PyURDME_Example_cylinderDemo.ipynb

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   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Cylinder Annihilation Demo"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this demo, we use the constructive solid geometry method to create a spatial domain in the shape of a cylinder. The cylinder has it's long dimension (x-axis) from -5 to 5, the circular dimension has diamater of 1."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from matplotlib import pyplot as plt\n",
      "from IPython.display import clear_output\n",
      "import pyurdme\n",
      "import dolfin"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# These classes are used to define the subdomains\n",
      "# Boundary condition constants\n",
      "MAX_X_DIM = 5.0\n",
      "MIN_X_DIM = -5.0\n",
      "TOL = 1e-9\n",
      "\n",
      "class Edge1(dolfin.SubDomain):\n",
      "    def inside(self, x, on_boundary):\n",
      "        return on_boundary and dolfin.near(x[0], MAX_X_DIM)\n",
      "class Edge2(dolfin.SubDomain):\n",
      "    def inside(self, x, on_boundary):\n",
      "        return on_boundary and dolfin.near(x[0], MIN_X_DIM)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "class cylinderDemo3D(pyurdme.URDMEModel):\n",
      "    def __init__(self, model_name=\"cylinder_demo3d\"):\n",
      "        pyurdme.URDMEModel.__init__(self, model_name)\n",
      "\n",
      "        # System constants\n",
      "        D_const = 1\n",
      "        \n",
      "        # Define Species\n",
      "        A = pyurdme.Species(name=\"A\", diffusion_constant=D_const)\n",
      "        B = pyurdme.Species(name=\"B\", diffusion_constant=D_const)\n",
      "        self.add_species([A, B])\n",
      "        \n",
      "        # Define Geometry\n",
      "        pt1 = dolfin.Point(MAX_X_DIM, 0, 0)\n",
      "        pt2 = dolfin.Point(MIN_X_DIM, 0, 0)\n",
      "        cylinder = dolfin.Cylinder(pt1, pt2, 1.0)\n",
      "        self.mesh = pyurdme.URDMEMesh(mesh=dolfin.Mesh(cylinder, 32))\n",
      "        \n",
      "        # Define Subdomains\n",
      "        subdomains = dolfin.MeshFunction(\"size_t\", self.mesh, self.mesh.topology().dim()-1)\n",
      "        subdomains.set_all(1)\n",
      "        \n",
      "        # Mark the boundary points\n",
      "        Edge1().mark(subdomains,2)\n",
      "        Edge2().mark(subdomains,3)\n",
      "        \n",
      "\n",
      "        # This section is a fix to ensure the creation rates are equal.  Since\n",
      "        # The creation reactions are zero-th order, They are proportional to volume.\n",
      "        # Due to the discritization the sum volume of the voxels in subdomain 1 may\n",
      "        # not be the same as the sum volume of the voxels in subdomain 2.  We adjust \n",
      "        # the parameters so that the net creation rate the same for both. \n",
      "        self.add_subdomain(subdomains)\n",
      "        data = self.get_solver_datastructure()\n",
      "        vol = data['vol']\n",
      "        sd = data['sd']\n",
      "        left = numpy.sum(vol[sd == 2])\n",
      "        right = numpy.sum(vol[sd == 3])\n",
      "        print \"Vol: Left(A)={0} right(B)={1}\".format(left, right)\n",
      "        # left (sd=2) right (sd=3)\n",
      "        k_creat = 100\n",
      "        k_creat1_val = k_creat/left\n",
      "        k_creat2_val = k_creat/right\n",
      "        print \"Net create rate: A={0} B={1}\".format(k_creat1_val, k_creat2_val)\n",
      "        \n",
      "        k_react = pyurdme.Parameter(name=\"k_react\", expression=1.0)\n",
      "        k_creat1 = pyurdme.Parameter(name=\"k_creat1\", expression=k_creat1_val)\n",
      "        k_creat2 = pyurdme.Parameter(name=\"k_creat2\", expression=k_creat2_val)\n",
      "        self.add_parameter([k_react, k_creat1,k_creat2])\n",
      "\n",
      "        \n",
      "        # Define Reactions\n",
      "        R1 = pyurdme.Reaction(name=\"R1\", reactants=None, products={A:1}, rate=k_creat1, restrict_to=2)\n",
      "        R2 = pyurdme.Reaction(name=\"R2\", reactants=None, products={B:1}, rate=k_creat2, restrict_to=3)\n",
      "        R3 = pyurdme.Reaction(name=\"R3\", reactants={A:1, B:1}, products=None, rate=k_react)\n",
      "        self.add_reaction([R1, R2, R3])\n",
      "\n",
      "        # Define simulation timespan\n",
      "        self.timespan(range(200))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "model = cylinderDemo3D()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Vol: Left(A)=0.151208732988 right(B)=0.297845493446\n",
        "Net create rate: A=661.337463941 B=335.744546083\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Simulate the System"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%time result = model.run(seed=100)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "CPU times: user 9.64 s, sys: 184 ms, total: 9.82 s\n",
        "Wall time: 36 s\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Visualization of the Results"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "model.mesh"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
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986, 128, 579, 708, 986, 579, 708, 986, 128, 579, 657, 986, 579, 657, 986, 128, 579, 657, 708, 579, 657, 708, 128, 10, 397, 685, 10, 397, 685, 128, 9, 397, 685, 9, 397, 685, 128, 9, 10, 397, 9, 10, 397, 128, 651, 739, 905, 651, 739, 905, 128, 602, 739, 905, 602, 739, 905, 128, 602, 651, 905, 602, 651, 905, 128, 416, 643, 829, 416, 643, 829, 128, 416, 643, 735, 416, 643, 735, 128, 602, 708, 909, 602, 708, 909, 128, 324, 464, 836, 324, 464, 836, 128, 246, 464, 836, 246, 464, 836, 128, 246, 324, 464, 246, 324, 464, 128, 605, 715, 849, 605, 715, 849, 128, 589, 715, 849, 589, 715, 849, 128, 589, 605, 849, 589, 605, 849, 128, 81, 397, 685, 81, 397, 685, 128, 10, 81, 685, 10, 81, 685, 128, 10, 81, 397, 10, 81, 397, 128, 554, 702, 958, 554, 702, 958, 128, 554, 702, 914, 554, 702, 914, 128, 125, 400, 826, 125, 400, 826, 128, 93, 400, 826, 93, 400, 826, 128, 93, 125, 826, 93, 125, 826, 128, 93, 125, 400, 93, 125, 400, 128, 325, 327, 928, 325, 327, 928, 128, 218, 325, 928, 218, 325, 928, 128, 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525, 526, 59, 525, 526, 128, 80, 624, 790, 80, 624, 790, 128, 80, 624, 698, 80, 624, 698, 128, 126, 403, 790, 126, 403, 790, 128, 80, 403, 790, 80, 403, 790, 128, 80, 126, 790, 80, 126, 790, 128, 80, 126, 403, 80, 126, 403, 128, 644, 763, 892, 644, 763, 892, 128, 568, 644, 892, 568, 644, 892, 128, 568, 644, 763, 568, 644, 763, 128, 224, 364, 664, 224, 364, 664, 128, 224, 349, 364, 224, 349, 364, 128, 776, 920, 988, 776, 920, 988, 128, 310, 920, 988, 310, 920, 988, 128, 310, 776, 920, 310, 776, 920, 128, 604, 677, 945, 604, 677, 945, 128, 431, 677, 945, 431, 677, 945, 128, 431, 604, 945, 431, 604, 945, 128, 431, 604, 677, 431, 604, 677, 128, 604, 756, 945, 604, 756, 945, 128, 584, 604, 756, 584, 604, 756, 128, 598, 683, 769, 598, 683, 769, 128, 563, 598, 683, 563, 598, 683, 128, 589, 950, 1044, 589, 950, 1044, 128, 589, 682, 1044, 589, 682, 1044, 128, 589, 682, 950, 589, 682, 950, 128, 542, 937, 939, 542, 937, 939, 128, 77, 125, 826, 77, 125, 826, 128, 77, 125, 400, 77, 125, 400, 128, 263, 304, 721, 263, 304, 721, 128, 201, 304, 721, 201, 304, 721, 128, 201, 263, 721, 201, 263, 721, 128, 201, 263, 304, 201, 263, 304, 128, 716, 772, 871, 716, 772, 871, 128, 68, 772, 871, 68, 772, 871, 128, 68, 716, 871, 68, 716, 871, 128, 68, 716, 772, 68, 716, 772, 128, 645, 646, 800, 645, 646, 800, 128, 626, 645, 800, 626, 645, 800, 128, 626, 800, 976, 626, 800, 976, 128, 573, 800, 976, 573, 800, 976, 128, 573, 626, 976, 573, 626, 976, 128, 573, 626, 800, 573, 626, 800, 128, 742, 755, 1038, 742, 755, 1038, 128, 376, 755, 1038, 376, 755, 1038, 128, 376, 742, 1038, 376, 742, 1038, 128, 379, 595, 652, 379, 595, 652, 128, 206, 595, 652, 206, 595, 652, 128, 206, 379, 652, 206, 379, 652, 128, 206, 379, 595, 206, 379, 595, 128, 316, 618, 736, 316, 618, 736, 128, 200, 618, 736, 200, 618, 736, 128, 200, 316, 736, 200, 316, 736, 128, 200, 316, 618, 200, 316, 618, 128, 596, 662, 774, 596, 662, 774, 128, 366, 662, 774, 366, 662, 774, 128, 366, 596, 774, 366, 596, 774, 128, 366, 596, 662, 366, 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128, 731, 868, 968, 731, 868, 968, 128, 569, 868, 968, 569, 868, 968, 128, 569, 731, 968, 569, 731, 968, 128, 569, 731, 868, 569, 731, 868, 128, 416, 643, 856, 416, 643, 856, 128, 165, 643, 856, 165, 643, 856, 128, 165, 416, 856, 165, 416, 856, 128, 165, 416, 643, 165, 416, 643, 128, 682, 757, 968, 682, 757, 968, 128, 569, 682, 757, 569, 682, 757, 128, 598, 933, 1026, 598, 933, 1026, 128, 703, 1020, 1021, 703, 1020, 1021, 128, 272, 1020, 1021, 272, 1020, 1021, 128, 272, 703, 1021, 272, 703, 1021, 128, 272, 703, 1020, 272, 703, 1020, 128, 639, 684, 870, 639, 684, 870, 128, 557, 684, 870, 557, 684, 870, 128, 557, 639, 870, 557, 639, 870, 128, 557, 639, 684, 557, 