{ "cells": [ { "cell_type": "markdown", "id": "37e76c31", "metadata": {}, "source": [ "# Method selection: Discounted Future-Fate Propagation\n", "\n", "This notebook explains, visually and mathematically, why scCS uses\n", "**Discounted Future-Fate Propagation (DFFP)** for future identity.\n", "\n", "DFFP is not a transformation of UMAP arrows into the star. It propagates\n", "probability on the original RNA-velocity transition graph with geometric\n", "stopping. The star remains a standardized display.\n", "\n", "The notebook introduces the public terminology:\n", "\n", "- **Conditional Fate Affinity (CFA)** — relative identity among selected fates;\n", "- **Discounted Fate Reach (DFR)** — probability of reaching a selected fate;\n", "- **Future-Fate Specificity (FFS)** — decisiveness among selected fates;\n", "- **Resolved Commitment (RC)** — DFR × FFS;\n", "- **Unresolved Future Probability (UFP)** — probability not assigned before stopping;\n", "- **Signed Ordering Flux (SOF)** — forward or retrograde expected ordering change." ] }, { "cell_type": "markdown", "id": "a62741c5", "metadata": {}, "source": [ "## 1. Imports and reproducibility\n", "\n", "The examples are synthetic so that every assumption is visible. They use the\n", "same public solver called by `scoring_mode=\"future_fate\"`." ] }, { "cell_type": "code", "execution_count": 1, "id": "b5daf848", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:12.067368Z", "iopub.status.busy": "2026-07-15T01:08:12.067161Z", "iopub.status.idle": "2026-07-15T01:08:13.731862Z", "shell.execute_reply": "2026-07-15T01:08:13.730623Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "scCS 0.8.0.dev34\n" ] } ], "source": [ "from __future__ import annotations\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy import sparse\n", "\n", "import scCS\n", "\n", "SEED = 20260714\n", "rng = np.random.default_rng(SEED)\n", "plt.rcParams[\"figure.dpi\"] = 110\n", "\n", "print(\"scCS\", scCS.__version__)" ] }, { "cell_type": "markdown", "id": "5b14e55f", "metadata": {}, "source": [ "## 2. Mathematical definition of DFFP\n", "\n", "Let $P$ be the row-stochastic RNA-velocity transition matrix and let $A$ identify selected and optional competing outcome anchors. Anchor states are made absorbing. For an effective horizon $h$,\n", "\n", "$$\n", "\\gamma=\\frac{h}{h+1}, \\qquad \\mathbb{E}[\\text{continued transitions}]=\\frac{\\gamma}{1-\\gamma}=h.\n", "$$\n", "\n", "The discounted outcome matrix $H$ satisfies\n", "\n", "$$\n", "H_i=A_i \\text{ on anchors}, \\qquad H_i=\\gamma\\sum_jP^*_{ij}H_j \\text{ otherwise}.\n", "$$\n", "\n", "For transient block $Q$ and transient-to-anchor block $R$,\n", "\n", "$$\n", "(I-\\gamma Q)H_T=\\gamma R.\n", "$$\n", "\n", "Unresolved Future Probability is $U_i=1-\\sum_oH_{io}$. This is why DFFP can allow leave-and-return paths without assigning every sufficiently long random walk to a fate." ] }, { "cell_type": "code", "execution_count": 2, "id": "929bd0c4", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:13.734685Z", "iopub.status.busy": "2026-07-15T01:08:13.734199Z", "iopub.status.idle": "2026-07-15T01:08:13.980108Z", "shell.execute_reply": "2026-07-15T01:08:13.978773Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "horizons_for_stopping = [8, 32, 64, 128]\n", "steps = np.arange(0, 260)\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.6))\n", "for horizon in horizons_for_stopping:\n", " gamma = horizon / (horizon + 1.0)\n", " survival = gamma ** steps\n", " stop_probability = (1.0 - gamma) * gamma ** steps\n", " axes[0].plot(steps, survival, linewidth=2, label=f\"h={horizon}\")\n", " axes[1].plot(steps, stop_probability, linewidth=2, label=f\"h={horizon}\")\n", "axes[0].set_title(\"Probability that propagation continues\")\n", "axes[1].set_title(\"Probability of stopping after each step\")\n", "for axis in axes:\n", " axis.set_xlabel(\"Graph transition step\")\n", " axis.set_ylabel(\"Probability\")\n", "axes[0].legend(frameon=False)\n", "fig.suptitle(\"Effective horizon controls graph depth, not physical time\", y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cd99cec8", "metadata": {}, "source": [ "## 3. From outcome probability to scCS metrics\n", "\n", "For selected-fate probabilities $p_{if}$:\n", "\n", "$$\n", "\\mathrm{DFR}_i=R_i=\\sum_fp_{if}, \\qquad\n", "\\mathrm{CFA}_{if}=q_{if}=\\frac{p_{if}}{R_i}.\n", "$$\n", "\n", "$$\n", "E_i=-\\frac{\\sum_fq_{if}\\log q_{if}}{\\log K}, \\qquad\n", "\\mathrm{FFS}_i=1-E_i, \\qquad\n", "\\mathrm{RC}_i=R_i\\mathrm{FFS}_i.\n", "$$\n", "\n", "CFA describes *which future*, DFR describes *how much future is resolved*, FFS describes *how decisive the distribution is*, and RC combines resolution with decisiveness. They should not be collapsed into one unlabeled score." ] }, { "cell_type": "markdown", "id": "06821703", "metadata": {}, "source": [ "## 4. A leave-and-return source graph\n", "\n", "The selected furcation contains a root, an intermediate state, and two fate\n", "anchors. One valid path temporarily leaves the selected cells and returns before\n", "reaching fate A.\n", "\n", "A first-exit model calls the excursion irreversible escape. DFFP keeps the\n", "outside state in the original graph and therefore preserves the return." ] }, { "cell_type": "code", "execution_count": 3, "id": "e0babea7", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:13.982430Z", "iopub.status.busy": "2026-07-15T01:08:13.982214Z", "iopub.status.idle": "2026-07-15T01:08:14.093442Z", "shell.execute_reply": "2026-07-15T01:08:14.092119Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "state_names = [\"root\", \"intermediate\", \"A anchor\", \"outside\", \"B anchor\"]\n", "transition = sparse.csr_matrix(\n", " np.array(\n", " [\n", " [0.00, 0.00, 0.00, 1.00, 0.00],\n", " [0.00, 0.00, 0.65, 0.00, 0.35],\n", " [0.00, 0.00, 1.00, 0.00, 0.00],\n", " [0.00, 1.00, 0.00, 0.00, 0.00],\n", " [0.00, 0.00, 0.00, 0.00, 1.00],\n", " ],\n", " dtype=float,\n", " )\n", ")\n", "anchors = np.zeros((5, 2), dtype=bool)\n", "anchors[2, 0] = True\n", "anchors[4, 1] = True\n", "\n", "positions = {\n", " 0: (-1.5, 0.0),\n", " 1: (0.0, 0.0),\n", " 2: (1.4, 0.8),\n", " 3: (-0.4, 1.2),\n", " 4: (1.4, -0.8),\n", "}\n", "node_groups = [\"selected\", \"selected\", \"fate A\", \"outside\", \"fate B\"]\n", "group_colors = {\n", " \"selected\": \"#4c78a8\",\n", " \"outside\": \"#9d9da1\",\n", " \"fate A\": \"#f58518\",\n", " \"fate B\": \"#54a24b\",\n", "}\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "for source in range(transition.shape[0]):\n", " start, stop = transition.indptr[source : source + 2]\n", " for target, weight in zip(\n", " transition.indices[start:stop],\n", " transition.data[start:stop],\n", " ):\n", " if source == target or weight == 0:\n", " continue\n", " x0, y0 = positions[source]\n", " x1, y1 = positions[int(target)]\n", " ax.annotate(\n", " \"\",\n", " xy=(x1, y1),\n", " xytext=(x0, y0),\n", " arrowprops={\n", " \"arrowstyle\": \"->\",\n", " \"linewidth\": 1.5 + 2.0 * float(weight),\n", " \"alpha\": 0.8,\n", " \"color\": \"0.25\",\n", " \"shrinkA\": 16,\n", " \"shrinkB\": 16,\n", " },\n", " )\n", "for index, name in enumerate(state_names):\n", " x, y = positions[index]\n", " ax.scatter(\n", " x,\n", " y,\n", " s=550,\n", " color=group_colors[node_groups[index]],\n", " edgecolor=\"black\",\n", " zorder=3,\n", " )\n", " ax.text(x, y - 0.23, name, ha=\"center\", va=\"top\")\n", "ax.set_title(\"Source transition graph: the valid path leaves and returns\")\n", "ax.set_axis_off()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8b6624c8", "metadata": {}, "source": [ "## 5. DFFP across effective horizons\n", "\n", "For effective horizon \\(h\\), the geometric continuation probability is\n", "\n", "\\[\n", "\\gamma = \\frac{h}{h+1}.