{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QPower2 model\n", "\n", "The qpower2 model, `pytransit.QPower2Model`, implements a transit over a stellar disk with the stellar limb darkening described using the qpower2 limb darkening model as described by Maxted & Gill (A&A 622, 2019). The model is parallelised using numba, and the number of threads can be set using the `NUMBA_NUM_THREADS` environment variable. An OpenCL version for GPU computation is implemented by `pytransit.QPower2ModelCL`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "sys.path.append('..')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "from pytransit import QPower2Model" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "seed(0)\n", "\n", "times_sc = linspace(0.85, 1.15, 1000) # Short cadence time stamps\n", "times_lc = linspace(0.85, 1.15, 100) # Long cadence time stamps\n", "\n", "k, t0, p, a, i, e, w = 0.1, 1., 2.1, 3.2, 0.5*pi, 0.3, 0.4*pi\n", "pvp = tile([k, t0, p, a, i, e, w], (50,1))\n", "pvp[1:,0] += normal(0.0, 0.005, size=pvp.shape[0]-1)\n", "pvp[1:,1] += normal(0.0, 0.02, size=pvp.shape[0]-1)\n", "\n", "ldc = stack([normal(0.3, 0.05, pvp.shape[0]), normal(0.1, 0.02, pvp.shape[0])], 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model initialization\n", "\n", "The qpower2 model doesn't take any special initialization arguments, so the initialization is straightforward. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "tm = QPower2Model()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data setup\n", "### Homogeneous time series\n", "\n", "The model needs to be set up by calling `set_data()` before it can be used. At its simplest, `set_data` takes the mid-exposure times of the time series to be modelled." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "tm.set_data(times_sc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model use\n", "\n", "**Evaluation**\n", "The transit model can be evaluated using either a set of scalar parameters, a parameter vector (1D ndarray), or a parameter vector array (2D ndarray). The model flux is returned as a 1D ndarray in the first two cases, and a 2D ndarray in the last (one model per parameter vector).\n", "\n", " - `tm.evaluate_ps(k, ldc, t0, p, a, i, e=0, w=0)` evaluates the model for a set of scalar parameters, where `k` is the radius ratio, `ldc` is the limb darkening coefficient vector, `t0` the zero epoch, `p` the orbital period, `a` the semi-major axis divided by the stellar radius, `i` the inclination in radians, `e` the eccentricity, and `w` the argument of periastron. Eccentricity and argument of periastron are optional, and omitting them defaults to a circular orbit. \n", " - `tm.evaluate_pv(pv, ldc)` evaluates the model for a 1D parameter vector, or 2D array of parameter vectors. In the first case, the parameter vector should be array-like with elements `[k, t0, p, a, i, e, w]`. In the second case, the parameter vectors should be stored in a 2d ndarray with shape `(npv, 7)` as \n", "\n", "\n", " [[k1, t01, p1, a1, i1, e1, w1],\n", " [k2, t02, p2, a2, i2, e2, w2],\n", " ...\n", " [kn, t0n, pn, an, in, en, wn]]\n", " \n", "The reason for the different options is that the model implementations may have optimisations that make the model evaluation for a set of parameter vectors much faster than if computing them separately. This is especially the case for the OpenCL models.\n", "\n", "*Note:* PyTransit uses always a 2D parameter vector array under the hood, and the scalar evaluation method just packs the parameters into an array before model evaluation.\n", "\n", "**Limb darkening**\n", "The quadratic limb darkening coefficients are given either as a 1D or 2D array, depending on whether the model is evaluated for a single set of parameters or an array of parameter vectors. In the first case, the coefficients can be given as `[u, v]`, and in the second, as `[[u1, v1], [u2, v2], ... [un, vn]]`. \n", "\n", "In the case of a heterogeneous time series with multiple passbands (more details below), the coefficients are given for a single parameter set as a 1D array with a length $2n_{pb}$ (`[u1, v1, u2, v2, ... un, vn]`, where the index now marks the passband), and for a parameter vector array as a 2D array with a shape `(npv, 2*npb)`, as\n", "\n", " [[u11, v11, u12, v12, ... u1n, v1n], \n", " [u21, v21, u22, v22, ... u2n, v2n], \n", " ...\n", " [un1, vn1, un2, vn2, ... unn, vnn]]\n", " " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def plot_transits(tm, ldc, fmt='k'):\n", " fig, axs = subplots(1, 3, figsize = (13,3), constrained_layout=True, sharey=True)\n", "\n", " flux = tm.evaluate_ps(k, ldc[0], t0, p, a, i, e, w)\n", " axs[0].plot(tm.time, flux, fmt)\n", " axs[0].set_title('Individual parameters')\n", "\n", " flux = tm.evaluate_pv(pvp[0], ldc[0])\n", " axs[1].plot(tm.time, flux, fmt)\n", " axs[1].set_title('Parameter vector')\n", "\n", " flux = tm.evaluate_pv(pvp, ldc)\n", " axs[2].plot(tm.time, flux.T, 'k', alpha=0.2);\n", " axs[2].set_title('Parameter vector array')\n", "\n", " setp(axs[0], ylabel='Normalised flux')\n", " setp(axs, xlabel='Time [days]', xlim=tm.time[[0,-1]])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_sc)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supersampling\n", "\n", "The transit model can be supersampled by setting the `nsamples` and `exptimes` arguments in `set_data`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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dd/Dggw+SSqUGPZwNQXjOWm+0Wq2zbq9Wq/7nsNDVRywWI5lMEgSB3y8IAtLpNNARofF4nGg06sVsJpNh79695HI5UqmUnw/Hx8fJ5/MAXph84xvf4Nprr+Waa65heHh4tU/fOE9arRbT09PMzs7y+OOPs7i4yMLCAq1Wi0jkVBJru93m61//OsePH6darfr/+xYXFymVSl6UNptNL2L1/0l9AJtelF4Igxaw/e5m3EU8f/qTzv0+8PsAN998s9sI9u7FYpFXv/rV3H333cTjce68885BD8nYhPzZn/0Z3//938/OnTv57Gc/y3XXXTfoIa0agxRYG3HOcs7xEz/xE/zqr/4qiUSCt73tbYMekrEJefDBB7n99ttZXl7mb/7mb/j2b//2QQ9p1diIc1az2aRYLHLs2DGOHj3K0NAQ8/PzpNNp9u3bx8TEBIVCgampKb74xS8yNDTExMQE8Xic8fFxSqUSn/rUpyiXy2zdupW9e/dy6NAhjh07xs0338zWrVuZm5vjkUce4bHHHuOVr3wlu3fvplQqcfDgQZ588kk+8pGPICLMzc0xOTnJrbfeShAEPPXUUzz88MOUSiVe+tKXcuDAAa6//noWFhb4/Oc/z969e7npppv42te+xuLiIrVajXq9Tq1WY35+noMHDzI8PMy2bdvYsmULhw8f9u+ri8G1Wo0vfelLfttNN93kBa5xeTlx4gSzs7MUi0Xi8TgHDhxgbGyMXbt2rfhMHnjgAWq1Gi960Yt45jOfSS6XY3p6mi9/+cuMj4/zyle+kq985SscPnyYXC5HPp8nnU7zyCOPMD09zTXXXEMikUBE2L59O41GgyeffJKvfvWr5PN5Xvayl3H8+HFSqRTOOb7whS8QBAHDw8O85CUv4Tu+4zv45je/yUMPPcTw8DCJRIJIJEKxWOTIkSPs2rWLUqnE4cOHSafT7Nmzhxe96EWk02lmZmb8sXfv3k02m+XRRx+lUqmwc+dOjh49SqvVYnx8nPHxcZLJ5CX9TVdrzhq0C/EMsCv0+07g6Dme39nn+U1BNpvl3nvv5eabb+b1r389n/vc5wY9JGOTMTU1xd13383znvc8vvCFL2wo8WqsPiLCe97zHn7kR36Et7/97bz73e8e9JCMTYZzjrvuuotIJMLnP//5DSVeNyrRaJTh4WH27NnD8PAwW7duZcuWLQAcPXqUQqHAyMgI+/fv5+DBg+TzeQqFAplMhlKpRD6f541vfCM7duxgZmaGyclJXvSiFzE8PEy1WmV5eZkXvOAF3HnnnaRSKR555BHGx8dJJBLMzs5yww038LrXvY7R0VGSySTOOZ544gmSySQvfelLufbaa0kmk8zOzvLYY49RKBTYu3cv1113HU8++STHjh3jOc95Drt376bVajE5OckznvEMnHMUCgXy+Tyzs7NEo1H27t2LiHD48GEffUskErzgBS/ghhtu4NixY0xPT5/tz2WsEc45Tp48SaVSIZvNMjIywo4dO7jhhhtWiNfp6Wm++MUvEovFuOWWW7jllluYn59namqKHTt28JKXvIR8Ps/x48eZnJzklltuIR6PU6vVaLfbbNmyhW/5lm9hy5YtbNu2jRe/+MWcOHGCEydOsHPnTp7znOcQjUYZGxsjlUpRr9dxzjE5Ocndd9/NHXfcQaFQYGZmhnQ6zTOe8QyGhoZ8lsDo6ChbtmzBOUc0GuWFL3whr3jFK0in0z41emRkhAMHDpDNZikUChQKBbZt20Y6naZer7N9+3Z27tx5yeJ1NRm0gP0E8KauG/ELgCXn3DHg74BXichI17zpVcDfdbcVROQFXffhNwF/ObDRD4B8Ps8nP/lJhoaGeO973zvo4RibjI997GO0223e9773MT4+PujhGOuASCTCe9/7Xm699Vbe/e53W4qUcVm5//77efLJJ3nHO97BjTfeOOjhGBdAOp1meHiYubk5crkc6XSaVCrFk08+SbvdJp1Os23bNjKZDEEQMD8/z/bt21leXmZkZITnPe95RCIRnnjiCbZu3cru3bupVqucPHmS48ePs2fPHm655RZOnjzJoUOHGB4eRkSYmZnhxS9+Mc961rOIRCJEIhEWFhY4evQo+/btY//+/WzZsoVKpeIFZqvV4sYbb2R0dJSvfe1rVCoVrrrqKsbHxykWi8RiMa6++mrm5uZYWFig2WyysLBAPB5nz549lEoljh075s89Go1y7bXXMjQ0xPT0NI1GY4CfxOZkfn6e5eVl2u02iUSCXC7HxMTEin0qlQpf/vKXqVarXHvttezcuZNSqcRDDz1ELpfj4MGDbNmyhccee4xGo8HY2BitVotarUYQBDSbTbZv304mk6HVarFnzx6OHz/ur/H9+/eTzWbJ5/Mkk0kWFxepVCokk0me+cxn8qxnPctfs9VqlW3btpFKpSiXy1SrVcrlMmNjY1SrVebn59myZQv79+/36c+Li4teRGtk9MiRI8TjcSYmJjhx4gSRSISxsbHL/vc/F2vdRufDwH3AdSIyIyI/JCI/JiI/1t3lXuAJ4DHgD4D/BNA1b3ob8KXu461q6AT8OPCH3dc8zjkMnDYiQ0ND3Hbbbdx77700m81BD8fYRNxzzz0885nPZP/+/YMeirGOiEQivOENb+Dw4cM89NBDgx6OsYm45557iEaj3H777YMeinER7Nixw9cLOudIJpO0222KxSKAF7DRaJRisehvwhcXF9m3bx8jIyMcOXKEcrnM5OQksViMWq3G008/TRAEPOtZz2JkZIQvf/nLFItFEokEzjmWlpZ47nOf6yOzjUaDJ554gtnZWS9Mo9EolUqF48ePMzc3Rzwe56abbqJcLjM1NeWjX+12m2q1ytatW0kmkzz11FNEIhFOnDgBwMjICCMjI5w4cWLFAl80GmXXrl0sLy8zNzd3+f/4m5wTJ07QaDTI5XIkEglisdhpqdxaGzsyMsKePXsYGxtjenqaarXKxMQEuVyOer3OzMwMmUzG10gDnDx5EhHhwIEDVCoV2u0227dv55vf/CZLS0sMDw9z1VVXAZ0MTBWblUqFfD7PgQMHCIKA2dlZn4EwOjrqfw+CgGQySavVolwuE41G/XdA0es2m80C+Jrd7du345xjfn6e0dFRotFBV5yezpoKWOfc9zjntjvnYs65nc65P3LOvdc5997uduec+8/OuX3OuWc65+4PvfZ9zrlruo8/Dj1/v3PuGd3X/ITbpMv5t99+OwsLC9x3332DHoqxSThx4gSf+9zn+M7v/M5BD8VYh9x2220A/PVf//WAR2JsFpxz3HPPPdx6662Mjo4OejjGRZBKpRgZGaFQKBCNRqnVaogIy8vLQOfGPpvNIiI0m00WFxfJZrMsLS0xNDTE5OQk1WqVxcVFxsfHicfjQCe6trCwwOjoKDfeeCPFYpGZmRnq9TqRSITl5WUvSJxzxONxlpaWmJqa8sdNJBLUajXm5ua8GN26dSvZbNZHU0dGRkilUjQaDdrtNpOTk9TrdZaXlymVSpTLZb+fCo0wW7duJQgCZmZmMC4fhUKBcrnsXaeLxSJjY2On1W9OTU1Rq9XYvn07Q0NDQKdDQzKZJJ1O+4WJYrFILpcjl8vRaDQol8ssLS2xY8cOstksTz/9NKOjo9Trdaanp2m321xzzTWICPF4nHK5TKPRoFar+bT0nTs7FZXHjx/HOUc2m2V4eJiFhQUf3U2n04iI/97s3bvXj73RaLC8vLwiunr06FGSySRjY2PMzc3RbrdPizpfKQw6hdi4SF71qlcRi8X4q7/6q0EPxdgkfOITn6DdbnPXXXcNeijGOmTnzp3cdNNNNmcZl42HH36YRx991Oasdc62bdtot9v+Rj4Wi3kBq9tVmKozfrlcptlscv3119NsNjl58iSZTIaJiQlKpRK1Wo2TJ08yNDTkDXSmpqaAjolUoVDwN/z63o1Gg8OHD5PP59mxY4d/n3K5TKlUYmlpCRFh69atLC4uUq1WGRkZIZPJ+G4SuVzOC/FIJMLJkycBfASsUCisOPfh4WGfRt27zVg7dEEiGo36tjW9abTOOaanp4nFYuRyOUZHR5mfn2dubo4gCMjn86RSKebn5xERxsfHicVizM7OsrS0RCQS4aqrrqLRaFAoFNi1axdHjx5leXmZZDLJli1b/HVYq9VoNpve4VjdrNUgTLMTVODGYjHfpicajbKwsMDQ0NCKhTyN6ut51Wo1KpUKExMTiIj/zoSjxlcSJmDXKepKZtEM43Jxzz33cPXVV1sdmXHR3H777dx3333Mzs4OeijGJuCee+5BRHjta1876KEYl0AqlfJtaUSEVqtFpVLxfTjz+TyZTIZYLEapVPItcpaWlti9ezeZTIbjx49TLpfZtWuXj04tLy/76OrIyAjz8/Mkk0nfi7NYLLJ//34SiYRvl3P8+HGWlpbIZDJs376dSCRCrVajVCr5eW3btm3UajUWFhZIpVIkEgmazaYXQ9FolKWlJf+eKjhSqdRpIjUWi7Fjxw6KxaLNm5eJdrvN0tKSd/Kt1+tkMpnTDIy032symSSRSDA6OsqJEyeoVqtks1kfUdX04Xw+T6vVolQqUalUGB4eJp/P+2NoJLZcLjM+Pk46naZSqRCLxXyPWE0f3rVrl3cZ1pY9IyMjp6WaJ5NJlpeXaTabTE5O+oUe6AjYbDbr3a9LpRIAuVyOYrHo06CvVEzArmNuv/12Hn74YR5//PFBD8XY4CwtLfEP//AP3HXXXdbL07ho7rjjDtrtNp/85CcHPRRjE3DPPffwwhe+kO3btw96KMYlICJkMhnq9TpDQ0NeuGoUVkTI5/O+tq9cLvuU3+HhYXbs2MHy8jKzs7NMTEyQzWap1+s+ajo0NMTY2BilUolGo0E8HqdSqbC8vMy1115LPB6n3W4TBIFv3zM0NOTTm5eXlykWi14AjI6OEo/HV6QRa5/PeDzu63CDIKDdbp8mHHor40ZHR0kkEqfVyBprQ6VS8T1a9VrrZ1o5Pz9PqVTy4rRWqzE7O0skEmFoaIhMJsPCwgLFYpHR0VFisRiLi4veu2Z4eNh//pqefOzYMer1OiMjIzQaDaLRKJFIxKcdiwgjIyNMTk4CHdGptdvqIJxIJFheXiaVSvlshVgsxrZt2/zY1eQpHJEtFou+blavSU2LvhIxAbuOUVMKi8Iaa83f/M3f0Gg0rP7VuCSe+9znsm3bNksjNtacw4cP8+CDD9qctUHIZDK+nYlGQ8NpxOl0miAIvLGSRp5EhH379tFsNpmbm0NEGBoa8vWmxWLRt+pptVrMzMwQiUSIRqMsLy+Ty+XYunWrN8nRffL5vBfNjUaDhYUF6vU6jUaDTCZDNpvlxIkTtNtt35ezUCgQj8fJ5XJUq1VvRBUWsGFBq2gdrfaVNdYW/fs3m02CIPALJL0cO3aMRqNBPp9ndHSUpaUlZmdnicViTExMkEqlVhh1tdttb8SkizLtdptGo8GOHTs4efKkr/UeHh6mVqsRi8VoNptUKhUA6vU6W7ZsYWRkBMBHYPXahI5pYqvV8qK6XC77elxFI/3h54rFIplMBhHxi0BXonmTYgJ2HbNv3z4OHDhgAtZYcz7+8Y+zbds2XvCCFwx6KMY6JhKJcNttt/HJT37S2kIYa8pf/mWnw54J2I2B1pEqGlnS5zKZDKlUCjgVgdU04MnJSV+L2Gg0vGFSo9GgVCqRTqfZunUrIuJrGlUINxoNrrrqKm/upC11NK00Ho8Tj8cplUr+EYlE2LJli4+OaR1hvV4nCAJyuRzNZtOnLKtxUy6XA06vg9UU52Kx6IWMsXaUy2XvfB2NRgmCYEXqLUCr1eLIkSNebGazWcrlsq9f1XTjhYUFn2Jcr9epVqu+hY0KWOcco