge\">\n",
|
|
"<title>7->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M38.55,-145.7C38.33,-137.98 38.07,-128.71 37.82,-120.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"41.32,-120 37.54,-110.1 34.32,-120.2 41.32,-120\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"node15\" class=\"node\">\n",
|
|
"<title>14</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"129.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"129.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{2,3}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->14 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>8->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M129.05,-145.7C129.05,-137.98 129.05,-128.71 129.05,-120.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"132.55,-120.1 129.05,-110.1 125.55,-120.1 132.55,-120.1\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 15 -->\n",
|
|
"<g id=\"node16\" class=\"node\">\n",
|
|
"<title>15</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"221.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"221.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{4,5}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->15 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>9->15</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M221.8,-145.7C221.69,-137.98 221.56,-128.71 221.43,-120.11\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"224.93,-120.05 221.29,-110.1 217.93,-120.15 224.93,-120.05\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 16 -->\n",
|
|
"<g id=\"node17\" class=\"node\">\n",
|
|
"<title>16</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"313.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"313.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->16 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>10->16</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M312.29,-145.7C312.4,-137.98 312.54,-128.71 312.66,-120.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"316.16,-120.15 312.8,-110.1 309.16,-120.05 316.16,-120.15\"/>\n",
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|
"</g>\n",
|
|
"<!-- 17 -->\n",
|
|
"<g id=\"node18\" class=\"node\">\n",
|
|
"<title>17</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"405.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"405.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{2,3}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->17 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>11->17</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M405.05,-145.7C405.05,-137.98 405.05,-128.71 405.05,-120.11\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"408.55,-120.1 405.05,-110.1 401.55,-120.1 408.55,-120.1\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 18 -->\n",
|
|
"<g id=\"node19\" class=\"node\">\n",
|
|
"<title>18</title>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"497.05\" cy=\"-92\" rx=\"37.09\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"497.05\" y=\"-88.3\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1}</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->18 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>12->18</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M495.54,-145.7C495.76,-137.98 496.03,-128.71 496.27,-120.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"499.77,-120.2 496.56,-110.1 492.77,-120 499.77,-120.2\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 19 -->\n",
|
|
"<g id=\"node20\" class=\"node\">\n",
|
|
"<title>19</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"66.55,-38 7.55,-38 7.55,0 66.55,0 66.55,-38\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"37.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{4}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"37.05\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><19></text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->19 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>13->19</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M37.05,-73.81C37.05,-66.11 37.05,-56.82 37.05,-48.15\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"40.55,-48.02 37.05,-38.02 33.55,-48.02 40.55,-48.02\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 20 -->\n",
|
|
"<g id=\"node21\" class=\"node\">\n",
|
|
"<title>20</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"158.55,-38 99.55,-38 99.55,0 158.55,0 158.55,-38\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"129.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{2}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"129.05\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><20></text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->20 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>14->20</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M129.05,-73.81C129.05,-66.11 129.05,-56.82 129.05,-48.15\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"132.55,-48.02 129.05,-38.02 125.55,-48.02 132.55,-48.02\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 21 -->\n",
|
|
"<g id=\"node22\" class=\"node\">\n",
|
|
"<title>21</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"250.55,-38 191.55,-38 191.55,0 250.55,0 250.55,-38\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"221.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{4}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"221.05\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><21></text>\n",
|
|
"</g>\n",
|
|
"<!-- 15->21 -->\n",
|
|
"<g id=\"edge21\" class=\"edge\">\n",
|
|
"<title>15->21</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M221.05,-73.81C221.05,-66.11 221.05,-56.82 221.05,-48.15\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"224.55,-48.02 221.05,-38.02 217.55,-48.02 224.55,-48.02\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 22 -->\n",
|
|
"<g id=\"node23\" class=\"node\">\n",
|
|
"<title>22</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"342.55,-38 283.55,-38 283.55,0 342.55,0 342.55,-38\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"313.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{0}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"313.05\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><22></text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->22 -->\n",
|
|
"<g id=\"edge22\" class=\"edge\">\n",
|
|
"<title>16->22</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M313.05,-73.81C313.05,-66.11 313.05,-56.82 313.05,-48.15\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"316.55,-48.02 313.05,-38.02 309.55,-48.02 316.55,-48.02\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 23 -->\n",
|
|
"<g id=\"node24\" class=\"node\">\n",
|
|
"<title>23</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"434.55,-38 375.55,-38 375.55,0 434.55,0 434.55,-38\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"405.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{2}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"405.05\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><23></text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->23 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>17->23</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M405.05,-73.81C405.05,-66.11 405.05,-56.82 405.05,-48.15\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"408.55,-48.02 405.05,-38.02 401.55,-48.02 408.55,-48.02\"/>\n",
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|
"</g>\n",
|
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"<!-- 24 -->\n",
|
|
"<g id=\"node25\" class=\"node\">\n",
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"<title>24</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"526.55,-38 467.55,-38 467.55,0 526.55,0 526.55,-38\"/>\n",
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"<text text-anchor=\"middle\" x=\"497.05\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">{0}</text>\n",
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"for ct in ('Rabin 3', 'Streett 3', 'parity min odd 5', \n",
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" 'Inf(0)&Fin(1) | (Inf(2)&Fin(3)&Fin(4))', 'f', 't'):\n",
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" cond = spot.acc_cond(ct)\n",
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" tcond = spot.zielonka_tree(cond)\n",
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" tcond.has_streett_shape(), tcond.has_parity_shape());\n",
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" display(tcond)"
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"# Alternating Cycle Decomposition\n",
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"\n",
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"We now turn to the ACD, which extends the Zielonka tree to take the automaton structure into account. Instead of storing subsets of colors, it stores SCCs (not necessarily maximal). In Spot, those SCCs are stored as bitvectors of edges. The principle is similar: instead of one tree, we are building a forest, with one root per non-trivial maximal SCC. The root of each tree is labeled by all the transitions in this maximal SCC: if such a huge cycle is accepting the node is said accepting and drawn as an ellipse, otherwise it is rejecting and drawn as a rectangle. For children, we look for maximal subsets of cycles that can be rejecting (if the parent was accepting), or accepting (if the parent was rejecting). \n",
|
|
"\n",
|
|
"In other words all nodes correspond to SCCs that may not be maximal from a graph point of view, but that are maximal with respect to their accepting or rejecting status: adding more cycles to it would change that status."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"id": "ea3488b1",
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"metadata": {},
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"outputs": [],
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"source": [
|
|
"a3 = spot.automaton(\"\"\"HOA: v1 name: \"(FGp0 & ((XFp0 & F!p1) | F(Gp1 &\n",
|
|
"XG!p0))) | G(F!p0 &\\n(XFp0 | F!p1) & F(Gp1 | G!p0))\" States: 10 Start:\n",
|
|
"0 AP: 2 \"p0\" \"p1\" Acceptance: 6 (Fin(0) & Fin(1)) | ((Fin(4)|Fin(5)) &\n",
|
|
"(Inf(2)&Inf(3))) properties: trans-labels explicit-labels trans-acc\n",
|
|
"complete properties: deterministic --BODY-- State: 0 [!0&!1] 0 {0 1 2\n",
|
|
"3 5} [!0&1] 1 [0&!1] 2 [0&1] 3 State: 1 [!0&1] 1 {1 3} [0&!1] 2\n",
|
|
"[!0&!1] 4 {0 1 2 3 5} [0&1] 5 State: 2 [!0&!1] 2 {1 2 3 5} [0&!1] 2 {2\n",
|
|
"4 5} [!0&1] 3 {1 3} [0&1] 3 {4} State: 3 [0&!1] 2 {2 4 5} [!0&1] 3 {1\n",
|
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"3} [0&1] 5 {2 4} [!0&!1] 6 {1 2 3 5} State: 4 [!0&1] 1 {1 3} [0&!1] 2\n",
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"[0&1] 3 [!0&!1] 7 State: 5 [0&!1] 2 {2 4 5} [0&1] 3 {4} [!0&1] 5 {1 3}\n",
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"[!0&!1] 8 {1 3 5} State: 6 [0&!1] 2 {2 4 5} [!0&1] 3 {1 3} [0&1] 3 {4}\n",
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"[!0&!1] 8 {1 3 5} State: 7 [0&!1] 2 [0&1] 5 [!0&!1] 7 {0 1 2 3 5}\n",
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"[!0&1] 9 {1 2 3} State: 8 [0&!1] 2 {2 4 5} [!0&1] 5 {1 2 3} [0&1] 5 {2\n",
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"4} [!0&!1] 8 {1 2 3 5} State: 9 [0&!1] 2 [0&1] 3 [!0&!1] 7 {0 1 3 5}\n",
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"[!0&1] 9 {1 3} --END--\"\"\")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "cb546bc2",
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"metadata": {},
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"source": [
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"Here is the ACD for automaton `a3`, displayed below a copy of the automaton. Note that the automaton and ACD are linked interactively: you may click on nodes of the ACD to highlight the cycles it stores, and you may click on a state or an edge in the automaton to highlight to relevant ACD nodes (it is easier to click on edge labels than on edges)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"id": "fad721c0",
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"metadata": {},
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"outputs": [
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9</text>\n",
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"<text text-anchor=\"middle\" x=\"485.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"562.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
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"<text text-anchor=\"middle\" x=\"562.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #1</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 31,32,39,40</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 7,9</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 40</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 9</text>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"739\" y=\"-49.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
|
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"<g id=\"E9\" class=\"edge\">\n",
|
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"<title>2->2</title>\n",
|
|
"<g id=\"a_E9\"><a xlink:title=\"2->2 #9\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M757.48,-294.04C756.25,-303.86 758.25,-313 763.5,-313 767.43,-313 769.55,-307.86 769.84,-301.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"769.52,-294.04 772.98,-300.89 769.68,-297.53 769.83,-301.03 769.83,-301.03 769.83,-301.03 769.68,-297.53 766.69,-301.17 769.52,-294.04 769.52,-294.04\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"735\" y=\"-330.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"731.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"747.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"763.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"779.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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"</g>\n",
|
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"<!-- 2->2 -->\n",
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|
"<g id=\"E10\" class=\"edge\">\n",
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"<title>2->2</title>\n",
|
|
"<g id=\"a_E10\"><a xlink:title=\"2->2 #10\">\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M754.56,-292.69C747.37,-313.48 750.35,-341 763.5,-341 775.26,-341 778.89,-318.98 774.37,-299.45\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"772.44,-292.69 777.39,-298.55 773.4,-296.05 774.36,-299.42 774.36,-299.42 774.36,-299.42 773.4,-296.05 771.33,-300.28 772.44,-292.69 772.44,-292.69\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"737\" y=\"-358.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"739.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"755.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
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"<text text-anchor=\"start\" x=\"771.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
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"<!-- 2->3 -->\n",
|
|
"<g id=\"E11\" class=\"edge\">\n",
|
|
"<title>2->3</title>\n",
|
|
"<g id=\"a_E11\"><a xlink:title=\"2->3 #11\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M766.03,-259.06C769.12,-235.44 778.38,-194.72 806,-176 827.34,-161.54 857.89,-164.1 878.86,-168.44\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"885.85,-170.03 878.33,-171.55 882.44,-169.26 879.03,-168.48 879.03,-168.48 879.03,-168.48 882.44,-169.26 879.72,-165.41 885.85,-170.03 885.85,-170.03\"/>\n",
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|
"</a>\n",
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|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"806\" y=\"-193.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"816.5\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"832.5\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->3 -->\n",
|
|
"<g id=\"E12\" class=\"edge\">\n",
|
|
"<title>2->3</title>\n",
|
|
"<g id=\"a_E12\"><a xlink:title=\"2->3 #12\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M781.61,-277.09C802.02,-276.36 836.22,-272.35 859,-255 877.32,-241.05 888.88,-217.07 895.43,-199\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"897.79,-192.15 898.49,-199.79 896.65,-195.46 895.51,-198.77 895.51,-198.77 895.51,-198.77 896.65,-195.46 892.53,-197.75 897.79,-192.15 897.79,-192.15\"/>\n",
|
|
"</a>\n",
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"</g>\n",
|
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"<text text-anchor=\"start\" x=\"808\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"824.5\" y=\"-278.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->2 -->\n",
|
|
"<g id=\"E13\" class=\"edge\">\n",
|
|
"<title>3->2</title>\n",
|
|
"<g id=\"a_E13\"><a xlink:title=\"3->2 #13\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M888.53,-185.58C880.25,-191.53 869.38,-198.78 859,-204 836.65,-215.25 826.22,-208.26 806,-223 794.34,-231.5 784.36,-244.17 777.12,-255.1\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"773.18,-261.29 774.28,-253.69 775.06,-258.34 776.94,-255.39 776.94,-255.39 776.94,-255.39 775.06,-258.34 779.59,-257.08 773.18,-261.29 773.18,-261.29\"/>\n",
|
|
"</a>\n",
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|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"806\" y=\"-240.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"808.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"824.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"840.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"E14\" class=\"edge\">\n",
|
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"<title>3->3</title>\n",
|
|
"<g id=\"a_E14\"><a xlink:title=\"3->3 #14\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M892.07,-189.04C887.8,-199.91 891.61,-211 903.5,-211 912.79,-211 917.15,-204.23 916.57,-196.09\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"914.93,-189.04 919.59,-195.14 915.73,-192.45 916.52,-195.86 916.52,-195.86 916.52,-195.86 915.73,-192.45 913.45,-196.57 914.93,-189.04 914.93,-189.04\"/>\n",
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|
"</a>\n",
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"</g>\n",
|
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"<text text-anchor=\"start\" x=\"877\" y=\"-228.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"887.5\" y=\"-214.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"903.5\" y=\"-214.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->5 -->\n",
|
|
"<g id=\"E15\" class=\"edge\">\n",
|
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"<title>3->5</title>\n",
|
|
"<g id=\"a_E15\"><a xlink:title=\"3->5 #15\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M920.19,-167.23C928.28,-163.65 938.44,-159.8 948,-158 975.95,-152.73 983.62,-156.15 1012,-158 1135,-166.02 1176.43,-139.52 1287,-194 1294.44,-197.66 1301.24,-203.54 1306.83,-209.43\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1311.6,-214.79 1304.59,-211.66 1309.28,-212.18 1306.95,-209.57 1306.95,-209.57 1306.95,-209.57 1309.28,-212.18 1309.3,-207.47 1311.6,-214.79 1311.6,-214.79\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"1105\" y=\"-177.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1113.5\" y=\"-163.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1129.5\" y=\"-163.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"S6\" class=\"node\">\n",
|
|
"<title>6</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1056.5\" cy=\"-256\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1056.5\" y=\"-252.3\" font-family=\"Lato\" font-size=\"14.00\">6</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g id=\"E16\" class=\"edge\">\n",
|
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"<title>3->6</title>\n",
|
|
"<g id=\"a_E16\"><a xlink:title=\"3->6 #16\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M918.47,-185.58C926.75,-191.52 937.62,-198.77 948,-204 975,-217.59 985,-213.41 1012,-227 1020.11,-231.08 1028.52,-236.4 1035.76,-241.37\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1041.53,-245.42 1033.99,-243.98 1038.67,-243.41 1035.8,-241.4 1035.8,-241.4 1035.8,-241.4 1038.67,-243.41 1037.61,-238.82 1041.53,-245.42 1041.53,-245.42\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"951.5\" y=\"-244.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"948\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"964\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"980\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"996\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->1 -->\n",
|
|
"<g id=\"E17\" class=\"edge\">\n",
|
|
"<title>4->1</title>\n",
|
|
"<g id=\"a_E17\"><a xlink:title=\"4->1 #17\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M314.93,-136.76C309.23,-137.27 302.85,-137.75 297,-138 261.48,-139.52 252.5,-140.02 217,-138 213.52,-137.8 209.85,-137.49 206.26,-137.13\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"199.06,-136.34 206.36,-133.98 202.54,-136.73 206.01,-137.11 206.01,-137.11 206.01,-137.11 202.54,-136.73 205.67,-140.24 199.06,-136.34 199.06,-136.34\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"230.5\" y=\"-157.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"241\" y=\"-143.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"257\" y=\"-143.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"E18\" class=\"edge\">\n",
|
|
"<title>4->2</title>\n",
|
|
"<g id=\"a_E18\"><a xlink:title=\"4->2 #18\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M351.17,-132.6C399.9,-126.49 542.48,-113.58 650,-154 687.36,-168.05 694.39,-179.25 721,-209 733.28,-222.73 744.02,-240.58 751.49,-254.55\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"754.89,-261.06 748.86,-256.31 753.27,-257.96 751.65,-254.85 751.65,-254.85 751.65,-254.85 753.27,-257.96 754.44,-253.4 754.89,-261.06 754.89,-261.06\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"520.5\" y=\"-138.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->3 -->\n",
|
|
"<g id=\"E19\" class=\"edge\">\n",
|
|
"<title>4->3</title>\n",
|
|
"<g id=\"a_E19\"><a xlink:title=\"4->3 #19\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M349.35,-126.71C373.96,-114.21 424.09,-92 469.5,-92 469.5,-92 469.5,-92 764.5,-92 814.4,-92 861.81,-132.35 885.94,-156.79\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"891,-162.03 883.87,-159.18 888.57,-159.51 886.14,-157 886.14,-157 886.14,-157 888.57,-159.51 888.41,-154.81 891,-162.03 891,-162.03\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"599\" y=\"-95.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"S7\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"470.5\" cy=\"-232\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"470.5\" y=\"-228.3\" font-family=\"Lato\" font-size=\"14.00\">7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"E20\" class=\"edge\">\n",
|
|
"<title>4->7</title>\n",
|
|
"<g id=\"a_E20\"><a xlink:title=\"4->7 #20\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M347.99,-145.02C372.13,-162.3 421.68,-197.77 449.47,-217.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"455.38,-221.89 447.86,-220.38 452.54,-219.86 449.69,-217.82 449.69,-217.82 449.69,-217.82 452.54,-219.86 451.52,-215.26 455.38,-221.89 455.38,-221.89\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"369\" y=\"-204.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"E21\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<g id=\"a_E21\"><a xlink:title=\"5->2 #21\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1316.73,-212.05C1311.47,-198.03 1301.99,-178.74 1287,-168 1193.04,-100.67 1145.35,-120.49 1030,-128 958.55,-132.65 823.81,-146.71 806,-162 779.65,-184.63 770.03,-225.31 766.52,-251.72\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"765.68,-258.76 763.38,-251.44 766.1,-255.29 766.51,-251.81 766.51,-251.81 766.51,-251.81 766.1,-255.29 769.64,-252.19 765.68,-258.76 765.68,-258.76\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1030\" y=\"-145.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1032.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1048.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1064.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->3 -->\n",
|
|
"<g id=\"E22\" class=\"edge\">\n",
|
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"<title>5->3</title>\n",
|
|
"<g id=\"a_E22\"><a xlink:title=\"5->3 #22\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1320.99,-247.12C1318.69,-269.23 1311.21,-305.89 1287,-324 1226.54,-369.22 1006.7,-348.49 948,-301 917.48,-276.31 908.31,-229.02 905.59,-199.92\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"905.03,-192.94 908.73,-199.66 905.31,-196.43 905.59,-199.92 905.59,-199.92 905.59,-199.92 905.31,-196.43 902.45,-200.17 905.03,-192.94 905.03,-192.94\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1105\" y=\"-367.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1121.5\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->5 -->\n",
|
|
"<g id=\"E23\" class=\"edge\">\n",
|
|
"<title>5->5</title>\n",
|
|
"<g id=\"a_E23\"><a xlink:title=\"5->5 #23\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1312.29,-243.79C1308.81,-254.42 1312.38,-265 1323,-265 1331.13,-265 1335.13,-258.8 1335,-251.12\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1333.71,-243.79 1338.02,-250.14 1334.31,-247.24 1334.92,-250.69 1334.92,-250.69 1334.92,-250.69 1334.31,-247.24 1331.82,-251.23 1333.71,-243.79 1333.71,-243.79\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"1296.5\" y=\"-282.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"1307\" y=\"-268.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"1323\" y=\"-268.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"S8\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1194\" cy=\"-256\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1194\" y=\"-252.3\" font-family=\"Lato\" font-size=\"14.00\">8</text>\n",
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"</g>\n",
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"<!-- 5->8 -->\n",
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|
"<g id=\"E24\" class=\"edge\">\n",
|
|
"<title>5->8</title>\n",
|
|
"<g id=\"a_E24\"><a xlink:title=\"5->8 #24\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1316.41,-245.8C1311.09,-258.82 1301.68,-275.94 1287,-284 1264.79,-296.19 1253.91,-292.39 1230,-284 1223.64,-281.77 1217.57,-277.84 1212.33,-273.62\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1206.99,-268.99 1214.35,-271.19 1209.64,-271.28 1212.28,-273.57 1212.28,-273.57 1212.28,-273.57 1209.64,-271.28 1210.22,-275.95 1206.99,-268.99 1206.99,-268.99\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"1230\" y=\"-309.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1234.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1250.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1266.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->2 -->\n",
|
|
"<g id=\"E25\" class=\"edge\">\n",
|
|
"<title>6->2</title>\n",
|
|
"<g id=\"a_E25\"><a xlink:title=\"6->2 #25\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1045.67,-271.05C1037.91,-281.5 1026.06,-294.65 1012,-301 951.77,-328.19 845.16,-321.01 806,-308 797.33,-305.12 789.01,-299.65 782.12,-294.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"776.7,-289.46 784.07,-291.61 779.36,-291.73 782.02,-294 782.02,-294 782.02,-294 779.36,-291.73 779.98,-296.4 776.7,-289.46 776.7,-289.46\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"877\" y=\"-337.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"879.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"895.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"911.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"E26\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<g id=\"a_E26\"><a xlink:title=\"6->3 #26\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1052.06,-238.49C1047.07,-218.41 1035.71,-186.42 1012,-172 986.52,-156.5 950.99,-161.51 927.87,-167.47\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"920.83,-169.41 926.74,-164.51 924.2,-168.48 927.58,-167.55 927.58,-167.55 927.58,-167.55 924.2,-168.48 928.41,-170.59 920.83,-169.41 920.83,-169.41\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"953.5\" y=\"-189.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"964\" y=\"-175.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"980\" y=\"-175.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"E27\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<g id=\"a_E27\"><a xlink:title=\"6->3 #27\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1038.82,-260.72C1016.41,-266.05 976.16,-271.92 948,-255 928.02,-243 916.63,-218.29 910.56,-199.49\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"908.41,-192.35 913.44,-198.15 909.42,-195.71 910.43,-199.06 910.43,-199.06 910.43,-199.06 909.42,-195.71 907.41,-199.96 908.41,-192.35 908.41,-192.35\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"955.5\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"972\" y=\"-270.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->8 -->\n",
|
|
"<g id=\"E28\" class=\"edge\">\n",
|
|
"<title>6->8</title>\n",
|
|
"<g id=\"a_E28\"><a xlink:title=\"6->8 #28\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1074.66,-256C1098.49,-256 1141.7,-256 1168.79,-256\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1175.98,-256 1168.98,-259.15 1172.48,-256 1168.98,-256 1168.98,-256 1168.98,-256 1172.48,-256 1168.98,-252.85 1175.98,-256 1175.98,-256\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1101\" y=\"-273.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1105.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1121.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1137.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->2 -->\n",
|
|
"<g id=\"E29\" class=\"edge\">\n",
|
|
"<title>7->2</title>\n",
|
|
"<g id=\"a_E29\"><a xlink:title=\"7->2 #29\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M485.13,-242.86C493.3,-248.74 504.18,-255.49 515,-259 593.6,-284.53 693.37,-281.91 738.45,-278.99\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"745.46,-278.5 738.7,-282.13 741.97,-278.74 738.48,-278.99 738.48,-278.99 738.48,-278.99 741.97,-278.74 738.26,-275.84 745.46,-278.5 745.46,-278.5\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"597\" y=\"-284.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->5 -->\n",
|
|
"<g id=\"E30\" class=\"edge\">\n",
|
|
"<title>7->5</title>\n",
|
|
"<g id=\"a_E30\"><a xlink:title=\"7->5 #30\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M482.2,-246.19C517.13,-290.76 633.07,-425 762.5,-425 762.5,-425 762.5,-425 1195,-425 1275.74,-425 1307.72,-306.41 1317.94,-253.72\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1319.24,-246.74 1321.05,-254.2 1318.6,-250.18 1317.95,-253.62 1317.95,-253.62 1317.95,-253.62 1318.6,-250.18 1314.86,-253.04 1319.24,-246.74 1319.24,-246.74\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"879\" y=\"-428.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g id=\"E31\" class=\"edge\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<g id=\"a_E31\"><a xlink:title=\"7->7 #31\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M458.74,-246.04C454.35,-256.91 458.27,-268 470.5,-268 480.06,-268 484.54,-261.23 483.95,-253.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"482.26,-246.04 486.95,-252.11 483.07,-249.45 483.89,-252.85 483.89,-252.85 483.89,-252.85 483.07,-249.45 480.83,-253.58 482.26,-246.04 482.26,-246.04\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"442\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"430.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"<text text-anchor=\"start\" x=\"446.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"462.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"478.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"494.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"S9\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"623.5\" cy=\"-181\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"623.5\" y=\"-177.3\" font-family=\"Lato\" font-size=\"14.00\">9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->9 -->\n",
|
|
"<g id=\"E32\" class=\"edge\">\n",
|
|
"<title>7->9</title>\n",
|
|
"<g id=\"a_E32\"><a xlink:title=\"7->9 #32\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M488.48,-230.56C510.18,-228.27 548.58,-222.68 579,-210 587.38,-206.51 595.85,-201.32 603.06,-196.29\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"608.79,-192.15 604.97,-198.8 605.96,-194.2 603.12,-196.25 603.12,-196.25 603.12,-196.25 605.96,-194.2 601.27,-193.7 608.79,-192.15 608.79,-192.15\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"520.5\" y=\"-244.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"523\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"539\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"555\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->2 -->\n",
|
|
"<g id=\"E33\" class=\"edge\">\n",
|
|
"<title>8->2</title>\n",
|
|
"<g id=\"a_E33\"><a xlink:title=\"8->2 #33\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1181.49,-269.11C1175.14,-275.63 1166.78,-283.12 1158,-288 1066,-339.12 1034.27,-337.64 930,-352 874.31,-359.67 852.14,-359.13 806,-327 794.96,-319.31 785.2,-307.94 777.92,-297.98\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"773.72,-292.01 780.33,-295.92 775.74,-294.87 777.75,-297.73 777.75,-297.73 777.75,-297.73 775.74,-294.87 775.17,-299.54 773.72,-292.01 773.72,-292.01\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"953.5\" y=\"-366.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"956\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"972\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"988\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->5 -->\n",
|
|
"<g id=\"E34\" class=\"edge\">\n",
|
|
"<title>8->5</title>\n",
|
|
"<g id=\"a_E34\"><a xlink:title=\"8->5 #34\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1201.38,-239.39C1206.95,-227.44 1216.32,-212.2 1230,-205 1252.42,-193.2 1262.8,-197.5 1287,-205 1292.64,-206.75 1298.18,-209.75 1303.13,-213.06\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1309.05,-217.33 1301.53,-215.79 1306.21,-215.28 1303.37,-213.23 1303.37,-213.23 1303.37,-213.23 1306.21,-215.28 1305.22,-210.68 1309.05,-217.33 1309.05,-217.33\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1232\" y=\"-222.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1234.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1250.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1266.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->5 -->\n",
|
|
"<g id=\"E35\" class=\"edge\">\n",
|
|
"<title>8->5</title>\n",
|
|
"<g id=\"a_E35\"><a xlink:title=\"8->5 #35\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1211.86,-252.41C1233.97,-247.71 1272.89,-239.44 1298.05,-234.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1305.07,-232.6 1298.87,-237.14 1301.64,-233.33 1298.22,-234.06 1298.22,-234.06 1298.22,-234.06 1301.64,-233.33 1297.56,-230.97 1305.07,-232.6 1305.07,-232.6\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1234\" y=\"-266.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1242.5\" y=\"-252.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1258.5\" y=\"-252.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->8 -->\n",
|
|
"<g id=\"E36\" class=\"edge\">\n",
|
|
"<title>8->8</title>\n",
|
|
"<g id=\"a_E36\"><a xlink:title=\"8->8 #36\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1183.29,-270.79C1179.81,-281.42 1183.38,-292 1194,-292 1202.13,-292 1206.13,-285.8 1206,-278.12\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1204.71,-270.79 1209.02,-277.14 1205.31,-274.24 1205.92,-277.69 1205.92,-277.69 1205.92,-277.69 1205.31,-274.24 1202.82,-278.23 1204.71,-270.79 1204.71,-270.79\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1165.5\" y=\"-309.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1162\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1178\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1194\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1210\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"E37\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<g id=\"a_E37\"><a xlink:title=\"9->2 #37\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M638.75,-190.91C663.33,-208.01 713.8,-243.12 742.1,-262.81\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"748.12,-267 740.58,-265.59 745.25,-265 742.38,-263 742.38,-263 742.38,-263 745.25,-265 744.17,-260.41 748.12,-267 748.12,-267\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"668\" y=\"-249.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->3 -->\n",
|
|
"<g id=\"E38\" class=\"edge\">\n",
|
|
"<title>9->3</title>\n",
|
|
"<g id=\"a_E38\"><a xlink:title=\"9->3 #38\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M641.36,-177.04C680.02,-168.52 777.97,-150.15 859,-162 865.76,-162.99 872.93,-164.8 879.45,-166.76\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"886.23,-168.91 878.6,-169.79 882.89,-167.85 879.56,-166.79 879.56,-166.79 879.56,-166.79 882.89,-167.85 880.51,-163.79 886.23,-168.91 886.23,-168.91\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"739\" y=\"-165.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->7 -->\n",
|
|
"<g id=\"E39\" class=\"edge\">\n",
|
|
"<title>9->7</title>\n",
|
|
"<g id=\"a_E39\"><a xlink:title=\"9->7 #39\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M605.88,-176.05C583.89,-170.48 544.47,-163.9 515,-178 501.16,-184.62 490.33,-198.03 482.93,-209.82\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"479.18,-216.16 480.03,-208.53 480.96,-213.15 482.74,-210.14 482.74,-210.14 482.74,-210.14 480.96,-213.15 485.45,-211.74 479.18,-216.16 479.18,-216.16\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"518.5\" y=\"-195.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"515\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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|
"<text text-anchor=\"start\" x=\"531\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"547\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"563\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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"</g>\n",
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"<!-- 9->9 -->\n",
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"<g id=\"E40\" class=\"edge\">\n",