\n", "\\]\n", "\n", "DFFP solves the discounted hitting probabilities for all supplied anchors.\n", "Unresolved probability remains explicit instead of being forced into a fate." ] }, { "cell_type": "code", "execution_count": 4, "id": "011b433b", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:14.095809Z", "iopub.status.busy": "2026-07-15T01:08:14.095585Z", "iopub.status.idle": "2026-07-15T01:08:14.543745Z", "shell.execute_reply": "2026-07-15T01:08:14.542420Z" } }, "outputs": [ { "data": { "text/html": [ "
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effective_horizonP(A)P(B)DFRUFP
020.1925930.1037040.2962960.703704
140.3328000.1792000.5120000.488000
280.4565160.2458160.7023320.297668
3160.5419090.2917970.8337060.166294
4320.5926820.3191360.9118180.088182
5640.6204590.3340930.9545530.045447
61280.6350010.3419230.9769240.023076
\n", "
" ], "text/plain": [ " effective_horizon P(A) P(B) DFR UFP\n", "0 2 0.192593 0.103704 0.296296 0.703704\n", "1 4 0.332800 0.179200 0.512000 0.488000\n", "2 8 0.456516 0.245816 0.702332 0.297668\n", "3 16 0.541909 0.291797 0.833706 0.166294\n", "4 32 0.592682 0.319136 0.911818 0.088182\n", "5 64 0.620459 0.334093 0.954553 0.045447\n", "6 128 0.635001 0.341923 0.976924 0.023076" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "horizons = [2, 4, 8, 16, 32, 64, 128]\n", "records = []\n", "solutions = {}\n", "for horizon in horizons:\n", " solution = scCS.solve_discounted_outcomes(\n", " transition,\n", " anchors,\n", " (\"A\", \"B\"),\n", " effective_horizon=horizon,\n", " )\n", " solutions[horizon] = solution\n", " records.append(\n", " {\n", " \"effective_horizon\": horizon,\n", " \"P(A)\": solution.probability[0, 0],\n", " \"P(B)\": solution.probability[0, 1],\n", " \"DFR\": solution.probability[0].sum(),\n", " \"UFP\": solution.unresolved_probability[0],\n", " }\n", " )\n", "\n", "horizon_table = pd.DataFrame(records)\n", "display(horizon_table)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "for column in [\"P(A)\", \"P(B)\", \"DFR\", \"UFP\"]:\n", " ax.plot(\n", " horizon_table[\"effective_horizon\"],\n", " horizon_table[column],\n", " marker=\"o\",\n", " linewidth=2,\n", " label=column,\n", " )\n", "ax.set_xscale(\"log\", base=2)\n", "ax.set_ylim(-0.02, 1.02)\n", "ax.set_xlabel(\"Effective horizon\")\n", "ax.set_ylabel(\"Probability from the root\")\n", "ax.set_title(\"DFFP stabilizes while unresolved probability remains visible\")\n", "ax.legend(frameon=False, ncols=2)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "dfc0786c", "metadata": {}, "source": [ "## 6. First exit, unlimited mixing, and DFFP estimate different quantities\n", "\n", "- **First exit** measures whether a path stays inside the selected cell set.\n", "- **Unlimited absorption** eventually assigns almost every state in a connected\n", " graph to an anchor, even after long graph mixing.\n", "- **DFFP** allows leave-and-return paths but discounts remote futures.\n", "\n", "These are not interchangeable tuning options." ] }, { "cell_type": "code", "execution_count": 5, "id": "35c4f48f", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:14.546383Z", "iopub.status.busy": "2026-07-15T01:08:14.546210Z", "iopub.status.idle": "2026-07-15T01:08:14.672781Z", "shell.execute_reply": "2026-07-15T01:08:14.671590Z" } }, "outputs": [ { "data": { "text/html": [ "
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P(A)P(B)escape_or_unresolved
method
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" ], "text/plain": [ " P(A) P(B) escape_or_unresolved\n", "method \n", "First exit 0.000000 0.000000 1.000000\n", "DFFP, h=64 0.620459 0.334093 0.045447\n", "Long-time absorption 0.649998 0.349999 0.000003" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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5jNDQUGubl5eX0axZs7vWnNE2plVD9+7dDUnGkiVLbPouXLjQkGS88MILqbbvzs+/pKQko1y5coaPj4+1La33PwAgNYZwI9s8+eSTqW4q1rhxY0m3bmSTYvHixfL391edOnV04cIF61dcXJzatGmjo0eP2vS/3/WkGDBgQKqz2EuWLJFhGHrhhRdsar1w4YLatGmj5ORkbdq0SZK0adMmnTlzRqGhobp06ZJN37p16ypv3rx3PaO5d+9eHT9+XN27d7c5q2exWDRy5Mh052vZsqUqVKiQqt3FxcV6FvHmzZuKjo7WhQsXrPth165dqebp1q2bSpQoYX1tZ2en0aNHS7o1lP1Ow4YNs3lds2ZN5cuX755+hr/88osiIyPVvXt3lSlTxmZayrDltGp59dVX5eDgkOYye/XqJS8vL+vrwoULKzAw0HoW7HYpw16z4314O1dXV+v3165d08WLFxUdHa1mzZopLi5Of//9d5aXnbI/xo8fb3ODqYIFC+rll19WbGysNm/ebDOPr6+vunTpYtOW1jHi6empU6dOadu2bVmq7fbtvnLlii5evKirV6+qQYMG+uuvv6xnMm9n5n3l6ekpSVq2bJlu3ryZ7vobNmyo+Ph47dmzR5K0efNmeXt7a8SIEbpx44Z1uHfK/mnYsKGkW2ekP/30Uz355JMqXbq0zTGdmJioJk2aaPv27akuh+jRo4eKFCliat/s3btXkZGRev75562jXiQpT5489/WM3+LFi+Xi4qLOnTun+mxr166d4uPjtXPnTpt5KlWqlOos7p9//qnffvtNzz77rJKTk22WU6pUKZUpUybNz70hQ4bYjCDx8/NTYGDgPR9z93N/xsXF6ZtvvlGLFi3k7u5us6358uVTzZo1bbbV09NT+/fv1++//35P671dcnKyVq1apcDAQHXt2tVmWvfu3VW6dGmtWLHCOgopxZ2ff3Z2dmrYsKGioqJ0+fJlSbKOEtiyZUuqS1gAAP8fQ7iRbUqVKpWqLX/+/JKkixcvWtsOHDigq1evWocRpuXs2bMKCAh4IPWkSGt9Bw4ckCSba/3udPbsWZu+/fv3V//+/TPsm54jR45IkoKCglJNy2hIX3r7KikpSW+//bYWLFigQ4cOKTk52WZ6dHR0qnnKly+fbtud18ZK6e/ntPaxWSn7ITg4ONW04sWLy93dXf/++2+qaRm9Z9Kq08vLS76+vqluypTyh+a9bENaLly4oNdee02rVq1K89rhtH4eZmW0z1La7txnZo+RqVOnqn379goJCVHhwoVVp04dNWzYUF26dEk1NDctkZGRGj9+vNauXZvmNsbExKQa5mzmfTVgwACtXr1aAwcO1KhRo/Tkk08qJCREXbt2td4nQZIaNWok6dY/uWrWrKlNmzapfv36euyxx1S0aFFt2rRJzZo106ZNm+Tl5WUdkp0Sjn744YcMP68uXLhgE9Yy89mV8jNJ67h77LHHTC8nsw4cOKBr166paNGi6fa58/Mqo8/IqVOnaurUqWkuJ62fZXo/32PHjmVY993cz/2Z8hm6ZMmSVNdrp7j9nwLvvfeeunfvrsqVK6t48eKqU6eOmjZtqmeeeSbLNwE8f/68Ll26lOY/TC0Wix577DF98803iomJsblx3N2O9Xz58qlEiRKaMGGCJk2aJF9fXwUHB6t27dpq166d9R9rAAACNLJRRs/vvf2/4cnJyQoMDNTMmTPT7Z/WHwf3q54Uad2tOSVwfvvtt+k+RiTlD5OUvpMnT1aNGjXS7Hv7GYDslN6dpocNG6YZM2aoY8eOGjlypPXGZqdOnVJoaGiqQJ0V6e3ntPZxdknvjt0Z3XE7vTrNvk8yukt4ejdYu3NZTZs21b59+zRw4EBVr15dXl5eypMnj9auXat33303W34emWF225944gkdPnxYmzZt0pYtW7Rt2zYtX75cr732mn744Yc0/+GT4vLly6pbt67i4uI0ePBgVaxYUe7u7rKzs9Mnn3yizz77LM3tNvO+8vb21q5du/Tjjz9q06ZN2r59u8LDwxUeHq7Fixdbr62uUKGCihQpok2bNmnw4MHavXu39aZiDRs21KZNm6zXRTdu3NgaglLqqlu3rvU66bTcGa7/C3d+T05OloeHh5YvX55unzsDZ0afkQMHDrTevPBOLi4uqdpy4nMjLZk5rlO2tVOnTurTp89dl926dWtFRkbqu+++09atW7V161YtWbJE4eHh2rlzZ4b/lMluZo/1sLAw9ezZU+vWrdP27dv11VdfadasWWrbtq1WrlzJowYBQARo5ICAgACdOHFCISEhWX48x4P6JR4QEKD169fLx8cn1Y2C0uor3XrETMoZr8xKCeMHDx5MNS3lTE9mLFy4UHXq1NGyZcts2tetW5fuPH/99Ve6bXcOp75fUm6WtX///lTTTpw4obi4uLveUCu7pZzNiY6OTnXH7SNHjsjR0THD+fft26dffvlF48eP18SJE22mpXWX7My+x2/fZ0888YTNtD///NOmT1ak3N09JSStX79ezZs317Rp09K8g3GK77//XidOnNDHH3+sXr162UybO3dulutJYWdnp9q1a6t27dqSbr0/qlatqpEjR9rcnKxBgwZavny51q5dq8TEROsw7YYNG2rx4sVavXq1Ll++bHPsFixYUJ6enoqJicnyMX03KT+TtI67tN7/2SUgIEAHDx5UlSpVrGcis7qcFPdjH2X1ODC7P28/ru+UMqojRZkyZWRnZ6dr166Z3lZPT0917tzZ+l6MiIjQSy+9pA8//NB6OUpmtrFgwYJyc3NLc1sMw9D+/fvl5eV1T/+sLVGihPr166d+/fopMTFRoaGhWrJkibZt26aQkJAsLxcAHhZcA40H7vnnn1dMTIwmT56c5vS7DXOW/v8dt+9lyKsZ3bt3lySNHj06zWss4+LirHd5btq0qQoXLqy33norzevHEhMT71pvtWrV5Ofnp8WLF9sM8TUMQ2+++Wam68+TJ0+qMzo3b95Md6ilJH366ac2wyiTk5Ot/VPueH6/ValSRf7+/lq8eHGqIZ0p4bNDhw4PpJYUgYGBkmS95j3Fp59+aupRTilngO78eZw+fTrNR6Jl9j2e8rOZMmWKzRndCxcu6MMPP5Snp6c1NGbW+fPnU7VVq1ZN0t2Huae33X/88Ueaj0u617r8/PxUuHDhVHU1atRIN27c0MSJE1W8eHGVLVvW2m4YhvUM8+37yM7OTt26ddO+ffu0cOHCNGsw83mVkapVq6pEiRJatGiRTpw4YW1PTk6+r48Oev755yVJI0aMSPOsr9ntqly5soKDg/Xxxx+n+U8+wzDS/DmZlS9fPsXExJg+M53Z/VmyZEk5ODikOq7/+ecfrVy50qYtf/78atGihdasWaMtW7akuf6U/ZaUlKSYmJhU09M6bjKzjXZ2dmrXrp0OHjyYavTAkiVL9O+//+rpp5/O0j+Z4+LiUv2es7e3t17ClN2XtADAfxVnoPHADR48WJs3b1ZYWJh++OEHNWnSRN7e3jpx4oR+/PFHHTlyJNV//u+UP39+lSlTRp9//rlKly6twoULy9XVVa1bt87WWh9//HG9/vrrGjdunCpUqKAuXbqoWLFiOnfunPbt26evv/5af/31l/z9/ZU3b14tXrxYbdu2Vbly5dSzZ08FBQXp0qVL+vfff7VixQpNmzbN5hmkd8qTJ4/ef/99dejQQY8//rhefPFFeXl5adWqVdYbvWTmD6NnnnlGH330kTp27KgmTZooOjpaS5YsSXNIZYpy5crpiSee0EsvvSRvb2+tWrVK33//vZ599lnVr1/f9LrvRZ48efTRRx+pTZs2ql69uvr166dChQpp3bp1Wrt2rZo2bZrqBjr3W6NGjVS+fHmNHz9e586dU9myZfXzzz/rm2++UZkyZTK8iZV067r2ChUq6M0339Tly5f12GOP6ejRo5o9e7ZKly6dKihXr15ddnZ2mjx5smJiYuTq6qqSJUumOrucokGDBurevbsWL16s+vXrq3379tbHWJ07d06LFi1KdZM8s1LeEzVq1FCxYsUUHR1tDZQ9evTIcN6nnnpKPj4+evXVV3XkyBH5+/vrwIEDmjt3roKDg7V3794s1SRJffv21fHjx9WkSRP5+/srMTFR3377rfbv368BAwbY9E0Jxn/99ZfNmXBfX1+VK1dOf/31l4oWLWr9R0mKyZMn68cff1RoaKhWrVqlOnXqyNXVVcePH9fmzZvl4uKSbpgyI+WYb9++vWrUqKF+/frJy8tLK1assB7z90OHDh3Up08fzZ07V7///rvatWunIkWK6PTp09q7d6/Wrl171/e0dOvzKOURhFWrVlVoaKiCg4N18+ZNRUZGatWqVerRo0eqZ5abVbNmTX377bcaMGCAatWqpTx58lif+52WzO7PfPnyqVevXpo9e7Y6d+6sBg0a6Pjx44qIiFDFihW1e/dum/4RERGqXbu2GjdurK5du1qP02PHjmnt2rV6/PHHtWDBAl26dEk+Pj5q3bq1KleuLB8fH50+fVpz586Vvb299bFhWdnGKVOmaNOmTerSpYu2bNmi4OBg62Os/Pz80v3n9N1s2bJFffr0Ufv27RUYGChPT0/99ddfioiIUNGiRe/bKAwA+M95kLf8xn+T2cdYpTU9vUeEJCYmGrNmzTKeeOIJI1++fIazs7Ph7+9vPP3008YXX3xhqq5du3YZtWrVMvLmzWtIsnkMSGbqyehxQSnWr19vtGjRwsifP7/h4OBg+Pr6GvXr1zfeeecd49q1azZ9Dxw4YPTo0cMoVqyY4eDgYBQoUMCoVq2aMXr0aJvHqmRkzZo1RvXq1Q0nJyejYMGCRu/evY3IyEhDkvHSSy9Z+93tcV5Xr141Ro4caZQoUcJwdHQ0/P39jdGjRxsHDhxINd/t++bDDz80AgMDDUdHR8PPz88YP358qsdDpffYHMO49YikevXqmdrWjB7hsnPnTqNFixaGp6en4ejoaAQEBBgTJ040rl+/btMvo0dMZfSYmvTWnd48hw8fNlq0aGG4uroabm5uRosWLYwDBw6YfozVsWPHjGeffdYoVKiQ4ezsbFSqVMn4+OOP030PLliwwChXrpzh4OBg855O7+eelJRkzJgxwwgODjacnJyMfPnyGfXr17d5JFWK9H5GaS176tSpRr169YxChQoZDg4ORpEiRYxmzZoZGzZsSDV/Wvbt22e0aNHC8PLyMvLmzWvUrFnT+Prrr9P8uWXmffXVV18Zbdu2Nfz8/AwnJyfDy8vLqFGjhhEREZHm49vKli2b5qO7Bg4caH2sVVquXr1qTJkyxahUqZLh4uJiuLq6GmXKlDGee+45m32b0XvtbtavX2/UqFHDcHJyMgoUKGCEhoYa58+fv2+PsUqxdOlSIyQkxPDw8LAe782bNzc++uiju67zdidOnDBefvllo1SpUoajo6Ph6elpBAcHG4MHDzb2799v7ZfZx8FduXLF6NWrl1GoUCHDzs7urp/VKTKzPy9fvmz069fPKFCggOHs7Gw8/vjjxurVq9OtNTo62hg1apQRFBRkODk5GW5ubkZQUJDRp08f6+POrl+/bowePdp44oknjAIFChiOjo5GsWLFjI4dOxq7du0yvY3p1XDixAnjhRdeMHx8fAx7e3vD19fX6NOnj83jDw0jc4/pOnLkiNGvXz+jfPnyhru7u+Hi4mKUKVPGGDhwoHHixIm77nMAeFRYDOMB37EDQJbs2bNHNWrU0LRp0zJ8pFVWbd26VfXr19f8+fMzPEsOAP9VFotFPXr0yPC6fQAAMsI10EAuc/PmzTTv/ppy/V7Tpk1zoiwAAADgkcc10EAuc+zYMdWvX1/PPvusypYtq4sXL2rVqlXavXu3nn/+eVWuXDmnSwQAAAAeSQRoIJfJnz+/6tatq+XLl+vs2bMyDEMBAQF6++239corr+R0eQAAAMAji2ugAQAAAAAwgWugAQAAAAAwgQANAAAAAIAJXAP9fxISErRv3z4VLFhQ9vbsFgAAAKSWmJio8+fPKzg4WM7OzjldDoAHjKT4f/bt26caNWrkdBkAAAD4D9i9e7eqV6+e02UAeMAI0P+nYMGCkm59GPr4+ORwNQAAAMiNoqKiVKNGDevfjgAeLQTo/5MybNvHx0fFihXL4WoAAACQm3HJH/Bo4iZiAAAAAACYkGsC9OHDh9WvXz9VrlxZ9vb2qlChgqn5DMPQtGnTVLx4cbm4uOjJJ5/UTz/9dJ+rBQAAAAA8anJNgN6/f7/WrFmjMmXKqHz58qbne+ONNzRhwgQNGTJE3377rXx8fNSkSRMdOXLkPlYLAAAAAHjU5JoA3bp1a504cULLly9X1apVTc2TkJCgqVOn6tVXX9WQIUPUsGFDff755/L29tbbb799nysGAAAAADxKck2AtrPLfCk//vij4uPj1alTJ2ubo6Ojnn76aa1duzY7ywMAAAAAPOL+07cPPHjwoCQpKCjIpr1cuXI6fvy4rl27JhcXlzTnjY+PV3x8vPV1VFTU/SsUAAAAAPCf958O0DExMXJycpKzs7NNu5eXlwzDUExMTLoBevr06QoPD38QZea44IXBOV0CMmlfj305XQIyiePsv4fj7D8ozCOnK0BmhMXldAUAkO1yzRDuB23o0KE6ceKE9Wv37t05XRIAAAAAIBf7T5+B9vLy0vXr15WQkGBzFjomJkYWi0VeXl7pzuvu7i53d/cHUSYAAAAA4CHwnz4DnXLt899//23TfvDgQetzoQEAAAAAyA7/6QBdq1Ytubu7a9myZda2mzdvasWKFWrRokUOVgYAAAAAeNjkmiHcV69etT566tixY4qPj9fy5cslSfXq1VPBggXVsGFDHTt2TIcPH5YkOTs7a/To0QoLC1PBggUVHBysWbNm6eLFixo2bFiObQsAAAAA4OGTawL0uXPn9Mwzz9i0pbzesmWLQkJClJSUpMTERJs+I0eOlGEYevvtt3X+/HlVrlxZ3333nUqVKvXAagcAAADuB/9Ra3JkvZHTWmZpvrCwMJsn3RQoUEDBwcEKDw9XnTp1rO3Dhw9XZGSkzUjSFG3bttU333yjRYsWqXv37rZ1RUbqscce0/79++Xv75+lGoF7kWuGcPv7+8swjDS/QkJCJElbt25VZGSkzXwWi0WjR4/WiRMnlJCQoJ9++klPPvnkg98AAAAAAHJxcdHOnTu1c+dOffTRR7p48aIaNmyoP//8U5J0+vRpffjhhxo1alSqeaOjo7V+/XpJ0tKlS1NN9/f3V8eOHTVhwoT7uxFAOnJNgAYAAADw32dnZ6eaNWuqZs2a6tixo1avXq3ExERFRERIkmbPnq2yZcuqWrVqqeZdvny5bty4oUaNGmnTpk06d+5cqj4vvPCCPvvsM50/f/6+bwtwJwI0AAAAgPumePHiKliwoI4ePSpJWrRokTp27Jhm36VLl6pMmTKaPn26EhMT9cUXX6TqU7t2beXPnz/NM9TA/UaABgAAAHDfxMfH6+LFi/L19dXhw4cVGRmpp556KlW/kydP6ocfflDXrl0VHBys4ODgNENyyhnujRs3PojyARsEaAAAAADZKjExUYmJiYqMjFTPnj2VlJSkjh07as+ePZKkihUrpprns88+k2EY6tq1qySpa9eu+umnn/Tvv/+m6lupUiXt2rXr/m4EkAYCNAAAAIBsc+XKFTk4OMjBwUElS5bUli1bNHPmTDVt2lRRUVGys7NT/vz5U823dOlSVa1aVYGBgZKkLl26yGKxpHkWukCBArpw4YJu3rx537cHuB0BGgAAAEC2cXFx0Z49e/Tzzz8rMjJSFy5c0MsvvyxJSkhIkIODgywWi808Bw4c0G+//aa2bdsqNjZWsbGx8vDw0OOPP55mgHZycrIuD3iQcs1zoAEAAAD899nZ2enxxx9Pc5q3t7euX7+uhIQEOTs7W9uXLFkiSZowYUKaj6j65ZdfVLVqVevr2NhYOTo6ys3NLZurBzJGgAYAAADwQKQMzz569KjKlStnbf/ss89Us2ZNTZ061ab/jRs31Lp1ay1ZssQmQEdGRiogIODBFA3chgANAAAA4IGoUaOG7O3ttXfvXmuA3rlzp44cOaJx48YpJCQk1TwtW7bU559/rrfeekt2dreuQP35559Vp06dB1k6IIkADQAAAORakdNa5nQJ2crV1VXNmzfXunXr1K1bN0m3bh6WN2/edJ8N3aNHD61cuVJbt25VgwYNdO7cOe3duzfV2WrgQeAmYgAAAACyRVhYmC5fvpxhnz59+uibb77R1atXJUkffPCBrly5ku71zG3btpVhGGrQoIEkadmyZfL391f9+vWzt3jABAI0AAAAgAemVatWCggI0Lx58zI9b3Jyst577z299tprqe7kDTwIDOEGgGyw7+jxnC4BAID/BIvFooiICP3++++Znvf06dMKDQ21Dv8GHjQCNAAAAIAHqnr16qpevXqm5ytWrJjGjBlzHyoCzGEINwAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYwHOgAQAAgNwqzCOH1huXtdnCwhQeHm59XaBAAQUHBys8PFx16tSxtg8fPlyRkZFatmyZJGnBggXq2bOndbqDg4P8/PzUqVMnjR8/Xnnz5pUkXbp0SSVKlNDq1av11FNPZalG4F4QoAEAAABkGxcXF33//feSpJMnT2rSpElq2LChfvnlF1WoUEGnT5/Whx9+qO3bt6ead/369fLw8NCNGze0Z88ejRs3TjExMYqIiJAkubm5aeDAgRozZoy2bdv2QLcLkAjQAAAAALKRnZ2datasaX1do0YN+fv7KyIiQjNnztTs2bNVtmxZVatWLdW81apVU4ECBSRJdevW1cmTJ7VkyRJrgJakXr16aeLEifr9999VqVKl+79BwG24BhoAAADAfVO8eHEVLFhQR48elSQtWrRIHTt2NDWvm5ubbt68adNWokQJ1ahRQwsWLMjuUoG74gw0AAAAgPsmPj5eFy9elK+vrw4fPqzIyMh0r19OSkpSYmKidQj33Llz0wzbtWrV0saNG+936UAqnIEGAAAAkK0SExOVmJioyMhI9ezZU0lJSerYsaP27NkjSapYsWKa8xUpUkQODg5ydXVVSEiIgoKC9O6776bqV6lSJf3111+6dOnSfd0O4E4EaAAAAADZ5sqVK3JwcJCDg4NKliypLVu2aObMmWratKmioqJkZ2en/Pnzpznvpk2btGfPHu3cuVMff/yx/vnnH7Vv317Jyck2/QoUKCDDMHT27NkHsUmAFUO4AQAAAGQbFxcX/fDDD7JYLCpQoID8/PxkZ3frvF1CQoIcHBxksVjSnLdSpUrWm4jVrFlTnp6e6tChg9auXatWrVpZ+zk5OUmSrl27dp+3BrDFGWgAAAAA2cbOzk6PP/64qlWrphIlSljDsyR5e3vr+vXrSkhIMLWscuXKSZL2799v0x4bGytJ6Z7JBu4XAjQAAACAByIwMFCSrHfkvps///xTkqxnpVNERkbKw8NDRYoUyd4CgbtgCDcAAACAB6JGjRqyt7fX3r17rWeXb7d37155eHgoMTFRBw4c0IQJE1S4cGG1b9/ept/PP/+sWrVq2ZzdBh4EAjQAAACQW4XF5XQF2crV1VXNmzfXunXr1K1bt1TTmzVrJunWMPCiRYuqQYMGmjRpkry9va19bt68qU2bNumtt956YHUDKfiXDQAAAIBsERYWpsuXL2fYp0+fPvrmm2909epVa1toaKgMw7B+JSUl6fjx4/r0009VsmRJm/k3bNigxMREderU6b5sA5ARAjQAAACAB6ZVq1YKCAjQvHnzsjT/O++8o1dffVX58uXL5sqAuyNAAwAAAHhgLBaLIiIilDdv3kzPe/nyZdWrV09Dhgy5D5UBd8c10AAAAAAeqOrVq6t69eqZni9fvnyaMGHCfagIMIcz0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATOAxVgAAAEAuFbwwOEfWu6/HvhxZLx5+/v7+atWqlWbOnPlA1vfKK69o1apVioyMzJblcQYaAAAAAAATCNAAAAAA8IBdu3Ytp0tQUlKSbt68mdNl/KcQoAEAAABkm507d6pBgwZydXWVh4eHunbtqnPnzlmnT5s2TWXKlJGzs7MKFiyoRo0a6ejRo9bp169f17hx41SqVCk5OTmpWLFiCg0NtVl+mzZt5OvrK1dXV1WuXFmLFy+2qWHr1q2yWCxau3atnn76abm6usrHx0dTpkxJVe+BAwfUtm1beXh4yNXVVS1bttS///6bqW3et2+fmjZtat3mjh076vjx4zZ9LBaLpk2bppEjR6pIkSIqVKjQXZcbGRkpi8Wi5cuX27S/8sor8vf3t75esGCBLBaLfv31VzVv3lyurq4qW7asFi1aZDNfSEiIWrVqpYULFyowMFBOTk76/fffJUlr1qzRE088IRcXFxUsWFAvvfSSrly5Yp335s2bGj58uIoXLy4nJyf5+PiodevWiouLs/Y5duyYOnbsaN2XTZs21b596V8OsGDBAtnb2+vs2bM27dHR0XJ0dNTs2bOtbXd7X0nS6dOn1aZNG+XNm1dFixbVm2++eZc9nHkEaAAAAADZYufOnQoJCZGHh4e++OILzZkzR3v27FHbtm0lSYsWLdL48eP1wgsvaP369Zo3b54qV66s+Ph46zI6dOig6dOnq1evXlqzZo3eeustmyB37NgxPfXUU5o3b55Wr16tDh066IUXXtDChQtT1dO3b1+VLl1aK1asULdu3TR27FhFRERYpx85ckS1atVSdHS0FixYoKVLl+r8+fNq2LChrl+/bmqbT5w4obp16+rixYv69NNPFRERoV9++UX16tXTpUuXbPq+9957OnTokD7++GN9+umnmdq3Zjz33HNq0qSJVq1apSpVqig0NFQHDhyw6fPzzz/rrbfe0sSJE7V27Vr5+flp+fLlatOmjYKDg7Vy5Uq9+eabWrFihV544QXrfFOnTlVERIRGjRqlDRs2aObMmfL19bXup0uXLikkJES//vqrIiIi9Omnn+rixYuqW7euTpw4kWa97du3l729vZYtW2bT/tVXX0mSnnnmGUl3f1+laNu2rfbs2aOPPvpIs2bN0sqVK1P98+FecRMxAAAAANli1KhRevzxx7VixQpZLBZJUnBwsCpUqKC1a9dq9+7dqlixokaPHm2d5/YQtHHjRq1Zs0ZLly5Vly5drO23f//ss89avzcMQ3Xr1tXJkyc1e/Zs9ejRw6aeBg0a6K233pIkNW3aVGfPntXrr7+uvn37ys7OTuHh4fL29tbGjRvl7OwsSapVq5ZKlSqljz/+WP3797/rNr/77ru6efOmNmzYIG9vb0lSlSpVVL58eS1YsEADBw609vX29rbZN9ltwIAB1ppr1aqlNWvW6KuvvtK4ceOsfaKjo7Vnzx75+flJurUPhw0bps6dO2vevHnWfj4+PmrRooXGjx+vxx57TLt371aTJk1s9kmHDh2s38+fP1/Hjh3T/v37Va5cOUlSvXr1VLx4cc2YMUPvvPNOqno9PDzUokULffbZZxowYIC1/bPPPlOTJk2s+/Nu76sWLVpo/fr1+vnnn7V582Y1aNBA0q0z7n5+ftblZAfOQAMAAAC4Z1evXtX//vc/PfPMM0pKSlJiYqISExMVEBAgPz8/7dmzR1WrVtWvv/6qoUOHaseOHamuv928ebPy5s1rE5LvFBMTo0GDBqlEiRJycHCQg4OD5syZo0OHDqXq2759e5vXHTt21KlTp3Ty5ElJ0oYNG9SmTRvZ29tb6/Xy8lKVKlW0Z88eU9u9fft2NWjQwCakBQUFqVKlStqxY4dN3+bNm9+38CxJTZo0sX7v6uqqEiVKWLc1RcWKFa3hWZIOHTqkY8eOqVOnTtZ9kJiYqHr16snOzk4///yzJKlq1apau3atwsLCtGfPHiUnJ9ssd/v27apQoYI1PEu3/mHQuHHjVPvhdl26dNHOnTutQ96joqK0bds26z9NzLyvJGnXrl3y8PCwhmfpVkBv1KhRpvbh3RCgAQAAANyzmJgYJSUlaciQIdZgm/J1/PhxnThxQqGhoXr33Xf13XffqU6dOipYsKAGDx5svaHWxYsX5ePjk2HIDA0N1WeffaZhw4Zpw4YN2rNnj3r16qWEhIRUfe+8zrhw4cKSboU0Sbpw4YJmzJiRqt7t27enO+w4re1OWe6d64qOjk5z/feLp6enzWtHR8dU++XOGi5cuCDp1j8bbt8HefPmVVJSknU/jB07ViNHjtTChQtVo0YNFSlSROHh4TIMQ1Lm9sPtWrVqJVdXV33++eeSpC+//FLOzs5q166ddbl3e19Jt36mBQsWTHP92Ykh3AAAAADumaenpywWi8aMGWMNP7crUKCA7OzsNHjwYA0ePFinTp3S559/rlGjRqlAgQIaP3688ufPr6ioKBmGkWaITkhI0Lfffqvp06fbDI2+82xoijtvMpVysyofHx9Jt86QtmzZMs2h2m5ubqa229vbO9V6UtYVEBBg05bZs88pw8pv3Lhh0x4TE5Op5WRUQ8qZ85kzZ+qJJ55I1d/X11eS5OTkpLCwMIWFhenw4cP65JNPFBYWplKlSql79+7y9vbW33//nWr+s2fPZjiE2sXFRe3atdPnn3+uESNG6PPPP1fr1q3l6uoqydz7Srr1Mz1//nya689OBGgAAAAA98zV1VVPPvmkDhw4oNdff/2u/YsWLapXX31VS5cutd7oqlGjRnrjjTf05ZdfqnPnzqnmuX79upKTk+Xo6Ghtu3Tpkr755ps017Fy5UqbYdzLly+Xr6+vihUrZl3fn3/+qSpVqihPnjyZ2t4UtWvX1pw5cxQTEyMvLy9J0t9//60//vhDvXr1ytIyUxQqVEgODg42NwK7ceOGtm3bdk/LvV1QUJCKFSumI0eO6OWXXzY1T5kyZTRlyhTNnj3bWlvt2rW1fPly/f333woMDJR0K+hv2rRJffv2zXB5Xbp0UcuWLfXdd9/pp59+0qhRo6zTzL6vatSoobi4OH3//ffWYdxxcXHatGlTtl4DTYAGAAAAkC3eeustNWjQQJ07d9azzz4rLy8vnTx5Uhs3blTPnj312WefycvLSzVr1pSXl5f+97//6ffff7eeAW7UqJFatGihXr166d9//9UTTzyh6OhoLV++XF988YU8PDxUvXp1TZs2TQULFpS9vb2mTZsmDw+PNM8Cf//99xo+fLgaN26sjRs3avHixfrwww9lZ3frStbw8HBVr15dTZs2Vd++fVW4cGGdOXNG27ZtU506dWxuXpaeIUOGaP78+WrSpInGjh2rhIQEjRs3TsWLF7d5/FZW2NnZ6emnn9bMmTNVpkwZFShQQDNnzkz3DH1WWCwWTZ8+XV27dtWVK1fUsmVLubq66tixY1qzZo2mTJmigIAAtWvXTtWqVVOVKlXk6uqq1atXKyYmxhpWe/bsqXfffVctW7bU66+/LmdnZ02ePFn29vZ65ZVXMqyhcePGyp8/v3r16iVPT081b97cZvrd3lchISFq1qyZqlatqueee05vvPGGPD09NXXqVLm7u2fLfkpBgAYAAAByqX090n+Gbm5Uq1Yt7dixQxMmTFDPnj1148YNFStWTA0bNlSZMmVUq1YtzZ07V3PnztXVq1dVqlQpvfvuuzaPS/rqq68UHh6u2bNnKywsTIULF7a5OdbSpUv14osvqkePHsqfP78GDRqky5cv6+23305Vz+zZszVnzhzNmjVLbm5umjRpks1w7TJlymj37t0aN26c+vfvr8uXL8vHx0d169ZVxYoVTW2zn5+ftm3bpmHDhum5555Tnjx51LhxY02fPt30MPCMfPDBB+rbt68GDRokNzc3DR8+XIGBgVq1atU9LzvFM888I09PT02ePNn6eC1/f381a9bMeg3xU089pS+//FLvvPOOEhMTFRgYqCVLllhv0uXm5qatW7dq6NCh6tu3r5KSkvTUU0/phx9+sLlpWVocHBzUsWNHzZ49Wy+88ILNCAPp7u8r6dY/Ar7++mv169dPL774ory8vDRw4ECdPXs2W/eVxUi56vsRd/LkSfn5+enEiRPWIR0Pi+CFwTldAjLpv/bLEpLCPHK6AmRWWFxOV4DM4jj7b3lIj7GH+W/Gh8nWrVtVv3597dmzR48//nhOl4OHCHfhBgAAAADABIZwAwAAAEAakpOT073DtyTlyZPnnq5FTkxMTHeaxWLJ8o3NcP9wBhoAAADAQyUkJESGYdzz8O2JEyemevbw7V8LFy7M8rIjIyMzXHbDhg3vqXbcH5yBBgAAAIA09O3bV61atUp3esmSJbO8bF9fX+3Zsyfd6dlxAzJkPwI0AAAAAKTB19dXvr6+92XZjo6O3ODsP4gh3AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEzINQH64MGDaty4sVxdXVWkSBGNGDFCN27cuOt8Fy9eVL9+/VS8eHG5urqqQoUKioiIeAAVAwAAAAAeJfY5XYAkxcTEqEGDBipbtqxWrFihU6dOaejQobp69apmzpyZ4bzPPPOMDh48qClTpqh48eJau3atXnrpJeXJk0d9+vR5QFsAAAAAAHjY5YoAHRERofj4eK1cuVLe3t6SpMTERPXv319jxoyRr69vmvOdOXNGW7Zs0fz58xUaGipJatCggfbs2aPPP/+cAA0AAAAAyDa5Ygj3unXr1KhRI2t4lqROnTopOTlZGzZsSHe+mzdvSpI8PDxs2j08PGQYxv0pFgAAAADwSMoVZ6APHjyoXr162bR5enrKx8dHBw8eTHc+Pz8/NWnSRFOmTFFgYKD8/Py0bt06bdiwQUuWLMlwnfHx8YqPj7e+joqKureNAAAAAAA81HJFgI6JiZGnp2eqdi8vL0VHR2c474oVK9S5c2c99thjkqQ8efLogw8+UIcOHTKcb/r06QoPD89yzQAAAACAR0uuCNBZZRiGevbsqX/++UdLly6Vj4+PNm7cqFdeeUVeXl569tln05136NCh6t27t/V1VFSUatSo8SDKBgAAAAD8B+WKAO3l5aW4uLhU7TExMTbXRd9pzZo1WrZsmf744w8FBwdLkkJCQnTu3Dm9+uqrGQZod3d3ubu733vxAAAAAIBHQq64iVhQUFCqa53j4uIUFRWloKCgdOf766+/lCdPHlWoUMGmvUqVKjp9+rSuXr16X+oFAAAAADx6ckWAbt68uTZt2qTY2Fhr27Jly2RnZ6cmTZqkO1+JEiWUlJSkP/74w6Z97969KlSokPLmzXu/SgYAAAAAPGJyRYDu16+f3Nzc1K5dO23YsEHz58/X8OHD1a9fP5tnQDds2FBlypSxvm7RooWKFy+ujh076tNPP9XmzZs1cuRILViwQAMHDsyJTQEAAAAAPKRyzTXQmzdv1sCBA9WuXTu5ubmpd+/emjx5sk2/pKQkJSYmWl+7ublp8+bNGjt2rEaOHKnY2FiVLFlS06dP14ABAx70ZgAAAAAAHmK5IkBLUrly5bRp06YM+2zdujVVW5kyZfTFF1/cp6oAAAAAALglVwzhBgAAAAAgtyNAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEywz+kCAAAAzPBPWJrTJSATInO6AAC4DzgDDQAAAACACQRoAAAAAABMyFKArlmzpubNm6fLly9ndz0AAAAAAORKWQrQJUqU0MCBA1WkSBH17NlT27dvz+66AAAAAADIVbIUoL/44gudPn1aU6dO1R9//KF69eopICBA06ZNU1RUVHbXCAAAAABAjsvyNdBeXl4aOHCg9u7dq19//VXNmzfXO++8oxIlSqh169ZatWqVkpOTs7NWAAAAAAByTLbcRMzPz0+lSpVS4cKFlZiYqH/++UcdOnRQ2bJl9dNPP2XHKgAAAAAAyFH3FKC/++47de7cWUWLFtXkyZPVpEkT7d+/XwcPHtShQ4dUtmxZ9erVK7tqBQAAAAAgx9hnZabx48dr0aJFOnnypEJCQjR//nw9/fTTcnR0tPYpXbq0XnvtNdWpUyfbigUAAAAAIKdkKUDPmzdPoaGh6t27t0qXLp1uv6CgIH3yySdZLg4AAAAAgNwiSwH6xIkTsre/+6ze3t7q0aNHVlYBAAAAAECukqVroJ2cnLR79+40p+3du1d58uS5p6IAAAAAAMhtsnQG2jCMdKclJiYSoAE8cvwTluZ0CcikyJwuAAAA/OeYDtBnzpzR6dOnra///vvvVMO4ExIS9Mknn6hEiRLZVyEAAAAAALmA6QA9e/ZshYeHy2KxyGKxKDQ0NFUfwzCUJ08ezZo1KztrBAAAAAAgx5kO0KGhoQoJCZFhGGrQoIE+/PBDlS9f3qaPo6OjAgIClD9//mwvFAAAAACAnGQ6QJcoUcI6NHvLli2qWrWq3Nzcsq2QgwcPauDAgfrxxx/l5uam559/Xq+//rrNs6XTc+rUKY0ZM0Zr167V5cuX5e/vr3Hjxum5557LtvoAAAAAAI+2LN1ErF69etlaRExMjBo0aKCyZctqxYoVOnXqlIYOHaqrV69q5syZGc4bFRWlJ598UoGBgZozZ47c3d21f/9+Xb9+PVtrBAAAAAA82kwHaHd3d23ZskXVqlWTm5ubLBZLun0tFovi4uJMFxEREaH4+HitXLlS3t7ekm7dzbt///4aM2aMfH190513xIgR8vPz0/r16613/27YsKHpdQMAAAAAYIbpAP3qq6/Kx8fH+n1GATqz1q1bp0aNGlnDsyR16tRJ/fr104YNG9K8YZkkxcfH68svv9Qnn3zCo7MAAAAAAPeV6QA9YcIE6/dhYWHZWsTBgwfVq1cvmzZPT0/5+Pjo4MGD6c73yy+/6MaNG3JwcFC9evX0448/Kn/+/OrRo4def/11OTg4pDtvfHy84uPjra+joqLufUMAAAAAAA8tu5wuQLp1DbSnp2eqdi8vL0VHR6c735kzZyRJvXv31uOPP64NGzZoyJAhmjFjhl577bUM1zl9+nT5+flZv2rUqHFP2wAAAAAAeLiZPgPdpk0b0wu1WCz6+uuvs1RQZiQnJ0uSGjVqpHfeeUeSVL9+fV26dElvv/22XnvtNbm4uKQ579ChQ9W7d2/r66ioKEI0AAAAACBdpgN0fHx8tl73fDsvL680bzoWExNjc110WvNJUoMGDWzaGzZsqMmTJ+vw4cMKDg5Oc153d3e5u7vfQ9UAAAAAgEeJ6QC9devW+1ZEUFBQqmud4+LiFBUVpaCgoHTnK1++fIbLTUhIyJb6AAAAAADIFddAN2/eXJs2bVJsbKy1bdmyZbKzs1OTJk3Sna9EiRIKDg7Wpk2bbNo3btwoFxeXuwZsAAAAAADMMn0Gevr06XruuedUuHBhTZ8+PcO+FotFQ4YMMV1Ev3799MEHH6hdu3YaM2aMTp06peHDh6tfv342z4Bu2LChjh07psOHD1vbJk+erLZt2+qVV15Ry5YttWfPHr399tsaMWKEXF1dTdcAAAAAAEBGTAfoYcOGqXbt2ipcuLCGDRuWYd/MBmgvLy9t3rxZAwcOVLt27eTm5qbevXtr8uTJNv2SkpKUmJho09a6dWt99tlnmjRpkj766CP5+PgoPDxco0aNMr1+AAAAAADuxnSATrnj9Z3fZ5dy5cqlGop9p/Suw+7cubM6d+6c7TUBAAAAAJAiV1wDDQAAAABAbmf6DPSdbt68qQULFmjXrl2KioqSj4+PatasqR49esjBwSE7awQAAAAAIMdl6Qz0oUOHFBgYqJdeekm//vqrDMPQr7/+qn79+ikgIEB///13dtcJAAAAAECOytIZ6BdffFGOjo76+++/Vbp0aWv74cOH1bp1a7300kv6/vvvs61IAAAAAAByWpbOQO/atUuTJ0+2Cc+SVKZMGU2cOFE//fRTthQHAAAAAEBukaUA7evrK4vFkuY0i8WiIkWK3FNRAAAAAADkNlkK0BMmTND48eN15MgRm/YjR45owoQJmjBhQrYUBwAAAABAbmH6Gug2bdrYvI6NjVVgYKAqVKigQoUK6dy5c/rzzz9VuHBhffXVV+rRo0e2FwsAAAAAQE4xHaDj4+Nthm0HBAQoICBAknTjxg15enqqdu3akqRLly5lc5kAAAAAAOQs0wF669at97EMAAAAAABytyxdAw0AAAAAwKMmS8+BlqTk5GR9//33OnTokBISElJNHzp06D0VBgAAAABAbpKlAH3mzBmFhITo0KFDslgsMgxDkmyukSZAAwAAAAAeJlkawj106FDlz59fJ06ckGEY2rVrlyIjIzVp0iSVLVtWhw4dyu46AQAAAADIUVk6A/3DDz/o/fffl4+PjyTJMAwVL15cY8aMkWEYGjBggNatW5ethQIAAAAAkJOydAY6Li5OBQsWlJ2dndzd3XXu3DnrtCeffFI7duzItgIBAAAAAMgNshSgS5YsqaioKEnSY489psWLF1unrVy5Ut7e3tlTHQAAAAAAuUSWhnC3bNlSGzZsUKdOnTRu3Di1bdtWhQoVkoODg86cOaM33ngju+sEAAAAACBHZSlAT5061fp98+bN9b///U8rV65UQkKCGjdurObNm2dbgQAAAAAA5AZZfg707apXr67q1atnx6IAAAAAAMiV7ilAb9y4Ubt27VJUVJR8fHxUs2ZNNWrUKLtqAwAAAAAg18hSgD5z5ow6dOignTt3ytvbW4UKFdK5c+cUHR2tmjVrasWKFSpSpEh21woAAAAAQI7J0l24+/XrpyNHjmjz5s26cOGC/vrrL124cEGbNm1SZGSkXnrppeyuEwAAAACAHJWlAL1x40a9+eabql+/vk17gwYNNG3aNG3YsCFbigMAAAAAILfIUoD28vKSl5dXutM8PT3vpSYAAAAAAHKdLAXoV155RdOmTdPly5dt2i9duqQ33nhDgwcPzpbiAAAAAADILUzfRGzQoEE2ryMjI1WsWDHVr1/fehOxLVu2yM3NTSdPnsz2QgEAAAAAyEmmA/Tq1attXjs4OMjLy0u//fabtS1lWPe3336r999/P3sqBAAAAAAgFzAdoI8ePXo/6wAAAAAAIFfL0jXQAAAAAAA8akyfgb7TqVOnNGPGDO3YsUPR0dHy9vZWnTp1NHjwYBUtWjQ7awQAAAAAIMdl6Qz0n3/+qeDgYEVERMjHx0cNGjSQj4+PIiIiVLFiRe3fvz+76wQAAAAAIEdl6Qz0sGHDVLp0aW3YsMHmedAxMTFq0qSJhg0bpnXr1mVbkQAAAAAA5LQsnYHesWOHxo0bZxOepVt34R47dqx27NiRLcUBAAAAAJBbZClA29vb6/r162lOu379uvLkyXNPRQEAAAAAkNtkKUA3atRIY8eO1aFDh2za//nnH40fP16NGzfOluIAAAAAAMgtshSgp0+frsTERJUvX16VK1dW06ZNVaVKFZUrV06JiYmaPn16dtcJAAAAAECOylKALl68uPbt26fp06crICBAycnJCggI0Lvvvqs//vhDfn5+2V0nAAAAAAA5KtN34U5ISFCnTp00bNgwDRo0SIMGDbofdQEAAAAAkKtk+gy0s7Oztm3bpqSkpPtRDwAAAAAAuVKWhnA3adJEGzZsyO5aAAAAAADItTI9hFuSevbsqRdffFGXLl1SixYtVLhwYVksFps+VatWzZYCAQAAAADIDbIUoFu1aiVJmjVrlmbNmmUTng3DkMViYYg3AAAAAOChkqUAvWXLluyuAwAAAACAXC1LAbpevXrZXQcAAAAAALlalgJ0ikOHDmn37t2KioqSj4+PqlevrsDAwOyqDQAAAACAXCNLAfry5cvq27evvvzySyUnJ8vZ2VkJCQmys7PTM888o7lz5ypfvnzZXSsAAAAAADkmS4+xGjhwoL799lvNnTtXcXFxunr1quLi4jRnzhytWbNGAwcOzO46AQAAAADIUVkK0F999ZXeeOMN9ezZU25ubpIkNzc39erVS9OmTdOKFSuytUgAAAAAAHJalgK0s7OzSpYsmea0UqVKycHB4Z6KAgAAAAAgt8lSgO7Zs6c++ugjGYZh024YhmbNmqWePXtmS3EAAAAAAOQWWbqJmLe3t3755ReVLVtWrVu3VqFChXTu3DmtXr1a169fV+3atTV9+nRJksVi0ZAhQ7K1aAAAAAAAHrQsBejRo0dbv3/vvfdSTR81apT1ewI0AAAAAOBhkKUAnZycnN11AAAAAACQq2XpGmgAAAAAAB41BGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYkKUAvWjRIl28eDHNadHR0Vq0aNE9FQUAAAAAQG6TpQDds2dP/fvvv2lOO3r0qHr27HlPRQEAAAAAkNtkKUAbhpHutJiYGLm5uWW5IAAAAAAAciN7sx3XrVundevWWV+/8847Kly4sE2fhIQEff/996pcuXK2FQgAAAAAQG5gOkAfOnRIq1evliRZLBZt375dTk5ONn0cHR1VoUIFTZkyJXurBAAAAAAgh5kO0IMHD9bgwYMlSSVLltSqVatUqVKl+1YYAAAAAAC5iekAfbujR49mdx0AAAAAAORqWQrQknTq1CnNmDFDO3bsUHR0tLy9vVWnTh0NHjxYRYsWzc4aAQAAAADIcVm6C/eff/6p4OBgRUREyMfHRw0aNJCPj48iIiJUsWJF7d+/P7vrBAAAAAAgR2XpDPSwYcNUunRpbdiwQV5eXtb2mJgYNWnSRMOGDbO5YzcAAAAAAP91WToDvWPHDo0bN84mPEuSl5eXxo4dqx07dmRLcQAAAAAA5BZZCtD29va6fv16mtOuX7+uPHny3FNRAAAAAADkNlkK0I0aNdLYsWN16NAhm/Z//vlH48ePV+PGjbOlOAAAAAAAcossBejp06crMTFR5cuXV+XKldW0aVNVqVJF5cqVU2JioqZPn57ddQIAAAAAkKOyFKCLFy+uffv2afr06QoICFBycrICAgL07rvv6o8//pCfn1921wkAAAAAQI7K8nOg8+XLp0GDBmnQoEHZWQ8AAAAAALlSls5Ap9i/f79mz56tqVOnas6cOff0/OeDBw+qcePGcnV1VZEiRTRixAjduHEjU8uYMWOGLBaLWrVqleU6AAAAAABIS5bOQF+/fl3du3fXV199JcMw5OTkpOvXr8tisahjx45avHixHB0dTS8vJiZGDRo0UNmyZbVixQqdOnVKQ4cO1dWrVzVz5kxTyzhz5ozCw8NVqFChrGwSAAAAAAAZytIZ6DFjxmjNmjWKiIhQbGysrl27ptjYWEVERGjNmjUaM2ZMppYXERGh+Ph4rVy5Uk2bNlWvXr305ptvKiIiQqdPnza1jBEjRqhNmzYqV65cVjYJAAAAAIAMZSlAf/7555o6dar69Okjd3d3SZK7u7v69OmjyZMn67PPPsvU8tatW6dGjRrJ29vb2tapUyclJydrw4YNd51/x44dWrVqlaZNm5a5DQEAAAAAwKQsDeGOjo5WUFBQmtOCgoIUHR2dqeUdPHhQvXr1smnz9PSUj4+PDh48mOG8SUlJGjBggMaOHSsfHx/T64yPj1d8fLz1dVRUVKZqBgAAAAA8WrJ0BjooKEiLFy9Oc9qnn36abrhOT0xMjDw9PVO1e3l53TWMz5o1S1euXNGQIUMytc7p06fLz8/P+lWjRo1MzQ8AAAAAeLRk6Qz0+PHj9cwzzygyMlIdOnRQ4cKFde7cOS1fvlw7d+7UsmXLsrvONJ07d06vvfaaFi1alKmblknS0KFD1bt3b+vrqKgoQjQAAAAAIF1ZCtBPP/20Vq5cqfDwcL366qsyDEMWi0WVK1fWypUr1bp160wtz8vLS3FxcanaY2JibK6LvtNrr72mihUrqk6dOoqNjZUkJSYmKjExUbGxscqXL5/s7dPeRHd3d+v12wAAAAAA3E2WArQktWnTRm3atNGVK1cUGxsrT09Pubq6SpIuXbokNzc308sKCgpKda1zXFycoqKiMhwOfvDgQf3www/y8vJKNc3Ly0vr1q1Ts2bNTNcBAAAAAEB6shygU7i6ulqD87lz5zRjxgx99NFHiomJMb2M5s2ba8qUKdYgLknLli2TnZ2dmjRpku58M2bMsJ55TvHKK6/IxcVFU6dOVcWKFTO9PQAAAAAApCVTAfqnn37SwoULdfz4cZUqVUqDBg1S2bJldfbsWU2cOFHz58/XzZs39eyzz2aqiH79+umDDz5Qu3btNGbMGJ06dUrDhw9Xv3795Ovra+3XsGFDHTt2TIcPH5YkVa5cOdWyPD09lS9fPoWEhGSqBgAAAAAAMmI6QK9bt06tW7eWYRgqWLCgNm7cqM8++0yLFy/W888/r5iYGHXp0kXjx49XQEBAporw8vLS5s2bNXDgQLVr105ubm7q3bu3Jk+ebNMvKSlJiYmJmVo2AAAAAADZwXSAnjJliqpUqaKvv/5avr6+unz5snr37q22bdvKx8dH69evV7Vq1bJcSLly5bRp06YM+2zduvWuyzHTBwAAAACAzDL9HOgDBw5o7Nix1iHV+fLl05tvvqnExERNmzbtnsIzAAAAAAC5nekAHR0dbXM9siQVLVpUklS2bNnsrQoAAAAAgFzGdICWJIvFkmZ7njx5sqUYAAAAAAByq0zdhbt+/fqys0uduevUqWPTbrFYFBcXd+/VAQAAAACQS5gO0BMmTLifdQAAAAAAkKsRoAEAAAAAMCFT10ADAAAAAPCoIkADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMCEXBOgDx48qMaNG8vV1VVFihTRiBEjdOPGjQzniYqK0ogRI1S5cmW5ubmpWLFi6tq1q44dO/aAqgYAAAAAPCrsc7oASYqJiVGDBg1UtmxZrVixQqdOndLQoUN19epVzZw5M9359u7dqxUrVqhXr16qWbOmLly4oEmTJqlGjRr6888/VbBgwQe4FQAAAACAh1muCNARERGKj4/XypUr5e3tLUlKTExU//79NWbMGPn6+qY5X+3atXXw4EHZ2///