{ "cells": [ { "cell_type": "markdown", "id": "d457e344", "metadata": {}, "source": [ "# How the cell-cycle model works\n", "\n", "The [cell-cycle tutorial](cell_cycle.ipynb) shows how to call {func}`~mantispy.tl.fit_cell_cycle`,\n", "{func}`~mantispy.tl.project_cell_cycle` and {func}`~mantispy.tl.phase_order`, and how to read what they write. This\n", "notebook explains each step of the model with a figure. Most figures use small simulated populations, where the true\n", "cycle position of every cell is known, so each step can be checked against the truth. Real cells from the optical\n", "pooled screen appear only where they show something a simulation cannot. Most numbers come from what the public\n", "functions write, and the posterior curves and the smoothing sketch re-derive the same steps in a few lines." ] }, { "cell_type": "code", "execution_count": 1, "id": "91dbe0d1", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:38:48.583255Z", "iopub.status.busy": "2026-11-10T18:38:48.582862Z", "iopub.status.idle": "2026-11-10T18:41:06.400574Z", "shell.execute_reply": "2026-11-10T18:41:06.217687Z" } }, "outputs": [], "source": [ "import anndata as ad\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import mantispy as mt\n", "\n", "plt.rcParams[\"figure.dpi\"] = 110\n", "\n", "\n", "def simulate(n_cells=6000, background=0.0, seed=0, reverse_at=None):\n", " \"\"\"A growing population: G1 until 0.45 of the cycle, S until 0.75, then G2M, with DNA doubling through S.\n", "\n", " With ``reverse_at``, tubulin falls back after that age, as a feature that reverses in mitosis would.\n", " \"\"\"\n", " rng = np.random.default_rng(seed)\n", " age = -np.log2(1 - rng.random(n_cells) / 2) # the age distribution of a growing population\n", " progress = np.clip((age - 0.45) / 0.3, 0, 1) # how far replication has gone\n", " amount = 1 + progress # DNA amount, 1 in G1 and 2 in G2M\n", " integrated = 1000 * amount * 2 ** rng.normal(0, 0.04, n_cells) + background\n", " rise = np.clip(age - 0.45, 0, None)\n", " if reverse_at is not None:\n", " rise = np.where(age > reverse_at, 2 * (reverse_at - 0.45) - rise, rise)\n", " tubulin = 1 + 2 * rise + rng.normal(0, 0.03, n_cells) # rises from S onwards\n", " size = rng.normal(0, 0.25, n_cells) # how large a cell is, unrelated to its age\n", " area = 1000 * 2 ** (0.8 * age + size)\n", " solidity = np.clip(rng.normal(0.975, 0.004, n_cells), 0, 1)\n", " noise = rng.normal(0, 1, (n_cells, 4))\n", " names = [\n", " \"Nuclei_Intensity_IntegratedIntensity_DNA\",\n", " \"Cells_Intensity_MeanIntensity_Tubulin\",\n", " \"Nuclei_AreaShape_Area\",\n", " \"Nuclei_AreaShape_Solidity\",\n", " ] + [f\"Cells_Texture_Noise_{i}\" for i in range(4)]\n", " obs = pd.DataFrame(\n", " {\n", " \"Metadata_Plate\": \"P1\",\n", " \"Metadata_Well\": [f\"W{i % 4}\" for i in range(n_cells)],\n", " \"Metadata_Control_Type\": \"negcon\",\n", " \"age\": age,\n", " \"size\": size,\n", " \"true_phase\": np.where(age < 0.45, \"G1\", np.where(age < 0.75, \"S\", \"G2M\")),\n", " },\n", " index=[str(i) for i in range(n_cells)],\n", " )\n", " X = np.column_stack([integrated, tubulin, area, solidity, noise])\n", " var = pd.DataFrame({\"channel\": [\"DNA\", \"Tubulin\", \"\", \"\", \"\", \"\", \"\", \"\"]}, index=names)\n", " return ad.AnnData(X=X, obs=obs, var=var)\n", "\n", "\n", "def template(model, grid):\n", " \"\"\"The DNA content the model expects at each cycle position: flat at 2N, a linear rise in DNA amount, flat at 4N.\"\"\"\n", " low, high = model[\"peaks\"]\n", " edges = model[\"edges\"]\n", " progress = np.clip((grid - edges[1]) / (edges[2] - edges[1]), 0, 1)\n", " return np.log2(2.0**low + (2.0**high - 2.0**low) * progress)\n", "\n", "\n", "def age_at(share):\n", " \"\"\"The cycle position of the cell at a cumulative share of a growing population.\"\"\"\n", " return -np.log2(1 - share / 2)\n", "\n", "\n", "GRID = (np.arange(400) + 0.5) / 400\n", "PRIOR = 2 * np.log(2) * 2.0**-GRID # the age density of a growing population" ] }, { "cell_type": "markdown", "id": "358a3234", "metadata": {}, "source": [ "## The input: DNA content\n", "\n", "The model reads one number per cell, the integrated intensity of its DNA stain. {func}`~mantispy.tl.dna_content` takes its\n", "log2 and subtracts the log2 of the G1 peak, so a G1 cell sits near 0 and a cell with twice the DNA near 1. The unit is\n", "a doubling.\n", "\n", "A doubling of DNA gives 1 only if the intensity is proportional to the DNA. A constant background added to every\n", "nucleus breaks that. With a G1 intensity a and a background b, the 4N peak sits at the log2 of (2a + b) / (a + b),\n", "which is below 1. The two simulations\n", "below differ only in a background of a fifth of the G1 intensity." ] }, { "cell_type": "code", "execution_count": 2, "id": "61a127ca", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:06.429751Z", "iopub.status.busy": "2026-11-10T18:41:06.429243Z", "iopub.status.idle": "2026-11-10T18:41:11.036954Z", "shell.execute_reply": "2026-11-10T18:41:11.035779Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "no background: 4N peak near 0.99\n", "background of 200: 4N peak near 0.87\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "expected 4N position with background: 0.87\n" ] } ], "source": [ "clean, shifted = simulate(), simulate(background=200.0)\n", "figure, axes = plt.subplots(1, 2, figsize=(8, 2.8), sharey=True)\n", "for axis, cells, title in zip(axes, (clean, shifted), (\"no background\", \"background of 200\"), strict=True):\n", " mt.tl.dna_content(cells, dna_feature=\"Nuclei_Intensity_IntegratedIntensity_DNA\", reference=\"negcon\")\n", " content = cells.obs[\"Metadata_DNAContent\"]\n", " peak = content[content > 0.6].round(2).mode().iloc[0]\n", " axis.hist(content, bins=120, color=\"0.4\")\n", " axis.axvline(0, color=\"tab:blue\", lw=1)\n", " axis.axvline(peak, color=\"tab:red\", lw=1)\n", " axis.set(title=f\"{title}: 4N peak near {peak:.2f}\", xlabel=\"DNA content (doublings)\")\n", " print(f\"{title}: 4N peak near {peak:.2f}\")\n", "axes[0].set_ylabel(\"cells\")\n", "plt.show()\n", "print(\"expected 4N position with background:\", round(np.log2(2200 / 1200), 2))" ] }, { "cell_type": "markdown", "id": "343c5ca6", "metadata": {}, "source": [ "Without background the 4N peak sits near 0.99. With a background of a fifth of the G1 intensity it sits near\n", "0.87, as the formula gives. The model reads the 4N peak from the data, so it follows such a shift.\n", "\n", "## The template\n", "\n", "The model describes the DNA content a cell should have at each point of its cycle. Through G1 it is flat at the 2N\n", "peak. Through S, DNA is copied at a steady rate, so the amount of DNA, not its logarithm, rises along a straight line.\n", "Through G2 and mitosis it is flat at the 4N peak, and at division it drops back to 2N, where the next cycle starts.\n", "The model takes both peaks from the data rather than assuming 0 and 1." ] }, { "cell_type": "code", "execution_count": 3, "id": "08d8c380", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:11.040505Z", "iopub.status.busy": "2026-11-10T18:41:11.040125Z", "iopub.status.idle": "2026-11-10T18:41:11.794914Z", "shell.execute_reply": "2026-11-10T18:41:11.793982Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "2N peak 0.000\n", "4N peak 0.860\n", "2N peak width 0.039\n", "dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cells = shifted\n", "mt.tl.fit_cell_cycle(cells, reference=\"negcon\", qc_features=(\"Nuclei_AreaShape_Area\", \"Nuclei_AreaShape_Solidity\"))\n", "model = cells.uns[\"mantispy\"][\"cell_cycle\"]\n", "expected, edges = template(model, GRID), model[\"edges\"]\n", "figure, (left, right) = plt.subplots(1, 2, figsize=(8, 3), sharey=True, gridspec_kw={\"width_ratios\": [2, 1]})\n", "for (start, end), name, color in zip(\n", " zip(edges[:-1], edges[1:], strict=True), (\"G1\", \"S\", \"G2M\"), (\"tab:blue\", \"tab:grey\", \"tab:red\"), strict=True\n", "):\n", " left.axvspan(start, end, color=color, alpha=0.12)\n", " left.text((start + end) / 2, 1.15, name, ha=\"center\", fontsize=8)\n", "left.plot(np.r_[GRID, 1.0], np.r_[expected, expected[0]], color=\"black\")\n", "left.set(xlabel=\"cycle position\", ylabel=\"DNA content (doublings)\", ylim=(-0.4, 1.3))\n", "right.hist(cells.obs[\"Metadata_DNAContent\"], bins=100, orientation=\"horizontal\", color=\"0.4\")\n", "right.set(xlabel=\"cells\")\n", "plt.show()\n", "pd.Series({\"2N peak\": model[\"peaks\"][0], \"4N peak\": model[\"peaks\"][1], \"2N peak width\": model[\"sd\"]}).round(3)" ] }, { "cell_type": "markdown", "id": "c99098b4", "metadata": {}, "source": [ "In the simulation with background, the 2N peak sits at 0.000 and the 4N peak at 0.860, and the 2N peak width is\n", "0.039 doublings, close to the 0.04 the simulation added. Through S the template curves, because a straight rise in\n", "the amount of DNA is a curve in its logarithm. The histogram beside it shows the cells piled on the two flat parts.\n", "\n", "## Ergodic rate analysis: from shares of cells to time\n", "\n", "The fit gives the share of control cells in G1, S and G2M. Turning shares into time needs one fact about a growing\n", "population {cite:p}`Kafri_2013`. Every division turns one old cell into two young ones, so in steady state young\n", "cells outnumber old ones, and the density of cells of age t, as a share of the cycle, is 2 ln 2 times 2 to the power\n", "-t. The share of cells younger than t is then F = 2(1 - 2^-t), so a cumulative share F corresponds to the age\n", "t = -log2(1 - F/2). Reading the shares directly as time would make G1 look longer than it is." ] }, { "cell_type": "code", "execution_count": 4, "id": "ca94f9fe", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:11.798297Z", "iopub.status.busy": "2026-11-10T18:41:11.798125Z", "iopub.status.idle": "2026-11-10T18:41:12.116340Z", "shell.execute_reply": "2026-11-10T18:41:12.114790Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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fitted share of cellstrue share of cellsshare of the cycletrue share of the cycle
G10.550.5360.4640.45
S0.250.2720.2730.30
G2M0.200.1920.2630.25
\n", "
" ], "text/plain": [ " fitted share of cells true share of cells share of the cycle \\\n", "G1 0.55 0.536 0.464 \n", "S 0.25 0.272 0.273 \n", "G2M 0.20 0.192 0.263 \n", "\n", " true share of the cycle \n", "G1 0.45 \n", "S 0.30 \n", "G2M 0.25 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "share = np.linspace(0, 1, 201)\n", "figure, (left, right) = plt.subplots(1, 2, figsize=(8, 3))\n", "left.plot(GRID, PRIOR, color=\"black\")\n", "left.set(xlabel=\"cycle position t\", ylabel=\"density of cells\", title=\"age distribution\", ylim=(0, 1.5))\n", "right.plot(share, share, color=\"0.6\", ls=\"--\", label=\"share read as time\")\n", "right.plot(share, age_at(share), color=\"black\", label=\"corrected, -log2(1 - F/2)\")\n", "cumulative = np.cumsum(model[\"fractions\"])[:2]\n", "for value in cumulative:\n", " right.plot([value, value], [0, age_at(value)], color=\"tab:grey\", lw=0.8)\n", " right.plot([0, value], [age_at(value), age_at(value)], color=\"tab:grey\", lw=0.8)\n", "right.set(xlabel=\"cumulative share of cells F\", ylabel=\"cycle position t\", title=\"share to time\")\n", "right.legend(fontsize=7)\n", "plt.show()\n", "truth = cells.obs[\"true_phase\"].value_counts(normalize=True)\n", "pd.DataFrame(\n", " {\n", " \"fitted share of cells\": model[\"fractions\"],\n", " \"true share of cells\": [truth[\"G1\"], truth[\"S\"], truth[\"G2M\"]],\n", " \"share of the cycle\": np.diff(model[\"edges\"]),\n", " \"true share of the cycle\": [0.45, 0.30, 0.25],\n", " },\n", " index=[\"G1\", \"S\", \"G2M\"],\n", ").round(3)" ] }, { "cell_type": "markdown", "id": "b565ca8d", "metadata": {}, "source": [ "The fitted shares of cells, 0.55, 0.25 and 0.20, are close to the true shares of 0.536, 0.272 and 0.192. After\n", "the correction, the shares of the cycle come out as 0.464, 0.273 and 0.263, against the 0.45, 0.30 and 0.25 the\n", "simulation used. Read directly as time, the shares of cells would have given G1 55% of the cycle instead of about\n", "45%.\n", "\n", "## The posterior for one cell\n", "\n", "{func}`~mantispy.tl.project_cell_cycle` asks, for each cell, how probable each cycle position is given its DNA\n", "content. The posterior combines a likelihood and a prior. The likelihood says how well the cell's DNA content fits the template at each position,\n", "with the 2N peak width as the measurement noise. The prior is the age distribution above. Their product, normalized,\n", "is the posterior. The cells below sit in G1, in the middle of S and in G2M." ] }, { "cell_type": "code", "execution_count": 5, "id": "7bce86e6", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:12.119836Z", "iopub.status.busy": "2026-11-10T18:41:12.119398Z", "iopub.status.idle": "2026-11-10T18:41:12.584690Z", "shell.execute_reply": "2026-11-10T18:41:12.583350Z" } }, "outputs": [ { "data": { "image/png": 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G1SG2Msub-2Nabove-4N5%25%50%75%95%
G1 cell0.980.020.000.00.00.020.100.220.340.45
mid-S cell0.001.000.000.00.00.570.580.590.600.61
G2M cell0.000.080.920.00.00.730.780.850.920.98
\n", "
" ], "text/plain": [ " G1 S G2M sub-2N above-4N 5% 25% 50% 75% 95%\n", "G1 cell 0.98 0.02 0.00 0.0 0.0 0.02 0.10 0.22 0.34 0.45\n", "mid-S cell 0.00 1.00 0.00 0.0 0.0 0.57 0.58 0.59 0.60 0.61\n", "G2M cell 0.00 0.08 0.92 0.0 0.0 0.73 0.78 0.85 0.92 0.98" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "examples = pd.Series({\"G1 cell\": 0.0, \"mid-S cell\": 0.45, \"G2M cell\": model[\"peaks\"][1]})\n", "probe = ad.AnnData(obs=pd.DataFrame({\"Metadata_DNAContent\": examples.to_numpy()}, index=list(examples.index)))\n", "dna_only = {name: value for name, value in model.items() if name != \"qc\"} # the probes carry no shape features\n", "mt.tl.project_cell_cycle(probe, model=dna_only, by=None)\n", "\n", "figure, axes = plt.subplots(3, 3, figsize=(9, 6), sharex=True)\n", "for row, (name, content) in enumerate(examples.items()):\n", " likelihood = np.exp(-0.5 * ((content - expected) / model[\"sd\"]) ** 2)\n", " prior = PRIOR\n", " posterior = likelihood * prior / (likelihood * prior).sum()\n", " for column, (curve, title) in enumerate(((likelihood, \"likelihood\"), (prior, \"prior\"), (posterior, \"posterior\"))):\n", " axes[row, column].plot(GRID, curve, color=\"black\")\n", " axes[row, column].set_yticks([])\n", " if row == 0:\n", " axes[row, column].set_title(title, fontsize=9)\n", " for q in probe.obsm[\"cell_cycle_quantiles\"].loc[name]:\n", " axes[row, 2].axvline(q, color=\"tab:red\", lw=0.8)\n", " axes[row, 0].set_ylabel(name, fontsize=8)\n", "for axis in axes[-1]:\n", " axis.set_xlabel(\"cycle position\")\n", "plt.tight_layout()\n", "plt.show()\n", "pd.concat([probe.obsm[\"cell_cycle_probabilities\"], probe.obsm[\"cell_cycle_quantiles\"]], axis=1).round(2)" ] }, { "cell_type": "markdown", "id": "d15c146c", "metadata": {}, "source": [ "For the G1 cell, the likelihood is flat across all of G1, since every G1 position predicts the same DNA, so the\n", "posterior is the prior cut off at the end of G1. Its 5% to 95% quantiles span 0.02 to 0.45. The mid-S cell's DNA\n", "fits only a narrow stretch of S, and its quantiles span 0.57 to 0.61. The G2M cell spreads over G2M, from 0.73 to\n", "0.98. The phase probabilities follow, at 0.98 for G1, 1.00 for S and 0.92 for G2M, with the rest on the neighboring\n", "phase.