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"<title>9->9</title>\n",
|
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"<g id=\"a_E40\"><a xlink:title=\"9->9 #40\">\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M612.07,-195.04C607.8,-205.91 611.61,-217 623.5,-217 632.79,-217 637.15,-210.23 636.57,-202.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"634.93,-195.04 639.59,-201.14 635.73,-198.45 636.52,-201.86 636.52,-201.86 636.52,-201.86 635.73,-198.45 633.45,-202.57 634.93,-195.04 634.93,-195.04\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"597\" y=\"-234.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"607.5\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"623.5\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"</g>\n",
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"</g>\n",
|
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"</svg>\n",
|
|
"</div><div><?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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"<!-- Generated by graphviz version 2.43.0 (0)\n",
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" -->\n",
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"<!-- Title: acd Pages: 1 -->\n",
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"<svg width=\"1356pt\" height=\"458pt\"\n",
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" viewBox=\"0.00 0.00 1355.97 457.97\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"acd0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 453.97)\">\n",
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"<title>acd</title>\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-453.97 1351.97,-453.97 1351.97,4 -4,4\"/>\n",
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"<text text-anchor=\"middle\" x=\"673.98\" y=\"-418.77\" font-family=\"Times,serif\" font-size=\"14.00\">min odd</text>\n",
|
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"<!-- 0 -->\n",
|
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"<g id=\"N0\" class=\"node acdS2\n",
|
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" acdS3\n",
|
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" acdS5\n",
|
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" acdS6\n",
|
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" acdS8\n",
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"\">\n",
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"<title>0</title>\n",
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"<polygon fill=\"white\" stroke=\"black\" points=\"602.67,-383.18 446.67,-383.18 446.67,-300.18 602.67,-300.18 602.67,-383.18\"/>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #0</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9-16,21-28,33-36</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4,5}</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5,6,8</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 0</text>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g id=\"N4\" class=\"node acdS2\n",
|
|
" acdS3\n",
|
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" acdS5\n",
|
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"\">\n",
|
|
"<title>4</title>\n",
|
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"116.67\" cy=\"-177.69\" rx=\"116.85\" ry=\"58.88\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 10,12,13,15,21,22</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{2,4,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><4></text>\n",
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"</g>\n",
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"<!-- 0->4 -->\n",
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"<g id=\"acd0_edge1\" class=\"edge\">\n",
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"<title>0->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M446.56,-313.57C389.61,-293.37 310.82,-264.53 242.67,-236.38 232.18,-232.05 221.28,-227.35 210.47,-222.57\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"211.57,-219.23 201.01,-218.36 208.72,-225.62 211.57,-219.23\"/>\n",
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"</g>\n",
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"<!-- 5 -->\n",
|
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"<g id=\"N5\" class=\"node acdS5\n",
|
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" acdS8\n",
|
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"\">\n",
|
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"<title>5</title>\n",
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"336.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23,24,34,36</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5,8</text>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->5 -->\n",
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"<g id=\"acd0_edge2\" class=\"edge\">\n",
|
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"<title>0->5</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M477.23,-299.8C450.9,-277.11 418.04,-248.8 390.72,-225.26\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"392.66,-222.31 382.8,-218.43 388.09,-227.61 392.66,-222.31\"/>\n",
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"</g>\n",
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"<!-- 6 -->\n",
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"<g id=\"N6\" class=\"node acdS3\n",
|
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" acdS5\n",
|
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"\">\n",
|
|
"<title>6</title>\n",
|
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"524.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,15,22,23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4}</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,5</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->6 -->\n",
|
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"<g id=\"acd0_edge3\" class=\"edge\">\n",
|
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"<title>0->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M524.67,-299.8C524.67,-280.47 524.67,-257.06 524.67,-235.99\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"528.17,-235.87 524.67,-225.87 521.17,-235.87 528.17,-235.87\"/>\n",
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"</g>\n",
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"<!-- 7 -->\n",
|
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"<g id=\"N7\" class=\"node acdS3\n",
|
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" acdS6\n",
|
|
"\">\n",
|
|
"<title>7</title>\n",
|
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"696.67\" cy=\"-177.69\" rx=\"69.09\" ry=\"48.17\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,16,26</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,6</text>\n",
|
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->7 -->\n",
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"<g id=\"acd0_edge4\" class=\"edge\">\n",
|
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"<title>0->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M568.08,-299.8C592.71,-276.6 623.59,-247.52 648.91,-223.67\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"651.36,-226.17 656.24,-216.77 646.56,-221.08 651.36,-226.17\"/>\n",
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"</g>\n",
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"<!-- 8 -->\n",
|
|
"<g id=\"N8\" class=\"node acdS2\n",
|
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"\">\n",
|
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"<title>8</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"843.67\" cy=\"-177.69\" rx=\"59.29\" ry=\"58.88\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><8></text>\n",
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"</g>\n",
|
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"<!-- 0->8 -->\n",
|
|
"<g id=\"acd0_edge5\" class=\"edge\">\n",
|
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"<title>0->8</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M602.78,-314.99C653.61,-296.64 720.31,-269.4 774.67,-236.38 780.5,-232.84 786.35,-228.83 792.04,-224.61\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"794.44,-227.18 800.25,-218.31 790.18,-221.62 794.44,-227.18\"/>\n",
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|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"N11\" class=\"node acdS5\n",
|
|
"\">\n",
|
|
"<title>11</title>\n",
|
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"<polygon fill=\"white\" stroke=\"black\" points=\"366.17,-83 307.17,-83 307.17,0 366.17,0 366.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><11></text>\n",
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"</g>\n",
|
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"<!-- 5->11 -->\n",
|
|
"<g id=\"acd0_edge8\" class=\"edge\">\n",
|
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"<title>5->11</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M336.67,-129.38C336.67,-117.71 336.67,-105.16 336.67,-93.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"340.17,-93.15 336.67,-83.15 333.17,-93.15 340.17,-93.15\"/>\n",
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|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"N12\" class=\"node acdS3\n",
|
|
"\">\n",
|
|
"<title>12</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"515.17,-83 456.17,-83 456.17,0 515.17,0 515.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><12></text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->12 -->\n",
|
|
"<g id=\"acd0_edge9\" class=\"edge\">\n",
|
|
"<title>6->12</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M511.14,-130.13C507.64,-118.07 503.84,-105.02 500.28,-92.77\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"503.64,-91.78 497.49,-83.16 496.92,-93.74 503.64,-91.78\"/>\n",
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|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"N13\" class=\"node acdS5\n",
|
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"\">\n",
|
|
"<title>13</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"592.17,-83 533.17,-83 533.17,0 592.17,0 592.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><13></text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->13 -->\n",
|
|
"<g id=\"acd0_edge10\" class=\"edge\">\n",
|
|
"<title>6->13</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M537.86,-130.13C541.24,-118.19 544.89,-105.28 548.33,-93.14\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"551.8,-93.73 551.16,-83.16 545.07,-91.83 551.8,-93.73\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"N14\" class=\"node acdS3\n",
|
|
"\">\n",
|
|
"<title>14</title>\n",
|
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"<polygon fill=\"white\" stroke=\"black\" points=\"726.17,-83 667.17,-83 667.17,0 726.17,0 726.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><14></text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->14 -->\n",
|
|
"<g id=\"acd0_edge11\" class=\"edge\">\n",
|
|
"<title>7->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M696.67,-129.38C696.67,-117.71 696.67,-105.16 696.67,-93.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"700.17,-93.15 696.67,-83.15 693.17,-93.15 700.17,-93.15\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"N1\" class=\"node acdS7\n",
|
|
" acdS9\n",
|
|
"\">\n",
|
|
"<title>1</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"949.67\" cy=\"-341.68\" rx=\"84.71\" ry=\"58.88\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #1</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 31,32,39,40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 7,9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"N9\" class=\"node acdS9\n",
|
|
"\">\n",
|
|
"<title>9</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"978.17,-219.19 921.17,-219.19 921.17,-136.19 978.17,-136.19 978.17,-219.19\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><9></text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->9 -->\n",
|
|
"<g id=\"acd0_edge6\" class=\"edge\">\n",
|
|
"<title>1->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M949.67,-282.65C949.67,-265.36 949.67,-246.55 949.67,-229.74\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"953.17,-229.56 949.67,-219.56 946.17,-229.56 953.17,-229.56\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"N2\" class=\"node acdS1\n",
|
|
" acdS4\n",
|
|
"\">\n",
|
|
"<title>2</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"1121.67\" cy=\"-341.68\" rx=\"69.09\" ry=\"58.88\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 5,7,17</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 1,4</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"N10\" class=\"node acdS1\n",
|
|
"\">\n",
|
|
"<title>10</title>\n",
|
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"<polygon fill=\"white\" stroke=\"black\" points=\"1151.17,-219.19 1092.17,-219.19 1092.17,-136.19 1151.17,-136.19 1151.17,-219.19\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 1</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><10></text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->10 -->\n",
|
|
"<g id=\"acd0_edge7\" class=\"edge\">\n",
|
|
"<title>2->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1121.67,-282.65C1121.67,-265.36 1121.67,-246.55 1121.67,-229.74\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1125.17,-229.56 1121.67,-219.56 1118.17,-229.56 1125.17,-229.56\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g id=\"N3\" class=\"node acdS0\n",
|
|
"\">\n",
|
|
"<title>3</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"1278.67\" cy=\"-341.68\" rx=\"69.09\" ry=\"69.09\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-375.48\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-360.48\" font-family=\"Times,serif\" font-size=\"14.00\">T: 1</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-345.48\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-330.48\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 0</text>\n",
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|
"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-315.48\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-300.48\" font-family=\"Times,serif\" font-size=\"14.00\"><3></text>\n",
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|
"</g>\n",
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|
"</g>\n",
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|
"</svg>\n",
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|
"</div><script>\n",
|
|
"function acd0_clear(){\n",
|
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" $(\"#acd0 .node,#acdaut0 .node,#acdaut0 .edge\")\n",
|
|
" .removeClass(\"acdhigh acdbold acdacc acdrej\");\n",
|
|
"};\n",
|
|
"function acd0_state(state){\n",
|
|
" acd0_clear();\n",
|
|
" $(\"#acd0 .acdS\" + state).addClass(\"acdhigh acdbold\");\n",
|
|
" $(\"#acdaut0 #S\" + state).addClass(\"acdbold\");\n",
|
|
"};\n",
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"function acd0_edge(edge){\n",
|
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" acd0_clear();\n",
|
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" var theedge = $('#acdaut0 #E' + edge)\n",
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" var classList = theedge.attr('class').split(/\\s+/);\n",
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" $.each(classList, function(index, item) {\n",
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" if (item.startsWith('acdN')) {\n",
|
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" $(\"#acd0 #\" + item.substring(3)).addClass(\"acdhigh acdbold\");\n",
|
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" }\n",
|
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" });\n",
|
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" theedge.addClass(\"acdbold\");\n",
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|
"};\n",
|
|
"function acd0_node(node, acc){\n",
|
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" acd0_clear();\n",
|
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" $(\"#acdaut0 .acdN\" + node).addClass(acc\n",
|
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" ? \"acdacc acdbold\"\n",
|
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" : \"acdrej acdbold\");\n",
|
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" $(\"#acd0 #N\" + node).addClass(\"acdbold acdhigh\");\n",
|
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"};$(\"#acdaut0 #E9\").addClass(\"acdN0\");$(\"#acdaut0 #E10\").addClass(\"acdN0\");$(\"#acdaut0 #E11\").addClass(\"acdN0\");$(\"#acdaut0 #E12\").addClass(\"acdN0\");$(\"#acdaut0 #E13\").addClass(\"acdN0\");$(\"#acdaut0 #E14\").addClass(\"acdN0\");$(\"#acdaut0 #E15\").addClass(\"acdN0\");$(\"#acdaut0 #E16\").addClass(\"acdN0\");$(\"#acdaut0 #E21\").addClass(\"acdN0\");$(\"#acdaut0 #E22\").addClass(\"acdN0\");$(\"#acdaut0 #E23\").addClass(\"acdN0\");$(\"#acdaut0 #E24\").addClass(\"acdN0\");$(\"#acdaut0 #E25\").addClass(\"acdN0\");$(\"#acdaut0 #E26\").addClass(\"acdN0\");$(\"#acdaut0 #E27\").addClass(\"acdN0\");$(\"#acdaut0 #E28\").addClass(\"acdN0\");$(\"#acdaut0 #E33\").addClass(\"acdN0\");$(\"#acdaut0 #E34\").addClass(\"acdN0\");$(\"#acdaut0 #E35\").addClass(\"acdN0\");$(\"#acdaut0 #E36\").addClass(\"acdN0\");$(\"#acdaut0 #E31\").addClass(\"acdN1\");$(\"#acdaut0 #E32\").addClass(\"acdN1\");$(\"#acdaut0 #E39\").addClass(\"acdN1\");$(\"#acdaut0 #E40\").addClass(\"acdN1\");$(\"#acdaut0 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#E16\").click(function(){acd0_edge(16);});$(\"#acdaut0 #E17\").click(function(){acd0_edge(17);});$(\"#acdaut0 #E18\").click(function(){acd0_edge(18);});$(\"#acdaut0 #E19\").click(function(){acd0_edge(19);});$(\"#acdaut0 #E20\").click(function(){acd0_edge(20);});$(\"#acdaut0 #E21\").click(function(){acd0_edge(21);});$(\"#acdaut0 #E22\").click(function(){acd0_edge(22);});$(\"#acdaut0 #E23\").click(function(){acd0_edge(23);});$(\"#acdaut0 #E24\").click(function(){acd0_edge(24);});$(\"#acdaut0 #E25\").click(function(){acd0_edge(25);});$(\"#acdaut0 #E26\").click(function(){acd0_edge(26);});$(\"#acdaut0 #E27\").click(function(){acd0_edge(27);});$(\"#acdaut0 #E28\").click(function(){acd0_edge(28);});$(\"#acdaut0 #E29\").click(function(){acd0_edge(29);});$(\"#acdaut0 #E30\").click(function(){acd0_edge(30);});$(\"#acdaut0 #E31\").click(function(){acd0_edge(31);});$(\"#acdaut0 #E32\").click(function(){acd0_edge(32);});$(\"#acdaut0 #E33\").click(function(){acd0_edge(33);});$(\"#acdaut0 #E34\").click(function(){acd0_edge(34);});$(\"#acdaut0 #E35\").click(function(){acd0_edge(35);});$(\"#acdaut0 #E36\").click(function(){acd0_edge(36);});$(\"#acdaut0 #E37\").click(function(){acd0_edge(37);});$(\"#acdaut0 #E38\").click(function(){acd0_edge(38);});$(\"#acdaut0 #E39\").click(function(){acd0_edge(39);});$(\"#acdaut0 #E40\").click(function(){acd0_edge(40);});$(\"#acdaut0 #S0\").click(function(){acd0_state(0);});$(\"#acdaut0 #S1\").click(function(){acd0_state(1);});$(\"#acdaut0 #S2\").click(function(){acd0_state(2);});$(\"#acdaut0 #S3\").click(function(){acd0_state(3);});$(\"#acdaut0 #S4\").click(function(){acd0_state(4);});$(\"#acdaut0 #S5\").click(function(){acd0_state(5);});$(\"#acdaut0 #S6\").click(function(){acd0_state(6);});$(\"#acdaut0 #S7\").click(function(){acd0_state(7);});$(\"#acdaut0 #S8\").click(function(){acd0_state(8);});$(\"#acdaut0 #S9\").click(function(){acd0_state(9);});$(\"#acd0 #N0\").click(function(){acd0_node(0, 0);});$(\"#acd0 #N1\").click(function(){acd0_node(1, 1);});$(\"#acd0 #N2\").click(function(){acd0_node(2, 1);});$(\"#acd0 #N3\").click(function(){acd0_node(3, 1);});$(\"#acd0 #N4\").click(function(){acd0_node(4, 1);});$(\"#acd0 #N5\").click(function(){acd0_node(5, 1);});$(\"#acd0 #N6\").click(function(){acd0_node(6, 1);});$(\"#acd0 #N7\").click(function(){acd0_node(7, 1);});$(\"#acd0 #N8\").click(function(){acd0_node(8, 1);});$(\"#acd0 #N9\").click(function(){acd0_node(9, 0);});$(\"#acd0 #N10\").click(function(){acd0_node(10, 0);});$(\"#acd0 #N11\").click(function(){acd0_node(11, 0);});$(\"#acd0 #N12\").click(function(){acd0_node(12, 0);});$(\"#acd0 #N13\").click(function(){acd0_node(13, 0);});$(\"#acd0 #N14\").click(function(){acd0_node(14, 0);});</script>"
|
|
],
|
|
"text/plain": [
|
|
"<spot.acd; proxy of <Swig Object of type 'spot::acd *' at 0x7f296c3e1f90> >"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd = spot.acd(a3); theacd"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0f2f00c4",
|
|
"metadata": {},
|
|
"source": [
|
|
"The nodes of the ACD represent various bits of informations. First, the root of each tree shows the number of the maximal SCC (as computed by `spot.scc_info`). Trivial maximal SCCs (without cycles) are omitted from the construction. Children are sorted by decreasing size of the SCCs they represent (i.e., decreasing count of edges).\n",
|
|
"\n",
|
|
"The numbers after `T:` list the edges that belong to the strongly connected component. The numbers are simply the indices of those edges in the automaton. Between braces are the colors covered by all those edges, to decide if a cycle formed by all these edges would be accepting. The numbers after `Q:` are the states touched by those edges. `lvl:` indicates the level of each node. Since some trees can have accepting roots while others have rejecting roots, the levels of some tree have been shifted down (i.e., the root start at levl 1 instead of 0) to ensure that all trees use the same parity. The parity of the decomposition (i.e., whether even levels are accepting) is indicated by the `is_even()` method."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"id": "859a993a",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"False"
|
|
]
|
|
},
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.is_even()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "3a3db431",
|
|
"metadata": {},
|
|
"source": [
|
|
"Finally, the leaves have their node number indicated between angle brackets, but again, node numbers can be obtained by hovering over the node with the mouse. This construction may step in more that just those indicated leaves because it will consider subtrees of the ACD.\n",
|
|
"\n",
|
|
"For each state of the original automaton, there exists a subtree in the ACD formed by all the node whose `Q:` contain that state. In the display of `theacd` above, you can click on any state of the input automaton to highlight the corresponding subtree of the ACD."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "6595333d",
|
|
"metadata": {},
|
|
"source": [
|
|
"The `step()` method works similarly to Zielonka trees, except it uses edge number instead of colors. It is given a node of the ACD and the number of an edge whose source state touched belong to `Q:` in the current node. Then it walks up the tree until it finds a node that contains the given edge, emit the level of that node, and returns the left-most node of the next-branch in the sub-tree associated to the destination state.\n",
|
|
"\n",
|
|
"For instance, let's consider the edges 2->3 and 3->2 in `a1`. There are actually two edges going from 2 to 3. Hovering above those arrows tells us the number of these edges:\n",
|
|
" - 2->3 with {1,3} is edge 11\n",
|
|
" - 2->3 with {4} is edge 12\n",
|
|
" - 3->2 with {2,4,5} is edge 13\n",
|
|
" \n",
|
|
"Let us assume we are in node 4 of the ACD (a node that contains state 2) and want to step through edges 12 and 13:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"id": "a8bd0844",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(4, 1)"
|
|
]
|
|
},
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(4, 12)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"id": "93116a05",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(4, 1)"
|
|
]
|
|
},
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(4, 13)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "1c6d4fe9",
|
|
"metadata": {},
|
|
"source": [
|
|
"In both case, we stay in node 4 and emit level 1, this is the level of node 4, which contains both edges.\n",
|
|
"\n",
|
|
"If we were to iterate through edges 11 and 13 instead, the story would be different:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"id": "23940b6a",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(12, 0)"
|
|
]
|
|
},
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(4, 11)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"id": "de7cbd02",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(8, 0)"
|
|
]
|
|
},
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(12, 13)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"id": "8b0305d4",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(4, 0)"
|
|
]
|
|
},
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(8, 11)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"id": "4f0a10f5",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(4, 1)"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.step(4, 13)"
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]
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},
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}
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"source": [
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"And then it would loop again. \n",
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"\n",
|
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"Let's consider the first step. Node 4 does not contains edge 11, so we move up the tree until we find node 0 that contains it, and emit level 0. Then the destination of edge 11 is 3, so we consider the subtree associated to 3 (clicking on state 3 shows us this is the tree that has nodes 4,7,13 as leaves) and return the left-most node of the next branch: 12.\n",
|
|
"\n",
|
|
"When we read edge 13 from node 12, go all the way up to node 0 again, and consider the left-most node of the next branch in the tree for the destination 2: that's node 8. \n",
|
|
"\n",
|
|
"Reading edges 11 and 13 will get us back to node 4. If we repeat this infinitely often, the smallest level we will see infinitely often is therefore 0, meaning that is a rejecting cycle."
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]
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},
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{
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"cell_type": "markdown",
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"id": "04d7cc51",
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"metadata": {},
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"source": [
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"The initial node we use to start this process can be any node that contains this state. The `first_branch(s)` method returns the left-most node containing state `s`."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 26,
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"id": "2bd04c1f",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4"
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]
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},
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"execution_count": 26,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"theacd.first_branch(2)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "1015abb6",
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"metadata": {},
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"source": [
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"This `first_branch()` method is actually being used when `step()` is used to take an edge between two SCCs. In that case the edge does not appear in the ACD, and `step()` will return the `first_branch()` for its destination, and level 0."
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]
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},
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{
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"cell_type": "markdown",
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"id": "b89a6186",
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"metadata": {},
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"source": [
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"An automaton can be paritized using ACD following a procedure similar to Zielonka tree, with this more complex stepping process."
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]
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},
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"id": "e28035e8",
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"<text text-anchor=\"start\" x=\"1293.06\" y=\"-117.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1311.56\" y=\"-102.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->2 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>3->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M915.43,-332.44C892.34,-330.13 858.32,-326.74 833.34,-324.25\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"826.23,-323.54 833.51,-321.1 829.71,-323.88 833.19,-324.23 833.19,-324.23 833.19,-324.23 829.71,-323.88 832.88,-327.36 826.23,-323.54 826.23,-323.54\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"844.47\" y=\"-348.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"862.97\" y=\"-333.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->5 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>3->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M951.52,-352.05C959.13,-366.11 971.49,-385.82 986.77,-399 1117.5,-511.84 1183.29,-490.27 1348.06,-542 1352.34,-543.35 1356.86,-544.78 1361.3,-546.19\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1368.16,-548.39 1360.53,-549.26 1364.83,-547.32 1361.49,-546.26 1361.49,-546.26 1361.49,-546.26 1364.83,-547.32 1362.45,-543.26 1368.16,-548.39 1368.16,-548.39\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1137.06\" y=\"-520.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-505.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>3->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M956.06,-319.39C979.37,-293.15 1031.26,-243 1087.41,-243 1087.41,-243 1087.41,-243 1320.56,-243 1505.9,-243 1725.61,-279.41 1811.32,-295.02\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1818.23,-296.29 1810.78,-298.13 1814.79,-295.66 1811.34,-295.03 1811.34,-295.03 1811.34,-295.03 1814.79,-295.66 1811.91,-291.93 1818.23,-296.29 1818.23,-296.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1366.2\" y=\"-263.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1384.7\" y=\"-248.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1088.41\" cy=\"-364\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1075.91\" y=\"-360.3\" font-family=\"Lato\" font-size=\"14.00\">6#7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->8 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>3->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M961.93,-347.16C969.37,-351.36 978.19,-355.6 986.77,-358 1008.84,-364.16 1034.66,-365.59 1054.62,-365.52\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1061.69,-365.43 1054.73,-368.66 1058.19,-365.47 1054.69,-365.52 1054.69,-365.52 1054.69,-365.52 1058.19,-365.47 1054.65,-362.37 1061.69,-365.43 1061.69,-365.43\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"986.77\" y=\"-383.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1007.27\" y=\"-368.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->1 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>4->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M339.32,-408.75C317.72,-405.52 286.25,-404.27 263.29,-418 241.46,-431.06 228.2,-457.73 220.97,-477.54\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"218.67,-484.22 217.97,-476.58 219.81,-480.91 220.95,-477.6 220.95,-477.6 220.95,-477.6 219.81,-480.91 223.93,-478.63 218.67,-484.22 218.67,-484.22\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"265.29\" y=\"-436.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"283.79\" y=\"-421.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>4->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M386.96,-403.63C421.34,-387.19 492.16,-355.55 555.88,-341 629.51,-324.19 718.54,-321.09 765.72,-320.76\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"772.92,-320.73 765.94,-323.91 769.42,-320.75 765.92,-320.76 765.92,-320.76 765.92,-320.76 769.42,-320.75 765.91,-317.61 772.92,-320.73 772.92,-320.73\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"557.88\" y=\"-359.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"576.38\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->3 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>4->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M377.21,-397.45C385.17,-386.87 396.68,-373.58 409.58,-365 496.17,-307.41 528.6,-307.8 630.88,-289 747.45,-267.57 790.28,-231.42 897.47,-282 910.75,-288.27 921.36,-300.77 928.79,-312.07\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"932.59,-318.17 926.21,-313.89 930.74,-315.2 928.89,-312.22 928.89,-312.22 928.89,-312.22 930.74,-315.2 931.56,-310.56 932.59,-318.17 932.59,-318.17\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"633.03\" y=\"-307.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"649.53\" y=\"-292.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"511.23\" cy=\"-414\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"498.73\" y=\"-410.3\" font-family=\"Lato\" font-size=\"14.00\">7#1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->9 -->\n",
|
|
"<g id=\"edge21\" class=\"edge\">\n",
|
|
"<title>4->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M391.73,-414C415.59,-414 451.18,-414 477.13,-414\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"484.17,-414 477.17,-417.15 480.67,-414 477.17,-414 477.17,-414 477.17,-414 480.67,-414 477.17,-410.85 484.17,-414 484.17,-414\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"409.58\" y=\"-432.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"430.08\" y=\"-417.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"edge22\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1370.36,-565.86C1363.39,-568.65 1355.52,-571.38 1348.06,-573 1270.93,-589.77 1166.63,-592.88 1133.06,-582 990,-535.62 862.99,-396.12 818.08,-342.4\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"813.5,-336.88 820.39,-340.26 815.73,-339.58 817.97,-342.27 817.97,-342.27 817.97,-342.27 815.73,-339.58 815.54,-344.28 813.5,-336.88 813.5,-336.88\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1061.91\" y=\"-593.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1080.41\" y=\"-578.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->3 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>5->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1366.2,-558.03C1318.76,-560.9 1214.36,-562.96 1133.06,-534 1058.87,-507.57 1037.09,-494.58 986.77,-434 968.43,-411.93 956.44,-380.96 949.75,-359.56\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"947.68,-352.7 952.71,-358.49 948.69,-356.05 949.7,-359.4 949.7,-359.4 949.7,-359.4 948.69,-356.05 946.68,-360.31 947.68,-352.7 947.68,-352.7\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1137.06\" y=\"-566.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-551.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"node12\" class=\"node\">\n",
|
|
"<title>10</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1691.14\" cy=\"-484\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1674.14\" y=\"-480.3\" font-family=\"Lato\" font-size=\"14.00\">5#11</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g id=\"edge24\" class=\"edge\">\n",
|
|
"<title>5->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1419.19,-558.02C1465.49,-560.65 1565.59,-561.5 1640.65,-528 1652.3,-522.8 1663.15,-513.84 1671.7,-505.36\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1676.72,-500.18 1674.11,-507.4 1674.28,-502.69 1671.85,-505.21 1671.85,-505.21 1671.85,-505.21 1674.28,-502.69 1669.59,-503.01 1676.72,-500.18 1676.72,-500.18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1512.5\" y=\"-575.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-560.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"node13\" class=\"node\">\n",
|
|
"<title>11</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1539\" cy=\"-454\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1526.5\" y=\"-450.3\" font-family=\"Lato\" font-size=\"14.00\">8#5</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->11 -->\n",
|
|
"<g id=\"edge25\" class=\"edge\">\n",
|
|
"<title>5->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1406.96,-540.72C1415.18,-531.75 1426.27,-520.53 1437.35,-512 1460.28,-494.35 1489.12,-478.27 1510.04,-467.54\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1516.54,-464.25 1511.72,-470.22 1513.42,-465.83 1510.3,-467.41 1510.3,-467.41 1510.3,-467.41 1513.42,-465.83 1508.87,-464.6 1516.54,-464.25 1516.54,-464.25\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1437.35\" y=\"-530.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-515.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->2 -->\n",
|
|
"<g id=\"edge27\" class=\"edge\">\n",
|
|
"<title>6->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2146.01,-228.19C2133.39,-180.41 2091.55,-53 2004.13,-53 941.12,-53 941.12,-53 941.12,-53 832.14,-53 807.65,-229.08 802.29,-295.79\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"801.75,-303 799.13,-295.78 802.01,-299.51 802.27,-296.02 802.27,-296.02 802.27,-296.02 802.01,-299.51 805.41,-296.25 801.75,-303 801.75,-303\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1439.35\" y=\"-71.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-56.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"edge28\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2134,-231.97C2108.25,-211.28 2055.75,-175 2004.13,-175 1769.14,-175 1769.14,-175 1769.14,-175 1569.53,-175 1520.17,-197 1320.56,-197 1087.41,-197 1087.41,-197 1087.41,-197 1037.27,-197 1022.15,-212.47 986.77,-248 969.24,-265.59 957.45,-291.66 950.59,-310.67\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"948.28,-317.32 947.6,-309.68 949.43,-314.02 950.58,-310.71 950.58,-310.71 950.58,-310.71 949.43,-314.02 953.55,-311.74 948.28,-317.32 948.28,-317.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1512.5\" y=\"-207.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-192.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"edge29\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2142.16,-229.08C2134.63,-214.91 2122.25,-194.97 2106.63,-182 2068.35,-150.22 2053.88,-137 2004.13,-137 1611.15,-137 1611.15,-137 1611.15,-137 1091.84,-137 1019.17,-173.42 986.77,-200 953.97,-226.9 945.55,-278.69 943.54,-309.72\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"943.18,-316.76 940.4,-309.6 943.36,-313.26 943.54,-309.77 943.54,-309.77 943.54,-309.77 943.36,-313.26 946.69,-309.93 943.18,-316.76 943.18,-316.76\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1514.5\" y=\"-156.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g id=\"edge26\" class=\"edge\">\n",