zahVq5aKFy+uRYsW6dVXX30g9QMAAAAAHn65Ygj3unXr1KhRI2t4lqROnTopOTlZGzZsSHc+T09Pm/AsScWKFVPBggV1+vTp+1YvAAAAAODRkyvOQB88eFC9evWyafP09JSPj48OHjyYqWUdOnRI586dU7ly5TLsFx8fr/j4eOvrqKioTK0HAAAAAPBoyRUBOiYmRp6enqnavby8FB0dbXo5hmFo0KBB8vX1VZcuXTLsO336dIWHh2e2VAAAAADAIypXDOHOLmFhYdq8ebMWLVokV1fXDPsOHTpUJ06csH7t3r37AVUJAAAAAPgvyhVnoL28vBQXF5eqPSYmxua66IzMnTtXEydO1Mcff6yGDRvetb+7u7vc3d0zXSsAAAAA4NGUK85ABwUFpbrWOS4uTlFRUQoKCrrr/CtXrtRLL72kiRMnprqWGgAAAACA7JArAnTz5s21adMmxcbGWtuWLVsmOzs7NWnSJMN5t27dqi5duqhPnz4aP378fa4UAAAAAPCoyhUBul+/fnJzc1O7du20YcMGzZ8/X8OHD1e/fv1sngHdsGFDlSlTxvr6wIEDateuncqWLavu3bvrp59+sn79+++/ObEpAAAAAICHVK65Bnrz5s0aOHCg2rVrJzc3N/Xu3VuTJ0+26ZeUlKTExETr6127dikuLk5xcXF66qmnbPr26NFDCxYseBDlAwAAAAAeAbkiQEtSuXLltGnTpgz7bN261eZ1aGioQkND719RAAAAAAD8n1wxhBsAAAAAgNyOAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAkEaAAAAAAATCBAAwAAAABgAgEaAAAAAAATCNAAAAAAAJhAgAYAAAAAwAQCNAAAAAAAJhCgAQAAAAAwgQANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AAAAAAAmEKABAAAAADCBAA0AAAAAgAm5JkAfPHhQjRs3lqurq4oUKaIRI0boxo0bd53PMAxNmzZNxYsXl4uLi5588kn99NNPD6BiAAAAAMCjJFcE6JiYGDVo0EA3btzQihUrNGXKFM2ZM0dDhw6967xvvPGGJkyYoCFDhujbb7+Vj4+PmjRpoiNHjjyAygEAAAAAjwr7nC5AkiIiIhQfH6+VK1fK29tbkpSYmKj+/ftrzJgx8vX1TXO+hIQETZ06Va+++qqGDBkiSapTp44CAgL09ttva9asWQ9sGwAAAAAAD7dccQZ63bp1atSokTU8S1KnTp2UnJysDRs2pDvfjz/+qPj4eHXq1Mna5ujoqKefflpr1669rzUDAAAAAB4tueIM9MGDB9WrVy+bNk9PT/n4+OjgwYMZzidJQUFBNu3lypXT8ePHde3aNbm4uKQ5b3x8vOLj462vT5w4IUmKiorK0jbkZjejb+Z0CcikkydP5nQJyKTE+As5XQIyiePsv4fj7L/lYT3GUv5WTExMzOFKAOSEXBGgY2Ji5Onpmardy8tL0dHRGc7n5OQkZ2fnVPMZhqGYmJh0A/T06dMVHh6eqr1GjRqZKx64D/yG+uV0CcBDz++jnK4AeLg97MfY+fPn5e/vn9NlAHjAckWAzglDhw5V7969ra8TEhJ04sQJlSxZUvb2j+xu+U+JiopSjRo1tHv3bvn4+OR0OcBDh2MMuP84zv57EhMTdf78eQUHB+d0KQByQK5Iil5eXoqLi0vVHhMTY3NddFrzXb9+XQkJCTZnoWNiYmSxWOTl5ZXuvO7u7nJ3d7dpK1OmTBaqR07z8fFRsWLFcroM4KHFMQbcfxxn/y2ceQYeXbniJmJBQUGprnWOi4tTVFRUquub75xPkv7++2+b9oMHD1qfCw0AAAAAQHbIFQG6efPm2rRpk2JjY61ty5Ytk52dnZo0aZLufLVq1ZK7u7uWLVtmbbt586ZWrFihFi1a3M+SAQAAAACPmFwRoPv16yc3Nze1a9dOGzZs0Pz58zV8+HD169fP5hnQDRs2tBlm7ezsrNGjR+vtt9/We++9p++//15dunTRxYsXNWzYsJzYFDxA7u7umjBhQqqh+ACyB8cYcP9xnAHAf4vFMAwjp4uQpAMHDmjgwIH68ccf5ebmpueff16TJ0+Wo6OjtU9ISIgiIyMVGRlpbTMMQ9OmTdOsWbN0/vx5Va5cWe+++66efPLJHNgKAAAAAMDDKtcEaAAAAAAAcrNcMYQbAAAAAIDcjgANAAAAAIAJBGgAAAAAAEwgQAMAAAAAYAIBGvckLCxMFosl1VeFChUkSRaLRW+//fY9r+e3335TWFiYrl69es/LMmvr1q2yWCz6+eefrW1hYWH68ccfH1gNePjcfszY2dnJw8NDwcHBGjBggA4cOJCqf0hISJrH2IABA6x90ppusVi0fPlySf//vZzy5ebmpipVquiTTz5RZu8juWDBAlksFl24cOHedkQ6YmNjNWjQIPn6+srZ2VmlS5fWO++8k27/V155JdX+wIMVFhamfPny5XQZdxUbG6uwsDD99ddfNu2RkZE2x0tultbvpdwsvd+Z2fW3AQDkBPucLgD/fS4uLvr+++9t2vLmzStJ2rlzp0qUKHHP6/jtt98UHh6uAQMGWJd9v1WtWlU7d+5UuXLlrG3h4eHKly+fatWq9UBqwMPp9mPm0qVL2rdvn+bMmaO5c+fq448/Vrdu3Wz6P/XUU6n+2CxSpIjN64EDB6pr1642bQEBATav58+fr6CgIMXGxurjjz/WCy+8oJs3b+rFF1/Mrk27J1euXFFISIjs7e317rvvqnDhwjp06JDi4+PT7L9v3z598sknPD8XpsTGxio8PFwVKlRQ+fLlre0+Pj7auXNnquMF9y6935nZ9bcBAOQEAjTumZ2dnWrWrJnmtPTaUyQlJSk5OVkODg73o7R74u7uftf6gay485hp3Lix+vfvr5YtW+qFF15QrVq1VKpUKet0T0/Pu74Xixcvftc+FSpU0OOPP25dZ7ly5fTBBx/kmgA9bdo0Xbp0SX/88YdcXV0l3ToDn54BAwZoyJAhWrhw4QOqEA8jJycnPutNunbtmlxcXO55OexvAP9lDOHGfXXnMK2QkBC1atVKCxcuVGBgoJycnPT7778rNjZWffr0UdGiReXs7Cw/Pz89++yzkm4NGe3Zs6ckqWDBgrJYLPL3989wvQcOHFDbtm3l4eEhV1dXtWzZUv/++691+iuvvCIvLy+dPHnS2va///1PefLk0ezZsyWlHipnsVgkScOHD7cOhd26des97yNAkpydnfXBBx/oxo0bmjdv3n1fX548eVSlShUdPXo0S/OfOHFCzZs3l6urq8qWLatFixbdc03z5s1Tr169rOE5I0uWLNHRo0c1cuTIe14v7r99+/apadOmcnV1lYeHhzp27Kjjx4/b9LFYLHrzzTcVFhamwoULq0CBAurZs6euXLli02/Hjh2qUqWKnJ2dVbFiRW3cuFGVK1dWaGhouuuPjIxUyZIlJUnPPPOM9TM8MjIyzSHc/v7+GjBggGbMmCE/Pz+5ubkpNDRU169f12+//aannnpKrq6uqlGjhvbt22ezLsMw9PbbbysgIEBOTk4qVaqU3n333bvuo507d6pNmzby9fWVq6urKleurMWLF6fZ99y5c3r66afl6uoqHx8fTZkyxWb6yZMn1alTJxUuXFjOzs4qWbKkhgwZYtPnhx9+UK1ateTi4qICBQqoV69eio6OttlnFotFCxYsUJ8+fZQ/f37VqFFD0v//Xb5o0SKVLl1aLi4uCgkJ0d9//22dP6PfmWkN4Z49e7b17wJ/f3+9/vrrSk5Otk5PuXzk119/zfbPHgDIDAI0skViYqLNV0bXVf7888966623NHHiRK1du1Z+fn4aOnSovv32W02ZMkXfffed3nrrLTk5OUmSWrZsqXHjxkmS1q9fr507d2rlypXpLv/IkSOqVauWoqOjtWDBAi1dulTnz59Xw4YNdf36dUnS1KlTVaRIEfXs2VOGYejKlSvq0aOHmjZtmu7ZuJ07d0q6NVR2586d2rlzp6pWrZql/QWkpXz58ipatKj1vZbCMIxUx9idkpOTbaYnJSXddX1Hjx6Vr69vlmp97rnn1KRJE61atUpVqlRRaGiozTXcd9aT3leKyMhInTlzRgUKFFCbNm3k5OQkb29v9enTR5cvX7ZZ96VLlzR8+HC99dZbD+ySDmTdiRMnVLduXV28eFGffvqpIiIi9Msvv6hevXq6dOmSTd+ZM2fqn3/+0cKFC/Xaa69p6dKlmjRpknV6VFSUmjVrJjc3N3355ZcaPny4XnrpJZ06dSrDGnx8fLRixQpJ0pQpU6yf4T4+PunO8/XXX+u7777T7NmzNXXqVC1dulQDBw5U9+7d1bt3by1btkzXrl3TM888YxP0Bg8erNdee009evTQmjVrFBoaqpEjRyoiIiLDGo8dO6annnpK8+bN0+rVq9WhQwe98MILaY6w6Nu3r0qXLq0VK1aoW7duGjt2rM3yn3/+ef3xxx96//33tX79eoWHh9t8Juzdu1eNGzeWm5ubli1bpjfeeEOrV69W8+bNU312jB49WoZh6LPPPtNbb71lbf/ll180depUTZs2TYsWLVJUVJSaNm1q/T2bmd+ZH3zwgfr166emTZtq9erVCg0NVVhYmEaMGJGq790+ewDgvjOAezBhwgRDUqqvxYsXG4ZhGJKMt956y9q/Xr16hoODg3H8+HGb5Tz22GPG0KFD013P/PnzDUnG+fPn71rT888/b5QqVcq4du2ate3cuXNGvnz5jA8//NDatnv3bsPe3t547733jL59+xre3t7G6dOnrdO3bNliSDL27Nljbbtze4DMmjBhguHq6pru9Jo1axpBQUHW1/Xq1UvzGDtx4oS1T1rTS5cubZ2e8l7+6aefjJs3bxoXLlwwJk+ebEgyRo8enan6U47F24+ly5cvG3nz5jUmTZpks51p1XXnV4qdO3cakox8+fIZzz//vLFp0ybjo48+Mjw8PIxnn33WpoahQ4caderUsb4uUaKE8fLLL2dqO5B97vaeHjJkiOHq6mpcvHjR2nbgwAHDYrEY77//vrVNklGjRg2beXv06GHzXh4+fLjh4eFhxMfHW9u2b99uSDJ69OiRYZ1Hjx41JBnLli27a3uJEiWMYsWKGdevX7e2dejQwZBkrFu3ztq2evVqQ5Lx22+/GYZhGIcPHzYsFosxe/Zsm3WMHDnSKFKkiJGUlJRhjSmSk5ONmzdvGn379jWefPJJa3vKsdy9e3eb/t27dzeKFi1qXb6rq6vNvr1T+/btjeLFixs3btywtn333XeGJOObb76x2S/NmjVLNX+9evUMOzs749ChQ9a2f/75x7CzszMiIiKsben9zry9PTEx0ShQoECq43z06NGGo6OjceHCBcMwzH/2AMD9xjXQuGcuLi764YcfbNpuv37zThUrVpSfn59NW9WqVbVgwQL5+PioWbNm1rt4Z8WGDRv07LPPyt7e3nqGy8vLS1WqVNGePXus/apXr64xY8Zo+PDhunHjhr744osMz0YAD4JhGNahjylq166dagho4cKFbV4PHjzY5uZjzs7OqZZ9+3WH9vb26tevn1577bUs1dmkSRPr966uripRooTNJRF9+/ZVq1atTC8v5QxeQECA9Yxbw4YNZW9vrz59+mjy5MkqVaqU9u/frw8//FA//fRTlurGg7d9+3Y1aNBA3t7e1ragoCBVqlRJO3bs0MCBA63tjRs3tpm3fPny+vzzz62v9+zZo/r168vNzc3aVrt2bZtlG4ZhcxbVYrEoT548ma67Xr16cnR0tL4OCAiQnZ2dGjRoYNMm3TrLXqlSJW3atEmS1KFDB5sRFo0aNdIbb7yhEydOpHvzrJiYGE2YMEFff/21Tp06Zd2G/Pnzp+rbvn17m9cdO3bU4sWLdfLkSRUvXlxVq1bV22+/LXt7ezVu3FhlypSx6b99+3Z16dLF5v4jTZo0kaenp3bs2KHWrVtb21u2bJlmvRUqVFDZsmWtr8uUKaNKlSpp165dmbqvwsGDB3XhwgU988wzNu2dO3fW1KlTtXv3bjVv3tymzhRpffYAwP1GgMY9s7Ozs96YyIw7//CXbg3f8vb21jvvvKPhw4fLz89Po0eP1ksvvZTpei5cuKAZM2ZoxowZqabd/seQJHXp0kUTJ06Ur6+vnn766UyvC8huJ0+eTHU3YA8Pj7seY8WKFbtrn0WLFqlcuXJyd3eXv79/quMhMzw9PW1eOzo6KiEhwfq6SJEiKlSokOnleXl5SZLq169v096wYUNJ0v79+1WqVCm9+uqreuaZZ+Tv76/Y2FhJt8L3jRs3FBsbK3d3d9nZcXVSbhITE6PKlSunai9cuLDNNbdS2u+rlCHB0q0h3LeHthS3v9e2bdtm8z6qV69elu5XkVYtLi4uNsdNyvcp7/0LFy7IMAwVKFAgzWVmFKBDQ0P1448/6rXXXtNjjz0md3d3ffTRR/riiy9S9b3z2Er5vRoVFaXixYvriy++0NixYzV27Fj1799fgYGBmjJlivX3XExMTJq/i9P6maTVL60aUvpGRUWl2T89MTExaa4n5bWZ98jtnz0AcL8RoPHA3Xl2TboVEFJC7759+/Tee++pf//+qlChgurUqZOp5Xt7e6tly5bq379/qmm3n7VITk5W7969FRQUpGPHjmnSpEkKDw/P/AYB2WT//v06depUhjdDuhflypXL1D+77sXEiRNNHU/G/90voXTp0tb7HqQl5Q/kgwcP6rvvvtOnn35qM33u3LmaO3euDhw4oKCgoHuoHNnN29tb586dS9V+9uzZTD86ysfHR+fPn0/Vfvvyq1WrZjPa6PbP/fvN29tbFotFO3bsSPMfVIGBgWnOl5CQoG+//VbTp0+3OSN/+7XVt7tzf549