diff --git a/README.md b/README.md
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--- a/README.md
+++ b/README.md
@@ -76,6 +76,8 @@ making it easy to build end-to-end differentiable functions involving both learn
### Mesh
+Meshes are new in ΦFlow 3.0. We are working on the demos!
+
@@ -99,20 +101,20 @@ making it easy to build end-to-end differentiable functions involving both learn
-
-
+
+
-
+
SPH
FLIP
Streamlines
- Heightmaps
+ Terrain
-
+
@@ -130,13 +132,13 @@ making it easy to build end-to-end differentiable functions involving both learn
-
-
+
+
Gradient Descent
Optimize throw
- Learn to Throw
+ Learning to throw
PIV
@@ -146,14 +148,12 @@ making it easy to build end-to-end differentiable functions involving both learn
Close packing
- Learn Φ(x,y)
+ Learning Φ(x,y)
Differentiable pressure
-[Learning to Throw](https://tum-pbs.github.io/PhiFlow/Learn_to_Throw_Tutorial.html)
-
## Installation
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diff --git a/examples/optim/Learn_Throw.ipynb b/examples/optim/Learn_Throw.ipynb
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--- /dev/null
+++ b/examples/optim/Learn_Throw.ipynb
@@ -0,0 +1,290 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Learning to Throw\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/Learn_Throw.ipynb)\n",
+ "\n",
+ "This example trains neural networks to solve inverse throwing problems.\n",
+ "Check out the corresponding [optimization](https://tum-pbs.github.io/PhiFlow/examples/optim/Optimize_Throw.html) example which finds the optimal trajectory using gradient descent."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.jax or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We define the "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def simulate_hit(pos, height, vel, angle, gravity=1.):\n",
+ " vel_x, vel_y = math.cos(angle) * vel, math.sin(angle) * vel\n",
+ " height = math.maximum(height, .01)\n",
+ " hit_time = (vel_y + math.sqrt(vel_y**2 + 2 * gravity * height)) / gravity\n",
+ " return pos + vel_x * hit_time, hit_time, height, vel_x, vel_y\n",
+ "\n",
+ "def sample_trajectory(pos, height, vel, angle, gravity=1., steps=spatial(time=100)):\n",
+ " _, hit_time, height, vel_x, vel_y = simulate_hit(pos, height, vel, angle, gravity)\n",
+ " t = math.linspace(0, hit_time, steps)\n",
+ " return vec(x=pos + vel_x * t, y=height + vel_y * t - gravity / 2 * t ** 2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we generate a training set and test by sampling random values."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def generate_data(shape):\n",
+ " pos = math.random_normal(shape)\n",
+ " height = math.random_uniform(shape) + .5\n",
+ " vel = math.random_uniform(shape)\n",
+ " angle = math.random_uniform(shape) * PI/2\n",
+ " return math.stack(dict(pos=pos, height=height, vel=vel, angle=angle), channel('vector'))\n",
+ "\n",
+ "x_train = generate_data(batch(examples=1000))\n",
+ "x_test = generate_data(batch(examples=1000))\n",
+ "y_train = simulate_hit(*x_train.vector)[0]\n",
+ "y_test = simulate_hit(*x_test.vector)[0]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We set up two networks with identical initialization, one for supervised training and one for diff.phys. training."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "math.seed(0)\n",
+ "net_sup = dense_net(1, 4, [32, 64, 32])\n",
+ "math.seed(0)\n",
+ "net_dp = dense_net(1, 4, [32, 64, 32])\n",
+ "math.assert_close(get_parameters(net_sup)['linear1.weight'], get_parameters(net_dp)['linear1.weight'])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Supervised Training\n",
+ "Now we can train the network. We feed the desired hit position into the network and predict a possible initial state.\n",
+ "For supervised training, we compare the network prediction to the ground truth from our training set."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Initial supervised loss (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m1.620 ± 0.860\u001b[0m \u001b[37m(3e-01...7e+00)\u001b[0m\n",
+ "Final supervised loss (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m0.282 ± 0.185\u001b[0m \u001b[37m(1e-02...1e+00)\u001b[0m\n"
+ ]
+ }
+ ],
+ "source": [
+ "opt_sup = adam(net_sup)\n",
+ "\n",
+ "def supervised_loss(x, y, net=net_sup):\n",
+ " prediction = math.native_call(net, y)\n",
+ " return math.l2_loss(prediction - x)\n",
+ "\n",
+ "print(f\"Initial supervised loss (test set): {supervised_loss(x_test, y_test)}\")\n",
+ "\n",
+ "for i in range(200):\n",
+ " update_weights(net_sup, opt_sup, supervised_loss, x_train, y_train)\n",
+ "\n",
+ "print(f\"Final supervised loss (test set): {supervised_loss(x_test, y_test)}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "While there is progress, the final loss is not great.\n",
+ "Feel free to run more iterations but there is a deeper problem at work here.\n",
+ "Before we get into that, let's train a the network again but with a differentiable physics loss function."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## End-to-end Training with Differentiable Physics\n",
+ "For the differentiable physics loss, we simulate the trajectory given the initial conditions predicted by the network. Then we can measure how close to the desired location the network got."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Initial supervised loss (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m1.620 ± 0.860\u001b[0m \u001b[37m(3e-01...7e+00)\u001b[0m\n",
+ "Final supervised loss (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m1.154 ± 0.684\u001b[0m \u001b[37m(7e-02...4e+00)\u001b[0m\n"
+ ]
+ }
+ ],
+ "source": [
+ "opt_dp = adam(net_dp)\n",
+ "\n",
+ "def physics_loss(y, net=net_dp):\n",
+ " prediction = math.native_call(net, y)\n",
+ " y_sim = simulate_hit(*prediction.vector)[0]\n",
+ " return math.l2_loss(y_sim - y)\n",
+ "\n",
+ "print(f\"Initial supervised loss (test set): {supervised_loss(x_test, y_test, net=net_dp)}\")\n",
+ "\n",
+ "for i in range(200):\n",
+ " update_weights(net_dp, opt_dp, physics_loss, y_train)\n",
+ "\n",
+ "print(f\"Final supervised loss (test set): {supervised_loss(x_test, y_test, net=net_dp)}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This looks even worse! The differentiable physics network seems to stray even further from the ground truth.\n",
+ "Well, we're not trying to match the ground truth, though. Let's instead measure how close to the desired location the network threw the object."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Supervised network (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m0.004 ± 0.003\u001b[0m \u001b[37m(2e-03...4e-02)\u001b[0m\n",
+ "Diff.Phys. network (test set): \u001b[92m(examplesᵇ=1000)\u001b[0m \u001b[94m3.16e-05 ± 7.9e-05\u001b[0m \u001b[37m(1e-11...2e-03)\u001b[0m\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(f\"Supervised network (test set): {physics_loss(y_test, net=net_sup)}\")\n",
+ "print(f\"Diff.Phys. network (test set): {physics_loss(y_test, net=net_dp)}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This is much more promissing. The diff.phys. network seems to hit the desired location very accurately considering it was only trained for 100 iterations. With more training steps, this loss will go down even further, unlike the supervised network.\n",
+ "\n",
+ "So what is going on here? Why does the supervised network perform so poorly?\n",
+ "The answer lies in the problem itself. The task is multi-modal, i.e. there are many initial states that will hit the same target.\n",
+ "The network only gets the target position and must decide on a single initial state. With supervised training, there is no way to know which ground truth solution occurs in the test set. The best the network can do is average nearby solutions from the training set. But since the problem is non-linear, this will give only a rough guess.\n",
+ "\n",
+ "The diff.phys. network completely ignores the ground truth solutions which are not even passed to the `physics_loss` function. Instead, it learns to hit the desired spot, which is exactly what we want.\n",
+ "\n",
+ "We can visualize the difference by looking at a couple of trajectories."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 33,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "predictions = math.stack({\n",
+ " \"Ground Truth\": x_test.examples[:4],\n",
+ " \"Supervised\": math.native_call(net_sup, y_test.examples[:4]),\n",
+ " \"Diff.Phys\": math.native_call(net_dp, y_test.examples[:4]),\n",
+ "}, channel('curves'))\n",
+ "vis.plot(sample_trajectory(*predictions.vector), size=(16, 4))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can see that the differentiable physics network matches the hit point much more precisely than the supervised network, as expected from the loss values."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/optim/PIV.ipynb b/examples/optim/PIV.ipynb
new file mode 100644
index 000000000..92ce275d5
--- /dev/null
+++ b/examples/optim/PIV.ipynb
@@ -0,0 +1,693 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# PIV\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/PIV.ipynb)\n",
+ "\n",
+ "This example performs simulates the movement of particles in a fluid and then performs particle image velocimitry (PIV) to reconstruct the fluid field."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We begin by constructing a divergence-free velocity field and scattering marker particles across the domain.\n",
+ "Doing this for various numbers of markers (128 to 4096) will allow us to examine the scaling behavior later."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 46,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 46,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "v0 = StaggeredGrid(Noise(batch(seed=2)), x=64, y=64, bounds=Box(x=20, y=20))\n",
+ "v0, _ = fluid.make_incompressible(v0)\n",
+ "marker_count = vec(batch('count'), 128, 256, 512, 1024, 2048, 4096)\n",
+ "initial_markers = v0.bounds.sample_uniform(instance(markers=marker_count))\n",
+ "plot([Sphere(initial_markers.count['128'], radius=.4), v0], overlay='list', color=['orange', None], size=(5, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we get the marker positions after a small time $\\Delta t = 0.1s$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def simulate(v): # v is the guess for the velocity\n",
+ " return advect.points(initial_markers, v, dt=.1, integrator=advect.rk4)\n",
+ "\n",
+ "final_markers = simulate(v0)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "From the marker positionos, we now reconstruct the velocity field.\n",
+ "We first do a rough fit at quarter resolution before performing a full-resolution residual fit."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ ":2: RuntimeWarning: Function returned objective value with dims (countᵇ=6:128..4096, seedᵇ=2) but initial guess was missing (countᵇ=6:128..4096). Trying again with expanded initial guess.\n",
+ " fit1 = minimize(lambda x: math.l2_loss(final_markers - simulate(x)), Solve('L-BFGS-B', x0=0 * v0.downsample(4))).at(v0)\n",
+ ":3: RuntimeWarning: Function returned objective value with dims (countᵇ=6:128..4096, seedᵇ=2) but initial guess was missing (countᵇ=6:128..4096). Trying again with expanded initial guess.\n",
+ " fit2 = minimize(lambda x: math.l2_loss(final_markers - simulate(x+fit1)), Solve('L-BFGS-B', x0=0 * v0))\n"
+ ]
+ }
+ ],
+ "source": [
+ "with math.SolveTape(record_trajectories=True) as solves:\n",
+ " fit1 = minimize(lambda x: math.l2_loss(final_markers - simulate(x)), Solve('L-BFGS-B', x0=0 * v0.downsample(4))).at(v0)\n",
+ " fit2 = minimize(lambda x: math.l2_loss(final_markers - simulate(x+fit1)), Solve('L-BFGS-B', x0=0 * v0))\n",
+ "v_estimate = fit1 + fit2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's visualize the vorticity residual."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 50,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot((v_estimate - v0).seed[0].curl(), row_dims='seed', size=(10, 2.5))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "It may be difficult to see, but the error decreases with increasing particle count. Let's plot this quantitatively."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phi\\vis\\_vis_base.py:516: UserWarning: bounds argument is deprecated since 2.5 and will be ignored.\n",
+ " return PointCloud(equal_spacing, values=obj, bounds=Box(lower, upper))\n",
+ "c:\\phd\\phiflow2\\phi\\vis\\_matplotlib\\_matplotlib_plots.py:286: UserWarning: Attempted to set non-positive bottom ylim on a log-scaled axis.\n",
+ "Invalid limit will be ignored.\n",
+ " subplot.set_ylim((0, float(math.finite_max(data.values, shape)) * 1.1))\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 25,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "v_mse = math.l2_loss(v_estimate - v0).count.as_instance()\n",
+ "plot(math.mean(v_mse, 'seed'), err=math.std(v_mse, 'seed'), title=\"Velocity MSE\", log_dims='_', size=(4, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Having recorded the optimization trajectories earlier, we can now see how the error decreases during the optimization."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 37,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot(solves[0].residual.count.as_channel().trajectory.as_spatial(), size=(5, 3), log_dims='_')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 43,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "v_trj = solves[0].x.at(v0)\n",
+ "plot((v_trj - v0).count['4096'].curl(), size=(5, 3), animate='trajectory')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/Billiards.ipynb b/examples/particles/Billiards.ipynb
new file mode 100644
index 000000000..dbbbe914f
--- /dev/null
+++ b/examples/particles/Billiards.ipynb
@@ -0,0 +1,806 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Billiards\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/particles/Billiards.ipynb)\n",
+ "\n",
+ "This example simulates Billiard balls and collisions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's create a cue ball and the typical billiards triangle!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def create_balls(cue_pos=vec(x=.1, y=.5), billiard_layers=4, radius=.03):\n",
+ " coords = [cue_pos]\n",
+ " for i in range(billiard_layers):\n",
+ " for j in range(i + 1):\n",
+ " coords.append(vec(x=i * 2 * radius + 0.5, y=j * 2 * radius + 0.5 - i * radius * 0.7))\n",
+ " return Sphere(stack(coords, instance('ball')), radius=radius)\n",
+ "\n",
+ "balls = create_balls()\n",
+ "plot(balls, color=math.range(instance(balls)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we define the dynamics consisting of linear movement and collisions.\n",
+ "We store the velocities in the `values` of the field.\n",
+ "The impact dynamics depend on the relative distances and velocities of the balls, which we get using `math.pairwise_differences`.\n",
+ "Summing the neighbor contributions then amounts to summing over the dual dimension."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def physics_step(v: PointCloud, dt: float, elasticity=0.8):\n",
+ " v_next = advect.points(v, v, dt)\n",
+ " x_diff = math.pairwise_differences(v_next.points)\n",
+ " dist = math.vec_length(x_diff, eps=1e-4) # eps to avoid NaN during backprop of sqrt\n",
+ " rel_v = -math.pairwise_differences(v.values)\n",
+ " dist_dir = -math.safe_div(x_diff, dist)\n",
+ " projected_v = dist_dir.vector * rel_v.vector\n",
+ " has_impact = (projected_v < 0) & (dist < 2 * v.geometry.radius)\n",
+ " impulse = -(1 + elasticity) * .5 * projected_v * dist_dir\n",
+ " radius_sum = v.geometry.radius + rename_dims(v.geometry.radius, instance, dual)\n",
+ " impact_time = math.safe_div(dist - radius_sum, projected_v)\n",
+ " x_inc_contrib = math.sum(math.where(has_impact, math.minimum(impact_time - dt, 0) * impulse, 0), dual)\n",
+ " v = v.with_elements(v.geometry.shifted(x_inc_contrib))\n",
+ " v += math.sum(math.where(has_impact, impulse, 0), dual)\n",
+ " return advect.points(v, v, dt)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now, let's give the cue ball a starting velocity and run the simulation!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "v0 = math.scatter(math.zeros(balls.shape), indices=vec(ball=0), values=vec(x=3, y=0))\n",
+ "initial_state = Field(balls, v0, 0)\n",
+ "trj = iterate(physics_step, batch(t=60), initial_state, dt=0.003, substeps=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 48,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(trj.geometry, animate='t', color=math.range(instance(balls)))"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/FLIP.ipynb b/examples/particles/FLIP.ipynb
new file mode 100644
index 000000000..4c6d9dbf8