|
|
"<title>6->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2139.08,-262.29C2136.14,-272.39 2140.2,-282 2151.28,-282 2159.58,-282 2163.95,-276.59 2164.37,-269.63\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2163.48,-262.29 2167.45,-268.86 2163.9,-265.76 2164.32,-269.24 2164.32,-269.24 2164.32,-269.24 2163.9,-265.76 2161.19,-269.62 2163.48,-262.29 2163.48,-262.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2122.78\" y=\"-300.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2143.28\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->6 -->\n",
|
|
"<g id=\"edge30\" class=\"edge\">\n",
|
|
"<title>7->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1877.45,-293.02C1884.62,-290.86 1892.37,-288.69 1899.63,-287 1977.05,-269.02 2069.7,-256.03 2117.76,-249.92\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2124.8,-249.04 2118.25,-253.04 2121.33,-249.47 2117.86,-249.91 2117.86,-249.91 2117.86,-249.91 2121.33,-249.47 2117.46,-246.79 2124.8,-249.04 2124.8,-249.04\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1976.63\" y=\"-290.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1995.13\" y=\"-275.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g id=\"edge31\" class=\"edge\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1835.78,-318.66C1832.81,-328.62 1837.26,-338 1849.14,-338 1858.04,-338 1862.77,-332.73 1863.33,-325.89\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1862.5,-318.66 1866.43,-325.26 1862.9,-322.14 1863.3,-325.62 1863.3,-325.62 1863.3,-325.62 1862.9,-322.14 1860.17,-325.98 1862.5,-318.66 1862.5,-318.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1822.64\" y=\"-356.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1841.14\" y=\"-341.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->8 -->\n",
|
|
"<g id=\"edge33\" class=\"edge\">\n",
|
|
"<title>7->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1818.1,-308.03C1763.15,-318.51 1642.64,-339 1540,-339 1239.56,-339 1239.56,-339 1239.56,-339 1197.85,-339 1150.49,-348.5 1120.31,-355.79\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1113.39,-357.5 1119.44,-352.76 1116.79,-356.66 1120.19,-355.82 1120.19,-355.82 1120.19,-355.82 1116.79,-356.66 1120.94,-358.88 1113.39,-357.5 1113.39,-357.5\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1437.35\" y=\"-357.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-342.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
|
"<title>12</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"2003.13\" cy=\"-355\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1986.13\" y=\"-351.3\" font-family=\"Lato\" font-size=\"14.00\">5#13</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->12 -->\n",
|
|
"<g id=\"edge32\" class=\"edge\">\n",
|
|
"<title>7->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1869.51,-316.34C1878.32,-322.26 1889.11,-328.73 1899.63,-333 1920.21,-341.35 1944.46,-346.74 1964.2,-350.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1971.26,-351.24 1963.84,-353.22 1967.8,-350.68 1964.35,-350.11 1964.35,-350.11 1964.35,-350.11 1967.8,-350.68 1964.85,-347 1971.26,-351.24 1971.26,-351.24\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1901.63\" y=\"-365.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-350.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->3 -->\n",
|
|
"<g id=\"edge36\" class=\"edge\">\n",
|
|
"<title>8->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1075.15,-347.99C1067.28,-339.08 1056.22,-328.84 1043.77,-324 1021.05,-315.17 993.42,-319.13 972.86,-324.62\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"965.9,-326.6 971.76,-321.65 969.26,-325.64 972.63,-324.68 972.63,-324.68 972.63,-324.68 969.26,-325.64 973.49,-327.71 965.9,-326.6 965.9,-326.6\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"990.77\" y=\"-342.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1007.27\" y=\"-327.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->6 -->\n",
|
|
"<g id=\"edge34\" class=\"edge\">\n",
|
|
"<title>8->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1107.24,-350.96C1114.83,-346.07 1124.01,-340.98 1133.06,-338 1328.33,-273.75 1848.37,-258.19 2053.63,-247 2074.78,-245.85 2098.57,-245.59 2117.26,-245.62\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2124.41,-245.65 2117.4,-248.77 2120.91,-245.64 2117.41,-245.62 2117.41,-245.62 2117.41,-245.62 2120.91,-245.64 2117.43,-242.47 2124.41,-245.65 2124.41,-245.65\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1585.65\" y=\"-290.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-275.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->11 -->\n",
|
|
"<g id=\"edge37\" class=\"edge\">\n",
|
|
"<title>8->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1114.66,-367.38C1135.03,-370.14 1164.41,-374.19 1190.06,-378 1260.38,-388.45 1278.52,-388.21 1348.06,-403 1404.88,-415.09 1470.08,-433.64 1507.42,-444.72\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1514.5,-446.83 1506.89,-447.85 1511.15,-445.83 1507.79,-444.83 1507.79,-444.83 1507.79,-444.83 1511.15,-445.83 1508.69,-441.81 1514.5,-446.83 1514.5,-446.83\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1291.06\" y=\"-421.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1311.56\" y=\"-406.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"node15\" class=\"node\">\n",
|
|
"<title>13</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1240.56\" cy=\"-424\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1223.56\" y=\"-420.3\" font-family=\"Lato\" font-size=\"14.00\">3#14</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->13 -->\n",
|
|
"<g id=\"edge35\" class=\"edge\">\n",
|
|
"<title>8->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1113.4,-370.93C1134.04,-377.18 1164.46,-387.03 1190.06,-398 1196.89,-400.92 1204.05,-404.42 1210.75,-407.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1217.25,-411.33 1209.59,-410.84 1214.16,-409.69 1211.06,-408.06 1211.06,-408.06 1211.06,-408.06 1214.16,-409.69 1212.53,-405.27 1217.25,-411.33 1217.25,-411.33\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1135.06\" y=\"-416.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-401.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"edge38\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M533.78,-404.02C540.76,-400.95 548.59,-397.67 555.88,-395 642.73,-363.15 666.84,-362.46 755.18,-335 759.46,-333.67 763.98,-332.24 768.42,-330.83\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"775.29,-328.63 769.58,-333.77 771.96,-329.7 768.62,-330.76 768.62,-330.76 768.62,-330.76 771.96,-329.7 767.66,-327.76 775.29,-328.63 775.29,-328.63\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"631.03\" y=\"-387.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"649.53\" y=\"-372.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->5 -->\n",
|
|
"<g id=\"edge39\" class=\"edge\">\n",
|
|
"<title>9->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M522.02,-430.64C529.94,-443 542.01,-459.61 555.88,-471 584.6,-494.6 595.89,-495.46 630.88,-508 816.03,-574.39 866.37,-586.41 1061.77,-609 1188.41,-623.64 1230.51,-640.37 1348.06,-591 1356.59,-587.41 1364.82,-581.65 1371.79,-575.82\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1377.33,-570.96 1374.15,-577.94 1374.7,-573.27 1372.07,-575.58 1372.07,-575.58 1372.07,-575.58 1374.7,-573.27 1369.99,-573.21 1377.33,-570.96 1377.33,-570.96\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"917.62\" y=\"-615.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"934.12\" y=\"-600.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->9 -->\n",
|
|
"<g id=\"edge40\" class=\"edge\">\n",
|
|
"<title>9->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M498.68,-430.29C495.66,-440.39 499.84,-450 511.23,-450 519.78,-450 524.26,-444.59 524.7,-437.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"523.78,-430.29 527.77,-436.85 524.21,-433.76 524.65,-437.24 524.65,-437.24 524.65,-437.24 524.21,-433.76 521.52,-437.63 523.78,-430.29 523.78,-430.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"482.73\" y=\"-468.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"503.23\" y=\"-453.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"node16\" class=\"node\">\n",
|
|
"<title>14</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"657.53\" cy=\"-433\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"645.03\" y=\"-429.3\" font-family=\"Lato\" font-size=\"14.00\">9#9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->14 -->\n",
|
|
"<g id=\"edge41\" class=\"edge\">\n",
|
|
"<title>9->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M535.53,-406.22C556.26,-400.51 587.2,-395.02 612.88,-403 620.68,-405.42 628.32,-409.77 634.97,-414.43\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"640.78,-418.73 633.28,-417.09 637.97,-416.65 635.16,-414.56 635.16,-414.56 635.16,-414.56 637.97,-416.65 637.04,-412.03 640.78,-418.73 640.78,-418.73\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"557.88\" y=\"-421.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"576.38\" y=\"-406.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->6 -->\n",
|
|
"<g id=\"edge42\" class=\"edge\">\n",
|
|
"<title>10->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1723.74,-485.84C1787.05,-488.14 1932.22,-486.25 2035.63,-430 2097.98,-396.08 2130.69,-312.28 2143.58,-270.5\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2145.63,-263.69 2146.63,-271.3 2144.62,-267.04 2143.62,-270.39 2143.62,-270.39 2143.62,-270.39 2144.62,-267.04 2140.6,-269.49 2145.63,-263.69 2145.63,-263.69\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1899.63\" y=\"-492.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-477.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->7 -->\n",
|
|
"<g id=\"edge43\" class=\"edge\">\n",
|
|
"<title>10->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1694.06,-465.67C1698,-436.96 1709.52,-381.25 1741.64,-348 1760.62,-328.35 1773.58,-335.87 1798.64,-325 1804.77,-322.34 1811.28,-319.4 1817.49,-316.54\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1824.08,-313.48 1819.06,-319.28 1820.91,-314.95 1817.73,-316.43 1817.73,-316.43 1817.73,-316.43 1820.91,-314.95 1816.41,-313.57 1824.08,-313.48 1824.08,-313.48\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1745.64\" y=\"-366.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1762.14\" y=\"-351.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->10 -->\n",
|
|
"<g id=\"edge44\" class=\"edge\">\n",
|
|
"<title>10->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1677.43,-500.66C1674.39,-510.62 1678.96,-520 1691.14,-520 1700.28,-520 1705.14,-514.73 1705.71,-507.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1704.85,-500.66 1708.81,-507.24 1705.27,-504.14 1705.68,-507.62 1705.68,-507.62 1705.68,-507.62 1705.27,-504.14 1702.55,-507.99 1704.85,-500.66 1704.85,-500.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1664.64\" y=\"-538.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1683.14\" y=\"-523.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->11 -->\n",
|
|
"<g id=\"edge45\" class=\"edge\">\n",
|
|
"<title>10->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1661.27,-491.11C1639.35,-495.15 1608.79,-497.84 1583.65,-489 1574.77,-485.88 1566.36,-480.11 1559.34,-474.14\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1553.78,-469.14 1561.09,-471.48 1556.38,-471.48 1558.98,-473.82 1558.98,-473.82 1558.98,-473.82 1556.38,-471.48 1556.87,-476.16 1553.78,-469.14 1553.78,-469.14\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1583.65\" y=\"-512.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-497.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->6 -->\n",
|
|
"<g id=\"edge46\" class=\"edge\">\n",
|
|
"<title>11->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1546.47,-471.44C1553.39,-487.98 1565.85,-512.55 1583.65,-528 1610.88,-551.64 1623.27,-551.98 1658.65,-559 1788.72,-584.82 1829.73,-557.81 1952.63,-508 2029.87,-476.69 2060.35,-470.31 2106.63,-401 2133.5,-360.75 2143.99,-304.05 2147.96,-271.56\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2148.8,-264.24 2151.14,-271.55 2148.4,-267.71 2148.01,-271.19 2148.01,-271.19 2148.01,-271.19 2148.4,-267.71 2144.88,-270.83 2148.8,-264.24 2148.8,-264.24\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1822.64\" y=\"-577.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1841.14\" y=\"-562.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->10 -->\n",
|
|
"<g id=\"edge47\" class=\"edge\">\n",
|
|
"<title>11->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1565.31,-450.7C1585.98,-448.85 1615.72,-448.1 1640.65,-455 1649.04,-457.32 1657.48,-461.45 1664.96,-465.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1670.98,-469.62 1663.38,-468.59 1668.01,-467.77 1665.04,-465.92 1665.04,-465.92 1665.04,-465.92 1668.01,-467.77 1666.7,-463.25 1670.98,-469.62 1670.98,-469.62\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1585.65\" y=\"-473.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-458.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->11 -->\n",
|
|
"<g id=\"edge49\" class=\"edge\">\n",
|
|
"<title>11->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1526.45,-470.29C1523.43,-480.39 1527.61,-490 1539,-490 1547.54,-490 1552.03,-484.59 1552.46,-477.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1551.55,-470.29 1555.54,-476.85 1551.98,-473.76 1552.41,-477.24 1552.41,-477.24 1552.41,-477.24 1551.98,-473.76 1549.29,-477.63 1551.55,-470.29 1551.55,-470.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1510.5\" y=\"-508.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-493.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->12 -->\n",
|
|
"<g id=\"edge48\" class=\"edge\">\n",
|
|
"<title>11->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1552.43,-438.39C1560.36,-429.62 1571.42,-419.39 1583.65,-414 1734.29,-347.54 1794.69,-427.52 1952.63,-381 1960.19,-378.77 1967.93,-375.35 1974.98,-371.7\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1981.23,-368.32 1976.57,-374.42 1978.15,-369.99 1975.07,-371.65 1975.07,-371.65 1975.07,-371.65 1978.15,-369.99 1973.57,-368.88 1981.23,-368.32 1981.23,-368.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1745.64\" y=\"-411.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1762.14\" y=\"-396.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->6 -->\n",
|
|
"<g id=\"edge50\" class=\"edge\">\n",
|
|
"<title>12->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2024.55,-341.46C2045.53,-327.36 2078.92,-304.4 2106.63,-283 2114,-277.31 2121.82,-270.82 2128.78,-264.89\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2134.4,-260.06 2131.14,-267.01 2131.74,-262.34 2129.09,-264.63 2129.09,-264.63 2129.09,-264.63 2131.74,-262.34 2127.03,-262.24 2134.4,-260.06 2134.4,-260.06\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2053.63\" y=\"-339.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2072.13\" y=\"-324.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->7 -->\n",
|
|
"<g id=\"edge51\" class=\"edge\">\n",
|
|
"<title>12->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1992.48,-337.72C1983.95,-324.38 1970.14,-306.89 1952.63,-299 1931.87,-289.64 1906.27,-290.39 1885.84,-293.47\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1878.85,-294.65 1885.23,-290.38 1882.3,-294.07 1885.76,-293.49 1885.76,-293.49 1885.76,-293.49 1882.3,-294.07 1886.28,-296.59 1878.85,-294.65 1878.85,-294.65\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1901.63\" y=\"-317.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-302.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->11 -->\n",
|
|
"<g id=\"edge53\" class=\"edge\">\n",
|
|
"<title>12->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1988.64,-371.25C1979.52,-381.14 1966.61,-393.15 1952.63,-400 1804.28,-472.71 1747.16,-421.38 1583.65,-445 1579.62,-445.58 1575.41,-446.3 1571.26,-447.08\"/>\n",
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"<text text-anchor=\"start\" x=\"1741.64\" y=\"-458.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"1762.14\" y=\"-443.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"</g>\n",
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"<!-- 13->5 -->\n",
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"<text text-anchor=\"start\" x=\"1295.06\" y=\"-499.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
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"</g>\n",
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"<!-- 13->13 -->\n",
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"</g>\n",
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"<g id=\"edge58\" class=\"edge\">\n",
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"<title>14->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M681,-424.34C701.79,-415.58 732.78,-400.55 755.18,-381 767.24,-370.47 777.88,-356.01 785.63,-343.93\"/>\n",
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"</g>\n",
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"<!-- 14->9 -->\n",
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"<g id=\"edge60\" class=\"edge\">\n",
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"</g>\n",
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"<!-- 14->14 -->\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3d81e0> >"
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]
|
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},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"p3 = spot.acd_transform(a3, True)\n",
|
|
"p3.copy_state_names_from(a3)\n",
|
|
"p3"
|
|
]
|
|
},
|
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{
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|
"cell_type": "markdown",
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"id": "f039aeaa",
|
|
"metadata": {},
|
|
"source": [
|
|
"Note how the cycles `2#4 → 3#4 → 2#4` and `2#4 → 3#12 → 2#8 → 3#4 → 2#4` corresponds to the two cycles stepped though before."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"id": "numerical-education",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
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"True"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"a3.equivalent_to(p3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "07aaab3a",
|
|
"metadata": {},
|
|
"source": [
|
|
"By default, the construction will try to save colors by not emitting colors between SCCs, and not emitting colors for the largest level of an SCC when the parity allows it. So this automaton can actually be paritized with two colors:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"id": "3e239a0c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
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"data": {
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"</g>\n",
|
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"<!-- 0->0 -->\n",
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|
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"<text text-anchor=\"start\" x=\"195.79\" y=\"-517.3\" font-family=\"Lato\" font-size=\"14.00\">1#10</text>\n",
|
|
"</g>\n",
|
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"<!-- 0->1 -->\n",
|
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"<g id=\"edge3\" class=\"edge\">\n",
|
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"<title>0->1</title>\n",
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|
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"<text text-anchor=\"start\" x=\"109.3\" y=\"-524.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 2 -->\n",
|
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"<g id=\"node4\" class=\"node\">\n",
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"<title>2</title>\n",
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|
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"<text text-anchor=\"start\" x=\"787.32\" y=\"-340.3\" font-family=\"Lato\" font-size=\"14.00\">2#4</text>\n",
|
|
"</g>\n",
|
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"<!-- 0->2 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\">\n",
|
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"<title>0->2</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M67.39,-502.8C74.05,-444.79 103.24,-268 211.79,-268 211.79,-268 211.79,-268 658.53,-268 683.24,-268 741.64,-304.91 774.77,-327.28\"/>\n",
|
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|
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|
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"</g>\n",
|
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"<!-- 0->3 -->\n",
|
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"<g id=\"edge5\" class=\"edge\">\n",
|
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"<title>0->3</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M74.69,-537.73C94.57,-572.01 145.63,-647 211.79,-647 211.79,-647 211.79,-647 585.38,-647 752.05,-647 885.83,-454.41 927.55,-386.98\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"486.73\" y=\"-650.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
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"<!-- 1->1 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
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"<title>1->1</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M199.43,-537.66C196.46,-547.62 200.92,-557 212.79,-557 221.7,-557 226.43,-551.73 226.99,-544.89\"/>\n",
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"<text text-anchor=\"start\" x=\"186.29\" y=\"-560.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 1->2 -->\n",
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"<g id=\"edge7\" class=\"edge\">\n",
|
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"<title>1->2</title>\n",
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"<text text-anchor=\"start\" x=\"484.73\" y=\"-542.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"364.94\" cy=\"-433\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"352.44\" y=\"-429.3\" font-family=\"Lato\" font-size=\"14.00\">4#2</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
|
"<title>1->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M240.25,-510.99C262.47,-502.02 294.62,-487.73 320.29,-471 328.47,-465.67 336.74,-458.9 343.84,-452.57\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"349.02,-447.83 345.97,-454.88 346.44,-450.19 343.85,-452.55 343.85,-452.55 343.85,-452.55 346.44,-450.19 341.73,-450.23 349.02,-447.83 349.02,-447.83\"/>\n",
|
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"<text text-anchor=\"start\" x=\"263.29\" y=\"-518.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"283.79\" y=\"-503.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1392.7\" cy=\"-556\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1380.2\" y=\"-552.3\" font-family=\"Lato\" font-size=\"14.00\">5#4</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->5 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
|
"<title>1->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M235.95,-533.64C244.32,-538.02 254.05,-542.67 263.29,-546 295.81,-557.74 835.39,-685 869.97,-685 869.97,-685 869.97,-685 1241.56,-685 1305.88,-685 1356.41,-616.04 1378.93,-578.96\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1382.55,-572.86 1381.68,-580.49 1380.76,-575.87 1378.98,-578.88 1378.98,-578.88 1378.98,-578.88 1380.76,-575.87 1376.27,-577.27 1382.55,-572.86 1382.55,-572.86\"/>\n",
|
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"<text text-anchor=\"start\" x=\"775.32\" y=\"-680.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
|
"<title>2->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M787.62,-360.29C784.68,-370.39 788.75,-380 799.82,-380 808.13,-380 812.49,-374.59 812.91,-367.63\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"812.02,-360.29 815.99,-366.86 812.44,-363.76 812.87,-367.24 812.87,-367.24 812.87,-367.24 812.44,-363.76 809.74,-367.62 812.02,-360.29 812.02,-360.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"773.32\" y=\"-398.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"791.82\" y=\"-383.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->3 -->\n",
|
|
"<g id=\"edge13\" class=\"edge\">\n",
|
|
"<title>2->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M823.26,-334.93C843.21,-328.22 872.94,-321.57 897.47,-330 906.13,-332.97 914.39,-338.45 921.35,-344.15\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"926.87,-348.93 919.52,-346.73 924.23,-346.64 921.58,-344.35 921.58,-344.35 921.58,-344.35 924.23,-346.64 923.65,-341.97 926.87,-348.93 926.87,-348.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"846.47\" y=\"-348.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"862.97\" y=\"-333.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>6</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"2151.28\" cy=\"-246\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2138.78\" y=\"-242.3\" font-family=\"Lato\" font-size=\"14.00\">2#8</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->6 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>2->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M801.11,-325.7C802.39,-266.91 809.17,-84.05 844.47,-39 873.04,-2.54 894.8,0 941.12,0 941.12,0 941.12,0 2004.13,0 2052.87,0 2074.95,-1.96 2106.63,-39 2129.9,-66.21 2143.04,-172.06 2147.99,-220.97\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2148.68,-228.03 2144.86,-221.38 2148.34,-224.55 2148,-221.07 2148,-221.07 2148,-221.07 2148.34,-224.55 2151.13,-220.76 2148.68,-228.03 2148.68,-228.03\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1437.35\" y=\"-18.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-3.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node9\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1849.14\" cy=\"-302\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1832.14\" y=\"-298.3\" font-family=\"Lato\" font-size=\"14.00\">3#12</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->7 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\">\n",
|
|
"<title>2->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M809.49,-327.03C832.06,-284.88 897.16,-175.42 986.77,-129 1107.43,-66.49 1155.32,-105.67 1291.06,-99 1413.16,-93 1449.96,-75.49 1565.65,-115 1674.27,-152.09 1781.44,-241.3 1826.26,-281.62\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1831.66,-286.51 1824.36,-284.15 1829.07,-284.16 1826.47,-281.81 1826.47,-281.81 1826.47,-281.81 1829.07,-284.16 1828.59,-279.48 1831.66,-286.51 1831.66,-286.51\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1293.06\" y=\"-117.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1311.56\" y=\"-102.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->2 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>3->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M915.43,-365.08C895.8,-365.39 868.19,-364.72 844.47,-360 839.46,-359 834.27,-357.52 829.28,-355.86\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"822.64,-353.5 830.3,-352.88 825.94,-354.67 829.24,-355.85 829.24,-355.85 829.24,-355.85 825.94,-354.67 828.19,-358.81 822.64,-353.5 822.64,-353.5\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"844.47\" y=\"-383.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"862.97\" y=\"-368.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->5 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>3->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M954.62,-380.23C962.67,-390.67 974.2,-403.94 986.77,-413 1125.05,-512.74 1185.38,-490.94 1348.06,-542 1352.34,-543.34 1356.86,-544.78 1361.3,-546.19\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1368.16,-548.39 1360.53,-549.26 1364.83,-547.32 1361.49,-546.26 1361.49,-546.26 1361.49,-546.26 1364.83,-547.32 1362.45,-543.26 1368.16,-548.39 1368.16,-548.39\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1137.06\" y=\"-520.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-505.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>3->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M952.62,-347.18C972.79,-313.93 1023.33,-243 1087.41,-243 1087.41,-243 1087.41,-243 1320.56,-243 1505.9,-243 1725.61,-279.41 1811.32,-295.02\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1818.23,-296.29 1810.78,-298.13 1814.79,-295.66 1811.34,-295.03 1811.34,-295.03 1811.34,-295.03 1814.79,-295.66 1811.91,-291.93 1818.23,-296.29 1818.23,-296.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1366.2\" y=\"-264.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1384.7\" y=\"-249.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1088.41\" cy=\"-364\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1075.91\" y=\"-360.3\" font-family=\"Lato\" font-size=\"14.00\">6#7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->8 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>3->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M965.94,-372.15C972.57,-374.15 979.88,-376 986.77,-377 1011.83,-380.65 1018.7,-380.65 1043.77,-377 1048.28,-376.34 1052.99,-375.32 1057.56,-374.13\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1064.59,-372.15 1058.7,-377.08 1061.22,-373.1 1057.85,-374.05 1057.85,-374.05 1057.85,-374.05 1061.22,-373.1 1057,-371.01 1064.59,-372.15 1064.59,-372.15\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"986.77\" y=\"-397.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1007.27\" y=\"-382.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->1 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>4->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M339.32,-427.75C317.72,-424.52 286.25,-423.27 263.29,-437 241.46,-450.06 228.2,-476.73 220.97,-496.54\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"218.67,-503.22 217.97,-495.58 219.81,-499.91 220.95,-496.6 220.95,-496.6 220.95,-496.6 219.81,-499.91 223.93,-497.63 218.67,-503.22 218.67,-503.22\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"265.29\" y=\"-455.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"283.79\" y=\"-440.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>4->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M389.06,-425.14C424.55,-413.34 494.78,-391.05 555.88,-378 630.2,-362.12 718.96,-351.86 765.91,-347.1\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"773.08,-346.38 766.43,-350.21 769.6,-346.73 766.11,-347.08 766.11,-347.08 766.11,-347.08 769.6,-346.73 765.8,-343.94 773.08,-346.38 773.08,-346.38\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"557.88\" y=\"-381.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->3 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>4->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M380.54,-418.26C388.53,-410.94 398.94,-402.5 409.58,-397 556.56,-321 608.12,-328.54 773.18,-317 828.33,-313.14 846.95,-299.55 897.47,-322 907.78,-326.58 917.11,-334.7 924.47,-342.58\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"929.25,-347.95 922.24,-344.81 926.92,-345.34 924.6,-342.72 924.6,-342.72 924.6,-342.72 926.92,-345.34 926.95,-340.63 929.25,-347.95 929.25,-347.95\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"633.03\" y=\"-329.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"511.23\" cy=\"-433\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"498.73\" y=\"-429.3\" font-family=\"Lato\" font-size=\"14.00\">7#1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->9 -->\n",
|
|
"<g id=\"edge21\" class=\"edge\">\n",
|
|
"<title>4->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M391.73,-433C415.59,-433 451.18,-433 477.13,-433\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"484.17,-433 477.17,-436.15 480.67,-433 477.17,-433 477.17,-433 477.17,-433 480.67,-433 477.17,-429.85 484.17,-433 484.17,-433\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"409.58\" y=\"-436.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"edge22\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1369.87,-565.43C1363.01,-568.01 1355.33,-570.49 1348.06,-572 1275.92,-586.93 1168.43,-591.22 1133.06,-581 987.38,-538.9 957.33,-500.27 844.47,-399 833.85,-389.47 823.82,-377.16 816.06,-366.6\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"811.76,-360.62 818.4,-364.47 813.8,-363.47 815.85,-366.31 815.85,-366.31 815.85,-366.31 813.8,-363.47 813.29,-368.15 811.76,-360.62 811.76,-360.62\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1061.91\" y=\"-593.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1080.41\" y=\"-578.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->3 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>5->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1365.97,-557.63C1318.59,-559.82 1214.88,-560.72 1133.06,-534 1060.72,-510.37 1039.16,-500.2 986.77,-445 971.14,-428.53 959.41,-405.38 952.07,-388.05\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"949.38,-381.48 954.94,-386.76 950.7,-384.72 952.03,-387.96 952.03,-387.96 952.03,-387.96 950.7,-384.72 949.11,-389.15 949.38,-381.48 949.38,-381.48\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1137.06\" y=\"-565.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-550.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"node12\" class=\"node\">\n",
|
|
"<title>10</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1691.14\" cy=\"-489\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1674.14\" y=\"-485.3\" font-family=\"Lato\" font-size=\"14.00\">5#11</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g id=\"edge24\" class=\"edge\">\n",
|
|
"<title>5->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1419.39,-557.82C1465.61,-560.1 1564.99,-560.48 1640.65,-529 1651.25,-524.59 1661.41,-517.16 1669.74,-509.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1675.19,-504.93 1672.13,-511.97 1672.6,-507.28 1670.01,-509.64 1670.01,-509.64 1670.01,-509.64 1672.6,-507.28 1667.89,-507.31 1675.19,-504.93 1675.19,-504.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1512.5\" y=\"-574.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-559.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"node13\" class=\"node\">\n",
|
|
"<title>11</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1539\" cy=\"-454\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1526.5\" y=\"-450.3\" font-family=\"Lato\" font-size=\"14.00\">8#5</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->11 -->\n",
|
|
"<g id=\"edge25\" class=\"edge\">\n",
|
|
"<title>5->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1406.96,-540.72C1415.18,-531.75 1426.27,-520.53 1437.35,-512 1460.28,-494.35 1489.12,-478.27 1510.04,-467.54\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1516.54,-464.25 1511.72,-470.22 1513.42,-465.83 1510.3,-467.41 1510.3,-467.41 1510.3,-467.41 1513.42,-465.83 1508.87,-464.6 1516.54,-464.25 1516.54,-464.25\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1437.35\" y=\"-530.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-515.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->2 -->\n",
|
|
"<g id=\"edge27\" class=\"edge\">\n",
|
|
"<title>6->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2146.01,-228.19C2133.39,-180.41 2091.55,-53 2004.13,-53 941.12,-53 941.12,-53 941.12,-53 823.69,-53 804.5,-247.65 801.4,-318.55\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"801.13,-325.8 798.25,-318.68 801.26,-322.3 801.39,-318.8 801.39,-318.8 801.39,-318.8 801.26,-322.3 804.54,-318.92 801.13,-325.8 801.13,-325.8\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1439.35\" y=\"-71.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-56.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"edge28\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2134,-231.97C2108.25,-211.28 2055.75,-175 2004.13,-175 1769.14,-175 1769.14,-175 1769.14,-175 1569.53,-175 1520.17,-197 1320.56,-197 1087.41,-197 1087.41,-197 1087.41,-197 1036.44,-197 1020.42,-213.71 986.77,-252 964.69,-277.11 953.15,-314.65 947.61,-339.23\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"946.14,-346.11 944.52,-338.6 946.87,-342.68 947.6,-339.26 947.6,-339.26 947.6,-339.26 946.87,-342.68 950.68,-339.92 946.14,-346.11 946.14,-346.11\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1512.5\" y=\"-207.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-192.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"edge29\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2142.16,-229.08C2134.63,-214.91 2122.25,-194.97 2106.63,-182 2068.35,-150.22 2053.88,-137 2004.13,-137 1611.15,-137 1611.15,-137 1611.15,-137 1086.35,-137 1017.49,-173.42 986.77,-200 965.85,-218.09 952.14,-297.84 946.31,-339.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"945.35,-346.08 943.18,-338.72 945.83,-342.61 946.3,-339.15 946.3,-339.15 946.3,-339.15 945.83,-342.61 949.43,-339.58 945.35,-346.08 945.35,-346.08\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1514.5\" y=\"-156.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g id=\"edge26\" class=\"edge\">\n",
|
|
"<title>6->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2139.08,-262.29C2136.14,-272.39 2140.2,-282 2151.28,-282 2159.58,-282 2163.95,-276.59 2164.37,-269.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2163.48,-262.29 2167.45,-268.86 2163.9,-265.76 2164.32,-269.24 2164.32,-269.24 2164.32,-269.24 2163.9,-265.76 2161.19,-269.62 2163.48,-262.29 2163.48,-262.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2122.78\" y=\"-300.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2143.28\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->6 -->\n",
|
|
"<g id=\"edge30\" class=\"edge\">\n",
|
|