\n", "\n", "Summing the posterior over each phase gives the phase probabilities. Drawn against DNA content, they show where one\n", "phase gives way to the next, and where a cell becomes more likely to sit below 2N or above 4N, off the cycle, than\n", "on it." ] }, { "cell_type": "code", "execution_count": 6, "id": "5bcf8e68", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:12.588562Z", "iopub.status.busy": "2026-11-10T18:41:12.588152Z", "iopub.status.idle": "2026-11-10T18:41:12.693934Z", "shell.execute_reply": "2026-11-10T18:41:12.693076Z" } }, "outputs": [ { "data": { "image/png": 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C3r8/hPn6dUChQOI786HQ1L+xqj+SpuoAgBMLxCvbETSdKUtSMwqcSKNT2TTMM5vNMItZk6a4Rp070uLD0DFRCwDY9adrH6Q6nQ4Qly0i/kMKnIqLi2Eymep9e+YbN1C4Zg0AIHrSkwhuwsvuyFN1NmfWUcaJ2KJXAWl0Sps1rMxmMyy8mHFSUMbJWf1TrQv+Hr1e7NJxpeJUhLNLHhHf4Okz6/KXLwcsFrCRkYibNq3et+fPFDZ/C3yVjBMFTgQUOBFfYJtxslgscsZJSRknp/VqZc0YnbmlQ7nRcbHsmkiBU7jNt2zi+yIiIuS/m/rWOZlzclCy8WsAQPSTT0AR2rSXOWKCggDxy5zjVB29JxEKnIgPcJyqs2acVJRxcloPMXDieAEnspzPOpWJHwwUOPkXhULhsQLxws9WQjCbodBqEfXoox4aof9iGKaye3ipNFVHa9WRSvQqII2uauBkoYyTyxK0GiRFWdsSHLla5NQxgiDQVJ0fk5bHqc9UnWA2o+TbbwEAURMm2NX3NGVVF/qljBOxRa8C0uhqqnFS0Vl1LpGm645cdy5wqqioAM9bPxAo4+R/pDUepQJ/d5Tt3Quu2JqhjLx/rMfG5u/kwKncvjicAicCCpyIL6ipxonOqnNNTzFwOnqtCDxf9/IrpTZLSlDg5H+kfzPbf0dX6bZuBQBounWFWmxESyoX+uVKq55VR+0ICAVOxAc4TtVRHyd3SHVOOoMFF3LL6ty/zGYRU5qq8z9S4FRWViZnDl3BlZWh9JdfAQAR947x+Pj8me1UnSAINFVH7NCrgDQ6h8BJ/BBQNcGuxfXRvpkWQeIipH9m1z19I2UqNBqN3b8B8Q9S4CQIAsrLy10+vvSnn61LirAstPfc7YUR+i95od+yMvCWyuwtFYcTUOBEfEFNZ9VRxsk1rIJBSoz1VPIr+XV/kFIrAv9m++/mznRd+Z7fAACh/fpBGR3t0bH5O3mh37JSeYFfUOBERPQqII3OoTiczqpzW0qsdWHkq04ETtSKwL+F2vRbcjVwEnge5QcOWm9nwACPj83fye0IysrlaTrQVB0R0auANDqH4nCe+ji5KyVWzDgVVNS5L7Ui8G8sy8r/dq4GTsYLF8EVFgIAQvr19cr4/JkirHKqjrMJnCjjRECBE/EFNa1VRxkn17UWp+qcyTjRVJ3/c/fMuooD+wEAiogIaDp08MrY/Jn9VJ1txonOqiMUOBEfYDtVZzCaIIi1mFTj5LrWYsapRG9GUXnti7/SVJ3/czdwkqfp+vQBQydhOLCdquNoqo5UQa8C0ugYhgHLWr/JGYyVH/Z0Vp3rpMAJAK4U1Jx1oq7hgcGdwEmwWFBx+DAAIKR/P6+NzZ/ZnlVnNlFxOLFHrwLiE6TpOpPZLG+jjJPr4sKDEKq2BqFX8moOnPR6PTjO+oFAGSf/5U7gZDh9Wl5KJLQfBU7VUYSKXyZ4HpayynpByjgRUOBEfIUUONllnKjGyWUMw6CVVOdUS8bJtvklBU7+y53ASf/HHwAANioK6tatvTY2f8aGV2ZhzaX6yu1Kek8iFDgRH1F94EQZJ3dI03W19XKy/aClqTr/JQVO5eXlcgaxLsY/zwEANB3ag2Hob6w6ijDbwMn6d8QqFWDoTF9CgRPxFVLgZDRVBk5KqnFyixQ41ZZxMhgMgFiYr1arG2xsxLNss4W2WcTaGP78EwAQ1J7OpquJbeBkKbf+rVB9E5HQK4H4BOnMOqOpssaJMk7ukXo5Xc2vgCBUv9ivFDhpNJoGHRvxLFe7hwsWC4znzwNixolUzy7jRIETqYJeCcQnVF8cTi9Pd6TEWLuHlxktKKyhJQEFToEhJCREnm5zJnAyXb1qXZ8OgKY9BU41UajVYMT3JHOF9fmiwnAi8ZlXgiAI+M9//oMRI0Zg4MCB+H//7/+hUOxsWxedToe33noLd911FwYNGoSpU6fiTzEdTfyDPFVntJ2qo4yTOxK0lcFQXpmx2n30emvBKwVO/k2hULhUIG4Q65sYtZoKw+sividxFrEhLwVOROQzr4RZs2bh9ddfx+TJkzF//nwcOnQIgwcPlr8Z18RiseDOO+/E2rVr8eyzz2L+/PkoLi5Gr169cPbs2QYbP6mfyhon26k6n3l5+pW48CD597zS6gMnyjgFDqm435kaJ+Of1vfEoLZtwdg0niWOGLG3nMVine6mqToi8YlXwvXr1/H+++/j3XffxcMPP4whQ4Zgw4YNOH/+PFauXFnrsUeOHMHBgwfx73//G2PHjsXtt9+OtWvXQq1W13ks8R2VU3U2GSeqcXKLRsUiXGP9UKTAKfAFBwcDNlnE2hjOioXhVN9UJylw4sTAiTJOROITr4Tt27eD4ziMHTtW3paQkIABAwZgy5YttR4rpafj4uLkbWq1GpGRkdDpdF4cNfEkqTjcZJtxorPq3CZlnShwCnxS4FRRUffCzoZzYisCOqOubuJ7EkcZJ1KFT7wS/vzzT8TFxSEiIsJue1paGs6Jf+g1GThwIFq1aoWPPvpI7mOyefNmZGZm4pFHHqn1WJ1Oh6ysLPnn1q1bHng0xB2VGSdL5TYlZZzcFRdGgVNTERJiPRmgroyTpbAQXH4+AEDTvl2DjM2fOWacaIFfYuUTk9ylpaXVNuELDw+vM2sUHByMXbt24d5770VCQgK0Wi3y8/OxYcMG3H777bUeu2TJEsydO7fe4yf1V+1UHWWc3BYvFojnUuAU8JzNOJmuXZN/V6ekeH1c/k6uceIo40Ts+cQrQa1Ww2xzGrrEZDIhKCio2mMkJSUluP/++xEdHY3Vq1dj1apVePrpp/HEE09gz549tR47Y8YMZGZmyj+HDh2q92Mh7pECJzP1cfIIyjg1Hc5mnMxZWQAAJiQEbExMg4zNr0kZJ7EhO9U4EYlPZJySkpKQm5sLjuPAspXp0Js3byIpKanWYz/55BP88ccfyM/Pl6f6Bg0ahFOnTuGVV17B//73vxqP1Wq10Gq1HnwkxF1yjZMYQLMKhpaDqAe5xqmGdgRS4CRlK4j/crY43HT9OgBAnZREf1tOYKoETpRxIhKfeCUMGjQIJpPJLuPDcRz279+P2267rdZji4uLERwc7FAf1axZMxQXF3ttzMSzpIyTRaxxoh5O9VNbcbjZbIbFYn2eKePk/6SMk8lkkv9dq2POtGacVMnJDTY2v6a0Bk68lHGiBX6JyCdeCbfddht69eqFOXPmyN+E33vvPRQVFWHatGl2+2ZkZOBf//qXfPmOO+5AaWkpPvjgA3nb0aNHsXXrVowYMaIBHwWpj6o1TtTDqX6kwKlEb4bRYr/4q9FYGUxR4OT/bLOGtWWdTFmZgJhxInVjWGsW3MJbv8SxaioOJ1Y+8enEMAw2btyIiooKNG/eHCkpKViyZAk2bNiA1NRUu31PnDiBGzduyJeHDx+Ojz76CG+//TaaNWuG1NRU9O/fHw888AAWLFjQCI+GuEOucZIyTlTfVC9SjRMA5JfZL7ti21SWAif/J2WcUEeBuPm6NXBStaSMkzPkqTpr43CqcSIyn6hxAoBWrVph//79yMzMhF6vR5s2beS6F1vHjh1DfHy83bZp06bhr3/9K27evAmDwYDk5OQ6i8qJb6kMnKwf8nRGXf3Ydg/P1RnQIrIyK0GBU2BxJuPEGwyw5OYCANQ0Vecc8fOHpxonUoXPBE6S5Dr+qDMyMqrdrlAo6iwkJ75LCpKljBOdUVc/0aFqKBiAFxzrnGw/XOkLhv8LCgqCQqEAz/M1ZpykM+oAQJVEgZMz5HYEvDVgoowTkdArgfgEuTjcQlN1nsAqGMSEVX9mnZRxUqlU1WZ1iX9hGKbOM+tMmZnSzlAltWjI4fkvsc6SF8SLVBxORPRKID6hMnCytiOg4vD6i6/hzDrq4RR46gqcpDPqlM2aQaFWN+jY/JVUHM5JGSc1vScRK3olEJ9Q2Y5ADJyoxqneampJQIFT4JEKxGuaqpMyTnRGnfPk4nBBPKuOpuqIiF4JxCdIU0Y0Vec5NXUPp8Ap8NSdcaIz6lymlAInMeOkpHYExIoCJ+ITpIwTJwdO9NKsr5q6h1PgFHjqzDhJPZzojDqnMawSAhgI4sckS1N1RESvBOITHGqcqHN4vcVSxqnJqCvjZMnOAcQaJ+IcRsmCV6jky9Q5nEjolUB8Ap1V53mRIdbntERvv4A2BU6Bp7bAia+oAF9WBgBQVemBR2rBKsGxlYETZZyIhF4JxCdUTtXRWXWeotVYn9MyowW8dE41LfAbkGqbqrPk5cm/K+PiGnRc/oxhq2ScqDiciOiVQHyCQ3E4TdXVW4SYcRIEoNRQufgrZZwCj23GSRAEu+vsAifKODmPVdgFTtTHiUjolUB8gpRx4jkqDveUiODKN33b6ToKnAKPlHHied5uEWfYBE6MWg2FVtso4/NHDKsEr6hsEEvtCIiEXgnEJ1Q9q05NgVO9VRc4CYJAgVMAqm29OmmNOmVcHBiGMrnOYpQsBKayBQFlnIiEXgnEJ8iBE0fF4Z5SXeBksVjAcdZVSylwChxSxgnV1DlJGSeapnMRy0JgKj8iKegkElqoivgEeapOrnGimL6+NCoWaqUCJgsPncEaOEnZJtACvwGl1oyTFDhRYbhLGFZpl3FSePHLnE6nQ0lJifylhngHy7KIiIiAtp5T1vTpRHyCVBzOi28cKso4eYSUdZIyTiaTSb6OAqfAoVQq5b8h2+AYAMw2U3XEedapusqPSIWXTljR6XS4ceOGw78b8TyDwYAbN25Ap9PV63Yo40R8QmVxuPUDnqbqPEOrUSKv1CgHTraFw2pa7DWgBAcHo7S01OEDmDJObmKV9lN1XnpPKikpgVKpRJs2bcCytKyLN3Ech8uXL6OkpKReWSfKOBGfUBk4WTNONFXnGVUzTraBE2WcAotUs+Y4VZcPUI2TyxhW0SAZJ47joFKpKGhqACzLQqVS1XtKlD6diE+o2o6Apuo8o7apOuk5J4FBCpxsM068wQC+pASgjJPrWPuz6rwVOBH/43bgtHv3bqxbt87ujZgQd0n1GQLPQRAE6uPkIVLgpKuScVKr1VBQVi+gVBc4WfLz5d+V8RQ4uYKpOlVHgRMRuV3jVFRUhIkTJ+KFF17A008/jalTp6J169aeHR1pMuyyHzxHi/x6SE0ZJ5qmCzzSmXV2gVMudQ13l21xeFPLNl2/fh2bNm1CdnY2WrdujXvvvRfNmzeXr1+wYAFycqwLR8+ePRvNmtji0W5/5Rw7diyuXbuG559/HmvXrkVaWhpGjRqF7777DjzPe3aUJODZBk4Cb6GMk4fUlnEigaW6Giep+SVUKrCRkY01NP/EKiGIH5HeKgz3RRs3bkTHjh3x+++/Izw8HCdOnMCwYcOwZ88eeZ8WLVogJSUFn332GfJtsppNRb3OqmvevDn+/ve/4/XXX8fWrVuxdOlSjBkzBi1btsTUqVMxefJkxNO3HOIEh4wTBU4eoa2hOJwyToGn2qk66Yy62Fhq4Ogihm16GaeioiJMmjQJ69evx+jRo+Xt5eXlKCgokC9PnDgRALBw4cJGGWdj80g7ApZlMXbsWLRr1w4vv/wyvvvuO8yZMwdvv/02XnrpJcybN4/OGCC1sss4cRYqDveQqoGTNFVHGafAU2vgRPVNLrNdcsWbzS9tmSw8bhTrndjTPS0ig6GuZemYX3/9FYmJiXZBEwCEhoYiNDTUa+PyN/UOnMxmMzZv3oylS5di165d6NWrF1auXImxY8di06ZNmD17NpKTk/HXv/7VMyMmAUkqDgcA8DyUTeQbnrfJU3UGCwRBoIxTAKu+xomaX7rNpji8oQrDbxTrMfTdXV67/Z3/bwhax9YcAOXn59vVMp0/fx4ff/wxAGDQoEF48MEHvTY2f+J24JSTk4MPP/wQy5cvR3FxMR566CEcOHAAffv2lfd56qmnoNPpcPz4cU+NlwQoqnHyDilw4ngB5SaOisMDmG2NkyAIYBgGlqJCAIAyOqaRR+d/bPs4NZUz6po3b44rV67Il4ODg5GSkoIffvgBFouFAieR24HT1q1bsWbNGrzwwguYPHky4mr4RjNw4EC0bNmyPmMkTYB94MTRVJ2HVF3ol4rDA5cUOAmCAJPJhKCgIHBFxQAANjqqkUfnh2z6ODVUjVOLyGDs/H9DvHr7tRk2bBgqKiqwbNkyTJkyBcnJyXjxxRdRXFzcJIvAa+J24PTAAw9g0qRJddYu9e7dG71793b3bkgTYVcczlmoc7iH2AVOFWaaqgtgtgv9GgwGa+BULAZOdEady6x9nKwBU0MFTmqlotapNG8LDQ3Fhg0bMG7cOKxevRodO3aEXq/H4cOHMXfuXHm/FStW4NSpUygtLcWiRYuQlJSEBQsWNNq4G5rbgdOePXtw6tQpzJkzx+G6b7/9tsbrCKmObY2TdaqOMk6eoK2ScaLi8MAlZZwgBk4RERHgiooAAMooyji5yrY4vCm1IxgyZAiuXr2Kn376CdnZ2UhOTsYHH3yAKJvXUHx8PFJSUjB//nygCX4RcztwysvLw9WrV6u9LicnB5mZmfUZF2li7NsR8NSOwENC1SxYBQOOF6AzUMYpkNkGTnq9HoLZDL60FADAUuDkOpvi8KbSjkASFhaG+++/v8br77333gYdj69xOXDiOA5msxkWiwUcxzmsxF1RUYE9e/ZQF3HiEofi8Cb2RuUtDMMgIliFwnKTXcaJAqfAo1arwTAMBEGAwWAAJ65RB5qqc4td5/AmlHEidXM5cFq5ciWmTJkiX/78888d9gkLC8OBAwfqPzrSZNj3ceKgqqXXCHGNFDjpqDg8oCkUCmg0Guj1emvgJE7TgTJO7rEpDqfmocSWy4HTHXfcgQ0bNuCXX37BhQsXHPozabVa9OjRA7GxsS4P5vvvv8fGjRtRUVGB/v3749lnn3X6m7FOp8OyZctw+PBhxMTEYNKkSejVq5fLYyCNw36qzgIVFYd7jFTnVFxuAMdxAGWcApZt4GSxWYCdAifX2XUOp4wTseFy4JSSkoKUlBT07t0bRUVFyMjI8MhAFi9ejLlz52Lu3LlISEjAwoULsXnzZvz66691nrl3+fJlDB06FB07dsSjjz4KjuPwwgsv4L333kO/fv08Mj7iXfbF4RwVh3uQ3ASzXC8vTkkZp8Bk28uJM1u7xUOphIK6PrvMNnBi6HscseFS4GSxWGAwGKBSqdCiRQvExMSgrKys2n1VKpXT32pzcnLwxhtvYPHixZg+fTog9n9q27YtvvjiC3ldnJo8+uij6NatG7799ls5pfr444/XODbiexzXqqPAyVO0GuufeWm5ARHiNso4BSbbZVc4nVQYHklTTe6wLQ6n54/YcCmO/vzzzxEeHo7nnntO/r2mn+eee87p2922bRuMRiPGjx8vb2vdujX69u2LTZs21XrswYMHceDAAbzyyit2bw4KhQJardaVh0caEcuy8r+ftTicvuJ5SrgYOOmNlSdyUOAUmGyXXZFbEUTSNJ07bIvDKeNEbLmUcRoxYgQ2b96MlJQUREVFYfPmzTXum5KS4vTtnj59GjExMQ7dx9u3b4/ffvut1mP37NkDlmWRmJiIl156CTdu3EBqaiqmTp1a55l9Op0OOp1Ovnzr1i2nx0w8T6VSWc/64miqzpPCgqx/5lJhOGiqLmDZZZyo+WW9MLadw+ntiNhwKXBq1aoVWrVqZXfZE4qLi6vNDmm1WhSLf/w1ycnJgVKpxODBgzFp0iTcf//9+Prrr9GpUyfs2rULffr0qfHYJUuW2HVDJY1LKQZOAm+hPk4eFCoGTiajWd5GGafAZFfjJGacqDDcTbaL/DahwCkrKwsrVqzArVu30KtXLzzxxBP2pRTEtak6i8WCsrIyp35sv93WRalUymf72OI4rs5/MKVSCaPRiGeeeQbz5s3DhAkTsHHjRnTq1AmzZ8+u9dgZM2YgMzNT/jl06JDTYyaex7LWD3iB56iPkwdJGSeT2fo3ybJsnSdcEP9UbcaJAie32E3VNZG3o4KCAvTq1QvXrl1Djx49cOTIEdx3332NPSyf41LG6fPPP7fr4VSbp59+GsuXL3dq3+bNmyM3N1de0VuSnZ2NxMTEOo8FgKFDh9ptHzx4MFauXFnrsVqtluqgfIh8Zh3PUcbJg6SMk8VMzS8DnW2Nk6VYzDjRVJ17FDbtCBihsUfTIH7//XfExcXhs88+k7dRCYsjt2qcnOFKjVO/fv1gMBhw4sQJub2BIAg4ePAgRo8eXeuxAwYMAACU2HTJhVi/FB0d7fQYSONTitlFgaO16jxJCpx4sxlQUOAUyOwyTkVSxokCJ3c0RsbJYrE4fJZ5UkREhF3rl6o6d+6MnJwcrF27FsOHD0diYmKdyYumqF41Tp4ybNgwpKen4+2338ZXX30FhUKB1atXIysrC1OnTrXbd/To0XjggQfw1FNPAQB69uyJ/v3744MPPsAdd9wBtVqNK1euYMOGDXjmmWc8PlbiPZRx8o6wIOu0nMBZAAUVhgcyKXAymUzyVB0t8Osexq5zeMPcZ0lJCT788EOv3f706dMRExNT4/UtWrTAvn37sHz5cixbtgy5ubl46aWXHD6Hmzq3+zixLOuwTp0tV/o4KZVKbNy4EWPGjEGHDh0QFxeHY8eO4dNPP0W3bt3s9v3+++/Rvn17u23r16/Hvffei9TUVKSmpuLIkSMYM2YM/vGPf7jy8EgjU9jUOFHncM8JC7Jm8lQMdQ0PdFLgxPA8ePGMYZqqc5NdH6emMVUHAG3btsWiRYsAADdu3EDnzp3Rv39/dOnSpbGH5jPcqnF6+umn0a9fv1rrnVypcQKALl264MKFCzh8+DD0ej26d++OqGq+KW3duhWpqal221q2bInjx4/j+PHjKCoqQrt27dCiRQtXHhrxAayccaKpOk8KFTNOKlgDJ8o4BS6pxklNy63Um91UHRomcIqIiJCbQHvr9mtz5swZmEwmuWRGmtrLz8/32pj8kU/0cZIHo1Sif//+te5TU80TwzDo3r27y/dJfIdSKdY40ZIrHiWdVadieIAyTgFNyjgF2ZzVTIGTe+yn6homcFIqlbVOpXlbcHAwnnzySUBMSBw8eBCdOnWSa4mJlU/0cSIEABRixkngaJFfT5KKw6WMEwVOgavawImm6tyjVEKA9QtcU2lH0Lp1axw8eBBHjhzBtWvXMHv2bPTq1auxh+VzXF7klxBvkfo4MTwHBfVx8piwKoETTdUFLqVSCaVSWTlVp1RCERbW2MPyS3adwxtoqs4XMAyDXr16UcBUi3p9rdfr9Zg/fz66du0KrVaL9PR0TJs2DTk5OZ4bIWkyFGJTRgZ8Yw8loAQpFWAVDBWHNxHBwcFyxokW+K0HtuFrnIh/cDvjxPM8Ro4ciVOnTuGRRx7BxIkTkZ+fjw0bNmDLli04fvw4YmNjPTtaEtBY1lrjpBAcu8gT9zEMg7AgJVScNSCljFNg02g0UButGSe2jmJgUjOGAidSA7cDp927d+P06dM4ceIEkpOT5e1z587FbbfdhuXLl9e55AkhthQ2U3XEs8KClFDqKePUFGg0GqjFLvGslgInd9kVh1MWnNhwe6ru1q1bGDp0qF3QBPFN+eGHH8bNmzc9MT7ShCiU4psUZZw8LjSIhZpqnJoEjUYj1zixtKSU+5RKyjiRarkdOLVt2xaXL1+GIDi+oC5duoS2bdvWd2ykiWEUYsZJoG93nhaqZqkdQRMRHBwMlckMAFBowxt7OH6LpupITdwOnHr16oWoqCg8/fTTOHfuHIxGI7KysrBw4UJs27YNjz32mGdHSgKeVBwOyjh5XLi6skCYAqfAZp9xoqk6t9kETgqaqiM2XKpxWr58ebXdwleuXOmwbdasWS51DieEapy8J1xV+TtN1QU2jUYDldmacWIp4+Q2hmEgKKQaJ8o4kUouBU5Dhw7FmjVrnNo3LS3N3TGRJophK5dcIZ4Voqx846eMU2DTaDRQihknBdU41Q/TNLPgu3fvxrp165CdnY3WrVvj4YcfRr9+/eTrz5w5g48//hj5+fkYPnw4nnrqKbDijMGYMWPQqlUru8WKf/jhB7z//vuYOXMmRowY0SiPyZNcCpykRXQJ8QapxgmUcfK4ULYycKKMU2ALDg4GpIxTOAVO9cGLGSdFNbW8gWrx4sVYuHAhXnrpJYwYMQI3btzAzJkz8dprr2HUqFG4cOECHn30UUyePBmRkZGYN28ebty4gX/84x8AgB07diApKQnnz59Heno6AOCf//wnrl27hhs3bjTyo/MMj3QONxgMKCgosCsUDw0NrXaRXkJqwkhpcSoO9zgNy8Mg/k4Zp8CmCQoCL2ecaKquXqTi8CbynnTjxg288cYb+N///ocePXrI26dPn46SkhIAQIsWLXDo0CGoVNb5f5Zl8fHHH8uBEwBMmTIFn376Kd577z2cP38eBoMBXbp0aYRH5B31Cpz279+PadOm4cSJEw5n1z399NNU40RcwoipXoGm6jwuSGENnARAfsMjgSkIgFF8P+aDgxt7OH6t8qy6hgmcBJMJZi+28lE1bw6mlozzb7/9hrS0NLugCWK9V6S45mFISIjddXv27LGbxgOACRMmYOjQoXjnnXfw6aefYurUqfjmm288+lgak9uBU1lZGe6//3489thjGDZsGM6fP48nnngCq1evxqFDh/DSSy95dqQk4Mk1ThxN1XmaWmxFYAFLS3AEOI3FAmmJX0uQppFH49/kBpgNlHEy37yJSyPv9trtp/6wHeqUlBqvLy0tRXR0tHz5+PHjciPrMWPGYNq0aXb7f/bZZzh8+DB27txptz0kJASjRo3C2rVrsWXLFrz99tsBFTi53Y7gwIEDSE5OxrvvvosOHTogPj4e48aNw5YtW9C5c2ccOXLEsyMlgU+scaKMk+dJzS/NYBt7KMTLVOJyKwBgUlN2sT7kjFMTKQ5v3bo1zp8/D4vF+h6cnJyMF198EbGxsThz5ozdvp9++ik+/fRT7NixA6GhoQ639de//hUvvvgiRo0aZa27CyBuZ5wyMzPRqVMnQIwuS0tL5etGjRqFI0eOYOLEiZ4ZJWkSpBongYrDPY4VAyeToIAgCJR1CmBKk1H+3aj0SBlrkyU0cI2TqnlzpP6w3au3X5shQ4YgPDwcc+bMwfz58xETE4ORI0fiwIEDyM/Pl/d7//33sW7dOvz444/yFF5VHTt2xNatW9GxY0ePP47G5vZfFcdxUIp/lElJSTh27Jj8hpyZmUln7hCXSWlxOqvO81jxG7NZYGG08NCoKPMUqBQVegAAzzAwUIBcLw09Vceo1bVOpXmbSqXC1q1bMX78eKxatQrp6enQ6/UwGAxye4GjR4/ipZdeQv/+/TF+/HhAzEwtW7bM4faGDBnS4I+hIXjk68iAAQOg1+sxYsQItGzZEmvWrMH27d6LmklgkjNOHE3VeRojTn+aBRZlRgsFTgFMKCsDAJhVKsBkqnN/UjMp49SU+ji1b98ex48fx9mzZ5GdnY3k5GS0adMGCoX1uWjTpo3D53tYWJj8+9atWxER4dix/s0330R8fHwDPALvcztwuu+++zBs2DDrjSiV+Omnn/D3v/8dV65cwdKlS3HHHXd4cpykKRDPquMpcPI4hrf29TFDgXKjBbFh1JIgUPE662njZpUKnMFQ5/6kZgKsGTtFE2lHYKtDhw7o0KGDw/bIyEiMHDmyxuNqanDZvXt3j46vMbkdOMXFxSEuLk6+3KFDB2zYsMFT4yJNkVwc3nS+3TUUKYtnhjXjRAIXp7PWm5rUapj0+sYejl+Ta5zoPYnYcPusOkI8jqGMk7fwFjHjJLAoM9DzG8g4nQ4QAycDZZzqRUDTOquOOKdegZNer8f8+fPRtWtXaLVapKenY9q0acjJyfHcCEmTIS2oKX3IE8+xmG2m6kwUOAUyXgyczGoVBU71IAhCZY0T3/Sm6kjN3J6q43keI0eOxKlTp/DII49g4sSJyM/Px4YNG7BlyxYcP34csbGxnh0tCWziVB1lnDzPJJ6ibi0Op2/PgUzOOKko41QfAl+5GgZDveWIDbcDp927d+P06dM4ceIEkpOT5e1z587FbbfdhuXLl8sdRwlxioKm6rzFaBQDJ7AopxqngMaVVk7V6anGyW28beBEU3XEhttTdbdu3cLQoUPtgiaIC4g+/PDDuOnF9XZIYOLFtDhvoQ92TzOJp6WbBQqcAh1fQlN1nmB7Ih1Dy0ARG24HTm3btsXly5cdFvcFgEuXLqFt27b1HRtpYgTGmgDlKOPkcZUZJwVKqTg8oHHiKg4mFWWc6sM24wSB/mZqotfrMWDAgMYeRoNyO3Dq1asXoqKi8PTTT+PcuXMwGo3IysrCwoULsW3bNjz22GOeHSkJeLxcHE5vUp5ksVjAi8WtNFUX+GzPqquoqKj2yy2pm8BVPm8KyjjViOM4nDx50un99+zZg3HjxmHIkCF466235C91ANC3b188//zzdvsPGDAAubm5Hh1zfblU47R8+XJMmTLFYfvKlSsdts2aNQvLly+v3+hIkyKd+svzHK2n5kG2b0xmgaWz6gKYYDZDqKgAxKk6juNgMpkQFEQNT11ln3GiwMkTzp49izfeeAPTp09HZGQkXnnlFRQXF+O9994DAJw4cQIXL17EpEmT0LNnTwDAyZMn5VIDX+FS4DR06FCsWbPGqX3T0tLcHRNpoqR2BABgNptpvUMPsQucQGfVBTLOZrF1k/j3U1FRQYGTG3jO9qy6hvmbMZlMuHbtmtduv1WrVrW+rwqCgLfffhs7duxAaWkp0tLSsHHjRuTm5uLJJ5/Etm3bAAClpaUYM2YMdu7cKR+7adMmfPrppwgPD8f8+fPRrl07h9tPTU3Fzp075S/Fs2bNwkcffWS3z6xZs/Daa6/hxx9/9OAj9yyXAqfU1FSkpqZ6bzSkSeNBgZM32H5bMwsKmqoLYFIPJ0hr1YmBU1RUVCOOyj/xNr2bmAaqu7x27RrS09O9dvvnz5+vtf5469at+P7777F48WKEh4cjODgYEN9Dzpw5I+/HcRxOnTolX66oqMCXX36JOXPmYNeuXRg5ciTOnTvn8B5e9fJ3333nsDzbpEmT8Pnnn2Pnzp0YOnRovR+zN9R7kd9z585h06ZNuHr1Kpo1a4bhw4fj9ttvd+u2Tp48ic2bN6OiogL9+/fHfffd5/J0zZYtW7Bjxw7ceeedGDNmjFvjII2Dr5JxIp5hm3Gy0JIrAY2zCZykjBMViLvHbnm6JnLCSmhoKIqKinDx4kUMGTIErVu3duo4QRDwySefICoqCoMGDcLmzZvx+++/49ixY1i2bBkgLvJ7//33y8csXLgQOTk5WLFihd1tsSyL+fPn49VXX8WBAwc8/Ag9o16B09KlS/HCCy8gODgYycnJyMvLw7x58zB58mT5yXLW2rVrMXnyZEyZMgUJCQmYNm0a1q9fj/Xr1zt9G9euXcOkSZOg0+kQFhZGgZOfsc04+dqctj+zyziBllwJZNI6dQCA0FCA41Ah1jwR19g1wGygwKlVq1Y4f/68V2+/NsOHD8d7772HL7/8En//+9/Ru3dvfP3112AYxu4kA0uVE3hYloVWq5UvR0dHo7S0FA8++CAGDhwIAGjZsqV8/bx587B3715s2bKl2pmFBx98EIsWLcLmzZvr9Xi9xe3A6datW3jxxRexcOFC/O1vf4NSab2pbdu24aGHHsL999+Pe+65x6nbKikpwXPPPYfXXnsNf//73wEAo0ePRvfu3TF+/HiMHTu2ztsQBAFPPvkkpkyZgk8++cTdh0UakdTHCZRx8igp48QolBDAUHF4AON1JQAAJjgYweHhMBYXU+DkJvsap4b5m1Gr1Y3eymf06NEYPXo09Ho94uPjkZeXh7i4OOTn5yM7OxvNmjXDxo0b7Y7hOA7r16/Ho48+igsXLuDo0aPo1q0bmjVrhmbNmtntO3v2bBw7dgxbtmyBRqOpcRwLFy7E9OnT7aZMfYXb7Qj27t2LAQMGYMaMGXLQBAD33HMPpk+fjl9//dXp29q2bRt0Oh2eeuopeVtGRgZ69OiBdevWOXUb77//Pm7evIl//OMfLj4S4it4hqbqvEHKOCnEmheqcQpcUsaJDQ9HSEgIINafENfZnVXXRKbqVq9ejYyMDGRkZKBly5Z48MEHER8fD7Vajeeffx7t2rVDWlqawxRacHAwvv76a6SlpSEjIwP/+Mc/HAImADh48CAWLVqE69evo1+/fsjIyLCbvrM1bNgwtGjRwienmt3OOBmNRkRERFR7nVardalz+IkTJxAREYGkpCS77Z07d8ahQ4fqPP7s2bOYM2cOfvzxx1ojWOLbOFDGyRukjJNSaQ2cqMYpcEk1TmyElgKnerKfqmsaZ6Lefffd6Nq1KxQKBRITExEXFydft2jRIrzwwgsICgpCZGQkzp49CwAICQnBwYMH0aVLF9y8eRMhISGIjIys9vY7d+6MY8eO2W2z/cw+dOiQ3YkM69atQ2ZmJhISErzwaN3nduDUvXt3/PWvf8Xx48eRkZEhb8/Pz8dnn32GV1991enbKigoqPasj6ioKBQUFNR6rMViwcSJEzFp0iTcdtttLj0GnU4HnU0x5a1bt1w6nngWB8o4eYMUOKnEWgKDmYeF46Fk3U44Ex/Fi+vUKcIpcKov26k68E3j/SguLs4uWKqqefPm8u+dO3cGACgUCnTp0sXh+uqEhobaxQtVde3a1e5yTEwMYmJinB5/Q3E7cOrUqRMeeOAB9O7dG/fccw9at26NvLw8fPfdd0hJScEjjzzi9G1VLTyTCIIAhaL2N/e3334beXl5WLhwocuPYcmSJZg7d67LxxHvoMDJO6SpOtsizHIjh4gQCpwCDSeuU8dqKwMnX5zq8Ae2n0kMrWZAbNTrrLpVq1Zh6NChWLduHbZt24ZmzZph5syZmDVrlktTZgkJCcjPz3fYnp+fj/j4+DrH0Lx5c8yePVveptfr8dNPP6GsrAwLFixAeHh4tcfOmDEDkydPli/funULffr0cXrcxLN4m9YTFDh5jpRxsm2CWGayICJE1YijIt7ASRknbWUPHso4uceuOJyj9yNSye3AacuWLTh9+jReffVVTJo0qV6D6NWrF8rLy3Hu3Dm7bqNHjhypc/HAuXPn2k23QTw1MiYmBu3btwfLsjUeq9Vq7U6hJI2H5wXwTOXLkQInz5ECp2BNZeBEBeKBiZczThE0VVdP9sXh9H5EKrkdOJWXl9t1Dq2Pu+66C82bN8f777+PpUuXAgB+/PFHnDt3zqEf1PPPP4877rhDblEwceJEh9ubM2cOevTo4bBYIPFdZp4HQw0wvcJgMAAAQsUPUlCBeMCSllxhtfZn1dHaj66zXeSXpuqILbeLHPr06YMDBw545NuMRqPBF198gXXr1mHEiBF47LHH8OCDD+KNN97AoEGD7Pb96KOPsHfv3nrfJ/EtFk4Aw1LGyRukwCk8NFjeRhmnwMSJfZwUNjVO0kK/xDWUcSI1cTvjxLIsUlJSMHDgQEyaNAmJiYl232hat24tr27sjCFDhuDSpUvYsWMH9Ho9XnvtNXTs2NFhvw8//BDdu3ev9bYWL14sV/wT/2DhBUBBncO9QSoODg0JgYo1w8wJ1D08QPFyH6fKwAm00K9b5MBJ4JtMHyfiHLcDp59//lleGfmFF15wuP7pp5/G8uXLXbrNmJgYTJgwodZ9nJl+mzJlikv3SxqfhZOm6hgAAmWcPEjKOAUHByM0qBzFFWaaqgtAgiDY9XGSisMhBs+00K9rpD5OjMADnO91r25oFRUV6N69O86dO9fYQ2l0bk/VTZo0CXq9vsYfWvaEuMIifbsTp+socPIMQRDkjJNGo0FYkPX5pam6wCNUVABio0ZFNRkn4hrprDpG4CFQxgk8z+PGjRuNPQxALNlJSkrCmTNn5G1paWkOiZd27dohOzvb4/dfr6m62s5YI8QVZvEbHcMqIXBmCpw8xGw2y2s92QVOpqbRCbkp4WzOLmYjtFAqlVCr1TCZTBQ4uaEy48QBFvp78RUXLlzA5s2bwfO8XUlHVlYWSktLsXfvXrkZ9o0bNxwWJPaEenfAEwQB58+fx44dO3Dy5EmqTSFusUjf7sQ6JwqcPEOapoM8VWcNnGiqLvDYBU5i7zpqSeA+Xg6cBAgNtOQKZ+FRnFPhtR/OUveUY7t27ZCUlIROnTph+vTpDg1Uly9fjp49e2LIkCH4/fff5e179+7F8OHD0aFDB0yePFle9WPevHl4//335f0KCgrQpUsXOVY4deoU7rvvPrRr1w733HMPTpw4UePYeJ7Hs88+i48++qja5thz5sxxadUSd9WrAeaRI0cwZcoUu7VnkpKS8MEHH+CBBx7wxPhIEyFP1Sloqs6TbN/0NBqNHDjRVF3g4W0CJ4W4jmhISAiKi4spcHJD5VQd12BTdaUFBnzx5gEn9nTPo3P7ITIhpNZ9du7cCZ7n5QbSH3zwgdxguqKiAgcPHsTatWuxa9cu3Hfffbhw4QJ0Oh3GjBmDDz74AD179sRbb72FKVOmYNOmTRg1ahQee+wxvPjiiwCAL774An369IFarUZhYSEeffRR/POf/0R6ejoOHz6M+++/H5cuXaq2fcaSJUtwzz332PV7tDV+/Hh89tln+O677zB69GiPPGfVcTtwKikpwciRI9GvXz8sWbIEKSkpyM/Px9q1a/HQQw/hwIED6NWrl2dHSwKWRZxOooyTZ1XNOIUFWZ9fOqsu8MgZJ4UCCjHTRBkn99kVhzehqbqvv/4aq1evRk5ODioqKuzeQyAGL+Hh4ejQoQM+//xzHDlyBFlZWRgwYAAef/xxQKxBSkxMBMdx6NmzJ1QqFQ4ePIi+ffvi888/x7///W9APMns4sWLdit4ZGdnIzMzE19++SU++OADQDxTvnv37ti+fTt++umnGsfOMAzeeecdzJ49G/fcc4+XnqF6nlUXHx+PzZs3Q6m03kxKSgp69eqFoqIifPXVVxQ4EadJU3VUHO5ZUsaJYRio1WqEqmmqLlBxciuCcDDiNIYUOJWXlzfq2PwRz9sWhzdM4BQeo8Gjc/t59fZrs2fPHvz73//GypUrkZycjO+//x47duyQr1coFHZna4aGhsJgMMBgMNidjBASEgKe52GxWMCyLJ544gl8/vnnCA4ORmlpqVyDpNfrcfvttzucgZ+YmIhnnnlGLvaOjo7GggULcPToUbRs2RIQA6y77roLK1eutAuS7r77bixatAjr1q2r9/NVE7cDJ4VCgc6dO8tBk61u3bohNze3vmMjTYhcHE4ZJ4+Svi0GBQVBoVAgTCMVh1PgFGh4m+aXEmmdzrKyskYbl7+yKw5voMCJVSrqnErzppycHDRv3hz9+vWDwWDA5s2bERoaKl/PcRw++eQTPP/88zh69CiOHz+O7t27Izk5GTNnzpSXTfvggw/Qo0cPuXfYY489hi5duoBhGDz55JPy7Q0aNAgvvPACLl++jNtvv91uLFWXRJs1axaeeeYZ+XLv3r2xatUqhybZALBw4UI89thj8okxnuZ24JSRkYG//e1vKCgoQExMjLyd53ls3boV06ZN89QYSRMg1TgxYo0TnWTgGVLGSfqWGCYXhzedqYemQs442XzYhIWFAQBKxaVYiPPs2xE0jb+Xu+++G++99x6io6MREhKCESNG2L12QkJCcOLECcTGxsJoNOLjjz9GbGwsYmNj8dZbb6F3795gGAZJSUlYv369fFxCQgL69u2LZcuW4fLly/L2Nm3aYMWKFXjkkUeg1+sRHByM+Ph4HD161GFsVQMplmURHx9vlwGT9OvXD126dMGlS5c8/AxZuR04MQyD1NRU9OzZE1OmTEFKSgry8vKwbt06udfDxo0bATe6iJOmp3KqjjJOniRlnDQaa4qeisMDl1TjpNCGy9ukjFNpaSmtV+cieaoOTSdwCg0Nxf79+1FUVISoqCgYDAZ5mjc0NBQXLlxA8+bN8cEHH0CtVtvNOD333HN49tlnUVpaigjx5ARb//3vf1FWVobExES77Q8++CAefPBBFBYWoqKiwuk2R7///rtd0ubSpUuIjo6WL3/xxRcoLCx0uD9PqFeN0+7duwHxFMCqHnroIfl3d7qIk6alsjicapw8ybZrOGwCJyoODzzSWXWstvJDSwqcOI6DwWCo9ts5qZ59cXjT+nuRusxrNBr5SxfDMGjevDlgUztXlUKhqDZogvhalF6P1YmOjrYLfOrSrFkzu8stWrSwuxwSElLjOOvL7cBp0qRJeOyxx5y7k2rqoAixJfdxouJwj7LtGg5APquOMk6BR15uxSbjJE3VQcw6UeDkvMYoDif+gTqHE59g2zkcFDh5jMNUnbqyOJymbgILVypN1TkWh0MMnOLj4xtlbP6oanE4/b0QSb07hxPiCZz0JkU1Th7lUBwunlXHC4DeTN+iAwlf4jhVp1ar5TOb6Mw619gWhwNosDPriO+jwIn4BLMYOLGUcfKoqhkn6aw6UC+ngMOVSmfV2deR0Jl17rGdqgMAwUuntrMsC7PZDI4CM6/jOA5ms7nes2VUfER8gkWcqlNQ4ORRVTNOobaBk8GC+JprNYmfqTyrTmu3PTw8HAUFBRQ4uUiomnGyWAC12uP3ExERgbKyMly+fBkqlcrjt08qmc1mWCyWGgvYnUWBE/EJUnE4BU6eVVvGqZx6OQUMwWyGIC6rwlYTOIGm6lzmkHHyUkZI6k1UUlJCWScv02g0iIiIsOsH5Q4KnIhPMItpcIWSAidPsVgssIinUUuBU7im8k++1EDPcaDgSkrk39kq36Zpqs49dsXhAAQvtiSo2tyR+DaqcSI+gZNrnKypauocXn/SNB1spuqCVSyUCuuZQTrq5RQwuOJi+Xc2MtLuOtsmmMR5VTNOVBxOJBQ4EZ9gFqfqWMo4eYztqua2Tey0wdbgVEcZp4DhTOBUVlYGQRAafGz+ymGqrok1wSQ1o8CJ+ASpOJwCJ8+pLuMEAFpxuk6np+c4UMiBE8tCEV79WXVmsxlGo7ExhueXKovDvT9VR/wLBU7EJ0iL/LJKazaEAqf6s804Sb18AFRmnChwChhS4MRGRDg0aazaBJM4pzLjZP2/YPP3RJo2CpyITzBTxsnjpMBJrVbb9S3RaqSpOvoGHSik4vCqheGoEjjRmXXO46tknHjK1hERBU7EJ3CUcfK4qj2cJBGUcQo4csapSn0TxGyj1B+IMk7Ok+rB5BonCpyIiAIn4hOk4nAlZZw8pry8HAAQGhpqt10bLNY4UXF4wKgtcEKVXkHEOVUbYFLgRCQUOBGfIBWHKynj5DHStIxUHCyRp+r0NFUXKOoKnKKiogAAxTZn35Ha8VX6OPFU40REFDgRnyAVhytVFDh5So2BE7UjCDhckXOBU2FhYYOOy5/JgZPY90wwUm85YkWBE/EJFl7KONFUnadI9SyOGSdqRxBouBLnAqeioqIGHZc/k6fqWOvHpGCkjBOxosCJ+ARprTop40Sdw+uvroxTCQVOAcNi046gOlLgROuhOU/KOCnET0k6q45IKHAiPkEqDldRjZNH8DwvF4eHV2mIKAVO5SZOri0j/ksQBHDFYjuCOjJOgiBQgbiTpLXqFFLGyUCBE7GiwIn4BHmqjmqcPEKv14MXn9OaisMBoJR6Ofk9oaICEP9e6gqcQNN1TnOocTJR4ESslE7s02BycnLwww8/oKKiAv369UP37t2dOo7neezbtw9nzpxBdHQ0Bg0ahGbNmnl9vMRzpKk6FQVOHmHb6LBq4BQRXPlnrzOYERWqbtCxEc+yW6cuqvrAKSgoCKGhoSgvL6fAyUlSA0yWtQZONFVHJD6Tcfrpp5+QlpaGjRs34siRI7j99tvxyiuv1Hncnj17kJ6ejscffxzHjh3DihUrkJqaiqVLlzbIuIlnSBknCpw8wzZwcujjZJNxopYE/s9SywK/tujMOtdIU3WM2HWfpuqIxCcyTnq9Ho8//jgmTZqEf//73wCARx55BMOHD8fIkSMxdOjQGo89cuQIBg8ejI8//lhej2vBggWYPn067rrrLrRp06bBHgdxn5xxUluzHxQ41Y8UOAUFBUGtts8oSTVOoJYEAcEu41RDcTjEwCkrK4syTk6Si8OVYo0TTdURkU9knH744Qfk5ORg+vTp8rZhw4ahQ4cOWLVqVa3Hjh49GsuXL7dbxPSBBx4Ax3E4fPiwV8dNPMcsvkmpqR2BR9R0Rh0ABCkVUIsFr3Rmnf+TAidGo4FCo6lxP2pJ4Bppqk4KnHjKOBGRTwROR44cQVhYGNq2bWu3vUePHjhy5Eitx6alpTmsBn7mzBkAQKtWrbwwWuIN0tldUsbJYrHIa0UR19UWODEMU9kEkwInv1dX13BJdHQ0IAZO9LdVt8qz6sSpOqpxIiKfmKrLzc1FTEyMw/aYmBjk5eW5dFtlZWV49dVX0alTJ/Tu3bvWfXU6HXQ6nXz51q1bLt0X8Rypc7haVTmNZLFY5Jon4praAieI69Xllxlpqi4AOBs4SRkno9EIvV6PkJCQBhmfv5Kn6lTWwImnBphE5BOBE8RvwdVtc+WbkcViwYQJE3Dz5k3s3bsXrPhNoSZLlizB3Llz3Rov8azKjFNloGQymShwclOdgROtVxcw6urhJLFtSVBQUECBUx3kjJNSyjhRU15i5RNTdTExMdWe6VFYWFhtJqo6giBg0qRJ+OWXX/Ddd9+ha9eudR4zY8YMZGZmyj+HDh1ya/yk/qrLOFGdk/vqzjjRenWBoq7lViTh4eHQiDVQOTk5DTI2fybVODEqa35BoEV+icgnMk4ZGRnQ6XS4fv06WrZsKW8/deoUunXr5tRtPP/889iwYQO2bNmC22+/3aljtFottFqt2+MmniN1Dg+yOQOMAif31Z1xovXqAkXlVF3NZ9RBzOA3a9YMV69eRXZ2dgONzn9JU3WsVBxOZ9URkU9knO6++25ERkZi2bJl8rbff/8dx48fx6OPPmq377vvvovdu3fbbZs9ezaWLVuGjRs34s4772ywcRPPkafqKONUbxaLBXq9HnAq40RTdf7O2ak6AHJjYAqc6iZP1ckZJwqciJVPZJy0Wi0++eQTPPHEE8jOzkZCQgKWLVuGiRMnYvTo0Xb7zpo1CzNnzsTgwYMBAJ9//jkWLVqEoUOH4s8//8Sff/4p7zts2DD06NGjwR8PcR0nvklpgijjVF/SGnWoJXCKoIV+AwaXnw8AUIpnzdVGCpxycnLA8zwUCp/47uyT+KqBE51VR0Q+ETgBwMMPP4xu3bph8+bN0Ov1+Pzzz3H33Xc77Ddz5kwMGTJEvtysWTPMnDkTqOZblO0HCPFtZrFzuJqm6uqttLRU/r3u4nB6jv2ZIAgwi2ceK+MT6txfCpzMZjMKCwsRGxvr9TH6K0Hq46S2fkzSkitE4jOBEwC0b98er776aq37vPvuu3aXR44ciZEjR3p5ZMTbLFTj5DHSiRYqlarWdgSg4nC/xxUXywv8KuPj69w/NjYWCoUCPM8jJyeHAqdayDVOlHEiVVCelvgEuTg8iGqc6qugoAAQGx5W1+YD1I4gYFhyc+XfnQmclEol4uLiAKpzqpUgCODM1iy4QnxPorPqiIQCJ+ITpEV+1SrKONWXlHGKrqXmRapx0ps5GMxcg42NeJZ94BTn1DFUIF43i4mH1EIwKEScqjNRHydiRYET8QkcR8XhniJlnGrrgRYXXrm2Y14pTUH4KylwYiMjoaiymHNNpMCJVkqomcnmbFN1iPV5FYxGWqqGABQ4EV8hFYdrbN78TfQNz2WCINhN1dUk3iZwyqXAyW9JgZMz03SSxMREQOz1RQv+Vs+kdwycwPNyPRlp2ihwIj7BQjVOHlFRUQGjWMRaW8YpKkQNpcJa/5Sro9oNf2V2I3BKSkqCUmmdfrpy5YrXxubPTPrK6eugsMovczRdR0CBE/EFgiDIS65o6Ky6epGyTagj46RQMHLWiTJO/suSK7UicD5wUiqV8goNFDhVz26qLixY/p0KxAkocCK+QGp+CQBqNWWc6kMqDFer1TW2IpDEacV1yyjj5LfkqboE5wMnAGjdujUgBk5Ut+NICpwUSgaq0MppbWpJQECBE/EFFtvAiVXITTApcHKdbWF4Ta0IJAmUcfJ7UuCkciHjBABt2rQBxDqnPLGBJqkkTdWpNUooxIWRQU0wiYgCJ9LozOI6dQCgZBXyenUUOLnOmcJwSbyWAid/JnAcLNJyKy4GTomJiQgKsv7703SdIynjpNawYIIo40TsUeBEGp1UGA4ASpahwKkepKm62grDJfHh1m/SVBzun7jCQoCzZkZcDZwUCgVSUlIAAJcvX/bK+PyZdFadOlgJxqbukqcaJ0KBE/EFUisCAFAqKHByF8/zTjW/lCRQxsmvmV3sGl5VWloaAODSpUswUEBgx2SofqpOMNJZdYQCJ+IDbIvDlQqaqnNXQUGB3Psq3okPUinjVFhugsnC17k/8S1y13CGgdKJDGNVHTt2hEKhgMViwdmzZz0/QD8mT9UFK6tM1VGASShwIj7AdqpORVN1bsvMzATExX0TEhLq3N+ue3gZZZ38jdSKgI2NAaN0fb320NBQOet08uRJj4/Pn5n1NjVOCgUY8T2JisMJKHAivqCm4nDqHO6a69evA2KDQ5Zl69w/QVs5BUF1Tv5HPqMuzvVpOknXrl0BsUC8pKTEY2Pzd0abs+oAyFknKg4noMCJ+AKL3VQdZZzcJWWckpOTndo/JlQNVuwenqOjDwR/Y862rjXnTn2TJD09XW7/QVmnSmZ5qs76BYQR65wocCKgwIn4AvuMEwVO7igvL5dbETgbOCkUDOLCrN+k80op4+RvTJesZ8OpxWaW7lCr1ejcuTMA4ODBg/Q3J5JqnFRixklaQJk3UOBEKHAiPoCKw+svKytL/j0pKcnp46ReTpRx8i+CIMB46RIAICgttV63NXDgQDAMg7KyMhw9etRDI/RvUgPMoGBxqo4yTsQGBU6k0ZmrFIdT53DXSdN08fHxCA4OrnN/SeV6dZRx8ieW3FzwpaUAgCCxwNtdMTExctZp3759sFgsdR4T6GwbYMK2xslEgROhwIn4AAt1Dq+3q1evAi5M00nixQJx6uXkX4wXL8q/q1Prl3ECgEGDBgEAdDodDhw4UO/b82eCIMgNMOWpOjFwoqk6AgqciC+g4vD6KS4ulqfqUl38EG0mBk43ivReGRvxDpMYOCmbNQNbx2LOzoiPj0dGRgYAYNeuXcgXl3JpiiwmHtK6x+pgOquOOKLAiTQ6g5mTf1dRxsllp06dAgAEBQWhbdu2Lh2bnmD90L2cX27370B8m/GiVN9Uv2k6W3feeSdCQ0NhsViwZcsWcFzTfD1I03SwrXEKEovDqQEmocCJ+IKbxdZsR4I2CKyCQUhICABQXxknCIIgn0besWNHOeh0VqfmEYBYoH8+p9QrYySeJxeGe2CaThISEoJRo0YBYk+wH3/80WO37U+kaToAUIk1ToogqTicessRCpyID8gSp4mSoqwBk7T4KK3aXrecnBzk5Vk7SEvNDF2RFBWMcLGO4/RNncfHRzxPEAS5xkldzzPqqurYsSN69eoFADh06BD279/v0dv3B9IZdaiuASat6UcocCK+ILOoAhA/xGFTp0OrttftyJEjAACtVotWrVq5fDzDMOiYqAUAnL5JGT5/YMnLA6+zBrmenKqT3H333fLf4I8//ojffvsNgiDUeVygsJ2qq2yAKRaH01l1hAIn4gsqM07WwKlNmzYAgFu3bqGioqJRx+bLCgoK5MCpR48eUCjc+3OWpuvOUMbJL5jEaTp4eKpOwrIs/vKXv8hnaP7666/49ttvYWwihdFS4KRgGbBK69+UQi1lnJrGc0BqR4ETaXRVp+pszwyj6bqa/fLLL+B5HqGhoejfv7/bt9OxuTXjdPZWqV0zUuKbKo4dA6Qz6rRar9yHRqPB448/jvT0dADA8ePH8emnnzaJv0dpqk4drATDWJckogaYxBYFTqRRlRstKCy3Flwmi4FTq1at5OzJJZtv16TS5cuXcebMGQDA0KFDESTWYLijkxg46c0crhaUe2yMxDvKfvkVABA26Dav3o9arcbDDz+MIUOGgGEYFBYWYtWqVfjyyy+RnZ3t1ftuTFJxuNT8EnZn1VHgRABlYw+ANG03iiv7B0lTdWq1GsnJybh27RrVOVWjqKgIGzZsAADExcWhe/fu9bq9tPgwqFkFTByP0zd1SI2rf18g4h3m7GwYTp8GAIQNG+b1+2NZFkOGDEFqaiq+++475OTk4OzZszh79ixat26Nbt26oUOHDvUK3H2N3DU8uPLjsfKsOgqcCGWcSCPLEgvDGQZIjNTI26U6J8o42SstLcW6deug1+uhVqvx0EMPgWVZJ46smYpVIL2ZNVg6kVnsoZESbyj91ZptYkJCEFqP6VlXJScn45lnnsG9996LyMhIQJxG/+abb7B48WJs2LABJ06cCIgWIiaDOFWnqQyc6Kw6YosyTqRRSfVNCeEaBCkrA4DU1FTs3LmTMk42bt26hXXr1kEnnlE1btw4xMXFeeS2+7eJwR83dPj2+A28PLKd3b8F8R3yNN3AgVBoNHXu70kKhQI9e/ZERkYGzp49i+PHj+PSpUuwWCw4ffo0TouZsOjoaLRq1QqJiYlITExEQkKCvP6kP6i6Th0AKKSz6ihwIr4WOBkMBuzbtw8VFRXo1asXEhMTG+RY0niqnlEnkTJOFDgBer0ev/32Gw4ePAie56FUKjF27Fi5cNcTHunbCsv2XEF+mQk//JGN+zJaeOy2iWdYiopQfugQACBsuPen6WrCsiw6d+6Mzp07o6ysDKdPn8aZM2eQlZUFjuNQWFiIwsJCHBOL2AEgIiIC0dHR8k9UVBQiIyMRFhaG0NDQemdNPcmsd5yqUyUlAQAsOTkw37gBVQv6+2jKfCZwOnLkCO699140a9YM8fHx+O2337Bw4UL87W9/8+qxpHFlVenhJJHOrLty5Qp4nnf7VHt/xfM8srKycPLkSZw4cUJefkar1eKhhx5CkvhG7imtY0MxOD0Ou8/nYdX/rlLg5INyFy4CzGYwGg3CBg9u7OEAAMLCwtC3b1/07dsXZrMZmZmZuHLlCm7cuIFbt25Br7d+MSopKUFJSUmNZ+WFhoYiLCxM/gkNDUVwcDA0Gk2NP0pl5VlvnmTUO07VhfTtC0VYGPiyMuh2/ISYSU96/H6J//CJwMlsNuMvf/kLhg4dii+++AIA8NVXX2H8+PEYMGCA3MnW08eSxle1FYFEyjgZjUbcvHnT44GCLxEEAeXl5cjNzUVWVpb8Y9vDimVZ9O/fH4MGDfJaIe4TA1ph9/k8HL1ejD0X8jCorWemAUn9le3Zg5JvvwUAxE2fDmVUVGMPyYFKpUKbNm3kv11BEKDT6ZCdnS1noQoLC1FUVISioiK7pprl5eUoLy9HTk6O0/enUFjXtVSpVFCr1fLvtV1WKpU1/rAsC97MIPuytc5PE2ZTHK5WI2zYUOi2bEXpDz9Q4NTE+UTg9PPPP+PKlSv4VnxjAICHHnoIr776KpYvX15r8FOfY0njq2mqzraX04ULF/wqcOI4DiaTye7HYDCgoqJC/oCoqKhAWVkZiouLUVRUBJOp+jWwoqOjkZGRgZ49eyI0NNSr4x6cHo82caG4nFeOKat/x6eP98LgdAqeGpMgCNB9vw3Zb70FANB07ozoJyY29rCcwjAMIiIiEBER4XAdx3EoKyur8ae8vBwGg0H+qe7vg+d5GI1GjzbmDNW1QYg+CQI4/Hz0a5wpiMPQoUORkpIC7ciR0G3ZCv2JEzDfugUVlYM0WT4ROB08eBDBwcHo3Lmz3fbevXvj4MGDXju2IX3/0WYYiqt2wa6+2aBQpQlhrS0JhZr2FRy2MoLD7g63LV1mxB2rvfUaDhJqH6n1WkGAlFzPKzPiHp212FK1LQe/7lLb3XjfdkNQptfj9WlvYXj37xCqCYaKZaFSKgGmymMXrPcuf4sVrD+C3agE6yGC7YMQwFc5RnokgiBU+eEh8OJt8tZbtr9OAM9bf3eXSqVGSEgwgoODERISAo2RQWb2SWT+cNLxH68W7i6R8bCRw+GrhdCbOfzn2B58FaxCdJgawUoWLMtAwTBQMAADZ6ZInBuD9ba82XhTflV79FYZl55jFx+f0QhFeRnYnGwoSnUAEiBEJkGffhf4Jd86cQO188YUl6ze/5QqAJHyJbUSULE8BJ4Hb7GA4znwPAee4wCeBy9YrxN4HjzPWX8XpMs21wkcIP59CoJQuZ8gAGCgYcIQE9QcYIAs40lkXjiBMxesX87DouIQHhGFVKMRCrMZP0x4DOVt0gGWFc9NZ8SHzti/zLz5PDdR3QcNwuhHxjXqGHwicLp16xbi4uIc/pjj4+Oxe/durx2r0+nkM5Sk2/KW7EMVMATTNxRbLIBE8WSb7Gygaku9x4e8Uf2BQi1vzkyV//sxo97609C6J9RyZW3PPfEctfgTBdiG4ZpCAIWNOC5/xohvOnUoKc/Hv9bPgclSyxl0N7KA3b96dHjEOY/8fogCJ4hp2+qKf1mWhcViqfYYTxy7ZMkSzJ07140Rk0DD1yNL5HMCbEHWgHo0AfdvEziPR1dRiOzia9hxbF3tQRNp8nwicIqKiqq2cVpxcTGio6O9duyMGTMwefJk+fKtW7fQp08fl8burInLHwbLVgZ4Te0sMU9qSiu1k7rR64F41ssu7V3b649em4HJJwKnLl26oKioCDk5OUhIqJwnOHv2rEPtkieP1Wq10HppkcyqVCqfeKoDglfrM4jfodcDIaQh+UTa45577kFISAjWrl0rbzt//jwOHz6McePs5zLXr1+P48ePu3UsIYQQQkh9+EQaJDY2FosWLcKsWbNQVlaGhIQEvPfee7jjjjvw8MMP2+07YcIEzJw5ExkZGS4fSwghhBBSHz6RcQKA559/Htu3b0dubi4OHTqEl19+Gd9//71DLdDDDz/ssBq8s8cSQgghhNQHI1D1miwrKwvJycnIzMz0q4aLhBBCCHGfK5//lJIhhBBCCHESBU6EEEIIIU6iwIkQQgghxEk+cVadr5A6jXtz6RVCCCGE+Bbpc7+uFUdAgZO9vLw8APBa93BCCCGE+K68vDykpKTUug+dVWfDYDDg1KlTiIuLg1JJMaUzpGVqDh06hMREWsTYG+g5bhj0PHsfPccNg55n11ksFuTl5aFLly7QaDS17kvRgQ2NRoPevXs39jD8UmJiIrVw8DJ6jhsGPc/eR89xw6Dn2TV1ZZokVBxOCCGEEOIkCpwIIYQQQpxEgROpF61WizfffBNarbaxhxKw6DluGPQ8ex89xw2DnmfvouJwQgghhBAnUcaJEEIIIcRJFDgRQgghhDiJAidCCCGEECdRHyfiNqPRCLVaDYZhnNrfZDKhoqLCYXtISAjUarUXRug/DAZDnU3XvHFsU8JxHDiOc+m1Vlxc7LBNqVQiLCzMw6MLDIIgQKfTISgoyK3XpF6vR3BwsFfGFkgqKipgsVicLv7mOA6lpaUO24OCguj5dgNlnIjLfv75Z3Ts2BFarRZhYWGYOnUq9Hp9ncetXr0aUVFRSElJsfv54osvGmTcvmjz5s1IS0tDZGQktFotZsyY4dRaSfU9tinJycnB/fffj9DQUISHh2PgwIH4448/6jyurKwMUVFRSEpKsnu9jh8/vkHG7U9u3LiB+fPnIz09HZGRkVi4cKFLx3/44YdITExEVFQUEhIS8N5773ltrP7KYrFg06ZNGD16NCIiItCmTRunjz127BiioqLQsmVLu9fy66+/7tUxByyBEBecOXNG0Gg0wrx58wSLxSJcunRJaN26tfDEE0/UeeyyZcuE0NDQBhmnP9i/f7/Asqzwf//3fwLP88KpU6eEhIQEYebMmV49tinheV7o16+fMGDAACE/P1/Q6/XCE088ISQkJAjFxcW1HltaWioAELZu3dpg4/VXb775pvD6668LFy5cEIKCgoQ333zT6WPXrFkjqFQqYdu2bYIgCMJPP/0kBAUFCcuWLfPiiP3PH3/8ITzwwAPC1q1bhRdffFGIiYlx+tjDhw8LAIQLFy54dYxNBQVOxCWTJ08W0tLSBJ7n5W2rV68WGIYRsrKyaj2WAid7Y8eOFfr06WO3bcmSJUJQUJCg0+m8dmxT8vPPPwsAhEOHDsnbSkpKBI1GI7z33nu1HkuBk3tcDZw6dOggTJw40W7b1KlThTZt2nhhdIFh5syZFDg1IpqqIy7ZuXMnhg4dalfXNGzYMAiCgF27djl1GxzHwWQyeXGU/mHXrl0YPny43bZhw4bBaDTif//7n9eObUp27twJrVaLXr16ydukyzt37nT6dpyZiiauy87OxtmzZ6t9LV++fBnXrl1rtLEFIkEQYDAYGnsYfo8CJ+KSq1evIjk52W5b8+bNoVAocPXq1TqPr6ioQFhYGMLCwpCSkoIFCxY0ySCquLgYxcXFDs+ldLm257I+xzY1V69eRVJSksMJDMnJyU4/T+PGjUNERARiYmIwfvx4+jD3IOnfgF7LDaNr167QarVo1qwZnn/+eRQWFjb2kPwSBU5NmMlkkj+Ea/opKSmR9zebzeA4zuFsGYZhEBQUVOe38ri4OKxZswa5ubkoKyvDu+++i3feeQdPP/201x6jr5Keq6rPpXS5tueyPsc2NXq9vtqzuzQaTZ3PE8MwePHFF3H+/HkYjUbs3r0bV65cQb9+/VBQUODFUTcd9FpuGBqNBosWLcL169eh1+uxYcMGbNu2DXfccQedUOIGakfQhK1atQqzZs2qdR+NRoPs7GwAgEqlgkqlcmgpwHEcjEZjnado33fffXaXx40bh/Pnz2POnDl49913kZCQ4PZj8TehoaGAmIGzVV5eDgC1Ppf1ObapCQ0NrbYFRnl5eZ3PU2hoKP71r3/Jlzt37ox169YhNTUV//3vfzF9+nSvjLkpoddyw+jcuTM6d+4sXx40aBD+7//+D6NGjcLOnTsxYsSIRh2fv6GMUxM2ZcqUOjNOUtAkSUtLw5UrV+y2Xb9+HTzPIzU11eUxdOzYEYIg4ObNm/V+PP5Eq9UiLi7O4bmUpiZqey7rc2xTk5aWhuvXr4PjOLvtV69edet5atOmDTQaDbKysjw4yqZL+jeg13LD69ixIwDQa9kNFDgRl9x55534+eef7dK727dvh0qlwtChQ+Vt0jQgz/O13t6BAwfAsixatWrl1XH7ojvvvBM//PADbNfZ3r59O8LDw9G/f395m9FoRHFxsd1+zh7b1N15552oqKjAb7/9Jm/LycnBsWPHcNddd8nbBEFAcXExjEZjrbd3/PhxGAwG+kB3U0VFBXQ6nXw5JiYGPXv2xPbt2+322759O7p06YLExMRGGKV/4zgOxcXFMJvNte534MABgIJT9zT2aX3Ev1y/fl2IiooSpk6dKmRmZgq//vqrEBcXJ8yaNctuv6VLlzqc/jp69GhhzZo1woULF4SLFy8KixcvFlQqlTBjxoxGeCSN7/Tp00JISIgwa9Ys4caNG8J3330nhIeHC4sWLbLb76233hIACEVFRS4fS6yvuw4dOghHjx4VLl68KIwcOVJo27atoNfr5X2KiooEAMJbb70lb1u4cKHw97//Xfj999+FGzduCFu3bhXS0tKE9PR0oaysrJEejW8yGo1CUVGRUFRUJAQFBQmvvPKKUFRUJJSUlNjt9+ijjwoJCQl227Zt2yawLCt8/PHHwq1bt4Rly5YJLMsK33zzTQM/Ct9XXFwsFBUVCc8//7wQHR0tP+cmk0neZ//+/QIAYcOGDfK25557Tnj//feFU6dOCdevXxfWrFkjxMbGCsOHD7drLUOcQ4ETcdmJEyeEu+++W0hISBDatWsnzJ8/X7BYLHb7fPbZZ0JERIRw+fJledvFixeFyZMnC+np6UKrVq2E4cOHC19++WWT/sPdv3+/MGzYMCEhIUHo1KmT8P777zvss3jxYiEiIsKhYaMzxxJrP6YXXnhBSElJEZo3by5MmDBByMzMtNunuLhYiIiIEBYvXixvKy8vFxYvXiz06dNHSExMFHr37i3MmTOnzsaZTdHq1auFiIgIh5/09HS7/aZOneqwTRAEYfPmzULfvn2F+Ph4oXfv3sJXX33VgKP3HwkJCdU+z99++628z+HDhx225efnC7Nnzxa6desmtGjRQhgwYIDw/vvvCwaDoZEeiX9jBNtcPyGEEEIIqRHVOBFCCCGEOIkCJ0IIIYQQJ1HgRAghhBDiJAqcCCGEEEKcRIETIYQQQoiTKHAihBBCCHESBU6EEEIIIU6iwIkQQgghxEkUOBFCCCGEOIkCJ0J81MKFCzFu3DiMGzcO48ePx9SpU/Huu+/i5MmTte6/efNmh+umT5+OFStWOGw3m8145JFH8PTTT3vlMQQiQRAwbdo0/P7777Xut2fPHjz88MNeG8esWbOwevXqOvd744038J///KfGyw1t9uzZ+OWXXxrt/gmpLwqcCPFRe/fuxcmTJzF+/Hg8+OCD6NmzJ86cOYN+/fph7NixdqvMS/t//fXXePHFF2E0Gu2u2759O44dO+ZwH1u3bsVXX32Fzz77DHv27PH6Y3LVa6+9Vm3A15j3sWbNGvz888/IyMiodb9r167h66+/9sAIq/fTTz/VGETb2rlzJ44ePVrj5YbWuXNnTJs2DWazudHGQEh9UOBEiA+Ljo7GuHHj8Je//AXPPPMMPvvsM/z+++/47bff8NRTTzns37FjR+Tm5mLp0qVO3f7KlStx9913o2fPnli5cqUXHkH9/Prrr9UGfI11H4IgYN68eXjhhRegVCq9Oi5vefvtt/HMM8802v1PmDABOp0O69ata7QxEFIf/vmXT0gT1rFjR7z66qt4+eWXcf78eaSnp8vXJSYm4p577sE777yDyZMnIywsrMbbyc7Oxg8//IAvvvgC2dnZeP311/Hhhx8iNDS0zjFcvHgRq1evxuXLl9GqVStMnjwZrVu3lq/fv38/vvzyS+Tm5qJly5aYNGkS2rVrJ18/a9YsdOnSBc2aNcMPP/yA4uJiDBgwAE899RQUCuv3uTfeeAMXLlxAfn4+xo0bBwB46aWXMHDgQADAhQsXsGrVKly5cgXx8fGYNGkSunbt6tH7qGrHjh24evUqJkyYUO11GzZsgNFoxKBBgxAUFFTtbdT13DzzzDMYPXo07r33Xnnbrl278J///Af//e9/HW5v69at+PXXX1FQUIARI0bgscceA8MwNf7b/fLLL0hOTkb37t2dfp4k27Ztw6ZNm2AymTBo0CC0bdsWS5cuxZdffinvk5OTgxUrVuD8+fOIiYnB6NGjMXToUPl6lmUxfvx4LF26FBMnTqxxnIT4Kso4EeKH7rrrLkCcnqtq9uzZMBqN+Ne//lXrbaxZswYhISEYM2YMJkyYAIPBgA0bNtR535s3b0bnzp1x5swZDBkyBOHh4RgzZgxu3boFAFi9ejUGDRoEi8WCO+64A5cuXUJGRobdVOBPP/2EmTNnYsGCBejYsSM6d+6MV155BTNnzpT3GT58OGJiYtC2bVuMHz8e48ePR6tWrQAxWOjSpQv++OMPDBs2DDzPo0+fPti9e7fH7qM627dvR+fOnREdHW23fdmyZRg1ahQiIiIwePBgbNq0CTNmzHA43pnn5vvvv8e5c+fsjrt69So2bdrkcHuff/453nzzTbRv3x7t2rXDc889h+nTp9fyr+c4VefM8wQAH330Ee677z5ERUVhyJAh+OabbzBu3Di76UidTofevXtj7969GDJkCFJSUvDOO+84ZDOHDBmCgwcPorCwsNaxEuKTBEKITxo1apTQt2/faq/Lzc0VAAjvvPOO3f7Dhw8XBEEQ5s2bJ2i1WiE/P18QBEFITU0VnnvuObvb6Nixo/DUU0/Jl0ePHi3cfvvttY6prKxMiIqKEp599lmH7eXl5UJpaakQHR0tzJ492+GxdO3aVb7crVs3oVOnToLZbJa3/etf/xK0Wq3dcX379nUYd0VFhRAbGyvcf//9dttnzJghdO/e3SP3UZNBgwYJjz76qN026TG//fbb8jae54WePXsKLMs67FfXc9OiRQth8eLFdvusXLlSCAoKstvWrVs3ITo6WtDpdPK2b775RlAoFMKpU6fkbQMHDhSeeeaZGi878zzpdDohMjJSWLBggd1j7NOnj91j3LVrlwBAKCkpsRtrbm6u3eXLly8LAIQdO3YIhPgbyjgR4oekwlq1Wl3t9S+99BKCgoKwcOHCaq8/ePAgzpw5g8cff1ze9vjjj+O3337DpUuXarzfAwcOoKioCFOmTLHbHhoaipCQEJw6dQqFhYUOU1kTJkzAyZMnUVxcLG8bMmSIXZ1Qeno6dDqdQ9F7dWPPz8/Hs88+63Afx44dw82bN+t9HzXJzc11yDZJj/mhhx6StzEMY3fZdj9nnhtnjRw5EuHh4fLlMWPGQKVSVZuJrE1dz5M0Pmk6U3qMDz74oN3ttG/fHmFhYXj22Wfx22+/Qa/XAwDi4uLs9ouJiQHE55MQf0OBEyF+6M8//wQApKamVnt9WFgYXnvtNXz00Ud2gYREmjr58MMP5ZYHa9asAcTpn5qUlJQAAGJjY6u9Pj8/HxCL2m1Jl/Py8uRtGo3Gbh+pnobn+RrvH4A8vbNkyRJ57OPGjcObb74JALhy5Uq976MmarUaJpPJbpv0mKOiouy2V73synPjrKr3wTAMIiMjXb6tup6ngoICAEBkZGS1Y5ckJCTg8OHDiI6OxrRp0xAdHY3Ro0fjwoULdvtJZ33WFPgT4suoOJwQP7Rq1SqEh4fbFd1W9eyzz+Jf//oX5s2bZ7ddr9dj/fr1ePbZZzFs2DC766Kjo7Fq1SrMnTvXoTAYgFwAfubMGSQnJztc36ZNG0As3E5KSpK3X7hwASzL1lo/VJ3qipxTUlIAMdvSokULu+smTZqEtm3b1vs+atKyZUtkZ2dXO56LFy/aBZQXL16028/Z5yY4OBgGg8HuWCnoqqrqfeh0OuTm5toV6nuCdHuXL1+2e4zVZSfbt2+PDz/8EBBPQBg/fjyeeuopuzou6Tms7jVEiK+jjBMhfsRkMmHhwoVYvXo1FixYgIiIiBr3DQoKwptvvokVK1bYZSA2bdoEnU6HV1991S5jM27cOMycOROZmZn4+eefq73NjIwM9O7dG2+88YachYB4Sn9ubi46dOiA3r17Y/78+fKHf15eHj788ENMmDDB5QxDfHy8w3RO9+7d0bdvX5w8eRL33XefPPbRo0ejoKAA8fHx9b6Pmtx22204fPiw3bbOnTujR48emD9/vjyFevXqVYfeUM4+Nx07dsTPP/8sZ3uKioqwfPnyasfz008/Yd++ffLlefPmISoqCqNGjXLpOahLp06d0K1bNyxcuBAWiwUAkJWVhc8++8xuv8OHD9uNp1mzZmjbti3Ky8sd9gsJCUHPnj09Ok5CGgIFToT4sAsXLmDcuHF48MEHMXz4cCQkJGD16tX48ssv8dxzz9V5/BNPPIHU1FS7mp6VK1eiX79+1X7b79q1K9LT02vs6cQwDL7++muwLIu0tDSMGDECGRkZWLBgAYKDg6FQKLBq1Spcu3YNbdu2xV133YUOHTogLi4OS5YscfnxP/7449iyZQtGjBiBcePGYd++fWAYBps3b8bVq1eRnJyMkSNHYvDgwUhNTcXVq1c9ch81GTduHG7duoUTJ07YPScrVqzAkSNH0K5dO9x5553o168f+vTpY3ess8/N3LlzcfbsWXTq1AkjR45E9+7da5yS7d+/PyZMmIBhw4aha9eu+OSTT7Bs2TKHKbz6UigUWLFiBf73v/+hXbt2uOuuu9CnTx90794dLMvK+0VERODVV19Feno6Ro8ejR49euDbb7/Fe++9Z3d727dvx3333QeVSuXRcRLSEBhBEITGHgQhxNG+ffvkU/xZloVWq0V6enqN0xv79u0Dz/MYNGiQ3fYzZ87gzJkzSEtLQ0ZGBjZt2oS0tDS7nke2Dh8+jJycHIwePbrW8Z06dQpXr15FmzZt0KlTJ7vrLBYLDh8+jNzcXLRq1cqhy/bPP/+MhIQEdOnSRd6Wk5ODPXv2OHygZmVl4fTp0ygtLUW/fv3sprkuXryIP//8E5GRkejatSu0Wq3H76OqUaNGoW3btnj//ffttuv1euzduxdmsxk9e/aE0WjE77//jgceeMCl5wbilNuRI0fAsiy6deuG4uJiHD16FPfff7/D42vdujVOnTqFoqIi9O3bVy68luzatQsRERFy36aql115nioqKrBv3z75MS5btgzLli3DtWvX7O7z4sWLOH/+PKKiotCzZ0+7TGNBQQFatGiBnTt3on///jU+z4T4KgqcCCHEBSdPnsSgQYNw/vx5JCQkNPZwGsyxY8cQGxsrB+43b95Ev379MGrUKKc71QPAyy+/jIsXL1bbl4oQf0DF4YQQ4oKuXbvim2++QUVFRWMPpUEFBQVhxIgRiI2NhVqtxuHDh3H77bdj/vz5Lt3OkCFDqm0OSoi/oIwTIYQQp5hMJpw4cQKFhYVIS0ursfaKkEBGgRMhhBBCiJPorDpCCCGEECdR4EQIIYQQ4iQKnAghhBBCnESBEyGEEEKIkyhwIoQQQghxEgVOhBBCCCFOosCJEEIIIcRJFDgRQgghhDiJAidCCCGEECdR4EQIIYQQ4qT/DyERQE8wnp8WAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "sub-2N below -0.4 and above-4N above 1.25\n" ] } ], "source": [ "grid = np.linspace(-0.8, 1.8, 261)\n", "probe = ad.AnnData(obs=pd.DataFrame({\"Metadata_DNAContent\": grid}, index=[str(i) for i in range(grid.size)]))\n", "mt.tl.project_cell_cycle(probe, model=dna_only, by=None)\n", "probabilities = probe.obsm[\"cell_cycle_probabilities\"]\n", "figure, axis = plt.subplots(figsize=(6, 2.8))\n", "for phase, color in zip(probabilities.columns, (\"tab:blue\", \"tab:grey\", \"tab:red\", \"black\", \"tab:purple\"), strict=True):\n", " axis.plot(grid, probabilities[phase], color=color, label=phase)\n", "axis.set(xlabel=\"DNA content (doublings)\", ylabel=\"probability\")\n", "axis.legend(fontsize=7)\n", "plt.show()\n", "below, above = probabilities[\"sub-2N\"] > 0.5, probabilities[\"above-4N\"] > 0.5\n", "print(\"sub-2N below\", round(grid[below].max(), 2), \"and above-4N above\", round(grid[above].min(), 2))" ] }, { "cell_type": "markdown", "id": "2cb2d257", "metadata": {}, "source": [ "G1 gives way to S, and S to G2M, where the template leaves each peak. The change is as sharp as the 2N peak is\n", "narrow. Below -0.4 doublings the flat background becomes the most probable component and a cell is called sub-2N, and above 1.25 it is called\n", "above-4N.\n", "\n", "## The check before the fit\n", "\n", "A model of the cycle only makes sense for a reference that cycles. Before fitting, the DNA content of the reference\n", "must show a 2N peak, a separate 4N peak, a valley between them that S cells fill, and a share of cells in S. Three\n", "populations that do not cycle fail it. They are a narrow line of DNA content just above 2N, a single 2N blob, and two clusters\n", "at 2N and 4N with nothing between them." ] }, { "cell_type": "code", "execution_count": 7, "id": "7a8e0a1c", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:12.698146Z", "iopub.status.busy": "2026-11-10T18:41:12.697979Z", "iopub.status.idle": "2026-11-10T18:41:14.174583Z", "shell.execute_reply": "2026-11-10T18:41:14.173446Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "fit_cell_cycle: the reference does not show separate 2N and 4N peaks with S cells between them {'is_peak': False, 'peak_ratio': 0.0, 'valley_ratio': 1.376786134312392e+21, 's_floor': 0.0, 's_share': 0.014}; project_cell_cycle will give NaN\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "fit_cell_cycle: the reference does not show separate 2N and 4N peaks with S cells between them {'is_peak': False, 'peak_ratio': 0.0, 'valley_ratio': inf, 's_floor': nan, 's_share': 0.0}; project_cell_cycle will give NaN\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "fit_cell_cycle: the reference does not show separate 2N and 4N peaks with S cells between them {'is_peak': True, 'peak_ratio': 0.727, 'valley_ratio': 0.0, 's_floor': 0.0, 's_share': 0.014}; project_cell_cycle will give NaN\n" ] }, { "data": { "image/png": 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a 4N peak4N peak at least a twentieth of the 2N peakvalley at most nine tenths of the 4N peakS density at least a tenth of the 4N peakat least 3% of cells in Spasses
cyclingTrueTrueTrueTrueTrueTrue
