{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# HW 2 Solutions\n",
        "\n",
        "## Overview\n",
        "\n",
        "### Load Environment\n",
        "\n",
        "The following code loads the environment and makes sure all needed\n",
        "packages are installed. This should be at the start of most Julia\n",
        "scripts."
      ],
      "id": "9f657d3b-6238-450b-a48e-d303dd0b292b"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import Pkg\n",
        "Pkg.activate(@__DIR__)\n",
        "Pkg.instantiate()"
      ],
      "id": "2"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "using Plots\n",
        "using LaTeXStrings"
      ],
      "id": "4"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Problems (Total: 50 Points)\n",
        "\n",
        "### Problem 1 (9)\n",
        "\n",
        "#### Problem 1.1 (3)\n",
        "\n",
        "Denoting $dx/dt = f(x)$, $$f(x) = 0 \\implies x = \\pm 2.$$\n",
        "\n",
        "At $x=2$, $df/dx = 8x = 16 > 0$, so this equilibrium is **unstable**. At\n",
        "$x=-2$, $df/dx=-16 < 0$, so this equilibrium is **stable**.\n",
        "\n",
        "#### Problem 1.2 (3)\n",
        "\n",
        "Denoting $dx/dt = f(x)$, $$f(x) = 0 \\implies x = 0, \\pm 1.$$\n",
        "\n",
        "At $x=0$, $df/dx = 1-3x^2 = 1 > 0$, so this equilibrium is **unstable**.\n",
        "At $x=\\pm 1$, $df/dx=-2 < 0$, so these equilibria are **stable**.\n",
        "\n",
        "#### Problem 1.3 (3)\n",
        "\n",
        "Denoting $dx/dt = f(x)$,\n",
        "$$f(x) = 0 \\implies \\cos x = \\frac{1}{2} \\implies x = \\pm \\frac{\\pi}{3} + 2\\pi n.$$\n",
        "\n",
        "In this case, $df/dx = 2\\sin x$, so we can ignore the $2 \\pi n$ when we\n",
        "do the calculations, as these will not change the stability of the\n",
        "relevant points. If you don’t recall the formula for\n",
        "$\\sin\\left(\\pm \\frac{\\pi}{3}\\right)$, observe from the Pythagorean\n",
        "Theorem that $\\sin x = \\pm \\sqrt{1 - \\cos^2 x}$, with the sign depending\n",
        "on which quadrant the angle $x$ is in.\n",
        "\n",
        "Starting with $x = \\frac{\\pi}{3} + 2\\pi n$, using the formula above,\n",
        "$2 \\sin(\\pi/3) = \\sqrt{3} \\approx 1.73$ (positive since $\\pi/3$ is in\n",
        "the first quadrant, so has both a positive $\\sin$ and $\\cos$). So\n",
        "$x = \\frac{\\pi}{3} + 2 \\pi n$ is **unstable**.\n",
        "\n",
        "Similarly, for $x = -\\frac{\\pi}{3} + 2 \\pi n$,\n",
        "$2 \\sin(-\\pi/3) = -\\sqrt{3} \\approx 1.73$ (negative since $-\\pi/3$ is in\n",
        "the fourth quadrant, so has a negative $\\sin$). So\n",
        "$x =-\\frac{\\pi}{3} + 2 \\pi n$ is **stable**.\n",
        "\n",
        "### Problem 2 (9)\n",
        "\n",
        "#### Problem 2.1 (5)\n",
        "\n",
        "The systems diagram should look like this:\n",
        "\n",
        "<figure>\n",
        "<img src=\"attachment:figures/ocean_diagram.svg\"\n",
        "alt=\"Systems Diagram for Problem 2\" />\n",
        "<figcaption aria-hidden=\"true\">Systems Diagram for Problem\n",
        "2</figcaption>\n",
        "</figure>\n",
        "\n",
        "- The positive connection between atmospheric CO<sub>2</sub>\n",
        "  concentrations and global temperatures is just capturing the\n",
        "  greenhouse effect: CO<sub>2</sub> blocks the transmission of radiation\n",
        "  along certain frequencies which would normally cause a loss of energy\n",
        "  back to space.\n",
        "- The negative connection between global temperatures and ocean\n",
        "  CO<sub>2</sub> concentrations is a result of Henry’s law for the\n",
        "  solubility of CO<sub>2</sub>. While the oceans are not an ideal\n",
        "  mixture and the atmospheres and oceans aren’t in equilibrium (so one\n",
        "  would be cautious in using Henry’s law to make specific predictions\n",
        "  about concentrations), the key insight is the temperature dependence\n",
        "  of Henry’s constant, where increasing temperature decreases\n",
        "  solubility.\n",
        "- The negative connection from ocean to atmospheric CO<sub>2</sub>\n",
        "  concentrations is the result of the mass balance of CO<sub>2</sub>:\n",
        "  CO<sub>2</sub> taken up by the oceans must come from the atmosphere.\n",
        "- The positive connection from atmospheric to ocean CO~2 concentrations\n",
        "  is not simply a matter of mass balance: higher atmospheric partial\n",
        "  pressure results in increased dissolution in the oceans. **This is\n",
        "  slightly tricky: if this were just a matter of mass balance, the\n",
        "  feedback between ocean and atmospheric CO<sub>2</sub> would be\n",
        "  self-amplifying, which is impossible**.\n",
        "\n",
        "The overall feedback between global temperature, ocean CO<sub>2</sub>,\n",
        "and atmospheric CO<sub>2</sub> is therefore amplifying: increases in\n",
        "temperature decrease the concentration of CO<sub>2</sub> in oceans,\n",
        "which increase the atmospheric concentration, causing further\n",
        "temperature increases.\n",
        "\n",
        "#### Problem 2.2 (4)\n",
        "\n",
        "1.  This is a **stock** as it is a total absorbed mass. If it were the\n",
        "    amount absorbed per year (or per unit of atmospheric CO<sub>2</sub>,\n",
        "    etc), it would be a flow.\n",
        "2.  This is a **flow**, as it is a rate.\n",
        "3.  This is a **flow** as it is an increase per year, rather than the\n",
        "    actual measured temperature or total anomaly (which would be a\n",
        "    stock).\n",
        "4.  This is a **stock** as it is a total amount of heat.\n",
        "\n",
        "### Problem 3 (6)\n",
        "\n",
        "To find the equilibria, start by denoting $\\frac{dH}{dt} = f(H, L)$ and\n",
        "$\\frac{dL}{dt} = g(H, L).$ We want to solve the system $f(H, L) = 0$ and\n",
        "$g(H, L) = 0$. These are the equations\n",
        "\n",
        "$$\\begin{aligned}\n",
        "b_h H_t - m_h H_t L_t - \\gamma_h H_t^2 &= 0 \\\\\n",
        "b_l L_t H_t - m_l L_t - \\gamma_l L_t^2 &= 0.\n",
        "\\end{aligned}$$\n",
        "\n",
        "We can factor out $H_t$ from the first equation and $L_t$ from the\n",
        "second, giving\n",
        "\n",
        "$$\\begin{aligned}\n",
        "H_t(b_h - m_h L_t - \\gamma_h H_t) &= 0 \\label{eq:prey} \\\\\n",
        "L_t(b_l H_t - m_l - \\gamma_l L_t) &= 0. \\label{eq:pred}\n",
        "\\end{aligned}$$\n",
        "\n",
        "Thus we have four possible cases to check. The simpliest is $H_t=L_t=0$:\n",
        "this is the extinction equilibrium. Call this solution $E_0$.\n",
        "\n",
        "If $H_t = 0$ but $L_t \\neq 0$, then Equation simplifies to\n",
        "$$-\\gamma_l L_t = m_l \\implies L_t = -\\frac{m_l}{\\gamma_l}.$$ But this\n",
        "is impossible, as $L_t$ cannot be negative. This also makes sense: the\n",
        "predator population cannot be nonzero without any prey.\n",
        "\n",
        "If $L_t = 0$ but $H_t \\neq 0$, then Equation simplifies to\n",
        "$$\\gamma_h H_t = b_h \\implies H_t = \\frac{b_h}{\\gamma_h}.$$ This is the\n",
        "population the prey will stabilize at without predation, where the birth\n",
        "rate and the self-death rate balance. Note that this equilibrium does\n",
        "not exist for the Lotka-Volterra model, because without the self-death\n",
        "term the prey population will increase infinitely in the absence of\n",
        "predators. Call this solution $E_1$.\n",
        "\n",
        "The last case is the most complex, where $H_t \\neq 0$ and $L_t \\neq 0$.\n",
        "First, solve the relevant part of Equation for $L_t$:\n",
        "$$L_t = \\frac{b_l H_t - m_l}{\\gamma_l}. \\label{eq:pred2}$$ Substituting\n",
        "this into Equation : $$\\begin{aligned}\n",
        "\\gamma_h H_t + m_h \\frac{b_l H_t - m_l}{\\gamma_l} &= b_h \\\\\n",
        "\\gamma_h \\gamma_l H_t + m_h \\left(b_l H_t - m_l\\right) &= b_h \\gamma_l \\\\\n",
        "H_t \\left(\\gamma_h \\gamma_l + m_h b_l) &= b_h \\gamma_l + m_l m_h \\\\\n",
        "H_t &= \\frac{b_h \\gamma_l + m_l m_h}{\\gamma_h \\gamma_l + m_h b_l}. \\label{eq:preysolve}\n",
        "\\end{aligned}$$ And plugging into Equation and simplifying gives:\n",
        "$$\\begin{aligned}\n",
        "L_t &= \\frac{b_l\\left(b_h \\gamma_l + m_l m_h\\right) - m_l\\left(\\gamma_h \\gamma_l + m_h b_l\\right)}{\\gamma_l\\left(\\gamma_h \\gamma_l + m_h b_l\\right)} \\\\\n",
        "&= \\frac{b_l b_h - m_l \\gamma_h}{\\gamma_h \\gamma_l + m_h b_l}. \\label{eq:predsolve}\n",
        "\\end{aligned}$$\n",
        "\n",
        "Denote these solutions by $H^*$ and $L^*$, respectively, and this entire\n",
        "solution by $E_2$. To answer the question of stability, we want to\n",
        "calculate the eigenvalues of the Jacobian (we will drop the $t$ as these\n",
        "solutions are equilibria and are therefore independent of time),\n",
        "$$\\begin{aligned}\n",
        "J &= \\begin{pmatrix}\\frac{\\partial f}{\\partial H} & \\frac{\\partial f}{\\partial L} \\\\ \\frac{\\partial g}{\\partial H} & \\frac{\\partial g}{\\partial L} \\end{pmatrix} \\\\\n",
        "&= \\begin{pmatrix}b_h - m_h L - 2 \\gamma_h H & -m_h H \\\\ b_l L & b_l H - m_l - 2 \\gamma_l L \\end{pmatrix}.\n",
        "\\end{aligned}$$ These eigenvalues are the solution to the\n",
        "**characteristic equation** $$\\det(J - \\lambda I) = 0.$$ If at a given\n",
        "equilibrium $E_i$ both eigenvalues (since this is a 2d system, and $J$\n",
        "is a 2x2 matrix) have negative real part, $E_i$ is **stable.** If any\n",
        "eigenvalues have a positive real part, $E_i$ is **unstable**. And if the\n",
        "eigenvalues are purely imaginary, the solutions will oscillate around\n",
        "$E_i$ and the system is **degenerate** (or **marginally stable**).\n",
        "\n",
        "> **None**\n",
        ">\n",
        "> This asymmetry is the result of how any positive real part of a given\n",
        "> value means that a component of a perturbation in the direction of the\n",
        "> associated eigenvector will grow, even if all of the other directions\n",
        "> decay, and this is an instability, whereas stability can only result\n",
        "> from perturbations in all directions decaying asymptotically.\n",
        "\n",
        "***Extra Credit***:\n",
        "\n",
        "You didn’t have to analyze $E_0$, but note that\n",
        "$$J|_{E_0} = \\begin{pmatrix} b_h & 0 \\\\ 0 & -m_l \\end{pmatrix}.$$ Since\n",
        "all of the parameters of this model have to be positive, this means the\n",
        "eigenvalues are $b_h > 0$ and $-m_l < 0$, so the solution is unstable\n",
        "(introducing any hares will cause the population to increase away from\n",
        "zero, even though introducing only lynxes will result in them dying out\n",
        "again). In fact, this is an example of a **saddle point**, which you\n",
        "might recall from multivariable calculus as a type of critical point.\n",
        "\n",
        "For $E_1$, the Jacobian becomes\n",
        "$$J|_{E_0} = \\begin{pmatrix} -b_h & \\frac{-m_h b_h}{\\gamma_h} \\\\ 0 & -\\frac{b_l b_h \\gamma_h} - m_l \\end{pmatrix}.$$\n",
        "As this is a triangular matrix, the eigenvalues are the diagonal\n",
        "entries. The first is $-b_h < 0$. The second is\n",
        "$\\frac{b_l b_h \\gamma_h} - m_l$, which can be positive or negative. The\n",
        "condition for it to be negative (and hence for $E_1$ to be stable) is\n",
        "$$\\frac{b_h}{\\gamma_h} < \\frac{m_l}{b_l},$$ and it is unstable\n",
        "otherwise. Notice that this condition is intuitive: the equilibrium\n",
        "where there are no lynx but there are hares is stable if the mortality\n",
        "rate of lynxes is greater than the birth rate of hares, as the lynx will\n",
        "die off without enough hare population growth to sustain them.\n",
        "\n",
        "$E_2$ is the most involved case. As both $H^*$ and $L^*$ have the same\n",
        "denominator, let’s simplify notation by writing $H^* = P/\\Delta$ and\n",
        "$L^* = Q/Delta$. In other words,\n",
        "$$P = b_h\\gamma_l + m_h m_L,\n",
        "\\qquad\n",
        "Q = b_h b_L - \\gamma_h m_L,\n",
        "\\qquad\n",
        "\\Delta = \\gamma_h\\gamma_l + m_h b_L.$$\n",
        "Observe that $P > 0$ and $\\Delta > 0$, but $Q$ may not be positive; we\n",
        "will need this later.\n",
        "\n",
        "Start by computing the upper-left term $J_{11}$: $$\\begin{aligned}\n",
        "J_{11} &= b_h - m_h L^* - 2\\gamma_h H^* \\\\\n",
        "&= b_h - m_h\\frac{Q}{\\Delta} - 2\\gamma_h\\frac{P}{\\Delta},\n",
        "\\end{aligned}$$ or\n",
        "\n",
        "$$J_{11} = \\frac{b_h(\\gamma_h\\gamma_l + m_h b_L) - m_h(b_h b_L - \\gamma_h m_L)\n",
        "               - 2\\gamma_h(b_h\\gamma_l + m_h m_L)}{\\Delta}.$$\n",
        "Expanding the numerator and collecting terms leaves us with\n",
        "$$\\begin{aligned}\n",
        "J_{11} &= \\frac{-b_h\\gamma_h\\gamma_l - \\gamma_h m_h m_L}{\\Delta} \\\\\n",
        "&= \\frac{-\\gamma_h \\left(b_h\\gamma_l + m_h m_L\\right)}{\\Delta} \\\\\n",
        "&= -\\frac{\\gamma_h P}{\\Delta} = -\\gamma_h H^*\n",
        "\\end{aligned}$$ A similar calculation gives that the bottom-left term\n",
        "$J_{22}$ is $$J_{22} = -\\frac{\\gamma_l Q}{\\Delta} = -\\gamma_l L^*.$$ The\n",
        "off diagonal terms are easier: $$\\begin{aligned}\n",
        "J_{12} &= -m_h H^* = \\frac{-m_h P}{\\Delta} \\\\\n",
        "J_{21} &= b_l L^* = \\frac{b_l Q }{\\Delta}.\n",
        "\\end{aligned}$$\n",
        "\n",
        "Thus $$J_{E_2} = \\frac{1}{\\Delta}\n",
        "\\begin{pmatrix}\n",
        "-\\gamma_h P & -m_h P \\\\[4pt]\n",
        " b_l Q & -\\gamma_l Q\n",
        "\\end{pmatrix}\n",
        "=\n",
        "\\begin{pmatrix}\n",
        "-\\gamma_h H^* & -m_h H^* \\\\[4pt]\n",
        " b_l L^* & -\\gamma_l L^*\n",
        "\\end{pmatrix}.$$\n",
        "\n",
        "> **None**\n",
        ">\n",
        "> Doing all of this algebra is great and builds character, but we also\n",
        "> could have observed that $J_{11}_{E_2}$ is $\\frac{df}{dH}$ minus one\n",
        "> extra $\\gamma_h H^*$, and as $\\frac{df}{dH} = 0$, the only remaining\n",
        "> term was $-\\gamma_h H^*$. Similarly for $J_{22} = -\\gamma_l L^*$.\n",
        "\n",
        "Now we need to find the eigenvalues. The characteristic polynomial is\n",
        "$$\\begin{aligned}\n",
        "0 &= \\det(J^* - \\lambda I) \\\\\n",
        "&= \\det\n",
        "\\begin{pmatrix}\n",
        "-\\gamma_h H^* - \\lambda & -m_h H^* \\\\[4pt]\n",
        "b_L L^* & -\\gamma_l L^* - \\lambda\n",
        "\\end{pmatrix} \\\\\n",
        "&= \\left(-\\gamma_h H^* - \\lambda\\right)\\left(-\\gamma_l L^* - \\lambda\\right)\n",
        "- \\left(-m_h H^*\\right)\\left(b_L L^*\\right).\n",
        "\\end{aligned}$$\n",
        "\n",
        "This simplifies to\n",
        "$$\\lambda^2 + \\left(\\gamma_h H^* + \\gamma_l L^*\\right)\\lambda + \\left(\\gamma_h\\gamma_l + m_h b_L\\right)H^*L^* = 0.$$\n",
        "\n",
        "To simplify notation for the stability conditions, introduce new\n",
        "notation:\n",
        "$$T = \\left(\\gamma_h H^* + \\gamma_l L^*\\right), \\qquad D = \\Delta\\,H^*L^* = \\Delta\\cdot\\frac{P}{\\Delta}\\cdot\\frac{Q}{\\Delta} = \\frac{PQ}{\\Delta}.$$\n",
        "\n",
        "This makes the characteristic polynomial $\\lambda^2 + T\\lambda + D = 0$,\n",
        "and so the roots are $$\\lambda = \\frac{-T \\pm \\sqrt{T^2 - 4D}}{2}.$$\n",
        "Observe that $T > 0$ and $D > 0$.\n",
        "\n",
        "Now, we have to check all cases of the sign of the discriminant. First,\n",
        "if $T^2 = 4D$, when the eigenvalues are just $-T < 0$, so $E_2$ is\n",
        "stable.\n",
        "\n",
        "If $T^2 - 4D > 0$, one root\n",
        "$$\\lambda_- = \\frac{-T - \\sqrt{T^2 - 4D}}{2} < 0$$ as the numerator is\n",
        "one negative number subtracted from another. For $\\lambda_+$, note that\n",
        "$T^2 - 4D < T^2$, so $$\\sqrt{T^2 - 4D} < \\sqrt{T^2} = T.$$ So\n",
        "$$\\lambda_+ = \\frac{-T + \\sqrt{T^2 - 4D}}{2} < \\frac{-T + T}{2} = 0,$$\n",
        "and both eigenvalues are still negative, and $E_2$ is stable.\n",
        "\n",
        "Finally, consider when $T^2 - 4D < 0$. Then we can rewrite\n",
        "$\\sqrt{T^2 - 4D} = i \\sqrt{4D - T^2}$, and\n",
        "$$\\lambda_{\\pm} = \\frac{-T \\pm i\\sqrt{4D - T^2}}{2}$$ with real part\n",
        "$-\\frac{T}{2} < 0$, and once again $E_2$ is stable.\n",
        "\n",
        "### Problem 4 (26)\n",
        "\n",
        "#### Problem 4.1 (4)\n",
        "\n",
        "One way we could draw this diagram is\n",
        "\n",
        "<figure>\n",
        "<img src=\"attachment:figures/lake_diagram.svg\"\n",
        "alt=\"Systems Diagram for Problem 4\" />\n",
        "<figcaption aria-hidden=\"true\">Systems Diagram for Problem\n",
        "4</figcaption>\n",
        "</figure>\n",
        "\n",
        "Yours might look slightly different, but we can conclude that this is an\n",
        "amplifying feedback loop due to the negative connections between algal\n",
        "biomass and oxygen stored in the sediment (due to the oxygen demand\n",
        "caused by decomposition of dead biomass) and between the P stored in the\n",
        "sediment and P stored in the lake water (due to uptake or recycling;\n",
        "this is mass-balance of P).\n",
        "\n",
        "#### Problem 4.2 (3)\n",
        "\n",
        "1.  This is a **flow**, as this is the rate at which oxygen will be\n",
        "    removed due to decomposition.\n",
        "2.  This is a **stock**, as it is a quantity of P mass.\n",
        "3.  This is a **flow**, as it is the amount of P added to the lake in a\n",
        "    given year, therefore it is a change in the P mass.\n",
        "\n",
        "#### Problem 4.3 (5)\n",
        "\n",
        "Notice that we have two feedbacks in this model: through permanent\n",
        "removal of $P$, with gain $g_\\text{out}$, and through sediment recycling\n",
        "(with gain $g_\\text{sed}$). $g_\\text{out}$ is captured by the term\n",
        "$\\alpha_\\text{out}(P) = -sP$, and so\n",
        "$$g_\\text{out} = \\partial \\alpha_\\text{out}/\\partial P = -s = -1.$$ As\n",
        "$R(P)$ is only non-constant for $P$ between 25 and 35\n",
        "$\\mu\\text{g} /\\text{L}$, $g_\\text{sed}$ is only non-zero in this range,\n",
        "and has a value of 2. This the total gain\n",
        "$g = g_\\text{out} + g_\\text{sed}$ is $-1$ when P is below 25 or above 35\n",
        "$\\mu\\text{g} / \\text{L}$ and 1 otherwise. So in the first two cases,\n",
        "this is a **dampening** feedback (P increases are decreased through\n",
        "outflow) and in the last, **amplifying** (P increases lead to increased\n",
        "soil sedimentation and recycling, outweighing the outflow).\n",
        "\n",
        "This means that the total effect of an addition of\n",
        "$1\\ \\mu\\text{g} / \\text{L}$ P will be reduced by half in the high-P and\n",
        "low-P regimes (using the formula from class, \\$ = \\$ when $|g| < 1$). In\n",
        "the middle regime, it is more complicated because $g=1$ and so the\n",
        "infinite series we used to derive that formula does not converge. As a\n",
        "result, the system will start to runaway until it hits the upper limit\n",
        "of the sedimentation feedback, where it will stabilize as the sediment\n",
        "recycling plateaus.\n",
        "\n",
        "#### Problem 4.4 (6)\n",
        "\n",
        "Setting the model to zero at\n",
        "$L = 20\\ \\mu\\text{g}/(\\text{L}\\cdot\\text{yr})$ gives\n",
        "\n",
        "$$20 - P + R(P) = 0.$$\n",
        "\n",
        "We need to solve this equation for each regime and check that the\n",
        "solutions are consistent with the assumptions for each regime.\n",
        "\n",
        "First, if $P < 25$, then $R = 0$, so $$\\begin{aligned}\n",
        "20 - P &= 0 \\\\\n",
        "P_1 &= 20\\ \\mu\\text{g}/\\text{L}\n",
        "\\end{aligned}$$ As $20 < 25$, this is a valid solution. In this case,\n",
        "the derivative of the model is $-1$, so $P_1$ is a **stable**\n",
        "equilibrium, which aligns with our understanding of the feedback\n",
        "mechanism: a small amount of increased phosphorous is removed from the\n",
        "system faster than it is reintroduced from the external loading, while a\n",
        "small amount of removed phosphorous will analogously be added back.\n",
        "\n",
        "If $25 < P < 35$, $R(P) = 2(P-25)$, so $$\\begin{aligned}\n",
        "20 - P + 2(P - 25) &= 0 \\\\\n",
        "P - 30 &= 0 \\\\\n",
        "P_2 &= 30\\ \\mu\\text{g}/\\text{L}.\n",
        "\\end{aligned}$$ $25 < 30 < 35$, so this is a valid solution. The\n",
        "derivative in this case is $1$, so this is an **unstable** equilibrium.\n",
        "Again, this makes sense: an increased amount of P causes an increase in\n",
        "recycling which outpaces the outflow, so the concentration of P in the\n",
        "lake will increase accordingly, and this feedback will continue until\n",
        "the recycled P stabilizes. Similarly, a decreased amount of P will\n",
        "result in less recycling, at a rate lower than the reduction in outflow.\n",
        "\n",
        "Finally, if $P < 35$, $R = 20$, so $$\\begin{aligned}\n",
        "20 - P + 20 &= 0 \\\\\n",
        "P_3 &= 40\\ \\mu\\text{g}/\\text{L}\n",
        "\\end{aligned}$$ $40 > 35$, so this is again a valid solution. The\n",
        "stability is the same as in the first case, as the derivative is $-1$,\n",
        "so $P_3$ is **stable**.\n",
        "\n",
        "> **Hysteresis**\n",
        ">\n",
        "> Notice that these three equilibria mean that there is not a unique\n",
        "> value of $P$ associated with an external loading $L = 20$ (or indeed,\n",
        "> any $L$ in the intermediate range). Depending on the history of the P\n",
        "> concentration, the lake can settle at $P_1 = 20$ or\n",
        "> $P_3 = 40\\ \\mu\\text{g}/\\text{L}$. This means that if the lake was\n",
        "> eutrophic (the third regime), a reduction of loading to a value that\n",
        "> would have been fine if the lake had only been oligotrophic will not\n",
        "> “undo” the eutrophication and much further reductions are needed (in\n",
        "> this case, to $L=15$). This dependence on the system’s history is a\n",
        "> property called **hysteresis** and is characteristic of many\n",
        "> environmental systems. This is one reason why cleaning up\n",
        "> environmental problems is so challenging!\n",
        "\n",
        "#### Problem 4.5 (8)\n",
        "\n",
        "## Solution\n",
        "\n",
        "In each P concentration regime, the associated equilibria are:\n",
        "$$\\begin{aligned}\n",
        "P_1 &= L \\\\\n",
        "P_2 &= 50 - L \\\\\n",
        "P_3 &= L + 20.\n",
        "\\end{aligned}$$ and each is an equilibrium only if it lands inside the\n",
        "case that produced it.\n",
        "\n",
        "For example, when $L = 10$, $P_2 = 40$ and $P_3 = 30$, neither of which\n",
        "are consistent with the relevant case assumptions. The only surviving\n",
        "equilibrium is $P_1 = 10\\ \\mu\\text{g}/\\text{L}$ and it is **stable** as\n",
        "the model’s derivative is $-1$. There is not enough loading to cause the\n",
        "lake’s P concentration to enter a sediment-recycling regime, as the\n",
        "outflow always stabilizes the concentration.\n",
        "\n",
        "When $L=30$, similarly the only surviving value is\n",
        "$P_3 = 50\\ \\mu\\text{g}/\\text{L}$, and it is again **stable**, as the\n",
        "amount of recycling outweighs outflow (so the lake cannot return to an\n",
        "oligotrophic state), but any additional P will leave the system as the\n",
        "amount of recycling is saturated.\n",
        "\n",
        "> **Implications for Management and Remediation**\n",
        ">\n",
        "> This has consequences for the hysteresis observed earlier: for these\n",
        "> low and high values, the history of the lake does not matter, and the\n",
        "> lake will either always be oligotrophic or eutrophic. Thus, if we took\n",
        "> this eutrophic lake and could reduce the external loading to 10\n",
        "> $\\mu\\text{g}/\\text{L}$, the lake would eventually be restored to an\n",
        "> oligotrophic state. In fact, this occurs at any value of $L$ below\n",
        "> $15\\ \\mu\\text{g}/\\text{L}$. This is quite a bit lower, however, than\n",
        "> the original loading value of $25\\ \\mu\\text{g}/\\text{L}$ which could\n",
        "> have caused the lake to eutrophy."
