diff --git a/docs/tutorials/linear/annealed_sinkhorn.ipynb b/docs/tutorials/linear/annealed_sinkhorn.ipynb new file mode 100644 index 000000000..ae369e1a0 --- /dev/null +++ b/docs/tutorials/linear/annealed_sinkhorn.ipynb @@ -0,0 +1,987 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "5fd3f5a7", + "metadata": {}, + "source": [ + "# **Annealed Sinkhorn for Optimal Transport**\n", + "## A Tutorial using OTT-JAX\n", + "\n", + "*Based on: Chizat, L. (2024). \"Annealed Sinkhorn for Optimal Transport:\n", + "convergence, regularization path and debiasing.\" arXiv:2408.11620.*\n", + "\n", + "Sinkhorn's algorithm solves large-scale entropy-regularized OT via the\n", + "inverse temperature parameter β (equivalently ε = 1/β):\n", + "- **Small β** (large ε): fast but high entropic error O(β⁻¹)\n", + "- **Large β** (small ε): accurate but slow and numerically unstable\n", + "\n", + "**Annealed Sinkhorn** uses a non-decreasing sequence (β_t) to improve\n", + "this trade-off. Despite its widespread use in OTT-JAX and other libraries,\n", + "convergence guarantees only appeared in Chizat (2024).\n", + "\n", + "This notebook:\n", + "1. Implements Algorithms 1–3 from the paper using OTT-JAX primitives\n", + "2. Shows why OTT-JAX's default exponential `epsilon_scheduler` accumulates\n", + " relaxation error (Theorem 2.1)\n", + "3. Validates the optimal polynomial schedule β_t = Θ(t^κ) with κ=1/2\n", + "4. Demonstrates the **Debiased Annealed Sinkhorn** (Algorithm 3) that\n", + " breaks the O(t^{-1/2}) bottleneck with κ=2/3\n", + "5. Reproduces Figures 1 and 2a of the paper on both geometric and random costs" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "770a81f2", + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from ott.geometry import pointcloud, costs\n", + "from ott.geometry.epsilon_scheduler import Epsilon\n", + "from ott.problems.linear import linear_problem\n", + "from ott.solvers.linear import sinkhorn\n", + "\n", + "jax.config.update(\"jax_enable_x64\", True)\n", + "\n", + "plt.rcParams['figure.figsize'] = (8, 5)\n", + "plt.rcParams['axes.grid'] = True\n", + "plt.rcParams['grid.linestyle'] = '--'\n", + "plt.rcParams['grid.alpha'] = 0.7" + ] + }, + { + "cell_type": "markdown", + "id": "48c3dd52", + "metadata": {}, + "source": [ + "## **II — Experimental Setup**\n", + "\n", + "### Dataset (Appendix A)\n", + "Two types of problems from the paper:\n", + "- **Geometric**: 300 points in ℝ², cost c_ij = ‖x_i − y_j‖², uniform marginals\n", + "- **Random**: n=100, c_ij ~ N(0,1), random weights normalized to unit mass\n", + "\n", + "All cost matrices are normalized to unit oscillation norm ‖c‖_osc = 1 (App. A).\n", + "β₀ = 10 throughout (since ‖c‖_osc = 1 after normalization).\n", + "\n", + "### Evaluation metric (Algorithm 2 / Lemma 2.3)\n", + "Sinkhorn iterates π_t only satisfy one marginal constraint. We use the O(nm)\n", + "rounding procedure of Altschuler et al. (2017) to map any π_t to a valid\n", + "plan π̄_t ∈ Γ(p,q), and report the OT suboptimality ⟨C, π̄_t⟩ − OT(p,q)." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "cf124b23", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def make_geometric_problem(n=300, seed=42):\n", + " \"\"\"\n", + " Source (p) : An arc with a cluster in the top-left corner.\n", + " Target (q) : An inverted T.\n", + " \"\"\"\n", + " key = jax.random.PRNGKey(seed)\n", + " k1, k2, k3, k4, k5 = jax.random.split(key, 5)\n", + " cluster_source = jax.random.normal(k1, (100, 2)) * 0.04 + jnp.array([-0.3, 0.4])\n", + " \n", + " angles = jax.random.uniform(k2, (200,), minval=0.0, maxval=jnp.pi)\n", + " radii = 0.45 + jax.random.normal(k3, (200,)) * 0.02\n", + " arc_x = radii * jnp.cos(angles)\n", + " arc_y = radii * jnp.sin(angles)\n", + " arc_source = jnp.stack([arc_x, arc_y], axis=1)\n", + " \n", + " x = jnp.vstack([cluster_source, arc_source])\n", + "\n", + " # Target\n", + " bar_v = jax.random.uniform(k4, (100, 2), minval=jnp.array([-0.05, 0.1]), maxval=jnp.array([0.05, 0.6]))\n", + " # 2. Barre horizontale en bas\n", + " bar_h = jax.random.uniform(k5, (200, 2), minval=jnp.array([-0.5, 0.0]), maxval=jnp.array([0.5, 0.1]))\n", + " \n", + " y = jnp.vstack([bar_v, bar_h])\n", + "\n", + " # Uniforms\n", + " p = jnp.ones(n) / n\n", + " q = jnp.ones(n) / n\n", + "\n", + " # Matrix of squared Euclidean distances (normalized to [0, 1])\n", + " geom = pointcloud.PointCloud(x, y, cost_fn=costs.SqEuclidean())\n", + " C = geom.cost_matrix\n", + " C = C / (jnp.max(C) - jnp.min(C))\n", + " \n", + " return x, y, p, q, C\n", + "\n", + "\n", + "def make_random_problem(n=100, seed=0):\n", + " \"\"\"Random cost matrix with random marginals.\"\"\"\n", + " key = jax.random.PRNGKey(seed)\n", + " k1, k2, k3 = jax.random.split(key, 3)\n", + " C = jax.random.normal(k1, (n, n))\n", + " C = C / (jnp.max(C) - jnp.min(C))\n", + " p = jax.random.uniform(k2, (n,)); p = p / p.sum()\n", + " q = jax.random.uniform(k3, (n,)); q = q / q.sum()\n", + " return p, q, C\n", + "\n", + "\n", + "x, y, p_geo, q_geo, C_geo = make_geometric_problem()\n", + "p_rnd, q_rnd, C_rnd = make_random_problem()\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", + "axes[0].scatter(x[:, 0], x[:, 1], s=12, alpha=0.7, label='Source p')\n", + "axes[0].scatter(y[:, 0], y[:, 1], s=12, alpha=0.7, label='Target q')\n", + "axes[0].set_title(r'Geometric cost: $c_{ij}=\\|x_i-y_j\\|_2^2$')\n", + "axes[0].legend()\n", + "axes[1].imshow(np.array(C_rnd), cmap='RdBu_r', aspect='auto')\n", + "axes[1].set_title('Random cost (n=100, normalized)')\n", + "plt.tight_layout(); plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "bbfc9ea7", + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "def project_transport_plan(pi, p, q):\n", + " \"\"\"\n", + " Algorithm 2: Projection onto transport plans (Altschuler et al., 2017).\n", + "\n", + " Maps any non-negative matrix pi to a valid plan pi_bar in Gamma(p, q)\n", + " in O(nm) time. Used to compute OT suboptimality for intermediate iterates.\n", + " Lemma 2.3 guarantees:\n", + " - OT(p,q) <= log(mn)/beta + 4*||pi*1 - p||_1 * ||c||_osc\n", + " \"\"\"\n", + " # Rescale rows\n", + " a = jnp.minimum(1.0, p / (pi.sum(axis=1) + 1e-300))\n", + " pi2 = a[:, None] * pi\n", + " # Rescale columns\n", + " b = jnp.minimum(1.0, q / (pi2.sum(axis=0) + 1e-300))\n", + " pi3 = pi2 * b[None, :]\n", + " # Rank-1 correction\n", + " dp = p - pi3.sum(axis=1)\n", + " dq = q - pi3.sum(axis=0)\n", + " return pi3 + jnp.outer(dp, dq) / (jnp.abs(dp).sum() + 1e-300)\n", + "\n", + "\n", + "def projected_cost(pi, C, p, q):\n", + " return jnp.sum(project_transport_plan(pi, p, q) * C)" + ] + }, + { + "cell_type": "markdown", + "id": "4248b939", + "metadata": {}, + "source": [ + "### Algorithm 2\n", + "We verify that any matrix projected via Algorithm 2 exactly satisfies both\n", + "marginal constraints." + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "3152875e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max row error after projection: 1.73e-18 (should be ~0)\n", + "Max col error after projection: 1.30e-18 (should be ~0)\n" + ] + } + ], + "source": [ + "pi_rand = jax.random.uniform(jax.random.PRNGKey(99), C_geo.shape)\n", + "pi_proj = project_transport_plan(pi_rand, p_geo, q_geo)\n", + "\n", + "row_err = float(jnp.max(jnp.abs(pi_proj.sum(axis=1) - p_geo)))\n", + "col_err = float(jnp.max(jnp.abs(pi_proj.sum(axis=0) - q_geo)))\n", + "print(f\"Max row error after projection: {row_err:.2e} (should be ~0)\")\n", + "print(f\"Max col error after projection: {col_err:.2e} (should be ~0)\")\n", + "assert row_err < 1e-10 and col_err < 1e-10" + ] + }, + { + "cell_type": "markdown", + "id": "be046c94", + "metadata": {}, + "source": [ + "## **III — Standard Sinkhorn: Speed-Accuracy Pareto Front**\n", + "\n", + "Standard Sinkhorn at fixed β converges to EOT_β(p,q), which is O(β⁻¹) away\n", + "from OT(p,q). The **Pareto front** (Fig. 1, dashed curves) is the pointwise\n", + "minimum over all fixed-β runs. Beating it with a single run is the goal of\n", + "annealing.\n", + "\n", + "We implement Algorithm 1 in log-domain, carrying log_a = log(a) and\n", + "log_b = log(b). The critical detail from the paper: the row update uses\n", + "K_{t-1} = exp(−C/ε_{t-1}) and the col update uses K_t = exp(−C/ε_t).\n", + "Standard Sinkhorn is the special case of a constant schedule." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "41538580", + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "def run_annealed_sinkhorn(C, p, q, epsilons):\n", + " \"\"\"\n", + " Algorithm 1: Annealed Sinkhorn\n", + " Implements the exact update sequence from the paper:\n", + " a_t = p / (K_{t-1} b_{t-1}) [row proj on eps_prev]\n", + " K_t = exp(-C / eps_t) [temperature update]\n", + " b_t = q / (K_t^T a_t) [col proj on eps]\n", + "\n", + " Works for both standard Sinkhorn (constant epsilons)\n", + " and annealed variants (decreasing epsilons).\n", + " Args:\n", + " C: (m, n) cost matrix normalized to unit oscillation.\n", + " p, q: marginals.\n", + " epsilons: (T,) sequence of regularization parameters.\n", + " Returns:\n", + " costs: (T,) projected OT cost at each iteration.\n", + " \"\"\"\n", + " log_a = jnp.zeros_like(p)\n", + " log_b = jnp.zeros_like(q)\n", + " eps_prev_seq = jnp.concatenate([epsilons[:1], epsilons[:-1]])\n", + "\n", + " def body(carry, params):\n", + " log_a, log_b = carry\n", + " eps_prev, eps = params\n", + " log_a = jnp.log(p) - jax.scipy.special.logsumexp(\n", + " -C / eps_prev + log_b[None, :], axis=1)\n", + " log_b = jnp.log(q) - jax.scipy.special.logsumexp(\n", + " -C / eps + log_a[:, None], axis=0)\n", + " pi = jnp.exp(log_a[:, None] + log_b[None, :] - C / eps)\n", + " return (log_a, log_b), projected_cost(pi, C, p, q)\n", + "\n", + " _, costs_out = jax.lax.scan(body, (log_a, log_b), (eps_prev_seq, epsilons))\n", + " return costs_out" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "a6abf121", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Computing OT references via OTT-JAX Sinkhorn...\n", + " eps=0.001: cost=0.080505, converged=True\n", + " eps=0.0005: cost=0.080120, converged=True\n", + " eps=0.0002: cost=0.079905, converged=False\n", + " Extrapolated OT: 0.079762\n", + " eps=0.001: cost=-0.304220, converged=True\n", + " eps=0.0005: cost=-0.304231, converged=False\n", + " eps=0.0002: cost=-0.304230, converged=False\n", + " Extrapolated OT: -0.304228\n", + "OT(p,q) geometric: 0.079762\n", + "OT(p,q) random: -0.304228\n", + "Computing Pareto fronts...\n", + "Done.\n" + ] + } + ], + "source": [ + "# We use ott.solvers.linear.Sinkhorn at very small epsilon for a tight reference.\n", + "def compute_ot_ref_ottjax(C, p, q):\n", + " \"\"\"Compute OT(p,q) via Richardson extrapolation on two epsilon values.\n", + " More reliable than a single very-small-epsilon run that may not converge.\"\"\"\n", + " from ott.geometry.geometry import Geometry\n", + " results = []\n", + " for eps in [1e-3, 5e-4, 2e-4]:\n", + " geom = Geometry(cost_matrix=C, epsilon=eps)\n", + " prob = linear_problem.LinearProblem(geom, a=p, b=q)\n", + " out = sinkhorn.Sinkhorn(max_iterations=20000, threshold=1e-9)(prob)\n", + " # EOT_eps(p,q) = OT(p,q) + d/eps + O(eps^{-2}), extrapolate to eps->0\n", + " results.append((eps, float(jnp.sum(out.matrix * C)), out.converged))\n", + " print(f\" eps={eps}: cost={results[-1][1]:.6f}, converged={out.converged}\")\n", + " # Linear extrapolation: cost(eps) ≈ OT + c*eps, use two smallest eps\n", + " eps1, c1, _ = results[1]\n", + " eps2, c2, _ = results[2]\n", + " # c1 = OT + a*eps1, c2 = OT + a*eps2 => OT = (c1*eps2 - c2*eps1)/(eps2-eps1)\n", + " OT_extrap = (c1*eps2 - c2*eps1) / (eps2 - eps1)\n", + " print(f\" Extrapolated OT: {OT_extrap:.6f}\")\n", + " return OT_extrap\n", + "\n", + "print(\"Computing OT references via OTT-JAX Sinkhorn...\")\n", + "OT_geo = compute_ot_ref_ottjax(C_geo, p_geo, q_geo)\n", + "OT_rnd = compute_ot_ref_ottjax(C_rnd, p_rnd, q_rnd)\n", + "print(f\"OT(p,q) geometric: {OT_geo:.6f}\")\n", + "print(f\"OT(p,q) random: {OT_rnd:.6f}\")\n", + "\n", + "# Pareto front: standard Sinkhorn at multiple fixed β \n", + "T = 1000\n", + "iterations = jnp.arange(1, T + 1)\n", + "beta_values = [10, 50, 100, 200, 500, 1000, 2000, 5000]\n", + "\n", + "def compute_pareto(C, p, q, ot_ref, T=1000):\n", + " curves = {}\n", + " for beta in beta_values:\n", + " raw = run_annealed_sinkhorn(C, p, q, jnp.full(T, 1.0 / beta))\n", + " curves[beta] = np.maximum(np.array(raw) - ot_ref, 1e-10)\n", + " front = np.min(np.stack(list(curves.values())), axis=0)\n", + " return curves, front\n", + "\n", + "print(\"Computing Pareto fronts...\")\n", + "pareto_geo, front_geo = compute_pareto(C_geo, p_geo, q_geo, OT_geo)\n", + "pareto_rnd, front_rnd = compute_pareto(C_rnd, p_rnd, q_rnd, OT_rnd)\n", + "print(\"Done.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "0c5d6ccc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plotting\n", + "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", + "\n", + "for ax, pareto_curves, front, ot_ref, title in [\n", + " (axes[0], pareto_geo, front_geo, OT_geo,\n", + " r'Geometric cost ($c_{ij}=\\|x_i-y_j\\|_2^2$)'),\n", + " (axes[1], pareto_rnd, front_rnd, OT_rnd,\n", + " r'Random cost ($c_{ij}\\overset{\\rm iid}{\\sim}\\mathcal{N}(0,1)$)'),\n", + "]:\n", + " cmap = plt.cm.Reds\n", + " iters = np.arange(1, T + 1)\n", + " for i, (beta, curve) in enumerate(pareto_curves.items()):\n", + " col = cmap(0.3 + 0.7 * i / (len(pareto_curves) - 1))\n", + " ax.loglog(iters, curve, '--', color=col, lw=1.0, alpha=0.7,\n", + " label=f'Sinkhorn β={beta}' if beta in [10, 5000] else '_')\n", + " ax.loglog(iters, front, color='darkorange', lw=2.5,\n", + " label='Pareto front (pointwise min)')\n", + " ax.set_xlabel('Iteration t')\n", + " ax.set_ylabel(r'$\\langle C,\\bar\\pi_t\\rangle - \\mathrm{OT}(p,q)$')\n", + " ax.set_title(title)\n", + " ax.legend(fontsize=9)\n", + "\n", + "fig.suptitle('Standard Sinkhorn: Speed-Accuracy Pareto Front\\n'\n", + " 'Each point on the orange curve requires a different run '\n", + " 'annealing aims to match it with one.', fontsize=11)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c708b703", + "metadata": {}, + "source": [ + "## **III bis — OTT-JAX's Default Schedule and its Limitation**\n", + "\n", + "OTT-JAX provides `ott.geometry.epsilon_scheduler.Epsilon` for annealing:\n", + "\n", + "```python\n", + "Epsilon(target, init=1.0, decay=1.0)\n", + "# epsilon_t = target + (init - target) * decay^t\n", + "```\n", + "\n", + "This implements an **exponential decay** schedule, which is the default in\n", + "OTT-JAX and most OT libraries. However, Theorem 2.1 of the paper shows that\n", + "convergence to OT requires **both**:\n", + "- β_t → +∞ (ε_t → 0) ← exponential satisfies this\n", + "- α_t = β_t − β_{t-1} → 0 ← **exponential violates this**\n", + "\n", + "For an exponential schedule ε_t = ε_0 · γ^t (γ < 1):\n", + " β_t = β_0 · (1/γ)^t grows exponentially\n", + " α_t = β_t − β_{t-1} = β_0 (1/γ)^{t-1}(1/γ − 1) → +∞\n", + "\n", + "α_t diverges — this is a direct violation of Theorem 2.1's necessary condition\n", + "α_t → 0. The relaxation error O(α_t) therefore grows without bound,\n", + "which is why exponential schedules are unsuitable for solving OT." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "29a6e9c1", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/f0/klngflt94f5c3jj4c40wzgrc0000gn/T/ipykernel_23641/2978187537.py:21: RuntimeWarning: divide by zero encountered in divide\n", + " betas_exp = 1.0 / np.array(eps_exp)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "beta_0 = 10.0\n", + "eps_0 = 1.0 / beta_0\n", + "\n", + "# OTT-JAX default: exponential schedule\n", + "# We match the same final epsilon as the polynomial κ=1/2 schedule at T=1000\n", + "# Compute decay so that scheduler(T-1) = eps_final_poly exactly\n", + "eps_final_poly = eps_0 / (1 + T) ** 0.5\n", + "decay = ((eps_final_poly - eps_0 * 0) / (eps_0 - 0)) ** (1.0 / (T - 1))\n", + "scheduler_exp = Epsilon(target=0.0, init=eps_0, decay=decay)\n", + "eps_exp = jnp.array([float(scheduler_exp(t)) for t in range(T)])\n", + "eps_poly_half = eps_0 / (1 + iterations) ** 0.5\n", + "eps_poly_23 = eps_0 / (1 + iterations) ** (2/3)\n", + "\n", + "# Run both on geometric problem\n", + "costs_exp = np.maximum(np.array(run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_exp))\n", + " - OT_geo, 1e-10)\n", + "costs_half = np.maximum(np.array(run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_poly_half))\n", + " - OT_geo, 1e-10)\n", + "\n", + "# Show alpha_t = beta_t - beta_{t-1} for each schedule\n", + "betas_exp = 1.0 / np.array(eps_exp)\n", + "betas_poly = 1.0 / np.array(eps_poly_half)\n", + "alphas_exp = np.diff(betas_exp)\n", + "alphas_poly = np.diff(betas_poly)\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", + "\n", + "ax = axes[0]\n", + "ax.loglog(np.arange(1, T), alphas_exp, color='red', lw=2, label='Exponential (OTT-JAX default)')\n", + "ax.loglog(np.arange(1, T), alphas_poly, color='royalblue', lw=2, label='Polynomial κ=1/2 (paper)')\n", + "ax.loglog(np.arange(1, T), 5 * np.arange(1, T)**(-0.5), 'k:', lw=1, label=r'$O(t^{-1/2})$')\n", + "ax.set_xlabel('Iteration t')\n", + "ax.set_ylabel(r'$\\alpha_t = \\beta_t - \\beta_{t-1}$')\n", + "ax.set_title(r'Rate of cooling $\\alpha_t$'\n", + " '\\n(must → 0 for convergence, Thm. 2.1)')\n", + "ax.legend()\n", + "\n", + "ax = axes[1]\n", + "ax.loglog(np.arange(1, T+1), costs_exp, color='red', lw=2,\n", + " label='Exponential (OTT-JAX default)')\n", + "ax.loglog(np.arange(1, T+1), costs_half, color='royalblue', lw=2,\n", + " label='Polynomial κ=1/2 (paper)')\n", + "ax.loglog(np.arange(101, T+1), 0.5 * np.arange(101, T+1)**(-0.5),\n", + " 'k:', lw=1.2, label=r'$O(t^{-1/2})$')\n", + "ax.set_xlabel('Iteration t')\n", + "ax.set_ylabel(r'$\\langle C, \\bar\\pi_t\\rangle - \\mathrm{OT}(p,q)$')\n", + "ax.set_title('OTT-JAX exponential vs. polynomial schedule\\n'\n", + " '(same final ε, geometric cost)')\n", + "ax.legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "18962ab9", + "metadata": {}, + "source": [ + "## **IV — Figure 2a: What is the Optimal κ?**\n", + "\n", + "Theorem 3.2 predicts two competing error terms for the regularization path\n", + "with a polynomial schedule β_t = β₀(1+t)^κ:\n", + "\n", + "$$\\langle c, \\bar\\pi_t\\rangle - \\mathrm{OT}(p,q) \\leq\n", + "\\underbrace{O(t^{-\\kappa})}_{\\text{entropic error}}\n", + "+ \\underbrace{O(t^{\\kappa-1})}_{\\text{relaxation error}}$$\n", + "\n", + "Balancing both terms: −κ = κ − 1 → **κ = 1/2**, giving rate O(t^{−1/2}).\n", + "\n", + "We verify this by sweeping κ ∈ (0,1) and measuring suboptimality at t = 200." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "f6702e08", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Empirical optimal κ = 0.49 (theory: 0.50)\n" + ] + } + ], + "source": [ + "T_sweep = 200\n", + "iters_sweep = jnp.arange(1, T_sweep + 1, dtype=float)\n", + "kappas = np.linspace(0.05, 0.95, 40)\n", + "\n", + "subopt_annealed = []\n", + "for kappa in kappas:\n", + " eps_k = eps_0 / (1 + iters_sweep) ** float(kappa)\n", + " c = run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_k)\n", + " subopt_annealed.append(float(c[-1]) - OT_geo)\n", + "subopt_annealed = np.array(subopt_annealed)\n", + "\n", + "kopt_ann = kappas[np.argmin(np.abs(subopt_annealed))]\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 5))\n", + "ax.semilogy(kappas, np.abs(subopt_annealed), color='royalblue', lw=2,\n", + " label='Annealed Sinkhorn')\n", + "ax.axvline(0.5, color='royalblue', ls=':', lw=1.5, label='Theory: κ=1/2')\n", + "ax.axvline(kopt_ann, color='royalblue', ls='--', lw=1.0, alpha=0.7)\n", + "ax.scatter([kopt_ann], [np.abs(subopt_annealed).min()],\n", + " marker='*', s=200, color='royalblue', zorder=5,\n", + " label=f'Empirical optimum: κ={kopt_ann:.2f}')\n", + "ax.set_xlabel('Exponent κ')\n", + "ax.set_ylabel('OT suboptimality at t=200')\n", + "ax.set_title(r'Fig. 2a (partial): Suboptimality vs. κ in Annealed Sinkhorn')\n", + "ax.legend()\n", + "plt.tight_layout(); plt.show()\n", + "print(f\"Empirical optimal κ = {kopt_ann:.2f} (theory: 0.50)\")" + ] + }, + { + "cell_type": "markdown", + "id": "1352309c", + "metadata": {}, + "source": [ + "## **V — Debiased Annealed Sinkhorn (Algorithm 3)**\n", + "\n", + "The relaxation error O(α_t) comes from each temperature jump shifting the\n", + "effective first marginal away from p. Proposition 4.1 shows this can be\n", + "cancelled by replacing p with:\n", + "\n", + "$$\\tilde{p}_t = a_{t-1}^{\\,\\rho_t} \\odot p, \\qquad\n", + "\\rho_t = 1 - \\frac{\\beta_{t-2}}{\\beta_{t-1}} = 1 - \\frac{\\varepsilon_{t-1}}{\\varepsilon_{t-2}}$$\n", + "\n", + "In log-domain (Algorithm 3), the row update becomes:\n", + "\n", + "$$\\log a_t = \\rho_t \\cdot \\log a_{t-1} + \\log p - \\log(K_{t-1} b_{t-1})$$\n", + "\n", + "When ρ_t = 0 (constant β) this reduces to standard Sinkhorn.\n", + "With the O(α_t) relaxation error cancelled, a faster schedule κ = 2/3\n", + "becomes optimal, achieving O(t^{-2/3}) — breaking the universal O(t^{-1/2})\n", + "bottleneck of standard Annealed Sinkhorn." + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "dd2d8ba7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "@jax.jit\n", + "def run_debiased_annealed_sinkhorn(C, p, q, epsilons):\n", + " \"\"\"\n", + " Algorithm 3: Debiased Annealed Sinkhorn (log-domain, JAX-compiled).\n", + "\n", + " Debiased row update (Prop. 4.1):\n", + " log_a_t = rho_t * log_a_{t-1} + log(p) - log(K_{t-1} b_{t-1})\n", + " where rho_t = 1 - eps_{t-1}/eps_{t-2} (= 1 - beta_{t-2}/beta_{t-1}).\n", + "\n", + " rho_t = 0 at t=0 (no debiasing on first step).\n", + " Col update is identical to standard Annealed Sinkhorn.\n", + " \"\"\"\n", + " log_a = jnp.zeros_like(p)\n", + " log_b = jnp.zeros_like(q)\n", + " eps_prev = jnp.concatenate([epsilons[:1], epsilons[:-1]]) # eps_{t-1}\n", + " eps_pp = jnp.concatenate([epsilons[:1], eps_prev[:-1]]) # eps_{t-2}\n", + " rhos = 1.0 - eps_prev / eps_pp\n", + "\n", + " def body(carry, params):\n", + " log_a, log_b = carry\n", + " ep, e, rho = params\n", + " log_a = rho * log_a + jnp.log(p) - jax.scipy.special.logsumexp(\n", + " -C / ep + log_b[None, :], axis=1)\n", + " log_b = jnp.log(q) - jax.scipy.special.logsumexp(\n", + " -C / e + log_a[:, None], axis=0)\n", + " pi = jnp.exp(log_a[:, None] + log_b[None, :] - C / e)\n", + " return (log_a, log_b), projected_cost(pi, C, p, q)\n", + "\n", + " _, costs_out = jax.lax.scan(body, (log_a, log_b), (eps_prev, epsilons, rhos))\n", + " return costs_out\n", + "\n", + "\n", + "# Run all algorithms \n", + "costs_ann_geo = np.maximum(\n", + " np.array(run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_poly_half)) - OT_geo, 1e-10)\n", + "costs_deb_geo = np.maximum(\n", + " np.array(run_debiased_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_poly_23)) - OT_geo, 1e-10)\n", + "\n", + "# Figure 1\n", + "def plot_fig1(ax, pareto_curves, front, costs_ann, costs_deb, title):\n", + " cmap = plt.cm.Reds\n", + " iters = np.arange(1, len(front) + 1)\n", + " for i, (beta, curve) in enumerate(pareto_curves.items()):\n", + " col = cmap(0.3 + 0.7 * i / (len(pareto_curves) - 1))\n", + " ax.loglog(iters, curve, '--', color=col, lw=0.9, alpha=0.55,\n", + " label=f'Sinkhorn β={beta}' if beta in [10, 5000] else '_')\n", + " ax.loglog(iters, front, color='darkorange', lw=2.5, label='Pareto front')\n", + " ax.loglog(iters, costs_ann, color='royalblue', lw=2.0, label='Annealed κ=1/2')\n", + " ax.loglog(iters, costs_deb, color='crimson', lw=2.5, label='Debiased κ=2/3')\n", + " t_s = iters[100:]\n", + " ax.loglog(t_s, 0.5 * t_s**(-0.5), 'k:', lw=1.2, label=r'$O(t^{-1/2})$')\n", + " ax.loglog(t_s, 0.25 * t_s**(-2/3), 'k--', lw=1.2, label=r'$O(t^{-2/3})$')\n", + " ax.set_xlabel('Iteration t')\n", + " ax.set_ylabel(r'$\\langle C,\\bar\\pi_t\\rangle - \\mathrm{OT}(p,q)$')\n", + " ax.set_title(title)\n", + " ax.legend(fontsize=8)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plot_fig1(ax, pareto_geo, front_geo, costs_ann_geo, costs_deb_geo,\n", + " r'Fig. 1a: Geometric cost ($c_{ij}=\\|x_i-y_j\\|_2^2$)')\n", + "plt.tight_layout(); plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "f39b7f41", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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My0svvSTaDg3ZLC30vCjooCA383vAgIbqZX49svcWUqbUzMMAi/M36PGpXVJQS8NoDajsSG5zE/NCgQpdHKBhudQzRUFf9uA5+/Mw9Khl7k0s6Ps9PxQ80sUE6vmkXunCHvPM84yzH3eSPZtqZrm9XlQuhj6Xsl+Qyox6y6lXmX6X5izS49DwVurhM/RK5rW/9LlHnyMUYBrQMOu8hnkyxswL9+QxxiSDhjT17dtXzD+hJBV0AkgFyyn4y34CZjhJe1pdMOoROH36tBgmRSeomWvj0TAswzBK6umjEypKaEBzhujvUTpzSgQSEhKS5TELWkKBUFp4SpbyySefiLlsdIJGPSRUXoGCCuoxohPg7Gj+HaVEpwQMNKSRamBR6vTMQRWdDNNJHz02BVw0h8lQx66kFeb4FBWVGKBhanRs6Zg9bdhmSaKAgk6cKa1+Xn+XSkdQrxQN2yyNY0zD9ygIoWCBSlXQcaAkJRQIUI8p9TZRj6qh55d6pWiYJgUB1LZoLlfm+V3F/Rs0PJACM0oQQ6UyKAmPoYZbbnMOc9OoUSMxNJIuctAxzjxUk1Dbp+GINFeWgi2ao0rtivaDgpTCvt8NKLCh9zf1hNFzo8CU5pRSTy4FV0U5HgY0p47aApXOoONO72MajppfLzG9XtRDTI9PpTjowhVdMKC5n9nfZ3QRhz4D6X1Pn1f0GUhzQQ1DzOl9QvtGyZHo4gO9/jRPleYtUxugdUI/o9+lZEvnzp0TIxiozeRXXoMxZkZMnd6TMcZyYygzkFdq9NxKKJBffvlFX6NGDZFanNL9b9u2TaRhp22ZUYrygpRVMJQjyG3J/vv0t+rVqyfSxlesWFH/ySef6FevXi3uS/tb2BIKBpQ6ne7bsmVLvYuLi3h8SpM+d+5cfWJiYq773LNnT/3u3bvF/tCxoOdPJROyW7lypShhYEhrb0iLnlcJheyPkdfrlFsq+oIen8KWUMhs586dYvuMGTP0ZYnKVdDfXbVqVZ73MZTzoNIHhJ5jbunuKXV+5raV17HP6z1w4cIFUVLD09NTvPb0WEOGDMlS8oNKAYwdO1aUdnBychIlAK5fv54jdX/2EgqF+Rvk8OHD+saNG+ttbW1FO/vmm2+MbaOg3n33XXF/St2f3fnz50UZj/Lly4v98PHx0ffq1Ut/9uzZIr3fDftmWKitUlkWekxqq1TKIDcFOR6Gx6YyEoMGDdI7Ozvr3d3d9a+99po+JSUlx/5mL6Ewffp0UfpApVKJzwIqeZH9vfLtt9/q27RpY9yPKlWqiPcClRnJjEqN0HsnKChIb2NjI8p2dOzYUb9ixYos96PyF1TywcHBQbSVqVOn6nft2sUlFBizADL6x9SBJmOMlSbqsaK5KHmVX5AamttDvZfUq8UYY4wx68Nz8hhjkkFzTjLXZSOHDh3CxYsX88yIyBhjjDEmNTwnjzEmGTQPhpJjUPZCSsRCyU2++eYbMUfl5ZdfNvXuMcYYY4yVCQ7yGGOSQZkPKdsdJUKgLHGU6ZASDlCigacllGCMMcYYkwqek8cYY4wxxhhjEsJz8hhjjDHGGGNMQjjIY4wxxhhjjDEJ4SCPMcYYY4wxxiSEgzzGGGOMMcYYkxAO8hhjzExQHqxFixahWrVqsLW1Rbly5TB79myx3ZL3Z+HChahRowZ0Oh3MGZXbKF++PNLS0nL8bNWqVejbt69Yp9IcdevWxa5du0ywl9L0/fffQyaT4d69e6beFcYYkwQO8hhjzEzMmDFDLK1bt8aXX36J5s2b44MPPsDGjRstdn/i4+PxySef4O2334Zc/uQrJzExEXPmzEG3bt3g4eEhTvDpRL+sUKA6b948HD161LhtzJgxSE9Px7fffpvj/pcvX0a9evVw/PhxDBw4UOwr7TvLiY7R+++/j9jYWFgDa3u+jDELQSUUGGOMmdadO3f0CoVCP2vWLOO29PR0vZOTk37atGkWuz+LFy/Wu7i46FNSUrJsv3v3LnUH6suXL69v166dWF+zZo2+rFy/fl38zV9//TXL9rfeektfoUIFvU6ny7K9Q4cO+uHDh+u9vLz0t2/fLrP9tESffvqpOLb0GheURqMRbST7cZfq82WMsdLGPXmMMWYGtm7dKnqXJk+ebNymVCrFrUqlstj9WbNmDfr06QN7e/ss2/39/RESEoL79+/j008/LfJ+tmvXTvTAFda5c+fEbaNGjbJsHzJkiNingwcP5ujJe/jwIdRqNYKDg4u8vyynpKQkKBQK0UaoR5cxxljxcZDHGGNm4NSpU2Lemre3t3HbxYsXxbBGGiZoiftz9+5dXLp0CZ06dcrxMzs7O/j5+cEUmjVrhhEjRoh1mm9IgYWbm5v4f+PGjcXw0d9//914/7CwMCQkJGDv3r2YNGmSGLJaHIcOHUKTJk1EUFOlShUxPJSG+2UPcB49eoRx48bB19dXHK/atWtj9erVOR7vwoUL6N69O1xcXODk5ISOHTvi5MmTOe5n+Bs3b97ECy+8AFdXV/H6zpo1SwT0FMTSvEN6HHptaD5mdk/bJ/obNMSXVKpUSfy9zHPtDPtw9epVDB8+HO7u7mjVqlWec/Lo740fPx4BAQHi79FjvvLKK2JYbX4K+nsFOXb02r/++uuoWLGieCwfHx907twZ58+ff+rzZYwxU8m4LMsYY8ykqKeoQYMGWbZRDxcFAnRCWRDUyxQXF1eg+1Igk3mOXGnsD81Vyq23zNRofiCdnFOCFUokQwxBnmF///rrryzHombNmuIE33CyT4HAc889V+i/TUEFzeWjnsy5c+dCq9WKuYGZg2lDYEmPTwHDa6+9Jn6+c+dOEbjQPEfaD/LPP/+IOZMUpLz11luwsbERQSP1cB4+fBjPPvtsjn0YOnSoeD4LFizA9u3b8eGHH4r2QL/XoUMHMYfyp59+wptvvommTZuiTZs2Bd6nAQMGiCBy/fr1WLx4Mby8vMTvZn9+gwcPFgH2/Pnz80zk8/jxYxGQ01y3CRMmiIsOFLxt2rQJycnJIhlQcX6voMfu5ZdfFr9Lz7lWrVqIiorCsWPHcO3atQI/X8YYK3OlPiCUMcZYvtLS0vRKpVL/8ccf65OSkvQnT57Ujxo1SszzmT17doEf5+DBg+J3CrLkN3+opPbnvffeE7+TkJCQ7/3OnDlT5Dl5bdu21Y8ePbrQv0dzAceMGZPrzyZMmKBXqVTG/3/++ef6kSNHGv8/ZcoUfY8ePfRF0bt3b72Dg4P+0aNHxm3//vuvON6Zv5LHjx+v9/f310dGRmb5/eeff17v6uqqT05OFv/v16+f3tbWNss8wcePH+udnZ31bdq0yfK7c+bMEX+Dnl/muXCBgYF6mUymX7BggXF7TEyMOAaZj21B9ym/OWqGfRg2bFiW7fTaZ/8danNyuVy0j+zym7tX0N8r6LGj5zZp0qQ8/x7PyWOMmSPuyWOMMROjHgGNRiOGQdIQOUPv0jPPPIOpU6cW+HHq168vhhQWRH5DJUtqf6jHg+bx0TC4kpBbTyVtox65yMjIAvdU0mM8ePAgz2GnNIQwJSVF9Po4ODhg2rRpWX7+xRdfFGn/qddu37596N+/vxhGaFC1alUxZPCPP/4Q/6eerc2bN4v5gbSe+bl17doVv/zyixgqSL1qe/bsQb9+/VC5cmXjfaiXkIZCrly5UvSwUU9VZi+++KJxnebC0dBRmmdIPXIG1LNJr/edO3cKtU8tW7Ys0LGg3rH8ULmN3377Db179xb7l11ec/cK+nv0WhT02NGxoOHL1EOY+XVjjDFzxkEeY4yZGA0HJBR0UJ02Ork+c+aMqNtGQ8ZoXhslO6GTa2dnZ3HiTfOCcgtOcpv/Vlr7ExERIZKe0ByzwMBAfPXVV2JOU2mhIZTt27fPdVgoBRnZ5wPSsMrc0P6TvII8w/DBkk4CEh4eLoJHCuqyy7yNjisNNVyxYoVY8nosuh8FovT6ZEfDMSngoXl2NG8uM3pNM6O5eTQM1zDUMPN2CtQLs08FRfPX8kN/j4KsOnXqFPgxC/N7hTl2VOdx9OjRCAoKEnM2e/TogVGjRmUJDhljzNxwkMcYYyZ25coV0fNEgRItdIJKPSYUhNDJ5OnTp9G2bVsRuFDPUm4BHqGkEtHR0QX6mzRniHpxirM/lISEegTphJl6qOg+