e1aSrKOofHx89Mknn2jevHnau3evXn/9dXXu3Fl///23SpUqleHP5Paz+VLav7PTqiFl/rT+WZKRlPWlt0131gMAOY0AjVwnODhY7777rj7++GMdOHBAderUSfVf/ow0atRIf/75p6pUqZLhsL0333xTe/bs0c8//6zvv/9ew4YNU+vWrTMMGA4ODvynG/dFQkKCBg4cKCcnJ/Xu3Tuny7lnmR3C7ejoqCZNmmjz5s027Rs3bpQk682HPv/881TH4LPPPqsnn3xSgwcPVvHixe+xcmS32rVra86cOYqJibGONPj777/1xx9/qFevXplaVvXq1TV79mxdunTJGoy3b99uc5bSzc0tzc/xzPweyaqUERMXL160GQZ9N9evX1dycrJN6L506ZK++eabNPuvXLnSZhj38uXL5evrq2LFitn0s7OzU/Xq1fX666/rm2++0eHDh1WqVCnVrl1bq1at0jvvvCN7+1t/Cm7cuFGxsbGqXbu2qZr//PNPHT582Do8/PDhw/r9999thm+b+Z0ZGBioggULatmyZTbb9OWXX8rR0dF6528AyC0I0MgVnnrqKbVv314VKlRQnjx5tGjRIjk6OlrPPpcrV06S9OGHH6pdu3bKmzevgoOD01xWeHi4qlevrqZNm6pv374qXLiwzpw5o23btqlOnTrq0qWL/vjjD02YMEETJ05UcHCwKlSooK+//lrPP/+8fvnllzSvH02p4+uvv1adOnXk6uqqwMDAB3p2Aw+H5ORk6zW8ly9f1r59+zRnzhwdOXJECxYsuOtj2u6XkJAQ62N97pWvr2+m7/A9YcIE1apVS88995x69Oihf/75R6NHj9Zzzz2n0qVLS0r7+bHOzs4qWrRohs+Mxv2VlJRk8xioFDVq1NCQIUM0f/58NWnSRGPHjlVCQoLGjRun4sWLZ3q0xZAhQzRr1iy1bNlSw4cPV2xsrMLDw1WgQIG7Dt0vUqSIPD099dlnn6lkyZJycnJSxYoVM7X+uwkICNDLL7+s7t27a/jw4XriiSd08+ZNHTp0SFu2bNGqVavSnM/Dw0PVq1fXtGnTVLBgQdnb22vatGny8PBI80zv999/r+HDh6tx48bauHGjFi9erA8//FB2dnaKi4tT06ZN1b17dwUGBurGjRv64IMP5Onpaf1H1NixY1WrVi21atVKAwcO1NmzZzVq1CjVqFFDLVq0MLWthQsXVuvWrTVx4kRJ0vjx41W0aFGbn6mZ35l58uTR+PHjNWjQIBUqVEgtWrTQTz/9pDfeeEOvvPJKmteAA0BOIkAjV3jqqae0aNEiHT16VHZ2dgoODtbq1autwblKlSoKCwvTvHnz9Oabb8rPzy/dP/LLlCmj3bt3a9y4cerfv78uX74sHx8f1a1bVxUrVtSNGzfUvXt3Va9eXcOHD5ck67Mug4ODNWrUqDSvn5ZuBfjBgwerefPmunbtmrZs2cIf7ci0a9eu6cknn5Qk5cuXT/7+/mrYsKFWrlyZo8OPr1y5oiJFiuTY+qtVq6a1a9dq1KhRatOmjby8vNS3b19Nnjw5x2qCOQkJCaluAiVJixcvVrdu3bRt2zYNGzZMzz33nPLkyaPGjRtr+vTpmf4HpI+Pj9atW6dBgwapY8eOKl26tN577z0NGDBAHh4eGc5rZ2en+fPna8yYMdbHGmb1OegZef/99xUYGKjZs2dr4sSJypcvnwIDA9PcP7dbunSpXnzxRfXo0UP58+fXoEGDdPny5VTPS5ZuPTN5zpw5mjVrltzc3DRp0iTrZUvOzs4KDg7WBx98oOPHj8vFxUWPP/64NmzYYL02u1q1atqwYYNGjx6tDh06yNXVVW3atNE777xj+oZrVatWVYcOHTRixAhFRUXpiSeeUEREhM2lGGZ/Zw4cOFAODg6aPn26Zs2aJR8fH4WFhWnMmDGmagGAB8liGBk8sBcA8Ei4du2aPD09tXjxYnXq1CmnywFM++effxQUFKRPPvlEPXr0yOlyHgkhISHKly+fvv3225wuBQAeOM5AAwC0Z88elSpVSh07dszpUoAMjR49WhUrVpSvr6+OHDmiKVOmyMfHRx06dMjp0gAAjwACNABAdevW1YEDB3K6DOCubty4oZEjR+rs2bNycXFRSEiI3nrrLeXLly+nSwMAPAIYwg0AAAAAgAkZ37ISAAAAAABIIkADAAAAAGAKARoAAAAAABMI0AAAAAAAmECABgAAAADABAI0AECSFBkZqbCwMJ0+fdqmfevWrbJYLPr555/v27rbtWunkJCQ+7Z8AACA7ECABgBIuhWgw8PDUwVoAAAA3EKABgAAAADABAI0APyHhIaGqkKFCtq0aZMqVqwoFxcX1atXT5GRkYqOjlanTp3k7u6u0qVL64svvrCZd82aNXriiSfk4uKiggUL6qWXXtKVK1ck3RqmXb9+fUlS9erVZbFYZLFYbOaPiYlR165d5ebmphIlSujNN99MVd+KFStUuXJlOTs7y9fXV0OHDlVCQoJNnwMHDqhevXpydnZW6dKltXDhwuzcRQAAAPcNARoA/mPOnDmjV199VWPHjtWSJUv077//6rnnnlPnzp0VHBysr776StWqVVO3bt107NgxSdLy5cvVpk0bBQcHa+XKlXrzzTe1YsUKvfDCC5KkqlWr6sMPP5QkzZ8/Xzt37tTOnTtt1tuvXz8FBARo5cqVat26tUaOHKn169dbp3/zzTfq2LGjypcvr1WrVmnEiBGKiIhQt27drH0SEhLUpEkTnT17VosXL9a0adM0bdo07dmz537vNgAAgHtmn9MFAAAyJzo6Wtu2bdNjjz0mSTp9+rQGDhyokSNHavz48ZJunUVesWKFVq1apUGDBmnYsGHq3Lmz5s2bZ12Oj4+PWrRoofHjx+uxxx5T+fLlJUkVKlTQ448/nmq9HTp0UFhYmCSpYcOGWrNmjZYvX65mzZpJksLCwlSzZk0tXbpUktSsWTPlzZtXL774ovbt26fg4GAtWLBAp0+f1sGDB1W2bFlJUpUqVRQYGGh9DQAAkFtxBhoA/mN8fX2t4VmSAgICJEmNGjWytnl6eqpQoUI6ceKEDh06pGPHjqlTp05KTEy0ftWrV092dnam767dpEkT6/cWi0XlypXTyZMnJUmXL1/Wb7/9po4dO9rM07lzZ0nSjh07JEm7du1ShQoVbMJymTJlVKlSpczsAgAAgBzBGWgA+I/x9PS0ee3o6Jhue0JCgi5cuCBJat++fZrLO3HiRJbXGxsbK0mKjY2VYRgqXLiwTR8PDw85OTkpOjpakhQVFaVChQqlWnbhwoV17do1U3UAAADkFAI0ADzkvL29JUkzZ87UE088kWq6r6/vPa/D09NTFotF586ds2mPi4vT9evXrTX4+Pjol19+STX/2bNn5e7ufs91AAAA3E8M4QaAh1xQUJCKFSumI0eO6PHHH0/1lRKgU85k33nXbDPy5cunypUra/ny5TbtX375pSSpdu3akqQaNWrozz//1OHDh619Dh8+rN9//z1L2wYAAPAgcQYaAB5yFotF06dPV9euXXXlyhW1bNlSrq6uOnbsmNasWaMpU6YoICBAAQEBypMnjz755BPZ29vL3t4+zZuJpScsLEzt2rVTt27d1K1bN/39998aM2aMOnTooODgYEm3HsP1+uuvq1WrVpo0aZIk6bXXXlORIkXuy7YDAABkJwI0ADwCnnnmGXl6emry5Mn69NNPJUn+/v5q1qyZ9brlAgUK6MMPP9Sbb76pxYsXKzExUYZhmF5HmzZttGzZMk2cOFFt27aVt7e3+vbtq6lTp1r7uLi4aMOGDXrppZfUrVs3FS1aVOPHj9fXX39tvZ4aAAAgt7IYmfnrCAAAAACARxTXQAMAAAAAYAIBGgAAAAAAEwjQAAAAAACYQIAGAAAAAMAEAjQAAAAAACYQoAEAAAAAMIEADQAAAACACQRoAAAAAABMIEADAAAAAGACARoAAAAAABMI0AAAAAAAmECABgAAAADAhP8Hfrv+N0/O+tAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "first_exit_transition = transition.toarray().copy()\n", "first_exit_transition[3] = 0.0\n", "first_exit_transition[3, 3] = 1.0\n", "first_exit_anchors = np.zeros((5, 3), dtype=bool)\n", "first_exit_anchors[2, 0] = True\n", "first_exit_anchors[4, 1] = True\n", "first_exit_anchors[3, 2] = True\n", "first_exit = scCS.solve_discounted_outcomes(\n", " sparse.csr_matrix(first_exit_transition),\n", " first_exit_anchors,\n", " (\"A\", \"B\", \"escape\"),\n", " effective_horizon=64,\n", ")\n", "\n", "unlimited_like = scCS.solve_discounted_outcomes(\n", " transition,\n", " anchors,\n", " (\"A\", \"B\"),\n", " effective_horizon=1_000_000,\n", ")\n", "dffp = solutions[64]\n", "\n", "method_table = pd.DataFrame(\n", " [\n", " {\n", " \"method\": \"First exit\",\n", " \"P(A)\": first_exit.probability[0, 0],\n", " \"P(B)\": first_exit.probability[0, 1],\n", " \"escape_or_unresolved\": (\n", " first_exit.probability[0, 2]\n", " + first_exit.unresolved_probability[0]\n", " ),\n", " },\n", " {\n", " \"method\": \"DFFP, h=64\",\n", " \"P(A)\": dffp.probability[0, 0],\n", " \"P(B)\": dffp.probability[0, 1],\n", " \"escape_or_unresolved\": dffp.unresolved_probability[0],\n", " },\n", " {\n", " \"method\": \"Long-time absorption\",\n", " \"P(A)\": unlimited_like.probability[0, 0],\n", " \"P(B)\": unlimited_like.probability[0, 1],\n", " \"escape_or_unresolved\": unlimited_like.unresolved_probability[0],\n", " },\n", " ]\n", ").set_index(\"method\")\n", "display(method_table)\n", "\n", "ax = method_table.plot(\n", " kind=\"bar\",\n", " stacked=True,\n", " figsize=(9, 5),\n", " ylabel=\"Root probability\",\n", " title=\"The three graph formulations answer different questions\",\n", ")\n", "ax.set_ylim(0, 1.02)\n", "ax.legend(frameon=False, bbox_to_anchor=(1.02, 1), loc=\"upper left\")\n", "plt.xticks(rotation=0)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1d48ed7e", "metadata": {}, "source": [ "## 7. Why a straight star cannot define the scientific velocity\n", "\n", "A curved or loop-like source trajectory can be displayed as a straight branch,\n", "but the display map is many-to-one and removes curvature. Native scVelo\n", "projection onto the star is useful quality control; it is not an invertible\n", "vector transformation." ] }, { "cell_type": "code", "execution_count": 6, "id": "0c6808fd", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:14.675472Z", "iopub.status.busy": "2026-07-15T01:08:14.675267Z", "iopub.status.idle": "2026-07-15T01:08:14.927024Z", "shell.execute_reply": "2026-07-15T01:08:14.925790Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 1, 90)\n", "source_x = t\n", "source_y = 0.35 * np.sin(2.2 * np.pi * t)\n", "source_dx = np.gradient(source_x)\n", "source_dy = np.gradient(source_y)\n", "\n", "star_x = t\n", "star_y = np.zeros_like(t)\n", "\n", "sample = np.arange(0, len(t), 