"<title>7->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1877.45,-293.02C1884.62,-290.86 1892.37,-288.69 1899.63,-287 1977.05,-269.02 2069.7,-256.03 2117.76,-249.92\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2124.8,-249.04 2118.25,-253.04 2121.33,-249.47 2117.86,-249.91 2117.86,-249.91 2117.86,-249.91 2121.33,-249.47 2117.46,-246.79 2124.8,-249.04 2124.8,-249.04\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1976.63\" y=\"-290.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1995.13\" y=\"-275.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g id=\"edge31\" class=\"edge\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1835.78,-318.66C1832.81,-328.62 1837.26,-338 1849.14,-338 1858.04,-338 1862.77,-332.73 1863.33,-325.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1862.5,-318.66 1866.43,-325.26 1862.9,-322.14 1863.3,-325.62 1863.3,-325.62 1863.3,-325.62 1862.9,-322.14 1860.17,-325.98 1862.5,-318.66 1862.5,-318.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1822.64\" y=\"-341.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->8 -->\n",
|
|
"<g id=\"edge33\" class=\"edge\">\n",
|
|
"<title>7->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1818.1,-308.03C1763.15,-318.51 1642.64,-339 1540,-339 1239.56,-339 1239.56,-339 1239.56,-339 1197.85,-339 1150.49,-348.5 1120.31,-355.79\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1113.39,-357.5 1119.44,-352.76 1116.79,-356.66 1120.19,-355.82 1120.19,-355.82 1120.19,-355.82 1116.79,-356.66 1120.94,-358.88 1113.39,-357.5 1113.39,-357.5\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1437.35\" y=\"-357.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1457.85\" y=\"-342.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
|
"<title>12</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"2003.13\" cy=\"-355\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1986.13\" y=\"-351.3\" font-family=\"Lato\" font-size=\"14.00\">5#13</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->12 -->\n",
|
|
"<g id=\"edge32\" class=\"edge\">\n",
|
|
"<title>7->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1869.51,-316.34C1878.32,-322.26 1889.11,-328.73 1899.63,-333 1920.21,-341.35 1944.46,-346.74 1964.2,-350.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1971.26,-351.24 1963.84,-353.22 1967.8,-350.68 1964.35,-350.11 1964.35,-350.11 1964.35,-350.11 1967.8,-350.68 1964.85,-347 1971.26,-351.24 1971.26,-351.24\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1901.63\" y=\"-365.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-350.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->3 -->\n",
|
|
"<g id=\"edge36\" class=\"edge\">\n",
|
|
"<title>8->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1067.68,-352.19C1060.42,-348.48 1051.96,-344.87 1043.77,-343 1019.07,-337.37 1011.47,-337.37 986.77,-343 980.87,-344.34 974.85,-346.59 969.23,-349.12\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"962.86,-352.19 967.8,-346.32 966.01,-350.67 969.16,-349.16 969.16,-349.16 969.16,-349.16 966.01,-350.67 970.53,-351.99 962.86,-352.19 962.86,-352.19\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"990.77\" y=\"-361.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1007.27\" y=\"-346.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->6 -->\n",
|
|
"<g id=\"edge34\" class=\"edge\">\n",
|
|
"<title>8->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1107.24,-350.96C1114.83,-346.06 1124.01,-340.97 1133.06,-338 1328.34,-273.86 1848.44,-260.14 2053.63,-248 2074.78,-246.75 2098.57,-246.25 2117.26,-246.06\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2124.41,-246 2117.44,-249.21 2120.91,-246.03 2117.41,-246.06 2117.41,-246.06 2117.41,-246.06 2120.91,-246.03 2117.39,-242.91 2124.41,-246 2124.41,-246\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1585.65\" y=\"-291.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-276.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->11 -->\n",
|
|
"<g id=\"edge37\" class=\"edge\">\n",
|
|
"<title>8->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1114.66,-367.42C1135.02,-370.2 1164.4,-374.27 1190.06,-378 1260.35,-388.23 1278.48,-387.72 1348.06,-402 1413.86,-415.51 1429.83,-421.29 1494.35,-440 1498.66,-441.25 1503.2,-442.63 1507.64,-444.02\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1514.51,-446.2 1506.89,-447.09 1511.18,-445.14 1507.84,-444.08 1507.84,-444.08 1507.84,-444.08 1511.18,-445.14 1508.79,-441.08 1514.51,-446.2 1514.51,-446.2\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1291.06\" y=\"-420.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1311.56\" y=\"-405.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"node15\" class=\"node\">\n",
|
|
"<title>13</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1240.56\" cy=\"-439\" rx=\"32.49\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1223.56\" y=\"-435.3\" font-family=\"Lato\" font-size=\"14.00\">3#14</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->13 -->\n",
|
|
"<g id=\"edge35\" class=\"edge\">\n",
|
|
"<title>8->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1113.49,-371.02C1138.8,-378.61 1176.77,-390.59 1190.06,-398 1200.04,-403.56 1209.95,-411.24 1218.26,-418.44\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1223.73,-423.32 1216.41,-421.01 1221.12,-420.99 1218.5,-418.66 1218.5,-418.66 1218.5,-418.66 1221.12,-420.99 1220.6,-416.31 1223.73,-423.32 1223.73,-423.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1135.06\" y=\"-416.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-401.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"edge38\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M534.3,-423.97C541.17,-421.28 548.8,-418.41 555.88,-416 643.23,-386.34 666.96,-384.98 755.18,-358 759.47,-356.69 763.99,-355.27 768.43,-353.86\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"775.3,-351.67 769.59,-356.8 771.97,-352.74 768.63,-353.8 768.63,-353.8 768.63,-353.8 771.97,-352.74 767.68,-350.8 775.3,-351.67 775.3,-351.67\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"631.03\" y=\"-395.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->5 -->\n",
|
|
"<g id=\"edge39\" class=\"edge\">\n",
|
|
"<title>9->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M520.79,-450.09C528.27,-463.26 540.36,-480.89 555.88,-491 768.7,-629.65 861.22,-617.83 1115.06,-609 1218.9,-605.39 1251.73,-628.93 1348.06,-590 1356.4,-586.63 1364.49,-581.16 1371.39,-575.59\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1376.88,-570.94 1373.58,-577.87 1374.21,-573.2 1371.55,-575.46 1371.55,-575.46 1371.55,-575.46 1374.21,-573.2 1369.51,-573.06 1376.88,-570.94 1376.88,-570.94\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"917.62\" y=\"-616.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->9 -->\n",
|
|
"<g id=\"edge40\" class=\"edge\">\n",
|
|
"<title>9->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M498.68,-449.29C495.66,-459.39 499.84,-469 511.23,-469 519.78,-469 524.26,-463.59 524.7,-456.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"523.78,-449.29 527.77,-455.85 524.21,-452.76 524.65,-456.24 524.65,-456.24 524.65,-456.24 524.21,-452.76 521.52,-456.63 523.78,-449.29 523.78,-449.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"482.73\" y=\"-487.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"503.23\" y=\"-472.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"node16\" class=\"node\">\n",
|
|
"<title>14</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"657.53\" cy=\"-447\" rx=\"26.8\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"645.03\" y=\"-443.3\" font-family=\"Lato\" font-size=\"14.00\">9#9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->14 -->\n",
|
|
"<g id=\"edge41\" class=\"edge\">\n",
|
|
"<title>9->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M536.16,-426.49C556.77,-421.91 587.16,-417.64 612.88,-424 619.23,-425.57 625.68,-428.25 631.6,-431.24\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"637.78,-434.57 630.13,-434.03 634.7,-432.91 631.62,-431.25 631.62,-431.25 631.62,-431.25 634.7,-432.91 633.11,-428.48 637.78,-434.57 637.78,-434.57\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"557.88\" y=\"-442.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"576.38\" y=\"-427.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->6 -->\n",
|
|
"<g id=\"edge42\" class=\"edge\">\n",
|
|
"<title>10->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1723.8,-487.59C1786.6,-483.68 1930,-469.03 2035.63,-415 2072.41,-396.19 2082.45,-388.5 2106.63,-355 2125.33,-329.08 2137.49,-294.03 2144.12,-270.75\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2145.99,-263.93 2147.17,-271.51 2145.07,-267.3 2144.14,-270.67 2144.14,-270.67 2144.14,-270.67 2145.07,-267.3 2141.1,-269.84 2145.99,-263.93 2145.99,-263.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1899.63\" y=\"-480.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-465.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->7 -->\n",
|
|
"<g id=\"edge43\" class=\"edge\">\n",
|
|
"<title>10->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1693.75,-470.97C1697.28,-441.52 1708.31,-382.9 1741.64,-348 1760.51,-328.24 1773.58,-335.87 1798.64,-325 1804.77,-322.34 1811.28,-319.4 1817.49,-316.54\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1824.08,-313.48 1819.06,-319.28 1820.91,-314.95 1817.73,-316.43 1817.73,-316.43 1817.73,-316.43 1820.91,-314.95 1816.41,-313.57 1824.08,-313.48 1824.08,-313.48\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1745.64\" y=\"-366.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1762.14\" y=\"-351.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->10 -->\n",
|
|
"<g id=\"edge44\" class=\"edge\">\n",
|
|
"<title>10->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1677.43,-505.66C1674.39,-515.62 1678.96,-525 1691.14,-525 1700.28,-525 1705.14,-519.73 1705.71,-512.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1704.85,-505.66 1708.81,-512.24 1705.27,-509.14 1705.68,-512.62 1705.68,-512.62 1705.68,-512.62 1705.27,-509.14 1702.55,-512.99 1704.85,-505.66 1704.85,-505.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1664.64\" y=\"-528.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->11 -->\n",
|
|
"<g id=\"edge45\" class=\"edge\">\n",
|
|
"<title>10->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1659.87,-494.23C1638.05,-496.77 1608.24,-497.64 1583.65,-489 1574.77,-485.88 1566.36,-480.11 1559.34,-474.14\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1553.78,-469.14 1561.09,-471.48 1556.38,-471.48 1558.98,-473.82 1558.98,-473.82 1558.98,-473.82 1556.38,-471.48 1556.87,-476.16 1553.78,-469.14 1553.78,-469.14\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1583.65\" y=\"-513.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-498.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->6 -->\n",
|
|
"<g id=\"edge46\" class=\"edge\">\n",
|
|
"<title>11->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1545.73,-471.56C1552.23,-488.73 1564.49,-514.37 1583.65,-529 1611.06,-549.94 1624.44,-544.52 1658.65,-549 1790.29,-566.25 1830.46,-547.96 1952.63,-496 2028.18,-463.87 2058.16,-460.26 2106.63,-394 2133.86,-356.77 2144.21,-302.66 2148.06,-271.23\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2148.87,-264.12 2151.21,-271.44 2148.47,-267.6 2148.08,-271.08 2148.08,-271.08 2148.08,-271.08 2148.47,-267.6 2144.95,-270.72 2148.87,-264.12 2148.87,-264.12\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1822.64\" y=\"-564.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1841.14\" y=\"-549.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->10 -->\n",
|
|
"<g id=\"edge47\" class=\"edge\">\n",
|
|
"<title>11->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1565.46,-450.23C1586.2,-448.09 1615.98,-447.21 1640.65,-455 1650.15,-458 1659.46,-463.51 1667.4,-469.22\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1673.18,-473.6 1665.7,-471.88 1670.39,-471.49 1667.6,-469.37 1667.6,-469.37 1667.6,-469.37 1670.39,-471.49 1669.5,-466.86 1673.18,-473.6 1673.18,-473.6\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1585.65\" y=\"-473.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1604.15\" y=\"-458.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->11 -->\n",
|
|
"<g id=\"edge49\" class=\"edge\">\n",
|
|
"<title>11->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1526.45,-470.29C1523.43,-480.39 1527.61,-490 1539,-490 1547.54,-490 1552.03,-484.59 1552.46,-477.63\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1551.55,-470.29 1555.54,-476.85 1551.98,-473.76 1552.41,-477.24 1552.41,-477.24 1552.41,-477.24 1551.98,-473.76 1549.29,-477.63 1551.55,-470.29 1551.55,-470.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1510.5\" y=\"-508.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1531\" y=\"-493.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->12 -->\n",
|
|
"<g id=\"edge48\" class=\"edge\">\n",
|
|
"<title>11->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1552.43,-438.39C1560.36,-429.62 1571.42,-419.39 1583.65,-414 1734.29,-347.54 1794.69,-427.52 1952.63,-381 1960.19,-378.77 1967.93,-375.35 1974.98,-371.7\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1981.23,-368.32 1976.57,-374.42 1978.15,-369.99 1975.07,-371.65 1975.07,-371.65 1975.07,-371.65 1978.15,-369.99 1973.57,-368.88 1981.23,-368.32 1981.23,-368.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1745.64\" y=\"-411.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1762.14\" y=\"-396.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->6 -->\n",
|
|
"<g id=\"edge50\" class=\"edge\">\n",
|
|
"<title>12->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2024.55,-341.46C2045.53,-327.36 2078.92,-304.4 2106.63,-283 2114,-277.31 2121.82,-270.82 2128.78,-264.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2134.4,-260.06 2131.14,-267.01 2131.74,-262.34 2129.09,-264.63 2129.09,-264.63 2129.09,-264.63 2131.74,-262.34 2127.03,-262.24 2134.4,-260.06 2134.4,-260.06\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2053.63\" y=\"-339.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2072.13\" y=\"-324.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->7 -->\n",
|
|
"<g id=\"edge51\" class=\"edge\">\n",
|
|
"<title>12->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1992.48,-337.72C1983.95,-324.38 1970.14,-306.89 1952.63,-299 1931.87,-289.64 1906.27,-290.39 1885.84,-293.47\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1878.85,-294.65 1885.23,-290.38 1882.3,-294.07 1885.76,-293.49 1885.76,-293.49 1885.76,-293.49 1882.3,-294.07 1886.28,-296.59 1878.85,-294.65 1878.85,-294.65\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1901.63\" y=\"-317.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1918.13\" y=\"-302.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->11 -->\n",
|
|
"<g id=\"edge53\" class=\"edge\">\n",
|
|
"<title>12->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1988.64,-371.25C1979.52,-381.14 1966.61,-393.15 1952.63,-400 1804.33,-472.68 1746.9,-418.98 1583.65,-444 1579.61,-444.62 1575.39,-445.4 1571.24,-446.26\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1564.35,-447.76 1570.52,-443.2 1567.77,-447.02 1571.19,-446.27 1571.19,-446.27 1571.19,-446.27 1567.77,-447.02 1571.86,-449.35 1564.35,-447.76 1564.35,-447.76\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1741.64\" y=\"-458.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1762.14\" y=\"-443.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->12 -->\n",
|
|
"<g id=\"edge52\" class=\"edge\">\n",
|
|
"<title>12->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1989.77,-371.66C1986.8,-381.62 1991.26,-391 2003.13,-391 2012.04,-391 2016.77,-385.73 2017.33,-378.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2016.49,-371.66 2020.42,-378.26 2016.89,-375.14 2017.29,-378.62 2017.29,-378.62 2017.29,-378.62 2016.89,-375.14 2014.17,-378.98 2016.49,-371.66 2016.49,-371.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1976.63\" y=\"-394.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->5 -->\n",
|
|
"<g id=\"edge56\" class=\"edge\">\n",
|
|
"<title>13->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1268.19,-448.75C1298.67,-459.98 1344.85,-477.25 1348.06,-480 1364.13,-493.77 1375.62,-515.02 1382.77,-531.55\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1385.56,-538.32 1379.98,-533.05 1384.23,-535.08 1382.89,-531.85 1382.89,-531.85 1382.89,-531.85 1384.23,-535.08 1385.8,-530.64 1385.56,-538.32 1385.56,-538.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1295.06\" y=\"-498.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1311.56\" y=\"-483.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->6 -->\n",
|
|
"<g id=\"edge54\" class=\"edge\">\n",
|
|
"<title>13->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1273.46,-438.59C1334.31,-438.5 1463.67,-441.97 1494.35,-472 1532.27,-509.11 1476.5,-550.89 1512.35,-590 1542.88,-623.31 1565.96,-614 1611.15,-614 1611.15,-614 1611.15,-614 2004.13,-614 2078.12,-614 2131.01,-353.82 2145.97,-271\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2147.22,-264 2149.09,-271.44 2146.61,-267.44 2145.99,-270.89 2145.99,-270.89 2145.99,-270.89 2146.61,-267.44 2142.89,-270.34 2147.22,-264 2147.22,-264\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1664.64\" y=\"-632.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1683.14\" y=\"-617.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->8 -->\n",
|
|
"<g id=\"edge57\" class=\"edge\">\n",
|
|
"<title>13->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1208.5,-442.44C1186.02,-443.42 1155.73,-441.52 1133.06,-428 1117.77,-418.89 1106.63,-402.09 1099.43,-387.99\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1096.21,-381.33 1102.09,-386.26 1097.73,-384.48 1099.25,-387.64 1099.25,-387.64 1099.25,-387.64 1097.73,-384.48 1096.42,-389.01 1096.21,-381.33 1096.21,-381.33\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1133.06\" y=\"-460.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1153.56\" y=\"-445.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->13 -->\n",
|
|
"<g id=\"edge55\" class=\"edge\">\n",
|
|
"<title>13->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1226.85,-455.66C1223.8,-465.62 1228.37,-475 1240.56,-475 1249.7,-475 1254.55,-469.73 1255.13,-462.89\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1254.27,-455.66 1258.22,-462.24 1254.68,-459.14 1255.09,-462.62 1255.09,-462.62 1255.09,-462.62 1254.68,-459.14 1251.97,-462.99 1254.27,-455.66 1254.27,-455.66\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1214.06\" y=\"-478.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->2 -->\n",
|
|
"<g id=\"edge58\" class=\"edge\">\n",
|
|
"<title>14->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M682.27,-440.3C703.08,-433.58 733.33,-421.67 755.18,-404 767.71,-393.86 778.42,-379.29 786.1,-367.05\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"789.83,-360.89 788.89,-368.51 788.01,-363.88 786.2,-366.88 786.2,-366.88 786.2,-366.88 788.01,-363.88 783.51,-365.25 789.83,-360.89 789.83,-360.89\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"702.18\" y=\"-435.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->3 -->\n",
|
|
"<g id=\"edge59\" class=\"edge\">\n",
|
|
"<title>14->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M683.76,-451C703.38,-453.4 731.2,-455.24 755.18,-451 821.48,-439.26 838.81,-432.05 897.47,-399 905.4,-394.53 913.38,-388.64 920.3,-382.97\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"925.85,-378.29 922.53,-385.21 923.17,-380.55 920.5,-382.81 920.5,-382.81 920.5,-382.81 923.17,-380.55 918.47,-380.4 925.85,-378.29 925.85,-378.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"775.32\" y=\"-450.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->9 -->\n",
|
|
"<g id=\"edge60\" class=\"edge\">\n",
|
|
"<title>14->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M631.81,-452.69C611.25,-456.48 581.33,-459.8 555.88,-454 549.99,-452.66 543.96,-450.41 538.35,-447.88\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"531.97,-444.81 539.64,-445.01 535.12,-446.33 538.28,-447.84 538.28,-447.84 538.28,-447.84 535.12,-446.33 536.91,-450.68 531.97,-444.81 531.97,-444.81\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"555.88\" y=\"-475.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"576.38\" y=\"-460.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->14 -->\n",
|
|
"<g id=\"edge61\" class=\"edge\">\n",
|
|
"<title>14->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M645.33,-463.29C642.39,-473.39 646.45,-483 657.53,-483 665.83,-483 670.2,-477.59 670.62,-470.63\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"669.73,-463.29 673.7,-469.86 670.15,-466.76 670.57,-470.24 670.57,-470.24 670.57,-470.24 670.15,-466.76 667.44,-470.62 669.73,-463.29 669.73,-463.29\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"631.03\" y=\"-486.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296cd16c30> >"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"p3 = spot.acd_transform(a3) # second argument defaults to False\n",
|
|
"p3.copy_state_names_from(a3)\n",
|
|
"assert a3.equivalent_to(p3)\n",
|
|
"p3\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f14ee428",
|
|
"metadata": {},
|
|
"source": [
|
|
"This transformation can have substantiually fewer states than the one based on Zielonka tree, because the branches are actually restricted to only those that matter for a given state."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"id": "4f62e612",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"15"
|
|
]
|
|
},
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"p3.num_states()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"id": "20f2a45c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"27"
|
|
]
|
|
},
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"spot.zielonka_tree_transform(a3).num_states()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "ce62b966",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Typeness checks"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "e3d0ff64",
|
|
"metadata": {},
|
|
"source": [
|
|
"The ACD can be used to decide Rabin, Streett, and parity-typeness. Testing Rabin-typeness requires making sure that round nodes have no children sharing a common state, and testing Streett-typeness needs a similar test for square node. These additional tests have a cost, so they need to be enabled by passing `spot.acd_options_CHECK_RABIN`, `spot.acd_options_CHECK_STREETT`, or `spot.acd_options_CHECK_PARTIY` to the ACD constructor. The latter option implies the former two.\n",
|
|
"\n",
|
|
"As an example, automaton `a3` is Rabin-type because nodes 12 and 13, which are the children of the only round node with more than one child, do not share any state. It it not Street-type, because for instance state 2 appears in both nodes 4 and 8, two children of a square node."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"id": "7727735d",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"theacd = spot.acd(a3, spot.acd_options_CHECK_PARITY)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"id": "2d0bbc0b",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"True False False\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(theacd.has_rabin_shape(), theacd.has_streett_shape(), theacd.has_parity_shape())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "09ec9887",
|
|
"metadata": {},
|
|
"source": [
|
|
"Calling the above methods withtout passing the relevant option will raise an exception."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "816ee0eb",
|
|
"metadata": {},
|
|
"source": [
|
|
"Additonally, when the goal is only to check some typeness, the construction of the ACD can be aborted as soon as the typeness is found to be wrong. This can be enabled by passing the additional option `spot.acd_options_ABORT_WRONG_SHAPE`. In case the construction is aborted the ACD forest will be erased (to make sure it is not used), and `node_count()` will return 0."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"id": "78643aae",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"15\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(theacd.node_count())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"id": "13a7796b",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"theacd = spot.acd(a3, spot.acd_options_CHECK_STREETT | spot.acd_options_ABORT_WRONG_SHAPE)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"id": "3ee900b7",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"False 0\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(theacd.has_streett_shape(), theacd.node_count())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f380ca5f",
|
|
"metadata": {},
|
|
"source": [
|
|
"## State-based transformation\n",
|
|
"\n",
|
|
"The ACD usage can be modified slightly in order to produce a state-based automaton. The rules for stepping through the ACD are similar, except that when we detect that a cycle through all children of a node has been done, we return the current node without going to the leftmost leave of the next children. When stepping a transition from a node a child, we should act as if we were in the leftmost child of that node containing the source of tha transition. Stepping through a transition this way do not emit any color, instead the color of a state will be the level of its associated node.\n",
|
|
"(This modified transformation do not claim to be optimal, unlike the transition-based version.)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"id": "e12bb020",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"theacd = spot.acd(a3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"id": "813d15ed",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
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|
"data": {
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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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"<!-- Generated by graphviz version 2.43.0 (0)\n",
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" -->\n",
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"<!-- Title: acd Pages: 1 -->\n",
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"<svg width=\"1356pt\" height=\"458pt\"\n",
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" viewBox=\"0.00 0.00 1355.97 457.97\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 453.97)\">\n",
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"<title>acd</title>\n",
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"<text text-anchor=\"middle\" x=\"673.98\" y=\"-418.77\" font-family=\"Times,serif\" font-size=\"14.00\">min odd</text>\n",
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"<!-- 0 -->\n",
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"<g id=\"node1\" class=\"node\">\n",
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"<title>0</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"602.67,-383.18 446.67,-383.18 446.67,-300.18 602.67,-300.18 602.67,-383.18\"/>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #0</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9-16,21-28,33-36</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4,5}</text>\n",
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|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5,6,8</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 0</text>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g id=\"node2\" class=\"node\">\n",
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"<title>4</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"116.67\" cy=\"-177.69\" rx=\"116.85\" ry=\"58.88\"/>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 10,12,13,15,21,22</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{2,4,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><4></text>\n",
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"</g>\n",
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"<!-- 0->4 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>0->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M446.56,-313.57C389.61,-293.37 310.82,-264.53 242.67,-236.38 232.18,-232.05 221.28,-227.35 210.47,-222.57\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"211.57,-219.23 201.01,-218.36 208.72,-225.62 211.57,-219.23\"/>\n",
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"</g>\n",
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"<!-- 5 -->\n",
|
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"<g id=\"node3\" class=\"node\">\n",
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"<title>5</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"336.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23,24,34,36</text>\n",
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5,8</text>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->5 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->5</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M477.23,-299.8C450.9,-277.11 418.04,-248.8 390.72,-225.26\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"392.66,-222.31 382.8,-218.43 388.09,-227.61 392.66,-222.31\"/>\n",
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"</g>\n",
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"<!-- 6 -->\n",
|
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"<g id=\"node4\" class=\"node\">\n",
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"<title>6</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"524.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,15,22,23</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4}</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,5</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->6 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M524.67,-299.8C524.67,-280.47 524.67,-257.06 524.67,-235.99\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"528.17,-235.87 524.67,-225.87 521.17,-235.87 528.17,-235.87\"/>\n",
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"</g>\n",
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"<!-- 7 -->\n",
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"<g id=\"node5\" class=\"node\">\n",
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"<title>7</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"696.67\" cy=\"-177.69\" rx=\"69.09\" ry=\"48.17\"/>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,16,26</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,6</text>\n",
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->7 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>0->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M568.08,-299.8C592.71,-276.6 623.59,-247.52 648.91,-223.67\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"651.36,-226.17 656.24,-216.77 646.56,-221.08 651.36,-226.17\"/>\n",
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"</g>\n",
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"<!-- 8 -->\n",
|
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"<g id=\"node6\" class=\"node\">\n",
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"<title>8</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"843.67\" cy=\"-177.69\" rx=\"59.29\" ry=\"58.88\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9</text>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2</text>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><8></text>\n",
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"</g>\n",
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"<!-- 0->8 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>0->8</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M602.78,-314.99C653.61,-296.64 720.31,-269.4 774.67,-236.38 780.5,-232.84 786.35,-228.83 792.04,-224.61\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"794.44,-227.18 800.25,-218.31 790.18,-221.62 794.44,-227.18\"/>\n",
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"</g>\n",
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"<!-- 11 -->\n",
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"<g id=\"node12\" class=\"node\">\n",
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"<title>11</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"366.17,-83 307.17,-83 307.17,0 366.17,0 366.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><11></text>\n",
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"</g>\n",
|
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"<!-- 5->11 -->\n",
|
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"<g id=\"edge8\" class=\"edge\">\n",
|
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"<title>5->11</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M336.67,-129.38C336.67,-117.71 336.67,-105.16 336.67,-93.33\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"340.17,-93.15 336.67,-83.15 333.17,-93.15 340.17,-93.15\"/>\n",
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"</g>\n",
|
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"<!-- 12 -->\n",
|
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"<g id=\"node13\" class=\"node\">\n",
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"<title>12</title>\n",
|
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"<polygon fill=\"none\" stroke=\"black\" points=\"515.17,-83 456.17,-83 456.17,0 515.17,0 515.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
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"<text text-anchor=\"middle\" x=\"485.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
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"<text text-anchor=\"middle\" x=\"485.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><12></text>\n",
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"</g>\n",
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"<!-- 6->12 -->\n",
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|
"<g id=\"edge9\" class=\"edge\">\n",
|
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"<title>6->12</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M511.14,-130.13C507.64,-118.07 503.84,-105.02 500.28,-92.77\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"503.64,-91.78 497.49,-83.16 496.92,-93.74 503.64,-91.78\"/>\n",
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"</g>\n",
|
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"<!-- 13 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
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"<title>13</title>\n",
|
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"<polygon fill=\"none\" stroke=\"black\" points=\"592.17,-83 533.17,-83 533.17,0 592.17,0 592.17,-83\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"562.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
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"<text text-anchor=\"middle\" x=\"562.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><13></text>\n",
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"</g>\n",
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"<!-- 6->13 -->\n",
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"<g id=\"edge10\" class=\"edge\">\n",
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"<title>6->13</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M537.86,-130.13C541.24,-118.19 544.89,-105.28 548.33,-93.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"551.8,-93.73 551.16,-83.16 545.07,-91.83 551.8,-93.73\"/>\n",
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|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"node15\" class=\"node\">\n",
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"<title>14</title>\n",
|
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"<polygon fill=\"none\" stroke=\"black\" points=\"726.17,-83 667.17,-83 667.17,0 726.17,0 726.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><14></text>\n",
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"</g>\n",
|
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"<!-- 7->14 -->\n",
|
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"<g id=\"edge11\" class=\"edge\">\n",
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"<title>7->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M696.67,-129.38C696.67,-117.71 696.67,-105.16 696.67,-93.33\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"700.17,-93.15 696.67,-83.15 693.17,-93.15 700.17,-93.15\"/>\n",
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"</g>\n",
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"<!-- 1 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"949.67\" cy=\"-341.68\" rx=\"84.71\" ry=\"58.88\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #1</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 31,32,39,40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 7,9</text>\n",
|
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"<text text-anchor=\"middle\" x=\"949.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
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"<title>9</title>\n",
|
|
"<polygon fill=\"none\" stroke=\"black\" points=\"978.17,-219.19 921.17,-219.19 921.17,-136.19 978.17,-136.19 978.17,-219.19\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><9></text>\n",
|
|
"</g>\n",
|
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"<!-- 1->9 -->\n",
|
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"<g id=\"edge6\" class=\"edge\">\n",
|
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"<title>1->9</title>\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M949.67,-282.65C949.67,-265.36 949.67,-246.55 949.67,-229.74\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"953.17,-229.56 949.67,-219.56 946.17,-229.56 953.17,-229.56\"/>\n",
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|
"</g>\n",
|
|
"<!-- 2 -->\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"735\" y=\"-330.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"731.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"763.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"<text text-anchor=\"start\" x=\"779.5\" y=\"-316.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
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"<g id=\"E10\" class=\"edge\">\n",
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"<title>2->2</title>\n",
|
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"<g id=\"a_E10\"><a xlink:title=\"2->2 #10\">\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M754.56,-292.69C747.37,-313.48 750.35,-341 763.5,-341 775.26,-341 778.89,-318.98 774.37,-299.45\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"772.44,-292.69 777.39,-298.55 773.4,-296.05 774.36,-299.42 774.36,-299.42 774.36,-299.42 773.4,-296.05 771.33,-300.28 772.44,-292.69 772.44,-292.69\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"737\" y=\"-358.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"739.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"<text text-anchor=\"start\" x=\"755.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