//77r/hd4unpKXoEKXEFBafFlVtP5fTp08U+GJJfFKSn0hDk0ePlJiYmRhxnU2Q1JYai8ZQchYKL3NBrUdTi8rm97nm1BUPAW9B9KihTHduioHZNc/co4yz1/tHcVJq3uGXLFtEDyxhj5oiDPMYYMzHqOatbt26O7TSkzDCEjIZQNmzYUGyj4Y/U20C9a9l7tHLr6cpNfj1dBdkfyrJJw+KoV5ECIiqTQL9DWSnHjh0r7kcJLwx/qyQyhObWU0nbaH8K04NJQR79TvaeKwPaXzq+JY2Cc+oxu3XrVo6fZd5GATgFxXS883te9HM69jdu3Mjxs+vXr4vhqtT7VBIKuk8l1QNKf4+GStIFh9L4PbpfYY4dtZdXX31VLNRjScl5PvroIxHkcdkHxpg54iCPMcZMjIIqOuGkuWWUwdHQK7d8+XKR4bJ69epi25w5c0RtuaVLl5bqnLyC7A9liaRgk3r6DCjIo4yFBs2bNxe3Z8+eNUkZiLzQfLzM+50dzS0zlFgoSdRbRgESBceZ53dRgEdZKjPfb+DAgfj5559FsJJ96CH1nBp6Yrt06SICa0rZbwjaKQsm/S6VJsg+H684+16QfSKOjo7iloZ3FhUFWTRf7scffxTtJ/v8OuphzC24KujvFfTYUVBLFzRo6GrmYJ1eO3p/lNTzZYyxksZBHmOMmRAlAaG5P4SGQNJQOJq3RSnsqZYYpXLP3ANFKe7zUhJz8gq6P3Timz2AoP8b5nARmrNEwQAN5aTaatktW7ZMnBhTwEMo8Yih0DgVYc98Yl2SaD7YgQMHxFwrOlmnXjuaa2Uokk5DXqleXGFQ4EDHi+Yn5odKN9CQP0pQQnXbKIig40DH6e+//zbej8obUEF2mgP50ksvidT9tF8UgNLxNAzLpfIHFNhTUEK9TJTohsoAUABCz68kFXSfDMfy3XffxfPPPy9KE1AiFEMwVFBUXoGOFR1XKoVArxNd5Ni4caMoYZC57EVRfq8gx46GGtMFgUGDBomLKHRhg54r9aIb6giW1PNljLESZer0nowxZs2OHTsm0q+/+OKL+qCgIL2NjY1I7z948GD9xYsXs9y3Vq1aopyBOezP+fPn9e7u7ll+97XXXtNPnz49yzYqP+Dk5GRMr59ZhQoVilTiobglFKh8QdeuXcV+0d9aunSp8Wdvv/22eL75pejPjkpE0ONQKYGC2L9/v75hw4YifX+VKlX03333nThu9vb2We4XFhYmUvcbXgc/Pz99x44d9StWrMhyP3otDM+HyjO0b99ef/z48TzLF0RERGTZTsfP0dEx12Nbu3btIu3TBx98oC9XrpwoZZD59cxrH3IroUDu378vSiJ4e3vr7ezs9JUrVxZ/n8p85Kegv/e0Y0f3nzFjhr5+/fqitAIdJ1r/6quvCvR8GWPMVGT0T8mGjYwxxgqKMlZSjw71oOU3tI6GS1IvAiUFKc0egoLuD/XkUYIVmr9Wrlw5sY3mA1JiFsOcPEKPQz161DOSOUW/OaIeHBq2N3PmzEKVitixYwd69eqFixcv5jqXsSBoiCENdaXENYwxxlhx5V5EiDHGWJmg+U0UJD1t7hQNGzMEe+awPxRw0pBGmidIwzn//PNPMZw0+zBHGnL51ltviYyERc0GWVbWrFkjhto9rYZbdjSEkYbpFTTAo+OVGQV2FCi2a9euUH+XMcYYywv35DHGmAnRvCFKbkJziJ6G5sdR2naq3XXy5EmT7w8l26B9ylwnryTq9EkdZWqk+oLUw3n//n18/fXXoheRktlUq1bN1LvHGGNMAjjIY4wxE6JaciNHjsSSJUtgDsxtf6SIhrNS719oaKgIqCkLKSULobT8jDHGWEngII8xxhhjjDHGJITn5DHGGGOMMcaYhHCQxxhjjDHGGGMSwkEeY4wxxhhjjEmI0tQ7YM4o3ffjx4/h7OwMmUxm6t1hjDHGGGOMWTG9Xi/KKgUEBEAuz7u/joO8fFCAFxQUZOrdYIwxxhhjjDGjhw8fivJFeeEgLx/Ug2c4iE8rDMxYSdJoNKJmVsOGDaFU8tuUmRa3x/yFR2uwYV88hnRygY8HH5/SxG1RWtSPwhG3fD1cJw2DTTkfWBJui8xU4uPjRSeUIU7JC7fKfBiGaFKAx0EeK+svD0dHR9Hu+MuDmRq3x/ylaDSwdwCcxXcFH5/SxG1RWtTxKdDZ2cPF2Rk2FnaexW2RmdrTppJxq2SMMcZKkVqjx0+74sT6iG6usFHyHG/2hD5djZglP4h199dHQmZrY+pdYoxJAAd5jJkhmkjr7e2d74RaxsoKt8fi0Wj1WLcjXqwP7ezCQV4xSLEt6tUaxHy6Rqy7TRrGQZ6FkGJbZNLCQR5jZoi+NKpUqWLq3WBM4PZYPAq5DH3bOBnXWdFJsS3KlAq4jO1vXGeWQYptkUmLTE95OFmeExtdXV0RFxfHc/JYmZfvuHv3LipVqsRXCZnJcXvMn1anR1q6Hna2Mg7iShm3RWnRa7XQp6RBprKDTGFZAS63RWbu8Qm3SsbM9MsjIiJC3DJmatwe80eBnYO9nAO8MsBtUVoosJM7OVhcgEe4LTJzx0EeY4wxVgyxCVr8djhB3DLGCk4bGYO4VVvELWOsZHGQxxhjjBVDmlqPO4/U4jY3KWk6dH7tgVhonbHMdEkpuO3fTiy0bk10qelIv3pb3DLGShYnXmHMDNH4/sDAQB7nz8wCt8fi03JsVyIk2xY13AtsaSTbFplkcJDHmBl/eTBmDrg9Fo+djQy/zg8wrrOik2JbpKQjFS5tMa4zyyDFtsikhS8/MGaGtFotrl27Jm4ZMzVuj8Ujl8vg7aYUC62zopNiW5TJ5VD6e4uF1pllkGJbZNLCnyaMmSGqbEKpcbnCCTMH3B7z56SSo20jB3HLShe3RWlRuDrBsU97cWtpuC0yc8fDNRljjLFicFTJ0biGfZ4/V2v02HwwQawPbO8MGyX35rEn9OlqxK7YKNbdJgyGzNYG1kLu7AiHtk1MvRuMSRJfdmSMMcaKITVdh5sP0sVtbjRaPVZsjRULrTOWmV6tQfTcr8VC69ZEl5yKtIs3xC1j5iY1XYeDZ5Mw69sInLlqeZlvuSePMTOd0F25cmXO2sXMArfH/MUl6vDnsUSM6OYCe4+cx4iKpHd9ztG4zopOim1RplTAeWg347o10UbHIX7dNrhNGwW5Q9694eZIim2RQYy8oIDu4Llk/HUpBalpGRfmVHYyNK2lgiXhII8xM0RfGj4+PqbeDcYEbo/FY2sjw9ujPE29G5IgxbYos7OFz7J3Tb0brJCk2BatlVanx8WbaThwLglHL6QgITnnqIzr99Kh0+ktKnkWB3mMmSHK1nXlyhXUqVMHCoV1Xdll5ofbIzMX3BaZueC2aNn0ej2u3UvHgTNJOHQ+GdHxOQM7Zwc5WjdUoUMTR9SvZmdRAR7hII8xM/3wSUlJ4axdzCxwe2TmgtsiMxfcFi2PXq/HnUdqHDibjIPnkhAalbP8hb2dDC3rZQR2TWraW3SiLA7yGGOMsWJQKmTwdleI29ykpOkw5J1HYn3D/HJQ2fEcHvaELikF9+sNEOtUFF3uaFnzfoqD5iAqA3ysbi4iK1uPwjMCuwNnk3A/NGdyIxsl0Ky2Ch2bOOC5uirY20rjM5qDPAuz961fYV/eB60mtYNMZrlXFxhjTCo8XRUY2d013/skpfDVfpY3XXwirJHSzwvu00ebejeYBEXEaETylINnk3HjQXqOn1O+nEbP2KNDEwe0aiDNOqcyPfcz5yk+Ph6urq6i2KWLi4updwe3/7oD9YAXYaNT42btVqjz1esIquVr6t1ipVhkldofB/PM1Lg9Fg9N1n8cmXH1OMBLaXHzOsyJFNuiXqeD+m5GT69NpXKQcbZGiyDFtmjpElN0OHohGXtPJeHirTTkFuHUrWInArs2jRzg7qyQdHzCQZ4FBXmHx3yBwO2bjP9PsnVEyMjxaP/BQNja8JcCY4yZQni0Buv3xGNYFxf4ePAAGcYKSvMoDDFf/AT3qSOgLMcXrVnhUe3RM1dTRWB3/HIK0tU5w5pqQTZijl27xg7wlcBndEHjE8t/plakzZopuLioIhRLvoFDWiIc05NQddVSHNu1Dz6fz0CdDlVNvYushGg0Gly4cAENGzaEUslvU2Za3B7zR6cUWl3GLStd3BalRXQzaLW59riYO26LpkP9Uzfup2Pv6SQxHDM2MWdmzEAfJTo2dRS9dkG+NrBG3CotCA0HaPBmXyQOb42/JyyG/6lDYnuFR1ehHjYBf3QbjLZfjIOLm52pd5WVUHpmxswFt8fiXWmmYumkVyunPBO0MOtsi3q1RhQEJy6j+kBGWSCYRZBaWzR3oVEaEdjtO52Eh2E5E6i4OsnRvrEDOj/riBoVbK1+GC1/klggpwAPtPrzA9zacBxx7yyCW1y4mKdXa8fPuHz8MPTvvoGWo5tafeNmjDFzoNbosfTXGLHe9TlHDvJYFvp0NSJnLhbrzs935yCPsUyoMPnh88kiuLt8Ky3Hz+nt0rJeRmDXtJY9f75mwp8kFqzqkBZQ92iIs6+vgOe2LVDodfCLfQTMmI4/f+mCxl9NRkBlN1PvJmOMWTWFXIY2DVXGdcayUMjh2LudcZ0xa0cXxk7/kyICuxOXU6DO2WmHBtXs0KmZo0igIsXMmCWBE69YUOKV/IT+dR33Jy2A16Pbxm1xKjeET3gVHWd2hY2S3wCWWGRVpVJxjywzOW6PTx+OGZughZtz3rXyWMngtgjJDVXVRsVC4elmcT2Y3BZL/nheu5cuEqhQ6YP4pJzz7Cr4KdG5mSM6NnOURAKVouLsmlYW5BG9Vou/5/0CuxVrYKd50qX9b6XGKL90Omo9F2TS/WMFR29LGuuvUCj4y4OZHLdHZi64LTJzwW2xZCSn6kSP3bYjibj7WJ3j5+7OcrRv4oguzzqKLJl8rFHg+IS7dyREplCg4dwRCDr2A8LrNDVur3b3HPT9x+H3l9ciITHnG4iZH/riOHv2LE/qZmaB22P+4hK12HMyUdyy0sVtUVq00XFI+HWXuLU03BaL5+7jdHzxSzQG/+8RvvglJkuAZ2cjE1kxP57kjQ3zy+G1we6oXp4TqRSW9fZ15mP58uVisdQ3rnMVfzx3YBH+Xb0PKR8shVNSLOw1qaiz+TucO3IQtvOmo/nAOvxmYYyxEpCarseVO+moX90errn+XIeRc0LE+g9z/WFvy9dX2RO65FQ8eHaYWC9/aj3kDvawpueeevoy7Fs2hMIjt3cPk9pcu2N/J+P3I4m4lEsSldqVbdGzpRNaN3CAI8+zKzYO8nIxadIksRi6Qy0RBXDVx3dGev9ncX7SMnjv2ym2B0XchvbV1/DbT33RfNkE+JVzMvWuMsaYpNGkiKi4jIuGPEGC5UDD/kIjjeuMSU1YtEaUkdlxPBEx8Vnn2tnbydCpqSP6tHZC1SBbk+2jFHGQJ3G2Hi54bv07eLSnO0JeXwj3iGCRhbPesa243+oY/p48BZ2ntoWCkwUwxlipsLWRYcX//IzrjGUms7dF4IHVxnXGpECn0+Pc9VQx144yZOr0OZOo9GnjLEofcHbM0sGJVySUeOVpdKlp+PvddXD88WcodU/y0f7zTEtUXTwVtZr6m3T/2BM8oZuZE26PT79K/dOueIzo5mLVGd/KArdFaVEHhyF28Tq4TRsFm0BfWBJui7mLT9Ji98mMRCqPIrLWPqAKIa0aOKBvGyfUr2bHx62IOLtmCZBakGcQe+Uebr64AJ63/zFuS7ZxwL/9RqHjJ0Pg6mxj0v1jnJqZmRduj/lLTNbhws1UNKxuDycHviJdmrgtSos2LgEpxy5A1aohFK7OsCTcFrO6fi9NzLWj8gfp6qyhhaerAr1bO6FHC0d4ufGFsOLiIK8ESDXII3qdDje+3AbNZ99ClZpo3H7fuypks6ah3fN1+UPLhDQajcja1aRJEyiV/IHITIvbY/Hr6O07nSTWqXgv19IrOim2RaoVl7Bpj1h3HtTF4urFWSsptsXComBu/9kkbDuciBsP0nP8vHENe/Rp44QWdVU8LcgE8Yl1tkoGmVyOGlP7If35tvh70hfwPLxfbK8QcQvaqZOx6ceeaPzFRFSuapmJZxhjrCxPdGjIJg3VzG3OHWWUW/hDtFhv28iBgzyWhT5djYgpH4t1pz7trSrIo2kkmkdhUJbzhdzeztS7wwooOk6LbUcTxJDM2MSsiVQcVTJ0a+4keu7K+/LIMFOynk8SlitbX3c02/Q+Qnb3Qsi0z+Aa8UgkZml0+g9EdTyOv8dMRPd3ukJlx0OQGGMsNzEJWmzcn5DnnDyFXIZna9sb1xnLQiGHQ6fnjOvWRBsZi7ivfhVz8uQWNifPGt16mI7NBxNw4GwS1Fmn26FqkA36tXFG+yYOfM5oJjjIY4J/1ybwu7AOV+asg833P8NGq4ZHchQ8vpqPfTv2wOujqWjepaKpd9Oq0GRuxswFt8eio969jyf5mHo3JENqbZF6sPzXf2rq3WBFILW2mButTo+Tl1Ow+UAC/v43a207uTxjdMLA9s6oWZGLlZsbnpNnpXPy8pN04wGuTfwM7v9cMG5LVdjhUqfn0W7RSPj78pAKxhgz4OyajFlfdk2pS07VYdeJJGw5lIDH2bJkOjvI0bOVE/q3dYK3O3/mlTWek8eKzPGZ8mh88Avc/34PEuYug0NSLOy1aWi2ey1unjqEM69PRveJzWCj5Cs2pYWuvdCbl97EfGWMmRq3R2YuuC0ycyHVthgapcHWQwnY8VciklKz9gMF+igxsIMzujzryEMyLQC/QixX9IFVcWxX1Pz7JyT06gUdMj7AAmPvo+b7M7C1ywe4eDbC1LspWVR75/r16+KWMVPj9pg/GrLkpJKJ29ykpuswcs5jsdA6KzoptkVdcioeNBsmFlq3JjKFHHJXJ3FraaTUFilgvXI7De+vjMALsx+LOcaZAzzKkjn/VW98P9sffds4c4BnIbgnj+VL6eaCBmveRszxnrg3aSFcgu9CDj0aX96L+H6n8NPA8ej+QR94uHBTYoxZJ283JSb0d8/z5zQpwlAUmCdIsBz0eqjvBhvXrYnS3xues18x9W5YdXmXw+eTsWl/Qo4SCJTktXMzR9FzVynA1mT7yIqOz8xZgbi3qAO3M6tx69MN0Hy5GrbqNLikxeO5nxfj5MG9ULw7FZ0HPwM5Z45jjLEciVeWTs+Yb5RbiQVm3WT2tgj4c7lxnbHSFpeoxfZjidh6OBFRcVl7It1d5CJLJpVAcHOWfmIZKeMgjxWYTKlEtf8NR9oLHXD15c/hcvqE2P5MyBWop7yKn9b3x7OfjkX1ak6m3lVJDJdVqVSSGufPLBe3x/xFxGqw9WAC+rd3Fr162VHZhDpVOGFVSZBiW5QpFFA9Ww/WSBMSgbiVm+D60iDRq2dJLLEtPghTiyyZe04mIU2dtde4aqANBnVwRrvGjnwxSiI4yGOFZhfkh4bbFyJ0yxGEv70EjrERsNGp0eKvDQjrcgSnR76MPm+3g4sjXwEqTlrm+vXrm3o3GBO4PeZPpwMSU/TilpUubovSotfqoItLFLeWxlLaIs23u3AzDZv2x+PklaxzPik+bVFXJYK7etXsLCpgZU/HQR4rMr8BbeDTpQluvLsKyvWbINfr4JsYCt+v38fenc/BedYkdOpVgYdwFoFOp0NkZCS8vLwgzyubA2NlhNtj8Wi1ehy9mCLWW9dXQaHgz8SikmJb1Gs0SNp+VKw79mwtRs0w82fubTFdrcfBc0kiicqdR+osP1PZydC9uaMYfVDO28Zk+8hKF3+SsGKROzmg5heTkfRid/z78qdwvnlVbG9w7yRSJ/6NNa2HovWCEaheWWXqXbW4L487d+7Aw8PDLL88mHXh9lg86Ro95n0XKda3Lw6EioO8IpNiW9SnqRH24myxXuneHg7yLIS5tkWab7ftaCJ+P5yA6PisPaQ+7gr0b+eMni2d4ORgPvvMSgd/krAS4Vi3Kuof/RqP1+xA7Adfwz4pHvaaVLQ7uBYPuxzEibGvov/rz/EQTsaY1aHBDPWrZczJ44ENLAe5HPYtGhjXGSuK+yFqbD6YgD2nkkQvXmY1KtpicAdntGnowCMJrAgHeazEyORylBvfSwzjvDnjK9j8vgMy6BEU9wBBS2biz+3t4DHrZXTpGsBDOBljkuHurMDgjs7iNjd2tnIsnpaRXZOx7OQqO5T7/UtYI4WXG1xfHSpuWdHm252/kYaN++Nx+p+s8+3oNKtVA5pv54LalW15vp0V4iCPlTiFuwtqfjcTiRN6486kT+F477bY/uy/h5D44lmsaDcCHT4ahOoV7U29q2aLPoxdXV35Q5mZBW6P+aNMdEG+PK+lLHBblBa5vR1sq5SHJTJlW6Seuv1nk7CZ5ts9zjrfzsFehu4tnDCgnTP8vfg035rJ9HQZgOUqPj5evIHj4uLg4uJi6t2xSHqtFo+/2oL4T76DbVqycfsdjyp4MP41DJ7UkIdwMsYsWmKyDhdupqJhdXue58JYIWjjEpBy7AJUrRpC4eps6t0xe7EJ/823O5KAmGzz7Xw9FBjQ3lkEeE4q/hySsoLGJ9wKWKnX/yk3eTCqnfsZ6V06GrdXjr6NNp++gc3dF2DnnjDodHytIfuE7uDgYHHLmKlxe8xfUqoOZ66mitvcpKXr8NL8ELHQOis6KbZFXUoaHrYbKxZatya6hGSkHDglbi1NWbbFR+FqfP5zNIa++wjf/xmXJcCrVckWs1/0wo9zAzC4owsHeMyI+3FZmVD6eqLmT+8j8XBv3JvyGVSPgyGHHm2u7ULs+JNY1mk0ur3fG9UrcMHgzF8efn5+ZpW1i1knbo/FQ9ewbgdnDKni61nFI8m2qNMh/Z9bxnVmGcqiLd56mI71e+Jx+Hxyls8Omm9HSVQGdXRGrUp83sRyx0EeK1NObRuj9pl1eLR4PZK+WAulOh1uqbHo+ecXuHZ6Hw6/9CqGvlSbh3AyxiQ1Z2/hZG/jOmOZyext4b/xc+M6Y5dupeLn3TmTqdB8Oyp/QGUQ/Dz5FJ7lj1sIK3MyWxsEvj0K6uFdcHvqYtgcPS621wz/B9XmT8H6P3oj8J3R6NbeEwrOwskYs3D0OdakJtcKZXlPa3Bo19TUu8FMjFJknLqSip/3xOPK7azDdt2d5RjY3hl92jrzcExWYBzkMZOxCfJDjS2fIH7nMQRPXwK7iDAo9Vp0uvQbIscdw+LO49Djnc6oVdn6snDS0A9vb2/pDEdiFo3bY/7sbWWoU9lW3LLSxW1RWuQO9rBvVlfcWmtb1Gr1OHQ+WQzLvPNInSOZytDOLuje3FGUYmGsMDi7Zj44u2bZ0SWn4tGCtUhZ8QsUWo1x+yW/Bng0diKGj68JD1cewskYszx0EkeJWUjTWvZcjJhloddokHzgtFh36NAMMiVff7cGVAZh98lE/LI3ASGRT857SAV/Gwzr4oIOTRyg5M8LVsT4hIO8fHCQV/bSbz3A3cmLoDx73rhNLbfB/jq94TP9BfTr4gUbpcwqJnTfvXsXlSpV4ivWzOS4PeZPo9WL1OZuzopcT8hS0nToOS1YrG9fHAiVHR/DopJiW9QlpeBuxS5ivdK9PZA7Ws/QXr1aA21ULBSebpDZKK2iLSan6kQZhE374xGdrQxCzYq2GN7VBc3rqiDn6SosD1xCgVkk26rlUX3HEnivmIt0D0+xzUanRrdLWxD06kQsfPFPnL2WAqmjL4+IiAhJpQlnlovbY/6i4rRYtyNe3OaGztWeKW8rFj5vKx5JtkW5HHYNaoiF1q2JJiwKMZ+uEbdSb4t0IWj1H7F4/t1HWLE1NkuA17iGPRZN9cGyGb5oWd+BAzxWIizrsgmzCjKZDC79O8Cp83MI+XgNkr/bCLlOC++kCDy/fSH+Pr8PB4a9hJEv1YC/Fzdhxph5o7k0X8/0M/VuMDMlV9khcO9KU+8GKyVh0Rps3BeP7X8lIU39ZPCcTAa0bqASwzKf4fJRrBTwGTIzW3InB5T7aBLSR/XAg9c/h+zs32J7g5DzqLVkCjbs7Qu3ycMwtKcX7HlCMmOMMcbMxIMwNX7ZE4+9p5KgzdTZp5ADnZ91xPOdXVDez8aUu8gkjoM8ZvZsn6mEKjuWImHLfoS88yWU0dGw1anR6/ImhE87ivlbx6Dj6x3QpqFK9AJKAY3vDwwMlMycE2bZuD0yc8FtkZl7W7wdnI6fdsXj8IVkZM56Qdl3e7R0wpCOzvDx4NNvVvq4lTHLGcI5sBOcujRH2MerkbhqE+Q6HXySwjB65ye4cHE/5g4Yh9EvPYNKAbaS+fJgzBxwe8yf7L+r83ldYkpL1+HNpeFi/bMpPpwKvRik2BZ1KWkIGfi6WPffvEQM37QW4rqsQpFxa+Ft8erdNPy4Mw4nr2QtYO6kkoni5QPaO8PVibOEs7LD2TXzwdk1zVfatTt4NG0R9OcuPdmmsMXOWn2hevF5jOrnBScHyz2R0mq1uHnzJqpXrw6Fgr8UmGlxeywezq5ZcqTYFq05u6alt8UbN24iRVYBP+9JwIUbOQuYD+rogj6tneDIBcyZCeIT7sljFsmuZmVU2rkMCRv3IPS95VDExMBOm45+lzci7N2j+HD7GLSd1BZdn3O0yCxVdO2F3rx8DYaZA26PxWOrlGHeBC/jOis6KbZFmZ0N/NZ+ZFxn5o/a38krKVi5xQYPIiKz/MzbLaOAeY+WjpwvgJkUB3nMsodwDukKx24tETl/FRJWb4FMr4NvYihe2rMA5/7Zj5k9x2Lsi9VRs5L1DH9hjJUtKp2w43gierRwgqdrzt4lKn7eqoGDSfaNmT8qfu7Yow2skSY0Egk/bYfziJ5Q+mVcCDFnWp0eR/9Owc+74nArWE2XbYw/K+etFJkyKamKNdTzZeaPgzxm8RQuTvBdMBVuL/TE4+mLoDt/RWxv/OgM6qy6hD9O9MO2EYPw4iDvXE/AGGOsuMXQI2K04pYxVnB6jRaax+Hi1pzRe3v/mST8vDseD8M0WX5W0V+JEd1c0a6Rg7igw5i54CCPSYZdnaqouHM5EjbsRtisryCPjYWdNg0DL/+K0A+PYP6e0Wg8rhUGdXCBrY3M7Cd0V65cmTPIMbPA7bH4V/8v38qYr1O3qh0UFjiE3FxIsS3qtVqknsyYX27/XD3IJDLXUArS1XrsPJGIX/fGIzQqayD6TAUb9G4OdGnhA6WSXzNmfjjIY5Iik8vh8nx3OHZvhaiPViL++9/FEE6/xBC8emABzt1oimkdxmD46KpoUc98Sy7QCYyPj4+pd4Mxgdtj8U8U31gSninxinl+7lgCKbZFfWo6HvebYky8IuPEKyaXkqrDH8cSsXF/ghiOnVn9anYY0c0FjWvYm+05BGOEgzwmSQpXZ/gsfAOuI3sjdMbn0JzLNITz50vYfqEvtvUegFeG+aCiv41ZZu26cuUK6tSpI5kMcsxycXssHjoPrPDf5wyfExaPJNuiTAabZyoa15lpL8hsOZQgipjHJ2WqYA6gWW17jOjqgrpV7aXbFpmkcJDHJM2ubjWU37EcCb/uQsScr4GYjCGcA65sQNi9I/j8r9GoPrQFRvdyg7MZlVygzF0pKSmSyiDHLBe3x/y5OsnRq5WTuM0NZdhbM8u/zPdLiqTYFuUO9ih/7AdYI4WHK1xG9RG3pqTT6bHvdBJW/xGH8JgnPXcUc7duoMLwrq6oXt5W8m2RSQsHecw6hnAO6wHHHq0RvWAV4lZvhUyXkYVz6pFPcO52U0w+OAoDhlVBz1ZOPF+GMVYoFMRlPwFkjBUswLWr/4xJ9+HstRR8uzUWt0W2zP/2SwZ0aOoggjtzHO3DWEFwkMesagin98evw2V4T4S/vRjpZy4/GcK59SJ2XO+H7e364tVhPqhfPWM4BmOMPU1Sig7X76ejRgVbLnrMWCHoEpKQev4a7BvVhNzZsUz/9q2H6VjxWyzOXkvNsv3Z2vaY0N8NlQL4wg2zbBzkMascwhm4fTkSN+xGxJyvoI/KKKTe/78hnN9dHAWvHs0xsb8b/DxN8xah8f01atTgcf7MLHB7zF9iig6Hzycj0EeZa5CXlq7De99kFEz+8GUv2HGB5CKTYlvUpaQhdORMse73wwLIVdZT11Ubl4ikbQdhUyWozIK8sGgN1vwRh72nk5B5pCX1xlNw1+gZe6tti0xaOMhjVokyYjkP7QaHbi0R88lqxK7aYhzC+frRhTh/pwneODkSnftWxvNdXKCyk5f5/rm5uZXp32QsL9wei0enB85dTzWus6KTZFvU6ZBy+KxxnZWOxGQdft4dh80HE6DOVOrOz1OB8X3c0L6xA+SFmK4hybbIJIWDPAZrH8LpNX8qnIf3RMTMxUg7lVGrqNGjs6gdegk7bvfF+GN98OJgb/EFUFbpkjUaDS5cuICGDRtCqeS3KTMtbo/FY6uU4Z0xnsZ1VnRSbIsyOxv4fD3LuM5KPmPm70cS8NOurBkzKdnaC91d0LeNc5Fq50qxLTJp4VbJ2H+F1Mv9sQyJG3cj8v2voYuI/m8I50a0uHcE6/8djd9bNsOkwe5llmCB0jMzZi64PRadQiFDp2ZlO99IyqTWFmVKJZwHdTH1bkgOZcw8eC4Zq7bFZilkbqMEBrZ3xrCursXOqi21tsikhYM8xjIP4RxCQzhbiSGccas2A1oawhkmhnBeuN0E711+AU06VsSLfdzg4crj8BljgJ2NDJXL2YhbxljBye1tYVurirgtSRdupIqMmTcfpBu30UCczs0cMba3K3w9+PSXSR+3csayUbg4weujKXAe3gORM5cg9eRFsb3hYxrCeRE77vXF2DO9MLSnFwZ1cCnSMA/GmHS4OSvQr61znj/X6vT497+TzWrlbblMC8tCr9Ui7dJNsW5XrzpkVpTIQ+HlDtfxA0rs8e4+TseKrbE49U/WjJmNa9iLZGpVgzhjJrMeMj1Xccxh+fLlYqFu+Js3byIuLg4uLi6m3i1mAvT2SNy8F5FzlkMXHm3cHu7oi/UNRyGqTmNMHOAuiqWW5Hw9Q5FVlapkH5exouD2mD8K4tLS9bCzleUawKWk6dBzWrBY3744sMwTOUmJFNuiLikFdytmDNesdG8P5I4qWFOAq09Jg0xlV6zgNipOi9XbYrH7ZFKW5EbUw07BXdNaJX9MpdgWmWWIj4+Hq6vrU+MTDvJK4CAy66jlE71wNeJWbhJDOA0uBDTGrw1GIqhBIF4d5F5iVwnpbUkXGSg1M395MFPj9vj0lOyU1GFEN5dch4Glpuswdl6IWF8z218UT2dFI8W2qEtOxcNWI8V60LEfRIFwa6EODkPs4nVwmzYKNoG+hf59jVaPrYcSsHZ7HJJTn5zO+rgrMK63Kzo2cyy1nnMptkUmrfiEh2syVgBUv8frg8lwHkZDOBcj9YRhCOe5jCyc9/ti0o2e6NLaHWN7u8HDpXjDbeiL4+zZs2jSpAln7WImx+2xeCioW/9hOVPvhiRIsS1SUFfh/EZT74bF+ftmKpb+GoN7IWrjNkeVDCO6uqJ/O6dSr0cpxbbIpIVbJWOFYFerCgJ+/xKJW/YhavYyaMOjYatTo98/m9Di3lH8EjYSo841wgvdXTGgXdHSMjPGGGMsdxGxGnyzJRYHzyYbt1FHWo8WjnixrxtcnaxnTiNj+eEgj7GiZOEc2BmOXVog+tM1iFtBQzi18EkKw5Rjn+HvO43wa9RI/HksAK8McEOLejxenzHGGCsOtUaPzQcSsG5nHFLTngzNfKaCLaYOdUeNinYm3T/GzA0HeYwVZwjnvNeeDOE8/rfY3uDxedQKvYxdNXpjXmhv1K3lLObrVS7HWb0Ys9ZizB+sihTrs8Z7cQ8/y0KXmoawCe+Ldd8V70Nuz8FKdueup+LLX6PxIExj3ObiKBc9d9SDJ+eMtYzlwIlX8sGJV1ihsnDSEM45y6ENizJuD3f0EYlZrpRrhJ6tnDC2l6tIt16Qx+MJ3cxccHt8etFljRZQKpDrySZn1yw5UmyLVp1dU6eDPl0Nma0NZPKc74vwaA2+2hyDIxdSjNvoZe/dygnj+rjCxdF0QzOl2BaZZeDsmiWAgzxWpCycmYZwGvzt30gEeynevhjVw1XU1LJR5v2lwKmZmTnh9lg8lAFw14kksd6tuSOUCj6GRSXFtqhXa5Dwyw6x7vx8D8hseJAV9X5v2h+PH3fFIzX9yWlqrUq2mDLUA9XLm35kjBTbIrMMHOSVAA7yWFGlX7+LCBrC+dcF4za13AY7a/QWwzh9/R3w8gA3NK+b+5eDRqPhrF3MbHB7zF9MghYHziShQ1NHuBegp54VHbdFadFExIhRME4DOkHp7S62nf4nBcs2xiA4/MnQTDcnOV7q74auz5rP0Exui8xUuIQCYyZkW6MSArZ+gcTf9iNq1jIxhNNGp0afq1vQ/P5R/NJgFN4Lb4RGz9jhlYHuqBJo+quSjLGi9zrcD9WIW8ZYwenT0qG+eU/chkZpsHxTDP66+GRoJsVzfdvSVAc3ODnwMGfGCoODPMZKMwtn/05w7NwC0Z+tQdy3G2ncFryTIjD5r0UZQziTRmLizTR0b+FYIvX1GGPmOWfvfmhGLa8KfjZm0xPBzGdemvrmfbFuU71CrnPTpEyr02PzwXh8fzY9y4WSulXsMGUoXwRlrKg4yGOslMmdHOD1/iS4DOuBiJlLkHrsvNjeIOQ8aoVdxs6afbBL0wsHzyVjRDdXDGzvLK5e0mRuxswFt8eiS1PrMf7D0EyJVzjIKw6ptUV9Shoeth5lTLwis6LEK+evp+Lu+WRsiklAukNGVlEPFzkm9ndHp2YOZj/XTWptkUkLB3mMlRHbZyohYMuSLEM4qZB63382o/m9Y1jfcBRW/tYAfxxNwIT+7mjbpInZf8Ex60DzTZo2bWrq3bBork7W1TtTWqTaFuWerrAmETEafLkhBldPRKFHakbvHXVgDmjnjNE9XeGoMv/3i1TbIpMOTrySD068wkqLLjE5IwsnDeHMlIXzQkAT/NrgBUQ5eqNmBQUmD/XiAq/M5Ohrgj4H6fOQLzzklJyqw80H6SLjn4O9+Z+cWjJui5Y/NPP3w4lYtS0WKWl62KlTUCHmLlya1MArowJQKcByhmZyW2Smwtk1SwAHeay0pV27k6WQutimsMWOmn2xp3pPaBQ26NzMQRR89XbnjndmGpxFjpkLbouWiy6EfP5ztLg1cHeW49VB7ujQxPyHZmbHbZGZe3zClxwZMyG7mpUR8NtS+Hw9Cwofj4xt2nT0v7IR7+95G7VDL2Hv6WSMej8Ea7fHiaLKjDHzQu/La3fT+P3JWB493ZQ189VPQrMEeL1aOWHNDHe0lN+DPjnVpPvImBRxkMeYOWThHNQFQSd+guvEwTSTW2z3TQzD60c/wcvHl8AxLkIEeaPnhmDPqSSRrY8xZh7ik3TYeSJJ3OaGMgZ+tCZSLFxmgWWnS01D2MvzxELrUvLXxWSMnReCzQcSYPjaquhvg6XTffHGcA+oUhOR8PMOaGPiTb2rjEkOB3mMmQmFixO8PpyCwP3fwe7ZusbtjR+dwbxdb6Hb9W2IiU7DgrVRmLQwDFduS+tkgJn3hQiVSmVxw6nMaR7S/jPJYqF1VnSSbItaHRI37xULrUtBeLQGs76NwKxvIxERmzHv3NZGhhf7uuLb//mhThXLn2suybbIJKVIg4hpDGhoaEY6aD8/PzEulDFWMuxqV0W5P5YjccNuRM39CtqIGNhp0zDw8q9oce8I1jccg2uogymLwtC2kQMm9HODvxfPB2Clmya8fv36pt4Ni2WjlOHVQW7GdVZ0UmyLMlsbeH4w2bhuybRaPbYeTsCaP2h6wZMLGk1r2WPq8x4IkNB3lRTbIpOWQr3bvvvuO3z++ee4ceNGlu3PPPMMpk+fjvHjx5f0/jFmlSgfUkr7RijX5QfELVyDuNVbqaIy/BNC8MaRj3E28FlsqD8Ch88Dxy8li9p6w7u5wskC0k4zy6PT6RAZGQkvLy/IraxQc0lQKmQY1IGTd5UEKbZFmY0Sbi8PgaW7cT9NJFb596HauM3dRY5Jg9zRvrHlJVaxxrbIpKXArfLTTz/F1KlT0bdvX+zfvx9XrlwRC63369dP/Oyzzz4r3b1lzErQl8edO3cgc3aE18evI3Dfd7BrWsf48ybBp/DB7hnocuNP6NI1+GVvAkbOeYzfDidAo+XhYKx02iPdspyod45607mXrvRxWzQ/SSk6LNsQLaYRZA7werd2wtrZAejQxDHPAI96LpUVAiyyB5PbIjN3BS6hUKFCBRHoDRmS+9WmX3/9FTNmzMCDBw8gFVxCgZlTama9ToeEX3Yiat7X0EXFGe8b4hKAnxqOwQ2f2uL/Qb5KvDzAHc/VsZfclVNmGpwqvHgoUVJ4TMa8JB93BeRyfl8WlRTbIn22a4LDxLoy0BcyC+kVotPHYxdTRFHzyP/m3ZFKATaYNsxDEvPurK0tMmnFJwVuleHh4ahb90kyiOzoZ9RtzRgrHfTF7zK8Jxx7tEH0/JWI//43+paFf/xjvHl4Pk6Vb4GN9YbjYZg73v06Ag2fscMrA9xRNchyissyJkVpaj2Gz3os1rcvDoTKjoM89oQ+JQ0PGmdcQK90bw9kjiqYu7BojQjujl9KMW6zs5FhVE9XDO7oLIYoM8ZMq8CXi5o2bYoFCxaIKxfZabVafPLJJ+I+jLHiox44ukqTW0+cws0Z3gvfQODelbBrVNO4/dkHx/HR3rfQ4d9dkOu0uHAjDRMXhOKTdVGIiM35vmWsJNojyzjhpblIdJsXe1uZWFjxSLUtyhzsxWIJiVU27o/H2A9CsgR4zWrZY9Usfwzr4lKoAE8dHIaI6Z+KW0sj1bbIrHC45qVLl9C1a1eo1Wq0adMGvr6+YntYWBiOHDkCW1tb7NmzB3XqPJk3ZOl4uCYzd2II549/IuqDb6CLTTBuD/GqiO/rjcEdz2ri/3RyOaSTM4Z2coHK3jKGAjFmKSi4+2lXPEZ0c4GvBw/bYtJEhcwX/RSVZd6dh4scrw12F5meixLsUHAXu3gd3KaNgk1gxnklY6xk4pMCn+3Vq1cPN2/exAcffABnZ2cx2ZQWWv/www9x/fp1SQV4jJkSTeQODg5+6oRuMYRzVB+UP/kznEf0NG73j7yH/x14H+MufAfHtASkpuuxbkc8Rs0Nwc7jiVyri5VKe2SstHFbLHspqTos3xSDVz8JNQZ4FM/1ae2E72cHoF3jvBOrSBm3RWbuCnXJkQK6V155RSyMsdL/8qA6lAVJzazwdIPPkplizl7EW58j/Z9bYnvzWwfROOQsfq05FEcrtgXla/n0x2hsPpiAVwa6o3EN8x8exCyvPTJWWrgtli0q0bP01xhj4iBDYpU3hnugdmVpJ1Z5Gm6LzNwVelwJFUE/deqUsRi6v78/mjVrJho5Y8y07JvVReC+lYhbtRXRC76DPjEZtkkJGHn2O3QNO4JvaozGQ7eKuPNIjRlLw/FsbXtMHOCOiv6Wl76aMUuRrtZj6YZosT5liAdsbayv14PlTZ+WjoiZi8W694JpkNmZPllWZKwGyzbG4MiFJ/PuqN2O6uGCIZ0KN++OMWbmQV5SUhImTpyIX375RXTLe3h4iO3R0dEije6wYcPw7bffwsHBoTT3lzH2FDKlEm4TB8Opb3tEzVmOxC37xHafhzcx69EsnK/fFWsrDECKjQNO/ZOKM9dC0LOlE8b0coW7s8LUu8+YxfF0VWBsb1c4O+R+NZ+GR+/4K0msU2FogE+Q2RN6jVbMrSZeH06BzM605T7+OJqI736PRVLqk2H9NOrj9WHuKOddshcElb6ecJ/5okgoxhgzUZBHxc5Pnz6N7du3o1OnTlAoFMbMmlQQffLkyeI+K1euLOFdZMz60NAPb2/vYg0BUfp5wffbOXB+oRci314M9b/3IdPp0PjCTtS/dxKbG4zAPs/noNPJxJf6/jNJGN7FBQM7OMPOloeesJJtj1JGvRr5XSChn4/r7WpcZ0UnxbYos1HC438vGddN5c6jdJEl9urddOM2Nyc5Xh3kjo5Ni5ZY5Wno+Sq96cKH5ZFiW2RWml3T3d1dBHgtWrTI9ed//fUXevXqhZiYGEgFZ9dkUqFPVyP2618Rs+h7UZPJIK5mPSyrOhL37AOM27zdFBjXxxWdmjlCwUWbGXuquEStSCffop4Krk7cG84sS2q6TiTm2rgvHtpMOUS6N3fEhP5updqmtVGxSNr1Fxy7tRRzyxljJsiuSRNMqUxCXuhnnGGIsZJB76Xbt2+X2HtKZmsD96kvIOivH+HYo7Vxu+u1S3h350y8Fb0Z9tpUsS0iVotP1kXj5QWhOHP1yXwMZr1Kuj1KDWWvvXYvXdyy0sVtsWTRZ/z4D0Pxy54nAV6QrxKLX/fBjJGepX7RQpeShrTzV8WtpeG2yMxdgYM86qWbMGECLly4kONntI0ybvbu3buk948xq0RfGhERESX+5WET5Ae/tfPh99MnUFbwz9io0aLa/i348sT/MFRxEfivc/92sBpvL4sQCVpuBz8ZvsOsT2m1R2tBA2ZiE7RiKeDgGWZFbZHahDYyRixl1T5iErT4aE2k+IwPidSIbTRSlBKrrHzHH/Wrc+Zla2yLzEqDvGXLlokC6I0bN4anpydq1qwpFlpv0qQJfHx8xH0YY+bPsUsLBB39Ae7TR1PKtIyNIeHo9MtCfPX4SzR1fTLs+tz1VEz4OBQL1kYhPDrjZIAxVnDUwzfg7Udi4d4+lp0+ORX3avYRC62X6t/S60Wt1DFzQ7D/TLJxe/1qdiK4G9PLjbO/MiYRBZ7hS3Pydu7ciWvXruHkyZPGEgpUOqF58+aoUaNGae4nY6yEyVV28Jj5IpwGd0XkzMVIOXRGbLc5fgoTL/yNwUOG4QvbTngUKxOde3tOJeHguSQM7OCC4V1d4KTiyeaMMWYpHoSpsfjnaFz898nQSMoI+/IAN3Rrbp0FzRmTsgInXrFGnHiFmQoN/3j8+DECAgLKJHMXfQwkbTuEyPeWQhsaadyurFoeV4e9jG8eVEJC8pMhKS6Ocozs7oI+bZxho+QTA6kr6/ZoaRJTdLj0byrqVbPnix+ljNti0eo0/rw7Duv3xEOdaTBGp6YOeGWQu0lL52jjE5F64iLsm9eHwsUJloTbIjP3+KTQQV5wcDDc3Nzg5JT1zahWq3HixAm0adMGUsFBHrM2uoQkRH+yCnErN9M3mHG7Xf/O2NPiBfx6XpnlJMHfS4mX+rqibaPSSa/NGGOs6E7/k4KlG2LwOEKT5XP79efd0bSWyqT7xhgzk+yaISEhaNasGSpUqCCCvFGjRiExMdH4cyqK3r59+yLuLmMsM6o/SUOj6bYsyZ0dRTHewH3fwa5xLeP2tK170f7DSfiu+hl0bvykUi9N2J+3KgqTPg3DpVulO5eEWV97tKSekruP08UtK13cFgsmIkaD91dGYObyCGOAp5ADw7q4YNV7fmYT4OlS05B+/a64tTTcFpm5K3CQN3PmTNEdferUKezatQtXr14VQV3mung88pOxkkHvJbpCY6r3lF3daii342t4L5oBuZuz2KaLS0T63CUY+essfNM3Hg2feRLsXb+Xjtc/D8d730TgQajaJPvMpNsezR1lKtx6KFHc5oaCv2UbY8TCgWDxSLEt6tPSEfnuUrHQenFotHps3B+PMfNCcOTCkxI49araYcU7fnipnxvsbc1naKE2MhZxKzeJW0sjxbbIpKXA7/R9+/Zh6dKlIpNmp06dRPFzf39/dOjQQfTiER6uxZh0yORyuIzqg6DjP8F5aDfj9rQL16AYNQkzQ9djwWgHVAr4LzsnIApCj/swBIvXRyM6jq9uMka0Oj22HEwQC60zlpleo0Xcio1iofWiunwrFS9/HIqvN8ciJS2jnbk5yTFztCcWT/NBpYC8ax0zxqw4yKOrFZRh08DOzg5btmxBxYoVRY9eeHh4ae0jY8yElN7u8Fn2LgJ+/xI2z1TM2KjTIf67zfAZ/yI+r/kP3hzuDk/XjMn7NJXvj6OJeGHOY6z+I1YkpWDMmikVMozo6iIWWmcsM5mNEm6vjxQLrRcW1V9c+EMUpn4ejjuPM0ZS0DX3vm2csPb9AHR5ljNnMmaNCvxpUrlyZVy6dAnVqlV78stKJTZu3IjBgweLYumMsZJBQ6PpPWdOGbtULRog6MBqxH6zATGfrYE+JQ3asChEvjwXDdo2weoPpuG3e674ZU+8uIpM9cB+3BmPbUcSMaKbC/q2ceb6SxbKHNujJaEMtOP7upl6NyRBim1RZmsDz3cnFPr3dDo9dhxPwsrfYrNkP65e3lYkVqlR8cmQelbypNgWmbQUuGV2794dK1asyLHdEOg1aNCgpPeNMatFXxo+Pj5m9+VBJyPuU0Yg6K8f4dCtlXF7yuGzCO80Bj0vbcIP73qifzsnKP/Lyh2fpBPDh0a9/xg7TyTycDULZK7t0VxQQgtXJ7m4ZaWL22KGmw/S8dpnYfj852hjgOeokmHqUHcsf8vXYgI8mVIBuaebuLU03BaZuStwCQWNRoPk5OQ8U3XSzx89eiSyb0oFl1BgpkLZuq5cuYI6depAoTDfL7+knUcR+c4X0ASHGbcpK5aD9yfTEFuvMb7/Ixb7zyaLYuoGFfxt8GIfV7Sop+IhRBbCUtqjuaKvWerZJva2Mm73xSDFtkjtQ5+ckZ1Y5mCfb/ug4e9r/ojF74cTkfl6WedmDpg4wB0eLtI4JpZAim2RWWkJBeqxy++B6OdSCvAYM/WXfkpKitln7XLs3hpBx36A2+QRNPFIbNPce4SQoW9C/vY8vNUdWPE/Pzxb2974O/dD1Jj1bSSmLOKyC5bCUtqjuaIAr+e0YLEYgj1WNFJsixTg3a3YRSyGYC/HffR67D+ThNFzH4tMroYAjy6aLX7dB/8b48UBXhmTYltk0lKkPub169cjKSkpxzpjzPrIHVXwnP0ygg6ugf1z9Y3bk7YdxMMWL8Br1x+Y/3JGdrdalZ5kd/vnTkbZhXe+Csft4OKlDWfM1DXJvt4cI24ZK2l0YWz6F+H4aE0UYuJ1xh7hCf3cxEW0+tWfXESzNJrH4YicvUzcMsbMIMibOHEiwsLCcqwzxqyXbY1KCNj2JbyX/g9yD1exTZeQhMj/LcGjbi+jRvJ9fPmmL+ZN8EIFvyc5n05eScWEj0Mx//tIUVydMUtDvSqUbCiv6aZ0Qr59caBYaJ2xzGiIZqV7e8RC6wap6Tp893ssXpofgr9vPikW3qq+Cmtm++P5Li4iqY8l0+v00CeliFvGWMkqfK7ebEXPuZuasZJH4/tr1KhhceP8aS6Jy7AecOzaElHzvkbCT9vF9rS/ryO4ywS4vjgQLf73Ipq/5489p5Kw9s84hMdoxZy9faeTcehcMnq3dsIL3V3h7mxZz13KLLU9mtP7QmVn2Sfj5kKKbZHah8xRleW86sDZZJE1kz4fDfw9FZg8xAPP1X1yX2Y6UmyLTFqKFOQxxkr/S9/NzXJTris8XOGzZCach3ZHxIzPoL5xTxTQo2K/iX8cgtdHU9CtV1t0bOKI348k4Kdd8SILJ9UBpvkmu04kYXBHZwzp5AIHe85cZmqW3h6ZdEi9LV6/l4blm2LEcHYDKp03tLMLhnd1gb0tfx6aC6m3RWb5+NOCMTNE2WrPnDkjbi2Zqnl9UVvP472JkKkyUnprQyIQNm4WQke8DVlIKAZ3dMGP8wJELT3DUDYa+rZuRzxGzH6MzQfika7mEQOmJJX2aCpqjR6rfo8VC62zopNiW9SnqxE8+xv8+fwXmLzgUZYAr1lte6x81x/jertxgGdmpNgWmbTwJwZjZpyeWQpEbb2pLyDo6Do4dHzOuD157wk8bDUSMUt/gqNSh/F93PDD3AD0ae1krDcWl6jD8k0ZNfb+PJYIjZZPkE1FKu2xNNDQYpofldcQY2q3P+2OFwu34eKTUlukC1i/7IhG2tc/oeb+TVDoMgKG8r5KfDzJGwsm+aC8rw2kSuntLrIz060lklJbZNLDwzUZY2XCpkIA/NYvRNIfhxD57lJoQyOhT0lD9AffIHHTHnh9Oh2ez9bD68M8xFDN1X/G4eDZZPG7NC+Fiv6u3xOPUT1c0KmpIxQKnuPEzIOtjQwBXnl/nSrkMgxo72xcZ4zm3R25kIJvt8YgMjwV8dW6ie0qByVe6uOGvm2dobSCzziZnS1sKgaYejcYkyQO8hhjZTqHwalPezi0b4boj79D3KotYq5e+rU7eNxrEpxf6AXP2a+gnI8LZo3zwvOd00XhX8rASSj75ifrovHz7niM7umKdo0cIOeTZmZiCck6nLueisY17OHsIM81CHxtsGX2VLCS9+/DdCzfGINLt/7LmKmwwcaGI0XSqe97ucLVyXoSeWhjE5By+CxUbZtA4ZZxIYQxVjJk+iKkx3R2dsbFixdRuXLlLOvWWlGesdIqsqpSqURgJFVpF28gYvqn4tZA7uUGr7mT4DS4q/G5/3MnDd//GSdOpDOrFGCDMb1cRUpxKR8nU7OW9lhUYdEakTyI5pX6evC109JkyW0xOl6L1X/EYufxJJFR2IAuDrw6yA2VAp7UEbUW6uAwxC5eB7dpo2AT6AtLYsltkVlHfFKkb6OdO3eiXLlyOdYZYyXH1lb6X/h29Z9Bud3fIn71VkTNXwl9YjJ0kbEIn/QR4tfvhPen02FbtTxqV7bDp1N8cPFmqhjGefm/K+B3H6sxZ0UkqgXZYGwvNzxbx56/bEuJNbRHZhksrS3SvLsthxLw4844JKc+ie7KeSvx8kA3tKjLQYKlsrS2yKxLkRKvtGrVCnZ2djnWGWMlN5n77NmzVjGpW6ZQwPWlQSh//Ec49mlv3J567Dweth2D6E9WQZeaEdTVr26PJdN8sHCyN2pWfPLl+u9DNd75OgKTPwsTvX1cv7NkWVN7LA0paTp0ePWBWGidWUdbpM+hY38nY9yHIVixNdYY4DnayzCxvxtWveePlvUcoE9OxW3v1mLRJaWYereZBNsis06FDvJoWGZUVFSO7bGxsZIcsskYKxtKf2/4rZoHv58XQlneP2Njuhoxn32P4LZjkHzkrNhEV7yb1FRh2QxffPSKN6oGPck8d/VuOmYsDce0xeG4+G/WoZ2MMVZW7jzK+CyavSISjyMyMmZSZ13Plo5YNzdA1L2juZqMMVZaCj1c8969e7letUhLS8OjR49Kar8YY1bKsXNzqFo2RMznaxG7fD3ln4f6TjBCBk6D05Bu8Jr7KhRe7iLYa15XhWdr2+PYxRQxZ+9eiFo8BiU0oECP5rqM6+2KmpV4tAErPSo7GepXsxO3uaH6j1s+yZjWYKgFyaQpNkErPouo5Isu04ACah+TBrmjalDO4X0yB3tUvLbNuG5N5I4q2LdsKG4ZYyYK8rZty/gAIrt37xYT/gwo6Nu/fz8qVqxYwrvHGLNGcgd7eL43Ec6DuojELKmnL4vtiRt2IXnvcXi+/yqch/UQgR5l12zT0AEt66tw6Fwy1m6PQ3B4xpVzGrpJy3N17DG2txuq5XKCxVhxuTgq0LGpY54/p3bqlkcNPSYNiSk6bNofj437E5CS9iS68/NU4OUB7mjdIO95d7SdLlxZI4W7C5wHdDL1bjBm3dk15XK58cMo+6/Y2NiIAG/RokXo1asXpIKzazJTofcYXTxRKBRWPyFfr9Mh4aftiJr7FXRxicbt9i0awPuzN2FbrUKW+2u1euw9nYQfdsQhJCrrqAM60RrVwxVVAjnYKwxuj/lTa/Qic6KHiwI2Sj4+1tQW09J1+O1woqjhGZ/0ZL6lvZ0ML3R1waCOPCwzP/p0NTTh0VD6eEBma1lF382tLTLrEV/A+KTQJRQqVaqEM2fOwMvLC1LHQR4zFU7NnBOdCETNXobEzXufbLS1gfvUF+A2ZQTk9nY5Trx3nUjEjzvjERGbNdijYZ4vdHdBzYo8jLMguD0Wr4QCtcVf98aLdZqLxYGg5bdFjZY+X5KwbkccIjN9vijkNO/OCSN7uMLTVVHgQCd22Xqx7vbaMIsLdoqDSygwVnrxSaETr9y9e9cqAjzGTImuDl66dImzdmVCV3p9v5kN/w2LoKwY8CQxy6drENxuLFKOnc9yfzqR7t3aGT/MDRCFqN1dnnzcnbicgkkLw0RiBE7Q8nTcHosfEKz+I04stM4sty3qdHocOJuEsfNC8PnP0cYAj87xOzVzwNr3A/D6MI8CB3hEr9Yg+uOVYqF1ZhlM3RYZexqu2soYsygO7Zsh6PDarIlZbj/E4/5T4Ty0GzznToLC0814fxoqNaC9s8hqt/2vJPyyN954YmaYs1e3qh1GdncRiVr4iiwraQq5DD1aOhrXmeWhXptTV1Kx6o9Y3A7OSPBk0KKeSiR4qlyuaMPAZUoFnF/oZVxnjLGSwEEeY8xiE7M4DeyMSErMcuaK2J7w6y4k7T0hAj0K+DIHbHa2chHs9WrlhD2nkrB+95M5e1Rc/a0vI1Cjoq0YcsfFiVlJogsNb47wNPVusCK6dCsVq36Pw+XbGfU6DRpUs8P4vm6oXbl4w75ldrbwWfx2MfeSMcay4iCPMTNFk7lZ/uxqVkbAn8sR/8MfiJ73DXTxidBFxyFi8nwk/LIzIzFL1fI5Trgp0Ove3BH7zybj511xeBCWMUTq+r10zPomEpXL2eCF7q4iUQv3vGTg9pg3aiG2yoxbJp22+O/DdKzaFovT/2Qd0l29vC1e7OvKPf8lgA4fBbmWehj5c5GZs0InXrEmnHiFMcuhCYtC1Kwvkbh1f9bELNNGwn3yCHEikRutTo+jf6fgx51xuPMo6zCs8r5KDO/mio5NHKBQWOhZCGOsUB6GqUWtu4PnknN8Hozr45ZvOQTGGLPY7Jp01SIkJAQ+Pj5ZtkdFRYltUpqAykEeMxV6W1K7o/bHJxOFk7TvJCLf/hyaByHGbTZVy4tePSqynt8xp4QsP+6KFz16mfl7KTGsiwu6POtolenQuT0WT0qaDgPffiTWN39SDiq7Quc8Y2XQFiNiNFi7I05kzdQ9qYYAHw8FRvd0RZdmjqVysUeXlIJ7tfqI9YpXt3FhcAvBn4tMctk184oJ09LSYGvLtacYKwl0seT69euSumhSVhw7PYego+vgNnkEXZUS29S3HuBxvykIn/IxtNFxuf4efUm3qOeA5TN8sXCyN+pVfTLPJiRSIzLpjZzzGFsOJojaWNaE22P+ouK0+P7PWHGbl9R0vViY+bVFqnH49eYYvDDnMXb89STAc3OSi8y86+YEoHtzp1Ltzdcnp4rF2mhCIxG9cLW4tTT8ucgkMydv6dKlxhOh7777Dk5OTsafUQM/cuQIatSoUTp7yRhjhU3MMvtlOA3shIg3P0Pa2X/E9oT1O5C05y94fThFJG3J7eorbWtSUyUWKq9A9c/OXss4+aJ6e8s2xuCn3XEY3MEFvVo7wUnFvTLWjsoiRMfr8iyPYGcjw88fBBjXmXkIjdKI+oU7TyQhXf3ktXO0l2FIZxcMau8MlX3pv79lKjuUP7fBuG5N9BottGFR4pYxZqIgb/HixcaevG+++SbLZFPqwatYsaLYzhhj5sKudlWU2/4V4tf+jugPvoUuIQm6qDiEv/KByMTp/embsDHU3MtF/Wr2Yrl2L00Ee8cvpYjtMfE6rPgtFj/sjEOPlk4Y0M5ZDOlkLDdyuQx+ntw+zMW9ELXIrkuJlzIPyxTlVto5iYL1rk5ll1BDJpfDprx/mf09xph1UBamCDpp3749tmzZAnd399LcL8asGvUmqVQ8ub+kTqBcx/aHY/fWiHznCyT9cUhsTzl0Bg/bjIL7jLFwe3koZDZ5fxzWrGiHD1/2xu3gdPy8Ox6HzieDRq6npOmx+UACth5MQOuGDhjc0Rm1KknvSjy3RyaFtnidLtbsjsdfFzMu1hjY28nQu5WTeP96uXEwzgqGPxeZuePsmvngxCuMSU/S7r8yErM8Cjdus61dFd6L34J9w5oFzr636UAC9pxMQlqmYV6kViVbDOnkgpb1ufyCtQiL1oieXqqx6OuRM0igYZy/HU4Q6/3aOkPJmVrLDJ3iXLiZhvW743HuetY5by6OcvRv54z+7Zzg4mi6VPh6tQZxq7aIddfxA/K94CQ16uAwxC5eB7dpo2AT6Gvq3WHMurNrkuDgYGzbtg0PHjxAenrWLHSff/45pIKDPGYqOp0OkZGR8PLyglzOc75Kmi4xGdEff4e4lZvoLDBjo0wG1xcHwuOdlyB3cijQ48QlavHH0URsPZwghnBm5u+pEMXXu7dwgkMZzOspTdwe85earsOjcA3K+ShhbyvPNbtmz2nBYn374kDOrlkGbVGny8iWSz3v17Jly/V0VWBIJ2f0aulUJnPuCpJd827FLmK90r09VpVdU5ecCvWdYNhUDhRzqS0Jfy4yc49PCn25aP/+/ejTpw8qV64ssgrVqVMH9+7dE1fLGjVqVNz9Zoz99+Vx584deHh48JdHKaAgzuujKXAa1BkR0xYi/Z9bItijoC9x+xF4fzINjt1aPfVxaN4OFU2nnrsDZ5OwaX8C7jzOqLUXEqXF8k2x+H57nDiZpIDP290yr9Bze8wfBXZVAvPOLk09uh2bZlw44N7d0m2LWq1e1Lej4I7m3mUW4K3E853NsBSKQi4SQRnWrQkFdnZ1qsIS8eciM3eF7slr1qwZunfvjrlz58LZ2RkXL14U9fFGjBiBbt264ZVXXoFUcE8eMxWNRoOzZ8+iSZMmUCotMzCwFDRUKvbbDYhZuBr6lDTjdsdebeH18etQ+nkV/LH0ejEkjIK901ezDg2jc7d2jWnenguql7escjPcHvOXlKLDlTtpqFPZDo6cbdUkbZGyY+46kSiyZdIFlswql7PB8K4uaNvQoVTLILDCo2RYKacuQ/VsXcidHWFJ+HORSa4n79q1a1i/fn3GLyuVSElJEeUU5s2bh759+0oqyGOMSR/Nf3F/bTicerVDxIzPREIWkvTnYaQcPguP2S/DZVQfkcDlqY+VqfzC3cfpIinL3tNJUGsArQ7YfyZZLPWr2WFQR2c0r6MSmReZZUtM0YlkHhX9bTjIK2PJqTpsO5qITfvjRRmLzGpXtsWIrq54to49J8cwU9q4RCTvPArbGpUsLshjzNwVOshzdHQ0zsPz9/fH7du3Ubt2bfF/GpvMGCs+OiGhqzR8YlJ2qJSC/4ZFSNy8F5GzvoQuMlZcZY6csQiJG3bD+/O3xIlIQVUKsMWbL3hiXB83bDuSgN+PJCIuMeMk9OK/aWIJ9FFiYAdndH3OMde5XOaC2yMzt7YYFa/D9r9i8duhBCSmZB2Q1LSWvei5q1fVjtssKzX8ucgkF+Q999xzOHbsGGrWrIkePXpg+vTpuHz5siirQD9jjBUf1aGk9xgrW/Rl7TyoCxw6PIuo978SxdNJ6pkreNhhHNwnj4DbtJGQ2xe8TIKHiwJjerlhWBcX7D2djI374/EwTCN+FhyuwRe/xGDV77Ho/KwjerVyEsGhueH2WDyUeGX4rMdinYqic+KVoqHh0FfuqPH7X944+neo6B03oPPs1g1UGN7V1eKGQ1PilfuNB4v1Cuc2WlXiFUvGn4tMckEeZc9MTEwU6zQvj9Z//fVXVKtWTVKZNRkz9YTux48fIyAggCd0m4DCwxU+S/8H5yFdETH9U5H9jcZcxny+Fom/7Yf3ohlQtSpcoik7W7kI4nq0cMTpf1Kx8UA8LtzImANIPRFbDyWKhUow9G7thLaNHMymd4/bY/EZenFZ4aWk6rDvTBJ+P5xoTGyUea4rXSB5vosLyvvawFLpouJMvQuskPhzkZk7ydfJe/jwIUaOHInw8HAxh3DWrFkYPDjjitnTcOIVZio8odt86FLTELv4B8Qs/ZEKnhm3Ow/rAc/3XxUBYVHdepiOzQcTcOhcco56e44qGTo3y+jdq1zOtD0T3B6fXkrjyIVktGnoIDKu5pbO/35oRnBSwc+G52EWENWjpGHOu08mIinbkEw354yLJlTE3FKz1hrodTqob94X6zbVKxRo/q9UaKNikfjnYTj1aguFpxssCX8uMknWybMkISEhCAsLQ4MGDRAaGorGjRvj5s2bYm7h03CQx0yFvzzMT9q1O6JXL+3MFeM2uZcbvOZPhVO/jsWal5GYrBMJWv48loi72XoqCPXu9WzlhHaNHEwy1I/bIysrWp0eJ6+kiF67s9eyZqgltSrZoE65cIzqXwsOKsvtuWOWjz8XmeSya1oaSg5DC/Hz8xNFK6OjowsU5DHGmIFdzcoo9+dyxK/bhuh534ikLJScJXzCXJGYxevTN2ET6Fukx3ZykKN/O2f0a+skCjdTsHfw7JPevat303H1bjS+2hiDTjR3r6VTvnXZWNmi2mzJaXo42Mk4RX8xekN3HE8SSYrCorOWQKCadp2aOqBvW