      ],
      "attachments": {
        "figures/lake_diagram.svg": {
          "image/svg+xml": 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BQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFQWllRRlJlZWF1aGNmdzhHOXJZbTNQbFpW\nNmRtRXdiaTdoN3Y3dmxsYUVFeEU5RHBkb3NyWTBhUUtUOW9aS1Jzb0RaOXVCMmRKZmVCaTFycHp5\nbUpSQkQ1MWs9PC9jMnBhOm1hbmlmZXN0PjwvbWV0YWRhdGE+CjxkZWZzPgo8Zz4KPGcgaWQ9Imds\neXBoLTAtMCI+CjxwYXRoIGQ9Ik0gNi43MDMxMjUgLTEuMDMxMjUgTCA1LjIzNDM3NSAtNS40MjE4\nNzUgQyA1LjIzNDM3NSAtNS40NTMxMjUgNS4yMDMxMjUgLTUuNTE1NjI1IDUuMjAzMTI1IC01LjU0\nNjg3NSBDIDUuMjAzMTI1IC01LjgyODEyNSA1LjcxODc1IC01LjgyODEyNSA1Ljk1MzEyNSAtNS44\nMjgxMjUgTCA1Ljk1MzEyNSAtNi4xMDkzNzUgQyA1LjU0Njg3NSAtNi4wNzgxMjUgNS4xMDkzNzUg\nLTYuMDc4MTI1IDQuNzAzMTI1IC02LjA3ODEyNSBDIDQuMjAzMTI1IC02LjA3ODEyNSA0LjE0MDYy\nNSAtNi4wNzgxMjUgMy41OTM3NSAtNi4xMDkzNzUgTCAzLjU5Mzc1IC01LjgyODEyNSBDIDQuMDQ2\nODc1IC01LjgyODEyNSA0LjIxODc1IC01LjgxMjUgNC4zMTI1IC01LjY1NjI1IEMgNC4zOTA2MjUg\nLTUuNTQ2ODc1IDQuNTc4MTI1IC00LjkzNzUgNC41NzgxMjUgLTQuOTM3NSBDIDQuNTc4MTI1IC00\nLjkyMTg3NSA0LjU0Njg3NSAtNC44MjgxMjUgNC41NDY4NzUgLTQuODEyNSBMIDMuMjgxMjUgLTEu\nMDMxMjUgTCAxLjgyODEyNSAtNS4zOTA2MjUgQyAxLjc4MTI1IC01LjUgMS43ODEyNSAtNS41MTU2\nMjUgMS43ODEyNSAtNS41NDY4NzUgQyAxLjc4MTI1IC01LjgyODEyNSAyLjI4MTI1IC01LjgyODEy\nNSAyLjUzMTI1IC01LjgyODEyNSBMIDIuNTMxMjUgLTYuMTA5Mzc1IEMgMi4xMjUgLTYuMDc4MTI1\nIDEuNjg3NSAtNi4wNzgxMjUgMS4yODEyNSAtNi4wNzgxMjUgQyAwLjc4MTI1IC02LjA3ODEyNSAw\nLjcxODc1IC02LjA3ODEyNSAwLjE3MTg3NSAtNi4xMDkzNzUgTCAwLjE3MTg3NSAtNS44MjgxMjUg\nQyAwLjY3MTg3NSAtNS44MjgxMjUgMC44NTkzNzUgLTUuODI4MTI1IDAuOTY4NzUgLTUuNDg0Mzc1\nIEwgMi44MTI1IDAuMDE1NjI1IEMgMi44NDM3NSAwLjE0MDYyNSAyLjg5MDYyNSAwLjIwMzEyNSAz\nIDAuMjAzMTI1IEMgMy4wNzgxMjUgMC4yMDMxMjUgMy4xNDA2MjUgMC4xNzE4NzUgMy4yMDMxMjUg\nMC4wMTU2MjUgTCA0LjcwMzEyNSAtNC41NDY4NzUgTCA2LjIzNDM3NSAtMC4wMTU2MjUgQyA2LjI4\nMTI1IDAuMTQwNjI1IDYuMjk2ODc1IDAuMjAzMTI1IDYuNDIxODc1IDAuMjAzMTI1IEMgNi41MzEy\nNSAwLjIwMzEyNSA2LjU3ODEyNSAwLjE0MDYyNSA2LjYyNSAwLjAxNTYyNSBMIDguMzU5Mzc1IC01\nLjE4NzUgQyA4LjQ4NDM3NSAtNS41OTM3NSA4LjczNDM3NSAtNS44MTI1IDkuMjY1NjI1IC01Ljgy\nODEyNSBMIDkuMjY1NjI1IC02LjEwOTM3NSBDIDguOTg0Mzc1IC02LjA3ODEyNSA4LjcwMzEyNSAt\nNi4wNzgxMjUgOC40MjE4NzUgLTYuMDc4MTI1IEMgOC4xNDA2MjUgLTYuMDc4MTI1IDcuODkwNjI1\nIC02LjA5Mzc1IDcuMzU5Mzc1IC02LjEwOTM3NSBMIDcuMzU5Mzc1IC01LjgyODEyNSBDIDcuOTIx\nODc1IC01LjgxMjUgOC4xNDA2MjUgLTUuNTQ2ODc1IDguMTQwNjI1IC01LjM0Mzc1IEMgOC4xNDA2\nMjUgLTUuMjk2ODc1IDguMTA5Mzc1IC01LjI2NTYyNSA4LjA5Mzc1IC01LjIwMzEyNSBaIE0gNi43\nMDMxMjUgLTEuMDMxMjUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMSI+CjxwYXRoIGQ9Ik0gMy4w\nNjI1IC0wLjY0MDYyNSBDIDMuMDkzNzUgLTAuMjY1NjI1IDMuMzU5Mzc1IDAuMDQ2ODc1IDMuNzUg\nMC4wNDY4NzUgQyAzLjk2ODc1IDAuMDQ2ODc1IDQuNTMxMjUgLTAuMDc4MTI1IDQuNTMxMjUgLTAu\nNzk2ODc1IEwgNC41MzEyNSAtMS4yOTY4NzUgTCA0LjI4MTI1IC0xLjI5Njg3NSBMIDQuMjgxMjUg\nLTAuNzk2ODc1IEMgNC4yODEyNSAtMC43MDMxMjUgNC4yODEyNSAtMC4yNjU2MjUgMy45NTMxMjUg\nLTAuMjY1NjI1IEMgMy42NDA2MjUgLTAuMjY1NjI1IDMuNjQwNjI1IC0wLjY4NzUgMy42NDA2MjUg\nLTAuODI4MTI1IEwgMy42NDA2MjUgLTIuMzkwNjI1IEMgMy42NDA2MjUgLTIuOTA2MjUgMy42NDA2\nMjUgLTMuMjAzMTI1IDMuMjM0Mzc1IC0zLjU3ODEyNSBDIDIuOTA2MjUgLTMuODc1IDIuNDY4NzUg\nLTQgMi4wMzEyNSAtNCBDIDEuMjgxMjUgLTQgMC42NTYyNSAtMy42MjUgMC42NTYyNSAtMy4wNjI1\nIEMgMC42NTYyNSAtMi43ODEyNSAwLjg0Mzc1IC0yLjYyNSAxLjA3ODEyNSAtMi42MjUgQyAxLjMx\nMjUgLTIuNjI1IDEuNDg0Mzc1IC0yLjgxMjUgMS40ODQzNzUgLTMuMDMxMjUgQyAxLjQ4NDM3NSAt\nMy40MjE4NzUgMS4wOTM3NSAtMy40Njg3NSAxLjA3ODEyNSAtMy40Njg3NSBDIDEuMzI4MTI1IC0z\nLjcwMzEyNSAxLjc1IC0zLjc4MTI1IDIuMDE1NjI1IC0zLjc4MTI1IEMgMi40Njg3NSAtMy43ODEy\nNSAyLjk2ODc1IC0zLjQzNzUgMi45Njg3NSAtMi42NTYyNSBMIDIuOTY4NzUgLTIuMzU5Mzc1IEMg\nMi41IC0yLjM0Mzc1IDEuODI4MTI1IC0yLjI5Njg3NSAxLjIxODc1IC0yLjAxNTYyNSBDIDAuNTc4\nMTI1IC0xLjcwMzEyNSAwLjM5MDYyNSAtMS4yMzQzNzUgMC4zOTA2MjUgLTAuODc1IEMgMC4zOTA2\nMjUgLTAuMTQwNjI1IDEuMjUgMC4wOTM3NSAxLjg0Mzc1IDAuMDkzNzUgQyAyLjU5Mzc1IDAuMDkz\nNzUgMi45Mzc1IC0wLjM5MDYyNSAzLjA2MjUgLTAuNjQwNjI1IFogTSAyLjk2ODc1IC0xLjI2NTYy\nNSBDIDIuOTY4NzUgLTAuMzkwNjI1IDIuMzEyNSAtMC4xMjUgMS45MDYyNSAtMC4xMjUgQyAxLjUg\nLTAuMTI1IDEuMDkzNzUgLTAuNDIxODc1IDEuMDkzNzUgLTAuODc1IEMgMS4wOTM3NSAtMS40Njg3\nNSAxLjYwOTM3NSAtMi4wOTM3NSAyLjk2ODc1IC0yLjE0MDYyNSBaIE0gMi45Njg3NSAtMS4yNjU2\nMjUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMiI+CjxwYXRoIGQ9Ik0gMi45MDYyNSAtMy41Nzgx\nMjUgTCAyLjkwNjI1IC0zLjg1OTM3NSBMIDEuNjA5Mzc1IC0zLjg1OTM3NSBMIDEuNjA5Mzc1IC01\nLjUgTCAxLjM1OTM3NSAtNS41IEMgMS4zNDM3NSAtNC43NSAxLjAzMTI1IC0zLjgyODEyNSAwLjE3\nMTg3NSAtMy43OTY4NzUgTCAwLjE3MTg3NSAtMy41NzgxMjUgTCAwLjk1MzEyNSAtMy41NzgxMjUg\nTCAwLjk1MzEyNSAtMS4xMDkzNzUgQyAwLjk1MzEyNSAtMC4xMDkzNzUgMS42NzE4NzUgMC4wOTM3\nNSAyLjE0MDYyNSAwLjA5Mzc1IEMgMi43NSAwLjA5Mzc1IDMuMDYyNSAtMC40Njg3NSAzLjA2MjUg\nLTEuMTA5Mzc1IEwgMy4wNjI1IC0xLjYyNSBMIDIuODEyNSAtMS42MjUgTCAyLjgxMjUgLTEuMTQw\nNjI1IEMgMi44MTI1IC0wLjQ2ODc1IDIuNTMxMjUgLTAuMTU2MjUgMi4yMDMxMjUgLTAuMTU2MjUg\nQyAxLjYwOTM3NSAtMC4xNTYyNSAxLjYwOTM3NSAtMC45Mzc1IDEuNjA5Mzc1IC0xLjA5Mzc1IEwg\nMS42MDkzNzUgLTMuNTc4MTI1IFogTSAyLjkwNjI1IC0zLjU3ODEyNSAiLz4KPC9nPgo8ZyBpZD0i\nZ2x5cGgtMC0zIj4KPHBhdGggZD0iTSAzLjU3ODEyNSAtMi4wNDY4NzUgQyAzLjc2NTYyNSAtMi4w\nNDY4NzUgMy44MTI1IC0yLjA0Njg3NSAzLjgxMjUgLTIuMjM0Mzc1IEMgMy44MTI1IC0zLjE1NjI1\nIDMuMzEyNSAtNCAyLjE3MTg3NSAtNCBDIDEuMDkzNzUgLTQgMC4yNjU2MjUgLTMuMDc4MTI1IDAu\nMjY1NjI1IC0xLjk2ODc1IEMgMC4yNjU2MjUgLTAuNzk2ODc1IDEuMjAzMTI1IDAuMDkzNzUgMi4y\nODEyNSAwLjA5Mzc1IEMgMy4zNzUgMC4wOTM3NSAzLjgxMjUgLTAuODU5Mzc1IDMuODEyNSAtMS4w\nNjI1IEMgMy44MTI1IC0xLjEyNSAzLjc2NTYyNSAtMS4xODc1IDMuNjg3NSAtMS4xODc1IEMgMy42\nMDkzNzUgLTEuMTg3NSAzLjU3ODEyNSAtMS4xMjUgMy41NjI1IC0xLjA3ODEyNSBDIDMuMjY1NjI1\nIC0wLjE3MTg3NSAyLjQ2ODc1IC0wLjE1NjI1IDIuMzI4MTI1IC0wLjE1NjI1IEMgMS45MDYyNSAt\nMC4xNTYyNSAxLjUzMTI1IC0wLjM5MDYyNSAxLjMyODEyNSAtMC43MDMxMjUgQyAxLjAzMTI1IC0x\nLjE0MDYyNSAxLjAzMTI1IC0xLjY3MTg3NSAxLjAzMTI1IC0yLjA0Njg3NSBaIE0gMS4wMzEyNSAt\nMi4yNjU2MjUgQyAxLjEyNSAtMy42NDA2MjUgMS45MjE4NzUgLTMuNzgxMjUgMi4xNzE4NzUgLTMu\nNzgxMjUgQyAyLjY1NjI1IC0zLjc4MTI1IDMuMjAzMTI1IC0zLjQwNjI1IDMuMjAzMTI1IC0yLjI2\nNTYyNSBaIE0gMS4wMzEyNSAtMi4yNjU2MjUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtNCI+Cjxw\nYXRoIGQ9Ik0gMS41OTM3NSAtMi4wNDY4NzUgQyAxLjU5Mzc1IC0yLjQwNjI1IDEuNjg3NSAtMy43\nMzQzNzUgMi43MDMxMjUgLTMuNzM0Mzc1IEwgMi43MDMxMjUgLTMuNzE4NzUgQyAyLjY4NzUgLTMu\nNzAzMTI1IDIuNTQ2ODc1IC0zLjYwOTM3NSAyLjU0Njg3NSAtMy4zOTA2MjUgQyAyLjU0Njg3NSAt\nMy4xNDA2MjUgMi43MzQzNzUgLTMgMi45Mzc1IC0zIEMgMy4xMjUgLTMgMy4zMjgxMjUgLTMuMTI1\nIDMuMzI4MTI1IC0zLjM5MDYyNSBDIDMuMzI4MTI1IC0zLjY4NzUgMy4wNjI1IC0zLjk1MzEyNSAy\nLjY1NjI1IC0zLjk1MzEyNSBDIDIuMTI1IC0zLjk1MzEyNSAxLjc1IC0zLjU3ODEyNSAxLjU0Njg3\nNSAtMy4wMTU2MjUgTCAxLjUzMTI1IC0zLjAxNTYyNSBMIDEuNTMxMjUgLTMuOTUzMTI1IEwgMC4y\nNjU2MjUgLTMuODU5Mzc1IEwgMC4yNjU2MjUgLTMuNTc4MTI1IEMgMC44NzUgLTMuNTc4MTI1IDAu\nOTUzMTI1IC0zLjUxNTYyNSAwLjk1MzEyNSAtMy4wNzgxMjUgTCAwLjk1MzEyNSAtMC42ODc1IEMg\nMC45NTMxMjUgLTAuMjgxMjUgMC44NTkzNzUgLTAuMjgxMjUgMC4yNjU2MjUgLTAuMjgxMjUgTCAw\nLjI2NTYyNSAwIEMgMC43MzQzNzUgLTAuMDE1NjI1IDAuODU5Mzc1IC0wLjAzMTI1IDEuMzEyNSAt\nMC4wMzEyNSBDIDEuNjcxODc1IC0wLjAzMTI1IDEuODkwNjI1IC0wLjAxNTYyNSAyLjQ1MzEyNSAw\nIEwgMi40NTMxMjUgLTAuMjgxMjUgTCAyLjI2NTYyNSAtMC4yODEyNSBDIDEuNjI1IC0wLjI4MTI1\nIDEuNTkzNzUgLTAuMzc1IDEuNTkzNzUgLTAuNzAzMTI1IFogTSAxLjU5Mzc1IC0yLjA0Njg3NSAi\nLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC01Ij4KPHBhdGggZD0iTSAzLjI1IC0zLjUxNTYyNSBDIDMu\nMDYyNSAtMy40ODQzNzUgMi44OTA2MjUgLTMuMzU5Mzc1IDIuODkwNjI1IC0zLjA5Mzc1IEMgMi44\nOTA2MjUgLTIuODU5Mzc1IDMuMDYyNSAtMi42ODc1IDMuMjk2ODc1IC0yLjY4NzUgQyAzLjUzMTI1\nIC0yLjY4NzUgMy43MTg3NSAtMi44MjgxMjUgMy43MTg3NSAtMy4xMDkzNzUgQyAzLjcxODc1IC0z\nLjY3MTg3NSAzLjA5Mzc1IC00IDIuMzEyNSAtNCBDIDEuMTU2MjUgLTQgMC4yOTY4NzUgLTMuMDQ2\nODc1IDAuMjk2ODc1IC0xLjkzNzUgQyAwLjI5Njg3NSAtMC43ODEyNSAxLjIzNDM3NSAwLjA5Mzc1\nIDIuMjgxMjUgMC4wOTM3NSBDIDMuNTMxMjUgMC4wOTM3NSAzLjgxMjUgLTAuOTg0Mzc1IDMuODEy\nNSAtMS4wNjI1IEMgMy44MTI1IC0xLjE3MTg3NSAzLjcxODc1IC0xLjE3MTg3NSAzLjY4NzUgLTEu\nMTcxODc1IEMgMy41OTM3NSAtMS4xNzE4NzUgMy41OTM3NSAtMS4xNTYyNSAzLjU0Njg3NSAtMSBD\nIDMuMzI4MTI1IC0wLjM5MDYyNSAyLjgyODEyNSAtMC4xNTYyNSAyLjM3NSAtMC4xNTYyNSBDIDEu\nODEyNSAtMC4xNTYyNSAxLjA3ODEyNSAtMC42MDkzNzUgMS4wNzgxMjUgLTEuOTM3NSBDIDEuMDc4\nMTI1IC0zLjMyODEyNSAxLjc4MTI1IC0zLjc1IDIuMzI4MTI1IC0zLjc1IEMgMi40Mzc1IC0zLjc1\nIDIuOTIxODc1IC0zLjczNDM3NSAzLjI1IC0zLjUxNTYyNSBaIE0gMy4yNSAtMy41MTU2MjUgIi8+\nCjwvZz4KPGcgaWQ9ImdseXBoLTAtNiI+CjxwYXRoIGQ9Ik0gNC4zMjgxMjUgLTEuOTA2MjUgQyA0\nLjMyODEyNSAtMy4wNzgxMjUgMy4zOTA2MjUgLTQgMi4yOTY4NzUgLTQgQyAxLjE1NjI1IC00IDAu\nMjY1NjI1IC0zLjA0Njg3NSAwLjI2NTYyNSAtMS45MDYyNSBDIDAuMjY1NjI1IC0wLjc4MTI1IDEu\nMTg3NSAwLjA5Mzc1IDIuMjgxMjUgMC4wOTM3NSBDIDMuNDIxODc1IDAuMDkzNzUgNC4zMjgxMjUg\nLTAuNzk2ODc1IDQuMzI4MTI1IC0xLjkwNjI1IFogTSAyLjI5Njg3NSAtMC4xNTYyNSBDIDEuODQz\nNzUgLTAuMTU2MjUgMS40Njg3NSAtMC4zNzUgMS4yNjU2MjUgLTAuNzE4NzUgQyAxLjAzMTI1IC0x\nLjA5Mzc1IDEuMDMxMjUgLTEuNTc4MTI1IDEuMDMxMjUgLTEuOTg0Mzc1IEMgMS4wMzEyNSAtMi4z\nMTI1IDEuMDMxMjUgLTIuODI4MTI1IDEuMjUgLTMuMTg3NSBDIDEuNTE1NjI1IC0zLjY0MDYyNSAx\nLjk2ODc1IC0zLjc4MTI1IDIuMjgxMjUgLTMuNzgxMjUgQyAyLjc5Njg3NSAtMy43ODEyNSAzLjE1\nNjI1IC0zLjUgMy4zNDM3NSAtMy4xODc1IEMgMy41NDY4NzUgLTIuODEyNSAzLjU2MjUgLTIuMzU5\nMzc1IDMuNTYyNSAtMS45ODQzNzUgQyAzLjU2MjUgLTEuNjU2MjUgMy41NjI1IC0xLjE0MDYyNSAz\nLjMyODEyNSAtMC43MzQzNzUgQyAzLjA3ODEyNSAtMC4zMjgxMjUgMi42NzE4NzUgLTAuMTU2MjUg\nMi4yOTY4NzUgLTAuMTU2MjUgWiBNIDIuMjk2ODc1IC0wLjE1NjI1ICIvPgo8L2c+CjxnIGlkPSJn\nbHlwaC0wLTciPgo8cGF0aCBkPSJNIDEuNjQwNjI1IC02LjIwMzEyNSBMIDAuMzI4MTI1IC02LjEw\nOTM3NSBMIDAuMzI4MTI1IC01LjgyODEyNSBDIDAuOTIxODc1IC01LjgyODEyNSAxLjAxNTYyNSAt\nNS43NjU2MjUgMS4wMTU2MjUgLTUuMzI4MTI1IEwgMS4wMTU2MjUgLTAuNjg3NSBDIDEuMDE1NjI1\nIC0wLjI4MTI1IDAuOTA2MjUgLTAuMjgxMjUgMC4zMjgxMjUgLTAuMjgxMjUgTCAwLjMyODEyNSAw\nIEMgMC43MzQzNzUgLTAuMDE1NjI1IDAuOTA2MjUgLTAuMDMxMjUgMS4zMjgxMjUgLTAuMDMxMjUg\nQyAxLjc1IC0wLjAzMTI1IDEuODkwNjI1IC0wLjAxNTYyNSAyLjMyODEyNSAwIEwgMi4zMjgxMjUg\nLTAuMjgxMjUgQyAxLjc1IC0wLjI4MTI1IDEuNjQwNjI1IC0wLjI4MTI1IDEuNjQwNjI1IC0wLjY4\nNzUgWiBNIDEuNjQwNjI1IC02LjIwMzEyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC04Ij4KPHBh\ndGggZD0iTSAzLjU0Njg3NSAtMS41IEMgMy41NDY4NzUgLTAuNzAzMTI1IDMuMDkzNzUgLTAuMTI1\nIDIuNDUzMTI1IC0wLjEyNSBDIDEuNzAzMTI1IC0wLjEyNSAxLjY1NjI1IC0wLjUxNTYyNSAxLjY1\nNjI1IC0wLjk4NDM3NSBMIDEuNjU2MjUgLTMuOTUzMTI1IEwgMC4zMTI1IC0zLjg1OTM3NSBMIDAu\nMzEyNSAtMy41NzgxMjUgQyAxIC0zLjU3ODEyNSAxIC0zLjU0Njg3NSAxIC0yLjc1IEwgMSAtMS40\nMDYyNSBDIDEgLTAuODI4MTI1IDEgLTAuNDUzMTI1IDEuNDA2MjUgLTAuMTQwNjI1IEMgMS42NzE4\nNzUgMC4wMzEyNSAyLjAzMTI1IDAuMDkzNzUgMi4zOTA2MjUgMC4wOTM3NSBDIDIuODU5Mzc1IDAu\nMDkzNzUgMy4yOTY4NzUgLTAuMTA5Mzc1IDMuNTYyNSAtMC42NDA2MjUgTCAzLjU2MjUgMC4wOTM3\nNSBMIDQuODkwNjI1IDAgTCA0Ljg5MDYyNSAtMC4yODEyNSBDIDQuMjgxMjUgLTAuMjgxMjUgNC4y\nMDMxMjUgLTAuMzQzNzUgNC4yMDMxMjUgLTAuNzgxMjUgTCA0LjIwMzEyNSAtMy45NTMxMjUgTCAy\nLjg0Mzc1IC0zLjg1OTM3NSBMIDIuODQzNzUgLTMuNTc4MTI1IEMgMy40NTMxMjUgLTMuNTc4MTI1\nIDMuNTQ2ODc1IC0zLjUxNTYyNSAzLjU0Njg3NSAtMy4wNzgxMjUgWiBNIDMuNTQ2ODc1IC0xLjUg\nIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtOSI+CjxwYXRoIGQ9Ik0gMS42NTYyNSAtMi4zMTI1IEMg\nMS42NTYyNSAtMy4yODEyNSAyLjM1OTM3NSAtMy43MzQzNzUgMi44OTA2MjUgLTMuNzM0Mzc1IEMg\nMy4zOTA2MjUgLTMuNzM0Mzc1IDMuNTQ2ODc1IC0zLjM3NSAzLjU0Njg3NSAtMi43NSBMIDMuNTQ2\nODc1IC0wLjY4NzUgQyAzLjU0Njg3NSAtMC4yODEyNSAzLjQ1MzEyNSAtMC4yODEyNSAyLjg1OTM3\nNSAtMC4yODEyNSBMIDIuODU5Mzc1IDAgQyAzLjI4MTI1IC0wLjAxNTYyNSAzLjQ1MzEyNSAtMC4w\nMzEyNSAzLjg3NSAtMC4wMzEyNSBDIDQuMzEyNSAtMC4wMzEyNSA0LjQyMTg3NSAtMC4wMTU2MjUg\nNC44OTA2MjUgMCBMIDQuODkwNjI1IC0wLjI4MTI1IEMgNC4zMTI1IC0wLjI4MTI1IDQuMjAzMTI1\nIC0wLjI4MTI1IDQuMjAzMTI1IC0wLjY4NzUgTCA0LjIwMzEyNSAtMi4zMTI1IEMgNC4yMDMxMjUg\nLTMuMjgxMjUgNC45MDYyNSAtMy43MzQzNzUgNS40Mzc1IC0zLjczNDM3NSBDIDUuOTM3NSAtMy43\nMzQzNzUgNi4wOTM3NSAtMy4zNzUgNi4wOTM3NSAtMi43NSBMIDYuMDkzNzUgLTAuNjg3NSBDIDYu\nMDkzNzUgLTAuMjgxMjUgNiAtMC4yODEyNSA1LjQwNjI1IC0wLjI4MTI1IEwgNS40MDYyNSAwIEMg\nNS44MjgxMjUgLTAuMDE1NjI1IDYgLTAuMDMxMjUgNi40MjE4NzUgLTAuMDMxMjUgQyA2Ljg1OTM3\nNSAtMC4wMzEyNSA2Ljk2ODc1IC0wLjAxNTYyNSA3LjQzNzUgMCBMIDcuNDM3NSAtMC4yODEyNSBD\nIDYuOTg0Mzc1IC0wLjI4MTI1IDYuNzY1NjI1IC0wLjI4MTI1IDYuNzUgLTAuNTQ2ODc1IEwgNi43\nNSAtMi4yNjU2MjUgQyA2Ljc1IC0zLjA0Njg3NSA2Ljc1IC0zLjI5Njg3NSA2LjQ2ODc1IC0zLjYy\nNSBDIDYuMjgxMjUgLTMuODQzNzUgNS45MjE4NzUgLTMuOTUzMTI1IDUuNSAtMy45NTMxMjUgQyA0\nLjg1OTM3NSAtMy45NTMxMjUgNC40MjE4NzUgLTMuNTc4MTI1IDQuMTcxODc1IC0zLjA5Mzc1IEMg\nNC4wNjI1IC0zLjYyNSAzLjcwMzEyNSAtMy45NTMxMjUgMi45NTMxMjUgLTMuOTUzMTI1IEMgMi4y\nNSAtMy45NTMxMjUgMS44MTI1IC0zLjQ4NDM3NSAxLjYyNSAtMy4wNzgxMjUgTCAxLjYwOTM3NSAt\nMy4wNzgxMjUgTCAxLjYwOTM3NSAtMy45NTMxMjUgTCAwLjMxMjUgLTMuODU5Mzc1IEwgMC4zMTI1\nIC0zLjU3ODEyNSBDIDAuOTIxODc1IC0zLjU3ODEyNSAxIC0zLjUxNTYyNSAxIC0zLjA3ODEyNSBM\nIDEgLTAuNjg3NSBDIDEgLTAuMjgxMjUgMC45MDYyNSAtMC4yODEyNSAwLjMxMjUgLTAuMjgxMjUg\nTCAwLjMxMjUgMCBDIDAuNzM0Mzc1IC0wLjAxNTYyNSAwLjkwNjI1IC0wLjAzMTI1IDEuMzI4MTI1\nIC0wLjAzMTI1IEMgMS43NjU2MjUgLTAuMDMxMjUgMS44NzUgLTAuMDE1NjI1IDIuMzQzNzUgMCBM\nIDIuMzQzNzUgLTAuMjgxMjUgQyAxLjc2NTYyNSAtMC4yODEyNSAxLjY1NjI1IC0wLjI4MTI1IDEu\nNjU2MjUgLTAuNjg3NSBaIE0gMS42NTYyNSAtMi4zMTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0w\nLTEwIj4KPHBhdGggZD0iTSAxLjY1NjI1IC0yLjMxMjUgQyAxLjY1NjI1IC0zLjI2NTYyNSAyLjMy\nODEyNSAtMy43MzQzNzUgMi44OTA2MjUgLTMuNzM0Mzc1IEMgMy40MjE4NzUgLTMuNzM0Mzc1IDMu\nNTQ2ODc1IC0zLjI4MTI1IDMuNTQ2ODc1IC0yLjc1IEwgMy41NDY4NzUgLTAuNjg3NSBDIDMuNTQ2\nODc1IC0wLjI4MTI1IDMuNDM3NSAtMC4yODEyNSAyLjg0Mzc1IC0wLjI4MTI1IEwgMi44NDM3NSAw\nIEMgMy4yNjU2MjUgLTAuMDE1NjI1IDMuNDM3NSAtMC4wMzEyNSAzLjg3NSAtMC4wMzEyNSBDIDQu\nMjk2ODc1IC0wLjAzMTI1IDQuNDIxODc1IC0wLjAxNTYyNSA0Ljg5MDYyNSAwIEwgNC44OTA2MjUg\nLTAuMjgxMjUgQyA0LjQzNzUgLTAuMjgxMjUgNC4yMDMxMjUgLTAuMjgxMjUgNC4yMDMxMjUgLTAu\nNTQ2ODc1IEwgNC4yMDMxMjUgLTIuMjY1NjI1IEMgNC4yMDMxMjUgLTMuMDE1NjI1IDQuMjAzMTI1\nIC0zLjI2NTYyNSAzLjk1MzEyNSAtMy41NzgxMjUgQyAzLjc1IC0zLjgyODEyNSAzLjQwNjI1IC0z\nLjk1MzEyNSAyLjk1MzEyNSAtMy45NTMxMjUgQyAyLjEyNSAtMy45NTMxMjUgMS43NSAtMy4zMjgx\nMjUgMS42MjUgLTMuMDc4MTI1IEwgMS42MDkzNzUgLTMuMDc4MTI1IEwgMS42MDkzNzUgLTMuOTUz\nMTI1IEwgMC4zMTI1IC0zLjg1OTM3NSBMIDAuMzEyNSAtMy41NzgxMjUgQyAwLjkyMTg3NSAtMy41\nNzgxMjUgMSAtMy41MTU2MjUgMSAtMy4wNzgxMjUgTCAxIC0wLjY4NzUgQyAxIC0wLjI4MTI1IDAu\nOTA2MjUgLTAuMjgxMjUgMC4zMTI1IC0wLjI4MTI1IEwgMC4zMTI1IDAgQyAwLjczNDM3NSAtMC4w\nMTU2MjUgMC45MDYyNSAtMC4wMzEyNSAxLjMyODEyNSAtMC4wMzEyNSBDIDEuNzY1NjI1IC0wLjAz\nMTI1IDEuODc1IC0wLjAxNTYyNSAyLjM0Mzc1IDAgTCAyLjM0Mzc1IC0wLjI4MTI1IEMgMS43NjU2\nMjUgLTAuMjgxMjUgMS42NTYyNSAtMC4yODEyNSAxLjY1NjI1IC0wLjY4NzUgWiBNIDEuNjU2MjUg\nLTIuMzEyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xMSI+CjxwYXRoIGQ9Ik0gMy41NjI1IC0y\nLjgxMjUgQyA0LjgxMjUgLTIuODEyNSA1LjczNDM3NSAtMy41NzgxMjUgNS43MzQzNzUgLTQuNDM3\nNSBDIDUuNzM0Mzc1IC01LjMyODEyNSA0LjgxMjUgLTYuMTA5Mzc1IDMuNTYyNSAtNi4xMDkzNzUg\nTCAwLjM1OTM3NSAtNi4xMDkzNzUgTCAwLjM1OTM3NSAtNS44MjgxMjUgTCAwLjU2MjUgLTUuODI4\nMTI1IEMgMS4yNSAtNS44MjgxMjUgMS4yNjU2MjUgLTUuNzM0Mzc1IDEuMjY1NjI1IC01LjM5MDYy\nNSBMIDEuMjY1NjI1IC0wLjcwMzEyNSBDIDEuMjY1NjI1IC0wLjM3NSAxLjI1IC0wLjI4MTI1IDAu\nNTYyNSAtMC4yODEyNSBMIDAuMzU5Mzc1IC0wLjI4MTI1IEwgMC4zNTkzNzUgMCBDIDAuNzY1NjI1\nIC0wLjAzMTI1IDEuMjY1NjI1IC0wLjAzMTI1IDEuNjcxODc1IC0wLjAzMTI1IEMgMi4wNzgxMjUg\nLTAuMDMxMjUgMi41NzgxMjUgLTAuMDMxMjUgMi45ODQzNzUgMCBMIDIuOTg0Mzc1IC0wLjI4MTI1\nIEwgMi43ODEyNSAtMC4yODEyNSBDIDIuMDkzNzUgLTAuMjgxMjUgMi4wNzgxMjUgLTAuMzc1IDIu\nMDc4MTI1IC0wLjcwMzEyNSBMIDIuMDc4MTI1IC0yLjgxMjUgWiBNIDIuMDQ2ODc1IC01LjQ1MzEy\nNSBDIDIuMDQ2ODc1IC01Ljc2NTYyNSAyLjA2MjUgLTUuODI4MTI1IDIuNDg0Mzc1IC01LjgyODEy\nNSBMIDMuMzQzNzUgLTUuODI4MTI1IEMgNC44MTI1IC01LjgyODEyNSA0LjgxMjUgLTQuODQzNzUg\nNC44MTI1IC00LjQzNzUgQyA0LjgxMjUgLTQuMDQ2ODc1IDQuODEyNSAtMy4wNjI1IDMuMzI4MTI1\nIC0zLjA2MjUgTCAyLjA0Njg3NSAtMy4wNjI1IFogTSAyLjA0Njg3NSAtNS40NTMxMjUgIi8+Cjwv\nZz4KPGcgaWQ9ImdseXBoLTAtMTIiPgo8cGF0aCBkPSJNIDMuNjU2MjUgLTYuMjE4NzUgQyAzLjYw\nOTM3NSAtNi4zMjgxMjUgMy41NzgxMjUgLTYuNDA2MjUgMy40Mzc1IC02LjQwNjI1IEMgMy4yOTY4\nNzUgLTYuNDA2MjUgMy4yODEyNSAtNi4zNDM3NSAzLjIxODc1IC02LjIwMzEyNSBMIDEuMzEyNSAt\nMC44OTA2MjUgQyAxLjIwMzEyNSAtMC41OTM3NSAwLjk4NDM3NSAtMC4yODEyNSAwLjI5Njg3NSAt\nMC4yODEyNSBMIDAuMjk2ODc1IDAgQyAwLjY0MDYyNSAtMC4wMzEyNSAwLjg5MDYyNSAtMC4wMzEy\nNSAxLjIxODc1IC0wLjAzMTI1IEMgMS41MzEyNSAtMC4wMzEyNSAxLjcxODc1IC0wLjAxNTYyNSAy\nLjIxODc1IDAgTCAyLjIxODc1IC0wLjI4MTI1IEMgMS43MTg3NSAtMC4yODEyNSAxLjU2MjUgLTAu\nNTYyNSAxLjU2MjUgLTAuNzM0Mzc1IEMgMS41NjI1IC0wLjgxMjUgMS41NzgxMjUgLTAuODU5Mzc1\nIDEuNTkzNzUgLTAuOTA2MjUgTCAyLjAxNTYyNSAtMi4wNjI1IEwgNC4zMjgxMjUgLTIuMDYyNSBM\nIDQuODEyNSAtMC43MDMxMjUgQyA0Ljg1OTM3NSAtMC42MDkzNzUgNC44NTkzNzUgLTAuNTkzNzUg\nNC44NTkzNzUgLTAuNTQ2ODc1IEMgNC44NTkzNzUgLTAuMjgxMjUgNC4zNTkzNzUgLTAuMjgxMjUg\nNC4xMjUgLTAuMjgxMjUgTCA0LjEyNSAwIEMgNC41MzEyNSAtMC4wMzEyNSA1IC0wLjAzMTI1IDUu\nNDA2MjUgLTAuMDMxMjUgQyA1LjgxMjUgLTAuMDMxMjUgNS44NDM3NSAtMC4wMzEyNSA2LjU3ODEy\nNSAwIEwgNi41NzgxMjUgLTAuMjgxMjUgTCA2LjQyMTg3NSAtMC4yODEyNSBDIDUuODc1IC0wLjI4\nMTI1IDUuNzgxMjUgLTAuMzU5Mzc1IDUuNjg3NSAtMC42MDkzNzUgWiBNIDQuMjM0Mzc1IC0yLjMy\nODEyNSBMIDIuMTI1IC0yLjMyODEyNSBMIDMuMTcxODc1IC01LjI1IFogTSA0LjIzNDM3NSAtMi4z\nMjgxMjUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMTMiPgo8cGF0aCBkPSJNIDEuMTI1IC0xLjU5\nMzc1IEMgMS4zNDM3NSAtMS40NTMxMjUgMS42MjUgLTEuMzI4MTI1IDIuMDMxMjUgLTEuMzI4MTI1\nIEMgMi44NzUgLTEuMzI4MTI1IDMuNTE1NjI1IC0xLjkzNzUgMy41MTU2MjUgLTIuNjQwNjI1IEMg\nMy41MTU2MjUgLTMuMDc4MTI1IDMuMjY1NjI1IC0zLjM3NSAzLjE1NjI1IC0zLjUgQyAzLjUxNTYy\nNSAtMy44MjgxMjUgMy45Mzc1IC0zLjgyODEyNSA0LjA0Njg3NSAtMy44MjgxMjUgQyA0IC0zLjc5\nNjg3NSAzLjkyMTg3NSAtMy43NSAzLjkyMTg3NSAtMy41OTM3NSBDIDMuOTIxODc1IC0zLjUgMy45\nODQzNzUgLTMuMzI4MTI1IDQuMTg3NSAtMy4zMjgxMjUgQyA0LjMxMjUgLTMuMzI4MTI1IDQuNDUz\nMTI1IC0zLjQyMTg3NSA0LjQ1MzEyNSAtMy42MDkzNzUgQyA0LjQ1MzEyNSAtMy43NjU2MjUgNC4z\nMjgxMjUgLTQuMDQ2ODc1IDMuOTg0Mzc1IC00LjA0Njg3NSBDIDMuNzE4NzUgLTQuMDQ2ODc1IDMu\nMzEyNSAtMy45NTMxMjUgMyAtMy42MjUgQyAyLjc2NTYyNSAtMy44MjgxMjUgMi40MDYyNSAtMy45\nNTMxMjUgMi4wMzEyNSAtMy45NTMxMjUgQyAxLjE4NzUgLTMuOTUzMTI1IDAuNTQ2ODc1IC0zLjM0\nMzc1IDAuNTQ2ODc1IC0yLjY0MDYyNSBDIDAuNTQ2ODc1IC0yLjE4NzUgMC44MTI1IC0xLjg1OTM3\nNSAwLjk1MzEyNSAtMS43MTg3NSBDIDAuOTM3NSAtMS43MDMxMjUgMC42ODc1IC0xLjM5MDYyNSAw\nLjY4NzUgLTAuOTg0Mzc1IEMgMC42ODc1IC0wLjY3MTg3NSAwLjgyODEyNSAtMC4zNTkzNzUgMS4w\nNzgxMjUgLTAuMjAzMTI1IEMgMC42MDkzNzUgLTAuMDQ2ODc1IDAuMjY1NjI1IDAuMjgxMjUgMC4y\nNjU2MjUgMC43MDMxMjUgQyAwLjI2NTYyNSAxLjMyODEyNSAxLjE0MDYyNSAxLjg0Mzc1IDIuMjgx\nMjUgMS44NDM3NSBDIDMuMzkwNjI1IDEuODQzNzUgNC4zMjgxMjUgMS4zNzUgNC4zMjgxMjUgMC42\nNzE4NzUgQyA0LjMyODEyNSAwLjMxMjUgNC4xNTYyNSAtMC4wNzgxMjUgMy44MjgxMjUgLTAuMjk2\nODc1IEMgMy4zMjgxMjUgLTAuNjA5Mzc1IDIuODEyNSAtMC42MDkzNzUgMS45NTMxMjUgLTAuNjA5\nMzc1IEMgMS43ODEyNSAtMC42MDkzNzUgMS41IC0wLjYwOTM3NSAxLjQyMTg3NSAtMC42MjUgQyAx\nLjE1NjI1IC0wLjY3MTg3NSAwLjk4NDM3NSAtMC45MjE4NzUgMC45ODQzNzUgLTEuMjAzMTI1IEMg\nMC45ODQzNzUgLTEuMzQzNzUgMS4wMzEyNSAtMS40ODQzNzUgMS4xMjUgLTEuNTkzNzUgWiBNIDIu\nMDMxMjUgLTEuNTYyNSBDIDEuMjM0Mzc1IC0xLjU2MjUgMS4yMzQzNzUgLTIuNDM3NSAxLjIzNDM3\nNSAtMi42NDA2MjUgQyAxLjIzNDM3NSAtMi44NzUgMS4yNSAtMy4xODc1IDEuNDA2MjUgLTMuMzkw\nNjI1IEMgMS41MzEyNSAtMy41NzgxMjUgMS43ODEyNSAtMy43MDMxMjUgMi4wMzEyNSAtMy43MDMx\nMjUgQyAyLjgyODEyNSAtMy43MDMxMjUgMi44MjgxMjUgLTIuODQzNzUgMi44MjgxMjUgLTIuNjQw\nNjI1IEMgMi44MjgxMjUgLTIuNDM3NSAyLjgyODEyNSAtMS41NjI1IDIuMDMxMjUgLTEuNTYyNSBa\nIE0gMi40Mzc1IC0wLjA0Njg3NSBDIDIuNzE4NzUgLTAuMDQ2ODc1IDMuODI4MTI1IC0wLjAzMTI1\nIDMuODI4MTI1IDAuNjg3NSBDIDMuODI4MTI1IDEuMjAzMTI1IDMuMTQwNjI1IDEuNTkzNzUgMi4y\nOTY4NzUgMS41OTM3NSBDIDEuNDIxODc1IDEuNTkzNzUgMC43NjU2MjUgMS4xODc1IDAuNzY1NjI1\nIDAuNjg3NSBDIDAuNzY1NjI1IDAuNTQ2ODc1IDAuODQzNzUgLTAuMDQ2ODc1IDEuNjI1IC0wLjA0\nNjg3NSBaIE0gMi40Mzc1IC0wLjA0Njg3NSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xNCI+Cjxw\nYXRoIGQ9Ik0gMS42MjUgLTIuODQzNzUgQyAxLjYyNSAtMy4wMTU2MjUgMS42MjUgLTMuMDMxMjUg\nMS43MTg3NSAtMy4xNzE4NzUgQyAyLjAxNTYyNSAtMy41NzgxMjUgMi40NTMxMjUgLTMuNzM0Mzc1\nIDIuNzk2ODc1IC0zLjczNDM3NSBDIDMuMTg3NSAtMy43MzQzNzUgMy41NDY4NzUgLTMuNTE1NjI1\nIDMuNzY1NjI1IC0zLjE0MDYyNSBDIDQgLTIuNzUgNC4wMTU2MjUgLTIuMjE4NzUgNC4wMTU2MjUg\nLTEuOTM3NSBDIDQuMDE1NjI1IC0xLjUxNTYyNSAzLjk2ODc1IC0xLjA0Njg3NSAzLjczNDM3NSAt\nMC42ODc1IEMgMy41NDY4NzUgLTAuNDA2MjUgMy4xNzE4NzUgLTAuMTI1IDIuNzAzMTI1IC0wLjEy\nNSBDIDIuMjk2ODc1IC0wLjEyNSAxLjk1MzEyNSAtMC4zNDM3NSAxLjc1IC0wLjY3MTg3NSBDIDEu\nNjI1IC0wLjg1OTM3NSAxLjYyNSAtMC44NTkzNzUgMS42MjUgLTEuMDMxMjUgWiBNIDEuNTMxMjUg\nLTAuNTQ2ODc1IEMgMS44MTI1IC0wLjE1NjI1IDIuMjY1NjI1IDAuMDkzNzUgMi43NSAwLjA5Mzc1\nIEMgMy44MTI1IDAuMDkzNzUgNC43OTY4NzUgLTAuNzY1NjI1IDQuNzk2ODc1IC0xLjkzNzUgQyA0\nLjc5Njg3NSAtMy4wNDY4NzUgMy45MDYyNSAtMy45NTMxMjUgMi44MjgxMjUgLTMuOTUzMTI1IEMg\nMi4yMTg3NSAtMy45NTMxMjUgMS44MTI1IC0zLjY0MDYyNSAxLjU5Mzc1IC0zLjM5MDYyNSBMIDEu\nNTkzNzUgLTYuMjAzMTI1IEwgMC4yNjU2MjUgLTYuMTA5Mzc1IEwgMC4yNjU2MjUgLTUuODI4MTI1\nIEMgMC44NzUgLTUuODI4MTI1IDAuOTUzMTI1IC01Ljc2NTYyNSAwLjk1MzEyNSAtNS4zMjgxMjUg\nTCAwLjk1MzEyNSAwIEwgMS4yMDMxMjUgMCBaIE0gMS41MzEyNSAtMC41NDY4NzUgIi8+CjwvZz4K\nPGcgaWQ9ImdseXBoLTAtMTUiPgo8cGF0aCBkPSJNIDEuNjQwNjI1IC0zLjk1MzEyNSBMIDAuMzU5\nMzc1IC0zLjg1OTM3NSBMIDAuMzU5Mzc1IC0zLjU3ODEyNSBDIDAuOTIxODc1IC0zLjU3ODEyNSAx\nLjAxNTYyNSAtMy41MTU2MjUgMS4wMTU2MjUgLTMuMDc4MTI1IEwgMS4wMTU2MjUgLTAuNjg3NSBD\nIDEuMDE1NjI1IC0wLjI4MTI1IDAuOTA2MjUgLTAuMjgxMjUgMC4zMjgxMjUgLTAuMjgxMjUgTCAw\nLjMyODEyNSAwIEMgMC43MTg3NSAtMC4wMTU2MjUgMC45MDYyNSAtMC4wMzEyNSAxLjMxMjUgLTAu\nMDMxMjUgQyAxLjQ1MzEyNSAtMC4wMzEyNSAxLjgyODEyNSAtMC4wMzEyNSAyLjI2NTYyNSAwIEwg\nMi4yNjU2MjUgLTAuMjgxMjUgQyAxLjY4NzUgLTAuMjgxMjUgMS42NDA2MjUgLTAuMzI4MTI1IDEu\nNjQwNjI1IC0wLjY3MTg3NSBaIE0gMS42NzE4NzUgLTUuNSBDIDEuNjcxODc1IC01Ljc4MTI1IDEu\nNDUzMTI1IC01Ljk4NDM3NSAxLjE4NzUgLTUuOTg0Mzc1IEMgMC45MDYyNSAtNS45ODQzNzUgMC43\nMDMxMjUgLTUuNzY1NjI1IDAuNzAzMTI1IC01LjUgQyAwLjcwMzEyNSAtNS4yNSAwLjkwNjI1IC01\nLjAxNTYyNSAxLjE4NzUgLTUuMDE1NjI1IEMgMS40NTMxMjUgLTUuMDE1NjI1IDEuNjcxODc1IC01\nLjIzNDM3NSAxLjY3MTg3NSAtNS41IFogTSAxLjY3MTg3NSAtNS41ICIvPgo8L2c+CjxnIGlkPSJn\nbHlwaC0wLTE2Ij4KPHBhdGggZD0iTSAzLjA3ODEyNSAtMy43NjU2MjUgQyAzLjA3ODEyNSAtMy45\nMjE4NzUgMy4wNzgxMjUgLTQgMi45Njg3NSAtNCBDIDIuOTIxODc1IC00IDIuOTA2MjUgLTQgMi43\nODEyNSAtMy44OTA2MjUgQyAyLjc2NTYyNSAtMy44NzUgMi42ODc1IC0zLjc5Njg3NSAyLjY0MDYy\nNSAtMy43NSBDIDIuMzU5Mzc1IC0zLjk1MzEyNSAyLjA3ODEyNSAtNCAxLjc4MTI1IC00IEMgMC41\nOTM3NSAtNCAwLjI5Njg3NSAtMy4zNTkzNzUgMC4yOTY4NzUgLTIuODkwNjI1IEMgMC4yOTY4NzUg\nLTIuNjA5Mzc1IDAuNDIxODc1IC0yLjM3NSAwLjY0MDYyNSAtMi4xODc1IEMgMC45Mzc1IC0xLjkw\nNjI1IDEuMjgxMjUgLTEuODQzNzUgMS43MzQzNzUgLTEuNzY1NjI1IEMgMi4xODc1IC0xLjY3MTg3\nNSAyLjM0Mzc1IC0xLjY0MDYyNSAyLjUzMTI1IC0xLjUgQyAyLjYyNSAtMS40MjE4NzUgMi44NDM3\nNSAtMS4yNSAyLjg0Mzc1IC0wLjkwNjI1IEMgMi44NDM3NSAtMC4xMjUgMS45NTMxMjUgLTAuMTI1\nIDEuODI4MTI1IC0wLjEyNSBDIDAuOTA2MjUgLTAuMTI1IDAuNjcxODc1IC0wLjg5MDYyNSAwLjU3\nODEyNSAtMS4zNzUgQyAwLjU0Njg3NSAtMS40NTMxMjUgMC41MzEyNSAtMS41MTU2MjUgMC40MjE4\nNzUgLTEuNTE1NjI1IEMgMC4yOTY4NzUgLTEuNTE1NjI1IDAuMjk2ODc1IC0xLjQzNzUgMC4yOTY4\nNzUgLTEuMjgxMjUgTCAwLjI5Njg3NSAtMC4xNDA2MjUgQyAwLjI5Njg3NSAwLjAxNTYyNSAwLjI5\nNjg3NSAwLjA5Mzc1IDAuNDA2MjUgMC4wOTM3NSBDIDAuNDY4NzUgMC4wOTM3NSAwLjQ2ODc1IDAu\nMDkzNzUgMC42NDA2MjUgLTAuMDc4MTI1IEMgMC42NzE4NzUgLTAuMTQwNjI1IDAuNzY1NjI1IC0w\nLjI1IDAuODEyNSAtMC4yOTY4NzUgQyAxLjE4NzUgMC4wNzgxMjUgMS41OTM3NSAwLjA5Mzc1IDEu\nODI4MTI1IDAuMDkzNzUgQyAyLjkyMTg3NSAwLjA5Mzc1IDMuMzEyNSAtMC41NDY4NzUgMy4zMTI1\nIC0xLjE0MDYyNSBDIDMuMzEyNSAtMS41NDY4NzUgMy4xMjUgLTEuNzgxMjUgMi45Mzc1IC0yIEMg\nMi42MjUgLTIuMjgxMjUgMi4zMTI1IC0yLjM0Mzc1IDEuNjQwNjI1IC0yLjQ2ODc1IEMgMS40MDYy\nNSAtMi41MTU2MjUgMC43NjU2MjUgLTIuNjQwNjI1IDAuNzY1NjI1IC0zLjE0MDYyNSBDIDAuNzY1\nNjI1IC0zLjQzNzUgMC45Njg3NSAtMy44MTI1IDEuNzgxMjUgLTMuODEyNSBDIDIuNzUgLTMuODEy\nNSAyLjgxMjUgLTMuMDYyNSAyLjgyODEyNSAtMi44NDM3NSBDIDIuODI4MTI1IC0yLjczNDM3NSAy\nLjgyODEyNSAtMi42ODc1IDIuOTUzMTI1IC0yLjY4NzUgQyAzLjA3ODEyNSAtMi42ODc1IDMuMDc4\nMTI1IC0yLjc1IDMuMDc4MTI1IC0yLjkwNjI1IFogTSAzLjA3ODEyNSAtMy43NjU2MjUgIi8+Cjwv\nZz4KPGcgaWQ9ImdseXBoLTAtMTciPgo8cGF0aCBkPSJNIDYuNjI1IC0zLjAzMTI1IEMgNi42MjUg\nLTQuODU5Mzc1IDUuMjM0Mzc1IC02LjI5Njg3NSAzLjU2MjUgLTYuMjk2ODc1IEMgMS44OTA2MjUg\nLTYuMjk2ODc1IDAuNTE1NjI1IC00Ljg0Mzc1IDAuNTE1NjI1IC0zLjAzMTI1IEMgMC41MTU2MjUg\nLTEuMjE4NzUgMS45MDYyNSAwLjIwMzEyNSAzLjU2MjUgMC4yMDMxMjUgQyA1LjIzNDM3NSAwLjIw\nMzEyNSA2LjYyNSAtMS4yMTg3NSA2LjYyNSAtMy4wMzEyNSBaIE0gMy41NjI1IC0wLjA3ODEyNSBD\nIDIuNjU2MjUgLTAuMDc4MTI1IDEuNDIxODc1IC0wLjg1OTM3NSAxLjQyMTg3NSAtMy4xNTYyNSBD\nIDEuNDIxODc1IC01LjM0Mzc1IDIuNzAzMTI1IC02LjA0Njg3NSAzLjU2MjUgLTYuMDQ2ODc1IEMg\nNC40Mzc1IC02LjA0Njg3NSA1LjcxODc1IC01LjM0Mzc1IDUuNzE4NzUgLTMuMTU2MjUgQyA1Ljcx\nODc1IC0wLjg1OTM3NSA0LjQ2ODc1IC0wLjA3ODEyNSAzLjU2MjUgLTAuMDc4MTI1IFogTSAzLjU2\nMjUgLTAuMDc4MTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTE4Ij4KPHBhdGggZD0iTSAzLjQ4\nNDM3NSAtMS4wNzgxMjUgQyAzLjQ4NDM3NSAtMC45MDYyNSAzLjQ4NDM3NSAtMC44OTA2MjUgMy4z\nNDM3NSAtMC43MDMxMjUgQyAzLjA2MjUgLTAuMjk2ODc1IDIuNjU2MjUgLTAuMTI1IDIuMjk2ODc1\nIC0wLjEyNSBDIDEuOTA2MjUgLTAuMTI1IDEuNTYyNSAtMC4zNDM3NSAxLjMyODEyNSAtMC43MTg3\nNSBDIDEuMDkzNzUgLTEuMDkzNzUgMS4wNzgxMjUgLTEuNjI1IDEuMDc4MTI1IC0xLjkwNjI1IEMg\nMS4wNzgxMjUgLTIuMzI4MTI1IDEuMTI1IC0yLjgxMjUgMS4zNTkzNzUgLTMuMTU2MjUgQyAxLjU2\nMjUgLTMuNDUzMTI1IDEuOTIxODc1IC0zLjczNDM3NSAyLjM5MDYyNSAtMy43MzQzNzUgQyAyLjc2\nNTYyNSAtMy43MzQzNzUgMy4xMjUgLTMuNTQ2ODc1IDMuMzc1IC0zLjIwMzEyNSBDIDMuNDg0Mzc1\nIC0zLjA2MjUgMy40ODQzNzUgLTMuMDQ2ODc1IDMuNDg0Mzc1IC0yLjg3NSBaIE0gMy41IC0zLjQy\nMTg3NSBDIDMuNDUzMTI1IC0zLjQ4NDM3NSAzLjA2MjUgLTMuOTUzMTI1IDIuMzU5Mzc1IC0zLjk1\nMzEyNSBDIDEuMjY1NjI1IC0zLjk1MzEyNSAwLjI5Njg3NSAtMy4wNzgxMjUgMC4yOTY4NzUgLTEu\nOTIxODc1IEMgMC4yOTY4NzUgLTAuNzk2ODc1IDEuMjAzMTI1IDAuMDkzNzUgMi4yNjU2MjUgMC4w\nOTM3NSBDIDIuOTA2MjUgMC4wOTM3NSAzLjMxMjUgLTAuMjgxMjUgMy40ODQzNzUgLTAuNDY4NzUg\nTCAzLjQ4NDM3NSAwLjA5Mzc1IEwgNC44MjgxMjUgMCBMIDQuODI4MTI1IC0wLjI4MTI1IEMgNC4y\nMTg3NSAtMC4yODEyNSA0LjE0MDYyNSAtMC4zNDM3NSA0LjE0MDYyNSAtMC43ODEyNSBMIDQuMTQw\nNjI1IC02LjIwMzEyNSBMIDIuODEyNSAtNi4xMDkzNzUgTCAyLjgxMjUgLTUuODI4MTI1IEMgMy40\nMjE4NzUgLTUuODI4MTI1IDMuNSAtNS43NjU2MjUgMy41IC01LjMyODEyNSBaIE0gMy41IC0zLjQy\nMTg3NSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xOSI+CjxwYXRoIGQ9Ik0gMi4wMzEyNSAtMy43\nMzQzNzUgQyAxLjMxMjUgLTMuOTIxODc1IDEuMDc4MTI1IC00LjQ4NDM3NSAxLjA3ODEyNSAtNC44\nNzUgQyAxLjA3ODEyNSAtNS40ODQzNzUgMS41NjI1IC02LjA0Njg3NSAyLjMxMjUgLTYuMDQ2ODc1\nIEMgMy40Njg3NSAtNi4wNDY4NzUgMy45Mzc1IC01LjE4NzUgNC4wNjI1IC00LjI5Njg3NSBDIDQu\nMDc4MTI1IC00LjEyNSA0LjA5Mzc1IC00LjA3ODEyNSA0LjIwMzEyNSAtNC4wNzgxMjUgQyA0LjMy\nODEyNSAtNC4wNzgxMjUgNC4zMjgxMjUgLTQuMTQwNjI1IDQuMzI4MTI1IC00LjMyODEyNSBMIDQu\nMzI4MTI1IC02LjA0Njg3NSBDIDQuMzI4MTI1IC02LjIzNDM3NSA0LjMyODEyNSAtNi4yOTY4NzUg\nNC4yMTg3NSAtNi4yOTY4NzUgQyA0LjE1NjI1IC02LjI5Njg3NSA0LjE0MDYyNSAtNi4yOTY4NzUg\nNC4wNzgxMjUgLTYuMTg3NSBDIDMuOTY4NzUgLTYuMDMxMjUgNC4wNjI1IC02LjE0MDYyNSAzLjc2\nNTYyNSAtNS42NzE4NzUgQyAzLjYwOTM3NSAtNS44NTkzNzUgMy4xNDA2MjUgLTYuMjk2ODc1IDIu\nMzEyNSAtNi4yOTY4NzUgQyAxLjI2NTYyNSAtNi4yOTY4NzUgMC41MTU2MjUgLTUuNDg0Mzc1IDAu\nNTE1NjI1IC00LjU3ODEyNSBDIDAuNTE1NjI1IC0zLjg3NSAwLjkyMTg3NSAtMy40NTMxMjUgMC45\nNjg3NSAtMy40MDYyNSBDIDEuMzc1IC0zLjAxNTYyNSAxLjUzMTI1IC0yLjk2ODc1IDIuNTkzNzUg\nLTIuNzE4NzUgQyAzLjMyODEyNSAtMi41NDY4NzUgMy40MDYyNSAtMi41MzEyNSAzLjcwMzEyNSAt\nMi4yMTg3NSBDIDMuNzAzMTI1IC0yLjIxODc1IDQuMDE1NjI1IC0xLjg5MDYyNSA0LjAxNTYyNSAt\nMS4zNTkzNzUgQyA0LjAxNTYyNSAtMC43NSAzLjU3ODEyNSAtMC4wNzgxMjUgMi43NjU2MjUgLTAu\nMDc4MTI1IEMgMi4wNzgxMjUgLTAuMDc4MTI1IDAuODI4MTI1IC0wLjM1OTM3NSAwLjc2NTYyNSAt\nMS44NDM3NSBDIDAuNzUgLTEuOTY4NzUgMC43NSAtMi4wMzEyNSAwLjY0MDYyNSAtMi4wMzEyNSBD\nIDAuNTE1NjI1IC0yLjAzMTI1IDAuNTE1NjI1IC0xLjk1MzEyNSAwLjUxNTYyNSAtMS43ODEyNSBM\nIDAuNTE1NjI1IC0wLjA0Njg3NSBDIDAuNTE1NjI1IDAuMTI1IDAuNTE1NjI1IDAuMjAzMTI1IDAu\nNjA5Mzc1IDAuMjAzMTI1IEMgMC42NzE4NzUgMC4yMDMxMjUgMC42ODc1IDAuMTg3NSAwLjc1IDAu\nMDc4MTI1IEMgMC44NTkzNzUgLTAuMDc4MTI1IDAuNzgxMjUgMC4wMzEyNSAxLjA3ODEyNSAtMC40\nMjE4NzUgQyAxLjYyNSAwLjEwOTM3NSAyLjMyODEyNSAwLjIwMzEyNSAyLjc2NTYyNSAwLjIwMzEy\nNSBDIDMuODU5Mzc1IDAuMjAzMTI1IDQuNTc4MTI1IC0wLjcwMzEyNSA0LjU3ODEyNSAtMS42NTYy\nNSBDIDQuNTc4MTI1IC0yLjE1NjI1IDQuMzkwNjI1IC0yLjU2MjUgNC4xODc1IC0yLjgyODEyNSBD\nIDMuNzk2ODc1IC0zLjMxMjUgMy4zOTA2MjUgLTMuNDIxODc1IDIuODEyNSAtMy41NDY4NzUgWiBN\nIDIuMDMxMjUgLTMuNzM0Mzc1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTIwIj4KPHBhdGggZD0i\nTSAxLjc1IC0zLjM3NSBDIDEuNzUgLTMuNjQwNjI1IDEuNTMxMjUgLTMuODU5Mzc1IDEuMjY1NjI1\nIC0zLjg1OTM3NSBDIDEgLTMuODU5Mzc1IDAuNzgxMjUgLTMuNjQwNjI1IDAuNzgxMjUgLTMuMzc1\nIEMgMC43ODEyNSAtMy4xMDkzNzUgMSAtMi44OTA2MjUgMS4yNjU2MjUgLTIuODkwNjI1IEMgMS41\nMzEyNSAtMi44OTA2MjUgMS43NSAtMy4xMDkzNzUgMS43NSAtMy4zNzUgWiBNIDEuNzUgLTAuNDg0\nMzc1IEMgMS43NSAtMC43MzQzNzUgMS41MzEyNSAtMC45Njg3NSAxLjI2NTYyNSAtMC45Njg3NSBD\nIDEgLTAuOTY4NzUgMC43ODEyNSAtMC43MzQzNzUgMC43ODEyNSAtMC40ODQzNzUgQyAwLjc4MTI1\nIC0wLjIxODc1IDEgMCAxLjI2NTYyNSAwIEMgMS41MzEyNSAwIDEuNzUgLTAuMjE4NzUgMS43NSAt\nMC40ODQzNzUgWiBNIDEuNzUgLTAuNDg0Mzc1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTIxIj4K\nPHBhdGggZD0iTSAzLjgxMjUgLTYuMTU2MjUgQyAzLjc4MTI1IC02LjE1NjI1IDMuNzY1NjI1IC02\nLjE1NjI1IDMuNzAzMTI1IC02LjE4NzUgQyAzLjQyMTg3NSAtNi4yOTY4NzUgMy4wNzgxMjUgLTYu\nMjk2ODc1IDIuOTM3NSAtNi4yOTY4NzUgQyAxLjkyMTg3NSAtNi4yOTY4NzUgMC45NTMxMjUgLTUu\nNzY1NjI1IDAuOTUzMTI1IC00Ljg1OTM3NSBMIDAuOTUzMTI1IC0zLjg1OTM3NSBMIDAuMjUgLTMu\nODU5Mzc1IEwgMC4yNSAtMy41NzgxMjUgTCAwLjk1MzEyNSAtMy41NzgxMjUgTCAwLjk1MzEyNSAt\nMC42ODc1IEMgMC45NTMxMjUgLTAuMjgxMjUgMC44NTkzNzUgLTAuMjgxMjUgMC4yNjU2MjUgLTAu\nMjgxMjUgTCAwLjI2NTYyNSAwIEMgMC42ODc1IC0wLjAxNTYyNSAwLjg1OTM3NSAtMC4wMzEyNSAx\nLjI2NTYyNSAtMC4wMzEyNSBDIDEuNjg3NSAtMC4wMzEyNSAxLjg0Mzc1IC0wLjAxNTYyNSAyLjI4\nMTI1IDAgTCAyLjI4MTI1IC0wLjI4MTI1IEMgMS42ODc1IC0wLjI4MTI1IDEuNTkzNzUgLTAuMjgx\nMjUgMS41OTM3NSAtMC42ODc1IEwgMS41OTM3NSAtMy41NzgxMjUgTCAzLjUgLTMuNTc4MTI1IEwg\nMy41IC0wLjY4NzUgQyAzLjUgLTAuMjgxMjUgMy40MDYyNSAtMC4yODEyNSAyLjgxMjUgLTAuMjgx\nMjUgTCAyLjgxMjUgMCBDIDMuMjM0Mzc1IC0wLjAxNTYyNSAzLjQwNjI1IC0wLjAzMTI1IDMuODEy\nNSAtMC4wMzEyNSBDIDQuMjM0Mzc1IC0wLjAzMTI1IDQuMzkwNjI1IC0wLjAxNTYyNSA0LjgyODEy\nNSAwIEwgNC44MjgxMjUgLTAuMjgxMjUgQyA0LjIzNDM3NSAtMC4yODEyNSA0LjE0MDYyNSAtMC4y\nODEyNSA0LjE0MDYyNSAtMC42ODc1IEwgNC4xNDA2MjUgLTYuMjAzMTI1IFogTSAxLjU2MjUgLTQu\nODI4MTI1IEMgMS41NjI1IC01LjcxODc1IDIuMzEyNSAtNi4wNzgxMjUgMi45Mzc1IC02LjA3ODEy\nNSBDIDMuMTI1IC02LjA3ODEyNSAzLjMxMjUgLTYuMDYyNSAzLjUgLTYgQyAzLjM3NSAtNS45Mzc1\nIDMuMjk2ODc1IC01Ljc5Njg3NSAzLjI5Njg3NSAtNS42NTYyNSBDIDMuMjk2ODc1IC01LjUzMTI1\nIDMuMzU5Mzc1IC01LjM5MDYyNSAzLjUgLTUuMzEyNSBMIDMuNSAtMy44NTkzNzUgTCAxLjU2MjUg\nLTMuODU5Mzc1IFogTSAxLjU2MjUgLTQuODI4MTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTIy\nIj4KPHBhdGggZD0iTSA1LjY4NzUgLTIuOTg0Mzc1IEMgNS44OTA2MjUgLTMuNTMxMjUgNi4yNSAt\nMy41NjI1IDYuNDM3NSAtMy41NzgxMjUgTCA2LjQzNzUgLTMuODU5Mzc1IEMgNi4wOTM3NSAtMy44\nMjgxMjUgNi4wNjI1IC0zLjgyODEyNSA1Ljc4MTI1IC0zLjgyODEyNSBDIDUuNDM3NSAtMy44Mjgx\nMjUgNS4zMTI1IC0zLjgyODEyNSA0Ljk1MzEyNSAtMy44NTkzNzUgTCA0Ljk1MzEyNSAtMy41Nzgx\nMjUgQyA1LjMyODEyNSAtMy41NjI1IDUuNDUzMTI1IC0zLjMyODEyNSA1LjQ1MzEyNSAtMy4xNDA2\nMjUgQyA1LjQ1MzEyNSAtMy4wNjI1IDUuNDM3NSAtMyA1LjQyMTg3NSAtMi45Mzc1IEwgNC41OTM3\nNSAtMC43MDMxMjUgTCAzLjY4NzUgLTMuMTU2MjUgQyAzLjY0MDYyNSAtMy4yNjU2MjUgMy42NDA2\nMjUgLTMuMjk2ODc1IDMuNjQwNjI1IC0zLjMyODEyNSBDIDMuNjQwNjI1IC0zLjU2MjUgMy45MjE4\nNzUgLTMuNTc4MTI1IDQuMTU2MjUgLTMuNTc4MTI1IEwgNC4xNTYyNSAtMy44NTkzNzUgQyAzLjc1\nIC0zLjgyODEyNSAzLjM3NSAtMy44MjgxMjUgMy4yMzQzNzUgLTMuODI4MTI1IEMgMi45NTMxMjUg\nLTMuODI4MTI1IDIuNzAzMTI1IC0zLjgyODEyNSAyLjQwNjI1IC0zLjg1OTM3NSBMIDIuNDA2MjUg\nLTMuNTc4MTI1IEMgMi43MDMxMjUgLTMuNTc4MTI1IDIuODc1IC0zLjU2MjUgMi45Njg3NSAtMy40\nMzc1IEMgMy4wNjI1IC0zLjM0Mzc1IDMuMTcxODc1IC0yLjk4NDM3NSAzLjE3MTg3NSAtMi45NTMx\nMjUgQyAzLjE3MTg3NSAtMi45Mzc1IDMuMTI1IC0yLjg0Mzc1IDMuMTI1IC0yLjgyODEyNSBMIDIu\nMzkwNjI1IC0wLjgyODEyNSBMIDEuNTQ2ODc1IC0zLjE0MDYyNSBDIDEuNSAtMy4yODEyNSAxLjUg\nLTMuMjk2ODc1IDEuNSAtMy4zMjgxMjUgQyAxLjUgLTMuNTc4MTI1IDEuODQzNzUgLTMuNTc4MTI1\nIDIuMDE1NjI1IC0zLjU3ODEyNSBMIDIuMDE1NjI1IC0zLjg1OTM3NSBDIDEuNTkzNzUgLTMuODI4\nMTI1IDEuMzkwNjI1IC0zLjgyODEyNSAxLjAzMTI1IC0zLjgyODEyNSBDIDAuNzM0Mzc1IC0zLjgy\nODEyNSAwLjQ4NDM3NSAtMy44MjgxMjUgMC4xNzE4NzUgLTMuODU5Mzc1IEwgMC4xNzE4NzUgLTMu\nNTc4MTI1IEMgMC42MDkzNzUgLTMuNTc4MTI1IDAuNzE4NzUgLTMuNTYyNSAwLjgyODEyNSAtMy4y\nNSBMIDEuOTg0Mzc1IC0wLjA5Mzc1IEMgMi4wMzEyNSAwLjAxNTYyNSAyLjA2MjUgMC4wOTM3NSAy\nLjE4NzUgMC4wOTM3NSBDIDIuMzI4MTI1IDAuMDkzNzUgMi4zNTkzNzUgMCAyLjM5MDYyNSAtMC4w\nOTM3NSBMIDMuMzEyNSAtMi41OTM3NSBMIDQuMjM0Mzc1IC0wLjA5Mzc1IEMgNC4yNjU2MjUgMCA0\nLjI5Njg3NSAwLjA5Mzc1IDQuNDM3NSAwLjA5Mzc1IEMgNC41NjI1IDAuMDkzNzUgNC41OTM3NSAw\nLjAxNTYyNSA0LjYyNSAtMC4wNzgxMjUgWiBNIDUuNjg3NSAtMi45ODQzNzUgIi8+CjwvZz4KPGcg\naWQ9ImdseXBoLTAtMjMiPgo8cGF0aCBkPSJNIDQuNzM0Mzc1IC0yLjE0MDYyNSBDIDQuNSAtMS43\nNjU2MjUgNC4yNSAtMS4zOTA2MjUgMy45Mzc1IC0xLjA2MjUgQyAzLjg1OTM3NSAtMS4xNTYyNSAy\nLjg0Mzc1IC0yLjM5MDYyNSAyLjQzNzUgLTMuNDIxODc1IEMgMy4xNDA2MjUgLTQuMjE4NzUgMy41\nNjI1IC00LjY4NzUgMy41NjI1IC01LjIzNDM3NSBDIDMuNTYyNSAtNS42MjUgMy40MDYyNSAtNi40\nMDYyNSAyLjc1IC02LjQwNjI1IEMgMi4xNzE4NzUgLTYuNDA2MjUgMS40ODQzNzUgLTUuOTA2MjUg\nMS40ODQzNzUgLTQuOTM3NSBDIDEuNDg0Mzc1IC00LjY3MTg3NSAxLjUxNTYyNSAtMy45ODQzNzUg\nMS44NDM3NSAtMy4xNDA2MjUgTCAwLjk2ODc1IC0yLjI1IEMgMC41OTM3NSAtMS44NDM3NSAwLjM5\nMDYyNSAtMS42NDA2MjUgMC4zOTA2MjUgLTEuMTU2MjUgQyAwLjM5MDYyNSAtMC4zNzUgMS4xNDA2\nMjUgMC4yMDMxMjUgMi4wNDY4NzUgMC4yMDMxMjUgQyAyLjY1NjI1IDAuMjAzMTI1IDMuMjE4NzUg\nLTAuMDQ2ODc1IDMuNzAzMTI1IC0wLjQ2ODc1IEMgNC4zOTA2MjUgMC4xMDkzNzUgNC45ODQzNzUg\nMC4yMDMxMjUgNS4zMjgxMjUgMC4yMDMxMjUgQyA2LjAxNTYyNSAwLjIwMzEyNSA2LjYwOTM3NSAt\nMC4zMTI1IDYuNjI1IC0xLjA3ODEyNSBMIDYuMzc1IC0xLjA3ODEyNSBDIDYuMzU5Mzc1IC0wLjQw\nNjI1IDUuNzk2ODc1IC0wLjA3ODEyNSA1LjM1OTM3NSAtMC4wNzgxMjUgQyA0Ljg3NSAtMC4wNzgx\nMjUgNC41MTU2MjUgLTAuNDUzMTI1IDQuMTA5Mzc1IC0wLjg1OTM3NSBDIDQuNSAtMS4zMTI1IDQu\nODU5Mzc1IC0xLjg3NSA1LjE3MTg3NSAtMi4zNzUgTCA1LjU0Njg3NSAtMi45ODQzNzUgQyA1Ljgx\nMjUgLTMuNDA2MjUgNi4xNzE4NzUgLTMuNTYyNSA2LjY3MTg3NSAtMy41NzgxMjUgTCA2LjY3MTg3\nNSAtMy44NTkzNzUgQyA2LjM1OTM3NSAtMy44MjgxMjUgNS43OTY4NzUgLTMuODI4MTI1IDUuNzgx\nMjUgLTMuODI4MTI1IEMgNS40ODQzNzUgLTMuODI4MTI1IDUuMjUgLTMuODI4MTI1IDQuNzAzMTI1\nIC0zLjg1OTM3NSBMIDQuNzAzMTI1IC0zLjU3ODEyNSBDIDUuMTI1IC0zLjU3ODEyNSA1LjMxMjUg\nLTMuMzkwNjI1IDUuMzEyNSAtMy4xODc1IEMgNS4zMTI1IC0zLjA5Mzc1IDUuMjk2ODc1IC0zLjA2\nMjUgNS4yMDMxMjUgLTIuOTIxODc1IFogTSAyLjM0Mzc1IC0zLjY3MTg3NSBDIDIuMDkzNzUgLTQu\nMzkwNjI1IDIuMDc4MTI1IC01LjA2MjUgMi4wNzgxMjUgLTUuMTg3NSBDIDIuMDc4MTI1IC01LjY4\nNzUgMi4zMjgxMjUgLTYuMTcxODc1IDIuNzY1NjI1IC02LjE3MTg3NSBDIDMuMjgxMjUgLTYuMTcx\nODc1IDMuMzEyNSAtNS4zMTI1IDMuMzEyNSAtNS4yMzQzNzUgQyAzLjMxMjUgLTQuNjI1IDIuNDY4\nNzUgLTMuNzgxMjUgMi4zNDM3NSAtMy42NzE4NzUgWiBNIDEuOTUzMTI1IC0yLjkwNjI1IEMgMi4x\nODc1IC0yLjM0Mzc1IDIuNTQ2ODc1IC0xLjgyODEyNSAyLjcxODc1IC0xLjU5Mzc1IEMgMy4wNjI1\nIC0xLjEyNSAzLjE3MTg3NSAtMSAzLjUxNTYyNSAtMC42NTYyNSBDIDMuMjE4NzUgLTAuMzkwNjI1\nIDIuNzAzMTI1IC0wLjA3ODEyNSAyLjA5Mzc1IC0wLjA3ODEyNSBDIDEuMzc1IC0wLjA3ODEyNSAx\nLjE1NjI1IC0wLjkwNjI1IDEuMTU2MjUgLTEuNDA2MjUgQyAxLjE1NjI1IC0yLjE0MDYyNSAxLjQy\nMTg3NSAtMi40MDYyNSAxLjk1MzEyNSAtMi45MDYyNSBaIE0gMS45NTMxMjUgLTIuOTA2MjUgIi8+\nCjwvZz4KPGcgaWQ9ImdseXBoLTAtMjQiPgo8cGF0aCBkPSJNIDYuMzEyNSAtMi4wNDY4NzUgQyA2\nLjQzNzUgLTIuMDQ2ODc1IDYuNjI1IC0yLjA0Njg3NSA2LjYyNSAtMi4yMzQzNzUgQyA2LjYyNSAt\nMi40Mzc1IDYuNDUzMTI1IC0yLjQzNzUgNi4zMTI1IC0yLjQzNzUgTCAzLjc2NTYyNSAtMi40Mzc1\nIEwgMy43NjU2MjUgLTQuOTg0Mzc1IEMgMy43NjU2MjUgLTUuMTI1IDMuNzY1NjI1IC01LjI5Njg3\nNSAzLjU2MjUgLTUuMjk2ODc1IEMgMy4zNzUgLTUuMjk2ODc1IDMuMzc1IC01LjEwOTM3NSAzLjM3\nNSAtNC45ODQzNzUgTCAzLjM3NSAtMi40Mzc1IEwgMC44MjgxMjUgLTIuNDM3NSBDIDAuNzAzMTI1\nIC0yLjQzNzUgMC41MTU2MjUgLTIuNDM3NSAwLjUxNTYyNSAtMi4yNSBDIDAuNTE1NjI1IC0yLjA0\nNjg3NSAwLjY3MTg3NSAtMi4wNDY4NzUgMC44MjgxMjUgLTIuMDQ2ODc1IEwgMy4zNzUgLTIuMDQ2\nODc1IEwgMy4zNzUgMC41MTU2MjUgQyAzLjM3NSAwLjY1NjI1IDMuMzc1IDAuODI4MTI1IDMuNTc4\nMTI1IDAuODI4MTI1IEMgMy43NjU2MjUgMC44MjgxMjUgMy43NjU2MjUgMC42NDA2MjUgMy43NjU2\nMjUgMC41MTU2MjUgTCAzLjc2NTYyNSAtMi4wNDY4NzUgWiBNIDYuMzEyNSAtMi4wNDY4NzUgIi8+\nCjwvZz4KPGcgaWQ9ImdseXBoLTEtMCI+CjxwYXRoIGQ9Ik0gMy4yMDMxMjUgLTEuMTA5Mzc1IEwg\nMi45ODQzNzUgLTEuMTA5Mzc1IEMgMi45Njg3NSAtMS4wMzEyNSAyLjkwNjI1IC0wLjY0MDYyNSAy\nLjgyODEyNSAtMC41NzgxMjUgQyAyLjc4MTI1IC0wLjUzMTI1IDIuMjk2ODc1IC0wLjUzMTI1IDIu\nMjE4NzUgLTAuNTMxMjUgTCAxLjA5Mzc1IC0wLjUzMTI1IEwgMS44NTkzNzUgLTEuMTU2MjUgQyAy\nLjA2MjUgLTEuMzEyNSAyLjU5Mzc1IC0xLjcwMzEyNSAyLjc4MTI1IC0xLjg3NSBDIDIuOTUzMTI1\nIC0yLjA0Njg3NSAzLjIwMzEyNSAtMi4zNTkzNzUgMy4yMDMxMjUgLTIuNzgxMjUgQyAzLjIwMzEy\nNSAtMy41MzEyNSAyLjUzMTI1IC0zLjk1MzEyNSAxLjczNDM3NSAtMy45NTMxMjUgQyAwLjk2ODc1\nIC0zLjk1MzEyNSAwLjQyMTg3NSAtMy40NTMxMjUgMC40MjE4NzUgLTIuODkwNjI1IEMgMC40MjE4\nNzUgLTIuNTkzNzUgMC42ODc1IC0yLjU0Njg3NSAwLjc1IC0yLjU0Njg3NSBDIDAuOTA2MjUgLTIu\nNTQ2ODc1IDEuMDc4MTI1IC0yLjY1NjI1IDEuMDc4MTI1IC0yLjg3NSBDIDEuMDc4MTI1IC0zIDEg\nLTMuMjAzMTI1IDAuNzM0Mzc1IC0zLjIwMzEyNSBDIDAuODc1IC0zLjUgMS4yMzQzNzUgLTMuNzM0\nMzc1IDEuNjQwNjI1IC0zLjczNDM3NSBDIDIuMjY1NjI1IC0zLjczNDM3NSAyLjU5Mzc1IC0zLjI2\nNTYyNSAyLjU5Mzc1IC0yLjc4MTI1IEMgMi41OTM3NSAtMi4zNTkzNzUgMi4zMjgxMjUgLTEuOTIx\nODc1IDEuOTA2MjUgLTEuNTQ2ODc1IEwgMC41IC0wLjI1IEMgMC40Mzc1IC0wLjE4NzUgMC40MjE4\nNzUgLTAuMTg3NSAwLjQyMTg3NSAwIEwgMy4wMTU2MjUgMCBaIE0gMy4yMDMxMjUgLTEuMTA5Mzc1\nICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0yLTAiPgo8cGF0aCBkPSJNIDQuMzEyNSAtMC45MDYyNSBD\nIDQuMjY1NjI1IC0xLjAxNTYyNSA0LjE4NzUgLTEuMDc4MTI1IDQuMTQwNjI1IC0xLjA3ODEyNSBD\nIDQuMDkzNzUgLTEuMDc4MTI1IDQuMDc4MTI1IC0xLjA0Njg3NSA0LjAxNTYyNSAtMC45Njg3NSBD\nIDMuNSAtMC4zMjgxMjUgMi43ODEyNSAtMC4xMjUgMi4zNzUgLTAuMTI1IEMgMS45MjE4NzUgLTAu\nMTI1IDEuNjQwNjI1IC0wLjQ2ODc1IDEuNjQwNjI1IC0xLjA0Njg3NSBDIDEuNjQwNjI1IC0xLjQz\nNzUgMS44MjgxMjUgLTIuMzI4MTI1IDIuMTQwNjI1IC0yLjg5MDYyNSBDIDIuNDA2MjUgLTMuMzU5\nMzc1IDIuODU5Mzc1IC0zLjczNDM3NSAzLjMxMjUgLTMuNzM0Mzc1IEMgMy40MjE4NzUgLTMuNzM0\nMzc1IDMuNzk2ODc1IC0zLjcwMzEyNSAzLjk1MzEyNSAtMy4zNTkzNzUgQyAzLjU2MjUgLTMuMzEy\nNSAzLjU0Njg3NSAtMi45Njg3NSAzLjU0Njg3NSAtMi45Mzc1IEMgMy41NDY4NzUgLTIuNjg3NSAz\nLjc4MTI1IC0yLjY0MDYyNSAzLjg0Mzc1IC0yLjY0MDYyNSBDIDQuMDE1NjI1IC0yLjY0MDYyNSA0\nLjI5Njg3NSAtMi43ODEyNSA0LjI5Njg3NSAtMy4xODc1IEMgNC4yOTY4NzUgLTMuNjA5Mzc1IDMu\nOTA2MjUgLTMuOTUzMTI1IDMuMjk2ODc1IC0zLjk1MzEyNSBDIDIuMTU2MjUgLTMuOTUzMTI1IDAu\nOTg0Mzc1IC0yLjY4NzUgMC45ODQzNzUgLTEuMzkwNjI1IEMgMC45ODQzNzUgLTAuNTkzNzUgMS40\nNjg3NSAwLjA5Mzc1IDIuMzU5Mzc1IDAuMDkzNzUgQyAzLjE4NzUgMC4wOTM3NSAzLjk2ODc1IC0w\nLjM0Mzc1IDQuMzEyNSAtMC45MDYyNSBaIE0gNC4zMTI1IC0wLjkwNjI1ICIvPgo8L2c+CjxnIGlk\nPSJnbHlwaC0yLTEiPgo8cGF0aCBkPSJNIDQuNDIxODc1IC0zLjM0Mzc1IEMgNC40NTMxMjUgLTMu\nNDY4NzUgNC40NTMxMjUgLTMuNDg0Mzc1IDQuNDUzMTI1IC0zLjUxNTYyNSBDIDQuNDUzMTI1IC0z\nLjY3MTg3NSA0LjM0Mzc1IC0zLjc2NTYyNSA0LjIwMzEyNSAtMy43NjU2MjUgQyA0LjA3ODEyNSAt\nMy43NjU2MjUgMy44OTA2MjUgLTMuNzAzMTI1IDMuODI4MTI1IC0zLjQ1MzEyNSBDIDMuNzUgLTMu\nNjI1IDMuNTE1NjI1IC0zLjk1MzEyNSAzLjA2MjUgLTMuOTUzMTI1IEMgMi4wNjI1IC0zLjk1MzEy\nNSAwLjk4NDM3NSAtMi42NTYyNSAwLjk4NDM3NSAtMS4zMTI1IEMgMC45ODQzNzUgLTAuMzkwNjI1\nIDEuNTE1NjI1IDAuMDkzNzUgMi4wOTM3NSAwLjA5Mzc1IEMgMi42NDA2MjUgMC4wOTM3NSAzLjAz\nMTI1IC0wLjMyODEyNSAzLjIwMzEyNSAtMC41MTU2MjUgQyAzLjI5Njg3NSAtMC4xMjUgMy42MDkz\nNzUgMC4wOTM3NSAzLjk4NDM3NSAwLjA5Mzc1IEMgNC4zOTA2MjUgMC4wOTM3NSA0LjU3ODEyNSAt\nMC4yNjU2MjUgNC42NDA2MjUgLTAuNDA2MjUgQyA0LjgxMjUgLTAuNzM0Mzc1IDQuOTIxODc1IC0x\nLjI1IDQuOTIxODc1IC0xLjI4MTI1IEMgNC45MjE4NzUgLTEuMzkwNjI1IDQuODEyNSAtMS4zOTA2\nMjUgNC43NjU2MjUgLTEuMzkwNjI1IEMgNC42NDA2MjUgLTEuMzkwNjI1IDQuNjI1IC0xLjM0Mzc1\nIDQuNTkzNzUgLTEuMTg3NSBDIDQuNDM3NSAtMC41OTM3NSA0LjI4MTI1IC0wLjEyNSAzLjk4NDM3\nNSAtMC4xMjUgQyAzLjgxMjUgLTAuMTI1IDMuNzUgLTAuMjY1NjI1IDMuNzUgLTAuNDg0Mzc1IEMg\nMy43NSAtMC41NzgxMjUgMy43ODEyNSAtMC43NjU2MjUgMy44MjgxMjUgLTAuOTUzMTI1IFogTSAz\nLjI1IC0xLjEyNSBDIDMuMTcxODc1IC0wLjgxMjUgMi42MDkzNzUgLTAuMTI1IDIuMTI1IC0wLjEy\nNSBDIDEuNjQwNjI1IC0wLjEyNSAxLjYwOTM3NSAtMC43ODEyNSAxLjYwOTM3NSAtMC45MjE4NzUg\nQyAxLjYwOTM3NSAtMS4zNzUgMS44NzUgLTIuMzU5Mzc1IDIuMDE1NjI1IC0yLjcwMzEyNSBDIDIu\nMjUgLTMuMjY1NjI1IDIuNjcxODc1IC0zLjczNDM3NSAzLjA2MjUgLTMuNzM0Mzc1IEMgMy42MDkz\nNzUgLTMuNzM0Mzc1IDMuNjg3NSAtMi45Njg3NSAzLjY4NzUgLTIuOTA2MjUgQyAzLjY4NzUgLTIu\nODc1IDMuNjg3NSAtMi44NTkzNzUgMy42NzE4NzUgLTIuNzY1NjI1IFogTSAzLjI1IC0xLjEyNSAi\nLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMi0yIj4KPHBhdGggZD0iTSAyLjM3NSAtMy41NzgxMjUgTCAz\nLjE0MDYyNSAtMy41NzgxMjUgQyAzLjI4MTI1IC0zLjU3ODEyNSAzLjM5MDYyNSAtMy41NzgxMjUg\nMy4zOTA2MjUgLTMuNzM0Mzc1IEMgMy4zOTA2MjUgLTMuODU5Mzc1IDMuMjk2ODc1IC0zLjg1OTM3\nNSAzLjE1NjI1IC0zLjg1OTM3NSBMIDIuNDM3NSAtMy44NTkzNzUgTCAyLjc2NTYyNSAtNS4xNzE4\nNzUgQyAyLjgxMjUgLTUuMjk2ODc1IDIuODEyNSAtNS4zMTI1IDIuODEyNSAtNS4zNDM3NSBDIDIu\nODEyNSAtNS41IDIuNjg3NSAtNS41OTM3NSAyLjU0Njg3NSAtNS41OTM3NSBDIDIuMzEyNSAtNS41\nOTM3NSAyLjIwMzEyNSAtNS4zOTA2MjUgMi4xNzE4NzUgLTUuMjUgTCAxLjgyODEyNSAtMy44NTkz\nNzUgTCAxLjA2MjUgLTMuODU5Mzc1IEMgMC45MDYyNSAtMy44NTkzNzUgMC44MTI1IC0zLjg1OTM3\nNSAwLjgxMjUgLTMuNjg3NSBDIDAuODEyNSAtMy41NzgxMjUgMC45MDYyNSAtMy41NzgxMjUgMS4w\nNDY4NzUgLTMuNTc4MTI1IEwgMS43NSAtMy41NzgxMjUgTCAxLjEyNSAtMS4wMTU2MjUgQyAxLjEy\nNSAtMS4wMTU2MjUgMS4wNzgxMjUgLTAuODQzNzUgMS4wNzgxMjUgLTAuNzE4NzUgQyAxLjA3ODEy\nNSAtMC4zMTI1IDEuMzQzNzUgMC4wOTM3NSAxLjg3NSAwLjA5Mzc1IEMgMi43ODEyNSAwLjA5Mzc1\nIDMuMjY1NjI1IC0xLjIwMzEyNSAzLjI2NTYyNSAtMS4yODEyNSBDIDMuMjY1NjI1IC0xLjM5MDYy\nNSAzLjE1NjI1IC0xLjM5MDYyNSAzLjEyNSAtMS4zOTA2MjUgQyAzLjAxNTYyNSAtMS4zOTA2MjUg\nMyAtMS4zNTkzNzUgMi45NTMxMjUgLTEuMjM0Mzc1IEMgMi43MDMxMjUgLTAuNjA5Mzc1IDIuMzI4\nMTI1IC0wLjEyNSAxLjg5MDYyNSAtMC4xMjUgQyAxLjc5Njg3NSAtMC4xMjUgMS42NDA2MjUgLTAu\nMTQwNjI1IDEuNjQwNjI1IC0wLjQ4NDM3NSBDIDEuNjQwNjI1IC0wLjU3ODEyNSAxLjY3MTg3NSAt\nMC43NjU2MjUgMS43MTg3NSAtMC45NTMxMjUgWiBNIDIuMzc1IC0zLjU3ODEyNSAiLz4KPC9nPgo8\nZyBpZD0iZ2x5cGgtMi0zIj4KPHBhdGggZD0iTSAyLjcxODc1IC01LjkyMTg3NSBDIDIuNzUgLTYu\nMDQ2ODc1IDIuNzY1NjI1IC02LjA0Njg3NSAyLjc2NTYyNSAtNi4wNzgxMjUgQyAyLjc2NTYyNSAt\nNi4xODc1IDIuNjg3NSAtNi4yMTg3NSAyLjUzMTI1IC02LjE4NzUgTCAxLjU5Mzc1IC02LjEwOTM3\nNSBDIDEuNDY4NzUgLTYuMTA5Mzc1IDEuMzc1IC02LjA5Mzc1IDEuMzc1IC01LjkzNzUgQyAxLjM3\nNSAtNS44MjgxMjUgMS40Njg3NSAtNS44MjgxMjUgMS42MjUgLTUuODI4MTI1IEMgMi4wMzEyNSAt\nNS44MjgxMjUgMi4wMzEyNSAtNS43NSAyLjAzMTI1IC01LjY3MTg3NSBDIDIuMDMxMjUgLTUuNjcx\nODc1IDIuMDMxMjUgLTUuNjA5Mzc1IDIgLTUuNDg0Mzc1IEwgMC43MTg3NSAtMC4zMjgxMjUgQyAw\nLjY3MTg3NSAtMC4yMDMxMjUgMC42NzE4NzUgLTAuMTg3NSAwLjY3MTg3NSAtMC4xNTYyNSBDIDAu\nNjcxODc1IC0wLjAxNTYyNSAwLjc4MTI1IDAuMDkzNzUgMC45NTMxMjUgMC4wOTM3NSBDIDEuMjE4\nNzUgMC4wOTM3NSAxLjI4MTI1IC0wLjEyNSAxLjM0Mzc1IC0wLjM5MDYyNSBDIDEuNDUzMTI1IC0w\nLjc4MTI1IDEuNDUzMTI1IC0wLjc5Njg3NSAxLjUzMTI1IC0xLjE1NjI1IEMgMS42NDA2MjUgLTEu\nNTQ2ODc1IDEuNzUgLTIuMDE1NjI1IDEuODI4MTI1IC0yLjMyODEyNSBDIDEuOTIxODc1IC0yLjY4\nNzUgMi4wOTM3NSAtMy4wMzEyNSAyLjM3NSAtMy4yOTY4NzUgQyAyLjUgLTMuNDM3NSAyLjc5Njg3\nNSAtMy43MzQzNzUgMy4yODEyNSAtMy43MzQzNzUgQyAzLjYyNSAtMy43MzQzNzUgMy43MDMxMjUg\nLTMuNDM3NSAzLjcwMzEyNSAtMy4xNDA2MjUgQyAzLjcwMzEyNSAtMi42MjUgMy4zMTI1IC0xLjU3\nODEyNSAzLjE1NjI1IC0xLjE3MTg3NSBDIDMuMDYyNSAtMC44NzUgMy4wMzEyNSAtMC44MjgxMjUg\nMy4wMzEyNSAtMC42NDA2MjUgQyAzLjAzMTI1IC0wLjE1NjI1IDMuMzc1IDAuMDkzNzUgMy43NSAw\nLjA5Mzc1IEMgNC41OTM3NSAwLjA5Mzc1IDQuOTIxODc1IC0xLjIxODc1IDQuOTIxODc1IC0xLjI4\nMTI1IEMgNC45MjE4NzUgLTEuMzkwNjI1IDQuODEyNSAtMS4zOTA2MjUgNC43NjU2MjUgLTEuMzkw\nNjI1IEMgNC42NDA2MjUgLTEuMzkwNjI1IDQuNjQwNjI1IC0xLjM1OTM3NSA0LjU3ODEyNSAtMS4x\nNzE4NzUgQyA0LjUgLTAuODQzNzUgNC4yNSAtMC4xMjUgMy43NjU2MjUgLTAuMTI1IEMgMy42ODc1\nIC0wLjEyNSAzLjU3ODEyNSAtMC4xNDA2MjUgMy41NzgxMjUgLTAuMzc1IEMgMy41NzgxMjUgLTAu\nNTkzNzUgMy42ODc1IC0wLjg3NSAzLjc1IC0xLjA3ODEyNSBDIDMuOTIxODc1IC0xLjUgNC4yODEy\nNSAtMi41IDQuMjgxMjUgLTMgQyA0LjI4MTI1IC0zLjYwOTM3NSAzLjkyMTg3NSAtMy45NTMxMjUg\nMy4yOTY4NzUgLTMuOTUzMTI1IEMgMi44MTI1IC0zLjk1MzEyNSAyLjQwNjI1IC0zLjczNDM3NSAy\nLjA5Mzc1IC0zLjM5MDYyNSBaIE0gMi43MTg3NSAtNS45MjE4NzUgIi8+CjwvZz4KPGcgaWQ9Imds\neXBoLTItNCI+CjxwYXRoIGQ9Ik0gMy41MzEyNSAtMC4zNDM3NSBDIDMuNSAtMC4yMTg3NSAzLjUg\nLTAuMjAzMTI1IDMuNSAtMC4xNTYyNSBDIDMuNSAwLjAxNTYyNSAzLjYyNSAwLjA5Mzc1IDMuNzUg\nMC4wOTM3NSBDIDQuMDQ2ODc1IDAuMDkzNzUgNC4wNzgxMjUgLTAuMDc4MTI1IDQuMjAzMTI1IC0w\nLjU3ODEyNSBDIDQuMjUgLTAuNzM0Mzc1IDQuMzc1IC0xLjIxODc1IDQuMzkwNjI1IC0xLjM0Mzc1\nIEMgNC40Njg3NSAtMS42NDA2MjUgNC42MjUgLTIuMjY1NjI1IDQuNjg3NSAtMi41IEMgNC43MTg3\nNSAtMi42MjUgNC45Njg3NSAtMy4wNzgxMjUgNS4xODc1IC0zLjI5Njg3NSBDIDUuMzEyNSAtMy40\nMzc1IDUuNjA5Mzc1IC0zLjczNDM3NSA2LjA5Mzc1IC0zLjczNDM3NSBDIDYuNDM3NSAtMy43MzQz\nNzUgNi41MTU2MjUgLTMuNDM3NSA2LjUxNTYyNSAtMy4xNDA2MjUgQyA2LjUxNTYyNSAtMi42MjUg\nNi4xMjUgLTEuNTc4MTI1IDUuOTg0Mzc1IC0xLjE3MTg3NSBDIDUuODc1IC0wLjg3NSA1Ljg1OTM3\nNSAtMC44MjgxMjUgNS44NTkzNzUgLTAuNjQwNjI1IEMgNS44NTkzNzUgLTAuMTU2MjUgNi4xODc1\nIDAuMDkzNzUgNi41NjI1IDAuMDkzNzUgQyA3LjQwNjI1IDAuMDkzNzUgNy43MzQzNzUgLTEuMjE4\nNzUgNy43MzQzNzUgLTEuMjgxMjUgQyA3LjczNDM3NSAtMS4zOTA2MjUgNy42MjUgLTEuMzkwNjI1\nIDcuNTkzNzUgLTEuMzkwNjI1IEMgNy40Njg3NSAtMS4zOTA2MjUgNy40NTMxMjUgLTEuMzU5Mzc1\nIDcuNDA2MjUgLTEuMTcxODc1IEMgNy4zMTI1IC0wLjg0Mzc1IDcuMDYyNSAtMC4xMjUgNi41Nzgx\nMjUgLTAuMTI1IEMgNi41IC0wLjEyNSA2LjM5MDYyNSAtMC4xNDA2MjUgNi4zOTA2MjUgLTAuMzc1\nIEMgNi4zOTA2MjUgLTAuNTkzNzUgNi41IC0wLjg3NSA2LjU2MjUgLTEuMDc4MTI1IEMgNi43MzQz\nNzUgLTEuNSA3LjA5Mzc1IC0yLjUgNy4wOTM3NSAtMyBDIDcuMDkzNzUgLTMuNjA5Mzc1IDYuNzM0\nMzc1IC0zLjk1MzEyNSA2LjEwOTM3NSAtMy45NTMxMjUgQyA1LjUgLTMuOTUzMTI1IDUuMDYyNSAt\nMy42MDkzNzUgNC43NSAtMy4xODc1IEMgNC42NzE4NzUgLTMuNzAzMTI1IDQuMjk2ODc1IC0zLjk1\nMzEyNSAzLjc2NTYyNSAtMy45NTMxMjUgQyAzLjI4MTI1IC0zLjk1MzEyNSAyLjgyODEyNSAtMy43\nMzQzNzUgMi40NTMxMjUgLTMuMjY1NjI1IEMgMi4zNzUgLTMuNzM0Mzc1IDIuMDMxMjUgLTMuOTUz\nMTI1IDEuNjcxODc1IC0zLjk1MzEyNSBDIDEuMzc1IC0zLjk1MzEyNSAxLjE1NjI1IC0zLjc2NTYy\nNSAwLjk4NDM3NSAtMy40Mzc1IEMgMC44NDM3NSAtMy4xMjUgMC43MTg3NSAtMi42MjUgMC43MTg3\nNSAtMi41NzgxMjUgQyAwLjcxODc1IC0yLjQ2ODc1IDAuODI4MTI1IC0yLjQ2ODc1IDAuODc1IC0y\nLjQ2ODc1IEMgMS4wMTU2MjUgLTIuNDY4NzUgMS4wMTU2MjUgLTIuNSAxLjA0Njg3NSAtMi42ODc1\nIEMgMS4yMzQzNzUgLTMuMzkwNjI1IDEuNDA2MjUgLTMuNzM0Mzc1IDEuNjU2MjUgLTMuNzM0Mzc1\nIEMgMS43OTY4NzUgLTMuNzM0Mzc1IDEuODkwNjI1IC0zLjY0MDYyNSAxLjg5MDYyNSAtMy4zNzUg\nQyAxLjg5MDYyNSAtMy4xODc1IDEuODI4MTI1IC0yLjk1MzEyNSAxLjgyODEyNSAtMi45MDYyNSBM\nIDEuMTg3NSAtMC4zNDM3NSBDIDEuMTQwNjI1IC0wLjIxODc1IDEuMTQwNjI1IC0wLjIwMzEyNSAx\nLjE0MDYyNSAtMC4xNTYyNSBDIDEuMTQwNjI1IDAuMDE1NjI1IDEuMjY1NjI1IDAuMDkzNzUgMS40\nMDYyNSAwLjA5Mzc1IEMgMS42ODc1IDAuMDkzNzUgMS43MzQzNzUgLTAuMDc4MTI1IDEuODQzNzUg\nLTAuNTc4MTI1IEMgMS44OTA2MjUgLTAuNzM0Mzc1IDIuMDE1NjI1IC0xLjIxODc1IDIuMDQ2ODc1\nIC0xLjM0Mzc1IEMgMi4xMjUgLTEuNjQwNjI1IDIuMjgxMjUgLTIuMjY1NjI1IDIuMzI4MTI1IC0y\nLjUgQyAyLjM0Mzc1IC0yLjU2MjUgMi41NzgxMjUgLTMuMDYyNSAyLjkyMTg3NSAtMy4zOTA2MjUg\nQyAzLjE3MTg3NSAtMy42MjUgMy40ODQzNzUgLTMuNzM0Mzc1IDMuNzUgLTMuNzM0Mzc1IEMgNC4w\nMTU2MjUgLTMuNzM0Mzc1IDQuMTcxODc1IC0zLjU0Njg3NSA0LjE3MTg3NSAtMy4xNDA2MjUgQyA0\nLjE3MTg3NSAtMi45Njg3NSA0LjEyNSAtMi43MDMxMjUgNC4wOTM3NSAtMi41OTM3NSBaIE0gMy41\nMzEyNSAtMC4zNDM3NSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMi01Ij4KPHBhdGggZD0iTSAyLjA3\nODEyNSAtMi4wNDY4NzUgQyAyLjc1IC0yLjA0Njg3NSAzLjIwMzEyNSAtMi4xMjUgMy41MzEyNSAt\nMi4yNSBDIDQuMTU2MjUgLTIuNSA0LjIzNDM3NSAtMyA0LjIzNDM3NSAtMy4xODc1IEMgNC4yMzQz\nNzUgLTMuNTc4MTI1IDMuODkwNjI1IC0zLjk1MzEyNSAzLjI4MTI1IC0zLjk1MzEyNSBDIDIuMzc1\nIC0zLjk1MzEyNSAxLjAzMTI1IC0zLjEwOTM3NSAxLjAzMTI1IC0xLjUgQyAxLjAzMTI1IC0wLjQ4\nNDM3NSAxLjU5Mzc1IDAuMDkzNzUgMi4zNTkzNzUgMC4wOTM3NSBDIDMuMTg3NSAwLjA5Mzc1IDMu\nOTY4NzUgLTAuMzQzNzUgNC4zMTI1IC0wLjkwNjI1IEMgNC4yNjU2MjUgLTEuMDE1NjI1IDQuMTg3\nNSAtMS4wNzgxMjUgNC4xNDA2MjUgLTEuMDc4MTI1IEMgNC4wOTM3NSAtMS4wNzgxMjUgNC4wNzgx\nMjUgLTEuMDQ2ODc1IDQuMDE1NjI1IC0wLjk2ODc1IEMgMy41IC0wLjMyODEyNSAyLjc4MTI1IC0w\nLjEyNSAyLjM3NSAtMC4xMjUgQyAxLjc2NTYyNSAtMC4xMjUgMS42NzE4NzUgLTAuNzk2ODc1IDEu\nNjcxODc1IC0xLjEyNSBDIDEuNjcxODc1IC0xLjE4NzUgMS42NzE4NzUgLTEuNDY4NzUgMS44MTI1\nIC0yLjA0Njg3NSBaIE0gMS44NzUgLTIuMjY1NjI1IEMgMi4yODEyNSAtMy43MDMxMjUgMy4xNTYy\nNSAtMy43MzQzNzUgMy4yODEyNSAtMy43MzQzNzUgQyAzLjY4NzUgLTMuNzM0Mzc1IDMuODc1IC0z\nLjQ1MzEyNSAzLjg3NSAtMy4xODc1IEMgMy44NzUgLTIuMjY1NjI1IDIuNDUzMTI1IC0yLjI2NTYy\nNSAxLjg3NSAtMi4yNjU2MjUgWiBNIDEuODc1IC0yLjI2NTYyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5\ncGgtMi02Ij4KPHBhdGggZD0iTSAxLjE4NzUgLTAuMzQzNzUgQyAxLjE0MDYyNSAtMC4yMTg3NSAx\nLjE0MDYyNSAtMC4yMDMxMjUgMS4xNDA2MjUgLTAuMTU2MjUgQyAxLjE0MDYyNSAwLjAxNTYyNSAx\nLjI2NTYyNSAwLjA5Mzc1IDEuNDA2MjUgMC4wOTM3NSBDIDEuNjg3NSAwLjA5Mzc1IDEuNzM0Mzc1\nIC0wLjA3ODEyNSAxLjg0Mzc1IC0wLjU3ODEyNSBDIDEuODkwNjI1IC0wLjczNDM3NSAyLjAxNTYy\nNSAtMS4yMTg3NSAyLjA0Njg3NSAtMS4zNDM3NSBDIDIuMTI1IC0xLjY0MDYyNSAyLjI4MTI1IC0y\nLjI2NTYyNSAyLjMyODEyNSAtMi41IEMgMi4zNzUgLTIuNjI1IDIuNjI1IC0zLjA3ODEyNSAyLjgy\nODEyNSAtMy4yOTY4NzUgQyAyLjk2ODc1IC0zLjQzNzUgMy4yNjU2MjUgLTMuNzM0Mzc1IDMuNzUg\nLTMuNzM0Mzc1IEMgNC4wNzgxMjUgLTMuNzM0Mzc1IDQuMTcxODc1IC0zLjQzNzUgNC4xNzE4NzUg\nLTMuMTQwNjI1IEMgNC4xNzE4NzUgLTIuNjI1IDMuNzgxMjUgLTEuNTc4MTI1IDMuNjI1IC0xLjE3\nMTg3NSBDIDMuNTE1NjI1IC0wLjg3NSAzLjUgLTAuODI4MTI1IDMuNSAtMC42NDA2MjUgQyAzLjUg\nLTAuMTU2MjUgMy44NDM3NSAwLjA5Mzc1IDQuMjAzMTI1IDAuMDkzNzUgQyA1LjA2MjUgMC4wOTM3\nNSA1LjM5MDYyNSAtMS4yMTg3NSA1LjM5MDYyNSAtMS4yODEyNSBDIDUuMzkwNjI1IC0xLjM5MDYy\nNSA1LjI2NTYyNSAtMS4zOTA2MjUgNS4yMzQzNzUgLTEuMzkwNjI1IEMgNS4xMDkzNzUgLTEuMzkw\nNjI1IDUuMTA5Mzc1IC0xLjM1OTM3NSA1LjA0Njg3NSAtMS4xNzE4NzUgQyA0Ljk1MzEyNSAtMC44\nNDM3NSA0LjcwMzEyNSAtMC4xMjUgNC4yMzQzNzUgLTAuMTI1IEMgNC4xNTYyNSAtMC4xMjUgNC4w\nNDY4NzUgLTAuMTQwNjI1IDQuMDQ2ODc1IC0wLjM3NSBDIDQuMDQ2ODc1IC0wLjU5Mzc1IDQuMTQw\nNjI1IC0wLjg3NSA0LjIxODc1IC0xLjA3ODEyNSBDIDQuMzc1IC0xLjUgNC43NSAtMi41IDQuNzUg\nLTMgQyA0Ljc1IC0zLjYwOTM3NSA0LjM5MDYyNSAtMy45NTMxMjUgMy43NjU2MjUgLTMuOTUzMTI1\nIEMgMy4xMjUgLTMuOTUzMTI1IDIuNjg3NSAtMy41NjI1IDIuNDUzMTI1IC0zLjI2NTYyNSBDIDIu\nMzc1IC0zLjcxODc1IDIuMDQ2ODc1IC0zLjk1MzEyNSAxLjY3MTg3NSAtMy45NTMxMjUgQyAxLjM3\nNSAtMy45NTMxMjUgMS4xNTYyNSAtMy43NjU2MjUgMC45ODQzNzUgLTMuNDM3NSBDIDAuODQzNzUg\nLTMuMTI1IDAuNzE4NzUgLTIuNjI1IDAuNzE4NzUgLTIuNTc4MTI1IEMgMC43MTg3NSAtMi40Njg3\nNSAwLjgyODEyNSAtMi40Njg3NSAwLjg3NSAtMi40Njg3NSBDIDEuMDE1NjI1IC0yLjQ2ODc1IDEu\nMDE1NjI1IC0yLjUgMS4wNDY4NzUgLTIuNjg3NSBDIDEuMjM0Mzc1IC0zLjM5MDYyNSAxLjQwNjI1\nIC0zLjczNDM3NSAxLjY1NjI1IC0zLjczNDM3NSBDIDEuNzk2ODc1IC0zLjczNDM3NSAxLjg5MDYy\nNSAtMy42NDA2MjUgMS44OTA2MjUgLTMuMzc1IEMgMS44OTA2MjUgLTMuMTg3NSAxLjgyODEyNSAt\nMi45NTMxMjUgMS44MjgxMjUgLTIuOTA2MjUgWiBNIDEuMTg3NSAtMC4zNDM3NSAiLz4KPC9nPgo8\nZyBpZD0iZ2x5cGgtMi03Ij4KPHBhdGggZD0iTSAyLjcxODc1IC01LjkyMTg3NSBDIDIuNzUgLTYu\nMDMxMjUgMi43NjU2MjUgLTYuMDQ2ODc1IDIuNzY1NjI1IC02LjA3ODEyNSBDIDIuNzY1NjI1IC02\nLjE4NzUgMi42ODc1IC02LjIxODc1IDIuNTMxMjUgLTYuMTg3NSBMIDEuNTkzNzUgLTYuMTA5Mzc1\nIEMgMS40Njg3NSAtNi4xMDkzNzUgMS4zNzUgLTYuMDkzNzUgMS4zNzUgLTUuOTM3NSBDIDEuMzc1\nIC01LjgyODEyNSAxLjQ2ODc1IC01LjgyODEyNSAxLjYyNSAtNS44MjgxMjUgQyAyLjAzMTI1IC01\nLjgyODEyNSAyLjAzMTI1IC01Ljc1IDIuMDMxMjUgLTUuNjcxODc1IEMgMi4wMzEyNSAtNS42NzE4\nNzUgMi4wMzEyNSAtNS42MDkzNzUgMiAtNS40ODQzNzUgTCAwLjg5MDYyNSAtMS4wMTU2MjUgQyAw\nLjg5MDYyNSAtMS4wMTU2MjUgMC44NDM3NSAtMC44NDM3NSAwLjg0Mzc1IC0wLjcxODc1IEMgMC44\nNDM3NSAtMC4yODEyNSAxLjE0MDYyNSAwLjA5Mzc1IDEuNjQwNjI1IDAuMDkzNzUgQyAyLjAzMTI1\nIDAuMDkzNzUgMi4yMTg3NSAtMC4yMzQzNzUgMi4yOTY4NzUgLTAuNDA2MjUgQyAyLjQ1MzEyNSAt\nMC43MTg3NSAyLjU3ODEyNSAtMS4yNSAyLjU3ODEyNSAtMS4yODEyNSBDIDIuNTc4MTI1IC0xLjM5\nMDYyNSAyLjQ1MzEyNSAtMS4zOTA2MjUgMi40MjE4NzUgLTEuMzkwNjI1IEMgMi4yODEyNSAtMS4z\nOTA2MjUgMi4yODEyNSAtMS4zNDM3NSAyLjI1IC0xLjE4NzUgQyAyLjAzMTI1IC0wLjM1OTM3NSAx\nLjg3NSAtMC4xMjUgMS42NDA2MjUgLTAuMTI1IEMgMS40Njg3NSAtMC4xMjUgMS40MDYyNSAtMC4y\nNjU2MjUgMS40MDYyNSAtMC40ODQzNzUgQyAxLjQwNjI1IC0wLjU3ODEyNSAxLjQzNzUgLTAuNzY1\nNjI1IDEuNDg0Mzc1IC0wLjk1MzEyNSBaIE0gMi43MTg3NSAtNS45MjE4NzUgIi8+CjwvZz4KPGcg\naWQ9ImdseXBoLTItOCI+CjxwYXRoIGQ9Ik0gNC42NTYyNSAtMi40NTMxMjUgQyA0LjY1NjI1IC0z\nLjMxMjUgNC4xMjUgLTMuOTUzMTI1IDMuMjk2ODc1IC0zLjk1MzEyNSBDIDIuMTU2MjUgLTMuOTUz\nMTI1IDAuOTg0Mzc1IC0yLjY4NzUgMC45ODQzNzUgLTEuMzkwNjI1IEMgMC45ODQzNzUgLTAuNTQ2\nODc1IDEuNTE1NjI1IDAuMDkzNzUgMi4zNDM3NSAwLjA5Mzc1IEMgMy41MTU2MjUgMC4wOTM3NSA0\nLjY1NjI1IC0xLjIwMzEyNSA0LjY1NjI1IC0yLjQ1MzEyNSBaIE0gMi4zNDM3NSAtMC4xMjUgQyAy\nLjAzMTI1IC0wLjEyNSAxLjY0MDYyNSAtMC4zNDM3NSAxLjY0MDYyNSAtMS4wNjI1IEMgMS42NDA2\nMjUgLTEuNDA2MjUgMS44MjgxMjUgLTIuMzQzNzUgMi4xNzE4NzUgLTIuOTM3NSBDIDIuNDY4NzUg\nLTMuNDM3NSAyLjkyMTg3NSAtMy43MzQzNzUgMy4yOTY4NzUgLTMuNzM0Mzc1IEMgMy42ODc1IC0z\nLjczNDM3NSA0IC0zLjQwNjI1IDQgLTIuNzk2ODc1IEMgNCAtMi40ODQzNzUgMy44MjgxMjUgLTEu\nNDY4NzUgMy40Mzc1IC0wLjg0Mzc1IEMgMy4xNDA2MjUgLTAuNDA2MjUgMi43MTg3NSAtMC4xMjUg\nMi4zNDM3NSAtMC4xMjUgWiBNIDIuMzQzNzUgLTAuMTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0y\nLTkiPgo8cGF0aCBkPSJNIDUuMDYyNSAtNS45MjE4NzUgQyA1LjA5Mzc1IC02LjAzMTI1IDUuMTA5\nMzc1IC02LjA0Njg3NSA1LjEwOTM3NSAtNi4wNzgxMjUgQyA1LjEwOTM3NSAtNi4xODc1IDUuMDE1\nNjI1IC02LjIxODc1IDQuODc1IC02LjE4NzUgTCAzLjkzNzUgLTYuMTA5Mzc1IEMgMy44MTI1IC02\nLjEwOTM3NSAzLjcxODc1IC02LjA5Mzc1IDMuNzE4NzUgLTUuOTM3NSBDIDMuNzE4NzUgLTUuODI4\nMTI1IDMuODEyNSAtNS44MjgxMjUgMy45NTMxMjUgLTUuODI4MTI1IEMgNC4zNzUgLTUuODI4MTI1\nIDQuMzc1IC01Ljc1IDQuMzc1IC01LjY3MTg3NSBDIDQuMzc1IC01LjYyNSA0LjM3NSAtNS42MDkz\nNzUgNC4zNDM3NSAtNS40ODQzNzUgTCAzLjgyODEyNSAtMy40NTMxMjUgQyAzLjc1IC0zLjYyNSAz\nLjUxNTYyNSAtMy45NTMxMjUgMy4wNjI1IC0zLjk1MzEyNSBDIDIuMDYyNSAtMy45NTMxMjUgMC45\nODQzNzUgLTIuNjU2MjUgMC45ODQzNzUgLTEuMzEyNSBDIDAuOTg0Mzc1IC0wLjM5MDYyNSAxLjUx\nNTYyNSAwLjA5Mzc1IDIuMDkzNzUgMC4wOTM3NSBDIDIuNjQwNjI1IDAuMDkzNzUgMy4wMzEyNSAt\nMC4zMjgxMjUgMy4yMDMxMjUgLTAuNTE1NjI1IEMgMy4yOTY4NzUgLTAuMTI1IDMuNjA5Mzc1IDAu\nMDkzNzUgMy45ODQzNzUgMC4wOTM3NSBDIDQuMzkwNjI1IDAuMDkzNzUgNC41NzgxMjUgLTAuMjY1\nNjI1IDQuNjQwNjI1IC0wLjQwNjI1IEMgNC44MTI1IC0wLjczNDM3NSA0LjkyMTg3NSAtMS4yNSA0\nLjkyMTg3NSAtMS4yODEyNSBDIDQuOTIxODc1IC0xLjM5MDYyNSA0LjgxMjUgLTEuMzkwNjI1IDQu\nNzY1NjI1IC0xLjM5MDYyNSBDIDQuNjQwNjI1IC0xLjM5MDYyNSA0LjYyNSAtMS4zNDM3NSA0LjU5\nMzc1IC0xLjE4NzUgQyA0LjQzNzUgLTAuNTkzNzUgNC4yODEyNSAtMC4xMjUgMy45ODQzNzUgLTAu\nMTI1IEMgMy44MTI1IC0wLjEyNSAzLjc1IC0wLjI2NTYyNSAzLjc1IC0wLjQ4NDM3NSBDIDMuNzUg\nLTAuNTc4MTI1IDMuNzgxMjUgLTAuNzY1NjI1IDMuODI4MTI1IC0wLjk1MzEyNSBaIE0gMy4yNSAt\nMS4xMjUgQyAzLjE3MTg3NSAtMC44MTI1IDIuNjA5Mzc1IC0wLjEyNSAyLjEyNSAtMC4xMjUgQyAx\nLjY0MDYyNSAtMC4xMjUgMS42MDkzNzUgLTAuNzgxMjUgMS42MDkzNzUgLTAuOTIxODc1IEMgMS42\nMDkzNzUgLTEuMzc1IDEuODc1IC0yLjM1OTM3NSAyLjAxNTYyNSAtMi43MDMxMjUgQyAyLjI1IC0z\nLjI2NTYyNSAyLjY3MTg3NSAtMy43MzQzNzUgMy4wNjI1IC0zLjczNDM3NSBDIDMuNjA5Mzc1IC0z\nLjczNDM3NSAzLjY4NzUgLTIuOTY4NzUgMy42ODc1IC0yLjkwNjI1IEMgMy42ODc1IC0yLjg3NSAz\nLjY4NzUgLTIuODU5Mzc1IDMuNjcxODc1IC0yLjc2NTYyNSBaIE0gMy4yNSAtMS4xMjUgIi8+Cjwv\nZz4KPGcgaWQ9ImdseXBoLTItMTAiPgo8cGF0aCBkPSJNIDIuOTM3NSAtNS41NjI1IEMgMi45Mzc1\nIC01LjcxODc1IDIuODI4MTI1IC01Ljg1OTM3NSAyLjY0MDYyNSAtNS44NTkzNzUgQyAyLjQzNzUg\nLTUuODU5Mzc1IDIuMjE4NzUgLTUuNjcxODc1IDIuMjE4NzUgLTUuNDUzMTI1IEMgMi4yMTg3NSAt\nNS4yMDMxMjUgMi40MjE4NzUgLTUuMTQwNjI1IDIuNTE1NjI1IC01LjE0MDYyNSBDIDIuNzUgLTUu\nMTQwNjI1IDIuOTM3NSAtNS4zNTkzNzUgMi45Mzc1IC01LjU2MjUgWiBNIDMuMDQ2ODc1IC0xLjI4\nMTI1IEMgMy4wNDY4NzUgLTEuMzkwNjI1IDIuOTM3NSAtMS4zOTA2MjUgMi44OTA2MjUgLTEuMzkw\nNjI1IEMgMi43NjU2MjUgLTEuMzkwNjI1IDIuNzY1NjI1IC0xLjM1OTM3NSAyLjcwMzEyNSAtMS4x\nNzE4NzUgQyAyLjYyNSAtMC44NDM3NSAyLjM3NSAtMC4xMjUgMS44OTA2MjUgLTAuMTI1IEMgMS44\nMTI1IC0wLjEyNSAxLjcwMzEyNSAtMC4xNDA2MjUgMS43MDMxMjUgLTAuMzc1IEMgMS43MDMxMjUg\nLTAuNTMxMjUgMS43NSAtMC43MzQzNzUgMS44NDM3NSAtMS4wMTU2MjUgQyAxLjk2ODc1IC0xLjM0\nMzc1IDEuOTY4NzUgLTEuMzU5Mzc1IDIuMTI1IC0xLjczNDM3NSBMIDIuNDM3NSAtMi41NzgxMjUg\nQyAyLjUxNTYyNSAtMi43ODEyNSAyLjYwOTM3NSAtMy4wNDY4NzUgMi42MDkzNzUgLTMuMjE4NzUg\nQyAyLjYwOTM3NSAtMy42NTYyNSAyLjMxMjUgLTMuOTUzMTI1IDEuOTA2MjUgLTMuOTUzMTI1IEMg\nMS4wNDY4NzUgLTMuOTUzMTI1IDAuNzE4NzUgLTIuNjU2MjUgMC43MTg3NSAtMi41NzgxMjUgQyAw\nLjcxODc1IC0yLjQ2ODc1IDAuODI4MTI1IC0yLjQ2ODc1IDAuODc1IC0yLjQ2ODc1IEMgMSAtMi40\nNjg3NSAxLjAxNTYyNSAtMi41MTU2MjUgMS4wNDY4NzUgLTIuNjI1IEMgMS4xMDkzNzUgLTIuODQz\nNzUgMS4zNDM3NSAtMy43MzQzNzUgMS44NzUgLTMuNzM0Mzc1IEMgMS45Njg3NSAtMy43MzQzNzUg\nMi4wNjI1IC0zLjcwMzEyNSAyLjA2MjUgLTMuNDg0Mzc1IEMgMi4wNjI1IC0zLjI2NTYyNSAyIC0z\nLjA3ODEyNSAxLjg0Mzc1IC0yLjY1NjI1IEwgMS41MzEyNSAtMS44MjgxMjUgQyAxLjQ4NDM3NSAt\nMS42NzE4NzUgMS4zNDM3NSAtMS4yOTY4NzUgMS4zMTI1IC0xLjIxODc1IEMgMS4yNSAtMS4wMzEy\nNSAxLjE1NjI1IC0wLjgxMjUgMS4xNTYyNSAtMC42NDA2MjUgQyAxLjE1NjI1IC0wLjE1NjI1IDEu\nNSAwLjA5Mzc1IDEuODc1IDAuMDkzNzUgQyAyLjcxODc1IDAuMDkzNzUgMy4wNDY4NzUgLTEuMjE4\nNzUgMy4wNDY4NzUgLTEuMjgxMjUgWiBNIDMuMDQ2ODc1IC0xLjI4MTI1ICIvPgo8L2c+CjxnIGlk\nPSJnbHlwaC0yLTExIj4KPHBhdGggZD0iTSA0LjQyMTg3NSAtMy4zNDM3NSBDIDQuNDUzMTI1IC0z\nLjQ2ODc1IDQuNDUzMTI1IC0zLjQ4NDM3NSA0LjQ1MzEyNSAtMy41MTU2MjUgQyA0LjQ1MzEyNSAt\nMy42NzE4NzUgNC4zMjgxMjUgLTMuNzY1NjI1IDQuMTg3NSAtMy43NjU2MjUgQyA0LjAxNTYyNSAt\nMy43NjU2MjUgMy44NzUgLTMuNjQwNjI1IDMuODI4MTI1IC0zLjQ2ODc1IEMgMy43MTg3NSAtMy42\nNzE4NzUgMy40ODQzNzUgLTMuOTUzMTI1IDMuMDYyNSAtMy45NTMxMjUgQyAyLjA5Mzc1IC0zLjk1\nMzEyNSAxIC0yLjcxODc1IDEgLTEuMzkwNjI1IEMgMSAtMC40MjE4NzUgMS41NzgxMjUgMCAyLjEy\nNSAwIEMgMi40Njg3NSAwIDIuODEyNSAtMC4yMDMxMjUgMy4wNzgxMjUgLTAuNDUzMTI1IEwgMi44\nOTA2MjUgMC4yOTY4NzUgQyAyLjc4MTI1IDAuNzM0Mzc1IDIuNzM0Mzc1IDAuOTIxODc1IDIuNDUz\nMTI1IDEuMjE4NzUgQyAyLjIwMzEyNSAxLjUxNTYyNSAxLjkyMTg3NSAxLjYwOTM3NSAxLjYwOTM3\nNSAxLjYwOTM3NSBDIDEuMzI4MTI1IDEuNjA5Mzc1IDEuMDkzNzUgMS41NjI1IDAuOTg0Mzc1IDEu\nNTMxMjUgQyAxLjAxNTYyNSAxLjUxNTYyNSAxLjIzNDM3NSAxLjM5MDYyNSAxLjIzNDM3NSAxLjE0\nMDYyNSBDIDEuMjM0Mzc1IDAuOTUzMTI1IDEuMDkzNzUgMC44NDM3NSAwLjkyMTg3NSAwLjg0Mzc1\nIEMgMC43NjU2MjUgMC44NDM3NSAwLjUgMC45Njg3NSAwLjUgMS4zMTI1IEMgMC41IDEuNjg3NSAw\nLjg3NSAxLjgyODEyNSAxLjU5Mzc1IDEuODI4MTI1IEMgMi42MjUgMS44MjgxMjUgMy4yODEyNSAx\nLjIwMzEyNSAzLjQzNzUgMC41OTM3NSBaIE0gMy4yNjU2MjUgLTEuMTg3NSBDIDMuMTg3NSAtMC44\nOTA2MjUgMi42MjUgLTAuMjE4NzUgMi4xNDA2MjUgLTAuMjE4NzUgQyAxLjY1NjI1IC0wLjIxODc1\nIDEuNjI1IC0wLjg3NSAxLjYyNSAtMS4wMTU2MjUgQyAxLjYyNSAtMS40Mzc1IDEuODkwNjI1IC0y\nLjQyMTg3NSAyLjAzMTI1IC0yLjc2NTYyNSBDIDIuMzEyNSAtMy4zNzUgMi43MTg3NSAtMy43MzQz\nNzUgMy4wNjI1IC0zLjczNDM3NSBDIDMuNjI1IC0zLjczNDM3NSAzLjY4NzUgLTIuOTY4NzUgMy42\nODc1IC0yLjkzNzUgQyAzLjY4NzUgLTIuOTA2MjUgMy42ODc1IC0yLjg3NSAzLjY3MTg3NSAtMi44\nMTI1IFogTSAzLjI2NTYyNSAtMS4xODc1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0zLTAiPgo8cGF0\naCBkPSJNIDYuMDMxMjUgLTIuMDQ2ODc1IEMgNi4xODc1IC0yLjA0Njg3NSA2LjM1OTM3NSAtMi4w\nNDY4NzUgNi4zNTkzNzUgLTIuMjUgQyA2LjM1OTM3NSAtMi40Mzc1IDYuMTg3NSAtMi40Mzc1IDYu\nMDMxMjUgLTIuNDM3NSBMIDEuMDkzNzUgLTIuNDM3NSBDIDAuOTUzMTI1IC0yLjQzNzUgMC43NjU2\nMjUgLTIuNDM3NSAwLjc2NTYyNSAtMi4yNSBDIDAuNzY1NjI1IC0yLjA0Njg3NSAwLjkzNzUgLTIu\nMDQ2ODc1IDEuMDkzNzUgLTIuMDQ2ODc1IFogTSA2LjAzMTI1IC0yLjA0Njg3NSAiLz4KPC9nPgo8\nL2c+CjwvZGVmcz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoOTQuOTk5Njk1\nJSwgOTQuOTk5Njk1JSwgMTAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdpZHRoPSIwLjM5\nODUiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9\nInJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIx\nMCIgZD0iTSA0My4wOTM5NDEgOTMuMTMzNDc0IEwgLTQzLjA5NzEwNSA5My4xMzM0NzQgQyAtNDQu\nNzQ2MjYzIDkzLjEzMzQ3NCAtNDYuMDg1OTYgOTEuNzk3Njk1IC00Ni4wODU5NiA5MC4xNDQ2MTkg\nTCAtNDYuMDg1OTYgNzkuOTM2MjkgQyAtNDYuMDg1OTYgNzguMjgzMjE0IC00NC43NDYyNjMgNzYu\nOTQ3NDM1IC00My4wOTcxMDUgNzYuOTQ3NDM1IEwgNDMuMDkzOTQxIDc2Ljk0NzQzNSBDIDQ0Ljc0\nNzAxNyA3Ni45NDc0MzUgNDYuMDgyNzk2IDc4LjI4MzIxNCA0Ni4wODI3OTYgNzkuOTM2MjkgTCA0\nNi4wODI3OTYgOTAuMTQ0NjE5IEMgNDYuMDgyNzk2IDkxLjc5NzY5NSA0NC43NDcwMTcgOTMuMTMz\nNDc0IDQzLjA5Mzk0MSA5My4xMzM0NzQgWiBNIDQzLjA5Mzk0MSA5My4xMzM0NzQgIiB0cmFuc2Zv\ncm09Im1hdHJpeCgwLjk5NzE5NCwgMCwgMCwgLTAuOTk3MTk0LCAxODQuNTg1NTYyLCAxNTYuNTY3\nNDgpIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4\nbGluazpocmVmPSIjZ2x5cGgtMC0wIiB4PSIxNTEuNTgxNDIzIiB5PSI3NC44NzEzNDEiLz4KPC9n\nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6\naHJlZj0iI2dseXBoLTAtMSIgeD0iMTYwLjI1NjIxNiIgeT0iNzQuODcxMzQxIi8+Cjx1c2UgeGxp\nbms6aHJlZj0iI2dseXBoLTAtMiIgeD0iMTY0Ljg1MTEyMSIgeT0iNzQuODcxMzQxIi8+Cjx1c2Ug\neGxpbms6aHJlZj0iI2dseXBoLTAtMyIgeD0iMTY4LjQyNDkzNiIgeT0iNzQuODcxMzQxIi8+Cjx1\nc2UgeGxpbms6aHJlZj0iI2dseXBoLTAtNCIgeD0iMTcyLjUxMjg3MiIgeT0iNzQuODcxMzQxIi8+\nCjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhs\naW5rOmhyZWY9IiNnbHlwaC0wLTUiIHg9IjE3OS4xNzQwOTgiIHk9Ijc0Ljg3MTM0MSIvPgo8dXNl\nIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTYiIHg9IjE4My4yNTg0NTgiIHk9Ijc0Ljg3MTM0MSIvPgo8\ndXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTciIHg9IjE4Ny44NTMzNjIiIHk9Ijc0Ljg3MTM0MSIv\nPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTgiIHg9IjE5MC40MDYwODciIHk9Ijc0Ljg3MTM0\nMSIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTkiIHg9IjE5NS41MTE1MzciIHk9Ijc0Ljg3\nMTM0MSIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEwIiB4PSIyMDMuMTY5NzExIiB5PSI3\nNC44NzEzNDEiLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0i\nMSI+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTEiIHg9IjIxMS4zMzMwNjYiIHk9Ijc0Ljg3\nMTM0MSIvPgo8L2c+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDk0Ljk5OTY5\nNSUsIDk0Ljk5OTY5NSUsIDEwMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC4z\nOTg1IiBzdHJva2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIgc3Ryb2tl\nPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJsaW1pdD0i\nMTAiIGQ9Ik0gMTk5LjAwNDAzNyA5NC4wMDcwMTggTCAxMTIuODEyOTkgOTQuMDA3MDE4IEMgMTEx\nLjE1OTkxNSA5NC4wMDcwMTggMTA5LjgyNDEzNiA5Mi42NjczMjIgMTA5LjgyNDEzNiA5MS4wMTgx\nNjQgTCAxMDkuODI0MTM2IDc5LjA2Mjc0NSBDIDEwOS44MjQxMzYgNzcuNDEzNTg3IDExMS4xNTk5\nMTUgNzYuMDczODkxIDExMi44MTI5OSA3Ni4wNzM4OTEgTCAxOTkuMDA0MDM3IDc2LjA3Mzg5MSBD\nIDIwMC42NTMxOTUgNzYuMDczODkxIDIwMS45OTI4OTEgNzcuNDEzNTg3IDIwMS45OTI4OTEgNzku\nMDYyNzQ1IEwgMjAxLjk5Mjg5MSA5MS4wMTgxNjQgQyAyMDEuOTkyODkxIDkyLjY2NzMyMiAyMDAu\nNjUzMTk1IDk0LjAwNzAxOCAxOTkuMDA0MDM3IDk0LjAwNzAxOCBaIE0gMTk5LjAwNDAzNyA5NC4w\nMDcwMTggIiB0cmFuc2Zvcm09Im1hdHJpeCgwLjk5NzE5NCwgMCwgMCwgLTAuOTk3MTk0LCAxODQu\nNTg1NTYyLCAxNTYuNTY3NDgpIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFj\naXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xMiIgeD0iMzEyLjA1MTkyMSIgeT0i\nNzQuMDAxNzg4Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtNyIgeD0iMzE4Ljk0MjkzNyIg\neT0iNzQuMDAxNzg4Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTMiIHg9IjMyMS40OTU2\nNjIiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEiIHg9IjMyNi4w\nOTA1NjciIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTciIHg9IjMz\nMC42ODU0NzIiIHk9Ijc0LjAwMTc4OCIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIg\nZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNCIgeD0iMzM2LjI5\nNjEwMSIgeT0iNzQuMDAxNzg4Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTUiIHg9IjM0\nMS40MDE1NTEiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTYiIHg9\nIjM0My45NTQyNzYiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTki\nIHg9IjM0OC41NDkxODEiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0w\nLTEiIHg9IjM1Ni4yMDczNTUiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlw\naC0wLTE2IiB4PSIzNjAuODAyMjYiIHk9Ijc0LjAwMTc4OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNn\nbHlwaC0wLTE2IiB4PSIzNjQuNDI3MDQiIHk9Ijc0LjAwMTc4OCIvPgo8L2c+CjxwYXRoIGZpbGwt\ncnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDk0Ljk5OTY5NSUsIDk0Ljk5OTY5NSUsIDEwMCUpIiBm\naWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC4zOTg1IiBzdHJva2UtbGluZWNhcD0iYnV0\ndCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9r\nZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0gMTk5LjAwNDAzNyA4LjU5\nMTU4NiBMIDExMi44MTI5OSA4LjU5MTU4NiBDIDExMS4xNTk5MTUgOC41OTE1ODYgMTA5LjgyNDEz\nNiA3LjI1NTgwNyAxMDkuODI0MTM2IDUuNjAyNzMxIEwgMTA5LjgyNDEzNiAtNS42MDQ0OTQgQyAx\nMDkuODI0MTM2IC03LjI1MzY1MyAxMTEuMTU5OTE1IC04LjU5MzM0OSAxMTIuODEyOTkgLTguNTkz\nMzQ5IEwgMTk5LjAwNDAzNyAtOC41OTMzNDkgQyAyMDAuNjUzMTk1IC04LjU5MzM0OSAyMDEuOTky\nODkxIC03LjI1MzY1MyAyMDEuOTkyODkxIC01LjYwNDQ5NCBMIDIwMS45OTI4OTEgNS42MDI3MzEg\nQyAyMDEuOTkyODkxIDcuMjU1ODA3IDIwMC42NTMxOTUgOC41OTE1ODYgMTk5LjAwNDAzNyA4LjU5\nMTU4NiBaIE0gMTk5LjAwNDAzNyA4LjU5MTU4NiAiIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk3MTk0\nLCAwLCAwLCAtMC45OTcxOTQsIDE4NC41ODU1NjIsIDE1Ni41Njc0OCkiLz4KPGcgZmlsbD0icmdi\nKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0w\nLTE3IiB4PSIzMDkuNzQ4NDAzIiB5PSIxNTkuMTc1MTQzIi8+CjwvZz4KPGcgZmlsbD0icmdiKDAl\nLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0xLTAi\nIHg9IjMxNi44OTUyOTQiIHk9IjE2MC4xNjgzNDkiLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAl\nLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTUiIHg9\nIjMyNC4wOTgwMjgiIHk9IjE1OS4xNzUxNDMiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0x\nMCIgeD0iMzI2LjY1MDc1MyIgeT0iMTU5LjE3NTE0MyIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwg\nMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNiIg\neD0iMzM0LjgyMzA0OSIgeT0iMTU5LjE3NTE0MyIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0w\nLTMiIHg9IjMzOC40NDc4MjkiIHk9IjE1OS4xNzUxNDMiLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUs\nIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTgi\nIHg9IjM0Mi41MjY4MjQiIHk9IjE1OS4xNzUxNDMiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgt\nMC0xNSIgeD0iMzQ3LjYzMjI3NCIgeT0iMTU5LjE3NTE0MyIvPgo8dXNlIHhsaW5rOmhyZWY9IiNn\nbHlwaC0wLTkiIHg9IjM1MC4xODQ5OTkiIHk9IjE1OS4xNzUxNDMiLz4KPHVzZSB4bGluazpocmVm\nPSIjZ2x5cGgtMC0zIiB4PSIzNTcuODQzMTczIiB5PSIxNTkuMTc1MTQzIi8+Cjx1c2UgeGxpbms6\naHJlZj0iI2dseXBoLTAtMTAiIHg9IjM2MS45MzExMDkiIHk9IjE1OS4xNzUxNDMiLz4KPC9nPgo8\nZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJl\nZj0iI2dseXBoLTAtMiIgeD0iMzY2Ljc4NjIwNCIgeT0iMTU5LjE3NTE0MyIvPgo8L2c+CjxwYXRo\nIGZpbGwtcnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDk0Ljk5OTY5NSUsIDk0Ljk5OTY5NSUsIDEw\nMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC4zOTg1IiBzdHJva2UtbGluZWNh\ncD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSki\nIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0gNDMuMDkzOTQx\nIDguMDk0MDk2IEwgLTQzLjA5NzEwNSA4LjA5NDA5NiBDIC00NC43NDYyNjMgOC4wOTQwOTYgLTQ2\nLjA4NTk2IDYuNzU4MzE3IC00Ni4wODU5NiA1LjEwNTI0MiBMIC00Ni4wODU5NiAtNS4xMDcwMDUg\nQyAtNDYuMDg1OTYgLTYuNzU2MTYzIC00NC43NDYyNjMgLTguMDk1ODU5IC00My4wOTcxMDUgLTgu\nMDk1ODU5IEwgNDMuMDkzOTQxIC04LjA5NTg1OSBDIDQ0Ljc0NzAxNyAtOC4wOTU4NTkgNDYuMDgy\nNzk2IC02Ljc1NjE2MyA0Ni4wODI3OTYgLTUuMTA3MDA1IEwgNDYuMDgyNzk2IDUuMTA1MjQyIEMg\nNDYuMDgyNzk2IDYuNzU4MzE3IDQ0Ljc0NzAxNyA4LjA5NDA5NiA0My4wOTM5NDEgOC4wOTQwOTYg\nWiBNIDQzLjA5Mzk0MSA4LjA5NDA5NiAiIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk3MTk0LCAwLCAw\nLCAtMC45OTcxOTQsIDE4NC41ODU1NjIsIDE1Ni41Njc0OCkiLz4KPGcgZmlsbD0icmdiKDAlLCAw\nJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE5IiB4\nPSIxNTAuMTQ4NDU0IiB5PSIxNTkuNjcxNzQ2Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAt\nMyIgeD0iMTU1LjI1MzkwNCIgeT0iMTU5LjY3MTc0NiIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlw\naC0wLTE4IiB4PSIxNTkuMzQxODQiIHk9IjE1OS42NzE3NDYiLz4KPHVzZSB4bGluazpocmVmPSIj\nZ2x5cGgtMC0xNSIgeD0iMTY0LjQ0NzI5IiB5PSIxNTkuNjcxNzQ2Ii8+Cjx1c2UgeGxpbms6aHJl\nZj0iI2dseXBoLTAtOSIgeD0iMTY3LjAwMDAxNSIgeT0iMTU5LjY3MTc0NiIvPgo8dXNlIHhsaW5r\nOmhyZWY9IiNnbHlwaC0wLTMiIHg9IjE3NC42NTgxODkiIHk9IjE1OS42NzE3NDYiLz4KPHVzZSB4\nbGluazpocmVmPSIjZ2x5cGgtMC0xMCIgeD0iMTc4Ljc0NjEyNSIgeT0iMTU5LjY3MTc0NiIvPgo8\nL2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGlu\nazpocmVmPSIjZ2x5cGgtMC0yIiB4PSIxODMuNTkyMjc5IiB5PSIxNTkuNjcxNzQ2Ii8+CjwvZz4K\nPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhy\nZWY9IiNnbHlwaC0wLTExIiB4PSIxOTAuMjMyOTQiIHk9IjE1OS42NzE3NDYiLz4KPC9nPgo8ZyBm\naWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJlZj0i\nI2dseXBoLTAtMTYiIHg9IjE5OS41NDQzNSIgeT0iMTU5LjY3MTc0NiIvPgo8dXNlIHhsaW5rOmhy\nZWY9IiNnbHlwaC0wLTIiIHg9IjIwMy4xNjkxMyIgeT0iMTU5LjY3MTc0NiIvPgo8dXNlIHhsaW5r\nOmhyZWY9IiNnbHlwaC0wLTYiIHg9IjIwNi43NDI5NDUiIHk9IjE1OS42NzE3NDYiLz4KPHVzZSB4\nbGluazpocmVmPSIjZ2x5cGgtMC00IiB4PSIyMTEuMzM3ODUiIHk9IjE1OS42NzE3NDYiLz4KPHVz\nZSB4bGluazpocmVmPSIjZ2x5cGgtMC0zIiB4PSIyMTQuOTMyMjI5IiB5PSIxNTkuNjcxNzQ2Ii8+\nCjwvZz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoOTQuOTk5Njk1JSwgOTQu\nOTk5Njk1JSwgMTAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdpZHRoPSIwLjM5ODUiIHN0\ncm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJnYigw\nJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIgZD0i\nTSAtODcuMjk5MjQ5IDk4LjYxMzY5NCBMIC0xNzMuNDkwMjk1IDk4LjYxMzY5NCBDIC0xNzUuMTQz\nMzcgOTguNjEzNjk0IC0xNzYuNDc5MTQ5IDk3LjI3NzkxNCAtMTc2LjQ3OTE0OSA5NS42MjQ4Mzkg\nTCAtMTc2LjQ3OTE0OSA3NC40NTYwNyBDIC0xNzYuNDc5MTQ5IDcyLjgwMjk5NSAtMTc1LjE0MzM3\nIDcxLjQ2NzIxNiAtMTczLjQ5MDI5NSA3MS40NjcyMTYgTCAtODcuMjk5MjQ5IDcxLjQ2NzIxNiBD\nIC04NS42NTAwOSA3MS40NjcyMTYgLTg0LjMxMDM5NCA3Mi44MDI5OTUgLTg0LjMxMDM5NCA3NC40\nNTYwNyBMIC04NC4zMTAzOTQgOTUuNjI0ODM5IEMgLTg0LjMxMDM5NCA5Ny4yNzc5MTQgLTg1LjY1\nMDA5IDk4LjYxMzY5NCAtODcuMjk5MjQ5IDk4LjYxMzY5NCBaIE0gLTg3LjI5OTI0OSA5OC42MTM2\nOTQgIiB0cmFuc2Zvcm09Im1hdHJpeCgwLjk5NzE5NCwgMCwgMCwgLTAuOTk3MTk0LCAxODQuNTg1\nNTYyLCAxNTYuNTY3NDgpIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5\nPSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xMSIgeD0iMzcuNTY4MjExIiB5PSI2OS40\nMDc3MTQiLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtNyIgeD0iNDYuODg4NTYzIiB5PSI2OS40MDc3MTQi\nLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC02IiB4PSI0OS40NDEyODciIHk9IjY5LjQwNzcx\nNCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE2IiB4PSI1NC4wMzYxOTIiIHk9IjY5LjQw\nNzcxNCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE2IiB4PSI1Ny42NjA5NzIiIHk9IjY5\nLjQwNzcxNCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTMiIHg9IjYxLjI4NTc1MiIgeT0i\nNjkuNDA3NzE0Ii8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9\nIjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE2IiB4PSI2NS4zNjQ3NDciIHk9IjY5LjQw\nNzcxNCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTIwIiB4PSI2OC45ODk1MjciIHk9IjY5\nLjQwNzcxNCIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIx\nIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC02IiB4PSIyMS40OTA0NDgiIHk9IjgwLjMzNDk2\nOSIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTgiIHg9IjI2LjA4NTM1MiIgeT0iODAuMzM0\nOTY5Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMiIgeD0iMzEuMTkwODAyIiB5PSI4MC4z\nMzQ5NjkiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0yMSIgeD0iMzQuNzY0NjE3IiB5PSI4\nMC4zMzQ5NjkiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC02IiB4PSIzOS44NzAwNjYiIHk9\nIjgwLjMzNDk2OSIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5\nPSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0yMiIgeD0iNDQuMjA1Njc1IiB5PSI4MC4z\nMzQ5NjkiLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMjMiIHg9IjUzLjkwOTYwNiIgeT0iODAuMzM0OTY5\nIi8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNl\nIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE0IiB4PSI2NC4xMTUxNDEiIHk9IjgwLjMzNDk2OSIvPgo8\ndXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTgiIHg9IjY5LjIyMDU5IiB5PSI4MC4zMzQ5NjkiLz4K\nPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC00IiB4PSI3NC4zMjYwNCIgeT0iODAuMzM0OTY5Ii8+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTUiIHg9Ijc3LjkyMDQxOSIgeT0iODAuMzM0OTY5\nIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMSIgeD0iODAuNDczMTQ0IiB5PSI4MC4zMzQ5\nNjkiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC03IiB4PSI4NS4wNjgwNDkiIHk9IjgwLjMz\nNDk2OSIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4K\nPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi0wIiB4PSIxNDguNjk1NTQyIiB5PSIxNy40Njc4NTIi\nLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2Ug\neGxpbms6aHJlZj0iI2dseXBoLTItMSIgeD0iMTUyLjQ1MjY1MyIgeT0iMTcuNDY3ODUyIi8+Cjx1\nc2UgeGxpbms6aHJlZj0iI2dseXBoLTItMiIgeD0iMTU3LjE0NDEyMyIgeT0iMTcuNDY3ODUyIi8+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItMCIgeD0iMTYwLjE5Mzk4MSIgeT0iMTcuNDY3ODUy\nIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItMyIgeD0iMTY0LjQxNjAzNSIgeT0iMTcuNDY3\nODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItNCIgeD0iMTY5LjEwNzUwNiIgeT0iMTcu\nNDY3ODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItNSIgeD0iMTc2LjYxMzY3OSIgeT0i\nMTcuNDY3ODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItNiIgeD0iMTgwLjgzNTczNCIg\neT0iMTcuNDY3ODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItMiIgeD0iMTg1Ljk5NjYx\nOSIgeT0iMTcuNDY3ODUyIi8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9w\nYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0yLTciIHg9IjE5Mi4zMjc5MTMiIHk9\nIjE3LjQ2Nzg1MiIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0yLTgiIHg9IjE5NC42NzMyMDEi\nIHk9IjE3LjQ2Nzg1MiIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFj\naXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi0xIiB4PSIxOTguODkwNzg2IiB5PSIx\nNy40Njc4NTIiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi05IiB4PSIyMDMuNTgyMjU2IiB5\nPSIxNy40Njc4NTIiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi0xMCIgeD0iMjA4LjI3Mzcy\nNiIgeT0iMTcuNDY3ODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItNiIgeD0iMjExLjA4\nODQyOSIgeT0iMTcuNDY3ODUyIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTItMTEiIHg9IjIx\nNi4yNDkzMTQiIHk9IjE3LjQ2Nzg1MiIvPgo8L2c+CjxwYXRoIGZpbGw9Im5vbmUiIHN0cm9rZS13\naWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxpbmVjYXA9ImJ1dHQiIHN0cm9rZS1saW5lam9pbj0ibWl0\nZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwgMCUpIiBzdHJva2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1p\ndGVybGltaXQ9IjEwIiBkPSJNIDQ2LjI4MjU3NSA4NS4wNDA0NTUgTCAxMDQuOTc4NTA5IDg1LjA0\nMDQ1NSAiIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk3MTk0LCAwLCAwLCAtMC45OTcxOTQsIDE4NC41\nODU1NjIsIDE1Ni41Njc0OCkiLz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2Io\nMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdpZHRoPSIwLjc5NzAxIiBzdHJv\na2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIgc3Ryb2tlPSJyZ2IoMCUs\nIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0g\nNi4yMzQ1NDcgMC4wMDAwMzQ2Mjk4IEwgMS4yODcwNzIgMS44Njg1NTggTCAyLjkyNDQ3OCAwLjAw\nMDAzNDYyOTggTCAxLjI4NzA3MiAtMS44Njg0ODkgWiBNIDYuMjM0NTQ3IDAuMDAwMDM0NjI5OCAi\nIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk3MTk0LCAwLCAwLCAtMC45OTcxOTQsIDI4Ni41NTI0Nzcs\nIDcxLjc2NTY2KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigxMDAlLCAx\nMDAlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBkPSJNIDI1Ny4yNTc4MTIgNzEuMzY3MTg4IEwg\nMjY3LjM4MjgxMiA3MS4zNjcxODggTCAyNjcuMzgyODEyIDYyLjI2MTcxOSBMIDI1Ny4yNTc4MTIg\nNjIuMjYxNzE5IFogTSAyNTcuMjU3ODEyIDcxLjM2NzE4OCAiLz4KPGcgZmlsbD0icmdiKDAlLCAw\nJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTI0IiB4\nPSIyNTguNzQ1OTA0IiB5PSI2OS4wNTE3MTYiLz4KPC9nPgo8cGF0aCBmaWxsPSJub25lIiBzdHJv\na2Utd2lkdGg9IjAuNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49\nIm1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9r\nZS1taXRlcmxpbWl0PSIxMCIgZD0iTSAxNTUuOTA2NTU1IDc1Ljg3NDExMSBMIDE1NS45MDY1NTUg\nMTMuNDM3MjEzICIgdHJhbnNmb3JtPSJtYXRyaXgoMC45OTcxOTQsIDAsIDAsIC0wLjk5NzE5NCwg\nMTg0LjU4NTU2MiwgMTU2LjU2NzQ4KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9\nInJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBzdHJva2Utd2lkdGg9IjAuNzk3MDEi\nIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJn\nYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIg\nZD0iTSA2LjIzNDkzNSAtMC4wMDA4ODUwOTcgTCAxLjI4NzQ2IDEuODY3NjM5IEwgMi45MjA5NDkg\nLTAuMDAwODg1MDk3IEwgMS4yODc0NiAtMS44Njk0MDkgWiBNIDYuMjM0OTM1IC0wLjAwMDg4NTA5\nNyAiIHRyYW5zZm9ybT0ibWF0cml4KDAsIDAuOTk3MTk0LCAwLjk5NzE5NCwgMCwgMzQwLjA1NTU3\nLCAxNDAuNDUwNTI3KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigxMDAl\nLCAxMDAlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBkPSJNIDM0MC40NTMxMjUgMTE4LjkwNjI1\nIEwgMzUwLjU4MjAzMSAxMTguOTA2MjUgTCAzNTAuNTgyMDMxIDEwOS44MDA3ODEgTCAzNDAuNDUz\nMTI1IDEwOS44MDA3ODEgWiBNIDM0MC40NTMxMjUgMTE4LjkwNjI1ICIvPgo8ZyBmaWxsPSJyZ2Io\nMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTMt\nMCIgeD0iMzQxLjk0MDgyNiIgeT0iMTE2LjU4ODk2NCIvPgo8L2c+CjxwYXRoIGZpbGw9Im5vbmUi\nIHN0cm9rZS13aWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxpbmVjYXA9ImJ1dHQiIHN0cm9rZS1saW5l\nam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwgMCUpIiBzdHJva2Utb3BhY2l0eT0iMSIg\nc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJNIDEwOS42MjQzNTcgMC4wMDEwNzcxOCBMIDUwLjky\nODQyMyAwLjAwMTA3NzE4ICIgdHJhbnNmb3JtPSJtYXRyaXgoMC45OTcxOTQsIDAsIDAsIC0wLjk5\nNzE5NCwgMTg0LjU4NTU2MiwgMTU2LjU2NzQ4KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8i\nIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBzdHJva2Utd2lkdGg9IjAu\nNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJv\na2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0\nPSIxMCIgZD0iTSA2LjIzNTAzNSAtMC4wMDEwNzcxOCBMIDEuMjg3NTYgMS44Njc0NDcgTCAyLjky\nMTA1IC0wLjAwMTA3NzE4IEwgMS4yODc1NiAtMS44Njk2MDEgWiBNIDYuMjM1MDM1IC0wLjAwMTA3\nNzE4ICIgdHJhbnNmb3JtPSJtYXRyaXgoLTAuOTk3MTk0LCAwLCAwLCAwLjk5NzE5NCwgMjM4LjA4\nODYzNSwgMTU2LjU2NzQ4KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigx\nMDAlLCAxMDAlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBkPSJNIDI1Ny4yNTc4MTIgMTY2LjA3\nMDMxMiBMIDI2Ny4zODI4MTIgMTY2LjA3MDMxMiBMIDI2Ny4zODI4MTIgMTU2Ljk2NDg0NCBMIDI1\nNy4yNTc4MTIgMTU2Ljk2NDg0NCBaIE0gMjU3LjI1NzgxMiAxNjYuMDcwMzEyICIvPgo8ZyBmaWxs\nPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJlZj0iI2ds\neXBoLTAtMjQiIHg9IjI1OC43NDU5MDQiIHk9IjE2My43NTMyNjIiLz4KPC9nPgo8cGF0aCBmaWxs\nPSJub25lIiBzdHJva2Utd2lkdGg9IjAuNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJv\na2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNp\ndHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIgZD0iTSAwLjAwMDM3NjcxMSA4LjI5Mzg3NiBM\nIDAuMDAwMzc2NzExIDcyLjA5Nzg5MSAiIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk3MTk0LCAwLCAw\nLCAtMC45OTcxOTQsIDE4NC41ODU1NjIsIDE1Ni41Njc0OCkiLz4KPHBhdGggZmlsbC1ydWxlPSJu\nb256ZXJvIiBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdp\nZHRoPSIwLjc5NzAxIiBzdHJva2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRl\nciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0\nZXJsaW1pdD0iMTAiIGQ9Ik0gNi4yMzU0MTYgLTAuMDAwMzc2NzExIEwgMS4yODc5NDEgMS44Njgx\nNDcgTCAyLjkyMTQzMSAtMC4wMDAzNzY3MTEgTCAxLjI4Nzk0MSAtMS44Njg5MDEgWiBNIDYuMjM1\nNDE2IC0wLjAwMDM3NjcxMSAiIHRyYW5zZm9ybT0ibWF0cml4KDAsIC0wLjk5NzE5NCwgLTAuOTk3\nMTk0LCAwLCAxODQuNTg1NTYyLCA4Ny4zODU4OSkiLz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJv\nIiBmaWxsPSJyZ2IoMTAwJSwgMTAwJSwgMTAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgZD0iTSAxNzQu\nMDU4NTk0IDExOC43MTg3NSBMIDE4NC4xODc1IDExOC43MTg3NSBMIDE4NC4xODc1IDEwOS42MTMy\nODEgTCAxNzQuMDU4NTk0IDEwOS42MTMyODEgWiBNIDE3NC4wNTg1OTQgMTE4LjcxODc1ICIvPgo8\nZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6aHJl\nZj0iI2dseXBoLTMtMCIgeD0iMTc1LjU0OTk4NCIgeT0iMTE2LjQwMjQ4OSIvPgo8L2c+CjxwYXRo\nIGZpbGw9Im5vbmUiIHN0cm9rZS13aWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxpbmVjYXA9ImJ1dHQi\nIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwgMCUpIiBzdHJva2Ut\nb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJNIC0xNy43NzYwNjEgOTMuMzMz\nMjUzIEMgLTQ2LjI4OTY1NiAxMDguOTk0MzgxIC03MC41NTMwNDUgMTEwLjU5MjYxNSAtOTYuNTQ3\nODU0IDEwMC40OTc4ODYgIiB0cmFuc2Zvcm09Im1hdHJpeCgwLjk5NzE5NCwgMCwgMCwgLTAuOTk3\nMTk0LCAxODQuNTg1NTYyLCAxNTYuNTY3NDgpIi8+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVybyIg\nZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC43\nOTcwMSIgc3Ryb2tlLWxpbmVjYXA9ImJ1dHQiIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9r\nZT0icmdiKDAlLCAwJSwgMCUpIiBzdHJva2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9\nIjEwIiBkPSJNIDYuMjMzNjYxIDAuMDAwNjc5MDA5IEwgMS4yODU1ODggMS44NjgxNTUgTCAyLjky\nMjE2MiAwLjAwMTA1NjgyIEwgMS4yODgwMDcgLTEuODY4ODk0IFogTSA2LjIzMzY2MSAwLjAwMDY3\nOTAwOSAiIHRyYW5zZm9ybT0ibWF0cml4KC0wLjkyOTQ4NSwgMC4zNjEwNjQsIDAuMzYxMDY0LCAw\nLjkyOTQ4NSwgOTAuODQwNzIzLCA1NS4zNjk3MTEpIi8+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVy\nbyIgZmlsbD0icmdiKDEwMCUsIDEwMCUsIDEwMCUpIiBmaWxsLW9wYWNpdHk9IjEiIGQ9Ik0gMTIx\nLjAzOTA2MiA1MC4xMDU0NjkgTCAxMzEuMTY0MDYyIDUwLjEwNTQ2OSBMIDEzMS4xNjQwNjIgNDAu\nOTk2MDk0IEwgMTIxLjAzOTA2MiA0MC45OTYwOTQgWiBNIDEyMS4wMzkwNjIgNTAuMTA1NDY5ICIv\nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxpbms6\naHJlZj0iI2dseXBoLTAtMjQiIHg9IjEyMi41MjkxNjQiIHk9IjQ3Ljc4NzU0NSIvPgo8L2c+Cjxw\nYXRoIGZpbGw9Im5vbmUiIHN0cm9rZS13aWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxpbmVjYXA9ImJ1\ndHQiIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwgMCUpIiBzdHJv\na2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJNIC0xMDAuODc2NDA1IDcx\nLjI2NzQzNiBDIC03MC41NTMwNDUgNTkuNDg4Mjk0IC00Ni4yODk2NTYgNjEuMDg2NTI4IC0yMS44\nNDYwNzQgNzQuNTEwOTEyICIgdHJhbnNmb3JtPSJtYXRyaXgoMC45OTcxOTQsIDAsIDAsIC0wLjk5\nNzE5NCwgMTg0LjU4NTU2MiwgMTU2LjU2NzQ4KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8i\nIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBzdHJva2Utd2lkdGg9IjAu\nNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJv\na2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0\nPSIxMCIgZD0iTSA2LjIzMzA2NyAwLjAwMDA1NDAzMDEgTCAxLjI4NzI5MiAxLjg2NjY5MSBMIDIu\nOTIxMjMyIC0wLjAwMDMyMzExMyBMIDEuMjg3MTAxIC0xLjg2OTQgWiBNIDYuMjMzMDY3IDAuMDAw\nMDU0MDMwMSAiIHRyYW5zZm9ybT0ibWF0cml4KDAuODc0MDUxLCAtMC40Nzk5NSwgLTAuNDc5OTUs\nIC0wLjg3NDA1MSwgMTYwLjQxOTE5NywgODMuNTczNjM3KSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5v\nbnplcm8iIGZpbGw9InJnYigxMDAlLCAxMDAlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBkPSJN\nIDEyMS4wMzkwNjIgMTAyLjUzNTE1NiBMIDEzMS4xNjQwNjIgMTAyLjUzNTE1NiBMIDEzMS4xNjQw\nNjIgOTMuNDI1NzgxIEwgMTIxLjAzOTA2MiA5My40MjU3ODEgWiBNIDEyMS4wMzkwNjIgMTAyLjUz\nNTE1NiAiLz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNl\nIHhsaW5rOmhyZWY9IiNnbHlwaC0zLTAiIHg9IjEyMi41MjkxNjQiIHk9IjEwMC4yMTYwMzEiLz4K\nPC9nPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2Utd2lkdGg9IjAuNzk3MDEiIHN0cm9rZS1saW5l\nY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUsIDAl\nKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIgZD0iTSAwLjAwMDM3\nNjcxMSAxMzQuMjI5MjQ2IEwgMC4wMDAzNzY3MTEgOTcuOTgzMDE4ICIgdHJhbnNmb3JtPSJtYXRy\naXgoMC45OTcxOTQsIDAsIDAsIC0wLjk5NzE5NCwgMTg0LjU4NTU2MiwgMTU2LjU2NzQ4KSIvPgo8\ncGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFj\naXR5PSIxIiBzdHJva2Utd2lkdGg9IjAuNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJv\na2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNp\ndHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIgZD0iTSA2LjIzNTM0NyAwLjAwMDM3NjcxMSBM\nIDEuMjg3ODcyIDEuODY4OTAxIEwgMi45MjEzNjIgMC4wMDAzNzY3MTEgTCAxLjI4Nzg3MiAtMS44\nNjgxNDcgWiBNIDYuMjM1MzQ3IDAuMDAwMzc2NzExICIgdHJhbnNmb3JtPSJtYXRyaXgoMCwgMC45\nOTcxOTQsIDAuOTk3MTk0LCAwLCAxODQuNTg1NTYyLCA1Ni4xNDU0MjkpIi8+CjxwYXRoIGZpbGwt\ncnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDEwMCUsIDEwMCUsIDEwMCUpIiBmaWxsLW9wYWNpdHk9\nIjEiIGQ9Ik0gMTg0Ljk4NDM3NSA0Ny42NjAxNTYgTCAxOTUuMTA5Mzc1IDQ3LjY2MDE1NiBMIDE5\nNS4xMDkzNzUgMzguNTUwNzgxIEwgMTg0Ljk4NDM3NSAzOC41NTA3ODEgWiBNIDE4NC45ODQzNzUg\nNDcuNjYwMTU2ICIvPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMjQiIHg9IjE4Ni40NzMyNTEiIHk9IjQ1LjM0MTQy\nNyIvPgo8L2c+Cjwvc3ZnPgo=\n"
        },
        "figures/ocean_diagram.svg": {
          "image/svg+xml": 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BQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFB\nQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFQWllRRUo4eENBaG5RY0FicFlVdDNCd3c3\nMGZQUEtXbUt3V1VUZm5TeG1oNXVKMklLMWRKZXRJK3p1bjZLMEFCVnBhQ1hmd2FjSy8yS2pMRzJn\nUDVZUUhTT3M9PC9jMnBhOm1hbmlmZXN0PjwvbWV0YWRhdGE+CjxkZWZzPgo8Zz4KPGcgaWQ9Imds\neXBoLTAtMCI+CjxwYXRoIGQ9Ik0gMy42NTYyNSAtNi4yMDMxMjUgQyAzLjYwOTM3NSAtNi4zMTI1\nIDMuNTc4MTI1IC02LjM5MDYyNSAzLjQzNzUgLTYuMzkwNjI1IEMgMy4yOTY4NzUgLTYuMzkwNjI1\nIDMuMjgxMjUgLTYuMzI4MTI1IDMuMjE4NzUgLTYuMTg3NSBMIDEuMjk2ODc1IC0wLjg5MDYyNSBD\nIDEuMjAzMTI1IC0wLjU5Mzc1IDAuOTg0Mzc1IC0wLjI4MTI1IDAuMjk2ODc1IC0wLjI4MTI1IEwg\nMC4yOTY4NzUgMCBDIDAuNjQwNjI1IC0wLjAzMTI1IDAuODkwNjI1IC0wLjAzMTI1IDEuMjE4NzUg\nLTAuMDMxMjUgQyAxLjUzMTI1IC0wLjAzMTI1IDEuNzE4NzUgLTAuMDE1NjI1IDIuMjE4NzUgMCBM\nIDIuMjE4NzUgLTAuMjgxMjUgQyAxLjcxODc1IC0wLjI4MTI1IDEuNTYyNSAtMC41NjI1IDEuNTYy\nNSAtMC43MzQzNzUgQyAxLjU2MjUgLTAuODEyNSAxLjU3ODEyNSAtMC44NTkzNzUgMS41OTM3NSAt\nMC45MDYyNSBMIDIuMDE1NjI1IC0yLjA0Njg3NSBMIDQuMzI4MTI1IC0yLjA0Njg3NSBMIDQuODEy\nNSAtMC43MDMxMjUgQyA0Ljg0Mzc1IC0wLjYwOTM3NSA0Ljg1OTM3NSAtMC41OTM3NSA0Ljg1OTM3\nNSAtMC41NDY4NzUgQyA0Ljg1OTM3NSAtMC4yODEyNSA0LjM1OTM3NSAtMC4yODEyNSA0LjEyNSAt\nMC4yODEyNSBMIDQuMTI1IDAgQyA0LjUxNTYyNSAtMC4wMzEyNSA0Ljk4NDM3NSAtMC4wMzEyNSA1\nLjM5MDYyNSAtMC4wMzEyNSBDIDUuNzk2ODc1IC0wLjAzMTI1IDUuODI4MTI1IC0wLjAzMTI1IDYu\nNTYyNSAwIEwgNi41NjI1IC0wLjI4MTI1IEwgNi40MjE4NzUgLTAuMjgxMjUgQyA1Ljg1OTM3NSAt\nMC4yODEyNSA1Ljc2NTYyNSAtMC4zNTkzNzUgNS42NzE4NzUgLTAuNjA5Mzc1IFogTSA0LjIxODc1\nIC0yLjMyODEyNSBMIDIuMTA5Mzc1IC0yLjMyODEyNSBMIDMuMTcxODc1IC01LjI1IFogTSA0LjIx\nODc1IC0yLjMyODEyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xIj4KPHBhdGggZD0iTSAyLjkw\nNjI1IC0zLjU2MjUgTCAyLjkwNjI1IC0zLjg0Mzc1IEwgMS42MDkzNzUgLTMuODQzNzUgTCAxLjYw\nOTM3NSAtNS40ODQzNzUgTCAxLjM1OTM3NSAtNS40ODQzNzUgQyAxLjM0Mzc1IC00LjczNDM3NSAx\nLjAzMTI1IC0zLjgxMjUgMC4xNzE4NzUgLTMuNzk2ODc1IEwgMC4xNzE4NzUgLTMuNTYyNSBMIDAu\nOTUzMTI1IC0zLjU2MjUgTCAwLjk1MzEyNSAtMS4xMDkzNzUgQyAwLjk1MzEyNSAtMC4xMDkzNzUg\nMS42NzE4NzUgMC4wOTM3NSAyLjE0MDYyNSAwLjA5Mzc1IEMgMi43MzQzNzUgMC4wOTM3NSAzLjA0\nNjg3NSAtMC40Njg3NSAzLjA0Njg3NSAtMS4xMDkzNzUgTCAzLjA0Njg3NSAtMS42MDkzNzUgTCAy\nLjc5Njg3NSAtMS42MDkzNzUgTCAyLjc5Njg3NSAtMS4xNDA2MjUgQyAyLjc5Njg3NSAtMC40Njg3\nNSAyLjUzMTI1IC0wLjE1NjI1IDIuMjAzMTI1IC0wLjE1NjI1IEMgMS42MDkzNzUgLTAuMTU2MjUg\nMS42MDkzNzUgLTAuOTM3NSAxLjYwOTM3NSAtMS4wOTM3NSBMIDEuNjA5Mzc1IC0zLjU2MjUgWiBN\nIDIuOTA2MjUgLTMuNTYyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0yIj4KPHBhdGggZD0iTSAx\nLjY1NjI1IC0yLjMxMjUgQyAxLjY1NjI1IC0zLjI4MTI1IDIuMzU5Mzc1IC0zLjcxODc1IDIuODkw\nNjI1IC0zLjcxODc1IEMgMy4zNzUgLTMuNzE4NzUgMy41NDY4NzUgLTMuMzc1IDMuNTQ2ODc1IC0y\nLjc1IEwgMy41NDY4NzUgLTAuNjg3NSBDIDMuNTQ2ODc1IC0wLjI4MTI1IDMuNDM3NSAtMC4yODEy\nNSAyLjg1OTM3NSAtMC4yODEyNSBMIDIuODU5Mzc1IDAgQyAzLjI4MTI1IC0wLjAxNTYyNSAzLjQz\nNzUgLTAuMDMxMjUgMy44NzUgLTAuMDMxMjUgQyA0LjI5Njg3NSAtMC4wMzEyNSA0LjQyMTg3NSAt\nMC4wMTU2MjUgNC44OTA2MjUgMCBMIDQuODkwNjI1IC0wLjI4MTI1IEMgNC4yOTY4NzUgLTAuMjgx\nMjUgNC4yMDMxMjUgLTAuMjgxMjUgNC4yMDMxMjUgLTAuNjg3NSBMIDQuMjAzMTI1IC0yLjMxMjUg\nQyA0LjIwMzEyNSAtMy4yODEyNSA0Ljg5MDYyNSAtMy43MTg3NSA1LjQzNzUgLTMuNzE4NzUgQyA1\nLjkyMTg3NSAtMy43MTg3NSA2LjA3ODEyNSAtMy4zNzUgNi4wNzgxMjUgLTIuNzUgTCA2LjA3ODEy\nNSAtMC42ODc1IEMgNi4wNzgxMjUgLTAuMjgxMjUgNS45ODQzNzUgLTAuMjgxMjUgNS4zOTA2MjUg\nLTAuMjgxMjUgTCA1LjM5MDYyNSAwIEMgNS44MTI1IC0wLjAxNTYyNSA1Ljk4NDM3NSAtMC4wMzEy\nNSA2LjQyMTg3NSAtMC4wMzEyNSBDIDYuODQzNzUgLTAuMDMxMjUgNi45NTMxMjUgLTAuMDE1NjI1\nIDcuNDM3NSAwIEwgNy40Mzc1IC0wLjI4MTI1IEMgNi45ODQzNzUgLTAuMjgxMjUgNi43NSAtMC4y\nODEyNSA2Ljc1IC0wLjU0Njg3NSBMIDYuNzUgLTIuMjY1NjI1IEMgNi43NSAtMy4wNDY4NzUgNi43\nNSAtMy4yOTY4NzUgNi40NTMxMjUgLTMuNjI1IEMgNi4yNjU2MjUgLTMuODQzNzUgNS45MDYyNSAt\nMy45Mzc1IDUuNSAtMy45Mzc1IEMgNC44NTkzNzUgLTMuOTM3NSA0LjQyMTg3NSAtMy41NjI1IDQu\nMTcxODc1IC0zLjA5Mzc1IEMgNC4wNjI1IC0zLjYyNSAzLjcwMzEyNSAtMy45Mzc1IDIuOTUzMTI1\nIC0zLjkzNzUgQyAyLjIzNDM3NSAtMy45Mzc1IDEuNzk2ODc1IC0zLjQ4NDM3NSAxLjYwOTM3NSAt\nMy4wNjI1IEwgMS42MDkzNzUgLTMuOTM3NSBMIDAuMzEyNSAtMy44NDM3NSBMIDAuMzEyNSAtMy41\nNjI1IEMgMC45MjE4NzUgLTMuNTYyNSAxIC0zLjUgMSAtMy4wNjI1IEwgMSAtMC42ODc1IEMgMSAt\nMC4yODEyNSAwLjkwNjI1IC0wLjI4MTI1IDAuMzEyNSAtMC4yODEyNSBMIDAuMzEyNSAwIEMgMC43\nMzQzNzUgLTAuMDE1NjI1IDAuOTA2MjUgLTAuMDMxMjUgMS4zMjgxMjUgLTAuMDMxMjUgQyAxLjc1\nIC0wLjAzMTI1IDEuODc1IC0wLjAxNTYyNSAyLjM0Mzc1IDAgTCAyLjM0Mzc1IC0wLjI4MTI1IEMg\nMS43NSAtMC4yODEyNSAxLjY1NjI1IC0wLjI4MTI1IDEuNjU2MjUgLTAuNjg3NSBaIE0gMS42NTYy\nNSAtMi4zMTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTMiPgo8cGF0aCBkPSJNIDQuMzEyNSAt\nMS45MDYyNSBDIDQuMzEyNSAtMy4wNjI1IDMuMzkwNjI1IC00IDIuMjk2ODc1IC00IEMgMS4xNTYy\nNSAtNCAwLjI2NTYyNSAtMy4wNDY4NzUgMC4yNjU2MjUgLTEuOTA2MjUgQyAwLjI2NTYyNSAtMC43\nODEyNSAxLjE4NzUgMC4wOTM3NSAyLjI4MTI1IDAuMDkzNzUgQyAzLjQyMTg3NSAwLjA5Mzc1IDQu\nMzEyNSAtMC43OTY4NzUgNC4zMTI1IC0xLjkwNjI1IFogTSAyLjI5Njg3NSAtMC4xNTYyNSBDIDEu\nODQzNzUgLTAuMTU2MjUgMS40Njg3NSAtMC4zNzUgMS4yNjU2MjUgLTAuNzE4NzUgQyAxLjAzMTI1\nIC0xLjA5Mzc1IDEuMDMxMjUgLTEuNTYyNSAxLjAzMTI1IC0xLjk4NDM3NSBDIDEuMDMxMjUgLTIu\nMzEyNSAxLjAzMTI1IC0yLjgxMjUgMS4yNSAtMy4xODc1IEMgMS41MTU2MjUgLTMuNjQwNjI1IDEu\nOTY4NzUgLTMuNzgxMjUgMi4yODEyNSAtMy43ODEyNSBDIDIuNzk2ODc1IC0zLjc4MTI1IDMuMTU2\nMjUgLTMuNDg0Mzc1IDMuMzQzNzUgLTMuMTg3NSBDIDMuNTQ2ODc1IC0yLjgxMjUgMy41NDY4NzUg\nLTIuMzU5Mzc1IDMuNTQ2ODc1IC0xLjk4NDM3NSBDIDMuNTQ2ODc1IC0xLjY1NjI1IDMuNTQ2ODc1\nIC0xLjE0MDYyNSAzLjMyODEyNSAtMC43MzQzNzUgQyAzLjA3ODEyNSAtMC4zMjgxMjUgMi42NzE4\nNzUgLTAuMTU2MjUgMi4yOTY4NzUgLTAuMTU2MjUgWiBNIDIuMjk2ODc1IC0wLjE1NjI1ICIvPgo8\nL2c+CjxnIGlkPSJnbHlwaC0wLTQiPgo8cGF0aCBkPSJNIDMuMDYyNSAtMy43NjU2MjUgQyAzLjA2\nMjUgLTMuOTIxODc1IDMuMDYyNSAtNCAyLjk2ODc1IC00IEMgMi45MjE4NzUgLTQgMi45MDYyNSAt\nNCAyLjc4MTI1IC0zLjg5MDYyNSBDIDIuNzY1NjI1IC0zLjg3NSAyLjY4NzUgLTMuNzk2ODc1IDIu\nNjI1IC0zLjc1IEMgMi4zNTkzNzUgLTMuOTM3NSAyLjA3ODEyNSAtNCAxLjc4MTI1IC00IEMgMC41\nOTM3NSAtNCAwLjI5Njg3NSAtMy4zNDM3NSAwLjI5Njg3NSAtMi44OTA2MjUgQyAwLjI5Njg3NSAt\nMi42MDkzNzUgMC40MjE4NzUgLTIuMzc1IDAuNjQwNjI1IC0yLjE3MTg3NSBDIDAuOTM3NSAtMS45\nMDYyNSAxLjI4MTI1IC0xLjg0Mzc1IDEuNzM0Mzc1IC0xLjc1IEMgMi4xODc1IC0xLjY3MTg3NSAy\nLjM0Mzc1IC0xLjY0MDYyNSAyLjUzMTI1IC0xLjQ4NDM3NSBDIDIuNjI1IC0xLjQyMTg3NSAyLjg0\nMzc1IC0xLjI1IDIuODQzNzUgLTAuOTA2MjUgQyAyLjg0Mzc1IC0wLjEyNSAxLjkzNzUgLTAuMTI1\nIDEuODEyNSAtMC4xMjUgQyAwLjkwNjI1IC0wLjEyNSAwLjY3MTg3NSAtMC44OTA2MjUgMC41Nzgx\nMjUgLTEuMzU5Mzc1IEMgMC41NDY4NzUgLTEuNDUzMTI1IDAuNTMxMjUgLTEuNSAwLjQyMTg3NSAt\nMS41IEMgMC4yOTY4NzUgLTEuNSAwLjI5Njg3NSAtMS40Mzc1IDAuMjk2ODc1IC0xLjI4MTI1IEwg\nMC4yOTY4NzUgLTAuMTQwNjI1IEMgMC4yOTY4NzUgMC4wMTU2MjUgMC4yOTY4NzUgMC4wOTM3NSAw\nLjQwNjI1IDAuMDkzNzUgQyAwLjQ2ODc1IDAuMDkzNzUgMC40Njg3NSAwLjA5Mzc1IDAuNjQwNjI1\nIC0wLjA3ODEyNSBDIDAuNjcxODc1IC0wLjE0MDYyNSAwLjc2NTYyNSAtMC4yNSAwLjgxMjUgLTAu\nMjk2ODc1IEMgMS4xODc1IDAuMDc4MTI1IDEuNTkzNzUgMC4wOTM3NSAxLjgxMjUgMC4wOTM3NSBD\nIDIuOTIxODc1IDAuMDkzNzUgMy4yOTY4NzUgLTAuNTQ2ODc1IDMuMjk2ODc1IC0xLjE0MDYyNSBD\nIDMuMjk2ODc1IC0xLjU0Njg3NSAzLjEyNSAtMS43ODEyNSAyLjkyMTg3NSAtMS45ODQzNzUgQyAy\nLjYyNSAtMi4yODEyNSAyLjI5Njg3NSAtMi4zNDM3NSAxLjY0MDYyNSAtMi40Njg3NSBDIDEuNDA2\nMjUgLTIuNTE1NjI1IDAuNzY1NjI1IC0yLjYyNSAwLjc2NTYyNSAtMy4xNDA2MjUgQyAwLjc2NTYy\nNSAtMy40MjE4NzUgMC45Njg3NSAtMy43OTY4NzUgMS43ODEyNSAtMy43OTY4NzUgQyAyLjczNDM3\nNSAtMy43OTY4NzUgMi43OTY4NzUgLTMuMDYyNSAyLjgxMjUgLTIuODQzNzUgQyAyLjgyODEyNSAt\nMi43MzQzNzUgMi44MjgxMjUgLTIuNjcxODc1IDIuOTM3NSAtMi42NzE4NzUgQyAzLjA2MjUgLTIu\nNjcxODc1IDMuMDYyNSAtMi43MzQzNzUgMy4wNjI1IC0yLjkwNjI1IFogTSAzLjA2MjUgLTMuNzY1\nNjI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTUiPgo8cGF0aCBkPSJNIDEuNjA5Mzc1IC0zIEMg\nMS45MjE4NzUgLTMuNTE1NjI1IDIuNDA2MjUgLTMuNjg3NSAyLjc4MTI1IC0zLjY4NzUgQyAzLjQ4\nNDM3NSAtMy42ODc1IDQuMDE1NjI1IC0yLjg5MDYyNSA0LjAxNTYyNSAtMS45MjE4NzUgQyA0LjAx\nNTYyNSAtMC45MDYyNSAzLjQwNjI1IC0wLjEyNSAyLjY4NzUgLTAuMTI1IEMgMi4yODEyNSAtMC4x\nMjUgMS45Mzc1IC0wLjM1OTM3NSAxLjczNDM3NSAtMC42NzE4NzUgQyAxLjYwOTM3NSAtMC44NDM3\nNSAxLjYwOTM3NSAtMC44NTkzNzUgMS42MDkzNzUgLTEuMDMxMjUgWiBNIDEuNjA5Mzc1IC0wLjQy\nMTg3NSBDIDEuODQzNzUgLTAuMjAzMTI1IDIuMTU2MjUgMC4wOTM3NSAyLjczNDM3NSAwLjA5Mzc1\nIEMgMy43OTY4NzUgMC4wOTM3NSA0Ljc4MTI1IC0wLjc2NTYyNSA0Ljc4MTI1IC0xLjkyMTg3NSBD\nIDQuNzgxMjUgLTMuMDQ2ODc1IDMuOTA2MjUgLTMuOTM3NSAyLjg1OTM3NSAtMy45Mzc1IEMgMi4z\nNzUgLTMuOTM3NSAxLjkyMTg3NSAtMy43NSAxLjU5Mzc1IC0zLjM3NSBMIDEuNTkzNzUgLTMuOTM3\nNSBMIDAuMjY1NjI1IC0zLjg0Mzc1IEwgMC4yNjU2MjUgLTMuNTYyNSBDIDAuOTA2MjUgLTMuNTYy\nNSAwLjk1MzEyNSAtMy41MTU2MjUgMC45NTMxMjUgLTMuMTI1IEwgMC45NTMxMjUgMS4wNDY4NzUg\nQyAwLjk1MzEyNSAxLjQ1MzEyNSAwLjg1OTM3NSAxLjQ1MzEyNSAwLjI2NTYyNSAxLjQ1MzEyNSBM\nIDAuMjY1NjI1IDEuNzM0Mzc1IEMgMC42ODc1IDEuNzE4NzUgMC44NTkzNzUgMS43MDMxMjUgMS4y\nODEyNSAxLjcwMzEyNSBDIDEuNzE4NzUgMS43MDMxMjUgMS44MjgxMjUgMS43MTg3NSAyLjI5Njg3\nNSAxLjczNDM3NSBMIDIuMjk2ODc1IDEuNDUzMTI1IEMgMS43MTg3NSAxLjQ1MzEyNSAxLjYwOTM3\nNSAxLjQ1MzEyNSAxLjYwOTM3NSAxLjA0Njg3NSBaIE0gMS42MDkzNzUgLTAuNDIxODc1ICIvPgo8\nL2c+CjxnIGlkPSJnbHlwaC0wLTYiPgo8cGF0aCBkPSJNIDEuNjI1IC02LjE4NzUgTCAwLjMxMjUg\nLTYuMDkzNzUgTCAwLjMxMjUgLTUuODEyNSBDIDAuOTIxODc1IC01LjgxMjUgMSAtNS43NSAxIC01\nLjMxMjUgTCAxIC0wLjY4NzUgQyAxIC0wLjI4MTI1IDAuOTA2MjUgLTAuMjgxMjUgMC4zMTI1IC0w\nLjI4MTI1IEwgMC4zMTI1IDAgQyAwLjczNDM3NSAtMC4wMTU2MjUgMC45MDYyNSAtMC4wMzEyNSAx\nLjMyODEyNSAtMC4wMzEyNSBDIDEuNzUgLTAuMDMxMjUgMS44NzUgLTAuMDE1NjI1IDIuMzQzNzUg\nMCBMIDIuMzQzNzUgLTAuMjgxMjUgQyAxLjc1IC0wLjI4MTI1IDEuNjU2MjUgLTAuMjgxMjUgMS42\nNTYyNSAtMC42ODc1IEwgMS42NTYyNSAtMi4zMTI1IEMgMS42NTYyNSAtMy4yNSAyLjMyODEyNSAt\nMy43MTg3NSAyLjg5MDYyNSAtMy43MTg3NSBDIDMuNDIxODc1IC0zLjcxODc1IDMuNTMxMjUgLTMu\nMjgxMjUgMy41MzEyNSAtMi43NSBMIDMuNTMxMjUgLTAuNjg3NSBDIDMuNTMxMjUgLTAuMjgxMjUg\nMy40Mzc1IC0wLjI4MTI1IDIuODQzNzUgLTAuMjgxMjUgTCAyLjg0Mzc1IDAgQyAzLjI2NTYyNSAt\nMC4wMTU2MjUgMy40Mzc1IC0wLjAzMTI1IDMuODU5Mzc1IC0wLjAzMTI1IEMgNC4yOTY4NzUgLTAu\nMDMxMjUgNC40MDYyNSAtMC4wMTU2MjUgNC44NzUgMCBMIDQuODc1IC0wLjI4MTI1IEMgNC40MjE4\nNzUgLTAuMjgxMjUgNC4yMDMxMjUgLTAuMjgxMjUgNC4xODc1IC0wLjU0Njg3NSBMIDQuMTg3NSAt\nMi4yNjU2MjUgQyA0LjE4NzUgLTMgNC4xODc1IC0zLjI2NTYyNSAzLjkzNzUgLTMuNTc4MTI1IEMg\nMy43MzQzNzUgLTMuODI4MTI1IDMuNDA2MjUgLTMuOTM3NSAyLjk1MzEyNSAtMy45Mzc1IEMgMi4z\nNTkzNzUgLTMuOTM3NSAxLjkyMTg3NSAtMy42MjUgMS42NDA2MjUgLTMuMTI1IEwgMS42MjUgLTMu\nMTI1IFogTSAxLjYyNSAtNi4xODc1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTciPgo8cGF0aCBk\nPSJNIDMuNTYyNSAtMi4wNDY4NzUgQyAzLjc2NTYyNSAtMi4wNDY4NzUgMy44MTI1IC0yLjA0Njg3\nNSAzLjgxMjUgLTIuMjM0Mzc1IEMgMy44MTI1IC0zLjE1NjI1IDMuMzEyNSAtNCAyLjE3MTg3NSAt\nNCBDIDEuMDkzNzUgLTQgMC4yNjU2MjUgLTMuMDYyNSAwLjI2NTYyNSAtMS45Njg3NSBDIDAuMjY1\nNjI1IC0wLjc5Njg3NSAxLjIwMzEyNSAwLjA5Mzc1IDIuMjgxMjUgMC4wOTM3NSBDIDMuMzc1IDAu\nMDkzNzUgMy44MTI1IC0wLjg1OTM3NSAzLjgxMjUgLTEuMDYyNSBDIDMuODEyNSAtMS4xMjUgMy43\nNjU2MjUgLTEuMTcxODc1IDMuNjg3NSAtMS4xNzE4NzUgQyAzLjU5Mzc1IC0xLjE3MTg3NSAzLjU2\nMjUgLTEuMTA5Mzc1IDMuNTYyNSAtMS4wNzgxMjUgQyAzLjI1IC0wLjE3MTg3NSAyLjQ2ODc1IC0w\nLjE1NjI1IDIuMzI4MTI1IC0wLjE1NjI1IEMgMS45MDYyNSAtMC4xNTYyNSAxLjUzMTI1IC0wLjM5\nMDYyNSAxLjMyODEyNSAtMC43MDMxMjUgQyAxLjAzMTI1IC0xLjE0MDYyNSAxLjAzMTI1IC0xLjY3\nMTg3NSAxLjAzMTI1IC0yLjA0Njg3NSBaIE0gMS4wMzEyNSAtMi4yNSBDIDEuMTA5Mzc1IC0zLjYy\nNSAxLjkyMTg3NSAtMy43ODEyNSAyLjE3MTg3NSAtMy43ODEyNSBDIDIuNjU2MjUgLTMuNzgxMjUg\nMy4xODc1IC0zLjQwNjI1IDMuMjAzMTI1IC0yLjI1IFogTSAxLjAzMTI1IC0yLjI1ICIvPgo8L2c+\nCjxnIGlkPSJnbHlwaC0wLTgiPgo8cGF0aCBkPSJNIDEuNTkzNzUgLTIuMDQ2ODc1IEMgMS41OTM3\nNSAtMi40MDYyNSAxLjY4NzUgLTMuNzE4NzUgMi43MDMxMjUgLTMuNzE4NzUgQyAyLjY4NzUgLTMu\nNzAzMTI1IDIuNTQ2ODc1IC0zLjU5Mzc1IDIuNTQ2ODc1IC0zLjM3NSBDIDIuNTQ2ODc1IC0zLjE0\nMDYyNSAyLjczNDM3NSAtMi45ODQzNzUgMi45Mzc1IC0yLjk4NDM3NSBDIDMuMTI1IC0yLjk4NDM3\nNSAzLjMyODEyNSAtMy4xMjUgMy4zMjgxMjUgLTMuMzkwNjI1IEMgMy4zMjgxMjUgLTMuNjcxODc1\nIDMuMDYyNSAtMy45Mzc1IDIuNjU2MjUgLTMuOTM3NSBDIDIuMTI1IC0zLjkzNzUgMS43NSAtMy41\nNjI1IDEuNTQ2ODc1IC0zLjAxNTYyNSBMIDEuNTMxMjUgLTMuMDE1NjI1IEwgMS41MzEyNSAtMy45\nMzc1IEwgMC4yNjU2MjUgLTMuODQzNzUgTCAwLjI2NTYyNSAtMy41NjI1IEMgMC44NzUgLTMuNTYy\nNSAwLjk1MzEyNSAtMy41IDAuOTUzMTI1IC0zLjA2MjUgTCAwLjk1MzEyNSAtMC42ODc1IEMgMC45\nNTMxMjUgLTAuMjgxMjUgMC44NTkzNzUgLTAuMjgxMjUgMC4yNjU2MjUgLTAuMjgxMjUgTCAwLjI2\nNTYyNSAwIEMgMC43MzQzNzUgLTAuMDE1NjI1IDAuODU5Mzc1IC0wLjAzMTI1IDEuMzEyNSAtMC4w\nMzEyNSBDIDEuNjcxODc1IC0wLjAzMTI1IDEuODc1IC0wLjAxNTYyNSAyLjQzNzUgMCBMIDIuNDM3\nNSAtMC4yODEyNSBMIDIuMjY1NjI1IC0wLjI4MTI1IEMgMS42MDkzNzUgLTAuMjgxMjUgMS41OTM3\nNSAtMC4zNzUgMS41OTM3NSAtMC43MDMxMjUgWiBNIDEuNTkzNzUgLTIuMDQ2ODc1ICIvPgo8L2c+\nCjxnIGlkPSJnbHlwaC0wLTkiPgo8cGF0aCBkPSJNIDEuNjQwNjI1IC0zLjkzNzUgTCAwLjM1OTM3\nNSAtMy44NDM3NSBMIDAuMzU5Mzc1IC0zLjU2MjUgQyAwLjkyMTg3NSAtMy41NjI1IDEuMDE1NjI1\nIC0zLjUxNTYyNSAxLjAxNTYyNSAtMy4wNzgxMjUgTCAxLjAxNTYyNSAtMC42ODc1IEMgMS4wMTU2\nMjUgLTAuMjgxMjUgMC45MDYyNSAtMC4yODEyNSAwLjMyODEyNSAtMC4yODEyNSBMIDAuMzI4MTI1\nIDAgQyAwLjcxODc1IC0wLjAxNTYyNSAwLjkwNjI1IC0wLjAzMTI1IDEuMjk2ODc1IC0wLjAzMTI1\nIEMgMS40NTMxMjUgLTAuMDMxMjUgMS44MTI1IC0wLjAzMTI1IDIuMjUgMCBMIDIuMjUgLTAuMjgx\nMjUgQyAxLjY3MTg3NSAtMC4yODEyNSAxLjY0MDYyNSAtMC4zMjgxMjUgMS42NDA2MjUgLTAuNjcx\nODc1IFogTSAxLjY3MTg3NSAtNS41IEMgMS42NzE4NzUgLTUuNzY1NjI1IDEuNDUzMTI1IC01Ljk4\nNDM3NSAxLjE4NzUgLTUuOTg0Mzc1IEMgMC45MDYyNSAtNS45ODQzNzUgMC43MDMxMjUgLTUuNzUg\nMC43MDMxMjUgLTUuNSBDIDAuNzAzMTI1IC01LjIzNDM3NSAwLjkwNjI1IC01LjAxNTYyNSAxLjE4\nNzUgLTUuMDE1NjI1IEMgMS40NTMxMjUgLTUuMDE1NjI1IDEuNjcxODc1IC01LjIzNDM3NSAxLjY3\nMTg3NSAtNS41IFogTSAxLjY3MTg3NSAtNS41ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTEwIj4K\nPHBhdGggZD0iTSAzLjI1IC0zLjUgQyAzLjA2MjUgLTMuNDY4NzUgMi44NzUgLTMuMzQzNzUgMi44\nNzUgLTMuMDkzNzUgQyAyLjg3NSAtMi44NTkzNzUgMy4wNjI1IC0yLjY3MTg3NSAzLjI5Njg3NSAt\nMi42NzE4NzUgQyAzLjUzMTI1IC0yLjY3MTg3NSAzLjcxODc1IC0yLjgyODEyNSAzLjcxODc1IC0z\nLjEwOTM3NSBDIDMuNzE4NzUgLTMuNjU2MjUgMy4wOTM3NSAtNCAyLjI5Njg3NSAtNCBDIDEuMTU2\nMjUgLTQgMC4yOTY4NzUgLTMuMDQ2ODc1IDAuMjk2ODc1IC0xLjkyMTg3NSBDIDAuMjk2ODc1IC0w\nLjc4MTI1IDEuMjM0Mzc1IDAuMDkzNzUgMi4yODEyNSAwLjA5Mzc1IEMgMy41MzEyNSAwLjA5Mzc1\nIDMuODEyNSAtMC45ODQzNzUgMy44MTI1IC0xLjA2MjUgQyAzLjgxMjUgLTEuMTcxODc1IDMuNzE4\nNzUgLTEuMTcxODc1IDMuNjg3NSAtMS4xNzE4NzUgQyAzLjU5Mzc1IC0xLjE3MTg3NSAzLjU5Mzc1\nIC0xLjE1NjI1IDMuNTMxMjUgLTEgQyAzLjMyODEyNSAtMC4zOTA2MjUgMi44MjgxMjUgLTAuMTU2\nMjUgMi4zNzUgLTAuMTU2MjUgQyAxLjc5Njg3NSAtMC4xNTYyNSAxLjA3ODEyNSAtMC42MDkzNzUg\nMS4wNzgxMjUgLTEuOTM3NSBDIDEuMDc4MTI1IC0zLjMyODEyNSAxLjc4MTI1IC0zLjc1IDIuMzEy\nNSAtMy43NSBDIDIuNDM3NSAtMy43NSAyLjkyMTg3NSAtMy43MzQzNzUgMy4yNSAtMy41IFogTSAz\nLjI1IC0zLjUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMTEiPgo8cGF0aCBkPSJNIDUuMzkwNjI1\nIC01LjUxNTYyNSBDIDUuMTA5Mzc1IC01Ljc5Njg3NSA0LjYwOTM3NSAtNi4yOTY4NzUgMy43MDMx\nMjUgLTYuMjk2ODc1IEMgMS45Njg3NSAtNi4yOTY4NzUgMC41MTU2MjUgLTQuODU5Mzc1IDAuNTE1\nNjI1IC0zLjA0Njg3NSBDIDAuNTE1NjI1IC0xLjIxODc1IDEuOTg0Mzc1IDAuMjAzMTI1IDMuNzAz\nMTI1IDAuMjAzMTI1IEMgNS4xODc1IDAuMjAzMTI1IDYuMTA5Mzc1IC0xLjAzMTI1IDYuMTA5Mzc1\nIC0yLjA2MjUgQyA2LjEwOTM3NSAtMi4xNTYyNSA2LjEwOTM3NSAtMi4yMzQzNzUgNS45ODQzNzUg\nLTIuMjM0Mzc1IEMgNS44NTkzNzUgLTIuMjM0Mzc1IDUuODU5Mzc1IC0yLjE3MTg3NSA1Ljg1OTM3\nNSAtMi4wOTM3NSBDIDUuNzgxMjUgLTAuNzM0Mzc1IDQuNzAzMTI1IC0wLjA3ODEyNSAzLjc5Njg3\nNSAtMC4wNzgxMjUgQyAzLjAzMTI1IC0wLjA3ODEyNSAxLjQyMTg3NSAtMC41NDY4NzUgMS40MjE4\nNzUgLTMuMDQ2ODc1IEMgMS40MjE4NzUgLTUuNTQ2ODc1IDMuMDQ2ODc1IC02LjAxNTYyNSAzLjc4\nMTI1IC02LjAxNTYyNSBDIDQuNjcxODc1IC02LjAxNTYyNSA1LjYwOTM3NSAtNS4zNDM3NSA1Ljgx\nMjUgLTMuOTA2MjUgQyA1LjgyODEyNSAtMy43ODEyNSA1Ljg0Mzc1IC0zLjczNDM3NSA1Ljk1MzEy\nNSAtMy43MzQzNzUgQyA2LjEwOTM3NSAtMy43MzQzNzUgNi4xMDkzNzUgLTMuNzgxMjUgNi4xMDkz\nNzUgLTMuOTY4NzUgTCA2LjEwOTM3NSAtNi4wNjI1IEMgNi4xMDkzNzUgLTYuMjAzMTI1IDYuMTA5\nMzc1IC02LjI5Njg3NSA2IC02LjI5Njg3NSBDIDUuOTM3NSAtNi4yOTY4NzUgNS45MDYyNSAtNi4y\nNjU2MjUgNS44NTkzNzUgLTYuMTg3NSBaIE0gNS4zOTA2MjUgLTUuNTE1NjI1ICIvPgo8L2c+Cjxn\nIGlkPSJnbHlwaC0wLTEyIj4KPHBhdGggZD0iTSA2LjYwOTM3NSAtMy4wMzEyNSBDIDYuNjA5Mzc1\nIC00Ljg0Mzc1IDUuMjM0Mzc1IC02LjI5Njg3NSAzLjU2MjUgLTYuMjk2ODc1IEMgMS44OTA2MjUg\nLTYuMjk2ODc1IDAuNTE1NjI1IC00LjgyODEyNSAwLjUxNTYyNSAtMy4wMzEyNSBDIDAuNTE1NjI1\nIC0xLjIxODc1IDEuOTA2MjUgMC4yMDMxMjUgMy41NjI1IDAuMjAzMTI1IEMgNS4yMTg3NSAwLjIw\nMzEyNSA2LjYwOTM3NSAtMS4yMTg3NSA2LjYwOTM3NSAtMy4wMzEyNSBaIE0gMy41NjI1IC0wLjA3\nODEyNSBDIDIuNjU2MjUgLTAuMDc4MTI1IDEuNDIxODc1IC0wLjg1OTM3NSAxLjQyMTg3NSAtMy4x\nNTYyNSBDIDEuNDIxODc1IC01LjMyODEyNSAyLjY4NzUgLTYuMDQ2ODc1IDMuNTYyNSAtNi4wNDY4\nNzUgQyA0LjQyMTg3NSAtNi4wNDY4NzUgNS43MDMxMjUgLTUuMzI4MTI1IDUuNzAzMTI1IC0zLjE1\nNjI1IEMgNS43MDMxMjUgLTAuODU5Mzc1IDQuNDUzMTI1IC0wLjA3ODEyNSAzLjU2MjUgLTAuMDc4\nMTI1IFogTSAzLjU2MjUgLTAuMDc4MTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTEzIj4KPHBh\ndGggZD0iTSA2LjEwOTM3NSAtNi4wNjI1IEMgNi4xMDkzNzUgLTYuMjAzMTI1IDYuMTA5Mzc1IC02\nLjI5Njg3NSA2IC02LjI5Njg3NSBDIDUuOTM3NSAtNi4yOTY4NzUgNS45MDYyNSAtNi4yNjU2MjUg\nNS44NTkzNzUgLTYuMTg3NSBMIDUuMzkwNjI1IC01LjUxNTYyNSBDIDUuMTA5Mzc1IC01Ljc5Njg3\nNSA0LjYwOTM3NSAtNi4yOTY4NzUgMy43MDMxMjUgLTYuMjk2ODc1IEMgMS45Njg3NSAtNi4yOTY4\nNzUgMC41MTU2MjUgLTQuODU5Mzc1IDAuNTE1NjI1IC0zLjA0Njg3NSBDIDAuNTE1NjI1IC0xLjIz\nNDM3NSAxLjk2ODc1IDAuMjAzMTI1IDMuNzE4NzUgMC4yMDMxMjUgQyA0LjU0Njg3NSAwLjIwMzEy\nNSA1LjE4NzUgLTAuMTI1IDUuNDM3NSAtMC41NjI1IEMgNS41OTM3NSAtMC4zMjgxMjUgNS45MjE4\nNzUgLTAuMDE1NjI1IDYgLTAuMDE1NjI1IEMgNi4xMDkzNzUgLTAuMDE1NjI1IDYuMTA5Mzc1IC0w\nLjA5Mzc1IDYuMTA5Mzc1IC0wLjIzNDM3NSBMIDYuMTA5Mzc1IC0xLjc2NTYyNSBDIDYuMTA5Mzc1\nIC0yLjEyNSA2LjE0MDYyNSAtMi4xNzE4NzUgNi43MzQzNzUgLTIuMTcxODc1IEwgNi43MzQzNzUg\nLTIuNDM3NSBDIDYuMTU2MjUgLTIuNDIxODc1IDYuMDYyNSAtMi40MjE4NzUgNS41NzgxMjUgLTIu\nNDIxODc1IEMgNS4yMzQzNzUgLTIuNDIxODc1IDQuNDY4NzUgLTIuNDIxODc1IDQuMTU2MjUgLTIu\nNDM3NSBMIDQuMTU2MjUgLTIuMTcxODc1IEwgNC40Mzc1IC0yLjE3MTg3NSBDIDUuMjY1NjI1IC0y\nLjE3MTg3NSA1LjI5Njg3NSAtMi4wNjI1IDUuMjk2ODc1IC0xLjczNDM3NSBMIDUuMjk2ODc1IC0x\nLjE3MTg3NSBDIDUuMjk2ODc1IC0wLjA3ODEyNSAzLjkzNzUgLTAuMDc4MTI1IDMuODI4MTI1IC0w\nLjA3ODEyNSBDIDMuMDkzNzUgLTAuMDc4MTI1IDEuNDIxODc1IC0wLjUxNTYyNSAxLjQyMTg3NSAt\nMy4wNDY4NzUgQyAxLjQyMTg3NSAtNS41NDY4NzUgMy4wNDY4NzUgLTYuMDE1NjI1IDMuNzgxMjUg\nLTYuMDE1NjI1IEMgNC42NzE4NzUgLTYuMDE1NjI1IDUuNjA5Mzc1IC01LjM0Mzc1IDUuODEyNSAt\nMy45MDYyNSBDIDUuODI4MTI1IC0zLjc4MTI1IDUuODQzNzUgLTMuNzM0Mzc1IDUuOTUzMTI1IC0z\nLjczNDM3NSBDIDYuMTA5Mzc1IC0zLjczNDM3NSA2LjEwOTM3NSAtMy43ODEyNSA2LjEwOTM3NSAt\nMy45Njg3NSBaIE0gNi4xMDkzNzUgLTYuMDYyNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xNCI+\nCjxwYXRoIGQ9Ik0gMS42NDA2MjUgLTYuMTg3NSBMIDAuMzI4MTI1IC02LjA5Mzc1IEwgMC4zMjgx\nMjUgLTUuODEyNSBDIDAuOTIxODc1IC01LjgxMjUgMS4wMTU2MjUgLTUuNzUgMS4wMTU2MjUgLTUu\nMzEyNSBMIDEuMDE1NjI1IC0wLjY4NzUgQyAxLjAxNTYyNSAtMC4yODEyNSAwLjkwNjI1IC0wLjI4\nMTI1IDAuMzI4MTI1IC0wLjI4MTI1IEwgMC4zMjgxMjUgMCBDIDAuNzM0Mzc1IC0wLjAxNTYyNSAw\nLjkwNjI1IC0wLjAzMTI1IDEuMzI4MTI1IC0wLjAzMTI1IEMgMS43MzQzNzUgLTAuMDMxMjUgMS44\nOTA2MjUgLTAuMDE1NjI1IDIuMzI4MTI1IDAgTCAyLjMyODEyNSAtMC4yODEyNSBDIDEuNzM0Mzc1\nIC0wLjI4MTI1IDEuNjQwNjI1IC0wLjI4MTI1IDEuNjQwNjI1IC0wLjY4NzUgWiBNIDEuNjQwNjI1\nIC02LjE4NzUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMTUiPgo8cGF0aCBkPSJNIDEuNjA5Mzc1\nIC0yLjg0Mzc1IEMgMS42MDkzNzUgLTMuMDE1NjI1IDEuNjA5Mzc1IC0zLjAzMTI1IDEuNzE4NzUg\nLTMuMTcxODc1IEMgMi4wMTU2MjUgLTMuNTc4MTI1IDIuNDUzMTI1IC0zLjcxODc1IDIuNzk2ODc1\nIC0zLjcxODc1IEMgMy4xNzE4NzUgLTMuNzE4NzUgMy41MzEyNSAtMy41IDMuNzY1NjI1IC0zLjEy\nNSBDIDQgLTIuNzUgNC4wMTU2MjUgLTIuMjE4NzUgNC4wMTU2MjUgLTEuOTM3NSBDIDQuMDE1NjI1\nIC0xLjUxNTYyNSAzLjk2ODc1IC0xLjA0Njg3NSAzLjczNDM3NSAtMC42ODc1IEMgMy41MzEyNSAt\nMC40MDYyNSAzLjE3MTg3NSAtMC4xMjUgMi42ODc1IC0wLjEyNSBDIDIuMjk2ODc1IC0wLjEyNSAx\nLjk1MzEyNSAtMC4zNDM3NSAxLjczNDM3NSAtMC42NzE4NzUgQyAxLjYwOTM3NSAtMC44NTkzNzUg\nMS42MDkzNzUgLTAuODU5Mzc1IDEuNjA5Mzc1IC0xLjAzMTI1IFogTSAxLjUzMTI1IC0wLjU0Njg3\nNSBDIDEuODEyNSAtMC4xNTYyNSAyLjI1IDAuMDkzNzUgMi43MzQzNzUgMC4wOTM3NSBDIDMuNzk2\nODc1IDAuMDkzNzUgNC43ODEyNSAtMC43NjU2MjUgNC43ODEyNSAtMS45MjE4NzUgQyA0Ljc4MTI1\nIC0zLjA0Njg3NSAzLjkwNjI1IC0zLjkzNzUgMi44MjgxMjUgLTMuOTM3NSBDIDIuMjE4NzUgLTMu\nOTM3NSAxLjc5Njg3NSAtMy42MjUgMS41OTM3NSAtMy4zOTA2MjUgTCAxLjU5Mzc1IC02LjE4NzUg\nTCAwLjI2NTYyNSAtNi4wOTM3NSBMIDAuMjY1NjI1IC01LjgxMjUgQyAwLjg3NSAtNS44MTI1IDAu\nOTUzMTI1IC01Ljc1IDAuOTUzMTI1IC01LjMxMjUgTCAwLjk1MzEyNSAwIEwgMS4yMDMxMjUgMCBa\nIE0gMS41MzEyNSAtMC41NDY4NzUgIi8+CjwvZz4KPGcgaWQ9ImdseXBoLTAtMTYiPgo8cGF0aCBk\nPSJNIDMuMDQ2ODc1IC0wLjY0MDYyNSBDIDMuMDkzNzUgLTAuMjY1NjI1IDMuMzU5Mzc1IDAuMDQ2\nODc1IDMuNzM0Mzc1IDAuMDQ2ODc1IEMgMy45Njg3NSAwLjA0Njg3NSA0LjUxNTYyNSAtMC4wNzgx\nMjUgNC41MTU2MjUgLTAuNzk2ODc1IEwgNC41MTU2MjUgLTEuMjk2ODc1IEwgNC4yODEyNSAtMS4y\nOTY4NzUgTCA0LjI4MTI1IC0wLjc5Njg3NSBDIDQuMjgxMjUgLTAuNzAzMTI1IDQuMjgxMjUgLTAu\nMjY1NjI1IDMuOTUzMTI1IC0wLjI2NTYyNSBDIDMuNjI1IC0wLjI2NTYyNSAzLjYyNSAtMC42ODc1\nIDMuNjI1IC0wLjgyODEyNSBMIDMuNjI1IC0yLjM5MDYyNSBDIDMuNjI1IC0yLjkwNjI1IDMuNjI1\nIC0zLjIwMzEyNSAzLjIzNDM3NSAtMy41NjI1IEMgMi45MDYyNSAtMy44NTkzNzUgMi40Njg3NSAt\nNCAyLjAzMTI1IC00IEMgMS4yODEyNSAtNCAwLjY1NjI1IC0zLjYyNSAwLjY1NjI1IC0zLjA0Njg3\nNSBDIDAuNjU2MjUgLTIuNzgxMjUgMC44NDM3NSAtMi42MjUgMS4wNzgxMjUgLTIuNjI1IEMgMS4z\nMTI1IC0yLjYyNSAxLjQ4NDM3NSAtMi43OTY4NzUgMS40ODQzNzUgLTMuMDMxMjUgQyAxLjQ4NDM3\nNSAtMy40MjE4NzUgMS4wOTM3NSAtMy40Njg3NSAxLjA3ODEyNSAtMy40Njg3NSBDIDEuMzI4MTI1\nIC0zLjY4NzUgMS43NSAtMy43ODEyNSAyIC0zLjc4MTI1IEMgMi40Njg3NSAtMy43ODEyNSAyLjk2\nODc1IC0zLjQzNzUgMi45Njg3NSAtMi42NTYyNSBMIDIuOTY4NzUgLTIuMzU5Mzc1IEMgMi40ODQz\nNzUgLTIuMzQzNzUgMS44MTI1IC0yLjI5Njg3NSAxLjIxODc1IC0yIEMgMC41NzgxMjUgLTEuNjg3\nNSAwLjM5MDYyNSAtMS4yMzQzNzUgMC4zOTA2MjUgLTAuODc1IEMgMC4zOTA2MjUgLTAuMTQwNjI1\nIDEuMjUgMC4wOTM3NSAxLjg0Mzc1IDAuMDkzNzUgQyAyLjU5Mzc1IDAuMDkzNzUgMi45MjE4NzUg\nLTAuMzkwNjI1IDMuMDQ2ODc1IC0wLjY0MDYyNSBaIE0gMi45Njg3NSAtMS4yNjU2MjUgQyAyLjk2\nODc1IC0wLjM5MDYyNSAyLjI5Njg3NSAtMC4xMjUgMS45MDYyNSAtMC4xMjUgQyAxLjQ4NDM3NSAt\nMC4xMjUgMS4wOTM3NSAtMC40MjE4NzUgMS4wOTM3NSAtMC44NzUgQyAxLjA5Mzc1IC0xLjQ2ODc1\nIDEuNjA5Mzc1IC0yLjA5Mzc1IDIuOTY4NzUgLTIuMTQwNjI1IFogTSAyLjk2ODc1IC0xLjI2NTYy\nNSAiLz4KPC9nPgo8ZyBpZD0iZ2x5cGgtMC0xNyI+CjxwYXRoIGQ9Ik0gMS42NTYyNSAtMi4zMTI1\nIEMgMS42NTYyNSAtMy4yNSAyLjMyODEyNSAtMy43MTg3NSAyLjg5MDYyNSAtMy43MTg3NSBDIDMu\nNDIxODc1IC0zLjcxODc1IDMuNTMxMjUgLTMuMjgxMjUgMy41MzEyNSAtMi43NSBMIDMuNTMxMjUg\nLTAuNjg3NSBDIDMuNTMxMjUgLTAuMjgxMjUgMy40Mzc1IC0wLjI4MTI1IDIuODQzNzUgLTAuMjgx\nMjUgTCAyLjg0Mzc1IDAgQyAzLjI2NTYyNSAtMC4wMTU2MjUgMy40Mzc1IC0wLjAzMTI1IDMuODU5\nMzc1IC0wLjAzMTI1IEMgNC4yOTY4NzUgLTAuMDMxMjUgNC40MDYyNSAtMC4wMTU2MjUgNC44NzUg\nMCBMIDQuODc1IC0wLjI4MTI1IEMgNC40MjE4NzUgLTAuMjgxMjUgNC4yMDMxMjUgLTAuMjgxMjUg\nNC4xODc1IC0wLjU0Njg3NSBMIDQuMTg3NSAtMi4yNjU2MjUgQyA0LjE4NzUgLTMgNC4xODc1IC0z\nLjI2NTYyNSAzLjkzNzUgLTMuNTc4MTI1IEMgMy43MzQzNzUgLTMuODI4MTI1IDMuNDA2MjUgLTMu\nOTM3NSAyLjk1MzEyNSAtMy45Mzc1IEMgMi4xMjUgLTMuOTM3NSAxLjczNDM3NSAtMy4zMjgxMjUg\nMS42MDkzNzUgLTMuMDc4MTI1IEwgMS42MDkzNzUgLTMuOTM3NSBMIDAuMzEyNSAtMy44NDM3NSBM\nIDAuMzEyNSAtMy41NjI1IEMgMC45MjE4NzUgLTMuNTYyNSAxIC0zLjUgMSAtMy4wNjI1IEwgMSAt\nMC42ODc1IEMgMSAtMC4yODEyNSAwLjkwNjI1IC0wLjI4MTI1IDAuMzEyNSAtMC4yODEyNSBMIDAu\nMzEyNSAwIEMgMC43MzQzNzUgLTAuMDE1NjI1IDAuOTA2MjUgLTAuMDMxMjUgMS4zMjgxMjUgLTAu\nMDMxMjUgQyAxLjc1IC0wLjAzMTI1IDEuODc1IC0wLjAxNTYyNSAyLjM0Mzc1IDAgTCAyLjM0Mzc1\nIC0wLjI4MTI1IEMgMS43NSAtMC4yODEyNSAxLjY1NjI1IC0wLjI4MTI1IDEuNjU2MjUgLTAuNjg3\nNSBaIE0gMS42NTYyNSAtMi4zMTI1ICIvPgo8L2c+CjxnIGlkPSJnbHlwaC0wLTE4Ij4KPHBhdGgg\nZD0iTSAzLjUzMTI1IC0xLjQ4NDM3NSBDIDMuNTMxMjUgLTAuNzAzMTI1IDMuMDkzNzUgLTAuMTI1\