lineFalseFalseFalseFalseFalseFalse
blobFalseFalseFalseFalseFalseFalse
two clustersTrueTrueTrueFalseFalseFalse
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" ], "text/plain": [ " a 4N peak 4N peak at least a twentieth of the 2N peak \\\n", "cycling True True \n", "line False False \n", "blob False False \n", "two clusters True True \n", "\n", " valley at most nine tenths of the 4N peak \\\n", "cycling True \n", "line False \n", "blob False \n", "two clusters True \n", "\n", " S density at least a tenth of the 4N peak \\\n", "cycling True \n", "line False \n", "blob False \n", "two clusters False \n", "\n", " at least 3% of cells in S passes \n", "cycling True True \n", "line False False \n", "blob False False \n", "two clusters False False " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rng = np.random.default_rng(1)\n", "populations = {\n", " \"cycling\": cells.obs[\"Metadata_DNAContent\"].to_numpy(),\n", " \"line\": rng.uniform(0, 0.3, 4000) + rng.normal(0, 0.03, 4000),\n", " \"blob\": rng.normal(0, 0.05, 4000),\n", " \"two clusters\": (rng.random(4000) < 0.4) * 0.9 + rng.normal(0, 0.05, 4000),\n", "}\n", "figure, axes = plt.subplots(1, 4, figsize=(11, 2.4), sharex=True)\n", "report = {}\n", "for axis, (name, content) in zip(axes, populations.items(), strict=True):\n", " population = ad.AnnData(\n", " obs=pd.DataFrame({\"Metadata_DNAContent\": content}, index=[str(i) for i in range(content.size)])\n", " )\n", " mt.tl.fit_cell_cycle(population, reference=None)\n", " fitted = population.uns[\"mantispy\"][\"cell_cycle\"]\n", " report[name] = {**fitted[\"check\"], \"passed\": fitted[\"passed\"]}\n", " axis.hist(content, bins=80, color=\"tab:green\" if fitted[\"passed\"] else \"tab:red\")\n", " axis.set(title=f\"{name}: {'passes' if fitted['passed'] else 'fails'}\", xlabel=\"DNA content\")\n", "plt.tight_layout()\n", "plt.show()\n", "pd.DataFrame(\n", " {\n", " \"a 4N peak\": [r[\"is_peak\"] for r in report.values()],\n", " \"4N peak at least a twentieth of the 2N peak\": [r[\"peak_ratio\"] >= 0.05 for r in report.values()],\n", " \"valley at most nine tenths of the 4N peak\": [r[\"valley_ratio\"] <= 0.9 for r in report.values()],\n", " \"S density at least a tenth of the 4N peak\": [r[\"s_floor\"] >= 0.1 for r in report.values()],\n", " \"at least 3% of cells in S\": [r[\"s_share\"] >= 0.03 for r in report.values()],\n", " \"passes\": [r[\"passed\"] for r in report.values()],\n", " },\n", " index=list(report),\n", ")" ] }, { "cell_type": "markdown", "id": "f3350385", "metadata": {}, "source": [ "The cycling population passes every criterion. The line and the blob fail every criterion, since neither has a\n", "4N peak, and fewer than 3% of their cells sit in S. The two clusters have both peaks and a deep valley between them, but nothing fills S, so they\n", "fail on the density across S and on the share of cells in S.\n", "\n", "## Off the cycle, and nuclei that are not single cells\n", "\n", "The model holds a flat background for cells that fit no part of the cycle, and its weight is fitted with the rest.\n", "The background below the middle of the cycle holds sub-2N cells, and above it cells beyond 4N. DNA content alone\n", "cannot see two other problems. Two touching G1 nuclei segmented as one hold 4N and look like a G2M cell, and a\n", "fragment of a dying cell holds less than 2N. With ``qc_features``, the fit learns from the controls how\n", "small and how irregular a nucleus may be, and flags nuclei beyond that. Below, the simulation gains 150 merged pairs\n", "of G1 nuclei and 150 fragments." ] }, { "cell_type": "code", "execution_count": 8, "id": "9feba0ae", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:14.177774Z", "iopub.status.busy": "2026-11-10T18:41:14.177582Z", "iopub.status.idle": "2026-11-10T18:41:15.393811Z", "shell.execute_reply": "2026-11-10T18:41:15.392505Z" } }, "outputs": [ { "data": { "image/png": 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", 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cell_cycle_phaseG1SG2Msub-2Nabove-4N
cell_cycle_qcokokokirregularsmallirregular
true_phase
merged pair00014901
fragment00001500
\n", "
" ], "text/plain": [ "cell_cycle_phase G1 S G2M sub-2N above-4N\n", "cell_cycle_qc ok ok ok irregular small irregular\n", "true_phase \n", "merged pair 0 0 0 149 0 1\n", "fragment 0 0 0 0 150 0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rng = np.random.default_rng(2)\n", "base = simulate(seed=3)\n", "g1 = np.flatnonzero(base.obs[\"true_phase\"] == \"G1\")[:300]\n", "merged, fragments = base[g1[:150]].copy(), base[g1[150:]].copy()\n", "merged.X[:, 0] *= 2\n", "merged.X[:, 2] *= 1.8\n", "merged.X[:, 3] = rng.normal(0.88, 0.02, 150)\n", "fragments.X[:, 0] *= 0.35\n", "fragments.X[:, 2] *= 0.15\n", "merged.obs[\"true_phase\"], fragments.obs[\"true_phase\"] = \"merged pair\", \"fragment\"\n", "merged.obs_names = [f\"m{i}\" for i in range(150)]\n", "fragments.obs_names = [f\"f{i}\" for i in range(150)]\n", "mixed = ad.concat([base, merged, fragments], merge=\"same\")\n", "mt.tl.dna_content(mixed, dna_feature=\"Nuclei_Intensity_IntegratedIntensity_DNA\", reference=\"negcon\")\n", "mt.tl.fit_cell_cycle(mixed, reference=\"negcon\", qc_features=(\"Nuclei_AreaShape_Area\", \"Nuclei_AreaShape_Solidity\"))\n", "mt.tl.project_cell_cycle(mixed)\n", "\n", "cutoffs = mixed.uns[\"mantispy\"][\"cell_cycle\"][\"qc\"][\"cutoffs\"]\n", "figure, axis = plt.subplots(figsize=(5, 3.2))\n", "for flag, color in zip(\n", " (\"ok\", \"irregular\", \"small\", \"dim\"), (\"0.75\", \"tab:orange\", \"tab:purple\", \"tab:green\"), strict=True\n", "):\n", " rows = (mixed.obs[\"cell_cycle_qc\"] == flag).to_numpy()\n", " axis.scatter(np.log2(mixed.X[rows, 2]), mixed.X[rows, 3], s=3, color=color, label=flag, rasterized=True)\n", "axis.axvline(cutoffs[0], color=\"tab:purple\", lw=0.8)\n", "axis.axhline(cutoffs[1], color=\"tab:orange\", lw=0.8)\n", "axis.set(xlabel=\"log2 nuclear area\", ylabel=\"solidity\")\n", "axis.legend(fontsize=7, markerscale=3)\n", "plt.show()\n", "pd.crosstab(mixed.obs[\"true_phase\"], [mixed.obs[\"cell_cycle_phase\"], mixed.obs[\"cell_cycle_qc\"]]).loc[\n", " [\"merged pair\", \"fragment\"]\n", "]" ] }, { "cell_type": "markdown", "id": "87d85d20", "metadata": {}, "source": [ "DNA content alone calls 149 of the 150 merged pairs G2M, since they hold 4N, and the shape check flags all 150\n", "as irregular. The 150 fragments sit below 2N, so the model already calls them sub-2N, and the shape check adds the\n", "reason, that they are small. The solidity check also flags mitotic cells, whose condensed chromosomes give an irregular\n", "mask, as [the tutorial](cell_cycle.ipynb#shape-checks) shows on real cells.\n", "\n", "" ] }, { "cell_type": "markdown", "id": "c44e5867", "metadata": {}, "source": [ "## An order within a phase, step by step\n", "\n", "DNA content is flat through G1 and G2M, so the model cannot order cells within them. {func}`~mantispy.tl.phase_order`\n", "tries to order the cells of one phase from the other features, without labels. It runs in the steps below, shown for\n", "G2M on a simulation where tubulin rises with progress from S onwards and four features are noise.\n", "\n", "### a. An S axis, fitted on the controls\n", "\n", "S cells carry their own progress label, their DNA content. On the reference cells on the cycle, the features are\n", "scaled robustly and reduced to up to 30 principal components, and a ridge regression of DNA content on those\n", "components is fitted on the S cells only. The fitted direction is the S axis. Each feature also gets a weight, the\n", "size of its rank correlation with DNA content in S. By default the features exclude those measured on the DNA stain\n", "and the nuclear shape of the DNA mask, so the order cannot read DNA content back." ] }, { "cell_type": "code", "execution_count": 9, "id": "2c310b97", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:15.396913Z", "iopub.status.busy": "2026-11-10T18:41:15.396689Z", "iopub.status.idle": "2026-11-10T18:41:30.800264Z", "shell.execute_reply": "2026-11-10T18:41:30.799208Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":7: UserWarning: phase_order is experimental: validate the order against a marker of the phase or a paired modality before reading it biologically\n", " mt.tl.phase_order(sim, phase=\"G2M\")\n" ] }, { "data": { "text/plain": [ "Cells_Intensity_MeanIntensity_Tubulin 0.966\n", "Cells_Texture_Noise_0 0.033\n", "Cells_Texture_Noise_1 0.013\n", "Cells_Texture_Noise_2 0.010\n", "Cells_Texture_Noise_3 0.004\n", "Name: weight, dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import warnings\n", "\n", "sim = simulate(seed=4)\n", "mt.tl.dna_content(sim, dna_feature=\"Nuclei_Intensity_IntegratedIntensity_DNA\", reference=\"negcon\")\n", "mt.tl.fit_cell_cycle(sim, reference=\"negcon\")\n", "mt.tl.project_cell_cycle(sim, by=None)\n", "mt.tl.phase_order(sim, phase=\"G2M\")\n", "warnings.filterwarnings(\"ignore\", message=\"phase_order is experimental\") # read once; the later calls repeat it\n", "entry = sim.uns[\"mantispy\"][\"cell_cycle_G2M_order\"]\n", "pd.Series(entry[\"weights\"], index=entry[\"features\"]).rename(\"weight\").round(3)" ] }, { "cell_type": "markdown", "id": "6f7c17b9", "metadata": {}, "source": [ "Tubulin gets almost all the weight, at 0.97, and the noise features almost none. The nuclear area and solidity are\n", "left out by default, since they come from the DNA mask.\n", "\n", "### b. The S axis, carried into the phase\n", "\n", "The axis is then carried into the phase, where it was never fitted. The left panel shows it in S, the right in\n", "G2M." ] }, { "cell_type": "code", "execution_count": 10, "id": "62286265", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:30.803962Z", "iopub.status.busy": "2026-11-10T18:41:30.803068Z", "iopub.status.idle": "2026-11-10T18:41:30.998417Z", "shell.execute_reply": "2026-11-10T18:41:30.997198Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "S axis vs DNA content in S: 0.95\n", "S axis vs true age in G2M: 0.98\n" ] } ], "source": [ "def s_axis(adata, entry):\n", " \"\"\"Each cell's S-axis score and its place in the weighted space, from what phase_order stores.\"\"\"\n", " scaled = np.clip(np.nan_to_num((adata[:, entry[\"features\"]].X - entry[\"median\"]) / entry[\"scale\"]), -8, 8)\n", " centred, components = scaled - entry[\"mean\"], np.asarray(entry[\"components\"])\n", " return centred @ components.T @ entry[\"coef\"], (centred * entry[\"weights\"]) @ components.T\n", "\n", "\n", "score, weighted = s_axis(sim, entry)\n", "phase = sim.obs[\"cell_cycle_phase\"].astype(str).to_numpy()\n", "in_s, in_g2m = phase == \"S\", phase == \"G2M\"\n", "age = sim.obs[\"age\"].to_numpy()\n", "figure, (left, right) = plt.subplots(1, 2, figsize=(8, 3))\n", "left.scatter(sim.obs[\"Metadata_DNAContent\"][in_s], score[in_s], s=2, color=\"tab:grey\", rasterized=True)\n", "left.set(xlabel=\"DNA content of S cells\", ylabel=\"S-axis score\", title=\"a: fitted in S\")\n", "right.scatter(age[in_g2m], score[in_g2m], s=2, color=\"tab:red\", rasterized=True)\n", "right.set(xlabel=\"true age of G2M cells\", ylabel=\"S-axis score\", title=\"b: extended into G2M\")\n", "plt.tight_layout()\n", "plt.show()\n", "spearman = lambda a, b: pd.Series(np.asarray(a)).corr(pd.Series(np.asarray(b)), method=\"spearman\")\n", "print(\"S axis vs DNA content in S:\", round(spearman(score[in_s], sim.obs[\"Metadata_DNAContent\"][in_s]), 2))\n", "print(\"S axis vs true age in G2M:\", round(spearman(score[in_g2m], age[in_g2m]), 2))" ] }, { "cell_type": "markdown", "id": "05f7d5d6", "metadata": {}, "source": [ "In S the axis tracks DNA content with a rank correlation of 0.95. In G2M it still rises with the true age, at 0.98,\n", "because tubulin keeps rising after S. This step assumes that what changes through S keeps changing in the same\n", "direction through the phase.\n", "\n", "### c. A nearest-neighbor graph, and smoothing along it\n", "\n", "The reference cells of the phase are placed in the weighted space, where each scaled feature is multiplied by its\n", "weight before the principal axes are applied, so the features that track DNA in S count most. Each cell is linked to\n", "its nearest neighbors there. Each cell starts at its rank on the S axis, and smoothing moves its value toward its\n", "neighbors'. The package solves (I + 10 L) x = start, where L is the Laplacian of the graph, and ranks x from 0 to 1.\n", "The sketch shows 40 cells with 5 neighbors each, before and after. The package uses every reference cell of the phase\n", "and 30 neighbors." ] }, { "cell_type": "code", "execution_count": 11, "id": "b5da3b83", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:31.001029Z", "iopub.status.busy": "2026-11-10T18:41:31.000851Z", "iopub.status.idle": "2026-11-10T18:41:31.417366Z", "shell.execute_reply": "2026-11-10T18:41:31.416182Z" } }, "outputs": [ { "data": { "image/png": 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ZAqvVim+++cal04SQFs/XReGk8VUdRqrqIpVK2cGDBxljjNlsNhYaGuqyvXIM648++qjG/e+7775qQz7VNrZyXa/BPBzCr+pQdjUtQ4cOrfPpf0/P7aeffmIA2GOPPeZcZzabWe/evZmfnx+7cuWKc31NDz7W5/dQG3fva2P9fqZNm8ZUKpXbtnv27GF+fn4sMTGRZWZm1vn+EtIQd955Z7V/1zzPOx9227Fjh7NtbQ8+Vj6oXHWpHOd569attf5dAmBbt251HqdyTOf6evnll2s97uzZs+s87htvvMEAsDNnzrisT09PZwDYSy+95LJ+0aJF1YY5rFyuHxHIk7bu3r/aYq/p+udunOz67F/bsIPTpk1jANi6detq+C0Q0rJQuUgbdODAATzxxBPo1asX/Pz80LFjR0yfPh179uxBv379AABisRgrV67ETTfdBD8/P5ea3scffxwffPABunfvDj8/P/To0QOffPIJXnnlFZf6SFT0qspkMmfvalXuXgMVtXn17SH59ttv8c0332DixIlISEiARqNBaGgohg4dig8//BB//vlnjTFcr77nlpGRgccffxz9+vXDe++95xLzsmXLwPM87r//fmd9YGVvT9X3pj6/h9q4e18b6/cjlUpd7iLU1HbgwIHYtGkTioqKMGbMGGRnZ9f5HhPirYULF+KJJ55Ahw4dEBAQgBtvvBEbNmzALbfcAplM5ixBQy1/cwDwzDPP4OGHH0Z0dDQUCoXLfsOGDcPhw4fxwAMPoGPHjtBoNOjSpQtuv/12rF+/3qUXu/L6VF8vvPACvvrqK4wYMQLh4eEIDQ3FwIED8d///hdffvllnccVi8XVzhEV9coymcx5B7DSrFmzsGHDBowcORKBgYEICAjAsGHDsGrVKvz973/3uq2796+22Gv6XdTU1pP9H3vsMSxevBi9evWCVqtFr1698MMPP2DQoEEAAH9//2rHIaSl4RjNk0wIIYSQVuDmm2/Gtm3bUFBQ0OwP3BPiKerJJoQQQkiL8ueff+KZZ57B4cOHUVRUhBMnTmD27NnYunUrhg8fTgk2aRWoJ5sQQgghLcq6deswYcKEauuVSiW2b99eZ8kdIS0B9WQTQgghpEUZM2YMPvroIwwcOBBBQUEICwvDlClTsHPnTkqw2yibzYbi4mKvxkJnjDXKOPqNjXqyCSGEEEKIT+zfvx/ffPMNli9fjuLiYhw4cAD9+/ev174GgwFPPPEEli9fDrvdjoSEBPz3v//1eijOxkY92YQQQgghxCfefPNN9O7dGwsXLvR43wceeAC7du3C6dOnYTQaMXnyZIwdOxaXL19uklg9RT3ZhBBCCCHEpzZt2oTRo0fXuyf70qVL6Ny5M3766SfceeedAABBEBAXF4epU6fi448/boao3aOebEIIIYQQ0qps2bIFqJghtBLP8xg+fLhzm6/RtOpVmM1mnDhxAiEhIdUmOCCEtG52ux15eXno2bOnyyQ8rQ1dpwhpu1rSdaq4uBgGg8Hj/QRBqDapklarhVarbcTogNTUVCiVSgQGBrqsj4mJwW+//daor+UtukJXceLECaSkpPg6DEJIE9q/fz+Sk5N9HYbX6DpFSNvn6+tUcXExOnUMQmGR4PG+CoUCJpPJZd1rr72GefPmNWKEgMlkqvGLiFwur/b6vkJJdhUhISFAxT/uiIgIX4dDCGlE2dnZSElJcf6dt1Z0nSKk7Wop1ymDwYDCIgG7N0QhIrT+qWK2zo7BYzOrXZ8auxcbAFQqFcrKyqqtNxqNUKvVjf563qAku4rKW68RERGIjo72dTiEkCbQ2kss6DpFSNvXUq5ToSE8IiLq//ieg5W3bY7rU+fOnWE2m5GTk4Pw8HDn+tTUVHTq1KlJX7u+6MFHQgghhBBSjQDm8dJUSkpKXMpARo4cCZFIhA0bNjjXWSwWbN68GWPGjGmyODxBSTYhhBBCCKmGQfDofwye13AbjUYUFxfDaDQCFaUqxcXF1eqq4+Li8Pjjjzt/joqKwiOPPIKXXnoJO3bsQHp6Oh566CEAwJNPPtngc28MLeN+BCGEEEIIaXcefPBBrFu3DgDg5+eHKVOmAADuvfdel7Gu/fz8oFQqXfb94IMPEBwcjDlz5qC0tBTJycnYtm0bwsLCmvksataikuydO3fi559/RllZGQYNGoSZM2dCJBLVuR9jDL/99ht27tyJsrIydO3aFffffz80Gk2zxE0IIYQQ0tY4GIPDgzkLPWlb6fvvv69Xu7S0tGrrxGIxXnvtNbz22msev25zaDHlIp9//jlGjRoFtVqNnj174o033sCkSZMgCHXferj77rvxwAMPICAgAD179sSSJUvQrVs35ObmNkvslQTBAIcjB4xZm/V1CSGkPhhjcDjyIDgKQJP9EkLq0pJqslujFtGTXVBQgOeeew5vvPEGnnvuOQDAqFGj0K1bN6xYsQLTpk2rdd/jx4/jp59+wrJly5zt7rnnHkRHR+Ozzz7D/Pnzmzx+q+UgDPqPYbX8BYCB45RQKKdBpXkKIlHrHi6MENL6MWZHmfEbGA0LITgyAAAicSJU6gehUN4NjuN8HSIhpAUSADg8SJw9r8hu21pET/b69ethNBoxc+ZM57obbrgBycnJ+Omnn9zum5WVBQDo2rWrc52/vz8iIiKc25qS2fQ7CvOnwmrZDFT8Q2SsDGXGRSjIGweHI7vJYyCEkNow5kBx4UPQl8yD4Mh0rnfYL6C0+BnoS16mXm1CSI2oJ7thWkSSfeLECQQEBLiMcwgA3bp1w8mTJ93um5KSAq1Wi1WrVjnXHTt2DFeuXMEtt9zSJPEyZoHDvBk2448wFD1W8d2t+vc3wZGF0uJXmyQGQghxR7Cnw25aA1PJS7CaK4e4qvoBWH7NKjMugtWy3ScxEkJatsqabE8Wck2LKBcpKiqCn59ftfV+fn4oLCx0u29gYCA2btyI2bNn488//0RAQAD279+PTz/9FHfeeafbfUtLS1FaWur8OTvbfa8zYwx241ewG/4LsPL9VBzggBgmZq/hlgqDxbwBDkcORKLwGo9JCCHueHydcuTBWvIChIq7axwADSeFDQJMzF7DHjzKjIshkw9rgugJIa1ZzV2I7tuTa1pEks3zfI0POAqCUOesR1arFR988AHMZjMmTpwIjUYDi8WCjz/+GCNGjEBCQkKt+y5YsMCjmm274QPYDZ9Ujx8cVJwERmarIdEWYLedoySbEOIVT65TTCiFpeAuMEeaS681x3GQMB58xXXKlQCb7XgjR00IaQsEMA9rsqknu6oWkWRHREQgLy8PjDGXB3B0Ol21EpLrffPNN1i+fDlSU1MRGxsLAHjooYeQnJyMJ554Ar///nut+z799NN44IEHnD9nZ2cjJSWlxrbMkVPeg10DjuPAGIOcE9fwAQZwnMztORBCSG08uU7ZjYvBHKk1buM4DmKUJ9u26/qbONA1ihBSnQOAw4O82dGUwbRCLSLJTk5OhslkwqlTp9CjRw/n+oMHD2LEiBFu97106RK0Wq0zwUZFz3jPnj2xe/dut/tqtVpotdp6xWg3/eb2RkjlBxjPOJdvchznB4m0d71egxBCrufJdcphWg6Au672+hrGGKScCDbmei2TKZrm+RVCSOtG5SIN0yIefBw9ejTi4+Pxn//8x7nu559/xqVLl1x6cABgxowZ+PHHH50/Jycno6SkBH/88YdzXV5eHjZu3Ijk5ORGi5E5sio+vNzjr2ujUj8AjpM3WhyEEFIb5sitNcFGRWeA6zWKAyCDUjWrWeIjhLQuAjg4PFiEeuRJ7UmL6MmWSqVYvnw5Jk2ahJSUFISGhmLz5s147733qt0W/f777xEeHo7p06cDAO666y5s27YNkyZNwk033QS1Wo0dO3agc+fOeP/99xstRo4PdPvhVYmBgYEDBwZwE6DSPNVoMRBCiFu8PyDk17qZsfIrVGVvN2MSaPy+gFgc16xhEkJIe9AikmxUDMV36dIlbN++HSaTCV988QWio6OrtVu6dCm6devmsu6///0vXnjhBZw8eRJmsxmvv/46kpKSGjU+kWIi7IaPat3OADDIwUt6QiGOQ0HhUDiEXvC32CCX1z01PCGENJRYMQV248Jat3McBwcfBSkfAYfQF8WlN8NsC4dKzWhCGkJINQIrXzxpT65pMUk2AKhUKowdO9ZtmxkzZtS4Pjo6usakvLHw4k4QKW6Hw/RztW2MARwHiDT/hyD1ZACAxZaLkpISZGZmokOHDuD5FlGZQwhpw8Sq2bCXrawYYtS1OpIxDgJCoA1ZD44vHzK1uPQCbDYbCgsLERQU5KOoCSEtVWUZiCftyTWU+XlA4vdviBR3V6/N5hQoND2NtKyuzqEIw8LCgIphCPPy8nwRLiGkneFEEZAFLQMnql7+YRM6Itf4LnJyy5zrQkNDAQCFhYUwm83NGishpOXzpB7b04S8PWhRPdktHcdJIfV/G4LmMQim38FYKThRDETysdBdzQNgxaVLl9CpUyfwPI+goCAUFBTAYDBApVJBrVb7+hQIIW0cL0mELGQTBOsuCNYj5etkg8CzXnCkpUGv10MsFiMkJAR+fn7Q6XRgjCE7OxtxcXF0140Q4sQYILD6J8404aMrSrK9wIuiwKvnuKyLiZHj8uXLYIwhNTUV8fHxziRbEATk5uZCLpfXObkOIYQ0FMfxEMmGQCQb4lwnqui51ul0KCoqgkgkQmBgICIjI5GZmQme55GXl+e8C0cIIVQu0jDUZdFIRCIRoqKiAAB2ux1paWkQBAGhoaFgjEEmkyE3NxeMvuYRQnzE398fSqUSAJCfn4/i4mKoVCqIRCJYLBaYTCYYDAZfh0kIaSEc4D1eyDX0bjQipVIJf39/AIDNZkN6ejr8/f3BcRzKysogCAJKS0t9HSYhpB2LjIwEz/PgOA46nQ6lpaWIjIwEKjoLdDod7Ha7r8MkhLQAjHEQPFiYB6Ul7QEl2Y0sJCQEUqnU2TOUkZGBiIgIAIBYLEZBQQGsVquvwySEtFM8zyMmJgaMMYhEIuTk5EAQBIjFYphMJmi1WrrrRggB6MHHBqMku5FxHIfo6GgIggCpVIqysjKUlpaC53no9Xr4B0iRlbMLVlsafYgRQnxCJpMhODgYDocDPM8jMzPTOYSfwWCAQ8hGfuEBOIRiX4dKCPEhB+M9Xsg19BReExCLxc6HiRQKBQwGA+SKMpjsHyPP8BfA2XAlB5BKuiJY+xQ0yom+DpkQ0s4EBgbCaDTCarWC53nk5uaCl+yHhfsawDmYyoDCMjE0yokI8fsXJOIYX4dMCGlmAjgIHvTH0rTqrugrRxNRqVTw8/OD2WyGTK6HSbgPEP0BwOZsY7WdRVbBQyjUf+XTWAkh7VNUVBQYY5DL5YB4Axzi5wHufJUWdujLfkNa7jhY7Wk+jJQQ4guCh6UilGS7oiS7CYWGhkIsFsPK/gtw+QB3fXlI+c95xfNhs2f6JEZCSPvF8zyioqJgLMsGkywovyTVcJ1yCEXQFb3qoygJIaR1oiS7CXEch4hIDQRuUw0fXFUJKDEua8bICCGknEKhgEq7q/wuW62dUAKM5k2w2bOaNzhCiE9RTXbD0LvR1LgsgKtrOCweVtv5OtoQQkjTEEszgTo/HBms9kvNFBEhpCUQKkpAPFnINfTgYxPjOEXdjRgDIG+OcAghpBqeU9Zxt61KO0JIuyF4OMGMJw9Jtgf0bjQxqbgzJOIOcHMfFuAYbOYBNKQfIcQn1Ipbnc+I1IwDWCDs1k7NGBUhxNeoXKRh6N1oYhzHIUj7ZO0fYIyDRNwFPLsRJSUlzR0eIYRAIRsIubSvm84AhkDN35GXV0izQRLSjlQO4Vf/hcpFqqIkuxn4qe5CsPb5ax9gjL/21rNYyNiHiIiIQmFhIc0GSQhpdhzHISr4W8gkPctXMN61Rts2DWr5LAQGBiInJ4fuuhHSTgiMg8ODRaBp1V1QTXYzCfJ7ChrlZJQYf0Cp/iTsDgmk/AhYLSkwWsQwKA0IDQ1FdnY2YmNjwXH0D5UQ0nzEomDEha2D0bwZJcZVMBh0kIhiYTPfAo7FIyMjA/Hx8TAYDCgpKYG/v7+vQyaENDGHhzXZnrRtDyjJbkZSSQeE+L+EIK2AK1euAIwHVzE5jU6nQ1RUFGQyGQoKChAcHOzrcAkh7QzHiaBWjIZaMRoGuQHZ2dlQyGQwm81gjCEjIwNRUVHIyMiAUqmEVCr1dciEkCYkMB6CB3XWnrRtD+jd8IHKCSDsdjvE4vLvOQxWpGfvg1xdjFJ9MUwmk6/DJIS0Y2q1GlqtFhaLxbnOYstDRu4+BATxyM7OprIRQtq4yp5sTxZyDfVk+4hcLkdwcDDy8jNhFH0Ps2g9GKdHYQEgEYfDmDMVXWOeglgs8XWohJB2KjQ0FGVlZTA7zsHAfwsbfwAQGHKKAQU3ACLdI4gOG+rrMAkhTUQA4PCgzlpo0mhaH/rK4UNaPwX00ldgEi8Hg9653ubIhZ7/HKezn6aeIkKIz3AcB//QPBSJnypPsKuMpW1iB3DV9AB0JVt9GiMhpOl4NrIIT+NkX4feDR/KNXwPC46V/1D1i2LFB5lBWIfswj98ExwhpN1jjOFK8Yvls9ZWm6xGADgHLhf9C3Y7jYpECCHXoyTbh3L037ufpAYcsvXf0bi0hBCfKLUcgNl+2c1NYAaB0+Fq7rpmjowQ0hxoMpqGoXfDRxhzwGxPrWOWNQYHl0bj0hJCfMJku1CvdmX2i9Dr9fVoSQhpTcono/FsIddQku0zPDjUPfwVEyRwOBwoLi5ulqgIIaQSzynq11CQQKfTwWazNXVIhJBmJHjYi01D+Lmid8NHOI5DoHJ0nb8CjWQErFYrCgoKXIbSIoSQpuavGAoOojpacZA4UsDzPN11I6SNcYDzcAg/6smuipJsH4rUPlBRk13DP0rGgWNK+Etug1wuB2MMWVlZEAQaIIcQ0jykomCEqu9220bmGIGYyN6w2+2wWq10142QNkSomCrdk4VcQ0m2D2lkSUgI/ggcKsfC5p2/Eg4qaG1vwlAihsPhgEgkgt1uR35+vk9jJoS0Lx0CX0agYmzFT1zFNar8g1TiSIba/jgyMjLg7+8Ph8OB/Px8uutGSBsheDgRDQ3h54omo/GxYNU4aOXJ0BlWwmA5CnAi+MkGozS3JzhWXg9ptVrBcRw4jkNJSQkUKhGKHFtQaD4AAPCX90aUeiIkvNrHZ0MIaWt4TobEkE+htxxGnvEXWB25kIiCoRWNQ5EuDBzKr01FRUWQy+Uwm83IzMxEcBRDlnEVTPZMiHktIlVjEShPBsdRTxchrQVNq94wlGS3AFJRCKL9HnFZFyizIC0tDQCg1WpRWloKxhhM3Bnsyn0bAmdw9npnGdfhfOFH6Bv2AYIVg3xyDoSQtovjOGjl/aCV93NZby/LgsFgAGMMUqkUZrMZ4IAcYSHOZq2uaMUDYEjXr0CgPBn9wj6GhNf45DwIIZ4pr8mu/xdjqsl2RV85WiiZTIbAwEAAQGlpKaKjo2GDDlmiNyDAWNFKcI5fa2dlOJj7GAzWKz6MmhDSnkRERDh7pmUyGTQaDYq4X1EsWl2lleAcqrTQfABHdM/6KFpCiKcqe7I9Wcg19G60YMHBwRCLy2826IqykCr/GWlWJa5aA1DmuH74PwECsyK19DufxEoIaX84jkNcXBwAQK/Xg9fkIwO/osimRKldBkcNz2nnm3ahxHKm+YMlhHhMqNKbXZ+lIUMz5OXl4dKlS15NwFdQUIDU1NQWN3kfJdktXHx8PC44dmBJ4fPYXpSOi5YIXLREYK+xM/YZOsFgr5psM2QbaRp2QkjzkUqlUPtLcIb9BysynsB5SyBSbaG4ZI3ASXMsMq0BEK4b1S+37C9fhUsI8UBz9GTn5eXhlltuQadOnTBixAhERkZi5cqV9dp3z5496NmzJzp27Ihhw4bBz88PL730UosZSrRF1WT/8ccfWLlyJcrKyjBo0CA8+OCDkErdT9iyefNmfPzxxzVuGzJkCJ555pkmirZ5HC/ZhP321TAKsuu2cDAKMhwo64T+qsvQiMqf5ncwk0/iJIS0TwKz44jpdVxyZMDEVC6z2ArgoLP7wSRI0UmWi8pnHu1Cme8CJoS0KH/7299QVFSEjIwMaLVafPbZZ5g+fToSEhLQq1evWvczmUyYMmUKbrrpJhw8eBAymQx//PEHxo0bh/j4eMydO7dZz6MmXvdkl5SU1PpNoaSkBDk5OR4db8GCBbjtttvQuXNnjB49Gp999hnGjBkDh8Phdr/OnTtj1qxZLkv//v2xatWqVv8Uu4PZsSVnMcqcCfb158OBgcNZUxQAgDEejAvF7pw3sDvnDVwsWQO7YG72uAkh7UeGcRfSTZdhYjVdp8r/Wy8oUOgoH/3IxkRIN+Xiz6x/Y3vup8gxnW4xvU6EEFeezPZYuXji5MmT2LhxI+bNmwetVgsAePTRRxEfH49PPvmkzn11Oh3+/ve/QyYrv/6MGTMGvXr1wl9/tYy7ZR73ZJ84cQIzZ87EsWPHoNFoMH36dLz77rvONwcAVqxYgb1792LhwoX1OqZOp8NLL72E//u//8OTTz4JVPRCJyQk4Mcff8SMGTNq3Tc2NhaxsbEu6zZv3gyJRIKZM2d6enotylXjSRTZDWCQu2nFQS8oUGxXQAAP5ihCvnUDAOCSfh0O53+K4ZHvIFTRu9niJoS0H1f0f8AgyCt6sGvr2GDIs5WPKFLiUALWI+DAg4HheNEviFMNwJioVyHl6zmNOyGkWTBwEDwYMYR5OLrIjh07gIqcr6qbbrrJua02QUFBQEU9diVBEFBYWIiQkBCP4mgqHn3lcDgcuPvuu6FSqfDBBx9g1qxZWLJkCQYMGIDMzEyvg1i/fj3MZjOmT5/uXNepUycMGDCg3nU5lWw2G3788UdMmDChxbzJ3ipzlNS7vinfrqnyj/vaqCMWQY+/Mv8BvS2rCSMlhLRXFkcxbEzkJsEGAA5mJilPsCuwKqOOpBn34a+s/2uGaAkhnvC2Jzs7OxsZGRnOpbS0tMbjp6enQ61Wu3TUAkBkZCTS09PdxtaxY0c8+eST+Oc//4nffvsNe/fuxUMPPQSO4/Dssy1jFCOPkuy9e/fCbDZjy5YteOqpp/Dxxx/j0KFDsNvtGDp0KFJTU70K4uTJkwgMDERoaKjL+htuuAGnT5/26Fhr165Ffn4+Zs+e7VUsLYlWEuL+c6sKHrXdbhVgZyacK/6pMUMjhBAAgEocBq7W609V7i9mlww7UGhJa7S4CCENJ8DDadUr/s5TUlIQExPjXBYsWFDj8S0WCyQSSbX1Uqm0XjPHzpkzB8HBwZg9ezbuvvtu/PDDD3jqqaeqVTj4ikflImlpaRgwYIDLw4jdunXDrl27cOutt2LIkCHYvHmzx0EUFxfDz8+v2no/Pz8UFRV5dKxvv/0WERERGDt2bJ1tS0tLXb5dZWdne/RaTS1acQOCpQHIMBvdtuPBoObd116n6v9C/5CnGjlCQkhTa+nXqU7aCThYtL2iZKT2RFrC1T201mX9DgTK4ho5QkKIt8qH5qt/f2zlZDT79+9HRESEc/31PdVV1xuN1XMcg8FQ6z6Vzp8/jwEDBuDZZ5/FvHnzwPM8Tp06heHDhyM9PR3vv/9+veNuKh71ZMfExODYsWPVHlIJDQ3Fli1bEBcXh6FDh+LUqVMeBSEWi2t8wNHhcNT4Dac2eXl52LBhA+677z6IRKI62y9YsMDlm1ZKSopHcTc1juMxIfIRSGB3eWL/emESE0S8+54kO6On+QlpjVr6dSpM0RcJ6l4VH601XYcYeIggrUeSbaVRRwhpUZgnvdiMA2PlV4KIiAhER0c7l9oS5sTERFit1mqlIZcuXUJCQoLb2H7++WdYrVa89NJL4PnydLZ79+6YNm0avv/++0Z7DxrCoyQ7JSUFBQUF+PDDD6tt8/Pzw59//omePXvWuN2diIgI6HS6asl7bm4uwsPD632c77//HjabDffff3+92j/99NNIT093Lvv37/co7ubQWZOMGfH/gJyvvOnAXD7IUgJvxg2qoDp+lTy0kpZx64QQ4pmWfp3iOA63RP8Hff37VOnHvnadEnMy3BrxIERc3SUl/tKYJo2VEOIZAbzHiydGjRoFmUyGX3/91blOr9fjr7/+wsSJE13anjlzBllZ154vCwwMhMPhcHnwERW5Y+WM2b7mUbmITCbDG2+8gd9++w0jR46sNn6hUqnEmjVr8PDDDyM+Pr7exx04cCDMZjOOHz+OpKQk5/r9+/fXq+yj0uLFi3HTTTfV+e2nklarrfN2REvQ3e8mvN59EPYUrMf+nO1wQECIOAaj4iYjStkBF0uisEf3lpsjCOjiN7UZIyaENJbWcJ0ScRLcGvUmBofkYHPGQujM6RBBgS5+g5AcPh4KkRoXStdCZz5fS283BwknR2ftcB9ETwipjYNxcLD6jxjiSVtUzGz9wgsv4NVXX0VISAji4+Px5ptvIjAwEI899phL20GDBuGOO+5wjlx322234fXXX8ftt9+OV199FYGBgVi/fj1+/vlnfPrppx7F0VQ8HsJv7ty5bgf4lslkWLRokUfHHDlyJDp37oy33noLy5cvB8dx+O6775CWllbttaZMmYIpU6Zg1qxZLuuPHz+Oo0eP4ptvvvHwjFoHnhfhxpCJCClKBMdx0Gq1CFOGAQAipTdDi99QiprLdMIV/dBRW/8vK4QQ4g2tNByD1Q+i2F4MAOgc0dl5G7eX9F5sNs+DUK38rfxDeXj4UzSEHyEtTGUZiCftPfXaa68hOjoaX331FUpLS5GcnIyvvvqq2rN63bp1Q1RUlPPnkJAQ7N+/Hx988AHeffddGI1GxMXFYfXq1ZgwYYLHcTSFFjHjo1gsxsqVKzFp0iT06NHD+cZ99tln6NOnj0vbVatWoXPnztWOsWjRIqjVatx5553NGHnzYYwhw5SNy7ar0PBqRKojAQBmsxmZGdnor34NOZJVuFDyG2xC+UMEEl6FLtop6B30IERc/WvbCSHEG1bBgqvmCzA4DAgRRzoT7NzcXPCGIEwMfx+HS5cgveygc59gWUcMCL4fHTSDfRg5IaQmzMOp0pkX06qjYpSQOXPmuG2ze/fuauuioqLw3nvvefWazaFFJNkAkJSUhIsXL2Lv3r0wmUzo27cvgoODq7X79ddf0aVLl2rrJ0+ejDvuuANqtbqZIm4+R4tO4YervyKtLMO5rpMtDndFTISySAqtVovw8HBE4XEkBc5FsfUSGBgCpJ0h5t1NZEMIIQ1nF+z4I+cn7C74ExbBBAAQWcXonz4UA8RjYNZbERMTA4VCgRj//0Bv08Fg00Eu0sJfGtPqZ+clpK0qH13Eg3IRDyejaetaTJINABKJpNqsP9ebMmVKjeuHD2+btXz7Co7gg/P/q7b+svEq3rn4GR4On4GE8Gs16GJejmB592aOkhDSXglMwOLU93FGf9hlvQN27CvcjIvcaTzSaR4UimulIBpJKDSS0BqORgghbYd3/fqkWdgFO766XD4MDbvuYSFW8b+VResgMMFHERJC2rsTJfurJdhVFbAcHDZsa9aYCCGNQ2DwbDKa+sxL1Y5Qkt2CHSo6Ab3dUC3BrsTAoLMU4FTp+WaPjRBCAGBfwV/g6phSfW/hpmaMiBDSWISKmmxPFnKN1+/G9u3bax1FxN02Un85Zl292uWa85o8FkIIqUmeJavWjoByDIXWPLrjRkgrxFA+VXp9F0Y12S68TrLPnz+PXbt21bqtpqdAiWeUovoNZ6UQ0cONhBDfkIuUdbaR8jLwHPVwEdLaVI6T7clCrmmSq9758+drHBmEeKZ/YBL4On5FYogRWhYAg8FQbcZMQghpar396x56ryPfAzqdDlartVliIoQ0DioXaRiPRxdZsWIFXnjhBZSWlsJisWDr1q0u28vKypCTk4MtW7Y0ZpztUoDUD6PChuDP3NofGpoQOQqRQREoLi6GTqeDn58f/Pz8IBa3qIFjCCFt1ICgkdiRtx5Gh75a2QgHDiJOjHHx0yCxSpCZmQmJRAJ/f3+oVCoauo+QFk6Ah5PRULmIC48zsU6dOmHGjBk4fPgwMjIyMGnSJJftWq0WQ4YMQXJycmPG2W7dF38XLIIF2/L2AgB4cBAqPsjGhA3DtNhJ4DkeKpUKNpsNJSUluHr1KhQKBfz9/SGXy+mDjBDSZNRiLR7q9Aq+vvJ/KLYVOB+CZGCQi5S4N+5pRKriABXg7++PsrIy6hQgpJWorMn2pD25xuMrW9++fdG3b18cPXoUmZmZGD9+fNNERgAAYl6ERzvPwqTIW7Ajfz9KrKUIlPpjaMhAhCtcx5mVSCQIDg5GYGAgDAYD8vLywBiDn58ftFqtc/Y1QghpTBGKWLzQ9WOcLDmIi4aTEJiAOFUX9PYfDCkvc7bjOA4qlYo6BQhpJSqH8POkPbnG6+6D3r17o3fv3o0bDalVtDIS02NrnojnejzPQ6vVQqvVwmKxoLi4GFeuXIFGo4G/vz+kUmmTx0sIaV9EnBhJ/gOR5D+wXu2v7xTIz8+Hw+GAv78/dQoQ0kJ4WmdNNdmuGnyP7vTp0zh37hwsFovL+k6dOlHJSAsgk8kQFhaG4OBglJaWIisrC2KxGH5+flCr1dRrRAjxKeoUIKTlqpxkxpP25JoGJdmzZs3C4sWLa9w2Z84cSrJbEJFIhICAAPj7+8NkMqG4uBh5eXlUE0kIaTFq6hQQiUTw9/enTgFCfEDwsCabHnx05XVmtW/fPvz888/YuHEjhgwZAplMVo+9iK9xHAelUgmlUlmtJtLPzw8KhcLtBxljDFmmPJgFC8LkQVCL6x4jlxBCPNHQTgGLwwKdJQciToxweQSN0U0I8Qmvk+xLly5h3LhxGDVqVONGRJpNZU1kUFAQ9Ho9CgoK3NZEbtUdxLK0P5BuygUAiDkRhob0xX0dJiJY5u+jsyCEtFWedgqU2cuwKutn7MrfDqtQPiZ3gCQQt4SPxYjQ0dQTToiHmIflIozKRVx4nWTHxcWhuLi4caMhPsFxXK01kX5+fpDJZPg5/S98c2WVc3guALAzB7boDuJY8Xks6PMMJdqEkCZTtVPAYDBU6xSwMgveO/dvZJjSXfYrshVhefr3yDXn4J64e30WPyGtEdVkN4zX99BSUlKQn5+PtWvXNm5ExKcqayLj4+MhkUiQnZ2No5dP4pvLq2E0S5FTrEZOsQbFRjkEVj4WbqG1FIuvrPF16ISQdoDjOGg0GsTExCAiIgIWiwVXrlzBL5dW4GpZOgw2KYqtcpRYZbA6REDFvAJb8/7CBf15X4dPSKtSmWR7spBrvO7JXrNmDbKysjBx4kRERkYiICDAZfvtt9+O+fPnN0aMxAeq1kT+cmoFLucGwmKXOD+wAA65xQKigoqhlluxLe8wHux0OzQSqtEmhDSPyk6BwKBAvHVoAXItWgCc8zplsMsh420IlJVBxHHYnrcFXTQJvg6bkFaDerIbxuskOyYmBvfdd1+t25OSkrw9NGlBTA4bFp+9Aou98p/KtT8ggXHIyA9AfGgB5FI7cs0FlGQTQprd7sKjyLWIXDoBKlkEMQosKgTLjMg2Z/ksRkJaI+bhiCE0F40rr5Ps5ORkGqKvHfjtyknorQ6XD61rODAwFOhViAoqgVxE49kSQpoXYww/pf9V8fFe83XKKohhFcSQ8zQKFiGeoJ7shmnw4MhGoxFr167FxYsXkZCQgJEjR6KgoABdunRpnAiJT61NO1Pl5mtNOJSa5EiRyxF13TTvhBDS1LLN+Ug1ZtWSYFdiKHOI0SegfzNGRkjrJ8DDJJvGyXbRoCR7zZo1mDt3LvR6PdRqNSZOnIgRI0Zg7NixOHbsGFQqVeNFSnyixGqqkmAzcBwAjpUP08NQ8cHGYXLkcBoeixDS7Az2MpefOTDwXPlVS2AcWMWHvghSDAq60ScxEtJaUU92w3g9ukheXh7uuecePPPMMygqKsJbb70FAAgKCsLNN9+MH374oTHjJD4SqwkAD4DjBYgkFYuYQSwRIBILACdAxvMYqLzB16ESQtqhEFkAOHDgwCAX2aAU26AQ26EQ26EU2yAT2QEw9JJ1h4RRSRshnqDRRRrG6yR7y5YtGDhwIJ577jlIpa4Xru7du+PYsWONER/xsWmdeoPx5Yl1NRwgEjMMDYmFvrQUpaWlvgiRENKOBUi16B/YFQqxHSKu4m5bBY4DxJwAhciBCRHDkJGRAbvd7stwCWldGAfmwQJKsl14nWTb7XYoFIoat5lMJppmvY24wT/EmWBfXw3CceVLmqkQgYGBKCgogMFg8E2ghJB2K04VCP66BLsSxwEinuFs0XkEBAQgIyMDDofDF2ES0uoI4DxeyDVeJ9l9+vTBpk2bcOTIEZf1jDGsXr0aAwYMaIz4iI+tST9ZZ5vL5iLsTzuP4OBg5OXloaysrM59CCGksRwqcn/nlAOHA2XHUFpaCq1Wi8zMTAiC0GzxEULaJ68ffOzatSsmTJiAgQMH4u6774bJZEJWVhamTJkCo9GIqVOnNm6kxCcyy0oqqh2rPP7IACaUf1vl+PLeo0KHBTqdDv7+/sjJyUFEREStdzoIIaQxFViKqq2zCzxsAg+eY5DyDhSzUlitVuj1eigUCmRmZiIqKgo873VfEyFtHj342DANGl1k6dKlePXVV7Fo0SLk5eVBLpdj8uTJ2LhxIyQSSeNFSXzGXyJ3JtiMAQ6bCIKNrzJcFgMvFqCQlNflGwwGyOVyZGVlITo6GjKZDBaHBecNZ2F1WBGuiECUItqjGOyCFWnGfSizF0IpDkScagDEPD3ARAgppxIroLcbAQBWhwgFJiVM9mufQWLeAbFSDKVSCcaY8zqVnZ2NyMhIcByHdGMhzpbkQMKL0DcoFlqJZ50EGcZi7NFdgYMJ6BkQie4BEY1+noQ0N2ettQftyTUNSrJlMhneeecdvPPOOygrK4NcLqdegTZmQmwPfHZ2JxgD7GYxmMBfN2o2B8EuwidnDuPDpJuhUWhQaivDGUsGTp6/CosmD7uKNsPkMDn36KjqhL/FzUKMMrbO1z9ZtAZ78r6CRbhW6y3j1RgU+iB6+E9o9PMlhLQ+NwUPwIaczbA6RMjUa6uN628XeFwwMPySeQC3BnRHWFgYjmSdQ5HDAFZ6GRuKrmB3/iVneykvxh1x/fB0t9GQidx3GJVazXjp0Fr8mXnG5XWTAiLxbsoUxGuCGvlsCWk+AvOsd1qgKR9dNHgymkpKJU2n3RZ11oZgQkx3rLpypiLBRo2TPpw3FmNFxllYCnKw33gRdpTXO3I6Bq1UhBA5wFfsdsV4Gf85+yZe6PoqIt30ap8sWo2tuR9WW28RDNiaswBgDD0CJjbWqRJCWqnxkSOxLW8PsvTiikT3+mtU+c/f5x9AqFiJtVkrcdWW79zqEDhIRVJYHeUfiVbBjh+u7EO6sRCfDrgHPFdz55HVYcfsHd/jeFH16dpPFGVj+tbF+HXUAwhXaBvxbAlpPtST3TANTrJPnz6Nc+fOwWKxuKzv1KkTTbveRrzdfxJ2Xs2EDsZaZ1XjACzLPoOwsDyX9QwcSqxyWBxiRKuKwXMAA4NVsOKXjBV4rMs/ajyeTTBjd95XbuPanfcVbvC7BWKaKpmQdi1EFoQHO87GEwd+dNvODgEf522CROQ6ugjPMWjkFhgsDJYqZSY7dBewU3cRQ8MSajze+ozTNSbYACCAocBixDfn9uLF3rd4dV6E+BrzsCabkmxXDUqyZ82ahcWLF9e4bc6cOZRktxEykRg8eLfTFjMAJltt94k4mB0S6G1y+EnNFe0ZjpccRYmtGH4S/2p7pBr2wioY3cZlFQxINexBZ+1wD8+IENLWMFa/L9sOVv2Dj+PKnzlRSa2w2MXOax0PDr+kHa41yf4l9Rh4cBCqFahc83PaUbyQNJpmxCWtEqt4HsuT9uQar5Psffv24eeff8bGjRsxZMgQGhe7jdNIZMiB+zGwOc7dnxdDsfVakl3p2MWjCBdFVmudxs7UKy6jvaBe7QghbZtKXJ/PIFZrV0FlDiwT25292QIYLhVl4/z58zXuk15S4DbBBgC9zQKr4IBM1GjVmYQ0G0/HvqZxsl15/Vd/6dIljBs3DqNGjWrciEiLND7+Bnx4bJebFgwqpcXNdg42QVRtrVqigUwig0gkAs/z4HkeIpEIemskoK87LqU4sH4nQAhp07r7RSNEpkWexd3MsxxEvPvxsfkqnQUcAD+xAlKp1Hl9qrxG8TyPUKUGWVa92zRbKZZCyle/9hHSGlBNdsN4nWTHxcWhuLi4caMhLdY9ib3x7dlDKLVYqvXc8ODAOAat2lTr/gCDCNc+3DhwiJREI6lDb4hE1T+A/IVbcNDwP9hY7ceU8ArEqwd5eUaEkLZEzIswp/PN+L9Tq2ptw3MCRLz7nueqSQIDMD6mF+Li4mos97ircz8cOVhzTTYqkvTb4pKoVIS0WjROdsN4Pd5eSkoK8vPzsXbt2kYL5qeffsKdd96J8ePH480334TR6L4mt6qCggLMnz8fEyZMwH333Yft27c3WlwECFWo8f0tdyNEqQIqkmS+4raQRirFXd3iIJW4m6qYg0Zqcf43AAyU3IgrV66gqKgI7LqiLwmvwICQWW5jGhB8PyS8vEHnRQhpO26LScHDXUaBq1JTXSk5sCOC5O77lRgrH2cbFVepKKkWPVkArl69CpOp+hf+CTE9kOgXWuMNch4ctBI55iQMbPB5EeIrjHm+kGu87sles2YNsrKyMHHiRERGRiIgIMBl++2334758+fX+3jz58/HggUL8J///AdhYWF44403sGbNGuzcubPOiW3OnTuH4cOH48Ybb8QDDzwAh8OB119/HfPmzcNNN93k7SmS63QPDMOO2x7G71fPYU/OVQiMIZpJMLVLT4g1EszZdwomR/WeboCB5xj8peUfUlJIMDN+NhLFXaHT6VBYWIji4mIEBwdDrVaD4zjYBDtU4psQI85Bln0dHLA6jybm5BgQcj+SAm5v5neAENKScRyHOZ1HYHxUX6zLPIzMsiLIOTG6syDc2n0QVmbswOcXa+8YstjFEFh539MN6jB8NOAe2Av1zhmNlUolgoODnZ9JepsFz3cbiQ+P/4UTRp3LsTppg/HBgNsQpar+YDchrYaH5SKgnmwXXifZMTExuO+++2rdnpSUVO9jZWVl4a233sInn3yChx56CADQr18/dOzYEUuWLMGcOXPc7n/PPfdgyJAh+Omnn5zrbr/9do96wkn9SEUiTOrQDZM6dAMA6HQ6GAwGRId2xPt9H8JLxxahwFoKrspTxsEyP4yP7AytVIQIeSSirXHQiDTw9/eHSqVCeno6bDYbCgsLkVdYgA1lZ/Fr5kGU2MoAAP6iZEyO9sOA0EiYCgV0DR6JkECaTY0QUrNwhT/mdB7h/PnixYsoLS3FXbHDUOawYOmVTRDAwIFzzmjb068zOig6QCaSYFBwR/iVOBAiU0Mc44/i4mLodDqYzWakp6cjj7NjYdpRbM665Ny/ozIAN8Z0RKRcg1Arjym9B1OZCCHtnNdJdnJycqMN0bd+/XrYbDbceeedznUxMTEYNGgQfvvtN7dJ9q5du3D48GH897//rbZNpVI1SnykdoGBgbiSnYO9B46izGbHNOlYOLSFuCoUgOd5DIrsgYFBXSGu8uCPzWZDeno6tFotJBIJOnbsiNzcXBQWF+HDvK04rL/q8hrFDgcWpxXijCEQfaWx+O7EBvBSCTprQ3FHXD/Eq4N9cOaEkNZCpVJhx5WL0IkBngvGEwGTkS8vRpYhH5H+obglqj9iVaEu+xTyhSgsLERoaCj8/f2hVCqRkZGBC/oCPHN2K0wOm8s9u9SyUlw5dwyv9B2FPfnp+OXP5ZBLpBgZ3QmTOnSFUiJt9vMmpKHowceGafCYQnq9Hlu3bkVqairCw8MxePBgREVFeXSMM2fOIDg4GIGBriNFJCQkYOvWrW733bVrF8RiMfz9/TF37lxkZmaiU6dOeOSRR9CtWze3+5aWlqK09NqT6NnZ2R7F3d5ZHQ68vXE7lh06DqFKIVaAXIanBvXFtBsH1NiTI5FIoNFoUFRUhODg8gQ5LCwMu4yXqyXYlQQGbM9JxXakVdQ/ctiVdxFLLu3GE11H4YEuQ5rsPAnxJbpONcz5wnw8tnMDzhe5DveZHBSGd266FR3Dwmvcz9/fH6mpqfD394dUKoVUKkXHjh3x1NrN1RJsABAAMAcwb99moKKmm+M4bEy/gAVHd2Dp6GlIDAhpsvMkpCnQg48N4/WDjwDwxx9/ICEhAZMmTcKTTz6Ju+66C126dMFHH33k0XFKSkqg0WiqrddoNCgpKXG7b15eHniex8iRI9GlSxc88sgjKC0tRZ8+fbBjxw63+y5YsAAxMTHOJSUlxaO427tX1m7EDwePuSTYAFBstmD+1r3YfaXmhBkVPeClpaWw2+3OdetyjzkfWKqKMcBqv/Z9kFVMZlP53x+d2YTfM0820lkR0rLQdcp7mYZS3LXmR1wsLqy27WBBLh7evgFmu63GfXmeR2BgIAoKriXn54vzcLJUV+OQfUwAmMA7C+UY4Lw25pvKMHPjchht1hr2JKTlogcfG8brJLukpATTpk3DuHHjcOnSJdjtduh0OsybNw/PPPMM9u7dW+9jicVil2Srkt1ur/OhR7FYDKvViieeeALPP/88Jk6ciMWLF6Nv3754+eWX3e779NNPIz093bns37+/3jG3d+d1+fjteM0TxlQmwQs276x1f5FIBD8/P2Tl5GDV8eN4f+tWHL1SCLu1epLtYFxlv1CNx+LAYeGF7dVGKCGkLaDrlPe+On4AxRZztY4AVFynzhflY9XF2ie+8vPzg8lkwvmsTHyxbzcW7NoGZuFrTCSYozLBrn6dEsCgMxnx6+VTDT8pQppReeLMebD4OuKWxetykW3btqFjx45YuHChsyQgJCQEzz//PC5fvozVq1dj4MD6DV0UHR0NnU4HQRDA89fy/pycnDpLT6KjowEAQ4a4lgvcdNNN+Prrr93uq9VqodVq6xUjcbX6hPsZGRkDTmbrsPf0WUSqlRAEAQ6HA4wxCEL5eNn7c3PxwbFjKLZW9u7IAcgg1VqgijCAq/inIAi1f3ihIqE/V5qLXHMpwhV+jXuihPgYXae8wxjDynPu73BxAH48eQQ3qgPhcDggCIJzYYzBLgj4/OxJrM9IqzLKvwQoY2BKOziZUPFaqPX6VIkHh03pFzEjsU/jnCAhzYDBw5psmvHRhdc92cXFxejcuXONNbddunSps8yjqkGDBsFiseDw4cPOdYwx7N27F4MGuZ9spHKIvsJC19uBhYWFCAmh+remUmAsA1+PJ+fz9AaIxWIolUoEBgYiLCwM8fHxKJTL8frBgyixXn/7lIO1VA5Dpsbjb8QWR/W7IYSQ9skmCDDUUZ7BAOhMRjDGIJPJoNFoEBQUhKioKHTs2BGLMlKx1iXBrrKjUQxmrf9HKAOjaxRpdZgXi1evwxhOnjyJXbt2eZQ/VjKZTNi/fz/Onj3bou5qe51kVz6UmJOT47LeZrNh5cqV6NKlS72PNXz4cPTo0QPz5s1zlo18+eWXyMnJwcMPP1yt7eeff+78OSkpCcOGDcN7772HsrLyId/Onj2LFStWYNq0ad6eHqlDiFpV4y3Y66nFPIxGI4xGI0wmExwOB3iex4d79rj9g7QZZLCbym+0cFzdr6MUSRGmoN4+Qkg5Cc/DTypz24YDECyVw2QywWAwoKysDFarFYwxXC4uwsqztZV3VHQwlImqdAbUnWIk+NNISKR18axUxMMxtSukpqaid+/eGDt2LJ5++mlERka65Hl1WbBgAcLDw/HQQw9hxowZGDx4MFJTUz2Ooyl4XS4ycOBA3HDDDejTpw9mz56NDh06IC8vD99//z0KCgpw77331vtYIpEIK1euxNSpU9GxY8fyYeGuXMHixYurjRCybds29O/f32Xdjz/+iNtvvx1xcXGIi4vD6dOnMXPmzDprson3Jvfqhi93Hah1O8cBvSLDMaxPb5hMJhiNRpjNZuTn5+NUWhoOZGbW8QoMthI5pEojRLwAh1B96vWqpsb2gVzkvn6fENJ+cByHOxN7YuGJg7W2YQDu7ZOCjh07wmAwOK9VJSUlWHzBfUkcwAECB97BA2IBDp4BQu39VgzAPQm9G3BGhPiAp93TXnQi33333QgKCsKBAwcglUqdnaS9e/eus5rho48+whtvvIFNmzY5h5U+dOgQdDod4uPjPQ+mkTVoCL9169Zh3rx5WLRoEbKzsxEYGIiRI0fi3XffrTYcX10SExNx6tQpnDx5EiaTCT169IBSqazWbsuWLYiJiXFZFxERgd27d+PChQsoKipCly5dqs1ASRpXp+BATOvbE8sPn6i2jePK6w/n9O0BjuOgUqlcxiw3XXf3oyYcOARL/NFLHYKuijAUWW1Yln/cZfKISh3VwXgk8eZGOjNCSFsxt1cyVl08gwJTWQ0z0QJdNP4YGR7rHAbW3//a7Iws/Qr4iqH53OkdEIFIpQIp6lAsunoWl8tcb3VXTsz1j9430RB+pPVp4hkfDx48iH379mHTpk2QSsvHkr/zzjsxf/58fPbZZ26TbIPBgFdeeQWvvPKKy7wt/fr18yiGptSgJFuj0eD999/H+++/D6vV6nyDvMVxHHr27Om2zfDhw2vd5kmJCmm418aOgEYmw5L9R2B1OJzrI7VavD5+JLqoFcjIyEBkZCREoms90WFqtcuMkLUZEtoJ94Z1gFwuR3R0NDqdCcXy7KO4WJYPAFDwEkyI6Ikne94CP6miyc6TENI6hanUWDFpOv6xZR2O6K6NL84BGBPfBa8PvBnFBQWAw1GtYyZco6kzwQaAJzv2Q7hEivDwcIzv0R9v79mI9blXYKwYGjBeqcXjfYbgts49Gv38CGlqng7L52k59J49e4CK6oiqBg0ahC1btrjd96+//oJer8fkyZORkZGBtLQ0dOjQAZGRkZ4F0YQaPBlNpYYm2KT1EfE8nhs1BA/emIxtF6/AYLEiPtAfAzvEguc4MMZQXFyM9PR0REZGOv+NhKrVGBofjx1pabXWdTMANwYGQiaTITAwEDzP484bBqOfNBwWGQdtYAA0TAJDcQkl2ISQWsX7BeDXKTNwKj8XR3XZEPM8BkfGIkZb3mvtUKmRlZUFq9WK0NBQ58P8tyV2w4f7dtfaGcAB6KL1R4RUBp7nnSPAvJw8ArNysiEJCoBGoQArMdQ4DwQhrYG3Mz5eP2lWbaMkZWZmQqPRVJuhOzw8HFlZWW5f68KFC+A4Dl9++SWWLFmCTp064eTJkxg5ciS+/fbbFlHR0OAke9WqVVi+fLlzxsdRo0Zh7ty5dY5vTdoOP4Uck3p2rbae4zgEBARAIpEgIyMD4eHhUCqVMFituCEqGNtyL0NgABwAZ+fAVflDHhkdjeQOHYCKh2lRUbuvUCggsloRoyovRyrOL4DNZqN/b4QQt7oHh6F7cFi19SKRCNHR0cjNzUVmZiYiIiIgEolgstnRIyAMJ3W5AAcw/tpw/RwAnuMwN7EbYmNjkZGR4RyCVq1WQ8qLECySIkClRRknRmFhISXapF25ftKs1157DfPmzavWzm63QyyunoqKxWLnZ39tzGYzGGPYsWMHLl++DI1Gg6tXryI5ORnPPvtsncM4N4cGJdn3338/Fi9ejKFDhyIhIQH5+fl49tlnsWjRImzfvh0KBfUwEkCtVkMikSArKwsZgg2P7/wDxRYzOFFFfbUYYFIGzsJBJogxuUMHvHrLLcjX6SASiVzuktjtdsjlchQWFiIoKAharRYlJSXO6dkJIcRTHMchLCwMRUVFuHr1KpalpWFhxZCyPMon2OCE8mH4mAQIUyrxYvIgDIvviMzMTIhEItjtdkilUlitVsjlchQVFUGlUkGhUMBms1FnAGmdGOdZnXVF2/379yMiIsK5urax/v38/GAwGMAYcxkSurS0FH5+7ue9qHyG4oknnnB+iY2NjcXMmTOxaNGiFpFkez2E38GDB7F8+XLs2rULW7duxbfffou1a9fi4sWLKCgowDfffNO4kZJWTSaTQREciEe2rUepxQxUmRodqOghkjP8e9iNeLhXLyhkMucDrpXTr1dOFhEWFobS0lKYzWZotVqUlpa2qHExCSGtD8dxCAwMxGadzplg47pnRzhwiJKosHzMRAyKjIZWq0VUVBRsNhuKiorAGIPJZIJSqURwcDByc3OBigSjtLTUB2dFSMN4O616REQEoqOjnUttSXa3bt1gs9lw+fJll/Xnz5+vNrrc9bp37w4A1cpCAgICoNfr4ajyrJiveJ1knz17FqNHj6725GdkZCTmzp2Ls2fPNkZ8pA1ZceE0DHab24eJ/sjLhFKpRElJCXieR2hoKHieR3p6OvR6PeRyOUQiEUJDQ5GTk+Ps6a4cI50QQrzlEAR8c+yY2znrssvKcMlicX75l8lkzunXc3JyYDabIZfLodFoIBKJUFxcTJ0BpPVq4tloRo0aBbVajZ9++sm5Lj8/H5s3b8aUKVNc2m7btg1nzlwbWvOmm25CWFgYduzY4dJu+/btSEpKchlwwVe8LheJi4uDXq+vcZter0dcXFxD4iJt0B+pF9yOKsIAbEy7iI+GjUVWZib8/PwgkUjAGENERAQyMzOdwzqqVCoYDAYUFhbCz88PJSUl1R6cIIQQT5zNz0eOweC2DQdg85Ur+EffvigsLERoaCikUik4jgPHcSgsLERAQICzBCUtLQ0qlQoSicTZy01Ia+Htg4/15efnh7fffhvPP/885HI54uPj8e6776JTp07VJiOcPHky7rjjDixcuBAAIJFI8Mknn2DmzJmQyWTo06cP1q9fj23btmHjxo0exdFUvO7JTklJgU6nw/vvv+9SnL527VosWrQIt99+e2PFSNqIMputzi+5AmPgxCJoNBoUFRU5P7hkMhnkcjmsVityc3PBGENISAj0ej3EYjHMZnOLuDVECGm9THU8aIWKshKz3Q5/f38YDAZnrbW9Yp1IJEJ2djaMRqPLXbfK50cIaXWaeE71xx57DCtWrMCBAwfw9ddfY8yYMdi5c2e1L6TDhw+vVkJy5513YvPmzUhPT8fXX38NtVqN48ePY8iQIQ0540bjdU/2unXrUFBQgGeffRavvvoqIiMjkZ+f77w1NnHiRGfb22+/HfPnz2+smEkr1TUoBKklRTVOCoGKHqIwhQr6omKoVCrk5OTA398fEokEVqsVFosFcXFxKCgocA4LGBYWhtzcXKhUKpSWlraIIXsIIa1TfEAARBwHh5uyDoExhIrF0Ov18Pf3R0FBAQICAmCz2WA2m6FSqRAQEIDs7GxYLBZnfajVakVZWRkcDkeLuI1NSH00dU92pfHjx2P8+PFu2/z22281rh88eDAGDx7s1es2Na+T7JiYGNx33331apuUlOTty5A25G9dk7Du8rlatzMAt8WWTyiUn5+PbL0BX6xah81p6TBYbQhTKXFP/z74W58kyM0mpKenO4cFPKrLwfLzZ3GkMB8CY0iOiMJ9SX1wUwyVLRFC6idYqcSYLl2w4fz5WjvlxByHSQkJMJvNMBgM2JOejQ2X03EsWweO49AvOhxzbkzB4PgYZ412SEgILqelYUtGNtZt2YUMvR5amQwTu92AGf16I1yjbuYzJaSemmFa9ZbgypUriIqKavQ5X7xOspOTk12msSSkLoMiY3FP1yT8cOZYjbXZfUMjMDEyHkVFRSjkxfj7X9thtF67fZttMOK9rTux6uQZ/PC3uxAeHo6cnBz8npuF/xzc63LMzWmXsSn1Eh7rPxDPDLyxWc+TENJ6vThsGA5lZUFnMLhco3iOg8AYnh84EJzZDAuAny9n4Ou9h12uPfuuZmJP2q94YtggPDpkAAoKCnAxNQ0v79yL47l5zrYGixVf7j2AH48ex5K770D38FAfnTEh7lQMDu9R+9Zn8uTJ+OGHH9CjR+POzOp1TTYhnuI4Dm/dNBqv3zgS0Zpr41/6yeR4tPcAfD9hGrp26QK1Voun1v4Ok9W1PrLyQ+xCfgFeXLMegiCgSCbBfw7uddmOilu6APDpwb3YnOo6NBAhhNQmQqPBL9On4/bu3SGtUtbRMywM/5s8GXMGDULHjh2x52oWvt5bPtSf67Wn/P8/3rYHf508A61Wi8VnL+B4bl61tqhIth/+eRVs9EwJaYmaeHSRliIsLAw5OTmNftwGTUbDGMPGjRtx7tw5WCwWl229evXCLbfc0tD4SBvDcRzu7d4XM7r1Qbq+GHaBIVqjhUx07Z/iiWI98k1mt8fZfOUqLmfn4MsTh9yOWMJzHL45eggj4js28pkQQtqqcI0G74wZg1duvhk5ej1UUikiqszYKBaLsfFqFnjuWlJ9PY4DVp44izCZGKvPnK/1tQTGkKM34K8Ll3HrDV2a4nQI8V47KRe599578e6772LgwIFQqxuvfMvrJNvhcGDMmDH466+/EBAQUK2O5W9/+xsl2aRWPMchTlvzQ4qHM7Pq3N/BGM7k5eNYYYHbv2mBMRzIzmxApISQ9kotlaJzUFCN2w6lZ9WaYKNiEo+jmTm41DkWNsHd7ADlN9gPpGdQkk2Ij+zduxdbtmxBXFwckpKSqo1s8tlnnyE2Ntbj43qdZG/ZsgUnT57E2bNnkZiY6O1hCKmGq2dJF8/Xr9qJJoAghDS2+lymKocgrQ+6SpEWicHDadWbMpimo1Qqcdttt9W6vb75xvW8TrJzcnIwYsQISrBJoxsYG4OF+w65bSMViTCyVw/sLs3Hb+dOuy0XSYmMbpI4CSHt16AOsdh8/rLz+Y/rcQBu6hyP4T27Q7p1F6xuaq4ZgOSYqCaMlhDvVJ0qvb7tW6N33323SY7r9YOP3bt3p6nTSZMY0jEe8QH+4N30AE3t0RUBCgXu69WnznKRWUl9myROQkj7dW9Kn1oT7Eozk/vATy7H1B5da23DcxzC1CqM6tKpCaIkpIHayYOPlfLy8vDHH3/gf//7HwoLC1FQUAC73e718bxOsvv06YOEhAQ8/PDDOHDgAC5evOiy5OXleR0Uad94jsMXd0xGoFIBVLktW5l094uOxAsjhwEAksLC8eqQm8u3V7mBW9n20X4DMKoDfXgRQhrXgPgYPD+qfFa5qt0BlQOevTp2BHpFhQMA/jViGJIiy//7+vIRlVSKL+6YDAlNUENaIsZ5vrRCjDG89tpriI+Px9ixY/HII48gKysL77//PhYsWOD1cRs0uoifnx++/PJLfPnll9W2zZkzxzm/PCGe6hQUiHVz7sXyoyew+tQZFJvNiPH3w7SknpjY/QaXobXuT+qLnqFhWHTsMHalXy2fjCYyCvf27INhcfE+PQ9CSNs1Z1B/9IuJwtIDR3EwLQMcBwyMj8XfkpPQsyKpBgC1TIrv77kTK4+fwrKjJ5BeXAxNxWQ0M/v1RoRW4/Z1CPEVDgDnQe9060yxgc8//xxffvklvv/+e9x6663o378/AODpp59Gz5498dxzz9X7+YqqvE6y9+zZg6+//hrvvPMOBg4cWG10kdBQGlifNEygUoFHBqfgkcEpdbbtHxGF/hFU00gIaV69oyPQOzqiznYysRh/65uEv/WlGZBJK9JOhvBbvnw5PvroI0yZMsVlfXBwMEQiEVJTU9GhQwePj+t1kn3p0iVMnDgRzz//vLeHIIQQQgghLZWnJSCttFzEYDAgIqLmL8uCIHjVi42G1GTHxsZWm4CGEEIIIYS0Ee3kwcfu3btj0aJF1dafPXsWFovFqzGy0ZAkOyUlBRcuXMDatWu9PQQhhBBCCGmp2kmS/cQTT+C7777DiBEj8NVXX8FgMOD333/Hbbfdhqeeeqr5x8lev3499Ho9Jk6ciMjISAQEuM7ed/vtt2P+/PneHp4QQgghhPhSO6nJ7t+/P3777Tc88cQTePDBBwEAr776Kp566im89NJLXh/X6yQ7JiYGs2bNqnV7UhI93EEIIYQQ0mq1k5psABg/fjzGjx+PtLQ0lJWVIT4+HgqFokHH9DrJTk5ORnJycoNenBBCCCGEkJYiLi6u0Y7VoHGyAUCv12Pr1q1ITU1FeHg4Bg8ejKgoGkqNEEIIIaQ145iH42S3onKR9PT0eg/gERsbW22o6vpoUJL9xx9/YNasWcjJyQHHcWCMQaFQ4O2338aTTz7ZkEMTQgghhBBfasM12WPHjsWpU6fq1fbEiRPo0aOHx6/h9egiJSUlmDZtGsaNG4dLly7BbrdDp9Nh3rx5eOaZZ7B3715vD00IIYQQQkiTWb58OQ4cOIADBw5g1apVUCqVeOKJJ7Bu3Tps3boVH330EaKjo/HUU0+hc+fOXr2G1z3Z27ZtQ8eOHbFw4ULnIN0hISF4/vnncfnyZaxevRoDBw709vCEEEIIIcSH2vK06t27d3f+9+zZs/Hyyy/jhRdecK4bNmwYxo0bhwEDBuCdd97x6jW8TrKLi4vRuXPnGmfB6dKlCy5fvuztoQlpNja7A6sPn8GKfceRmlcElUyKW3sl4J4beyMq0M/X4RFCCDKLSvDdnqP4/eR5lFmtiA8KwF0pvTCpd1dIRCJfh0fasnYyusixY8cwd+7caus7d+4MtVqNq1evetWb7XW5SEJCArZu3YqcnByX9TabDStXrkSXLl28PTQhzcJss+Ohr3/Fays34nSGDgazFbklBizecRi3fbAUR9OyfB0iIaSdO3I1C5M/WYrFuw8jt9QAvdmKU1k6vPLrRjy85DdYbHZfh0jasnYyGY2/vz+2b99ebf3ly5eRmZkJPz/vOt287skeOHAgbrjhBvTp0wezZ89Ghw4dkJeXh++//x4FBQW49957vT00Ic3ikz92Y/+ldACAwFyvDCarHY9/uxobX3wAckmDB+EhhBCPmaw2/P27VTBfl0hXXq/2XLqKTzfvwTNjhvgoQtLmteEHH6t64IEHcN999yE3Nxe33HILlEoljh8/jnfffReTJk1CSEiIV8dtUPawbt06zJs3D4sWLUJ2djYCAwMxcuRIvPvuuwgMDGzIoQlpUmVWG1buO17rdoExFBlN+OPYOUzu373WdoQQ0lQ2nDiP4jKz2zbL9x/HozcPhEIqaba4SPvRlofwq2r69OlwOBx48cUX8cEHHwAAZDIZHn74Ybz11lteH7dBSbZGo8H777+P999/H1ar1asxBCsxxvDVV19hxYoVKCsrw6BBg/Diiy/WK1nv378/7HbXb/qJiYlYvny51/GQtu1Cdj6MFpvbNjzH4dCVLEqyCSE+cSgtEzzHVbvTVpXBYsUFXQF6RYc3a2yknWgnPdk//vgjxo0bhxkzZiA3NxcGgwFxcXEQixt2J7tBe+/ZswcymQx9+/Z1JtiZmZk4cOAApkyZ4tGxnnvuOSxevBiffvopwsLC8Oqrr2LYsGE4cOAA5HK5232PHj2K119/HePGjXOua+hUmKRtY/W8EtS3HSGENDbmJrn2ph0hHmsnSfZ//vMfdO/eHYGBgQgLC0NYWFijHLdB42Tfd999iI6OdlkfERGBt99+G4cPH673sa5evYoPP/wQ7733HqZNm4bhw4djxYoVOH/+PBYtWlSvY8TGxqJ3797OJTEx0eNzIu1HQkQIlHXcXhUYQ78ONHspIcQ3+sVFue3FBgCVVIKEsOBmi4m0L5XlIp4srVGHDh1w9uzZRj+u10n29u3b0bVrV4SGhroekOcxefJkrFq1qt7H2rBhAxwOh0vvd1hYGAYPHozVq1d7GyIhtVJKJbhjQM9at3McoJVLMaJrh2aNixBCKo3rlQg/hRx8DUPlVprQozM9nE1IA73wwgt45ZVXsGPHDths7ktJPeF1km0wGGoNxGq1oqioqN7HOnv2LEJCQqoNkdK5c2ecO3euXsdYsGABBgwYgClTpuCjjz6C1Wqtc5/S0lJkZGQ4l+zs7HrHTFq/J269EZ2CK2r+K3uLKv5fyvN44Zb+yMvJRklJCd2OJT5D16n2SyGV4L07x4IH53rbvuL/e4QF4s5uHXD16tV6feYR4rHKcbI9WVqhhx9+GBcuXMDQoUMhl8urLadPn/bquF5//e3bty/mzJmD8+fPIyEhwbneaDTi+++/x8svv1zvY+n1eqjV6mrrNRoNSktL69y/V69eeOyxx5CYmIhTp07h9ddfx+LFi7Fz504olcpa91uwYAHmz59f7zhJ27Ju2ylknyiATAnYFIAgZuAYIDYDCiugYCIIgoCioiIYjUaEhYVBRBM/kGZG16n2y2y148vf9oAvEiCSAw5peYLNCYDIAijKRBDxHOx2O9LT0xEcHAytVlvjJHGEeK0d9DG99NJLKCwsrHV7RESEV8f1OslOTEzE+PHjMWDAAMydOxddunRBTk4OFi1aBKlUimnTptX7WFKptMZecavVCplMVuf+e/fudT54eeONNyIlJQV9+vTBokWL8Pe//73W/Z5++mk88MADzp+zs7ORkpJS77hJ61ViMOGD77eCAyAuK1+uYXBwApb+cRqvzBoMh8MBxhiuXr2KsLAwt1/cCGlsdJ1qv37ZdQInUnNquU4Bx9PysPtcFoZ1jwVjDMXFxdQhQBpVexnC77bbbmuS4zaokGvp0qV48cUX8fXXX6OwsBAKhQITJ07Ehx9+WOeIIFVFR0dDp9PB4XC4XBiysrKqPVhZk+uHDuzduzdCQ0Nx4sQJt/tptVpotdp6x0najj92n4XN7qh1u8AYzqblI6fQiIggNWw2G+RyOXJzc6HRaBAUFES9RaRZ0HWq/Vq54zg47lo12/V4jsPWM+VJtlgsdl6nrl69ivDwcBplizRcOxldpNKaNWtw4MABGAwGJCYm4u677/Z6tkc0NMmWy+VYsGABFixYAKPRCKVS6VXiMWTIEFitVuzfvx+DBg0CADgcDuzZswf33HOPx8czGo0oLCxEUFCQx/uS9iE9p8jth1clKyu/kyIIAux2O+RyufPWbEREBMqsDlzMzseOS6nYcTEVBUYTwrVq3N6vByb27koPJBFCvJaeV+z2GiUwhsxCPRQKBSwWCxQKBQwGAwIDA5GTkwONRoPAwEBk5pXgVIYO2y9cwaHUTAgCQ98OUZg+OAm94yKb85RIa+PpiCGtNMk2Go2YMGECtm7dipCQEKhUKmRkZOC1117Dr7/+6sxNPdVoGYBKpfJ635tuugn9+/fHyy+/jHXr1kEul+P9999HUVERHn30UZe2vXv3xn333Yd//OMfAIBVq1ZBKpXi1ltvBcdxKC0txYMPPgie5zFjxowGnxdpm1QKWZ0JNgDYLEbI5eGw2WzOOy0OhwMmB49nvvgNO89nwKwGUOXObJ7eiOMZOVi2/xi+mX0H/BT1v6tDCCGVlDIpSuuY8VHKl3dsORwOcBwHtVqN4uJi+Pn5Y+uRC/h+8ypcKiqBXQUAHFDRD7b+6FmsO3IW/xh7E+bcnNwMZ0NapXbSk/3ee+8hLS0NBw8eRL9+/QAABQUFePzxxzF79mycOXPGq+O2iG42juOwcuVK3H333YiMjIRWq4XZbMaKFSvQqVMnl7bHjh1DZmam8+cePXrg+eefx913342wsDCkp6ejZ8+e2LRpE7p27eqDsyGtwYiULli0ep/bNn4qGWJDVTAajQCAi1lFWH/wCg5cyIZFwsB4DjZV9TF6KkciOZudh9d+24QPp09ouhMhhLRZY/olYMWO427bDE6MgF6vBwBYrDas23UOmw9dxZWiUggKwCEChMo+sCo3mis7GT7YsBNdo0IxOCGuyc6DtGLtJMneuHEj3nvvPWeCDQBBQUH49ttvy+8GZWYiKsrzeTNaRJINAHFxcdizZw/S09NhMpnQsWPHGqezPHLkiMvY3J06dcLPP/8Mk8mE9PR0REZG1jhSCSFVJcSF4qbeHbHz6OVa20we0gUivjyD3n0mE/9dewSMA2xyADwHgXP/F8QAbDx9AZlFpYgKoJpaQohn/jayL9bsOw2rzVFtUhqe46CQijG6V3lybHcI+HD5ARy7lAe7HLBry+vhmJiruOdfcyknz3FYuuMwJdmkRu3lwUez2VxjibFUKoVGo4HJZPLquF6Pk91UYmJikJCQUOt88b1790ZkZPUaMoVCgYSEBEqwSb29/ug4DOwVD1R08PAVt105Dnhg6kBMH9sfIpEIRXozPl93FIxVJNgVn1WsHl9RGQMOpWY06XkQQtqmuNAAfPr3qVAryp8N4TnO+dxTkFaJL564DZHBARCJRNiw9zKOXcqDQwLYVRUPnHAcGI9aE2xU1HXvvZjebOdESEuUlJSETz/9FA6H64AIy5Ytg8lkQlycd19CW0xPNiHNTaWQ4sNnp+L05Rxs3HsOpUYLokL9MGFId4QFaYCKL28/79wCh8AgiMp7sD3loIlsCCFe6tclGn/8ey7+PHQORy9ngQPQPyEGo/p0gUQsAmMMefn52HggFQDgkMOZYNdXXVO3k3asnZSLPP/880hJSUHXrl0xevRoKJVKHDt2DBs3bsSCBQsgkUi8Oi4l2aRd4zgO3TtFoHunmgeaVygUyCgyl49EInb98OKE+r1GUox3g9gTQggAyKViTBrUHZMGda+2jeM4MJEcRXozGABB4tpzzQmo6M2u+dg8x6F3HF2jSM3aS7lIYmIiTpw4gXnz5mH79u0wGo1ISEjAhg0bcOutt3p9XI+S7KysrHpPLRkVFUUPHpI2QSTiwYGrNrU65wDgqCi6quEDjOOAAR1i0DEksPmCJYS0O6Kqd9iu68HmBIC5mZdGYAx/u7F3E0ZHSOsQGxuLb775plGP6VGSvX79esydO7debefMmYOFCxd6GxchLUZK11jsOHYZvJ3BIb32GAOH8inY7coqt8iqfL5F+Gnw79vHNH/AhJB2JchPhbiIAFzNKQJnY+V33SrvuDGAs1feibt2jap4HBLTBydhdM8uvj0B0rK10t7plsCjBx9nzpyJvLw85zJq1ChMmDAB27dvR3p6Og4fPownn3wS0dHReOutt5ouakKa0YTB3aBWSCExARCYyww2HCuf6pi3VdauMfjLZXjk5gFY8cjfEO6n8WnshJC2j+M43DO2H5jAIDFUr8fmharXqPKlV0wY3p8xHi9OvplmryW1Y14sxMmjnmyZTAaZrPwp5z179iArKwvHjh1zjgQSHR2NPn36oKioCD/88INzwhhCWjONUo4PHp+Cv7/+E2RFDJZA7rrabAaRlYO4jEGWx/DvJwZi2OA+9MFFCGk2k4f3xInzWVj/1yk4ZAwOZQ3XKcZBrGfoFRyMd6aNchkOl5CaNFdNtsViwY4dO1BSUoJ+/fohPj7e42NcunQJe/bsQUJCAlJSUrwLpJF5PYTfhQsX0L179xqH2ktKSsLFixcbGhshLUafhGiMSk6E2ALI8xlE5iqzOQiARM+gyGMQMSDQXw2bzebrkAkh7QjHcXhu1giIeA6yYgZpsQDOfm07bwVkhQLkBoaQQA0sFosvwyWtRTP0ZJ88eRJdunTBs88+iyVLlqBbt26YN2+eR8ewWCyYMmUKZs6c2eh11Q3hdZIdFhaGnTt3oqCgwGW9IAhYs2YNwsPDGyM+QlqMqaOTAAAiGyAvYlBmMyizBShzGaR6Bh5A325RCAv2g9nsfipkQghpbHKZFKMGJ4LnAEkZoMyruEZlCVAUMIjN5X0DY4Z0hdVqrfYwNyHXq+zJ9mTxhCAImD59Ovr27YsjR45g1apVWLNmDebPn4+NGzfW+zgvv/wywsLCvB7Puql4nWSPHDkS4eHh6NevH9566y18//33+PDDDzFo0CCcOHECs2fPbtxICfGx3l2jMKhPB+fPXOUFqOIZIxHPY+rIRMhkMuolIoT4xKzbBkImlYCv+uBjle0J8UHo2zUcYrGY7riRujVxT/bevXtx8uRJPPvss84Sy5EjR6Jv3771Hjxjx44d+PLLL/HVV195c4ZNyuskWywW46+//sKUKVPw6aefYsaMGZg/fz5iY2Oxb98+r+Z4J6Ql4zgObz09EbcO7VZtnocArRxP3zcAHaL8IBaLKckmhPhEfHQQPn3tTkSG+VXb1rdrOF6YOxRlZUbI5XK6TpG6NXGSvX//fnAch/79+7usT05Oxv79++vc32AwYNasWXjjjTfQoUOHOts3twZNRhMQEIAPP/wQH374IaxWK6RSaeNFRkgLJJdJ8OpjY/Hg3Tdi16HLMFtsiI8ORIhaAMAgFothtVphsVjAGKOHHwkhza5b5wgs+3A2Dp+6ivNXdJBIROiVEAbOYQSYHWYzQ0BAAMxmMzQaGgGJ1M7bBx+zs7Nd1mu1Wmi12mrts7OzodFoIJfLXdaHhoYiJyenztd7+umnERYWhscff7z+QTajBs/4aDQasXbtWly8eBEJCQkYOXIkCgoK0KULjbtJ2q7wYC1uH3NtAoeSkhLk5uY6a7FFIhHsdrvXU7ESQkhD8DyH/j3j0L/ntRrVK1euwGazged5CIJAPdmkbl5Oq3796B6vvfZajQ8zCoIAnq9eVMHzPOx2e7X1Va1fvx5LlizBkSNHajxGS9CgJHvNmjWYO3cu9Ho91Go1Jk6ciBEjRmDs2LE4duwYVCpV40VKSAvm5+eH/Px8OBwOWK1WKJVKWCwWSrIJIS1GeHg40tPTYbPZYDKZnA8/0h034pYXz8fu378fERERzp9r6sVGRUWEwWColmyXlJQgMND9bMnz58/H4MGDcejQIRw6dAio6Pi9cOECvvvuO0yaNKnW120uXqf+eXl5uOeee/DMM8+gqKjIOflMUFAQbr75Zvzwww+NGSchLV7lmLOCIEAQBBphhBDSoigUCmdZp8lkqldvIWnfvB1dJCIiAtHR0c6ltmS3Z8+esNvtOH/+vMv606dPo0ePHm5jGzVqFCIjI/H77787F5PJhPT0dPz+++8wGo2N90Z4yeue7C1btmDgwIF47rnnqm3r3r07jh071tDYCGlVNBoN8vLyYLfbYTKZqHeIENLiREREIC0tzfkz3XEjvjRy5EgEBgZi6dKlzs7ajIwMbN26FR9//LFL259++gmxsbEYOHAgANQ4s3h8fDxGjBiBL774opnOwD2vk2y73Q6FQlHjNpPJ5JwZkpD2JCwsDJmZmWCMwWQy+TocQghxIZPJIJfLYTabnWUjarXa12GRlsrLmuz6UiqV+OSTT3D//ffDbrcjPj4en3zyCQYMGFBtKOgHH3wQd9xxhzPJbg28Lhfp06cPNm3ahCNHjrisZ4xh9erVGDBgQGPER0irolKpIJFIIAgMp87nYvXvR7Br/0VYrHRLlhDSMlTWyhqMVmzcdhobNp/Ehcu5vg6LtEBNPRkNANxzzz3YuXMnbDYbDh06hCeffBKbNm2qdodl2rRpGDRokNtjTZ06tUXln173ZHft2hUTJkzAwIEDcffdd8NkMiErKwtTpkyB0WjE1KlTGzdSQlqJ1EwTPvpqMwqLr/Vka9Ry3H/3YNw+oS+VkRBCfIqBw7LVp7Bl9yU4HNeyoq5dIvCvJ25Fh9hgn8ZHWpAm7smulJycjOTkZLdtvvzyyzqP88EHH3gXQBNp0JgnS5cuxVNPPYUNGzZgxYoVOHToEBQKBTZu3Eg1XqRd2rX/Iua9tw5FJa6lInqDGR8v3Iwff617cH1CCGkqjDG89p812LTjokuCDQBnL+bg7//6ARnZRT6Lj7QwTTwZTVvXoCRbJpPhnXfegU6ng9FohNFoxLJlyxAWFtZ4ERLSSggCw8cLNwMAWC0Xmq+/34VSPdVqE0J84/Dxq9i1/2KN2xhjMJZZsHj5nmaPi7RMnBcLucbrJHv79u1YtGiR82elUukc4/D6bYS0ByfOZCI7t6TWBBsAbHYHNu8825xhEUKI04bNJ92WrDEG/LXjDExma7PGRVoo6sluEK+T7PPnz2PXrl21btu9e3dD4iKk1ckr0NevXb6hyWMhhJCa6PL1YO56AgDY7QJKSumOGylPmj166JGSbBcNnla9JufPn0dwMD04QdoXP23NQ1pWa+dXv3aEENLY/LUK8BwHwU2izXEcNGp5s8ZFWqhmevCxrfI4yV6xYgVeeOEFlJaWwmKxYOvWrS7by8rKkJOTgy1btjRmnIS0eH16xCDQX4XC4tpnmeJ5DjffmNiscRFCSKXRw7ph6+7ztW7nOGBgv3iolDTXBalAibPXPE6yO3XqhBkzZuDw4cPIyMjApEmTXLZrtVoMGTKkzqFYCGlrxGIR5s4cgnc++b3WNmOGJ0AmoSsWIcQ3BiV3QreECJw+n11tG8eVX8duHdYRDocDIpHIJzGSlsPTsa+9GSe7LfM4ye7bty/69u2Lo0ePIjMzE+PHj2+ayAhphcaP6gmr1Y7PF2+D2WxzrheJeIwe0gl/n30z8vPyoFQqIRY3SbUWIYTUSizi8e5rd+CND9Zh78HLLtsC/JV49N6B6NU9Dnl5eQgPD/dZnKSFoHKRBvH6U753797o3bt340ZDSBswdVwfjBneHVt3n0Nufin8NAoMvzERMgmQl5eHgIAA5ObmIjIykiamIYQ0O41ajv+8cjtSr+Zjz8HLsNrs6BgfgoH9OiI/TwfGGCwWCwwGA025TkgDNLgr7fTp0zh37hwsFovL+k6dOlHJCGm3lEopxo3qWW29yWSCyWSCIAjQ6/XQarU+iY8QQuJjgxF/3eyOoaGhSE9PR0BAAPLy8qBQKKhspB2jcpGGaVCSPWvWLCxevLjGbXPmzKEkm5DrBAUFITMzE0qlEvn5+VQ2QghpUUQiESIiIpCZmQmNRkNlI+0dlYs0iNfjZO/btw8///wzNm7cCLPZDMaYy7Jw4cLGjZSQNoDjOISHh6O0tBQajQa5ubl1jllLCCHNSSaTISgoCCaTCRaLBUZj7SMmkbbNkzGyPe31bg+8TrIvXbqEcePGYdSoUZDJaKgfQupLLBYjLCwMer0eDocDen39JrEhhJDmotVqIZFIIJPJoNPp4HA4fB0S8QWa8bFBvE6y4+LiUFxc3LjRENJOKJVK+Pv7g+d55Ofnw263+zokQghx4jgOYWFhMJvNkMvlyMvL83VIxBcoyW4Qr5PslJQU5OfnY+3atY0bESHtREBAAFBxa1an0/k6HEIIccHzPCIiIlBWVgaz2UxlI+0QlYs0jEdJ9i+//IIePXqgR48e6NOnD7KysjBx4kRERUU511cur732mkeBOBwOLFiwAIMGDUJSUhIefvhh5Obmeno++Oc//4nOnTvjvffe83hfQpoTx3GIiIiAxWKBzWajshFCSIsjk8kQEhICAFQ20l5RL7bXPBrWICYmBhMmTKhX26SkJI8CefLJJ/Hzzz9j4cKFCAsLw4svvoihQ4fiyJEjUCqV9TrGpk2bsGjRIuj1euTn53v0+oT4QuWT/NnZ2c7hsmi0EUJIS6LValFWVgar1Yr8/HyEhYX5OiTSTDjGwHnwcL4nbdsDjz7Nk5OTm2RYvitXruDzzz/H0qVLnTNI/vjjj4iOjsbChQvxxBNP1HmMkpISzJ49Gx999BEeeeSRRo+RkKaiUCjg7++P0tJS6HQ6REZG+jokQghxERoaiqtXr8JoNMJoNEKlUvk6JNIcaAi/BvG6JrsxbdiwAYwxTJw40bkuKCgIgwcPxrp16+p1jMceewy9e/fG9OnTmzBSQppGQEAAxGIxzGYzlY0QQlocnucRGRkJxhhyc3MhCIKvQyLNgGqyG8br+9JZWVk4ffp0jds4joOfnx969OgBuVxe57HOnz+PkJAQaDQal/WdOnXCxo0b69z/l19+wZo1a3Dq1CkPzgAoLS1FaWmp8+fs7GyP9ieksVTWZ6elpUGn00GpVNIsawSg6xRpQaRSKUJDQ6HT6aDT6WiSmvaAerIbxOske/369Zg7d67bNlqtFu+9916d7fR6fY23ntRqdZ29ejqdDg8//DDeffddREVF1TP6cgsWLMD8+fM92oeQpiISiRAZGYmMjAzk5OR4/O+ZtE10nSItiUajgdFohMFgQFlZWb2fmSKkPfK6XGTGjBkYNWoUpk6dip07dyI9PR1HjhzBM888g+joaBw4cADPP/88Hn/88Vp7vCvJ5XJYrdZq6y0WS5094Y8++ih69uxZZyJfk6effhrp6enOZf/+/R4fg5DGJJfLERgYCJPJRGUjBKDrFGmBQkNDIRKJkJ2dTWUjbRyVizSM1z3ZR44cQU5ODv744w/wfHmuHh0djd69e6OgoAA7duzASy+9hDNnzmDdunXo1q1brceKiYmBTqeD3W53GVkhMzMTMTExbuM4ePAgTCYTOnfu7Fyn1+vx5ZdfYuXKldi7dy+Cg4Nr3Fer1UKr1Xpx9oQ0nYCAAJSVlSE3N5fKRghdp0iLw/M8oqKikJaWhtzcXERERPg6JNJUqFykQbxOsi9cuIBu3bo5E+yqevbsiYsXLwIVI5JcvnzZ7bGGDRsGm82G3bt3Y+jQoQAAu92O3bt34/7773e777Zt22Cz2VzW9e3bF9OmTcOzzz7rnPCDkNaisj77ypUr2Lb5KHZtuYLDBy5DEBi694rB5DuSkTK4MziO83WohJB2SiqVIiwsDBkZWdi+KxV//HUGmVlFUCllGHVzN9w2uR/Cw/x8HSZpIE97p6kn25XXSXZYWBh27tyJ4uJi+Pv7O9cLgoB169Zh2LBhAIC0tDQkJCS4PdagQYMwePBgvPjii9iwYQPUajXeeOMNGI1GPProoy5tO3fujAceeAD/+te/gIrp3a/H8zz8/f1dercJaU1EIhEO78vFwk83g+OAyqFHD+2/jIN7L+GOewZh7mMjKdEmhPiMWCzDgk934eLlfOd1ymKx46dfDmDt78fw/tvT0DWRhiRt1agnu0G8TrJHjBiB4OBg9O/fH7Nnz0ZcXBzy8/OxfPlynDlzBosWLUJhYSH++OMPbN26tc7jrVy5Evfeey8iIiKgVCqhUqmwatWqakn0pUuXaKIZ0uadP5uNhZ9uBnAtwQYAJpT/sPKHPejeKxo3DrvBVyESQtq5zxduxcXL5Z/H189BYjLZ8NL8X7B88SOQSKjkrTWj3mnveZ1kSyQSbN68GfPmzcPHH3+M3Nxc+Pv74+abb8aiRYsQGxsLi8WCffv2Qa1W13m8iIgIbNy4EUVFRTCZTIiIiKixl+7ChQt1loAcOXKEahhJq7Z65QGXHuzrcTyH337aT0k2IcQn9Hozft94otbtjDEUFhqxfdc5jBxe+zNZpIVjrPYPotraE6cGzd8cFBSETz75BJ988gksFgtkMpnLdplMVm1dXQICAtwm0fUpAenQoYNHr0lIS3PscKrbaxUTGE4cuwrGGJWMEEKa3YVLubDZHG7bcBxw4lQmJdmtGNVkN0yDkuyqPE2mCSG1q0/izIGSa0KIb9T3uz31AbRyVJPdIB6Nk718+XLEx8fjX//6l/O/a1sqH0wkhHguqW+82w8njgM6JwYjLS0NpaWlNFYtIaRZdekcDqnUfT8dY0BosBhZWVk1zoVBWj5O8Hwh13jUk52YmIgHHngAffr0QVRUFB544IFa2/bp06cx4iOkXZp8R3/8ue5ordsZA0aP7w6bzYbc3Fzk5ORAoVAgKCiIZmAjhDQ5tUqGcbf0xG9rj9S4neMAfz8F+iRFoaysDKmpqRCJRNBoNAgMDHSZE4O0YNST3SAe/Svv3bs3evfu7fIzIaTxdU6MwOPPjsMn760HwIFVFGhzXPl/3/m3gejZJwoqlQo2mw0WiwV2ux0ZGRngeR4qlQpBQUGQSqW+PhVCSBv10APDcelKHk6cynBemyqpVDK8+OwYyKQSaLValJSUgOd56PV6FBcXQyKRwM/PD/7+/jXOt0FaBqrJbpgGf5U0Go1Yu3YtLl68iISEBIwcORIFBQXo0qVL40RISDs14bZ+6JwYjt9W7Mfh/VcgCAJ6JMVi8h3J6JPcAQ6HA9nZ2eB5HuHh4SguLgZjDEqlEmazmXqOCCFNSiGX4v23p+HPv05h7YZj5ZPRqMono5k8oQ9CgjUwGo3Izc1FUFAQAKCwsBAymQw8z6OwsBD5+fmQyWQIDAyERqPx9SkR0qga9Km7Zs0azJ07F3q9Hmq1GhMnTsSIESMwduxYHDt2DCqVqvEiJaQduqF7FP7VfWqN20QiEaKiolBYWAidTuec2riwsBCMMYSEhMBut7v0HPn7+8PPz6/WnqPi4jKs+/0Ytu86jzKTFR3igzFpXG/06xNPo5gQQqqRSsWYMDYJE8Ym1bhdpVIhJiYG2dnZkMlkiI2NhdFoRGFhIZRKJdRqNfR6PXJyclzK3hQKRa2vefp0Jlb/dhjnzmVDIhFhwMDOmDipD0JDaejeRkdD+DWI10l2Xl4e7rnnHrz66qt48sknsWTJEuzduxdBQUG4+eab8cMPP2Du3LmNGy0hxAXHcc4PpMzMTAQFBSEiIgIWiwWFhYUwm80IDAyEUqlEYWEhCgoKkJeXV2PP0fkLOXjmxeXQ683OMbozMouwfed5jL2lJ557aix4nhJtQohnJBIJYmJikJeXh4yMDERERCAuLg56vR6FhYXO7Xa7HYWFhUhPTwfP81Cr1QgMDHQpe1v0zTZ8t3S3yzwCly7psHLFfrzx1h3o35+G8G1MVC7SMF4n2Vu2bMHAgQPx3HPPVdvWvXt3HDt2rKGxEULqSalUIiYmBjk5OTCZTAgNDUVERASsVisKCwtRVFSEgIAAhIaGwmq1oqCgwKXnSKXW4p+vrIDRYAGqdEZU1lhu+PME4uOCMe32FF+eJiGkleI4DqGhodDr9cjIyEBoaCi0Wi00Gg0MBgNycnIgkUgQEhICmUyG0tJSFBcXO8vetFotTp7Q4bulu4EaOkxtNgdefXklln7/CIKC6p4Aj3iAEmevef20gd1ur/V2jslkonGzCWlmEokE0dHREIlESE9Ph9VqhVQqRXh4OKKiomA2m5GWlgaz2YyIiAh06dIF4eHhEAQBv67ai6LiMgi13OrjOGDFLwdgd9D4TIQQ72k0GkRHRzvvqlWui4uLg1arhU6nQ1ZWFmQyGeLj49G5c2dotVro9XosXbqj1qFNGWOwWOxYt7b2UZmI5yp7sj1ZyDVeJ9l9+vTBpk2bcOSI6/A9jDGsXr0aAwYMaIz4CCEe4DgOISEhCAoKQkZGBvR6PQBUS7ZTU1NRVFQElUqF2NhYpGeZ3NZcMwbkFxiQkVHYjGdDCGmLpFIpYmJi4HA4kJGRAZvNBo7joNFoEBsbC39/f+h0OmRkZMBisSAkJARhYVFISy2qs+T34MErzXUa7UNlTbYnC3Hyulyka9eumDBhAgYOHIi7774bJpMJWVlZmDJlCoxGI6ZOrflhLUJI01Or1ZBKpcjOzobJZEJISAg4jnMm2zabDYWFhUhNTUVAQAAEB3OpcayNg3qyCSGNoHJUpJKSEqSnpyM8PBxKpRIcx0GtVkOlUsFoNEKn04Hnecik9RtIwWF3P9U78QzVZDdMgwanXLp0KZ566ils2LABK1aswKFDh6BQKLBx40ZIJJLGi5IQ4rHK3iLGGNLT02Gz2ZzbJBIJwsLCEBMTA6vVitBgKQTB/dVRqZAiKjKgGSInhLQXfn5+iIqKgk6nQ0FBgcucAGq1GrGxsQgMDITJrEdIiLrOadq7do1snsDbC+bFQpwalGTLZDK888470Ol0MBqNMBqNWLZsGcLCwhovQkKI13ieR1hYGPz9/ZGeng6j0eiyvTLZvuuOGyGRiNx+gI26ORFyOX15JoQ0LplMhpiYGFgsFmRmZsLhuNYbzXGcs6xt0uQ+dd5tGzu+V9MH3I5QTXbDeJ1kb9y4Ea+++iq2b98Om80GpVJJszYR0kJptVpERUUhLy8P+fn5LjOzAUBIsB9eem4COI5zSbQr/zs+NgCjbo5HVlYWBIFKRgghjUskEiEiIgIqlQpXr16FyWRy2c5xHO6aNggDB3aq+LnqtvL/v3NaEhyOUhgMhmaNvU0TmOcLcfI6K5ZIJFi5ciWGDRuGwMBAjB8/Hh9++CFOnjzZuBESQhpF5UQQNpsNmZmZsNvtLtuHD70Bny6YgaE3JjrHww7wV+D2yT3x+svjIZeJYTAYkJqaWm1fQghpKI7jEBAQgPDwcOTk5KCoqMilQ0AsFuH1N+/AE0/egpiYIOf67t0j8NQ/hmLMmK7gOA5ZWVnQ6XQ+Oos2hspFGsTrBx+HDx+O06dPIzMzExs3bsTGjRvx9ttv4x//+AciIiLw0ksv4e9//3vjRksIaZCaHjaqOhRntxsiMf/lKXA4BJw/fwFhYSGwWCzQ6/WQy+Uwm83gOA5XrlxBZGSky6yuqan5SEvNg1QmRlJSLJRKGsaTEOI5hUKB2NhY54PbYWFhEIlEAACRiMfkKf0weUo/lJbqkZWVhdjY8hklHQ4HeJ4HYwzFxcUwmUyIiYlx3mW32ew4figNhlITwiL8kdgjimayrQPn4cOM3r6bBQUF2LBhA0pKStC/f/96j1DHGMPevXtx4sQJ+Pn5YfDgwYiJifEyisbXoGnVASAqKgqzZs3CuHHjsGnTJixYsACHDh3C0aM0ViUhLRHHcfD394dMJkNOTg78/f3h7+/v8mEjEvGQy6UQBAERERFgjEEQBHAcB5vNBpVKhczMTAQEBKCsjMOC9zfg5IkM5/5yuQRTb+uP+2cPhUhEZWSEEM+IRCJERUU5Z4CMiIioNv+GSqUEz3NQKpWIi4tDWloaxGIxLBYLeJ6Hw+HA5cuXERUVhU1rTmDpF1tQUlTm3D+mQzAee2ECeifTLJG+tHv3bkyYMAH9+/dHhw4d8PLLL2PatGn44osv3O536NAhzJgxAyUlJZg4cSKys7Mxa9YszJ8/H88//3yzxe+O10m22WzGjh07nL3Yx48fR/fu3TF69Gi8+eabGDp0aONGSghpVJW9RZWzRFbtLcrOKMQfv56AxeRAxy5RuGnkDSgqyUd8fDyys7NhNBohl8tx/nwG/u/fm2Ey2VyObTbb8OMPe5Cfr8c//zWBeosIIR7jOA5BQUGQy+XIzMxEUFAQ/Pz8gIrhRA/tu4ztW48jMDADvfrEIa6jHxgTEBwcjMzMTAiCAJlMhkWf/o5VP1Tv+MtILcCLjyzBvz+/lxLt2rAaptesq70H7HY7Zs6ciQkTJmDJkiUAgLlz5yIlJQVjxoxxOxz0iRMn0LNnT3z77bdQKpUAgM8//xyPPvoobrnlFvTu3duzYJqA10n2d999h7lz52Lo0KF45plnMGrUKISHhzdudISQJiUSiRAZGYnCwkJcvXoVISFh+N97f+LP/2/vzsOirP7/8T/v2YBhYNj3VTNBxQUXRA0FBDVSE8nc9WdpvfVti5m2vMts81NpZWWW21etzCVTLPfMCM3cNRVXdhBlEIdtBmaGOb8/hDtHthmYAYTX47rmupwz5z687vvGM4dzn2XX2fvq1XP4dtl+jH8mHMPG2PEN8+LiYuxKvAS1WlNnHXzwwEU8+WRvBNGyWoSQRrK1tYWvry8/fKSsBHj39Z+Ql3uXz7N5w1H4+Dlh5tyB6N2vCx555BGkpaWhsKAEv245X2u5957QASs/3oNvts6mzoDamLpiiImN7OTkZKSlpWHz5s18Wp8+fdC/f39s2LCh3kb24MGDMWXKFL5zCADi4+Mxe/ZsHD9+vFU0shv9HDcoKAh9+/bFkSNH8O677+K9995DYmIiiouLzRshIcSiqnuL3N3dsfTtn7A/8WyNRrNWo8N3K5OxP/EMtFotPDw8IBJZ48zpnHo7OTgO2LOn9i84Qggxllgshq+vL4qUasyfvRG38pQ18uRm38VnHx5C6o0sCAQCBAQE4NSRdFRW1l1JMcaQcSMfN67kWfgMHlIWnvh4+vRpCAQC9OjRwyA9NDQUp0+frvfYwMBAgwY2AKSkpAAA/P39TQvEQhrdyB40aBBOnDiBgoICfPjhh9DpdHj55Zfh7OyMQYMGYdu2beaNlBBiUXcL1Dh2OLXOzzkO+HXLeeTfzoder4deL2pwAxuAQ/7tIrPHSghpfziOQ/KhVJSVVoDVUvcwxqC8q8KhfSlQqVTgOA7qMuOWHM3Po3qqNhxjJr8AIC8vDzk5Ofyrrg7Y/Px82NnZQSKRGKQ7OztDoVCYFGtFRQXmz58Pf39/DBkypAlnbT5Nnvjo6OiIhIQEhIaGonfv3vj2229x9OhRBAUF4amnnjJPlIQQi0vaX//ym4wBdwvKcP5UGsq6lKGkpKLhQjnA3t6m4XyEEGKEQw3UUwBw7M9UxD4RBADghMZts25H9VTt9FUvU/ID6Nevn0HyokWL8M4779R6SG3DdDiOq7GfQ30YY5gxYwZSUlLw+++/w9ra2oSgLafRjezi4mIcOHAABw8exG+//Ya0tDQ4ODggMjISzz77LOLi4swbKSHEokqK1EbkAoQCa1hZWaFTp07oFXoB585m1VkZMj1DVHRXM0dKCGmvSosbrqfUKh2kUins7OwQP8EZv26uZ8gaBzi72qFrz9az7Ftrcn/vtLH5AeDEiRPw9PTk0+3t7WvN7+zsjJKSEuh0OohE/zZJCwsL4ezsXOsxtZk7dy62bduGnTt3Ijw83OjjLK3Rw0W2bt2KiRMn4vLly5g+fTqOHTuGgoIC/Pzzz/jPf/4DPz8/80ZKCLEoNy+5Ufk6PuoDkUiEkpISTJv+GDiu9p4IAAgK8kTffh3MHCkhpL1y85CjvvmJHAd4eDnA3d0dd+7cgaePI4aN7lX3AQyYNjsaQpGw7jztWSPHZHt6esLHx4d/1dXI7tmzJyorK/mx1NUuXLhQY5x2Xd544w18++232Lx5Mx5//PGmn7MZNbqRPXr0aBQWFuLPP//EW2+9hf79+9cYgE4IeXhEjegOkbju/8McB3j7O0BoVQ65XI47d+6ga1dvLH5vLGxta248E9zFDTOf6wvGaBt2Qoh5jBjVq97J1owBvfvfW19bJpOhsLAQc998AsPHhNZonIvEAiRM74NufdwsHvfDi927qMa+TJz5OGTIEHh6emL16tV82tWrV5GcnIxJkyYZ5P3qq69w4MABg7T/+7//w0cffYSNGzciPj6+iedqfo0eLuLq6mreSAghLUruaItps6OwdvnBGp9xHMAJOEyfGwmdToebN29CKBSioKAAAwZ0wrbtc/Fn0hWkpytQWlqM7j08ERjoAp1Oh8zMTAQGBvK7rhFCSGPFPdkbB/f8g/TU2rdN79DJDRHRnVFUdG8iI8dxsLOzw8tvj8aEZyLw58FLuFNQBCsbhkHRwYCgEmVlZcjPz4ebGzW2H8SZuISfScv9AbCyssKaNWswduxYFBcXIyAgAGvXrsXIkSMxceJEg7z/+9//kJCQgNjYWADAzp078frrryM8PBy5ublYunQpn3fAgAEYMGCAacFYQJMnPhJC2o5x0wdBamuF7745DGVhGZ/u39ENT83oi269/GBvb4/bt2+jrKyM37rY09MTQ2O6AVWzyktKSvhj9Xo9srKy4OfnRw1tQkiT2Egl+GTFVHy1bC/+PJTCr3AkFAoQERWEUeO6wt/fF1qtFrdu3UJlZSUyMzPh4OAAN08XjJs+CABw7do1AJWQSqVQqVRQKpWQSCRwcHBo4TNsZfgeahPym+jxxx/HxYsXsX37dhQXF2PFihUYNWpUjWGIc+fORffu3fn3jo6OeOWVVwAAt27dMshbWlpqchyWwDFTpm+2cTk5OfD19UV2djZ8fHxaOhxCWoxOW4kLZzJRUqyGh5cDOnXxgl6vR3Z2NlxcXCCTyaBSqXDz5k3o9feGg1hbW8PDwwM6nQ45OTkQCAQQCATQ6XTgOA5isQQidm9XLk9fp2YfA9lW/n+3lfMgpKnuKEpw+VIuOA7oEuIDRycZSktLUVBQAF9fX3Ach8LCQhQWFgJVvdoODg5wdnZGdnY2KirurZAkEAj4esxe5oSKskrYOUjh5GrX7OfUWv5/V8cxsN+rsLYybr4OAJRXFOHoiU9aPP7WgnqyCSE1iMRC9AoznLBYvTtkTk4ORCIRpFIpOnTogPT0dOj1euh0OmRkZPDrnVb3EFXq9Djw03kc2XMFpUXlAAAnNzuMnjwQY/+/QTThiBDSKM6udhg0JMggTSaTQaPRIC8vD97e3nBxcYFYLIZCoQDHcSgqKoJSqYSV1b15JM7Ozrhz5w5uZSmx98ezOP93Jr8Gd4/+HTH5v0PRrXdAi5xfa8Dp771MyU/+Rc9uCSFGk0gk8PDwQF5eHrRaLQQCAdzd3WFlZQVra2uIxWI+b2lpKdxc3bH6g9+w78dzfAMbAAoVJfh/n+7DR69u4XuQCCHEHBwdHSESiZCfnw/GGORyOaytrWFvbw+hUAhra2uUl9+rj9RqNUoLK/Hpgl9x/liGwSY3/5xIw2vTVuNE0pUWPJsWZsqkR1OHlrQD1MgmhJhEKpXC2dmZHypia2sLjuNgb2/PTxyqXmlox/dJuHwmt2YhVfVw8r4LOHrwUrPGTwhp2ziOg7u7OzQaDZTKe9uvu7q6orS0FL6+vrCxseHXZFapVPjm/d3QlOtqtA+ZnkGvZ/j09Z+g1eha4lRanoW3VW/rqJFNCDGZvb09bG1tkZeXB1R9gSkUCkilUvj7+/O7bf21/1r9a9oKOOz+8e/mCpsQ0k5wHAcvLy8UFRWhtLQUVlZWkEqlKC4uhouLCz9eODu1ANmpd+reUIsxFN0tw9+/X27mM2gdGrutOrmHGtmEkEZxdnYGx3EoKCiAtbU1bGxsoFQqwXEcv9PXzYzC+te01TNkXL/dfEETQtqN6nkk+fn5qKiogIuLC5RKJXQ6HSQSCezs7HA7u8iosrJS22k9RcNFmqTVNLI1Gg3efvttBAcHw9/fH+PHj0dmZmaDx6Wnp8PFxQUuLi5wdXVF165d8cwzzyA9Pb1Z4iakveI4Dh4eHlCr1SgqKoKLiwvu3r2LyspKCASCeyuKWDU8qdHaRtIs8RJC2p/qeSQ3b94EYwwODg64c+cOAMDOzg4SK+PWf5BYiY3I1QYxAHoTXtTGNtBqGtmzZs3Cxo0bsWbNGhw6dAgVFRWIiIhAcXFxvcf5+/vjypUruHLlClJSUrB+/Xqkp6dj0KBBUCgUzRY/Ie2RQCCAl5cXCgsLodFo+J0gUfXl1mtAYL3DRQCgWz8fmvxICLEYqVQKJycn5ObmQi6XQ6VSoaKiAlKpFJ26e0IsabgzIKi3V7PE2trQcJGmaRWN7GvXrmHDhg1YtmwZBg4ciEceeQTr169HQUEBVq1aVe+xAoHAoCe7b9++WL9+PW7evIndu3c32zkQ0l6JRCJ4eXnh1q1bsLW1RVlZGTQaDWxtbTF4VBcIhIIamwqgahdJsUSIQY8HIycnBwBQmF+MPZv+wk+rDuPvgxeh01a2wBkRQtoauVwOqVSK27dvw8XFhV/ST2Zvg8Eju9Z7bPf+/rCyZSgpKQFjDBf/voGfvzmExDWHkXXtVr3HPvSYqUNGWjrg1qVVrJO9f/9+cByH4cOH82lyuRwDBw7Evn37MH/+fJPKs7O7t4C8Wq02e6yEkJqsrKzg5uaGW7duwdHREQqFAi4uLvDwdcCsN2Ow7qPfUVGuBSfgAHZvMpHEWoxZ/4uBk5stSkvK8NG8Dfhz1wXoK//t1XZ0tcOLS8YhLLr+L0FCCGmIi4sL8vLyUF5eDsYYysrKIJFIMHp6P5SX6XBkX8q9J2/cv/VUpxAPTJk3GABw+sgFbFryG7IfmEfSe0gw5n85DQ4uzb95jcU1w46PbVmraGRfv34d7u7usLW1NUgPDAzE/v37TSqrrKwMb7zxBjw9PfHUU0/Vm7e4uNhgOEr1SgmEENPJZDJotVoUFxeDMYbKynu90CFh/li19yX8vOEwbmWWory8HP0iuqBf1CNQld/bfn3Tp3/g9O/Xa5SpLCjFu7PW4YPvnkfPAZ2a/ZxaA6qnCDGP6nkk2dnZkMlkKCgogL29PSoqKjB13hBEP9kDh3adg7pYByupEHHjBsDBUwidToe7t0vwxYs/obxMU6PcM0mX8cbTX+Lz3a9CYt3Gxm5Xj7U2JT/htYpGdllZGaRSaY10W1tbo/eff+2117B69WoolUq4u7sjMTERLi4u9R7z6aefYvHixY2OmxBiyMHBARqNBlqtFn//fg5J288i/WIeRGIhgvr5YdaCUWBiDZycnGBjY4OcnEqkpuTW2sBG1fJZ4Dis/2QPPt/xYrOfT2tA9RQh5iMQCODt7Y3s7GwwPfD7jjM4vOMMigpVcHCxxZBRPfH4hEHIV9xGQEAAdDod0tLSkLTtPNQlFbWWyRiQnpKLpMRTiHk6vNnPyZJMHWdNY7INtYox2ffvvnS/8vJy2NjYGFXGW2+9hStXruDMmTMYMWIEoqOjcerUqXqPmTdvHrKzs/nXiRMnGn0OhJB7PUVubm74ZfURfDLzB5zcnwJFzl3kpRfg8JYzeC7iPVw4mgaN5l5vkKenJ04crH83NaZnuHouE7np7XMiM9VThJiXSCSC1MoOH8zchLXv70F6yi3cyStG2sVbWPvBXsx/agWKCsvAGINIJIKbmxuO/vJPvWVyAg6/bT3ebOdAHg6topEdEBCA/Px8/ou3Wk5ODvz9/Y0qw9bWFq6urujRowfWrFkDd3d3fPbZZ/UeY29vDx8fH/5VvbYvIaTx/t7/D3atSgZqGZ5XqdNjxfxtuJmRD1StY6stZ/fGajfgbkGJZQJu5aieIsT8vnzjZ+Rl3FsJqbqeqt6QJv3KTWxa9jt0unu7PNpYSaEp19ZbHtMzFObXvxraQ4nWyW6SVtHIjoyMhE6nQ3JyMp+m0Whw9OhRREZGmlwex3GQSCQ1Gu2EEMv7+dvf62w0M8ag01Zi73dHkZGRgevXr0NiIwDTN1wxO7vLLRAtIaS9yU69jdNJV+puDzLgn7/Sce5kCtLS0pCRlQ5raf3r+XMCDs4ebbGOMrWBTY3s+7WKRnafPn0wdOhQLFiwAPn5+dDpdFi4cCF0Oh1mz55tkNfFxQWLFi3i32/cuBHr1q3D3bt3gapJQosWLUJKSgqmTJnS7OdCSHum1ehw8e8bDTaaL5/IgLW1NTw9PTF2xtB683ICDl37BMLTz9nM0RJC2qNzR2ufA/KgK6ezYG9vj4CAAAybMKDevEzPENvGxmMD1JPdVK2ikQ0AmzdvRocOHeDn5wc7Ozv8/vvv2LdvX41Ho3fu3EFZWRn/ftiwYTh//jyCgoJgZ2cHT09P/P777/jll18watSoFjgTQtovY3qkAaCyUg93d3fIZDIEBnlh2LiwWvNxHAeBgMP0BXFmjpQQ0l7dv0xofUQiMVxcXGBlZYWxs4dC7iyr8yndoz398dioUDNH2gqYstujqSuRtAOtYnURAHB2dsa2bdug1Wqh1WprXW0EABQKhcFn7u7uWL58OZYvX46ysrIaywASQpqPxFoM/yBPZF27VWeDm+OADt28odfrIRTe22lt7gcJkMltkLg+2WADGkd3GV75eCK69e3QbOdACGnbHu3pZ1Q+/0fd+H+7ejliaeI8LJ27AVfPZv6biQNCIzvj9a+fhVjSappUZkOrizRNq/uNEIvFEIvrXmeyvmX5qIFNSMsbNWMIvlzwY52fMwZEjesNjUbDrx4kFAnx7BujMGxiH/y59wz0WoZuvTvDzl0ImYz+XxNCzCeopz86dvVG2uWbtXYGcBwQEOQBr45OBuk+Hd3x+Z4F+GPvMaRfugknJ0f0ighCub4UVtI2tj52NdqMpklazXARQkjbMGziAAwe3RuoGk9drfrfCS9GwsXXHiUlNVcLEYgZHovrjrDhnRHQxRWenh4oLi6GXk/PIAkh5sFxHBYunwx7h9qfmNs52mLiq0Og0Wj4TbXu59XRGSMmD0SXx3zhHegOKysr3LrVRrdX1zPTX4RHjWxCiFkJhQIs+Ho6Xvp0EgKDvQEAAgGHzr19MefTeEx/dQykUimUSiXy8/MNjq2oqICtrS3c3d2hUCggkUggFotx+/btOn4aIYSYzrejO7789RWMeWYwZPJ7T9Rs7a0R/VRPLPp/UxAe0RscxyE1NdVgH4/qVcvc3d0hFouRm5sLDw8PqNXqtrmiGTN18mNLB9y6tLrhIoSQh59AIMCwCQMwbMIAVFbqwXFARkYGBAIBVCoVHBwcwBhDUVER1Go1fH19IRAIoNPpYGdnB4lEguLiYuTk5MDV1RU3b96Eq6srRCKqsggh5uHq6YBZ/xuNWf8bDZ22EpV6HTIzMyEUCiEQCCCVSsEYQ1ZWFlxdXeHo6IiSkhIIhUJwHAcfHx+kpaVBpVLB2toat27dgp+fceO9Hx6mrhhCrez7UU82IcSihEIBBAIB7OzsoNPpUFZWBolEAsYYAgMDodfrkZaWxg8fkUjurUfr5eUFnU4HlUoFsVhco9ebEELMRSQWwsrKim9gl5eXQyKRwM7ODh4eHlAoFMjNzYVKpYKVldW9Y0Qi/qmbs7MzysvL215vNi3h1yTUyCaENAtnZ2fo9XqUlZXd2+lRq4VIJIK/vz+kUiny8vIgEPxbJQmFQnh5eUGpVMLR0RGlpaX8DmyEEGIJMpkMlZWVKCsrg1gshlar5dfKVqvVUKvVsLa25vPL5XLY2NggPz8fNjY2yMvLa9H4zY7GZDcJNbIJIc1CIBDwvdQajQYcx6GyshICgQBeXl4QiUTQ6/XIy8vjJzra2trCzs4OBQUFNDabEGJx1Z0BpaWlfCMbVU/YAgICAACFhYUG+3VUP3UTi8WoqKgwGMNN2jdqZBNCmo1cLud7syUSCf8FBgB6vR6Ojo4oKytDZmYm32vt7u4OVPVsl5WVUW82IcRiRCIRRCIRdDodOI4zGP6h1WrBcRycnJyQm5sLhUIB3PfUrbi4GFZWVm2rM4DpTX8RHjWyCSHNRi6XgzFWo5dIr9fzjewOHTpAIBAgPT0dKpUKAoEAPj4+KC8vh0gkartLZRFCWoXqekqj0UCn04FVjTMuKSmBSCSCi4sLvL29oVQqkZWVBb1ezz9102g0qKiogFqtbunTMA8ak90k1MgmhDQbgUAAKysraLVaflw2AKjVanAcB5FIBIFAAH9/f8jlcuTk5ODOnTuwtraGo6MjPxHy/h5wQggxJ0dHR74zQCAQ8MPX7h+PbWtri8DAQOh0OqSlpaGiogLu7u4QCAQQCoVtpzebxmQ3CTWyCSHNysnJCYwx6PV6/lFsdc/2/dzc3ODl5YXCwkJkZ2fD2dkZYrEYHMdRbzYhxGIEAgHEYjHUajVEIhFfT2m1WoOdpUUiEQICAiCVSpGZmYmSkhJ4e3ujsrISGo0GKpWqBc/CTKgnu0lo0VlCSLOys7NDXl4eVCoVhEIh8EAP0f1kMhkCAgKQlZWF9PR0eHp6Ijs7Gyf2/4OVe7Yi/UIOJDZihD/eE6NmRsOro3sLnBEhpK1xdHREfn4+BAIBtFotrKysoNfrIZPJDPJVT9xWKpW4ffs27Ozs4OjoiJz0m1i/YTvO/3YVRXdK4e7njGFTHsPQCQMhsX7ItmCnhnOjUSObENLsbGxsoFar+Ua2VquFi4tLrXnFYjECAwNx8+ZNZGVlY/vHvyF5+2lwAg6s6tHkzpW/Yfe6P7Bo01z0GRrSrOdCCGl77O3tkZ+fD61WC61Wi7KyMggEAoNlRu/n4OAAa2vre0Pccovw6TMbUKQoBbh7+7MU3SnB1dPp2LcxGUt2vgJbee1burc6pvZOU4PcAA0XIYQ0u/sb1FqtFowxSKV1f+lUT348t+8akrefBgC+gV1Np63Ee5NXQKkotmDkhJD2oHr+SPVExtqGtD3I2toagYGB+HbeVhQXVC3xV1VNVddX186kY8WrP1g8frPR601/ER71ZBNCmp0isxCbFu/C6b0XUaHSwMnLAU/OHo7Rs2NhI6s5bAQAGGM4sOEoOI7jZ/sbfK5nqFBrsG9jMsa/EtcMZ0EIaasYY7j8Ryp+/mofMi/kghNw6DqwE8bPfxJ9h/Wo87iLR6/h5g1FvWX/8dNxPPPuU3D2cLBA5GZGPdlNQj3ZhJBmdT4pBXPC3sRfP59BherehKLCPCXW/W8zXh7yDkqVZbUedydPiZtp+bU2sKtxHId/kq9YLHZCSNvHGMPyOWvx6cw1yLyQC6Zn0Ov0uJh8DW+O/AibP95V57H/HLnaYPn6Sj0uH79h5qgthCY+Ngk1sgkhzaZCrcF7T38OTYWWf4wK/PtINe1CFr5dYPgoVaPRoLCw0OjtiutrhBNCSEP+2HIMe9b8DjwwLK363+v+txmXj1/n06s32MrPz4dSqTTqZzw01RQt4dckNFyEENJs/vzpbxQXltadgQGHNiVjxH8jYGUrRmVlJVC1o5q9iy2cPOUovFVk2EC//3DG0KX/IxaKnhDSHiR+vd9gYvWDOI7Dlk93YfpHY/k5JdXr/HcKDQDwZ73lcwIOnXsHWih682JMD2bCLo6m5G0PqJFNCGk2l0/cqHNMdTWdphK5V2+jz9DusLW1hUQi4T8b859YrH17W63HcRwHgUiAEdMGWyR2QkjbxxjDlZOpdTawq/NcO5kGGxsbODs7w9bWll91xN/fH1v+by9uZxZAX0sZHMdhQFwvuPk6W/Q8SOtAw0UIIc1GIOCMyufu7gZHR0eDBjYAxM+JxYAnegFVvUHVOI4DJ+CwcNVMuHg5mjlqQkh7wnEN11MSawnc3d1hZ2dnsKyfQCDAW9//t8YSfdVFendyx9zPppo/aEthJg4ZodEiBqiRTQhpNj0juzU4ZtpGZo1OobU/ShWKhHhz4xzMW/H/4ZEe/hBLRJDaWSNyXH8s//0tRMT3s1DkhJD2gOM49IrqavBHfM1MQGh03evxd+jmi6+PLMbY/w6Do5s9hGIh3P1dMf3tsVj+2//g4GpvmeAtgSY+NgkNFyGENJvwJ0Lh7u+C/Ow7dT6OjZsVXecyfgAgFAoQO/kxxE5+zIKREkLaq/gXRuDUgX9q/YzjAE4gwOj/xNZbhquPE2Z+8DRmfvC0haJsJno9ABPGWdM62QaoJ5sQ0myEIiHe27kAcmc74L5HqNW9Rn2H98D0xeNaMkRCSDvXJ7YHZrw/HnhgWBqqGtivrn0e/l18Wi7A5kQ92U1CPdmEkGYV0NUHq89/jD1rD+OPrcdQVqSCdycPPD4jCoPi+0EopL/9CSEta/yCUegxOBi7Vh7Epb+uQiASIDQ6BKP/E9t+GtgAmF4PZkJPNqOebAPUyCaENDu5iz0mLByNCQtHt3QohBBSq+CwTggO69TSYbQs2vGxSaiRTQghhBBCamImbjBDjWwD1MgmhBBCCCE1MWbaxMdGNrKvX7+O7du3o6ioCH369EF8fLxRSyk29VhLo8GPhBBCCCGkBqZnJr9M9euvv6J79+64du0apFIpXn75ZYwePZrf8ddSxzYH6skmhBBCCCE1MROX8DNxW/WKigrMnDkTs2bNwvLlywEA48ePR3BwMH744QdMnVr3xj1NOba5UE82IYQQQgipwdI92YcPH8atW7fw7LPP8mmdOnVCREQEfvzxR4sd21yokU0IIYQQQprduXPnIBQKERwcbJAeEhKC8+fPW+zY5kLDRe6j0+kAAHl5eS0dCiHEzKr/X1f/P39YUT1FSNvV2uqpCqYyaQhIBcqBWuone3t72NvX3E6+sLAQdnZ2EIkMm6OOjo4oKCio92c15djmQo3s+ygUCgBAv379WjoUQoiFKBQKBAQEtHQYjUb1FCFtX0vXUzKZDE5OTjhZ+LvJx9rY2NSonxYtWoR33nmn1vyslhVJGGMQCBoebNGUY5sDNbLvExISghMnTsDV1bXGX0bmkJeXh379+uHEiRPw9PQ0e/ltGV27xqHr9i+dTgeFQoGQkJCWDqVJqJ5qnei6NR5du3+1lnrKwcEBqampKC0tNflYvV5fo5FbWy82ALi5uaG4uBgajQYSiYRPLygogJubW70/pynHNhdqZN/H2toaffv2tfjP8fT0hI9P+9mW1Zzo2jUOXbd7HuYe7GpUT7VudN0aj67dPa2lnnJwcICDg4NFf0afPn3AGMO5c+cMer/PnDmD3r17W+zY5tI6+tMJIYQQQki78thjj6Fjx4744osv+LQTJ07g+PHjmD59ukHe119/HVu2bGnUsS2FerIJIYQQQkizEwqF+P777xEXF4fo6GgEBARg+/bt+M9//oPRo0cb5F25ciUSEhLw9NNPm3xsS6FGdjOyt7fHokWL6hybROpG165x6LoRU9HvTOPQdWs8unbtW//+/XHjxg3s3bsXxcXFmD17dq3DPZYsWYJOnTo16tiWwrHapmYSQgghhBBCGo3GZBNCCCGEEGJm1MgmhBBCCCHEzKiRTQghhBBCiJlRI7uZ6PV6VFRUNPp4nU4HpVIJtVpt1rgeBuXl5SblLysrg1KphFKpbNI1f9hptVpUVlY26liNRmP2eEjrV1FRAb3e+C2UH1T9f6+xv3cPK1Prd71ez9dRRUVFte5a116YWr9X0+v1rWbrcULqQo1sCyspKcH06dMhk8lgb2+PHj164MiRIyaXM3HiRDg6OuLVV1+1SJyt0bp16+Dr6wsHBwc4Oztj8eLFRn0ZTZs2DQEBAQgICIBcLoefnx8+/PDDJjUeHiZXr17FkCFDIJPJIJVKERcXh5ycnAaPS09PxwsvvAAfHx/Y2dnBzc0NL7/8MoqLi5slbtJy/vrrL/Tq1Qv29vaQyWSYOnWqyfc9Ozsb3t7ecHR0xIULFywWa2uiVCoxefJk2Nrawt7eHqGhoTh+/HiDx+Xk5PB1lJ+fH6RSKR577DEcPXq0WeJuDb755ht4e3vDwcEBrq6uWLJkiVHH7dq1C0OHDoVcLue/U7dv327xeAlpFEYsauzYsSwoKIhlZWUxrVbLFi5cyGQyGUtPTze6jO+//54FBgYyZ2dnNmfOHIvG21rs2rWLCQQCtmXLFsYYY3/99ReTyWTsk08+MakcnU7Hdu3axaysrNi7775roWhbj9LSUubn58fGjRvHSktL2d27d1l0dDTr0aMH0+l09R47adIk1rt3b3bq1CnGGGNnzpxh/v7+bNiwYc0UPWkJmZmZzM7Ojs2fP59pNBqWnZ3NunbtykaPHm10GXq9nkVFRbE+ffowAOzs2bMWjbm1iIuLYyEhISw3N5dpNBr20ksvMXt7e5abm2tSOXfv3mXTpk1jMpmMpaamWize1mLr1q1MKBSyHTt2MMYYS0pKYjY2NuzLL7+s97iSkhLGcRxbsGABu3v3LquoqGCffPIJA8CXRUhrQo1sC7py5QoDwH7++Wc+TafTMU9PT/byyy8bVUZOTg5zdHRkBw8eZN7e3u2mkd2/f382atQog7QFCxYwV1fXBhuLtRk3bhwLCQkxY4St0zfffMNEIhHLz8/n01JSUhgAlpiYWO+xa9asYSqVyiBt5cqVDADLy8uzWMykZc2fP5+5u7szrVbLp+3atYsBYJcuXTKqjM8//5wFBQWxnTt3tptG9rlz5xgAtmfPHj5No9EwFxcX9vrrr5tcXmFhIQPAVqxYYeZIW5+ePXuycePGGaS98MILzNvbm+n1+jqPKysrY2vXrq2R3qNHD5P+KCSkudBwEQs6fPgwACAqKopPEwqFGDx4MP9ZQ2bMmIH4+HgMHTrUYnG2NiqVCidOnEB0dLRBelRUFBQKBS5evGhymTqdDhKJxIxRtk6HDx9GSEgIXF1d+bTg4GB4eHg0+Dv3zDPPwMbGxiBNILhXRXAcZ6GISUs7fPgwIiIiIBL9uzdZZGQk/1lDrl69ijfffBNr1qyBlZWVRWNtTQ4fPgyBQIAhQ4bwaWKxGIMGDTK6fr9f9fjitl5PKZVKnDt3rtb6PTc3F9euXavzWKlUihkzZtRIFwgEVEeRVoka2RaUkZEBe3t7yOVyg3RfX19kZGQ0ePzXX3+NCxcuYOnSpRaMsvXJysqCXq+Hr6+vQXr1e2OuXfXEotzcXKxevRp79uzB22+/bbGYW4uMjIwa1w0m/M7dT6fTYeXKlQgODoa7u7sZoyStSW2/MzKZDI6Ojg3+zuh0OkydOhUzZszAwIEDLRxp65KRkQEXF5caf5ia8n9NrVZDqVTi0qVLePbZZ9GlSxeMHz/eQhG3DtXXpin1+/2OHDmCs2fP8n8YEtKa0LbqJjBmFrhUKuV7ItRqNaytrWvksba2bnCVkBs3bmDBggX44Ycf4ODg0MTIW5ZarW5w5r1IJIJMJuPzo+o63a/6vTErrKSmpqJv375Qq9XQaDSYN28eRowY0YSzaH6VlZUoKSlpMJ+9vT3f49yU37kHvfTSS7hw4QJ+++03k44jLUer1aKsrKzBfPfXKU35nfnwww+Rn59v9KS11kypVDaYx1z1e7V3330XX3/9NYqLi+Hu7o5Nmzbx9eDDQqVSNbgakbnr92p5eXmYMGECQkND8fzzzzciekIsixrZJujcuXODyw198sknmDlzJgDA1tYWKpWqRp6ysrIGK9L//ve/iIyMxODBg/nKnzEGjUYDpVJp0LBq7d58802sW7eu3jy9evXiH7Ha2toCVZX3/aobD8Z8CXXq1AlKpRKMMRw/fhzjx4/HjRs3kJiY2IQzaV5nz541apjQsWPHEBwcDDTwO+fm5mb0z/7ggw/w9ddfY+3atQaPw0nrtmPHDsyaNavBfLdv3+aHdjS2nkpPT8f777+PH374AVqtFkqlkv8/WlJSgtLS0oeqwRgQENBgni+//BJTpkwBmli/V1uyZAmWLFmCsrIyfPXVV4iNjcXOnTvxxBNPNOIMWsb8+fOxadOmevOEh4dj7969gJnqdwC4e/cuhg8fDolEgl9++aXND7MhD6mWHhTelq1du5YBYAqFwiA9Pj6e9evXr95jw8PDmVwuN3hxHMckEgmTy+UsLS3NwtG3nPLyciYSiWqsJFI9GSslJcXkMr/99lsGgN26dcuMkbY+U6ZMYV27dq2R7uzszBYsWGBUGV9++SUDwL766isLREham/Dw8BqTxqon4a1atarO406ePFmjjrK1tWUAmEwmY3Fxcc0QfctZsWIFA8CKi4sN0h9//HEWERHRqDJ79erFnnzySTNF2DpVrxDy4EoiW7duZQCM+m4rKSlh/fv3Z76+viat1EVIc3s4ukIfUkOHDoVAIOD/gkfVwvt//PEHhg0bZpC3qKjI4DHZX3/9xW9WUP3y8vLCzJkzoVQqERgY2Kzn0pysrKwwePBgg+sGAHv37oWfnx+CgoL4NLVajaKiogbLLC4uBsdxEIvFFom5tYiNjcXly5eRmZnJp504cQJ37twx+J2rrKyEUqmEVqs1OH7Dhg144YUXsHTpUsyZM6dZYyctIzY2FklJSQY9i3v37gXHcYiJieHTqnurqzea6dOnT4066qeffgIAJCcn49dff22Bs2k+MTEx4DgO+/bt49NKS0uRnJzcYP1eG8YYSkpK2vzkUZlMhgEDBtRav3fq1Mngu622+r28vByjR49GZmYmDh06ZNQTCEJaTEu38tu6559/nnl7e7Pk5GSWmZnJJk+ezNzc3AyWWGOMMVtbW/bcc8/VW1Z7WsLvyJEjTCQSsY8++ojl5eWxTZs2MbFYzDZs2GCQb86cOczKyop/X1paygYPHsx+/fVXlpmZydLS0ti6deuYvb09mzZtWgucSfPSaDQsJCSEDRkyhF29epX9888/rGfPniwyMtIg38mTJxkA9uOPP/JpP//8MxMKhWz+/Pns7t27Bq/GLJtIHg4KhYJ5eHiwiRMnsszMTHb06FHm4+PDZs6caZDvxx9/ZADYyZMn6yxr79697WYJP8YYmz59OvPz82PHjh1jGRkZbNy4cczLy4sVFhYa5BMKhezFF1/k369YsYItXLiQHT9+nN26dYudOXOGTZ06lYnFYpaUlNQCZ9K8Dh06xIRCIfv8889ZXl4e27BhAxOJRGzz5s0G+Z555hkml8v591qtlo0cOZLJ5XL2119/GdRRDz5RIKQ1oJ5sC/viiy/wzDPPYMaMGQgLC0NRURGSkpIMllhD1UQkqVRab1lyubzBPG3FwIEDsXv3buzatQs9evTAxx9/jNWrV2Pq1KkG+aRSqcEkLltbW3z00UfYuHEjhgwZgqioKHz33Xf4/PPPsXbt2hY4k+YlFotx8OBB+Pn5ISoqCk888QQGDBiAHTt2GOQTiUSQy+UG4xh/+OEHyGQyrF69mt+Nrvp18uTJFjgb0hxcXFyQlJSEsrIyhIWFYdq0aZg+fTq++uorg3wSiQRyudxgqb8HicViyOVyCIXCZoi85X3zzTeYPHkyJk+ejPDwcGi1WiQlJcHR0dEgn4ODg8EqJM888wx8fX0xb9489OzZk6/XTp48iYiIiGY/j+YWFRWFxMREbN68GT169MDy5cuxYcMGPP300wb5pFKpwepcN2/exJ9//gkAGDFihEEd9eDTA0JaA44Zs081IYQQQgghxGjUk00IIYQQQoiZUSObEEIIIYQQM6NGNiGEEEIIIWZGjWxCCCGEEELMjBrZhBBCCCGEmBk1sgkhhBBCCDEzamQTQgghhBBiZtTIJoQQQgghxMyokU0IIYQQQoiZUSO7ndq8eTNefPFFk49bv349Fi5caJGY6lNYWIiEhARcuXKl2X82qVt5eTl+/PFHTJw4EfPmzWvpcEgbM3PmTPzyyy8mHzdlyhQcPHjQIjHVZ+vWrY2qV4llZWRkYPHixUhISMDu3btbOhzSjlAju526ePEi9u/fb/Jx586dw6FDhxrM98MPP5i10aVSqbB9+3YUFBSYrUxSkyn37dSpUwgMDMSuXbuQlpaGAwcOWDw+0r788ssvuHr1qsnH7dixA6mpqQ3mmzFjhlkbXSkpKY2qV4lpTLlvCxcuRFRUFCoqKrB9+3Zcv37d4vERUo0a2e3UhAkT8MUXX1is/AsXLlCj6yFkyn0LDAzE5cuX8eOPP+KRRx6xeGyk/VmzZg1GjRplsfJ37dpFja6HkCn37bnnnkNqairefvtti8dFyINELR0AqV9qaioWLlyIL774Al5eXgCAZcuW4dixY1i7di3kcjkA4IMPPoCDgwPmzJkDAFAqlVi3bh3OnTsHKysrjB49Gk888QRf7oULF3Ds2DHExsbyaRcvXsSaNWugUCjQuXNnTJ48GQsWLMD777+PoKAgg7guX76MTZs2ISsrC506dcLcuXP5WDZv3oydO3ciLy8PCQkJAIDY2FjMmjXLqNiqy1+1ahXy8/PRuXNnjB071uhrplQqsWHDBpw9exb29vZ46qmn8Nhjj/GfZ2VlYc2aNbhx4wacnJwwZswYREdH85+vX78ely9fRkJCAhITE5GZmYnOnTvjhRdegEajwbfffovLly/D29sbc+fOhY+PT41jJ0yYgG3btiErKwtdu3bFnDlzYGdnZxCnsXFMnz69zmt9/znXd02NKauh+/YgZ2dno+8JadtWrVqF7OxsvPfee0DVk6dp06ahd+/eeO2114CqIV+zZs0yqE9OnTqFzZs34+bNm/D398dzzz2HgIAAvtzExESMGjUKjz76KACAMYZNmzbhwIEDEIlEGDFiBPR6PY4ePYrly5fXiGvr1q34888/odFoMGzYMIN6ZObMmSgpKcH69etx5MgRAMDHH3+MDh06GBUbYwxbtmzB3r17+VhMcebMGWzZsgW5ubkICgrC888/DxcXF/7zvXv3YteuXSguLsajjz6KmTNn8t8BqBoSM2HCBCgUCpw4cQIqlQqjR4/Gk08+iaNHj2LLli0oKirCgAEDMHPmTAgEAoNjJ0+ejPz8fPz9999Qq9WIj4+vUQ8bG8eUKVOgVCrrvNbVGrqmxpTV0H17UF3phDQH6slu5Xx9fbFv3z6D3sXPPvsMO3fuxOHDhwEAer0ey5Ytg0h072+mtLQ0hISEYMOGDejfvz86deqEyZMnY8mSJXwZDw4XOXXqFPr27Yvc3FwMHToUCoUC/fv3r3WIxrVr1zB27Fg4OzsjIiICW7duRVRUFPR6PQAgJCQEwcHBkMvlGD9+PMaPH4++ffsaHdv58+fRp08fZGVlYejQobh9+zYiIyONul7Xr19Ht27d8N133yE0NBSdO3fGW2+9hcTERADApUuXEBISglOnTiE6Oho2NjYYPnw4li5dypdx7tw5fP3115g6dSrc3d0xYMAArFy5EtHR0Rg0aBBUKhViYmJw6tQphIeHQ6VSGRy7cuVKxMXFwdHREeHh4Vi/fj0iIiKg1Wr5fMbGsXLlynqvtbHX1Jiy6rtvhNTHysoKn376KTQaDQAgKSkJO3bswLJly8AYAwAcOnQIv/zyC/z8/AAAK1asQFhYGO7evYuYmBhkZWWhV69euHbtGl/ug8NF5s2bh+effx6PPPII+vfvj6VLl2L27Nm1DtF46623sHXrVvTu3Rve3t6YNGkSVqxYwX8+evRoWFlZoVevXvzvu6Ojo9Gxvfbaa3j22WfRsWNHhIWF4eOPP8ZXX31l1PVavnw5+vXrh8LCQkRHR0Oj0SAiIoL/fNGiRRgzZgycnJwQGRmJpKQkhISEGAyB2bFjByZOnIh9+/ahb9++kMvlGDNmDOLj4zF79mx06dIFoaGheOONN/g/dO4/dtKkSdi4cSNCQ0Ph6uqK+Ph4fP755wb5jI1j0qRJ9V5rY6+pMWXVd98IaXUYafVGjBjBJk2axBhj7NKlS0wikbBp06ax2bNnM8YYO378OAPAUlNTGWOMxcXFMR8fH1ZaWsqXsWvXLmZjY8Nu3rzJGGPszTffZJ07d+Y/j4qKYsOHDzf4ufPnz2cAWHJyMp/24osvMolEwjIzM/m0s2fPMgDszJkzfNrChQtZ165da5yLMbHFxMSwmJgYg+NefvnlGrHUJjY2lnXv3p1ptVo+Ta/XM4VCwX8eHh7O9Ho9//knn3zCrK2tWW5ursE5ZmVl8XlWr17NALBVq1bxafn5+QwAS0xMNLg+ANiRI0f4tLy8PGZjY8O+/vprgziNjaOha23MNW3qfWvIpEmTGnUcaRtyc3MZAHb48GHGqv6/TpgwgclkMv73a+bMmSwyMpIxxlhWVhYTi8Vs/vz5BuWMGjWKJSQk8O/d3d3ZJ598whhj7Pr160woFLJt27bxn6tUKubp6WlQlzHGmK2tLYuLizNImzNnDgsNDTVIc3Z2Zp