639, 684, 128, 436, 717, 908, 436, 717, 908, 128, 436, 641, 717, 436, 641, 717, 128, 740, 971, 1029, 740, 971, 1029, 128, 689, 971, 1029, 689, 971, 1029, 128, 689, 740, 971, 689, 740, 971, 128, 573, 758, 1056, 573, 758, 1056, 128, 573, 758, 800, 573, 758, 800, 128, 532, 613, 650, 532, 613, 650, 128, 251, 532, 650, 251, 532, 650, 128, 251, 532, 613, 251, 532, 613, 128, 704, 831, 988, 704, 831, 988, 128, 578, 831, 988, 578, 831, 988, 128, 578, 704, 988, 578, 704, 988, 128, 578, 704, 831, 578, 704, 831, 128, 578, 920, 988, 578, 920, 988, 128, 578, 714, 988, 578, 714, 988, 128, 578, 714, 920, 578, 714, 920, 128, 503, 846, 936, 503, 846, 936, 128, 56, 846, 936, 56, 846, 936, 128, 56, 503, 846, 56, 503, 846, 128, 554, 795, 958, 554, 795, 958, 128, 554, 745, 958, 554, 745, 958, 128, 595, 686, 868, 595, 686, 868, 128, 595, 652, 686, 595, 652, 686, 128, 283, 503, 504, 283, 503, 504, 128, 642, 846, 936, 642, 846, 936, 128, 570, 642, 846, 570, 642, 846, 128, 407, 505, 936, 407, 505, 936, 128, 407, 504, 936, 407, 504, 936, 128, 407, 504, 505, 407, 504, 505, 128, 56, 642, 936, 56, 642, 936, 128, 56, 642, 846, 56, 642, 846, 128, 503, 794, 846, 503, 794, 846, 128, 609, 899, 1014, 609, 899, 1014, 128, 609, 831, 1014, 609, 831, 1014, 128, 609, 831, 899, 609, 831, 899, 128, 407, 642, 936, 407, 642, 936, 128, 56, 407, 936, 56, 407, 936, 128, 56, 407, 642, 56, 407, 642, 128, 18, 433, 806, 18, 433, 806, 128, 17, 18, 806, 17, 18, 806, 128, 551, 849, 1044, 551, 849, 1044, 128, 557, 895, 953, 557, 895, 953, 128, 557, 701, 953, 557, 701, 953, 128, 557, 701, 895, 557, 701, 895, 128, 656, 802, 1026, 656, 802, 1026, 128, 598, 656, 802, 598, 656, 802, 128, 114, 946, 983, 114, 946, 983, 128, 81, 946, 983, 81, 946, 983, 128, 81, 114, 983, 81, 114, 983, 128, 81, 114, 946, 81, 114, 946, 128, 38, 39, 94, 38, 39, 94, 128, 550, 662, 774, 550, 662, 774, 128, 550, 596, 774, 550, 596, 774, 128, 550, 596, 662, 550, 596, 662, 128, 408, 516, 678, 408, 516, 678, 128, 161, 408, 678, 161, 408, 678, 128, 161, 408, 516, 161, 408, 516, 128, 524, 621, 840, 524, 621, 840, 128, 524, 525, 621, 524, 525, 621, 128, 594, 791, 913, 594, 791, 913, 128, 594, 644, 791, 594, 644, 791, 128, 34, 113, 687, 34, 113, 687, 128, 33, 113, 687, 33, 113, 687, 128, 33, 34, 113, 33, 34, 113, 128, 479, 678, 886, 479, 678, 886, 128, 160, 479, 886, 160, 479, 886, 128, 160, 479, 678, 160, 479, 678, 128, 544, 591, 613, 544, 591, 613, 128, 213, 652, 810, 213, 652, 810, 128, 213, 379, 652, 213, 379, 652, 128, 619, 852, 939, 619, 852, 939, 128, 558, 852, 939, 558, 852, 939, 128, 558, 619, 852, 558, 619, 852, 128, 584, 637, 948, 584, 637, 948, 128, 540, 637, 948, 540, 637, 948, 128, 540, 584, 948, 540, 584, 948, 128, 320, 466, 788, 320, 466, 788, 128, 212, 466, 788, 212, 466, 788, 128, 212, 320, 788, 212, 320, 788, 128, 212, 320, 466, 212, 320, 466, 128, 539, 745, 958, 539, 745, 958, 128, 539, 615, 958, 539, 615, 958, 128, 586, 849, 884, 586, 849, 884, 128, 551, 586, 884, 551, 586, 884, 128, 551, 586, 849, 551, 586, 849, 128, 637, 945, 979, 637, 945, 979, 128, 637, 808, 945, 637, 808, 945, 128, 357, 431, 604, 357, 431, 604, 128, 222, 431, 604, 222, 431, 604, 128, 222, 357, 604, 222, 357, 604, 128, 222, 357, 431, 222, 357, 431, 128, 581, 641, 884, 581, 641, 884, 128, 337, 764, 847, 337, 764, 847, 128, 180, 337, 764, 180, 337, 764, 128, 782, 827, 1000, 782, 827, 1000, 128, 746, 827, 1000, 746, 827, 1000, 128, 746, 782, 1000, 746, 782, 1000, 128, 606, 938, 957, 606, 938, 957, 128, 545, 938, 957, 545, 938, 957, 128, 545, 606, 957, 545, 606, 957, 128, 626, 687, 1045, 626, 687, 1045, 128, 547, 687, 1045, 547, 687, 1045, 128, 547, 626, 1045, 547, 626, 1045, 128, 520, 630, 874, 520, 630, 874, 128, 60, 520, 874, 60, 520, 874, 128, 577, 732, 974, 577, 732, 974, 128, 358, 732, 974, 358, 732, 974, 128, 82, 113, 762, 82, 113, 762, 128, 82, 86, 762, 82, 86, 762, 128, 82, 86, 113, 82, 86, 113, 128, 758, 799, 1045, 758, 799, 1045, 128, 547, 799, 1045, 547, 799, 1045, 128, 547, 758, 1045, 547, 758, 1045, 128, 416, 511, 643, 416, 511, 643, 128, 165, 416, 511, 165, 416, 511, 128, 714, 831, 899, 714, 831, 899, 128, 546, 714, 899, 546, 714, 899, 128, 546, 714, 831, 546, 714, 831, 128, 211, 321, 962, 211, 321, 962, 128, 539, 809, 841, 539, 809, 841, 128, 539, 690, 809, 539, 690, 809, 128, 172, 528, 636, 172, 528, 636, 128, 169, 528, 636, 169, 528, 636, 128, 169, 172, 636, 169, 172, 636, 128, 169, 172, 528, 169, 172, 528, 128, 321, 679, 778, 321, 679, 778, 128, 338, 750, 954, 338, 750, 954, 128, 273, 750, 954, 273, 750, 954, 128, 273, 338, 954, 273, 338, 954, 128, 590, 727, 977, 590, 727, 977, 128, 558, 912, 1007, 558, 912, 1007, 128, 558, 689, 1007, 558, 689, 1007, 128, 605, 743, 777, 605, 743, 777, 128, 605, 692, 777, 605, 692, 777, 128, 605, 692, 743, 605, 692, 743, 128, 500, 967, 1016, 500, 967, 1016, 128, 256, 967, 1016, 256, 967, 1016, 128, 256, 500, 967, 256, 500, 967, 128, 472, 708, 1002, 472, 708, 1002, 128, 411, 708, 1002, 411, 708, 1002, 128, 411, 472, 1002, 411, 472, 1002, 128, 610, 618, 851, 610, 618, 851, 128, 654, 763, 813, 654, 763, 813, 128, 571, 763, 813, 571, 763, 813, 128, 571, 654, 813, 571, 654, 813, 128, 571, 654, 763, 571, 654, 763, 128, 690, 841, 915, 690, 841, 915, 128, 615, 841, 915, 615, 841, 915, 128, 615, 690, 915, 615, 690, 915, 128, 615, 690, 841, 615, 690, 841, 128, 447, 632, 781, 447, 632, 781, 128, 334, 447, 781, 334, 447, 781, 128, 334, 447, 632, 334, 447, 632, 128, 547, 623, 762, 547, 623, 762, 128, 394, 998, 1051, 394, 998, 1051, 128, 167, 998, 1051, 167, 998, 1051, 128, 167, 394, 1051, 167, 394, 1051, 128, 167, 394, 998, 167, 394, 998, 128, 187, 481, 776, 187, 481, 776, 128, 187, 360, 776, 187, 360, 776, 128, 187, 360, 481, 187, 360, 481, 128, 199, 365, 669, 199, 365, 669, 128, 199, 231, 365, 199, 231, 365, 128, 562, 613, 773, 562, 613, 773, 128, 616, 744, 1017, 616, 744, 1017, 128, 486, 744, 1017, 486, 744, 1017, 128, 486, 616, 1017, 486, 616, 1017, 128, 486, 616, 744, 486, 616, 744, 128, 711, 731, 868, 711, 731, 868, 128, 569, 711, 868, 569, 711, 868, 128, 695, 804, 1015, 695, 804, 1015, 128, 708, 895, 1002, 708, 895, 1002, 128, 557, 895, 1002, 557, 895, 1002, 128, 557, 708, 1002, 557, 708, 1002, 128, 2, 377, 996, 2, 377, 996, 128, 2, 377, 688, 2, 377, 688, 128, 485, 509, 898, 485, 509, 898, 128, 277, 509, 898, 277, 509, 898, 128, 277, 485, 898, 277, 485, 898, 128, 277, 485, 509, 277, 485, 509, 128, 241, 494, 756, 241, 494, 756, 128, 241, 493, 756, 241, 493, 756, 128, 241, 493, 494, 241, 493, 494, 128, 431, 677, 756, 431, 677, 756, 128, 241, 431, 756, 241, 431, 756, 128, 596, 838, 1047, 596, 838, 1047, 128, 617, 768, 848, 617, 768, 848, 128, 237, 617, 848, 237, 617, 848, 128, 237, 617, 768, 237, 617, 768, 128, 52, 659, 792, 52, 659, 792, 128, 52, 469, 659, 52, 469, 659, 128, 628, 650, 888, 628, 650, 888, 128, 567, 650, 888, 567, 650, 888, 128, 567, 628, 650, 567, 628, 650, 128, 241, 494, 837, 241, 494, 837, 128, 522, 523, 861, 522, 523, 861, 128, 144, 522, 523, 144, 522, 523, 128, 755, 795, 1038, 755, 795, 1038, 128, 742, 795, 1038, 742, 795, 1038, 128, 742, 755, 795, 742, 755, 795, 128, 413, 498, 912, 413, 498, 912, 128, 177, 498, 912, 177, 498, 912, 128, 177, 413, 912, 177, 413, 912, 128, 177, 413, 498, 177, 413, 498, 128, 206, 595, 686, 206, 595, 686, 128, 630, 981, 1015, 630, 981, 1015, 128, 547, 630, 981, 547, 630, 981, 128, 606, 705, 1053, 606, 705, 1053, 128, 510, 606, 705, 510, 606, 705, 128, 459, 936, 1013, 459, 936, 1013, 128, 283, 459, 1013, 283, 459, 1013, 128, 87, 917, 993, 87, 917, 993, 128, 87, 658, 917, 87, 658, 917, 128, 571, 813, 828, 571, 813, 828, 128, 314, 383, 929, 314, 383, 929, 128, 210, 314, 929, 210, 314, 929, 128, 210, 314, 383, 210, 314, 383, 128, 635, 717, 929, 635, 717, 929, 128, 210, 635, 929, 210, 635, 929, 128, 274, 632, 954, 274, 632, 954, 128, 274, 592, 954, 274, 592, 954, 128, 56, 407, 504, 56, 407, 504, 128, 381, 472, 1002, 381, 472, 1002, 128, 155, 472, 1002, 155, 472, 1002, 128, 155, 381, 472, 155, 381, 472, 128, 829, 900, 1042, 829, 900, 1042, 128, 439, 900, 1042, 439, 900, 1042, 128, 447, 681, 781, 447, 681, 781, 128, 187, 447, 781, 187, 447, 781, 128, 187, 447, 681, 187, 447, 681, 128, 58, 759, 946, 58, 759, 946, 128, 58, 759, 822, 58, 759, 822, 128, 544, 591, 870, 544, 591, 870, 128, 710, 853, 986, 710, 853, 986, 128, 557, 710, 853, 557, 710, 853, 128, 60, 520, 521, 60, 520, 521, 128, 220, 435, 715, 220, 435, 715, 128, 220, 368, 435, 220, 368, 435, 128, 669, 852, 1007, 669, 852, 1007, 128, 558, 852, 1007, 558, 852, 1007, 128, 558, 669, 852, 558, 669, 852, 128, 446, 689, 754, 446, 689, 754, 128, 221, 446, 754, 221, 446, 754, 128, 582, 803, 916, 582, 803, 916, 128, 582, 693, 916, 582, 693, 916, 128, 222, 431, 677, 222, 431, 677, 128, 564, 733, 969, 564, 733, 969, 128, 564, 730, 969, 564, 730, 969, 128, 564, 730, 733, 564, 730, 733, 128, 626, 758, 800, 626, 758, 800, 128, 3, 109, 688, 3, 109, 688, 128, 2, 109, 688, 2, 109, 688, 128, 2, 3, 109, 2, 3, 109, 128, 344, 394, 651, 344, 394, 651, 128, 235, 344, 651, 235, 344, 651, 128, 235, 344, 394, 235, 344, 394, 128, 673, 1049, 1050, 673, 1049, 1050, 128, 673, 960, 1049, 673, 960, 1049, 128, 410, 514, 659, 410, 514, 659, 128, 157, 514, 659, 157, 514, 659, 128, 157, 410, 514, 157, 410, 514, 128, 64, 790, 1013, 64, 790, 1013, 128, 64, 699, 1013, 64, 699, 1013, 128, 57, 762, 917, 57, 762, 917, 128, 57, 86, 917, 57, 86, 917, 128, 57, 86, 762, 57, 86, 762, 128, 695, 804, 976, 695, 804, 976, 128, 680, 695, 976, 680, 695, 976, 128, 417, 923, 1035, 417, 923, 1035, 128, 42, 923, 1035, 42, 923, 1035, 128, 42, 417, 1035, 42, 417, 1035, 128, 42, 417, 923, 42, 417, 923, 128, 82, 762, 1059, 82, 762, 1059, 128, 57, 82, 1059, 57, 82, 1059, 128, 57, 82, 762, 57, 82, 762, 128, 619, 937, 939, 619, 937, 939, 128, 553, 812, 898, 553, 812, 898, 128, 553, 634, 812, 553, 634, 812, 128, 64, 283, 1013, 64, 283, 1013, 128, 200, 775, 951, 200, 775, 951, 128, 200, 355, 951, 200, 355, 951, 128, 200, 355, 775, 200, 355, 775, 128, 148, 408, 886, 148, 408, 886, 128, 148, 265, 886, 148, 265, 886, 128, 148, 265, 408, 148, 265, 408, 128, 638, 905, 1060, 638, 905, 1060, 128, 593, 638, 1060, 593, 638, 1060, 128, 593, 638, 905, 593, 638, 905, 128, 567, 650, 870, 567, 650, 870, 128, 569, 810, 1044, 569, 810, 1044, 128, 569, 652, 1044, 569, 652, 1044, 128, 610, 618, 802, 610, 618, 802, 128, 539, 610, 802, 539, 610, 802, 128, 849, 884, 1008, 849, 884, 1008, 128, 586, 884, 1008, 586, 884, 1008, 128, 586, 849, 1008, 586, 849, 1008, 128, 643, 851, 900, 643, 851, 900, 128, 610, 643, 900, 610, 643, 900, 128, 692, 777, 1040, 692, 777, 1040, 128, 605, 777, 1040, 605, 777, 1040, 128, 605, 692, 1040, 605, 692, 1040, 128, 111, 645, 647, 111, 645, 647, 128, 78, 645, 647, 78, 645, 647, 128, 78, 111, 647, 78, 111, 647, 128, 78, 111, 645, 78, 111, 645, 128, 181, 665, 782, 181, 665, 782, 128, 309, 867, 885, 309, 867, 885, 128, 309, 815, 867, 309, 815, 867, 128, 591, 700, 703, 591, 700, 703, 128, 671, 826, 854, 671, 826, 854, 128, 566, 671, 854, 566, 671, 854, 128, 323, 489, 777, 323, 489, 777, 128, 306, 489, 777, 306, 489, 777, 128, 306, 323, 489, 306, 323, 489, 128, 648, 778, 962, 648, 778, 962, 128, 648, 778, 887, 648, 778, 887, 128, 295, 648, 962, 295, 648, 962, 128, 211, 295, 962, 211, 295, 962, 128, 190, 321, 962, 190, 321, 962, 128, 707, 807, 937, 707, 807, 937, 128, 572, 807, 937, 572, 807, 937, 128, 572, 707, 807, 572, 707, 807, 128, 380, 599, 963, 380, 599, 963, 128, 240, 380, 963, 240, 380, 963, 128, 295, 648, 778, 295, 648, 778, 128, 66, 800, 1056, 66, 800, 1056, 128, 66, 744, 1056, 66, 744, 1056, 128, 66, 744, 800, 66, 744, 800, 128, 173, 328, 875, 173, 328, 875, 128, 173, 260, 875, 173, 260, 875, 128, 173, 260, 328, 173, 260, 328, 128, 383, 929, 1024, 383, 929, 1024, 128, 314, 383, 1024, 314, 383, 1024, 128, 332, 414, 618, 332, 414, 618, 128, 165, 414, 618, 165, 414, 618, 128, 165, 332, 414, 165, 332, 414, 128, 334, 497, 632, 334, 497, 632, 128, 203, 497, 632, 203, 497, 632, 128, 203, 334, 632, 203, 334, 632, 128, 203, 334, 497, 203, 334, 497, 128, 764, 847, 972, 764, 847, 972, 128, 337, 847, 972, 337, 847, 972, 128, 67, 115, 813, 67, 115, 813, 128, 67, 115, 654, 67, 115, 654, 128, 82, 113, 687, 82, 113, 687, 128, 33, 82, 687, 33, 82, 687, 128, 33, 82, 113, 33, 82, 113, 128, 182, 323, 863, 182, 323, 863, 128, 182, 263, 323, 182, 263, 323, 128, 187, 315, 447, 187, 315, 447, 128, 382, 839, 908, 382, 839, 908, 128, 382, 839, 875, 382, 839, 875, 128, 675, 748, 930, 675, 748, 930, 128, 559, 748, 930, 559, 748, 930, 128, 559, 675, 930, 559, 675, 930, 128, 710, 741, 852, 710, 741, 852, 128, 558, 741, 852, 558, 741, 852, 128, 558, 710, 852, 558, 710, 852, 128, 614, 672, 730, 614, 672, 730, 128, 561, 672, 730, 561, 672, 730, 128, 220, 605, 715, 220, 605, 715, 128, 604, 637, 979, 604, 637, 979, 128, 37, 38, 624, 37, 38, 624, 128, 37, 38, 126, 37, 38, 126, 128, 602, 853, 895, 602, 853, 895, 128, 602, 708, 853, 602, 708, 853, 128, 552, 722, 999, 552, 722, 999, 128, 552, 612, 999, 552, 612, 999, 128, 552, 612, 722, 552, 612, 722, 128, 612, 637, 999, 612, 637, 999, 128, 552, 637, 999, 552, 637, 999, 128, 552, 612, 637, 552, 612, 637, 128, 637, 979, 999, 637, 979, 999, 128, 552, 637, 979, 552, 637, 979, 128, 666, 687, 1045, 666, 687, 1045, 128, 101, 687, 1045, 101, 687, 1045, 128, 101, 666, 1045, 101, 666, 1045, 128, 101, 666, 687, 101, 666, 687, 128, 544, 628, 870, 544, 628, 870, 128, 544, 628, 765, 544, 628, 765, 128, 460, 688, 826, 460, 688, 826, 128, 123, 460, 826, 123, 460, 826, 128, 123, 460, 688, 123, 460, 688, 128, 554, 904, 1018, 554, 904, 1018, 128, 554, 702, 1018, 554, 702, 1018, 128, 554, 702, 904, 554, 702, 904, 128, 553, 729, 824, 553, 729, 824, 128, 705, 965, 1017, 705, 965, 1017, 128, 616, 965, 1017, 616, 965, 1017, 128, 616, 705, 1017, 616, 705, 1017, 128, 616, 705, 965, 616, 705, 965, 128, 217, 424, 769, 217, 424, 769, 128, 217, 423, 424, 217, 423, 424, 128, 40, 87, 658, 40, 87, 658, 128, 40, 41, 658, 40, 41, 658, 128, 40, 41, 87, 40, 41, 87, 128, 665, 827, 1027, 665, 827, 1027, 128, 257, 665, 1027, 257, 665, 1027, 128, 691, 919, 929, 691, 919, 929, 128, 512, 919, 929, 512, 919, 929, 128, 512, 691, 929, 512, 691, 929, 128, 512, 691, 919, 512, 691, 919, 128, 348, 792, 973, 348, 792, 973, 128, 348, 415, 973, 348, 415, 973, 128, 348, 415, 792, 348, 415, 792, 128, 652, 711, 1044, 652, 711, 1044, 128, 587, 711, 1044, 587, 711, 1044, 128, 671, 819, 854, 671, 819, 854, 128, 109, 819, 854, 109, 819, 854, 128, 648, 728, 764, 648, 728, 764, 128, 612, 728, 764, 612, 728, 764, 128, 612, 648, 764, 612, 648, 764, 128, 577, 700, 841, 577, 700, 841, 128, 577, 700, 703, 577, 700, 703, 128, 324, 672, 836, 324, 672, 836, 128, 214, 672, 836, 214, 672, 836, 128, 246, 816, 956, 246, 816, 956, 128, 42, 246, 956, 42, 246, 956, 128, 42, 246, 816, 42, 246, 816, 128, 467, 704, 724, 467, 704, 724, 128, 128, 467, 724, 128, 467, 724, 128, 128, 467, 704, 128, 467, 704, 128, 351, 473, 896, 351, 473, 896, 128, 236, 473, 896, 236, 473, 896, 128, 236, 351, 896, 236, 351, 896, 128, 236, 351, 473, 236, 351, 473, 128, 16, 115, 806, 16, 115, 806, 128, 15, 115, 806, 15, 115, 806, 128, 15, 16, 806, 15, 16, 806, 128, 15, 16, 115, 15, 16, 115, 128, 528, 932, 1017, 528, 932, 1017, 128, 170, 932, 1017, 170, 932, 1017, 128, 170, 528, 932, 170, 528, 932, 128, 615, 817, 885, 615, 817, 885, 128, 309, 615, 817, 309, 615, 817, 128, 64, 459, 1013, 64, 459, 1013, 128, 64, 283, 459, 64, 283, 459, 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4, 5, 854, 128, 4, 5, 109, 4, 5, 109, 128, 666, 687, 1059, 666, 687, 1059, 128, 82, 687, 1059, 82, 687, 1059, 128, 82, 666, 1059, 82, 666, 1059, 128, 82, 666, 687, 82, 666, 687, 128, 619, 753, 1028, 619, 753, 1028, 128, 391, 619, 753, 391, 619, 753, 128, 393, 489, 721, 393, 489, 721, 128, 263, 489, 721, 263, 489, 721, 128, 263, 393, 489, 263, 393, 489, 128, 56, 275, 407, 56, 275, 407, 128, 2, 88, 109, 2, 88, 109, 128, 601, 618, 745, 601, 618, 745, 128, 206, 361, 379, 206, 361, 379, 128, 205, 305, 505, 205, 305, 505, 128, 316, 618, 856, 316, 618, 856, 128, 126, 624, 790, 126, 624, 790, 128, 625, 793, 839, 625, 793, 839, 128, 356, 625, 839, 356, 625, 839, 128, 356, 625, 793, 356, 625, 793, 128, 487, 871, 932, 487, 871, 932, 128, 62, 487, 871, 62, 487, 871, 128, 325, 327, 641, 325, 327, 641, 128, 193, 327, 641, 193, 327, 641, 128, 193, 325, 327, 193, 325, 327, 128, 542, 939, 1046, 542, 939, 1046, 128, 542, 592, 1046, 542, 592, 1046, 128, 298, 602, 651, 298, 602, 651, 128, 89, 333, 890, 89, 333, 890, 128, 13, 89, 333, 13, 89, 333, 128, 704, 858, 859, 704, 858, 859, 128, 369, 858, 859, 369, 858, 859, 128, 369, 704, 858, 369, 704, 858, 128, 230, 424, 598, 230, 424, 598, 128, 230, 423, 598, 230, 423, 598, 128, 230, 423, 424, 230, 423, 424, 128, 230, 538, 640, 230, 538, 640, 128, 230, 537, 640, 230, 537, 640, 128, 230, 537, 538, 230, 537, 538, 128, 355, 424, 769, 355, 424, 769, 128, 217, 355, 424, 217, 355, 424, 128, 597, 737, 968, 597, 737, 968, 128, 595, 737, 968, 595, 737, 968, 128, 654, 726, 763, 654, 726, 763, 128, 5, 6, 761, 5, 6, 761, 128, 5, 6, 418, 5, 6, 418, 128, 146, 655, 892, 146, 655, 892, 128, 89, 146, 892, 89, 146, 892, 128, 72, 404, 799, 72, 404, 799, 128, 72, 404, 475, 72, 404, 475, 128, 325, 908, 928, 325, 908, 928, 128, 325, 483, 928, 325, 483, 928, 128, 325, 483, 908, 325, 483, 908, 128, 582, 803, 861, 582, 803, 861, 128, 522, 803, 861, 522, 803, 861, 128, 522, 582, 861, 522, 582, 861, 128, 357, 384, 808, 357, 384, 808, 128, 144, 384, 808, 144, 384, 808, 128, 144, 357, 384, 144, 357, 384, 128, 280, 1049, 1050, 280, 1049, 1050, 128, 281, 406, 903, 281, 406, 903, 128, 192, 406, 903, 192, 406, 903, 128, 192, 281, 406, 192, 281, 406, 128, 5, 85, 761, 5, 85, 761, 128, 5, 6, 85, 5, 6, 85, 128, 304, 640, 721, 304, 640, 721, 128, 263, 640, 721, 263, 640, 721, 128, 289, 386, 774, 289, 386, 774, 128, 158, 289, 386, 158, 289, 386, 128, 440, 738, 1028, 440, 738, 1028, 128, 231, 738, 1028, 231, 738, 1028, 128, 231, 440, 738, 231, 440, 738, 128, 502, 503, 794, 502, 503, 794, 128, 74, 502, 503, 74, 502, 503, 128, 797, 886, 1039, 797, 886, 1039, 128, 265, 886, 1039, 265, 886, 1039, 128, 265, 797, 1039, 265, 797, 1039, 128, 620, 675, 807, 620, 675, 