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"<text text-anchor=\"start\" x=\"771.5\" y=\"-344.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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"</g>\n",
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"<!-- 2->3 -->\n",
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|
"<g id=\"E11\" class=\"edge\">\n",
|
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"<title>2->3</title>\n",
|
|
"<g id=\"a_E11\"><a xlink:title=\"2->3 #11\">\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M766.03,-259.06C769.12,-235.44 778.38,-194.72 806,-176 827.34,-161.54 857.89,-164.1 878.86,-168.44\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"885.85,-170.03 878.33,-171.55 882.44,-169.26 879.03,-168.48 879.03,-168.48 879.03,-168.48 882.44,-169.26 879.72,-165.41 885.85,-170.03 885.85,-170.03\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"806\" y=\"-193.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"816.5\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"832.5\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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|
"</g>\n",
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"<!-- 2->3 -->\n",
|
|
"<g id=\"E12\" class=\"edge\">\n",
|
|
"<title>2->3</title>\n",
|
|
"<g id=\"a_E12\"><a xlink:title=\"2->3 #12\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M781.61,-277.09C802.02,-276.36 836.22,-272.35 859,-255 877.32,-241.05 888.88,-217.07 895.43,-199\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"897.79,-192.15 898.49,-199.79 896.65,-195.46 895.51,-198.77 895.51,-198.77 895.51,-198.77 896.65,-195.46 892.53,-197.75 897.79,-192.15 897.79,-192.15\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"808\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"824.5\" y=\"-278.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
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|
"</g>\n",
|
|
"<!-- 3->2 -->\n",
|
|
"<g id=\"E13\" class=\"edge\">\n",
|
|
"<title>3->2</title>\n",
|
|
"<g id=\"a_E13\"><a xlink:title=\"3->2 #13\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M888.53,-185.58C880.25,-191.53 869.38,-198.78 859,-204 836.65,-215.25 826.22,-208.26 806,-223 794.34,-231.5 784.36,-244.17 777.12,-255.1\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"773.18,-261.29 774.28,-253.69 775.06,-258.34 776.94,-255.39 776.94,-255.39 776.94,-255.39 775.06,-258.34 779.59,-257.08 773.18,-261.29 773.18,-261.29\"/>\n",
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|
"</a>\n",
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|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"806\" y=\"-240.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"808.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"824.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
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"<text text-anchor=\"start\" x=\"840.5\" y=\"-226.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"E14\" class=\"edge\">\n",
|
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"<title>3->3</title>\n",
|
|
"<g id=\"a_E14\"><a xlink:title=\"3->3 #14\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M892.07,-189.04C887.8,-199.91 891.61,-211 903.5,-211 912.79,-211 917.15,-204.23 916.57,-196.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"914.93,-189.04 919.59,-195.14 915.73,-192.45 916.52,-195.86 916.52,-195.86 916.52,-195.86 915.73,-192.45 913.45,-196.57 914.93,-189.04 914.93,-189.04\"/>\n",
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|
"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"877\" y=\"-228.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"887.5\" y=\"-214.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"903.5\" y=\"-214.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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|
"</g>\n",
|
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"<!-- 3->5 -->\n",
|
|
"<g id=\"E15\" class=\"edge\">\n",
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"<title>3->5</title>\n",
|
|
"<g id=\"a_E15\"><a xlink:title=\"3->5 #15\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M920.19,-167.23C928.28,-163.65 938.44,-159.8 948,-158 975.95,-152.73 983.62,-156.15 1012,-158 1135,-166.02 1176.43,-139.52 1287,-194 1294.44,-197.66 1301.24,-203.54 1306.83,-209.43\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1311.6,-214.79 1304.59,-211.66 1309.28,-212.18 1306.95,-209.57 1306.95,-209.57 1306.95,-209.57 1309.28,-212.18 1309.3,-207.47 1311.6,-214.79 1311.6,-214.79\"/>\n",
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|
"</a>\n",
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|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"1105\" y=\"-177.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"1113.5\" y=\"-163.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"1129.5\" y=\"-163.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
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|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"S6\" class=\"node\">\n",
|
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"<title>6</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1056.5\" cy=\"-256\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1056.5\" y=\"-252.3\" font-family=\"Lato\" font-size=\"14.00\">6</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g id=\"E16\" class=\"edge\">\n",
|
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"<title>3->6</title>\n",
|
|
"<g id=\"a_E16\"><a xlink:title=\"3->6 #16\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M918.47,-185.58C926.75,-191.52 937.62,-198.77 948,-204 975,-217.59 985,-213.41 1012,-227 1020.11,-231.08 1028.52,-236.4 1035.76,-241.37\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1041.53,-245.42 1033.99,-243.98 1038.67,-243.41 1035.8,-241.4 1035.8,-241.4 1035.8,-241.4 1038.67,-243.41 1037.61,-238.82 1041.53,-245.42 1041.53,-245.42\"/>\n",
|
|
"</a>\n",
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|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"951.5\" y=\"-244.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"948\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"964\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"<text text-anchor=\"start\" x=\"980\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"996\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
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"<!-- 4->1 -->\n",
|
|
"<g id=\"E17\" class=\"edge\">\n",
|
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"<title>4->1</title>\n",
|
|
"<g id=\"a_E17\"><a xlink:title=\"4->1 #17\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M314.93,-136.76C309.23,-137.27 302.85,-137.75 297,-138 261.48,-139.52 252.5,-140.02 217,-138 213.52,-137.8 209.85,-137.49 206.26,-137.13\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"199.06,-136.34 206.36,-133.98 202.54,-136.73 206.01,-137.11 206.01,-137.11 206.01,-137.11 202.54,-136.73 205.67,-140.24 199.06,-136.34 199.06,-136.34\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"230.5\" y=\"-157.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"241\" y=\"-143.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"257\" y=\"-143.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"E18\" class=\"edge\">\n",
|
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"<title>4->2</title>\n",
|
|
"<g id=\"a_E18\"><a xlink:title=\"4->2 #18\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M351.17,-132.6C399.9,-126.49 542.48,-113.58 650,-154 687.36,-168.05 694.39,-179.25 721,-209 733.28,-222.73 744.02,-240.58 751.49,-254.55\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"754.89,-261.06 748.86,-256.31 753.27,-257.96 751.65,-254.85 751.65,-254.85 751.65,-254.85 753.27,-257.96 754.44,-253.4 754.89,-261.06 754.89,-261.06\"/>\n",
|
|
"</a>\n",
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|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"520.5\" y=\"-138.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
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"<!-- 4->3 -->\n",
|
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"<g id=\"E19\" class=\"edge\">\n",
|
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"<title>4->3</title>\n",
|
|
"<g id=\"a_E19\"><a xlink:title=\"4->3 #19\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M349.35,-126.71C373.96,-114.21 424.09,-92 469.5,-92 469.5,-92 469.5,-92 764.5,-92 814.4,-92 861.81,-132.35 885.94,-156.79\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"891,-162.03 883.87,-159.18 888.57,-159.51 886.14,-157 886.14,-157 886.14,-157 888.57,-159.51 888.41,-154.81 891,-162.03 891,-162.03\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"599\" y=\"-95.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"S7\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"470.5\" cy=\"-232\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"470.5\" y=\"-228.3\" font-family=\"Lato\" font-size=\"14.00\">7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"E20\" class=\"edge\">\n",
|
|
"<title>4->7</title>\n",
|
|
"<g id=\"a_E20\"><a xlink:title=\"4->7 #20\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M347.99,-145.02C372.13,-162.3 421.68,-197.77 449.47,-217.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"455.38,-221.89 447.86,-220.38 452.54,-219.86 449.69,-217.82 449.69,-217.82 449.69,-217.82 452.54,-219.86 451.52,-215.26 455.38,-221.89 455.38,-221.89\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"369\" y=\"-204.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"E21\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<g id=\"a_E21\"><a xlink:title=\"5->2 #21\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1316.73,-212.05C1311.47,-198.03 1301.99,-178.74 1287,-168 1193.04,-100.67 1145.35,-120.49 1030,-128 958.55,-132.65 823.81,-146.71 806,-162 779.65,-184.63 770.03,-225.31 766.52,-251.72\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"765.68,-258.76 763.38,-251.44 766.1,-255.29 766.51,-251.81 766.51,-251.81 766.51,-251.81 766.1,-255.29 769.64,-252.19 765.68,-258.76 765.68,-258.76\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1030\" y=\"-145.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1032.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1048.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1064.5\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->3 -->\n",
|
|
"<g id=\"E22\" class=\"edge\">\n",
|
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"<title>5->3</title>\n",
|
|
"<g id=\"a_E22\"><a xlink:title=\"5->3 #22\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1320.99,-247.12C1318.69,-269.23 1311.21,-305.89 1287,-324 1226.54,-369.22 1006.7,-348.49 948,-301 917.48,-276.31 908.31,-229.02 905.59,-199.92\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"905.03,-192.94 908.73,-199.66 905.31,-196.43 905.59,-199.92 905.59,-199.92 905.59,-199.92 905.31,-196.43 902.45,-200.17 905.03,-192.94 905.03,-192.94\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1105\" y=\"-367.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1121.5\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->5 -->\n",
|
|
"<g id=\"E23\" class=\"edge\">\n",
|
|
"<title>5->5</title>\n",
|
|
"<g id=\"a_E23\"><a xlink:title=\"5->5 #23\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1312.29,-243.79C1308.81,-254.42 1312.38,-265 1323,-265 1331.13,-265 1335.13,-258.8 1335,-251.12\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1333.71,-243.79 1338.02,-250.14 1334.31,-247.24 1334.92,-250.69 1334.92,-250.69 1334.92,-250.69 1334.31,-247.24 1331.82,-251.23 1333.71,-243.79 1333.71,-243.79\"/>\n",
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|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"1296.5\" y=\"-282.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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|
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"<text text-anchor=\"start\" x=\"1323\" y=\"-268.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"S8\" class=\"node\">\n",
|
|
"<title>8</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1194\" cy=\"-256\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1194\" y=\"-252.3\" font-family=\"Lato\" font-size=\"14.00\">8</text>\n",
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"</g>\n",
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"<!-- 5->8 -->\n",
|
|
"<g id=\"E24\" class=\"edge\">\n",
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"<title>5->8</title>\n",
|
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"<g id=\"a_E24\"><a xlink:title=\"5->8 #24\">\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M1316.41,-245.8C1311.09,-258.82 1301.68,-275.94 1287,-284 1264.79,-296.19 1253.91,-292.39 1230,-284 1223.64,-281.77 1217.57,-277.84 1212.33,-273.62\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1206.99,-268.99 1214.35,-271.19 1209.64,-271.28 1212.28,-273.57 1212.28,-273.57 1212.28,-273.57 1209.64,-271.28 1210.22,-275.95 1206.99,-268.99 1206.99,-268.99\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"1230\" y=\"-309.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
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"<text text-anchor=\"start\" x=\"1234.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"1250.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"1266.5\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
|
"<!-- 6->2 -->\n",
|
|
"<g id=\"E25\" class=\"edge\">\n",
|
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"<title>6->2</title>\n",
|
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"<g id=\"a_E25\"><a xlink:title=\"6->2 #25\">\n",
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|
"<path fill=\"none\" stroke=\"black\" d=\"M1045.67,-271.05C1037.91,-281.5 1026.06,-294.65 1012,-301 951.77,-328.19 845.16,-321.01 806,-308 797.33,-305.12 789.01,-299.65 782.12,-294.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"776.7,-289.46 784.07,-291.61 779.36,-291.73 782.02,-294 782.02,-294 782.02,-294 779.36,-291.73 779.98,-296.4 776.7,-289.46 776.7,-289.46\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"877\" y=\"-337.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"879.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"895.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"<text text-anchor=\"start\" x=\"911.5\" y=\"-323.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"E26\" class=\"edge\">\n",
|
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"<title>6->3</title>\n",
|
|
"<g id=\"a_E26\"><a xlink:title=\"6->3 #26\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1052.06,-238.49C1047.07,-218.41 1035.71,-186.42 1012,-172 986.52,-156.5 950.99,-161.51 927.87,-167.47\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"920.83,-169.41 926.74,-164.51 924.2,-168.48 927.58,-167.55 927.58,-167.55 927.58,-167.55 924.2,-168.48 928.41,-170.59 920.83,-169.41 920.83,-169.41\"/>\n",
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|
"</a>\n",
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"</g>\n",
|
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"<text text-anchor=\"start\" x=\"953.5\" y=\"-189.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"964\" y=\"-175.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"980\" y=\"-175.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->3 -->\n",
|
|
"<g id=\"E27\" class=\"edge\">\n",
|
|
"<title>6->3</title>\n",
|
|
"<g id=\"a_E27\"><a xlink:title=\"6->3 #27\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1038.82,-260.72C1016.41,-266.05 976.16,-271.92 948,-255 928.02,-243 916.63,-218.29 910.56,-199.49\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"908.41,-192.35 913.44,-198.15 909.42,-195.71 910.43,-199.06 910.43,-199.06 910.43,-199.06 909.42,-195.71 907.41,-199.96 908.41,-192.35 908.41,-192.35\"/>\n",
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|
"</a>\n",
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"</g>\n",
|
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"<text text-anchor=\"start\" x=\"955.5\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"972\" y=\"-270.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->8 -->\n",
|
|
"<g id=\"E28\" class=\"edge\">\n",
|
|
"<title>6->8</title>\n",
|
|
"<g id=\"a_E28\"><a xlink:title=\"6->8 #28\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1074.66,-256C1098.49,-256 1141.7,-256 1168.79,-256\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1175.98,-256 1168.98,-259.15 1172.48,-256 1168.98,-256 1168.98,-256 1168.98,-256 1172.48,-256 1168.98,-252.85 1175.98,-256 1175.98,-256\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1101\" y=\"-273.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1105.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1121.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"1137.5\" y=\"-259.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->2 -->\n",
|
|
"<g id=\"E29\" class=\"edge\">\n",
|
|
"<title>7->2</title>\n",
|
|
"<g id=\"a_E29\"><a xlink:title=\"7->2 #29\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M485.13,-242.86C493.3,-248.74 504.18,-255.49 515,-259 593.6,-284.53 693.37,-281.91 738.45,-278.99\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"745.46,-278.5 738.7,-282.13 741.97,-278.74 738.48,-278.99 738.48,-278.99 738.48,-278.99 741.97,-278.74 738.26,-275.84 745.46,-278.5 745.46,-278.5\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"597\" y=\"-284.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->5 -->\n",
|
|
"<g id=\"E30\" class=\"edge\">\n",
|
|
"<title>7->5</title>\n",
|
|
"<g id=\"a_E30\"><a xlink:title=\"7->5 #30\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M482.2,-246.19C517.13,-290.76 633.07,-425 762.5,-425 762.5,-425 762.5,-425 1195,-425 1275.74,-425 1307.72,-306.41 1317.94,-253.72\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1319.24,-246.74 1321.05,-254.2 1318.6,-250.18 1317.95,-253.62 1317.95,-253.62 1317.95,-253.62 1318.6,-250.18 1314.86,-253.04 1319.24,-246.74 1319.24,-246.74\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"879\" y=\"-428.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g id=\"E31\" class=\"edge\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<g id=\"a_E31\"><a xlink:title=\"7->7 #31\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M458.74,-246.04C454.35,-256.91 458.27,-268 470.5,-268 480.06,-268 484.54,-261.23 483.95,-253.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"482.26,-246.04 486.95,-252.11 483.07,-249.45 483.89,-252.85 483.89,-252.85 483.89,-252.85 483.07,-249.45 480.83,-253.58 482.26,-246.04 482.26,-246.04\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"442\" y=\"-285.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"430.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"<text text-anchor=\"start\" x=\"446.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"462.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"478.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"494.5\" y=\"-271.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"S9\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"623.5\" cy=\"-181\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"623.5\" y=\"-177.3\" font-family=\"Lato\" font-size=\"14.00\">9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->9 -->\n",
|
|
"<g id=\"E32\" class=\"edge\">\n",
|
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"<title>7->9</title>\n",
|
|
"<g id=\"a_E32\"><a xlink:title=\"7->9 #32\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M488.48,-230.56C510.18,-228.27 548.58,-222.68 579,-210 587.38,-206.51 595.85,-201.32 603.06,-196.29\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"608.79,-192.15 604.97,-198.8 605.96,-194.2 603.12,-196.25 603.12,-196.25 603.12,-196.25 605.96,-194.2 601.27,-193.7 608.79,-192.15 608.79,-192.15\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"520.5\" y=\"-244.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"523\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"539\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"555\" y=\"-230.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->2 -->\n",
|
|
"<g id=\"E33\" class=\"edge\">\n",
|
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"<title>8->2</title>\n",
|
|
"<g id=\"a_E33\"><a xlink:title=\"8->2 #33\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1181.49,-269.11C1175.14,-275.63 1166.78,-283.12 1158,-288 1066,-339.12 1034.27,-337.64 930,-352 874.31,-359.67 852.14,-359.13 806,-327 794.96,-319.31 785.2,-307.94 777.92,-297.98\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"773.72,-292.01 780.33,-295.92 775.74,-294.87 777.75,-297.73 777.75,-297.73 777.75,-297.73 775.74,-294.87 775.17,-299.54 773.72,-292.01 773.72,-292.01\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"953.5\" y=\"-366.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"956\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"972\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
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"<text text-anchor=\"start\" x=\"988\" y=\"-352.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->5 -->\n",
|
|
"<g id=\"E34\" class=\"edge\">\n",
|
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"<title>8->5</title>\n",
|
|
"<g id=\"a_E34\"><a xlink:title=\"8->5 #34\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1201.38,-239.39C1206.95,-227.44 1216.32,-212.2 1230,-205 1252.42,-193.2 1262.8,-197.5 1287,-205 1292.64,-206.75 1298.18,-209.75 1303.13,-213.06\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1309.05,-217.33 1301.53,-215.79 1306.21,-215.28 1303.37,-213.23 1303.37,-213.23 1303.37,-213.23 1306.21,-215.28 1305.22,-210.68 1309.05,-217.33 1309.05,-217.33\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1232\" y=\"-222.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1234.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1250.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1266.5\" y=\"-208.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->5 -->\n",
|
|
"<g id=\"E35\" class=\"edge\">\n",
|
|
"<title>8->5</title>\n",
|
|
"<g id=\"a_E35\"><a xlink:title=\"8->5 #35\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1211.86,-252.41C1233.97,-247.71 1272.89,-239.44 1298.05,-234.09\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1305.07,-232.6 1298.87,-237.14 1301.64,-233.33 1298.22,-234.06 1298.22,-234.06 1298.22,-234.06 1301.64,-233.33 1297.56,-230.97 1305.07,-232.6 1305.07,-232.6\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1234\" y=\"-266.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1242.5\" y=\"-252.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1258.5\" y=\"-252.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->8 -->\n",
|
|
"<g id=\"E36\" class=\"edge\">\n",
|
|
"<title>8->8</title>\n",
|
|
"<g id=\"a_E36\"><a xlink:title=\"8->8 #36\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1183.29,-270.79C1179.81,-281.42 1183.38,-292 1194,-292 1202.13,-292 1206.13,-285.8 1206,-278.12\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1204.71,-270.79 1209.02,-277.14 1205.31,-274.24 1205.92,-277.69 1205.92,-277.69 1205.92,-277.69 1205.31,-274.24 1202.82,-278.23 1204.71,-270.79 1204.71,-270.79\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"1165.5\" y=\"-309.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1162\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1178\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1194\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1210\" y=\"-295.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"E37\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<g id=\"a_E37\"><a xlink:title=\"9->2 #37\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M638.75,-190.91C663.33,-208.01 713.8,-243.12 742.1,-262.81\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"748.12,-267 740.58,-265.59 745.25,-265 742.38,-263 742.38,-263 742.38,-263 745.25,-265 744.17,-260.41 748.12,-267 748.12,-267\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"668\" y=\"-249.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->3 -->\n",
|
|
"<g id=\"E38\" class=\"edge\">\n",
|
|
"<title>9->3</title>\n",
|
|
"<g id=\"a_E38\"><a xlink:title=\"9->3 #38\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M641.36,-177.04C680.02,-168.52 777.97,-150.15 859,-162 865.76,-162.99 872.93,-164.8 879.45,-166.76\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"886.23,-168.91 878.6,-169.79 882.89,-167.85 879.56,-166.79 879.56,-166.79 879.56,-166.79 882.89,-167.85 880.51,-163.79 886.23,-168.91 886.23,-168.91\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
|
"<text text-anchor=\"start\" x=\"739\" y=\"-165.8\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->7 -->\n",
|
|
"<g id=\"E39\" class=\"edge\">\n",
|
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"<title>9->7</title>\n",
|
|
"<g id=\"a_E39\"><a xlink:title=\"9->7 #39\">\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M605.88,-176.05C583.89,-170.48 544.47,-163.9 515,-178 501.16,-184.62 490.33,-198.03 482.93,-209.82\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"479.18,-216.16 480.03,-208.53 480.96,-213.15 482.74,-210.14 482.74,-210.14 482.74,-210.14 480.96,-213.15 485.45,-211.74 479.18,-216.16 479.18,-216.16\"/>\n",
|
|
"</a>\n",
|
|
"</g>\n",
|
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"<text text-anchor=\"start\" x=\"518.5\" y=\"-195.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"515\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
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"<text text-anchor=\"start\" x=\"531\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"547\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
|
"<text text-anchor=\"start\" x=\"563\" y=\"-181.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
|
"<!-- 9->9 -->\n",
|
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"<g id=\"E40\" class=\"edge\">\n",
|
|
"<title>9->9</title>\n",
|
|
"<g id=\"a_E40\"><a xlink:title=\"9->9 #40\">\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M612.07,-195.04C607.8,-205.91 611.61,-217 623.5,-217 632.79,-217 637.15,-210.23 636.57,-202.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"634.93,-195.04 639.59,-201.14 635.73,-198.45 636.52,-201.86 636.52,-201.86 636.52,-201.86 635.73,-198.45 633.45,-202.57 634.93,-195.04 634.93,-195.04\"/>\n",
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"</a>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"597\" y=\"-234.8\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"607.5\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"<text text-anchor=\"start\" x=\"623.5\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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|
"</g>\n",
|
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"</g>\n",
|
|
"</svg>\n",
|
|
"</div><div><?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
|
|
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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"<!-- Generated by graphviz version 2.43.0 (0)\n",
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" -->\n",
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"<!-- Title: acd Pages: 1 -->\n",
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"<svg width=\"1356pt\" height=\"458pt\"\n",
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" viewBox=\"0.00 0.00 1355.97 457.97\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"acd1\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 453.97)\">\n",
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"<title>acd</title>\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-453.97 1351.97,-453.97 1351.97,4 -4,4\"/>\n",
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"<text text-anchor=\"middle\" x=\"673.98\" y=\"-418.77\" font-family=\"Times,serif\" font-size=\"14.00\">min odd</text>\n",
|
|
"<!-- 0 -->\n",
|
|
"<g id=\"N0\" class=\"node acdS2\n",
|
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" acdS3\n",
|
|
" acdS5\n",
|
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" acdS6\n",
|
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" acdS8\n",
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"\">\n",
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"<title>0</title>\n",
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"<polygon fill=\"white\" stroke=\"black\" points=\"602.67,-383.18 446.67,-383.18 446.67,-300.18 602.67,-300.18 602.67,-383.18\"/>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #0</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9-16,21-28,33-36</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4,5}</text>\n",
|
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5,6,8</text>\n",
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"<text text-anchor=\"middle\" x=\"524.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 0</text>\n",
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"</g>\n",
|
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"<!-- 4 -->\n",
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"<g id=\"N4\" class=\"node acdS2\n",
|
|
" acdS3\n",
|
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" acdS5\n",
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"\">\n",
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|
"<title>4</title>\n",
|
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"116.67\" cy=\"-177.69\" rx=\"116.85\" ry=\"58.88\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 10,12,13,15,21,22</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{2,4,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2,3,5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"116.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"116.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><4></text>\n",
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"</g>\n",
|
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"<!-- 0->4 -->\n",
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"<g id=\"acd1_edge1\" class=\"edge\">\n",
|
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"<title>0->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M446.56,-313.57C389.61,-293.37 310.82,-264.53 242.67,-236.38 232.18,-232.05 221.28,-227.35 210.47,-222.57\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"211.57,-219.23 201.01,-218.36 208.72,-225.62 211.57,-219.23\"/>\n",
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"</g>\n",
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"<!-- 5 -->\n",
|
|
"<g id=\"N5\" class=\"node acdS5\n",
|
|
" acdS8\n",
|
|
"\">\n",
|
|
"<title>5</title>\n",
|
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"336.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23,24,34,36</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5,8</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->5 -->\n",
|
|
"<g id=\"acd1_edge2\" class=\"edge\">\n",
|
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"<title>0->5</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M477.23,-299.8C450.9,-277.11 418.04,-248.8 390.72,-225.26\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"392.66,-222.31 382.8,-218.43 388.09,-227.61 392.66,-222.31\"/>\n",
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"</g>\n",
|
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"<!-- 6 -->\n",
|
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"<g id=\"N6\" class=\"node acdS3\n",
|
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" acdS5\n",
|
|
"\">\n",
|
|
"<title>6</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"524.67\" cy=\"-177.69\" rx=\"84.71\" ry=\"48.17\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,15,22,23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,4}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"524.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->6 -->\n",
|
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"<g id=\"acd1_edge3\" class=\"edge\">\n",
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"<title>0->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M524.67,-299.8C524.67,-280.47 524.67,-257.06 524.67,-235.99\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"528.17,-235.87 524.67,-225.87 521.17,-235.87 528.17,-235.87\"/>\n",
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"</g>\n",
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"<!-- 7 -->\n",
|
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"<g id=\"N7\" class=\"node acdS3\n",
|
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" acdS6\n",
|
|
"\">\n",
|
|
"<title>7</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"696.67\" cy=\"-177.69\" rx=\"69.09\" ry=\"48.17\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-196.49\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14,16,26</text>\n",
|
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-181.49\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-166.49\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3,6</text>\n",
|
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"<text text-anchor=\"middle\" x=\"696.67\" y=\"-151.49\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</g>\n",
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"<!-- 0->7 -->\n",
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"<g id=\"acd1_edge4\" class=\"edge\">\n",
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"<title>0->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M568.08,-299.8C592.71,-276.6 623.59,-247.52 648.91,-223.67\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"651.36,-226.17 656.24,-216.77 646.56,-221.08 651.36,-226.17\"/>\n",
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"</g>\n",
|
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"<!-- 8 -->\n",
|
|
"<g id=\"N8\" class=\"node acdS2\n",
|
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"\">\n",
|
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"<title>8</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"843.67\" cy=\"-177.69\" rx=\"59.29\" ry=\"58.88\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"843.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
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"<text text-anchor=\"middle\" x=\"843.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><8></text>\n",
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"</g>\n",
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"<!-- 0->8 -->\n",
|
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"<g id=\"acd1_edge5\" class=\"edge\">\n",
|
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"<title>0->8</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M602.78,-314.99C653.61,-296.64 720.31,-269.4 774.67,-236.38 780.5,-232.84 786.35,-228.83 792.04,-224.61\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"794.44,-227.18 800.25,-218.31 790.18,-221.62 794.44,-227.18\"/>\n",
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|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"N11\" class=\"node acdS5\n",
|
|
"\">\n",
|
|
"<title>11</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"366.17,-83 307.17,-83 307.17,0 366.17,0 366.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"336.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
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"<text text-anchor=\"middle\" x=\"336.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><11></text>\n",
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"</g>\n",
|
|
"<!-- 5->11 -->\n",
|
|
"<g id=\"acd1_edge8\" class=\"edge\">\n",
|
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"<title>5->11</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M336.67,-129.38C336.67,-117.71 336.67,-105.16 336.67,-93.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"340.17,-93.15 336.67,-83.15 333.17,-93.15 340.17,-93.15\"/>\n",
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|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"N12\" class=\"node acdS3\n",
|
|
"\">\n",
|
|
"<title>12</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"515.17,-83 456.17,-83 456.17,0 515.17,0 515.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"485.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><12></text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->12 -->\n",
|
|
"<g id=\"acd1_edge9\" class=\"edge\">\n",
|
|
"<title>6->12</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M511.14,-130.13C507.64,-118.07 503.84,-105.02 500.28,-92.77\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"503.64,-91.78 497.49,-83.16 496.92,-93.74 503.64,-91.78\"/>\n",
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|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"N13\" class=\"node acdS5\n",
|
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"\">\n",
|
|
"<title>13</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"592.17,-83 533.17,-83 533.17,0 592.17,0 592.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 23</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 5</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"562.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><13></text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->13 -->\n",
|
|
"<g id=\"acd1_edge10\" class=\"edge\">\n",
|
|
"<title>6->13</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M537.86,-130.13C541.24,-118.19 544.89,-105.28 548.33,-93.14\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"551.8,-93.73 551.16,-83.16 545.07,-91.83 551.8,-93.73\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"N14\" class=\"node acdS3\n",
|
|
"\">\n",
|
|
"<title>14</title>\n",
|
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"<polygon fill=\"white\" stroke=\"black\" points=\"726.17,-83 667.17,-83 667.17,0 726.17,0 726.17,-83\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-67.8\" font-family=\"Times,serif\" font-size=\"14.00\">T: 14</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"696.67\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><14></text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->14 -->\n",
|
|
"<g id=\"acd1_edge11\" class=\"edge\">\n",
|
|