6OjPvqqxyyXy2SzWR8RrlarxONxX/Ot6cjQuXYqlQoiQr1eR0SIRqMUCgVarZZfRAmfY1igalp+JpPx26/U2lfFBOw65/bbb+czn/nMipVIw1ht/u3f/o2Xv/zlfuI1jIvl9ttvZ3l5mc9+9rODHoqxgfniF7/Inj172Ldv36CHYqwCemOtqbixWGzFDbz2iIVOBC0IAiKRCIuLi15gFAoFCoUCo6OjpFIpHwXV1OTh4WGOHTvmI7nQiT3xz80AACAASURBVPIeOHCAVCrlnVw10pbP50mn00QiES9IdTxbt2717sdwSpxWq1VSqRSZTIbZ2VnS6bQXsEEQkE6n+97P6fE0amusHeVy2V9n0Wi0r5ArFAosLCyQTqfJZDIkEgkWFhaoVqvevEk/r2w26yOtunASi8VIp9M0m03i8bhfGNEaV12wEZHTXqepwKVSiXq9TiqV8r1ftWZXvx/VahUROc2AqlKp+O+LHgvwY9Xr9ErG7kbXOS9/+ctpNBp85StfGfRQjA1KsVjkqaee4oYbbhj0UIwNwMtf/nIAvvSlLw14JMZG5tChQzZnbSBisZivTU0mk34xVcVeMpn0kTJtN5LNZimVSsTjcYaHh2k0Gr4uViNqKhpSqRQTExMsLi7SaDR89G15eZnt27eTz+d91kixWPTpxeoqrM7FKka1Rvbpp58G8PWI1WrVC9VSqeQjZnrsXC5HqVTyAkpJp9PE43EviI21QcVbq9XyUc5+Qm5xcZFisUg+n/cR9RMnTvgIezqd9hFzFYWVSoVoNEqpVCKVShGPx6nX617ILi8v+xR0bZ+jBk16rWSzWV+Pq4svYQEbFp/h9xweHvZj12huPwGrqfqARWCNteXgwYMAPPTQQwMeibFR0WvLbgaN1WBoaIgdO3bYnGWsGc1mk2984xs2Z20wVJBqX1UVgdAxctI6WO0Tq1Ew55xvxaMmN4lEgna7Tblc9qJ469atNBoNb5YUj8cpFApEIhEmJia8kVOj0fDpv0NDQ0SjUZ8eGhYCmUyG+fl5ms0myWTSR3Gdc2QyGd8WBfDCN5/P45w7LdKaSqVIJpMsLCxcxr/45iNs4KTXSD8h9/TTT/s61lQqRaVSYXFxkXg87qOyhUKBZrPpU3e1RlVdihOJBKVSiaGhIYrFIouLi75Gu9Fo+EWacrnsU+XHx8e98CwWi4iIr9nWSG2r1SKZTNJsNv3PYbGq34nwc8VikVQqRRAE/lo0AWusKbt27SKdTvPwww8PeijGBsUErLHaHDhwwOYsY814/PHHqdfrNmdtMNSJWF18NaKppNNpWq0WiUSCYrFILBbzTrITExNEIhFfN5vP52k2mzQaDS92t23bRiQSYWZmxh9TRcHo6KgXta1Wi5MnT3oBq215arWafwRBwOjoqHd71XY6erx8Pk+73fYRZBUN2WwWETmtDjaRSJBMJr1pj7E2qBN1LBbzHRd6I7DOOWZnZ3HOkcvlvIBVEahO08vLy15carslTQUeGRnBOUetVmN4eJiFhQWazSbNZpOxsTFqtZpv6aSLHu12m/HxcaLRKM45X2+dSCT896DVannhq9d+r4DtFah6LO1FXC6XiUajp9X9XmmYgF3nRCIRrr/+ersZNNaMQ4cOkUgkuPrqqwc9FGODcODAAR555BFrCWGsCYcOHQJs0W2j0VsHC/ierbo9Go36tFydX7RdSCwW8wY9ekOvUVkVo5lMhhMnTtBsNle8fnx83N/Qt9tt379VI63QEbvhKOzY2BiVSmWFYY6I+OheLBbzJj8qKnoFiaLtU9RV1lgb9PrQxQ8ROU3A1ut15ufnSSQSvva6XC570Qn4xQkVs7rootHP4eFh6vU6zWaT4eFhZmdnqVQqJBIJv03TjbXGOhaLeddgTRcOgsAL6Gaz6SOyALVajUgkQjqd9i2mAG/2pJFhTZkOC9grvf4VTMBuCA4ePGgC1lgzDh06xPXXX+9bFxjGpXLw4EEKhQJHjhwZ9FCMDYgK2Ouvv37AIzFWk3Q67QUgnBKyKvbCN+q9AjabzfqU41KpxMjIiDfIUVERjUYZGxtjbm6OSCSy4vVbt24lmUx6Y51SqcTi4iKpVMpHslqtFsVi0QtMrTtcWloCOpE8FSORSIRMJsPy8rIXKkoikejbLkdbq5gT8dqh0UfoXF/JZNJHYpVqtcry8rKPiqdSKQqFAs65FYJS+7NqxFRT1rVmtVqtEovFfH/her3ur9NWq0UQBL4Pbb1eJ5FI+L6sxWJxhYBVQaviVaO7sLJVDpwycNLz0nR1NY6qVCpXfPowmIDdEBw4cIDp6enTUk4MYzUwMxRjtTlw4ABgtfvG2vDQQw+xd+9eH1EwNgZa56rRqbDAhI6Rk7Y90fTgWCzma1yz2axPycxms16klkolqtUqyWSSiYkJSqWSb6EjIlSrVSYmJnxPTn1uaWmJZDLphbOmiKoY1VpbvTdT8ynnnK9BVGfjRqPhjZySyWRfAavXs93rrQ1qgKTtkhqNRt9IZLFY9Gnh8XicIAhYWFjw6cK6UNJoNIhGo76FjgpYNeQql8skk0larZZPbVcRqa/R61izBnRRpFKp0G63iUajpzkQ65jU+Ths4KSv7TVwisViPvLvnDMBa1we9GbwkUceGfBIjI1GoVBgamrKBKyxquicZZkjxlpgi24bl0wm40WA1oL21sFq6qcKBI10aQqu3sBrnaMK1mQyydjYGM45FhYWfD1htVr1tY6tVotoNEqtVvMCNpvNegFbr9e96U4ikSAej/s6V31PTU/WlGQVrhq5VfMgjb4pZuS0tqiBU9gU6UwtdHRbOp327XKCIPALGtVq1S+KiIhfENGerOoErNexXjPDw8OUSiX//u122zsRZ7NZ8vk8wIoFDhWeQRBQq9VWpNGrwFV0oSR8XmFH4vVi4AQmYDcEdjNorBV6TanbtWGsBlu2bGFkZMTmLGPVUQdim7M2Jslk0keearUa8Xj8vAQsdOadVqvlnYVzuZxvYaOiViOz4V6s2ktzZGRkRXuVubk5UqkUuVzOpwZrZKxarXrxoG1xVMA2Gg3f8qfVankhrpFbraPsrYNVIyiN1hmrS9jRWjlTCx0R8Z+vpgtD5/rTmuZms+mFoArYdru9wsBpZGSEhYUF6vU6kUiEfD7vrxfnnHcSbjabjI+Pr7g2NJ1dU+kjkYhPK1aB3GvgpOnnva7EWg9bqVR8HfaVzpoKWBF5tYh8Q0QeE5Gf67N9j4j8o4h8VUQ+LSI7Q9veJSJf7z6+O/T8t4rIv4vIl0XkcyJyzVqew3pg3759xGIxS8czVh0zQzHWAhHh4MGDNmcZq445EG9s9MZab9I1nVdRkaiuryLinV/HxsaIRCIUi0VvbqMCQcVuNpv1NYlwqpbQOcfo6CjNZtP7QaiRTzKZJJFI+H31eIAXyeEol45bI7DaGkhfoyKlN404Ho+TyWSoVqtWB7sGqHjTFG/oH4nUdGEVh+Vy2dfOJhIJIpEI5XLZp7xrjbNG3nO5HO12m1qtRj6f9/1fdX9d4AiLV01NDi966KKIXv8qZnVxR1vo6PWk5winBKy+h36vtEa3t+73SmTNBKyIBMDvAK8BDgLfIyK9S6K/BnzAOXcj8FbgV7qvvQ14DvBs4PnAz4hIvvua3wW+1zn3bOBDwP9Yq3NYL8RiMfbv32/RDGPVOXToEMlk0hyIjVXHWukYa4Etum1sVPT1M6vR7fF43NcDKtVqleHhYWKxmG9Foy1r2u02xWLROwUnk0nf01PFTL1eZ3x8nEgk4usLl5aWvHGPCp1Go+HrbKHT91oFbDQa9SZT6hYbBIEXsCouVID3RmChY+RkAnZt0PpX6FxXsVjMGzopzjmWlpYIgoBEIrHCAVhrnpvNJoVCwUdoNYVYhaJemyLiWyNpWyiti9ZIvaYCx2Ix8vk8IuKvLRWwWv+qUdtoNEq1WqXdbpPJZFa0w6lUKivOS4+lIlfT89cDaxmBvQV4zDn3hHOuDvwpcGfPPgeBf+z+/M+h7QeBzzjnms65EvAV4NXdbQ5QMTsEHF2j8a8r7GbQWAseeughcyA21oQDBw4wOzvL7OzsoIdibCBUwGppjbGx0EiRiCAi3t1VxWqvgNX0ynCKcLFYpFKpkM/nfaRL9xURMpkMhUKBWCxGq9UC8EZOGvnVKJvWwWqto4pXFQb5fN6nKAPetEfbokSjUe9WG3ZOPpMT8dDQEI1Gw1rprAHhBY9w+m+YWq1GqVQiCAJisdiK3rx67Wl9dDqdXhFJ1fRzrZdWMasOxhphVTEcvn6j0ah3IK7Vat5MTNOVNeoa7jnrnPOvUXpb5Og1psJbo7brgbUUsJPAdOj3me5zYb4CvK7783cCOREZ6z7/GhFJi8g48HJgV3e/HwbuFZEZ4I3AO9do/OuKgwcP8vjjj/ed8AzjYjl06JDVkhlrgl5XtvBmrCbqQKy9OY2NhabeqkNsrxOxRlE1TVdTfrUeUJ2Il5eXyWazxONxX7Ma3qdXIGorHW1tEo/HqVQqLC0tkUqlfORWjZzCka1YLLbCyCkcKdPjhXt36uv6RWA1JdWciFcXjbKrYFSX6F60D288Hiebzfq6Z+2rqgsPlUqFbDa7IkNABawKTI20FwoFL5i1tlYFr0aFgyBYIWD1GtSIrboma4Rfo7fheTBsHKXoNaaCGVgRsb2SWUsB2y+Burfq/L8BLxORB4GXAUeApnPu74F7gX8FPgzcBzS7r/kp4NudczuBPwb+V983F/lREblfRO4/efLkJZ/Mlc6BAwdot9s8+uijgx6KsUEwB+LLy2acs8Ba6RirizkQXz4GNWepSAjfaIfrALWNCHRu9lUMxuNx8vk8zWbTG9fEYjFfj6gCNpfL+aip1kRWq1WGhoa8Q3AQBDQaDRYXF0kmkz76punC4ciWGi9BR8CqaA2CgGg0Sr1e95He8OvCEVlFa3xNwK4uKt504SNcoxymWCz6nqwqHjWFV12na7UajUbD10Vr9F1TfjVjQFtChV2r2+02sVjMm4upwVc6nfYOxNVq1Ttka8TWObfiPbWPbDiaqtdT+Dn9Hmn2AJiAhU7EdVfo9530pPs654465+5yzt0E/GL3uaXuv+9wzj3bOfdKOmL4myIyATzLOffF7iH+DHhRvzd3zv2+c+5m59zNExMTq3piVyLmRGysNios7Gbw8rDZ5qxdu3aRTqdtzjJWDXUgtjnr8jCoOUtFgkZPNcIa3t4dH/V6fYXRzejoKM45b7Kjrsb1et3vm8vlaLVavl2NHj8ajXpxq1FeFbAqTFutlk/x1JrHeDzu00S1d6hGzdS0R8WD/ptMJk+r7wV8tNcE7OoSFrAaDe/nxFsoFHyarS4yqANxNpslkUh4QarXoQpY/fxbrRbOOZ/OrosXKmj1/bVOttlsMjQ0dJq5l+6nx9a0dDUt0wht7zmGBaqmMp9p+5XMWgrYLwH7ReQqEYkDbwA+Ed5BRMZFRMfw88D7us8H3VRiRORG4Ebg74EFYEhEru2+5pWA3f0A1113HSJiN4PGqmEC1lhLIpEI119/vc1ZxqphDsSbg0Qi4dMl1XW1V8Bqfazup9EsFbDa81Pb7lSrVer1Oslk0qdq9gpYgLGxMd9fU0SYm5sjkUisSMssl8s+qqt1kpr2qSnFGg1TQaOpor2mOr0CVg2j1BTIWB3Cab4qDPsJuUKh4COpuhBRLBb956wmYSLi03lrtZqvhU0mk77lkgpYFaqpVMpH5tvttv982+02uVxuxTWhEd/eyLH2hFUB2xuB7T0vzVDQ7doDdz2wZgLWOdcEfgL4Ozoi8yPOuUMi8lYR+Y7ubrcC3xCRR4GtwDu6z8eAz4rIQ8DvA9/XNXRqAj8C/IWIfIVODezPrNU5rCdSqRRXXXWVpeMZq8Zjjz1GNBrlqquuGvRQjA2KtdIxVpPHHnsMgGuvvfYcexrrmd7IWG8EVs1xND1XBUm1WiWfz3vjJBWQ7XabZrNJuVwmkUgwNDREJBJhaWkJwAsOFcBaw+qco1Qq+VRONdDRaG6vkVO1WvXmP9qmRGsiC4XCCuMmPcd+dbCZTMa/h7E61Ot1ms0mkUjkrAJ2cXER55x399XPOfy5lkol7zitEXnAp+9qVDWdTrO0tOQjstpyKZwWrGPKZDJEIhEfXdXxhY+tqc96zcRisdPEavi81ExMr7XetPwrnTWV2c65e+nUsoaf+6XQzx8FPtrndVU6TsT9jvkx4GOrO9KNgTkRG6vJ1NQUk5OT5kBsrBkHDhzggx/8IIVCgVwuN+jhGOucqakpAHbv3j3gkRhrid5wa32oiNBoNHzdnzq9qshTsagGNhql0hRfbaVTqVS88EgmkywsLBAEwYrXj4+Pe5MdTUXW46qAabfblMvlFQJWa2OHhoa8SNB6RxGhWCwyNjbmX6MGT/2MOdU8SFOejUtHXXv1s9bFiDDaOknrnXXBoV6vk8vlTruOotGovy4VdaGGjpDUhRSNwC4tLTEyMuJFaKvVIhqNks1m/TjhVK23Xt/h91ADJ32Nou14wtczsCKFeD0J2LVMITYuM1dffTVPPfXUoIdhbBCmpqbsRtBYU7S/sAoPw7gUpqamiMVibNu2bdBDMdaQ3ghsOMIKp1rpaA0s4Ptnhp1ba7UamUyGWCxGs9n0IiYWi5HJZHy/z14Bq/trf89SqUQ8HvdpxCpiVGxkMhn/nI5Px6NGUpqGGhasZ3IizmQyPqJrrA7haLam4vaihk3RaNRfY6VSiXa77WuddaFCjcTUhEnFYTQapdls+hT0arXqo6AqbjVzQAVxEAQrBGy73fZR/1qttsJtW9Pmex2Iw2MInw+sFLD9zvtKxQTsBmLXrl0sLy/7tBfDuBSmp6dNwBpryq5dHZ8/E7DGajA1NcXOnTtPi5wYGwuNjulNe7+IkqYQN5tNXwerN/Bh99dMJuMjZRpNi8Vi5HI5b84DeLExNjbmaxS19lYFrAoUrbcNC4Swc7A6xaqQUeETiURot9s+RfRMvWCz2ayP2hqrgy5enC19ONxCJ5VK+c9AHYRVUKqbtbbCgU5UVNOM9XrUWuxwbaxeW2os1m63fcseHYPWt+p1o8fXMev109vHtleghq9PTaO3CKwxEFRsTE9Pn2NPwzg7rVaLmZkZE7DGmmJzlrGa2KLb5iHcSkdTiXtNarQFjgpXNV9KpVK+lU4qlfJ1j2rkpO126vU6lUrFtydRAaDCQEWtClgVzupAHBYI6kSs41NxDXhRo4SdiMO9SRV9falUWqs/76ZCo5Zwqn1RPyGnaeHaQkcXQTRdWK9JFYK6SBGOtmtUVreXSiXvaqzRf6231khq+JrTRZpwBBZOCVi9VnR7mH4RWK3BXm8OxGACdkNh0QxjtTh+/DiNRsNuBo01Zfv27UQiEZuzjFXByh42D2FBqZFMFSHqABsWtuFolboMV6tVYrGYF7Dlctnvm81mabVaFItFf3x1iNWUYI38Li8vr0ghVgES7rsZi8VWtFcJG/Woq7IK2nM5EWtE1wTs6tCbPqxRz16KxeJp6cLaA1YNk8ICFjrBAK3RTqfTKxZUyuWyF7jJZHLFdRxe0MhkMqc5EAO+bZP2fdXWTq1W6zQDp0ajsaK1D+B7IYf/BiZgjYFg0QxjtVBBoYsihrEWRKNRJicnbc4yLhnNGrE5a3MQjsDqv2EhojfmIuIFg97Eq4CtVCqICOl0mlar5U2fNAIrIr6VDpy6yc/lcl6khI190um0F0C6r7bS0fHp8TWlGfDvr0K11y22V8DGYjESiYQJ2FWi18kXztwDNrwAofWuQRD4vrC1Ws2LSTiVzttsNn3asbbQ0ehru90mm836etaw03Cr1SKXy624FnSMukCj/6pLcT8Be64esL3X3HrABOwGYvv27QRBYNEM45IxN0/jcrF7926bs4xL5tixY7RaLZuzNgkqHlUwhtMgw9uj0ah3hdWUzqGhIUTER0S1XrHRaPga2N5WOnAqiqXRWRUpGoHVFFHoRLe0Fyx0RK8eX/fTVjyaxqn1lb1iIhyNA7xjrY7fuDQ0TVtTzqG/kCuVSl6IqljVBQqtyw63sNFjAz4CC/gWOsVi0QtYbbWkDtcanQe8w7XWR2vEV4+tY49EIjQaDe9urWOAM7fQCfeADfeuXQ+YgN1ABEHA5OSk3Qwal4xGxOxm0Fhrdu3aZXOWccnYotvmojdCppFWRW/Uw06w0LlRz2azXvBquqjWDlYqFS9GE4nEaaaY9XqdoaEhL0Db7TbFYnFFGmm73fYR3bATsUZggyDw5lNa9ygiXgjra/T5fv1e1YnYesFeOr1RU+gvYAuFAkEQrEghVnOmsJGY1sRGo1GfUuyc8ynEjUaDTCbj09OhI1KbzeYKYaoRYY3shyPxvRkHKnZV4GqUWOmNwPZzIA632FkPnFPAisiWPs9dtzbDMS6V3bt3WzqecclMTU2Rz+d9qpVhrBW7d+9mZmbmNKMSw7gQbNFtc9EvxTPs+qpRTk3ZVLR3qgpFFbDh/q2a4ptMJk9z+lUBqyZMInJaZE4jqxqhg47g1LpYYMV7avSuVCqd5jwcFjRhTMCuHhp91AUFXWAI45zzAlbFYVj4hq8fFa8aEVWRq0ZNmuJbqVT8z8lk0kdgVQTrsTVy2ytgwy11AL8oo3XVYUEeXjgJH2u9ttCB84vAflZEvkt/EZGfBj62dkMyLgWLZhirwdTUlNWSGZeFXbt2Ua/XOXHixKCHYqxjrG5/c6GRpN46wLBA1IhSr8OvtkGpVCrU63XS6bQXpLVazQvfbDbL8vLyiqhUWMC2Wi2CIKBSqfjen8lk0otmjcJCRyioa3F4/NpSRYWqmvjogl5vpE3JZrMrWvUYF08/k6xeGo0G5XKZIAh86yNNE9eaZG2howJWF040shoEAbVazaezh/sC6+euUVt9XRAEXsCGI7Ph1ku6kKLReo32hjlbCx3dvp7qX+H8BOytwBtF5M9F5F+Aa4Fb1nRUxkVj0QxjNTA3T+NyYeZzxmowNTXF0NAQ+Xx+0EMxLgOasqsiUgkLWE3zVTEZBMEKAasRUk0p1tYlum8mk/FRrnCK5ujoqHeADYKAarVKsVj0ojkWi/nU0XA6cNg5OCzARcS7HKtYDp9Hbw0s4PuCamse4+IJ/93P5ECsfYI1khoEga9BVkEbrqEOR/7VZExFqrbQKZfL3tU4CAIfSdVMAr0uMpmMH6decxqB1etWa1e1LjyVSp12jr0pxRolDjsjryfOKWCdc8eATwIvBPYCH3DOWffkK5Tdu3fTaDQ4fvz4oIdirGOsn6JxudDrzDJHjEvBFt02HxqFCtew9qboKuFWOhopVYEZNlXSqGwsFiOXy9FqtahUKita6WSzWRKJhE/fbDQavhesRtq0lU7YPCfcu1V7xqpQ0V6wOubw6/pFYJPJJNFo9LQUZ+PCUGMkFYsqMHup1Wr+utD+vJVKxaflalsnTRcOm4rpMfX4uvASrsHWWmhdQNHrItwDNiy09brQqGvYfOl8esCGf9cFkg0nYEXkU8DzgWcA3w78hoj82loPzLg4rBescalUKhVOnjxpN4PGZcHmLGM1MAG7+dCoV9iRWEWDRmgBb4ATTrvM5XK0222f+qsuripUtC2OOgmrSAgLYOcckUiEdrvN4uKiFzdwyuVVBZKK23AENty7ViO6KsTDkVs1/uk9d+sFe+mE03L1s+yXQqx1zmrupS10IpGIj8CqgNXXa/2rpvTqtaAReq2HVQOnXtMnrWUNR2BVwOr1AvjXAj5bICxGVRCfScCuxxY6cH4pxL/jnHuTc27ROfd14EXA0rleZAwGS8czLhUzQzEuJ6Ojo6TTaZuzjEvCBOzmQwVlIpHwwiAs9DSyBSsjsADDw8MAvg4xXKOqglPTdJeXl73AUQGcyWS8yY5zjsXFRS964VRkT99bHYpV1KgA1frFVCrle8GqkNZzgNNb6fSmJBsXR3jBIxzd7KVcLtNqtVY4EGs9czqdPu2zDR9bRaqK2WQy6Q2cAN8TViPyuvDRarV8tD98PDhV860/h6P+53Ig1ud6x7nhBKxz7uM9vzedc29buyEZl4Kl4xmXipmhGJcTEbFesMYlUSqVmJ+ftzlrk6GR13A9avgmPxyBVYGr4kAd9lXAakqx1jFqnWwkEvFpuuEIby6X87WH6lCrwkFrcvXYKkr1PfT4GvHT9FXApyL3ioreNGIRIZPJUC6XV/8Pu4kIR2CVfkKuUql4x2itP1XDJnX8rVarK6KfYZOlVCrl67HDPWC1TY5GV3UfJZlM+oUYXcTQ6yZMLBZbYRB2rh6w4YjshhWwIlIQkeXuoyoiLRGxCOwVyvDwMJlMxm4GjYvG+ikalxtzTzcuBcsa2Zz0u+Hu1ws27NSq+2SzWe8gDB2hEO7fqr1gw3WrcOrmX1OQ1XhHBWwsFvNitNForGido6mivT03w71gy+WyT1ENn8OZWulo2qpxcagxUrheut91pYJTBaX+3UXEu1b3+8y0V7CaKmkPWDVw0vRiTQPWNHI199JrsPe6Djsn6756HajIDp8jcFokNzzOWCzmr+X1wvlEYHPOuXz3kQReB/zO+RxcRF4tIt8QkcdE5Of6bN8jIv8oIl8VkU+LyM7QtneJyNe7j+8OPS8i8g4ReVREHhaRnzy/U90caDTD0vGMi2V6ehoRYXJyctBDMTYJNmcZl4Itum1ONMoUvvHujcBGIhGfXhneR02QdH89lpo2qRBNJBJ9e8Hm8/kVdYilUskL0bAjbLhXa2/vVo2s6evURCocgdUeo9YLdm1Q0RfuARvun6oUi0UvKFVAagReX6s9YPW60z6xwIraaI3WiogXxZohoM/rmFKp1Gmff7iWWyOx4X00XV3RffW8eiOyvSZQ64ULltvdlOJXnGs/EQnoCN3XAAeB7xGRgz27/RodV+MbgbcCv9J97W3Ac4Bn0zGQ+hkRUW/8NwO7gOudcweAP73Qc9joWDTDuBSmpqbYvn37uksnMdYvu3bt4umnn7aehsZFYQJ2c9Lv/6hwqqWK0HBLEzhV/6e1iGrOo4K0XC57k6VEIkGpVCIIghVOx0NDQ15AxGIxyuXyisgtnDJy0nlNo7y9PTgbjcaK1iya6qzi50ytdDKZDM1m06eOGhdOb13pme57CoWC7++qEXJNKdbPq1qtekdiOBWtD4tcjdhWKhW/cNFPwGrN/PnEfQAAIABJREFUddjAKTxGTTnWXrGAN3/Sazl8jmeLyJ7JeflK53xSiO8KPf4vEXkn4M71Ojq9Yh9zzj3hnKvTEZp39uxzEPjH7s//HNp+EPhMt962BHwFeHV3248Db3XOtQGccyfOYyybCotmGJeCmaEYlxu93o4cOTLgkRjrkampKSKRCDt27Bj0UIzLiEaNVBj09lDVaKimV/YaOiWTSe8wnE6niUajPsVXj5VOp72AVer1OiMjI17wxmIxKpWKdzQOp2qGU4i1tU+/mkTtydlsNn1EOfy6flFWNZkyI6eLJ9y6SAVlLxqVD4LAL4podFWvMTV1CrdRAvwCh0ZINQparVZ9Cx1NHVZX6nBddFjA6gJKWMA2Go0VKevapzZMPwEbjsiqeF5vnE8E9o7Q4z8ABU4Xov2YBMIqaqb7XJiv0ElJBvhOICciY93nXyMiaREZB15OJ+oKsA/4bhG5X0T+VkT293tzEfnR7j73nzx58jyGu3HYvXs3x48ft1U546KYmpoyM5QBsNnnLDDzOePimJ6eZvv27evyJmw9M+g5S/unninCpGJDawo10hQWsBpxVcMmTftVQdFbZ6pCZGhoyAtedSfWOthwlC6c4qtiR42XdMwqWMKuxL3n0U/AptNpRMQE7CXQrz1Rv33UsEndhLW+VdN16/W6v66cc36RQmtbVZxq2rpeY9oPWKOu+ryIEIlEVvSAhVM9XlV4axoznHIj7tcDNjw3hr8vahq1HufO86mB/YHQ40ecc+84z6in9HmuN3L734CXiciDwMuAI0DTOff3wL3AvwIfBu4DNP8jAVSdczcDfwC87wzj/n3n3M3OuZsnJibOY7gbBxUfMzMzAx6Jsd5wzjE9PW0R2AFgc5YJWOPisKyRwXAlzFkq7mKx2IoUX90Wro8NC9hYLOZb11QqFZ92qeJD90mn034fvdHXGlpNCdb04oWFBS9gw46y7Xbbtzc5Wy/YXrOecAS2Xwqxvt4E7MWhn4tzzi9GnMkYTJ2kU6mUF7RBEPiorBp2JRIJWq2W/7z0OY2uaw9YXSjR9k16Hej1Ap0U37CA1YUNfb9wBPZMLsp6DZ6phU443X69cXqlchcReQ9nSRV2zp3LPGmGU1FTgJ3A0Z5jHAXu6r5fFnidc26pu+0dwDu62z4EfDN03L/o/vwx4I/PMY5NR7gX7DXXXDPg0Rjribm5OSqVit0MGpcVFbBW+mBcDFNTUzz3uc8d9DCMAaCGOiosNBoKpwyQ4FQrHa1pFRHy+Y61ikbXdP9wL1jt91qpVEilUt44SSO4S0unmnIsLS2xe/dun8IZrset1WpewFarVd/GRAWxiJBMJikWiz4i22v21JvqqRFddVI2Lgz9bDQFHfoLOe0Bm06nfWS9Uqn4aGg8HqdUKvnPNPy5N5tN3z6p1WqRSqWo1Wrenbi3h7HWPWsta28NrG5TNI1Zj6eCWlGB3huB1TZS67WFDpw9Ans/8MBZHufiS8B+EblKROLAG4BPhHcQkXER0TH8PN1oqogE3VRiRORG4Ebg77v7hU2kXgY8eh5j2VRYNMO4WFRAWAqxcTlJpVKMj4/bnGVcMJo1YnPW5iScQqz/hqOV4fTK8H4A+XzeO/8650gmk0QiESqVygoBCx0THzXW0RrCTCbj6xhbrZZPIdaWKeFInEZ0NU1Yx6K/Az56pyZSmoaq59CvF2wqlbJesBdJ2BhJBWw/IacCNpFIrKh31R6u+lw4Fbder/sa6UQi4VPDE4mEX8AQEXK5HKVSyUeAw9eutuzR44Vb/QA+NT6clt7PgTh8Xhr53dARWODbnHNvFJH/6px794Ue2DnXFJGfAP4OCID3OecOichbgfudc58AbgV+RUQc8C/Af+6+PAZ8tvthLQPf55zTFOJ3An8iIj8FFIEfvtCxbXR27ux0I7KbQeNC0bRzvYYM43Kxe/dum7OMC2Zubo5arWZz1iZFxaOm/4YjsLDyxlwjXRohC0dgAV8T22g0/E1+Op0mEon4VjrhyGgul/MpnJFIhOXl5RW9YMMGTipoksmkdyzO5/M+1VjTWLWmtV8v2H5pxOl0mvn5+dX+s24Kwn/Ps0VgS6WSd4rWhYVarebrllXAqiuxHjsSifioa7vd9v1gT5486etX1YFY99XFDBW7usChUXndL0wQBCsWO8ICtleg6u8bXcA+V0T2AD8oIh+gp6bVOXfOb4xz7l46tazh534p9PNHgY/2eV2VjhNxv2MuAred6703M6lUiomJCauBNS4YdYG1HrDG5WbXrl08/vjjgx6Gsc6wOWtz03vj3dszM7w9nHoZdh7WlE6NgGokLJPJ+H6xKmAjkYgXwLlcjkgk4gVIuNVKuLVJ2MgplUr51joqgHrFU7lcJpfLsby8DKzs19lLOp3m2LFjXsQb54/WnIbrpPtFYCuViu/XGo/HKRQK/nVaf6oRUhWwavKkEdiwYNX043a77VshaSqxLsKoYA5HV6G/oZemx4cFtdK7CNJvUSQ87vXE2VKI3wt8Erie09OH71/7oRmXws6dO03AGhfMzMwMQRCwdevWQQ/F2GTYnGVcDJY1srnRG/FwemW4ZY5u73X41XpYTenUVEwVGlqzqo7CKmCVcC/YVqvlU4814hbuPxvuBauCpVdIqNBxzlEul1cIGo3w9hOwvcczzp96vb5C+Ecikb6LAKVSyderqoDU2lPA101Ho1Hi8biPmGqkVFPKNcVY04+bzaav3Y5Goys6h2h6so5T0RT4IAhWtAAKR1J7sw7CArW3hdN6baEDZxGwzrnfcs4doJP6e7Vz7qrQ4+rLOEbjIrCbQeNiOHLkCNu3b7eVXOOys3PnThYXF81R07ggLAK7uQnXuMIpIdvrRKxRrfD2WCzmU3VVKGrdovb0VAHbOy+FBaxG48rlsk89DgvTdru9Yjzh8anpj0aEw2Ko9zzOFIEF6wV7MYSvBzizkZFG1sMtc/Rz1p6vYVdiNVRqt9sr+q1CpwZVe8BGo1Fv8BSPx72A1bY6Knx7Mwr0d231pOcSBIHPAFD6tdAJn2vv9vXE+bTR+fHLMRBjdZmcnPT/sRvG+TIzM2ORDGMgqACxecu4EGZmZohEImzbtm3QQzEGQFh0aD0prIxI6Q19uJZQb9yTyaRvm5NKpXyktlwu+4hsP6Oker3O8PCwFyxBEFCv1ymVSt6hOBKJ+GOHhYM+r79rqqmKj369YM/USkdNpnojxMa5CRsjOefOKGBLpZIXh/o5qwDVz0UXHWKxGK1Wa0V/VY22apskXdTQemmNglYqlRWiNyxgw2nm+rtGbuFUdLdXjIYNm/RY4bT13u3riXMKWGN9snPnTt8SxTDOl5mZGYtkGANBF04sc8S4EI4cOcLWrVvXbRTBuDQ07fNMkaZeAas37OFWOM1mk0qlQjqd9hFYFYsiQjab9fWS4RrFTCbjU0b1ddoLViO/mkLcarVWtM4Ju8ZqFE9E/M9KWOj2i8Bms1kAcyK+CMKfMfQ3Mmo0GlQqFYIg8Om++jloyxqNyAZB4D9zfW3Y0CssYDVlXK9N7T+sY4lGo6f1gFWRrTXXYQGr59F7Dv2+F4lEYsX5rde50wTsBkVvBi2aYVwIR44csQisMRBMwBoXg2WNGGFBqvQKWK1HDLfSicViPsqlEVeNqGov2Fgs5utMw/1hVQik02mfftxqtVhaWvKRMG3PooKmVqut6N0ajsKpgI3FYl609p5HuLZX0UivpRBfGGrEpZ/dmSKRjUaDWq3mBWW9XqdWq/mIbG9Ksbap0ZplraPWa0k/W90//P56nahQDQtYNZoKL3CEXbX1WjufCGy4pU64lne9YQJ2g2I3g8aFsry8TKFQsAisMRD0urM5y7gQjhw5YnPWJifcA1ajob01p/z/7L15cNzped/5efu+0bhPHiBnSM4MNZc40ti7iWzHh7QqW7K1tqVktBXbWaXkRJvIibVOKXZ8qWTHVuIpxXbWVlmWLEe2fOyWdleyVeVK5Mgj2TNDkbMzFIfkEBeBBtBAH+j7fPcP4HnxdrMBgjPDAUC+n6ouAH2+3f1js7/v93m+DxjXyi7DjMfjZhZsIBAwDpgtYGOxmJnPat9eHFy7/zaXy3WcL6WewE2Cptcs2Egk0vHY3b2ytjsrj+lmwd4+4qbLaBoJ8eqmXC6bYyocDlOv102KsJQMNxoNE/IkLr+4rTLmSUqOxWWVEDERkN0Ov9frNeXh3aXOQrvdNrcVgWuLVXncbgf2bhihA7sIWKVUQSm1sdPpjVyk4/ZxAtZxu4hb79wMx34QiUQYGBhwVSOO28I5sA67j9AuEQZMGrDdU2pfHo/Hge1ZsHaPqu3Aaq3NPFA7CVZmx0rwTqFQML21sF22LI8tQUCSHGwLWlmvBP30mgXbq4zYCdjbR15v6YmG3iFO5XLZlPvK+yEpwuFw2BwLtpMpbnqj0TBlx7Ddvyrl5tFolEqlcpMDK06qpFJ3h03JukV0S4+ux+O5ZWCT3et71wpYrXVca50AfgP4GWASmAL+d+CX35jlOV4tLhDFcbu4cRSO/WZyctJtujn2TLFYJJ/Pu8+sexwRpH6/34Tg7DQL1i7dbDQaJBIJlFJUKhW01kZ42i6ojMUpFAodPbBaa+Pgyvn5fN64qhLoIw6dlKLKiBwRtOIASjkpYMKgup3knYKcXN7J7WEfH+Jq7uTA1mo1E/AlQlMp1bH5YPejilCU40mEqT0DttlsdghY2eiQY1hmzso6ezmwQEe6dq8ROvbzkvuSHthugXvY2EsJ8fdprX9La13QWm9orX8beM+dXpjjtRGLxejr63NfBh17xo2jcOw3bvyX43Zwn1kOuFl4SMpwr8tF4AJmdI3M4BTBIeJWxK4IA0n6tRNcxcEVF7ZYLJo0YXHFRGDImsLhMK1Wq0NA2CE9sCmcRMDY5+/kwIoAd+wNEaJer3dXB7ZSqZh5rXa/K2y7++KG2uXCkixtz4CVUTkiYCORiAl/shOy7Zmz0jMrAlUeW8qf5bmIoN7NgZX7EgF71zqwFi2l1D9SSnmVUh6l1D8CWnd6YY7Xjvsy6Lgd5FiZmJjY55U47lXcZ5bjdnBtDw7oLTxEEAAm6Mbj8ZjzoDMl1hYlcnu5XMo5JShJhGK9XieRSBgBYrtxIkBEyEgYkKxXUmft9UvJKWwLWBHTIpZ6ObASJOXKiPdOvV43AlbEoJ3oK9glxCJgJXxLqNVqpm/VLvcVIQrbPbcSJtZqtYhEImb8jWygSAm5zATuNQPWTq0GTA+s9OQK3QJV+m/t403WfRjZi4D9h8CPACtbpx/eOs9xwHFfBh23w+LiIkNDQ6aEyuF4o5mammJ1dbWny+BwdCP/vzkH9t5mJwfJ/gJvJwV398OGQiEjIKSkVwSnCNxgMEilUum4vZQgSwkwbAqVjY0NM5JHgpdarVaHYLXFiaxPHGHYFkWyTrndbqN0XBLx3hGhKaedymil31U2MsSB9fl8ZkOkXC6bRGJxYEVg2iFfchy02228Xm+HgLXHKimlOo4D2yHuNQPWThrudmBl40Puyw4qO8wjdGAPAlZrPau1fpfWekhrPay1frfWevYNWJvjNeIErON2cGEojv1Gjr+lpaV9XonjMOBKiB2w7WCKk2YLVLnc4/GY0k0p1bRH6YizZs9lrVQqRtBGo1EjXuz7FwHbarVM8mypVDJhTSKG5XHtvtfuEmIJApJ12sIDth24biSt1jmwe6e7B3YnAVsoFMzIHHuury1opbfZdu8ldVjcTTne5DI7zEuCmCQITBKPZZ329WTdtvhstVqmFNp2kbtH6NRqtbtmBizsQcAqpU4ppf5KKfXi1t8PK6X+7