7)\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.8))\n", "axes[0].plot(source_x, source_y, linewidth=2.5)\n", "axes[0].quiver(\n", " source_x[sample],\n", " source_y[sample],\n", " source_dx[sample],\n", " source_dy[sample],\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=0.13,\n", " width=0.005,\n", ")\n", "axes[0].set_title(\"Original source manifold\")\n", "axes[0].set_xlabel(\"source component 1\")\n", "axes[0].set_ylabel(\"source component 2\")\n", "\n", "axes[1].plot(star_x, star_y, linewidth=2.5)\n", "axes[1].quiver(\n", " star_x[sample],\n", " star_y[sample],\n", " np.gradient(star_x)[sample],\n", " np.zeros(len(sample)),\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=0.13,\n", " width=0.005,\n", ")\n", "axes[1].set_title(\"Standardized straight display branch\")\n", "axes[1].set_xlabel(\"display ordering\")\n", "axes[1].set_yticks([])\n", "fig.suptitle(\"Display straightening cannot preserve every local source direction\", y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a0f2158d", "metadata": {}, "source": [ "## 8. Circular regraphing causes entropy degeneration\n", "\n", "If neighbors are recomputed after annotated terminal cells have been placed on\n", "one-dimensional rays, their available displacements are already constrained to\n", "those rays. Root neighbors are similarly constrained to the incoming line.\n", "\n", "The following schematic shows the resulting loss of informative entropy. It is\n", "a consequence of the imposed geometry, not evidence of biologically perfect\n", "commitment." ] }, { "cell_type": "code", "execution_count": 7, "id": "9a82d79a", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:14.929319Z", "iopub.status.busy": "2026-07-15T01:08:14.929098Z", "iopub.status.idle": "2026-07-15T01:08:15.202869Z", "shell.execute_reply": "2026-07-15T01:08:15.201570Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def normalized_entropy(probability):\n", " probability = np.clip(np.asarray(probability, dtype=float), 1e-15, 1.0)\n", " return -(probability * np.log(probability)).sum(axis=1) / np.log(probability.shape[1])\n", "\n", "n = 800\n", "source_root_affinity = rng.dirichlet([2.2, 2.0, 1.8, 1.6], size=n)\n", "source_terminal_affinity = rng.dirichlet([10.0, 1.3, 1.3, 1.3], size=n)\n", "\n", "star_regraph_root = np.full((n, 4), 0.25)\n", "star_regraph_terminal = np.zeros((n, 4))\n", "star_regraph_terminal[:, 0] = 1.0\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4.6), sharex=True)\n", "axes[0].hist(normalized_entropy(source_root_affinity), bins=30, alpha=0.75, label=\"source graph\")\n", "axes[0].hist(normalized_entropy(star_regraph_root), bins=30, alpha=0.75, label=\"star regraph\")\n", "axes[0].set_title(\"Root cells\")\n", "axes[0].set_xlabel(\"Normalized fate entropy\")\n", "axes[0].set_ylabel(\"Cells\")\n", "axes[0].legend(frameon=False)\n", "\n", "axes[1].hist(\n", " normalized_entropy(source_terminal_affinity),\n", " bins=30,\n", " alpha=0.75,\n", " label=\"source graph\",\n", ")\n", "axes[1].hist(\n", " normalized_entropy(star_regraph_terminal),\n", " bins=30,\n", " alpha=0.75,\n", " label=\"star regraph\",\n", ")\n", "axes[1].set_title(\"Annotated terminal cells\")\n", "axes[1].set_xlabel(\"Normalized fate entropy\")\n", "axes[1].legend(frameon=False)\n", "fig.suptitle(\"Schematic entropy degeneration after conditioning neighbors on the star\", y=1.02)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4c1caf80", "metadata": {}, "source": [ "## 9. Visual comparison of evaluated approaches" ] }, { "cell_type": "code", "execution_count": 8, "id": "393d7808", "metadata": { "execution": { "iopub.execute_input": "2026-07-15T01:08:15.205031Z", "iopub.status.busy": "2026-07-15T01:08:15.204883Z", "iopub.status.idle": "2026-07-15T01:08:15.396385Z", "shell.execute_reply": "2026-07-15T01:08:15.395129Z" } }, "outputs": [ { "data": { "image/png": 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", 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Original graphLeave and returnUnresolved retainedCurves/loops not forced outwardTransparent parameters
Instantaneous pushforward10001
scVelo display projection11011
Regraph on star00001
Local trajectory frames11010
First-exit absorption10111
Unlimited absorption11011
DFFP11111
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" ], "text/plain": [ " Original graph ... Transparent parameters\n", "Instantaneous pushforward 1 ... 1\n", "scVelo display projection 1 ... 1\n", "Regraph on star 0 ... 1\n", "Local trajectory frames 1 ... 0\n", "First-exit absorption 1 ... 1\n", "Unlimited absorption 1 ... 1\n", "DFFP 1 ... 1\n", "\n", "[7 rows x 5 columns]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "comparison = pd.DataFrame(\n", " {\n", " \"Original graph\": [1, 1, 0, 1, 1, 1, 1],\n", " \"Leave and return\": [0, 1, 0, 1, 0, 1, 1],\n", " \"Unresolved retained\": [0, 0, 0, 0, 1, 0, 1],\n", " \"Curves/loops not forced outward\": [0, 1, 0, 1, 1, 1, 1],\n", " \"Transparent parameters\": [1, 1, 1, 0, 1, 1, 1],\n", " },\n", " index=[\n", " \"Instantaneous pushforward\",\n", " \"scVelo display projection\",\n", " \"Regraph on star\",\n", " \"Local trajectory frames\",\n", " \"First-exit absorption\",\n", " \"Unlimited absorption\",\n", " \"DFFP\",\n", " ],\n", ")\n", "fig, ax = plt.subplots(figsize=(10, 5.8))\n", "image = ax.imshow(comparison.to_numpy(), vmin=0, vmax=1, cmap=\"Blues\", aspect=\"auto\")\n", "ax.set_xticks(np.arange(comparison.shape[1]))\n", "ax.set_xticklabels(comparison.columns, rotation=30, ha=\"right\")\n", "ax.set_yticks(np.arange(comparison.shape[0]))\n", "ax.set_yticklabels(comparison.index)\n", "for row in range(comparison.shape[0]):\n", " for column in range(comparison.shape[1]):\n", " ax.text(\n", " column,\n", " row,\n", " \"yes\" if comparison.iat[row, column] else \"no\",\n", " ha=\"center\",\n", " va=\"center\",\n", " color=\"white\" if comparison.iat[row, column] else \"black\",\n", " )\n", "ax.set_title(\"Properties of the evaluated formulations\")\n", "fig.colorbar(image, ax=ax, label=\"property present\")\n", "fig.tight_layout()\n", "plt.show()\n", "comparison" ] }, { "cell_type": "markdown", "id": "bf49e901", "metadata": {}, "source": [ "## 10. Interpretation and reporting\n", "\n", "DFFP was selected because it preserved the original graph, allowed temporary\n", "excursions, retained unresolved futures, tolerated non-monotonic branches, and\n", "stabilized before unlimited mixing.\n", "\n", "A complete report states:\n", "\n", "1. velocity model and source graph;\n", "2. supervised root and fates;\n", "3. ordering and validation;\n", "4. effective horizon and anchor rule;\n", "5. CFA, DFR, FFS, RC, UFP, and SOF;\n", "6. explicit competing outcomes, if any;\n", "7. anchor and horizon sensitivity.\n", "\n", "The star-space velocity grid, root rose, and branch-relative profiles remain\n", "display diagnostics rather than DFFP inputs." ] } ], "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }