From ff1406763cdf002c651b2caaa5f7d9266122e6c5 Mon Sep 17 00:00:00 2001 From: Paul Tirlisan Date: Sun, 6 Feb 2022 14:58:22 +0000 Subject: [PATCH] Normalize dense circuits, add plot with optimal strategy on dense circuits and add new comments in Quimb Benchmark. --- demos/Benchmark quimb.ipynb | 120 +++++++++++++++++++++++------------- 1 file changed, 76 insertions(+), 44 deletions(-) diff --git a/demos/Benchmark quimb.ipynb b/demos/Benchmark quimb.ipynb index f98ee2ad..da215435 100644 --- a/demos/Benchmark quimb.ipynb +++ b/demos/Benchmark quimb.ipynb @@ -42,8 +42,8 @@ " \n", " def __dense_graph(self, qubits, layers_count: int = 10) -> zx.Graph:\n", " g = zx.Graph()\n", - " inputs = [g.add_vertex(zx.VertexType.BOUNDARY, row = 0) for _ in range(qubits)]\n", - " outputs = [g.add_vertex(zx.VertexType.BOUNDARY, row = 3 * layers_count + 1) for _ in range(qubits)]\n", + " inputs = [g.add_vertex(zx.VertexType.BOUNDARY, qubit = i, row = 0) for i in range(qubits)]\n", + " outputs = [g.add_vertex(zx.VertexType.BOUNDARY, qubit = i, row = 4 * layers_count + 1) for i in range(qubits)]\n", "\n", " # This local function adds a new layer having a particular shape;\n", " # we need the previous `qubits` nodes along each line, together with the\n", @@ -51,8 +51,9 @@ " # It returns the new last vertex on each line.\n", " def add_layer(prev, cnt):\n", " # Create the vertices.\n", - " layer = [g.add_vertex(zx.VertexType.Z, \n", - " row = 3 * cnt + (1 if i % 4 < 2 else 2)) for i in range(2 * qubits - 2)]\n", + " layer = [g.add_vertex(zx.VertexType.Z,\n", + " qubit = (i + 1) // 2,\n", + " row = 4 * cnt + (1 if i % 4 < 2 else 2)) for i in range(2 * qubits - 2)]\n", " # Construct the edges between these `2 * qubits - 2` vertices in a zig-zag shape.\n", " H, S = zx.EdgeType.HADAMARD, zx.EdgeType.SIMPLE\n", " for i in range(2 * qubits - 3):\n", @@ -73,20 +74,19 @@ " for i in range(qubits):\n", " g.add_edge(g.edge(prev[i], layer[front_indices[i]]), zx.EdgeType.SIMPLE)\n", "\n", - " # Add two randomised vertices on the first line;\n", + " # Add two randomised red vertices along each wire:\n", " # Their phases are k * pi / 4 and l * pi / 4, where k and l are independent\n", - " # and unformly distributed over {0, 1, ..., 7}.\n", - " [k, l] = [g.add_vertex(zx.VertexType.Z,\n", - " phase = (random.randrange(8)) / 4.,\n", - " row = 3 * cnt + i + 2) for i in range(2)]\n", - " g.add_edge(g.edge(layer[end_indices[0]], k), edgetype = zx.EdgeType.SIMPLE)\n", - " g.add_edge(g.edge(k, l), edgetype = zx.EdgeType.SIMPLE)\n", - "\n", - " # Collect the last vertices along each line; on the first line this is l;\n", - " # on the other lines, they are those corresponding to indices [1..`qubits`) in end_indices.\n", - " end_vertices = [l]\n", - " end_vertices.extend([layer[i] for i in end_indices[1:]])\n", - " return end_vertices\n", + " # and uniformly distributed over {0, 1, ..., 7}.\n", + " prev = []\n", + " for i in range(qubits): \n", + " [k, l] = [g.add_vertex(zx.VertexType.X,\n", + " phase = (random.randrange(8)) / 4.,\n", + " qubit = i,\n", + " row = 4 * cnt + j + 3) for j in range(2)]\n", + " g.add_edge(g.edge(layer[end_indices[i]], k), edgetype = zx.EdgeType.SIMPLE)\n", + " g.add_edge(g.edge(k, l), edgetype = zx.EdgeType.SIMPLE)\n", + " prev.append(l)\n", + " return prev\n", "\n", " # Add all layers whilst updating the prev vertices.\n", " prev = inputs\n", @@ -97,8 +97,8 @@ " for i in range(qubits):\n", " g.add_edge(g.edge(prev[i], outputs[i]), zx.EdgeType.SIMPLE)\n", "\n", - " # Normalize the graph so as to recognize the inputs and outputs\n", - " g.normalize()\n", + " # Set the inputs and outputs\n", + " g.auto_detect_io()\n", " return g" ] }, @@ -118,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -370,19 +370,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As with `full_reduce = False`, we got two functions that grow almost the same at the beginning, up to a constant factor, with Quimb having the (much) better constant; then `to_tensor` time increases exponentially due to more frequent spikes which occur because of spiders with many wires.\n", + "As with `full_reduce = False`, we got two functions that grow almost the same at the beginning, up to a constant factor, with Quimb having the better constant; then `to_tensor` time increases exponentially due to more frequent spikes which occur because of spiders with many wires.\n", "\n", "Now we do some experiments with dense graphs:" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -402,17 +402,17 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Both curves increase linearly but, perhaps surprisingly, `to_tensor` has the better constant." + "When the number of qubits is fixed, both curves increase linearly but, perhaps surprisingly, `to_tensor` has the better constant." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n"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\n", 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" ] @@ -425,14 +425,14 @@ ], "source": [ "cb = CircuitBenchmark(n = 5, dense = True, full_reduce = True)\n", - "cb.test(has_qubits = False, fixed_quant = 5, range = range(1, 31))" + "cb.test(has_qubits = False, fixed_quant = 5, range = range(1, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "When `full_reduce` comes into play, the resulting times are negligible, as expected." + "When `full_reduce` comes into play, we can see firm win for `to_quimb_tensor`, which manages to keep a linear increase in time when the depth (number of layers for dense circuits) increases, whereas `to_tensor` increases exponentially. This was to be expected, because `zx.full_reduce` introduces spiders with many wires, and that is the cause for the time explosion in the classical method." ] }, { @@ -442,14 +442,14 @@ "### Comparing different contraction path finder strategies\n", "Now we will look at different contraction strategies that Quimb can use when performing the contraction. It is very important to note that finding the contraction path and actually performing the contraction are done separately and there is a performance trade off between them.\n", "\n", - "We employ some Hyper optimizers, namely **Greedy** (an agglomerative approach), **Betweenness** (community detection) and **KaHyPar** (a divisive approach, i.e. building the contraction tree from the top down), as per [this](https://quantum-journal.org/papers/q-2021-03-15-410/) paper.\n", + "We employ some Hyper optimizers, namely **Greedy** (an agglomerative approach), **KaHyPar** (a divisive approach, i.e. building the contraction tree from the top down), and **Optimal** (an approach that finds the optimal contraction path using dynamic programming) as per [this](https://quantum-journal.org/papers/q-2021-03-15-410/) paper. Unfortunately **Betweenness** (community detection) can't be used because it only works with simple graphs, i.e. without hyperedges, which is not the case here.\n", "\n", "The class `QuimbStrategies` that we use for this benchmark is very similar to the one above, having methods with the same labels." ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -532,12 +532,12 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 46, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -550,7 +550,7 @@ ], "source": [ "qs = QuimbStrategies(1, [\"hyper-greedy\", \"hyper-kahypar\", \"hyper-betweenness\", \"optimal\"])\n", - "qs.test(has_qubits = True, fixed_quant = 20, range = range(2, 16))" + "qs.test(has_qubits = True, fixed_quant = 20, range = range(2, 51))" ] }, { @@ -562,12 +562,12 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -592,12 +592,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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mUFEU5VqY8yxodRq6jW2Cfz13LmZe5OvDX8PpbbRYdj/TUjOvGgSk2Uzar786LI+OvCM4BwQX+FzXPi2flDKxwMfPgDeKW5GUch4wD2xtBOWbTUVRFMcxGHUMeDACgH1x+3j090fJMWXSO/YCgR5B0HnKVdchdDoM9etjzc1F4+RU7nl05B3BLqCJEKKBEMIA3AKsLphACFG7wMchwGEH5kdRFKXCpCflsOb9v0hPykEIwero1dz1y1245GXy9elTBLr4wx1rwD2w5HX89hvxH34IgLFZM4cEAXBgIJBSmoHJwC/YTvBLpJQHhRAzhRCXe1abIoQ4KIT4C5gCTHRUfhRFUSqKxWTl53kHuBidgsVkZe6euUzfOp22vuEsvphIo3b3wj0bwKN2ietI/WEtsVMeIWPTH1hzcx2aX4e2EUgpf5RSNpVSNpJSvmKf9oKUcrX972eklC2klK2klD2llEccmR9HKo9uqK93GzduZNCgQZWdDUW57m1ddpy4mDRuuj0Ur7gfaXxkHbc0G8vH/T/Ha8rf0P9VcPYucfnkpUs5/+STuLRrR70vvnDYncBl1bKLierObDYX2z/R1VgsFrRa7dUTKorynx378yL7N52jYTsTMXtH0OjsfgbUasmA8HtBowen0huGkxZ+xaVXX8X1xm7UnTsXjdHo8DxX9lND1YrFYuGee+6hRYsW9O3bl4MHD9K2bdv8+cePH8//HBISwlNPPUXLli3p0KEDJ06cACA+Pp6RI0fSvn172rdvz9atWwF46aWXmDBhAl26dGHChAmFtpuVlcWYMWMICwtj+PDhdOzYkcsv3bm5ufH444/TqlUrtm/fzqJFi+jQoQOtW7fmvvvuw2KxAPDrr7/SqVMn2rZty+jRo/O7vPj5559p3rw5bdu2ZcWKFYCti4wmTZpw+Qkuq9VK48aNUU90KTWdtEr+WncKN8/zvCIe51WRQvbgOXDvJnALKNM6tN5euPfvT/AHH1RIEIDqGgjmD7zy589PbfPysoqfv/dr2/zMxCvnldHx48d56KGHOHjwIF5eXuzduxdPT0/27dtny9b8+dx555356T09Pdm/fz+TJ0/m0UcfBeCRRx5h6tSp7Nq1i+XLlzNp0j+9bhw6dIj169fzzTffFNruRx99hLe3N4cOHeLll19m9+5/utHOzMykY8eO/PXXX/j6+vLdd9+xdetW9u3bh1ar5euvvyYhIYFZs2axfv169uzZQ2RkJO+88w45OTncc889rFmzht27d3Px4kUANBoNt912G19/bdtn69evp1WrVvj7+5d5XylKtSMlCMi7+QSfNPoIf2cvFgxdjnO7O0FT+p24lJKcY8cA8Bw8mKB330EYHDP2QHFU1VA5atCgAa1btwagXbt2xMTEMGnSJObPn88777zDd999x59//jMWwrhx4/J/T506FbCdVAv2K5SWlpZ/dT5kyBCcnZ2v2O6WLVt45JFHAAgPDyciIiJ/nlarZeRI26hGv/32G7t3787v8yg7O5uAgAB27NjBoUOH8rvQzsvLo1OnThw5coQGDRrQpEkTwNa19rx58wC46667GDp0KI8++ihffPFFoQCnKDWK1Yrcu4iDv/zFii7uLI1ZTo+GN/Laja/jZrh6f0HSauXiyy+Tumw5DVYsx6lJkyt6Mna06hkI7lxb8jyDS+nzXX1Ln18KpwINOlqtluzsbEaOHMmMGTO46aabaNeuHb6+vvlpCn7Zl/+2Wq3s2LEDYzG3hK6urgCsXLmSGTNmAPDZZ5+Vmiej0ZjfLiCl5I477uC1114rlGbNmjX06dPnijuNy3cyxQkODiYwMJANGzbw559/5t8dKEqNs2k2+3/8m83p9+JZ5ziTIibxcJuydR8tzWYuPDed1FWr8Ln7LgyNG1dAhq9UPauGriNGo5F+/frxwAMPXHHV/N133+X/7tTJNgZC3759ef/99