--- /dev/null
+++ b/examples/particles/FLIP.ipynb
@@ -0,0 +1,5757 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# FLIP\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/FLIP.ipynb)\n",
+ "\n",
+ "This example simulates a liquid using the fluid implicit particle (FLIP) method."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from phi.field._point_cloud import distribute_points\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We begin by defining the domain, obstacles, and initial fluid particles."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 103,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 103,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "domain = Box(x=64, y=64)\n",
+ "obstacle = Box(x=(1, 25), y=(30, 33)).rotated(-20)\n",
+ "initial_particles = distribute_points(union(Box(x=(15, 30), y=(50, 60)), Box(x=None, y=(-INF, 5))), x=64, y=64) * (0, 0)\n",
+ "plot(initial_particles.geometry, obstacle, overlay='args')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In each simulation step, we find the velocity field and occupancy mask on a regular grid.\n",
+ "This allows us to perform a grid-based pressure solve.\n",
+ "The pressure forces can then be mapped back to the particles before updating the positions according to the velocity and boundaries."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 98,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def step(particles: Field, pressure=None, dt=.1, gravity=vec(x=0, y=-9.81)):\n",
+ " # --- Grid Operations ---\n",
+ " grid_v = prev_grid_v = field.finite_fill(particles.at(StaggeredGrid(0, 0, domain, x=64, y=64), scatter=True, outside_handling='clamp'))\n",
+ " occupied = resample(field.mask(particles), CenteredGrid(0, grid_v.extrapolation.spatial_gradient(), grid_v.bounds, grid_v.resolution), scatter=True, outside_handling='clamp')\n",
+ " grid_v, pressure = fluid.make_incompressible(grid_v + gravity * dt, [obstacle], active=occupied)\n",
+ " # --- Particle Operations ---\n",
+ " particles += resample(grid_v - prev_grid_v, to=particles) # FLIP update\n",
+ " # particles = resample(grid_v, particles) # PIC update\n",
+ " particles = advect.points(particles, grid_v * resample(~obstacle, to=grid_v), dt, advect.finite_rk4)\n",
+ " particles = fluid.boundary_push(particles, [obstacle, ~domain], separation=.5)\n",
+ " return particles, pressure"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's run the simulation!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 101,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "part_trj, p_trj = iterate(step, batch(time=100), initial_particles, None, substeps=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 102,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 102,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(resample(p_trj, to=part_trj.time[:-1]), obstacle, overlay='args', animate='time')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/SPH.ipynb b/examples/particles/SPH.ipynb
new file mode 100644
index 000000000..ae3e26866
--- /dev/null
+++ b/examples/particles/SPH.ipynb
@@ -0,0 +1,1783 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# SPH\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/particles/SPH.ipynb)\n",
+ "\n",
+ "This example runs a simple SPH simulation based on Müller et al., Particle-based fluid simulation for interactive applications, 2003.\n",
+ "The implementation is identical to the [corresponding example](https://github.com/NVIDIA/warp/blob/3ed2ceab824b65486c5204d2a7381d37b79fc314/warp/examples/core/example_sph.py) from Warp."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "from phi.physics import sph\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We begin by defining our domain and fluid settings. Particles spawn in the lower left corner to simulate a dam break."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "domain = Box(x=80, y=80, z=80)\n",
+ "smoothing_length = 0.8 # copied from warp, we would usually set desired_neighbors instead.\n",
+ "initial_positions = pack_dims(math.meshgrid(x=25, y=100, z=25), spatial, instance('particles')) * smoothing_length\n",
+ "initial_positions += 0.001 * smoothing_length * math.random_normal(initial_positions.shape)\n",
+ "particles = Sphere(initial_positions, volume=smoothing_length**3, radius_variable=False)\n",
+ "desired_neighbors = sph.expected_neighbors(particles.volume, smoothing_length, 3)\n",
+ "\n",
+ "particle_mass = 0.01 * math.mean(particles.volume)\n",
+ "dt = 0.01 * smoothing_length\n",
+ "dynamic_visc = 0.025\n",
+ "damping_coef = -0.95\n",
+ "gravity = vec(x=0, y=0, z=-0.1)\n",
+ "pressure_normalization = -(45.0 * particle_mass) / (PI * smoothing_length**6)\n",
+ "viscous_normalization = (45.0 * dynamic_visc * particle_mass) / (PI * smoothing_length**6)\n",
+ "\n",
+ "plot([domain, initial_positions], overlay='list', alpha=[.1, .4], size=(3, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we define the SPH update step.\n",
+ "The `sph.neighbor_graph` function builds a sparse connectivity matrix and evaluates the specified kernel `poly6`.\n",
+ "The neighbors of each particle are listed along the corresponding dual dimension."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def sph_step(v: Field, dt=dt, isotropic_exp=20., base_density=1.):\n",
+ " graph = sph.neighbor_graph(v.geometry, 'poly6', desired_neighbors=desired_neighbors, compute='kernel', domain=domain)\n",
+ " # --- compute density and pressure ---\n",
+ " rho = math.sum(graph.edges['kernel'], dual) * particle_mass # this includes the density contribution from self\n",
+ " pressure = isotropic_exp * (rho - base_density)\n",
+ " nb_rho = rename_dims(rho, instance, dual)\n",
+ " nb_pressure = rename_dims(pressure, instance, dual)\n",
+ " distance_gaps = smoothing_length - graph.distances\n",
+ " # --- pressure force ---\n",
+ " avg_pressure = (graph.connectivity * pressure + nb_pressure) / (2 * nb_rho)\n",
+ " pressure_force = -graph.unit_deltas * avg_pressure * distance_gaps ** 2\n",
+ " # --- viscosity force ---\n",
+ " dv = math.pairwise_differences(v.values, format=graph.edges)\n",
+ " viscous_force = dv / nb_rho * distance_gaps\n",
+ " # --- sum forces, integrate ---\n",
+ " force = math.sum(pressure_normalization * pressure_force + viscous_normalization * viscous_force, dual)\n",
+ " a = force / rho + gravity\n",
+ " v += a * dt # kick\n",
+ " return v.shifted(dt * v.values)\n",
+ "\n",
+ "@jit_compile\n",
+ "def apply_bounds(v: Field, damping_coef=-0.95) -> Field:\n",
+ " clipped = math.clip(v.points, domain.lower, domain.upper)\n",
+ " v = field.where(clipped == v.points, v, v * damping_coef)\n",
+ " return v.shifted_to(clipped)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's run the simulation!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "b9eb5ae6e53040e4b06d07ad2e5489a3",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ " 0%| | 0/480 [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "initial_state = Field(particles, vec(x=0, y=0, z=0), 0)\n",
+ "trj = iterate(lambda v: apply_bounds(sph_step(v)), batch(t=480), initial_state, substeps=int(32 / smoothing_length), range=trange)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 26,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot([domain, trj.points.t[::3]], overlay='list', alpha=[.1, .3], animate='t', size=(5, 5), frame_time=50)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can also plot or animate 2D projections of the simulation.\n",
+ "This is much faster than plotting a 3D sphere for each particle with Matplotlib."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot(trj.geometry.t[150]['x,z'], overlay='list', size=(5, 5), frame_time=50)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/Terrain.ipynb b/examples/particles/Terrain.ipynb
new file mode 100644
index 000000000..d781a4785
--- /dev/null
+++ b/examples/particles/Terrain.ipynb
@@ -0,0 +1,1263 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Terrain\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/particles/Terrain.ipynb)\n",
+ "\n",
+ "This example simulates particles moving on the surface of a terrain defined by a heightmap."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange\n",
+ "from PIL import Image\n",
+ "# %matplotlib widget"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's import a terrain height map from an image using the `PIL` library.\n",
+ "Once loaded, we can construct a `Heightmap` which we can later query for collisions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 63,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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vBCt1NDg4SG9vb1Nf3zAMZmdnyWQyh7L0tPA2F5+bCbfbTU9PT8OgXb33wkkGzA7C20KQ+1Ev9ge1FuFYLMbi4mKDj/ZxtK4OIop6H4pSqYSqqgQCgWra6aNyj31YYRPDa8JBXUf1MwdCCNbW1lhbW3stqaNCocD4+Ditra3cvHnzyDIWLzPq0TTt0OmGt2nH8DIclG6pHzAzDONEq+j613nbcZAYYCKRYHt7m5mZGZxOZ1Xr6jgpuPrWWIBYLNbQJWXPULx52MTQZOzXqKm/qS1i0DSNyclJFEXhzp07TZ/m3d3dZXp6mgsXLlQloY+CFwVzSzIjk8kgSVJ1IvkkgfJtxf4Bs/pV9MLCQrV+cdi5AXh7UklHhdPpfC4FF4/HWV1dJZPJ4PF4TiQGaBgGiqI07KjtGYo3C5sYmghri6zr+oHbYVmWKRaL3L17l1OnTtHT09P015+fnycej3P79u1j9/EfVHzOZDKMj48zODjIhQsXMAyjIVBaA1b7J5Lfhh1DM17/oFV0LBZrmBt41aDdh5UY9sPtdtPd3U13d/eBsySWGGBLS8uhxAANw6im6uwZircDNjE0CS8z0wHzBt/a2iKZTPLxj38cn8/X1NcvFos8efKEUCjE7du3T/Rl2R/MrbmHK1eu4Pf7KZVKz03iWo5ua2trpNPpat/820AM0PwUjtPpfG7QzlJKtQbtrOBoEfTbcB2ajYNmSSwxwOnp6WqtxtpRHFSredWwnT1D8cHDJoYT4mWpIwvlcpnJycmqNWSzSUHXde7du8e5c+eqk7AngRXMDcNgenqaQqFQHbR7UXBzuVwNq0irkLu1tUWhUEDTtGra6aOomGoFR2tu4CBv6EKhcCLL1Q8DXiYGuL6+fqAY4MuI4aDjH2aGwpYXPxlsYjgBDqOImkwmmZycZGhoiLa2Nh4+fNjU119aWqJQKPCJT3yiaYQjSRKlUomxsTE6OjoYGRk5cvHaKuT6fD729vZoa2urtoYC1dX0R9HRrX7QbnBwsDpoNz8/z8LCAisrK2900O6DxEFigJZPtiUGaBgGDofjRK2x9gxFc2ETwzFxmNTRysoKm5ubXLt2DZ/Ph67rTRscs2w3PR4PwWCwKe2UFjKZDOvr61y/fv1Yxev9qFcCBfPc6y0vXS5XVTH1pE5mbyOsQvXu7i4dHR34fD4SicQbHbR7U9jvk10ul5mYmCCVSrG9vX1kMcD9sGcomgObGI6Iw5jpWDe7y+Xizp07DW14zSAGaxdy5swZOjs7GRsba8qXXQjB4uIi29vb9PT0NI0U9p/b/kGzFwnhtbS0NJXw3jSsRcR+ATyry6d+0M7aUX2UB+3AvBdcLhcDAwP4/f7nxABPagP7qhkK6/OwiMKeoTBhE8MRcJjUUSKRqAbtrq6uhsdOesMJIVhdXa2u5i2HtWYQjrUD8fl8nD17llQqdaLjHQX7dX0sIbyJiYlqTvqj2hYLz3f5HDRo97Li7VFxlJz+B4H686kXA4SDbWDrxQBPOkNhfafrW2PtGQqbGA6Nw6SOlpeX2dra4saNG023xbRmCBwOx3OzDyft/EmlUkxMTHD69Gm6urqIRqNNSzcc9dwOEsI7TFvshwGHWakfNGhnEeX6+npTBu3eph0DvJyoDrKBrRcDrG+NPU57dj1RWPfpwsICDoeDzs7OhhkKy9nu6wE2MbwCh0kdlUolJiYm8Hg8DamjZqHedvOg2YeT7Bgs9zarDgLNnT046RfpsG2xryvt0kwcJyBbnWyhUKg6aJdMJhsG7eqJ8jD33tu2Y9B1/VDncxBpZjKZBpn1+t3VccQAoeZuZxlWfT3OUNjE8BIcJXU0PDxMZ2dn08/BMut5mWzGcQK5ZRdqGMZzwn3Nnj1o5rEOaouNxWLVtEsoFHpr22KbsVJXVbWBKEul0oEGPS8r5L+NO4bj7HxkWW7YXRqGUe14qvcLt7q/DitOqev6gfWGr6cZCpsYXgBrNuFlqaOlpSV2dnZeS+qoPnC/yqznVVac+2FJcPf09BwoAd7sHcPrNOqxVpBWz7y1mq5vi31bhuxeR0B2Op10dnbS2dl56EG7t23H0KzzqRf7Axp2V5YYYD1RvOg1LWLYj5fNUCwuLvJDP/RD/MzP/MyJ38fbAJsY9sFKHU1PTzM8PPzC1JFVqB0dHW36l+xltpsH4SAJixchGo0yMzPzUgnutyWQHhX7A4PVFru+vk42myWdTn+k22IPGrSrT7WUy2XC4XDVwe1twuv4LPbvrqz7ob5NuL411jqHFxHDQedspZez2exHqjHCJoY61KeOdnZ2OHv27HPPsaZZz549W223bCa2trZYWFh4oe3mQThMjUEIwdzcHMlk8pUS3K/agTRLqfV1w2qLBXOX1NnZ+UbbYj/oFE79FLI1aJdKpdja2iKRSHD//v1qx9ebHLT7oO6Pg/w4LPXcTCZT1bsqFotHvhbpdLrpCslvEjYxVPAqH2arxz8ajXLz5s1jFzqt1f3+G++wtpsvOubLvlylUonx8XFCoRC3bt06VHB621aUzcCbbot907l9q1Bt5cLPnDlTHbSbm5vD4XCcSE77w4aDxADj8TiZTIYnT55U03CHMW7KZrM2MXyUcBgfZiuwBgKBE6eOrNV9/THy+TyPHz8+lO3my455EKzi+FF0lI5as3gZ3ta01P622P3dPq+jLfZNE4MF6/5704N2Ft6Ga1Kfhtve3ubKlSvV62E1Nlg7zIPmSTKZDIFA4A2dffPxdU0MB5np7EcsFuPZs2dNE6jbH8StfOfFixerufGj4qDgaw3DbWxsHLk4/rJgbhgG0WgUv99/6GDxNhLDfuzPRx/UFntS28+3hRhedB77V9C5XI5YLMbs7CyFQuGlgfGjBF3Xq45y9WKA1g5zY2OjKoxoCQE2Y8cgSdISkAZ0QBNC3JYkqQX4PHAKWAL+tBAifqIXOgS+LomhXhEVXpw6mp+fZ29vj1u3bh1KV/4wsIjhuLabLzpmffC1PKRlWWZ0dPRYwmQHBfNSqcTjx49xuVxsbGxQLBYb0i8HdU69DYHwOPgwt8W+CofpApIkCZ/Ph8/nO3DQrlmpt7d10bD/vq2fJwGqYoALCwv85b/8lymVSgwPD3PlyhU++clPnmSH9U1CiN26f/9N4HeEEP9YkqS/Wfn33zjuwQ+LrztiOEzqqFgsksvl0HWd27dvN7UoJ8sy+Xz+2LabB6G+K8nqaOrv76evr+/Yx9v/hU0mk0xMTHDu3DmCwWD1Na30y9LSErIsV4u59emXt/XLf1i8rC12eXm5KhL4KrXYt33H8DLsH7TbP5F+nEE7oLpb/7ChXgzwa1/7Gj/wAz8AwK/92q/xvd/7vXzmM5/hh37oh5rxUn8M+MbKzz8F/D42MTQXh0kd7e3tMTU1hcfj4fTp003v1LA0iS5dulRNW5wU1i7kOB1NB2E/MayurrK2tsaNGzfweDwNujL17aGWq1l9+sXv96Pr+sne4FuGF7XFvkot9m0hhmYE4/0T6ccZtLPO5W2aqTguSqUSn/3sZ/mO7/iO6r+PAQH8liRJAvgxIcS/BjqFEJuVx7eA5k/RHoCvC2LYnzo66East8W8desWT548aZpEdv3xs9ksV69ebRopWNjY2Kimjk6a2rB2A/uH7Oo9eQ8KcvtdzbLZLNvb26RSKcbGxqrpF6sz5qOCw6rFWpavbxpCiKYH4/pBO6hdg8XFxWr+3frs69Oyx516ftuwv8ZwzNTwp4QQ65IkdQC/LUnSVP2DQghRIY3Xjo88MVgyuy/yYQYzdTQ+Pk44HK7aYiqK0rSVrtXVFAwGaW9vP/Ro/mFQKBRYXV3F7/dz48aNpgQeSZLQdZ2xsbHnpqOta/iq9JCVflEUhVwux8WLFxumUK2un9bW1tfeGvlBp7Je1BabzWZ5+PDhG1eL/SBW6fuvgTVoNzU1RalUqi4S3G73W7VjOO5isBldSUKI9cr/70iS9MvAHWBbkqRuIcSmJEndwM6JXuSQ+EgTw6sUUQF2d3eZnp7m/PnzVaN3aJ53gjUQZ3U1WSvwZsDqmGpvbz+WVv2LEI/HSSaT3L59+9idUhYsEtlv0GLp7q+urlaHg6zHj6OS+baivi12b2+PK1euVIniTanFvulBu/oazeLiIsVikfn5+WqN5k3uIA479bwf2Wz2RMQgSZIPkIUQ6crPnwX+PvArwH8H/OPK//+nY7/IEfCRJIbD+DAbhsH8/DyJRILbt28/F4xOSgz1Wkr1A3HNIJz6Y9+6dYu9vb1qmqwZx93e3q4O97wu1Ovu75du0DSt6avqtyWF80G0xb4KbzqvX1+jaW9vZ3V1lWAwSDQaZW5uDlVVq4uED3rQ7riprSbsGDqBX668VxX4WSHEb0iSNAb8giRJfxFYBv70SV7ksPjIEcNhUkeFQoHx8XFaWlqqqaP9OEkqqd52c/9A3EmJQdM0njx5gtvtrh67GUNklt+Dy+Xi5s2bTfOmrj+3bKHE44VNPn5hoOGaHyTdsN+D4U0FimbioJX6m2iLfVuK4EDV77l+0M4iS2s36fV6G8jydZ67pmlvhBiEEAvAtQN+vwd8y7EPfEx8pIjhMKkjS0RuZGTkpQVgWZaPRQyW7aZlenPQcY9LDJYvw9DQEN3d3U05Jpg39fj4eNXvQdf1pk8+f+fnfon5aBqQGAwq/Mb/+Wf4ez/+n/ie7/omOiKhhr95kQeDNZFbP2j1UUs7NaMt9lV4m1pED9q97CdLa9DOMud5nYN2x90xFIvFps06vQ34SBDDYVNHc3NzpFKpA1NH+6EoypGCbb3tZr3pzX4cN4hvbGywtLR0oC/DSXYM29vbzM/Pc+XKleqKp5kyFkvRJP/jz4yTLgOYwWg5pfNdn/t5Hjx4yE48zY/+H3+Oe1OLDHS2PEcSACu7GRIZg9FLl6ppp729vWrayQqWoVDore9wOUpAPm5b7KvwOrqSjotXpbWOMmh3FM+FF+G4NQbrXD8q+NATw2HMdKzUUWtr66FF5I4SwDVNY3JyEkVRnrPd3I+jSGRDTVyvVCq90JfhONpGQghmZ2dJp9PPtbg2gxj+9s+9y7tT67SHvCQLZWSlMQ0yPr+O4vLwpYfTPF1c57v/7r+mrz3M7/3I87M7//g/fIVcsczP/fU/iWEY/K1///s828zwF7/5In/qUzdIJBLs7u4yPz+Pw+GoBstmFuTfBhy2LfZVarFvusZQj6Oey4sG7eLxeNVzwSLT4+yqjkMMH/YBzoPwoSaGo6SOLly4UO2IOQwOW2Ow0juDg4P09va+8vlHIRxrQrqzs/Ol4npHJZt6tdWDJq9PGky/8LVpfvHLEwhga2cXZBXqiEHLJhGShOILkUvu8Z3/+z9FAIube3zfv/oCn/ufvqvheOPLu+TLOle+50fRhEAzQPW38vd/9Rm/8WCRH/4fvo1z584B5iLAmsS2OkUsv96PGo6rFvs21RhOskKHFw/a7d9VRSKRQy0U7B2DiQ/lt8WStbBMuw8KyCfVIjpMALdsN+vTMIc57mEIx2qjPYy43lGIwZK2aLafxHI0yZ//J7+Cx+lgYTtZ/X2pkANhINwBFLcPYRigFZBkBUOA4g9DJmY2C7i8fP7uEqvxf8+/+94/SzKb5yd+6wHJfBkkCTBXf5IV5CWJuxtFPvP9v8T/9xt6+Yt/7Jtwu9309PRUzePT6TTLy8vs7u4Si8Ua0k5vy6q5GThILXZ/Ad9672/LoB00f/fyokE7a6HwokE7C8chhnK5/KHTy3oVPnTEUJ86elGQtVba7e3tx9YietmOwZoI1nX9lbab+yHL8ktbS4UQLCwsEIvFDlULsY55mO3s+vo6KysrXL9+/YU1kKMinS/y/b84xm/efUqpmDd/qTiQZAVRLoIwCcsopDGKGbxeL3m59sWTZAXhb8Gr5Sk5A0iyzNcW9rj0P/1zZAkKZR3D2hE63CAMFE9jHaKYjPIDP/mQn/iPX+Tdn/yHtWNXgmV7ezuhUIienh4SiUS1LdLpdH5kHd1UVaWtra06m1PfFru3t0cmk6FQKLzWttjDwDCM17qbO2jQLh6PPzdoZ3V9HYcYLInyjxI+VMSwP3WkqirFYrHhOc2QsYYXB3BLpK63t/dAv+TDHPdFq/tyucz4+Dh+v59bt24deiX1qt2NYRg8e/YMTdMYHR098RdRkiRSuQL/538Y44tPtzDyqRopAJJeRpYE5XKh8Q+FIJ8voioyWt35SrKC8ARxItAFGEBJ13E7VAS1LbpRyuP1BdD2XXO3lkZTnWxsR7k/OcutS88778HzwbI+R5/P5xty9B+1FWB9p8/U1BSRSIRisfhcW2wkEvlA024fZL2jvi26vuvL8qCwivKhUOhIBJFOpz9SXgzwISGG/Yqo1o1Uv6o3DIOZmRmy2eyJZaz3H9uCJVJ36dKlqvzuUfGiIG6leIaHh6vb4MPiZcXiQqHA48eP6ezsZHBw8ESr4mJZYy9d4Hv//Zf46vwublVBxDfIZtKobj+i8rkYQmCUNSTFidD3iYlJEpoh8Dod5Eom8XpcTgplHatrCSHwe5yk86V9fyrhCERwGhqFYplyuYQRXyOfz4EkoatefuBHf5b/+C++/1Dvp341Wd/tsra2hhCiKtlxktbQtxFCCLxeL52dna+1LfYw0HX9jV3b/V1fmqYxNTVFJpPhwYMH1fmZ/Z7Q+/FRc2+DDwExvKzryAreuVyOJ0+e0NHRwfnz55uSEqgP4IZhMD09TaFQOLFI3UHEsLa2xurq6rFTPC9KJVmSGUctvO/Hs9U9Pv+1WcaXo0ysxnCoMgKZ5PYqRjEHgFbMIbm8lS+5VE0hud1uioUCAqAuhZQvaQTcToq6USGFuvejyBiqB4dqUNa02gMOFwWhgqSC243IrSP5W5FLRQxDR3K6eTSzyPuPn/LOtYtHeo/7u100TSMej7O9vc3MzEzVD9hyM/swp532r9JfV1vscc7lTUJVVVwuF21tbdUdVf1U+osG7TKZjE0MHySs2YQXdR0pikI6nebhw4dcunSJcDjctNe26hf1nUEjIyMn/lLUE4Ou6zx9+hQhxCvbXF+G/cVnIQTLy8tsb2+fyGTo3Wdr/MhvPeH9xRgACgJkmYImKMfW0YtZpOoq30AUsgi3D4SoFIuhWNYRsgK6hqoo6EZFnRVI5UtEfG6SemPKzkCloAmE6kalgFYhB39LJ6UK/xm6hqQ4kGQZKdJNMbaOBBjuMP/gx36OX/2XP3Cs92xBVdWGadz9Q1bBYLAaJD5saadXdSU1qy32MHjb1FXrU0gHDdrF4/GGQbv79+/j9Xqb4d6mAPeAdSHEH5YkaQj4eaAVuA/8OSHEsbS8j4O3khhelDqqh2EY1UnYT3ziE02fgFQUhWw2y4MHD05cr6iHRQy5XI7Hjx/T19dHX1/fiQinPpVkzVSoqnosf+of/c1H7CZz/Ob9GTbST0F14ff5UGWDVF5DSBKGXkTPxs0W1IbzFhjlArJjHxFVzs0ihfrzThY0vA6FbEmrXgOPx01RB0mSweEFPYM/EKAkagFELqaqqSvJ6cHVPkg5toEkBDMr2+zFk7QeMCx3XFh+wH19fRiGQSqVqso2ANW001FMat4Ujjr5/Kq2WGu3cRxdq7dpxwAv7kqqH7Sz7oFkMsmzZ8/4vd/7PWKxGLIs863f+q185jOfOQ5R/G/AM8AyUvm/gP9bCPHzkiT9K+AvAj96grd2JLx1xHCYgbVcLlfVOjIM47WMxVvbx09+8pNNPb4sy1X55cuXLx+7VrH/mIZhHNu9TQjB1HqM35rc4N/+7jSZko5L9aAE3YBEURjkNAnJoaLn05TWJsw/1MsI1Y1kJoqQZBkhyc+tSCWE+T9DR2roSFIBQa5s4FJViuUSkiRTrMssCcDp9SM5vQhh4NSLlGUVXTeQpCrnICkOZF8EMnEKZQ9/95//FD/yd//KMa/oyyHLMuFwuLpDtVIvm5ubTE9P4/F4GtJObxtOMvl8lLbYw6jFfliIYT+s9NvnPvc5fvZnf5adnR3eeecdvvjFL/ILv/AL/ORP/uShX1OSpD7gO4HPAX9VMi/aNwN/pvKUnwL+Hl+vxKBp2kt9mMEsAM/Pz3P58