807, 128, 620, 675, 748, 620, 675, 748, 128, 271, 328, 919, 271, 328, 919, 128, 173, 328, 919, 173, 328, 919, 128, 173, 271, 328, 173, 271, 328, 128, 552, 637, 673, 552, 637, 673, 128, 257, 903, 1027, 257, 903, 1027, 128, 632, 765, 912, 632, 765, 912, 128, 554, 702, 745, 554, 702, 745, 128, 302, 932, 1055, 302, 932, 1055, 128, 443, 473, 633, 443, 473, 633, 128, 236, 473, 633, 236, 473, 633, 128, 236, 443, 633, 236, 443, 633, 128, 236, 443, 473, 236, 443, 473, 128, 177, 611, 725, 177, 611, 725, 128, 177, 371, 611, 177, 371, 611, 128, 21, 96, 104, 21, 96, 104, 128, 372, 442, 730, 372, 442, 730, 128, 214, 442, 730, 214, 442, 730, 128, 214, 372, 730, 214, 372, 730, 128, 214, 372, 442, 214, 372, 442, 128, 605, 743, 1040, 605, 743, 1040, 128, 831, 913, 1014, 831, 913, 1014, 128, 546, 831, 913, 546, 831, 913, 128, 66, 462, 800, 66, 462, 800, 128, 40, 110, 658, 40, 110, 658, 128, 39, 40, 658, 39, 40, 658, 128, 39, 40, 110, 39, 40, 110, 128, 656, 851, 880, 656, 851, 880, 128, 243, 851, 880, 243, 851, 880, 128, 601, 736, 1023, 601, 736, 1023, 128, 294, 736, 1023, 294, 736, 1023, 128, 294, 601, 1023, 294, 601, 1023, 128, 294, 601, 736, 294, 601, 736, 128, 601, 974, 1023, 601, 974, 1023, 128, 317, 974, 1023, 317, 974, 1023, 128, 317, 601, 1023, 317, 601, 1023, 128, 131, 601, 1023, 131, 601, 1023, 128, 131, 317, 1023, 131, 317, 1023, 128, 241, 399, 465, 241, 399, 465, 128, 240, 500, 674, 240, 500, 674, 128, 240, 256, 500, 240, 256, 500, 128, 769, 775, 951, 769, 775, 951, 128, 506, 769, 775, 506, 769, 775, 128, 724, 913, 1051, 724, 913, 1051, 128, 595, 868, 968, 595, 868, 968, 128, 680, 804, 993, 680, 804, 993, 128, 530, 709, 773, 530, 709, 773, 128, 164, 530, 709, 164, 530, 709, 128, 583, 629, 1009, 583, 629, 1009, 128, 583, 596, 1009, 583, 596, 1009, 128, 583, 596, 629, 583, 596, 629, 128, 635, 827, 941, 635, 827, 941, 128, 635, 665, 941, 635, 665, 941, 128, 635, 665, 827, 635, 665, 827, 128, 587, 865, 941, 587, 865, 941, 128, 587, 665, 941, 587, 665, 941, 128, 633, 911, 1009, 633, 911, 1009, 128, 633, 661, 1009, 633, 661, 1009, 128, 55, 128, 704, 55, 128, 704, 128, 343, 669, 963, 343, 669, 963, 128, 231, 343, 963, 231, 343, 963, 128, 231, 343, 669, 231, 343, 669, 128, 305, 699, 801, 305, 699, 801, 128, 227, 725, 842, 227, 725, 842, 128, 227, 371, 842, 227, 371, 842, 128, 126, 623, 790, 126, 623, 790, 128, 94, 623, 790, 94, 623, 790, 128, 563, 656, 802, 563, 656, 802, 128, 563, 598, 802, 563, 598, 802, 128, 709, 732, 974, 709, 732, 974, 128, 358, 709, 974, 358, 709, 974, 128, 358, 709, 732, 358, 709, 732, 128, 460, 714, 826, 460, 714, 826, 128, 460, 566, 826, 460, 566, 826, 128, 460, 566, 714, 460, 566, 714, 128, 698, 762, 922, 698, 762, 922, 128, 687, 698, 762, 687, 698, 762, 128, 269, 593, 1060, 269, 593, 1060, 128, 269, 593, 660, 269, 593, 660, 128, 724, 828, 1014, 724, 828, 1014, 128, 609, 828, 1014, 609, 828, 1014, 128, 609, 724, 1014, 609, 724, 1014, 128, 110, 624, 762, 110, 624, 762, 128, 86, 624, 762, 86, 624, 762, 128, 470, 866, 947, 470, 866, 947, 128, 154, 866, 947, 154, 866, 947, 128, 154, 470, 866, 154, 470, 866, 128, 546, 899, 918, 546, 899, 918, 128, 240, 674, 844, 240, 674, 844, 128, 240, 599, 674, 240, 599, 674, 128, 210, 436, 717, 210, 436, 717, 128, 210, 314, 436, 210, 314, 436, 128, 442, 622, 1029, 442, 622, 1029, 128, 242, 442, 622, 242, 442, 622, 128, 203, 632, 954, 203, 632, 954, 128, 588, 634, 824, 588, 634, 824, 128, 543, 588, 824, 543, 588, 824, 128, 325, 641, 928, 325, 641, 928, 128, 697, 820, 824, 697, 820, 824, 128, 582, 820, 824, 582, 820, 824, 128, 255, 519, 630, 255, 519, 630, 128, 255, 519, 520, 255, 519, 520, 128, 220, 448, 715, 220, 448, 715, 128, 220, 448, 518, 220, 448, 518, 128, 287, 625, 719, 287, 625, 719, 128, 287, 483, 719, 287, 483, 719, 128, 275, 642, 837, 275, 642, 837, 128, 68, 138, 172, 68, 138, 172, 128, 133, 399, 494, 133, 399, 494, 128, 133, 275, 494, 133, 275, 494, 128, 583, 752, 811, 583, 752, 811, 128, 46, 752, 811, 46, 752, 811, 128, 46, 583, 811, 46, 583, 811, 128, 46, 583, 752, 46, 583, 752, 128, 33, 666, 687, 33, 666, 687, 128, 612, 637, 948, 612, 637, 948, 128, 73, 460, 714, 73, 460, 714, 128, 73, 292, 714, 73, 292, 714, 128, 73, 292, 460, 73, 292, 460, 128, 549, 686, 782, 549, 686, 782, 128, 728, 764, 1031, 728, 764, 1031, 128, 565, 728, 1031, 565, 728, 1031, 128, 408, 516, 797, 408, 516, 797, 128, 265, 408, 516, 265, 408, 516, 128, 579, 741, 852, 579, 741, 852, 128, 558, 579, 852, 558, 579, 852, 128, 558, 579, 741, 558, 579, 741, 128, 116, 135, 772, 116, 135, 772, 128, 26, 116, 135, 26, 116, 135, 128, 125, 826, 854, 125, 826, 854, 128, 93, 826, 854, 93, 826, 854, 128, 93, 125, 854, 93, 125, 854, 128, 134, 756, 897, 134, 756, 897, 128, 134, 493, 897, 134, 493, 897, 128, 134, 493, 756, 134, 493, 756, 128, 715, 768, 863, 715, 768, 863, 128, 368, 768, 863, 368, 768, 863, 128, 570, 804, 1015, 570, 804, 1015, 128, 570, 695, 1015, 570, 695, 1015, 128, 570, 695, 804, 570, 695, 804, 128, 230, 537, 848, 230, 537, 848, 128, 230, 535, 848, 230, 535, 848, 128, 230, 535, 537, 230, 535, 537, 128, 478, 631, 659, 478, 631, 659, 128, 469, 631, 659, 469, 631, 659, 128, 469, 478, 659, 469, 478, 659, 128, 608, 931, 991, 608, 931, 991, 128, 163, 515, 750, 163, 515, 750, 128, 163, 273, 750, 163, 273, 750, 128, 87, 110, 917, 87, 110, 917, 128, 87, 110, 658, 87, 110, 658, 128, 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648, 948, 550, 648, 948, 128, 550, 596, 948, 550, 596, 948, 128, 550, 596, 648, 550, 596, 648, 128, 563, 702, 802, 563, 702, 802, 128, 563, 702, 745, 563, 702, 745, 128, 161, 440, 516, 161, 440, 516, 128, 630, 874, 931, 630, 874, 931, 128, 616, 659, 975, 616, 659, 975, 128, 576, 659, 975, 576, 659, 975, 128, 576, 616, 975, 576, 616, 975, 128, 603, 914, 928, 603, 914, 928, 128, 603, 719, 928, 603, 719, 928, 128, 603, 719, 914, 603, 719, 914, 128, 218, 325, 483, 218, 325, 483, 128, 685, 860, 983, 685, 860, 983, 128, 575, 860, 983, 575, 860, 983, 128, 575, 685, 983, 575, 685, 983, 128, 663, 946, 964, 663, 946, 964, 128, 566, 663, 946, 566, 663, 946, 128, 147, 148, 644, 147, 148, 644, 128, 65, 147, 148, 65, 147, 148, 128, 634, 734, 812, 634, 734, 812, 128, 509, 734, 812, 509, 734, 812, 128, 509, 634, 734, 509, 634, 734, 128, 57, 82, 1019, 57, 82, 1019, 128, 625, 793, 1026, 625, 793, 1026, 128, 625, 670, 793, 625, 670, 793, 128, 427, 436, 717, 427, 436, 717, 128, 659, 792, 975, 659, 792, 975, 128, 576, 792, 975, 576, 792, 975, 128, 576, 659, 792, 576, 659, 792, 128, 556, 656, 802, 556, 656, 802, 128, 553, 661, 812, 553, 661, 812, 128, 173, 328, 586, 173, 328, 586, 128, 26, 27, 111, 26, 27, 111, 128, 263, 323, 536, 263, 323, 536, 128, 182, 323, 536, 182, 323, 536, 128, 574, 679, 723, 574, 679, 723, 128, 550, 679, 723, 550, 679, 723, 128, 550, 574, 679, 550, 574, 679, 128, 595, 742, 821, 595, 742, 821, 128, 376, 595, 821, 376, 595, 821, 128, 578, 706, 707, 578, 706, 707, 128, 169, 636, 932, 169, 636, 932, 128, 111, 398, 1030, 111, 398, 1030, 128, 83, 111, 398, 83, 111, 398, 128, 287, 356, 1034, 287, 356, 1034, 128, 287, 356, 793, 287, 356, 793, 128, 559, 706, 930, 559, 706, 930, 128, 552, 722, 743, 552, 722, 743, 128, 552, 600, 722, 552, 600, 722, 128, 219, 434, 591, 219, 434, 591, 128, 220, 693, 715, 220, 693, 715, 128, 668, 696, 959, 668, 696, 959, 128, 374, 696, 959, 374, 696, 959, 128, 374, 668, 959, 374, 668, 959, 128, 374, 668, 696, 374, 668, 696, 128, 346, 855, 893, 346, 855, 893, 128, 346, 713, 855, 346, 713, 855, 128, 644, 805, 1061, 644, 805, 1061, 128, 461, 805, 1061, 461, 805, 1061, 128, 461, 644, 1061, 461, 644, 1061, 128, 747, 850, 1007, 747, 850, 1007, 128, 747, 850, 912, 747, 850, 912, 128, 271, 600, 919, 271, 600, 919, 128, 583, 911, 1009, 583, 911, 1009, 128, 583, 633, 1009, 583, 633, 1009, 128, 583, 633, 911, 583, 633, 911, 128, 45, 516, 891, 45, 516, 891, 128, 45, 440, 516, 45, 440, 516, 128, 686, 868, 1037, 686, 868, 1037, 128, 595, 686, 1037, 595, 686, 1037, 128, 0, 667, 996, 0, 667, 996, 128, 0, 106, 996, 0, 106, 996, 128, 0, 106, 667, 0, 106, 667, 128, 200, 355, 506, 200, 355, 506, 128, 200, 352, 506, 200, 352, 506, 128, 200, 352, 355, 200, 352, 355, 128, 657, 739, 986, 657, 739, 986, 128, 602, 739, 986, 602, 739, 986, 128, 602, 657, 739, 602, 657, 739, 128, 730, 760, 894, 730, 760, 894, 128, 622, 760, 894, 622, 760, 894, 128, 553, 696, 812, 553, 696, 812, 128, 599, 760, 1011, 599, 760, 1011, 128, 380, 760, 1011, 380, 760, 1011, 128, 380, 599, 1011, 380, 599, 1011, 128, 144, 585, 861, 144, 585, 861, 128, 663, 978, 994, 663, 978, 994, 128, 58, 978, 994, 58, 978, 994, 128, 58, 663, 978, 58, 663, 978, 128, 278, 374, 668, 278, 374, 668, 128, 141, 374, 668, 141, 374, 668, 128, 141, 278, 374, 141, 278, 374, 128, 667, 814, 996, 667, 814, 996, 128, 103, 667, 814, 103, 667, 814, 128, 20, 106, 667, 20, 106, 667, 128, 0, 20, 667, 0, 20, 667, 128, 0, 20, 106, 0, 20, 106, 128, 779, 789, 960, 779, 789, 960, 128, 638, 707, 776, 638, 707, 776, 128, 592, 707, 776, 592, 707, 776, 128, 180, 722, 764, 180, 722, 764, 128, 180, 451, 764, 180, 451, 764, 128, 339, 429, 698, 339, 429, 698, 128, 80, 429, 698, 80, 429, 