/PTFHcyHj58OPv27WPfvn1ERkbSpUsXlixZAtiqj0oa26BXr14sW7aMuLg4AJKSkjh9+jQ33HADW7duzW+nyMzM5NixYzRv3pyYmBiio6MBrggUkyZN4rbbbmP06NGqEVqpmdLOE7X5R7Zk3E1IS18ennAPj7R9pGxBIC+Pc489TuqqVfhNeZiAJ56o8DuBy1QgqADjx49Ho9HQt2/fQtOTk5OJiIjgvffe49133wVsYxlHRUURERFBWFgYn3zyyVXX/+CDDxIfH09YWBjTp0+nRYsWxY5oFhYWxqxZs+jbty8RERH06dOHCxcu4O/vz4IFCxg3bhwRERH51UJGo5F58+YxcOBA2rZtS0BA4cauIUOGkJGRoaqFlBpr0y+PsTZ1EjmGbG66IxSNtuyn1JTvvyf9118JmPY0/g8+WGlBABzYDbWjVMVuqN966y1SU1N5+eWX86eFhIQQFRWFn5/fNa/fYrFgMpkwGo1ER0fTu3dvjh49isHBjU1RUVFMnTqVzZs3O3Q7/9X1flwoVZeUkq8Ofsman7bQI/pWOowPon23ZmVa1pqTg8ZoRFqtZEVF4dqhg4Nza1NZ3VAr2KpxoqOj2bBhg8O2kZWVRc+ePTGZTEgp+eijjxweBGbPns3HH3+s2gaUGsdkNfHKjldYfnw5NzcdSnj9WkR2bXrV5aTFQtKXC0maP5+QZUvRBwZWWBC4GhUIHGzlypXFTo+JiSm3bbi7u1P0LsnRpk2bxrRpVww6pyjVngYNiSmnuKfJaCZ3ml6m9oDcU6e48OxzZO/di1vPngjN9VUrrwKBoihKGZxKPYWLzoVAZ39mHE9m1zk3sprn4uZz5SPdl0kpSVrwJfFz5iCcnKjz+mw8hgyp1PaA4qhAoCiKchXbz2/n8U2PE+EfwScBN7H9ZGfOWSPoepXGYSEEuUcO49q5M7VmvIQ+oGxvF1e06+v+RFEU5Trz3ZHveGD9AwS6BPJ8u6c4u/o7YnI7EDmwMa6eV3YGJy0WEhcsIOfoUQBqvfwydT/68LoNAqACgaIoSrHMVjOv7XyNWTtn0SWoC1/d/BW1D6xh88XBeHhBq171rlgmLyaG0xNuJ27266Sutg2/ojEYrruqoKJUICgnldkN9YIFC5g8eXKZ00+cOJFly5Y5MEeKUvXlmHPYcWEHt4fdztyec3EzuHHwkJFkcz263NISrf6f0+flu4CTQ4eRe+IEtWe/RsATT1Ri7v8d1UZQBf3Xbqgri+r+WqkqpJSc+f0HXJKz0aNjfqPp+LRujzUnh6Tl3+Knd6Nt/SQ89qwlcbcVl3ZtcW7dmpQlS4ib/Tpu3btTa+ZM9IHXbzVQcdQdQTmqrG6oC1q7di2dOnUiISGBTz/9lPbt29OqVStGjhxJVlZWfro//viDzp0707Bhw/y7g9tvv53vv/8+P8348eNZtWoVCxYsYOjQofTo0YMmTZrk93MEMGzYMNq1a0eLFi3yO6SDK7u/VpSq4Mzyr8l68CkSnnuRC889h/k328uS1ksnuPjyLFLemIXXl88T/8brxL35Jpk7dgLgOXIkQXPepe4nH1e5IADV9I7gzp+v7PKgX0g/bml+C9nmbB5c/+AV84c2HsqwxsNIzknmsY2PFZo3v//8Mm33+PHjfPPNN3z66aeMGTOmUDfUrVu3LrEb6oULF/Loo4/yww8/5HdD3bVrV86cOUO/fv04fNg2lPOhQ4fYsmVLsT2Qgu2dhXfeeYcff/wRb29vRowYwT333APA9OnT+fzzz3n44YcBuHDhAlu2bOHIkSMMGTKEUaNGcffdd/Puu+8ybNgwUlNT2bZtG19++SWLFi3izz//5MCBA7i4uNC+fXsGDhxIZGQkX3zxBT4+PmRnZ9O+fXtGjhyJr69vfvfXb7/9dpn2naI4gtUqEYIy1dGbkpJImP0G54M0hL0/j3qeIWjc3QFI+e0LDvaeSo97u+NTvxZotQghEHrbIDMagwGP/v0dWhZHqpaBoLJUVjfUABs2bCAqKopff/0VDw8PAA4cOMD06dNJSUkhIyODfv365acfNmwYGo2GsLAwLl26BED37t3z+y1avnw5I0eOzK+C6tOnT37PqSNGjGDLli1ERkYyd+7c/Jfmzp49y/Hjx/H19S3U/bWiVAYpJd+/s4e8HAv9JrXAu5Zrqel/O7iKbE8T1ifvpVFYl3/WE7ubLfvqkSrq496wIVq30kcYq4qqZSAo7QreWedc6nxvo3eZ7wCKqsxuqBs1asTJkyc5duwYkZG27kQmTpzI999/T6tWrViwYAEbN24sNq8F+5u6/fbbWbRoEd9++y3z5/+zH4peUQkh2LhxI+vXr2f79u24uLjQo0cPcnJygMLdXytKZcjJMJGTYSI1Lpslr0XRY1xTmt1Q/GDxidmJzDr3OSGPteXLvlP+mSElp75byLm8oXQbWQ9jNQwCoNoIHK4iuqEGqF+/PsuXL+f222/n4MGDAKSnp1O7dm1MJlOZ+wSaOHEic+bMAWy9lV62bt06kpKSyM7O5vvvv6dLly6kpqbi7e2Ni4sLR44cYceOHWXbKYpSAZzdDYx7sSO3zepEQD131i84zI5V0Veks2ZmEv/Gm4RIX2Z0mYm2wGhilkO/sPVkR3y88gi/qWFFZr9CqUBQARzdDfVlzZs35+uvv2b06NFER0fz8ssv07FjR7p06ULz5s3LtI7AwEBCQ0OvCFodOnRg5MiRREREMHLkSCIjI+nfvz9ms5nQ0FCmTZvGDTfcUOa8KoojmfIsmHItCCFw9zEy9NHWtB8YQsPWVw6nGj/3feQ3q/hfk+dp5NWo0LxDe3NIs9Si64S2/6qL6apGdUNdARzdDXV5ysrKomXLluzZsyd/TIMFCxYQFRXFBx98UMm5+3eu9+NCcZz9G2PZseok417oiJv3lW//bl12HK9AFwKdzxA34W7cx4wieMbMK9JZzFZi/oqnUbvAisi2Q6luqCtRRXRDXV7Wr1/P3XffzdSpU4sd2EZRqgIpJQc3n8PT37nYIGAxW0k8n8m+9WfxTv+bIA8nrHcNIrhgorxMLId+QhsxoloEgatRdwRKtaWOi5rp4slUlr+xmx7jm9Gi3mlIjYWQruBRJz+NtErWPv85ZxLqg1M2ox7vQUB9j/z5l1Z8wM/r/bn5roYERLavjGKUu9LuCKpvpZeiKDXSwc3n0DtpadIoC74aASvugRPrbTMTo2HNI+Tu+h+LG3xNhvFzXFx9WP3ePvJyzADI9Ets2ajHonPFq0WbSixJxVFVQ4qiVAl5ljzOZ5wnxDOk5DTZZk5ExdG0YyCGXx4FrR5uWwb+9jvD5Bjkge+Z57yS/d6eTKlzmNZO50no8A4Gow6ZmcihBV9xMa8tPYf7YHCuGadIdUegKEqV8FbUW6yOXl1qGoOzjuFPtKVt7Z1wegv0e8VWLeRqf3+ncS9SGrxOv21tmebXlxs6PoqxVjB1W9paCA4tWcvGg23x90wltE8rRxfpulEzwp2iKFVaWl4ay44t4+YGNwOw5dwWAlwCaOp95VjBAfU94MhxaHQTtCncL1fuxQvEvfU2xvBwbh3wFhR5UdK/VSvqnYul49gbEJrru+vo8uTQOwIhRH8hxFEhxAkhRIkD3AohRgohpBCi2IaMqqAqdUMN8OqrrzooN4pS/lYeX4nJamJC2AQsVgtv7HqDcT+MY9GhRVilFYCLp1L5beFhMlNzbXcCty4pdKKXUrLryXvIy83C98Xniu1/KKBtKwZPH0hAk+LfQK6uHBYIhBBa4EPgZiAMGCeECCsmnTvwCLDTUXmpbsxm8zWvQwUCpaqwWC18c+Qb2gW2o7lPc7QaLfP7zadznc68vut1Hlj/APFZ8RzcdI7oqPPok/bbFtQW7g4i+vtF+O6KZvfgJrg1aFwJJbl+OfKOoANwQkp5UkqZB3wLDC0m3cvA60COA/NSISqzG+qzZ88W2030okWL6NChA61bt+a+++7DYrEwbdo0srOzad26NePHj+fNN99k7ty5AEydOpWbbroJsHVkN378eAB+/fVXOnXqRNu2bRk9enR+R3i7d++me/futGvXjn79+nHhwgUAevTowdNPP02HDh1o2rQpmzfbuvNdsGABI0aMoH///jRp0oSnnnoqP68lbWPatGmEhYURERHBE/bBPpYuXUp4eDitWrXixhtvvKbvTbm+bYzdyLmMc4wPHZ8/zdfZl7k3zeX5G55nz6U9jF1+K8eiLtLU6XcMm16CIo/FW6wWYj55j9O1tAx8puxv69cYUkqH/ACjgM8KfJ4AfFAkTVtguf3vjUBkCeu6F4gCourVqyeLOnToUKHPMbdNuOIn8euvpZRSWrKyip2fvHyFlFJKU1LSFfPK4tSpU1Kr1cq9e/dKKaUcPXq0/Oqrr2SPHj3ypz3zzDNy7ty5Ukop69evL2fNmiWllPLLL7+UAwcOlFJKOW7cOLl582YppZSnT5+WzZs3l1JK+eKLL8q2bdvKrKysK7Y9f/58WatWLZmQkCCzsrJkixYt5K5du+ShQ4fkoEGDZF5enpRSygceeEB++eWXUkopXV1d85ffvn27HDVqlJRSyq5du8r27dvLvLw8+dJLL8lPPvlExsfHy27dusmMjAwppZSzZ8+WM2bMkHl5ebJTp04yLi5OSinlt99+K++8804ppZTdu3eXjz32mJRSyrVr18pevXrl57VBgwYyJSVFZmdny3r16skzZ86UuI2EhATZtGlTabVapZRSJicnSymlDA8Pl7GxsYWmFVX0uFCqpjOpZ+Sc3XOkyWIqdn50SrT8cOE38oP7fpNxz7eX1rhjV6T57sh3st28FnLNH585