"<title>7->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M696.67,-129.38C696.67,-117.71 696.67,-105.16 696.67,-93.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"700.17,-93.15 696.67,-83.15 693.17,-93.15 700.17,-93.15\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"N1\" class=\"node acdS7\n",
|
|
" acdS9\n",
|
|
"\">\n",
|
|
"<title>1</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"949.67\" cy=\"-341.68\" rx=\"84.71\" ry=\"58.88\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #1</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 31,32,39,40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 7,9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"N9\" class=\"node acdS9\n",
|
|
"\">\n",
|
|
"<title>9</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"black\" points=\"978.17,-219.19 921.17,-219.19 921.17,-136.19 978.17,-136.19 978.17,-219.19\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 40</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 9</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"949.67\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\"><9></text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->9 -->\n",
|
|
"<g id=\"acd1_edge6\" class=\"edge\">\n",
|
|
"<title>1->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M949.67,-282.65C949.67,-265.36 949.67,-246.55 949.67,-229.74\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"953.17,-229.56 949.67,-219.56 946.17,-229.56 953.17,-229.56\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"N2\" class=\"node acdS1\n",
|
|
" acdS4\n",
|
|
"\">\n",
|
|
"<title>2</title>\n",
|
|
"<ellipse fill=\"white\" stroke=\"black\" cx=\"1121.67\" cy=\"-341.68\" rx=\"69.09\" ry=\"58.88\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-367.98\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #2</text>\n",
|
|
"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-352.98\" font-family=\"Times,serif\" font-size=\"14.00\">T: 5,7,17</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-337.98\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-322.98\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 1,4</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-307.98\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-203.99\" font-family=\"Times,serif\" font-size=\"14.00\">T: 5</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-188.99\" font-family=\"Times,serif\" font-size=\"14.00\">{1,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"1121.67\" y=\"-158.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 2</text>\n",
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"</g>\n",
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"<g id=\"acd1_edge7\" class=\"edge\">\n",
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"<title>2->10</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1121.67,-282.65C1121.67,-265.36 1121.67,-246.55 1121.67,-229.74\"/>\n",
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"<!-- 3 -->\n",
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"<g id=\"N3\" class=\"node acdS0\n",
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"\">\n",
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"<title>3</title>\n",
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"<ellipse fill=\"white\" stroke=\"black\" cx=\"1278.67\" cy=\"-341.68\" rx=\"69.09\" ry=\"69.09\"/>\n",
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"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-375.48\" font-family=\"Times,serif\" font-size=\"14.00\">SCC #3</text>\n",
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"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-360.48\" font-family=\"Times,serif\" font-size=\"14.00\">T: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-345.48\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,5}</text>\n",
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"<text text-anchor=\"middle\" x=\"1278.67\" y=\"-315.48\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"</svg>\n",
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"</div><script>\n",
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"function acd1_clear(){\n",
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" $(\"#acd1 .node,#acdaut1 .node,#acdaut1 .edge\")\n",
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" .removeClass(\"acdhigh acdbold acdacc acdrej\");\n",
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"};\n",
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"function acd1_state(state){\n",
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" acd1_clear();\n",
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" $(\"#acd1 .acdS\" + state).addClass(\"acdhigh acdbold\");\n",
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" $(\"#acdaut1 #S\" + state).addClass(\"acdbold\");\n",
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"};\n",
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"function acd1_edge(edge){\n",
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" acd1_clear();\n",
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" var theedge = $('#acdaut1 #E' + edge)\n",
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" var classList = theedge.attr('class').split(/\\s+/);\n",
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" $.each(classList, function(index, item) {\n",
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" if (item.startsWith('acdN')) {\n",
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" $(\"#acd1 #\" + item.substring(3)).addClass(\"acdhigh acdbold\");\n",
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" }\n",
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" });\n",
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" theedge.addClass(\"acdbold\");\n",
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"};\n",
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"function acd1_node(node, acc){\n",
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" acd1_clear();\n",
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" $(\"#acdaut1 .acdN\" + node).addClass(acc\n",
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" ? \"acdacc acdbold\"\n",
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" : \"acdrej acdbold\");\n",
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" $(\"#acd1 #N\" + node).addClass(\"acdbold acdhigh\");\n",
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"};$(\"#acdaut1 #E9\").addClass(\"acdN0\");$(\"#acdaut1 #E10\").addClass(\"acdN0\");$(\"#acdaut1 #E11\").addClass(\"acdN0\");$(\"#acdaut1 #E12\").addClass(\"acdN0\");$(\"#acdaut1 #E13\").addClass(\"acdN0\");$(\"#acdaut1 #E14\").addClass(\"acdN0\");$(\"#acdaut1 #E15\").addClass(\"acdN0\");$(\"#acdaut1 #E16\").addClass(\"acdN0\");$(\"#acdaut1 #E21\").addClass(\"acdN0\");$(\"#acdaut1 #E22\").addClass(\"acdN0\");$(\"#acdaut1 #E23\").addClass(\"acdN0\");$(\"#acdaut1 #E24\").addClass(\"acdN0\");$(\"#acdaut1 #E25\").addClass(\"acdN0\");$(\"#acdaut1 #E26\").addClass(\"acdN0\");$(\"#acdaut1 #E27\").addClass(\"acdN0\");$(\"#acdaut1 #E28\").addClass(\"acdN0\");$(\"#acdaut1 #E33\").addClass(\"acdN0\");$(\"#acdaut1 #E34\").addClass(\"acdN0\");$(\"#acdaut1 #E35\").addClass(\"acdN0\");$(\"#acdaut1 #E36\").addClass(\"acdN0\");$(\"#acdaut1 #E31\").addClass(\"acdN1\");$(\"#acdaut1 #E32\").addClass(\"acdN1\");$(\"#acdaut1 #E39\").addClass(\"acdN1\");$(\"#acdaut1 #E40\").addClass(\"acdN1\");$(\"#acdaut1 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#N1\").click(function(){acd1_node(1, 1);});$(\"#acd1 #N2\").click(function(){acd1_node(2, 1);});$(\"#acd1 #N3\").click(function(){acd1_node(3, 1);});$(\"#acd1 #N4\").click(function(){acd1_node(4, 1);});$(\"#acd1 #N5\").click(function(){acd1_node(5, 1);});$(\"#acd1 #N6\").click(function(){acd1_node(6, 1);});$(\"#acd1 #N7\").click(function(){acd1_node(7, 1);});$(\"#acd1 #N8\").click(function(){acd1_node(8, 1);});$(\"#acd1 #N9\").click(function(){acd1_node(9, 0);});$(\"#acd1 #N10\").click(function(){acd1_node(10, 0);});$(\"#acd1 #N11\").click(function(){acd1_node(11, 0);});$(\"#acd1 #N12\").click(function(){acd1_node(12, 0);});$(\"#acd1 #N13\").click(function(){acd1_node(13, 0);});$(\"#acd1 #N14\").click(function(){acd1_node(14, 0);});</script>"
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],
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|
"text/plain": [
|
|
"<spot.acd; proxy of <Swig Object of type 'spot::acd *' at 0x7f296c3f34e0> >"
|
|
]
|
|
},
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "98a1474c",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let set what happens when we step through the two self-loops of state 2 (edges 9 and 10)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 39,
|
|
"id": "00acde97",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"4"
|
|
]
|
|
},
|
|
"execution_count": 39,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.first_branch(2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 40,
|
|
"id": "23c5f4df",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
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"8"
|
|
]
|
|
},
|
|
"execution_count": 40,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.state_step(4, 9)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 41,
|
|
"id": "da0bbcbe",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0"
|
|
]
|
|
},
|
|
"execution_count": 41,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"theacd.state_step(8, 10)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 42,
|
|
"id": "da0dc5bc",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"8"
|
|
]
|
|
},
|
|
"execution_count": 42,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# since 0 is not a leaf of the tree associated to state 2, the following acts like state_step(first_branch(2), 9)\n",
|
|
"theacd.state_step(0, 9) "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "c9725681",
|
|
"metadata": {},
|
|
"source": [
|
|
"The state-based version of the ACD transformation is `acd_transform_sbacc()`. In the output, the cycle between `2#8` and `2#0` corresponds to the repeatitions of edges 9 and 10 we stepped through above."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 43,
|
|
"id": "94999c2e",
|
|
"metadata": {},
|
|
"outputs": [
|
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{
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"data": {
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|
"<title>1</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M206,-766.37C206,-766.37 180,-766.37 180,-766.37 174,-766.37 168,-760.37 168,-754.37 168,-754.37 168,-742.37 168,-742.37 168,-736.37 174,-730.37 180,-730.37 180,-730.37 206,-730.37 206,-730.37 212,-730.37 218,-736.37 218,-742.37 218,-742.37 218,-754.37 218,-754.37 218,-760.37 212,-766.37 206,-766.37\"/>\n",
|
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"<text text-anchor=\"start\" x=\"176\" y=\"-744.67\" font-family=\"Lato\" font-size=\"14.00\">1#10</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\">\n",
|
|
"<title>0->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M79.05,-748.37C100.54,-748.37 135.37,-748.37 160.68,-748.37\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"167.87,-748.37 160.87,-751.52 164.37,-748.37 160.87,-748.37 160.87,-748.37 160.87,-748.37 164.37,-748.37 160.87,-745.22 167.87,-748.37 167.87,-748.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"97\" y=\"-752.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"node4\" class=\"node\">\n",
|
|
"<title>2</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M766,-625.37C766,-625.37 749,-625.37 749,-625.37 743,-625.37 737,-619.37 737,-613.37 737,-613.37 737,-599.37 737,-599.37 737,-593.37 743,-587.37 749,-587.37 749,-587.37 766,-587.37 766,-587.37 772,-587.37 778,-593.37 778,-599.37 778,-599.37 778,-613.37 778,-613.37 778,-619.37 772,-625.37 766,-625.37\"/>\n",
|
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"<text text-anchor=\"start\" x=\"745\" y=\"-610.17\" font-family=\"Lato\" font-size=\"14.00\">2#4</text>\n",
|
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"<text text-anchor=\"start\" x=\"749.5\" y=\"-595.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->2 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\">\n",
|
|
"<title>0->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M63.17,-729.36C73.73,-681.04 108.86,-557.37 192,-557.37 192,-557.37 192,-557.37 618.5,-557.37 659.45,-557.37 703.51,-576.77 730.55,-591.15\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"736.71,-594.51 729.06,-593.93 733.64,-592.83 730.56,-591.16 730.56,-591.16 730.56,-591.16 733.64,-592.83 732.06,-588.39 736.71,-594.51 736.71,-594.51\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"372\" y=\"-561.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g id=\"node5\" class=\"node\">\n",
|
|
"<title>3</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M904,-713.37C904,-713.37 887,-713.37 887,-713.37 881,-713.37 875,-707.37 875,-701.37 875,-701.37 875,-687.37 875,-687.37 875,-681.37 881,-675.37 887,-675.37 887,-675.37 904,-675.37 904,-675.37 910,-675.37 916,-681.37 916,-687.37 916,-687.37 916,-701.37 916,-701.37 916,-707.37 910,-713.37 904,-713.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"883\" y=\"-698.17\" font-family=\"Lato\" font-size=\"14.00\">3#4</text>\n",
|
|
"<text text-anchor=\"start\" x=\"887.5\" y=\"-683.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->3 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>0->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M62.76,-767.45C72.48,-817.26 106.08,-947.37 192,-947.37 192,-947.37 192,-947.37 545.5,-947.37 690.35,-947.37 762.02,-952.08 853,-839.37 881.01,-804.66 890.12,-751.94 893.08,-720.55\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"893.68,-713.43 896.23,-720.67 893.39,-716.92 893.09,-720.4 893.09,-720.4 893.09,-720.4 893.39,-716.92 889.95,-720.14 893.68,-713.43 893.68,-713.43\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"447\" y=\"-951.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>1->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M180.7,-766.52C178.81,-775.91 182.91,-784.37 193,-784.37 200.41,-784.37 204.59,-779.8 205.54,-773.66\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"205.3,-766.52 208.68,-773.41 205.42,-770.02 205.54,-773.52 205.54,-773.52 205.54,-773.52 205.42,-770.02 202.39,-773.62 205.3,-766.52 205.3,-766.52\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"166.5\" y=\"-788.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->2 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>1->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M200.93,-730.3C217.16,-691.43 261.53,-603.37 330.5,-603.37 330.5,-603.37 330.5,-603.37 618.5,-603.37 657.22,-603.37 702.03,-604.56 729.82,-605.44\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"736.85,-605.67 729.75,-608.59 733.35,-605.56 729.85,-605.44 729.85,-605.44 729.85,-605.44 733.35,-605.56 729.96,-602.3 736.85,-605.67 736.85,-605.67\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"445\" y=\"-607.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M340,-767.37C340,-767.37 323,-767.37 323,-767.37 317,-767.37 311,-761.37 311,-755.37 311,-755.37 311,-741.37 311,-741.37 311,-735.37 317,-729.37 323,-729.37 323,-729.37 340,-729.37 340,-729.37 346,-729.37 352,-735.37 352,-741.37 352,-741.37 352,-755.37 352,-755.37 352,-761.37 346,-767.37 340,-767.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"319\" y=\"-752.17\" font-family=\"Lato\" font-size=\"14.00\">4#2</text>\n",
|
|
"<text text-anchor=\"start\" x=\"323.5\" y=\"-737.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
|
"<title>1->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M218.33,-735.98C223.99,-733.66 230.09,-731.58 236,-730.37 260.82,-725.27 268.3,-724.75 293,-730.37 296.78,-731.23 300.63,-732.52 304.35,-734.03\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"310.86,-736.92 303.19,-736.96 307.67,-735.5 304.47,-734.08 304.47,-734.08 304.47,-734.08 307.67,-735.5 305.75,-731.2 310.86,-736.92 310.86,-736.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"236\" y=\"-734.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1640,-787.37C1640,-787.37 1623,-787.37 1623,-787.37 1617,-787.37 1611,-781.37 1611,-775.37 1611,-775.37 1611,-761.37 1611,-761.37 1611,-755.37 1617,-749.37 1623,-749.37 1623,-749.37 1640,-749.37 1640,-749.37 1646,-749.37 1652,-755.37 1652,-761.37 1652,-761.37 1652,-775.37 1652,-775.37 1652,-781.37 1646,-787.37 1640,-787.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1619\" y=\"-772.17\" font-family=\"Lato\" font-size=\"14.00\">5#4</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1623.5\" y=\"-757.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->5 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
|
"<title>1->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M218.18,-762.04C251.83,-780.89 314.86,-815.56 370,-842.37 581.56,-945.22 659.26,-913.37 894.5,-913.37 894.5,-913.37 894.5,-913.37 1484.5,-913.37 1551.47,-913.37 1598.65,-835.61 1619.11,-793.98\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1622.17,-787.62 1621.97,-795.3 1620.65,-790.78 1619.13,-793.93 1619.13,-793.93 1619.13,-793.93 1620.65,-790.78 1616.29,-792.57 1622.17,-787.62 1622.17,-787.62\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"871\" y=\"-917.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
|
"<title>2->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M745.13,-625.4C743.41,-634.9 747.54,-643.37 757.5,-643.37 764.82,-643.37 768.98,-638.8 770,-632.61\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"769.87,-625.4 773.15,-632.35 769.94,-628.9 770,-632.4 770,-632.4 770,-632.4 769.94,-628.9 766.85,-632.46 769.87,-625.4 769.87,-625.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"731\" y=\"-647.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->3 -->\n",
|
|
"<g id=\"edge13\" class=\"edge\">\n",
|
|
"<title>2->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M778.17,-612.71C798.17,-619.73 829.49,-632.35 853,-649.37 860.96,-655.13 868.58,-662.59 875.07,-669.78\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"879.8,-675.2 872.82,-672 877.5,-672.56 875.19,-669.93 875.19,-669.93 875.19,-669.93 877.5,-672.56 877.57,-667.85 879.8,-675.2 879.8,-675.2\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"802\" y=\"-653.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>6</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1344,-437.37C1344,-437.37 1327,-437.37 1327,-437.37 1321,-437.37 1315,-431.37 1315,-425.37 1315,-425.37 1315,-411.37 1315,-411.37 1315,-405.37 1321,-399.37 1327,-399.37 1327,-399.37 1344,-399.37 1344,-399.37 1350,-399.37 1356,-405.37 1356,-411.37 1356,-411.37 1356,-425.37 1356,-425.37 1356,-431.37 1350,-437.37 1344,-437.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1323\" y=\"-422.17\" font-family=\"Lato\" font-size=\"14.00\">2#8</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1327.5\" y=\"-407.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->6 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>2->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M759.53,-587.06C762.72,-532.54 773.89,-378.63 800,-336.37 827.05,-292.56 843.01,-269.37 894.5,-269.37 894.5,-269.37 894.5,-269.37 1190.5,-269.37 1258.28,-269.37 1304.29,-350.08 1323.86,-392.7\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1326.78,-399.19 1321.04,-394.1 1325.34,-396 1323.91,-392.81 1323.91,-392.81 1323.91,-392.81 1325.34,-396 1326.79,-391.52 1326.78,-399.19 1326.78,-399.19\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1013\" y=\"-273.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node9\" class=\"node\">\n",
|
|
"<title>7</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1930,-283.37C1930,-283.37 1913,-283.37 1913,-283.37 1907,-283.37 1901,-277.37 1901,-271.37 1901,-271.37 1901,-257.37 1901,-257.37 1901,-251.37 1907,-245.37 1913,-245.37 1913,-245.37 1930,-245.37 1930,-245.37 1936,-245.37 1942,-251.37 1942,-257.37 1942,-257.37 1942,-271.37 1942,-271.37 1942,-277.37 1936,-283.37 1930,-283.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1909\" y=\"-268.17\" font-family=\"Lato\" font-size=\"14.00\">3#6</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1913.5\" y=\"-253.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->7 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\">\n",
|
|
"<title>2->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M759.04,-587.36C761.3,-515.8 771.17,-262.84 800,-188.37 825.4,-122.76 824.14,-61.37 894.5,-61.37 894.5,-61.37 894.5,-61.37 1263.5,-61.37 1394.19,-61.37 1426.81,-66.37 1557.5,-66.37 1557.5,-66.37 1557.5,-66.37 1778.5,-66.37 1826.4,-66.37 1844.07,-77.79 1875,-114.37 1905.17,-150.06 1915.34,-205.36 1918.76,-237.91\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1919.46,-245.28 1915.67,-238.61 1919.13,-241.79 1918.8,-238.31 1918.8,-238.31 1918.8,-238.31 1919.13,-241.79 1921.94,-238.01 1919.46,-245.28 1919.46,-245.28\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1309\" y=\"-67.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->2 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>3->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M874.76,-691.84C854.41,-688.42 822.56,-680.76 800,-664.37 788.34,-655.89 778.7,-643.13 771.66,-631.73\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"768.01,-625.57 774.29,-629.99 769.8,-628.58 771.58,-631.6 771.58,-631.6 771.58,-631.6 769.8,-628.58 768.87,-633.2 768.01,-625.57 768.01,-625.57\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"800\" y=\"-690.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->5 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\">\n",
|
|
"<title>3->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M916.1,-702.99C943.42,-714.2 994.74,-732.37 1040.5,-732.37 1040.5,-732.37 1040.5,-732.37 1484.5,-732.37 1527.28,-732.37 1575.11,-747.12 1604,-757.73\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1610.57,-760.2 1602.91,-760.69 1607.29,-758.97 1604.02,-757.74 1604.02,-757.74 1604.02,-757.74 1607.29,-758.97 1605.12,-754.79 1610.57,-760.2 1610.57,-760.2\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1238\" y=\"-736.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>3->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M897.09,-675.28C899.02,-627.66 906.91,-500.19 938,-399.37 978.56,-267.81 972.32,-203 1088,-128.37 1153.41,-86.17 1183.65,-104.37 1261.5,-104.37 1261.5,-104.37 1261.5,-104.37 1778.5,-104.37 1849.33,-104.37 1893.43,-193.16 1911.32,-238.45\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1913.87,-245.07 1908.42,-239.67 1912.61,-241.8 1911.35,-238.54 1911.35,-238.54 1911.35,-238.54 1912.61,-241.8 1914.29,-237.4 1913.87,-245.07 1913.87,-245.07\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1382\" y=\"-108.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
|
"<title>8</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1050,-496.37C1050,-496.37 1033,-496.37 1033,-496.37 1027,-496.37 1021,-490.37 1021,-484.37 1021,-484.37 1021,-470.37 1021,-470.37 1021,-464.37 1027,-458.37 1033,-458.37 1033,-458.37 1050,-458.37 1050,-458.37 1056,-458.37 1062,-464.37 1062,-470.37 1062,-470.37 1062,-484.37 1062,-484.37 1062,-490.37 1056,-496.37 1050,-496.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1029\" y=\"-481.17\" font-family=\"Lato\" font-size=\"14.00\">6#7</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1033.5\" y=\"-466.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->8 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\">\n",
|
|
"<title>3->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M916.18,-679.26C922.89,-674.47 930.58,-669.39 938,-665.37 962.02,-652.35 976.82,-662.76 995,-642.37 1013.33,-621.81 1028.97,-544.51 1036.21,-503.42\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1037.42,-496.43 1039.33,-503.87 1036.82,-499.88 1036.22,-503.33 1036.22,-503.33 1036.22,-503.33 1036.82,-499.88 1033.12,-502.79 1037.42,-496.43 1037.42,-496.43\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"938\" y=\"-669.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->1 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>4->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M310.64,-748.37C288.22,-748.37 251.46,-748.37 225.2,-748.37\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"218.09,-748.37 225.09,-745.22 221.59,-748.37 225.09,-748.37 225.09,-748.37 225.09,-748.37 221.59,-748.37 225.09,-751.52 218.09,-748.37 218.09,-748.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"238\" y=\"-752.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->2 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>4->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M352.15,-740.32C385.54,-726.78 455.63,-698.89 516,-678.37 592.81,-652.26 685.07,-626.05 729.7,-613.69\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"736.7,-611.76 730.8,-616.66 733.33,-612.69 729.96,-613.62 729.96,-613.62 729.96,-613.62 733.33,-612.69 729.12,-610.59 736.7,-611.76 736.7,-611.76\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"518\" y=\"-682.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->3 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>4->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M343.63,-767.62C364.18,-800.35 411.4,-863.37 470.5,-863.37 470.5,-863.37 470.5,-863.37 758.5,-863.37 831.04,-863.37 871.41,-767.7 886.96,-720.32\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"889.16,-713.43 890.03,-721.05 888.09,-716.76 887.03,-720.09 887.03,-720.09 887.03,-720.09 888.09,-716.76 884.03,-719.14 889.16,-713.43 889.16,-713.43\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"593\" y=\"-867.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>9</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M480,-767.37C480,-767.37 463,-767.37 463,-767.37 457,-767.37 451,-761.37 451,-755.37 451,-755.37 451,-741.37 451,-741.37 451,-735.37 457,-729.37 463,-729.37 463,-729.37 480,-729.37 480,-729.37 486,-729.37 492,-735.37 492,-741.37 492,-741.37 492,-755.37 492,-755.37 492,-761.37 486,-767.37 480,-767.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"459\" y=\"-752.17\" font-family=\"Lato\" font-size=\"14.00\">7#1</text>\n",
|
|
"<text text-anchor=\"start\" x=\"463.5\" y=\"-737.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->9 -->\n",
|
|
"<g id=\"edge21\" class=\"edge\">\n",
|
|
"<title>4->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M352.27,-748.37C376.25,-748.37 416.78,-748.37 443.59,-748.37\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"450.76,-748.37 443.76,-751.52 447.26,-748.37 443.76,-748.37 443.76,-748.37 443.76,-748.37 447.26,-748.37 443.76,-745.22 450.76,-748.37 450.76,-748.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"370\" y=\"-752.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"edge22\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1610.86,-779.26C1583.44,-793.42 1531.73,-816.37 1484.5,-816.37 1261.5,-816.37 1261.5,-816.37 1261.5,-816.37 1050.54,-816.37 949.56,-854.15 800,-705.37 780.06,-685.53 769.2,-654.67 763.66,-632.68\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"761.97,-625.59 766.65,-631.67 762.78,-629 763.59,-632.4 763.59,-632.4 763.59,-632.4 762.78,-629 760.52,-633.13 761.97,-625.59 761.97,-625.59\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1163\" y=\"-822.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->3 -->\n",
|
|
"<g id=\"edge23\" class=\"edge\">\n",
|
|
"<title>5->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1610.66,-768.81C1582.58,-769.4 1529.62,-770.37 1484.5,-770.37 1040.5,-770.37 1040.5,-770.37 1040.5,-770.37 992.07,-770.37 979.28,-758.7 938,-733.37 931.29,-729.25 924.74,-723.92 918.9,-718.53\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"913.75,-713.6 920.98,-716.17 916.28,-716.02 918.8,-718.44 918.8,-718.44 918.8,-718.44 916.28,-716.02 916.62,-720.72 913.75,-713.6 913.75,-713.6\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1238\" y=\"-774.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g id=\"node12\" class=\"node\">\n",
|
|
"<title>10</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1786,-707.37C1786,-707.37 1769,-707.37 1769,-707.37 1763,-707.37 1757,-701.37 1757,-695.37 1757,-695.37 1757,-681.37 1757,-681.37 1757,-675.37 1763,-669.37 1769,-669.37 1769,-669.37 1786,-669.37 1786,-669.37 1792,-669.37 1798,-675.37 1798,-681.37 1798,-681.37 1798,-695.37 1798,-695.37 1798,-701.37 1792,-707.37 1786,-707.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1765\" y=\"-692.17\" font-family=\"Lato\" font-size=\"14.00\">5#5</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1769.5\" y=\"-677.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g id=\"edge24\" class=\"edge\">\n",
|
|
"<title>5->10</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1652.15,-752.29C1659.38,-746.82 1667.81,-740.93 1676,-736.37 1699.86,-723.06 1708.43,-725.31 1733,-713.37 1738.87,-710.51 1745.03,-707.19 1750.8,-703.92\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1756.89,-700.41 1752.4,-706.63 1753.86,-702.15 1750.82,-703.9 1750.82,-703.9 1750.82,-703.9 1753.86,-702.15 1749.25,-701.17 1756.89,-700.41 1756.89,-700.41\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1678\" y=\"-740.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g id=\"node13\" class=\"node\">\n",
|
|
"<title>11</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2506,-582.37C2506,-582.37 2489,-582.37 2489,-582.37 2483,-582.37 2477,-576.37 2477,-570.37 2477,-570.37 2477,-556.37 2477,-556.37 2477,-550.37 2483,-544.37 2489,-544.37 2489,-544.37 2506,-544.37 2506,-544.37 2512,-544.37 2518,-550.37 2518,-556.37 2518,-556.37 2518,-570.37 2518,-570.37 2518,-576.37 2512,-582.37 2506,-582.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2485\" y=\"-567.17\" font-family=\"Lato\" font-size=\"14.00\">8#5</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2489.5\" y=\"-552.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->11 -->\n",
|
|
"<g id=\"edge25\" class=\"edge\">\n",
|
|
"<title>5->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1652.06,-767.7C1679.76,-766.82 1731.99,-765.37 1776.5,-765.37 1776.5,-765.37 1776.5,-765.37 1995.5,-765.37 2202.58,-765.37 2298.49,-807.44 2451,-667.37 2473.49,-646.71 2485.43,-612.95 2491.34,-589.52\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2492.99,-582.61 2494.43,-590.15 2492.18,-586.01 2491.37,-589.42 2491.37,-589.42 2491.37,-589.42 2492.18,-586.01 2488.3,-588.69 2492.99,-582.61 2492.99,-582.61\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2039\" y=\"-771.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g id=\"edge26\" class=\"edge\">\n",
|
|
"<title>6->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1322.4,-437.4C1320.59,-446.9 1324.95,-455.37 1335.5,-455.37 1343.25,-455.37 1347.66,-450.8 1348.74,-444.61\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1348.6,-437.4 1351.88,-444.34 1348.67,-440.9 1348.73,-444.4 1348.73,-444.4 1348.73,-444.4 1348.67,-440.9 1345.58,-444.46 1348.6,-437.4 1348.6,-437.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1307\" y=\"-459.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g id=\"node14\" class=\"node\">\n",
|
|
"<title>12</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1492,-301.37C1492,-301.37 1475,-301.37 1475,-301.37 1469,-301.37 1463,-295.37 1463,-289.37 1463,-289.37 1463,-275.37 1463,-275.37 1463,-269.37 1469,-263.37 1475,-263.37 1475,-263.37 1492,-263.37 1492,-263.37 1498,-263.37 1504,-269.37 1504,-275.37 1504,-275.37 1504,-289.37 1504,-289.37 1504,-295.37 1498,-301.37 1492,-301.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1471\" y=\"-286.17\" font-family=\"Lato\" font-size=\"14.00\">2#0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1475.5\" y=\"-271.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->12 -->\n",
|
|
"<g id=\"edge27\" class=\"edge\">\n",
|
|
"<title>6->12</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1345.13,-399.36C1350.5,-387.01 1357.26,-370.45 1362,-355.37 1372.79,-321.01 1351.85,-298.82 1380,-276.37 1401.22,-259.44 1433.45,-264.77 1456.09,-271.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1462.79,-274.11 1455.15,-274.88 1459.47,-273 1456.15,-271.89 1456.15,-271.89 1456.15,-271.89 1459.47,-273 1457.15,-268.9 1462.79,-274.11 1462.79,-274.11\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1382\" y=\"-280.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g id=\"node15\" class=\"node\">\n",
|
|
"<title>13</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1492,-588.37C1492,-588.37 1475,-588.37 1475,-588.37 1469,-588.37 1463,-582.37 1463,-576.37 1463,-576.37 1463,-562.37 1463,-562.37 1463,-556.37 1469,-550.37 1475,-550.37 1475,-550.37 1492,-550.37 1492,-550.37 1498,-550.37 1504,-556.37 1504,-562.37 1504,-562.37 1504,-576.37 1504,-576.37 1504,-582.37 1498,-588.37 1492,-588.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1471\" y=\"-573.17\" font-family=\"Lato\" font-size=\"14.00\">3#0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1475.5\" y=\"-558.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->13 -->\n",
|
|
"<g id=\"edge28\" class=\"edge\">\n",
|
|
"<title>6->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1346.39,-437.65C1354.03,-450.91 1365.7,-468.1 1380,-479.37 1401.46,-496.28 1416.36,-484.47 1437,-502.37 1449.04,-512.8 1446.15,-520.12 1455,-533.37 1457.47,-537.06 1460.18,-540.87 1462.92,-544.57\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1467.2,-550.27 1460.47,-546.56 1465.09,-547.47 1462.99,-544.67 1462.99,-544.67 1462.99,-544.67 1465.09,-547.47 1465.51,-542.78 1467.2,-550.27 1467.2,-550.27\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1382\" y=\"-506.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->13 -->\n",
|
|
"<g id=\"edge29\" class=\"edge\">\n",
|
|
"<title>6->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1340.36,-437.63C1345.7,-459.63 1357.36,-495.41 1380,-517.37 1399.61,-536.39 1412.71,-527.86 1437,-540.37 1443.5,-543.71 1450.26,-547.71 1456.52,-551.65\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1462.59,-555.55 1455,-554.42 1459.64,-553.66 1456.7,-551.77 1456.7,-551.77 1456.7,-551.77 1459.64,-553.66 1458.4,-549.12 1462.59,-555.55 1462.59,-555.55\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1384\" y=\"-544.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->6 -->\n",
|
|
"<g id=\"edge30\" class=\"edge\">\n",
|
|
"<title>7->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1900.9,-273.25C1892.99,-276.53 1883.69,-280.02 1875,-282.37 1767.59,-311.35 1474.8,-299.14 1380,-357.37 1366.41,-365.72 1355.86,-380.06 1348.55,-392.75\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1345.03,-399.19 1345.62,-391.53 1346.71,-396.12 1348.39,-393.04 1348.39,-393.04 1348.39,-393.04 1346.71,-396.12 1351.15,-394.56 1345.03,-399.19 1345.03,-399.19\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1605\" y=\"-314.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->8 -->\n",
|
|
"<g id=\"edge33\" class=\"edge\">\n",
|
|
"<title>7->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1900.93,-246.94C1874.91,-225.63 1826.59,-192.37 1778.5,-192.37 1557.5,-192.37 1557.5,-192.37 1557.5,-192.37 1476.73,-192.37 1435.98,-173.15 1380,-231.37 1360.11,-252.05 1379.83,-270.89 1362,-293.37 1275.18,-402.81 1207.28,-374.65 1088,-447.37 1081.58,-451.28 1074.76,-455.66 1068.4,-459.83\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1062.24,-463.92 1066.34,-457.42 1065.16,-461.98 1068.07,-460.05 1068.07,-460.05 1068.07,-460.05 1065.16,-461.98 1069.81,-462.68 1062.24,-463.92 1062.24,-463.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1455\" y=\"-195.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g id=\"node16\" class=\"node\">\n",
|
|
"<title>14</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2080.5,-266.37C2080.5,-266.37 2054.5,-266.37 2054.5,-266.37 2048.5,-266.37 2042.5,-260.37 2042.5,-254.37 2042.5,-254.37 2042.5,-242.37 2042.5,-242.37 2042.5,-236.37 2048.5,-230.37 2054.5,-230.37 2054.5,-230.37 2080.5,-230.37 2080.5,-230.37 2086.5,-230.37 2092.5,-236.37 2092.5,-242.37 2092.5,-242.37 2092.5,-254.37 2092.5,-254.37 2092.5,-260.37 2086.5,-266.37 2080.5,-266.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2050.5\" y=\"-244.67\" font-family=\"Lato\" font-size=\"14.00\">3#12</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->14 -->\n",
|
|
"<g id=\"edge31\" class=\"edge\">\n",
|
|
"<title>7->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1942.22,-262.18C1966.12,-259.52 2006.69,-255.01 2034.96,-251.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2042.22,-251.07 2035.61,-254.97 2038.74,-251.45 2035.26,-251.84 2035.26,-251.84 2035.26,-251.84 2038.74,-251.45 2034.91,-248.71 2042.22,-251.07 2042.22,-251.07\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1968\" y=\"-263.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 15 -->\n",
|
|
"<g id=\"node17\" class=\"node\">\n",
|
|
"<title>15</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2228.5,-268.37C2228.5,-268.37 2202.5,-268.37 2202.5,-268.37 2196.5,-268.37 2190.5,-262.37 2190.5,-256.37 2190.5,-256.37 2190.5,-244.37 2190.5,-244.37 2190.5,-238.37 2196.5,-232.37 2202.5,-232.37 2202.5,-232.37 2228.5,-232.37 2228.5,-232.37 2234.5,-232.37 2240.5,-238.37 2240.5,-244.37 2240.5,-244.37 2240.5,-256.37 2240.5,-256.37 2240.5,-262.37 2234.5,-268.37 2228.5,-268.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2198.5\" y=\"-246.67\" font-family=\"Lato\" font-size=\"14.00\">5#13</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->15 -->\n",
|
|
"<g id=\"edge32\" class=\"edge\">\n",
|
|
"<title>7->15</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1942.21,-275.64C1974.33,-292.58 2039.99,-321.34 2096,-308.37 2127.82,-301 2160.96,-283.84 2184.07,-270.09\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"2190.32,-266.31 2185.96,-272.63 2187.32,-268.12 2184.33,-269.94 2184.33,-269.94 2184.33,-269.94 2187.32,-268.12 2182.7,-267.24 2190.32,-266.31 2190.32,-266.31\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2043\" y=\"-316.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->6 -->\n",
|
|
"<g id=\"edge34\" class=\"edge\">\n",
|
|
"<title>8->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1062.31,-470.79C1070.25,-468.29 1079.51,-465.52 1088,-463.37 1166.9,-443.39 1262.13,-428.58 1307.68,-422.05\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1314.81,-421.04 1308.33,-425.14 1311.35,-421.53 1307.88,-422.02 1307.88,-422.02 1307.88,-422.02 1311.35,-421.53 1307.44,-418.9 1314.81,-421.04 1314.81,-421.04\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1163\" y=\"-450.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->13 -->\n",