698, 128, 80, 339, 429, 80, 339, 429, 128, 63, 93, 826, 63, 93, 826, 128, 63, 93, 400, 63, 93, 400, 128, 843, 895, 1057, 843, 895, 1057, 128, 239, 895, 1057, 239, 895, 1057, 128, 239, 843, 1057, 239, 843, 1057, 128, 239, 843, 895, 239, 843, 895, 128, 573, 744, 938, 573, 744, 938, 128, 573, 659, 938, 573, 659, 938, 128, 611, 689, 754, 611, 689, 754, 128, 413, 611, 754, 413, 611, 754, 128, 391, 619, 750, 391, 619, 750, 128, 163, 619, 750, 163, 619, 750, 128, 163, 391, 750, 163, 391, 750, 128, 163, 391, 619, 163, 391, 619, 128, 338, 592, 750, 338, 592, 750, 128, 338, 592, 706, 338, 592, 706, 128, 819, 946, 955, 819, 946, 955, 128, 671, 946, 955, 671, 946, 955, 128, 671, 819, 955, 671, 819, 955, 128, 671, 819, 946, 671, 819, 946, 128, 58, 819, 955, 58, 819, 955, 128, 58, 819, 832, 58, 819, 832, 128, 330, 358, 709, 330, 358, 709, 128, 225, 358, 709, 225, 358, 709, 128, 225, 330, 709, 225, 330, 709, 128, 225, 330, 358, 225, 330, 358, 128, 65, 644, 1061, 65, 644, 1061, 128, 65, 461, 1061, 65, 461, 1061, 128, 65, 461, 644, 65, 461, 644, 128, 328, 512, 919, 328, 512, 919, 128, 195, 512, 919, 195, 512, 919, 128, 195, 328, 919, 195, 328, 919, 128, 195, 328, 512, 195, 328, 512, 128, 251, 533, 650, 251, 533, 650, 128, 251, 532, 533, 251, 532, 533, 128, 679, 778, 887, 679, 778, 887, 128, 52, 631, 659, 52, 631, 659, 128, 675, 706, 920, 675, 706, 920, 128, 525, 706, 920, 525, 706, 920, 128, 844, 891, 963, 844, 891, 963, 128, 343, 891, 963, 343, 891, 963, 128, 343, 844, 963, 343, 844, 963, 128, 343, 844, 891, 343, 844, 891, 128, 680, 995, 1030, 680, 995, 1030, 128, 57, 995, 1030, 57, 995, 1030, 128, 57, 680, 1030, 57, 680, 1030, 128, 392, 924, 926, 392, 924, 926, 128, 239, 298, 1057, 239, 298, 1057, 128, 47, 298, 1057, 47, 298, 1057, 128, 47, 239, 1057, 47, 239, 1057, 128, 47, 239, 298, 47, 239, 298, 128, 583, 712, 1009, 583, 712, 1009, 128, 206, 252, 595, 206, 252, 595, 128, 206, 252, 379, 206, 252, 379, 128, 768, 848, 1001, 768, 848, 1001, 128, 640, 848, 1001, 640, 848, 1001, 128, 640, 768, 1001, 640, 768, 1001, 128, 640, 768, 848, 640, 768, 848, 128, 599, 674, 760, 599, 674, 760, 128, 626, 666, 1045, 626, 666, 1045, 128, 20, 345, 835, 20, 345, 835, 128, 19, 20, 835, 19, 20, 835, 128, 19, 20, 345, 19, 20, 345, 128, 94, 623, 658, 94, 623, 658, 128, 489, 692, 721, 489, 692, 721, 128, 514, 811, 973, 514, 811, 973, 128, 387, 811, 973, 387, 811, 973, 128, 387, 514, 811, 387, 514, 811, 128, 522, 861, 959, 522, 861, 959, 128, 308, 522, 959, 308, 522, 959, 128, 65, 892, 1061, 65, 892, 1061, 128, 474, 748, 1036, 474, 748, 1036, 128, 261, 748, 1036, 261, 748, 1036, 128, 400, 524, 621, 400, 524, 621, 128, 254, 524, 621, 254, 524, 621, 128, 254, 400, 524, 254, 400, 524, 128, 660, 701, 853, 660, 701, 853, 128, 593, 701, 853, 593, 701, 853, 128, 593, 660, 701, 593, 660, 701, 128, 513, 875, 929, 513, 875, 929, 128, 574, 756, 787, 574, 756, 787, 128, 574, 677, 756, 574, 677, 756, 128, 237, 401, 848, 237, 401, 848, 128, 237, 401, 534, 237, 401, 534, 128, 46, 583, 845, 46, 583, 845, 128, 46, 264, 845, 46, 264, 845, 128, 755, 795, 878, 755, 795, 878, 128, 300, 795, 878, 300, 795, 878, 128, 300, 755, 878, 300, 755, 878, 128, 300, 755, 795, 300, 755, 795, 128, 639, 741, 982, 639, 741, 982, 128, 599, 741, 982, 599, 741, 982, 128, 879, 1009, 1033, 879, 1009, 1033, 128, 629, 1009, 1033, 629, 1009, 1033, 128, 629, 879, 1033, 629, 879, 1033, 128, 768, 863, 1001, 768, 863, 1001, 128, 640, 768, 863, 640, 768, 863, 128, 210, 427, 436, 210, 427, 436, 128, 234, 420, 773, 234, 420, 773, 128, 234, 420, 455, 234, 420, 455, 128, 412, 844, 891, 412, 844, 891, 128, 343, 412, 891, 343, 412, 891, 128, 291, 373, 679, 291, 373, 679, 128, 205, 373, 679, 205, 373, 679, 128, 205, 291, 679, 205, 291, 679, 128, 205, 291, 373, 205, 291, 373, 128, 165, 414, 856, 165, 414, 856, 128, 165, 414, 416, 165, 414, 416, 128, 206, 329, 923, 206, 329, 923, 128, 206, 329, 821, 206, 329, 821, 128, 384, 808, 872, 384, 808, 872, 128, 144, 384, 872, 144, 384, 872, 128, 157, 348, 792, 157, 348, 792, 128, 157, 348, 469, 157, 348, 469, 128, 617, 942, 943, 617, 942, 943, 128, 290, 942, 943, 290, 942, 943, 128, 290, 617, 943, 290, 617, 943, 128, 290, 617, 942, 290, 617, 942, 128, 753, 937, 1028, 753, 937, 1028, 128, 198, 793, 880, 198, 793, 880, 128, 551, 589, 715, 551, 589, 715, 128, 551, 589, 682, 551, 589, 682, 128, 644, 807, 913, 644, 807, 913, 128, 572, 807, 913, 572, 807, 913, 128, 572, 644, 807, 572, 644, 807, 128, 292, 714, 988, 292, 714, 988, 128, 55, 292, 714, 55, 292, 714, 128, 542, 602, 905, 542, 602, 905, 128, 542, 602, 739, 542, 602, 739, 128, 420, 531, 773, 420, 531, 773, 128, 164, 420, 531, 164, 420, 531, 128, 177, 497, 498, 177, 497, 498, 128, 73, 460, 688, 73, 460, 688, 128, 73, 123, 460, 73, 123, 460, 128, 578, 592, 707, 578, 592, 707, 128, 578, 592, 706, 578, 592, 706, 128, 274, 338, 592, 274, 338, 592, 128, 49, 338, 592, 49, 338, 592, 128, 49, 274, 338, 49, 274, 338, 128, 365, 850, 1007, 365, 850, 1007, 128, 288, 850, 1007, 288, 850, 1007, 128, 288, 365, 1007, 288, 365, 1007, 128, 288, 365, 850, 288, 365, 850, 128, 255, 454, 991, 255, 454, 991, 128, 671, 761, 946, 671, 761, 946, 128, 85, 671, 946, 85, 671, 946, 128, 85, 671, 761, 85, 671, 761, 128, 361, 782, 865, 361, 782, 865, 128, 361, 652, 865, 361, 652, 865, 128, 98, 339, 698, 98, 339, 698, 128, 60, 98, 698, 60, 98, 698, 128, 60, 98, 339, 60, 98, 339, 128, 67, 166, 168, 67, 166, 168, 128, 702, 745, 1018, 702, 745, 1018, 128, 563, 702, 1018, 563, 702, 1018, 128, 397, 685, 983, 397, 685, 983, 128, 81, 685, 983, 81, 685, 983, 128, 81, 397, 983, 81, 397, 983, 128, 241, 399, 494, 241, 399, 494, 128, 595, 923, 1037, 595, 923, 1037, 128, 273, 619, 750, 273, 619, 750, 128, 273, 391, 750, 273, 391, 750, 128, 677, 756, 945, 677, 756, 945, 128, 660, 823, 925, 660, 823, 925, 128, 177, 335, 371, 177, 335, 371, 128, 76, 122, 1045, 76, 122, 1045, 128, 76, 102, 122, 76, 102, 122, 128, 761, 946, 983, 761, 946, 983, 128, 114, 761, 983, 114, 761, 983, 128, 49, 338, 706, 49, 338, 706, 128, 528, 636, 932, 528, 636, 932, 128, 557, 870, 980, 557, 870, 980, 128, 557, 710, 980, 557, 710, 980, 128, 557, 710, 870, 557, 710, 870, 128, 616, 965, 975, 616, 965, 975, 128, 330, 613, 732, 330, 613, 732, 128, 184, 330, 732, 184, 330, 732, 128, 184, 330, 613, 184, 330, 613, 128, 597, 683, 1018, 597, 683, 1018, 128, 597, 683, 798, 597, 683, 798, 128, 362, 744, 796, 362, 744, 796, 128, 139, 744, 796, 139, 744, 796, 128, 139, 362, 744, 139, 362, 744, 128, 0, 95, 667, 0, 95, 667, 128, 0, 20, 95, 0, 20, 95, 128, 227, 725, 781, 227, 725, 781, 128, 227, 334, 781, 227, 334, 781, 128, 262, 417, 686, 262, 417, 686, 128, 262, 417, 477, 262, 417, 477, 128, 572, 644, 1039, 572, 644, 1039, 128, 462, 478, 758, 462, 478, 758, 128, 76, 478, 758, 76, 478, 758, 128, 76, 462, 478, 76, 462, 478, 128, 530, 613, 709, 530, 613, 709, 128, 330, 613, 709, 330, 613, 709, 128, 431, 756, 945, 431, 756, 945, 128, 723, 965, 989, 723, 965, 989, 128, 574, 965, 989, 574, 965, 989, 128, 574, 723, 989, 574, 723, 989, 128, 209, 310, 360, 209, 310, 360, 128, 160, 479, 620, 160, 479, 620, 128, 409, 587, 865, 409, 587, 865, 128, 213, 409, 865, 213, 409, 865, 128, 213, 409, 587, 213, 409, 587, 128, 641, 686, 782, 641, 686, 782, 128, 549, 641, 686, 549, 641, 686, 128, 380, 445, 760, 380, 445, 760, 128, 154, 380, 760, 154, 380, 760, 128, 154, 380, 445, 154, 380, 445, 128, 303, 649, 742, 303, 649, 742, 128, 208, 649, 742, 208, 649, 742, 128, 577, 709, 809, 577, 709, 809, 128, 577, 700, 809, 577, 700, 809, 128, 722, 743, 869, 722, 743, 869, 128, 552, 743, 869, 552, 743, 869, 128, 552, 722, 869, 552, 722, 869, 128, 685, 946, 983, 685, 946, 983, 128, 81, 685, 946, 81, 685, 946, 128, 217, 656, 825, 217, 656, 825, 128, 217, 656, 769, 217, 656, 769, 128, 634, 865, 997, 634, 865, 997, 128, 587, 865, 997, 587, 865, 997, 128, 514, 659, 792, 514, 659, 792, 128, 514, 576, 792, 514, 576, 792, 128, 514, 576, 659, 514, 576, 659, 128, 63, 460, 826, 63, 460, 826, 128, 93, 460, 826, 93, 460, 826, 128, 63, 93, 460, 63, 93, 460, 128, 48, 606, 1055, 48, 606, 1055, 128, 48, 510, 1055, 48, 510, 1055, 128, 200, 352, 775, 200, 352, 775, 128, 234, 531, 773, 234, 531, 773, 128, 234, 420, 531, 234, 420, 531, 128, 724, 913, 1014, 724, 913, 1014, 128, 594, 724, 1014, 594, 724, 1014, 128, 594, 724, 913, 594, 724, 913, 128, 409, 587, 810, 409, 587, 810, 128, 556, 802, 914, 556, 802, 914, 128, 588, 734, 903, 588, 734, 903, 128, 588, 634, 734, 588, 634, 734, 128, 756, 787, 897, 756, 787, 897, 128, 584, 756, 897, 584, 756, 897, 128, 197, 808, 1049, 197, 808, 1049, 128, 197, 357, 1049, 197, 357, 1049, 128, 78, 647, 902, 78, 647, 902, 128, 514, 576, 811, 514, 576, 811, 128, 149, 344, 389, 149, 344, 389, 128, 214, 614, 730, 214, 614, 730, 128, 214, 614, 672, 214, 614, 672, 128, 574, 756, 837, 574, 756, 837, 128, 15, 655, 806, 15, 655, 806, 128, 99, 395, 860, 99, 395, 860, 128, 71, 395, 860, 71, 395, 860, 128, 71, 99, 860, 71, 99, 860, 128, 71, 99, 395, 71, 99, 395, 128, 1, 377, 996, 1, 377, 996, 128, 1, 2, 996, 1, 2, 996, 128, 1, 2, 377, 1, 2, 377, 128, 409, 587, 997, 409, 587, 997, 