OrvXLSBKlnC+rrTGYiGEBngHmHi1tFLKecA8sL1Q5tic/XeV2Q11cd1E63Q6du/eTfv2thdisrOzCShmAO127dqxe/du0tLScHJyom3btkRFRbF582bmzp3Ljh07OHToEF262LrmzcvLo1OnThw9epQDBw7Qp08fwHZHVLv2P3WrI0aMKLQvLuvVq1f+m8thYWGcPn2alJSUYrfh6emJ0Wjk7rvvZtCgQQwaNAiALl26MHHiRMaMGZO/HaV6CvYI5pG2j5Q4v4FHA7wPn0CnP05qjwHcv30aMzrPINzP1maXdTKar/fNp039TgzseldFZbtKcWQgOAeF3tqua592mTsQDmy0N9rUAlYLIYZIKQu/Ovwv1f9qYYnzNM7Opc7XeXuXOr80ldkNdXHdREspueOOO3jttddKzbder6dBgwYsWLCAzp07ExERwe+//86JEycIDQ0lOjqaPn368M033xRabv/+/bRo0aLEEcgu7w+tVluoXaPofjKbzUgpi90GwJ9//slvv/3GsmXL+OCDD9iwYQOffPIJO3fuZO3atfmBrOC+Va5/ucePY2jYEFFKd+VLji6hiXcT2gSU/GKXJTWeuuaNBAalkRF2J6mbtzDhxwk80PoB7mw8nvP3P8i79eviOmfWdT+IfGVxZBvBLqCJEKKBEMIA3ALkPwQspUyVUvpJKUOklCHADuCag8D1pqK6oS6um+hevXqxbNky4uLiAEhKSuL06dOA7eRvMpny19mtWzfeeustbrzxRrp168Ynn3xCmzZtEEJwww03sHXr1vx2jMzMTI4dO0azZs2Ij4/PDwQmkym/C+x/q6RtZGRkkJqayoABA3j33Xf566+/AIiOjqZjx47MnDkTf39/zp49+5+2q1SO5G+/5eTgIZy+4w7M8fHFp8lJ5o1db7Amek2p69K5e9NtkDdN73yQ1rXasXzIcnrX780Hu+fy+f03YjpzhsC77yHQtfr3GfRfOSwQSCnNwGTgF+AwsERKeVAIMVMIMcRR270eVUQ31MV1Ex0WFsasWbPo27cvERER9OnTJ78x99577yUiIiK/Mbhbt25cuHCBTp06ERgYiNFopFu3bgD4+/uzYMECxo0bR0REBJ06deLIkSMYDAaWLVvG008/TatWrWjdujXbtm37T/uopG2kp6czaNAgIiIi6Nq1K++88w4ATz75JC1btiQ8PJzOnTvTqlXNefmnqsvas4eLr7yKMTwcmZWNxsWl2HTLji0j15JbqJG4qJyMPGJPZCC7PQGBtocSPZ08mVXvQRasCab7n1mcuKkJrqqL9FKpTucqQFXqhro6ud6Pi5rIdCmOU6NGonF2ocHSJWjc3REaDdbsbBI//QzfSXejcXHBZDXRf3l/Gno25NO+nxa/suxk/nrrNbac688tz3fAN8gtf9aZu+4m+8ABPJ56FI8hQ3A1lD5MZU2guqGuRFWpG2pFcTgBxiZNCZj2NNoCXZ1nbttGwscfk/bzzwS98zYbnWKIy4rjhRteKHFV8ufpHLzUgYAgHb5BbuSdPo3G1RWdnx+1Zs5E6PXoA698OEK5kupryMFWrlzJ33//fcWVf0xMjLobUGoUabWiDwig3hefY2xauGsI9169qPfF51jT04kZPQbjit9o5RdBt7rdil/ZifVc2LWbZHMwLXo2ImnhQk4OHUbcm28CYKgbpILAv6ACgaIoDpeybBlnJ92Dxf4odHFcO3Wiwarvce3ShcBPf+Dtg63RiGJOUTlpsPoRDllHoTcIDJ88x6VXX8OlYwf8H3vMgaWovlTVkKIoDpX9999cnDETl/bt0ZTwHsxlOh8f0mY9RK2fu+DetStgu5MQmgIB4e/vsKRe5FxOSwLObMFy7hC1X30Vz+HD1OOh/5G6I1AUxWHMCQnEPjwFXUAAdd5+q9R3BgDis+K57acJLG6RjCEkBCkl5x57nEtvvonMywNARt6N9t513PJcJK0aZ9NwzWq8RgxXQeAaqDsCRVEcQppMxD76KJbUVEK+WYzO2/uqyyw9thSL1cKQRvYnzM1mtF6eJH3+BVnbt+Pe/QYy9h0meN6nOOl1NHhLdZ5YHtQdQSWZM2cOWVlZ+Z8HDBhASkrKNa9348aN+d0wKEplMl24gCn2HLVfnomxDI/x5lny+O7od3Sr2436HvUBEHo9tV96iaC575F36gTxH88nWfixaPp2EmLTHV2EGkMFgkpSNBD8+OOPeHl5VV6GFKWcGerVo9HaH/AcPLhM6X+J+YWknCTGN7/yBTKPOhk07HOW4Hs7E991Inl5Es+A4l9EU/49FQjK0TvvvEN4eDjh4eHMmTOHmJgYmjdvzvjx4wkNDWXUqFFkZWUxd+5czp8/T8+ePenZsydge8EsISEhf5mJEyfStGlTxo8fz/r16+nSpQtNmjTJ77Tuzz//pFOnTrRp04bOnTtz9OjRyiy6ouTLPnjQVqdvNqNxLfuLXL+d+Y2Gng3pVKdT4RmJ0bB6Cvqm7dDd/T4n98TTrEMgekPp7Q1K2VXLNoKVb++5YlrjdgG07FEXU56FH97/64r5zTvVJrRzbbIz8vj5fwcKzRv+eNsr0he1e/du5s+fz86dO5FS0rFjR7p3787Ro0f5/PPP6dKlC3fddRcfffQRTzzxBO+88w6///57se8SnDhxgqVLl/LFF1/Qvn17Fi9ezJYtW1i9ejWvvvoq33//Pc2bN2fz5s3odDrWr1/Ps88+y/Lly//FXlKU8mdOTib24YdBgu+kSWVqF7js7e5vE5cVV7jR15QDS+8AjRZGzefIrgQsZistbgxyQO5rLnVHUE62bNnC8OHDcXV1xc3NjREjRrB582aCg4Pzu1a+7bbb2LJly1XX1aBBA1q2bIlGo6FFixb06tULIQQtW7bM7845NTWV0aNHEx4eztSpU/9zZ2+KUl6k2cy5xx7DkpBI3blz/1UQsFgtaDVaarsVM0RkUCQM/x/Ssy4HN58nsIFHoe4klGtXLe8ISruC1xu0pc53djOU6Q6grIrrHvpqCnbTrNFo8j9rNJr87pyff/55evbsycqVK4mJiaFHjx7llmdF+S/i3nmXrO07qP3qqzi3LPv43RczL3Lr2lt5ucvLdAnq8s8MKUFvhMFzbJ+tki6jGqPVq+vX8qb2aDnp1q0b33//PVlZWWRmZrJy5Uq6devGmTNn8rtpXrx4MV3tL8m4u7uTnv7fn3pITU0lKMh2e7xgwYJrzr+iXAvThQskL16M96234jVi+L9a9tsj35KYk0iIZ8g/ExOjYV53iDsMQEJsBggIaelHcHOfcsy5AioQlJu2bdsyceJEOnToQMeOHZk0aRLe3t40a9aMDz/8kNDQUJKTk3nggQcAWzfQ/fv3z28s/reeeuopnnnmGdq0aVMug9kryrXQ165Ng6VLCJz29L9aLsecw7Ljy+gZ3JMgN3u9vykHltwBKWeQBjf++u0sS175k0Nbzjsg5wqobqgdKiYmhkGDBnHgwIGrJ1bK3fV6XFQ3OYcO4RQa+p/e7F1+bDkvbX+JL/p9QftatiFV+WEqRH2BZcwSNu4K5sj2izRo5UfvO8MwGKtlbXaFKK0banVHoCjKf5a1Zy+nRowkdcXKf72slJJFhxfR1LspkYH289P+ZRD1BZltn2TlGl+ObL9I5MAQbr6vpQoCDqT2rAOFhISouwGl2pIWCxdffhldrVp43Nz/P61j+g3TMVvNtrsJKeGvbyH4BpIa3UvyhsP0vzecRm1Vd9KOVm0CgZRSdTql5KtqVZ5VUfJ335F7+DBBc94tcbjJ0gghaBfYruAEknp+jo+3hWAXHya84o3RVV+OOVZKUi2qhoxGI4mJieqfXwFsQSAxMRGj0VjZWam2zElJxM95D5cbbsC9X79/vfwfsX8wa8cs4rLiALDu+JSt3/7NN7N2c/687bSkgkDFqRZ3BHXr1iU2Npb4+PjKzopynTAajdStW7eys1Ft5cXEoHF2ptb05/7VnbiUksVHFvPGrjdo6t0Ug8ZAzp/LWLc4lTN5CbTsUZfABh4OzLlSnGoRCPR6PQ0aNKjsbChKjeHSti2N169D6Mt+1W62mpn952y+O/odPYJ78Hq318k5HsOyhbmkW1rR49YmtLgx2IG5VkpSLaqGFEWpGNJqJXX1aqTZ/K+CAMBL217iu6PfcWeLO5nTYw4uCGKXfUaedGXofSEqCFSianFHoChKxUhdsYIL059HODvj0afPv1r21tBbaRvYlr5+Azl3OIV65+bQ0vI5Te4dgHOrJg7KsVIWKhAoilKsjLwM9Fo9TlpbX1eW1FTi3n4H53btcO/du0zr2Bu3lx3nd/BA6wdo4t6MzO1Gvp67Db2znjuem4I2sAXOrcq2LsVxVCBQFCWf2Wrmx1M/0qd+Hz4/8Dkrjq/glua3MLbZWPLe+xBLaiq1np9epgbiNdFreHHbi9RxrUOXzP7sXRlNRoaGRp4H6PT43Wg9XaHVLRVQKuVqVCBQFCXfprObeG7Lc7jqXOlSpwtHk47y0b6PWLduHi9/k4tu1ECMzZuXug6rtPLhvg+Z9/c8OgS25zl68dNXp/DTnaJPg3XU6T8S/NSjvdcTFQgURcm3+MhiarvWpntwd3QaHZG1IjmZcpI1a+dwuN5v7L4hl9euso7ntz7Pb4f+4Fbn+3mili/67+9jSMMh1B0wAhH2jW2QGeW6ogKBoigAHEs+xp8X/2Rqu6noNP+cGhp6NeSR8XNJHJFIJ0sOACdTTjJt8zQmhE2gf0h/9FrbE0SmjExa7K5HnWPPo9c5YRnWHv04L4Kb9AWNekjxenXVQCCEqAvcAnQD6gDZwAFgLfCTlNLq