mVcLheTk5NNPQdrSjoQCBAOh5tKCkIIVlZWyGazTSUcWZYpFos8evTo0GRj7TB+e3yF7/+lB8SzJXTFBbiQHYKyVKkVAFqphKQoiHIeI7XdeCC9jJAV8/OyhtgMzewmUhzm3IJRifRCRwi5ztGstnIt6QYOVaV8QHOVJAxyuQLCyFBUnXidAi3UbkqhZOLoho5RzKG4vMiqk1Ixy2/cn/vA+svrUy9CiGrqZXZ2lkKhUO34eVsmZJsZjF/UFru6ulpt43yZWuybLD4fhOO2q7a2tvLZz36Wz372s8d52X8C/HXAam1qBRJCCKvAtga8enq2iXgriOEwPsy6rjM9PU2xWOTOnTs4HI6qimqzYNl6joyM4PV6efbsWdOObZkB+f1+QqFQ00hBCMHi4iL5fJ5Pf/rThzruz35pgr//H95Hc/pBkgGBQ3VSWfgTcCkVbSMQugayBJJMOZsAWUX2RTCycesJICSQVBrCnhAIXTNX9XW/Qy8hqQ6EpD73OZd1gep0NRxHlSWE7EISIMnme8sZMrKQAAl8EQJ6hpzQ0QyBpKg4u8+iJ7f5X/7hj/Fvvv9/PdL1PCkkSXou7WR1/ORyOR48eNDQ8fMmitivc/L5sGqxVlvs21xjOCyy2eyxh0UlSfrDwI4Q4r4kSd94rIO8BrxxYjiMD3M2m+XJkyd0d3c3SEM0y2XNGirb29urFmtLpVLTSKferCcQCDRtl2PNPVi5z5eRghCCWDrPn/9nv86z9QS4PMhSZaVmGGii1iqaypfwOhV0AQVDQ3Z6MDQNdHMBIzs9GIUsWK2ohlabRrYgSYBAoACN19HQyuBQ2f9JS7KCITuQDc38e0lBF/XMArIkwFlbeQogXdAwDFE9nlHMIoTgN+/P8aOf/8/88c/c5LfGV7mYlfjEhf5XXdamor7jJxaLcfny5ao38ptKO31Q6qqHUYstFouk02kcDsdbsXM4DmmeUHL7k8AflSTpOwA3Zo3hnwJhSZLUyq6hD1g/7gscB2+MGA7jwwywubnJ4uLigbMDzRB7q7fdvH37dvU8mmWos7KywubmZtWsx6qfnBSWRtOZM2dob2/n/fffP/B5f/wffJ6NaIxYIolhGBiySqi1g4yQ8KgSuZIOyARcKpmChkeVKOAmr+sIQzOnjQEjvWO2m1bSQoq/BT25BYCkOjFKBSSX0lBDQJKRFBVJUTHK+YbfY+gISUaq/9wVcxchJNW6gI2PAzoySt0X16kXKDlcSKoThEDV8xSKMs62AXR/Cz/4S+/xz7+6jRTsRv7qA/6by7P87T/zzce86idHvWRDvaS0taKu1zd6XYNmb0pd9aC22Pv37xONRllYWHitbbFHwVFf9yTubUKI7wW+t/K63wj8NSHEfytJ0i8CfxKzM+kDc26z8EaI4bCpo6mpKcrl8gtnB05641gr+YN0g066G6nvDrpz505TCWe/BLcQooEgf3tyk28838nf/vmvcX9yev+ZkVUCyIpKAXC5FDTZTVYHRYVMMQflNEKAKBeQvQFEKQ/CQFadCF1D6GUkWUYJtqNnYgitZKaOSnlwec1uIkBRndXFvqw6zJ0CANZnblQ6W+WK/ee+z1hWTLLQzW4ohEB2easPC0OnVNagUuNAklBlF46I6VUhu7woniByuAcAHRc/8Zv3uDHUznd+/AoTS9tcPtU4THhSUbej4CBJaauQu7S0hCzL1UDZbNvPt2EOw+FwoChKtQ3cagd9HW2xrxOvaY7hbwA/L0nSPwAeAj/e7Bd4GT5wYjhM6iiTyfDkyZNjy068CvV9/vW2m/U4yWta5z8wMPCcwN9JiKF+0K5eo6n+XItlnb/8M/f55LkOvvxsByXUVV3ZAwTbuikptY9dURyUDYEwNHMlqTiQHC70fBotG6O0M4+EhOT2IQwdykXUUCdCGBilAkI3ql1JGDqimENy+5DkxpqDkFSEKAMCuboSlszitCTMFf9+lVfViaSoZkeTVsYAVL2ErpWQAMkog1ILGEIroau1lbAQBs5AK1o2juQJUdp4hqQ6+Cv//Av81K/8LiVvO//x75iNH5/72d/h+/7Mt/AX/tXvsrKb4ae/59vob2vel/0wO9t6IgBzN3uQ7WdLS8tHxhSmPnVj1WZeR1vs60QTbD0BEEL8PvD7lZ8XgDsnPugx8YERw2FTR9Zq+PLlywSDwQOfcxKUy2UmJiYarDGbCUs240WKq8dNfxWLRR4/fkx7e/tLB+3+08M1FEXi3bk9DEnBEenCqxikYzsAFFQf1jsWuk5RcYLQUFwejFIRCQWhlZDdfmRPACMVNYfJSjlUTwDd0NBLOfRkFEmYMhaS02UGeABDxyhkkX2RhhqCJEmoLjd6qVHbylwcUCmC1/+e6qS0pDiQFAeqJCFUJwogDANRBlEuIzscGMUcwiijyT6E0Mz0VTGPppURqgstulTpgpLBHeTu5AKODsHGXop0Uefnp4rEf/rLPIxCOVvmb/381/jp//Xb2EoW6AqdPAgfJ3ftdDobfLGtQq61k262L/bbhMO0xTbb7vW4aelmEcPbhA+EGA7jw3wSxdLDfulSqRQTExMvtN08CQ4rm3GcG9hKeb3KjhTg18c30A0J3agNjGnBHtR8Dr1UQHZ6QCuA6sbrVMgZBrLDWflSGGaLqQYInfLOAkIrgiQjkDDKRYTigGwCSXWALoGhYWglUJxIFRkM1ek2A7XL21Bz0CsOe/shZAeSMMyahmx+7gIZuf65hoFw1gK0pJfM+ofDFNeTnF4cgZbqc8uJTTPt5apo8CsKkuo2u6IkCTnUBZLEd/2dH+Pm7TsI1c1vLhugOpEcLh7uyfz1f/clFH+ETw238Z1Xe478uTW8xwPu0ZVokt6WAIry6sXJ/kKuruvVQu5RA+Xb0jZ7FLyoLdYacn1VW+xhcNw23mw2+1oWsW8Sr50YDmOmY6VejjMFbK3AX/VFOIzt5nFhCdV1dHQ0RTbDgnXeGxsbL0x57Uc0XUDIKmhlqNzkAgmldRBVK5hBQXGBViaTL5jFYWcrRrlUnUNQFAnh8OIb+TSFpUdo6V0zwEuY3Uii4qng9IKsIhkaSHql2FxXmynlEE4vsqxgGGYxWyAhUTb/bt/9ILQySBqS6kB2ehvel4FoKDrrpSKKx0wjyU4Pol7JtfK+VV/Y/NtywfxZkilFlwFR1XLaTpf4g6ktpKC5UBCGbr62JPHrSzpy8hG//yTC5S4Pgx3Hn37fH4zjmTzf8fc/z8jZ0/yHv/KtRz6eoigNaaf9gdLyHWhpaflI+WJbOGpb7GFw3PpSNpu1ZbcPCyt1NDU1RV9f3wuD2nHMbuqhqiqapr2wOHUU283joH724VWr+aNA13UmJyeRZZnR0dFDnXe+pLGwlzdF5jCA2upHkkA4vEiV+oJRKqJUVtNmGqgWuAzFaebwHS7cQzfIz91FzyXRy8LcXRRzCMWBKOXwB8N0R1rQkXA6HGxldDJ5M10kDANVy4PDg6yXMKx0kRA4ZNAEKKpqtqRiPSSQhDB3KqrL7EoSBnLdbgFDR3b7Gv/GXasHGMVcbdgOMMpF5MrjjrYBMHT09K6ZMnN60VCrXwSjmGsocBd10MsSf/ZffJE/cWuAq8MDfMvFriOT/16myD//8ho/eesW2/EMf/Rzv0jJEDzbKfAX/tmv8RN/5Q/X3ssxFhb7A2UmkyEWi1V9sevTTm9D4dlCM87lMG2xh1GLPS4xmI0TH61U3mshhvrUUT6fr4qg1UPTNJ49e1YVkDtua97LirmZTIbx8fFD224ehBd9UYUQLC0tEY1GTyRUdxDqdZT6+w/fd/9/fP4uRqXV09B1ZLl2TSWhg2qSp9BKyI7Kz7KCVM6ZaRbzD6vkASDyKWSX6bzmVgS6Vsbh9yJ0HdlQyWZSpCkx0NPB0s4ep7vaebJerNKMpulc7HQQzSnspmstq+VymXP97Szu1rWxAooiE4pESObLhL0q7UEPXreTRE5jPVnEQMKrGOT0OmkNvYTsMQO/oZUpJ7ZQvLXWZqnuS2umlVQUfwuKx1yIaLlU9XGXpFMv6RcIBCgbGgkpyOcfRfmJiQJdv/GMf/vnbtHf0dg+XS7rZItlfvfJEiGvm2+5dqr62B9MbfLu1Dqf/Fs/w248ZZoPqeZK/v1tg8v/67/ij1/r4ud/+30+95f+a/6bbxmlWC7jOsbkdr3vwODgYNUXuV4Ib2Vl5Y37Yr+ulNar1GLdbneVKOrbYm2/5xqaTgwHmensJwarB9/q2jnJjakoyoHEYxWxj7sTgRrp7L9ZrAK2x+NpmH1oBiyP6qOqxf78ZIbfmMujOD1mx5dat2Iu5pAc7loxWAhT7cIwkFWpMoRmPbnSt2o9NbUDSDh9IS72BLg/MYXL66a/p43ZlU0GutpoC/l4//Ez3E4HbSE/1/tDLCeKxNIFTne3sLQTpzXkpy3gaSAHj9PBuU6F5XiBXNH8DG+c7efhmhmoE7kSmi4Qqk6+rKPKEgMtXjpCXrYTOeKZPKmCbqbOKijvraIG29FSUVSfGRiUfWkpoZerpACNq9Z8oYAsZCSnGTByZXM1KCSZgg6osFVQ+NP/7LdIrU7x57/tNt/9hz7Bv/i1e3xxepe8JnCLPIVcFqfLw2cu9nGm1cuP34sCsBOr2Z5an5EkyYhwHz//tRk0TeNv/9gX+LFffZflnQR//rN3+Kt/6pvwe93H/p7s90V+//33cTgcDb7Yb6It9IPSSdqvFvuitlhVVW2/5wqaRgz1XUf7zXSswC2EqNpLniRg10NRlIYdw0mK2PthSW/X3ywWqTW7gH0cS0/r777zh3+H2Z0cstW6qZeqswGiXASroGvoZuuprJiPyTISEkJSqqQhSaK62u925FgsmdPNuiF4tpXlU7dvMDEzw9TyNrfOD2GUi8yubHLj4jAPn86xt7tHSdMZbg2TCXpxOJ0sFDVyOwl62kJ0hn1sJ7LcOtvHg/kNAM50t5J0qMSzRXbzjbu/C/1t3F9JAKAZArdD4e5iDJcqU9Qkznd6WV5ZRdM9FBNbIJmfleINYZTyICsNqSEA9u0wnf5w9T0LSUJSnBi5BLLLh0MG3WGmQWXVgfWXGeFE6r3CLzza4f/5g3+Po30QHEEkRaekhJGlOMVyid+eTfI7s+b5q94Qej5VXWVKSmMQdvmCyOUMpWya1Y1tvG4X/+n3x/ip33yPj186zbePXmRmbYvhrla+efQisXSBlWic+1PLqIpEpgx/5898I16X64WByhpuq0871beFGoZRTTuFQqHXmiJ5UwJ6+9tiLaXcaDRKqVRCUZRDt8XaO4aX4GWKqKqqous6mqbx9OlTJEk6ccCuR/0g2kltNw86dj3pWPUQa7DsJKhPUZXLZZ48eYLX6z2SpSfAV2d3mN3JmOkRRcYAtHwaWRhmoVeSkD2BWneQXjaH0ADKZjG6PtUS9vuI5zUutDoIulvYXHZSKJrkUNJ08sUiqsvHlRY/yUQcBQPD0NHKZb7pzhWWtuKEfV6++niagM9DZ1etm2djN0lbyM+VwQ6WdxLV389v7hHxe/iGK0P8wUJtRQ2wm230anA5zVV2UTM/Fy8lUuksSnbezDWH2ylgzkAIITDy6cahOFGZmbD+begYLj8SoJRSqC4fkiwjuwPo+RR4glXS1CpfF0MrIZBBgryrBdnvqKbfJEkgubzg8mKkoshuP45SCmEYlJ1BZJcfPb4BCHMSvu69OVWZnJDQy0UkoZMu5vE4FDyKzMT0PI+ezlHIpdF1gx/89z4y2RyBUIR0Kg0IHA4Hv/vuGL0RL7/8//vfD7xfnlO+fUFb6O7uLvPz8zgcDlpaWmhtbf1ImvRIklQ1aPL7/aRSKUKh0KG7vXK53Eeu8AxNIIZXdR0pikImk2FhYeFEuf4XwSKGetXVZkhZQy2VVO+Z3AxSsxzXJEmq1kGOuwP5d+/Omd1AsoKBjFRIIRm6OQ1MpYZQ1zJqCIGMmU6RHC5EMY9XFaA6KeuCvGZwoz/Ew5UEl9rh4qXLLM5OE09nUWSJ6dUdcsUybaE2Nna3SGVynOvvIJ3NMbO0RiAYZHEjyseunOX9yXmMjTVOdXSwFDNTSJpuFqfbg1720rnqeaXyRWY34lxoc1PCwfxulkt9bTzbyVaf0x5wM7nRSBybO6aJkG4IHKoMDjdUHOFkhwuvrJPNJlF85j0hysXqzwB+l0JeknBqGTTDqNZaJEkCvdbyK7QykscMAEY+WyVTYegN9QxD1BJziqJg6JrpI6GVQTU/e0/ATzqVpiikhpm+TC6PO9KFntmmUFEFyJV1nJqGhNl5pJW1arFTSDKpRMzsDtNKlMtlEqk0O7sx/u/Pf5G//F3f+Ny9+qri9v620EKhQCwWY3FxsdqWaXX7nDTt9DYqqzocjiO1xVqDh8eFJElu4A8AF2Y8/g9CiO9vplGPJEl/Atjvd3sV+E4hxH856G9OFOGEEBSLxYbU0f7HrW3a7du3X4v9nSzL1c4DS3W1WbDMesbHx+nu7mZgYKApKyaLcHZ2dl46DLcfS1t7aLpBNJYk5PdwcaiXry4mkZ1u9EIWRYZyqdgwLNZgmiMMJKfH1BRSZAxJZrgzyMJeHkVoXOgKUjLgYSV1s5cpspHI4430caVHo5ze5emimf6ZWd/lzsURvnr3AQ6ni5nVbUBmL5GmJejj3rMFTne3srC5x8LKGneuXeDe/A7D/V3cn13H5VC5dqqLx0umjPetc4PcW4yyHkvjciic7QjTEfawnS0Ty5rfh8H2INGlGNfDGrpeRjMkHi8kqm9v5FQvU/FGGZPB/l5mtpLo+TRICmKfW1w6W0BSNApOD1I53/CN8Hm9WON4iijX0k2GhhBGVeZDrbvGSt3PhiFAy4HiQDeMKmEU1CBImap0SPWzsjq0gt0YWwsEggFyJYHidJJMJvH6/Lg9XlLJJIlYDCQJQ5KRtSKICpnJCoIy/+ynv8AXfvNLfPnH/37DPXvUVbrb7aanp4eenp5q2mlvb4/19XUMw6gWcUOh0JGD/IdBWfVFbbHT09P8vb/39/D7/ZRKJZLJ5HEXpEXgm4UQGUmSHMBXJEn6L8BfpUlGPUKIXwZ+2fq3JEn/b+C/BX7zRX8jvSJH9soEWrFYPPD3VptosVgkEolw9uzZVx3qyMjn89y9e5dwOMzVq1ebXgC6d+8euVyOK1euNM3BDWBsbAyfz0ehUODKlSsvJbOSppPOFZlYXOev/ctfxutysJoBI7NHa2uIdOtlhK5XZgwysE/fSfUGEZUA5JAMypKD6/0hHq+nkRAMhp0s7pqr8tGhVsaWTDltlwLFfI5607VvGPKzsLDI7MpG9Xd3znbz1bv3eefyMO9PzNLVEiSZyoDDhaoo+D0uNveSDHa10tPdyYPlJEblnpMliVvnB5jdjKO4vSSytXupuzVItGyuSLtDXtoDLpxaFl1Sef/xM0Yvn+PR7AplrfZ+P379IvdWax1GHoeChoSmV0M6XoeCUxYkNQWjXECSlGorqyhmkFyVn4VARlSvnVRMgb/NbHUtZEBxYuRTIKsodakqS8YDoJzYrojEOsyhQmdtZall4zj8dT7chkY5tYuiKPhDEbJPvki6UAbFgSwrBLxuspk0QnUhJAVRzOJ0uykWikiKYnY4GXpVVkQ2ypSySf70H/l2/uZ/90f473/wZ/gTn7nGH7lzga21Za5du/bCe+6wsHyxY7EYyWTyyCJ4qVSKjY0NRkZGTnwuzcDKykp12vwwyOfz/PRP/zQ//dM/jdfrRVEUvvVbv5W/+3f/7kHv/ZXBSZIkL/AV4H8G/jPQJYTQJEn6OPD3hBB/6Gjv6MDXOAf8LvAJIcTKi5534lTSQRIP1oTxqVOncDgcxOPxk77Mc7C6dzo7O5vecieEYH5+nkwmw4ULF5pKCsVikVQqRTAY5MaNGy89b8MQ/M//4lf44qMFeloC9Ha2EQwG2dnU8Le1k5CDSIaBELpJ4ZVuI2GY6QJFVauBDeDm6U7SRY21hBmAP3YqwlfndmrnVueS0+uXmatlegi5Vd6d2USW3Ny8dJYHk7MAjM1tcm1kGNXpxuPx0hL0c36gmy8/XaWnLUBPRysdkQBPVmNsJFcYOdXH1JYZvA0hmF3b5trZAd6djTa894HuTnaWzftmI5Gj063z1Sez1cdll4fhvk6eLdVIKr9P8/BMZ5DJjRpRDLUHWIxmkF0qbW5wBYNs5GrXX5aV6kqoxS0TL9bua8nlRwBa1ixKS4qKHGg16xAVCENHruvowtDMHRqgC+p7v3A4Pej5DEqlzVYrmOQshbrJyioZQ8XnEmSKZXRhUNQcgEDXNcAAISgVCsiShG7omLPp4HI6KZY0VMmgZOj8x9/8PX7/8Tx7uztMTs3ypfeG+T++65M0A/t9seu9ofP5PIFAgNbW1hf6Yr8NNYZ6HLVd1ePxcOHCBT75yU/yIz/yI8RiMe7du3fkWCSZfs/3gWHgR4B5XoNRT2VH8rPA//4yUoD6CagmwJKZnpyc5Nq1a/T09BzYrnoSGIbBzMwMy8vLjI6OEggEmmrWUyqVuH//PoZh0NXV1dStbiKR4N69e/j9/kMVx//TvQU2kmYQz5d1cPp4dyFO2YC44aYl6ONUqLKilRQzWDk9yC4PiqricjroDbu5c7qN6/0RCmWdRK7EXraE36VQvyF0KLJZxK5AMRpTLufaPRTLOvmSzmxcp6PV3Da3BX2kiyXuT6/Q3dHGXiKF0+0BSWZ9J8b7T+aYX9/lzsgAumEwu7rBSF9lEFCCFr+bLz2e43ybE7lyOUI+N083043Xbt/iIlMShCLhht9F040pWI+zcd3T5jc7vTJFjWhWo7ullr5TZRpW/me6ammB7pAb4XDjkASqy9Uw59EZrh0j7KkFP72QqUqWg0k69dAB2RNEL2TRCxmEXsYZ6kB2uBCFFM5wF6lkkqDHid/tAknG5fYiChkcioTTWSmuIyHKJdBKuDweCoU8Qi9VdhIqpWKeWCJhfg9zSR4/m35trZWWN/SVK1e4ffs2PT091VTsvXv3WFhYIJFIVBs6PuzEAI3Kqi0tLcdycBNC6EKI65i+C3eA17WF+gFgUgjx+Vc98cSfSn1nzePHj0mn09y5c6dakGmWmQ6Yq+379+8jyzK3bt3C6XQ29fjJZJKxsTEGBgY4d+5ctaOqGVhdXeXZs2fcuHEDj8fzSoXVYlnnn/yXx2zmoKtvgLTsRwp3EWjrQnL7ULxBLvcEKWgGEhJIVIvMkiQhFActLa1spHXGlpOoDoXHa0m6Qh4cisTpNh/5Uo2wz3YGTPIBEILtTCMxbNb13xfKOqeHTtPTGiTkgsWNXa6fH2ArlkJTvXxpfAEhDMqazs1zvWQLJd4fn+GdkQFKZY35pRWuDrZx/UwvCzvmintyJUqvD/qCDvraw+Tqzu10i4uZtcYdxU66yFw0T2vIvM9CPg876ULDc3YzjWnObLFxgaLX3f4DLT60urzZdsr8W49DYbgzwKVuPwNhF2e7GnePHletADvYEa7+HFYbdaH2+0rIigNJUVB8YRRfBKcvAm6TZIxcElQnaqidZGyPUqlEPr5DMZcBAaVcimKxAIaO26HicHtxOZ0UshkznSQMnP4wqsP0qHAZBfRiFgydRCrLdjLH64Ysy4RCIYaGhrh16xbXrl0jEAiwtbXFvXv3GB8fZ2dnB13X35qWz+O6tzVLQE8IkQB+D/g4FaOeykMnNuqpeD18F3AoS8Om0LUVUDs7O7l06VLDxW3WjmFvb4979+5x+vRphoeHq1+6ZhCDtdN5+vQpN27cqA7CNMM7Qdd1JiYmiMfj3LlzB6/Xe6jjfuHuPGuxLOlCmd3KoNjERoZsWUJ2uFGAieVtolYw1BoD+XBXiK1ULTAmc2X8LoWIx8FAxMP4WpJErrbC9rlqq+AzrS4Shdr5nWrxsBytpUwAlmI5BtsCTC+Z9+uj2RVaQwHi6RwOVcEpGeiGYG1rl+uDbUiSxHvjM3xspJ++jhbcDgWP2rhyXdpJkisU8TkVeoPm+UTUMt5y42u3h4MkciWS+TLOSBdXhgcY7G7jbGeQsNcM1B1BD0u7tY4mRYKFaKbhOGuJGpFEvLXVfpvPyWrc7KI61xVkL11gYmWPuZ00fnfteYoEG4nawJ6rskNRZYnhnraG11LrWmQRolHiAzDqJDz0vLlbUis1iHK5jOz2Uy4VcfuDIAR+r5miKuRzaKUSuWQMSjnUynevVCxgqB5k1UE2ncTlMp/vcLr49799sKnT64TD4agqA4+OjjI8PIwQgng8ztjYGFNTU+zs7FTVl98ETrpjOA4kSWqXJClc+dkDfBvwDJMg/mTlaScy6pEkKQL8BPDnhRDpVz0fmkAMVkC9du0a3d3dzz1+0sBt5fvn5+e5devWc3pEJz2+rus8efKEZDJZDdwWrAG34yKfzzM2NkYwGOTKlSvVm+4wxPD5r802/Hs3L5ktkpKpQRRyaCRzBcq6hKQ6UaTGVVdroFbovNEfIpop0hPxMrOTYT6aRZZgM1kLamsxM4gOt3kYjHi41OniRn+QwVYvrZ7nUw+9HoPlaBKnNVdQ0gj5zeBzfqCLYrGA0EusJ4uUdYOrp7toCXjZisYIe12892yZd5/Mcet0B/UpraG+Lu7OrLOyvsWQ32C4zUOm1PgZtEZqK7TddJGpuEGwpZ25nQxlXXB7qI3BfV4Kp1o9FMq14/S2+NjNNKaervWFCHlULvQEUGWJc51+nmykWdqrEUy94mt/xNOwy7BO81K3n526VbnHoaDVfTydYQ+irhbplE0hQAtW55Ssusx5CSEQwgCHyzRDAjLpdG1QTui4PR50w8DlqAU2h6qazxFmjcPh9iKEwZfef8Rf/79/grWtXd4EJMn0xQ6Hw/T29nL79m26urqqrdv3799ncXGRZDLZFLfDw+K4xHBCZdVu4PckSRoHxoDfFkL8GqZRz1+VJGkOs2X1JEY9/xPQAfyoJEmP6v77b170BycuPgeDwZeK051kx1AqlXjy5Al+v/+F0hMnIQYr/9nf309fX9+Bxz7ujWmJ6128ePG54rUkSS897spumonVWOO5agIhmUY6bkknXdTRDZAdTiRZoSfoZDVZC3TJYu2aOFWJgNvJdqpodroAgy2eahqny+8gnS9xpcvLYjRNNKYRzxYBk0B6BoKEfE6SlbbR1oCbB5OmztU7F8/y1UdPAZhcXGf0whAt4SBDA/2sZSUkh5vplSkkWaFYKjPUfZ57E1NcHjnH5Oouj2dX+fTFQd59ts6ZgW4eLNaK4XObMdx9EVZ2UwS9LlI5cwfk8/kh2xjU45WOplxJ5/5SjMv9Ea70R3CpMlvxLF5n4/3ZFfaxma0F/FxJZzFqtsrmyqaZ0HK8SE/YxdpebadR1msRPuJVWYTKFLbBVto0EMoWNNbjNWKI+JzkU7XzbfO72cnWHj/XE2Zyy/y3A52CRT6yYu4sFNUUFhSCYrmimiuMBmOjYllHcXpIpZJ4fEFK5TLlcgmHL4QoF9GKOYxyGaNiz/ozv/o7+FwOvv9/+bO8KVg1BlmWCYfDVQkYS9toY2ODdDr9gfliHzeVdJIdgxBiHLhxwO+bZtQjhPhHwD86yt+ceMcQiUReejGPm45JJBKMjY3R39/P+fPnX1ikOi4xbG9v8/jxYy5evHggKRz32EIIFhcXmZ+f5/bt2wd2NL3qmnxxcoPWQO0LcLq71fRHNnQwdAqGmR+XnR4k1YUqw1ZdTaA96GG2Mhh2rS/I+0sJ1hJ5Bls8WOncNp+D0+0+zrW56PLJZPNFxlfjtHmVapAF6AuqfGV6g3xR48pAK2Gfi6EWT3W1+nhxk67WcPX596aWGN8qsWGEkD1BDK1Isaxx8bQpBrixE0UCpucWuDEQYfRMF1+6+4iIWjStQ/elm9d3kxTLOiODNQtOaV8aJuCSWdip7ZDDXgeTG0merCW4txRjK1VEL+bo8NfSOfVDf25Vxu9SKGiCZN4U6yvpgqIuaPM1dtMk8rXrLAnBrcEwXqfEx063MBjxcLU3gISOXreTCHoaB8E8zsZjehy19VmXv94zW8LttoryAkV1mL4SFiFUXPcAvJWaniTJDS3kisOFrpXRSiUM1YUkKabsOvDvfvV3eZN4UfHZ0ja6cOECo6OjnD59utp0cvfuXaanp4lGo01taoHj7xg+aiY90OSupINw1A4IS7V0amqqId//Ihw1eFuGOmtra4yOjr50KOWopKZpGo8ePaJQKLxU7+hVx/3595dQnG7O9bTQGvCS1WVz++1QEAiQVQzZUS18nmv3NqxkhzrCCAHnO/0Nq0qXWkllYSAQLO4VmNkrs5nRMQR0BFzVXYQFr8P8+5Jm8GRlj56gi831terjhZLGQF8thXh1ZJi9TC13L8olJCTUihnN+k6MWyOnKJbK3JucQ9c1rp47zfZeksT6PD3BWhA92xViryK692Bui1OdJsnupBvz0Od7Wqh7+3QHHA0Ecyri4Mlagmgsxq3+AG6HzE6FSLtDbkYHw4xVWmNb/c6G2kz9gVRZYiNZe28OReLB8h7xbIlMSefeapLH62kCzsZ7fn93FPu+E9m6NuGA2nhf3LxyidvD5vUVhs7Vc6dwKIqpCSVJqB4/qidAoVAETHkTUS5U9bHKmobkCiA7XOYshSybVqxCUCiW+O5/9LP8qR/+L/ytn/xt0rmDZ5JeFw4TiC1f7P7+fq5du8bt27fp6OgglUrx6NEjHjx4wOLiIqlU6sRF7ON0Sb0mv+c3jqZ1JTUD5XKZR48ekcvlnsv3vwhHIQarq0lVVW7evPnKKemjEEMmk+Hu3bt0dnZy4cKFl95gLzvuxFqchWiGaLrI7G6BnOwmmq+sCh1y1e4SRFXuoNWrcrk7wPVT7Qy2BXA7VUZPhdlM5KrDaz6nwtJelo6AkzuDIcaWkwjgzmCQTr95nMGWxpX4QIuHybXGNtFkJotRbpTKfjC7xtmBbnraW5lPNL4v0wEOns6v0N1WCex7tWPGcjqz2ym62iKs78TYXZ7herf5uZvBzoRmGGhIjJzqaqiNAOztqxUItXGFruXNa6DpBndn1mlxGgRdMjf7g+ylsmY3ViWmdIUbUxX1KaHB1hoB3+wP8t58tMob3rpFgKE3rmTVfQ5tubqaiSTBcqz2fpw0kp7m8PHewwkuDJpDV5ML63zi6jDDPS0EPB5UrYAqWceTcEgSEa/KUKubK6d7EFoRj9PcZciKE1HM4/O4USvF6KmJcUJKgbtTy/y/fviXSOc/OHI4TiC2JLXPnDnD7du3uXz5Ml6vl/X1dcbGxpiYmGBjY4NCofDqgx2Ao8azZnYlvU14a5qIU6kUY2NjdHd3c/HixUPfMIclhng8zr179xgaGuLMmTOHugEOe+zt7W3Gx8e5cuUKPT2vtoB8GTH86sPV2j8kGc0w9XQGIy6ymlGVUbjWFyZTKHO7P8B6qsTkns7jjSxZXeHd+T3uLsZoC7hIFcwgdbkngGEYbKcKrOxl8DllLrWprG3u8GBuncGARKaoIUtwdcjcpbX7nifOLp+MJDsa0iFCQL5sEG7rpKTte18VEsnk8nS0hJAkicX1bUZOdTN6+SyzmzEKJY2Ozi7cLifpXIH37z3g0wMe9lLZhkOt7aaIhMN0++Byl4fzHX7OdwVZ2q3VANoDbqa36qefZVYTjcHO65CZXE9wf2mPomaQzNcCubdudd/mdxCtI52Iz4UiSdweCNc8riso1m1ZktnG16vfzQFspmpBqzfsbSAKoTWS3EI0gyLLJGNRAl63WWfQTR+8i6d7KZbLXB+upUJdDpm9ZIa5tSjZbA6EIF8ocGW4HyQJyeHA75T45tuXzI2LVuB33r3H8vIyDlHmL/3zX6FQam6K5kVoxhyD0+msLsZGR0cZGhpC13Wmp6cZGxtjZmaG3d3dpqedLNippBPiRYHQsq+0huKOKiT3qlW9lZqamZnh5s2bVXGsZh17ZmammpY67A3ysuP+9mRtkld2uBCyg4jXTYtboS69TUkzGOnw8GwjwdJebVU71O6rylhYA10+p8xaPMdetkRPQMXtcnOh08vj+Q1Wds3cvKyqxDSV6+f6mdgp8c75Pha2GgvgnX4n9yfnWN6OceV04yCm3+fF6znArKiUr05lP55e5NM3L3D74jDdbREm1msBfHJpi77+AVqCfvo6W3kws8qZFif1HUthv4fJjRTrsSzjy7s8W92mK+giVNdCOtjmb0gjnW33UtIbr7U/XJOi8KoS83VtrPn66e+gi6E2Ly7V/Jq4VIXhdi/3luPI+9RionUqsJvxxjmBbF2gjficJHL19aDGa5bP57k8PMg7V80Zp0yhxPmREVY2drhx/hSqorAWTQCCiZlF+jpaePB0ju7KwKGkukwZDr3M/PoOoxfPALC6k8DlUJEkma1YipWtXfr6+onFU1zp8aPpBu8/maaQy/JXfuzX+ZkvTZDOP6/ZVtJ0vja3w2882eDB8h6/+miVH/ilMX7xvTnWYpnnnv8yNHvAbX/ayfq+JxKJatppaWmpKWknCx/VHUNTJDFe+SKVQbH9N4ElxS3L8rFtN1/2+pqmMTExgdPpZHR09Mg34ct2DKVSifHxccLhMDdv3jzSFvRFxDC2sMtKXWukQzXbHM+2uZnaTFUVPS90+kjnCqzGclwfiPBorRZgU3XssZUucqHTj1uFB6vmgNqZrhD3l+J49r1+WyTEvfUsO5Xp4XK5RFvIx+nOCKt7KTbjWfr9sFYJsmPTK5zra68OnmmKh8fLUT52vp/3ZzcBaPE52aisgFVZQgf0ssa9p3O4XQ5auk8RTdXSKPmSxsily4w/nSZXKPFgaomPXT1Xyf9LjAz1M7ZYa7FsD3p4d2Ybl0NhpNOPQOCQNK71+Jnfy5Mp6gSdMkNtvmpKTVVk5qO1wH2mK8zERq1wvVi3+3ApgnhOY6jNj9epcHcpVl39p+qCptelsl3pOgp7FPYyjavT3XSdBlTIS2Inh0uVOdvhR6nck0G3yrl2L8UcPF5NcKpu59La3Y/09CmrexnOD59mcnqOW2d7CQcDpLI5yppGb1uIzb0kmXwRj9cPWokiMLu0TtjvJZHJ8bHLw3zt8RROpwtdUtiKp+nvDLEwP8/VM2d4upM3daSSSX7xS4/5wS+8y/XTXVw/P8TyXo54tsST1Thej4t4roRLlbnR5Ta7+xa3+Tu/8B7fONLFX/zGEUbPHdzQUY/Xra663xe7VCoRi8VYW1urqqKe1Bf7o7pjeG2ez/WwAmx9Tr8Ztpsvg3X8U6dOHSq9cxBeFMCTySQTExOcPXv2lcXxFx33oEGe35tcRZbAENAbdrNVlGh1CfZSGcpCwiFLeFwKEY/K0/UEQDWwAAyEXcxsm4GtJ+Smzefk8WqCwcp963XITG6kOdPi5OFMo1RKslQnjyFLbO7ssV5ZASqyxDde7OVr79+rPkcIQSyZxakqXBzqYXzdDK7vTa8yeq6Pe3NbnG73Y+1/WoM+OtrCzC4uA1AolglKeeKyjFa5xv1dbYzNbtDd2YMS3SKdK/De+AxXzvTjibRzf2mv4ZxPd7cytrCLVtR4tpHgbGeAd6dNUpIlidtD7Xz52Rptfmf1ul4a7GIyWgvq9X3/Ay1eVlJlZAkudrhZ302TyBkkcmUudNbqC4oEy3UE3tviZ76i6hp2KdSfpd+lEK8fJHQ7ONXqRReCyY0Ul3qC3OzzE00VeLAUhbKZZlrey9IS9BNLZdjKGpzu72F5NwNk8IVb8QYjvDv2ALdD4dbIaR4+m6O7vZ3NvSQOt490LIPschBPZ7lz+SxjzxYZn1ulIxLA5XSwE0uiGwZObwvFaIxCLsOZiJux6bXqXsjrcuJSe3iwsE2+LBAIbp9pZy6aRVUURtocfHl8rvreuiN+8vkC3/1//SK3z/bwF77tJp+9OfzCRdMHra5qCeR1dXU1KKVOTU1RLpcpFovs7e0dyqDHQqlUaqqt79uCDySVtH+WYWNjo5qTfx2ksLm5eaSc/4tw0I5hbW2Np0+fcv369WORAhxMOKurq/zGxCYX+lr55PluSpITlyRIFgXJksyNgQgDLR7yRY29uhz2dt1qNOQ2b+agR+Vsp5/7y3HaPDCfNHCrEk6HYkpYa405cLdTYXGvtnK/2q5WSQFAluDpepyh840SLrvpPDfPDRDb57p2f3adj4/0MP9sovq7WDrL1OIam3vJqozF1OIaw+Fa0KiUQ9iMpbk8Mlz9vSHJrEUT3BoIolSe7nc7ebbPm6F+etuoDIUZQrCTLnK5zyx8S47GwrQlfRHyqLQH3QRcCld6AiSLgo1M7X1JovZzl1+tGgWZf1tbbfqcEtcHaqmqrnDdwKQEfreDZL7MaiyPIsP0Vor7i3us7GXpDbmrA3NCwNlT5qp7L52ns/9M9Tj5ksb9+S2QZAZ7uohnCxiGoK/dTCfJsozkdOORzXv37sQsV870caq7jVO9nRgG5ItlRD7DbiqPw+kkk8kyOb/K2YhcTUF2tgb5ytwed2fWebK4QaFY4r2FGFvJAl1+lcczSw3XsrPFbI3+2NXzFHSJv/Kv/jN/4yd+m3uzB6s5vEmtJEmS8Pv9DAwMcP36da5cuYLT6SQWi/HgwQMePnzI8vIy6bpBwq8nfCCpJCvAWrabzTK82Q+rFbVQKDTNUKde8Ms699HR0RNbhu4/bqGksZkxSGsF8hpkiwK/WyFXEhQ0g1xJZz6apcXrYLayKwi4FNYrkgwu2czG3xmKsLib5fGK2flzvidCf9lAkSTeWzRrBolMnqGOIIuV1tTT3W3MJAVhj0qxrDO1stVwvhd7W3i0tMNOEi6c7ufZQq1AXio/nw4whECXnHhO3+Iz1yTefX+MUmyDOxdP8WhPweUsQtJccT+ZW+bW5fNkhZunK7XhtntzW1w43Uc2X2Q5pZEv5tlOZOhtDdLT0YrT6+fuQm1t3hXyML7SOMm7Eq0Rx/Jelkv9rcxs19JIfREPQbfK7cEwU1tpDCBd0Hi8luL2QJDVul1Bsly7zyMemfpmrXLd4sHrkBlbzdId8rCZzBNwOwHzNS92B5mLZolXagyDrT7m64QLW3wOluvOvyQ5K9c/QjGxQz0KpTLXLo1wf3IahyfAZ25eYGZli85IkMHeDsaelcnlEvj8XkZO95MraKzvRCmXNc4NdrO+m+DUYB/R3RgXhk/z4NEEI2dOMTm3jNOh8pmP3WZHBNEr9RdVlsjrMu1eiQ6fSsgtk9x1EqvTp5Iqsh73lsz77Oal87w7tcYvf+0Zf+jmMH/9T36KgfY6U6O3TETP7XZX7QH2G/T4/f7n0k4fZcL4QFJJqqqSyWR4+vRp02w36yFJErlcjidPntDR0cHIyEhTjm8RWqFQ4PHjx3R2djI4OHjiY1vEUH9cORKhxbdFb4ufB0sxVEVmL+fgM2dbKRTL3F2p1Ajavdyt9PYPtvmZ3Mxw+1QEo1zkwUYOyHGh1cFUWuMzw618aWaXjoCLU2EHIy0KDkXi6ZaEZgjO90SY3ogT9PvoRiOZ1xnt8zH2rDHA1u9uYsJL0OclVZnczZdKiGIZn0utitS1hXxMbqYplHW2U+Duu4Tk9DAXKyKpHuIlDUmqjQg8mZ7n09/wjSwmaitLQwi2MxoXBrpZn60R1fpeikJZIxLKc7s/yEy0QKqg0dfiYTNeqxUMRNyV1IuJZK7EuT43V4MuYjmNomYw0Orja4sJwGwbnatzi6vXkWrzO1mv01Xa3+acqHQ1eVUoFQoYAnRJ5fbpNpTKvTLc7mMxZZAv1HU5eRqPo+wraKeLGhG/m5XFBTa2owwN9rO0XWOkxWgaly+IZkhMzCyiyyplRWXsmUkvijfISF8bsXSepc1d3rl0hvfGp1jbiRH0e1ne3OX62QGEbqCqCgurm5zv76Gtb4ix5QRlLcZQdwshn5dwayuTa0n2MgXiDplCuUSrz4nPpZMtlukM+3m63tjaLBDkhIt3LrXzmw/mePfpCv/VOxf59MV+/qubp98qB7f9MxX7DXoymQyxWIynT5+iaRrj4+O0traau7NjxgNJkvqBfwd0Yq7r/rUQ4p9KktQCfB44BSwBf1oI0XzvgpfgA/lU8vk8c3NzXLx4sWkuaPUwDIMHDx5w9uxZhoaGmnZ8WZarMtxnz57l1KlTTXNwy+Vy3L9/n+HhYU6dOsX8TppTbQEeLsdRJMFQR5CgW6VcLpGtpC18ToUnq4nqcfxuB1f6QtxbjrMYN1MibgXSZTjf4au2QZ5rc/Pe7CZP1+NEU8VqusJQnPhcKsmSoM3vJlfSWY2m6GkPV3vvI14Xk2u1lXksW+LM+RFkSeLOyCDPlrdZ3o7RG3BUBeZOD/Q16BJJCJxd58g6IyBJaIqb0Qunq4/fvn6ZL0+ucOd8Y1qxp6OFu8tJzvW2EawLogOdLcxvxnjv6RL55C7vDPiZXYtyvk4q2+d4/nPKlWFsfof5zRhr0QTxujbV021+0hUZEYcMy3WdXv2RxtmGaN0qWVEktrPm53OmzUuhIooUzZS4v5KmLGRuD7WxW5Lp9qsNob9eZwkgsW/ArM2pczoA61s7CCGee08jQ31cuHQVWZYpqD5ShoN8WTfNglx+BDLTq9tVBh57tsBQTzt7yQyD3a1Ikil+WCyVCQeC+DwuphZWyaQStPldGEIwv7GHpDr48vR2dXDxfG8E3YCddIne9hBhr5MWv4tyXfdXX4uPh4tRciWNscUYdy4Nc/vCEO/PbfG//fgX+SOf+w/89tPthlbdN4mXDdtJkkQgEGBwcJAbN25w8+ZNent7+fVf/3WWlpb4Q3/oD/HDP/zDTExMHHUXoWF6I1wEPgZ8jyRJF4G/CfyOEOIs8DuVf3+geK0DblaaJJvNMjQ01DQvZgtCCBYWFqpOaFb3QbOOvbKyQqFQ4NatW0099u7uLrFYjJs3b9La2sr/9euT/LVfeEgsV6bd50ByuPA4VK71BciXDSYrXTOXegOM9IS4caqVG4MtbCSLjK8lGYh4iFdcai52BSiVDTbiOZb3cnxiKMRXp2sr8RZ/LR++sJdnoLuNoMfJk/UUEY/C3HaSma0UN053MXq2m5FOL8Mtroa2yom1ON/y8etMrW5Xfze1skVI1fnY+V4eLjcWiXsjfjB0PANX8AxeQ3K4GXu2yPnBbvq72ni8aQac95+tcOecSQ6yJKFJJhnMRbMoLh+XBjq4OtjOozo9pXxJQxemVtLyTpwL7W6CLoXVROOAU1vIy/RWLbXkdigs1HUntfhr7+9Ua+MkuWYIekPmdXOrcsPQ20CLn5Iu6I+4ebKeJKc1BoalRIkHmwVSRYFTagyCO3XzDKoMK3uN7Z6lXNrURKrgyewyt4ZrNbO9PEytx7h5/SqKw4VlEiY53cjeMMgqmuykL2K+N8MQlHVQFYUnsyu8c9lMm6zvpRjo7SJbKKE4HDx68oyV+Rmudbm5daaLqWixoQU4laud9+xOBofHRyDQOP3r3zfBfW9xl1gBNjIGd84PML0R41cnonznD/46P/Rrj9iMN86sfNA4ihyGoih8+7d/O//oH/0jrl27xo//+I8TiUT43Oc+Rzp9KPFSAIQQm0KIB5Wf05iqqr3AHwN+qvK0nwL++BHeSlPw2nYMlrKo2+2mv7+/6ccvl8s8fPiQcrlMS0tLU+sV1lYxl8vh9Xqb1nVgGAaTk5Ok02na29vxeDz8p4er/D9/MM/l3jDJXJHdvI5AwuWQ2YxnKzer4EZfgGzR4OFaioerSSRJZiVmBqhQpZ7qlQ2WdrPspIuc7QrSE3ZRLJUaVqZeV2P6wu/zcb+SphoM1Qqz95Zi3FuKs7abZGorRTyVoSPoocXvYrQ/wLvvP6C3pbFNb3UnTln1c32oszoo1t8epKe3CzXYhiSbZkJqqANcPkrFAm29Qw0rzfenVnjnfC93Lp1mfitR/X0yV0R1uvB6fTjqJokVWWJ2w8xp50saTzdTnO0M0BloXOWf6WptCG7nelsa5htidbMFocrupCPgojfsxuuQWNnY5kqHi+u9Pi52BTjT6qUv4mGgxcft/gAexXTO264L9hGfs0G+vFhHGj5Ho7zGUKv3ueHAlZUVlrYbZ0mW1zZxOhTO9neyvGcGocdLUTxtPTicDtP72Wnaasr+FoqawXuPJhk9PwDA+m6C6+eHAHg4vUhrOEBvRyt+v5/zQ/0YhkBCMNLfjsvjZWJxk9LuKhEtxtU2idGhVua2Gov+Qx0BxmY3ONfp42ynqTRaNBpDi1uVebYRRwi4txzn+tkBOsNedtMF/s3vPuWz//BX+YEvjDXYu36QOInkdl9fH3/hL/wFfu7nfu7YSquSJJ3CFNN7H+gUQmxWHtrCTDV9oGgKMezfNUSjUR48eMC5c+cYGhrC4XA01WXNmpLu6enh/PnzTTXUyWazjI2N0draysWLF5uWlioUClWv53PnziGE4MFyjH/wKxOMnoowsR5nJ2W6bt3sCxFN55nbTuFSZa72BpjaSjO1Za1GBHuZWupoKVHkZpebXMkgli0x0hXAEAZP1xPP6d/sb74VUu3LIO1zbQu7ZVYqctxlzaDV5+B0WOErX32PTC7PxvYurcFa181QXxeP1xI8XNrlVGeY0bM9RMsuVNXZIFonkls4PAE01Yso558zwy3qAkPQQABhn4uVnQTvz6wz2B6kp8VcoY6eH2hICQFsRmOs7sS43Buu/m4v1/jeXM4aCbb6nCxEaytWwzC4MRAm5FXxqoKvPjVbex8tblMqlniylmBuJ83qboZM0UyVTG+l6Qi4KNQPyEVq0ucIwU62dp79kUa5F9c+KYwzbV62tnfYjqW4cLo2E7ATT3F1oJ2c7KXeRjieKTBwahh3MFK91rLqQvaEGDl/Drci6Gkzd+wTi+v0d7bR1Rqmo6ODYDDA+MIabpeDWxeGaGsJM728xdriApe7fEiSYCeRYWF9h7W1VW73B/BW2nxb/C4mls1Zlun1GLMbUT4x3P6cGdBwd7jBP3x8JcZWWuN0u5/rg624nQozGzH++A/+Kv/x7jz6Byi3DW9WQE+SJD/wBeD/I4RoECsTZm7qA69yN93ac3Z2tmq7aSmLNtPec21t7bkp6Wa5uO3s7PDo0aOXKq4eB4lEoqGeoCgKhbLGj//BLIoMM9tpNCEhyRK9IRcrMbNP/FPnu3l3Lsrj1QRD7f7qyv9Sd5DlWA4JwbUeL+faPFU1z8E2H0GPyoPlGIYwWIg2bm3jdQFSkmAlXmtTXd5tFNA73eZrWGU/Xd3F466txOPpLF1Bd9WjoKe3ds2ersdRHC6uD7axUGeYo2Vi6IaBLmAtmmR8ZpmbfYFqiAv5PKzG8ozNbtDqd3Gz4tdwuiNEImuusOc24+ylcnxqpI9nG401uaH2AGvxPIWyztPlHUbanPRHvCxGG9tv6/WJTrX7q9+8dr8DRZZ4uBJndjtDyLWv44pG1HNSq69x11ovntcVcJAp1Ynl7Ss8F3UDt0NmpNPPpe4gIlbr/Nov0pbM5OhpeX5l6g21Euo9w5m+2gJT8YZYTep85fE0PWEvTlXh8lAv3R2trMbzTK9s8f6zZc4O9qGoLubXtgkHA2iGIJHNgyhzc6CFT18aIBTwsRpN8v7kAh49zc2+IP0Rb4MToBBQKJUIu2Wu9EewYppGY9A92xlgL6exsJPi0VIUjwrFUpnNRJa/8TNf4fbf+Dm+//Pv8gtfnaoKKb5OHFdy23KqPC4qPsxfAH5GCPFLlV9vS5LUXXm8G9h50d+/LjSNGIrFYtUI27LdtNCMwG05ocViMUZHRxs+kGaYAc3OzrKysvJKxdWjwrL0tOoJYBaff/VZkt+a2GQvXSBVKCMhISsOook00WyJhd0ca3V51/oefQydoZBER8BpXmdJomhIXOry0B9x83TT3Or3hT0N6QlVkVmN1VZyp9qDxCpSDl0BB9FUY16+WGz8tyrLTO4JwsHaKunJ/BpXB9vobgszu9v4fEl1sp0pNxjilGOmMqskydWi6PtPZrjU6cbnVDl3qodYpci5Gc9wf26Tj5/vbQg+AMWyRjSRxCfyXO8LYQWgFl+thqILwbPNNJ1hH+daHfQHzS/+UHugek7tfid+l8roQJDeoIOAS2ZsqZa+2U405r539/lK12sp+fZ5PtSrprZ6Gr9q6Tqb0YBLwe/x0hKOMJMA2dBIxmt1msdzq3S21O7JUEsbS1t79LbWCON0Txuz2ymSuRJJ4SbgraQ/tSLpXB5DcTA5v8KVgRZmV7cYm5zj8qmaKu5mPMPc+g7tLeGqUVCuqFHM5/GosBXdYzcaZXSonbaAh3g6j6QXWV5Z5dZACE/lvV8ZaOXe3CZre2nGF7c40+bjG0Z6mN2XfnLvU5x1KTITa3HOtHm51BPkQk+Y92Y2+ds/+xU+9X0/y//wL3+D92dO5G75UhyHGNLp9Il2DJKZjvhx4JkQ4ofrHvoVTNc2OKF723HRFGKIxWJVgbp6200LJ90x5HK5Bie0/fWEkxBDuVzmwYMHCCGeIzQLx+lXtuoJlqVnvcFIPFfml59WVueyjJAdhP1uDK1EUSiARLvfWZVxANhMFpEQXO1ys53MsVuQMJD48nwcSVaY2skxv5snHk9Ug2iLt/E6Dbb5G/L57XVpoHaXxqVuf9X5zO9UeLbW2Lba1x4mmS9z5Vqjr8ij2RUuDJ9q6Kq5dbaHraz+nJ+BKJgrd0lRcda1fT6aWuRib5jtRGMKwqGYxd5nGwmuD/fSURmOu9JnttpuJPI8mF3lem+Q4a4gjxYaZzB8bgfTO1mmt7OsxPKcbnHREXAyEpEZ8htkM1m+MhtlbCnGeiJPax2xtHpVlup2XF6n2kDWrX5XA+lpdddWliWW4zWiLJXM50nASJcfv8vBmc4gvREfg+0BHm3mqnLf5Xya3v6BhuO2VYihv6OF8fUUsXSeXK7AUMVnuqO11hyRzJXo6u0n4HOj51KAhOwOkSmWmZhbqXpTx+KmfhLAejTO2VP9IKu0RsLcPj9ASdPJFDQK+RwOo8TN052oksZAi5urAy1s7iXZTeV4f3IBI5vg08MtGPu+5/FsnieLG7Q6NG73B7nQFeDqQIQnK40NCh1hU+NrYa/A080MZcMcMAyFwowMdGKg8IO/9DX+x3/yS/yXsWk29hp3tyfFmzDpAT4J/Dngm+tc1b4D+MfAt0mSNAt8a+XfHyiaUrFNpVLcunXrhUXakwTuaDTKzMwMly5dqjo8Nev46XSaJ0+ecObMGTo7D67vSJKEEOJItYZiscijR49eOPfwQ781TVEXCElGUVRURak6q1FRTx1o8RBNmUHyVKsfA0FfwCTY3bzB+U4/05VBt2Sl5/5qb4D3Zre51O3n6Z5GPtu42m3xe1jYqwWr9Yrj27mISr5YYnZX43xXAMhwtsPLvXgjMbSHA6xlM0zFDc6dPsXMwhIAH7t9gy9NrjLUGcEbCKDpsFd2sp4s0BWoEe0Zv86Eo3KPKCouh1wdDnOqCruak2SuwM0zXTyYNwP8rbO9vF+ZY3i8FCXgcXJjsIUn+4bZHsyt84mRfty9EZ7Uud9dGepp2AFsJvJs5WrS11f7w0xs165JNFm7Zn1hFzt1LzPQFmC6btahp8VPvP5v66bQh9r9LMTNzzTskvC5FG4O+EgVNCRJ4v5qLbB1hWrfmy6fxMTcBh6nA6/bTa4iH/1sNcrF0/04/SG2Ns3PPZbOUyprDLT6GwrZ5vvMcfXcaaZFiZ3tHSRJQvW3kc/GmZxboq21lfVojHeunOPutJm2uje9wo0zXZTLGu1BP4NdrcysbNHa1sZONkcqu0FrJMSz1V16O1tZ2jTFFGWHA6/Hy/vPVsiXNPraQvS2h8mVIZYpsJk0z3c7kaW7xYciy9waCLIdz7KW1hjpifBoqXahHarMdtZAMyBTMpjaztEXEawlJdwqrP/uLF1fm0EYBi1+F++c7+Nbrp+mNdBYtxFC8LWFGL9wb5VsvshnhgJ896dGnpNBhzezYxBCfAWeK7FZ+JZjH7gJaAoxDA0NvVSF9Dg7BiEEc3NzJJNJRkdHD1zJWzgOMWxsbLC0tMTVq1dfyvrWsQ87iJNIJJicnGRkZOQ5f+qSZvDDvz3DVrpM0K2S1hQUVeFsh5+nGwkcqooGOBWpmk5RZYn+iJuvLcZwqxLJkkJP2FMlBacisbSX40y7t5qLndrOcq2/5blrnq5rMxxq81NCMOQXzOxkqz3y01tpbg51oJSfV8qUKzu1bFHD8PRyacRJIh7jYUXDaHE7jjuW5uqFYcYrcxXJitjcQIuHsFeuXk9JVkjEdvG391LIZrgzertqlvNwYZtrQ50ostxg9QnmDm89YXDtTC8zaztVBdAz3S28N2WmqUbP9zO2EMWhKizuNe5ALg12cG85UXtPDidgXpewR2WlTqK7mGu8BkGvE6gRg2mUZP6txyGzUbfbaQ14UBwOtEKBvA6PtoqAeezRwUjtOEI06C51ug2WBeSKZW6MDHP3UU1WpL2jnQcrjSvlTKHMQLtCbp/MydW+EO9PrwF+Pn67m6/de2ySgzdIOb1LZ8DNbiLD3YlZLp09xeTSFpGAFx2Vh8+mGexuo789wkBvF3dnN9B0g86wj1DQj0aMTC7PN107w/xmjFShjN/r4fJAG3NbCdZ2k/i9LnZSRXxuB6PDnaRyZUqaRqZQZjOVYa1Sz7oy2I4wSlwfMCf2Y5kiN053MbZY21Fc7IvwdMN8fkETeCWNr0yZrdLtARdre2n+zW/cY3S4m7/0ne8w2BFmbjPOX/rpMdZjOWSni9tdTv7BF56ytpfhe//r5x0z39CO4a3Fa+lK2o+jBm5rqAx4YXrnuMe3Zit2dna4c+fOKz/Yo5j1rK2tPVdPqMcXn23zb99d4u7CHilNQZUFumHwbCMBslJ1ZLvaE6SowY2BFs52BPjqQgzNgIs9EVRFavAvvtQd4FpfkESmULW31A3BxFqM5WSZMx3mikZVZXQkwm6F0y1uvIpgYy/NYqJMZ9BNpi7nPb2dYXYrRVe4sbC2W2cfmi/pxJydDJ0+XRXBAyiUNQyXWRh1qzKL0SyjgxFW9nJspwp4es6CtQtzuCirPm5eOM3j9caA92R5h4ImuDrYQXuoloYb6QkTTeV5ML+F2+Xi+uluIn4PmVwRQwgMIbg7tcK1/jCfuNDPbt0wmqrIrNaldzxOlZmtWvAf7gg0dM7Uv1+AXKGxvlA/m9Ubclf/VpIqQnvRDItJjb6Wxntsp25nca4rwF62XK23aIUaSaS12tezqzXE/bUMV880an9JEhRkN+t7aW72BxkIu5EQTK/UZkzur6YZGTZbVJFVkJw8nl5k9PwAQgg2tqJ86sowQsCjuTVuXDzL8uYuZUMwN79Ai8/c0Wwnskws7XC1P0JrKMDv3Z9iZTtm2tAaOu8/XUSUi3zDpUG8LiclTWdtL83dmXW8TontWIKIR+HW6Q5CHie9YQ/LuxkmlqOMzawRiyf45HArQi9zsz/Ejf4gV3qCFMoGnUE3ZzsCfOJ0pGHCPZoukivqFA2ZJ4vb/Kl/8HN849/8Sb77n/xnNmM5FEXhU4O+SkoNPnXhYG2243YlHbc99W3HB6quehhYK+5z587R3t5+6OMfxrGpWCzy+PFj2tvbDy2bcZhzr9dRepl8+O9NRxFaGUlRQZI41xVkaiuFUFRORdwsx3LcGoxULSQ3kgXOReSqbWUsW6LV56rWHoZa3EyuxylqBpe6/ETjtah2qi3AfKxIUTNoDQdo9buZ2ysCDpJp6PHUgp5PbtxZnGtzc39mh8H2ID5XiWyxTEfY37CyBTgdFCxvpwl6XaQq9YWAz8NMNI8iwTuDIR4sxxhbiuFzKqzFcwgU3H0X0XMp9EwcoRXZy3u5dqqde3Nb1e6g22f7uDdvBjeXqnChy4/qcPJosRbwdlN59lJ5Pn2pn/F9tYXVaJKFaJahsI9I0M/kZporpzqrMxsAF3ojPFqvBZl0QaPd50RRTM2j2dVGstrNNhLFRqLWLRPyqJXr7sPpULi3nMAaWyhqtfunI+Biua4BIOBSudnjwdDKPNops7xdWynPbSW4OHyKp3NLDPZ0cX8tw9jsBrfO9TM+v0FZ17k01MOzijHRvTmz9f1Tl4fYzhn4kjHWK7MO/mAIT+cQpVwaR+cZEAZPkxm6z14hFYuyEd0jW3HM204V8HndvD8xxzuXh1ne2KY70sZmPMNuMkNPa5BEOk9LOMC14T5+f3yRK0NdjPS1MbuT4f7cGqlcCYeq0B32kcgVeTizjG4Ipio7vPN97QjDoKc9yEY8y/pempG+VsYWdqpGQaoic2mol4XKPIvhd7G9VyBflrh9vh9D1ymXNaY3E7T6vWSEIC/rJDM6XWEXORx8961uvvePXiNfLPP5L0/y6SYSg71jOOmLyPIrC7jWpLHl9XxYUoDDBW/Lwe3MmTNHks141Y6hWCxW5xOuXr360pvra3NRJFkGScKrwtRmqlpT6Ap5ONXq5f5yvJqrDrkkllJmG/OnzrSymy3hVGU0Q+B1yHQGnFWVT6+j8aNsqQx4lXVBLFsmUjfZG3ZKbNYph4b35WbjcTMnvxxNMdTdikOROd3bqCQb9qg8nF1lK56hK+KvymFcPj9MSRdc6/WTLpSrDnKDrZ6G1lfJ5UPxh5EkidWdGHenVhlqDzDcFaY95GNqvVYXKGo6y/ECJd3g9tmehs9u9FwPX5pYQUgyNytTwZIEve0tpPMl5jbjjE2v4tILqELjUpefsEcFBIW6W+ZUiwe/Q0IrF9nYTdHqlhjurK0GQ14n23UdSS0+ZwNRCK3EzcEWVpIltHKpSgoORWrQYBpoaRy8Qy9xf3aNydVdTkcc7KUaU1+GO4gkSWTrdg8P5je5VnmvqvP5ul6iZDq/6a4gIwOdhHwulhMldElB8YUr109CtAyQcndCz2U2A+fRXEEkh5ut3QQjw6bL4djTebpaI+Tj25zqCHKqu43dbBGHUyXs9/J7D2Y40xXG41DJ6xL+YIhTfT187MIgDo+XzaxBtiwwUJBkFVnoeIwi0/OLTG0mGJvdYH03ycfOdeFzygx3BPFUZiRunu1nYi1hfqZAR8BBMleipBk8WNwlWwa314vHIeMLh8mrPs4O9XP9TC8Xz/RzqcvLJ/ucPHjwgLmZKb7tQjvZbPbAWPQm5xjeRjRlx3DSIbB6w57R0dEjf0CyLL+QGCzC2dzc5ObNmw3dQYfBy0jnZfWE/Yhli+wkslDxI464YTMnAxJhj8r0dop4rky7vzZsNdIdpqTrlDWDzVSRRL7MmXYvV3v8bMSzTG/XVru54r60R7mRzOrbKs90BrhfV5BN1DXjhz0Ky3XDXpOre1zsiRDPNe4qzoRl3tswX2NmfY+RvlY2Yhm8vgAXpTL3l2J016WA9hOXtrOArDoRsoIW30D1m/pHkiTxDdeGWY2lyRRq7+liX2t1RXymuxVJGKiyxL1Z0/EhkS3wYKHAtTM9+D0uvjq92fB65/vb+VqdNMjprjCpVIrTIYVUvkSLW2JsoVbPyBTKJPIlhtoDrMYyDLQFmdio7SAG2kMkNs0gfqHLx2KyQDxfACTcDhUwr7dZP6r9XbYu/3Shw8P4/Dq6IciXNLo9gmc0Yn4rwWfu3OBrs9sNv78/t8k3XT/LewvRht93tQSYquwgoukCUeATwwNs7yVI5uo6gSSzM8yCnolj6DqSw4WkFXk0t8bolQvMr6yiur1cOHuaVC6P0+PiYWXXJksSt0ZOkczmKKg+Juv8Mq6e6UV3BVGcoABBh0EqvotflYklCrQEfeRyMW4MnUaRZbRcmkReRwhBX8hBdyRCLpfkZpeDQrFIWyRMtqTTHnCRypfpjvgIe1XGF9Y5N9DF5LZ5z6byZQJuldl4jI+daeebRi8D5oBpLBZjYWGBfD5PIBCgtbWVSCRSHcC1dww1fCCppJchm80yPj5Of3//sYfKXjT5rOs6k5OTxyYcePGOYW1tjdXVVW7cuIHX6z3gL2swDMHf+MWHyKpKyOPgbKePidU4F7pDPN1Mc6U3yB/Mml0ZYVUnpUjcGAgzs50ili1xqSfE/G6WS11+nq7ukSvpXOoJMblpBgAJ0aAk6lTlBjnn7pCbpTq/hWSdcmjE42gYgjvd4uLuTuOKKpYt4ZDLtLidxAqmZEIy05hWmlrb49xgD1+ZM99Hb9hTp0gqWI3Vni8huHS6F8Xl4/HTKYy6vPqdkX6+9NTskjnXFURIKj6Xo0oKAPNbcVr9Hs73RvDupRosKJ2qwsP5Te4Md/JkZZd8Sae7xc/4WqO0RGs42ECOQW+NxNyqzOxWkqJmVNzXBO1BD13ZMk5VJuhx0OJ3M9wusZstoSpyVasKYCtbu1+MUu26t/kdOBWFW4MRJtaT5NLJhvmMdCrJnbO93N3nX2DIKj638zmrzVRJcHmgg6WdJLGM+ToDXW1E61JgXqfCg8Uomm5wfbiPfDbNXrZMQrgbxmmN1E51gSe7fFzscON0Oejt7uLB7Bp+j4uLp7q5N/GMW1dGuL+wgyEE92dXuXnlEk6HSkfIy04yR8jnZjOtNewQe8I+et1l5ir6WrFUFlmSMHQNoQkcioxP0dlIlmgP+Uhmskwu79DTEqCzvYW7s5tki2UuD7TR4Xewk8qxsGGSYt5oDGNnu8wU5h+7WWv5dbvd9PT00NPTg2EYpNNp9vb2WF0177V8Pk8mkyEUCh16oXvSrqS3GR/ojmF/2+fW1hYLCwtcvnz5REWcg4J3Lpfj8ePH9PX1nUiraf9u5LD1hHr8tV94yJdndumJeNnNFMnlFZAVimWdW/3Bas2g0wM+r4dgqYhhmPIWYAa7kQ4ffketzbLeeexUq5eFzdoE8NmuEE/rfAdCDoGVge8IOJmrI42hNi+xTB6nItMV9pBIPS8CNtgR4e7cNg6ljN+p0BN0MhUtc763len12iqxpb2T5XXzvfTUEcOFrgB+l0Jvi5/7i1FGB4I82XKiZQzafA62XB68pTjdp4Z5tFxrW5zZStEZ8hLyOBhoC7JSncwWdLf4+OrUGhG/m9H+du7PbXC+p5VHC1uUdYP3p9do8bu5OtxJEZXtur75zrCf8TqV2qGOAHM7tfc93Onf12cvsRzLsVU3ANhTlKpzB92+2j19pt3HfGXHJSGI5gQXO9wYuoYsCR6vmzWO650uHs3VdigBt8qjuXXKusHouR7GKjuhm6e7+OqTeUZHBrg3X3v+mZ5WnqzsohsCj1PlQl8rMxtxFmONtbZzHX4eVjq7xittvN9woYfNdJn5xSVKZR3J7cOo/27KCoubu2grG/hcDnxuB5l8kbvPlrg6PMDdx0/5+PWL3J3f4WPXLnC/0mqqKjLD3S20dXSwtJfjbDhA2KOSTiaYePoMQwhOdbUQKZdZiyYwhCArnOwkc5xq95LLpugMOJBFGZckM9ITZn59l1Q6zfneToThYDtbolA2GO4K0R704vN6uL9eu5+7Qm4ersQ40xHgs5cPNumSZZlQKFQdZC2Xy4yNjbG5ucn09HTV8rO1tfWllp8fVb9n+IBqDPC8Oc3U1BQbGxuMjo6euLK/P90TjUZ5+PAhFy5cOLGAn6Io1fO2pru9Xu8r6wkW1uNZfvXBMrJksBbP0RVwktfhVBDmo2lKusFqPE+fX6Yr4ufRWop8WaumA9yqjGboYGg8qgSzsNfBZjLH7YEQLT7Hc0NkXnfjzWw4TEMaMC0/ASJeU7Lb71YZPdPOma4QDkWiJeAhXD/k5XczsWoGybJukMqX8frM7fNeSa3WFrpaAoxvmAHR71LIFss4FYnbg2E6gi4erKZ4sJrkG0a6mNgukC/rnGt14ZF1gm3dJFaniYgULqm2glYkibDPxb35Ldb20tw+00V7yMM7Z3uYWDaDXTxT4N7cJlcGOwn6GqWfY5kCAonplS1uD7Yw2Gp2WfV2RBqe1+pvTC+61MavRXvAzUKdpMZQe6BKCgDFujVJi89JyKNysz/Ep4dbKWiCpzsFpvY0Epp5rSQE+Z0lBp21Y55t81TP6d7sBud7zdRkLm8S/NjUClcGa3U3XXZWZVDyJY2dZJ7b554vrOb3pRgdssTkWoKZ9T10ZwDFF0ZPbD+3uEuXBOeGz7CXynGqvfb9jKVzSBJ87dFTvunKIE/rXPQ03aCtrYV7SzF20wXmtlM8XU/gUWW62015nKWtGDvJHDfP9nF1uI9na3vspfPcX9hhPlYkEAyiyhIPZ5Yo5PMEvS52k1nuPl2gZEhsJnLEswXG5reZXI+xmylwvS/Itb4gN/qCpryJgP/+M2cPvWB1OBw4HA4uXLjAnTt3OHXqVDW9PTY2xuzsLLFY7LmshN2V1IwXqqR7yuUy4+PjtLW1cf78+aaI1FnHtmS4Y7EYt2/fPrbBdz0sQjtKPcFCsazzZ3/sKwhZxuNyMtLpp6QZRPMChDB1ZfI5LrY6EIqTx2smGVzoDjK2FENCcHswzKOVOBd7QpztVMgWNXrDTu7OR9nYSxP2OnGrPm6fbkc3BGt7maqrmwT0RNyE3CqzW0lUWcLrkPG5HCQKOu5MmfG12hf7VreLu3O79ER8BDxOVnfTnO4KN6xUkWC1YvsZz5W4cqqfybllgt1DxGMFAk6JQb/gyXoSCZhcTyBkGV0Ihlo8/MHMTjXF4CjE2d7aRAS70QV86fd/D0+4nZuXR4jhp7u9lbuzZgrJEIJ781tcHWwHBGGfu6qd5FRlciWN8eUo5/vaUWR4uhLlzvk+7lZSUFZ65lMXB9CMEiOdPhb38siSxLPNVN3bE1VnOwtDnWF269JOHWEfy0nzurX7HSzGStW/dcoSQjd4sBznxkC4WlO40B3gWaU19mqrzP0HmxiGQUt3gETRILpTu8ZCmKKFw90Rni6uVX+/shllsD1IrqSzEm08x710ntOGIJ1McL6ng+mdDO1+F9N1O0mA4XYvz3YatYeErpny3lKdaq0nwOO5VT52/RLvPZzgnavnuTu1wlo0yZUzA5R1gz8YX6CnNUQ41MJmsmi2Ayca010XO9y8P7VC0OvmTG8n8+vblDQdVBelksbZ7hZmN81rG/F7eLaVoTvsxet282x5C7dT5c65AZa242SEE2sWBODGUJcp8b5tXouuiB9N9fNNF3r4zmvHWxBalp+W7aeu68TjcXZ3d5mfn8fpdJJKpQgGg2Sz2VemkV/yOv8W+MPAjhDicuV3b9ygx8IHMscA5sp7d3eX+/fvc+bMGU6fPt1UQx1N03j48CGapnHr1q2mkAKY5x2NRnn27Bk3btxoIIVcofjSbqvv+8JD1pIF3LLEjV4/ugFut4tOn8JOXtDnl4hmdJ7uFNArxwm6ZCQEZ9u9XOsN8WQtwbWBCHdXUkxsZVlOFFnYSVWNcFRZ4itzu9xfjvNoNYHb5cSnmEY9PreL3rCfscU9hDBXwg+WE2RLOkJAb7jW0eJxyExXOoE24llieYNPXehjcbsxAF3obSGaqgWWJ6txPnXjErGcxq2BMEG3k9WM+bkKoD8gVxVHvQ6pIe+8tjBDOr5Hh1fC39aNJEkUMmnefzRJq2pKMZytM9/pifhYjiZ4f2aDkqbzzrkegl4nVwY7masEwJmNGM/WYnzm8hC6QdVBDaAz7GNiJcp7z1aYmFuhlN7jzkCQkXY3I50+2v1OLnSHqsq1YN7bG8na+5UlWK6r15xq83Om3cutviB3BsK8O7drTjenNnm8VCsYL89Ooxcy+NIrrC3OUNZ0dEMw3OLA65RZ3ycFsrAVp93XOL+TyBaIxhJcPf18iuR0V4Qnq3sUyzpza9uMDoS41PO85pfqatwdtfldyEKDchFRl46VZAXJ0HmytEVbJMSDp3NcGOjiwqkeNBQymoxuCFajCbZWlzkXFFzti9DpNjjbbgbLiNfB43mTkFO5InFNYbivkxvnBnm0vMfMZpLZjT1unukGCXrbwsQzBZ6uxZD8LVw5d4pCSSNbKFESEi1OnU7LF0SC3UzjUN9gVxuJfJlvuNCNU21OMkRRFNra2jh37hyjo6OcO3eO3d1dvu/7vo+1tTW+53u+h1/+5V8mmUy++mCN+Eng2/f97o0b9Fj4QFJJQgjy+TxLS0vcunXr0CvuwyKfz5NKpaoy3M2yCzT+/+z9d5hkeVrfC37OCe+9y4hIbyuzKquyMqu6e3ocw3AFFxjcDAxICHQRaCSuQPeBvRKPtCsEWqHLs8vKsrsSCK5AYrnIoAGBkAbGd1dlZVVmpfcuMsN7b8/+cSLDZHbPdPdUzwy6vM/TT1eeiDhx4pjf677v99tqEY1GyefzPHjwoC86+N1He/zVf/q7/Np/WX5D5/CfHh/wyeeXtKplAiaRREliN1qUIzOphVvdRKNWky43uO23UKnJ/YYZr4lHR0mUgoDYaiDUy+z29AvuDugJ9eDgh5zGvsXWqGxxmGmwl5Afms2LTOe1KZ+FSg+pXrbcLTPMurXkepqb5VqDar2OXiPis+npMP9ec+aCAJclKFXqPDlJ4bPpyPTstyJo8JjULPg0lEtFpuwK3AYFAYuGo8MDrHY7pkYGq1cethJadRbv3uF5pMTqYZjd0zDTXiN3hhwoFSLZNl9/qVrn0d4lc4NulAqxr/w15rXx5DDM06MIDrOOBxMDBJ0mtGpVH9+/KIhsnCdY3guxdXxBNBbDrJZ4MGxnxmdBKQrMDzq46GGgnR6wEivUZOdtE8mXqhxEcqycpkikMzSyUVm2NROnHJcXRZcOEhfHmHPH5GKXZPLd6/d8/4Q5r4F64ybA4SRZ7HBDXVmpWmMvVmDUZ2fMa+tsd5j1VNvBwlWP5TCaZX7Ijdckn5ug04RWb+DeuB9Ve+EcNAm0JAlUGoRmz0LbatKslihX68xNjWLUa9GoRNK5AtsnFwjNGrZ2Ca7WaLJ3HuUiX+PZcZSdkwsmTE2GDM0+Jb9cqUpN1KJSdR2eJMHqYZiXZka4LInMTQzz4NYY925NYPcN8aHFGRQKkWyxwpOdU2LhCxb8Bl4a83J+TdgoXmxi1av4yN03nlV4M3urA6wAOp2O7/zO7+STn/wkfr+fH/iBH2BlZYU/9+f+HBsbG19+B22TJOmzQOra5q+5QM+VveulpEajwfr6OpIkMT09/cJEb64sHA5zfHyMTqfr0HC/CLsahtNoNFgslk4/oVJvcJkq8L/8q0/RbEl8ei/BP/7PK7RaAnqNErPRgFmv4nkoh6Q24DbpEHVGtsI5Ho7YCSXyKGiiUSjYT5QJWHWolQLnqQLpopJSpYJdo8SobPLoMMpMwMluu1ShVgg8v0Y+dt0nNRQ6rsTnp7zGPuRNo0eVbNSpx6CSobKZcoOLRKZvP16LjtXjWKfuPeO347IY+h50gAczIzxp0zRYdKoONNOuV+GzagmlSmTLdYIWG4epbvYx7VFx+0PfTaKp5XTldxkOGjjXGJBqFcKxBA2p29Tbv0gyGfSiEkXujXhZO4nQkuD+mI8vtmkwNCoFi+Neao0m58lCB+0Ty5bIl6sMu63o1Eq0ahu7bW3iu2M+lnvKZAGHkceHsU7tXqcUoVnn/qAZEYFKvY7QKLPgN/F8Y5PVrVMUJicq+wAjfi/bB3s080l0KrUcLFTyzLk