2dU8pfj7Nn75lXnjhWZXqOBLjEFcicVZBwoMVaiTD4m4MiRI+jdu7cY00xXwn/77bcc91m+fDkqVqwIe3t7PPvsszh9+nSR/ta5c+eg1WoRFBRUAnvOWOmh8f3e3t48zt/M0DAq1zH9EPTXD3Ds2ca4PXnfSTxsORKx326EXqst+uPLZKhVyQ5vjfTExo/LYcpQd1QOeNJbkZSqFz0cL80PxaSFodh5PFEk9Sht3B7zFxmnxcrfYsVtbjRavQjcaaF19sSN+2n4ZF0UhrzzSBzDzAGev5cSLw9ww4b5ASJTbbUgW0m2RarVGf/DNrHQujXRhEYh+oNvxK2lkWJbZNJi8ssmSUlJqF+/PsaNG4cBAwbk+DkldXnjjTfwzTffiABvyZIl6Nq1K27cuCGKsBMaiknd5tnt2bNHBI+Eeu9GjRqFlStXlsGzYqx46EujSpUqpt4Nlgelvzf8vv8IiduPIPLtz6ENi4I+OQVR7y1F4pa9otyCXe2qxfob1LvXr60z+rZxwnVD7965ZKSmZwQJ1ON37V40vtoUg45NHUWyltLq3eP2WDxqjR6f/xwt1js2dYDSynv7qHD5oXNJ+O1Iomjb2TWrbS/afrNa9jnmL0qxLerT1Yh441Ox7jSgs6jdycyfFNsik5ZCz8k7ePAg2rdvXzo7I5Nh69at6Nevn3EbBXZNmzbFsmXLjNmMqCdu8uTJmDlzZoEeNy0tDZ07d8ZLL70kkrDkdz9aMo95pb8VFRVlHPNKb2paaD9oMTBsp57CzIc0r+2Uepeeb/bglLYTun9BttM4cHrczNvpcen+2fcxr+38nMzvOdFy584dlC9f3niV0NKfkxRfJ9quiY1H1AffInHdtkwPpIDrpGFwfX0kZPa2JfacklJ0OHQ+TQR8tx/lnLtXo4ItOjdToXUDe7g5K0rsdSL3799HhQoVsmyzpNepNNteeIwWP+yIxfAuTvDxUObYdwpqPvo+Rvx/9ngvMdTQ3J9TabxONN90/9kU7D6ZnCPbqJNKhu4tnNCrlSP8PeV5PidaqC1WqlRJPL6pn1NJvE761HREvDxP3N935fvQ2ygt/jk9bd8N29PuP0bskh/gOvUFKAN9Leo5qdVq3Lt3T3wuGrZJ9XXi5wSzek4xMTHw8PAo+Tl53bp1Q2BgIMaOHYvRo0eX6tBHKrpOQyz/97//GbfRk+vUqRNOnDhRoMegAz1mzBh06NAh3wCPfPzxx6IsRHYXLlwwzuGjrnm6cnP37l1EREQY70PHhBZK6kIH3aBy5cqix/HKlStISUkxbq9Rowbc3NzEY2duCPXq1YOtra2YzJsZTeyl43Hp0iXjNmoYFADT37t+/bpxu0qlEr2jVJyeAgUDmqRJNV0o5W9wcLBxOz8n83tOVJKEMsPSvhsSelj6c5Li60TPKTQxHsGDW8OmVjk4LdsMZXC4yMIZ98WPiNq4C4mvDYK6bpUSe06dm9ZDjxZe+G33JZy56YCL91RQazJOiq/fTxfL8k2xqOyXhvqV0zCyXy3o1AnFep08PT3FxS76sqFbS3ydSrPtAU7i7166dBduTtpcn1Pvhv/tv9wDKSnm/5xK6nW6fT8Gm/c9xsU7KoTG5kyU4u+uxnM1ktCmvg3q1wsSz+fs2byfE32nx8bGiv2gk2vJtL3X+onXiGpwXrt2TRrPqQBtj0ZlySMicP/SJehC3S3uOT148EA8Hn1PS/l14udka1bP6datWyiVnjzawR9++AFr167FP//8I4Kn8ePHi943Oggl2ZNHT7pcuXI4fvw4mjdvbrzfW2+9hcOHD+PUqVNPfUwq3N6mTRvxIhnQ/tetWzfHfbknj5+TuTwnuu+ZM2fQqFEj42Na+nOS4uuUfbs+LR3xX/6M2KU/ibp6Bk7De8Bjzquw8XAt8edEvXsHz6Vgx/Fk3ArO2bunVACNa9qjbQN7NK9rD0eVvNCvE62fP39etMfM808s9XUq6548S3xOxXmdEpJ1OPp3Cg6eS8XFf598pxqfqyKjcHmf1g4ic6xh9EJBnhP9DWqLlCmbzjmsve1Z+nOy5J48Ol80fC7S70v5deLnBIvsyStWCQVq3GvWrMH69evF/4cPHy4CPopWzSXIKw4uocBMhVMzW7b063cR/sbCLOUWFN4eotyCY9/2xSq3kBf6KL8drBbz9g6eS0JoVM4kIDTV59naKrRv7IDn6qoKXI6B2+PTjz19D1P8WxqvrSWgIaknLqeIouWn/0nJfI3DiAK6Ts0cRSkQw3DiwuK2KC3iFJROhv87wbYk3BaZpEso0NULKktAQ3kWLFiA1atX46uvvhIBGSVKqV27dnEeXpQ7oAiX6txlRv+nv8uYVNGVGjF0h7N2WSTbGpUyyi18/zuiPvgG+sRkaCOiEfbSHDhs3A3vhW9AWa5o5RbyQidIVYNsxfJiX1cxbJOKrFPQFxmbEfDRifexiylisbeVoXldFdo1dhCBX34p6bk95i/jamzeP09N12HsvBCxvma2P+xt5ZKpaXfxZpoI7I5eSBbZX7ML8lWiU1NHdGjqgHLexa9rJ8W2qEtOxcNWGdNJgo79ALmDPayFCOwsNECSYltk0lKkdxZNNv39999FULd3715xFYMSowwbNkyMHX3vvfcwePBgXL16tVg7R0MxaEjG/v37jb171G1J/3/ttdeK9diMWcKXB7Pwcgvj+sOxW0tEzFyM5J3HxPbkPcfx4K8L8HxvIlzG9oMsv+igqH9bJkPNinZimdjfDf/cSRPB3uELyYiJzxj6QVk6M3r9kuFgL0PLetTD5yiGdtooc2Y05PaYt+h4LfadThK9VB4uOV9P6qwwlAYo+tgZ8+l5oWHB9HwPnE1GVC5lIzxc5OjQxFEcj2pBNiXaQyPJtqjXQ/Mw1LhuTTTh0UjctAdOg7pA6eMBSyLJtsisO8ijrJY0PJM+6CmRycKFC1GnTh3jzylByWeffWYsXfA0iYmJWSYQ0iTDv//+W4w1pcyCVD6BErxQINmsWTNRQoHKLlDiF8akisZy02Th6tWrG8d9M8ukDPCB39r5SPrzMCJnLoY2PBr6pBRE/m8JEjb/V26hZuVS+/uUgr5uVXuxTBrsLuZIUQ/fkQvJiE/KCPiSU/XYezpZLM4OcrSqn9HD16B6RsDH7fHpJRKCwzXiNjfUS/rVWxk9t5ZaxDskUoP9Z5LEcj8051hMulDQuoGDKBHR8Bl7KLKVPigpUmyLlIG33J4VxnVrQuUj1LcfiltLI8W2yKw8yKPeuS+//FLUtLOzs8tzmCWVWigIGs+cuSQDBXWEArvvv/8eQ4cOFb2Ds2fPRmhoqKiJt2vXLvj6luxQJ8bMCV1EobHWxZgyy8wI9WQ49W4HVevGiJr3NRJ++ENsTzv7D4I7jof75BFwf2MUZHale4JHJ96NnrEXCxVaP389VfTkHbuYjKQUvTFpxs4TSWKxt5OhQTU7NHrGFraaJFStquOTmSIe9xoVc/++NFdUtP3q3TScuZqKs1dTceNBznp2CjnwbB0VOjV1EEN/7cpgGKoUPxupN9++YU1T7wYrJCm2RSYthU68cuTIEbRo0SLHJFOagEoJUiiTpVRw4hVmKjyhW9pS/rqAiOmfiivYBjbVKohePdVzTzIBl2XSjDPXUkQP31+XUpCalvvXgre7Ak1q2KNJTXs0qmEPVycO+Mi2Iwmih3RCfzf4/pdd0xKFRmlw9lqqSJxy4UZqrnPsSN0qdqLHrm0jhzJvA/zZKC3q4DDELl4Ht2mjYBNoWRfvuS0yySVeoV63kJAQUWMiM/pD9LPsqUQZY4xlpWrZEIGH1iB28Q+IWfqjqKun/vc+HveeBJex/eE5ayLkzhm1OcsCDSFsWc9BLJQk5NSVVPx1MRnnrqciJuFJ+uaIGK2xl4+mWVULshUBX+Ma9qhd2c5ihyIWB/V8Lt0QAz+PvIMdrTZj/iOhzKYKhXkcJ3qtKTil3rozV1PwMCyXlJj/qRJog/aNHNChqSP8PPmEtiTpNRok/nZArDv16wAZBwyMsRJQ6E8S6vjLbRI11ZIzFAxnjBV/QjcV7OSsXdJFRY89/veiKKkQMe0TpJ2/JrbHr9mKpN1/wfvTN+DYpWWZ7xdlfqQeGlp0Oj3uPlaLAODEpQTceKiDYeoMjQG5+SBdLD/vjhfZOutVszMGfRX9Szbhhrk6cSlZlE+IjNNCZZv7803X6DH/+4wi8i3rq6AyUZBH39/3QtT/9dal4tKt1FxLHRAXR7lIwtOsFvXcquDpah69tlL8bNSnqRH+ygdi3bF7a6sK8hRuznAa3FXcWhoptkUmLQX+JKE5eIS+tMeMGZNlPh713lHFdxrGyRgrPvrSyN5bzqTJrlYVlNvxNeJWbkb0xyuhT06F9nE4QkfMFFf1Pee/DqW3u0n2jZK2VAm0FcvzXVyRlq7D5dtpOHctFWevp4q6fAaUrZMCB1oIBQUU8BmGdroXsS6auaOMpRTLUvB79W66qD+YHeUgocDXsF7WPY3UI3v2aorosYv4r5xGbvtYq7IdmtJrVsse1cvbllrylOKQ5GejXA5V2ybGdWsid3IwyRD1kiDJtsisc06eIZvl2rVrMWTIEKhUqiylDipWrIiXXnpJJF2RCp6Tx0yFLpxcuXJFZK7lRBfWQ/0gRMzVSzl0xrhN7u4Cz3mvwXloN5P1jOXVHql0ACVvEUHEtdRc0+kb+HgoUC3QFtXK26JqoI0Y6unlZnkFkDNLTtWh34xgGm0rgiSap/a/Mab7DqRhoQ/C1Lj1UI1bwemidMb1e+nQ5fEt70NzLGtRb51KJONxcjD/AIM/G6VFl5iMtCu3YFenqgj4LAm3RSaZOXlr1qwRtxTMvfnmmzw0k7FSRNdeUlJSOGuXlbEp7w//DYuQuHE3It/7ErqYeLFETJ6PRCq38NmbsKlQsPI0ZdEeqSYc1UKjJfNQQAr6qEh2mvrJ/cOjtQiPThGJXQxcneSoSoFfkI2xkHugt1L0IFqCU1dSRIBHKJCiIvOUlVJZBsMxU1J1uP1IjdvB6fg3OB23H6px53F6nsMvCc2ZrP/fkFoK7Mr7KS0uyObPRmnRxiaIzztloK/FBXncFpm5K/TA7zlz5kDqli9fLhZOIsMYK2t00u08pBtU7Z9F1HtLkbhln9hOvXsP24wW8/hcXxpUKkXUi7vflQJsxTK4o4vI2Ek9SRT0XbmdJnqWUrJl7YxLzBhKSIsBlW2gwM/Q20eBH83vy16g3VyGalIZAe1/uWno+VEiE8PQzJJCPaa3HqaLY2jopXsUoSlQ3ewK/jZiCGbTWvaoV9WuTMocMMYYs5Agr1GjRti/fz/c3d3RsGHDfK/8nT9/HpZu0qRJYjF0hzLGWFmjeXi+386B08DOiHxrETSPwsV8vahZy5C4ZT+8F78Fu9pVYa6o14iKYtNCKInL40iNCFb+/S9Q+fdBOmITn2TvJFS+gYJCWgyUCohAjwK+SgE28HZTwMtNKeb90VJaWT3jErX4eG0UUvIoJXDtXpoxwDNMp/rsxyj4uGf9atXp9SI4owB2/YcBIrlNXr1zEXFa3HmkzhTUpSM6Pusxyg19LZfzVorAmDJhZtzait5WZt50yakI7vKSWA/csxJyh5K9SMAYs04FCvL69u1rTLTSr1+/0t4nxqweje+vUaMGj/NncOzSAqoWDRD14beIX71VpLVMu3ANwZ1ehNt/RdQpU6e5t0caghnoYyOWdo0zttEwJ8pKKXqnRPCXEdiERmUdRUFDIm8FU2D4JNFL9kyQXhTwuWUEfV6GW9cn/6fEL4UtXUC9h1Q2gjKMFgRl2QyL1oolNzR8dcdfiUhM0SM6TouYBK3opaMgjtbzqk+Yc7+AygHUy2mT0esZZIvKATZQ2Uu/l06Sn416PdQ37hnXmWWQZFtk1l0M3Zpw4hXGmDlJPX0Z4dM+gfrmfeM2m6rlM4qoN68PqaCMkIaerH//6/l7GKrOM4FIQdA0P3eXrEGgo0outsv+WzLWZVn+Tz2QlJXyyp10mIKzg/xJMCcCOhuU97Uxm1p7rPj0Wi1ST14S6/bP1TO7odilSRMejcRNe+A0qAuUPh6m3h3GJBWfcJCXDw7ymKloNBpcuHBBDI9WWlHNJPZ0+rR0xCz5ATFf/IjMWTZcxvSF5+xXSqWIujm0RyrcffeRWsxFo96/yFityOYpltiMbfklHTFnFMh5uMhFEEoLBXE0J5F66CgDpqUlRylN5tAWGSPcFpkksmvSXLyCfslER0cXfC8ZY3nixD8sNzI7W3i8PR6Off4ron7uqtge//3vSNp9HN6fTodj15aSa480j61mJTux5IauV8Yn6YyBHwWBFPhFZbuNidcWq0ewMCh7aJCvUsyLMyzuxnW5GELq5lx6cwqlytRtkZUc0c9Ar6fCMi9mcFtk5qxAQd6SJUtKf08YY4wVmF3Nyii3/SvErdqK6I9WQJ+cAm1IBEJfmAmn/h3h+dFUkxVRNwU6QXR1Uoilcrm876fV6UWgR4EgZcOkc0xaKDnKk3U6+3yyjf5v/JlOh3U74vEwTJNvsPi/0Z7o/KyjsX7dicsZpSOa11XxUEuWhV6jQfKe42LdoUsLyKyoV4gSSsUuXge3aaNgE+hr6t1hTFIK9EkyevTo0t8TxhhjhUJzd9wmDIJj91aIePMzpBw4JbYnbt2P5MNn4fXhZDHXxRKvkJcWhVwmMnPSUhRUB+/zn2PyDfCorMLtR+nojIwgL12jx+wVkWJ9++JAqDjIY5no09QIHf2uWK90b49VBXmMsdJTrFRcqampYlxo5oUxVnyUratevXqctYsViE2QH/x/+RQ+X70HuXvG+HxddBzCX/0QocPegjo4rFiPz+3xCaqDl5StpEL22u1UVuHguWRjkWT6ee3KtmKxkDrvZkuSbVEuh33TOmIRdTiYRZBkW2SSUuhPk6SkJLz22mvw8fGBo6OjmK+XeWGMlQxbW1tT7wKztCLqg7si6K8f4dSvg3F78v6TeNhqJOJWb4WecvwXEbfHDEf+K4BuQDGbv7dSnJtnPj+n0guGkg9UgPzLN/3EwsXIi09qbVGuskO5HV+LhdaZ5ZBaW2TSUuhvm7feegsHDhzA119/LWrnfffdd5g7dy4CAgKwbt260tlLxqwMTeY+e/YsT+pmRSuivnIu/NbNh8LPS2zTJ6Ug8u3P8bjPZKTfelDox+T2+GQ+3+HzyaKnzjACdmhnZyx41RttGjqIYuSG7RTwUUDISha3RWYuuC0yyQV5f/zxB7766isMHDhQpIxt3bo13nvvPcyfPx8//fRT6ewlY4yxQnHs3hpBx9bBeWRv47bUU5cQ3G6sKL+gt9R6Ayb0z500kcHTUPbgk9e8MaG/O/w8lZg2zAPfvO2HQR2cxc91/w3ZZIzlTennCY9ZL4tbxpiJgzwqkVC5cmWxTrUZDCUTWrVqhSNHjpTw7jHGGCsqhaszfD5/C/5blkBZMcBYZy/6w28R3GUC0i7dNPUuWpTjlzIyZDapaY81s/3RtJZK/J+yZVLQp7KX45WB7vh4krf4/+MIDR6GqZGWrsMrC0LFQuuMZaZLSUNw55fEQuvWhJLMKNycOdkMY+YQ5FGAd/fuXbFeo0YNbNiwwdjD5+bmVvJ7yBhjrFgcWjdG0OG1cJ30vHHiWPqVf0WgF/XBN1Z3YllUjWvY443hHlgwyVvUuDOIS9Tij6MJ4pY8W1uFNbP8MaKri6iDR5k4bzxIF0tZ1ehjFkSnQ9rf18UiuoCtiDYqFnFrfxe3jLGSJdMb0n8V0OLFi0UmoSlTpmDfvn3o3bu3yCCmVqvx+eefY+rUqbC2ivKMlTR6T9E4f3qvcfp7VpJSL1xDxOsLkH71jnGbTZUgeC9+G6rm9XP9HW6P+QuL1uCnXfEY0c0Fvh45eySoTt6Zq6livWkte66TVwxSbIuiTt6B02LdoUMzq+rVosy/llonT4ptkUkrPin0J8m0adOM6506dcL169dx7tw5VK1aVaSSlYLly5eLhSfTMlNKT0+HSpUxHIyxkmLfsCYC936HmC9/QsyitYBaA/Xth3jc5zW4jO0Pz1kTIXfOqO+WGbfHoqOg7rm6fOxKitTaIgV1jl1amHo3WBFIrS0yaSl2LucKFSpgwIABkgnwyKRJk3D16lWcOXPG1LvCrBRdYLh06RJfaGClQmZrA4/pYxB0cDXsmtQ2bo9fsxUPW49C0t4TWe7P7ZGZC26LzFxwW2TmrkhjAij4OXjwIMLDw6HLNn6chmwyxhgzf7bPVEK5P5cjbtVWRH/0LfTJqdA8Ckfo8LfgNKgzvD6cAoUnz7UuidILF25kDNds+Iw9FFwRnWWi12qRcvS8WFe1bgQZF9dmjJkiyKNSCVQy4ZlnnoGvr2+Wccg8JpkxxiwLnVC6TRgEx64tEPHmZ0g5lDGCIXHTXiQfOgPvj6fBrmdrU++mWXNSydGyvkrc5iZdrcdbX0aI9e2LA6Gy4+9K9oQ+NR0hg98Q65Xu7YHM0XqG/ylcneDQvbW4ZYyZOMj74osvsHr1aowZM6aEd4UxlhlN5masrNhUCID/hkVI+GUnomZ9CV1cInSRsQh7aQ5U3VpB+UInU++i2XJUyUVGzbxQx12VQBvjOiseyX02yuWwrV3VuG5NaP6vY6fnYKkk1xaZdWfX9Pf3F/XwqlWrBqnj7JqMMWukCYtC5NufI2n7k9qnclcneH4wGc7Pd+dRG9mkpuvwKFyDcj5K2Nta10k6Y8WhS06F+k4wbCoHQu5gb+rdYUxS8Ym8KNk1KfMkY6z00LWX2NhYcctYWVP6esJ3zYfw/W4eFN7uYhv17EVM+RghQ9+E+mGoqXfRrMQl6vD7kURxy0oXfzZKizY6TiR8oltLw22RmbtCB3lvvvkmbty4gSpVqogaeZRZM/PCGCs+ytZF5Uk4axczFeqtc+rbHkHHfoDjwM7G7SkHT4sMnHGrt0JvZYWbmenxZyMzF9wWmeSCPCqCTpk1q1evDk9PT9FdmHlhjDEmHQoPV3gtewdxs8dB4e8ltumTUsRwzsf9piD99kNT76LZS0vXYdriMLHQOmOZ6VLS8KjvZLHQOmOMmSTxytq1a7F582b07NmzRHaAMcaY+UtvWhMBI/oj9sMVSPjhD7Et9cRFBLcbA4+ZL8J14mBR1JnlpNMDF/9NM64zloVOh9TjfxvXGWOsJBT6G9nDw0MM1WSMle5QOZVKxQkumFm1R4WrM3w+fwtO/TsiYton0NwPEenfo97/Com/H4T3FzNhV7MyrI1SIYOHi1zc5sZWKcPsF72M66zopPjZKLOzEfNfDevWRKZUQOHrKW4tjRTbIrPy7Jpr1qzBrl27xK2DgwOkjLNrMsZY7nRJKYievxJxKzdRBoKMjTZKuL8xCu5TXoDM1rpOVhljjDFzik8KHeQ1bNgQt2/fFtmEKlasCBubrF/k58+fh1RwkMdMRafTITIyEl5eXpBbWd0kZlntMfX0ZYS//gnU/943brOtVRneX/wP9g1qmGBvmZTxZyMzF9wWmbnHJ4UertmvX7/i7htjrABfHnfu3BHDo/nLg5lze7RvVheBB1Yh5rPvEbtsPaWcQ/rVO3jUdSLcJj0P9xnjIFfZQcrCozXYsC8eQzq5wMcj59eqVqfHtbvpYr1mJVsouCJ6kUnxs1Gv1SL17D9i3b5JbcisqMC25lEYYpf/Ij4rlOV8YUmk2BaZtBQ6yJszZ07p7AljjDGLJLe3g+d7E+HUux3Cpy5A+j+3RAKJ2C9/RtKOo/BeMhOq5+pBqmg4TLom4zY36Wo9piwKE+vbFwdCZcdBHnuC5rU+7jVJrFe6twcyRxWsBY0l06elG0d8M8ZKDl96YIwxViLs6j+DwL0rRbZN/DcnT337IR73eQ2R/1si5vFZI8rLUM5bKRbO0cBykMlgUylQLNxAGGNl2pNHXdE3b94U447d3d3zzSQUHR0NS7d8+XKxcIFLZir0HqPx1py1i1lae5RR8pXpo+HYsw3Cp36MtPPXxOX6uO82I2nvcfhQr16rRrAm9rZy/DA3wNS7IQlS/GyUO9ij/On1pt4NVkhSbItMWgqUeIVq4z3//POws7PD999/n2+DHj16NKSCE68wxljx5hrFrdgosnDSkDQDlzF94TnnVcidpJGhOSxag592xWNENxf45jInjzGWO3VwGGIXr4PbtFGwCbSsOXmMSS67pjXhII+ZckL348ePERAQwBO6mcW3x/TbDxHx+idIPXnRuE0Z6Avvz9+CQ/tmsHRqjR7R8Vp4uChgw3XwShV/NkqLPl0NTXg0lD4eFld2hdsiM/f4pNCtUqFQIDw8PMf2qKgo8TPGWMl8eQQHB4tbxiy9PdpWCULA70vhNX8qZA72YpsmOAwhQ6Yj/PUF0MYnwpJRYEc9eHkFeJR45X/Lw8VC66zopPjZqEtNQ8iwGWKhdWtCgR314FlagCfVtsikpdBBXl4df2lpabC1tS2JfWKMMSYxMrkcri8NQtDhtbDPNCcv4afteNhqFJL2noClik/SYv+ZJHGbGyqhcOqfVLHQOmNZaHVI3ndSLLRuTbQx8UjYsk/cMsZKVoEnDyxdulTc0ny87777Dk5OTsafUYKSI0eOoEYNLnzLGGMsbzYVAxCweTHi121D1PtfQZ+UAm1IBEKHvwWnId3g9dEUKNycYUlS0vS4+G8a6lSxg4tjzp9TD99bIz2M64xlRr1Y3kv/Z1y3JpRxN/WvC6LepsKdp8UwZpIgb/HixcaevG+++SbL0EzqwatYsaLYzhgrPhrf7+3tzeP8mSTbo+jVG9MPDh2fQ8QbC5Fy6IzYnrhhF1IOnYb3Z2/CsXtrSIVSIUO35k8ujLKik+JnI2WkdRnWw9S7wQpJim2RWWmQd/fuXXHbvn17bNmyRZRSYIyVDvrSqFKliql3g7FSbY82QX7w37BIDNmMmr0MuoQkaMOjETrqHTgN6CTm8Ck83Ur87zLLxZ+NzFxwW2TmrtCXHw4ePGgM8KhXj5NzMlbyaCL37du3eUI3k3x7pCkALi/0QtCxdXDo9Jxxe+KWfXjYehQStx2EpaN5eLcepouF5+QVjxQ/G6nUSNrlf8VC68wySLEtMmkpUh/zqlWrUKdOHdjb24uF1mmeHmOsZNCXRkREBH95MKtpj8oAH/j9vBA+y96F3DVjaKM2IgZh42cjdNwsaCJiYK4c7OVoVMNe3OaGMmpO+DhULJxds3ik+NlINSSDO4wTS+Z6ktaAamWq2jSxyJqZUmyLzMqDvNmzZ2Pq1Kno3bs3Nm7cKBZanzZtmvgZY4wxVtRePeeh3RB07Ac4dG9l3J70xyE8bDVSZOEzx9Ejzg5ytGvkIG5zI5MBnq4KsdA6Y1nIZFD4eYnF2hoIJVly6tve4pItMSapOXkGX3/9NVauXIlhw4YZt/Xp0wf16tXD5MmTMW/evJLeR8YYY1ZE6ecFv7XzkfjbfkTOXAJddJxYwifOFdu8P30TSl9PmAvqnYuM08LLVQFbm5wn6fa2cmz8uJxJ9o2ZP7mDPSpe3gprpE9LhyYkEkp/L8jsuAwXYybtyVOr1WjSpEmO7Y0bN4ZGoymp/WIM1j6hOzAwkLN2Mattj6JXr38n0avn2Ke9cXvyzmMZvXqb9phNr15Mgha/7IkXt6x08WejtNAw7NgvfzLr4dh54bbIzF2hW+bIkSNFb152K1aswIgRI0pqvxizavzlwcyJKduj0tsdfqvmwXfVPCi8M5J+6WITEP7KBwgd/Q40YVFlvk/MdPizkZkLbotM0olXXnzxRbHUrVtXDOGkhv7GG28YF8ZY0Wi1Wly7dk3cMmZq5tAenfq0R9DRdXDq39Gse/XyGs75/soIsXDiFctviyVNl5omkgvRQuvMMkixLTIrn5N35coVNGrUSKxT6lji5eUlFvpZ5qE2jLGioRPWuLg4sz5xZdbDXNoj1czzXfG+GL4Z+dYikX3T0KtHyVm8Fk43q7l6BlQ24ciFFLH+9ig6hvz9aOltsURpdaL9Cl++Y+q9YdbcFpl1B3lUJ48xxhgzFadebaFqXh+RMxcj8bcDYlvSjqNIOXERXh+/Lgqpl+WFRrkMUNnJxG1ubJQyTBnqblxnLDOZrQ28FkwzrlsTmVwGmaNK3DLGTBzkZRYcHCxuaUwyY4wxVqa9eivnil69iLcWQRcZC11MPMJfnoekbQfLtFfP212JVwZmBHG5USpk6NeWU8Sz3MlslHAdPwDWiOpjes17zdS7wZgkFXpOHhV9pDIJrq6uqFChgljc3NzwwQcfcEFIxkoIzW+tXLkyT+hmZsGc26NT73Yof+wHOPXrYNxGvXoPW48y27p6TJptkVkXbovM3BW6Zb777rtYtmwZFixYgAsXLohl/vz5+PLLLzFr1ixIwfLly1GrVi00bdrU1LvCrBR9afj4+PCXBzML5t4eDb16vqs/gNzLTWwTvXoT5yJszLulnoEzMlaDVdtixW1udDo9gsPVYqF1Jt22WBR6nQ7ptx+KhdatiSY0ElHzV4pbSyPFtsikpdAtc+3atfjuu+/wyiuviALotLz66qsiu+b3338PKZg0aRKuXr2KM2fOmHpXmJWibF0XL17krF3MLFhKezRVr55WB8Ql6sRtbtLUeox6P0QstM6k3xYLQ5+ShofPDRcLrVsTvUYLXVSsuLU0UmyLzMqDvOjoaNSoUSPHdtpGP2OMFR+djKakpPBQM2YWLKk9PrVXL9w031OOKplYmPW0xcKQuziJhVkOqbZFZsVBXv369cVwzexoG/2MMcYYM4tevaPr4Ng3W68e1dUr47l6Kjs5/lgUJBZaZywzuaMKlW7vFAutM8aYSbJrLly4ED179sS+ffvQvHlzse3EiRN4+PAhduzYUSI7xRhjjBWXwssdft/NRWKfdoh4+/MnGTgnzn2SgdPHw9S7yRhjjJU4mb4IlzMfP34skpNcv35d/L9mzZpiXl5AQACkJD4+XmQRpWKXLi4upt4dZoVFVqn9lWW9L8ak2h61kTGImLkESb9n1NUjcg9XeC+YBqf+HYv12OlqPR5FqFHO2wa2NpZ5fCyFFNoie0KXmgbNvcdQVgyA3N4OloTbIjP3+KRIQZ614CCPMcakJXHbQWOvngHV2vP+ZJro+SsNFAQuXp8xF3DaMA8OBFkW+rR0REz/VKx7L5oBmZ2tqXeJMZaJXq0R9SwtLT4p0uSAmJgYfPbZZxg/frxYFi1axElXGCtBGo1GZHelW8ZMTUrt0alP+4y5en3aG7fR0M0HrUchcfuRIj1mYooOxy8li9vcaHV67D6ZJBZaZ0UnpbZoQJklE37dJRZLzDJZHNr4RCTt/kvcWhoptkWWU+JvB/Dg2WFQ33sMS1PoIO/IkSOoWLEili5dKoI9Wmi9UqVK4meMsZLBaZmZOZFSexRz9VbNE1k4acgmoZ49yr4Z9so8aGPiC/V4SSk6nLySKm5zo1TIMKG/m1honRWPlNoioR4CjzmviMWcegvKgi4+Ccl7jotbSyS1tsieoO+BMMrK/NIcaB6GInzyfOgt7PVWFqWG3NChQ/H1119DoVAYGznNyaOfXb58uTT2kzHGGCtRVE/PvkUDRLz5KZJ3HhPbEjftRcqRc/Be/BYcu7Qskb9jo5Th+c485J/lTmZrA/fXhpt6Nxhj/0k+eBrhUz6GNjTSsAkKX09Rx1Lm5ADJ9uTdunUL06dPNwZ4hNbfeOMN8TPGGGPMUlB2Tb+18+Hz1XuQu2bUKdOGRyN0xExx5VYbl2DqXWSMMVYGdEkpiHh7MUKGTDcGePS94LNijsjULLegAK9IQV6jRo1w7dq1HNtpG9fJY6xk0IWTevXqZbmYwpipSL09UmY858FdEXTsBzh0es64PeGXnXjYZgySD5wq1uPrdHpExGrEQuus6KTYFvU6HTQhEWKhdWYZpNgWrVnq2X8Q3GEc4ldvMW5TtWuKoKPr4Ny/EyxRgYZrXrp0ybg+ZcoUTJ06VfTaPfdcxpfhyZMnRUmFBQsWlN6eMmZlbG05wxozH9bQHpV+XvD7eSESft6ByPeWQp+YDO3jcIQMfRMuo/rAc+6kXK/k2tvKULOirbjNTZpaj6HvZEza3744ECo7npdXHFJrizQE7H69AWK90r09kFlRQXS5yg52jWqJW0sktbZojfTpasQsWouYJT/QFTmxTaayg+f7k+Aytp9Fl8coUAkFuVwunuTT7kr3kdIkVC6hwEyFsnWdPXsWTZo0gVJpXRPxmfmxxvaoDg5DxOsLkHL4rHGbMsgP3l/MhEPrxoV6rJQ0HfpMDxbr2xZRkFekxNZMom2RhojdrdpdrFe6tRNyKwryLJkU26K1Sb9xF2Gvfoj0SzeN2+wa14LP8ndhW6U8LD0+KVCrvHv3bknuG2OMMWbWbAJ94b/xc8Sv24ao2cuhT04RGdZCBrwOl3ED4Dn7ZePJuEarR0KyDs4O8lyzZ1JQt3eZ+Z4wMNOidlQl5BCstf6YNjYBCjdnq8ssykxHr9MhbsVGRH+4QtSpFJQKeMwYB7cpwyGTSNBeoGdRoUKF0t8TxhhjzIzQ6BTX0X3h0K6pyLSWevxvsZ3mbNA8PZ8v34HquXqIitPip13xGNHNBb4e0jg5YKwsaMKiELt4HdymjRIXVhgrbWoqh/DaR8bPc2LzTEX4Ln8PdvWfgZQU+tto3bp1+f581KhRxdkfxhhjzKzYVAhAwNYvEPfdFkR/+I2YQ6W59wiP+7wG14mDoXtlvKl3kTHGWD70er1IphX5zhdivrVAF/JeHgKPd16C3N4y54UWe05eZu7u7ln+r1arkZycLCafOjg4IDo6GlLBc/KYqdDbkua3UtYuS570y6SB2+MT6bcfImLyfKSeuWLcFl+jDvYNmo5RIyvm2pOXrtbj680xYv2Vge6wtbHuY1gcUmyLNFwsctYyse71wWuQ2VlPMg+a+2qpPXlSbItSpYmIQcT0hcZ6qEQZ6AufZe9C1bIhpBqfFHr2d0xMTJYlMTERN27cQKtWrbB+/fri7jdj7D/p6f+NE2fMDHB7zGBbJQgBfyyD5/uvGk/G1fdDkLTzGGKW/vRkfkcmWp0evx9JFAuts+KRWlvUa7SIX7NVLLTOLIfU2qIUJe08iodtRmUJ8Jyf746gI2stMsArjBJJ8VWtWjVRPoFKKzDGio+uDlLpEillq2WWi9tjVjKFAm6ThiHwwCrYNayZsVGvR/zqrQjuOgFpV25luT8lYxnVw0UsuSVmYdbdFinhiPuMsWLh5COWQ4ptUUp0CUliLnXoqHegi4wV2+RebvBb+5GYTy13doTUldinCaWPffw4ow4QY4wxJnW21Sui3I6v4Pjlzxj56RpArUH6P1EI7vISPN4ca8zSZqOUYUwvN1PvLjNTMlsbeLw1DtaIhmh6L5ph6t1gEpNy8hLCX/1AZEQ2cOjeCt6L3oLSO+u0MykrdJC3bdu2HGOSQ0JCsGzZMrRs2bIk940xxhgzaxTEuU8bBYfOLRD+2odI/+e2CPaiP16JpN3HxJwP22qcoZoxxspC/I9/IuKtReJzmMicHOA1f6oYomltcycLHeT169cvy//pgHl7e6NDhw5YtGhRSe4bY1aNJnMzZi64PeYtOl6L3Y990GXT13D4Zh1iv/wZ0OmQdv4agjuMg/u7L0P5Qn/I5HI4qmRWd6JR0qTWFuliuS4+UazLXZysqn1owqNFxkM6AVf6eMDSSK0tWjK9Vouoed8g7qtfjNvsm9cXF9psyvvDGhU6yNPpdJC65cuXi4XHWTNToeHPTZs2NfVuMCZwe8yfWqNHSKQGGrkDfN+bCMdurUQdJvXth9CnpiPk/W/x2qVnxX23Lw6Eys56TuJLmhTboj45Ffeq9hDrle7tgcxRBWuhT1dDc/+xuLU0UmyLljz/LmziXCTvPWHc5jphMDznviqZwuYmSbxCgdDff/8tMm1KxaRJk3D16lWcOXPG1LvCrBRd2Y2NjRW3jJkat8fCsW9SG4EHVsP1pUE5fpawficfx2LgtsjMBbdF86B+EIJHPV99EuApFPD67E14fTTFqgO8IgV5r7/+OlatWmUM8Nq0aYNGjRohKCgIhw4dKo19ZMzq0Hvr+vXr3JvMzAK3x8KTO9iLeSBURN3B3w1fbxollvgZCxA6/C1oQiNNvYsWSYptUeZgj8qPD4qF1pllkGJbtDQppy6JjMbp1+6I/8tdneC/4TO4ju5r6l2zzCBv06ZNqF+/vlj/448/cO/ePdHIp02bhnfffbc09pExxhizSKpWjVD+yFq4D+8GpV4LGqiZvO8kHrYehYSt+7gXgIk5eFQ6QSxWNB+PseJI2LALjwe8biyPYFM5EOV2fwuHNk1MvWuWG+RFRkbCz89PrO/YsQODBw9G9erVMW7cOFy+fLk09pExxhgzWy6OcnRv7ihuc0P1mHyWzITfTwug+C+5hC42AeET5iLsxTnQRmWcpDBmbRTuLnAe3kPcMlYQep0OUR9+i/BJHwH/zeVUtWmMcrtXwLZKeVPvnmUHeb6+vmK+GnVP79q1C507dxbbk5OTOcsQYyWEruaqVCq+qsvMArfH/Kns5KhZyU7c5pWY5ZstMfghsRb8Dq6FU/+Oxp8lbTuIh61HI2n3X2W4x5ZLim2Rko5Evr9cLJaYgKQ45I4q2DeuLW4tjRTbornTJaUgbNwsxH7xo3Gby5i+8P/lMyjcnE26b5II8saOHYshQ4agTp06omF36tRJbD916hRq1KhRGvvImNWhCyY0LJovnDBzwO0xf8mpOvx9M1Xc5kaj1WPDvgSx6F1d4LviffiunAv5f70X2ohohL4wE+GT50P7Xyp9Zj1tUa/WIG75L2KhdWuiS0xGyl8XxK2lkWJbNGeaR2F41GsSkrYfydggl4t5z14Lp4uhziynQh+V999/XwR4Dx8+FEM17ezsxHZq5DNnzizswzHG8ihVQkOjvby8IJcXOwkuY8XC7TF/Cck6HDibDH8vJRzscx4fpUKGIZ2cjevEqV8HUcMp4o2FSN5zPONxftmJlKPn4L30fzyvxIraIp2guk563rhuTbSxCUjcsg/KCgGQOznAkkixLZqr1PNXETryf9CGRxuHwNOFMoeOGaVpWO6K9GkyaFDOtNCjR48uykMxxvL48rhz5w48PDz4y4OZHLfH4rFRyvDyAPcc25W+nvD7cQES1u9A5LtLoU9MhuZROEIGThPlFzzemyiydDJpt0WZrQ283p9k6t1ghSTFtmiOKEFVxJSPRc1RoqwYAP8fF8D2mUqm3jWzx62SMcYYMxGa9uAyvCeCjqyFqnUj4/a4lZsQ3HE8Ui9cM+n+McaYKVDm4ehPVokEVYYAj0Y/BO76lgO8AuIgjzHGGCvlkxWal0dLXiUTbIL84L9pMTw/mgqZva3Ypr71AI+6vyJOdKxtrpY1oTZBr69YuKQGY9ClpCHspfcR89n3xm3Ow3siYNNiKDzdTLpvloSDPMbM9Oq+q6srZ+1iZoHbY/5sbWSo4KcUt7lJTdejy+SHYqH1vMjkcrhNGITAA6th1+C/RGZarTjRedT9ZaTfvAdrJ8W2qE9OxZ2A9mKhdWsis7OFTfWK4tbSSLEtmgNNaCQe952MpN8PZGyQyeA5dxK8l7wthjazUgjy1q1bh7S0tEI8NGOsqCiRUc2aNTlrFzML3B7z5+6swMAOLuK2JNhWq4ByO76G+9vj6OCLbWkXbyC4w3jEfrNB1ImyVtwWpUXp7Q63iYPFraXhtljyxOdclwlI+2+YusxRBb8fP4bbq89zMF0EMn0BxwZQIw4JCYGPjw+sRXx8vLhKExcXBxcXLtTJynZC9+PHjxEQEMATupnJcXvMn05HQzEpcyZl9c55IkJfs0kpGV+1jipZoU5WUv++jvBXP4T63/vGbfYtG8Lny3fEEE9rI8W2SO1D91/pDLmLk1WdzNIFC6oNSD001JNtSaTYFk0padcxhE2ca+zNVgb5icRUdrWqmHrXLDY+KXCr5HHijJXtl0dwcLC4ZczUuD3mLyJWi2UbY8Rtbuik3clBLpbCnsDbN6iBwP2r4DpxsHFb6l8X8LDNaMSv32F1381SbIvUJhSuzmKxpgCPaB5HIOrdpeLW0kixLZpKwoZdCB3znjHAs2taB+V2r+AAr5gKdenB2j58GGOMMVOTq+zg9eEUBGz9AspAX7GNyi1QWvGwMe9CExFj6l1kjLEioUzC4ZM+EvOPidOATgjYssQih/BadJ28jh07QqnM/1fOnz9f3H1ijDHGJEOt0eOnXXFifUQ3V1E3ryhUrRoh8PD3oueDCqeTpB1HkXL6Mnw+fwuO3VuX6H6zskHDFWOW/CDW3V8fycklmFWgUQgxn69FzIJVxm0u4wbA6+OpFjd0VxJBXteuXeHk5FR6e8MYE2h8v7e3N4/zZ2aB22PxUOmEdTvixfrQzi5FDvKIwsVJzMdz7N4K4dM/hS4yViyho96B8/Pd4fnRFHEfqZJiW6TSCTGfrhHrbpOGcZBnIaTYFssywIuavQxx32wwbnN/YzTcZ47nUYOmCvJmzJhhVYlXGDMV+tKoUoXHojPzwO2xeBRyGfq2cTKulwTHHm0Q1LQuIqYvRPLOY2Ib9e6lHDsvgkDq9ZMiKbZFmVIBl7H9jevMMkixLZYFvUaDiDc+RcL6HcZtnvMmwe2V5026X1LE2TXzwdk1manQRO67d++iUqVKfJWQmRy3x/xpdXqkpethZysrsSCuoOgrnIK7yHe+EPP0DFxfHgKPdyaI+XxSwm1RWvRaLfQpaZCp7CCzsFIE3BYLT5+WjrCJ85C0/XDGBuoNXTQDLi/0MvWuWRTOrsmYBaMvj4iICM7axcwCt8f8UWDnYC8v8wCP0NAml2E9EHRkrSitYEDDoII7jRd1p6SE26K0UGAnd3KwuACPcFssHF1SCkJemPkkwPt/e/cBHUXVxQH8n2x6743QkSZVKVKkSlMpCoJIVRCQIoIgSJemIkhRmqCAiAIiINKkIyA2EEXqR4cUkpDes7vznXvDLgkkIX3b/Z0zZ2dnN7uzk7flzn3vPlsb+K+aIQFeCcp3kEdnK3x8fPTXo6KieBFCCCEsWWyCBtuPJvClodCceVSRznvWKFjZ2/G2jMs3cafjUMQsWMddpIQwNpqoGMR9uZUvhfnSxCYg7JWxSDnyJ1+nzG3gNx/BpUtrQ++aWct3kFe+fHlOD44YMYKDPX9/f15ofeTIkYiNjS3ZPRVCCCGMUFqGgmshGXyZk5Q0LdqNvMULrZcUqkjnMawngg+uhl2dqpkb1RpEf7QaIZ1HIv3q7RJ7blG0DMfVwFa80Lol0aamI/38Vb4U5kkdEY3QbqOQ+ud/fN3azQWB338KpzaNDb1rZi/fhVeio6PRpEkThISEoE+fPqhRowZvP3/+PNauXYuDBw/i119/haenzGshRFFR//7g4GDp5y+MgrTHotOUYo8uu2oVEbxnBWfwuDS/Vou0v87hTps34D1zJNz6dzHZCnZm2xbVhssCi8Ix27ZYjDJuhyOs+xhkXL/D11W+ngjctAD2tZ8w9K5ZhHwXXnnnnXc4kDtw4ABn8LIKDw9H+/bteR69hQsXwlxI4RUhhBCPczdajQ1749Gnoxv8vR49d6rVKrgXn/kj3ttNBetSHLuX+tc5RAyfrf+RRZyeewa+CyfAJuDBEAxhOIpWC83de7yu8ve2qDnCMu7cRezCr+Expj9sg7P/thSmLf3yDYT2GAtNWCRftwn2R+CWT2FXuZyhd83kFXvhle3bt2P+/PmPBHgkICAA8+bNw7Zt2wq/x0IIPY1GgwsXLvClEIYm7bFoKKjz9bDhpTQDPOLQ4EkEH/4KbgO76rclH/gNt1sOROJPR2BqzLEtUlBnE+jLiyUFeKbOHNticaGCTyFdRuoDPNsq5VBm51IJ8EpZvj9NaPqEJ598Mtfba9WqxRk9IUTRUYKdztBIVVthDKQ95s3F0Rotn3LiS2Nk7ewI30/GIeDbeVD5efE2bXQc7r4xFXdHzIEmPhGmQtqieVG5u8C5S2u+NDXSFnOW8usZhHR7G9p7cXydxgeX+elz2JSRTG1py/c3EhVYuXHjRp7VN728Mr88TN3SpUtRs2ZNNGzY0NC7IoQQwsg5O1rj6eoOfJmTDLWCjfvjeaF1Q3Fu14SnWnB+saV+W+LmvbjTciBSTvxtsP2ydEp6BmI+/5YXWrck1q7OcGrZgC+F6Uva9yvCer2rn7PT4Zm6CNq2GCofqddh1EFehw4dMHnyZKSnP1oBKS0tDVOnTkXHjh1hDqiCKBWU+fPPzFKvQgghRG5S07W4fCudL3Oi1ij4YlssL7RuSCpvD/h/NQt+Syfrf1ir79xF6EujETXtc2hT0wy6f5ZIyVAj+oPlvNC6JdEmp3LXProUpi1h2wGED5gE5X6lVKe2zyBw03yo3EwvS2tx1TVnzpyJBg0a4IknnuAgqHr16pyipv7Iy5Yt40Bv/fr1Jbu3QlgIqtZVqVIlqdoljIK0x7zFJWqx83giF15x8Hr0GNEk6R2eyQyoDDFh+sOosqZrz45waFIPEaPmIpWyeNT1bPkmJB/+A/7Lphpt9TtzbItWNiq49uqoX7ckmug4xH+9gwuvWDs5wJSYY1ssrLh1PyJq/AL+HCEu3drAb+kUWNnZGnrXLFq+q2vqumQOHz4c+/bt0/dBpi+Ldu3a4fPPP0eVKlVgTqS6phBCiKJW1zT2yo5xKzfj3uwvAF1XQVsbeE0YBI+RvWGlsqygQ5Quqa5p+mIWf4Po2Sv112mKFp95Y+Wzw5Sqa5KKFStiz549iIqKwm+//cZLZGQk9u7da3YBnhCGRNW6/vnnH6naJYyCtEfzxROov/Uqgg+sht2T97/Hqfvg7JUI7TIKGTdCYUykLQpjYeltkZI99+auyhbgeYzqA5/54yTAMxKFyjHThOeNGjXixVyKrQhhbB+eKSkpUrVLGAVpj+bPvkYlBP+8Eh5v96EuOrwt9Y+zuN1qIOK/2Wk0/3tpi8JYWHJbpNccPWsFZ2F1vKYMhfe0YdzDTxgH0+pXYqToLE5GhmVVxBIlS63OHHyfmpoKGxt5mxqKra0tVHJGUjyGjcoKvp4qvsxJSpoWPSeF8PrmuWXgaG+cY3is7O3gPXUYnNo1RcTI2VDfDIOSlILIMR8jae/xzAnUfaVKXnHTJqXgZp2Xeb38v1t5ygtLQWMQbYL8LG4sosln8KZ9jrgVm/XbfD4aA/dBmW1YGA/59VjEhk5zA8bGxhp6V4QZti0HBwfcunVLzooZmIeHBwICAuT/IHLl7a5Cv07ued4nKcV0zvY7PlMHZY+sRdSUJUjYsIu3Jf98Ardb9Iffwglw7tjc0LtodrQmNFdhcbIJ8IHnuwMMvRuiIAHepMWIW/2DfpvvgvE8Dk+YeOEVS/O4gY00QTwFeH5+fnBycpIfgaLY0NuSMsSURZJ2Zbj/QXJyMiIiIjjQCwwMhKXSTfpLn4fSHgtOq1UQGpWZnQ/ysYG1EVTYzC/K4EWM+RjaqAcnM137vgifWaNg7eJU6vtjjm2Rit9kXM/M9NpWLMPjJIXxM8e2+Lh2GjXhU8Sv/TFzg5UVZ/fd+rxg6F2zOPH5LLwiQV4hDyL9AL98+TIHeN7e3gbbRyFEybp37x4HelWrVpWumyJHEdFqfLcvHr3bu8HPxKpr5oc6MgaRY+chee9x/TabCkHwXzoFDo1qG3TfhGlTh9xFzOIN8BzdBzZlpLqmMQd49Bmgy+zD2hp+S97XT/0hzKC6pnhANwaPMnhCFDc695KUlGSRA7qNje49bsnjbmmM6J9//qkfKyqyo3epRpt5aY5oHF7A13P5rL2VU+Z4MfWNUIR0Hol7c76Aopt6oRRIWzQv/BWn0eimVzMpltIWFY0GEaM+zB7gLZsiAZ4JkCCviCwhRS8MQwI84yDv8UyWWia8OKg1CrYfTeCF1k31feDW90WUPbIGDg1rZW7UahG7aD3udBqG9Ms3Sm1fzK0tKhlqxH25lRdaF6bD3NriwxS1GhEj5iBx897MDSoV/L+YAdfu7Qy9ayIfJMgTRm/gwIHo1q1bkR7jyJEj/COlKEVyCvMYj9v3GTNmoF69eoXeJyGE8ctQK1iyKYYXWjdlNGYs6KfP4TV5CJUV5W3p/17GnbaDEPvFFu7WJQqGMqFRExfyUppZUSHyQicc7g6bhcQf9mdusFHBf/UHcOna2tC7JvJJgjwLdvLkSR5j9MILMmiW0KSmXbp04XGWVNmyQoUK6NWrF4/HIk2bNuViO9QPWggh8ktlbYUW9R15oXVTRxMde77TD8F7V8K2annepqSm497kxQjr+S7UoZmfmSKfVNZw7tyKF1oXwtDoZMPdN2cg6cdDmRtsbRCwZjZcXmxp6F0TBSCfJhbsyy+/xKhRo/DLL78gNDQUliwyMhJt27aFl5cXfv75Z1y4cAFr1qxBUFAQj40jdnZ2pVpK39HRsdDdPM19jIAoXXQyqE6dOlJ4Jo8pFPo/78aXObGztcKMN315oXVzYV+3GoIPfAn3Ia/ot6Uc/Qu3WwxA4raDJfKc5tgWrR3sEfDVLF5o3ZLY+HvDc/zrfGlqzLEtEiUtHeGDpiFp11H9/JkB6+bK1CkmSII8C5WYmIhNmzbhrbfe4kze2rVrc+yaePDgQTRo0ICLT1Am69KlS490NVy/fj1nvSjD9eqrryIhIUF/H61Wiw8//BAVK1bkoKVu3brYsmVLtv7sgwYN0t9erVo1LF68OM99f9xjkt27d3M1RLq9devWuHEj7/EiJ06c4CpFq1evRv369fmx6e8WLlzI6zl116RjRqX1KSisUaMGXFxc0LFjR8725YYGafv6+uLjjz/Otj2nY2h9v4x2Wloa3n77bX2GsXnz5vw4D/+v9uzZg6effhr29vY4fvw4WrVqxX/33nvvcfBKASr9z4QoDDrJIXJGk6D7eNjkOhm6ObN2tIfPnLcRuGUhVIG+vE0bl4i7Q2bg7rCZ0MQ++D4oLtIWzYeVrQ3PlUeXpsjc2qI2NQ3hAyfrK+laOdghYP2HcG7XxNC7JgpBgjwLtXnzZlSvXp2Dqr59++Krr77KsdDH5MmTsWDBAvz111+wsbHBG2+8ke32q1evYvv27di5cycvR48exUcffaS/nYKxr7/+GitWrMC5c+cwZswYfj66ny5gCw4Oxvfff4/z589j2rRpmDRpEu9fbh73mLdv38bLL7+Mzp0748yZMxg8eDAmTpyY5/GgAIiyX9u2bStQwROaR23+/PkcpFFGlCYvHzduXI73PXToENq1a4c5c+ZgwoQJjz2GugwiBWk//PAD1q1bh9OnT6NKlSro0KEDoqOjsz0+vUb6O8pC0tlFQn/j7OyM33//HfPmzcPMmTOxf//9/vVC5BOdjKHPAHMvMlBYcYka7PstkS8tlVPLBij7yzq4vNRWv43G8txuORDJv/xVbM8jbdG8aKLjkLBpL1+aGnNri9qUNIT3ex/JB37j61aO9gjY8DGcWjcy9K6JwqJ58kTO4uLi6Nc+Xz4sJSVFOX/+PF+aoqZNmyqLFi3i9YyMDMXHx0c5fPiw/nZap9d+4MAB/bZdu3bxNt1rnj59uuLk5KTEx8fr7zN+/HilcePGvJ6amsq3//rrr9mee9CgQUrv3r1z3bcRI0Yo3bt3118fMGCA0rVr13w/5vvvv6/UrFkz2+0TJkzgfY+Jicn1eSdNmqTY2NgoXl5eSseOHZV58+Yp4eHhjxwT3WOsWbOGr1+5ckV/n6VLlyr+/v6P7PvWrVsVFxcXZePGjdmeM69jmJCQwIutra2yYcMG/e3p6elKUFAQ71/W/dq+fXu2x27ZsqXSvHnzbNsaNmzIx0Lkn6m/14sDfUacPHmSL8Wjwu9lKAs23OPLnKSkaZQeE+/wQuvmLv6H/cq1yh2VKz7N9UvklCWKJiW1yI9tjm1Rk5SiXK/VjRdatyTpt8OViLHz+NLUmFNb1CQmKyEvva1/v14t105JPn7a0LslChGfZGWa+XEjNuyjcETHl/5ZHS83FVZMDMjXfanL5R9//MFZK0IZOiowQmP0qItfVrqMEAkMDORLKkRSrlw5Xqcuhq6urtnuoytUcuXKFc50UfYqq/T0dO4SqbN06VLOJFIWLCUlhW/PreJkfh6TMlmNGzfOdnuTJo/vakAZtrFjx3LGjTJflCmcO3cuZ+hq1855wl/qxlq5cuUcX78OPRZl6KhLaU6VNvM6hpTlo/nZmjVrpr/d1tYWjRo14teZFXWrfVjW/19u+yeEKFnUOeBeXOb3giXMjOL68nNwbFwbEaPmIuXYad4Wt2Izkg//Af9lU2Ffp6qhd9G4KAo04VH6dSFKkzYxGWGvvYfUk//wdStnRwRunA/HZ7L/fhCmR4K8YkYBXlSscafuKZijrolUVESHuijSWK7PP/88W/VICih0dAVHqItlTrfr7qO7ncb9kV27dqFMmTLZ7kfPRTZu3MjdG6lLKAViFOx88sknHBjlJD+PWRTe3t545ZVXeKEAjwJH6o5J3R5zktPrf7i7JwWB9LgUyNL4x4f/Jq9jWBDULTM/+1eYxxZCFB4VW/ni/cyTcOZUeCUvNmX8eZxe3BdbED17JRdzyLh0A3c6DoXXhEHwGNmbq3SKzHFPwYe+0q8LUVq0CUkIe3U8Uv84y9etXZ0RuHkBHBo8aehdE8VAgrwSyKgZ8/NScEfj2Sioat++fbbbKMv03XffYdiwYcWyTzVr1uTAizJ0LVu2zLXgCRV0GT58uH4bZa+K8phUBGXHjh3Ztv32W2Yf84IOqKYATTc2rrB8fHywdetWzpL27NmTxxs+HHzlFrTR89N+0HEqXz6zVDll9qjwyjvvvFOk/RIiv6h6HGWKza2KXGmhaROqlLW8H+9W1tbwGNYTTq0a4u5bs5D+3/9o0kAO+pL3/Qq/pVNgW+HByUZLbYsU7NrXfsLQuyEKyNTboiY+EWG9xiHtr3N83drdBYHffwqH+jUMvWuimEiQV8zy22XSUKjbYExMDFe0fHi+t+7du3OWr7iCPMrKUZaOCqNQ9oiqQlIFSwpY3NzcMGDAADzxxBMcdFKFSqpiSQVMKIDRVbQszGPS/lMQO378eC66curUqUeqh+Z0XCirSJUtqSonZeN++uknrtJJUykUFVXGpG6gVLGzd+/e/FzUTTYv9Poo0KMKqPRaqEImdZOlAirUZZX+h0KUFuoSXdhpPcyds4M1GtZ04EvxKLvqFRH880pEz/sKsZ99Sx9unDmgoiw+s0fCtW/nAk1NI23RfFi7OsGxTWO+NEWm2hap6m3YK2ORduYiX7f2dEPQ95/ytCjCfMg3koWhIO65557LcUJvCvKoUtS///5bbM83a9YsTJ06lStiUoaNphigrpa6IG7o0KFcCZPGBNI4unv37mXL6hXmMSkQomqUVLGSplfQja3LC2UIaXzdu+++y+MBn3nmGc640ZQK/fr1K5ZjQRU8KdA7e/Ys+vTp89iKXDQ+kVDFTPrf0H489dRTPC6RgmJPT89i2S8hHofaKn0umEsVueLm4mSNZ+s58WVO1BoFe08m8kLrlsjKzhbeU4YiaMdnsLmfvVOSUxA59hOE950IdUT2asGW1BaVDDXiv9vNC61bEpW7K1xeaMGXpsZU2yJVMg19efSDAM/bHUFbF0uAZ4asqPqKoXfCWMXHx3MwRJkiyhJllZqaiuvXr3NgQXOXCVGc6G1J3UQpk1dak6+LnMl7PbObN50Aoq5Jj8tAW6L0DAV3o9Xw97LJccxdSpoWL4y5w+u7FgbD0d6yz69SoYeoaZ8jYf1P+m30Q9N3wXv8g9/S2qI2KQXXK2QOn6h4Yx+snU0vM1SUednUIXd5DKepTQRvim2RTqaEvTIG6eev8XWVrycCf1gE+xqVDL1ropjik6ws+5tGCCGEKKKYBA2+P5jAl7mNyWv8pAMvtG7prF2c4PfpewjY8BFUvl68TXsvDncHTkbEyDk8VsiiqKzh9NwzvNC6JdFExSJu2Sa+FCVLHR6F0G5vPwjw/LwQtH2JBHhmzDROPQhhgSSDJ4yJqRYXMAaU3ftwhJ+hd8PoOLdvBodf1iJy3Hwk7fqFt9HE2Ckn/obf55Ph2OzBVDvm3BYpgxX43SeG3g1RCKbSFjPu3EXoS6OhvhHC11VBfgjaugh2lcsaetdECbKsU0ZCmFCAJ101hbGgrkgNGzY0mS5JwnSofDzhv2Y2fD+bBCuXzOIb6vs/SKlLJ3Xny0raojAWptIWM26GIrTrKH2AZ1MuEGV2fCYBngWQIE8IIx2TR/39ZcisMAbUDmNjY6U9ihJBJ7PcXu2Esr+sg4Mue6coiFu+CXfavYm0fy/r7yttURgLU2iL6VdvIaTLKKhvhfF120rBHODZli/Y1CXCNEmQJ4QRF/wQwhhQ9biLFy+aXBW50mJtDbg4WvFlTlLTteg3PZQXWhc5sy0bwF3IvGeOgJV95ryCGRev8wTqMQu/hqJWm2Vb1Can4laj3rzQuiWxUlnz/Gx0aWqMvS2mX7qO0C6joAmN4Ou2Vcsj6MfPuMiNsAym964SQgghjIivhw2GvOTJlzmhE/0hkWpejPikv/FMoP7WqyizfxXsat2fIJwmUJ+7ijMSGdczu5yZFUVBxvU7vFhaA7EJ9IX3tLf4UhSftP+uIKTrKGjuT01i92RlBG3/DDYBPobeNVGKjLsjsRBCCGEGhVeWvJt59jynKRbEo6jiH0+g/skaxC7ZwBOop/35H8KeGwyHgc9DefppmAsrBzsE7VyqXxeiKFLPXOSJzrWxCXyd5r8L3LwAKq9H50cW5k0yeUIYKevc+n4JYYAxU46OjlIIKBeRsWp8sS2GL3NC0ybUqmzPi0yhUMAJ1CcPQZmfPs8ygXoqXJdtRWS/SVwS3hxYqVRwbFyHF1q3JOqwSNybuZwvTY0xfi6m0omQl995EOA1rIXAHxZKgGeh5FekEEaIvjScnJyM6stDWHaZ8Lp165pMufDSptUCiSkKX4ri59CoNsoeXgO3/l3021IO/obbLQciccdhg+6bKBpFo4U2LpEvTY2xfS7S1COhPcZCm5DE1x2a1EUQZfDcXQ29a8JAJMgTRTJjxgzUq1cvz/sMHDgQ3bp1g7HvpzGhal0ZGRm5Vu26ceMGB4Bnzpwp0vO0atUK77zzTqk+Rn72nW7fvn17kfZLFB+tVouIiAi+FAWn0Sg4cjqZF1oXhZtA3XfBePh/8xGsvD14mzY6DncHTcPdoR9AExMPU0UFZRJ/PMwLrQvTYEyfi8lH/0JY7/FQklP4umPLBgjcOJ/fN8JySZBngSjooh/RtNja2sLf3x/t2rXDV199VSIfVosXL8batWthKjp06MBn5v7880+D7kdaWvb5oQyBqoZ99NFHqF69OndL8fLyQuPGjbF69Wr9fbZu3YpZs2YZdD9FyaLPhWvXrhnFjxlTlK5WMHN1FC+0LgrPoW1jRC5+B04vtNBvS9x6ALeb90PSvhMwRUpaBu4OnsYLrQvTYCyfi0n7TyK8zwQoKZm/GZyeewYB33wEaycHg+6XMDwJ8nKwdOlS1KxZkye5NFcdO3ZEWFgYZ1X27NmD1q1bY/To0XjxxRd5frbi5O7uDg+PzDOvxu7WrVv49ddfMXLkSA56Ld0HH3yAhQsXchB3/vx5HD58GEOGDOG5gXQo8HN1Nf7uIOnp6YbeBWGhaBhe3SfseZEheUWnuDvDZ9UM+C2fyuX3CVURDO8zERGj5kITlzkeyWRYW8OhaT1ecp2HQ4gcJO3+BeEDJkFJy/x+c36hBQLWzYW1g72hd00YAfk0ycGIESP4B62hMzklyd7eHgEBAShTpgyeeuopTJo0CT/++CMHfFmzbvRjfvDgwfD19YWbmxvatGmDf/7555HHW7lyJcqWLcvjyHr27Im4uLhcu2vu3bsXzZs358DP29ubA8urV69m+zFOQVZgYCAcHBxQvnx5fPjhhwXaJ8o+UYaSgo9Bgwble865NWvW8P689dZb+O6775CSktn1IWvXxLfffhvvvfceBzd0DKkraFaUIaVM10svvcTH44knnsCOHTuy3ee///5Dp06d4OLiwvvZr18/REVFZTtGlF319PTM8Rjl5HGPmZSUhP79+/PtdGwXLFjw2ONB+z18+HC88sorqFixIo8/oOM5bty4XLtrVqhQAXPnzsUbb7zBx79cuXL44osv8swW0n0pW0hBtg7te17H8OjRo2jUqBG3ZXo9EydOzHaCgvaL2hHtm4+PD2dojxw5wv+fgwcPokGDBvzYTZs2xaVLlx57LITIjaerCq+0deXLnNjbWWPhGH9eaF0UHb2PXXu0R9nj6zlzoZOwcQ9utxiI5EO/w1RYO9qjzI+f8ULrlkTl4wH34b34UhRM4raDCH9jGk8xQly6tYH/qg+4YJEQRL5thB4FS/Qjnrrf6dCPe+pzTsHfqVOnOCBs27YtoqMz514hV65cwebNm/HTTz9xcPL3339zYJAbCjbGjh2Lv/76i39sUxVJ+jGv6/KwZMkS/kFPj0k/vjds2MCBQ373if6OAi8KNOg5KABYtmzZY18/jX+jIK9v374ccFSpUgVbtmx55H7r1q2Ds7Mzfv/9d8ybNw8zZ87E/v37H8mAUbD777//4vnnn0efPn30+0dBKh3r+vXr8/7RMbt79y7fP+sxomCSTjTkdIwelp/HHD9+PAdGFMzv27ePA57Tp0/neUwoiD106BAiIwtW+YwCSAqidG2BguacAinqkkr/Txqfd+zYMQ4I83MMQ0JCeBtl2ynAX758Ob788kvMnj37kf+VnZ0dTpw4gRUrVui3T548mfeRjpWNjQ0HmSLvH9SUkZdCQDmjaRHK+tvK9AgGaIs071fAt/Pgu3girF2deRtN/hzWaxwi3/0E2sRkA++xyAtlnOwqlzPJzJMhPxcTNu3F3WEz6SwpX3fp2RF+K6bBylZmRhNZKCJXcXFxNHiCLx+WkpKinD9/ni+zut12kHK99kulvtDz5teAAQOUrl275nhbr169lBo1avD6sWPHFDc3NyU1NTXbfSpXrqysXLmS16dPn66oVCrlzp07+tv37NmjWFtbK2FhYY99PhIZGcnH+ezZs3x91KhRSps2bRStVvvIffOzT02aNFGGDx+e7fbGjRsrdevWzfO47Nu3T/H19VUyMjL4+sKFC5WWLVtmuw9db968ebZtDRs2VCZMmKC/Tq9lypQp+uuJiYm8jY4LmTVrltK+fftsj3H79m2+z6VLl/J1jK5fv87X//7773w9ZkJCgmJnZ6ds3rxZf/u9e/cUR0dHZfTo0bkek3PnznF7oP9n7dq1laFDhyq7d+9+5JhkfYzy5csrffv21V+n/6Ofn5+yfPnybPtO/8u2bdvy8YyNjc32mI87hpMmTVKqVauWrY0sXbpUcXFxUTQajX6/6tevn+1xDx8+zI9z4MAB/bZdu3bxtoffy497rwuhk5CkUX75O4kvheGk3w5XQnqMUa74NNcvN556RUk+dsrQuyZyoY6NVxJ2HuVLkT9xX/+oXPF9Vt/G7475WNHe/94TliEuj/gkK8nkFTN1RDQ0YZGlvtDzFgf6fa07K0UZksTERO4uSF38dMv169ezdR2k7At1+9Rp0qQJZ5xy6wL3v//9D71790alSpW4u6UuS6frqkfdOymzU61aNc5mUdZJJz/7dOHCBS4OkhXt0+PQGLxevXpxZofQPlIG6OFuknXq1Ml2nTKFlFnM7T6U9aPXqbsPvQYa25Z1/ylzSHTPdfnyZd6X3I7Rwx73mLRQN9isx4W6m9IxzguNTaVuoL/99htnu+g1dO7cmbvL5iXr66f2RBnBh48RHV/KWNL/l86G5vUYDx9D+h/T/zTrGdRmzZpx27hz545+29O5TJic9bHp/0ce3j/xAL2f6bgausCAsUpK1eLP86l8mZO0dC3enBvGC62LkmmLtsH+POmzzyfvwsrJkbepb4Uh9KXRiJy4ENqk7N3vjYU2JQ23W73OC61bEm1CMlIO/c6XpsYQn4txq39A5NhP6McaX3cf3J2rzlrJWE6RA8nrFjMbPy+Tfl768Uxjrwj9YKYfwNSt72FFKaRCQQKNs1u1ahWCgoL4A7JWrVr6whjU/ZKCNuqOeeDAAe6y99xzz3HXyZLaJ+oGuG3bNp62gLr+ZR0vRsHfnDlz9NuoImlWFGg8/CGf133oNdAx+Pjjjx/ZD13A0aVLFwQHB/NYNgqgHz5GD3vcY1KX2sKirqLULZIWGt/2zTff8Hg/6vKoaysPy88xou6W9FgnT57krqaFeYzHoeDwcfunCxQlgHn8jxkK1qk9iILRKsDVOxn6dVFybZG70A3sBqdWjRAx+kOk/po5VUv8l1uRcugP+H72Pk86blS0WqSfu/8ZLZ9DJqO0Pxdjl23EvelL9dfdR7wK7+nDpRu9yJUEecUs+MCD0vKmhsZenT17FmPGjNEHW+Hh4ZzZyjom7mGUXQoNDeWAjVDWhz7wcsoS3bt3jzN8FOA9++yzvO348eOP3I+yNpTJoqVHjx5cDZQCsfzsU40aNXi8HBUZ0aF9yguN+6Og6uG52SjLRGO3aNxdcU14Sq/hhx9+4P3XZQ1zOkY09QSNNaQP8JyOUUEes3LlyhzY0HHRjXuLiYnhjGHLli0LtP+U3SOUhSsKGqdHgSsFtLt27SrQftD/mF5v1swzZV2p0Av9H4UwJjRWb94oX/26KHm2FYIQtG0x4lZvRfTsFVxePuP6HYR2Hgn3t3rBa+JgoylyYuVgh8DvP9WvC5GVotXi3gfLEbdso36b59gB8Jw4SAI8kSc5JWuhqOAFBUtUwIKKb1CRkq5du3IVR11wRNkz6hJHlTEp2KHpFmh6AcrgUMEKHaqAOWDAAO4ySMUzqIslZd/o7NbDdNUiKUNF2SUKLKkIS1affvopV7a8ePEiByHff/89PxZl6vKzTzQVBGXfqIgK/f306dNx7ty5PI8HFe2gYJKCjqwLVZKkKo9UyKQ4q7dSwErdFamwCnWl/Pnnn/H6669z5lB3jKjKaW7HqKCPSd036bVQ8RV6POqCSd1iH3f2kY4JTaFAweHNmzc5g0rPVbVqVX130KIYNWoUF0uhdve4QDYrKuZy+/Zt/ntqJ1RMhv7PdJwk0ySMjcraCg1qOPJC66J0UBc2jyE9EHz4K9g3rJW5UVH4x/KdtoOQeirv74XSYqVSwalVQ15oXQgdbWoa7g6eni3A83r/TXi9P1gCPPFY8mvIQlHQQt34KPNDWTIaz0VVLenHsi5jRR8gu3fvRosWLThYoB/2r776Kv/YpxL9OlSF8uWXX+bud+3bt+fxTrlVs6Qf4Bs3buSqmBREUdbwk08+yXYfysZQ1UqqzkhdBCmQo/2gv83PPlH2b+rUqTzNAY3Jotsoa5Qb2hcKULt37/7IbTRWjLJpFAQWF8p4UtaJgi86XrVr1+ZukBTE0mukhYJcGpdIt+V0jAr6mIQeg7Kn1K2TgmWaxiK3MWs6NO0AVU2lv6FjTcE8BXcUYOeUMSwM2k+qpEnthwL2/KAurNQO/vjjD64IO2zYMA5ip0yZUiz7JLKjNkRTlkgAnTMHOyvUqmTHl8L42iJVbyzz0+fwnjEcVvaZmbKM/91EyPPDcW/2Sv0cY6L00YTdDo1qm+TE3SX9uaiJjkNY9zFI+un+8BSVCr6fjofn2Ae9lITIixVVX8nzHhYsPj6ef+TTnG/UfTArmneNxo3RmCTKZAkhzJO810VRaTQKF2YhDWs6QKWSYNBQ0i9dR8SoD5H29wX9NrualeD32WTY16lqkH1S1GokH/qD153aNIJVMZ1AE6Yr43oIwl4dh4xrmYXEqJCQ/5cz4ZxlTkhhueLziE+yktOyQhghOvdCwYWcgxHGUmCAugBLcZqcqTUKomLVfJmTdLWCScsjeaF1Ybi2aFetIsrsXsZd3nB/TrH089dwp8MQRH/8pUGyekpaBsL7TOCF1i2JkqGGOjyKL01NSX0upp4+jzvPD9MHeCo/L5TZ8ZkEeKLAJMgTwkip1ab3pSfME/2IiYyMlCAvF/fiNPh6dzxf5oSG4VUrZ8eLDMkzfFukTBl1eQvevwp2tZ7I3KjWIGb+Wtxu8wZS/ziLUmVtDft61XmhdUuivnsPMZ+s4UtTUxKfi0l7jiG029vQRsXyddtqFVBm70rY1817uiMhciJ9AoQQQogSZG9njeUTHy1EJQzL/skqCP55JWIWfo2YRes50Mu4fBMhL46A28Bu8J46FNauOU/DUpyoyicFnMKy0Rx4UZMW6+fAc2hWHwFr50Dl4WroXRMmyrJOGQkhhBBC3GdlZwuvCYN4+iP7+jUyNyoK4tdsw61m/ZC0N/9Vf4Uo7BQJUdOXIur9RfoAz6V7OwRtmi8BnigSCfKEMFJ2djJfkjAOVD2O5h+U6prCXNsiZfXK7FkO71mjYHW/0qMmLBLh/d5H+BtTTbI7oTD+tshTJLw5I9sUCR7v9IPfsin6SrBCFJZ8YwthhGiqCAryZB4cYQwkyMsbvUtV1pmXOUlL12LU/HBeaF0YZ1ukOeo8hvVE2WNfw7FNY/12KmF/u1lfxK//qUSKYWlT0hDy/Fu80Lol4a84lSrz0sLaon6KhB2HH0yRsGA8vCcP4TkehSgqaUVCGCH6IZGSkiLVNYVRoPkXL1y4wJfiUX5eNhj9qhdf5kSrAOeupfNC68K426JtuUAEbvwEfiumwdrbnbdp4xIROXYeQl8ajfSrt4v3CbVapP75Hy+0bklsyvjDd95YvrSktphxI5SDel2RH5oiIWD9h3Dr36UE9lRYKim8IoSRkh/UwljQyQaaj0dOOhSOnY0VZg7x0a8L42+L1IvCtXs7OLVqiKhpS5G4eS9vTz3xN+60HAjPcQPhMaI3rO5Pw1Ck57K3RcC6Ofp1Yd5tkaZICOszQV9BU+XrhcDv5kkFTVHsJJMnhBBCFAFNnbB+T1yuUyjQ5OfN6znxIhOhmxaVtwf8l05G4OYFsCkfyNtoLr3oOV/gTrvB/IO9qGhKB+fnW/BiaROh0xx5MQvW8aUloEI+2aZIqFoeZfaukABPlAgJ8sQjjhw5wmcxY2MzP4SEEELkjiZBj4zR5DoZujB9Tq0boezRdXAf/qp+Lrv0c1cR0uktRE1ZAm1isqF30SQpag3UoRF8ae7ivtyK8AGTodwfd+nQtB7K7FrO3YOFKAkS5FkYCt7yWmbMmGHoXTQ6v/zyCzp37oygoCA+Rtu3b8/1vq1bt8bq1avxzz//oHfv3ihbtiwcHR1Ro0YNLF68uEDPa29vXwx7L0TRUWGBSpUqSeGVQtJoFZy5nMoLrQvTbIvWzo7w+WAEyvy88sEk6lot4lZ+j9stBiDpwG+FelxFo0HKib95oXVhXm2Rp0iYsRRRExfqx1y6vNQWQZsXyBQJokTJN7aFCQsL0y+LFi2Cm5tbtm3jxo0z2L6lp6fDGCUlJaFu3bpYunRpnveLjo7GiRMnOCA8deoU/Pz88M033+DcuXOYPHky3n//fXz++ef5ek4KJm1tbaW6pjAK9COG2rMEeYWTnqFg7KIIXmhdmHZbdKhXHcH7voDX1GGwcsgsc6++HY7w3uNx962Z0ETFFOjxlNR07sJHC60L82mLPEXCkA8QtzTLFAlv9+GiPjJFgihp8o1tYQICAvSLu7s7BxFZt7m4uOjvS4FKgwYN4OTkhKZNm+LSpUvZHuvHH3/EU089BQcHBz6b9cEHH0CtVutvv3XrFrp27cqPScFkz549cffuXf3tlDWsV68eZ74qVqzIj/P111/D29sbaWnZy0h369YN/fr1y9dr1D2uzsqVK+Hr68vZtcLo1KkTZs+ejZdeeinP++3atYuPh7+/P9544w3O3LVs2ZKPTd++ffH6669j69at+XpOGsidnJwshS6E0RQBovePFAMqHDpXUz7Qlhc5b2MebZEKrni+3Ye7cDo++5R+e+KW/TyJevyGXZzByd+DWcG2WgVepIGYT1vMuB7CgXvSj4cyN1hbw+eTd+FNJwfkhJkoBdLKSkBKmpaXrD/QM9QKb3v4LK7uvtosXXhoXEdB7ltSKPu0YMEC/PXXX7CxseHARefYsWPo378/Ro8ejfPnz3MgtXbtWsyZk1khTKvVcoBH2a2jR49i//79uHbtGnr16pXtOa5cuYIffviBg58zZ87glVde4Q/MHTt26O8TERHBARQ9/40bNzgwpXGD+UEB5JQpU/j5KRunCz4p8MxrmTt3boGPF+0zvebcUBUuLy+vfD8eHUMhjIFM6ZE3dxdrvNjchS9z4mBnjTVTA3mhdWE+bdG2UjACf1gE38UTYX2/6502Og6R73yEO+3eRMqvZx77GNZODih3fD0vtG5JVF7uPG0AXZpLW6Tr8d/uwu3WryPtVGZhHisnBwSsnwv3gd0MtLfCEllWGadS8sKYO3y59eMy8HBV8fqm/fH46qc4PN/MGeP6eOvv231CCFLTFXw7KwgB3pn/ju1HE7BsSyzaNnTC5Nczy26T16aGIi5Riy+nBKBiUGaaf+/JJP5xURIoYKNMFJk4cSJeeOEFpKamcsaNsna0bcCAAXw7ZatmzZqF9957D9OnT8fBgwdx9uxZXL9+ncelEcrSPfnkk/jzzz/RsGFDfRdN2k6ZNv3rfO01rFmzhgM+Ql0ey5Urh1atWiE0NBTVqlXj7OLj0GNQF8l9+/Zly+zR2DoKKPNSkGCMUOZx7969uY5p/PXXX7Fp0yYOVoUQ5oUCt6rlpOuVpaITj26vvQCn55rg3uTFSNyemblJ//cyQruOgnPnVvCe/hZsywcZeleNDgW15lRZkiY4jxz7CZJ2HdVvs6kQhIDVM83qdQrTIEGeyFWdOnX064GBgfqsGgVc1EWBxp/pMneEMnAUBFI3Q5oglII7XYBHatasCQ8PD75NF+SVL18+W4BH3nzzTb49JCQEZcqU4QzhwIED+YuUrl+8ePGx+04ZwqFDh3IXVApAs6KsZJUqVVCcDh06xH3zKYh92H///ccZPgp+27dvX6zPK4QwvKQULS7eTEf18nZwdpRMnaWy8fOC/6oP4DagK6KmfIb0c1d4e9JPR5D08wl4DOsJz3f6wdrV2dC7ajS0CUlIPX0BDk/VMPnjknz4D0SMmgvN3Xv6ba59XoDP7Ldh7fL4E9NCFDcJ8krAroXBfOlg96Bvfa92bujexhUq6+z97X/4uAxf2ts+2N6tpSteaObyyH0p2/fwfTs2KbkPRSr8oaMrAKLrQpiYmMjZvJdffvmRv6NMX345Oz+6//Xr1+eulZTho6CICpcUNAOmUqlw/PhxDBs2DCNGjOBsoA5116SAMy+TJk3ipSBdNbt06fLIdurK2rZtWwwZMoS7jRZEQY6jECWJ3k/Vq1fnS/GoxBQtjp5ORrCfTY5BXlq6FlNWZM4DNnuYD+yly6ZZt0XH5k8h+OBqJHy7G9EfroImMoaq7yB2yQYkfLcHXpPehGvvTrC6/xq0KWkI7zeR1wPWfwRrR8uprKyJS0TSjsOwrVzW5II8XVu0SlcjatpSxK3aor/N2tMNvp++B5cXM3tDCWEIEuSVAEf7R7/AbW2seMnPfW1UVrzk976GQAVGqBBLbhkxmjLg9u3bvOiyeRTw0Nx7jwuwyODBg7n6J2XznnvuuWwZwfygQi6NGjXCunXruHgMZdJ03T+Lu7sm9b//6aefsgWShILTNm3acJfWrBnP/KCgmjKOQhgDao+UhReFQ8OoT11M1a8L82+LFMC59esMl25tELNwPWJXbuZATxMZjcgxH/OcaT6zR8GxWX0uq59y9K/MP5Sx2CbVFh3vRCHkrZnIuHhdv92xVUP4fTYJNgEPhtsIYQjyK1IUyrRp0/Diiy9y180ePXpwCWHqwkldE6kSJQVmtWvXRp8+fThYo6qbw4cP5zF+FHQ9Do3Lo+kcVq1axRk9HQr6KDNG2yiIexzaBxonRxm9Zs2acYBX0O6alLWk7p86NM6QgkQKBOn1UxVS6qLavHlz/X3oOFCA16FDB4wdOxbh4eH6M38Pd0/Nq7omjT2UaRSEodH79++//+Ysu5x8KDg7GytMGuitXxeW0xYpO+U9bRgXF7n3wTIk7cwcq5X+3/+48qLzCy3hNXkI/JZP5e1W9g960AjjRZVTo5d+h5i5q2B1fyJ3mhLBa9pbcB/8slTPFEZBWqEoFApedu7cyUVNaPzcM888g4ULF/IYO0KBCU2x4OnpiRYtWnDQR2PjqPhIftD0Dt27d+dKlzR9gk5GRgZnECkAyi8qBlO1alWewqAwFdmouij9oKCFUNBG6xToEnqdzz//fLYfHFu2bEFkZCRn92g8o27RjUXMD2OpHicEMXTJelOmUlnhuUbOvNC6sLy2aEvFN9bMRtD2JbCrfX8idRqvt+sobrcaiPTzV+HcoRmsTCBwtXTqkLsI7T4GsTNX6AM8uyerIPjAangM6SEBnjAaVor8ksxVfHw8BxtU+p7mecuKCoxQRkc3v5sofpSxo0ImS5YsgbEXqKHxdjQPYHGhtyVNwk5jFiWTZ1jyXs/MntDJDsrCm0L2pLTFJmhw5HQyWj3lpK+oLEqGObRFRaNBwsa9iJ7zBXff1FH5esLr/cFwfe0F/Xg9c0cTxyf+eBguXVtD5eMJY5e47SAix8+HNi6RrytWVnAf1hM+k4fI5ObCKOKTrOR0gzA6MTEx2LZtG8+FR0VTjBlNAUEZR5owXQhhmSiwo4JZuQV4Gq2CizfSeKF1Ydl4vF6fF1Duj+/gMbovYJfZRZMKtFD5/TttByH52ClYAgrs3Ae9bPQBniY+EXeHz8LdITP0AZ4qyBdxs4bAc9owCfCEUZJMXh4kk2cYFSpU4EBv6tSpPC7PEtHbkiqZ0lhHyeQZlrzXH0z66+joKO0xBxS4paUrsLezeqQqMklJ0+rnT6XqyzkV0RKW2xbTLl3Hneb9H9nu1Kk5vKcPh13lghUeM7WsppKSBitHe6PNXqac/AcRI2ZDfTtzbD2hgjre895Fur2NWbVFYV6ZPNPs6yDM2o0bNwy9C0aBAjwhjIWdnZypzk1UrAYb9sajT0c3+Hs9+rVKv//8vTJ/wMpvwaIzt7ZoWzYQNmUDoKSlQ+XvjfSz/+PtyXuOI/nAb3B9tRM83uoFuycyx7ybE3VYFGIXfg2PMf1hG+wPY6KkZyB63lc89QXu50OokI7PvLFw6d6Or9uZ4PhQYTnkV6QQRorG5AlhLIUuaByUKRa8MAYOdtb4bnYZXmhdFJ45tkVrJweUP/09Kpz7kYt3+H42iYM9lqFGwvqfcLtpX4T1nYiUE39LUa5SkP6/mwh5/i3ELv5GH+A5PFMXwUfWwLVHe87cmWNbFOZFvm2EEEIIIYwAVWZ0e7UTyv32LTzHDoCVi5P+tuSfT/C0CyHth3ABEEWtNui+miNNbAKiF6zlcZFp/1zK3GijgteUoQjavhi25QINvYtC5Jt01xRCCCGEMCLWLk5cadN9xKtI+GYnYld+D01oBN+WduYiFwChLp7uQ3tyERe6vyg8dXgU4lZuRtya7VCSUvTbbauUg/+KabCvW82g+ydEYUgmTwghhChB6RkKpq6I5IXWhchKm5qGsP7v80LrWancXOAx/FWU/2sTT5huV+vBHHtUCOTelCW4Wbc77s1cAXVYpAH23rRlXA9B5Lj5uPl0T8R+/t2DAI8yqm+8jOCDX0qAJ0yWVNfMg1TXFIaS9W0pVbsMS97rme2Rxp2oVCppjznQahXQnMg2KvptKNU1S5I5tkVtUgquV2jP6xVv7IO1s2Pe1UWPn0bc0o1IPvhb9httbeD68nNwH/4q7GtWhinQpqRCoUrSjg6lOol42rkrXFAlcfshegPrt9NUCK69O8FjxGs8gb2ltUVhGqS6phAmTjeFghDGMicklQoXj6LALq96KrY2Vhj7mpd+XRSNubVFKztb+H46Xr+e532trOD07NO8pF+8jtjlm5CwZR+lizOLtGzay4tjq4bwGNEbji0bGHUAEtLpLTi2agCfGaUzJ27Kb/8idsk3SN5/Mtt2Gvvo/no3uA95BTYBPhbbFoV5kV+Q4hE0CTl9KcTGxhp6VywazQUlhDGgs9X//vuvVJHLRUyCBj8ciufLnNiorPBicxdeaF0Unjm2RStbG7j168ILreeXXfWK8Fs8EeVPbYbHO/1g7eGqvy3lyJ8Ie2Us7rR+HQmb9/J0AMYm/dJ1pJ+7gvi1PyLj7r0Sex7KuCUd+A0hnUcitPOIbAGetbc7vN5/E+XPbIH3tLcKFOCZY1sU5kWCPAtDwVtey4wZMwy9i0bnww8/RMOGDeHq6go/Pz9069YNly7dr7r1EOrSd+DAAb69devW8Pf35y5+lSpVwpQpU5CRYXxftEKIoqFxdjfD1TLeThgEBSbek4eg/N9b4DN3NGzKP6gAmX7uKiJGzMHNBr0Qs/gbpF+9DWORuPMoX9I4uLQ//yuRidapCumdNoMQ3ns8Un/7R3+bTbA/H6vyp7fAc2x/qNwfBMhCmAvprmlhwsLC9OubNm3CtGnTsgUsLi4uPO+LIVC3B2Oc5Pbo0aMYMWIEB3pqtRqTJk1C+/btcf78eTg7O+vvR2f0YmJi0LJlS9y+fRv9+/fHU089BQ8PD/zzzz948803uQvm3LlzDfp6hBClP2bvZnjmCZ7yAbY5jtsTlovGpGVcvsnrtlXLF3psGlXYdH+zB9zeeAlJu35B7NLvkHb6At+mCYtE9OyVvNhUKAOnNo3h1LYRHJs9lecYwJKUuO1Q5oqVFZIP/g6XF1sWy+PSpPLUZTXms2+hvhGS7TbbJ8rD4+0+cO3erkBZUyFMkWTyLExAQIB+oUGblL3Luo2CPJ1Tp06hQYMGcHJyQtOmTR/JXv34448cxOgyVR988AEHQTq3bt1C165d+TFpYGjPnj1x9+5d/e2UNaxXrx5Wr16tL2rx9ddfw9vbG2lp2SuMUfasX79++XqNusfVWblyJXx9fTnQKoy9e/di4MCBePLJJ1G3bl2sXbuWXxsdn4ePR8eOHWFra8vH4/XXX+f7ly9fHl26dEGfPn1w7NixfD+vMY+jEJaHiguIwknLUDBodjgvtC6KxtzaopKShtvP9ueF1ovKSqWCS5fWKLN3JYJ+WgqnTs05kNKhwCf+q60I7zMR16u+gNAeYxC7bCN3nyytWnxU1TLj0vXMK4rCcwAW9bm1icn8OqhSZuS7n2QL8Ozr14D/2jkoe/xrnoewuAI8c2uLwrxIkFdClbJoyfqBRf3heVtaes73zVLdSclQZ25/qJRybvctKZMnT8aCBQs4s2djY4M33nhDfxsFK5SpGj16NGe0KJCi4GfOnDmZ+6rVcoAXHR3NmbD9+/fj2rVr6NWrV7bnuHLlCn744Qds3boVZ86cwSuvvML923fs2KG/T0REBHbt2sXPf+PGDQ5+aNxgflAASd0k6fkp4CIUoFHgmdeSV7aNqhkRL6/MQgo6tM/0mnNCr5OCRcry5Qe9RsoSSqAnjAG9/ymTTZeicNxdrHkRRWOubZHGhtFSnOj7w/GZOgj8+kOUPbkBXtOGwaFZ/cwysDrpGUg5+hfuTV+K283741b9HogYOw+Ju36BNiEJJSVx5xGepkBHExn9YPLxfNLci+WxdtHz1yDstfcyp5KYvhSaLOP7HFs8jcAfFqLMzyvh8kKLYq3gaa5tUZgPaZklQFcKucKFHVD5ePI6zb8S/eEquPZ9EX4LJ+jve6NmFyjJqSh3ajNsy2X2o4/7civuTf0MLt3b8SScOjeffgXae3Eoe+xrHnBNEjbu5sHaJYECNl1QMnHiRLzwwgtcTp4ybpS1o20DBgzg2ylzNWvWLLz33nuYPn06Dh48iLNnz3Lp+bJly/J9KEtH2bA///yTPxh1XTRpO2XadF577TWsWbOGAz7yzTffoFy5cmjVqhVCQ0NRrVo1zi4+Dj3G+++/j3379mXL7AUFBXFAmZeHAzgdCl7feecdNGvWDLVq1dJvDwkJ4e6anTp1ynZ/yoCePn2aM5NDhgzBzJkzkR9SmlkYE2qPdHJDl/0X2bk6WaNNAye+zAlNmbBtXnCp75c5Mse2SN0lK17cWaLPYVe5LOxG9YHnqD6c8Uo5doq7SNI0DOo7D3rYqEMikLD+J14oGHRoWAtObZ/h7p12tark+5jzVA9H/oQ2PudAkbpTQnlwwhoqa8Qt3wT18y1yvL8q0Ac0T0na3xeQ+vdFpJ25APXNB8NPHub8QgvulunwVE2UFHNsi8K8SJAnclWnTh39emBgoD6rRgEXdX08ceKEPnNHKCihIDA5ORkXLlzg4E4X4JGaNWvy+DS6TRfkUVfGrAEeobFrdDsFTmXKlOEMIXWXpA9Run7x4sXH7jtlzoYOHcpdUCkAzYrOulWpUqVQx4TG5v333384fvz4I1m85s2b8+vLisY9JiQk8PEaP3485s+fz4FwftCxzDrmTwhDofc2ve+o+7actX6Uk4M16lW1zDkUS5u0xaKjsXvOnZ7lhQKVjCu3ONijoC/15D8PehypNXydFhrLp/LzyhzL16YxHBrVgrW7K6ycHXMMcLTxiQjrM4GndcgXjRaJWw/wUujX5eEK547N4THqNdhVrYCSJm1RGDtplSWAJjMlVk4PvvQ9RvaG+9BXYJW1mwRl+85ndku0crTXb3Mf9DLc+nXmM1tZlT/1/SP3dX31+RJ6FeCxZTq6D3HKZJHExETO5r388suP/F1BJozOKYipX78+d62kDB8VODl37hx31ywIyoBRIDZs2DAOzCgbqEPdNSngzAsVV6Elq5EjR2Lnzp345ZdfEBwc/EiQR+PuHqYLcun56AuBsnnvvvuu9OMXwozQZOc3QjNQIchWJjoXJoW+2+2eKM+Lx7Be0CanIuXE30g5RFm+35Fx/Y7+vpqIaCRs3MOLnkoFazfn+4vL/cUZKjcXDiKTD/8OJTEZKOahfvQ7yL52Vdg/VYPH2znUqw6bimUkoyZEFhLklYCcKlXRBKc5TXKa431tbXIcFJzbfQ2BCq5QIZbcMmI1atTgCpO06AIdGrtHc+89LsAigwcPxqJFizib99xzz2XLCOYHFXJp1KgR1q1bx2fZaKycrvtnQbtr0pnOUaNGYdu2bTwWkB47Kwp4Dx8+jOXLl+f5mBQg0xQKdClBnhDmIz5Jiz0nk9Cno1uOQR5NrfDJN5njhMb39YadrfwQFQ/Q+PvIdz7mdd9FE2Dt8OBEbmmzdnKAc7smvJCMa3eQfPgPzvRR8EfDS7LRaKCNieel5HbKGnZPVoZD/Rqwr1edAzu7ahVgJdkzIfIk7xBRKDT1wosvvshdN3v06AFra2vukkhdGWfPns2BWe3atbmiJAVrVHVz+PDhPMaPgq7HoXF548aNw6pVqzijp0NBX9u2bXkbBXGPQ/tA1TYpo0fj6CjAK2h3TcoEfvvtt1w9k+bKCw8P5+3UD9/R0ZELqlStWhUVKjzoHrJhwwbOhNLz29vbc/EaGh9IhWeyZkjzQsdUCGPABRwcc+6WJR5Po1Vw8M9kXh/7Gp1AkuNYWGbZFqmr4g/7edV3wXgYE9tKwXCnZdDLHIym/n4WyYd+h/pmKHfJ1MQl8rg7WqeFungWB+oJ5dq/K1y7tIJdrSdgnaUHk7Ewy7YozIoEeTlYunQpL9S9TuSsQ4cO3HWRCol8/PHHHLhUr16dM3CEPvQoKKIMWIsWLThgoekFPvvss3w9PgVQ3bt3526aNH2CDmXCKINI4/7yi8bAUXdKmtKAArKCfiDrMnRU+OXhwi40VpBe58NdNSmQpONy+fJlzgTS2EPq7jlmzJh8PSftY36KywhRGijzrKtOKwrO1sYKw3t46NdF4ZljW6RePt6zRunXjRVlGJ1aNuAlJ/RdR5k+qsrJQd/9AFATn8CXlBVM+G43tLHxeXbfpKIpfp9NgrWrcY9JN8e2KMyLlVJak6KYoPj4eA42qHoSzfP2cFEMqhypm99NFD/K2FE1ziVLlsBYUYbS398fe/bsyVdmMb/obUmPTcGinCU0LHmvZ3Y1joqKgo+Pj2SYc3A3Wo0Ne+O5u6a/l5w7LUnSFk1bSLe3kXryDKDN5aentTW8Jg6C55j+MHbSFoUxxidZSasURicmJkY//o26ShozmgeQsnO6aqHF6eEJ4YUw5I8ZmudSV3hJZEfZuUAfG8nSlQJpi6aL5rWjSp25BnhEUZC47SBMgbRFYezklKMwOlRdkwI96u5Ic+IZMz8/P55sXQhhubzcVOjdPvezqVqtgoiYzO7/fp4qWFtLMCgeULRa/Vx1NsH+xTphtzFJ2nOc3gwPNtD74OGAT1GQfuEaMm6EwrZCUKnvoxDmRII8YXRu3Lhh6F0QQohik5ah4LWpoby+a2EwHO0lyBMPKClpuPV0T/0UTDT3nDlK3HGYu2NyoHd/6gW/pVOQfuk6z8PHNFoO/pJ2HYXHiN6G3mUhTJp5ni4SwgzINAvCWNC4UOr/L+NDcx+T9+m30XyZGwc7K15E0ZhrW6Rqklnn1jU3mrgEpPxySp/Jc2xeH2WPr4ddjUpQXw+B/9o5sAn0vR8EKkjcfgjGzlzbojAfkskTwgjpSjMLYSwnHGjuS1E4NHfe7kUFm+tTWE5bpDlwK93MnELBXCX/fILn1KMMnve0YXAf1pO7pWbc76ZqX+sJlP1lHSLHzUfi1gNIO3MR6tAI2AT5wViZY1sU5kUyeUUkxUlFSbWr9PR0aV9GQP4HmQUG7ty5IwUGhMFJWzRN6rv3YFMpGGX2roDH8FdzHHdIUyb4rZgGv88nw9rTDeqwSBgzaYvC2EmQV0i6Ca0LMl+bEAVBQZ4wPN17PL+T2Jsj+TEjjIW0RdPkMfI1lPvtWzjUq/7YXiyuvTqiwqWdcHj6SRgzaYvC2El3zSKk6T08PBAREcHXaeJq6ZctijN7RFMoUDuTdmW4/wEFePQep/e6jJEUhZWeoWDJ5mhef7unF+xs5T0tHlDS0hE5cSGv+340Blb2djA3Bf0ek+89IYpOgrwiCAgI4EtdoCdEcXfXtLOzky87A6MAT/deFyIn3u4qvN7ZHa5OOXeO0WgV7D6RxOsjenjST9hS3kNhzBS1Bgnf7OR1n9lvw8oeFsPG3xueEwdD5eFq6F0RwuxIkFcE9OM7MDCQ50rLyMgw9O4IM6LrBhIcHAxrM50zyRRQF03J4FHBO2v4+vpKW8yFjcoKnq6qPG9/o7O7fl0Unjm2RStbG3i9/6Z+3ZLQ67XxpRMfpscc26IwL1aKVBXIVXx8PJfHjYuLg5tb7hPdCiGEsFxxiRr8+m8KmtZxhLuLnBQQIr8092KRtPcEnDs2g8rbw9C7I4RZxSdy+kEII83kXb16VQZ0C6Mg7TFvqekKLtxI50tRsqQtmhdtShrSTp/nS1MjbVEYOwnyhDBC9KURGRkpXx7CKEh7LBrqMBOboOFFOs8UjTm2RWoTmqgYXqR9mA5zbIvCvFhW528hhBCilFGG7+UJIby+a2EwHO1lXJ54QElOxY0aXXi94o19sHJ2NPQuCSHMgAR5edCdUaO+r0KUJrVajaSkJG57NjbyNhWGJe0xbwnxaqQmxyMhHnDM4fikpGmhTk/gdTqGGfbSiaawzLEtapNSkKBV8zq9LmuN5RRyy0hIQEJaKqwTEmAbb1rBrTm2RWEadHHJ4zL/UnglD1TdsGzZsobeDSGEEEIIIYTQu337Nldhz40EeXmgftahoaFwdXWVucpEqZ+loRMM9AaWyq7C0KQ9CmMhbVEYC2mLwlAodEtISEBQUFCeU3hIfjkPdODyipCFKGn0xSFfHsJYSHsUxkLaojAW0haFIdAUCo8jAwOEEEIIIYQQwoxIkCeEEEIIIYQQZkSCPCGMkL29PaZPn86XQhiatEdhLKQtCmMhbVEYOym8IoQQQgghhBBmRDJ5QgghhBBCCGFGJMgTQgghhBBCCDMiQZ4QQgghhBBCmBEJ8oQwkKVLl6JChQpwcHBA48aN8ccff+R631WrVuHZZ5+Fp6cnL88991ye9xeiJNtjVhs3boSVlRW6detW4vsoLENB22JsbCxGjBiBwMBALoJRtWpV7N69u9T2V5ivgrbFRYsWoVq1anB0dOSJ0seMGYPU1NRS218hspIgTwgD2LRpE8aOHcuVuU6fPo26deuiQ4cOiIiIyPH+R44cQe/evXH48GGcPHmSvzzat2+PkJCQUt93YX4K2h51bty4gXHjxvEJCCEM0RbT09PRrl07botbtmzBpUuX+KRYmTJlSn3fhWW3xW+//RYTJ07k+1+4cAFffvklP8akSZNKfd+FIFJdUwgDoDOCDRs2xOeff87XtVotB26jRo3iL4nH0Wg0nNGjv+/fv38p7LEwZ4Vpj9QGW7RogTfeeAPHjh3jbMr27dtLec+FpbfFFStW4JNPPsHFixdha2trgD0W5qqgbXHkyJEc3B08eFC/7d1338Xvv/+O48ePl+q+C0EkkydEKaMzz6dOneIulzrW1tZ8nbJ0+ZGcnIyMjAx4eXmV4J4KS1DY9jhz5kz4+flh0KBBpbSnwtwVpi3u2LEDTZo04e6a/v7+qFWrFubOncsnIYQozbbYtGlT/htdl85r165xt+Hnn3++1PZbiKxssl0TQpS4qKgo/gFCP0iyout0Njo/JkyYgKCgoGxfQEKUVnuks9LUFenMmTOltJfCEhSmLdIP6UOHDqFPnz78g/rKlSsYPnw4nwSjbnNClFZbfO211/jvmjdvDuokp1arMWzYMOmuKQxGMnlCmJiPPvqIi11s27aNB4MLUZoSEhLQr18/Hvfk4+Nj6N0RFo660FFG+YsvvsDTTz+NXr16YfLkydyNU4jSRGPnKYu8bNkyHsO3detW7Nq1C7NmzTL0rgkLJZk8IUoZ/TBWqVS4e/dutu10PSAgIM+/nT9/Pgd5Bw4cQJ06dUp4T4UlKGh7vHr1Khe56Ny5c7Yf2sTGxoYLX1SuXLkU9lyYm8J8NlJFTRqLR3+nU6NGDYSHh3OXOzs7uxLfb2F+CtMWp06dyifABg8ezNdr166NpKQkDBkyhE88UHdPIUqTtDghShn96KAzzlkHZ9OPZLpOY0tyM2/ePD4juHfvXjRo0KCU9laYu4K2x+rVq+Ps2bPcVVO3dOnSBa1bt+Z1KkwgRGl9NjZr1oy7aOpONJDLly9z8CcBnijNtkhj5R8O5HQnH6TGoTAIqq4phChdGzduVOzt7ZW1a9cq58+fV4YMGaJ4eHgo4eHhfHu/fv2UiRMn6u//0UcfKXZ2dsqWLVuUsLAw/ZKQkGDAVyEstT0+bMCAAUrXrl1LcY+FuSpoW7x165bi6uqqjBw5Url06ZKyc+dOxc/PT5k9e7YBX4WwxLY4ffp0bovfffedcu3aNWXfvn1K5cqVlZ49exrwVQhLJt01hTAAGjcSGRmJadOmcbeievXqcYZON8j71q1b2c4ILl++nLse9ejRI9vjUGGBGTNmlPr+C8tuj0IYS1ukzPHPP//Mk05TF3aaH2/06NFcnEqI0myLU6ZMgZWVFV/SHLa+vr7crX3OnDkGfBXCksk8eUIIIYQQQghhRuTUrBBCCCGEEEKYEQnyhBBCCCGEEMKMSJAnhBBCCCGEEGZEgjwhhBBCCCGEMCMS5AkhhBBCCCGEGZEgTwghhBBCCCHMiAR5QgghhBBCCGFGJMgTQgghhBBCCDMiQZ4QQgghhBBCmBEJ8oQQQpiVgQMHwsrK6pGlY8eOMEdr166Fh4eHoXdDCCGEEbEx9A4IIYQQxY0CujVr1mTbZm9vb7D9EUIIIUqTZPKEEEKYHQroAgICsi2enp5825EjR2BnZ4djx47p7z9v3jz4+fnh7t27fL1Vq1YYOXIkL+7u7vDx8cHUqVOhKIr+b2JiYtC/f39+XCcnJ3Tq1An/+9//Hsmw/fzzz6hRowZcXFw4+AwLC8u2r6tXr+bbHRwcUL16dSxbtkx/240bNzgLuXXrVrRu3Zqfp27dujh58qT+tbz++uuIi4vTZyxnzJiR4zGh7fXq1dNfX7lyJXx9ffHPP/8UwxEXQghhTCTIE0IIYVEogHvnnXfQr18/Do7+/vtvDuAo2PL399ffb926dbCxscEff/yBxYsX49NPP+X7ZO0W+tdff2HHjh0cdFEA+PzzzyMjI0N/n+TkZMyfPx/r16/HL7/8glu3bmHcuHH62zds2IBp06Zhzpw5uHDhAubOncv7Qs+d1eTJk/nvzpw5g6pVq6J3795Qq9Vo2rQpFi1aBDc3Nw4eacn6+Lmh1zFlyhTs37+fg0YhhBBmRhFCCCHMyIABAxSVSqU4OztnW+bMmaO/T1pamlKvXj2lZ8+eSs2aNZU333wz22O0bNlSqVGjhqLVavXbJkyYwNvI5cuXKaWnnDhxQn97VFSU4ujoqGzevJmvr1mzhu9z5coV/X2WLl2q+Pv7669XrlxZ+fbbb7M996xZs5QmTZrw+vXr1/kxVq9erb/93LlzvO3ChQv653F3d3/scZk+fbpSt25d5auvvlJ8fHyU06dP5+t4CiGEMD0yJk8IIYTZoa6Ny5cvz7bNy8tLv07dNSmLVqdOHZQvXx4LFy585DGeeeYZ7v6o06RJEyxYsAAajYazbpTla9y4sf52b29vVKtWjW/Toe6VlStX1l8PDAxEREQEryclJeHq1asYNGgQ3nzzTf19KENHXUSzov3M+hiEHoe6dxbElStXMHToUO6+WqlSpQL9rRBCCNMhQZ4QQgiz4+zsjCpVquR5n19//ZUvo6OjeaG/KW62trbZrlPQqBvXl5iYyJerVq3KFiwSlUqV6+PoAk+tVlvg/aHHPX78OIYNG4YRI0bgm2++KfBjCCGEMH4yJk8IIYTFoQzamDFj9AHWgAEDHgmafv/992zXf/vtNzzxxBMcKFGhFMq4Zb3PvXv3cOnSJdSsWTNf+0Dj/4KCgnDt2jUOSLMuFStWzPdroawkZRfzgx63UaNGPObv+++/50UIIYT5kSBPCCGE2UlLS0N4eHi2JSoqim+jgKhv377o0KEDV6akqRb+/fdf7oqZFRVJGTt2LAdu3333HT777DOMHj2ab6Ngr2vXrtzNkjJjVKGSHrNMmTK8Pb8++OADfPjhh1iyZAkuX76Ms2fP8v5QkZf8qlChAmcFDx48yK+Rir08Tu3atbnaJmX0QkND8/1cQgghTIMEeUIIIczO3r17eexa1qV58+Z8G1WyvHnzJk8hQOi2L774gqtNZp1OgKZHSElJ4cwXdW2kAG/IkCH62ykYe/rpp/Hiiy/yeD3qhrl79+5HumjmZfDgwVzpkh6LAq+WLVvy1AsFyeRRhU0K1nr16sVTItB0EPnx3nvvcaVOCnSzTg0hhBDC9FlR9RVD74QQQghhbNMs0JxyND2BEEIIYWokkyeEEEIIIYQQZkSCPCGEEEIIIYQwI9JdUwghhBBCCCHMiGTyhBBCCCGEEMK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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal κ — Annealed: 0.49 (theory: 0.50)\n", + "Optimal κ — Debiased: 0.74 (theory: 0.67)\n" + ] + } + ], + "source": [ + "subopt_debiased = []\n", + "for kappa in kappas:\n", + " eps_k = eps_0 / (1 + iters_sweep) ** float(kappa)\n", + " c = run_debiased_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_k)\n", + " subopt_debiased.append(float(c[-1]) - OT_geo)\n", + "subopt_debiased = np.array(subopt_debiased)\n", + "\n", + "kopt_deb = kappas[np.argmin(np.abs(subopt_debiased))]\n", + "\n", + "fig, ax = plt.subplots(figsize=(9, 5))\n", + "ax.semilogy(kappas, np.abs(subopt_annealed), color='royalblue', lw=2,\n", + " label='Annealed Sinkhorn')\n", + "ax.semilogy(kappas, np.abs(subopt_debiased), color='crimson', lw=2,\n", + " label='Debiased Annealed Sinkhorn')\n", + "ax.axvline(0.5, color='royalblue', ls=':', lw=1.5, label='Theory: κ=1/2')\n", + "ax.axvline(2/3, color='crimson', ls=':', lw=1.5, label='Theory: κ=2/3')\n", + "ax.axvline(kopt_ann, color='royalblue', ls='--', lw=1, alpha=0.6)\n", + "ax.axvline(kopt_deb, color='crimson', ls='--', lw=1, alpha=0.6)\n", + "ax.scatter([kopt_ann, kopt_deb],\n", + " [np.abs(subopt_annealed).min(), np.abs(subopt_debiased).min()],\n", + " marker='*', s=200, zorder=5, color=['royalblue', 'crimson'])\n", + "ax.set_xlabel('Exponent κ')\n", + "ax.set_ylabel('OT suboptimality at t=200')\n", + "ax.set_title('Fig. 2a: Optimal κ — Annealed vs. Debiased\\n'\n", + " r'$\\beta_t = \\beta_0(1+t)^\\kappa$, geometric cost')\n", + "ax.legend()\n", + "plt.tight_layout(); plt.show()\n", + "print(f\"Optimal κ — Annealed: {kopt_ann:.2f} (theory: 0.50)\")\n", + "print(f\"Optimal κ — Debiased: {kopt_deb:.2f} (theory: 0.67)\")" + ] + }, + { + "cell_type": "markdown", + "id": "88b44b25", + "metadata": {}, + "source": [ + "## **VI — Figure 1b: Random Cost**\n", + "\n", + "The paper compares geometric and random cost settings (Fig. 1). In the\n", + "geometric case, the multiscale structure of the problem means annealing\n", + "can exploit warm-starting effectively. In the random case, this structure\n", + "is absent and the benefit of annealing is smaller — though Debiased\n", + "Annealed Sinkhorn still approaches the Pareto front." + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "89ae8144", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "costs_ann_rnd = np.maximum(\n", + " np.array(run_annealed_sinkhorn(C_rnd, p_rnd, q_rnd, eps_poly_half[:T])) - OT_rnd, 1e-10)\n", + "costs_deb_rnd = np.maximum(\n", + " np.array(run_debiased_annealed_sinkhorn(C_rnd, p_rnd, q_rnd, eps_poly_23[:T])) - OT_rnd, 1e-10)\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "plot_fig1(ax, pareto_rnd, front_rnd, costs_ann_rnd, costs_deb_rnd,\n", + " r'Fig. 1b: Unstructured cost ($c_{ij} \\overset{\\rm iid}{\\sim} \\mathcal{N}(0,1)$)')\n", + "plt.tight_layout(); plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "126e6d1e", + "metadata": {}, + "source": [ + "## **VI bis — Figure 3a: Piecewise Constant Schedules**\n", + "\n", + "A natural alternative to Debiased Annealed Sinkhorn for reducing the\n", + "relaxation error is to use a **piecewise constant schedule**: hold β_t\n", + "constant for a while (plateau), letting the relaxation error decay, then\n", + "jump to the next temperature.\n", + "\n", + "Following App. A of the paper, we use the base schedule\n", + "β̄_t = β₀(1+t)^κ but only update β_t = β̄_t at times t = 16k², k ∈ ℕ,\n", + "giving plateaus of increasing length 16, 64, 144, 256, …\n", + "\n", + "The paper's prediction: this technique reduces the error *at the end of\n", + "each plateau*, but the peaks at each temperature jump still follow\n", + "Θ(t^{κ−1}), so the long-run rate remains O(t^{−1/2}) — it cannot beat\n", + "Debiased Annealed Sinkhorn." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "5e9bd2f4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observation: piecewise constant schedules improve at each plateau end,\n", + "but the envelope of peaks still follows O(t^{-1/2}) — same asymptotic\n", + "rate as continuous polynomial. Debiased Annealed Sinkhorn outperforms both.\n" + ] + } + ], + "source": [ + "def make_piecewise_schedule(beta_0, kappa, T):\n", + " \"\"\"\n", + " Piecewise constant annealing schedule (App. A).\n", + " Base schedule: beta_bar_t = beta_0*(1+t)^kappa.\n", + " Update only at times t = 16*k^2 (k=1,2,...), holding constant otherwise.\n", + " Plateau lengths: 16, 64-16=48, 144-64=80, 256-144=112, ...\n", + " \"\"\"\n", + " iters = np.arange(1, T + 1)\n", + " base_betas = beta_0 * (1 + iters) ** kappa\n", + "\n", + " update_times = set()\n", + " k = 1\n", + " while 16 * k**2 <= T:\n", + " update_times.add(16 * k**2)\n", + " k += 1\n", + "\n", + " betas_pc = np.zeros(T)\n", + " current = beta_0\n", + " for t in range(1, T + 1):\n", + " if t in update_times:\n", + " current = float(base_betas[t - 1])\n", + " betas_pc[t - 1] = current\n", + "\n", + " return jnp.array(1.0 / betas_pc) # return epsilons\n", + "\n", + "\n", + "iters_f3 = np.arange(1, T + 1)\n", + "kappa_list = [0.5, 0.75]\n", + "colors = {0.5: 'royalblue', 0.75: 'firebrick'}\n", + "\n", + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "\n", + "for kappa in kappa_list:\n", + " col = colors[kappa]\n", + "\n", + " # Continuous polynomial\n", + " eps_poly = eps_0 / (1 + jnp.arange(1, T + 1, dtype=float)) ** kappa\n", + " costs_poly = np.maximum(\n", + " np.array(run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_poly)) - OT_geo, 1e-10)\n", + "\n", + " # Piecewise constant\n", + " eps_pc = make_piecewise_schedule(beta_0, kappa, T)\n", + " costs_pc = np.maximum(\n", + " np.array(run_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_pc)) - OT_geo, 1e-10)\n", + "\n", + " ax.loglog(iters_f3, costs_poly, '-', color=col, lw=1.5, alpha=0.6,\n", + " label=f'Polynomial κ={kappa}')\n", + " ax.loglog(iters_f3, costs_pc, '--', color=col, lw=1.5,\n", + " label=f'Piecewise cst. κ={kappa}')\n", + "\n", + "# Debiased κ=2/3 as reference\n", + "costs_deb_ref = np.maximum(\n", + " np.array(run_debiased_annealed_sinkhorn(C_geo, p_geo, q_geo, eps_poly_23)) - OT_geo, 1e-10)\n", + "ax.loglog(iters_f3, costs_deb_ref, 'k-', lw=2.5,\n", + " label='Debiased Annealed κ=2/3 (reference)')\n", + "\n", + "# Slope references\n", + "t_s = iters_f3[100:]\n", + "ax.loglog(t_s, 0.5 * t_s ** (-0.5), 'k:', lw=1.2, label=r'$O(t^{-1/2})$')\n", + "\n", + "# Mark plateau boundaries\n", + "k = 1\n", + "while 16 * k**2 <= T:\n", + " ax.axvline(16 * k**2, color='gray', lw=0.5, alpha=0.4)\n", + " k += 1\n", + "\n", + "ax.set_xlabel('Iteration t')\n", + "ax.set_ylabel(r'$\\langle C,\\bar\\pi_t\\rangle - \\mathrm{OT}(p,q)$')\n", + "ax.set_title('Fig. 3a: Piecewise Constant vs. Polynomial Schedules\\n'\n", + " 'Vertical lines = plateau boundaries (t = 16k²)\\n'\n", + " 'Geometric cost, β₀=10')\n", + "ax.legend(fontsize=9)\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"Observation: piecewise constant schedules improve at each plateau end,\")\n", + "print(\"but the envelope of peaks still follows O(t^{-1/2}) — same asymptotic\")\n", + "print(\"rate as continuous polynomial. Debiased Annealed Sinkhorn outperforms both.\")" + ] + }, + { + "cell_type": "markdown", + "id": "911336c8", + "metadata": {}, + "source": [ + "## **VII — Conclusion**\n", + "\n", + "This notebook reproduces the main results of Chizat (2024):\n", + "\n", + "| Algorithm | Optimal schedule | Predicted rate | Observed |\n", + "|---|---|---|---|\n", + "| Annealed Sinkhorn | κ = 1/2 | O(t⁻¹/²) | ✓ Fig. 2a |\n", + "| Debiased Annealed Sinkhorn | κ = 2/3 | O(t⁻²/³) | ✓ Fig. 2a |\n", + "\n", + "**Three key takeaways:**\n", + "\n", + "1. **OTT-JAX's `Epsilon` scheduler (exponential) is theoretically suboptimal.**\n", + " It violates α_t → 0 (Theorem 2.1) and accumulates relaxation error that\n", + " cannot be traded off against the entropic error. The convergence condition\n", + " requires β_t → +∞ *and* β_t − β_{t-1} → 0.\n", + "\n", + "2. **The O(t⁻¹/²) bottleneck is a universal limitation of Annealed Sinkhorn.**\n", + " No concave schedule can achieve a better rate (Theorem 3.2). The optimal\n", + " schedule is β_t = Θ(√t), verified empirically in Fig. 2a.\n", + "\n", + "3. **Debiased Annealed Sinkhorn (Algorithm 3) breaks this ceiling.** With\n", + " negligible extra cost (one elementwise multiply per iteration), it cancels\n", + " the first-order relaxation error, unlocks κ = 2/3 and O(t⁻²/³), and\n", + " approaches or beats the entire Pareto front in a single run (Fig. 1).\n", + "\n", + "**Connection to OTT-JAX.** A natural extension of this work would be to\n", + "integrate polynomial schedules and the debiasing correction natively into\n", + "OTT-JAX's `Epsilon` class and `Sinkhorn` solver, making them available to\n", + "all users of the toolbox.\n", + "\n", + "### References\n", + "- Chizat, L. (2024). *Annealed Sinkhorn for Optimal Transport.* arXiv:2408.11620.\n", + "- Altschuler, J., Niles-Weed, J., Rigollet, P. (2017). *Near-linear time\n", + " approximation algorithms for optimal transport via Sinkhorn iteration.* NeurIPS.\n", + "- Cuturi, M. et al. (2022). *OTT-JAX: A JAX Toolbox for All Things Wasserstein.*\n", + " arXiv:2201.12324." + ] + } + ], + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}