0BwqilIhvjnyDU5aJ0Y0HpE/zZKRQeKnn+E76W583X3zpyfnJpNryeXZLc8yZ/ccRjQcTMBeM5n7GpJpaULjgFN0euRWjO7O0Oy/9UOkVJxSQ7QQYj7wBZAHvA6MAx4E1gP9gS1CiBtLWb6/EOKoEOKEEGJaMfPvF0LsF0LsE0JsEUKEXUthFEX5b6SUxKTGMLDhQLyMXvnTE97/gMR588iLOV0ofbvAdqwcupKPe39MI/dgFu1ZwYU9LXEx5jBivJZ+M+7Cw9e5gkuh/FeljkcghAiXUpbYfaYQwgDUk1KeKGaeFjgG9AFigV3AOCnloQJpPKSUafa/hwAPSilLvXwobjwCRVGunZSSPGte/uOiucePc3LYcLxGjqT2zBklL3hiPadW3oPs+AENug5AaFTnj9ej0sYjKLVqqLggIITwBoKllH9LKfOAK4KAXQfghJTypH25b4GhQH4guBwE7FwB1WucolQwi9VChikDTyfP/CAgpeTirFfQurnhP/XREpfdsuw4nn7NafnwPjB6VkyGlXJXptYbIcRGIYSHEMIH2AN8KoR49yqLBQFnC3yOtU8ruu6HhBDRwBvAlBK2f68QIkoIEaU6llOU8rUpdhO9l/bmUGL+NRrpP/9M1s6d+E99FJ23d7HL/fXR//hr/VlS47JVEKjiytqM72m/eh8BLJRSdgR6lUcGpJQfSikbAU8D00tIM09KGSmljPT39y+PzSqKYrf4yGI8nTxp6t00f5oxNBTv2yfgNXp0sctEf7uILX83olHtS3QZ1biisqo4SFkDgU4IURsYA/xQxmXOAQV7kaprn1aSb4FhZVy3oijlIDolmp0XdnJL81sKPTJqCAmh1rPPIrRXPvN/4bcfWbfRj1oe8fR+eqRqE6gGyhoIZgK/YKvz3yWEaAgcv8oyu4AmQogG9kblW4DVBRMIIQr2NDWwDOtUFKUcfXPkGwwaAyObjAQga+9ezj7wIObExOIXiN1N/LpvcXdKZ8C0AeiMhgrMreIoZXqhTEq5FFha4PNJYORVljELISZjCyBa4Asp5UEhxEwgSkq5GpgshOgNmIBk4I7/VgxFUf6tbHM2a6LXcHODm/E2emPNzubCtGeQJhPCqYQuIGL+IKLWPkJvfxO9j2oXqC6u9vjodOAjKWVSCfNvAlyklGWtLrpm6vFRRSk/J1NOotfqCXYP5tJrs0n68kvqzf8C106dCqUz5Vr46X/7adevPkH1tWBUo4hVNf/58VFgP7BGCJGD7WmheMAINAFaY3ux7NXyy6qiKBWpoVdDALKiokhauBDvW8ddEQSsuTn8+vK3xCbWI/zGIDAW/xSRUnWV2kYgpVwlpewC3A8cxFbFkwYsAjpIKadKKdXznIpSxWyO3czjGx8nKcd2sx83Zw76oCACHn+8UDppsbD5zQXEJNSjW7csGrZWT+1VR2VtIziOashVlGpj0eFFnEg5gbvBHYDgDz7AdCkOjatroXR7P1nAgdimtA6No+WtauyA6kp1B6goNczJ1JNsO7+NMU3HIM9dRJpMaL28MDZrWiid3DWfhONnaFw7ls6Tx1RSbpWKoLqhVpTqzpQDQoDWAELwzeFv0Gv0jKg7gDNj78IYHk7dOYU7CpBWKyJ6PX3a5WId8xxCq64ZqzMVCBSlOovZCl+PBlMmaHRkOLmyOtCT/o0GY/lwPqZzsdS5SQdL7gCDGxadK7HZoUSdakmfOz7Bw1uD1qDeFajuyhQIhBBNgY+BQClluBAiAhgipZzl0NwpinJtUmPBOwTCR0BeJpbcVMbnnKF3VgTJi2fg070RBp9sTp6Akyl1icloQa7VDVfPHNDqwKC6kq4JSn2PID+REJuAJ4H/SSnb2KcdkFKGOzh/V1DvESjVgTSbSV29BmPzZmT//TfetziwIdZqLTQ6mCUjg6PDxmA2ehG+7Aty8jTMf3oLTs46Qlr60bC1P8EtfNAb1JCS1cm1vEdwmYuU8k8hCvUpYr7mnClKDZUVFcWFZ59FHxSE6dw5nJo2xaVt2/LbQGosnN4GLUfnB4Fd0Xs5+3cK4ogTFxo9Rp1gAxFGIy5GGPV0JH7BbmhVW0CNVNZAkCCEaIR9vAAhxCjggsNypSjVXNrPPyOcnQlZ8h2nRo/mwgsv0HDFCsR/rI/PyzGTnW7ClGsmL8eCad2H5J09ROP6XRCeQfz+1WEObU0GwDNQ0LpfCI3bBeQvHxii3hSuycoaCB4C5gHNhRDngFPAbQ7LlaJUY9JsJn3detx6dEfn60utF14g9v4HSPziC/zuv7/k5aRk69ITxB5NIi/HQl6OmdtmdMLopmfPz6fZ/XPB4ST7AH0Ica6FHjAEW9hdew3DU/MY8OQbaN1cS9iKUhOV9YWyk0BvIYQroJFSpjs2W4pSfWVFRWFJTMSj/80AuPfogXv//iR89DHu/frh1KBBscudPZzEXxvOUqeJF3513dEbtWCvrW3Yxh/PABcMeiuGdY+h1+RiGD8frc5W1bPZ5QciD62j8X5J3p0ncW7ZskLKqlQNZX1qyAu4HQjBNjYBAFLKYkcUUxSlZNl79yJcXHC7sVv+tMBnn0Hn74/O17fE5Y5sv4ibjxNDprRGqy9clx9Q34OA+h6w6U3I+xkmrIRgW59AmaZMTv60lKl/WfC9914VBJQrlPWpoW3ADmyd0FkvT5dSfum4rBVPPTWkVAfmpCR0Pj7/ahmrxUpaYg5eAS4lJzryI5z6A26enT/p8KldpIy5E0+/2jRftRaNei+gRiqPp4aMUsrHyjFPilKjlRQEco4c4dKrrxH07jv5dwdSSsx5VvRO2tKDAEDzAbYfINeSS3JOMl7zf4AsCHlzjgoCSrHKGgi+EkLcg22YytzLE0sap0BRlOJdev0NLMnJ1Jn9WrHzhV5P1t69XJr9OkFvvgFAzP5ENiw8zLCpbXDyh1Opp0jOTSYpJ4nknGTGNhuLy6nNfH9sBUtIJSk3heScZLLMWQBsvWslzm3a4BzeosLKqVQtZQ0EecCbwHPYHyG1/27oiEwpSnVke4lsNS4d2peYxqlRI/zuvZeEDz/Ec8gQXLt24c81JzE467B4ZjP4+zEkZCcUWqZnrU6E/PgEWmcDbg3aEuxRH1+dF823xZI78EYMdetiDFEDzCslK2sgeBxoLKVMuGpKRVGKlf+0UL/+pabzve9e0n78kYsvvYR4dQEJZzPoNTGUNFMqvkZfnmr/FHXc6uBj9MHH6IPLH+9AyhkGD/2BwQ26YcnI5Nyjj5K5ZQvB7cdgDC1h2ElFsStrIDgBZDkyI4pS3V1+icyt+42lptMYDNSeOYOYCXew99v9eAV607R9IBqthqWDl1LoDf/EaNg2F1qOgQbdMF26xNn77if3+HFqz3oZt+7dHVwqpToo6/vkmcA+IcT/hBBzL/84MmOKUp1Is5n0X9fh1qM7Guerd+Tm0r49+pkfkZLtRL0eLrwe9TrZ5myKdPMCPz0NOiP0nUXO0WPEjL0F05kzBH/yCV6jRjmoNEp1U9Y7gu/tP4qi/AcyNxevsWNwiSz26b1iNRnTA2OrBJ7ddz9nzZe4J+IenHVFgkjPZyDlDLgHYs06jzAYqP/1IoyhoeVcAqU6K+ubxRX+voCiVCcaV1cCHnmkzOmtVolGI/jhzP944I2DaCaMxM/Z758EUtoGmwlqR066K0bApU0bGq39AaHXl38BlGqt1KohIcQS++/9Qoi/i/5UTBYVpWqTZjMZmzYh8/LKlN5qlSx9bRdrVmzl43Pfkt2oNl4Lf8J07tw/iX6bgVw1mfj3P+DUsOGkb9wIoIKA8p9crY3g8iXMIGBwMT+KolxFVlQUZ++7n/QNv5cp/YmoSySczeCHuO8J9qhH+zc/BSm5OPNlpJQQdwS5+X0uLDloe8x02DDcOnd2cCmU6qzUqiEp5eWuph+UUj5dcJ4Q4nXg6SuXUhSloLI+LQS2biR2rY3BN8iVZ2+ZTLY1Gw+fRpgemULc7NdJ//lnXE/P5dwfvmReuIjf5Mn4PfTglY3IivIvlPWpoT7FTLu5PDOiKNXRv31a6NiuS6RcyqL9oAbU96pPc5/mAPjcdhvGsDAyVn1F5q49ZMbpqf3qq/hPfkgFAeWaXa2N4AEhxH6gWZH2gVOAaiNQlKvIiorCkpR01ZfIwNan0M610SS5necnuaTQPKHTUe+Lz6nd6jQeHUNp9NOPeI0Y7qhsKzXM1Z4aWgz8BLwGTCswPV31M6QoV5fxx+YyVwtJJDtbLeNUwhn+13jOPzNSzoKLL1ovLxjyPrj6YfCq57A8KzVPqXcEUspUKWWMlHKclPJ0gR8VBBSlDAKeeJwGK5ZftVpISslXh75ic+Zv3NPrNup51LMNOr/rc/joBthk71Y6qC2oIKCUM4eOVC2E6C+EOCqEOCGEmFbM/MeEEIfs1U2/CSHqOzI/ilLRhEZT4ohjBf2+bi8Hvk6hd+2+DG88HJJOwcIhsPYxCGoHkXdVQG6Vmqqsbxb/a0IILfAhtobmWGCXEGK1lPJQgWR7gUgpZZYQ4gHgDWCso/KkKBUp7r33wGQi4IknSk1nMVuJ/i0Vb+HP/d0mIA6vhpX3g9DCoDnQbqLt5TFFcRBH3hF0AE5IKU9KKfOAb4GhBRNIKX+XUl7uzG4HUNeB+VGUCiPNZlK+W4Lp/Pmrpj287QJ5qZLxE/ri4+wD/qHQsCc8tAMi71RBQHE4RwaCIOBsgc+x9mkluRtbw/QVhBD3CiGihBBR8fHx5ZhFRXGMy08LuV/laaGtZ7axadUBAv0zqXf0edtE/6YwbjF4qusipWI4tI2grIQQtwGR2Aa/uYKUcp6UMlJKGenv71