0HB/uAhBPyVHl1JCV9XaPpFipoRFbHU6uK5v0O9gLZ7g95CWWPexeN5+D0zaRn0Gj4uGUn83TKDvX6McnBuwcJoqcp4qIAiyNe6kpDTxr8yzdmxxm6/CMrb3uvlGokJoNGcbarKNWKLgz5uOzq3ssTQ3yePOQIZ8Tk07DeSzFWMBDvammUK6xeHeWJz3Dg4cJucxya9BNuVziOF5AIYBaqrKyG+bOsJtQukKqWEWnUVFsKkgVC6SKVexGLeWkrMutVphZ8DlY1OpJpDOcxnMU6hJ7h/tMBz3o9DqehbJMBlwcpUp8bGmwD5jxVqzVar0jxKIgCLzvfe/jfe97Hz//8z//tj//BvY1F+i5snfVMVyR1I2MjJDP59+WZ/5y1mq12Nvbo1QqsbS0xPLy8gvbd28/oVarUS53I8Z//alVPvX8pBNAD7ksJIt1So0m+TJEy0WsVitNtdygdVqN7MaKTHkMHEbSqBQCyUoLr0HJvYAFpULokLzNDVg4jzU4TeRJZNsTqwYDtBfUYbuWnVA3StKpFOxFuoutw6jhqIcbqNRDc2E3qNkKy/uUWk1MaomnJ3GsejXvHbPxaOes7xz4rVouE93FZj+cIZotkylVWRz1cJYsUqw12LjsaaB6jDw5SWPXq5nxmfjCgQwnVCkEdsP9JakWAudVOUjwBIcppEMomxUagsDZwQ4vPbhPHgOnmSpzI37WTroLuM9mZDroYKUHwlqtNzmKZNBqVDhNOsa8NnZCCar1JiNuK1vnXbTTiMfKqNfG4+N+J2s3G7nIpmg1ajRLWdRCnUeXh2i84/K1aGRJZwsoHQFqMRk11MwnaOYTJGpJhIo8x0C+W0J6+nQFp7m/fKPvoVAPOC18ZuuSpakgj3uugRyNZ1g/jfPg1iiPt45QKkQEvQ2K8rksVus8PojwcNjKo9P+82s16iEh37ctCc6SJZI9fB/bkSKzPjOfP+0pYQkiYquKhJJWo0ZLgla9iijA8u4Z92dGWNk+ZmZ4gMNwnMNQlMlBL5oBDxvh/uh9Juhi4yLLTnvAcXEySDmX5vmRfN7WjqPo1UrujQwgGGw8P+9B1Q04WG47mVqzRVOpY7OgxW728w3j4zw6ziCpdOwkqrSKEebHfDhMKuKlOu+d7B/EfCv2TmYYWq3WC9eu7zVJkiRBEL7qAj1X9q71GC4vL1lfX+fOnTv4fL4XJqYDcjS/srKCSqXi3r17qFSqL/+ht2hXfEdX/YTe4147CvNL//7zfHHjiGGbmruDDkb9nj5Bc61aRa4HpqLVqLk7YEDVLOMyqSk04OGIk9NMnf1Ynv1YHgGJl0cdtKQWoVT3ARME+qibzddEY2b91r6BqTGPpZNBuE3qDrIJYNxjQiHCjFfPhEvLs1PZGWVKNQq1FkaLnQfTstziiNPYiWiv7M6wi3RR1v59chilVKlyf9xPpdFiccTO3UFZmnTSrcdnUfOkZ9hpwm0i1zOsJgDJqvwgzqmi+L0urFY7LUlCarWQpBaPVzfZXVtmcdSDIMi9lCtzmnV8fuuMVkviwYSPoNOMWa/GYtBymSqwH07z5CCMJEm8PO1HqRD7Pu+26PnU2jH1cok7fjMLQ3beM+XvsLI2ixlaxTT5fB6pXqVZLlCLHZO4PKNVLVA92+hoFlxZ/DJEvVKS+ySVnnIVEpmGyNBAF1FULHdfN5rlPsD6aYKJAWdne+9w33ooze2xIIuzE5xcazpPeC28thfhlkuLsv0TTVpVH8MswLCvv3zrUNVRVG72NSVRhSS1aNVrIAgcnYaYG/aiUoisHlxwf2aU7ZNLJgMedGoVZqOBaqVMwNLfDxEV/TFnqljHcG0YrFRrUCkVyecyfdvD1zQvEvkKLQkSpSZn2RYGrYo744M4m3E+8mAcaiX01PjItJH3Tb51xoQreyeOoVQqfcUiPW9gX3OBnit7YRnDVSp8BUWt1Wo8ePCgo53wolTc3gmX0luxq+Ou1+t98wlXqKQ/fLLHT/3LP6DQJlLbv0zid8NWycjdWxPkczlOwjGMZgvlWhO/TYfDpCGSSmPSiCjUOow6LaaqwJOTFBIw4dYjIaJym0iX6xi1ShbHB3hyIEdVw24rFrMWu16FWatERf/5i6S62HtRFAhlKtj1auxGFQGrjkG7jlKtidSSOItn5cynqe7LMrxWHeuhLI2WRKpYQ6lQ49LWUAsSgz4re+EM0D8UB/LClW8IPBix8/gkxb2ghf32JPbSiLND1QFg0FxT7/JaOEg3aBVTPDleY9aj5SicQpJAqYBGS6DVavLS+7+Rx+1syqJTMewyo1IpeX4ap95oUW/UeLx3idWoZcovL6rpQoVMqYpKITDus/PZTXmAyWrQMOGzY9Sq+PT6KSCXBVePIixODPCFzWOsBg0em5H1SK5ToxMEgWYhRataRFCqkWplEG8uIhISovIm2ePssIf1cIEBr5fT9kDWQSiOXqPBYTaw374WlXqDeKHKkMdKsVzrmw+p1ptsXmZ56babgLNBKNG97lqF7A02Qinujnq5zFRwGNXsp/uDsGzP5RvQNbl8/jkuJAmroauMJ/9gEbFeptmsgyBQqNQQaTHpd3AQTnMSTfLBpVnK1TqTQwOcx7PEs0UU4QSLs5M8j9Wwm3RsXhsotOkVPD4Is3RrhOWtY/k47CZ2owX02iqjHjdivYTOYEDQKXGZ7RSrDaq1OtFsiaUxN6Vak2a9xkW6yf/6kUWWxr4ZSZJ4ffOQl+fGb5z7t2rvlA7jXXAMVwI9v8DXSKDnyl5o87lcLrO8vIxer2d+fr5PUOdFZAxXamhvxqX0TgR1oDufoNPpbswnXB33p9bPOkRxVzYUlJtcG5d5ck0Vi1PDJLNFlDTRKgUqlTqNFtQELfm6yPJxGr9Vh0ohshQ0sBfJcRjNsHySQqMUyFcaPDnPYzBZcTmc+J1WVs9S7IazRLNFXtuPcTdoYyFoZcKuxmUzsTTm5sGYm/dP+ShUGySLFY7jedYvMjw5SbN1mUOvFglnZGK7o0T/AFvQbupIhooCTBrqrB1HyZaqXCayBB1GZoMOjqL9qIvZES/PL3I8PkmhFOk0PoE+VA/QGdS7MoNeSzV+CtFd6o0mSq0BlUrF5Mhgez2WsOg1fdoH2XKdeqvF89M4fquOmQELaqWI26LHpNOwvH/J8v4lhXKV+SEXr94a7FA7A52m9Z+sn2I36Via8HF7yMVLU36eHEZpSRKZpprNowukVv99KtWKMpRTaju7VvOGCq+g1MiO4ZrTuHIWe9E8GrWc2ZZrdW4PuRhw2fremy1VyVdbTAZdnWtyZUNeO8uHMRqSkoBD7r8MOU08P+mSB64eRSgW8xj1eu4N2tAquzxcB/EeSvBmklyxTL5UYdJn7fsev9OC06jtgAyaKDg+vUCvVnJn2E2t1uDTT3cBgbWDc6RmgxGvg2ZL4tH6Lj5lgXGPtdOnAVArRLbPZae4epbhwdwkogA+h4WWJFEo19g7CbFzkUJrdbMVr7F2WeQgWcWoBElUsHySRquA7csMr055WRqTn39BEL4ipwBfG54kQRD+LfAaMCUIQkgQhP+JrwOBnit7YRlDIpFgZ2eHW7dudbSe+75IqaRarb7BJ7+8NZtNtre3abVabzptfLWAX1d3+3J2lYFMTU3hdDpvvC6KIqVqnT/YiuP0DxMwwOreCQANhRYoolIIaFtlVg6TzI96MGjU7IczOPUKfC4rEiLPzjLM+c1IUhOp1eA8K1CoScz6TBSqdQ5iecp1+WEq1pqYdao+gRmPQc2pBKtncvq/OOLkac/E54TbSK6NBprzW1lrD8MNO7TQqHJ/QIdSreVRzz5NGlUfhn/aqWFtp4ubz5drWA1avFYjLUlkpyeKVWsNQB6lKPDKmJ3TRAG3SYNRo0QU5H5HslDFqldx3EO5YdQoebZ9QDMboVaQj7ElqpkI+mg06jQPT/C67EQSWUznW8zPTFBVGTCabawdx2i0JE7afZQhhx69SqTWbKEQoCmBTqOk2mjyJ89PEAWBqQEbVqMWlULB59tUG8l8mVShwtKEj2fHUWaDdootFaFck2bmEpTXoM6SBIKI1Kt5IAp9nX+FXh50ujPq4/mBfA51GhXbnYyryv2ZcR6tyWxIT3ZOuTc7xXXTKBWcpcp4rEaime71HXDYCOUSRLMl9GolD6aC0KhwfNn/+QGnlZXjq96OyMKoF5XBgrlUx6ySqFQr1Hv0rndPQqiU6g4qymc3kRYlwjF5H4IgYNBp2Dk8xWQ24rNoCUsSr28c8HB2jMfbRxQrVW6P+Fg/DuO2WVh+tsbCzASr0SotCWYGzDw7kH9LS5JYOY4xOxogku2H6CoVIkeZnqxYkoiWmpTrLbQK2DiLY9er+F+/afwdLeZvZu/UMXwlPEmSJH38TV76mgr0XNkLcwzZbPZLDpW904yhXC6ztrbGwMAAwWDwTRs+78QxvBW+I1EU+fxhmnKtSbnWRKPUolIqUKuUKJVKloZtGNUihUqNikKHVqPm0XGSe34jh+kGXk2Ls2SBV0ZtbFxkyJbr3B92sNIWpbGbtESKDUZcZjYuulG5Saxz2X5YBSQOrw1d5eo9CBa3sZ9Qr9ZkxKrAp5NYP4+w3xb9efX2KHeHnMRyJbQqJQGbgc+1uY0GrFq03HTc6UKF9VCGdLHK4riXZ0dRbCY929ECYw4deqXEZ3e6zdbBYQdPTtMIApi1KkYsCopGIzVJgUalwG/V8tnXzxjyOTnal53USTQNlTwDLhsOm4VIPIXTP0wyFuPx2hbvefkBZ5EkCyMu0qUq++E0kwMOopkip20nYdQoGXEYEATYj2YAeRG6SOYRBdg6T+B3mPA7TJSqDbQqVWd4buMsicrqpZlrR9+thqxb0GMC1zLSVlPODiQJn9NOvCZH5+snMRangjzZPWcq6Ob5Zfe6nGdraNQqavUGU0EP8WgEvUpHqSfb8rutrBxG8VoNDNhNXKbyKBUihz1cWKVag6NoFq3YZCrg4DiSkYfGQNbjbmtv15st1k+ijA8qOIrmaLYkjBqRXLTEwtwUTzd2SeWKzAyb2YvJ51FqtTi4iOOyWzooqtNwjJfnZzgLx0nXGrjNBhAEHm0esjA1zGkkiUYp8g33JvmT5ycAvL66xaDHTmDAS75y875qISCotdyfcnAaSZDIFpmdGGG3KDsGi1bBHb+FXKXOkEtAp1KQLNb4HyaM1Et5nj49R61Wd6gr3umgGbxz9bb/Xgn04AU6hvHx8Reu4pZMJr9kFtJrb1es5436CW9khWqTf/2km67HchXuTo1gsLl57TiFRimiUigoVBtMewykMjnm/WZWw0VUooDHrCFfKnOZkWGbc34ztUaTcZcRo1bBZjhPulRnzNlbr5TINZXQ7in4DGIPIR14zNoOHw+AKEKzlEXQGpl06TDVMzzePUQaCnaU4ADSNQV77fKMKNRRKGsMOQx4zFp2IjnOi3XujvlZPeySuA36XOxcZgB4cpTgwZiPhiCSKtZIZHJMDnS1hgHK7WE2SYJcpU6xpWGvjY4RBXBqBaxqOI9nGB8c4ODsklSuiMNiJlVucnd2hlwux1q4hDcQxOd2deCwsbbs5iszQZotEAUD+bIclbqtRsKFGolcWVa9s+uxaRXUWnQQSRfJPLlSlYDTwtZ5nDtDLqr1Fnsn50iSRC3TdnCtptxP6L2fBQFBpUGqdxc5lQiDHic2u534WbeRu3uRxmc3obgGiohlSzyYm6KSS7OyJyOQbo8FOM6JVBstpgMOnh7JxxDJFHGYtAx5rLisZp6d95fyRp1GHu3JmYnToEOSWtQbLXbb1+rKxgcc7IS7n52wa3gclsi3NJ2+4FW2oFEp2D2RUxCf095xDGq1mvWDMwa9TkRR4DicYNDrwm42oFYpCbjtbJ/IZbyHc+OsHMilubNoCpfNTDpXIWAzdvSyh50GdiKywwynS4x6LBQrNbQmGxTLaJUCU14LnzuUz6mAhMOgJlGs8st//j7u9pBbuVwmlUpxcHBApVLBYrF0GFPfzkL/Z8yqN+2rRonxdhZuSZI4Pj4mkUi8ZWqLt7r/XrGemZmZLws5+3dPTvpoqQEaKgOvHbchpn4rK6dpBq0aCsUisaKEW5CYGzAjCvDZnTAPRhzUG02GLArKtRaHbWTJ4qiLdKlLL3Flkx4Tu5FupGlWQS/fpk0nEK/I0euoU8/meYJmIYWiEOckLVCq1rk/NdS3mNhMOg56nMktn5n1iww2vYqzdJp7Awae7KeI5uDhrRGe7p0xO+jhec+AHECx3mSrXR4RRaFPOtNhULPb09h2GdUcJLpli3GHlseHMaqZApIENocDzuSFKOgfYOsoxMWTDR7cuw2UyOl8GItZFj0mJFHBblFHo9Hgs093QACFRo9eCfcmh6hLAtGM/PsaLQmNRsNRqkChUsdrNWDXKag1WtRaMhMsyJBJqVaiVS0hJs+h0cPSqhA6HEg6rYZyvYnVaKBREToSqc1mC4/dzE7PeQUoVGoEnQ7OrgkbAZxnKvh6uKzWD0P4nVa8AR8tlapvLiWZr4BRy4Ci/x41apVsnnUBK4lijVGPFafF0DeXAaDWarmSHwUoFuTrcxrPsnhnhuW1LQ5CUeYmx1Br1KzuyI1helBFoiAQ9DhoInBwHmV+cphoOo/VZGTt4JxKrc6Y340mX+TRxgG3x4OcxgtUGy1SpRoXiSx6TYmFsSBPT1OormkuH0WzvHprjFgNbHolo3Ztx3EATHlNbIdz3B+ydZwCyMNmfr8fv99Pq9Uim82STCY5Pj5GqVTicDg62cSXes7/TIvhpr2w5vOXW2DfasbQaDRYXV2lWq2+Lb6jt+IYstksT548YXR09C2J9UiSxB8+DyEIMOG1ArIA/FUN2qpXkS5WuevVUixXCOUavDzuRCk00SgFsqUq7x23s34aZeUogt2k57BNxhaw61ltL9xeswaFAE6j3Ki06FTM+S3cC1qYtCswaJTcC1qYHTCjVysR1UbmB4xMOdRYKBO0ahkdG0evVnZ0GZKl/nMxOuDqk61UthebdKmOJEE2313EnpykcDqdCNciXodJS7XZPWe3g442LbVsY25zX9N02GWmJYHUbGJUSOxdpvEYlZ2huWdHUR7O3wKgUIOmSs/Y+CTLJykURidKu5/TaIZERWA1q6fUFKmrjKjsPhSSjFBRihJfeL7P8t4F1XqdKZ+V90z7aUkSuWxGnl7PlilLCmL5CrFcmRGnnqBFjVJq0qrKjk1o9PMHVcolJgNyz2luxAfIlBSz410q54WpYV4/iDHsNGDQXCMyVIKhVSZo62aCaqUCk0rgyXGC2xPd/VwkMlyGI5RKZWYGupmxWafCrZP44uq23CNqQ25nfJYOOq5zbcwGWgjMDjoZ9cgQWJfFwGZPeVKrFNi76M5zJCoiaqUCQRBQSHXoeX6OImk07d+kUmvQCBL7Z2Gmgh5Wto/w2kxsHp4z6rGiUSk5vIih02rw2C2sH5wz7bdxf3qYk4gc9ZeqdZa3jpj36shV+u9NlVIk1dIRThdo1OtIgtgReIL2oCHw4Zk3n1EQRRGbzcb4+DhLS0vMzMygVCo5OjpieXmZnZ0d4vH4G65BX4sew9e7fV1lDIVCgefPnzM8PMzAwBtT5r7T/b8d/YQr++1HR9RbImNOPUeJEpM+K+mGkq1wDptOxYzHyOOjOOMOHYMuC7c0Cj69HeY94y6S+TLlao39cJlitYFZp+6jRB5xmXCa6ggIaJQirx/JUaxZqyRRrHOckBesex41y4fdUtZ7bg3x2rH8sE269eQFHUa9xG60wEhwCBEJo1gHlZazHsoAlVoLyH+rFf3EccM2DfsX/ZGm325iL5pn2GXmJJ7DY9UTdNtotCQCdgOhVJFyo9+xnvZ8n8+iYzWUQUBCp2x1tAQcWuiZtWUvmuf+7CTHyTIgcFpSoNCZQaFCVKrRTTzkQqVFoReoZ6IIgKjWIdj8tOLHFAUDUksmJaw3WmTzRXZOw7LojCjgMyoZDfpYO7wgG7sEUcFeSoHQAyuyGHXkCiWCbivnsUxnuyA1CbqsLO+dI3cZ4PlxFK/DQiSZJd1e4FYPL3GY9UyPelg9iTHtt/Fk9xRJApO+yJjPx2G8wPyQk0ebRwBkKmDUaSi0ZxqGB4MsH8UQBHgwGeDxYYwJp5bl9tDbo60jTHoNUwNOCsWbmUiu2mC/nckpRYG5QScavaEDVgAYc2hZjXWfkYtUnqWFu5QzcYqFPGZzN04sV+vcGRvm2dY+olLFWTjMeMDH1mmEW8N+nmwfMTvsY+PgjImgh2i+SiiWYmrQy1jAzRfXD7GbDUz4vJ3jAlDpDBRTKe6Pelhpl80Wb03wpD24Wak3aV2LV88zZRSCwIenXdTrcuAjiiKCILwp/c11/YVcLkcymeT09BRRFHE4HNjtdoxG4zt2DD6f72195k+TfVXZVb9UxhCNRjk8POT27dvvKEV7M8fQO1extLT0lpvTzVaLX/n0Lkc9PP1Oq5FGvsGoU48gtXh6HONuwMxpus6AtkWu3OSVMSevHcQYdZuI5OuMuIwsOc2YNCoK1QYIoFer+eyejPoYsGr7xOEnvBaetjMJhSCL0lyZRafulIdeGjZTbgqshTIY1PJvOs7Ji51DJZAo5hlxGjpaD6keIZkxl4GtHsfg1Cs4uvb7c9UmpVoT0azDadYxE/Tw2X35mNVKkffPBCg3mswOyFKMzUaNagO8VhtKhYhZqyBTrKJXQaVUIlZUcpau0Kz0L2r5cpVYSc1gYID13e5R3B4fZL8sO4Er61UcEzR6lLYBGsUMCALKWp65sQBH0YwMN237rHS+wOeWV5EaNblZ3KwjqtQyo2jbbEYt2UIJq8nU5xh2TiN8w/1bHTZZkKGmXrudJbedlZ4hvmSuRDJ3wgfuTbNxcNIpCeVLVcRIhBGPh4tYFxF2mcozFQxyHgoxPTrU0aGQJHi0G+KVmSBSs4nNqCddKHX21UJkO17l4cwQy7vykN+Yz963+DZaEpepApNaJff9ekK5BtF8DaHenxUBnKbKqPN5Dk7OcNrMqJX6TiNbrZYz40K5yrjDQrVSZjzgJpRI43fb2TqNMD8xzNrBOeN+F8MeK2eJPIlcmUGPnbNoimL5lMmAl714Ga/DzPPTONV6k5WDC+ZHfaydxLnId6+FIMB5D2rKa9YQzpa5NWDGZzd2ZqWunvWr/ysUijd1EqIoYrVasVqtANRqNZLJJGdnZxQK3WtrsVje8rDsn/UY3qJ9ubLMmymhSZLE/v4++XyepaWldzzF/EaO4e32E3rtX31mr88pgNyIPo5lcehs5AsFZnwWVs5zzAdt5CsNEoUqPpuRgMPYaQ4fxwvoBsysHIeRJFCIAmZT94bymHVcthvLggBnyTxIEpMuLeVigZO47DTsRi1jfhcrZ1kWAmaenOdptCQG7XrOeur8bpOaSDvbOC0IzA+7iWSK7YhcNp1aZnBdHLbTarUoFwtM+SzshbNIwGzQzlYbTXPSRsOke4jxao0W0VyZ3XZTUxRlOgm5fFVj2K6lUGzgMSh5beOEcq2BIMB7Zob44rP1G+fabTOxHkpxb3KQZ+2mrNlshp7v9FvUnJX6b1dRZ5IVwKpF6pLA0/0QgiAiKJRXfoFqQ5IbxoIAbWcg9ZS7BhxmTiLygr11nmA86OmojImCwMllRC7R9SitHUdSBBdmGfYJnIS7pRmlQmQnVmJwaJjM5jaNdsksW6wwqYaGWkconum8f/ciyb2xEdKVZp8+BECl1uDZcQyrwcC4xcjBRQylKBAti0CT5aM4M8MDROJprEYdJPod7pjbyGtbp52/Fyf8hBPXOdtkepCCUQ0nZyTSOV66N8iTQ/n374ZiaNQqqrU6FrOZy3gKt0ODzWSgWK3jsJoxGvR86MEdHu2cYG6J6NQqopkCtboan91EOJVn+zjE+xZuESqJVIttWhYJjsIpPnhnmNOCxC27IEt8qozsxPuBFuFsmYVBW2fhVygUqFQqWq1Wx0lc/QdfPptQq9X4fD58Ph+SJLG+vk61WuX58+cAHaSTyWR60zXjz3oML8je6ATXajVWVlYQRZGFhYWviNriumN4u/2E6/abXzjo+3thxEkkW+bhkIXV8zQVVAgKJXeCdgwaDR6rgXwNTlMlLtLdhdqoURBOFTsR5FzQQaYkL3hKUWCnt6RjVVFrwKRTg1mjpNZGi0z77cwNeVg5y3LHZ0CpEDq1fLepn5RwwNzfkznO1JifGGJxyMKc14DHIJJM5wiYFCwfJ8kXSqyfxdm5SLE4ItfUKz1QWIDFUTfrbVF2gPtDto5TAJgdsJIsNZFaLaZcOqRGnWS+wsbxZYfMTpKgVquwMDV841zr2n2kSKGBUS//u6XonyL2mm7eG4NuO0ZXAKHtBgRAuFYSkABBpUHZw+ipFeoo2vX6QXe3pt+SJHTaboYyO+rnOJbn1mD/MKUgwEmyTKquZHq4W/K8NRIgkS/z/CzJ7VvTaNqZ3LDPwWE8z+ZZjLuj3fKDUhTIl6vUqxVM2u7xTfm7A4WZYpVMDdQqBTMjAVKlrrPcvkhjtxpRturo1d1H2W/T8+yoX/O61mihMVjQXeuFhOIZNs4SjI8OA7B7eIzDJJ+DfKnK7ckRAPQGA36nmeX1XWg1MWjVNJstnuyc8PrGAQMOC+FEhka9xpjfRb5cI1+uE3BZmBl08/m1A7S1HAZ1j/Kgx85ZokgqEef5SYxnRxFsGokFn4bbLiV3fHpsWoFbHgMvjfaj30B2AEqlEo1Gg1qtRqVSoVAokCSpo/1Sr9c7DuSNTBAEFAoFg4OD3L9/n9u3b6PT6QiFQjx+/JjNzU0ikQi12rXJ///OHcPXTPM5m82ysbHBxMQEbvfbJ766br2O4Z30E3rtNJHv0yj2m5QoRQVOrcDyeZa7QQfZSp3dSB631YgkNFlvN/kmXAZO4s3OsNmUx8STYzmqFEWBTKV7g876zShEkYtUkXy5hsdiIFHMEEpVaEoCQw4TfoeZZ6EcShH0Upnt8yIGi7Wzj+o1ttNWs79cV220WLvMkyzIN/bdoJXVHsIyqdZ1Wo8Po7x3xs/THpZMh1FDtlTlbsBCsdYkVqhy2JNJKRUCsbLEnNfAeSLHzkUKnUrEra5z1DPApFcr2QklKVXrDHsdnES6ZZhYmxsnli1xZzjI851DsrV+59R8gzKkx2HlopjBPnGPKaea471titUm+XI/bn4k4EOoFTm8aGsEV+vMj3tQKERKlX7Oo42TCNNDA+yehTtZwkU8jUohdqL6W8MB9trU55eSgtEBJ0eXCfQGAyBnZuvnKcZHx4hchFCotaRT8jnfPIuxNBlgeS/E/Qk/j3bkobtbQ25SJRk80EIGLlxZqlDh7ogfSWOCVD+/kU0l8drmMWM+O3EUlGqyXOp5tH8h1GrUbFwmWBgfZnlzHwC/w0woJu/P4x/k4OiEdK7Iy6NDJPNl/E4LFqMem8mAKCo4CUXwOa2s7R7hczlwOx3MDHrYPo2QSGcZcFi5TGYolKtMD9jR63Wo1GoSuRISsH0awW01YDLaiBSbZMp1Qj1BlF6j4tlJgmIP+eO4z8Z5ssgrY++5cf17rTebADrO4CqjuJIVfqNsorfHoFar8Xq9eL1eJEmiUCiQTCbZ2Njo7KtYLL7Q5rMgCH8O+EeAAviXkiR9zSaer+yrhkrqtVAoxNbWFvfu3XshTgHkG+JKji+RSLC0tPSOh14+uxNhadTFg1EnH5jxES9LHEfSaDVqfFYT5XqD42SZIbeFk2QJhQi3/RZGHTry5Rq5ShOPRc/7Jl3sRzK4jGrG3UY+OOPDY9bIsDuTGpVC5Olpmmi+xrTXxGuHcXLlOtMDNir1FruRPEfJEj6DwGYoRaFS5+6or5NxAJz1aDMY1Aq2LvoXjrvD7o5TEAX6SiJOg4qTZH/dOZEr4rdqUSlkLYJpn5njSIpnx1H2LxMsDtqo1huAhFqEu4MOjGIDQWqSKdUYdBi565DIRs+x9UiOzg06yJaq1JstDD2R1rDH1ilXATw/TfDw9hRnqf7jypf7IzaAePt3FasNnl6UGB2bIOB1orgGh8yWqmRy/eyfawchDkIxKkrdjXtXVKoYHXBxdCk7r3Ayx/3xbmagNnTlHEu1JvGKgkGXhd1r1NcHkQxz4wEi6a4jrTdbLO9f8L65YVb2uyDkrdMY0USKCbcJvfLms6TTqtFQYzFgwKaTz6tZq2TnVM4MDsMpbnkMTPvMXCT7S6CC0C0JPj1J8tLcBAB+R/c6rJ4mGQzIv/G11S3uj3kI2A3s7e8xMWBDajVQKUWMGgXVWh233UI2n0elFBgPuGg0m2hVInqNmlq9gcHqQGW0srZ/TjyR5taQzCAdyxSJhsO8d8LJ5TVxopmAs88pmPUqDmM5PnjL18dI+1bsKptQq9Wd/94sm3iz5rMgCJhMJoaHh1lYWGB+fh6AX/3VX+Wzn/0sf/tv/21+7dd+jUgkcuOzb9UEQVAA/wz4ZuAW8HFBEG694x2+IPuqlZKubGNjg2Qy+RUt3G9krVaL8/NzdDrdDZ6mt2uf3YmwfBSnXG+RKNQIWNWYzUZWw2UCdh0tRHQaFeVaE6dBiYRAOFfmMJbvNHsVAnx+55JsqUY8L/MX7cRKLJ+kWDlNoRAFnrann+/5tBSKMm++IEA4U0ajVHB/2M6sR0+p2mBxxMWrk27iPTxEPrO2T2xnzKnrlJ9A3le82M0o5vwW9nompAfNyhv6CqiNHKbrGPQ6qpUiX9i97ETKTqOWLx5EEQWJ2wEr034rCoWCgNNCsS5xf8RFvFBl++CESCqPW9Xo1PpPY90sZDuUYmFShmt6HdYb57/ckLg70E9Q1juoB+Cy6DlP9S8sjVqZnVCS+5ODKBX9pRWX4eb9MOh1chjJMDPSL+yyfRa9wWP0aOuYe6M+hnxONq4xl5brTQY9dvLV/qxmwqHlCxvH2PRq5ke6AdD8sJvzaJJbAQcLY10NEUmCZqvJ5uF5n/ra0qiLL2wc8/rmEa9vHpFPRnh5yIyiku0jwHt96wSjSqDaaOGzdaPZiQEniXz3fcvHSWYGvTQa3WvfaLYIDHc5h5KJJJvb25yGwlxeXrJzeIzf7cRjtzI/Pc7j7RPsViuruyd4HRbmx4N4HRYmB6yMjY+zF8nyZP8Sf3AQtUbN3ukFd0e9PJgdZXYswBc2jvCpKiwGDJi0CkShfyYGYLzNFvzhubcnvHPdRFHs9CWuyk5KpRJRFKnValQqlY6D+FJDuiqViocPH/Ibv/EbTE1N8VM/9VPE43F+4Ad+gN/7vd97p4f3ADiQJOlIkqQa8FvIgj1fU/uqOYZKpUKpVOoQ1X0lC/d1y2azHBwcYLFY3lE/odd+6Q/W2b5I8uqkm3CxyWasjFqlpNaC9086OUqU8VkNlOstmpJErQVroSyDtn7Ofb9F3UckdnfEzWVbi1khCjKGXgKLGjZ2D9jcO2TG0mTKYyFdrDHoMtFsNvnsTphsucazkwSX8RQHh0doijGG1CWmnGoWAkYmnRrGHRqcRg12Y7fncHfYzVmqxNV81NXxCEiIAhyE+xc4p1nPQbtMJAoCZ6ly38CVTStPNisVIma9jqNklccnKfaiOZRSneNYhnF1jkhbP2Lj6IL7ARPDLjORTH9z9DRdwazXkij0l3IANGolr28cshiUheGVokDqGjFf0HlTtvKiXRZZPoiwODUEgFal4PLs+A3vCaNBDkxMpn5B93vjfi4T2U4fAmSQxNr+GVNDNxep+4NmPv/8gGFDi3G37NBGnAZOwnLp6iKZ4/nhJbeDNu6NuFk/DHEUTrJ2dMnK3jkPJ+VI/f64j93zOPVmi8PzCPcHbSyNuXm2f973fZV6g5qkYHwocONYcpUG2VKVAYeJ+RE5Sreab5Y8dDodu+f9EOX18xQOm1V+XatmfFDe/4DHxWUkjiCIPN3cQ6eSz8ujjT1GBtx8enmdfKHIs+1DKvUWVlWLZqvJgNXASTSN1mzHbDCgNlp4cpxgP5bn/tQQ4VSO19b3GTLK+g3XB0lTuSIKAYZ0VXK53DsmybxuV9mEQqFgZ2eHoaEhVCrVjWziSzmKYrHIw4cP+emf/mk+9alP8a3f+q3v9HD8QO8FDrW3fU3tq1JKSqVSrKysYDAY8Pv9L1Tg4uLigq2tLaamplCrb9Ievx37f//Rc/7Lyj6ZbJbdeIVksc6gXYcgSYRTOcK5GrVGk2g7+vKatZ1BnEajhVWrYNol02T3KmqplCKXPbzHt+wK7HoF7x3SIxSinaG0taMwAxY1MwEbh/ECzbr8mUazxd2AqaNrXKzWOY5m2InkWDlOsBvOcpEq8tpRihoK7ox4eDjhxaRTsxA0oxJbLA6aMahF5v1mPCY1759wolT2p88zASf3g2buDhiYdhs6ab1SIWLUqlCotdgNGoJ2A188SlGsNZlw6rAom1yEQoyqcixv9jft1/dPGHOb+pquIHMw3Zse5ijeX/ZQKcQOrcPr6/sMGyWWBk3cH3YwF+hG8deBCnMuFZc9NOSP9sOMeW2M2rXEkhl2Ty+xGfsb9S1B/v1bF2lmhv1Y2lKVpXKVw8sEi9NDfe83GXR8bueSmQELXrOG+SEnaqXISUguJRxcxDk6PmExYGDYa0en6wIBJGD9NE6tKTE95MOs796rr2+f8uqMn+dH4U6zvlRryHBUhZaFa2R7DrOBtfMUy8cJ7k8Pd7YbtWoOI/K5WzmMsnYS5z0zgRsZzpBVRSp0wKirPyurNZrcujWDQhQx6vUcxrIM+r1ki3JAo9drcdqt0GpgNxtotaR2WVHg+d4Jwz4nB+cRpGaNZiZGLZfg4bgHu1HD3NQIa8cy2qlca/BoN4TFZOThdBC10ELKhllwiwxa2g17p5GzTI1vnB3AZTVxdnbG66+/zsbGBpFIpDPP8E6t2WyytraG1+slGAy+YTZxlUW8kZOo1+svTFf+69He1YxBkiROTk7Y39/n/v376PX6F6LJAHLpaGtri3g8ztLSEgaD4R3TejebLb6wG+aXfu8Ju5cpRr12EqUGk249JpXAdqzMhMdCJFtm2qVjNyrXa2OFKg4tLPlUZBJRkrEwm4dnTLgNTAecBB1GnGYdD8Y8BK0aHgYN2BU1nl/mOY7lOL0IE+9p0Bq0Gl47lXHgi141ahHuDTm447ew3iMsD3BndIBwpluHvxWwU67LswcbF1laCHx+P87T0xSVeouWBI+PEqydp4lkKyQKNdINFUtTg4iCgNdmYvkozuPDGDvhDPvpBkvTQwgC3B4wUWyK7MTKDLstbERKNKtlzKoWmnqezYNT3MoKoYtrVJ/IGPhIrsbaWYr5kW7ZxKhVc3kZwdxIM+LslhSnA86+fsLOWZRiLsfy/iW7oQTTbZrodKl/YWhV+nsI0BZNymYA2blOXON1Srcj1FK1zl6yysToCBMBF7ttuOrK7hljPeI5M+PD1Bstts4ThNMF1o7DvDxqJ9rTQ6jVm6xsH7N8kmZ0aLhPIttm0nOYrLITr6Aw2Lk9MtB5fXdnm0Fbv+PSqlXsRPI8OUnx8ny37Dw5HOhAYUPZOgatGkGA6ZFAH+xVIYokynAr2C/SYxer7J9FSCUS2Az9wZRSkLh3a5xHO6dkC2U0Biu7JyE8ThulSo3RgI9oPMmYT3bSJ5cxpoIumq0WR6EIo343yxsHLM2MYHG4eG3rhM3DEILU5G7QglGrYspnwaxXEc8WSWXySC2J1f0zvrjynP3NNVzVS4JmBXNOFZ/4xll8Ph9zc3O89NJLBINBisUiz549Y3l5maOjo7edTVw5BY/Hg9/fH5y/1d7EixIdQ2a7Cfb8HaCfAedrYu8aKqnRaLCxsYFarWZpaalT53sRJ/SN5hPe6b6fnqX5C7/ymHpTYmFqlLW9IxRqDbMuCY1K6Ggmq9RKxh0C5+1hnJeHzJRKJUKxCF+86H7vndEBHp3K9XS3ScOwy8CTozgKAVqtJpWGxN2AmYbaxMXJft+xzE+PoVRrOL6I8Vqo26sI2HSgUDE/4mDtOIogQL7Z79Nz1e4xqBUCx/HuQuk2a3ge6mYw425TB0X19DzL9PAA+VKJWruZe2fYy/JZjmSxht9lp9gEt1FDvFhFrRD5wKiJ//bkkmQBrrBF5UqV40iaIZ+Ds55mslGv5SAql5aO4gWWJvycxtK0cgl22o3ycuWY8ZFRDuLFjmZBr101k+uNJpl8EbdF3+nlAOhVIttn0RufM+k17MV70E89OH6tWtXXuAc4juUY0Kk7i0y90SRXquC2mohl8lzm+p3RuM/BbryMxagnW+jua2IkyH62wdp5mpfmb/Ha6hZGnRqNwUK2HQjkyjVOWyoe3psncbzOznGGTL7IgNfPZfsemxkNsB6VS2jLJylenp/htbVtQj2EislChbnRIczKJqun/ZnB3LCnc53vDrvZOEugVkhsH8h8SCfhBDaTnqWxIapNUCmVPH76mJFgt9F+dBlndDCA06Tj/DJMsVTGaTUTiycZ9zs5uEiwex5n1O8BAYxGPS/fneHJ7inzUzLUtSVJfOb5EbPDXobMCgwaBWW1yPxQgO3jS/ZDcV6aHeX1zSMkScJm1vOpLy5zd8zPrZ4sURAELBYLFouFsbGxzqDa6ekphUIBs9nc4Ud6M+j7l3IK1+0KuXT1/yuU0x/90R+RTCa/1Effji0DE4IgjCA7hO8Dvv9F7fyd2rtSSioWiywvL+Nyubh161bnxL4IFbc3m094p47hVz5/Qr0pLwRPwxXujAVZO4wgShKPt46pZ8I41HVKmTSVWgNFtciCR006V0SrVnB3ZoyHs6OdyE9rMCAgISDhMyl5chRn3KVn0q5g2KpiwW+g3oKtaAnJNsTMiFzH1ekNnGerhOMpLtLdRW9hxMlJPEe51mD9PM3i+AB3xwKc9CyMgw5jRz0N4HbA1ieOM+Qw0mh2IyqtuhsPGDUKCqUyF+1FUq9RshWV9z1kaODUCeRKFSrVCq+OOVHR5I83LxkbHODu+ACiKHA/YOToUobkWg39vZYhn5tqu8lZqNR5cpzgTtBBoUdHu1Stk4hc4Dbr2Lqm/CUIcNJDOR7JFJn2WbBouw/+HZ+eIc9NnHshl2NquPvwH13EOvxHYwF3Xw8IYNBlwWDr1+SIpfNo1Ered/82l6n+rMRm1hPJlPAFgp35CwCrtbuYPTnN8HB+jvszY8Su6Q/MjfhYOU1hdAU65+H09IQ7Xg1KhXiD72r5JM3Lt8cJp/v7NRvnKXkq2d4f52k13Wxg9TSBWqVkcdSNy9XNINL5Eq+tbqNolPni5z9DsVRGfY20z+NyEUvnOA/HUSmVGA0GAh4n2VQCpUKk0Wzi9zhIlho83Tvn4CKG3Wzi9ed73B1yoG/PToQSOc7LahpqI5V6k8882yWWyfNgZoinu2d8cGGagMeB02rmF/7yt/ET3/1+vpRdDardvn2bl156iUAg0JdNHB8fy/KsbUf/dpzCG5koinzmM5/hH/7Df8jq6uoLKYlLktQAfhz4L8A28NuSJG1+xTv+Cu2FlpIEQSAWi7G6usrs7OyNk/+VZgxX/YR79+7dENV5J/vOV+p8rk3z0GrUkQoJnuxfABKrJ1FAQGlyksyXcZpUFOKX1AUlK5clthNV8nWRJ+d5Vi7LLEwNYTHqKNclBiwaptxGNEoFw3Yd0XyNrYs0m+cJlg/CHe3bXKWBZHRicHgZGQwy6dSRL1W4PWBCFMCkU3X6CiBHXmepIiqVkqUhG7d8Zqw6FT67kQmPiUmPCZ9ZQ7FSY8xt5E7QikWnZD2UYcShZcSuxW3SsHXZpdyY8egJ9cxsTPhsWBUNnJULCtUGq2cpKvUGd4ZcLB8nKLcHfY7jeZ5f5FmcHuqUa0CGgY75uot0SdHf+HTqFPzJ+jGT7YGqK4tnCsx49H3azABTAzYS+X7oaqkhkC2VmXTruRc0k8rlCRebzPjtfQ3j04vLG5GjsiVH/WZzf8MZZGGdtbMUnmtIqcCAj2SpjqJnIVAqRA4i8nk8iGSZnZrovBbJdzMLSYJnZyl2jy94MNLvvC6zcuS/lZR4+eHDzvaVrUNengl2Mocr8xnkfsaEy8CM19RBfC14VaztnbCyc8yU14jfppNRPvF+R1aqNbhIZFFbbkLERUEg6JO3P989xm7qlvcS+TJHoQjjQwFGAj5arSbLm/votBoWp4K8dGeKx9tnzLXRXYlMnqbUxG0z83T7GKtKIuiyMjo0SL5c5dlRlIKkYW58EEEQKDdg6e4c+WqDj77/Hp/49vfwfR9c4IN3J24c55vZVTYxNjbGgwcPmJ+fR6vVcnJy0ulNPH78GKfT+Y6cAsCnP/1pfvZnf5bf+73fe2EwewBJkv6zJEmTkiSNSZL091/Yjr8CE75Mbe4tF+4kSWJra4tMJsOdO3fesBF8fHyMRqN52wR5vXxHc3Nzb4hokiSJ1157jVdeeeUt7/d3n13w0/9uHaUA9WKaZq1Kb1FYFAGlXPe1GdRM+mw8bpeJLDolpZpEvR11apQC9wMm4oUa+9F8e5AsA8CsU9FpvAHMz95iK1pEpxR5EDTw7DRJvdGkngpRqspsp4MuCwNeF48P+ksktwbdHX0EgAmfnaNMvYMeWhqxs3zcTXNfGTZxeJHkMi0vEt+wMMln9lNMuI00mw3KDbCoBfYTJeq1KlMeI6l4FItBT1HUMug0kylW2zrREk6dgliuu1AHbVo0pTibB2edbZNBN+epIh6nnctaf918acjGo91zBMCrqXMe6zq+yelb6LUqdBoN58kCyXyZ+VEPz9qKZAAmnRpJY6RUk4MAo0ZBMZfpRP9Lo05e3zgi6DRxtL2Ow2IkmUz11aAfzs9wWdMQzfVDYBcnAjw9SbA0bOMLy88AcFpN5NHRbEk8nAp0rsfcoJvNa9oH8wNGJEFgPdZfcprxGFjflZvy0yMB9iI5JgYcHCa73y8KAhP6IqvPN3j53iylOmjMDi7yDVKlOiqFiEdV4STa/c5pvx2FRsfWzm7n94uCgNmgJTg8xm68//d5zVou26W1u14tj1c3Oq/dGvJg1Ch47Zm87aU70zzelcEygiBgFKpMDw2QTCY5Og+j1eu5d2uCRDpLsaXmMplFFAWmR/xstWXlBj0O6vUmQ0ODVBoSOq2GWlPi+Zl8DEqFyPtnBjhKFHkwFeBnf+CDaFQvvrrdaDRYWVlBrVZTr9c7JHpOpxOj0fiWIv/Pfvaz/MzP/Ay///u//07J814c4uarYC80YzAajdy/f/9N0UFXQ2hvx670mLVa7ZecT3i7aV21WuU/P9kDYEAv0WxJfV5QpRT7JhvTxRq9aLpJr6XjFACaTYmNUJr9aJ4Zl6bjFO4O6PucAkCh1mQxaOS2V8OndyJY1DBmbFCsdBd4m9lANFNkLmhHp5LRM3eGXH1OQRAAlabzGY9Zy3pPL2F+wMAXt846TsGkU/PoKMGdASOJXAmHSYfUaqHSamkKSkSNgXy1SUowkxEMRPJ1yrVG2ynAtNfS5xRAVportFRoe6gW9s5jjHksBAa8XLcrhIsEODzdB2zU7+Y4lmXzTM7aoqks758N8vw00ff5mUFPxykABM39sODNUAarQYtTI29LZgtMDPY/yLlcHqfl5gxNuq0LvRnO43fL5ZbRoK+z/+W9Cx5MePHZDH2Ioys7y9bRm8xM+czcH7ajFGXm3Hise/11CgmfVY9Zq2DKb+9AVVUiaNQqnDYrh5EsG8eXrKytk7s4wCuleHnQ0OcUAHYuUigEiamxYebG5P5lS5LIFMq4jCpcOoEHw3aGHAYEIGDvlvlO8xK+dklJpVRwFIp2dLEBHm/scntUPjZJkhgZDLB5dMbRRQS71cTs2CB7x+cchWLYdFc1eIl4KovdLKOdQvEUQ4N+zhI51o/DPN4+YXXvlPmAjYUJP/NBG//1yTZeo4J/8Be/8V1xCs1mk+fPnxMIBLh37x4PHjzgzp07aDQajo+Pef3119nc3CQajb4p0ukLX/gCf+tv/S0++clP/nfNqNprL5RE74ri9k2/7G3qPl/RZryZHvM7tWw2y/r6OsfZJspqhpN8vU2sJrVF3yVuD7pYDXWHsqYHbGxedv++7GkA3vGbKVZqHMbyDJhVFCoN/GYlJpVAOplg1GXkqJ3W+xxmaDVIZMoItSL3vBqEZo3Xt/qx6rWWyGlcXuQdJi0TPhvVVr/zuzfqY7VH99ll0hBtL9xuo4r982jfojk96GHlPMdamxJDq4CgXcfyubzwuwxKwpkCKoVAuljl/dMDPDnqTnVqFP0J5IRLz/qhTNS2cGuaxz0EeYcXce6YbZi0SvKVK9irwFEPW+zmeQKf00o4kcHh8XF+0nUCJq2SldM0GqWib1o7dq3u3qjeLJd8cMLHH/y3P+lss1vNcNpFTFnsdi7TWZRil3NKp1ZympD7NKVqA5XewWhABYquw2tJEo92zjHp1CgFGzq1gnLbSSkVAl6rnuXdUGefEz4bNq3A65vd/s+zAxlw0tBMki6VIF7i4aSfWj7Bo2d7uK0mRnxOMoUSzZZEqVrnLJpCrVISdJo4T3T3NTc6wFak0CFnDLhtHYqL41ieWLZMLFtCFAQ+cDvY0bwG2Qm6bQMMiDIT7vbhGfvnUSxGA9lCkVZL4vgshNVoJFMooVapaDQa3J2ZRK0QOI/EiSbTvHx3ltfX93h49zZP9kPE03lmRwNkCyUe3Jnh0c4Zg247VoO2M4yntbt5ep7lL746zd/58x9mwu98oRD2K3uznoJare5QckuSRDabJZFI9FFy1+t1xsfHefToET/90z/NJz/5yXdcgvrTaF/Vyee303z+Uv2Er8R+6f/4Y37kl/4df++PTjk8PqNcKtGSWohKJaJKg6hQ8mDCi9BTqxYEqLSEjtDNmMvIRRsqen/QQq0poVSpmHDqMGuVnOdbXOSaSKKSw3iRo1genVJgwKJBEpVEE2lCl1H2wxmKlRqPj1Pcnhjq1HUH3VZ2e3oLyXwFUaUm29LgbU+0atUKLnJ1TGqRu24FLw1b2LjIMOrQct+v55bPhNWoQ9WeVVCIAuGe2rdSgLXjCPuJroMbcxmYchto1us8nPDyuZM8RrONlyZ9PPQqON7bxKzpzj5YNN1z9PQoyvz0aOfvOxODLO+eoW/kMWvl+GPUZepQOoNcfx8ZDOCwmNjvIeUDmAh6yVebcunRokEUYMxj7VNFUwoQyvRTZShFgb3Ti74ZjY3jS6wmOYrVqFXsxgqEU3kWRrrkeOM+e5+QUbZUQzQ5+wgRr2zS7+S17TOGHfpOfeDOoJOtULJPqKhab1KTZH3wXhsecPXBbZ+cJtGpFFiMOmKZAo+2T7g9OtDZd8Bl5eAiQbNaZtwrD/Zp1Uoi+W6G2WxJOL1yE3tqyE8o3c3sREHi+d4pI65+0rcBXROXQYWlDRhotlpMjnSRk7limTvjfkx6DalEnGZTQqPTEssWiMZT3JkcYff4DL1Ww9b+AV6bvP/NoxDf+OB2hwfqLJbCblQz7LEyMeTnWSjL+6Z9/Mx3PmB+bAC99iubP3oje6uNZkEQsFqtjI+P8+DBA27fvo1Go+Hnf/7nmZub4y/8hb/AJz7xCSyWmwOV/z3bV9UxvJUGcavVYnt7uzOf8JXSZnx+64zv+Hv/hv/Hv/s8r/zEP+P/9XtPeXycYj9W7JaOeoTfJWTCtpW9C0asSpYGLbxvwo1LL7IYNPJg0ELQqmUpaORB0MhqKMdutMBetECpJfTVdaVad1Ep11vEShLRZJZiPkul3sCqU7F9IaNwNkMpLDYrVoMWn7OfjgGgpdKRKNSoKfRMDge4M2Di8mCT5Pkuj57vkEyn8Wnq7J1eEkkX+PR+msuyEpPNxdL0IAsTfi5SRaRmA6lRx2tWM+l34NULLA5aeWXIxOphhJ3LDEqFyGZUXljihRr5yDGfefKcWDrPuKWbEYYTmb5jTFVAr1Vj0ms4aWdIF4ksukaeYYcOq+5mgvr8LMXd2SmK1f40XtUuR2bKDaIlAYVKi9uiQ6MAhSAhIjHh1t343GzAxkkkxfzUWGdbsVxlZlRe8OanRii0M5jVgxDzw3LQoXuDxclrM6HUGPE7+xvVtfaswNZZnCmviSGn6QZtNoDPZmD1JM6dyeG+7QO+/hLbjFvP53cjODwBbO0yzOrBBUvtATu/ywrITKixRAqbQcPM8ECn9HVlm6EU3/jyPdTG/vvndsBKLFsinkjRFkMjYDfwaGWV1b0T8j2aBFLPkqDVqNg5ixFwmDgIxTAZDXzx2TZmk5Glu7M063VS2Tx3JobIF8uY1BJKhcjLd6b4ryv7PJzuqtQdXsQ5vogSCASY8Fr5m9++8K5kCfCVoY+ueqA/8RM/gdVq5R/9o39EKBTim77pm/je7/3ed+V4vx7thaOSvpR9uYyhWq2ysrKCRqN5x3xHkiQhSRLhVIFqvc4P/9J/4NnhJf/4P71OKFVArVSAUoXUrNFq1mXu/p7jXhqysdLmoz+MZAmnC6yfJ3m8H+HJQZTLVI4/3jjj0X4ESVR2o0xJwqJVtyM4iXmfriNCD4BKh9esxdoDaxxyGvooJ07jeabHhtiPZhF7jsltNbITKTBuUzJplXCoaoTCMVqShCTB3Kif7Ys0523yNJ+zi37JlutsRcuY9HocBiVILUCiWKmzEa2ym2rSqlf5/M5lp2Qz7rNTaM9F2DQSz7a7AjqPNva5Y2+yGDBy1iNqAxBOF5ibmWI4OEA813WKF4ks0ctLKpX+ZihAtdHgIFFhJtCfFfbCbVuShF6jZPUiT6tRx6CUCFpUqBs3lcykmuzQMlUJsSfre354gctmIVXv3lPVeoPVvTMejntuZCyCIHCRKhLOFCk2Vdwdl6Pxh1NBNk67zfDt8zjVSrk9AdxvF21469PjOMG2c9Fr1YQL/cFRsy0vepbIobO6cdvNGLRqUtk8H7wzQqIH5poplBlxGbEZdTe6mV6Tmu3tHWKZ/mnyRFY+T4lCldt+KyMOAzZVs/P5Vk+wtnlyiblNFTIRHCCeLaHXaJAkifFBuedQrtTYObkgnsowPzlCoVTm/uwEO0fnfGjxFo92QwAsbx9zf6JL2zE/M8nrx2k+PBfoZD4v2r5SSCrAs2fP+Gt/7a/xO7/zO3z0ox/l537u53j99df5lV/5lRd8tF+/9nWTMVzNJ4yMjDA6OvqOoonzdIWf/pX/wq2//i959ef+Ex/5h5+k0SaJkyQJQammjig/EK1mh8XfoFYwH7TxgSk326HuYq5RqdCbrB1iusVRV18p44r7qNVqMeczoFdKTLs0LI44OM+3mAy6QVSiMNox6DSEknm8Vh1LY24EuuygvXZRaNHUOXD6Ah2+n9HgAE6dSCMf5/W9MF/cuSRZV7E4PcJk0EOs1F/7j+T793vbb6Fcrcni8m3z2Y0YtCqMagXrZ/0NXqNBh12vYtqlY8Ym0urxXpIET7aPkRpVHkwFuW6i1ojZdrP0ZzNquQjHsOr7I/OpgJtwpshBLM/DaXl/Fr2G00R/72DCZ6VSb1JrSmTLDULpMrsXaWZ83QXGpFGwuiM7sZNomqXbM53XStUas5PDffKjV9aUYNhj7ds2PWDvLOy5co3noSwvzY6xd3lT7CbgNBNNZgjYu2CFWwEHoR6W05pSz9KtEe7M3uKip8wz7dazedrlLIplS9hdPkZdJvaOz/jj5Q0M6v7HtFJvcRTJMBuwoVZ2X/NqG4TiaYZ7Epwpn4XTHgf+9DDMUTgBOitTi6+i02nYPo0QdMnnsVprMDM21DkvAKJaRpZdMdTuHIdw2S3MTk/QRGDnIs3OeYKl+/f5o5U9ltqZQqsl8Xz/nDujA2hUKmKSEY1K5Aff10/x8aLsRTiF58+f84lPfILf+Z3fYXx8vO+1/54V267b10WP4Z32E+LZIv/qvz3j7/6bT/P3/u1n+Jn/sM5/fHxAXWlAEEQOUjVUdm+ngSj0cLALggJBY0AQRYrVBufJAs8Pw4hSi4VhBw/HPVjsDvZjBYIeB++9FaDUELg/6sagVmI3qFBJNebdKvRSmbWjMI8PIuxFsmxd5kgVa0QqStQGCyAw45FLBNuhFI/3I7xn2k/0Gu2w12YiWpIoNyRSpQbPwhXGPBZ2okV86goanamTYVTqTdbDBdxuD8ke5lG/w9xXX7bpVehV8Po12KtGbyJThXGvEZfdzJ0hZyeKUysU6BWwHc6RTqeZGryJxChUW6yexrk71oUeD3lsrJ4mZZW5nn4DyE33aDp/g5/HYpSj00ZL4vFBlAeTAaaGvDeGz8LJXN/fU24DhUqNWCrDQJvAcMpn6fvc7mUaQw96KJ0vMz948/4qNwVWj6MsjXswtgfnTPo3qHsLAlODnmsbJc7iWdKFCtFkhnGvBYNGReMaCCOeK3OSKNKo9qO6tMLN56EuCTTtw/g8LplW5vwSu6mLKErVRBnpcxJjymvlwZiHKbe+w1O1eXDKsEPLPY8Sj1mDQavGauyWZDVqJfuRDCfxPPcX5fkJtUaDsv18nLYV7a7gvBcJOZvaPblgcVaeLWg2JVZ3DjmPJFiaGaJcrbFzcMzskJeV7WMW2plCvdnk+CLK+x/Mky7W+LaFYWyGF88x9CKcwsbGBj/6oz/Kb//2bzM5OfmCj/BPl31VS0nXM4avpJ9wHs/yA//bb/Nbn17jv60e8iv/9RmNlsTC9IiMLAKQJAKaKjTrIAi06jXcFnn45870MAalhFYpYtIoMYhNEvkymWKVlcMoNUkk2S5n7ETyVBuweZnl2Vkat1GkWKlzFJWRLb0c8neGXB04ZalaR0KmqNgJ9UflNVTcuzXBvYlu1D3o76FgrpVoFpLkahBUZDk6D7N9je//9rCb3XiZcZ+9M37h93QXPlGA20Eb9Uarj7Nn2GUhXWkiAVKjwUW6zPplnsNkhQ/MDfLoKMF5uoRVK7J+dMlpusLUYPfYTAYt++EM9UaL9bMkL83IEabdZqMlSbQkifVoiZfvyvw+GpWC7VPZMT3ZOePBqNz0tRi0fUpwAM9O4mhVSjRKkatKkMeo5DLf30tQIv8dz5XI5/PcDZjRXNNhyFfqTIzKfEW3Bt2sH4fZPjxh3GvtvCfgsnX6PI/3w4gCTPttbJz3Ux4oBDiMZnhyFOfhzBAPZ4bQq1UsjPmItOHAtUaTbK7IkF2HdC0zVilEghYV56Fzhqxq7nrUzNubnUW413xOGwexPCXzMK++5xVypTIOnSjvw+Pom6B+fhLl0W4Ih07szGrkSxX2tjd5vn/CarSOzT2A2elh1C+f96mgpyPw9PQ8x3BwgMNQjMVbMoVFLFtkaW6STLuHEU5mMbcdS7Umn/eD8zAjQR/TIwE2dg9xWU0UK1W2D45YGPOi02lwWE0szIzyg9/yHsRmmXuOJn/xfS9+wX0RTmFra4sf+ZEf4bd+67eYnp5+wUf4p8++ZqWkK1nPd9JPqDea/Og/+g/snMfZPotxFkky7jZxb9BKs9lk0iYyYmjwyrCFw3AKBAFBEBBEkWgqz3vnhghHE+TzeRyaJrf9Jk7j3YhUIQpU6cIUZwfMbF1mEAWYcygwqpV4zRoWhx2UG/2Rbbbapba+7bfQkmRYZ+GaUhhKFasXBXZSLQIuC16biadt2KhbJ6Bs1RBEhcyjLyqZGA709SMAcuUG2XKd40yDwQEvVpcPtULgPaM27o24ENRanoQKrJylGXHo8Vl0OEw6ykoD5+kKLqOK9R7mTbtBzfOLfAdZM2KS0S71RoumqOloHEwNBToRcUuSeLQf5taQh702syfIJaflkxQv3Zni7tgAuR5Fstc3j1gacTA16CV3TYBnfsTN57ZDVColptw6xmxKAm5r33sMagXrJ10YbbZYZf00yrN4k5fuzfW9d/0syYdfXmC7Pf9RrtY5Pw/hMclRq9fl6Duv2VIVq1HPiLu/Bj4/7CKZr9CSJB4fxnh8GOP2uI+9i34HEssWabZanMVz3Ap0ez13A2ZWds+IpPLs7WzxaG2LeDrHiKf/e0RB4LDduK82mjy5rPDKyy+zexrm3qiHAffNjGdywMbrB3Eezs/0bZ+bmaZQqRPJlrlMl6grjVhNekLZ/v6Nv63DEEmkGPbYUIgiFnP/cQ365axx6/Aco14uLSVSOZ5tHTA84MamV6JRKWk0WxxdxPjixjHJbIF/8Jc/wk997zfy//lfPs7HXp1loscpvwh7EU5hZ2eHH/7hH+Y3f/M3uXXra66R83VhX1XHIIpiBze8vLzM8PDwO+on/G///jUkpZoHvbTIoshxusbKfoit8wSXmTJn6SJ3eyJyhVLJ3YlBPrN10Ym6JGDlOMHCuI/FcS9Os47FW6PsRfMM2fVMufXopAp+dQW/Is9GOM/zkJyGCwoVm9EyTruNMb+b988OcpwoYtIqee+YjedX8wLiTcTKlYBOoyURbRiYHZVTb1GAQbOiT3An1xBBoWbY3S0eD7nMnKS7i20oW6PUUnJRFJBUWrlRK8GoVUWl3uI406ClUDE7OkCyKDspr17og1cOusxkOsI/EheXXd3g42iGpXYZAcXNMovTbsVh6s/47vr0NMs5MrmbTeJSpQbNfqdg0qo4b/cAJAk2Q2lOU7Jo0dKIg6VRJ0aNkkm3nnqj/5yODrip1Js8TzRZmOtGpXdGvHxh84SJYLcEVKrWqZcLTHptrF0boBMEOE8V2bxIMz/ixqBRAtINoSCAYjrFtK8fsTTiNrMbzlFttDiNZhl0yhDOy3j6xuedVhPPjiIM9zihmSEPyWvaE6d5eDAzTLmYo9W6WXoyqBU0mi1WTmTSvitT6vuPLZEvcXfU28kErmwzXMDntqMSQKUAn0XDF1fW+mgxLG052WarxWy7B5HOF1iYmyJTaVFvtJgJOhEEmBgdQpIkjDoNU4NuFAoFgiDw3e+/d+PYvxJ7EU5hb2+PH/qhH+I3fuM3uH379gs9vj/N9lUtJYGcKVz1E1wu15d9/3X7o2dH/Is/esZOKMnT4zgLEwHujfsJ5+tke0aTZ0d8nCUK7MRkHiOFSoWkNbMZ6kZ4oihgMhio1Js8O0mwcpJkPOBl5STJhF1NNJmhVczw2uYxp7E0ZUHXqWGrlCKhNttmqljjOCHrwD4cNBIwCWyHrzIQ6cbEqkWvJZTprzWX8xncepE7ToH9aH95xWbQsnwUJ5Qu82BCjty8ju5iIiCh08kPsUGs8+ikuwgVi90GaCxX4SLbdgomNRs9hHUBu5618+73jlhVhBL9x7F+lsBq1HMc66/3A6RqAqJai1IholMrGbZrWdva4fHWEclMBl9PY1ahEInmSjzdPWXK18XW3wo6bxDNzY96+MJeRI7SD6JYdUrSmf7jArBb5fPRbEkcFlRMDPnRqpVEk2nK1RrZUh2ntftd8UwBp0HEqu/nUhpx6DtN57XTBB67ifff8vcppQGMuwysHYRY2T5m3NNdgLU9MwvFap10vsyrk14shn5qEPk8KKk3WxQrNWYC8hRy65rTFQQYsippShLPdo7Z2XjOfZ+aYbsWUZADiZ3zLkrq6WmamVG5+XuW7ncAsy41l+F+GcpRt4kBo4hbr2DvLMzeaRi/x0GpUu1DDpV7HHEyK99Tw+NT7KYaqHV6wrkaSrWW+zNjvL4t06O8eme8T1v5RdqLcAqHh4f84A/+IL/2a7/Wke38M5PthXElgdwzeLOx8larxe7uLhcXF3zgAx9421DUeqPJYSTNd/+D3+nDrquVIi6zHpEWeo2a3Wger81IuiL1Ycv1ShmiGXSYcJm1bJ3HuTPqZ/mo+1DNBp3sJSpYtCpEqU692cKiaJAplAn43Gz00E0sTQZ4GpIfEKUoYNIoKGSSzI94eHQYw6BRMhVwIrUknu51eYQA7k0E2Ui2UIpwx63maaTGtCZDPJNj0Odh+ax/4Z3x29ju0XJeHHNzmW0QyZVRKQSGBzwcJcuYNPKU8FUWYFS2KBRLHUitx6IjUVcz6tThFErUmxJPL+UMZzZg57WjNGatEq1aSUBd5vX1flpwtVLBq3Mj/MlG/+8xaFU0dTbqzRZOk5ZMscpLwzYi6TyiKLC++pRBt41Irkq90WJ60M1uOAPIC9+gy8qAy0asBCc9JT1BaE/z9pD8LQQtxFMZ7CYdz3qmssfGxjntQYwZNUqmNVk+/7z7G6YHPaQzWSKpHBN+F/vnEYa8Dmp6N4n2wNm438XhNcfsN8jN4/mxAZaPEoDEkK7BYZtRdsBhJlUTUYgKWqKyb4gPYGnEwePdM+6NeFjZD3W2jw8FOO6RPF0Y8xGvCH1DdfeCFl5/7Ys4zAaK2RTFctdBjQa8jE3P8tlr12PMa6NVK3Le7J9nCCoyHFzEGBmdQBBAqxSRCnGerz5Dr9XQlITOsU8E3YQiCfQWB+lCGYNOQzF+SaNdCv7wex/w6W05o3z//ATf98G7LEyPsrx5gNBqEE2mmPCY8bicuFwubDbbC3MSL8IpHB8f8/GPf5xf/dVfZXFx8YUc15ex//NyJb2Z9fYTdDrdGwpvfzn7ud/6LD/yj3+XYbcFVU+TcdRt5iJd4jxdYTeSYz5oZ9Tr6HMKE15zp458nszz9DjO/OgA6UKZpREniyMuxjwWIsUmzZbEzICZWK5MuljlJNdkanKM44LIw6kgPpsRhShwmpGjsbteDWOmBtNOJVMD1o7AebHa4OlhBJVaxb0eLDeAph3d33cJHFwmedkjYTCZGQ36UatULA3b0ark3zjuMfc5BQCFUkWqVMVt1rI0McBRUs4+gjZdX2loym3om+a16RQETCK1SpkneyEe7Zyx4NOiqOTIVZrcH7ZTa0rE8lXU3CxZjPnsMn2zsv+2uT0e7JzvRL6C26zlC7uX7Edz7IazLMxOcRpNMT1gRa8WO1PIIJeMTmMZqg3Il2t4zD3SpCOePqcAkCsUOY3n2DpPsDAqN8Sngp4+pwAwbmzwdPeEEW+3zr9zFkWl1fHee9MgtWTETzhBMXrMolfNK5OeG05h0mPkPFmgUm/yaOecKbeeewFzxykAXCZzeHQSL88EGPbamQ70CuNIHIWTSBKsncQ65U+PzdTnFABUag21ep35QTuLI070aiX5pNy0T+aKzE2N92Xlbo+Hy9jN5rVeqOHx9S+YwzY1BxcyLLaWi3N8tM/27i4GtfwslipVRvxdxlCdVku5WmOiLYxULFeZGh8G4JX7dziI5NFpVKiUCv7BX/lO/sdXF/A5rXz7+xf5tg++xI98z7fw3ve8gsvlIh6P8+jRI1ZXVwmFQm84z/JW7copuN3ud+wUTk9P+f7v/37+xb/4F18tp/Cnzt71UtL1foJCofiSfErXrdFs8c9//zGf+JZF/vwH59k8jaBRCDwYc3Pba2An3B9diwI82jll0qljadjOg1EHKlod+UyAO8Nulg9kSorHBxGeHkXQaLUY1CJ3Apa+EopKKbIbK1GpN3kSylNT6HjvrSAGJUyZG9TKRTbPk3xu84yTWJbQNc7+mqRgK9lkfmYCQ3u69jxbZ9SqoNFoki5W+fxBksfHMr3157fPebwXYsyhQ6dS9InaA7jMOjYvstQaLWK5CpVm95xrVSJGFSBJ3A+aKfZwDAkCaA0WksU6xmaRShuV8mj3AkGhYDOcZ+U0TaXRYsquYHn3HMs1WKHZqCNdrGA16Xk45UfXXlTOrtFSDFi0fbMPFYUeg1ZNsVBA2aiQL/WX0QBSpTqpUp1CXeLhhA+VUtFBhV3ZoF3XafZW602en8RZHPehN1v73nfXUuXJ6nO5l9BsYeoZKrSbjTzaDVHr0afIFsp88dkmiYrIneHu4igAzWsZcDhdIJ6v9aG0AE5jWRKlBvuRDHvRHA+n5GBgesBGvD1g1mxJLO9f8vKtYQa8N8uo8UKVWLbE6nGU5YMwk14j2wfd4cIne+d9zfWWqGLvIsGdoe6+7gzaWT0IEbk4x6LtBmB2VfdeuEhkkCTQa1U8C+UY8Mq/2dbTU3i+f8bD21OsbO7J/F6A2WrD73awfBjlPJZixG3lFz/xXQRcNyf1gQ7v0PT0NC+99BITExM0m002Nzd59OgRBwcHZDKZt6y+1usUAoGbetdvxUKhEB//+Mf55V/+ZR72UJ3/mfXbu5oxXF5esrW1xd27dzv9BKVS+bZ0E0RBoFpv4rOb+CvfvMi/+omPcM9vZG9vj439I+Y9apaCJvxWHfODdp6dJmm2JHYukqRyRdYPw2ycRBm063FZDCyOuti7TPctXPcng2xfZjlPFmnUaxz36BDPBF0dErgpp4ZRs0Q0nuTw+ITdUKKv9jrh70e46DVKdiMFmi2JzXAem9vHw5lhKrUatXSEo2RPyWDQ2lca2TiLczdgxKQCr6UbRQdctj520XCuW0eulfI0mnL5AWA7WmZpzMPdISevTA5wEMuhEGE/3J+BOHsw8gAU05SrdUY9tr78N9VuisayJR7th5kMuPA7LTfoq6u1/gX9IJrjPQtz7J9HSeeLHB0eMTNg7bzusRo6SJlStcHjwxh3ht0YtWp6NWPchv7yY6PVolCT0CgVWHVqbvstPBi20kDsSl/GMwRdNhSiwMywl+fHYerNFkqtvsMjBTA1PsJhLM9hrMCo18HDiQHuDtnYv+xHHTnMBkKZCqdFkeke52A36TqKdJIEjw+jfGB2kEjiZkTfkiBf6q//+x3mG70bUWpxd6Zfk+Dxzhl3p8cI+jwdQr1oKsuU3878iAupIZ/Hw4s4jfgx49o8C14lwhs0rccGXLQkGBmXm/WhaH8j/jicYGF2Ao9JDmg2jsOMjY507nGDVsN3vX/hxn7fyARBwGAwMDQ0xP3797l//z4mk4mLiwtef/111tfXCYfDb1qKfhFO4fLyku/93u/ln/yTf/K26Pmv21/6S38Jt9vN3FzXSadSKT784Q8zMTHBhz/8YdLpq3tB4q//9b+OIAgHgiA8FwThrZ2wr7G9K47haj4hFot19Jiv7O1Sb4uiwN/4jpc7f8949Pz5lwb55pdmUauUPNk+YvPgBL3YoF4pM+3S4NApGDBrsGhEzDr5pj6NZRFaDXbP4xiVLZaG7cwFbLwyHSSWqzAftPEgaKJe7i9JqNUaJp0aHK0sekWLRDpPNFNgccyLUqnAptd0Sivx/LVm35CXSr2BSaiibZZoNhpchi8ZVGYx6zW4NC1GLSIfmHSQzRf6nMr0gI3Huxc82jnjMhJjyqnm1QkPu+Ess34LOpWCMa+VWHvKWa+UKDSVVBotnp1lOgvjynmWRLlJrtpk1mdm0iR1BOevTGmwdv6tE1tstvn0nx2GWZyQB9h8dhMH18osaycxebq793wpRPauzVsAXJQEbrcXuUK5SiIaRdNemIP+a/ocAiSLNU4TeewmHQ/G3Lw66WH9Gn05gMlk4slRjFyxxPPTBNWGxHpK4D0vLXXes3UaYWl6CFHRdSxHkRT357oTuM4BGb1WrjU4SeR5epokVyjzcCqARtV1IC6L3MBuNFsc5GBhRh7kmxgd6ivjqUSBnVCMoPtmNF2q1igWCph13cZ3wH1TgU5qtcg11Siu1eYFlY7B0UkSbdqRcCrH9sklZ5EUepOlQ6eSypfYPLogHI6wvH/J/ckhDD306DqtnEmtnSYx6vWcRxLcm+wi/cqVGgqNnmi6wAfmx3FYjH3zMH/pW1+9ccxv1ZRKJR6Ph9nZWV566SWGhoYol8usrq7eUF97EU4hHA7zsY99jF/6pV/ive997zs+boAf+qEf4g//8A/7tv3CL/wCH/rQh9jf3+dDH/oQv/ALvwDAH/zBH7C/vw8wAfwo8Mtf0Zd/leyFNp8B8vk8a2trOByOPunNK1tfX2d4eBiTyfQme3iTA5Ek9vf3yefznbmHUqXG7z/a4DiS5Y9XD9k6k2uo8+N+dsMZqvUmSlFgasBGsS5TG6R7YIdzowPsxcsdpNGMS8NWpMB7pgf44uYZbpuRIZeZzZMYsyNeHrcFcIYcek7D8c5C7jTruD3o4lkoR7bcjXhujw+yfnwJ1SKSBEMOA+FEujNcBDDld3AQSdNsScyPeChWG8RyZQwqkXC6W5ZSiAIjw8OcJuV9WXQqZofcHMdy5Ct1fDYDh0nZMYkCGNQiuXam854xJ188SqIQ4LYDCqUqF8kcuXIdi1FHVWPrLGqzDgXPnneVBdUKEZtJi89uYu2iP6IVBIGpoBuFKLKXrNKSYNJjYvc81ve+IaeJ00QenVrJiL7O0/b+A04zw4ODbGSVndIWyEOCvRrVIDeds4Uy57E0lTYvkdNioCToqbazNkEQMGiVHZK8xQEtX3j0BIAH04OIosDru/066/eGXcSzJcrmYN+sybTXxOaR3Ch2W/QyId5RhNEBFyc9GaVSFHj/tIfP7cf7IMbzAQurx1GMGgVis0GmnSE4zXrS+SLNlsT9iQDPzuSMYnxwgMNohm6PUsKpVRDPlVgImni02r0mM1NTHMYL3B1y8GTnBIABp4UBl41nJ0mWRt0dwR2Ah7PjLB+E2+fcxGUsQaPZYizg7dCg3x0w8HjlGaMBL8fhJGqVkrmpCc6SeRrlIn6XlVI+Q75YJttUYzMZePQrf+cGc+yLsFqtRiKRIJFIUCgUaDQauFwuJicn31F/MhKJ8D3f8z384i/+Ih/60IdeyDGenJzwrd/6rWxsyOd5amqKT3/60/h8PsLhMB/4wAfY3d3lx37sx/jABz7Axz/+cQFAEIRd4AOSJIW/1P6/1vZCM4Zms8nKysqXnE94J2I9jUaDZ89kRa2FhYUOokmnUfFdr87zN77rVX7v536If/1/+V7+l+9+H3MjAx10RaMloVIq0ArNvnmCCb+Ti2ydpiQhCqBVCugNJh5M+KhVqrRaLSLJPI92L2lKUCiWsOhUuE0aCtei+2yxyk4oCbUyd/1GRp1GjFoVW+dJBMDpsDPsd1NDgd3h4KVbI1j0WtRKkXyl1nFMa8dRDi6TLI66KVb7yzGL0yOcJIqd7x3xWHjtMEEkX6NYl7Abu+WgOb+54xQGrFr2Ym14oV3Dk6M4O5EcgXYkOzXo7Yt0Na3+slCt2cKgVXd0m3ttxGNl9zLNVijJvaAVoEOx3Wseq1y7Ltca7GRF5qbkgapQIkexXOaWXaCH747aNTqMgE3P08MwB5EMc8PdeYSxoK/jFAAmPKaOUwB4clnhpfvzPJweZO3gnNc2jngwOdAnH3oQzTE5Pkq5pwflMKo5CnXLerFsibWTOB+4PdznFACmPUY+92SdMWf/DEeqIPdRCtUmPle3JOc0KDvXe2U/xP1hB69O+7HoVAw5jJ33TXqtHSLC00y9M3l8eyzIQUy+/04SRXTtDGDA7SSSlZ3Pk+MYD3pmOXqvbyiR5/ZYAJVSwXm8mwEKGjmrPwpFuDsxxOSQn7WTKOl8idGhAP/27/84//Yf/hR2i5H5UQ8fed+9d8UpQFcvYXZ2Fo1Gg8fjQaFQsLy8zNOnTzk7O6NUukmH/kYWi8X46Ec/2ono3y2LRqMdER+v10s0Kme3FxcXBIN9nGIh4Ote2OGFXlmFQsGDBw++pFd/O5oMAMVikbW1NUZGRvrUk65STEmS5KlmQeDVuWFenRsG4NVbg/zM//4pRj1W1k8inYEon83IkNdGpiZQqFXRKQUCVj35eosnx3EGnSbsJh3TI34qxQJn8Rzlao3NswRGrYq5ERfVhopEvsRVdHdvxMOjfbn8kj6MYNCoeGV+is9uX9ICkoUqow49j684aLJlPGYz91xaPr3ZL9CzMOrlj9fPMGrVPJz083j/ErNew36yW6YyalQcxLrZhFmr4ighPyhWvapD7mfSKDBolBzE5PKYVd1dELcv0ixO+NCrBKYdKg7SdRotSKZvzgicxrI8mBmGaH+ZrdfR7l/EWRxyInITWNA7UNWSJCItA/dvTSBJLZ4fXdJshRjyOhjwuKmpTGy2oaxX5jOrOW+v0ytHMRYn/KTzpb65C6DdLO9fuBXNOqlimUq7fPZo85h7k4Osn8bQa1QE7Eb++LWnvHJvlpYgEyyKKjWPYv336HTAwW4kh9WgYdhjZfUoSsCqZWNnj3qzRSGdYNFvp9oSKTXFDgIIYDecYXp4gAGLlk+tHvTtd3n3nKXZMfaiKQqVOreH3ayfJbH0ONhkvsL85BQrz1aR1IbOb0wXKjyYGOK1jQMuUoXu0KYEz0IZXl2YpZjPsxuK931nC5GFiSCP97tB685FCq1WQ6VSJZ3L4XB5O9+zMDWEw2LCYTHx6z//N/jV3/0U3/bqXd5N64Wk9paPyuUyiUSC3d1dqtUqdrsdp9OJ1Wq9AYeNx+N8z/d8Dz//8z/PN33TN72rx9trV+vRn2Z74T2GLzef8FY0Ga4skUiwurrK3NzcDafQaDT6nMJ1+3P3x/lvf/8Hseg1fVOyNquZjUSTg2SVZkvim2c9LAYMJHJlpr1GfuWHX+Kf/dCrOAxqzhO5viZ1rdFk8yzO471Llsa8KEWBeyPujlO4Mo3BwmGixLfcDeK36bkTsLJ82I1ARQE8evj0+hF3Bh0MtimZBxymTgOyUKnxaD/M7SE3d8eD5HpKVH6LimK9B5Y6YCVZrOEyqrjrN1Ko1Bl26BlxmTpOQSFA9NqivxfO8PnVXdZ39tEVI8yZazfI60AWptk4i+Eyd7MShSj2sbpmilUe714QjiW4HbB2tutUCo6uNVUL1SYGp4/140uabYTaaSTJa2vbqBQCt/1WfFZd51wdhvsbuCtHMTx2MxPubpRu1qo4u8acOm5V8mh1g0gyy0DPQOCzvTMWxnxM+51sn8rX5YvPNnn96TqZXJ7zAjycHUHd01toNCVihTrZaou1sxSzQx6GHfrO+Tq6TPDa8z2ebuww5NDiMvdnELuXKWKJOHPXSPw0KiXbl9lOGStXKKEUBXavcWutnSb5hvc8IJTuz+i2L9IsTg0hKtV9bLeSBNVyiUox1wdWAEjmSsSuAQbKtQa3b8kcQRaTAbGNhtNpVPz17/mGzvsGfS7+7l/5Pu5PD/Nu2ZfqKeh0OoLBIPfu3WNpaQmbzUY0GuXRo0esra2xvLzM+fk5yWSSj370o/zdv/t3+eZv/uZ37VivzOPxEA7LjjYcDuN2y703v9/P+Xlf8BcALm7s4OvM3p1c8Et94VvIGCRJ4uTkpEOud6UhLUkSrVaLVqv1lryy3ajjV37yO/jjtSP+67ND8tUm4RJ8ZEyPqllhdCjAD7x3BkEQeN/zMx7vX1BIxwmfHfGT7/WxOmHn/3h01Gmmzg+7eNx2AqvHUQxaFQVBz+2RAbmXAKg1Ov7qh29RqEv8zx++RbnW4A9XT1kccbB8EOX5WZKFoIVH2yeArKKmUyt5MO6lXG+xnupHwdQaDT77bJtRrx2NSkELmQZZoyxzO2hHJUrU6nWGLQrOkjlyNh1mnZrLbAWnqYtmuu3V0SzViKoUlNv1/Am3iSeZDACpQgWfvU4oV2NxapAnu92hKZNBSz6cwWnW0zJpSeYrzA66+vSlQe69nEQzEM8zPWBjL1Fh3Gtl/Roh3ZTPyqPDGHfm77K+tka9HSgMB7ysnqeRJHAYtQTtBrxmDY93Q/SbxGk8SzRTZGkiAEiYTCZeO85iM5swapSM2RQ8fu2L1BtNUrkibpvIsMfOSTSFxaClWqm8YRBjdfk4CuWI5sqMBAKcnp0z6DBwlLq+kNbZOkvhGRxDXc9yeilH5WqVkkcHMRrNFg8mA+xdxMkUq9wPmljZOsKgU2Mzmjq9rlujAZ739G5OEwXu+o08O73ZwM9UwWg2MaRXstWm6s6Xayg0OiIXMSKZIosTfp7sy+tOJBLhMpnD7R3omygPuKyUKnUEId1XElXoTDitZhCVpNv3xbe95w4Oy1ePbvpKo/mtNJoVCgUulwuXS2ahLRaL/Mf/+B/5iZ/4CaLRKO9///vxeDy0Wq13bQL7yr7927+dX//1X+dv/s2/ya//+q/zkY98pLP9n/7Tf8r3f//3C8BDIPv13l+Ad6H5XK/Xv+ScQigUotlsMjQ09IavX+GcFQoFMzMznQv6dp3CG5kkSezt7VGtVpmdnX3Tkler1SKTyRCPx4nEE/yblRiJYoPVa7oFsyM+dlMtHAYNxUyMqtrGw1EHv/6jb456WDuN81ufec5/fG27rwl9f8TNwUWMsYC33ZAUcJi0qIUWl6ke+OxIgLOaHrVCxGFQUatWCWfl0pFCFLBZzB2Rm4fDNpqNBhqxyUUoxG4oweJkgGeXRcZcRuKpTB/Vw8MpP4/2Ixi1KrTUiWfkbCPgsRFqR+N3hj2snydZnAywctTfZH4w6uLRnrwoaVUKxr02Gq0We/H+uYXFESfLB3KkvjRs4wuPn8qff/CAtfNM530CMGET0On0rJ71Tn57eHLYT+0wNzXBTqR7nlxCDq9Zw9Nna9Tb/RGNSslLs6M83T0hX6qgUSmZHvbz/Fh+TrUaNfrgTB9b7oxDiVar5elJ/7Wf81tZbwv2BB1GQieH1OoN7k6PsBHpLsI+m5Exp57PPF7tZJ+CIPDw1ijLR3EmxkY4uob2ujfiplKp9gk9+aw6osVGZyFfHHWzenDBwvgAm6FkJ+NQKUWmPEayqTRn5+eyg5odY6XtaFwWA9lSlVqjyYMpP4+2uwGAz2ZCX0+zeyaf24XZSX7xx7/vDajG3x27cgoul+sdo48ymQzf/d3fzSc+8Qk0Gg2///u/z7Nnz/j1X/91FhZeDFL04x//OJ/+9KdJJBJ4PB5+9md/lu/4ju/gYx/7GGdnZwwNDfHbv/3b2O12JEnix3/8x/nn//yfHwEl4IclSXryQg7kXbSvumOIRCIUi0XGxsZuvFapVFhdXWVgYIDBwa4s4ItwCvV6nY2NDSwWyxuipd7MJEmiUCjw+4+2+MXfX+8hmYOluUmetevcOrUKpUrNX/uGCX741dE3213Hwqk8v/jvv8h/erTLsNtMJpsj2W42+uxmRv0u4rnyjZmD2dt32Y/LC/ZCwMjKcXfxuD/q5llIhvjd8sii7lKzgaae75QmBAEmhwM06zUOI/37nvA7O993Z8jJ2u4pwx4rJ9emir1WA8N+D48P+hfnEYeeo2u8UHNBO1vRrmNQiqBV0JkNEQWBWZeKTDbPRdPYD9n1GtnYkwe8Xro1zH6shFqlIF+u9UFuTToNdZ2dRntobcKpYWv/GIDFEQevtR0PwOTkBDaDmmcb29RqDRSiyPzkIM8OLrk7O8V2rptFmNUCA9oGBqOJZ2epjnCNzaAmkyv1lRkXRxy0GjUi+XqHawnk6e2NswQLgza+sLLWd24+9PAur5/m+qb0bQYNhUodo06NVpC4bCPTbg+52LjonltRgPdOONm8yBLvEWASBXCSQyMKHLWzGFEUmBwdZj+SZXbIw2YbvScIMrXLo+1TAB5ODtCqljqIph/8H9/L//2vfh9fDXsRTiGbzfI93/M9/ORP/iQf/ehH+/YtSdI7UoR8gfanqunwVWVXhTfvMaTTaVZWVpicnLzhFJrN5lfkFIrFIisrKwwMDLxtNldBEDCZTHzfNz7kv/zs93dqxB6Lnuch2SlMe8389LfMcidg5ZXxtyY05LOb+H/+yP/AJ/+v38eoy9RxCiDj0qvVKvFUuo/k7dZosOMUbDolz8+6tXelQqBYqTPnUvO+YSNqocmv/uX38j9/wwSxTI+mrwQOsUwy21+PN+vVHPbQZj8/TTAVdOO23YQVe+wWVk/iTA50MfrjHssNp+Axa9mKlpkfcqJvT0nfHnR0nALIzeitRJ2JyUlmg04WRj0dvQSjsrvwvr51Qi6T5HbQcWMOY2bE33EKAFS7v23lJNmRpFyYGeMwkubJYZTRsXFMei3NVovVvVNemRlEZ+6fOZh0aNg4ifJo44AZp4arOGncY+lzCgCnyRJNUX2DbC9dkHtZyycp7t+dx94uywx5HCSSaUz1NIsDus6+Jwdkzql0oUKlBffGfNwe8WAwGZkY6M463HJp+OOVXRqFTB8SbNwscZkqEi/W8Tnl89hqSaSSCUbcFvZ7qDwkSZ5VGfbYmAo4ebK5z9P9C0YCXh7OjfN3/qfv4qthL8Ip5PN5Pvaxj/HjP/7jfU4B5DXna+wU/tTZC3cM70T3ORQKsbOzw8LCAnZ79+ZvNpud94qi+I6cQjKZ5Pnz58zOzuLxfGUpsdOs5//3U9/Jz37fewkGBzsR5I/dNzNClL+yaMark97yiD/ATNDN//cnv5v/25//RrRq+eadH/WxvBcilS9jVEr428ykarMDAYkJp5a7fiMTnu6iPec1sr13SLWY529/xwK/+Vc/yJDTxHe+MsN/+jsfZ7qtqTzlMbK8uo5XcY1byGe/sdgp1JobGQvIcMJao8VxNMfimAerQYP0BpO1g175O9dOE+g1apbGPG+Yg054LXx6L94WQkoRypR577iNR9vHfe/TqpV88SDOg0l/hypEr1Vxlu0GGna9gu0etlFJAsHoYGY0SLLa/fL9yxQTEzJsdml6iGf7p9TTcgbk1cm62Mc9yKK1ozCLQQtTHiPUqzf4olxmHasncWaHugN/MwEHZ4lu/2D9PIVrYAizQYvPaeH50QXRdJ7X1vdZ9BvRa5Ts9SCy0sUqh9Ecl/kmjw8TnCTLHW3sbNsBJQsVfO0+t1ML222dikK5is1qQdE+T7F0HrtOYMJtpPci1BtN7GYDsWiceqNJvdnku77hZX7z534cneYNVOxesF01mr8Sp1AoFPjYxz7Gj/3Yj/Hxj3/8BR/h/znthZeSGo3Gl0Qd5XI5Tk9PuX37dodxtVqtcvv27U7N/0WUjgDOz8+JRCLcuXMHjebFywn+yXaY1w/i/K1vu0Oz2SSZTBKPx8nlclitVlwuF3a7/S03vs7jGX7ht/6E5yeRPoy5SiHyvnvTJGoKLhJ5suUa37I4wbfMB/jfP7ODQaPgH3z8ZVqShFmnRvMG+PJ0oczf+OVP8qnPvdbZNj13p0PAd2/Mx7Pj/p7B3RE3rUadtZ6JY6VCRG809w2DTXit2IxaHu2cdrYJAvhcDiI98qUus45SHVwGJcdR2eEolSJeh71DPggwZVNwkijg0LT+/+29eWBb5Zn2/ZMsyZYlS7Jlyfvu2M7iOM4OJQ0BAgQSm8IQQjMvtJSW0kKhHUrp0BbaaSnD22nLS5dvKGUpFArEZkkIARqgBZqd2IkTx7HjfZVsy7Yka7Gk8/0h69hKAtmkxE7O7794kR450rnO89z3dd1h84qXzi0eTzeF4vRg/SQzxUjfaHASX2wM4POw7WDrMa9/eVEyHx1oD+vpj5HLWTE7gy0f7QquGchJS6bTMsiS8lL6AloSlX5qGiZe19wcEzWNbRRmmLB4lYx6/WQkaekcHz2qVinITtaSMD5SdM+RcLd2ii6OgqRYPqppCBNiRYyc5UvK+GdDeGvpoqJMdk86LkxOiCNePkZzS3iiak6aiYLcTHp6ejlweCJfqTTHzP6mduYV5dBqGWLI4WLJnAJ2jY96lRGcd52gVlFbf5j1Kxfz09vWoDgNI9mpEomdgtPpZO3atdx666185StfiewCI8u0Oko668IwOjpKQ0MDs2fPPq5DOhKiEBIcv9/PrFmzot6RcLznDxWvBwcH0Wg0mM1mjEYjSqXyc3/XNjzMT/68iQ8b+rCPTzeTyaCkuISmvuDFx6hV88FPvoQ6VkH3oAOvP0CuSfd5DwsEM3X+/aH/5VBbsNiaajSQakrkiFOFKjZWfL4QiwpSqO+wkqBW0j0+2H5ObioHe8K9AotnpFHT2k9ibEAUgryURNqOaq1cUpTOziNWEjWx5CSp2dvcE7zwtU4ciali5Cj8bhzuMWKVMWRq4XDXAOpYBTJ1YpihzaCJY0ymwCW2YwqUJKuwj3rD7tRzjRraO9oon5EdFrO+uCgzGBWRk8iOmgNhb/YvLPuiGKse/H49AAsLTOwcP5MvzU+nzQ5zspPZMckTIJMFxTxNp0Ibp8LhCYy30gpkaeW09tlYPCOd7QeOiL+jUatITUklyaDjUK8d95ifGLmMBG0Cw5P+XwxqBfPS4qlpbKd/eGLXl5SgJr2gBIvdg3ywle6+iU6w8pwkrCNuMeAxRi5j4ax8djf1sag4kx2HgiJz15olfO+G5Wfl8xIJURgdHeWmm27iy1/+Ml/72tcivMKIc2ELw+Tjn+Ph8XjYu3cvgUCAwsJCsd8Xjm9aO1W8Xi/79+/HaDSSk5Nzzo0moeK1xWKhv78fpVIpttjFxYUPbxkYGKCxsZE5c+agjo/nT2/v5LFX/sHC2TPY2zV+bi5XUJ5n5pXvXHFa67HZnay693/omjRR7PKl8zlk82N1uAm9f2UySNbEYh0ZJT1Ri8PtZtjpYUFxDnsndejIZJCUEM+gw4MyRkZhqoFhu51kg4597RMXJ2WMHJ02XgziAyhO0+MXEAUPoDRDR+2RiYtsjFzG/NwkfP4AezvC/RCLizLZ3TrxHKEYi+QENSadmvquQZQxMpIVHjosNuQyGTPzs8a/LkevUTNgD+6YZmYkcuBgPf5AAJVCgbZg3iTBgYtyDdgHLXT1D9E3KapkZm46XqWW1r7wI7c5mUliC7MxQY1CFYtRE8uBpjbx77ZoRgbb64KGt6Vzi0TD2ZKZORyxjjIj08iulqOiQVJj2XmoDbVKwYxUA/tag3f+iTotLm0aAQEyDGocnYfpG7AxM9tEW1cfxdkp7Gu1hPlULi6dwcHOAYZH3dx+9SJ+9OXoOYMnEwlRcLlc3Hzzzdxwww184xvfOOef85Ngyi9wMme9+Dw4OIjdbmfu3LnHiELItHa69QSHw8Gnn35KdnY2ubm5U+LNEipeFxQUsGTJEmbOnIkgCNTV1bFz505aWlpwOp10dXXR3NxMeXk5Wq2WGLmcb167lEe+voYDfcG7cJ1axb9fUsSPv3T6bXeJCRp+cMu1YV/rGRnF0tvNomyD+LWCSZEM3TYHqYk60pO04oCdEKn6iYv9mF+gvsuGISEB21HjKWdmGsNEASAuLo5+dwyzctJYUBA0MMqO6mjzBwTsrjGciRNREgAARCJJREFUDifphgmDXZpBzadt4f4IdUxoJkSwm2vxjDSW5BvpsAQvrgFB4MCRdhYXmCnKSBZFAYJGsSXjkdYzS2aEiQLA8NBgcGb4UHjRXpWchZ14lpbOQDse2DgvxwjCxO8P2F3EyQUCYxM7KEGAnYe7WFiSS5JOw55J7bc1TZ0kqgQCgoyFecmkjkeKGNQK9owPfXJ5fexr76dovOZQUpgrzt7oGnLhS8rjiiWl9FkHcLo9fHq4nbK8FHGWiU4Tx5EBN6pYNasX5PHV5TPxHpWKGw0iIQput5v169dz3XXXTRdRmHacNWEQBIGmpia6urqIj49Hq9WKXw/tMmQy2WlvY61WK3V1dcyZM+e0RoaeLdRqNdnZ2SxcuJB58+ahUqmoqanh8OHD6HQ6XC5XWPH6pi/MZFZmEstK0vmvm5by0A0LKc06NonzVKhcVs7qLwRHGeamm2no7CcgCOw93Ea2MZiZk3TUKMrD3YNkmI3kpSSypCgd5fgZdMJx6pPxsTEoYmB25kSXz9GeEZkMhj0w4h7jUK+dvZ12Li5OZ8grkJlqonh82E28SsGgzUZ9h4Xe3h4WZiWQlRRPhtkYNoRIo5SF7TR8AYEDHQMctitJN4d3im0/0EyS5tg6zL4OG7MLc0kymVmYqUE5nvldmBxHTWMHexq7WDozV/z5/Kx0DvU6GHaNsbttGJnGyEWz82ntHWB/a3htIVmvxS0o0GvCI85VMTC3IDPsTt4z5ken07Kn2cruI31YhxyU5RjJN8Yd40yPi1WhUsbQ6Qy/OBYZ4IOaJvKzJ2J59jS0MWd83kRhfj4DDg9KlYqfrF+J1+sRncMtLS04HI5TaqI4GSIhCh6Ph//zf/4P11xzDXfeeackClEi4kdJxxvv6fP52L9/P/Hx8RQVFbFt2zYuvvjiiJnW2traGBgYoLS0VHRJTwdCZj61Wk1eXh6Dg4Ni8Vqv12M2m8e7tGTI5ZH9ADhG3Vz7H7/GaE7l00kX1IxkPUqNgUG7K2yEKsDcGdnUdQTrATNSdBzptVGclkh9T7hBy6RVYhlxIZfJmJ+fQu/QKCNjAo7JybM5Zg5M8jfMz0xgX1ufaPpTKeTMz9RjHx6ktjncKJqXZkSt0RIfq8Lpk9M6MMq8TJ14Vh6iOCOJpmHIToqnu6kOpyu4Y9HEqVDExVOUaaKj3451kit4RVk+dW0WrMNOijOTkak0jNkHaOwK1iZkMlg4I4Ndh9r5wuIF7O4Or6PMN8dgHxpEplBwsGNA/ADNyDDR1GNjVpYRl9OJUqkgJjDG/sPNmAxaYhOS6LZN1AwWlxbz6aRjsjhlDItz9Lz/aUPY88lkcMWi2Qz7g+97h8eP2+Om5XA9ghAshs/MMLCr7jAAyYk65hYXsr15AL9f4NnvVvCFmRNRGqFkU6vVyujoKImJiREZzRkSheTk5KND5U4ar9fLLbfcwqWXXsp3v/vd6SYK02ux0RaG0dFRamtrycnJIT092E/+r3/9i4suuigiReb6+npkMhklJSVnvch8Jni9Xmpra0lPTz9mRGEgEGB4eBiLxSIWr00mE8nJyScsXp8Kr/yjhvv/9NYxX790fgk7j/SHJarq1LF45LFhZqylBcnsOmJlsoWgON3AoaNyfhbPzGOfxUN5RoJoplo4IwO3045aHcewR4ZGreJA9zBFKQm4HSMoRy3UHm6jMNOMV6YUh9IAzCrI5lDXRMG6MC2RgCATI6RDlBflsK87+Hv5BgWH6+vQa9XEx8fTPRS8oOeaDWjjY2nusTE3P5Udk2K5dfFxZObmIXcNsa+hOeyx52SbiDPnsn/88WUI5BlU9HY0MzSerLpkZjY7j1jIMRmOyXEy6TUkyFw0NAfFLC89mSGfihGXF5kMzGmZDEwyriVrY+m3DTMzRcPBDgv+8f+HFKMOnzpZzNKSy2QsKzKxZ98BbCMTQjM724zbZSc+MQX3WHA2tyAIvPT9z/YqBAIBbDYbVqsVm81GfHy8+D48lRuwSIjC2NgYX/3qV7nooou47777ppsowDQThqi6PgYGBjh06BBz5sxBr9eHfe9Mi8wej4f9+/eL6YvT6Y3icDioq6tjxowZGI3GY74vl8tJTEwkMTExrHi9d+9eFArFZxavT5V/W1bGi+/vpebIRAigUhnDwc5BZmclsb99QBSCktwUdreEh9k5PAFmpCWiiJFzYPzuWHkcbQ7EKPH53exqH2ZJSTZxeGnptdJqGUYhl5GfmytGYXQPOknCSWycGgE43NFHrFLBwuI8djdbWFCczd628HVo41QMOT1kJ+vEbiRNnJLG/omdQPOQj7mzZzI61E+jdeLrrZYh5DIZF82fg/eoWcQlRQXs7RhGExtLWUk+tYcmxCEpUU+vy0uuyk6iLoGEhARa2rtEUYDgtLWZeelo1PHHCEN+hpnOQSeF2X6a2rto6e4n05RIRoYRQ5KZXa3hrzFFI8cyKHCg10FZYQ61ja0EAgK52Tl82j4k/tyMND3/OGwlLSWH/KwxbMN2LAM24uJUuAMJrF6Qz9evDs45bp5kaDweodGcRqNRzCKyWq3U1gYd3MnJySQnJ6PVaj/z8xcpUfja177GokWLIioKv/nNb3jqqaeQyWSUlpbyzDPP0NPTw7p16xgYGGDBggU8//zz0+oUIlJEfMcgCAIej4e2tjb6+vqYN29emIfA7/dTV1eHx+PBbDaf1gXObrdz4MCBz7ywTmUmdx6F6iyngsvlwmq1YrVa8fv9okhoNJrT+sC0W2ys+8ULdI/34S+ZXcCu8d77grQk5PIY2vrtJBuN9E06cskzJYSNoixJT0Qbq2DXkfBjn7QkHfaYBBRyGWWpapo7e+mY1Eq6dE4Bu9uDd91xChl6v43O8e/PzDTS09WJ1TaMOTGB0sJsDg94w7wRALOyTNR3DqBWKShMTWRfm4WFxdkTnVyAWinD7xhmTraRHQfD7/5n52dweAhiFXI0fgcWW/D5U7MLGHBODD+aa1Ky/1ATJTmp7G3uRamIEXOY5s0uYdDpxdbTjn00KDDGhHhkchnF2Sl82jIg7sAyjDp6RwMIAsQqYphplLOrtg69Ro3HB/PnFFPTGxSYMT/EK+UIPk9YhtPCAjM2+yidblWY67swVR/W5VWYHEdvTw+6+Fhuu6KMWy4vP+Y9cDp4vV7Rt+N0OkXfTmJiolhPCgQC1NbWnpEo+Hw+vv71rzN79mx+/OMfR0wUurq6uOSSSzh48CBqtZq1a9dyzTXXsHnzZq6//nrWrVvHN7/5TcrKyrjzzjsj8ZTT586VKPkYampqkMlkYR6Co+sJbrcbq9WKxWJBEARMJhNms5n4+PjPfXyLxUJzczOlpaVhI0OnA11dXXR3d0fMcDf5PNjlcmE0GjGZTOj1+lP6AA3aR7njNxvYdbiD/OwMWi0TNQOVIoblZQX0DLmo75240C7MN7P7KPPWopk5yIUAO+tbRfPWsrmFeIQY2vsd2O0juLx+8s0JxMkFRsd8GA0GnC4XcUoF2hg//9h3JOwx81IMGONkyOQx7DzYjDlRiyHRSOP4xW9+fmqYMU8hl1GaY8ITo+ZQz8QFsjhJQf14KN2szCS6+qwM2kdRxMjJyM6jezh4MS9OVnGgqZ2CDDPt7vA7xRxdDBnxAh/uD3dkq2OVoDUx5g9QlKqjsaGBMZ+fxcVZ7DwcTIbNT02i3xXA4R5jycxcdrWEH7ctzDZg6WqnqdsqjuaMi1WSk5VFnFrN/o7wHYRMJuOi2Xk4PH4aeu34AgIl6QYaeofFvKmkeAVy1xC9Ngf3Vi7hO2uWEA0m+3ZsNhtxcXEkJyfT19eH2Ww+I1H45je/SWFhIT/96U8jeirQ1dXF0qVLqa2tRafTcd1113H33Xezfv16ent7USgUbNu2jYcffph33nknEk95YQvD2NgYHR0dpKenn7Rpzev1iiLh9XpJTk7GbDaHbVEFQaClpYWhoSFKS0sjetYebUIdWS6X63NTXc+Eo53Xk4vXJ1N7cbq9PPryh/z1o/qwr2vjVCjiNIy4fSwsSOHT1gGUCjlxihhGJhuvNHGMyuPw+QUyDGoUPhduQc6gR4YvILAgUyu6bSE4PyHTGM/B8eju+Vl6djW0U5pjwuny0txnI9OoY3DUy+j4nXJ8rIJ8sx6Z10ligpp93XZSEvUc7g6/aJZm6IlVyOl2K+h1BH+3PE3NnqaJ3UxWcgL2kWGyUpM50B/uuylOlIFMjlwmwx5QMujykxQLbft3Y0iIR6030jVp11JWlM0By8TfYlGOHtfwEPtbe8K6iMry06jrGmF2QRYHu8LrIYtyE/G4XdQfbhKL5ACFmSkkGM302930TC5OF2exu8WCIECuWUd6kg4/Cg5028hM1JCoUREXI2NX3WFyzDqq/3PtMbOjo4Xdbmffvn0AKJVK8cgpISHhpC/ufr+fb3/722RmZvKLX/wiKkfFjz/+OA8++CBqtZorr7ySxx9/nKVLl9LUFPSWdHR0sGrVKnF85xkyrYQh4jUGpVIZVkw9GdOaSqUiIyODjIwMfD4f/f39Yn+/0WgkOTmZjo4O4uLimDdv3rQqMk/uPCotLY1aLSQmJgaz2YzZbEYQBIaGhrBYLDQ2Np5U8VoTp+JHX76MQ91D7Jl0HJSTkkj9uI9i95E+ynJNaONU/OtweLJqcZaZXe3BnUbXkIuyrET2dQ0DQnAWwSRRyE3WkKKLY8eRYKfPzNQE9jUHi77726zIZFCWl0KiXkevzUGvzc6Qw01CrAL7sI3mngGMuniK0wwIuCkyx9Np8zA63tFkHxlh73gXUVayjpTMrGOG/XT02ylMSyJOrUEhHwmLyuj1KDHFBT0ZAMoYGQaFjBYhgHXITrIgkGFIFsUhNk4DTAjDpx0jzM81M1utR6OEnj4rrT391DZ3s2xOPgf7HejjYhh2B9ebY9Swq6Edf0BAozWypEjHjtpDACQmm9nbakWpkLO4MJWdTT3My08TRQGg3WonXqOloSe4C2nsG2F+nol/Ng+xYn4pP6mYc9ZEIRAI0NTURHZ2NllZWYyNjdHf309bWxsOhwO9Xi9GxXzWDZLf7+c73/kOqamp/PznP4/KZ8Zms/HGG2/Q0tKCwWDgxhtvZMuWLRF/nulKxHcMENwBCIIgmtaA07qY+/1+ent7aWxsRC6Xi8dNZ9o6d7b4vM6js0WoeG21Wunv7z9h8XrAPspPXviAt/c0kZmkpdclC/MLxCpiSE/WYdTGIZPBp81WFAo5RmMyfeNTweZkGBgedWNS+XG6XChlAn1uOUJAIEOvor7DwqhnDLM+nqIMI8MOlzjbAIItmOVFOdS0hcc6xOPl432N+CZ1RuWkGDCpFTg9Hnx+Ab0ugcMd1rDdzMKZuVgdY2g18RzpHcYXEMgzaUiMlbGroQ2tOhZtXCya5DTMunggwM7DEwX5GWkGDncNUJaqZnftASAYs15SkEPTgIsYfUpY4mucUk5sjFyMsohTxlBiVCCMjrC7voVEnQa/309W/gwO93tYmK1nR0P4iNeydC3K2DhqOobCdh3lOUkoCbCrZ2JXsaAwnZrOiWMzmQyyTAZGXGNs/cFKtLFnZ3d9oppCqNsuFBUTGxsr3rCE3ouBQIB7770XnU7Hr371q6h9zl999VW2bNnCn//8ZwD+8pe/sG3bNl599VXpKIkodSVFIiobgt077e3tlJWVodfrsdlsWCwW0QxmMpkwGo1ROZo5U07UeXS2CDmvExISyM/PF4vXBw4cOG7x2pgQz6++chkL01T0eGN54V8teCe1rZblpbCr2UKrNVgwnpWRRJpRz7Dbx/wsPb1Do5RnxUMglqf/vo/5eSb2NHUxM9NISpKerfsnvAYDIy76NXYOdQ4wJ8dErFJBTbOFhSXZ7GqZEAW1MgbrgI126whmk5lUnYq94w7guBg5zVY7BWmJ7G9sp6G9l4wkLbE6NdaRYAHX5vIFC979I8TIZVxckk1dUyuN9uAdv33Ug33Uw8wENUMOQZzYFyJ+fMRno22MixaW0d3TS1tXH/VNrZQWZWMLuOnwTnyU5mYb2TlphyRDoMc6SLpeTUAQxMhzx4E6Lpo/l31t4bsvgLiERATAH5hYS54xHq9zmJ2H25g3t5SDFjcFxljs3qBQymUQEKA8z8SnbUN8c0XRlBEFCO+2g2Are+i9+Pvf/x6DwcDIyAhGozGqogCQnZ3N9u3bGR0dRa1Ws3XrVhYuXMiKFSvYsGED69atC5vEdqER8R2D1+ulvb2dlJSU0462gODc1Pb2dubOnYtaHe4WFQRB7PMfGBgQQ+qSk5OnRO76mXYenS3GxsbEDieXy0VSUhJarZbW1lZmz56NXq+nqXeIP723n9d3NTE3x0xNe3gMxRdKMpiRbmR2hoGK+Tk0dNuYmRl0Zn+wvxXLkIPKJSXEqRT4AwG2H+6melsD79W0MCNNT01zeAH7ktm5DI560aljGRwdY8jpJiEmcMxQoaUzUgh4XWw7OJF8atZr8HlG6R8ZxaBVU5ybiSJWzY5JF2m5XMacHDNymYy9h46IxzHKGDnlhRnIFSp2T8pkMibEMexwhfk3FDEyvpCjo6W9kyPj0dwzslJQqWJRGUw0DIyF3eXPT41lZ30rMllwN1XT0Cp+b+GsQuQxCmq7RvCPL0YfH4tcocLh9jI/P4VAQCA+VoHHNcqndfWMuj0Y9VoyzUY8ARmuOBMqRQxdg04Wz0hBUMZjiFfy6A1laGKj/3mIRPeR1Wrl+9//vji9ccmSJaxZs4arr746au2iDz30EC+//DIKhYLy8nKeeuopurq6WLduHYODg5SXl/PCCy9EKpl5Wu0YIi4MXV1d/Pu//zsej4drr72WioqKUxqOIwgCR44cweFwMGfOnBNe6I8OqVOpVGIb7LnoP45059HZwu/309raSkdHB0qlUnS8hs6CB+wuqnY08eu3asSL3jUL8vnO1XMpMJ842fVohpwuntu6j+c/2I9tfLZAWX4q+zvD5xAvLkzF7R1j2O6idTyCuzBFj93hxOPzMSMtkcMdvQyO5zqV5aeiV8dysK0X67CD/LRkbD6leLS0uCiDXeNF6AX5KRw40o7T7WVJSTY7DrUjl8mYW5zPkGuMTpuLhQVmdjWGt+CW5Zg42GGhUC9n36Em8eupyUmQlEVGYjwOlxeFHFxjATo6OsUuLblMxsLCVGoPHWFGVqp4hJaRpEWrN9BocbCkJFscfRpiZqaR+s5BClP1tB1pwOkK/s0uuegidndMmP+WzMxhd6eDP3y5nBUlZqJNJEQhEAjwox/9CJfLxR//+EcEQWD79u1s2rSJn/zkJ8fcGE5TLmxhgODF2mq18tprr/Haa68xMDDAqlWrqKioYObMmZ8pEj6fjwMHDhAfH09hYeFp7TZGR0exWCxYrVZkMplYkD1TM9iJCHUejY6OMmfOnCl5vPV59PT00NHRwbx581AqlWGx4ZMdrwPOMeq7BolTxrAg34xKcWav0+n28s7eZv51qJOdRyxhsRAlGUk0dA4QEARkMpiVacSgVtDc2UfXwMTFUBcfi0EVQCCGviEnnjEfc/NS8Xi9HGrvJcuUiCI+gfYBJ5kmfdjvFqcn0dzRhTImBrsrPORvycxcvCgYcnoYdvkYHv/+rIxEDnb0k56kpftIvehl+MKSRezqCI8kvyg3gY+Pam9VKWIoK0ijv99Gc294UfzyRbPY2WoLC/EryzVT2zpRgynNSmJvzV7i1XHEZ5SIrucYuYzklFRKUhP40y0LT/4/4TSJlCg8/PDD2Gw2nnzyyWn3uTkFJGE4GpvNxsaNG6murqatrY0rrriCysrKsA4jq9VKS0sLWVlZpKWlReJpw7wSofN0s9kccf/D5M6j0xW0c0Uoa8pms1FaWnrMDi3keA3tyELdT5FwXh/NmD/Ah3Xt7GjsoanHxv42C0POiYu1MkZOvkFFa98gc/PTqGvtw+kZI9cYjzcgx+H2MjMrGavNzpHxEZZLSrKwDtuJU2vRqGM50GkLi/rINCaQYzbQah0hTa/mQHM7jtHgc15UOkOsFSwuymDnkT5yTTraLBO7mkV5Rv61cw+JugTUaQX0T4qxmJ1hoK6lm+IMI3q1kp31LQQCAiVpeg712YN3/91WvOPdVClJOnzKeGKVCnLMBqwjbmxON7FKJZbhcFPf0gIjXlkcNZ0TnpP5M9Kp7fXw//37fJYXRTdIMhKiIAgC//Vf/0VPTw9PP/30+SwKIAnD5+NwONi8eTPV1dUcPHiQ5cuXk5OTw//+7/+yefPmqHXvhMxgFosFt9steiVOpbf6sx63traWtLS0006MPFcIgiAONJo5c+ZJFfuOdl6H/o6n67z+PPqGnPy9tpV3a1sZGHbg97g4NGlsZ6wyhuJUHS39o8fc7S8qzkSrUjA0bCNBq+Gf9T2AwGVlBexttWKzO5ErVJTnp7F30oS6/BQ9FouFOJWKUUHJ6HiQYDA8L51AQAiLyAaYnZlEkl7Lx4cnjHbKGDnpCTFhZsHFhansa2pHpZqYDW1OiEWjgB6bk5TUVNr7w3ccXygtpGVglOykeHYeCnYuZSXFMzRgoTg3gwMDATy+8XnReVnYXD7+cd9ycfRpNIiUKDzyyCO0tbXx7LPPTonaYJSRhOFkcbvdPPDAA7zyyiukpaUxf/58KioqWLZsWVTrAz6fj4GBAfr6+nA6nSQlJZGSknLKjuGp0nl0OoSiSbRa7SnVgCYT6lG3WCxi8dpsNp/y3/FkcHnG+Ns/9vHHTTuwjk8u08er0CUGZ1WnJsSypyHYqZSs15BgSKTNOkKeWYfCM8LIyAhZKUYGfSqO9NqIkcsoTktELviwOsew2CfaW5eVpNHQM4RlkoktQa3C63ZTVpDO7ua+sBbeJUUZ7GjsIdWgIS1JiyJGgRw/Oxo6w15DrCKGi4tS2Vob7u6Wy2QsmJGB0+Whsc8ueiqKs8y0DvnEf5dmJqJgjIDbSf+wk9YeK/GxSgozzSTptHhRcFFRGndHyeEMkROFxx57jMOHD/P8889fCKIAkjCcHIFAgO9///t0dXXx9NNPo1Qq+cc//kFVVRUff/wxZWVlVFZWctlll0W1+BQIBBgYGMBisYiO4ZSUlBN6JaZL59HxGBsbo7a2ltTU1Ijtcvx+P4ODg2F/xxMZmU6HUY+XR194lxc/PkTJ+DS2EAUpBnQqGUMegRbrRGdRvllHikZBz7CbVsswi4vS2dPUjT8gsCg/mba2Dgoyk7GOyul3uhF8PjJNeixDTizO4JyQeXkm9jYGTXjFmckMuXxYRlyU5pio6xgIK5jnmnU4XF7SEuPZ3zqxi1hcmMKOQx3kJWsYcvkYHA/cWzorT5zelmlMwKBW0jvsZEyhwe6Z6Iaan6UXzYcqRQxl