nIDIuNDM3NSAtMC4xMjUgQyAxLjcwMzEyNSAtMC4xMjUgMS42NTYyNSAtMC41MTU2MjUgMS42NTYy\nNSAtMC45ODQzNzUgTCAxLjY1NjI1IC0zLjkzNzUgTCAwLjMxMjUgLTMuODQzNzUgTCAwLjMxMjUg\nLTMuNTYyNSBDIDEgLTMuNTYyNSAxIC0zLjU0Njg3NSAxIC0yLjc1IEwgMSAtMS40MDYyNSBDIDEg\nLTAuODI4MTI1IDEgLTAuNDUzMTI1IDEuNDA2MjUgLTAuMTQwNjI1IEMgMS42NzE4NzUgMC4wMzEy\nNSAyLjAzMTI1IDAuMDkzNzUgMi4zOTA2MjUgMC4wOTM3NSBDIDIuODU5Mzc1IDAuMDkzNzUgMy4y\nOTY4NzUgLTAuMTA5Mzc1IDMuNTQ2ODc1IC0wLjY0MDYyNSBMIDMuNTYyNSAtMC42NDA2MjUgTCAz\nLjU2MjUgMC4wOTM3NSBMIDQuODc1IDAgTCA0Ljg3NSAtMC4yODEyNSBDIDQuMjgxMjUgLTAuMjgx\nMjUgNC4xODc1IC0wLjM0Mzc1IDQuMTg3NSAtMC43ODEyNSBMIDQuMTg3NSAtMy45Mzc1IEwgMi44\nNDM3NSAtMy44NDM3NSBMIDIuODQzNzUgLTMuNTYyNSBDIDMuNDUzMTI1IC0zLjU2MjUgMy41MzEy\nNSAtMy41IDMuNTMxMjUgLTMuMDYyNSBaIE0gMy41MzEyNSAtMS40ODQzNzUgIi8+CjwvZz4KPGcg\naWQ9ImdseXBoLTAtMTkiPgo8cGF0aCBkPSJNIDYuMjk2ODc1IC0yLjA0Njg3NSBDIDYuNDIxODc1\nIC0yLjA0Njg3NSA2LjYwOTM3NSAtMi4wNDY4NzUgNi42MDkzNzUgLTIuMjM0Mzc1IEMgNi42MDkz\nNzUgLTIuNDIxODc1IDYuNDM3NSAtMi40MjE4NzUgNi4yOTY4NzUgLTIuNDIxODc1IEwgMy43NSAt\nMi40MjE4NzUgTCAzLjc1IC00Ljk4NDM3NSBDIDMuNzUgLTUuMTI1IDMuNzUgLTUuMjk2ODc1IDMu\nNTYyNSAtNS4yOTY4NzUgQyAzLjM3NSAtNS4yOTY4NzUgMy4zNzUgLTUuMTA5Mzc1IDMuMzc1IC00\nLjk4NDM3NSBMIDMuMzc1IC0yLjQyMTg3NSBMIDAuODI4MTI1IC0yLjQyMTg3NSBDIDAuNzAzMTI1\nIC0yLjQyMTg3NSAwLjUxNTYyNSAtMi40MjE4NzUgMC41MTU2MjUgLTIuMjM0Mzc1IEMgMC41MTU2\nMjUgLTIuMDQ2ODc1IDAuNjcxODc1IC0yLjA0Njg3NSAwLjgyODEyNSAtMi4wNDY4NzUgTCAzLjM3\nNSAtMi4wNDY4NzUgTCAzLjM3NSAwLjUxNTYyNSBDIDMuMzc1IDAuNjU2MjUgMy4zNzUgMC44Mjgx\nMjUgMy41NjI1IDAuODI4MTI1IEMgMy43NSAwLjgyODEyNSAzLjc1IDAuNjQwNjI1IDMuNzUgMC41\nMTU2MjUgTCAzLjc1IC0yLjA0Njg3NSBaIE0gNi4yOTY4NzUgLTIuMDQ2ODc1ICIvPgo8L2c+Cjxn\nIGlkPSJnbHlwaC0xLTAiPgo8cGF0aCBkPSJNIDMuMjAzMTI1IC0xLjEwOTM3NSBMIDIuOTg0Mzc1\nIC0xLjEwOTM3NSBDIDIuOTY4NzUgLTEuMDMxMjUgMi45MDYyNSAtMC42NDA2MjUgMi44MjgxMjUg\nLTAuNTc4MTI1IEMgMi43ODEyNSAtMC41MzEyNSAyLjI5Njg3NSAtMC41MzEyNSAyLjIxODc1IC0w\nLjUzMTI1IEwgMS4wOTM3NSAtMC41MzEyNSBMIDEuODU5Mzc1IC0xLjE1NjI1IEMgMi4wNjI1IC0x\nLjMxMjUgMi41OTM3NSAtMS43MDMxMjUgMi43ODEyNSAtMS44NzUgQyAyLjk1MzEyNSAtMi4wNDY4\nNzUgMy4yMDMxMjUgLTIuMzU5Mzc1IDMuMjAzMTI1IC0yLjc4MTI1IEMgMy4yMDMxMjUgLTMuNTMx\nMjUgMi41MzEyNSAtMy45NTMxMjUgMS43MzQzNzUgLTMuOTUzMTI1IEMgMC45Njg3NSAtMy45NTMx\nMjUgMC40MjE4NzUgLTMuNDUzMTI1IDAuNDIxODc1IC0yLjg5MDYyNSBDIDAuNDIxODc1IC0yLjU5\nMzc1IDAuNjg3NSAtMi41NDY4NzUgMC43NSAtMi41NDY4NzUgQyAwLjkwNjI1IC0yLjU0Njg3NSAx\nLjA3ODEyNSAtMi42NTYyNSAxLjA3ODEyNSAtMi44NzUgQyAxLjA3ODEyNSAtMyAxIC0zLjIwMzEy\nNSAwLjczNDM3NSAtMy4yMDMxMjUgQyAwLjg3NSAtMy41IDEuMjM0Mzc1IC0zLjczNDM3NSAxLjY0\nMDYyNSAtMy43MzQzNzUgQyAyLjI2NTYyNSAtMy43MzQzNzUgMi41OTM3NSAtMy4yNjU2MjUgMi41\nOTM3NSAtMi43ODEyNSBDIDIuNTkzNzUgLTIuMzU5Mzc1IDIuMzI4MTI1IC0xLjkyMTg3NSAxLjkw\nNjI1IC0xLjU0Njg3NSBMIDAuNSAtMC4yNSBDIDAuNDM3NSAtMC4xODc1IDAuNDIxODc1IC0wLjE4\nNzUgMC40MjE4NzUgMCBMIDMuMDE1NjI1IDAgWiBNIDMuMjAzMTI1IC0xLjEwOTM3NSAiLz4KPC9n\nPgo8ZyBpZD0iZ2x5cGgtMi0wIj4KPHBhdGggZD0iTSA2LjAxNTYyNSAtMi4wNDY4NzUgQyA2LjE4\nNzUgLTIuMDQ2ODc1IDYuMzU5Mzc1IC0yLjA0Njg3NSA2LjM1OTM3NSAtMi4yMzQzNzUgQyA2LjM1\nOTM3NSAtMi40MjE4NzUgNi4xNzE4NzUgLTIuNDIxODc1IDYuMDE1NjI1IC0yLjQyMTg3NSBMIDEu\nMDkzNzUgLTIuNDIxODc1IEMgMC45NTMxMjUgLTIuNDIxODc1IDAuNzY1NjI1IC0yLjQyMTg3NSAw\nLjc2NTYyNSAtMi4yMzQzNzUgQyAwLjc2NTYyNSAtMi4wNDY4NzUgMC45Mzc1IC0yLjA0Njg3NSAx\nLjA5Mzc1IC0yLjA0Njg3NSBaIE0gNi4wMTU2MjUgLTIuMDQ2ODc1ICIvPgo8L2c+CjwvZz4KPC9k\nZWZzPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYig5NC45OTk2OTUlLCA5NC45\nOTk2OTUlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBzdHJva2Utd2lkdGg9IjAuMzk4NSIgc3Ry\nb2tlLWxpbmVjYXA9ImJ1dHQiIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAl\nLCAwJSwgMCUpIiBzdHJva2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJN\nIDQzLjA5NjUxOSA5NC4wMDc3NjUgTCAtNDMuMDkzODU2IDk0LjAwNzc2NSBDIC00NC43NDY3NTcg\nOTQuMDA3NzY1IC00Ni4wODU1NjggOTIuNjY4OTU0IC00Ni4wODU1NjggOTEuMDE5OTc5IEwgLTQ2\nLjA4NTU2OCA3OS4wNjA5ODEgQyAtNDYuMDg1NTY4IDc3LjQxMjAwNiAtNDQuNzQ2NzU3IDc2LjA3\nMzE5NSAtNDMuMDkzODU2IDc2LjA3MzE5NSBMIDQzLjA5NjUxOSA3Ni4wNzMxOTUgQyA0NC43NDU0\nOTQgNzYuMDczMTk1IDQ2LjA4NDMwNSA3Ny40MTIwMDYgNDYuMDg0MzA1IDc5LjA2MDk4MSBMIDQ2\nLjA4NDMwNSA5MS4wMTk5NzkgQyA0Ni4wODQzMDUgOTIuNjY4OTU0IDQ0Ljc0NTQ5NCA5NC4wMDc3\nNjUgNDMuMDk2NTE5IDk0LjAwNzc2NSBaIE0gNDMuMDk2NTE5IDk0LjAwNzc2NSAiIHRyYW5zZm9y\nbT0ibWF0cml4KDAuOTk0OTM2LCAwLCAwLCAtMC45OTQ5MzYsIDU0LjQ3NzE5MSwgMTA3LjEwOTgz\nNSkiLz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhs\naW5rOmhyZWY9IiNnbHlwaC0wLTAiIHg9IjE4Ljc1Njk5OSIgeT0iMjQuNzMxMTI0Ii8+CjwvZz4K\nPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhy\nZWY9IiNnbHlwaC0wLTEiIHg9IjI1LjM3MzciIHk9IjI0LjczMTEyNCIvPgo8dXNlIHhsaW5rOmhy\nZWY9IiNnbHlwaC0wLTIiIHg9IjI4LjkzOTQyMSIgeT0iMjQuNzMxMTI0Ii8+Cjx1c2UgeGxpbms6\naHJlZj0iI2dseXBoLTAtMyIgeD0iMzYuNTgwMjUzIiB5PSIyNC43MzExMjQiLz4KPHVzZSB4bGlu\nazpocmVmPSIjZ2x5cGgtMC00IiB4PSI0MS4xNjQ3NTIiIHk9IjI0LjczMTEyNCIvPgo8dXNlIHhs\naW5rOmhyZWY9IiNnbHlwaC0wLTUiIHg9IjQ0Ljc4MTMyMyIgeT0iMjQuNzMxMTI0Ii8+Cjx1c2Ug\neGxpbms6aHJlZj0iI2dseXBoLTAtNiIgeD0iNDkuODc1MjEiIHk9IjI0LjczMTEyNCIvPgo8dXNl\nIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTciIHg9IjU0Ljk2OTA5OCIgeT0iMjQuNzMxMTI0Ii8+Cjx1\nc2UgeGxpbms6aHJlZj0iI2dseXBoLTAtOCIgeD0iNTkuMDQ3Nzc3IiB5PSIyNC43MzExMjQiLz4K\nPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC05IiB4PSI2Mi42MzQwMTYiIHk9IjI0LjczMTEyNCIv\nPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEwIiB4PSI2NS4xODA5NiIgeT0iMjQuNzMxMTI0\nIi8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8dXNl\nIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTExIiB4PSI3Mi4zMTU5NzEiIHk9IjI0LjczMTEyNCIvPgo8\ndXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEyIiB4PSI3OC45MzgwMjUiIHk9IjI0LjczMTEyNCIv\nPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4\nbGluazpocmVmPSIjZ2x5cGgtMS0wIiB4PSI4Ni4wNjc0MDQiIHk9IjI1LjcyMjA4Ii8+CjwvZz4K\nPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoOTQuOTk5Njk1JSwgOTQuOTk5Njk1\nJSwgMTAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdpZHRoPSIwLjM5ODUiIHN0cm9rZS1s\naW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUs\nIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIxMCIgZD0iTSAyMTMu\nMTc2NTU0IDk5LjQ4NDcxOSBMIDEyNi45ODYxOCA5OS40ODQ3MTkgQyAxMjUuMzMzMjc4IDk5LjQ4\nNDcxOSAxMjMuOTk4MzkzIDk4LjE0OTgzNSAxMjMuOTk4MzkzIDk2LjQ5NjkzMyBMIDEyMy45OTgz\nOTMgNzMuNTg0MDI3IEMgMTIzLjk5ODM5MyA3MS45MzExMjYgMTI1LjMzMzI3OCA3MC41OTYyNDEg\nMTI2Ljk4NjE4IDcwLjU5NjI0MSBMIDIxMy4xNzY1NTQgNzAuNTk2MjQxIEMgMjE0LjgyNTUyOSA3\nMC41OTYyNDEgMjE2LjE2NDM0IDcxLjkzMTEyNiAyMTYuMTY0MzQgNzMuNTg0MDI3IEwgMjE2LjE2\nNDM0IDk2LjQ5NjkzMyBDIDIxNi4xNjQzNCA5OC4xNDk4MzUgMjE0LjgyNTUyOSA5OS40ODQ3MTkg\nMjEzLjE3NjU1NCA5OS40ODQ3MTkgWiBNIDIxMy4xNzY1NTQgOTkuNDg0NzE5ICIgdHJhbnNmb3Jt\nPSJtYXRyaXgoMC45OTQ5MzYsIDAsIDAsIC0wLjk5NDkzNiwgNTQuNDc3MTkxLCAxMDcuMTA5ODM1\nKSIvPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+Cjx1c2UgeGxp\nbms6aHJlZj0iI2dseXBoLTAtMTMiIHg9IjE5OC4xOTI3MTEiIHk9IjE5LjI3OTg3Ii8+Cjx1c2Ug\neGxpbms6aHJlZj0iI2dseXBoLTAtMTQiIHg9IjIwNS4zODc0OTMiIHk9IjE5LjI3OTg3Ii8+Cjx1\nc2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMyIgeD0iMjA3LjkzNDQzNyIgeT0iMTkuMjc5ODciLz4K\nPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNSIgeD0iMjEyLjUxODkzNiIgeT0iMTkuMjc5ODci\nLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNiIgeD0iMjE3LjYxMjgyMyIgeT0iMTkuMjc5\nODciLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNCIgeD0iMjIyLjE5NzMyMiIgeT0iMTku\nMjc5ODciLz4KPC9nPgo8ZyBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSI+\nCjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMiIgeD0iMjI3Ljc5NTI0NiIgeT0iMTkuMjc5ODci\nLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC03IiB4PSIyMzUuNDM2MDc4IiB5PSIxOS4yNzk4\nNyIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE2IiB4PSIyMzkuNTE0NzU2IiB5PSIxOS4y\nNzk4NyIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTE3IiB4PSIyNDQuMDk5MjU1IiB5PSIx\nOS4yNzk4NyIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIx\nIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xIiB4PSIxOTkuMDkxMTM4IiB5PSIzMC4xODIz\nNzgiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC03IiB4PSIyMDIuNjU2ODYiIHk9IjMwLjE4\nMjM3OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTIiIHg9IjIwNi43MzU1MzgiIHk9IjMw\nLjE4MjM3OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTUiIHg9IjIxNC4zNzYzNyIgeT0i\nMzAuMTgyMzc4Ii8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9\nIjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTciIHg9IjIxOS43Mjg5NjYiIHk9IjMwLjE4\nMjM3OCIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4K\nPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC04IiB4PSIyMjMuNzk4NzI0IiB5PSIzMC4xODIzNzgi\nLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNiIgeD0iMjI3LjM4NDk2MyIgeT0iMzAuMTgy\nMzc4Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMSIgeD0iMjMxLjk2OTQ2MiIgeT0iMzAu\nMTgyMzc4Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTgiIHg9IjIzNS41MzUxODQiIHk9\nIjMwLjE4MjM3OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTgiIHg9IjI0MC42MjkwNzEi\nIHk9IjMwLjE4MjM3OCIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTciIHg9IjI0NC4yMTUz\nMTEiIHk9IjMwLjE4MjM3OCIvPgo8L2c+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVybyIgZmlsbD0i\ncmdiKDk0Ljk5OTY5NSUsIDk0Ljk5OTY5NSUsIDEwMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9r\nZS13aWR0aD0iMC4zOTg1IiBzdHJva2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJt\naXRlciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2Ut\nbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0gMTI4LjEzNjUzNiA4LjU0MzcyNiBMIDQxLjk0NjE2MiA4LjU0\nMzcyNiBDIDQwLjI5MzI2MSA4LjU0MzcyNiAzOC45NTQ0NSA3LjIwNDkxNSAzOC45NTQ0NSA1LjU1\nNTkzOSBMIDM4Ljk1NDQ1IC01LjU1NTAxNCBDIDM4Ljk1NDQ1IC03LjIwMzk5IDQwLjI5MzI2MSAt\nOC41NDI4MDEgNDEuOTQ2MTYyIC04LjU0MjgwMSBMIDEyOC4xMzY1MzYgLTguNTQyODAxIEMgMTI5\nLjc4NTUxMiAtOC41NDI4MDEgMTMxLjEyNDMyMyAtNy4yMDM5OSAxMzEuMTI0MzIzIC01LjU1NTAx\nNCBMIDEzMS4xMjQzMjMgNS41NTU5MzkgQyAxMzEuMTI0MzIzIDcuMjA0OTE1IDEyOS43ODU1MTIg\nOC41NDM3MjYgMTI4LjEzNjUzNiA4LjU0MzcyNiBaIE0gMTI4LjEzNjUzNiA4LjU0MzcyNiAiIHRy\nYW5zZm9ybT0ibWF0cml4KDAuOTk0OTM2LCAwLCAwLCAtMC45OTQ5MzYsIDU0LjQ3NzE5MSwgMTA3\nLjEwOTgzNSkiLz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiPgo8\ndXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEyIiB4PSIxMTYuMTM1MzY1IiB5PSIxMDkuNjYxODQ2\nIi8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTAiIHg9IjEyMy4yNjY4MDciIHk9IjEwOS42\nNjE4NDYiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC03IiB4PSIxMjcuMzQxOTE3IiB5PSIx\nMDkuNjYxODQ2Ii8+Cjx1c2UgeGxpbms6aHJlZj0iI2dseXBoLTAtMTYiIHg9IjEzMS40MjA1OTYi\nIHk9IjEwOS42NjE4NDYiLz4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xNyIgeD0iMTM2LjAw\nNTA5NSIgeT0iMTA5LjY2MTg0NiIvPgo8L2c+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmls\nbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xMSIgeD0iMTQ0LjE0OTk2\nMyIgeT0iMTA5LjY2MTg0NiIvPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0wLTEyIiB4PSIxNTAu\nNzcyMDE2IiB5PSIxMDkuNjYxODQ2Ii8+CjwvZz4KPGcgZmlsbD0icmdiKDAlLCAwJSwgMCUpIiBm\naWxsLW9wYWNpdHk9IjEiPgo8dXNlIHhsaW5rOmhyZWY9IiNnbHlwaC0xLTAiIHg9IjE1Ny45MDY3\nNTgiIHk9IjExMC42NTI4MDIiLz4KPC9nPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2Utd2lkdGg9\nIjAuNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBz\ndHJva2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxp\nbWl0PSIxMCIgZD0iTSA0Ni4yODQ1MzggODUuMDQwNDggTCAxMTkuMTQ5NjIgODUuMDQwNDggIiB0\ncmFuc2Zvcm09Im1hdHJpeCgwLjk5NDkzNiwgMCwgMCwgLTAuOTk0OTM2LCA1NC40NzcxOTEsIDEw\nNy4xMDk4MzUpIi8+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDAlLCAwJSwg\nMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxpbmVj\nYXA9ImJ1dHQiIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwgMCUp\nIiBzdHJva2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJNIDYuMjM2Mjc4\nIDAuMDAwMDYwMDcxMSBMIDEuMjg1NDI2IDEuODY4ODk5IEwgMi45MjI2MjMgMC4wMDAwNjAwNzEx\nIEwgMS4yODU0MjYgLTEuODY4Nzc5IFogTSA2LjIzNjI3OCAwLjAwMDA2MDA3MTEgIiB0cmFuc2Zv\ncm09Im1hdHJpeCgwLjk5NDkzNiwgMCwgMCwgLTAuOTk0OTM2LCAxNzAuMzE0ODMzLCAyMi41MDAw\nNikiLz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoMTAwJSwgMTAwJSwgMTAw\nJSkiIGZpbGwtb3BhY2l0eT0iMSIgZD0iTSAxMzQuMDM1MTU2IDIyLjEwNTQ2OSBMIDE0NC4xNDA2\nMjUgMjIuMTA1NDY5IEwgMTQ0LjE0MDYyNSAxMy4wMTU2MjUgTCAxMzQuMDM1MTU2IDEzLjAxNTYy\nNSBaIE0gMTM0LjAzNTE1NiAyMi4xMDU0NjkgIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIg\nZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xOSIgeD0iMTM1LjUy\nMDY5OCIgeT0iMTkuNzkxMjY3Ii8+CjwvZz4KPHBhdGggZmlsbD0ibm9uZSIgc3Ryb2tlLXdpZHRo\nPSIwLjc5NzAxIiBzdHJva2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIg\nc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJs\naW1pdD0iMTAiIGQ9Ik0gMTU1LjQ0NjcxIDcwLjM5NjAwOCBMIDk3LjA2MTIwMiAxMi4wMjYyMDUg\nIiB0cmFuc2Zvcm09Im1hdHJpeCgwLjk5NDkzNiwgMCwgMCwgLTAuOTk0OTM2LCA1NC40NzcxOTEs\nIDEwNy4xMDk4MzUpIi8+CjxwYXRoIGZpbGwtcnVsZT0ibm9uemVybyIgZmlsbD0icmdiKDAlLCAw\nJSwgMCUpIiBmaWxsLW9wYWNpdHk9IjEiIHN0cm9rZS13aWR0aD0iMC43OTcwMSIgc3Ryb2tlLWxp\nbmVjYXA9ImJ1dHQiIHN0cm9rZS1saW5lam9pbj0ibWl0ZXIiIHN0cm9rZT0icmdiKDAlLCAwJSwg\nMCUpIiBzdHJva2Utb3BhY2l0eT0iMSIgc3Ryb2tlLW1pdGVybGltaXQ9IjEwIiBkPSJNIDYuMjM1\nNDIgLTAuMDAwNTIwOTY2IEwgMS4yODc5MDMgMS44Njk4ODIgTCAyLjkyMzM4NyAwLjAwMTc0MDAy\nIEwgMS4yODU3MDggLTEuODY5Njg4IFogTSA2LjIzNTQyIC0wLjAwMDUyMDk2NiAiIHRyYW5zZm9y\nbT0ibWF0cml4KC0wLjcwMzYyOSwgMC43MDM0MSwgMC43MDM0MSwgMC43MDM2MjksIDE1Mi45NjIw\nMDUsIDkzLjIyNzU5MykiLz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoMTAw\nJSwgMTAwJSwgMTAwJSkiIGZpbGwtb3BhY2l0eT0iMSIgZD0iTSAxNzguODUxNTYyIDcyLjI4NTE1\nNiBMIDE4OC45NTcwMzEgNzIuMjg1MTU2IEwgMTg4Ljk1NzAzMSA2My4xOTkyMTkgTCAxNzguODUx\nNTYyIDYzLjE5OTIxOSBaIE0gMTc4Ljg1MTU2MiA3Mi4yODUxNTYgIi8+CjxnIGZpbGw9InJnYigw\nJSwgMCUsIDAlKSIgZmlsbC1vcGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi0w\nIiB4PSIxODAuMzM4NTg1IiB5PSI2OS45NzE4NTkiLz4KPC9nPgo8cGF0aCBmaWxsPSJub25lIiBz\ndHJva2Utd2lkdGg9IjAuNzk3MDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpv\naW49Im1pdGVyIiBzdHJva2U9InJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0\ncm9rZS1taXRlcmxpbWl0PSIxMCIgZD0iTSA0LjI3NDkyNiA3NS44NzI5NjIgQyAxOC4xMDY2ODkg\nNDIuODY5ODk3IDM0LjQ5MDQzOCAyNS4xMzU1NTkgNjIuMTY5NjY4IDEwLjg3MTkyMiAiIHRyYW5z\nZm9ybT0ibWF0cml4KDAuOTk0OTM2LCAwLCAwLCAtMC45OTQ5MzYsIDU0LjQ3NzE5MSwgMTA3LjEw\nOTgzNSkiLz4KPHBhdGggZmlsbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoMCUsIDAlLCAwJSki\nIGZpbGwtb3BhY2l0eT0iMSIgc3Ryb2tlLXdpZHRoPSIwLjc5NzAxIiBzdHJva2UtbGluZWNhcD0i\nYnV0dCIgc3Ryb2tlLWxpbmVqb2luPSJtaXRlciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0\ncm9rZS1vcGFjaXR5PSIxIiBzdHJva2UtbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0gNi4yMzM3NzggLTAu\nMDAwNjY2OTE5IEwgMS4yODcwOTIgMS44NjcyNjkgTCAyLjkyMTg5NiAtMC4wMDIzNDAzNCBMIDEu\nMjg2OTE0IC0xLjg2OTU5OSBaIE0gNi4yMzM3NzggLTAuMDAwNjY2OTE5ICIgdHJhbnNmb3JtPSJt\nYXRyaXgoMC44ODQzNjksIDAuNDU1NzIsIDAuNDU1NzIsIC0wLjg4NDM2OSwgMTEzLjkyNDg0Niwg\nOTUuMDUzMDgxKSIvPgo8cGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigxMDAlLCAx\nMDAlLCAxMDAlKSIgZmlsbC1vcGFjaXR5PSIxIiBkPSJNIDcyLjM3NSA4MC42OTUzMTIgTCA4Mi40\nODA0NjkgODAuNjk1MzEyIEwgODIuNDgwNDY5IDcxLjYwOTM3NSBMIDcyLjM3NSA3MS42MDkzNzUg\nWiBNIDcyLjM3NSA4MC42OTUzMTIgIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1v\ncGFjaXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMC0xOSIgeD0iNzMuODYyNTI0IiB5\nPSI3OC4zODQwNDMiLz4KPC9nPgo8cGF0aCBmaWxsPSJub25lIiBzdHJva2Utd2lkdGg9IjAuNzk3\nMDEiIHN0cm9rZS1saW5lY2FwPSJidXR0IiBzdHJva2UtbGluZWpvaW49Im1pdGVyIiBzdHJva2U9\nInJnYigwJSwgMCUsIDAlKSIgc3Ryb2tlLW9wYWNpdHk9IjEiIHN0cm9rZS1taXRlcmxpbWl0PSIx\nMCIgZD0iTSA4MC45NjQwNjEgOC43NDM5NTggQyA2Ny4zOTUzNDkgNDEuNjUyNzk2IDUxLjE5NjEy\nOSA1OS4zODcxMzQgMjMuNzY0MjQ1IDczLjcyMTQ0MiAiIHRyYW5zZm9ybT0ibWF0cml4KDAuOTk0\nOTM2LCAwLCAwLCAtMC45OTQ5MzYsIDU0LjQ3NzE5MSwgMTA3LjEwOTgzNSkiLz4KPHBhdGggZmls\nbC1ydWxlPSJub256ZXJvIiBmaWxsPSJyZ2IoMCUsIDAlLCAwJSkiIGZpbGwtb3BhY2l0eT0iMSIg\nc3Ryb2tlLXdpZHRoPSIwLjc5NzAxIiBzdHJva2UtbGluZWNhcD0iYnV0dCIgc3Ryb2tlLWxpbmVq\nb2luPSJtaXRlciIgc3Ryb2tlPSJyZ2IoMCUsIDAlLCAwJSkiIHN0cm9rZS1vcGFjaXR5PSIxIiBz\ndHJva2UtbWl0ZXJsaW1pdD0iMTAiIGQ9Ik0gNi4yMzc1MDMgLTAuMDAwODAzMjc1IEwgMS4yODY2\nMjkgMS44Njg2OTkgTCAyLjkyMzUyNyAtMC4wMDA0NDY4MTYgTCAxLjI4Njg2IC0xLjg3MDI2OSBa\nIE0gNi4yMzc1MDMgLTAuMDAwODAzMjc1ICIgdHJhbnNmb3JtPSJtYXRyaXgoLTAuODgxNzMyLCAt\nMC40NjA3ODUsIC0wLjQ2MDc4NSwgMC44ODE3MzIsIDgwLjUyMjg3NCwgMzUuMDE1NDc5KSIvPgo8\ncGF0aCBmaWxsLXJ1bGU9Im5vbnplcm8iIGZpbGw9InJnYigxMDAlLCAxMDAlLCAxMDAlKSIgZmls\nbC1vcGFjaXR5PSIxIiBkPSJNIDExMS42MzI4MTIgNTguNDkyMTg4IEwgMTIxLjczODI4MSA1OC40\nOTIxODggTCAxMjEuNzM4MjgxIDQ5LjQwNjI1IEwgMTExLjYzMjgxMiA0OS40MDYyNSBaIE0gMTEx\nLjYzMjgxMiA1OC40OTIxODggIi8+CjxnIGZpbGw9InJnYigwJSwgMCUsIDAlKSIgZmlsbC1vcGFj\naXR5PSIxIj4KPHVzZSB4bGluazpocmVmPSIjZ2x5cGgtMi0wIiB4PSIxMTMuMTE4NzE5IiB5PSI1\nNi4xODAwNTYiLz4KPC9nPgo8L3N2Zz4K\n"
        }
      },
      "id": "c26fd01a-367d-40cf-b8b4-9f04165d1421"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## References\n",
        "\n",
        "List any external references consulted, including classmates."
      ],
      "id": "1cec816f-bed7-48cf-a503-4229b5e39b59"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernel_info": {
      "name": "julia"
    },
    "kernelspec": {
      "name": "julia",
      "display_name": "Julia",
      "language": "julia"
    },
    "language_info": {
      "name": "julia",
      "codemirror_mode": "julia",
      "version": "1.11.5"
    }
  }
}