|
|
"<g id=\"edge36\" class=\"edge\">\n",
|
|
"<title>8->13</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1049.83,-496.63C1057.17,-513.62 1069.98,-538 1088,-553.37 1115.32,-576.66 1128.19,-574.57 1163,-583.37 1165.94,-584.11 1376.97,-608.19 1380,-608.37 1405.29,-609.82 1413.24,-617.16 1437,-608.37 1445.54,-605.21 1453.56,-599.65 1460.41,-593.71\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1465.88,-588.67 1462.87,-595.73 1463.31,-591.04 1460.73,-593.41 1460.73,-593.41 1460.73,-593.41 1463.31,-591.04 1458.6,-591.09 1465.88,-588.67 1465.88,-588.67\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1238\" y=\"-601.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16 -->\n",
|
|
"<g id=\"node18\" class=\"node\">\n",
|
|
"<title>16</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1202.5,-541.37C1202.5,-541.37 1176.5,-541.37 1176.5,-541.37 1170.5,-541.37 1164.5,-535.37 1164.5,-529.37 1164.5,-529.37 1164.5,-517.37 1164.5,-517.37 1164.5,-511.37 1170.5,-505.37 1176.5,-505.37 1176.5,-505.37 1202.5,-505.37 1202.5,-505.37 1208.5,-505.37 1214.5,-511.37 1214.5,-517.37 1214.5,-517.37 1214.5,-529.37 1214.5,-529.37 1214.5,-535.37 1208.5,-541.37 1202.5,-541.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1172.5\" y=\"-519.67\" font-family=\"Lato\" font-size=\"14.00\">3#14</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->16 -->\n",
|
|
"<g id=\"edge35\" class=\"edge\">\n",
|
|
"<title>8->16</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1054.3,-496.41C1062.3,-507.41 1073.95,-520.24 1088,-526.37 1109.76,-535.85 1136.75,-534.42 1157.28,-530.98\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1164.26,-529.7 1157.94,-534.07 1160.82,-530.33 1157.37,-530.97 1157.37,-530.97 1157.37,-530.97 1160.82,-530.33 1156.8,-527.87 1164.26,-529.7 1164.26,-529.7\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1090\" y=\"-538.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17 -->\n",
|
|
"<g id=\"node19\" class=\"node\">\n",
|
|
"<title>17</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2364,-334.37C2364,-334.37 2347,-334.37 2347,-334.37 2341,-334.37 2335,-328.37 2335,-322.37 2335,-322.37 2335,-308.37 2335,-308.37 2335,-302.37 2341,-296.37 2347,-296.37 2347,-296.37 2364,-296.37 2364,-296.37 2370,-296.37 2376,-302.37 2376,-308.37 2376,-308.37 2376,-322.37 2376,-322.37 2376,-328.37 2370,-334.37 2364,-334.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2343\" y=\"-319.17\" font-family=\"Lato\" font-size=\"14.00\">8#0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2347.5\" y=\"-304.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->17 -->\n",
|
|
"<g id=\"edge37\" class=\"edge\">\n",
|
|
"<title>8->17</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1045.31,-458.33C1050.34,-424.25 1061.17,-350.58 1070,-288.37 1074.1,-259.49 1068.62,-180.16 1088,-158.37 1110.28,-133.32 1347.16,-89.12 1380,-82.37 1510.34,-55.57 1543.31,-47.4 1676,-37.37 1963.18,-15.66 2113.67,71.59 2317,-132.37 2338.69,-154.12 2348.81,-243.9 2352.61,-289.11\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2353.19,-296.22 2349.48,-289.5 2352.91,-292.74 2352.62,-289.25 2352.62,-289.25 2352.62,-289.25 2352.91,-292.74 2355.76,-288.99 2353.19,-296.22 2353.19,-296.22\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1676\" y=\"-41.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->2 -->\n",
|
|
"<g id=\"edge38\" class=\"edge\">\n",
|
|
"<title>9->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M492.09,-733.02C499.32,-727.86 507.76,-722.4 516,-718.37 599.33,-677.58 637.78,-706.78 715,-655.37 724.5,-649.04 733.04,-639.94 739.87,-631.29\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"744.31,-625.42 742.6,-632.9 742.2,-628.21 740.09,-631 740.09,-631 740.09,-631 742.2,-628.21 737.57,-629.1 744.31,-625.42 744.31,-625.42\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"591\" y=\"-698.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->5 -->\n",
|
|
"<g id=\"edge39\" class=\"edge\">\n",
|
|
"<title>9->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M492.02,-758.64C515.03,-770.27 554.72,-788.81 591,-798.37 817.94,-858.14 880.82,-859.37 1115.5,-859.37 1115.5,-859.37 1115.5,-859.37 1484.5,-859.37 1534.25,-859.37 1546.32,-843.01 1587,-814.37 1595.45,-808.42 1603.56,-800.63 1610.44,-793.16\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1615.45,-787.55 1613.14,-794.87 1613.12,-790.16 1610.79,-792.77 1610.79,-792.77 1610.79,-792.77 1613.12,-790.16 1608.44,-790.67 1615.45,-787.55 1615.45,-787.55\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1017\" y=\"-862.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->9 -->\n",
|
|
"<g id=\"edge40\" class=\"edge\">\n",
|
|
"<title>9->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M458.4,-767.4C456.59,-776.9 460.95,-785.37 471.5,-785.37 479.25,-785.37 483.66,-780.8 484.74,-774.61\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"484.6,-767.4 487.88,-774.34 484.67,-770.9 484.73,-774.4 484.73,-774.4 484.73,-774.4 484.67,-770.9 481.58,-774.46 484.6,-767.4 484.6,-767.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"443\" y=\"-789.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 18 -->\n",
|
|
"<g id=\"node20\" class=\"node\">\n",
|
|
"<title>18</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M626,-756.37C626,-756.37 609,-756.37 609,-756.37 603,-756.37 597,-750.37 597,-744.37 597,-744.37 597,-732.37 597,-732.37 597,-726.37 603,-720.37 609,-720.37 609,-720.37 626,-720.37 626,-720.37 632,-720.37 638,-726.37 638,-732.37 638,-732.37 638,-744.37 638,-744.37 638,-750.37 632,-756.37 626,-756.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"605\" y=\"-734.67\" font-family=\"Lato\" font-size=\"14.00\">9#9</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->18 -->\n",
|
|
"<g id=\"edge41\" class=\"edge\">\n",
|
|
"<title>9->18</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M492.19,-748.53C512.49,-748.53 545.02,-748.02 573,-745.37 578.34,-744.86 584.02,-744.11 589.45,-743.28\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"596.65,-742.12 590.24,-746.34 593.19,-742.67 589.74,-743.23 589.74,-743.23 589.74,-743.23 593.19,-742.67 589.23,-740.12 596.65,-742.12 596.65,-742.12\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"518\" y=\"-751.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->6 -->\n",
|
|
"<g id=\"edge42\" class=\"edge\">\n",
|
|
"<title>10->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1756.79,-675.62C1723.44,-654.89 1653.05,-614.63 1587,-599.37 1529.83,-586.16 1511.96,-611.43 1455,-597.37 1418.72,-588.41 1404.09,-587.93 1380,-559.37 1352.02,-526.19 1342.02,-475.17 1338.46,-444.46\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1337.72,-437.48 1341.59,-444.11 1338.09,-440.96 1338.46,-444.44 1338.46,-444.44 1338.46,-444.44 1338.09,-440.96 1335.33,-444.77 1337.72,-437.48 1337.72,-437.48\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1532\" y=\"-603.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->7 -->\n",
|
|
"<g id=\"edge43\" class=\"edge\">\n",
|
|
"<title>10->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1794.77,-669.09C1816.71,-641.99 1855.31,-590.24 1875,-539.37 1908.65,-452.44 1917.42,-340.65 1919.7,-290.61\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1920,-283.4 1922.86,-290.53 1919.86,-286.9 1919.71,-290.4 1919.71,-290.4 1919.71,-290.4 1919.86,-286.9 1916.56,-290.27 1920,-283.4 1920,-283.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1824\" y=\"-634.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->11 -->\n",
|
|
"<g id=\"edge45\" class=\"edge\">\n",
|
|
"<title>10->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1798.14,-684.06C1825.45,-678.45 1876.48,-669.37 1920.5,-669.37 1920.5,-669.37 1920.5,-669.37 2356.5,-669.37 2400.43,-669.37 2416.49,-667.56 2451,-640.37 2467.65,-627.25 2479.48,-606.23 2486.89,-589.46\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2489.8,-582.57 2489.98,-590.25 2488.44,-585.8 2487.08,-589.02 2487.08,-589.02 2487.08,-589.02 2488.44,-585.8 2484.18,-587.8 2489.8,-582.57 2489.8,-582.57\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2114\" y=\"-673.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 19 -->\n",
|
|
"<g id=\"node21\" class=\"node\">\n",
|
|
"<title>19</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2657,-526.37C2657,-526.37 2631,-526.37 2631,-526.37 2625,-526.37 2619,-520.37 2619,-514.37 2619,-514.37 2619,-502.37 2619,-502.37 2619,-496.37 2625,-490.37 2631,-490.37 2631,-490.37 2657,-490.37 2657,-490.37 2663,-490.37 2669,-496.37 2669,-502.37 2669,-502.37 2669,-514.37 2669,-514.37 2669,-520.37 2663,-526.37 2657,-526.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2627\" y=\"-504.67\" font-family=\"Lato\" font-size=\"14.00\">5#11</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->19 -->\n",
|
|
"<g id=\"edge44\" class=\"edge\">\n",
|
|
"<title>10->19</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1798.42,-695.56C1825.63,-704.71 1876.09,-719.37 1920.5,-719.37 1920.5,-719.37 1920.5,-719.37 2498.5,-719.37 2587.52,-719.37 2625.73,-589.94 2638.12,-533.82\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2639.64,-526.72 2641.26,-534.23 2638.91,-530.15 2638.18,-533.57 2638.18,-533.57 2638.18,-533.57 2638.91,-530.15 2635.09,-532.91 2639.64,-526.72 2639.64,-526.72\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2189\" y=\"-723.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->6 -->\n",
|
|
"<g id=\"edge46\" class=\"edge\">\n",
|
|
"<title>11->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2476.56,-563.37C2449.41,-563.37 2399.28,-563.37 2356.5,-563.37 1847.5,-563.37 1847.5,-563.37 1847.5,-563.37 1836.43,-563.37 1465.2,-499.66 1455,-495.37 1445.91,-491.54 1445.46,-487.45 1437,-482.37 1412.81,-467.83 1403.7,-469.69 1380,-454.37 1373.83,-450.38 1367.54,-445.63 1361.73,-440.92\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1356.1,-436.25 1363.5,-438.3 1358.79,-438.49 1361.49,-440.72 1361.49,-440.72 1361.49,-440.72 1358.79,-438.49 1359.48,-443.15 1356.1,-436.25 1356.1,-436.25\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1895\" y=\"-567.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->11 -->\n",
|
|
"<g id=\"edge49\" class=\"edge\">\n",
|
|
"<title>11->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2484.03,-582.4C2482.17,-591.9 2486.66,-600.37 2497.5,-600.37 2505.46,-600.37 2510,-595.8 2511.11,-589.61\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2510.97,-582.4 2514.25,-589.34 2511.03,-585.9 2511.1,-589.4 2511.1,-589.4 2511.1,-589.4 2511.03,-585.9 2507.95,-589.46 2510.97,-582.4 2510.97,-582.4\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2469\" y=\"-604.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->19 -->\n",
|
|
"<g id=\"edge47\" class=\"edge\">\n",
|
|
"<title>11->19</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2518.23,-561.8C2539.51,-559.51 2573.98,-554.05 2601,-541.37 2606.92,-538.59 2612.76,-534.84 2618.12,-530.86\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2623.73,-526.49 2620.15,-533.28 2620.97,-528.65 2618.21,-530.8 2618.21,-530.8 2618.21,-530.8 2620.97,-528.65 2616.28,-528.31 2623.73,-526.49 2623.73,-526.49\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2546\" y=\"-562.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 20 -->\n",
|
|
"<g id=\"node22\" class=\"node\">\n",
|
|
"<title>20</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M2652.5,-260.37C2652.5,-260.37 2635.5,-260.37 2635.5,-260.37 2629.5,-260.37 2623.5,-254.37 2623.5,-248.37 2623.5,-248.37 2623.5,-234.37 2623.5,-234.37 2623.5,-228.37 2629.5,-222.37 2635.5,-222.37 2635.5,-222.37 2652.5,-222.37 2652.5,-222.37 2658.5,-222.37 2664.5,-228.37 2664.5,-234.37 2664.5,-234.37 2664.5,-248.37 2664.5,-248.37 2664.5,-254.37 2658.5,-260.37 2652.5,-260.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2631.5\" y=\"-245.17\" font-family=\"Lato\" font-size=\"14.00\">5#6</text>\n",
|
|
"<text text-anchor=\"start\" x=\"2636\" y=\"-230.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
|
"</g>\n",
|
|
"<!-- 11->20 -->\n",
|
|
"<g id=\"edge48\" class=\"edge\">\n",
|
|
"<title>11->20</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2507.11,-544.19C2531.9,-488.93 2603.52,-329.35 2631.55,-266.88\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2634.44,-260.44 2634.45,-268.12 2633.01,-263.64 2631.57,-266.83 2631.57,-266.83 2631.57,-266.83 2633.01,-263.64 2628.7,-265.54 2634.44,-260.44 2634.44,-260.44\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2548\" y=\"-463.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->2 -->\n",
|
|
"<g id=\"edge51\" class=\"edge\">\n",
|
|
"<title>12->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1462.81,-265.98C1426.09,-237.15 1343.61,-180.37 1263.5,-180.37 894.5,-180.37 894.5,-180.37 894.5,-180.37 835.57,-180.37 826.09,-220.53 800,-273.37 773.37,-327.3 762.7,-510.86 759.57,-579.86\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"759.26,-586.93 756.42,-579.8 759.41,-583.44 759.56,-579.94 759.56,-579.94 759.56,-579.94 759.41,-583.44 762.71,-580.08 759.26,-586.93 759.26,-586.93\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1090\" y=\"-184.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->3 -->\n",
|
|
"<g id=\"edge53\" class=\"edge\">\n",
|
|
"<title>12->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1462.77,-271C1455,-267.14 1445.84,-263.31 1437,-261.37 1412.26,-255.93 1405.31,-260.38 1380,-261.37 1252.53,-266.35 1124.49,-265.04 1088,-293.37 961.02,-391.92 913.89,-595.66 900.74,-668.1\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"899.5,-675.09 897.62,-667.65 900.11,-671.64 900.72,-668.19 900.72,-668.19 900.72,-668.19 900.11,-671.64 903.82,-668.74 899.5,-675.09 899.5,-675.09\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1165\" y=\"-276.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->6 -->\n",
|
|
"<g id=\"edge50\" class=\"edge\">\n",
|
|
"<title>12->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1462.73,-286.46C1436.53,-292.21 1392.2,-303.26 1380,-314.37 1378.44,-315.78 1359.34,-362.24 1346.98,-392.58\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1344.3,-399.16 1344.02,-391.49 1345.62,-395.92 1346.94,-392.67 1346.94,-392.67 1346.94,-392.67 1345.62,-395.92 1349.85,-393.86 1344.3,-399.16 1344.3,-399.16\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1380\" y=\"-318.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->7 -->\n",
|
|
"<g id=\"edge52\" class=\"edge\">\n",
|
|
"<title>12->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1504.08,-281.56C1574.23,-278.66 1813.07,-268.8 1893.68,-265.47\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1900.97,-265.17 1894.11,-268.61 1897.48,-265.32 1893.98,-265.46 1893.98,-265.46 1893.98,-265.46 1897.48,-265.32 1893.85,-262.31 1900.97,-265.17 1900.97,-265.17\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1678\" y=\"-279.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->2 -->\n",
|
|
"<g id=\"edge54\" class=\"edge\">\n",
|
|
"<title>13->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1462.83,-570.48C1441.29,-570.87 1406.32,-568.99 1380,-555.37 1338.95,-534.12 1336.56,-516.48 1309,-479.37 1299.5,-466.58 1302.33,-459.57 1291,-448.37 1228.01,-386.12 1206.06,-350.37 1117.5,-350.37 894.5,-350.37 894.5,-350.37 894.5,-350.37 791.28,-350.37 766.16,-514.68 760.25,-580.03\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"759.65,-587.13 757.1,-579.88 759.94,-583.64 760.24,-580.15 760.24,-580.15 760.24,-580.15 759.94,-583.64 763.38,-580.42 759.65,-587.13 759.65,-587.13\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1090\" y=\"-354.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->5 -->\n",
|
|
"<g id=\"edge56\" class=\"edge\">\n",
|
|
"<title>13->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1501.22,-588.54C1509.59,-597.83 1520.03,-608.97 1530,-618.37 1553.89,-640.89 1567.38,-639.04 1587,-665.37 1604.48,-688.82 1616.45,-720.35 1623.35,-742.33\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"1625.41,-749.1 1620.36,-743.32 1624.39,-745.75 1623.37,-742.4 1623.37,-742.4 1623.37,-742.4 1624.39,-745.75 1626.38,-741.49 1625.41,-749.1 1625.41,-749.1\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1534\" y=\"-669.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->7 -->\n",
|
|
"<g id=\"edge55\" class=\"edge\">\n",
|
|
"<title>13->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1504.17,-570.86C1567.94,-574.55 1770.82,-576.96 1875,-469.37 1899.48,-444.08 1912.92,-340.32 1918.04,-290.84\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1918.77,-283.67 1921.2,-290.95 1918.42,-287.15 1918.06,-290.64 1918.06,-290.64 1918.06,-290.64 1918.42,-287.15 1914.93,-290.32 1918.77,-283.67 1918.77,-283.67\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1678\" y=\"-565.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->8 -->\n",
|
|
"<g id=\"edge57\" class=\"edge\">\n",
|
|
"<title>13->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1462.62,-575.36C1441.8,-580.74 1408.25,-586.87 1380,-580.37 1309.69,-564.18 1295.92,-546.41 1234,-509.37 1225.53,-504.3 1225.21,-499.91 1216,-496.37 1166.76,-477.42 1104.24,-475.46 1069.28,-476.14\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1062.26,-476.32 1069.17,-472.99 1065.76,-476.23 1069.26,-476.14 1069.26,-476.14 1069.26,-476.14 1065.76,-476.23 1069.34,-479.29 1062.26,-476.32 1062.26,-476.32\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1234\" y=\"-549.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->6 -->\n",
|
|
"<g id=\"edge58\" class=\"edge\">\n",
|
|
"<title>14->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2042.92,-266.4C2036.14,-270.88 2028.53,-275.28 2021,-278.37 1991.24,-290.56 1981.67,-286.75 1950,-292.37 1886.87,-303.57 1438.44,-355.99 1380,-382.37 1373.3,-385.39 1366.79,-389.73 1360.94,-394.36\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1355.32,-399.05 1358.68,-392.15 1358.01,-396.81 1360.69,-394.56 1360.69,-394.56 1360.69,-394.56 1358.01,-396.81 1362.71,-396.98 1355.32,-399.05 1355.32,-399.05\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1678\" y=\"-334.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->8 -->\n",
|
|
"<g id=\"edge61\" class=\"edge\">\n",
|
|
"<title>14->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2044.8,-230.15C2008.29,-199.84 1937.13,-142.37 1922.5,-142.37 1482.5,-142.37 1482.5,-142.37 1482.5,-142.37 1346.8,-142.37 1340.21,-236.72 1216,-291.37 1161.8,-315.21 1130.19,-286.81 1088,-328.37 1070.52,-345.58 1054.97,-413.22 1047.39,-451.17\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1045.98,-458.34 1044.24,-450.87 1046.65,-454.91 1047.33,-451.48 1047.33,-451.48 1047.33,-451.48 1046.65,-454.91 1050.42,-452.08 1045.98,-458.34 1045.98,-458.34\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1530\" y=\"-146.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->14 -->\n",
|
|
"<g id=\"edge59\" class=\"edge\">\n",
|
|
"<title>14->14</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2054.47,-266.52C2052.47,-275.91 2056.81,-284.37 2067.5,-284.37 2075.35,-284.37 2079.77,-279.8 2080.78,-273.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2080.53,-266.52 2083.92,-273.4 2080.65,-270.02 2080.77,-273.52 2080.77,-273.52 2080.77,-273.52 2080.65,-270.02 2077.63,-273.63 2080.53,-266.52 2080.53,-266.52\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2041\" y=\"-288.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->15 -->\n",
|
|
"<g id=\"edge60\" class=\"edge\">\n",
|
|
"<title>14->15</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2092.61,-248.7C2117.34,-249.04 2155.91,-249.56 2183.03,-249.94\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2190.36,-250.04 2183.31,-253.09 2186.86,-249.99 2183.36,-249.94 2183.36,-249.94 2183.36,-249.94 2186.86,-249.99 2183.4,-246.79 2190.36,-250.04 2190.36,-250.04\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2118\" y=\"-254.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 15->6 -->\n",
|
|
"<g id=\"edge62\" class=\"edge\">\n",
|
|
"<title>15->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2204.02,-268.45C2196.27,-280.42 2184.7,-295.64 2171,-305.37 2142.24,-325.8 2130.43,-323.68 2096,-331.37 1783.68,-401.12 1695.03,-351.11 1380,-407.37 1374.5,-408.35 1368.67,-409.64 1363.12,-411\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1356.29,-412.73 1362.31,-407.96 1359.69,-411.87 1363.08,-411.01 1363.08,-411.01 1363.08,-411.01 1359.69,-411.87 1363.85,-414.06 1356.29,-412.73 1356.29,-412.73\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1751\" y=\"-378.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 15->7 -->\n",
|
|
"<g id=\"edge63\" class=\"edge\">\n",
|
|
"<title>15->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2190.42,-236.89C2156.66,-219.69 2093.28,-193.6 2039,-206.37 2005.63,-214.21 1970.89,-233.14 1948.13,-247.25\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1942.04,-251.09 1946.28,-244.69 1945,-249.22 1947.96,-247.35 1947.96,-247.35 1947.96,-247.35 1945,-249.22 1949.64,-250.02 1942.04,-251.09 1942.04,-251.09\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2043\" y=\"-210.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 15->15 -->\n",
|
|
"<g id=\"edge64\" class=\"edge\">\n",
|
|
"<title>15->15</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2202.47,-268.52C2200.47,-277.91 2204.81,-286.37 2215.5,-286.37 2223.35,-286.37 2227.77,-281.8 2228.78,-275.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2228.53,-268.52 2231.92,-275.4 2228.65,-272.02 2228.77,-275.52 2228.77,-275.52 2228.77,-275.52 2228.65,-272.02 2225.63,-275.63 2228.53,-268.52 2228.53,-268.52\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2189\" y=\"-290.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 15->17 -->\n",
|
|
"<g id=\"edge65\" class=\"edge\">\n",
|
|
"<title>15->17</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2240.54,-261.69C2265.06,-273.24 2303.02,-291.12 2328.3,-303.03\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2334.76,-306.07 2327.08,-305.93 2331.59,-304.58 2328.42,-303.08 2328.42,-303.08 2328.42,-303.08 2331.59,-304.58 2329.77,-300.23 2334.76,-306.07 2334.76,-306.07\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2260\" y=\"-300.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->6 -->\n",
|
|
"<g id=\"edge66\" class=\"edge\">\n",
|
|
"<title>16->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1214.6,-505.79C1240.8,-486.69 1282.49,-456.29 1309.17,-436.84\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1314.95,-432.62 1311.15,-439.29 1312.12,-434.69 1309.29,-436.75 1309.29,-436.75 1309.29,-436.75 1312.12,-434.69 1307.44,-434.2 1314.95,-432.62 1314.95,-432.62\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1236\" y=\"-494.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->8 -->\n",
|
|
"<g id=\"edge69\" class=\"edge\">\n",
|
|
"<title>16->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1164.21,-514.1C1157.98,-511.82 1151.27,-509.43 1145,-507.37 1119.48,-498.95 1090.01,-490.45 1069.24,-484.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1062.27,-482.73 1069.86,-481.56 1065.64,-483.66 1069.02,-484.6 1069.02,-484.6 1069.02,-484.6 1065.64,-483.66 1068.18,-487.63 1062.27,-482.73 1062.27,-482.73\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1088\" y=\"-511.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->16 -->\n",
|
|
"<g id=\"edge67\" class=\"edge\">\n",
|
|
"<title>16->16</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1176.47,-541.52C1174.47,-550.91 1178.81,-559.37 1189.5,-559.37 1197.35,-559.37 1201.77,-554.8 1202.78,-548.66\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1202.53,-541.52 1205.92,-548.4 1202.65,-545.02 1202.77,-548.52 1202.77,-548.52 1202.77,-548.52 1202.65,-545.02 1199.63,-548.63 1202.53,-541.52 1202.53,-541.52\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1163\" y=\"-563.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 21 -->\n",
|
|
"<g id=\"node23\" class=\"node\">\n",
|
|
"<title>21</title>\n",
|
|
"<path fill=\"#ffffaa\" stroke=\"black\" d=\"M1344,-688.37C1344,-688.37 1327,-688.37 1327,-688.37 1321,-688.37 1315,-682.37 1315,-676.37 1315,-676.37 1315,-662.37 1315,-662.37 1315,-656.37 1321,-650.37 1327,-650.37 1327,-650.37 1344,-650.37 1344,-650.37 1350,-650.37 1356,-656.37 1356,-662.37 1356,-662.37 1356,-676.37 1356,-676.37 1356,-682.37 1350,-688.37 1344,-688.37\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1323\" y=\"-673.17\" font-family=\"Lato\" font-size=\"14.00\">5#0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1327.5\" y=\"-658.17\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->21 -->\n",
|
|
"<g id=\"edge68\" class=\"edge\">\n",
|
|
"<title>16->21</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1194.63,-541.67C1200.22,-562.57 1212.11,-596.54 1234,-617.37 1253.79,-636.2 1266.84,-627.61 1291,-640.37 1296.89,-643.48 1302.99,-647.19 1308.68,-650.91\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1314.67,-654.91 1307.1,-653.64 1311.76,-652.96 1308.85,-651.02 1308.85,-651.02 1308.85,-651.02 1311.76,-652.96 1310.6,-648.4 1314.67,-654.91 1314.67,-654.91\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1238\" y=\"-644.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->6 -->\n",
|
|
"<g id=\"edge70\" class=\"edge\">\n",
|
|
"<title>17->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2334.75,-318.59C2276.16,-328.09 2098.18,-356.57 1950,-376.37 1885.25,-385.02 1869.09,-387.84 1804,-393.37 1636.78,-407.56 1435.18,-415.12 1363.44,-417.52\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1356.13,-417.76 1363.02,-414.38 1359.62,-417.64 1363.12,-417.53 1363.12,-417.53 1363.12,-417.53 1359.62,-417.64 1363.23,-420.67 1356.13,-417.76 1356.13,-417.76\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1822\" y=\"-396.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->11 -->\n",
|
|
"<g id=\"edge73\" class=\"edge\">\n",
|
|
"<title>17->11</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2367.25,-334.42C2392.19,-378.59 2453.99,-488.06 2482.13,-537.91\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2485.71,-544.25 2479.53,-539.71 2483.99,-541.21 2482.27,-538.16 2482.27,-538.16 2482.27,-538.16 2483.99,-541.21 2485.01,-536.61 2485.71,-544.25 2485.71,-544.25\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2394\" y=\"-480.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->19 -->\n",
|
|
"<g id=\"edge71\" class=\"edge\">\n",
|
|
"<title>17->19</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2376.1,-322.93C2432.6,-344.78 2592.32,-406.99 2601,-415.37 2620.16,-433.85 2631.3,-462.68 2637.23,-483.34\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2639.12,-490.28 2634.24,-484.35 2638.2,-486.9 2637.28,-483.52 2637.28,-483.52 2637.28,-483.52 2638.2,-486.9 2640.32,-482.7 2639.12,-490.28 2639.12,-490.28\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2471\" y=\"-386.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->20 -->\n",
|
|
"<g id=\"edge72\" class=\"edge\">\n",
|
|
"<title>17->20</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M2376.27,-316.05C2419.3,-316.79 2523.76,-314.37 2601,-278.37 2608.01,-275.1 2614.73,-270.28 2620.65,-265.2\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"2625.85,-260.49 2622.77,-267.53 2623.26,-262.84 2620.66,-265.19 2620.66,-265.19 2620.66,-265.19 2623.26,-262.84 2618.55,-262.85 2625.85,-260.49 2625.85,-260.49\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"2473\" y=\"-316.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 18->2 -->\n",
|
|
"<g id=\"edge74\" class=\"edge\">\n",
|
|
"<title>18->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M638.19,-730.64C665.55,-719.83 712.07,-701.21 715,-698.37 733.45,-680.47 744.39,-652.87 750.36,-632.57\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"752.27,-625.72 753.42,-633.31 751.33,-629.09 750.39,-632.46 750.39,-632.46 750.39,-632.46 751.33,-629.09 747.35,-631.62 752.27,-625.72 752.27,-625.72\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"662\" y=\"-724.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 18->3 -->\n",
|
|
"<g id=\"edge75\" class=\"edge\">\n",
|
|
"<title>18->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M638.17,-739.11C657.73,-739.57 688.55,-739.58 715,-736.37 777.4,-728.79 791.94,-720.31 853,-705.37 857.77,-704.2 862.83,-702.91 867.71,-701.63\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"874.7,-699.78 868.73,-704.62 871.31,-700.68 867.93,-701.57 867.93,-701.57 867.93,-701.57 871.31,-700.68 867.12,-698.53 874.7,-699.78 874.7,-699.78\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"733\" y=\"-737.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 18->9 -->\n",
|
|
"<g id=\"edge76\" class=\"edge\">\n",
|
|
"<title>18->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M596.81,-731.73C589.43,-729.56 580.92,-727.44 573,-726.37 547.9,-722.97 540.64,-720.49 516,-726.37 510.08,-727.78 504.06,-730.13 498.46,-732.79\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"492.1,-736 496.92,-730.03 495.22,-734.42 498.35,-732.84 498.35,-732.84 498.35,-732.84 495.22,-734.42 499.77,-735.65 492.1,-736 492.1,-736\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"516\" y=\"-730.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 18->18 -->\n",
|
|
"<g id=\"edge77\" class=\"edge\">\n",
|
|
"<title>18->18</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M604.84,-756.52C602.89,-765.91 607.11,-774.37 617.5,-774.37 625.13,-774.37 629.43,-769.8 630.41,-763.66\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"630.16,-756.52 633.55,-763.41 630.28,-760.02 630.41,-763.52 630.41,-763.52 630.41,-763.52 630.28,-760.02 627.26,-763.62 630.16,-756.52 630.16,-756.52\"/>\n",
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"<text text-anchor=\"start\" x=\"591\" y=\"-778.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 19->6 -->\n",
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"<g id=\"edge78\" class=\"edge\">\n",
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"<title>19->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2618.8,-504.04C2590.17,-499.3 2541.03,-492.37 2498.5,-492.37 2141.5,-492.37 2141.5,-492.37 2141.5,-492.37 1801.9,-492.37 1714.98,-485.18 1380,-429.37 1374.49,-428.45 1368.65,-427.18 1363.1,-425.83\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1356.28,-424.1 1363.84,-422.77 1359.67,-424.96 1363.06,-425.82 1363.06,-425.82 1363.06,-425.82 1359.67,-424.96 1362.29,-428.88 1356.28,-424.1 1356.28,-424.1\"/>\n",
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"<text text-anchor=\"start\" x=\"1968\" y=\"-496.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 19->7 -->\n",
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"<g id=\"edge79\" class=\"edge\">\n",
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"<title>19->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2636.37,-490.32C2629.81,-475.18 2618.24,-454.32 2601,-443.37 2522.63,-393.6 2485.28,-432.3 2394,-415.37 2234.58,-385.8 2195.95,-372.02 2039,-331.37 2007.26,-323.15 1996.15,-328.17 1968,-311.37 1958.33,-305.6 1949.33,-297.25 1941.93,-289.18\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1937.07,-283.68 1944.06,-286.84 1939.39,-286.31 1941.7,-288.93 1941.7,-288.93 1941.7,-288.93 1939.39,-286.31 1939.34,-291.01 1937.07,-283.68 1937.07,-283.68\"/>\n",
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"<text text-anchor=\"start\" x=\"2264\" y=\"-404.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
|
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"<!-- 19->11 -->\n",
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"<g id=\"edge81\" class=\"edge\">\n",
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"<title>19->11</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2618.68,-507.9C2597.92,-508.4 2567.75,-511.28 2544,-522.37 2535.25,-526.45 2526.98,-532.8 2519.95,-539.3\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"2514.83,-544.25 2517.67,-537.12 2517.34,-541.82 2519.86,-539.38 2519.86,-539.38 2519.86,-539.38 2517.34,-541.82 2522.05,-541.65 2514.83,-544.25 2514.83,-544.25\"/>\n",
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"<text text-anchor=\"start\" x=\"2544\" y=\"-526.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 19->19 -->\n",
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"<g id=\"edge80\" class=\"edge\">\n",
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"<title>19->19</title>\n",
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"<text text-anchor=\"start\" x=\"2617.5\" y=\"-548.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 20->6 -->\n",
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"<g id=\"edge82\" class=\"edge\">\n",
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"<title>20->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2638.03,-222.31C2632.19,-203.64 2620.71,-175.68 2601,-159.37 2483.8,-62.36 2411.97,-122.16 2260,-129.37 2161.45,-134.04 2137.21,-140.86 2039,-150.37 2007.44,-153.42 1999.41,-153.05 1968,-157.37 1951.57,-159.63 1392.11,-250.04 1380,-261.37 1355.6,-284.2 1370.86,-302.15 1362,-334.37 1356.63,-353.91 1349.95,-375.82 1344.78,-392.36\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1342.67,-399.1 1341.76,-391.48 1343.72,-395.76 1344.76,-392.42 1344.76,-392.42 1344.76,-392.42 1343.72,-395.76 1347.77,-393.37 1342.67,-399.1 1342.67,-399.1\"/>\n",
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"<text text-anchor=\"start\" x=\"1968\" y=\"-161.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 20->7 -->\n",
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"<g id=\"edge83\" class=\"edge\">\n",
|
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"<title>20->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2626.42,-222.28C2601.53,-195.86 2551.7,-151.37 2498.5,-151.37 2141.5,-151.37 2141.5,-151.37 2141.5,-151.37 2060.33,-151.37 2034.85,-162.34 1968,-208.37 1956.16,-216.52 1945.79,-228.61 1937.96,-239.48\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1933.87,-245.36 1935.28,-237.81 1935.87,-242.48 1937.87,-239.61 1937.87,-239.61 1937.87,-239.61 1935.87,-242.48 1940.45,-241.41 1933.87,-245.36 1933.87,-245.36\"/>\n",
|
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"<text text-anchor=\"start\" x=\"2264\" y=\"-155.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
|
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"<!-- 20->15 -->\n",
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"<g id=\"edge84\" class=\"edge\">\n",
|
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"<title>20->15</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2623.16,-241.79C2555.1,-243.22 2330.81,-247.95 2247.78,-249.71\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"2240.65,-249.86 2247.58,-246.56 2244.15,-249.78 2247.65,-249.71 2247.65,-249.71 2247.65,-249.71 2244.15,-249.78 2247.72,-252.86 2240.65,-249.86 2240.65,-249.86\"/>\n",
|
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"<text text-anchor=\"start\" x=\"2396\" y=\"-251.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 20->17 -->\n",
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"<g id=\"edge85\" class=\"edge\">\n",
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"<title>20->17</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2623.39,-246.03C2591.12,-253.75 2524.85,-269.77 2469,-284.37 2439.64,-292.04 2406.12,-301.35 2383.36,-307.75\"/>\n",
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"<text text-anchor=\"start\" x=\"2469\" y=\"-288.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 21->2 -->\n",
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"<g id=\"edge86\" class=\"edge\">\n",
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"<title>21->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1314.76,-667.21C1228.46,-657.77 884.34,-620.13 785.29,-609.3\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"778.33,-608.54 785.63,-606.17 781.81,-608.92 785.29,-609.3 785.29,-609.3 785.29,-609.3 781.81,-608.92 784.94,-612.43 778.33,-608.54 778.33,-608.54\"/>\n",
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"<text text-anchor=\"start\" x=\"1015\" y=\"-643.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 21->3 -->\n",
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"<g id=\"edge87\" class=\"edge\">\n",
|
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"<title>21->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1314.75,-675.3C1307.37,-677.27 1298.87,-679.25 1291,-680.37 1154.09,-699.88 987.89,-697.33 923.65,-695.37\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"916.33,-695.14 923.43,-692.22 919.83,-695.25 923.33,-695.36 923.33,-695.36 923.33,-695.36 919.83,-695.25 923.23,-698.51 916.33,-695.14 916.33,-695.14\"/>\n",
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"<text text-anchor=\"start\" x=\"1092\" y=\"-699.17\" font-family=\"Lato\" font-size=\"14.00\">p0 & p1</text>\n",
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"</g>\n",
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"<!-- 21->10 -->\n",
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"<g id=\"edge88\" class=\"edge\">\n",
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"<title>21->10</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1356.24,-675.37C1363.62,-677.34 1372.13,-679.31 1380,-680.37 1518.02,-698.96 1685.48,-693.17 1749.68,-689.91\"/>\n",
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"<text text-anchor=\"start\" x=\"1532\" y=\"-696.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 21->11 -->\n",
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"<g id=\"edge89\" class=\"edge\">\n",
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"<title>21->11</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1356.17,-666.06C1417.9,-656 1613.4,-626.37 1776.5,-626.37 1776.5,-626.37 1776.5,-626.37 2356.5,-626.37 2399.62,-626.37 2444.14,-601.21 2471.08,-582.69\"/>\n",
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"<text text-anchor=\"start\" x=\"1893\" y=\"-630.17\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c3f3810> >"
|
|
]
|
|
},
|
|
"execution_count": 43,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"s3 = spot.acd_transform_sbacc(a3);\n",
|
|
"assert s3.equivalent_to(a3)\n",
|
|
"s3.copy_state_names_from(a3)\n",
|
|
"s3"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "5b770f23",
|
|
"metadata": {},
|
|
"source": [
|
|
"In this case, the number of states we obtain with `acd_transform_sbacc()` is smaller than what we would obtain by calling `sbacc()` on the result of `acd_transform()`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 44,