+xmVOUMrBarCRfzCQ7Iw8p5T8vkRUYoL6olJwU5i9dBpl62ljeROSmgCmn4jKtKHYOayMAzgHBBT7XtU8rRAjRG9vIZ92llLlF5ytKRZNSluklray0PFw8bGMAr5qzj/PHUwDQ6TUYMsLw69yA5vanhWL+TkBoBG4+Trh7G0kyxzF17XhOeWQx1j+FhqMehohRqhpIqRSODAS7gCZCiAbYAsAtwK0FEwgh2gD/A/pLKeMcmBdFKbO4t97CkpxC7Vkvk7pqNa6dbkBfqxa52WbOHU3m7KEkzhxOIisll7vf6YZOr6XVTcGEdq5NbraZ9ItpJOy8gEv9fx7z3LLsOKlx2fmf87Q5BPr0ZlLoDno9PRvcAiqjqIoCODAQSCnNQojJwC+AFvhCSnlQCDETiJJSrsZWFeQGLLVfgZ2RUg5xVJ4U5Wqy9x8gaf4CvEaOxJSUwoVXZ6PVa8m8/3W27zAhrRK9k5agZt60uikYabUt17BNkSrLWwsPFD/00TZkJGWTcWA7+/Nc2HniKEOad+Om4c+quwCl0gkp5dVTXUciIyNlVFRUZWdDqYakycSpUaMxJydzYdKHHN+XRPebfdDMmUZSXC4ZA++n6a03UauhJ1pd8c1r0mwm5+hRjGFhhaqXspNj2PnD/fSI3g4jP8fcYhg6jSNvyBWlMCHEbillsSMjXReNxYpyPUj8/HNyjx4l9+4XObAtjrrNvfFqVp8GS76jTreW1Pp2OvKjmWi0JV/BZ0VFETNyFBm/b8yfFrtnPhOWD2CqJZZzvZ6DFiNUEFCuK+poVBTAmpVF0sKvcOk/gE3HjPgG6eg7KRyNxnbSr/P22zi3bgMaTakNyWk/2Z4Wcu10AwDb1tzPk/F/IHU65rZ/lqAWt1RIeRTl31CBQFEAjYsLDVYs56/tyaT/coEhj7TODwIAQgh8bp+Q/zl9wwas6el4Dv3nHUlpNpO+bh3uPXugMRqZf2A+7yZto7HRl/cGfEmwV8OKLJKilJmqGlJqvNzoaKSU6GvVIrBZIK1uCiY41KfUZVKWr+D809O4MGMGVvsQlPkvkfnHwbrn0QgN/UP6s2j0LyoIKNc1FQiUGs107hynRo8h/r33AAgO86HrmCZXXa7ue3PwufsuUr75ltMTJmC6cIH0lYtBB4csv4LVyu2hE3j9xtdx0bs4uhiKck1UIFBqLCklF158CQHI7kPYvjKavBxzmZYVOh2BTz5J0Nz3yDsRzanBAzimX8GscRpebhKOue9MxFXaExTleqECgVJjpa1eTeaWLfg/9hh/bknnwB/nsJit/24dncLYMK0Lv0Tk8FBjLywtw/hs4NfqqSClSlFHq1IjmRMSuPTqazi3bUt6636c+eBvOo9sjLObocRlpJScTjvN1vNbae7TnHYad7J08GnOZtqNbMuTIf0Y23wsTlqnCiyJolw7FQiUGsl04SJaLy8CZ87k+8XRePgZiehxZW+fVmll09lNbD2/lS3ntnAuw9Zd1l0eLWj39y80GfkFW27ZotoBlCpNVQ0pNZJzy3Aa/riWkxeMJJ3PpPOIxmj1tn8HKSV7Lu0BQCCY/eds1kSvoYl3E6a3nsKPBDH1r5+g5RhEkz4qCChVnrojUGoUS1oayd98i8+dE9EYDNRq6EmbPvXy+wqSUvL6rtf56dRPrB+1Hr1Wz7y+86jjWgf96a2wfBLkZsDQD6H1eNVPkFItqDsCpUaJe/Mt4t97j7zoaAB8g9zoPLIxQgis0srLO17m68NfM6DBgPwG3/oe9dFr9ZCdAi6+cO/v0OY2FQSUakMFAqXGyNyxg5SlS/G5cyJ5ASGs++IgGcm2ITAsVgsvbH2BpceWMqnlJJ5q/5Tt0c+083B4jW0FLYbB/VsgILTyCqEoDqACgVIjWLOzufD8C+jr18N/8mR2rIzm5N54Lve+u/jIYlZFr+LB1g8ypc0UWxA4vh4+6QqrH4acNNuKtPpKLIWiOIZqI1BqhPgPPsB09iz1vvySuAt5HI+KI3JACO4+RgDGNhuLv4s//UP629oANs2Gbe9DYDiMmg9Gj0ougaI4jgoESo3gOWgQOh8fXDq056c3duPiYaBFr1q8/ufr3BdxH15GL1sQMGXDRzdA6llodyf0fw30zpWdfUVxKBUIlGrJnJxM2tofydi4keCPP8IYGooxNJTjUZe4dCqNLrc2ZOrWR9h5YSdtAtrQ17kuBIbZTvqdH4Y6bSC4Q2UXQ1EqhAoESrUh8/JI37SJ1O9XkbFpE5jNOIWGYroUh6FuEABBTb1pM7Au72a8xL6Evbzc6mH67vgSjvwAd/4M9TtBx/squSSKUrFUIFCqNCklMjcXjdFI1t59nHt4Clp/P3wmTMBz2FCMzZoVSm825vChdgYHEw7yukdr+q+eBjoj9HoB6rSunEIoSiVTgUCpkkwXLpC6ajWpq1bhdmM3Ap95Bpf2kQR//hmuHTsidIUP7ay0PNbPP0jzgb5k5GXwdoak16nV0GYC3DQd3AIqqSSKUvlUIFCqFNP581yYPp3M7TtASpwj22GMiABAaDS4delS7HJbVx3h3NEkuo1pwvIhy9Ed+RF8GkKt8IrMvqJcl1QgUKqUhHnzyP7rb/weegjPoUMwBAdfdZnjUX9wdGseOT4b8E5MhdojIGxIBeRWUaoGFQiUKqXWc8/hPXYsxtCrv90rc9JZsfANTh5ojVbrRJcbjRA6uAJyqShVi3qzWKkSck+cwJKSgtDryxQEErITmPptL36PNSJ1uXS/059O/V9QbwYrSjHUHYFy3bNmZnL2oYfQ+fhSf/HXpQ7/KBNjOPS3hNpW9hi03NHDwm1dR+FkKHnAGUWp6VQgUK57F197DdPZWOq88krJQcCcx/G17/HrJnfIakrL7kH8PPo3NVaAopSBCgTKdS3t119JXbYc3/vuwyUystg05hN/sHjRD6Rc6oVZk0e7QTq6DWyqBo5XlDJSgUC5bpkuXeLi8y9gDA/Hf/JDxaa58PssPthymjoXx5FS6yjj7ulHk6CGFZxTRanaHNpYLIToL4Q4KoQ4IYSYVsz8G4UQe4QQZiHEKEfmRal6hFaLS4cO1HnzDYS+QCOv1UpeaiqXzqRyX+Jmfgveg/vQOKa/eJ8KAoryH4jL/bGX+4qF0ALHgD5ALLALGCelPFQgTQjgATwBrJZSLrvaeiMjI2VUVJRD8qxUAfHHiFrwDgdiByFcvWkx2Ugt90Dqul858LyiKP8QQuyWUhZbv+rIqqEOwAkp5Ul7Jr4FhgL5gUBKGWOfZ3VgPpQqJufoUeLeeJPar76CPjDQNlFKMjYvYPGaOEzpYxAeKYy8pyWBddQ4AYpyrRwZCIKAswU+xwIdHbg9pRqw5uZy/oknMScn/1MdlJXEgW+msn7vCDSWIOKb7+X+O8cR6KmCgKKUhyrRWCyEuBe4F6BevXqVnBvFkeLefpvc48cJ/nQeOh8fLBYra6JXM1Ozm84BIfTsG8nDHR9TTwQpSjlyZCA4BxTsCKaufdq/JqWcB8wDWxvBtWdNuR5lbNlK8sKv8L7tNlxvaM/hr7/lz4PBhN/Zll4hfXj6lofxc/ar7GwqSrXjyECwC2gihGiALQDcAtzqwO0pVZiUkoSPPsKpSWN0w/rywfTP0aSGUjsol8ZebXmzybuVnUVFqbYc9violNIMTAZ+AQ4DS6SUB4UQM4UQQwCEEO2FELHAaOB/QoiDjsqPcn0TQhD8v0841rs3iz6Ow5LeiPTwXQx5tjue/mrMYEVxJIe2EUgpfwR+LDLthQJ/78JWZaQ4kMlqQid01229etaevVib1ue9H2/jQmJn/F3PceOYuvSMfLqys6YoNUKVaCxWrs3H+z5mb9xe5vWZh8lquq7638k5eZJtz3yGT5s6/BAez9DWR3j45kdwdXav7KwpSo2huqGu5i5mXmThoYUEugZyIPEAN6+4mT2X9lR2tpBS8ufi5Sx56TeONhhJWtOB/DjqV6aNWKSCgKJUMHVHUM29v/d9pJRMaTMFZ50zHgYPJm+YzML+C2ns3bhS8rRpxQpOrE4lx1gfvU5Dc7+NdJ/4EkKjrksUpTKo/7xq7HDiYdZEr2F82HjquNXB2+jNJ30+wag1cv/6+7mYebHC8mLOM3P2YBR3Lb2Zzw7/jknjgpduFUOf8qPXrJkqCChKJVJ3BNXY/IPz8XTyZFLLSfnTgtyC+Lj3x0z8eSL3r7ufhQMW4mFw3Bu6WanpbHt3ETGxtWl8cT2mO5zo1TyZkfdF4u431mHbVRSl7FQgqMZmdJ5BdEr0FSf6Zj7NmHvTXH489SPOOsc8mpl4/gK/vvUVqWmhWHTN8MmNJmjsQBaO6IvQah2yTUVR/hsVCKohi9WCRVpw1jkT7hdebJr2tdrTvlZ7AFJyUnAzuKHTXPvhkJqbyjcbnyHth3a4miJxzfmLOi0v0mvqi2gN18/TSoqi/EMFgmpo5YmVfL7/cxbevBB/F/9S02bkZTBu7ThuqHMDL9zwwj/vGiRGw67PwZwNUoK0Qucp4NcYzuyEqC9s0+w/5865s+9sR3y99vNhvc30a3yB4W4d6DzxKXUHoCjXORUIqpksUxYf7P2Aeh71ytQvj5vBjf4N+vPZ/s/wd/bnwdYPQsJx+Kw3mLLB6AEIEBpoPR5oDFkJcGY7Zqlj27lWHEvqSq6hAVpzNkH4suqhZTT0bgrX6QtsiqIUpgJBNTP/4HwScxKZe9PcMr9JPKXNFOKz4vn4r4/xc/ZjTJORtpN+x3vBO+TKBZoPZLdLHXa+dhYp3TBaLuFn2MrAJyfi1mhg+RZIURSHU4GgGonLiuPLg1/SP6Q/Ef4RZV5OCMGLHZ8lKXYHr+x4hdqutenW/9Ur0p3/O5YzqzZzLPwYb6YtY4DPcNrqNPR6eBJ+fuPKsyiKolQgFQiqkeXHl2OympjSdsq/WzArCf2S23nrdBTvtB5QqIHZYrZyaM0edv96gkwZgM7kShd3J57q+xQjbx15XXVXoSjKf+OwMYsdRY1ZXDKrtHIk6QhhvmFlXyjuCHwzFtLOw5D3odUtAJgsJvbuPca+T6MxCTeM2XG4uRxlwMO34h7WxEElUBTFUSprzGKlAqXnpeNucP93QeDsLlg0AnRGmLgWgjtwadcR0rds44u2x/n96FZGidE4GffT4KHB9Ah/Ho1QbwArSnWjAkE1sO3cNp7Y9ASf9v2UFn4tyr6gf1No0gdzhyc4sfYI+/88SJyhPr6JGdzRtSf6cAPdh3SiXeDk67YLa0WpDixWSUpWHslZJmp5GnFz0hEdn8EvBy+SnGmb3qKOB3d2aeCQ7atAUMVZrBbe3v02nk6eNPEuQ5WNORe2zYVOk8HoyVGnyex8dhfpbsHotQZa1Emh3bQxuIfUYgZ9HV8ARamipJTkmq2kZZtIyzGTlWcmM9dCiJ8LtT2diU/PZc1f523T8yxk51nIzDUzrmM92tbzZvfpJJ5Y+jfJWXmkZpu4XEu/4M729GgWwIm4DN74+ShGvQYfFwPuRsedrlUgqOJWR6/mWPIx3ur+FgatofTEGfHkfjyWhB1ncdqRgN9Tr5Oh8QJvPzp3cSd8+I3ondQhodQcVqskPddMapaJ1GwTKdl51PIw0iTQnYxcMx9sOEFajin/ZJ+abWJ8x3qMiQzmVEImN7296Yp1vjy0BRM6hRCXnsPMHw4BoNMIXAxaXJ109AoNBMDT2UCLOh74uBrwcjHg46LH29VAaG1blzA9mwVweGZ/nA2OfyFT/ddXYZdfHovwj6Bv/ZKv3i2pqaQtnc/Fb5dw3Kkn52s/Ttv4U/gBrfuG0PbmBgiNqvpRqi4pJWk5ZlKy8tAIQbCP7Wm2L7fFkJiRaz/Jm0jJMtGlsS/33tgIk8VK8+d/xmIt/MDMPd0a8NxAW1vb51tO4umsx8Oox8NZj6ezHme97cQc4GHk6f7N8XDW4eZk+3E2aGnk7wZA00B39r3QBxeDDoPuyra1xgFufHBr2xLLVNwyjqICQRX2x7k/iMuO460eb11Rh2/Ny0NjMCClZNfU1ziT4kdCoxkgNDRs6UWjYd0B0OpV469yfbFaJRr7hcn+2FTOp2bn158nZ+YR6GHkrq62uvJx83Zw7FI6Kdmm/BN6vxaB/G+C7eGY9347TnJWHh5GPV4ueryc9Zjt6fRaDVNuaoKrkxYvFwOezrY0db1tHTG6GrQcm3Vzie1jbk46HujRqMRy6LUavFyucpd+nVCBoArrH9Kfpt5NaejZEABpNpOx4RfOLllNQnQmHWcMxunGsZwK7E2Wi4mITv60urk57j7GSs65UlMkZOSSkJFLWrbZXr1iqwsf2c42VPmHv59g9+lkkjLzSMnKIykzj3q+LvzwcDcApq86wF9nU/LXZ9Bp6NbYLz8QhAd50MDfFW8XPd4utiqWBn6u+ek3PtkDN4MuP7AU9UjvktvVatIDEioQVFFJOUn4GH1o6NmQrJgzHH7jI85cdCPBM4w8p7HomuTQIS8OgCFPd8PFw6Cqf5QyMVms6DQCIQQXUrM5k5hFRq6ZjFwz6Tm23/fd2BAhBN/tOsP6w3Fk5JhJzzWRlm3GYpVsnXYTADPWHGLNX+cLrd/PzZAfCGKTs4lLz8HbxUA9Hxe8XfTU8/3nRP7KMNvLjd6uBnxcDFfUl1+uwimJh1F/zfujJlCBoAo6nnScF//3EHcHd6DXbbP4+890dlv7ovPLIsgzkYY9ggjp2gWjpxMArl5OlZxjpSLlmCzoNAKdVsPF1BwOX0izNXjm2K7K03NsJ3JvVwOr9p3jy20xpOWYSc+xncizTRb2Pt8Hb1cDi3ac5sPfo6/YxsTOIRj1WuLScjmblIW7UUegu5HG/jo8nfVIKRFCcEen+twcXstex67Lr2u/7LURLUstS3iQZ7nvH+VKKhBUEdH797Bv5S+kndZikg3pYpiGy5YPYbwk7KaG1G1koHbrRmi11bPOPzvPwq+HLrJizzl2n06mRR0PXh3RMr9hrqrLM1ttjxfmmcnKsxDg4YSHUU9CRi47TyaRlWc7QWfmWsjINTGqXTAN/FzZFp3Am78cJS3bRGq2mbQcE3lmK6se6kKrYC82Ho1j2or9hbal1wpGtQvC29WAViNwMeio5WnE3cl2snY36tFpbXePI9vWpXMjP9yN9gZRow53Jz1O9obMh3s14eFeJVevRIb4OG6nKeVGBYLr1LlTJzi84Rt63jGNlEu5/PxhCtARHRk4mU8Q7L2fFrOeBCHw8HPGw6/6dvvwd2wKt366k4xcM0FezgxsWZuDF1LxdbU1xH25LYZNx+Lp3MiXLo39aBboXmKdsCPlmi2kZtmeTvFy0RPgbiQlK48lUWdJsU+3zc/jri4N6BUayF9nUxj58bb8BszL5o5rw5BWdTh2MZ2HFu8pNE+rEUTW96GBnyt6rQZXg47ansZCT7cEeNjuAm8KDWDFg50LXZE76TT59d+DIuowKKJOiWVq6O9Gw2oSbJWSqUBQTtKTcjixO44zBxMRGoGzux43LyOdhtueKkiITcdikji763H2MKAvUteZHBfHziXLiTuQTF5OELnGYOqcM3O41TLC2t5C87A4PFzO02b07eg8h1RGESvMibh0Vuw5R20vZybcUJ+mge4MbV2Hwa3q0CHEp9iT/KmETDYcsbWJ+Loa6N7Mn7dHtypTg196jsl+pW0m0/7j6+ZEs1rumC1W5m0+aasbz/mnnrxvi0DGRAaTnJlH73c2kZ5rJs9szV/nk/2a8VDPxmTkmnn1xyPoNAIvF739yRRD/om/lqeRe29siItBi7NBh6tBi7NBS9t6XgC0Cvbi50e74aLX4eKktaXTa/PL1T7Eh0WTOpZYtgB3IwHu6uEApXQ1KhDs/u1VEs0JaDzqoHGvjda9Fq5OnkTWsj1qdiTpCJmmTLRCi0Zo0Aotnk6e1HWvW+z60hKycfcxIjSCvb+cZv+mc/gGuaHVa0i5lIVWl54fCHasjOb0waT8ZTVaM3rtJTrdAi06T2D5jB3kWpohrCaM1pP4yHXU6mukWeMeaDSCXlNucfwOqkSJGba3MFfsPcffsaloBNzasR4ARr2WV4aXXJd8R+cQ7ugcwvmUbLaeSGBbdCJ5Zmv+yXLy4j1k5JrJsp/ss/LMdGviz8v2hsgOr/xGtslSaJ23tA9m9sgItBrBm78cRSsE7kZbtYmbk47MXDMALk5abm5ZCzcnPe5GXf4jiGH2l4LqeDpzYEY/XA3aYoNSoIeRp/o3L7Fsrk46mtfyKHG+opSHGtX76OqhnagTk0m8p4kLPoKL3pAZqOOV2X8DcMeKwexJjym0TKhPKEsGLwHgmU1Pk52YQ9CFprieC0ImedBqdCpdew0n7WIKcsNreGpikdnJJOWkEGNOwz10OE17v8zx339n87wPccnywC3HDavOHa0lF3Pnowx9YQ0Hft7LpX3L6DB8MO5NO1ab0b0uNxqm55iIT88lK89Ctsli+51npkezAIx6LfcsjGLdoUuE1fZgRNsghrSuUy5XslJKJi/ey+mkTFwNtnpuVycdkSHe3N4pBICvdpxGKwSuTlrcnHS4GHQEeTlTz9f2UlKOyVKoOkVRqiLV+6hdbsvn2VnbiN6ahTE3kSapcbhl/XOV/sj/EtFkWsAjB7MnmAPc0ba01Y+mxWdR97tQsNquUtN1MSS6/kbCnuN07TUcjwB3nj7wAxopcE2S1I6ThFyUHOseRdPeENwohDZHj5AR7IkIrYN7qBe12/TBL/xFAML7tyG8f5uK3yl2Fqu0NVTmWgr9bhbojrergdOJmfx2OC6/35SsXNvvh29qTH1fV9YdusS7646RZW/szDbZ+lb5+dFuNA5wZ0lULC/bX7cvaMvTPanr7cLU3k15vG/Tcr/6FULw4fiS394EmHBD/VLnG/VqzGWleqtRgaD92A4kxGaQnphDemIQaQk56Nz/+Sc/1HQaqSY3DOYMnLISMMYmUyc1HiaBq7cRn+RsfOKX4x+/D+dcWwDRDugBgBQa7lhpRdhvsHIDvSC8IU26DQfAKTiE1rv3O/yq0mSxEp+ey8W0HOLScmhey4MQP1dOJWQy+6fDZOVZ8qtJMvPMvDS4Bb3DAtkenchtn++8Yn3zJ7anZ/MAjl5Mz+83xaDV4GzQ4mrQctsN9anva3sLs46XEWeDDhe9rZ7bxaDNf467e1M/fMe2xtlex+1irwu/fNUfVkdVfyhKZXFoIBBC9AfeA7TAZ1LK2UXmOwELgXZAIjBWShnjqPzog13xre1MoEZg0GnQazXotf+cmDvddQPJF7NIT8ohPb4uqZcyyKxjO1FpdRqGPdsVrJ2xSNsVtMkq0Xh7XS4Lxk8XkmuV6OoG4+rpiUGnwcVJmz+/rNVwVqu0XVGbLOg1Gjxd9FiskqiYJLJMFnLyLCRnmbiUlkP7EB+6NvEjNjmLYR9uJSEjr9C6Xhwcxp1+DbBYJacTs3C194kS6G7ExUmLt/3Jm4b+rkwfGIqLQYerk9b226DN7wDrxqb+/PVCX5wN2mL7QOnc2I/Ojf1KLFPjAHcaB7iXqfyKolQshwUCIYQW+BDoA8QCu4QQq6WUBesH7gaSpZSNhRC3AK8DYx2Vp+kr9/P70fhC0xr6u7Lh8R62+btOsvdsMnqtBoNWg95dQwt3Z/rZ047dlMqBc6kUfNKva+M8FjWyve5++9Z0YpOzgX+20Ts0kM/usFXLtX/lN9JyTDhpNRh0tp+BLWszfZDt7cjIWetIzzGTW+Dpk4mdQ3hpSAvMVitj5+0olHch4OGbmtC1iR8+rgb6hNUi0MOJQA9j/u/LnW81DnDj50dvLHHf1PFyZlK3hiXON+q1qopEUaopR94RdABOSClPAgghvgWGAgUDwVDgJfvfy4APhBBCOqgF+/7ujRjWJog8sxWTRWKyWHEt0O3yoFa1iajrSZ7FisliJc9spa73P2PyDm8TRPem/vY7CdvdRMH5M4e2IMdkxWyV5Jlty9f2+qfB884uIfkv/Fz+aRTwzzPaQ1sHodMIjAWqTi5fkRu0GhZP6mirWrFXufi7O6G3v0DmYtBd9S1NRVGU4jjsqSEhxCigv5Rykv3zBKCjlHJygTQH7Gli7Z+j7WkSiqzrXuBegHr16rU7ffq0Q/KsKIpSXZX21FCV6I9ASjlPShkppYz09/ev7OwoiqJUK44MBOeA4AKf69qnFZtGCKEDPLE1GiuKoigVxJGBYBfQRAjRQAhhAG4BVhdJsxq4w/73KGCDo9oHFEVRlOI5rLFYSmkWQkwGfsH2+OgXUsqDQoiZQJSUcjXwOfCVEOIEkIQtWCiKoigVyKHvEUgpfwR+LDLthQJ/5wCjHZkHRVEUpXRVorFYURRFcRwVCBRFUWo4FQgURVFquCrXDbUQIh64/EaZH5BQSvLqTJW95qrJ5a/JZYdrK399KWWxL2JVuUBQkBAiqqQ35ao7VfaaWXao2eWvyWUHx5VfVQ0piqLUcCoQKIqi1HBVPRDMq+wMVCJV9pqrJpe/JpcdHFT+Kt1GoCiKoly7qn5HoCiKolwjFQgURVFquCoZCIQQ/YUQR4UQJ4QQ0yo7PxVNCBEjhNgvhNgnhIiq7Pw4khDiCyFEnH0Qo8vTfIQQ64QQx+2/vSszj45UQvlfEkKcs3//+4QQAyozj44ihAgWQvwuhDgkhDgohHjEPr3af/+llN0h332VayOwj4V8jAJjIQPjioyFXK0JIWKAyKIjuVVHQogbgQxgoZQy3D7tDSBJSjnbfiHgLaV8ujLz6SgllP8lIENK+VZl5s3RhBC1gdpSyj1CCHdgNzAMmEg1//5LKfsYHPDdV8U7gvyxkKWUecDlsZCVakhK+Qe2LsoLGgp8af/7S2z/INVSCeWvEaSUF6SUe+x/pwOHgSBqwPdfStkdoioGgiDgbIHPsThwB12nJPCrEGK3fTznmiZQSnnB/vdFILAyM1NJJgsh/rZXHVW7qpGihBAhQBtgJzXs+y9SdnDAd18VA4ECXaWUbYGbgYfs1Qc1kn1Eu6pVv3ntPgYaAa2BC8DblZobBxNCuAHLgUellGkF51X377+Ysjvku6+KgaAsYyFXa1LKc/bfccBKbNVlNcklex3q5brUuErOT4WSUl6SUlqklFbgU6rx9y+E0GM7EX4tpVxhn1wjvv/iyu6o774qBoKyjIVcbQkhXO2NRwghXIG+wIHSl6p2Co51fQewqhLzUuEunwTthlNNv38hhMA2nO1hKeU7BWZV+++/pLI76ruvck8NAdgfmZrDP2Mhv1K5Oao4QoiG2O4CwDbU6OLqXH4hxDdAD2zd714CXgS+B5YA9bB1ST5GSlktG1RLKH8PbFUDEogB7itQZ15tCCG6ApuB/YDVPvlZbHXl1fr7L6Xs43DAd18lA4GiKIpSfqpi1ZCiKIpSjlQgUBRFqeFUIFAURanhVCBQFEWp4VQgUBRFqeFUIFCUq7D3+PjEf1iudcHeIf/rehTF0VQgUBTHaQ1Uyy6ilepFBQJFKYYQ4jkhxDEhxBagmX1aIyHEz/bO/jYLIZrbpy8QQnwihIiyLzPI/tb7TGCsvd/4sfZVhwkhNgohTgohplRO6RSlMF1lZ0BRrjdCiHbYui5pje1/ZA+2/uDnAfdLKY8LIToCHwE32RcLwdbvSyPgd6Ax8AK2cSMm29f7EtAc6Am4A0eFEB9LKU0VUjBFKYEKBIpypW7ASillFoAQYjVgBDoDS23dwADgVGCZJfaOwI4LIU5iO+EXZ62UMhfIFULEYetCOdYBZVCUMlOBQFHKRgOkSClblzC/aF8tJfXdklvgbwvqf1C5Dqg2AkW50h/AMCGEs72n18FAFnBKCDEabL1DCiFaFVhmtBBCI4RoBDQEjgLp2KqAFOW6pgKBohRhHyLwO+Av4CdsXZ8DjAfuFkL8BRyk8BCpZ4A/7envl1LmYGsrCCvSWKwo1x3V+6iiXCMhxALgBynlssrOi6L8F+qOQFEUpYZTdwSKoig1nLojUBRFqeFUIFAURanhVCBQFEWp4VQgUBRFqeFUIFAURanh/g8aij2tJvP6ngAAAABJRU5ErkJggg==\n", 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\n", 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" ] @@ -609,8 +609,8 @@ } ], "source": [ - "qs = QuimbStrategies(2, [\"hyper-greedy\", \"hyper-kahypar\", \"hyper-betweenness\", \"optimal\"], dense = True)\n", - "qs.test(has_qubits = False, fixed_quant = 5, range = range(1, 26))" + "qs = QuimbStrategies(5, [\"hyper-greedy\", \"hyper-kahypar\"], dense = True)\n", + "qs.test(has_qubits = False, fixed_quant = 5, range = range(1, 11))" ] }, { @@ -622,12 +622,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -640,17 +640,49 @@ ], "source": [ "qs = QuimbStrategies(2, \n", - " [\"hyper-greedy\", \"hyper-kahypar\", \"hyper-betweenness\", \"optimal\"], \n", + " [\"hyper-greedy\", \"hyper-kahypar\"], \n", " dense = True, \n", " full_reduce = True)\n", - "qs.test(has_qubits = False, fixed_quant = 5, range = range(1, 51))" + "qs.test(has_qubits = False, fixed_quant = 5, range = range(1, 6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When performing `full_reduce` before transforming the diagram into a tensor network, the same behaviour can be observed, even more extreme: **Hyper-KaHyPar** method takes more than 10 seconds to process a dense graph with five qubits and four layers.\n", + "\n", + "This effect of increasing the time when `full_reduce` is performed on dense graphs is due to obtaining small but very connected graphs where the basic approach performs better by not having to search for multiple paths and choosing the best one like the other approaches do." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qs = QuimbStrategies(2, [\"hyper-greedy\", \"optimal\"], dense = True, full_reduce = True)\n", + "qs.test(has_qubits = False, fixed_quant = 5, range = range(1, 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This, however, changes when performing `full_reduce` before transforming the diagram into a tensor network. All methods perform roughly the same when the depth (the number of layers in this case) is large enough (at least 5). This was to be expected because, when performing `full_reduce` on our dense graphs, they become sparse and so the basic approach performs better by not having to search for multiple paths and choosing the best one like the other approaches do. Nevertheless, the difference in time as well as the total time for each method is negligible." + "The **Optimal** strategy has by far the poorest performance." ] } ],