128, 603, 625, 914, 603, 625, 914, 128, 571, 806, 994, 571, 806, 994, 128, 571, 654, 994, 571, 654, 994, 128, 571, 654, 806, 571, 654, 806, 128, 338, 592, 954, 338, 592, 954, 128, 224, 364, 372, 224, 364, 372, 128, 757, 934, 987, 757, 934, 987, 128, 194, 934, 987, 194, 934, 987, 128, 194, 757, 987, 194, 757, 987, 128, 194, 757, 934, 194, 757, 934, 128, 227, 334, 447, 227, 334, 447, 128, 80, 403, 519, 80, 403, 519, 128, 661, 1009, 1033, 661, 1009, 1033, 128, 108, 685, 822, 108, 685, 822, 128, 81, 685, 822, 81, 685, 822, 128, 81, 108, 822, 81, 108, 822, 128, 81, 108, 685, 81, 108, 685, 128, 433, 806, 835, 433, 806, 835, 128, 91, 806, 835, 91, 806, 835, 128, 91, 433, 806, 91, 433, 806, 128, 662, 712, 752, 662, 712, 752, 128, 640, 839, 933, 640, 839, 933, 128, 342, 639, 1016, 342, 639, 1016, 128, 219, 639, 1016, 219, 639, 1016, 128, 219, 342, 1016, 219, 342, 1016, 128, 562, 643, 771, 562, 643, 771, 128, 663, 685, 978, 663, 685, 978, 128, 568, 663, 978, 568, 663, 978, 128, 568, 663, 685, 568, 663, 685, 128, 5, 125, 671, 5, 125, 671, 128, 5, 125, 418, 5, 125, 418, 128, 280, 347, 523, 280, 347, 523, 128, 784, 834, 1022, 784, 834, 1022, 128, 443, 834, 1022, 443, 834, 1022, 128, 443, 784, 1022, 443, 784, 1022, 128, 443, 784, 834, 443, 784, 834, 128, 729, 979, 1009, 729, 979, 1009, 128, 585, 729, 1009, 585, 729, 1009, 128, 585, 729, 979, 585, 729, 979, 128, 676, 834, 1022, 676, 834, 1022, 128, 616, 834, 1022, 616, 834, 1022, 128, 616, 676, 1022, 616, 676, 1022, 128, 233, 492, 1005, 233, 492, 1005, 128, 233, 341, 1005, 233, 341, 1005, 128, 233, 341, 492, 233, 341, 492, 128, 40, 87, 110, 40, 87, 110, 128, 89, 147, 892, 89, 147, 892, 128, 65, 89, 892, 65, 89, 892, 128, 65, 89, 147, 65, 89, 147, 128, 544, 611, 771, 544, 611, 771, 128, 544, 611, 628, 544, 611, 628, 128, 124, 459, 1013, 124, 459, 1013, 128, 94, 459, 1013, 94, 459, 1013, 128, 94, 124, 1013, 94, 124, 1013, 128, 94, 124, 459, 94, 124, 459, 128, 666, 1045, 1059, 666, 1045, 1059, 128, 626, 1045, 1059, 626, 1045, 1059, 128, 626, 666, 1059, 626, 666, 1059, 128, 398, 713, 772, 398, 713, 772, 128, 83, 398, 713, 83, 398, 713, 128, 795, 878, 915, 795, 878, 915, 128, 690, 878, 915, 690, 878, 915, 128, 690, 795, 915, 690, 795, 915, 128, 690, 795, 878, 690, 795, 878, 128, 630, 699, 864, 630, 699, 864, 128, 608, 699, 864, 608, 699, 864, 128, 608, 630, 699, 608, 630, 699, 128, 127, 609, 814, 127, 609, 814, 128, 55, 127, 814, 55, 127, 814, 128, 540, 979, 1009, 540, 979, 1009, 128, 540, 729, 1009, 540, 729, 1009, 128, 540, 729, 979, 540, 729, 979, 128, 394, 651, 1051, 394, 651, 1051, 128, 449, 525, 706, 449, 525, 706, 128, 49, 338, 449, 49, 338, 449, 128, 720, 885, 956, 720, 885, 956, 128, 720, 816, 885, 720, 816, 885, 128, 111, 398, 772, 111, 398, 772, 128, 26, 111, 398, 26, 111, 398, 128, 852, 937, 939, 852, 937, 939, 128, 619, 852, 937, 619, 852, 937, 128, 538, 598, 670, 538, 598, 670, 128, 538, 598, 640, 538, 598, 640, 128, 117, 828, 835, 117, 828, 835, 128, 69, 828, 835, 69, 828, 835, 128, 69, 117, 828, 69, 117, 828, 128, 805, 830, 1061, 805, 830, 1061, 128, 75, 805, 1061, 75, 805, 1061, 128, 75, 805, 830, 75, 805, 830, 128, 657, 909, 1010, 657, 909, 1010, 128, 495, 909, 1010, 495, 909, 1010, 128, 495, 657, 909, 495, 657, 909, 128, 136, 433, 806, 136, 433, 806, 128, 115, 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       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x40b8d10>"
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    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x_vals = model.mesh.coordinates()[:, 0]\n",
      "A_vals = numpy.sum(result.get_species(\"A\", concentration=False), axis=0)\n",
      "B_vals = numpy.sum(result.get_species(\"B\", concentration=False), axis=0)\n",
      "plt.figure(figsize=(12,6), dpi=100)\n",
      "num_bins = 25\n",
      "plt.hist(x_vals, bins=num_bins, weights=B_vals, facecolor='red', alpha=0.5)\n",
      "plt.hist(x_vals, bins=num_bins, weights=A_vals, facecolor='blue', alpha=0.5)\n",
      "plt.legend(['B','A'])\n",
      "plt.xlabel('x-coordinate')\n",
      "plt.ylabel('concentration')\n",
      "plt.title('Concentration binned by x-coordinate')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "<matplotlib.text.Text at 0x40e9d10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HU1NTFRgYKLvdrscee8w5XlJSookTJ8putyskJKTK/DsAQNNRUFCgd955R7/73e8auhUA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\nAwAAACYjdAMAAAAmI3QDAAAAJvt/Yfi4cMPKZ4IAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x40c3d10>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x_vals = model.mesh.coordinates()[:,0]\n",
      "A_vals = result.get_species('A', concentration=True)\n",
      "B_vals = result.get_species('B', concentration=True)\n",
      "for tndx, tval in enumerate(model.tspan):\n",
      "    plt.plot(x_vals, A_vals[tndx,:],'.b', x_vals, B_vals[tndx,:],'.r')\n",
      "    plt.legend(['A','B'])\n",
      "    plt.title('t={0}'.format(tval))\n",
      "    clear_output()\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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IcTgUckIIcTgUckIIcTgUckIIcTgUckIIcTgUckIIcTgUckIIcTgUckIIcTgUckIIcTgU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\nto9s/WpfSGGl4xd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w/zf10weInvP3Qt6/X5OG9nNOs6/eNvnchzHCMC31+sy2J+pjds2x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\ncTgUckIIcTgUckIIcTj/H92pyqZ14jW0AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x40ee590>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "result.display('A',199)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div id=\"12c08786-a732-4540-8278-c0d0ed19979d\" class=\"cell\"></div><script>\n",
        "  renderPyURDMEMesh({\"faces\": [128, 395, 479, 620, 395, 479, 620, 128, 51, 479, 620, 51, 479, 620, 128, 51, 395, 620, 51, 395, 620, 128, 51, 395, 479, 51, 395, 479, 128, 274, 360, 592, 274, 360, 592, 128, 49, 360, 592, 49, 360, 592, 128, 49, 274, 592, 49, 274, 592, 128, 49, 274, 360, 49, 274, 360, 128, 506, 775, 951, 506, 775, 951, 128, 355, 775, 951, 355, 775, 951, 128, 355, 506, 951, 355, 506, 951, 128, 355, 506, 775, 355, 506, 775, 128, 419, 840, 1036, 419, 840, 1036, 128, 59, 840, 1036, 59, 840, 1036, 128, 59, 419, 1036, 59, 419, 1036, 128, 59, 419, 840, 59, 419, 840, 128, 357, 431, 945, 357, 431, 945, 128, 197, 431, 945, 197, 431, 945, 128, 197, 357, 945, 197, 357, 945, 128, 197, 357, 431, 197, 357, 431, 128, 620, 881, 918, 620, 881, 918, 128, 546, 881, 918, 546, 881, 918, 128, 546, 620, 918, 546, 620, 918, 128, 546, 620, 881, 546, 620, 881, 128, 620, 860, 918, 620, 860, 918, 128, 575, 860, 918, 575, 860, 918, 128, 575, 620, 918, 575, 620, 918, 128, 575, 620, 860, 575, 620, 860, 128, 663, 918, 946, 663, 918, 946, 128, 575, 918, 946, 575, 918, 946, 128, 575, 663, 946, 575, 663, 946, 128, 575, 663, 918, 575, 663, 918, 128, 126, 429, 624, 126, 429, 624, 128, 80, 429, 624, 80, 429, 624, 128, 80, 126, 624, 80, 126, 624, 128, 80, 126, 429, 80, 126, 429, 128, 700, 894, 982, 700, 894, 982, 128, 544, 894, 982, 544, 894, 982, 128, 544, 700, 982, 544, 700, 982, 128, 544, 700, 894, 544, 700, 894, 128, 808, 945, 979, 808, 945, 979, 128, 604, 945, 979, 604, 945, 979, 128, 604, 808, 979, 604, 808, 979, 128, 604, 808, 945, 604, 808, 945, 128, 707, 739, 905, 707, 739, 905, 128, 542, 739, 905, 542, 739, 905, 128, 542, 707, 905, 542, 707, 905, 128, 542, 707, 739, 542, 707, 739, 128, 648, 728, 879, 648, 728, 879, 128, 612, 728, 879, 612, 728, 879, 128, 612, 648, 879, 612, 648, 879, 128, 612, 648, 728, 612, 648, 728, 128, 620, 807, 881, 620, 807, 881, 128, 546, 807, 881, 546, 807, 881, 128, 546, 620, 807, 546, 620, 807, 128, 778, 783, 1004, 778, 783, 1004, 128, 584, 783, 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1030, 128, 555, 627, 804, 555, 627, 804, 128, 609, 714, 814, 609, 714, 814, 128, 55, 714, 814, 55, 714, 814, 128, 55, 609, 814, 55, 609, 814, 128, 645, 646, 902, 645, 646, 902, 128, 90, 646, 902, 90, 646, 902, 128, 90, 645, 646, 90, 645, 646, 128, 409, 865, 997, 409, 865, 997, 128, 409, 749, 997, 409, 749, 997, 128, 409, 749, 865, 409, 749, 865, 128, 673, 808, 979, 673, 808, 979, 128, 585, 808, 979, 585, 808, 979, 128, 585, 673, 979, 585, 673, 979, 128, 277, 425, 812, 277, 425, 812, 128, 142, 425, 812, 142, 425, 812, 128, 142, 277, 425, 142, 277, 425, 128, 672, 841, 969, 672, 841, 969, 128, 561, 841, 969, 561, 841, 969, 128, 561, 672, 841, 561, 672, 841, 128, 469, 478, 1056, 469, 478, 1056, 128, 156, 478, 1056, 156, 478, 1056, 128, 156, 469, 1056, 156, 469, 1056, 128, 156, 469, 478, 156, 469, 478, 128, 426, 676, 784, 426, 676, 784, 128, 140, 676, 784, 140, 676, 784, 128, 140, 426, 784, 140, 426, 784, 128, 140, 426, 676, 140, 426, 676, 128, 761, 840, 983, 761, 840, 983, 128, 575, 840, 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163, 375, 748, 128, 163, 261, 375, 163, 261, 375, 128, 67, 168, 726, 67, 168, 726, 128, 67, 147, 726, 67, 147, 726, 128, 67, 147, 168, 67, 147, 168, 128, 836, 885, 956, 836, 885, 956, 128, 246, 885, 956, 246, 885, 956, 128, 246, 836, 956, 246, 