|
|
"id": "b57476cf",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"22 28\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(s3.num_states(), \n",
|
|
" spot.sbacc(spot.acd_transform(a3)).num_states())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "15f094c0",
|
|
"metadata": {},
|
|
"source": [
|
|
"# More examples\n",
|
|
"\n",
|
|
"These additional examples also contribute to our test suite."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 45,
|
|
"id": "criminal-northwest",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
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|
"data": {
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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" -->\n",
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"<svg width=\"356pt\" height=\"233pt\"\n",
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" viewBox=\"0.00 0.00 356.00 233.30\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"start\" x=\"35\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"<text text-anchor=\"start\" x=\"51\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\">) & (Fin(</text>\n",
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"<text text-anchor=\"start\" x=\"99\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"<text text-anchor=\"start\" x=\"211\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"227\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\">)&Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"261\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"<text text-anchor=\"start\" x=\"277\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\">))) | Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"336\" y=\"-211.1\" font-family=\"Lato\" font-size=\"14.00\">)</text>\n",
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"<!-- I -->\n",
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"<title>0</title>\n",
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"<text text-anchor=\"middle\" x=\"120.75\" y=\"-40.6\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->0</title>\n",
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|
"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<text text-anchor=\"start\" x=\"94.25\" y=\"-98.1\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"<text text-anchor=\"start\" x=\"104.75\" y=\"-84.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"<text text-anchor=\"start\" x=\"120.75\" y=\"-84.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
|
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M115.69,-61.9C112.31,-82.43 114,-108.3 120.75,-108.3 126.74,-108.3 128.74,-87.96 126.76,-69.03\"/>\n",
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"<text text-anchor=\"start\" x=\"92.25\" y=\"-126.1\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"96.75\" y=\"-112.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"112.75\" y=\"-112.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"128.75\" y=\"-112.1\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>1</title>\n",
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"<text text-anchor=\"middle\" x=\"256.75\" y=\"-40.6\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<text text-anchor=\"start\" x=\"162.25\" y=\"-84.1\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"</svg>\n"
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]
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},
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"execution_count": 45,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"c = spot.automaton(\"\"\"\n",
|
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"HOA: v1\n",
|
|
"States: 2\n",
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|
"Start: 0\n",
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"AP: 2 \"p1\" \"p0\"\n",
|
|
"Acceptance: 5 (Fin(0) & (Fin(3)|Fin(4)) & (Inf(1)&Inf(2))) | Inf(3)\n",
|
|
"properties: trans-labels explicit-labels trans-acc complete\n",
|
|
"properties: deterministic stutter-invariant\n",
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"--BODY--\n",
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"State: 0\n",
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"[0&!1] 0 {2 3}\n",
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"[!0&!1] 0 {2 3 4}\n",
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"[!0&1] 1\n",
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"[0&1] 1 {2 4}\n",
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"State: 1\n",
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"[!0&!1] 0 {0 2 3 4}\n",
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"[!0&1] 1 {1}\n",
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"[0&!1] 1 {2 3}\n",
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"[0&1] 1 {1 2 4}\n",
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"--END--\n",
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"\"\"\"); c"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 46,
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"id": "63c7c062",
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"metadata": {},
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"outputs": [
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{
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"text/plain": [
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]
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},
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"execution_count": 46,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
|
"spot.zielonka_tree(c.acc())"
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]
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},
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{
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"cell_type": "code",
|
|
"execution_count": 47,
|
|
"id": "balanced-investing",
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"metadata": {},
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"outputs": [
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{
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"</g>\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->0</title>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"<!-- 1->2 -->\n",
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"</g>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g id=\"edge13\" class=\"edge\">\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
|
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"<g id=\"edge11\" class=\"edge\">\n",
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"<title>2->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M320.63,-85.95C317.25,-96.58 320.71,-107.16 331,-107.16 338.88,-107.16 342.75,-100.96 342.62,-93.28\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"304.5\" y=\"-125.96\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"323\" y=\"-110.96\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
|
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],
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c18e030> >"
|
|
]
|
|
},
|
|
"execution_count": 47,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"d = spot.zielonka_tree_transform(c); d"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 48,
|
|
"id": "nutritional-rugby",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"assert c.equivalent_to(d)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 49,
|
|
"id": "criminal-marking",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
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"data": {
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" viewBox=\"0.00 0.00 146.59 283.38\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 279.38)\">\n",
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"<title>acd</title>\n",
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"<text text-anchor=\"middle\" x=\"69.3\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,4}</text>\n",
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"<text text-anchor=\"middle\" x=\"69.3\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{1}</text>\n",
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"</g>\n",
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"<title>0->1</title>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/html": [
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"<style>\n",
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".acdhigh ellipse,.acdacc ellipse,.acdacc path,.acdacc polygon{stroke:green;}\n",
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".acdhigh polygon,.acdrej ellipse,.acdrej path,.acdrej polygon{stroke:red;}\n",
|
|
".acdbold ellipse,.acdbold polygon,.acdbold path{stroke-width:2;}\n",
|
|
".acdrej polygon{fill:red;}\n",
|
|
".acdacc polygon{fill:green;}\n",
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"</style><div><?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" viewBox=\"0.00 0.00 356.00 233.30\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"middle\" x=\"120.75\" y=\"-40.6\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
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|
"</g>\n",
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"</a>\n",
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"</g>\n",
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"<title>0->0</title>\n",
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"</a>\n",
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"</g>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<title>1</title>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n",
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"</div><div><?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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" -->\n",
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" viewBox=\"0.00 0.00 146.59 283.38\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"acd2\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 279.38)\">\n",
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" acdS1\n",
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"\">\n",
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"<title>0</title>\n",
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"<text text-anchor=\"middle\" x=\"69.3\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3,4}</text>\n",
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"\">\n",
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"<text text-anchor=\"middle\" x=\"69.3\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 1</text>\n",
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"<g id=\"acd2_edge1\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M69.3,-118.61C69.3,-110.25 69.3,-101.69 69.3,-93.47\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n",
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"</div><script>\n",
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"function acd2_clear(){\n",
|
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" $(\"#acd2 .node,#acdaut2 .node,#acdaut2 .edge\")\n",
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" .removeClass(\"acdhigh acdbold acdacc acdrej\");\n",
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"};\n",
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"function acd2_state(state){\n",
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" acd2_clear();\n",
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" $(\"#acd2 .acdS\" + state).addClass(\"acdhigh acdbold\");\n",
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" $(\"#acdaut2 #S\" + state).addClass(\"acdbold\");\n",
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"};\n",
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"function acd2_edge(edge){\n",
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" acd2_clear();\n",
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" var theedge = $('#acdaut2 #E' + edge)\n",
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" var classList = theedge.attr('class').split(/\\s+/);\n",
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" $.each(classList, function(index, item) {\n",
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" if (item.startsWith('acdN')) {\n",
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" $(\"#acd2 #\" + item.substring(3)).addClass(\"acdhigh acdbold\");\n",
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" }\n",
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" });\n",
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" theedge.addClass(\"acdbold\");\n",
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"};\n",
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" acd2_clear();\n",
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" $(\"#acdaut2 .acdN\" + node).addClass(acc\n",
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" ? \"acdacc acdbold\"\n",
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" : \"acdrej acdbold\");\n",
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" $(\"#acd2 #N\" + node).addClass(\"acdbold acdhigh\");\n",
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"};$(\"#acdaut2 #E1\").addClass(\"acdN0\");$(\"#acdaut2 #E2\").addClass(\"acdN0\");$(\"#acdaut2 #E3\").addClass(\"acdN0\");$(\"#acdaut2 #E4\").addClass(\"acdN0\");$(\"#acdaut2 #E5\").addClass(\"acdN0\");$(\"#acdaut2 #E6\").addClass(\"acdN0\");$(\"#acdaut2 #E7\").addClass(\"acdN0\");$(\"#acdaut2 #E8\").addClass(\"acdN0\");$(\"#acdaut2 #E6\").addClass(\"acdN1\");$(\"#acdaut2 #E1\").click(function(){acd2_edge(1);});$(\"#acdaut2 #E2\").click(function(){acd2_edge(2);});$(\"#acdaut2 #E3\").click(function(){acd2_edge(3);});$(\"#acdaut2 #E4\").click(function(){acd2_edge(4);});$(\"#acdaut2 #E5\").click(function(){acd2_edge(5);});$(\"#acdaut2 #E6\").click(function(){acd2_edge(6);});$(\"#acdaut2 #E7\").click(function(){acd2_edge(7);});$(\"#acdaut2 #E8\").click(function(){acd2_edge(8);});$(\"#acdaut2 #S0\").click(function(){acd2_state(0);});$(\"#acdaut2 #S1\").click(function(){acd2_state(1);});$(\"#acd2 #N0\").click(function(){acd2_node(0, 1);});$(\"#acd2 #N1\").click(function(){acd2_node(1, 0);});</script>"
|
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],
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"text/plain": [
|
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"<spot.acd; proxy of <Swig Object of type 'spot::acd *' at 0x7f296c18e3c0> >"
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]
|
|
},
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|
"execution_count": 49,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"cacd = spot.acd(c); cacd"
|
|
]
|
|
},
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|
{
|
|
"cell_type": "code",
|
|
"execution_count": 50,
|
|
"id": "e7760d51",
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|
"metadata": {},
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|
"outputs": [
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{
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"data": {
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"text/plain": [
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"0"
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]
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},
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"metadata": {},
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|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"cacd.state_step(1, 7)"
|
|
]
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|
},
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{
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|
"cell_type": "code",
|
|
"execution_count": 51,
|
|
"id": "unusual-dependence",
|
|
"metadata": {
|
|
"scrolled": true
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|
},
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"outputs": [
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{
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"data": {
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"</g>\n",
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"</svg>\n"
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],
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c193240> >"
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]
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},
|
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"execution_count": 51,
|
|
"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
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"d = spot.acd_transform(c); d"
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]
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},
|
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{
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|
"cell_type": "code",
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"execution_count": 52,
|
|
"id": "d5440de1",
|
|
"metadata": {},
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"outputs": [
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{
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"data": {
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"<!-- 2->2 -->\n",
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"<!-- 2->2 -->\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c1934b0> >"
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]
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},
|
|
"execution_count": 52,
|
|
"metadata": {},
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"output_type": "execute_result"
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}
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],
|
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"source": [
|
|
"e = spot.acd_transform_sbacc(c); e"
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]
|
|
},
|
|
{
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|
"cell_type": "code",
|
|
"execution_count": 53,
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|
"id": "9ed0bc59",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"assert c.equivalent_to(d)\n",
|
|
"assert c.equivalent_to(e)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
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|
"id": "36629c32",
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|
"metadata": {},
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"source": [
|
|
"Paritizing a generalized-Büchi automaton with `acd_transform()` produces a Büchi automaton.\n",
|
|
"The Zielonka-tree transformation produces a larger automaton because it ignores the transition structure, and also it uses an extra and unnecessary color (because it was not taught how to omit it)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 54,
|
|
"id": "deb92971",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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" acdS3\n",
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"\">\n",
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"<title>0</title>\n",
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"<text text-anchor=\"middle\" x=\"75.5\" y=\"-173.99\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2,3}</text>\n",
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"<text text-anchor=\"middle\" x=\"75.5\" y=\"-143.99\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 0</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"N1\" class=\"node acdS0\n",
|
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" acdS1\n",
|
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" acdS2\n",
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"\">\n",
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"<text text-anchor=\"middle\" x=\"35.5\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{0,1,2}</text>\n",
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"</g>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"53.82,-91.72 47.61,-83.14 47.12,-93.72 53.82,-91.72\"/>\n",
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"</g>\n",
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"\">\n",
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"<title>2</title>\n",
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"<polygon fill=\"white\" stroke=\"black\" points=\"143.5,-83 89.5,-83 89.5,0 143.5,0 143.5,-83\"/>\n",
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"<text text-anchor=\"middle\" x=\"116.5\" y=\"-52.8\" font-family=\"Times,serif\" font-size=\"14.00\">{0}</text>\n",
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"<text text-anchor=\"middle\" x=\"116.5\" y=\"-37.8\" font-family=\"Times,serif\" font-size=\"14.00\">Q: 3</text>\n",
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"<text text-anchor=\"middle\" x=\"116.5\" y=\"-22.8\" font-family=\"Times,serif\" font-size=\"14.00\">lvl: 1</text>\n",
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"<text text-anchor=\"middle\" x=\"116.5\" y=\"-7.8\" font-family=\"Times,serif\" font-size=\"14.00\"><2></text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"acd3_edge2\" class=\"edge\">\n",
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"<title>0->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M92.41,-121.33C95.26,-112 98.21,-102.36 101.02,-93.16\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n",
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"</div><script>\n",
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"function acd3_clear(){\n",
|
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" $(\"#acd3 .node,#acdaut3 .node,#acdaut3 .edge\")\n",
|
|
" .removeClass(\"acdhigh acdbold acdacc acdrej\");\n",
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|
"};\n",
|
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"function acd3_state(state){\n",
|
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" acd3_clear();\n",
|
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" $(\"#acd3 .acdS\" + state).addClass(\"acdhigh acdbold\");\n",
|
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" $(\"#acdaut3 #S\" + state).addClass(\"acdbold\");\n",
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"};\n",
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"function acd3_edge(edge){\n",
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" acd3_clear();\n",
|
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" var theedge = $('#acdaut3 #E' + edge)\n",
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" var classList = theedge.attr('class').split(/\\s+/);\n",
|
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" $.each(classList, function(index, item) {\n",
|
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" if (item.startsWith('acdN')) {\n",
|
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" $(\"#acd3 #\" + item.substring(3)).addClass(\"acdhigh acdbold\");\n",
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" }\n",
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" });\n",
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" theedge.addClass(\"acdbold\");\n",
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"};\n",
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"function acd3_node(node, acc){\n",
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" acd3_clear();\n",
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" $(\"#acdaut3 .acdN\" + node).addClass(acc\n",
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" ? \"acdacc acdbold\"\n",
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" : \"acdrej acdbold\");\n",
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" $(\"#acd3 #N\" + node).addClass(\"acdbold acdhigh\");\n",
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"};$(\"#acdaut3 #E1\").addClass(\"acdN0\");$(\"#acdaut3 #E2\").addClass(\"acdN0\");$(\"#acdaut3 #E3\").addClass(\"acdN0\");$(\"#acdaut3 #E4\").addClass(\"acdN0\");$(\"#acdaut3 #E5\").addClass(\"acdN0\");$(\"#acdaut3 #E6\").addClass(\"acdN0\");$(\"#acdaut3 #E7\").addClass(\"acdN0\");$(\"#acdaut3 #E1\").addClass(\"acdN1\");$(\"#acdaut3 #E3\").addClass(\"acdN1\");$(\"#acdaut3 #E4\").addClass(\"acdN1\");$(\"#acdaut3 #E5\").addClass(\"acdN1\");$(\"#acdaut3 #E7\").addClass(\"acdN2\");$(\"#acdaut3 #E1\").click(function(){acd3_edge(1);});$(\"#acdaut3 #E2\").click(function(){acd3_edge(2);});$(\"#acdaut3 #E3\").click(function(){acd3_edge(3);});$(\"#acdaut3 #E4\").click(function(){acd3_edge(4);});$(\"#acdaut3 #E5\").click(function(){acd3_edge(5);});$(\"#acdaut3 #E6\").click(function(){acd3_edge(6);});$(\"#acdaut3 #E7\").click(function(){acd3_edge(7);});$(\"#acdaut3 #S0\").click(function(){acd3_state(0);});$(\"#acdaut3 #S1\").click(function(){acd3_state(1);});$(\"#acdaut3 #S2\").click(function(){acd3_state(2);});$(\"#acdaut3 #S3\").click(function(){acd3_state(3);});$(\"#acd3 #N0\").click(function(){acd3_node(0, 1);});$(\"#acd3 #N1\").click(function(){acd3_node(1, 0);});$(\"#acd3 #N2\").click(function(){acd3_node(2, 0);});</script>"
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],
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"text/plain": [
|
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"<spot.acd; proxy of <Swig Object of type 'spot::acd *' at 0x7f296c193f60> >"
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]
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},
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"execution_count": 54,
|
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"metadata": {},
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"output_type": "execute_result"
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}
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],
|
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"source": [
|
|
"g = spot.automaton(\"\"\"HOA: v1 States: 4 Start: 0 AP: 2 \"p0\" \"p1\"\n",
|
|
"acc-name: generalized-Buchi 4 Acceptance: 4\n",
|
|
"Inf(0)&Inf(1)&Inf(2)&Inf(3) properties: trans-labels explicit-labels\n",
|
|
"trans-acc --BODY-- State: 0 [!0&1] 2 {0 1 2} [!0&!1] 3 {0 1 2 3}\n",
|
|
"State: 1 [!0&1] 0 {0 1 2} [!0&!1] 2 {0} State: 2 [!0&1] 1 {0} State: 3\n",
|
|
"[!0&!1] 2 {0 1 2 3} [0&!1] 3 {0} --END--\"\"\")\n",
|
|
"\n",
|
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"spot.acd(g)"
|
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]
|
|
},
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{
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"cell_type": "code",
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"execution_count": 55,
|
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"id": "94a02201",
|
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"metadata": {},
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|
"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"</g>\n",
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"<!-- I->0 -->\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<text text-anchor=\"start\" x=\"167\" y=\"-110.54\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 2 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<title>2</title>\n",
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"<text text-anchor=\"middle\" x=\"193.5\" y=\"-37.04\" font-family=\"Lato\" font-size=\"14.00\">2</text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M74.16,-40.74C97.99,-40.74 141.2,-40.74 168.29,-40.74\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"175.48,-40.74 168.48,-43.89 171.98,-40.74 168.48,-40.74 168.48,-40.74 168.48,-40.74 171.98,-40.74 168.48,-37.59 175.48,-40.74 175.48,-40.74\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-59.54\" font-family=\"Lato\" font-size=\"14.00\">!p0 & !p1</text>\n",
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"<text text-anchor=\"start\" x=\"112.5\" y=\"-44.54\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g id=\"node5\" class=\"node\">\n",
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"<title>3</title>\n",
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"<text text-anchor=\"middle\" x=\"460\" y=\"-24.04\" font-family=\"Lato\" font-size=\"14.00\">3</text>\n",
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"</g>\n",
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"<!-- 1->3 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>1->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M349.27,-58.07C367.99,-55.96 398.6,-51.61 424,-43.74 428.36,-42.39 432.88,-40.62 437.16,-38.75\"/>\n",
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"<text text-anchor=\"start\" x=\"369\" y=\"-58.54\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>2->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M211.39,-43.1C235.12,-46.43 278.48,-52.51 305.69,-56.33\"/>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
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"<title>2->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M181.74,-54.78C177.35,-65.65 181.27,-76.74 193.5,-76.74 203.06,-76.74 207.54,-69.97 206.95,-61.82\"/>\n",
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"<text text-anchor=\"start\" x=\"167\" y=\"-80.54\" font-family=\"Lato\" font-size=\"14.00\">p0 & !p1</text>\n",
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"</g>\n",
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"<!-- 3->0 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
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"<title>3->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M443.36,-20C437.44,-17.48 430.55,-15 424,-13.74 311.84,7.86 280.4,-0.02 167,-13.74 136.53,-17.42 102.31,-26.65 80.26,-33.29\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"240\" y=\"-9.54\" font-family=\"Lato\" font-size=\"14.00\">!p0 & p1</text>\n",
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"</g>\n",
|
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"<!-- 3->1 -->\n",
|
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"<g id=\"edge8\" class=\"edge\">\n",
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"<title>3->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M442.31,-23.2C423.29,-18.91 391.66,-14.52 367,-24.74 359.22,-27.96 352.27,-33.84 346.65,-39.88\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c193b70> >"
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]
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},
|
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"execution_count": 55,
|
|
"metadata": {},
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"output_type": "execute_result"
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}
|
|
],
|
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"source": [
|
|
"spot.acd_transform(g)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 56,
|
|
"id": "d484ba8f",
|
|
"metadata": {},
|
|
"outputs": [
|
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{
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"data": {
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"image/svg+xml": [
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"<!-- I -->\n",
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"<!-- 0 -->\n",
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"text/plain": [
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},
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"metadata": {},
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}
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],
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"source": [
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"spot.acd_transform_sbacc(g)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 57,
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"id": "3332e850",
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"metadata": {},
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"outputs": [
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"source": [
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"An issue in Spot is to always ensure that property bits of automata (cleaming that an automaton is weak, inherently weak, deterministic, etc.) are properly preserved or reset.\n",
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"\n",
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"Here if the input is inherently weak, the output should be weak. "
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]
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"<text text-anchor=\"start\" x=\"92\" y=\"-35.43\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-5.43\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c198cf0> >"
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]
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},
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"execution_count": 58,
|
|
"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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|
"w = spot.automaton(\"\"\"HOA: v1\n",
|
|
"States: 2\n",
|
|
"Start: 1\n",
|
|
"AP: 1 \"a\"\n",
|
|
"Acceptance: 2 Inf(0) | Inf(1)\n",
|
|
"properties: trans-labels explicit-labels trans-acc colored complete\n",
|
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"properties: deterministic inherently-weak\n",
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"--BODY--\n",
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"State: 0\n",
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|
"[t] 1 {0}\n",
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"State: 1\n",
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"[0] 0 {1}\n",
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"[!0] 1 {0}\n",
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"--END--\"\"\"); w"
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]
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},
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{
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|
"cell_type": "code",
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|
"execution_count": 59,
|
|
"id": "chemical-primary",
|
|
"metadata": {},
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"outputs": [
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{
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|
"data": {
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"text/plain": [
|
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"(spot.trival_maybe(), spot.trival(True))"
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]
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},
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"execution_count": 59,
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|
"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
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"w.prop_weak(), w.prop_inherently_weak()"
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]
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},
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{
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"cell_type": "code",
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|
"execution_count": 60,
|
|
"id": "hispanic-floor",
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|
"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!-- Generated by graphviz version 2.43.0 (0)\n",
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" -->\n",
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"<!-- Pages: 1 -->\n",
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"<svg width=\"163pt\" height=\"117pt\"\n",
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" viewBox=\"0.00 0.00 163.00 117.35\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 113.35)\">\n",
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"<text text-anchor=\"start\" x=\"66.5\" y=\"-79.15\" font-family=\"Lato\" font-size=\"14.00\">[all]</text>\n",
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"<!-- 0 -->\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-20.35C2.79,-20.35 17.15,-20.35 30.63,-20.35\"/>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M49.62,-37.39C48.32,-47.21 50.45,-56.35 56,-56.35 60.17,-56.35 62.4,-51.21 62.71,-44.49\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"62.38,-37.39 65.85,-44.23 62.54,-40.89 62.71,-44.38 62.71,-44.38 62.71,-44.38 62.54,-40.89 59.56,-44.53 62.38,-37.39 62.38,-37.39\"/>\n",
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"<text text-anchor=\"start\" x=\"50.5\" y=\"-60.15\" font-family=\"Lato\" font-size=\"14.00\">!a</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>1</title>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M74.14,-20.35C85.12,-20.35 99.52,-20.35 111.67,-20.35\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"118.89,-20.35 111.89,-23.5 115.39,-20.35 111.89,-20.35 111.89,-20.35 111.89,-20.35 115.39,-20.35 111.89,-17.2 118.89,-20.35 118.89,-20.35\"/>\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>1->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M122.52,-9.39C114.01,-3.78 102.65,1.35 92,-1.35 87.14,-2.59 82.22,-4.65 77.67,-6.97\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f296c19e120> >"
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]
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},
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"execution_count": 60,
|
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
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"w2 = spot.acd_transform(w); w2"
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]
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},
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{
|
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"cell_type": "code",
|
|
"execution_count": 61,
|
|
"id": "central-london",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
|
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"(spot.trival(True), spot.trival(True))"
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]
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},
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"execution_count": 61,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
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"w2.prop_weak(), w2.prop_inherently_weak()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "d25733d5",
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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}
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