999plBmjGxpaamMpFIxDZv3sx/XlZWxjw8PGrE8qC0tDQmFArZsmXLDNLz8/P5ssViMVuzZg3/mU6nY126dGHx8fEG5zhy5EiDMsLCwpiDgwO7c+cOn7ZkyRLm6upa4/p07dqVVVZW8mlLly5lMpmMP9aUOBq61sbe76bct4ao1WoGwOTjCGkK6sl+CMTExPCTDQ8ePIgBAwZg9OjR/Oz5gwcPIjAwEB06dIBGo8GBAwcwdepU2Nra8mWMHDkSAoGA7/2+X/Xj1gcf7z311FO1xtOpUye+NwoA/yg3Ozu73vMwJjbGGJKTk2v87PHjx9dbNgBUVFTg0KFDmD59Ot+rDwAcx8HFxYUve/z48eA4jv98woQJKC8vx4kTJwzO0dfXl39f/cjx/h51V1dX2NnZIScnxyAOLy8vDBw4kH/v4eGBQYMGISkpCah6zGxKHPVda1Pud2PvGyEN8fLyQpcuXfDbb78BVXVSXFwcIiIiDOqpoUOHAgD2798PrVaL2bNnG5QzYcIE7Nmzp9afcfToUQDAk08+yafZ2NjUOsQBAP+zqj366KNG/a4bE9vRo0fBGEN8fDz/uVQqxciRIxss/8CBA6isrMSzzz5rkO7q6sqXrdVqDeo8oVCIcePG8XVItaioKIP3HTp0QI8ePeDk5GSQplAo+KcM1caOHWswhOSpp55CaWkpzpw5Y3IcDV1rU+53Y+8bIa0Rjcl+CMTExGDevHm4cOECDh48iNjYWERFRSEtLQ2ZmZk4ePAgYmJiAAClpaXQarXYv39/rbPy09PTa6SVlpaioqICDg4OBun3V9T3s7a2NnhfXVHfP4ShNsbEVlpaivLy8hqP/4x5HFhWVobKykqDcY0P/ny1Wl3jvKrfKxSKBs+xtvQHz7u2WJ2cnPjyzRFH9c805X439r4RYoyYmBgcPHgQc+bMwaVLlxATEwOFQoHdu3cjPj4eGRkZfD1VWFgIAHj11VcNylAoFFCpVLh9+zbc3d0NPrtz5w5kMpnBH9AwsZ4y5nfdmNgKCgogk8kgFosN8hhTTxUVFUEikcDe3r7WzwsKCmBlZWXwRzOqzvPu3buorKyEUCis8xyN/X/+YKwP1j9NjeP+n2fK/W7sfSOkNaJG9kOgW7du8PT0xJ49e5CUlIR33nkHcrkcffv2xY4dO3Ds2DF+wqODgwPkcjlCQ0MNJjWiqjc4ODi4Rvn29vZwcnJCWlqaQboxS2DV5f4e2mrGxGZnZwcnJyfcuHHD4PMH39fGwcEBDg4OSElJqfVzOzs7uLi41JiVXv3eXBNksrKyoNVqDb6Ab9y4gZ49e5o9jsbc7/rUdt8IMUZMTAy++uorbNu2Dd27d4ebmxtiYmLw+uuvIzExEY6OjujduzcAICAgAAKBAPHx8ZBIJAblzJ07t8YkYVStZlNUVITCwkKDhrW56yljYgsICEBRUREKCgoM/qg3pp4KDAyERqNBamoqOnbsWOPzDh06oKKiAtnZ2QZP065fvw4/Pz++YdtUddWxgYGBZo+jMfe7PlRPkYcFDRd5SAwdOhSffvoprKysEBoaClR9qS1ZsgQ6nY5/bCgQCPDcc8/h5MmTiIyMREJCAv8SCoV19p5MmjQJ3377Ld+LUVFRgY8++qjR8bq5uUGhUPCTnkyJberUqfjmm29w+/ZtAIBarTaYxFcXgUCAZ599FitXrsSFCxf49LS0NH4IxtSpU/mVEABAp9Ph3XffRceOHTFo0KBGn+/9SkpKsGzZMv79r7/+itOnT2PKlCl8mrniaOz9rktt940QYwwePBgCgQAffPAB/wdf165d4eTkhI8//hhRUVF8r+oTTzwBb29vpKamYuzYsfzv7NChQ6FSqSCVSmuUHxMTAzc3N7z//vt82rlz57Br165Gx+zm5ob8/HyDNGNii42NhYeHBxYvXswfd/LkSaNiiYuLg7e3N+bPnw+1Ws2nb968GQAQHR0Nb29vLFq0iO/BvXHjBjZu3Ijp06c3+lwf9P333/N/oOh0Orz//vsIDg7mJzubM47G3O/61HbfCGmNqJH9kIiJiUF+fj6io6P5L6rqtF69ehksp/b+++8jPDwcHTp0QGRkJIYPHw4/Pz98//33NR79VVu8eDFcXFwQHByM4cOH49FHH+WXdmtMz8mYMWOg0WjQt29fJCQkYNWqVUbHtmjRIn6M57Bhw9C5c2d+vGJDPvjgA4wZMwZ9+/bFwIEDERERgZEjR8LGxoY/zx49eiAkJASxsbHo3Lkz/v77b/zwww+wsrIy+Txr4+/vj23btqFPnz6IiIhAfHw8Fi5ciMGDB/N5zBlHY+53Xeq6b7VRqVT8l2VycjKys7P597QzZ/sjk8kQHh6O/Px8flgIqjoI8vPzDcbaSqVS7Nu3D9u3b0eHDh0QFxeH8PBwdO/eHcXFxXWWv3btWqxevRohISGIjo7GyJEjERYW1uje3enTp2P58uWIi4tDQkIC0tLSjIrN1tYW69atw8aNG9GtWzdER0djzJgxBnMx6iKVSrF7926kpKQgMDAQw4cPR+fOnfkGukwmw/fff4/du3cjODgYMTEx6NWrF4YMGWLW3XbDwsIwaNAgxMbGIigoCH/++SfWrVvHX0tzxtGY+12f2u5bXX755RckJCRg4sSJQNVypgkJCbQzJ2kWHKMuq4dCUVERDh48iG7duvFrzGq1WiQmJiIgIAB9+vSpcYxCocCZM2cgEAjQtWtXg7VNL126hNzcXIMhBnq9HsePH+fXyVYoFHjssceQlpbGP0I8f/487ty5YzDhRq/X4+eff8aAAQMMfkZxcTFOnz6NwsJCdOjQAb169TIqtuoyT5w4wa+T7efnh927dyMyMtKo9ZlzcnJw/vx5ODs7IzQ0tMYjypSUFNy4cQOOjo4ICwsz+Ly2c1QoFEhKSkJcXBzfYEfVpghdu3blH/u+9NJLOHLkCP7++2+kpKQgKysLwcHBtT4WbkwcdV3rhq6pue7b/ap//2pj7H0ibcu5c+dw48YNjBw5kv9j8fr16zh//nydvxMXLlxARkYG3N3dERISYvD/69dff8Wjjz7KT9IFgLt37+LYsWMQiUQICwvDiy++iOzsbIOdaHfu3Inu3bsbDL1KTU1FSkpKjcmJ169fx7Vr16BWqxEdHW0wVrm+2FC1Pv2xY8cgFAoRFhaG3Nxc5OTk1Bi6VRu9Xo/Tp0/j9u3btdYR5eXlOH78OIqKitC5c2d07tzZ4PPazvHkyZOoqKgweBqWm5uLY8eOIT4+nu+gkclkWLp0KZ5++mlcuHAB5eXlGDhwYK1/lDcmjrqudUPX1Fz37X7Xrl3DP//8UyPd3t7eqPtESFNQI5sAVV9cFy9e5DdtKS8v53sI6hrjTGqqbmSfOnWqpUMhpM1JTk5Gt27d+AbVpUuXEBYWhsWLF+OVV15p6fAeGtWN7Oeff76lQyGkTaOJjwSo2kzi7bffRmFhIby8vHD+/Hk4ODhg06ZNLR0aIYQAVU9PevXqhQ4dOkCr1eLkyZOYOHEiXnjhhZYOjRBCaqCebGLg8uXLSE9Ph4+PD7p06VJjuSxSv9qGZRBCzEelUuHs2bNQq9UICgqCj49PS4f00KltWAYhxPyokU0IIYQQQoiZ0eoihBBCCCGEmBk1sgkhhBBCCDEzamQTQgghhBBiZtTIJoQQQgghxMyokU0IIYQQQoiZUSObEEIIIYQQM6NGNiGEEEIIIWZGjWxCCCGEEELMjBrZhBBCCCGEmBk1sgkhhBBCCDGz/x94cC3GYkATvwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "sketch, Spearman with true age: start 0.96 after 0.97\n" ] } ], "source": [ "from scipy.sparse import diags, eye\n", "from scipy.sparse.linalg import spsolve\n", "from sklearn.neighbors import kneighbors_graph\n", "\n", "\n", "def smooth(points, start, k):\n", " \"\"\"Solve (I + 10 L) x = start on the symmetric k-nearest-neighbour graph, then rank x from 0 to 1.\"\"\"\n", " graph = kneighbors_graph(points, n_neighbors=k)\n", " affinity = graph.maximum(graph.T) * (np.log2(k) / k)\n", " laplacian = diags(np.asarray(affinity.sum(axis=1)).ravel()) - affinity\n", " solved = spsolve((eye(points.shape[0]) + 10 * laplacian).tocsc(), start)\n", " return (pd.Series(solved).rank().to_numpy() - 0.5) / solved.size\n", "\n", "\n", "rank01 = lambda values: (pd.Series(values).rank().to_numpy() - 0.5) / len(values)\n", "sketch = np.random.default_rng(5).choice(np.flatnonzero(in_g2m), 40, replace=False)\n", "points = weighted[sketch][:, :2]\n", "start = rank01(score[sketch])\n", "after = smooth(points, start, k=5)\n", "links = kneighbors_graph(points, n_neighbors=5).tocoo()\n", "figure, axes = plt.subplots(1, 2, figsize=(8, 3.3), sharey=True)\n", "for axis, values, title in zip(axes, (start, after), (\"start: S-axis rank\", \"after smoothing\"), strict=True):\n", " for cell, other in zip(links.row, links.col, strict=True):\n", " axis.plot(*points[[cell, other]].T, color=\"0.85\", lw=0.6, zorder=0)\n", " dots = axis.scatter(*points.T, c=values, cmap=\"viridis\", s=30, vmin=0, vmax=1, zorder=1)\n", " axis.set(xlabel=\"weighted component 1\", title=title)\n", "axes[0].set_ylabel(\"weighted component 2\")\n", "figure.colorbar(dots, ax=axes, label=\"order\")\n", "plt.show()\n", "print(\n", " \"sketch, Spearman with true age: start\",\n", " round(spearman(start, age[sketch]), 2),\n", " \"after\",\n", " round(spearman(after, age[sketch]), 2),\n", ")" ] }, { "cell_type": "markdown", "id": "1f5129fe", "metadata": {}, "source": [ "On the sketch the start order already follows the true age, at a rank correlation of 0.96, and smoothing moves it to\n", "0.97, as each cell's color moves toward its neighbors'.\n", "\n", "### d. Smoothing every reference cell, on a simulation and on real cells" ] }, { "cell_type": "code", "execution_count": 12, "id": "d2aa070a", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:31.420044Z", "iopub.status.busy": "2026-11-10T18:41:31.419893Z", "iopub.status.idle": "2026-11-10T18:41:31.601267Z", "shell.execute_reply": "2026-11-10T18:41:31.599946Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "start: S-axis rank: Spearman with true age 0.98\n", "after smoothing: Spearman with true age 0.99\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reference = np.flatnonzero(in_g2m) # every simulated cell is a control, so the reference G2M cells are all of them\n", "start_all = rank01(score[reference])\n", "figure, axes = plt.subplots(1, 2, figsize=(8, 3), sharey=True)\n", "for axis, values, title in zip(\n", " axes, (start_all, entry[\"order\"]), (\"start: S-axis rank\", \"after smoothing\"), strict=True\n", "):\n", " axis.scatter(age[reference], values, s=2, color=\"tab:red\", rasterized=True)\n", " axis.set(xlabel=\"true age of G2M cells\", title=title)\n", " print(f\"{title}: Spearman with true age {spearman(values, age[reference]):.2f}\")\n", "axes[0].set_ylabel(\"order within G2M\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d33ee194", "metadata": {}, "source": [ "On all the simulated reference cells the start follows the true age at 0.98, and smoothing takes it to 0.99, since\n", "the one informative feature is clean. Real features are noisier. On the screen, the image classifier's mitotic calls score the order,\n", "as in [the tutorial](cell_cycle.ipynb#with-a-marker-checking-the-order), which reads the result." ] }, { "cell_type": "code", "execution_count": 13, "id": "3bba12aa", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:31.605733Z", "iopub.status.busy": "2026-11-10T18:41:31.605455Z", "iopub.status.idle": "2026-11-10T18:41:41.481544Z", "shell.execute_reply": "2026-11-10T18:41:41.480283Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "project_cell_cycle: 2 ['Metadata_Plate', 'Metadata_Well'] group(s) could not be checked against the reference: {'no 4N peak': [('6', 'B01')], 'peaks moved apart': [('7', 'A02')]}\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AUROC for mitotic calls, start: 0.76\n", "AUROC for mitotic calls, after smoothing: 0.88\n" ] } ], "source": [ "from sklearn.metrics import roc_auc_score\n", "\n", "screen = mt.ds.aconcagua_cells()\n", "mt.tl.dna_content(\n", " screen,\n", " dna_feature=\"Nuclei_Intensity_IntegratedIntensity_DAPI\",\n", " by=(\"Metadata_Plate\", \"Metadata_Well\"),\n", " reference=\"negcon\",\n", ")\n", "mt.tl.fit_cell_cycle(screen, reference=\"negcon\")\n", "mt.tl.project_cell_cycle(screen)\n", "mt.tl.phase_order(screen, phase=\"G2M\")\n", "real = screen.uns[\"mantispy\"][\"cell_cycle_G2M_order\"]\n", "check = ((screen.obs[\"cell_cycle_phase\"] == \"G2M\") & (screen.obs[\"Metadata_Control_Type\"] == \"negcon\")).to_numpy()\n", "real_start = rank01(s_axis(screen[check], real)[0])\n", "real_order = screen.obs.loc[check, \"cell_cycle_G2M_order\"].to_numpy()\n", "is_mitotic = (screen.obs.loc[check, \"Metadata_Class\"] == \"Mitotic\").to_numpy()\n", "\n", "figure, axis = plt.subplots(figsize=(5, 3))\n", "deciles = np.arange(10)\n", "for values, label, color in (\n", " (real_start, \"start: S-axis rank\", \"0.6\"),\n", " (rank01(real_order), \"after smoothing\", \"black\"),\n", "):\n", " share = pd.Series(is_mitotic).groupby(np.minimum((values * 10).astype(int), 9)).mean()\n", " axis.plot(deciles, share.reindex(deciles), marker=\"o\", color=color, label=label)\n", "axis.set(xlabel=\"tenth of the order within G2M\", ylabel=\"share mitotic\")\n", "axis.legend(fontsize=7)\n", "plt.show()\n", "print(\"AUROC for mitotic calls, start:\", round(roc_auc_score(is_mitotic, real_start), 2))\n", "print(\"AUROC for mitotic calls, after smoothing:\", round(roc_auc_score(is_mitotic, real_order), 2))" ] }, { "cell_type": "markdown", "id": "6a43b47e", "metadata": {}, "source": [ "Smoothing raises the AUROC for the mitotic calls from 0.76 to 0.88. The\n", "[tutorial](cell_cycle.ipynb#with-other-channels-an-order-within-a-phase) shows what this order follows on the screen,\n", "which is mostly gamma-H2AX.\n", "\n", "### e. Placing every cell against the reference\n", "\n", "The order of the reference cells stays fixed once fitted. Every cell of the phase, a control or a knockout, then gets\n", "the mean order of its 30 nearest reference cells in the weighted space. A cell's order thus depends on the reference\n", "and on the cell, not on the other cells placed beside it, and orders from objects placed against the same ``anchor``\n", "can be compared. The next cell places the latest quarter of the simulated G2M cells alone, against the same anchor." ] }, { "cell_type": "code", "execution_count": 14, "id": "de424978", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:41.484272Z", "iopub.status.busy": "2026-11-10T18:41:41.484094Z", "iopub.status.idle": "2026-11-10T18:41:41.509657Z", "shell.execute_reply": "2026-11-10T18:41:41.508609Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largest change when the late cells are placed alone: 0.0\n", "median order of the late cells: 0.87\n" ] } ], "source": [ "late = in_g2m & (age > np.quantile(age[in_g2m], 0.75))\n", "alone = sim[late].copy()\n", "mt.tl.phase_order(alone, model=sim.uns[\"mantispy\"][\"cell_cycle\"], anchor=entry)\n", "together = sim.obs.loc[late, \"cell_cycle_G2M_order\"].to_numpy()\n", "print(\n", " \"largest change when the late cells are placed alone:\", np.abs(alone.obs[\"cell_cycle_G2M_order\"] - together).max()\n", ")\n", "print(\"median order of the late cells:\", round(float(np.median(together)), 2))" ] }, { "cell_type": "markdown", "id": "78a656f3", "metadata": {}, "source": [ "Placed alone, the late cells keep their orders exactly, at a median of 0.87. Ranked among themselves instead, they\n", "would have spread over the whole phase.\n", "\n", "### f. Where it worked and where it did not\n", "\n", "The same steps run in any phase and on any features. In our tests the result depended on the phase:\n", "\n", "- In S, DNA content already places each cell, and the order from the other features followed the true age a little\n", " less closely.\n", "- In G1, with the nuclear area among the features, the order followed nuclear size, which varies far more between\n", " cells than it grows with age.\n", "- In G2M, the order follows whatever trends through S, and it loses accuracy when a feature turns back in\n", " mitosis.\n", "\n", "The table shows each case on the simulation, the last with tubulin falling back over the final tenth of the cycle, in\n", "mitosis." ] }, { "cell_type": "code", "execution_count": 15, "id": "936d5592", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:41.512431Z", "iopub.status.busy": "2026-11-10T18:41:41.512260Z", "iopub.status.idle": "2026-11-10T18:41:42.585669Z", "shell.execute_reply": "2026-11-10T18:41:42.584525Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Spearman with true age \\\n", "S, position from DNA 0.99 \n", "S, order from the other features 0.98 \n", "G1, order with nuclear area 0.39 \n", "G2M, tubulin keeps rising 0.99 \n", "G2M, tubulin falls back in mitosis 0.69 \n", "\n", " Spearman with cell size \n", "S, position from DNA NaN \n", "S, order from the other features NaN \n", "G1, order with nuclear area 0.87 \n", "G2M, tubulin keeps rising NaN \n", "G2M, tubulin falls back in mitosis NaN " ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s_order = sim.copy()\n", "mt.tl.phase_order(s_order, phase=\"S\")\n", "g1_order = sim.copy()\n", "mt.tl.phase_order(g1_order, phase=\"G1\", features=list(sim.var_names[1:])) # nuclear area included on purpose\n", "reversed_sim = simulate(seed=4, reverse_at=0.9)\n", "mt.tl.dna_content(reversed_sim, dna_feature=\"Nuclei_Intensity_IntegratedIntensity_DNA\", reference=\"negcon\")\n", "mt.tl.fit_cell_cycle(reversed_sim, reference=\"negcon\")\n", "mt.tl.project_cell_cycle(reversed_sim, by=None)\n", "mt.tl.phase_order(reversed_sim, phase=\"G2M\")\n", "\n", "in_g1 = phase == \"G1\"\n", "r_age = reversed_sim.obs[\"age\"].to_numpy()\n", "r_g2m = (reversed_sim.obs[\"cell_cycle_phase\"] == \"G2M\").to_numpy()\n", "r_order = reversed_sim.obs[\"cell_cycle_G2M_order\"].to_numpy()\n", "size = sim.obs[\"size\"].to_numpy()\n", "pd.DataFrame(\n", " {\n", " \"Spearman with true age\": [\n", " spearman(sim.obs[\"cell_cycle_position\"][in_s], age[in_s]),\n", " spearman(s_order.obs[\"cell_cycle_S_order\"][in_s], age[in_s]),\n", " spearman(g1_order.obs[\"cell_cycle_G1_order\"][in_g1], age[in_g1]),\n", " spearman(sim.obs[\"cell_cycle_G2M_order\"][in_g2m], age[in_g2m]),\n", " spearman(r_order[r_g2m], r_age[r_g2m]),\n", " ],\n", " \"Spearman with cell size\": [\n", " np.nan,\n", " np.nan,\n", " spearman(g1_order.obs[\"cell_cycle_G1_order\"][in_g1], size[in_g1]),\n", " np.nan,\n", " np.nan,\n", " ],\n", " },\n", " index=[\n", " \"S, position from DNA\",\n", " \"S, order from the other features\",\n", " \"G1, order with nuclear area\",\n", " \"G2M, tubulin keeps rising\",\n", " \"G2M, tubulin falls back in mitosis\",\n", " ],\n", ").round(2)" ] }, { "cell_type": "code", "execution_count": 16, "id": "4a5c1580", "metadata": { "execution": { "iopub.execute_input": "2026-11-10T18:41:42.587860Z", "iopub.status.busy": "2026-11-10T18:41:42.587525Z", "iopub.status.idle": "2026-11-10T18:41:42.592643Z", "shell.execute_reply": "2026-11-10T18:41:42.591713Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "median order of cells in mitosis, where tubulin falls back: 0.67\n", "where a correct order would put them: 0.83\n", "median order of the other G2M cells: 0.35\n" ] } ], "source": [ "mitosis = r_g2m & (r_age > 0.9)\n", "correct = rank01(r_age[r_g2m]) # where an order that followed the true age would put each G2M cell\n", "print(\"median order of cells in mitosis, where tubulin falls back:\", round(float(np.median(r_order[mitosis])), 2))\n", "print(\"where a correct order would put them:\", round(float(np.median(correct[mitosis[r_g2m]])), 2))\n", "print(\"median order of the other G2M cells:\", round(float(np.median(r_order[r_g2m & ~mitosis])), 2))" ] }, { "cell_type": "markdown", "id": "523c2522", "metadata": {}, "source": [ "In S, the position from DNA follows the true age at 0.99, and the order from the other features at 0.98. In G1, the\n", "order follows cell size at 0.87 and age at only 0.39. In G2M, with tubulin rising throughout, the order follows age at\n", "0.99. With tubulin falling back in mitosis, it follows age at 0.69, and the cells in mitosis read at a median order of\n", "0.67, where a correct order would put them at 0.83.\n", "\n", "### Why it is experimental\n", "\n", "During development the G2M order was also tested on other datasets with a marker of G2 and mitosis to check against\n", "(results not shown here). It followed that marker on some and not on others, and none of the label-free measures we\n", "tried, such as how well the features predict DNA content in S or how stable the order is, told which. So\n", "{func}`~mantispy.tl.phase_order` warns on every call, and its order needs a marker or a paired modality before it is\n", "read biologically.\n", "\n", "## What the model cannot do\n", "\n", "- Order cells within G1 or within G2M from DNA content. There it reports the population prior, and the order from\n", " other features above is an experimental addition.\n", "- Tell resting G0 cells from G1 cells, or cells in mitosis from cells in G2, since each pair holds the same DNA.\n", "- Describe a reference that is not growing in steady state, such as a population recovering from a block, since the\n", " conversion from shares to time assumes it.\n", "- Correct a well whose stain reads differently. The well check only reports it.\n", "- Separate every merged pair or fragment from a real cell. The shape checks catch only the clear cases." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.15" } }, "nbformat": 4, "nbformat_minor": 5 }