2YlsGx85WlaQzr7mbt599BvMyIjOMVKkROHXv/41+/bt48UXX5xWCQZniCQMJ8vbb7/N1Vdffczdpd/vZ9u2bVRVVfH+++8zY8YMKisrufLKK0lISIjaekKZLxaLBZvNRkJCgjirefLFbbp2HkHwKGjfvn3k5+dHbaDR5HbiwcFB1Gq12E58JhcCQRBobGwMGii1Jn74wj+o7wy2z6Ya1JjUMTR0WPCM+ZDLZMQqFVxUWkBjz7AYzAfBI6h5eWbkBHD7Anx6pJcMgxqVz4lz1EVcfDxmQwK79h1iWflMvPJYRtw+Rl0uPL4AfSMeNHFK5uWn4fD42ReWYyQwIy2Rxp7gKNH5BSm09AxiTIijucsqtr0mauOYkW5EJo9h15HeMGHRxCrJTTOiVcfRNeSmZ9hFvkFJ34gTu3uiPlJg0pChVWAdcbK/pYdLywp49vvrTvvv+3lEShT+3//7f+zatYuXX375QhIFkIQhsgQCAWpqatiwYQNbtmwhPT2diooKrrnmmvEhNtFBEARGRkZEr4RarcZkMjEyMoLH45mWnUd2u526ujpmzZp1TAx6tIhU8To0e0OhUFBUVIRMJsPnD2B3eYlTxTDscLH9UAdPvb2LA23BmkFGsh6bN2iwnJtjYk9jDxkmHaoEI8Z4OTv2NRAQBOKUMcxJ12F3jnK46QjeMR9pyQYS1HEc7uhjflEWew4Gj3+SDQkY0nLwoyBG5qe1d5C81CRMRgP7O4eZl2cW7/5D5Jp0mLVKdjV2EZh0BpWTkkj/qJ852cm09tmwDDmRy2XMzkllf/tEyF58rAKDRs2w00OSRkmXbZTYGMBuxe7ysGRWLr1DLjb85BbMiZG/cYqUKPzhD3/g448/5tVXX70Qo6wlYYgWgiBw8OBBqqureeutt0hISGDNmjWsWbMGs9kctW4gQRDEi+rY2Ji4kzCZTNNmxxA6+jrXqbRHd4qdTPE6VA/R6XQnnOUtCALPvreHX234iMz0VJp6JoxxM7NTcMni6LQFawez0/U0NjdTnBzHrkNt4z9jxjEyRFu3BYM2nvi4WAZHnGSb9TS0djO3pJDRgAKDTkNNc3gRemlJFrIYBfu7R8R2U128CqUgMOBwk5aoISNJy+7GTvTxcWh1CWLrbIxcxpxsE0kJ8fzjYEeYgHxxTg6WUTCpZew90h082koK8MH+FkDGVWU53HzpXOYW50c8LiYQCLBv3z6MRuMZicKTTz7J1q1bqaqqmjafmQgjCcPZIJS2WlVVxZtvvolMJmP16tVUVlZGfHDP0Z1HLpcLi8WCxWJBJpOJbbBT1YgT8iiUlZVNqQ/l8YrXJpMJg8Eg/v/5fD5qa2vFgUwnS01zL/f++e/i7AeZDGbk59FsnYgOn2uKQRgdxmIboW3cPAegiJFTmmVkcCg4B2JXfStadSwlOakctrgYGZ+3UJqXRmvvIGWFmfgDAWqOdOH2+jBo1JTkpXOoz0m+KSHMgwAwJzuZuDglu49Ywr6+uDiLXc1WEjWxFKToEQIB1Go1tV12PGM+TP4B0kwGxgZ72banhqXlc3DK1Gx+9JthsddarVaMizmT45pIicKf//xntmzZQnV1ddT9RFMYSRjONoIg0N3dLRrqnE4n11xzDZWVlWfsKzhR55HH4xHvgH0+X1hk+LnmRB6FqUSoeG21WhkeHkan05GUlER7ezs5OTmkpqae8mPaXR427mxkW0MXWk08K+bmsbwkjX0dg2zcdpDnN75PQBBITIgn2aClsWsi7mNxcTbOUScNLd3MLcxArYqhvrmL7Kx0alrCA/+K87JI1MSy/UD4AKBFJbmMesaw++TizkAZI2NmppF9rX3MzDQRr46lvmuQGRkm6rqGRId0sj6euDgN3UPBAvVsk4q9+w+g18Qx0l6PxzuGOk7F67/9EaUzssXnnJwEMDAwQExMjJiHdSo3LpESheeee47XX3+dN954I2I3TkNDQ9x+++3U1dUhk8l4+umnKS4u5qabbqK1tZXc3FxeeeUVMZNpiiAJw7mmv7+f119/nddee42+vj6uvPJKKisrmT179iltswcHBzl8+PBJdx4dfQdsNBoxm83odLqzbno7HY/CVEEQBCwWi1hTCB3dRXrm9Xu7D/Hoi+/R1GVFpYxh/owsBh1uFHI5fUN25HI5oyPDBARQx8WSY9Kxp76Zktx0YmLVNHTbWDy7QExinZubgtvtpqGjj/nFOdSMjyCVyWBWVtAlHhAC1LaE50PNyjGjiVfjR451xIVGpSAjWY/T62PU5aFvVCBb7WVHXTB+Y7ZJxd59dTxw2w18Z/2az32NoaM7q9XK2NiYOMzp896TkRAFCCaWvvrqq2zcuPGEA7hOhVtvvZVly5Zx++234/V6GR0d5ZFHHiEpKYkHHniARx99FJvNxn//939H7DkjgCQMU4nh4WE2bdpEdXU1R44c4bLLLqOiooKFCxd+7sXyTDuP/H6/KBIOh0M8JklMTIy6SITO5DUaDQUFBdPKiQ3gdDrZt28fM2fORK/Xi7OGrVareAccqZgTfyDAhn/UsOlfdVhHXBzqsJCWpCPbbMDp9pBiNCCotLh9AmoF7K49wMjIEKlGPWWFWVicAeo7rLjH3ctKRbDjadTtpX/Uj2Uo6LnQxceSmqhl0O4iL9WAw+WlvqOf/NQkbG5fmMN74Yw09jRP7ErK81MZlcWRgIvUuAAOh50t721l78u/xZR08k0EIf+O1WrFbrcft6U4UqLw17/+lRdffJFNmzZFtKY1PDzMvHnzaG5uDntfFxcX8+GHH5KWlkZPTw+XXnopDQ0NEXveCDCtPoTnvTBMZnR0VDzrrK2t5ZJLLqGyspKLL75YPGbx+/00NDQwNjYWsc6jQCAg9vgPDw+f8nS1UyEaHoWzyfDwMAcPHqS0tPS4u7TjFa9NJtPnDqQ/Wf657wj//bf3OdAaLCqXleRzZFgmRmhoY2OYk6Km39JHa3cvuvg4ZmQkIwfksVpGvV76nWO09gfrGDJgbo4JfZwCl9fHnharaIxL1MYyNzcFp9fPpy394gdtZlYynYNOHO4xcV35aUbaHDLKshJ55dvLGRi285+P/4X//cm3T/u1Hj0bQa1WYzQasVgsJCcnk52dfeIH+Qxefvllnn32Wd56662IH6nW1NTwjW98g1mzZlFbW8uCBQt4/PHHycjIYGhoCAjuOBMTE8V/TxEkYZgOeDwe3n//faqqqti+fTuLFy/mqquu4sknn2TVqlXceeedUbnTnjxdbXBwEK1WK3olzrQGcDY8CtEk1DlVVlZ2UufRoaO70ED6kPN6cvH6VAkEBJ7avJ3qfx3E4tdgH79Aa2NjSFMLHOoM3skrFXLKc0xsr9lPojaekkwjI8MjdAzYMegSMCcnEh+v5WBLF9ahYH0hQR2LSqkgIz2NrkE7NkewiJ1u1JFlTqTF6sBHDMOjR4X5zS6gtmuEX944nzXzTv8u/rMI1SX2799PIBAQB+iE5nScChs2bOCpp55i06ZN6HSnnrp7Inbv3s3SpUv55JNPWLJkCffccw86nY4nnngiTAgSExOx2Wyf/UBnH0kYphs+n4+NGzdy1113kZ6eTmFhIZWVlVxxxRURPRs9mlAbbKjHPy4uTmyDPdWz9HPhUYgkfX19tLW1nXbn1PGK16Fd2ens+gbsLnqHXaQa4lHK5cTHxrDtUCev/auerbXNOFxe5hek4hh1I/jHGBpxIJcJZJv0NHT2Uz4jm97hURACDNiG6R0MdkfJ5XKWzi1m1OtnX+t4rUEeg1ImMD/fzMioB0WchvoeOwKQZkxgOKDm7pUz+fryGaf8Ok6G0PFRUlIS2dnZ4gx2q9WK2+0+brfY8Xjttdf44x//yKZNmzAYDFFZa29vL0uXLqW1tRWAjz76iEcffZSmpibpKCmCSMIA1NfXs379eh577DEuu+wydu7cyYYNG/j73/9Ofn4+a9asYdWqVVG5A5pMyAgWOksPRYaf6EIZKpKfa4/C6dLV1UVPTw9lZWURKS4fz3kdugOOxOM73V7e3HGI3725je5JEd4lmclBZ7MgoPC7SIhTMmgfRZArMScmoIqR0W330WoJjutMUKsom5HDntYBYuRyYuQyZqTo2HvwEOlJOrJSkumXG+gacvHPH15NkjbyrcZHi8LRHC24CQkJYivs5B3uxo0befzxx3nrrbei3g20bNkynnrqKYqLi3n44YdxOoN1HKPRKBafBwcHeeyxx6K6jlNEEobpxgcffIDZbGb27NlhXw99aKqqqnj77bcxmUxUVlZyzTXXkJycHNU1hVJMLRYLgiCIBdejdzBT1aNwsrS2tjI0NERpaWlUnOQh5/XRxetTbd88Hj6/n5ff+YR/HurhH/XdpCYmiH4ItUpBoSme2oZm8tOMJMTHU3OkC5lMhiJGzoKZecTEaanpcjLmD5CbrCXHlIDP66ax6Qi5GakcaLfwrS+toGPAzs/XL4/AXyOcE4nC0YTSAKxWKwMDA2zduhWlUklqaqpYU4hmGkGImpoasSMpPz+fZ555hkAgwNq1a8X25ldeeeWsrOUUkIThfCTU/llVVcWmTZtQq9WsWbOGyspKUlJSotr54/V6xZ2E1+sVvRL9/f3iRXUqexSOR2iwkcfjYdasWWetnXZy+2bId3I6xeuQC1+lUlFYWEhzzyD3PbWFmuaJOIwMox6T0YBSDoJrCME9ysFuGw6Xl4sWlFLbNoA2TjU+9lTA7gs+/+b/vAFVDPQNOSgryGDQPkpSQmSPNE9VFI5HQ0MDv/vd79i8eTOZmZlUVFRQUVHB3Llzp10n3FlgWv1Boi4MW7Zs4Z577sHv93P77bfzwAMPnOlDnnNCxrHq6mpef/11AoEAq1evZs2aNSeMbDhTQgXXI0eOMDY2RkZGBikpKefEK3G6HC/36FxwusXrQCAgRpbn5eVNuLT9AX6/cTu/37idMX+A+SW51LQE3c0xchmLC0zIXXaQy7A4/XQNuXF6g4F/s/MzOdA5wB++fgVXzsuL6uuOhCgAbN26lZ/97Gds3rwZhULBli1beOONN/jud7/LkiXRi/6epkyPD+c4URUGv99PUVER7733HpmZmSxatIiXXnqJWbNmncnDTikEQaC3t1c01A0NDbFq1SoqKyspLi6O+EUvNC0uPj6e3NxcsQ3WbreTmJgoXtimqqEt5LFISEgIu6iea45uKdbpdOJZ+uQjrkAgwP79+9Hr9eTm5h73sVr7bPx/m3dRteOI6GQGMGjU5OZk0W934eppYtg2yMKSHGITElHEqrl52WxWlOZE/XVGQhQ++OADHnroId566y1SUlIiuMLzlqnxRj9JoioM27Zt4+GHH+add94B4Je//CUAP/zhD8/kYac0AwMDvPnmm7z22mt0dnaycuVKKisrmTt37hlfrD/PoxAIBLDZbFgsFoaGhs64KycahHKPzGbzGZmnok2oeB06Sw8Vr5OSkqivrz/plNE3dzbyP69vp3O8QD1/TjH7Ooe5fXkR9141C4U8mPw67HSj10Q/QyhSovDPf/6TBx98kE2bNkVsDO8FgCQMIUJR2U899RQAzz//PDt27OB3v/vdmTzstGFkZITNmzdTVVXF4cOHufTSS6moqGDx4sWnfLF2u93U1taSl5eH2Wz+3J+d3JUzMDCARqMRIyXOVS3C6/VSU1NDdnb2aeUenUucTie9vb20twfHcmZlZZ108doz5uPP79Xy14/qsaEh3RDPe/dfedZ3SpEShY8//pgHHniAjRs3Rm0M73nKtBKG6VWxnGbodDrWrVvHunXrcLlcvPvuuzz33HPcc889XHzxxVx33XV84QtfOGELZcijMHPmzJPqD5fJZBgMBgwGQ1ioWltbGyqVSvRKnK1MfLfbTU1NDYWFhVHv5ooGKpWKwcFB8e9vtVqpr6/H5/OJeVifVbyOVSr41jULWLO4mM6hUQSBaSsK27Zt4wc/+AFvvvmmJArnOdJR0jnA6/Xy4YcfUlVVxSeffMKCBQuoqKhgxYoVx+T/RNqjMLl1Uy6XRzR36LOeL5R7FC3TUzQJ7XRyc3OP2amNjY2JY2EnF6/1ev2UqfFEShR27NjBd7/7Xd58880zepwLmGm1Y4iqMPh8PoqKiti6dSsZGRksWrSIF1988Ri/wIWM3+/n448/prq6mg8++ICSkhIqKytZuXIlL730Ev39/Xzve9+Likfh6NyhkEhEyiR3otyjqY7H46GmpoaCgoIT7nROtnh9NomUKOzevZu7776bN9544zML7hInRBKGyWzevJl7770Xv9/PbbfdxoMPPnimD3neEggE2LNnD6+++ip/+9vf0Gg0fPvb3+b666+P+t221+ulv7+fvr4+vF4vRqORlJSU0w6nC+10Tjb3aKoROv4qKio6ZaPU0cXrUNRJcnLyWTu+i5Qo7N27l29961tUV1dTUFAQwRVecEjCIHH6BAIB/uM//oOhoSHuvvtu3nzzTTZv3kxiYiIVFRVce+21mEymqJ5T+3w+MTLc6XSK5+h6vf6kntdisdDa2jpt3dgul4va2lpKSkoiIsiTZ17LZDKxxhMtwYyUKNTW1nLHHXewYcMGioqKIrjC6CIIAsuWLePBBx9k1apVALz66qviJLlzhCQMEqfPm2++ya5du/jZz34mXoRDLuHQGFOVSiWOMU1PT4+qSISyciwWCyMjIxgMBsxm82fOFo507tHZJlQTmT17dlSysdxutyi6Y2NjYRP/IvH/GClRqKur4/bbb+eVV16hpKTkjNd1tqmrq+PGG29k7969+Hw+ysvL2bJly7nc9UjCIBE9BEGgs7NTdF273W6uvfZaKisryc/Pj6pIBAIBMTLcZrOJk9VC5+itra3YbDbmzp07ZbwTp0Ioevps1USO3plNTjE9neJ1pETh4MGDfPWrX+Xll1+e1mbU+++/H41Gg9PpJCEhgR//+MfncjmSMEwFOjo6uOWWW+jr60Mmk/GNb3yDe+65h8HBwak+G/akEQQBq9UqzroeGBjg6quvpqKiIurjPEOBaqEjkkAggEqloqys7Kydo0eSkZERDhw4wNy5c89JQm2oeG21WkWD4qkUr0OO7MTExDMShfr6er7yla/w4osvUlpaetqPczz8fj8LFy4kIyODTZs20dLSwrp16xgYGGDBggU8//zzEX3vOJ1O5s+fj0qlYvfu3ef6WFMShqlAT08PPT09zJ8/H7vdzoIFC3j99dd59tlnp/ps2NPGZrOxceNGqquraW1t5YorrqCyspLy8vKoiUQoTC4QCBAfH09/fz9KpVKMDJ8OIjE0NMShQ4emTKF8suieTPE6JAoGg4GcnNOP1Dh8+DC33HILzz//PGVlZWfyEo7Lr3/9a3bv3s3IyAibNm1i7dq1XH/99axbt45vfvOblJWVceedd0b0OX/yk5+g1Wq5//77I/q4p4EkDFORyspK7rrrLu66666pPtAjIjgcDjZv3kx1dTUHDx7ki1/8IhUVFVx00UURO+YJXZCOzj1yuVxYLBYsFstZKbaeCaHuqXnz5kXNy3GmTPaeyGQysa1YrVZHTBSOHDnC+vXree655ygvL4/g6oN0dnZy66238uCDD/LrX/+ajRs3YjKZ6O3tRaFQHON5ihQPP/wwWq2W++67L6KPexpMK2G4IJzPra2t7N27lyVLltDX1yfmu6SmptLX13eOVxcdtFota9euZe3atXg8Ht577z1eeuklvve977F06VIqKytZtmzZad/R+3w+9u3bh8lkOiY3SK1Wk5OTQ05ODh6PB4vFIjqFQ7MQpoKvIZRSW15efq6PGT4XjUaDRqMhNzcXj8cjOq/HxsbE6PAzOT5qaWlh/fr1PP3001ERBYB7772Xxx57DLs9mBs1MDCAwWAQI1oyMzPp6uqKynNLnDrnvTA4HA5uuOEGfvvb3x7TZSKTyaZMumc0iY2NZfXq1axevZqxsTH++c9/smHDBv7zP/+TsrIyKioquPzyy0/6jt7r9VJbW0tmZuYJQ9RiY2PJysoiKyuLsbExrFYrTU1NuN1usSMnISHhrP8/hFpqy8vLp8VxV4jY2FgyMzNJT0+ntrYWjUaD1+tl+/btp1W8bmtr48tf/jJPPfUUCxcujMqaN23ahNlsZsGCBXz44YdReQ6JyHJeHyWNjY2xevVqrrrqKr73ve8BUFxcfEEcJZ0Mfr+fbdu2UV1dzdatWyksLOS6667jyiuvJCEh4bi/E6ncI7/fL3bkOByOk56FEAl6e3vp6Ohg3rx507Kl9njHR0en6x7dMXY8Ojo6uOmmm/jjH//IRRddFLX1/vCHP+T5559HoVDgdrsZGRnhS1/6Eu+8807Uj5KmENPqDvS8FQZBELj11ltJSkrit7/9rfj173//+1N9Nuw5IRAIUFNTw4YNG3jnnXdIS0tjzZo1XHvttaLz99ChQ/T39zNnzpyIOrGPjpPQ6/ViZHiki+bd3d2iz2K6Tb2Dkys0n0zxuqurixtvvJEnnniCZcuWnbX1f/jhh/zqV79i06ZN3Hjjjdxwww1i8Xnu3Ll861vfOmtrOctIwjAV+Pjjj1m2bBmlpaXixeWRRx5hyZIlU3027DlHEATq6+upqqrirbfeIiEhgYULF/LKK6/wt7/9LapZV4IgiF6JwcFBtFqteFE706J5R0cHVquVsrKyaemzON1Cc6h43djYyMMPP8zy5cvZunUrTzzxBJdeemn0FnwcJgtDc3Mz69atY3BwkPLycl544YUpXes5QyRhkDh/EASBl156ifvvv5/CwkL8fj+rV6/muuuuIzMzM6rHPoIgYLfbRa9E6M7XZDKd8hFQW1ubaL6bKsmnp0Kkuo8+/fRTfvCDH+Dz+RAEgVWrVvGlL32JefPmRW6xEsdDEgaJ84c333yTX/ziF7zxxhukpKTQ3d0tGuocDgfXXHMNlZWVzJgxI+q1AYfDIbZtxsTEiF6Jz7vLFASBlpYWHA4Hc+bMuaBFoa+vj3/7t3/j0UcfZeXKldjtdrZs2UJDQwM/+tGPIrhiieMgCYPE+cMnn3zC7Nmzj1tT6O/vF2dd9/b2cuWVV1JZWXlWLsAul0uMDBcEQeztj4+PF38mlDHl9XqZNWvWtOxAi5QoWK1WbrjhBn7+859z9dVXR3CFEifJtHrzScJwFjnbkQBnk+HhYTZt2kR1dTVNTU1cdtllVFZWsnDhwqiLRKi3PxRMF/JKdHZ2AlBSUnJBi8LAwADXX389Dz/8MNdee20EVyhxCkyrN6AkDGeRcxEJcC4YHR1ly5YtVFdXU1tbyyWXXEJlZSUXX3xx1DuBxsbG6O/vp6mpiUAgQFpaGikpKeh0umklDpEShcHBQW644QYefPBBKioqIrhCiVNk+rz5kIThrHGuIgHONR6Ph/fff5+qqiq2b9/OokWLqKysZPny5VHpQAkEAhw8eFB0X4faYO12O4mJiaJXYirXGiIlCkNDQ9xwww3cf//9fOlLX4rgCiVOg2klDNOvkXuacqFGAsTGxrJq1SpWrVqFz+fjo48+oqqqih//+MfMmTOHiooKVq5cGVYbOF1CF1SdTkdeXh6AWKAOGcD6+vpoaGhAp9OJXomp1Loaeg16vf6MRGF4eJgbb7yR733ve5IoSJwykjCcBaRIgCAKhYIVK1awYsUKAoEAO3fuZMOGDTz66KPk5+dTUVHB1VdfjV6vP+XH9vv97Nu3D6PReNzcILlcjtFoxGg0iqM3LRYLTU1NaDQa0StxLk1vk0XhTGYrj4yMsHbtWu6++25uvPHGyC1Q4oJBEoazwCeffCKO6AxFAtxzzz0MDQ3h8/lQKBR0dnaSkZFxrpd61pDL5SxdupSlS5eKF8QNGzawZs0aTCaTOMb0ZGI3/H4/tbW1mM1mMjMzT/jzMpkMg8GAwWBAEAQcDgcWi4W2tjZUKpXolTibjQCREgWHw8FNN93EHXfcwbp16yK3QIkLCqnGcJa5gCMBTgpBEGhoaKC6upqNGzeiVqvFMaapqanHFJB9Ph81NTVkZGScMNDvZJgccS2Xy0WRiGYkd6REwel0snbtWr7yla9w6623Rm6BEpFgWtUYJGE4y1zAkQCnjCAItLW1UV1dzRtvvIHP52P16tVUVFSQm5uL1Wrlueee45ZbbiElJSXiz+92u7FYLFitVgKBwHG9EmdKpERhdHSUtWvXsn79er72ta9FbH0SEUMSBgmJSCMIAn19faLrOtRpdMcdd/Dtb3876q2oXq9X9Ep4vV4xMlyr1Z72c0dKFFwuF+vWrePGG2/k61//+rRqy72AmFb/KZIwSEw7uru7ufbaa7n88ss5fPgwnZ2d4hjTsrKyqLei+nw+MTLc6XRiNBoxm83o9fqTvihHShTcbjdf/vKXqaio4M4774yYKFwIM9PPMpIwSEhEi+HhYVasWMHjjz8uxkWPjIywefNmqqqqaGho4NJLL6WyspLFixdHvRXV7/eLXomRkREMBgNms5nExMTPFKhIiYLH42H9+vWsWrWKu+66K6I7hQtxZnqUkYRBQiJaCIJAZ2fnMeNEQ7hcLt59912qqqr49NNPufjii6msrOSSSy6J+lCeQCAgRobbbLbjDsuJlCh4vV5uueUWVqxYwb333hv146MLbWZ6FJCEQWLqMzQ0xO23305dXR0ymYynn36a4uLi8+qYwOv18uGHH1JVVcUnn3zC/PnzqaysZMWKFVHtMoJjh+Wo1WpMJhMWiwWDwXDGovDVr36Viy++mPvuuy/qotDa2soXv/hF6urqyM7OZmhoCAi+xsTERPHfEp+LJAwSU59bb72VZcuWcfvtt+P1ehkdHeWRRx45b48J/H4/H3/8MdXV1bz//vuUlJRw3XXXsXLlSrRabVSfOzRXoq6uDp/PJw4fMpvNp+yVGBsb47bbbmPhwoU88MADZyXqfPny5Tz44INcf/31GAyGMCFITEzEZrNFdQ3nCZIwSExthoeHmTdvHs3NzWEXlgtlHnYgEGDPnj1s2LCBd999l6ysLNasWcM111wTlR1SIBCgrq4OnU5Hbm4uo6OjYhusTCYTvRJqtfpzH8fn83H77bdTWlrKj370o6iLgjQzPaJIwiAxtampqeEb3/gGs2bNora2lgULFvD444+TkZFxwR0TCIJAXV0dVVVVbN68GYPBQEVFBatXr8ZkMp3xxfdoUTgaj8eDxWLBYrHg9/tFr4RGown7OZ/Pxx133EFRUREPP/xw1EVBmpkecSRhkJja7N69m6VLl/LJJ5+wZMkS7rnnHnQ6HU888cQFfUwQGuxTVVXFm2++iVKpFF3XGRkZp3wxPpEoHM3Y2JjolXC73UBQEJYsWcJdd91FdnY2P//5z8+KT0GamR5xJGGQmNr09vaydOlSWltbAfjoo4949NFHaWpqko4Jxgl1P1VXV/P666/jdru59tprqaiooKCg4IQX51MVhaPx+/3s2LGD//t//y8HDhwgNTWV//mf/+GSSy6ZUmmwEifNtBKGqRtKf4HS0dFBXl4eg4ODANhsNvLy8sSLeCRITU0lKytLvOhv3bqVWbNmUVFRwXPPPQfAc889R2VlZcSec7ohk8nIysrinnvu4f333+eNN97AbDZz//33s3z5cn7xi19w4MABAoHAMb97pqIAEBMTw9KlS8nKyuKGG27gpz/9KX/9618pLy/nV7/61Rm+OgmJz0faMUxBHnvsMZqamnjyySe54447yM3N5Yc//GFEn6OmpkbsSMrPz+eZZ54hEAhIxwQngc1mY+PGjbz22mu0tLRwxRVXUFFRwfz58/H5fDzyyCPceuut4kyI0yEQCHDfffcRGxvLb37zG/E4x+/309fXR3p6eqRejsTZYVrtGCRhmIKMjY2xYMECbrvtNv70pz9RU1MTdXOWxOnhcDh4++23qaqqoq6uDoVCQXl5OY8//vhpz3YIBAL84Ac/AOCJJ56Y0tPmJE4aSRgkzpx33nmHq6++mnfffZeVK1ee6+VInACfz8fNN9+MRqNBJpOxa9culi5dSkVFBV/84hdP2q8QCAR48MEH8Xg8/OEPf5BE4fxhWgmD9K6borz99tukpaVRV1d3rpcicRJ89atfZdGiRTz77LM888wz7N27l5tvvpm3336bSy65hK9//ets3LgRl8v1mY8RCAR46KGHcDgc/P73v5dEQeKcIe0YpiA1NTWsX79evKjs2LEjIkNoJKJHc3Mz+fn5x/2e3+9n27ZtVFdXs3XrVgoLC6moqOCqq65Cp9MBwS6on/3sZ/T29vL0009LnUfnH9NqxyAJwxRDEAQuvvhifvazn7Fy5UqeeOIJtm/fzl//+tdzvbSo85vf/IannnoKmUxGaWkpzzzzDD09Paxbt46BgQEWLFjA888/f1ZHbkaaQCBATU0NGzZsYMuWLaSlpbFmzRoaGxuxWCw8++yzkiicn0jCIHH6PPnkk2zdupWXX34ZCN5tLlq0iN/85jcsX778HK8uenR1dXHJJZdw8OBB1Go1a9eu5ZprrmHz5s1cf/314vjTsrIy7rzzznO93IggCAL19fX85S9/4f333+df//rXaResJaY8kjBISJwqXV1dLF26lNraWnQ6Hddddx13330369evp7e3F4VCwbZt23j44Yd55513zvVyJSROlWklDFJ1S2JKkJGRwX333Ud2djZpaWno9XoWLFiAwWAQ76IzMzPp6uo6xyuVkDj/kYRBYkpgs9l44403aGlpobu7G6fTyZYtW871siQkLkikA02JKcHf//538vLyMJlMAFx//fV88sknDA0N4fP5UCgUdHZ2kpGRcY5XKiFx/iPtGCSmBNnZ2Wzfvp3R0VEEQRDzm1asWMGGDRsAKb/pVNiyZQvFxcUUFhby6KOPnuvlSEwzpOKzxJThoYce4uWXXxZjJZ566im6urpYt24dg4ODlJeX88ILLxAbG3uulzql8fv9FBUV8d5775GZmcmiRYt46aWXmDVr1rle2oXMtCo+S8IgIXGecXT31i9/+UuAiAcxSpwS00oYpKMkCYnzjK6uLrKyssR/S91cEqeKJAwSEhISEmFIwiAhcZ6RkZFBR0eH+G+pm0viVJGEQUJiErfddhtms5k5c+aIXxscHGTlypXMmDGDlStXinOwBUHgO9/5DoWFhcydO5dPP/30XC07jEWLFtHY2EhLSwter5e//e1vVFRUnOtlSUwjJGGQkJjEV77ylWOMdY8++iiXX345jY2NXH755WL759tvv01jYyONjY08+eSTUybDSaFQ8Lvf/Y6rrrqKmTNnsnbtWmbPnn2ulyUxjZC6kiQkjqK1tZXVq1eLszCKi4v58MMPSUtLo6enh0svvZSGhgbuuOMOLr30Um6++eZjfk5C4iikriQJifOJvr4+8WKfmppKX18fIHX/SJy/SMIgIXEKyGQyZLJpdfMnIXHKSMIgIXECUlJS6OnpAaCnpwez2QxI3T8S5y+SMEhInICKigqee+45IDyvqaKigr/85S8IgsD27dvR6/VSfUHivEAqPktITOLmm2/mww8/pL+/n5SUFH76059y3XXXsXbtWtrb28nJyeGVV14hKSkJQRC466672LJlC/Hx8TzzzDMsXLjwXL8EianJtDp/lIRBQkJCIvpMK2GQjpIkJCQkJMKQhEFCQkJCIgxJGCQkJCQkwpCEQUJCQkIiDEkYJCQkJCTCkIRBQkJCQiIMSRgkJCQkJMKQhEFCQkJCIgxJGCQkJCQkwpCEQUJCQkIiDEkYJCQkJCTCkIRBQkJCQiIMSRgkJCQkJMKQhEFCQkJCIgxJGCQkJCQkwpCEQUJCQkIiDEkYJCQkJCTCUJzg+9Nq6pCEhISExJkj7RgkJCQkJMKQhEFCQkJCIgxJGCQkJCQkwpCEQUJCQkIiDEkYJCQkJCTCkIRBQkJCQiKM/x+aPbTRse7zlAAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "im_frame = Image.open(\"Terrain003_2K.png\")\n",
+ "height_2k = tensor(np.array(im_frame), spatial('y,x'))\n",
+ "height = math.downsample2x(math.downsample2x(height_2k)) / height_2k.max * 50\n",
+ "bounds = Box(x=100, y=100, z=50)\n",
+ "terrain = geom.Heightmap(height, bounds, max_dist=.5)\n",
+ "plot(terrain)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's place some balls on top of the terrain."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 55,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 55,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x0 = CenteredGrid(0, x=10, y=10, z=1, bounds=Cuboid(vec(x=60, y=30, z=50), x=10, y=10, z=1).corner_representation()).as_points().points\n",
+ "balls = Sphere(x0, radius=1)\n",
+ "v0 = math.zeros_like(balls.center)\n",
+ "plot([terrain, balls], overlay='list', color=[0, 1], plt_params={'z-order': 'as-provided'})"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In each update, we want the balls to be affected by gravity.\n",
+ "We store the velocities in the `values` of the field and the positions in its `geometry`.\n",
+ "To detect collisions with the terrain, we query the `approximate_closest_surface` to obtain the distance and surface normal."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 64,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def step(balls: Field, dt, elasticity=.4, gravity=vec(x=0, y=0, z=-9.81)):\n",
+ " v = balls.values + dt * gravity\n",
+ " dist, _, normal, *_ = terrain.approximate_closest_surface(balls.points)\n",
+ " bounce = (dist < balls.geometry.bounding_radius()) & (v.vector @ normal < 0)\n",
+ " impact = -(1+elasticity) * (v.vector @ normal.vector) * normal\n",
+ " v = math.where(bounce, v + impact, v)\n",
+ " x = math.clip(balls.points + dt * v, bounds.lower, bounds.upper)\n",
+ " return balls.shifted_to(x).with_values(v)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's run the simulation for some steps."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 67,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "1add4ac187a04b5aba7050a1cd47e569",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ " 0%| | 0/50 [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "ball_trj = iterate(step, batch(time=50), PointCloud(balls, v0), dt=.1, range=trange, substeps=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 72,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 72,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot([terrain, ball_trj.geometry], overlay='list', color=[0, 1], animate='time', plt_params={'z-order': 'as-provided'})"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "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": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
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