836, 956, 128, 601, 736, 809, 601, 736, 809, 128, 601, 618, 809, 601, 618, 809, 128, 601, 618, 736, 601, 618, 736, 128, 257, 949, 1027, 257, 949, 1027, 128, 257, 827, 1027, 257, 827, 1027, 128, 257, 827, 949, 257, 827, 949, 128, 378, 658, 794, 378, 658, 794, 128, 124, 658, 794, 124, 658, 794, 128, 124, 378, 658, 124, 378, 658, 128, 563, 649, 745, 563, 649, 745, 128, 563, 601, 745, 563, 601, 745, 128, 700, 703, 841, 700, 703, 841, 128, 561, 703, 841, 561, 703, 841, 128, 561, 700, 841, 561, 700, 841, 128, 561, 700, 703, 561, 700, 703, 128, 192, 509, 634, 192, 509, 634, 128, 192, 247, 634, 192, 247, 634, 128, 192, 247, 509, 192, 247, 509, 128, 604, 677, 751, 604, 677, 751, 128, 222, 677, 751, 222, 677, 751, 128, 222, 604, 751, 222, 604, 751, 128, 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525, 526, 59, 525, 526, 128, 80, 624, 790, 80, 624, 790, 128, 80, 624, 698, 80, 624, 698, 128, 126, 403, 790, 126, 403, 790, 128, 80, 403, 790, 80, 403, 790, 128, 80, 126, 790, 80, 126, 790, 128, 80, 126, 403, 80, 126, 403, 128, 644, 763, 892, 644, 763, 892, 128, 568, 644, 892, 568, 644, 892, 128, 568, 644, 763, 568, 644, 763, 128, 224, 364, 664, 224, 364, 664, 128, 224, 349, 364, 224, 349, 364, 128, 776, 920, 988, 776, 920, 988, 128, 310, 920, 988, 310, 920, 988, 128, 310, 776, 920, 310, 776, 920, 128, 604, 677, 945, 604, 677, 945, 128, 431, 677, 945, 431, 677, 945, 128, 431, 604, 945, 431, 604, 945, 128, 431, 604, 677, 431, 604, 677, 128, 604, 756, 945, 604, 756, 945, 128, 584, 604, 756, 584, 604, 756, 128, 598, 683, 769, 598, 683, 769, 128, 563, 598, 683, 563, 598, 683, 128, 589, 950, 1044, 589, 950, 1044, 128, 589, 682, 1044, 589, 682, 1044, 128, 589, 682, 950, 589, 682, 950, 128, 542, 937, 939, 542, 937, 939, 128, 77, 125, 826, 77, 125, 826, 128, 77, 125, 400, 77, 125, 400, 128, 263, 304, 721, 263, 304, 721, 128, 201, 304, 721, 201, 304, 721, 128, 201, 263, 721, 201, 263, 721, 128, 201, 263, 304, 201, 263, 304, 128, 716, 772, 871, 716, 772, 871, 128, 68, 772, 871, 68, 772, 871, 128, 68, 716, 871, 68, 716, 871, 128, 68, 716, 772, 68, 716, 772, 128, 645, 646, 800, 645, 646, 800, 128, 626, 645, 800, 626, 645, 800, 128, 626, 800, 976, 626, 800, 976, 128, 573, 800, 976, 573, 800, 976, 128, 573, 626, 976, 573, 626, 976, 128, 573, 626, 800, 573, 626, 800, 128, 742, 755, 1038, 742, 755, 1038, 128, 376, 755, 1038, 376, 755, 1038, 128, 376, 742, 1038, 376, 742, 1038, 128, 379, 595, 652, 379, 595, 652, 128, 206, 595, 652, 206, 595, 652, 128, 206, 379, 652, 206, 379, 652, 128, 206, 379, 595, 206, 379, 595, 128, 316, 618, 736, 316, 618, 736, 128, 200, 618, 736, 200, 618, 736, 128, 200, 316, 736, 200, 316, 736, 128, 200, 316, 618, 200, 316, 618, 128, 596, 662, 774, 596, 662, 774, 128, 366, 662, 774, 366, 662, 774, 128, 366, 596, 774, 366, 596, 774, 128, 366, 596, 662, 366, 596, 662, 128, 96, 104, 767, 96, 104, 767, 128, 96, 104, 627, 96, 104, 627, 128, 17, 433, 806, 17, 433, 806, 128, 16, 433, 806, 16, 433, 806, 128, 16, 17, 433, 16, 17, 433, 128, 794, 846, 936, 794, 846, 936, 128, 570, 846, 936, 570, 846, 936, 128, 318, 517, 845, 318, 517, 845, 128, 519, 520, 630, 519, 520, 630, 128, 60, 520, 630, 60, 520, 630, 128, 60, 519, 630, 60, 519, 630, 128, 60, 519, 520, 60, 519, 520, 128, 271, 337, 847, 271, 337, 847, 128, 180, 337, 847, 180, 337, 847, 128, 180, 271, 847, 180, 271, 847, 128, 180, 271, 337, 180, 271, 337, 128, 373, 608, 679, 373, 608, 679, 128, 615, 672, 857, 615, 672, 857, 128, 612, 637, 783, 612, 637, 783, 128, 584, 612, 637, 584, 612, 637, 128, 720, 821, 923, 720, 821, 923, 128, 329, 821, 923, 329, 821, 923, 128, 329, 720, 923, 329, 720, 923, 128, 155, 472, 708, 155, 472, 708, 128, 155, 250, 708, 155, 250, 708, 128, 155, 250, 472, 155, 250, 472, 128, 574, 723, 965, 574, 723, 965, 128, 14, 438, 655, 14, 438, 655, 128, 14, 89, 438, 14, 89, 438, 128, 731, 868, 968, 731, 868, 968, 128, 569, 868, 968, 569, 868, 968, 128, 569, 731, 968, 569, 731, 968, 128, 569, 731, 868, 569, 731, 868, 128, 416, 643, 856, 416, 643, 856, 128, 165, 643, 856, 165, 643, 856, 128, 165, 416, 856, 165, 416, 856, 128, 165, 416, 643, 165, 416, 643, 128, 682, 757, 968, 682, 757, 968, 128, 569, 682, 757, 569, 682, 757, 128, 598, 933, 1026, 598, 933, 1026, 128, 703, 1020, 1021, 703, 1020, 1021, 128, 272, 1020, 1021, 272, 1020, 1021, 128, 272, 703, 1021, 272, 703, 1021, 128, 272, 703, 1020, 272, 703, 1020, 128, 639, 684, 870, 639, 684, 870, 128, 557, 684, 870, 557, 684, 870, 128, 557, 639, 870, 557, 639, 870, 128, 557, 639, 684, 557, 639, 684, 128, 436, 717, 908, 436, 717, 908, 128, 436, 641, 717, 436, 641, 717, 128, 740, 971, 1029, 740, 971, 1029, 128, 689, 971, 1029, 689, 971, 1029, 128, 689, 740, 971, 689, 740, 971, 128, 573, 758, 1056, 573, 758, 1056, 128, 573, 758, 800, 573, 758, 800, 128, 532, 613, 650, 532, 613, 650, 128, 251, 532, 650, 251, 532, 650, 128, 251, 532, 613, 251, 532, 613, 128, 704, 831, 988, 704, 831, 988, 128, 578, 831, 988, 578, 831, 988, 128, 578, 704, 988, 578, 704, 988, 128, 578, 704, 831, 578, 704, 831, 128, 578, 920, 988, 578, 920, 988, 128, 578, 714, 988, 578, 714, 988, 128, 578, 714, 920, 578, 714, 920, 128, 503, 846, 936, 503, 846, 936, 128, 56, 846, 936, 56, 846, 936, 128, 56, 503, 846, 56, 503, 846, 128, 554, 795, 958, 554, 795, 958, 128, 554, 745, 958, 554, 745, 958, 128, 595, 686, 868, 595, 686, 868, 128, 595, 652, 686, 595, 652, 686, 128, 283, 503, 504, 283, 503, 504, 128, 642, 846, 936, 642, 846, 936, 128, 570, 642, 846, 570, 642, 846, 128, 407, 505, 936, 407, 505, 936, 128, 407, 504, 936, 407, 504, 936, 128, 407, 504, 505, 407, 504, 505, 128, 56, 642, 936, 56, 642, 936, 128, 56, 642, 846, 56, 642, 846, 128, 503, 794, 846, 503, 794, 846, 128, 609, 899, 1014, 609, 899, 1014, 128, 609, 831, 1014, 609, 831, 1014, 128, 609, 831, 899, 609, 831, 899, 128, 407, 642, 936, 407, 642, 936, 128, 56, 407, 936, 56, 407, 936, 128, 56, 407, 642, 56, 407, 642, 128, 18, 433, 806, 18, 433, 806, 128, 17, 18, 806, 17, 18, 806, 128, 551, 849, 1044, 551, 849, 1044, 128, 557, 895, 953, 557, 895, 953, 128, 557, 701, 953, 557, 701, 953, 128, 557, 701, 895, 557, 701, 895, 128, 656, 802, 1026, 656, 802, 1026, 128, 598, 656, 802, 598, 656, 802, 128, 114, 946, 983, 114, 946, 983, 128, 81, 946, 983, 81, 946, 983, 128, 81, 114, 983, 81, 114, 983, 128, 81, 114, 946, 81, 114, 946, 128, 38, 39, 94, 38, 39, 94, 128, 550, 662, 774, 550, 662, 774, 128, 550, 596, 774, 550, 596, 774, 128, 550, 596, 662, 550, 596, 662, 128, 408, 516, 678, 408, 516, 678, 128, 161, 408, 678, 161, 408, 678, 128, 161, 408, 516, 161, 408, 516, 128, 524, 621, 840, 524, 621, 840, 128, 524, 525, 621, 524, 525, 621, 128, 594, 791, 913, 594, 791, 913, 128, 594, 644, 791, 594, 644, 791, 128, 34, 113, 687, 34, 113, 687, 128, 33, 113, 687, 33, 113, 687, 128, 33, 34, 113, 33, 34, 113, 128, 479, 678, 886, 479, 678, 886, 128, 160, 479, 886, 160, 479, 886, 128, 160, 479, 678, 160, 479, 678, 128, 544, 591, 613, 544, 591, 613, 128, 213, 652, 810, 213, 652, 810, 128, 213, 379, 652, 213, 379, 652, 128, 619, 852, 939, 619, 852, 939, 128, 558, 852, 939, 558, 852, 939, 128, 558, 619, 852, 558, 619, 852, 128, 584, 637, 948, 584, 637, 948, 128, 540, 637, 948, 540, 637, 948, 128, 540, 584, 948, 540, 584, 948, 128, 320, 466, 788, 320, 466, 788, 128, 212, 466, 788, 212, 466, 788, 128, 212, 320, 788, 212, 320, 788, 128, 212, 320, 466, 212, 320, 466, 128, 539, 745, 958, 539, 745, 958, 128, 539, 615, 958, 539, 615, 958, 128, 586, 849, 884, 586, 849, 884, 128, 551, 586, 884, 551, 586, 884, 128, 551, 586, 849, 551, 586, 849, 128, 637, 945, 979, 637, 945, 979, 128, 637, 808, 945, 637, 808, 945, 128, 357, 431, 604, 357, 431, 604, 128, 222, 431, 604, 222, 431, 604, 128, 222, 357, 604, 222, 357, 604, 128, 222, 357, 431, 222, 357, 431, 128, 581, 641, 884, 581, 641, 884, 128, 337, 764, 847, 337, 764, 847, 128, 180, 337, 764, 180, 337, 764, 128, 782, 827, 1000, 782, 827, 1000, 128, 746, 827, 1000, 746, 827, 1000, 128, 746, 782, 1000, 746, 782, 1000, 128, 606, 938, 957, 606, 938, 957, 128, 545, 938, 957, 545, 938, 957, 128, 545, 606, 957, 545, 606, 957, 128, 626, 687, 1045, 626, 687, 1045, 128, 547, 687, 1045, 547, 687, 1045, 128, 547, 626, 1045, 547, 626, 1045, 128, 520, 630, 874, 520, 630, 874, 128, 60, 520, 874, 60, 520, 874, 128, 577, 732, 974, 577, 732, 974, 128, 358, 732, 974, 358, 732, 974, 128, 82, 113, 762, 82, 113, 762, 128, 82, 86, 762, 82, 86, 762, 128, 82, 86, 113, 82, 86, 113, 128, 758, 799, 1045, 758, 799, 1045, 128, 547, 799, 1045, 547, 799, 1045, 128, 547, 758, 1045, 547, 758, 1045, 128, 416, 511, 643, 416, 511, 643, 128, 165, 416, 511, 165, 416, 511, 128, 714, 831, 899, 714, 831, 899, 128, 546, 714, 899, 546, 714, 899, 128, 546, 714, 831, 546, 714, 831, 128, 211, 321, 962, 211, 321, 962, 128, 539, 809, 841, 539, 809, 841, 128, 539, 690, 809, 539, 690, 809, 128, 172, 528, 636, 172, 528, 636, 128, 169, 528, 636, 169, 528, 636, 128, 169, 172, 636, 169, 172, 636, 128, 169, 172, 528, 169, 172, 528, 128, 321, 679, 778, 321, 679, 778, 128, 338, 750, 954, 338, 750, 954, 128, 273, 750, 954, 273, 750, 954, 128, 273, 338, 954, 273, 338, 954, 128, 590, 727, 977, 590, 727, 977, 128, 558, 912, 1007, 558, 912, 1007, 128, 558, 689, 1007, 558, 689, 1007, 128, 605, 743, 777, 605, 743, 777, 128, 605, 692, 777, 605, 692, 777, 128, 605, 692, 743, 605, 692, 743, 128, 500, 967, 1016, 500, 967, 1016, 128, 256, 967, 1016, 256, 967, 1016, 128, 256, 500, 967, 256, 500, 967, 128, 472, 708, 1002, 472, 708, 1002, 128, 411, 708, 1002, 411, 708, 1002, 128, 411, 472, 1002, 411, 472, 1002, 128, 610, 618, 851, 610, 618, 851, 128, 654, 763, 813, 654, 763, 813, 128, 571, 763, 813, 571, 763, 813, 128, 571, 654, 813, 571, 654, 813, 128, 571, 654, 763, 571, 654, 763, 128, 690, 841, 915, 690, 841, 915, 128, 615, 841, 915, 615, 841, 915, 128, 615, 690, 915, 615, 690, 915, 128, 615, 690, 841, 615, 690, 841, 128, 447, 632, 781, 447, 632, 781, 128, 334, 447, 781, 334, 447, 781, 128, 334, 447, 632, 334, 447, 632, 128, 547, 623, 762, 547, 623, 762, 128, 394, 998, 1051, 394, 998, 1051, 128, 167, 998, 1051, 167, 998, 1051, 128, 167, 394, 1051, 167, 394, 1051, 128, 167, 394, 998, 167, 394, 998, 128, 187, 481, 776, 187, 481, 776, 128, 187, 360, 776, 187, 360, 776, 128, 187, 360, 481, 187, 360, 481, 128, 199, 365, 669, 199, 365, 669, 128, 199, 231, 365, 199, 231, 365, 128, 562, 613, 773, 562, 613, 773, 128, 616, 744, 1017, 616, 744, 1017, 128, 486, 744, 1017, 486, 744, 1017, 128, 486, 616, 1017, 486, 616, 1017, 128, 486, 616, 744, 486, 616, 744, 128, 711, 731, 868, 711, 731, 868, 128, 569, 711, 868, 569, 711, 868, 128, 695, 804, 1015, 695, 804, 1015, 128, 708, 895, 1002, 708, 895, 1002, 128, 557, 895, 1002, 557, 895, 1002, 128, 557, 708, 1002, 557, 708, 1002, 128, 2, 377, 996, 2, 377, 996, 128, 2, 377, 688, 2, 377, 688, 128, 485, 509, 898, 485, 509, 898, 128, 277, 509, 898, 277, 509, 898, 128, 277, 485, 898, 277, 485, 898, 128, 277, 485, 509, 277, 485, 509, 128, 241, 494, 756, 241, 494, 756, 128, 241, 493, 756, 241, 493, 756, 128, 241, 493, 494, 241, 493, 494, 128, 431, 677, 756, 431, 677, 756, 128, 241, 431, 756, 241, 431, 756, 128, 596, 838, 1047, 596, 838, 1047, 128, 617, 768, 848, 617, 768, 848, 128, 237, 617, 848, 237, 617, 848, 128, 237, 617, 768, 237, 617, 768, 128, 52, 659, 792, 52, 659, 792, 128, 52, 469, 659, 52, 469, 659, 128, 628, 650, 888, 628, 650, 888, 128, 567, 650, 888, 567, 650, 888, 128, 567, 628, 650, 567, 628, 650, 128, 241, 494, 837, 241, 494, 837, 128, 522, 523, 861, 522, 523, 861, 128, 144, 522, 523, 144, 522, 523, 128, 755, 795, 1038, 755, 795, 1038, 128, 742, 795, 1038, 742, 795, 1038, 128, 742, 755, 795, 742, 755, 795, 128, 413, 498, 912, 413, 498, 912, 128, 177, 498, 912, 177, 498, 912, 128, 177, 413, 912, 177, 413, 912, 128, 177, 413, 498, 177, 413, 498, 128, 206, 595, 686, 206, 595, 686, 128, 630, 981, 1015, 630, 981, 1015, 128, 547, 630, 981, 547, 630, 981, 128, 606, 705, 1053, 606, 705, 1053, 128, 510, 606, 705, 510, 606, 705, 128, 459, 936, 1013, 459, 936, 1013, 128, 283, 459, 1013, 283, 459, 1013, 128, 87, 917, 993, 87, 917, 993, 128, 87, 658, 917, 87, 658, 917, 128, 571, 813, 828, 571, 813, 828, 128, 314, 383, 929, 314, 383, 929, 128, 210, 314, 929, 210, 314, 929, 128, 210, 314, 383, 210, 314, 383, 128, 635, 717, 929, 635, 717, 929, 128, 210, 635, 929, 210, 635, 929, 128, 274, 632, 954, 274, 632, 954, 128, 274, 592, 954, 274, 592, 954, 128, 56, 407, 504, 56, 407, 504, 128, 381, 472, 1002, 381, 472, 1002, 128, 155, 472, 1002, 155, 472, 1002, 128, 155, 381, 472, 155, 381, 472, 128, 829, 900, 1042, 829, 900, 1042, 128, 439, 900, 1042, 439, 900, 1042, 128, 447, 681, 781, 447, 681, 781, 128, 187, 447, 781, 187, 447, 781, 128, 187, 447, 681, 187, 447, 681, 128, 58, 759, 946, 58, 759, 946, 128, 58, 759, 822, 58, 759, 822, 128, 544, 591, 870, 544, 591, 870, 128, 710, 853, 986, 710, 853, 986, 128, 557, 710, 853, 557, 710, 853, 128, 60, 520, 521, 60, 520, 521, 128, 220, 435, 715, 220, 435, 715, 128, 220, 368, 435, 220, 368, 435, 128, 669, 852, 1007, 669, 852, 1007, 128, 558, 852, 1007, 558, 852, 1007, 128, 558, 669, 852, 558, 669, 852, 128, 446, 689, 754, 446, 689, 754, 128, 221, 446, 754, 221, 446, 754, 128, 582, 803, 916, 582, 803, 916, 128, 582, 693, 916, 582, 693, 916, 128, 222, 431, 677, 222, 431, 677, 128, 564, 733, 969, 564, 733, 969, 128, 564, 730, 969, 564, 730, 969, 128, 564, 730, 733, 564, 730, 733, 128, 626, 758, 800, 626, 758, 800, 128, 3, 109, 688, 3, 109, 688, 128, 2, 109, 688, 2, 109, 688, 128, 2, 3, 109, 2, 3, 109, 128, 344, 394, 651, 344, 394, 651, 128, 235, 344, 651, 235, 344, 651, 128, 235, 344, 394, 235, 344, 394, 128, 673, 1049, 1050, 673, 1049, 1050, 128, 673, 960, 1049, 673, 960, 1049, 128, 410, 514, 659, 410, 514, 659, 128, 157, 514, 659, 157, 514, 659, 128, 157, 410, 514, 157, 410, 514, 128, 64, 790, 1013, 64, 790, 1013, 128, 64, 699, 1013, 64, 699, 1013, 128, 57, 762, 917, 57, 762, 917, 128, 57, 86, 917, 57, 86, 917, 128, 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730, 760, 622, 730, 760, 128, 242, 730, 760, 242, 730, 760, 128, 242, 622, 730, 242, 622, 730, 128, 690, 745, 809, 690, 745, 809, 128, 601, 745, 809, 601, 745, 809, 128, 601, 690, 809, 601, 690, 809, 128, 510, 527, 606, 510, 527, 606, 128, 302, 527, 606, 302, 527, 606, 128, 302, 510, 527, 302, 510, 527, 128, 56, 502, 846, 56, 502, 846, 128, 56, 132, 502, 56, 132, 502, 128, 894, 971, 1058, 894, 971, 1058, 128, 622, 894, 1058, 622, 894, 1058, 128, 59, 405, 1036, 59, 405, 1036, 128, 59, 405, 526, 59, 405, 526, 128, 669, 852, 891, 669, 852, 891, 128, 266, 783, 1004, 266, 783, 1004, 128, 266, 301, 1004, 266, 301, 1004, 128, 266, 301, 783, 266, 301, 783, 128, 190, 778, 783, 190, 778, 783, 128, 577, 591, 732, 577, 591, 732, 128, 577, 591, 700, 577, 591, 700, 128, 639, 844, 982, 639, 844, 982, 128, 599, 639, 982, 599, 639, 982, 128, 98, 698, 799, 98, 698, 799, 128, 98, 404, 799, 98, 404, 799, 128, 98, 404, 698, 98, 404, 698, 128, 210, 427, 717, 210, 427, 717, 128, 748, 753, 930, 748, 753, 930, 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1055, 302, 932, 1055, 128, 443, 473, 633, 443, 473, 633, 128, 236, 473, 633, 236, 473, 633, 128, 236, 443, 633, 236, 443, 633, 128, 236, 443, 473, 236, 443, 473, 128, 177, 611, 725, 177, 611, 725, 128, 177, 371, 611, 177, 371, 611, 128, 21, 96, 104, 21, 96, 104, 128, 372, 442, 730, 372, 442, 730, 128, 214, 442, 730, 214, 442, 730, 128, 214, 372, 730, 214, 372, 730, 128, 214, 372, 442, 214, 372, 442, 128, 605, 743, 1040, 605, 743, 1040, 128, 831, 913, 1014, 831, 913, 1014, 128, 546, 831, 913, 546, 831, 913, 128, 66, 462, 800, 66, 462, 800, 128, 40, 110, 658, 40, 110, 658, 128, 39, 40, 658, 39, 40, 658, 128, 39, 40, 110, 39, 40, 110, 128, 656, 851, 880, 656, 851, 880, 128, 243, 851, 880, 243, 851, 880, 128, 601, 736, 1023, 601, 736, 1023, 128, 294, 736, 1023, 294, 736, 1023, 128, 294, 601, 1023, 294, 601, 1023, 128, 294, 601, 736, 294, 601, 736, 128, 601, 974, 1023, 601, 974, 1023, 128, 317, 974, 1023, 317, 974, 1023, 128, 317, 601, 1023, 317, 601, 1023, 128, 131, 601, 1023, 131, 601, 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242, 442, 622, 128, 203, 632, 954, 203, 632, 954, 128, 588, 634, 824, 588, 634, 824, 128, 543, 588, 824, 543, 588, 824, 128, 325, 641, 928, 325, 641, 928, 128, 697, 820, 824, 697, 820, 824, 128, 582, 820, 824, 582, 820, 824, 128, 255, 519, 630, 255, 519, 630, 128, 255, 519, 520, 255, 519, 520, 128, 220, 448, 715, 220, 448, 715, 128, 220, 448, 518, 220, 448, 518, 128, 287, 625, 719, 287, 625, 719, 128, 287, 483, 719, 287, 483, 719, 128, 275, 642, 837, 275, 642, 837, 128, 68, 138, 172, 68, 138, 172, 128, 133, 399, 494, 133, 399, 494, 128, 133, 275, 494, 133, 275, 494, 128, 583, 752, 811, 583, 752, 811, 128, 46, 752, 811, 46, 752, 811, 128, 46, 583, 811, 46, 583, 811, 128, 46, 583, 752, 46, 583, 752, 128, 33, 666, 687, 33, 666, 687, 128, 612, 637, 948, 612, 637, 948, 128, 73, 460, 714, 73, 460, 714, 128, 73, 292, 714, 73, 292, 714, 128, 73, 292, 460, 73, 292, 460, 128, 549, 686, 782, 549, 686, 782, 128, 728, 764, 1031, 728, 764, 1031, 128, 565, 728, 1031, 565, 728, 1031, 128, 408, 516, 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813, 91, 806, 813, 128, 370, 517, 694, 370, 517, 694, 128, 186, 370, 694, 186, 370, 694, 128, 186, 370, 517, 186, 370, 517, 128, 186, 281, 694, 186, 281, 694, 128, 186, 281, 370, 186, 281, 370, 128, 353, 588, 694, 353, 588, 694, 128, 281, 353, 694, 281, 353, 694, 128, 186, 281, 353, 186, 281, 353, 128, 685, 805, 830, 685, 805, 830, 128, 568, 805, 830, 568, 805, 830, 128, 75, 685, 830, 75, 685, 830, 128, 75, 685, 805, 75, 685, 805, 128, 335, 611, 735, 335, 611, 735, 128, 207, 611, 735, 207, 611, 735, 128, 308, 374, 696, 308, 374, 696, 128, 204, 374, 696, 204, 374, 696, 128, 204, 308, 374, 204, 308, 374, 128, 204, 425, 696, 204, 425, 696, 128, 204, 374, 425, 204, 374, 425, 128, 574, 787, 897, 574, 787, 897, 128, 714, 814, 899, 714, 814, 899, 128, 566, 814, 899, 566, 814, 899, 128, 566, 714, 814, 566, 714, 814, 128, 609, 714, 899, 609, 714, 899, 128, 609, 714, 831, 609, 714, 831, 128, 706, 750, 930, 706, 750, 930, 128, 559, 750, 930, 559, 750, 930, 128, 645, 680, 976, 645, 680, 976, 128, 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