Z1fmuO1MjU1xcrKSs+SE4ejGzeOwrHfuPR0x+1w48YN+vv7jVvhuDexe03FzYROB9YuwbWTisWBbTablEolE9gkY3PkC340GqVardJut42DVq/XiUajBINBI4objQaFQsHcL2zP24RNRy8QCOD1ek3fqoQBibtr9zoqpToSkncKcQJMj67j1tivb/eoGZtisWjSpsVBFTdfHFGZ0yrlv1L2bacSy/stx489Psnj8ZjNB6/X2yFgRRzbAlaOM/tY7zUDVjZLhG4B2335YWMvJcS/C/wboAGgtX4BeO+dXJTj9WFychKtNalUar+X4jgEOAfWsd+4WbCO22FxcdF9ZjmAziRiu0cVtgWsiEhxtWwHFjCzYEWIVCoV4+jGYjHjytozWkOhkAll0lrj9XrJ5/Mdotme3yplySJS7aAoEVXBYNCM8ZHf5Xn0cmBlzS6JeO/Yx4YELHXTarWoVCqm3FdmwIob251KLJso8l7I+yL90dVqlVAoZBKmATNSR4SpHDP2DFgpJfd6vaaHW+7Tfuzu52A7sK1Wi2azeZMDe1gTiGFvAjaitf67rvOaPa/ZhVLq7Uqpl5VS15RSP9Pj8mNb7u4LSqn/ppSasi77VaXUi1unH+1x208qpdx20y44N8OxV2q1Gul02jmwjn1FPrPc+C/HXrhx44b7zHIA2+JO+hDFIZXLbIfTFqAiTgDjuErvavcoHQlKsmfBysxXrbVxYWWUjsyIhW0hUq1WzXp2mgVrO3vBYLDDgbXFsODxeIwwctwa6UMVpPe5G3n/xRGVGbBSLmyHOolDax9b8n5JaXi5XDb91uLa9xLB8njtdtsELck6BXFx5ZjtngErfbh2gBPQIWh3c54PA3sRsGtKqZOABlBK/c/ALS09pZQX+E3gHcCDwPuUUg92Xe3Xgc9qrR8GfhH4+NZt3wk8DjwKvBX4aaVUwrrvc0ByD2u/p3EC1rFXpOfQuRmO/SSRSBCLxdxnlmNPOAfWIdglwSIeulNY7dJi+/JEYvPrpTiu0pMqAiYQCBCJREypp317EbBy/16v14zSEbdLZsBK2qxdPirBOiKwRUyJKxcKhTocWOg9SicSiTgHdo/YZdgiDns5kZJA7PP5TA+0bCZ0j9UJBoMmbVo2SUKhUEepsmxI1Go1YrGYCX8S4SvOv/14clvYPn7lpzi9vQSsvRkCd98IHdibgP1nwP8BnFFKLQL/EvjgHm73FuCa1vq61roO/BHwrq7rPAj81dbv/9W6/EHgq1rrpta6BFwE3g5GGP8a8JE9rOGexglYx15xaZ6Og4BSyoXPOfZEo9FgZWXFfWY5gG0BKyLADkmSsszu9GHpVezr6wPo6ElVSpkyXhGpXq+XUqnUIWClvFhKhUX4ihAVMSp9kOLAioAVF1jCfqS/EjYFlDh1smboFGBCOBymXC67WbB7QI4L+7XqJeTszQpbrLZaLUKhkHFPxWEVd1xcV3Fl7ceU4zMej5ty5GazacqL5fgLBAIdM2Dt9cqxJse4HD+3GqED95iA3RKg3w0MA2e01v/jHlOIJ4EF6+8bW+fZXATes/X7DwJxpdTg1vnvUEpFlFJDwHcCR7au98+BL2qtXWPnLUgmk0QiEfdl0HFL3DxFx0HBCVjHXkilUmit3WeWA+ic9Qrbjpd9uZwv/YOAcTltwSCOqi1gxTUtFotGqMrtZYyNCGd7pqf0LUqPY71eR2tNMBg0o3NkfZJELJeVSqWOtYiA3WmUjji6jt2p1+umzFxEod0bKlQqFRPU5ff7qdVqpkzcTvuVUl0RhRLkJGXHch0Rms1mk2g0agKaarWa2aCQcmS731lKiyXwSZx62WQJhUI3hTjZCdewHQYlGyX3hIBVSv2LrfLdMvAflVLnlVLfu4f7Vj3O694a+tfA25RS3wTeBiwCTa31V4AvAc8Anwe+DjSVUhNszqH95B7W/QGl1HNKqefS6fQelnv3oZRicnLS9ZM5bolzYPcf95m1yeTkpBOwjlviPrP2n4P0mSVf1G23SkaWwM1lxIItUEVc9nJgPR6P6Ue1R+nILFgRQyJKpc/RduZENEg5sS2yxRGWWbBaayM6ANN7KeWp3YiAlRJXx85IeJa8tpIg3E25XDbvh2xwiNsqiONql6SLAyt90+L0y2PIZeLuFotFI0CbzSaRSMQIW3FbRUDbZcNy/Mgmx60c2O4EYuhdOn1Y2EsJ8Y9rrTeA7wVGgB8DfmUPt7vBtmsKMAV0DPfTWi9prX9Ia/0Y8NGt8/JbPz+mtX5Ua/09bIrhq8BjwH3ANaXULBBRSl3r9eBa69/RWp/TWp8bHh7ew3LvTpyb4dgLi4uLxGIx0wvkeONxn1mbTE1NkUqlTPiJw9ELVzWy/xykzyzbYbXp/iJvl/rCdjlxKBQyJbgS5CQloxK6FAqFzHlCvV6nr6/PlCiLC5zL5YhEImbEjy2mpYwYbi7tFHfODmvyeDxGzOyURByPx9FaUygUXp8X9C7GdjZ3mwHbPeao0WiYHlWPx2OCviTUSY4LCQuT91TKyiWJ2OPxEIlETPpxoVBAKWWCm7pnwNq93fa4KNnMkPXbz6O7NL3XDFg5Ng8re1m5fBr8T8CntdYX6e2udvMscL9SalopFWBz9M4XO+5YqSGllKzh3wC/t3W+d6uUGKXUw8DDwFe01v+v1npMa31ca30cKGut79vDWu5ZnIB17AVJ8+z+z9/heKOZmpqi1WqxsrKy30txHGCcA+uwkS/vUsYr2CW6dkCSlIJKknA0Gu0QKD6fj3q9btxSn89HOBw25Z62AI5Go0bQSGlqPp/vcGAlFRa2y4FtBzYYDJryULs/tzuJ2C5VtZGyUydgb439/kmaby/sDQ3ZfBDhJ4JS+lilNFjeN+lJFQdW3nNxUSORiBGipVIJpZQRteKoynsv15NNDDlmRaTK8d5dQizPS5z9bgF7mMuHYW8C9nml1FfYFLB/qZSKA+1b3AatdZPNftW/BL4FfEFr/ZJS6heVUj+wdbXvAF5WSl0BRoGPbZ3vB/67UuoS8DvAU1v357hNpqamWFpacm6GY1dcmqfjoODC5xx7YXFxkXA4TH9//34vxXEAkPJau5cQOsNzpHfRHl8jDpaIho2NjY5UYCnXhM0yXTvIR1zaSCRiUmjF3RX3TvoTZYasJBFLWbIk14rYFVESDAZND6aMXoHtETvdSBl0seimS94KewNA+pF7USwWO0boyMaHiFPZ4JAZrLIpIpsedv+zHAuFQsG8V9KLXS6Xge1NGBnrJKJX3m9700XEsDyOjN8RbAFrb5LYl98LAvYngJ8BntBal4EAm2XEt0Rr/SWt9Smt9Umt9ce2zvs5rfUXt37/U631/VvX+Sda69rW+VWt9YNbpye11hd2uP/YXtZxLzM1NUWz2WR1dXW/l+I4wCwsLDgB6zgQOAHr2AvymeWqRhyCLUjtkTmwPQtW3FD5gm87sLApWoLBIF6vl1arRbFYNEJA5rra43UajQaRSMT0NIpwFpEsgUz2ffcapWMH9yilCIVCRsAGg0EjgnYqIZbkWidgb428frbj3QsRsJFIhFqtZsqARYDKRgZgNkakd9Xe0BDhG4lEKJfLxn2XY7FUKhEOh02PrJQSS/BTd9+2lJkXi8WeI3TkOe40QgfoKD0+rOwoYJVSZ7Z+fXTr5wml1OPAMeDmbmfHgUTKq9yXQcdO1Ot1FhcXOX78+H4vxeFwn1mOPTE7O+s+sxwdiLgLBoNGTNglxCIybBerXq+bkk7AzOYU4VAul00KbDgcNinDdl+i3+/vCOwBOpxVe6yP9EP6/X6zzkql0tFn2e0Uy3gV213urqqze3R7CVzHJq1Wy7x2svnVS8i1220qlQoej8ckBksPql1CbI/QsUt95Tx5TNg8BiuVCqFQyJSqNxoNKpUK0WjUCFZ5PHuNcl8ej4d2u00wGDQbInLf9tqlvxZ2FrB3swP7r7Z+fqLH6dfv8LocrxPHjh0DYG5ubp9X4jioLCwsoLV2XwYdB4KhoSEikYj7zHLsihOwjm5sB1bEwG4CVpxNwAQxSTmniEYRqzILFug4zxawcv8iWOywHSkjllE5Esgkjq6kHLfbbSNQ7B5YeVwRHd0iVSllRFClUrnzL/YhxS4fFnG40widRqNhApdqtVpHurA9FzYcDlMqlQBML6w48rD5XoXDYXPcxWKxnjNgpTw5Eonc9P52u7CyIRKLxW4So71G6NgurfTqHnYBu6OTqrX+X7d+fucbtxzH68309DQAMzMz+7wSx0FldnYWwH0ZdBwIlFIcP37cfWY5dqRcLrO6umr+f3M4YPMLezabNV/c5Us+bM9ZlR5VWxhKyaf0mkqCrLilIhDC4TBer5dSqUStViOZTBqhHIvFTEKsCFT5Kb2Qdomx/JSxKLAtpESY2OJG1ilOsQgnm2g0SiqVolqt0tfXdydf6kOLHA9Svgu9HdhSqWSOkVgsZpLxRZxKmJaELolT30vA1mo1BgYGzDEQjUYpl8tmA6RarZoQMakGkI2U7rCpcrmM1+vtEMOShN39HG0B22uEzl0rYJVSP7TbDbXWf/76L8fxetPX10d/f7/7MujYESdgHQeN6elp95nl2BFx591nlsNGyjbtFGIpn7TH6Ii4lJ5DW8BK8qz95V8ErLi49XqdcrncIYDFwZXyTXG4ms1mR2+r7c5KOaoENNmlwpFIhHa7TbVaNeNQbGHaq0xYxK1zYHdGNhjkGOnVPwqbr2GtVqO/v9+4rb2cS9uJh+0ZsKFQiEajQa1Wo9lsEo/HTclxPB43peobGxsAxpUNBoMEAgFyuZwpF5bjKhgMks/nO0qWI5GIOU/oFrCVSqVjs0OE9WHvgd2tl/X7d7lMA07AHhKcm+HYjdnZWbxerwtxchwYjh8/zte+9rX9XobjgOI23Ry9kC/k4lrJF397lquNXE/SXgOBAPl8nna7TSgUwuPxmFJSCV0KhULUajVTlgmbpb2xWAy/30+5XDZ9rLA91kfKh2u1Gl6v14T5NBoN4+SJ6ys9kYApIxZ3WJ5jr1E6EugjgthxM9IjLOnQO7mQ4rLbI5Kkr1TeWwlnCgaDFAoFkwystTYuarVaRWvSmoAQAAAgAElEQVRNLBYzl0WjUSMql5eXUUqRTCZZWlqiv7/fJFVLGbncr4xxsnu7ZROlewasPDcJCRsaGjKXd89GPqzsVkK8p6Rhx8Fnenqal156ab+X4TigzMzMcOTIkZv+c3c49ovp6Wny+TzZbNaNSXHchGzIOgHrsLG/kIvTCphQHduFBYxbK+IgEomY8CVJmhUBK+JQhKQtYGu1GrFYrGOUj4T0SACUPF6pVGJ0dNSMU7FFsIzSEcEhI1aklLVYLJqAp52SiO2xLI6bkfdGysl3ciElAToajXaMZLLH44g7Lu9Zf38/2WzWHCfFYpFisWjCvyqVCkopwuEwhUKBYDDI6uoqPp+PZDLJ7OwssVjM9GInEgkjWEulkikztoWsHNPdDqyUzMuxIBsicPcI2L2M0UEp9U6l1EeUUj8npzu9MMfrx/T0NLOzs+YfocNh48JQHAcN17vv2I3Z2VmCwSCjo6P7vRTHAcKee2kLE3EkuwWsCENxYCVJuFQqmSRi24H1+XwmBbhSqdBut414iUaj+P1+kxBsu3WyOSzlweKwAUbASvmoHQwlPY+VSsUE+0iy8U6zYOX59HJoHTc717sJWMAEOMH2cSUlxRLEJGFhsuHh8/lMb3Or1TIubqFQwOv1mvLiQCDA+vo64XCYRCJhSsfFlZf5szYiqmVeca8kZfv4l3ApKS+Xy2Vz5TBzSwGrlPrPwI8CHwIU8MNsjtJxHBKmp6ep1WosLy/v91IcBxAnYB0HDSdgHbsxOzvLsWPHOnodHQ7bAZVZsFK2C9s9shK0YycRBwIB41KJgJUSTEn/lXAn2E4ilrmu0WjU9LBK2aaEPjUaDRMa1Gg08Hq9wLaYkrLfYDBoRquI0yfzR2OxGLA9S1aek42IXpdEvDMyT1dc1F4JxLApYKUUWErGxbGVTQbpYxbssUwej4disWhSjJVSlEolU4YuwjSXyzEwMGAcYSkvBkwQlCQQS99rPB4nm82SSCSMMdXtwNoCNhQKmWMO7o4ZsLA3B/bbtdb/C5DVWv8C8G3AkTu7LMfriXwZlL4hh0Oo1WosLS05Aes4UDgB69gNt+nm6IX0/ckXdLt/ELaTiHdyYKUvUhJiRejK30BHcJMEOcntpfyz0WgYQZpMJo0jKuJWwptEFMl8UJk5KiJLxuqIAysunoju7tEqgUDA9E26PtjeSAmxCM+dhFypVEIpZQSs9DCLCy99y3YgmGxEyHgk+32T+wwGg6anttVqUSqVmJiYoFgsApiEYlmbPVtYxKqI4/7+/pvcVHteMGwmttvlw3B3zICFvQlY2cYpK6UmgAbgsusPEe7LoGMn3AxYx0EkmUySTCbdZ5ajJ07AOnZC3LHuABy5TESpjNgRkSilntJD6vP5jFjN5/NGEEg/Y6vVYmNjw5SDyvgTuaxWq1Gv1zl69CgAhULB9F6KoyrrspOIpQ9XRuaIA6yUIhaLUSwWjbDpLi+1g6qcgL0ZeZ/FmYfeAlZrzcbGBj6fj2g0agSs1ppQKNSRSuzz+Uw/qrj9wWCQXC5nwpvE/ZSRSHK7bDZLo9Hg2LFjHY9XqVQIBAImsdru1ZYAsHa7zdDQ0E1uqqzTnlNrlw/Ddo/sYWcvAvb/UUolgV8DzgOzwB/dyUU5Xl/kP3r3ZdDRjUvzdBxU3CgdRy9KpRLpdNp9Zjl6YjuvgPniD5jeRHHOpAQYNh3VUChEMBg05aPSE1soFMztw+Gwcd3EDQVMualSimazacp4h4aGiEajFItF87iVSoV4PG5G7tjzY+35s9Fo1PTTNhoNM2pFBFF3GbHX68Xj8ZjQH0cn4r7Cdh90rxLiRqNhNgrEgRXHNRKJdAjYUChEqVQyglNG6KytreH1ek1fs8fjoVwu09fXZzZIUqkUsPn9S97XWCxGuVw2Pc+AEaTS9yrv7fDw8E393vYIHbme7cDaacqHnVsKWK31L2mtc1rrP2Oz9/WM1vpn7/zSHK8X4XCYsbEx92XQcRNOwDoOKk7AOnrhZsA6dkPEhS1gRQSKQ9lsNoHtEmKgI8hJHK5IJILWmkqlYm4v8zTFpZPbi5gRR7bVapnS47GxMQBWVlaMSyehT6VSqSPIKRQK4fP5KBaLRsBK4q30wcr6d+qDDQaDZpyPYxsZSSRu6U5jdGT8jbyfrVaLer1uEoelr7nVahEOh01psJRuZzIZcrkcyWTSlIiLY55MJk0v7MrKCuFw2GxMyAZJtVrtCHCynftgMEipVDKp2d3lwLaALZfLpgzafg3g8CcQw95CnLxKqR9QSv1vwD8DfkIp9VN3fmmO1xP3ZdDRC5kBOzk5ud9LcTg6kPT07j4vx72NbLpJa4zDYSNJwN0BXzJKR8bayIxYexSO9JC22+2OkSl2ErH0MAIdDqyIUrvsV8J4hoeHicVirK2tMTs7y40bN8hkMjSbzQ6nVASKBEOJ4K7VamY2rAhgO5zKRnp5ATY2Nl7/F/gQIyW1It52ciGLxaI5HqQk23brxcUVRz2bzVKr1UilUqysrKC1pr+/n7GxMarVKpFIhFKpRLvdpr+/3wje1dVVBgYGzIgdKS8GjAMrjj5sb3AUi0UGBgaMg7+bAysVA8LdJGD3Mvjx/waqwP8HuDksh5Tp6WmeeeaZ/V6G44AxOzvrZsA6DiTT09NUq1WWl5cZHx/f7+U4DgiuasSxG3ZJr02tVqOvr8/8LX2Qdp9sNBolHA6bHlSZHVsqlTqSgUUkV6tVWq1WxyidQCBgBImMQ4lGo4yNjZlS0/X1da5evUqhUGBmZsYkImezWYaHh1lbW0NrbebFplIp4vG4eW7pdBrYFNBSgiyiWtbi9/vJ5/MMDg6+ES/7oaBer5v3CTBlv9IbKz9TqRQbGxtEIhGWlpZYXV1laWkJn8/H3NwclUqFmZkZZmdnqdVqrKys4PP5yOVyAJw6dcpUAYiTu7i4iFLKJAh7vV4KhQJHjx417uro6GjH+J5MJmPcV9lImZiYoFwuc9999/UUo+IUS6/swMBAx2twrwnYKa31w3d8JY47yvT0NH/8x39smscdDtjsi3ZfBB0HETs93QlYhzAzM0MoFHIzYB09EfdRBIS4T9Vq1bhdtiNlJxEPDAyYJOFcLsfg4CChUIhCoXDTLFhxxaSMuFarEYvFzOUiemVup4zYGRwcJJFIMDExYURMNBqlr6/PJA/D5niVcDhMPp83IrXZbLK6ukomkyEcDtNut01iLWyWS6fTabLZLP39/RQKBarVKl6v15TMyvPf7QTs+ruw0+97xd5k6PW7ncDb6/fdTu12+6bfFxcXuXbtGkNDQ8Bmb6j0N9tcvnyZdDptggQLhQKFQoFEImHEYTgcZmBgwAjEs2fPcu3aNQqFArFYjNXVVbPWYDDIxsYGXq/XzHuFzWNyfHzclB739fWZXlgphZeEY9h0fCWEanBwsMNtFWzhLMFkNr1uc1jZi5L5slLqe7XWX7ndO1dKvR14GvACn9Ja/0rX5ceA3wOGgQzwlNb6xtZlvwq8c+uqv6S1/uOt8/8QOMdmGvLfAf9Ua+0K/W/B8ePHabVaLCwsuNIrh2F2dpbv/d7v3e9lOBw3YYfPfdu3fdv+LsZxYJAZsK/mC7Pj7see02r3w9pJxDYiYHO5nOmB9fv9FAoFRkdHCYVC5HI548BKj6n0QObzeSNQhoeHTWhPqVSiXq8bASsislwuMz4+TrVa5cyZM1y7do1yucxjjz1GNpvl9OnTNJtN5ubmuO+++0yZ6NTUFGfOnGFsbIyrV68SCoWoVCocOXKEdrttTlprI8bFBfb5fEbINZvNDnHXfYJOsXiQ6BbUO51skS6vu8fjMaOOJPxofHyc8fFx42DLeKP19XWGhoZ46KGHOHbsmHFnh4aGmJ6eNseVlHz39fWZcCY5/qT01+fz4fV6yefz+P1+kz5dLBZpt9tMTEwYpz4SiZgAJ9guebaDouS4toVwrxmwvQKcYNOBlXFAh529PINvAP+nUsrDpmhUgNZaJ3a7kVLKC/wm8D3ADeBZpdQXtdaXrKv9OvBZrfVnlFLfBXwceL9S6p3A48CjQBD4qlLqy1rrDeAPgae2bv9fgH8C/Pbenu69iz1KxwlYB7gZsI6DjUtPd/TCjdBx7IZSygjWcDhMJpMxSbKw/WVfKYXW2vQ2NptNkxorQU7insnM16GhIROKs76+buayjo2Nsb6+js/nI5lMmpTifD5PvV4nHA6bdONKpWICemTMzvnz541jViwWicViJngqGo2a0tRAIMDY2BjLy8tGTA8MDHSIkWg0itaa06dP4/F4GBoaek0ZF93C1v652++3onsDqtvh3enna6FcLlOpVBgdHaVarXLs2DGSyeRN12u32x1uqTy21+slFAqZkC87XEvSpcWdl3FOUnYuoVzNZtMkFMdiMQYHBymVSmitzQidoaEhc2xKCfrc3ByBQMD0QksvLNzswEajUdbW1kzPts3dMgMW9jZG5xPAtwERrXVCax2/lXjd4i3ANa31da11nc3RO+/qus6DwF9t/f5frcsfBL6qtW5qrUvAReDtAFrrL+kt2HRgp/awlnseuxzP4QCYn58HXC+Z42ASiUQYHR11AtbRgROwjlsRCoWMgG21Wh2BRxLkBHTMggXMCBQRvBKCo7XumAUbi8VoNBp4PB7jwAJmTmgsFjMOndy/XEccMo/HQy6XY2pqinA4zNramhG98XjclBcnEgnTUyvlpfF4nI2NDdOrayNrbLVaxGIx8vn8a3otxb0Ud9Lr9ZpxRD6fzwhpv99PIBDY88m+nYRViVsp44BsJ/W1orU2s3ElhKl7Pipsvm6SDC19xdIbK5sbstlQrVbxeDz09/ebub+Scu3z+ajX68TjcRqNhunBXlxcpFAo4PF4iEaj9Pf3k8/nzWsp6dfi8LfbbYLBIMViEa/Xa+7T5/PRaDTMayXrlBFOxWKRkZGRm167u2UGLOxNwF4FXtS3X08wCSxYf9/YOs/mIvCerd9/EIgrpQa3zn+HUiqilBoCvhM4Yt9QKeUH3g/8Ra8HV0p9QCn1nFLqOWl4v5c5cuQIHo/HfRl0GFwYysHCfWbdjEtPd9gUi0XW1tbcZ9YB4aB+ZkmKr4y8ge3+QRlpApvirHuUjpSENhoNyuWymdeay+XMF39JGvZ6vVSrVROM02638fv9xrkrl8tGsMosUNicZZxIJEzZ8vj4OPV63YQ7SX9tLpczqccy2gW2v8+l0+mbBKyssdFokEgkTBnxvU6tVjPJwq1Wy/SZ9rrexsaGEdWAcVtDoRBer9f8LeW4yWSSYrFIq9Uy5cUy+zcQCJDJZMhms7RaLV555RU8Hg/BYJBYLNYhYFutFrCdQFytVo2oL5VKVKtV2u02IyMjwPZmiL122DxuvF6v6fW1sWckH3b2UkKcAv6bUurLgPmXorX+D7e4Xa8tk24R/K+B/6SU+sfAXwOLQFNr/RWl1BPAM0Aa+DrQ7LrtbwF/rbX+770eXGv9O8DvAJw7d+7gFfO/wfj9fo4cOeK+DDoMTsAeLNxn1s1MT0/zjW98Y7+X4TgguBmwB4uD+pkVDAaNWAWMMJB0Xo/HY8pERbTK5YFAwJThVioVRkZGjAMr80NDoRAej8eIDnE5ZeZnLBZDa00mkzGunIRLwWZ68LFjx8jlcjSbTYLBIIlEgkwmw/z8PMFgkHQ6TSaTIZPJkE6nTZjP1NSUceIuX75MPB7n2LFjHY7l+vo6gUCAZDJJLpfj5ZdfZmpq6pa9o7cT4nTQetB3CnuSnxsbG5RKJbPpIP2m3T3A2WyW5eVlWq0WhUKBcDhMOp1mY2ODbDZLKpVieXmZdDpNKpUiHA6TSqVYWFhgYWGByclJMpkMg4ODpFIpfD4fpVLJOOwSrNRqtYhEImbEjryn4XDYlL5XKhXi8TjNZpN0Os39999PMpk0znF3ObBsVrRaLY4dO4bX673pdZKNjbuBvQjYma1TYOu0V27Q6ZpOAUv2FbTWS8APASilYsB7tNb5rcs+Bnxs67L/wqYTzNbf/47N4Kd/ehvruedxbobDZmZmxs2AdRxopqen+cIXvuDS0x3Adj+0E7CO3RBBKuJQSkZFwEqZZzgcplarGeFZqVQIBoN4vV4ikQj5fJ7jx4/j9/vJZDIApq9Qri+jbmDTEYtEIqZHMZfLdYTpSNmnPdPVDvc5deoU4XCYoaEhQqEQ58+fZ3h4GKUUhUIBpZQR53L+lStXTIKxhDOtr6+bHttyucyFCxdYXV3tGCP0erJbGvFrFbrdxZ+vtudW3O1oNGp6g3s502tra8zPz5NIJFhcXGRoaIj5+XkKhQJra2v4fD7y+bzZVBBXXdxYSRIeHBykVqtx//33c/36dUZGRnjiiSdYXl4mk8l0bIRUKhUzl1jGHokDKz3PhUKBI0eOGJEr17Hf00qlQiaTYXR01Li0NlIKfbeUEO/6jWAriCmmtf7pV3HfzwL3K6Wm2XRW3wv8w677HwIyWus28G/YTCSWx01qrdeVUg8DDwNf2brsnwDfB/yDrds59sj09DRf/vKX93sZjgPCxYsXOXPmjBMGjgPL9PS0S093GC5evAjAAw88sM8rcRxkxO2UPthSqWRCdmKxGF6v1wgO2EwslpLP4eFh/H6/CWoSoSEzV+2+zXK5TCKRoNlsUi6XKZfLxGIx09+Yy+Wo1Wo0m00SiQRaazweD6VSiXa7TSwWM2XCUg4ajUap1+tMTU1x9epVYrEYgUCAXC5HKBTixIkTZt2FQqFjvqjMoZVy19OnT/PQQw9x5coVisUiU1NTxl3eawrxTo7mXoOcXmua8W6CuPv3Xi6x3e+cz+dJJBL4/X6OHz/OwMDATe5zIBCgr6+P48ePc/LkSU6cOEGxWGR0dJRHHnmEeDxuSrP7+vp44IEHGBsbY2Njg/7+fvP70NAQ5XKZ4eFhXn75ZUKhEMPDw1y4cMGEhiWTSWq1GpVKxbxOMtpHHN54PM7c3BzRaJTx8XHm5uZMX7btwLbbbZaWlox43qk8Gu6OETpwCwGrtW4ppR5/NXestW4qpf458JdsjtH5Pa31S0qpXwSe01p/EfgO4ONKKc1mCfE/27q5H/jvWwfeBpvjdaSE+D8Dc8DXty7/c631L76aNd5rnD17lk9/+tOsrKy4GXoOzp8/70boOA40Z8+eBTaFixOwjvPnz3P//fffMSfJcXdgj9KJRCJG/BWLRTO3EzAlliJgc7mc6U8Mh8PGLY1EIh2zYGUerMzp7OvrI5PJmN5Wj8dDPB5ndXWVYrFIpVIxabder5dyuUytViOZTLKwsNAx/zWZTJJKpRgfHzfhPeLqlUolE+wEMDY2ZkJ9isUi2WwWgKWlpY5QIdh0INfW1ojH48RiMcLhMJFIhFAoRCgUwufz3TROxg5wOuxkMhkSiQSJRML0Hds90kK9XjcOvJwk3CsUClGtVmk2myaAS8rKNzY2UEqZ2b/lcplWq0U2m2VpaYl2u02pVGJ2dta4qseOHePFF1/klVdeATCbEQDXr183vbitVotTp06ZIKdwOEyhUKBYLJoRT7lcjuvXr9Pf37/j3HQRsN3JxIeVvVgvF5RSXwT+BCjJmVrrP7/VDbXWXwK+1HXez1m//ynwpz1uV2UzibjXfTq76FXyxBNPAPDcc8/xzne+8xbXdtzNSB/H44+/qv0ph+MN4ZFHHsHn8/Hss8/y7ne/e7+X49hnzp8/z1vf+tb9XobjgGOP0unv7wcwvYh2+aQItEqlYq4nAT/xeBytNYVCgWg0SjabNQmukvC7trZGqVTi5MmTLC0tkc/niUQi+Hw+BgYGuHLlCul0mkqlYsbdiFtbqVSMW3ft2jVgc8Our6+PVCpFvV43oru/v59EIsHq6iq5XM4I2GAwSDQaNT2wzWbTlJimUinGxsbMOJ7p6WlSqRQbGxumx9PGTha204C7U4flMklz7p67upfeWvl5q77aV1N+vJMbPDc3x8rKiikjHx4e7riOuMqXLl0il8uRyWS4ceMG9XqdhYUFEokE8/PzrK2tcf36debn5xkcHOTy5cssLS3x0ksv0Wg0mJ2dNe+vhDYtLi5SqVS4cOECmUzGuLPJZJJms0mtVmNoaIjjx4/T19eHx+Nhfn6e4eFhYrEYxWKRRqPB+fPnCYVCtFotKpUKCwubObkSGjU+Ps6pU6d2FKj3ooAdANaB77LO08AtBazjYPHYY4+hlHIC1sHzzz8PwJvf/OZ9XonDsTPhcJizZ8/y3HPP7fdSHPvM+vo6s7Oz/ORP/uR+L8VxCLBH6QAmPbZareL1etFaG5EoTq3Mb1VKEQ6HzZzXWCxGtVqlXC4TCATQWhOPx1leXjb3MTAwwMWLFymVSqb3ttVqsba2ZmZ7hsNhstksPp+PbDbLxMQEJ0+epFgs8uKLL/Liiy+adOJ8Pk+j0SCbzRKLxUzy8eLiIpOTk8YpBswaRGCOjIxQqVQYHh7uKBeVihZ57pVKxYgte+yPnGQsS6PRMP21cmq328aZ7R53I3/D7oJVrrvb9XqVDPe6n93EbqvVYnZ21pRzx2IxVlZWet5maWnJuKztdptUKkWpVCIej1Mul7l+/brZkJBS4nq9bgLAxLUX51zCuHw+n7mdHIvRaNQkFEtP7vr6ummb8Xq9XLp0iWq1ysDAANlsliNHjjA8PGwCqB599FHi8TilUomNjY2OsLBuarWa2ZC4G7jls9Ba/9gbsRDHnScWi/HAAw/w7LPP7vdSHPvM+fPnUUrxyCOP7PdSHI5dOXfuHH/+53+O1vrAJV863ji++c1vAriqEceeCAaDZDIZE8oknx0y2kTKPWWmqsfjMf2y8tPv95PNZhkfH6dWq1EsFs1oklgsZhzPer3OmTNnyGazLCwskM/nyWazFAoFLl++zHPPPUc2myWXy7GwsEAkEuHixYtmHqykIs/MzBAMBqnVaty4cYO1tTWy2SwrKytMTEywurrKiy++yPr6ugmgunHjBqurq6Z02ev1GndOen5FUMrrYLumsO1YB4PBDsdUBKyE/4hwlb9F1HZfJufbf0uQVjfdjml3v63crlffba/eXXlsod1uU6lUTACcjDmS4C177bVajRdeeIHV1VXa7Tb5fJ719XXS6TTpdJrl5WWy2ax57a9evWrmAS8tLZFMJqlWq2Y+rDx+vV7nyJEjTE5Oks/naTabDA4OMjIywsWLFwkGgzz88MPcd999psT8ypUrTE9Ps76+zuOPP86JEydYXV3lwQcfxOv1srq6SiQSMRs0lUoFoGdZtGAnbt8N3FLAKqWmgE8C/wObzuvXgH+htb5xh9fmuAM88cQT/MVf/IX7MniP8/zzz3Pq1Cni8fh+L8Xh2JUnnniCT33qU8zMzHDixIn9Xo5jn5Cqkccee2yfV+I4DIgDKmnD4oqKgBXhI8nAMt5kfX2dZDKJUorh4WFWV1dpNpsopVhbWzP9hXafba1WIx6Pc+LECTweD8VikVQqZUKCAAYGBhgZGWFxcZFQKGQcVhGKMn82mUyaNNpLly6xvLzM0tIS8XicgYEBM7Ll+PHjZtSPrNFOW15aWjIC/VaBTfbPO4msr5covZ2wqJ3WutP50h8sIl/Eu8fjMWOVZKRSKBQiFotx/PhxHn30UV588UUGBgY4ceIER48eJZPJUCgUaLfbnDhxwsyDzWaznDp1yiRRP/jgg/j9fgqFAvV6nXPnzpFIJIjFYmxsbJBIJIxrOjU1xZNPPmn6pBcXF4HNKoJyucwDDzxALpcjHo+bvu16vW5GOcGmgLVd+V7UajUzguduYC8+8qeB/wL88NbfT22d9z13alGOO8e5c+f4zGc+w+LiIlNTU/u9HMc+cf78ef7+3//7+70Mh+OWnDt3Dtjs3XcC9t7l/PnzTE9Pd4TwOBw70Z1EnMlkSCaT5PN5ksmkETsiCGS0TTqdNuJG+lnL5TJKKdLptBEIPp+PYDBoBApsurJ+v59QKER/fz9DQ0MopUwv7gMPPMDc3BxHjx41ScOSTtxutxkdHe0Ya3fu3DlisRjnz58nHo9z5swZ8vk8+Xyevr4+49YFg0GOHz9uelY9Hg+hUIiRkRHGx8eN82oHM3UHNPVyMnudL9iXC72MEfvy200U7i4l7lWibD+X7r/l91Qqxd/8zd9w6tQp2u02Z86cIRqN3nTMpFIpFhcXGRkZ4d3vfjfT09Nmk+HkyZMMDAyY8YNer9fM+71x44aZ8bqwsMCpU6dYWVmhUqmYDYhcLsf8/DzLy8s0Gg0mJiaIRqP09/cTi8VMD7bWmoWFBfx+vwkFE9Frh69Wq9UOsVqpVHZ1X6VsXB7nbmAvAnZYa/1p6+/fV0r9yzu1IMedRb4MPvvss07A3qOsrq5y48YNV4rnOBScPXuWQCDAs88+y4/8yI/s93Ic+8Tzzz/vPrMce0a+3IvrlE6n8fv9xqlUSqG17kgitiuSpLxXZnU2m01WV1eNYyejdCqVCtVqFcCM6Gm324TDYZNYXK1WuXz5MhMTE/h8PiMKl5eXSSQSpoRXhLD9HL7v+76PdDqN1+vlkUceIRKJ8LWvfc0kG0s5rDyuJCNXq1VWVlb2NPOzW/B1/9zryb4/+bnTZTv9bdNdRmyfZ/++k3Mrf1+9epV0Ok08HjeutDjfdk/vK6+8wssvv0wikSCTybC0tMTLL79MMpnE5/OZECfZBJHNkbm5OQqFAqlUyiRdN5tN0xM7MjLCmTNnuHTpEiMjI2itefOb38z09DTPPfccg4ODeDweqtUqN27cYGZmhkgkQrVaZXBw0Dx/O31d+rYFO+m6F41GoyPt+m5gLwJ2TSn1FPD5rb/fx2aok+MQIqmezz33HD/4gz+438tx7APnz58HXICT43AQCAR49NFHXZDTPUwul+OVV17hJ37iJ/Z7KY5Dgl3iK1/8Raw2Gg1TOizCTYKWJClYKWUcWHFzl5eXgU13V2tNKJsG/uQAACAASURBVBSi0WiQz+fN/YfDYTOOJxqNmj7UTCZjSkKLxSIej4e5uTlOnjyJ1+s1va/dDAwMMDk5yczMDJVKhdOnT5NKpUzpqM/no1qtks1micfjBAIB/H4/AwMDtNttU7FghyX1CkPq7l21hV33ebczQ/aNYKfAKDlJ6rKEGElQV7doL5VKtFotjh49ytTUFLOzs4yMjNDf38/09DS5XI5oNMri4iInTpygXq8zMDDA9evXzcbGfffdx2OPPcbS0hKFQgGttXFRC4WCmUm8trZGu93m2rVr+Hw+vvnNb6K15pVXXqFcLnPmzBkikYhxXyORiAnkEjdV3ttGo2FK5Xfibksghr0J2B8H/hPwH9nsgX1m6zzHIURSPV2Q072LCFjXS+Y4LJw7d44/+IM/6Ei+dNw7XLhwAXABTo69Y4/SCYfDJrTJ5/NRq9VMabCdRAwQjUbNqJVwOEyr1SISiRCPx7l+/TrXrl0zqbyRSMSkyArxeJwbN26YEtNCoYDP5+sIfRJhdOHCBVMKLDNj2+12Rymwx+MhkUiwtrbGX//1XzMxMUGr1TJlxBMTE8aB9Xq9ZixLrVZjfX3duI07uaLy03687jLcXu7srRza7sfqVV7cvYbu6/RyZ7uv2ysd2f4pYVOJRAKfz8fg4CB+v98EUTWbTUqlEtlslueff55Go4HX62VpaYlLly6xsbFhZvmura2htTYjk0qlErFYjBdeeIFCoUAymSQcDnP58mVWVlbIZrPcuHGDkZERrl27ZkYqDQ4OUq/XWV9fp9lsmr7nSqXC+Pg4IyMjTE9Ps7KyQi6Xw+/3c+zYMfMa1Go1s4ECew9wgntMwGqt54EfeAPW4niDOHfuHH/2Z3/mgpzuUZ5//nnuu+++jnIUh+Mgc+7cOX7rt36LK1eucObMmf1ejuMNRgKcnIB13A7hcNiE2ySTSTKZDNFolHw+b4RVo9EgHA6bVFq5PBqNEolEiEQi5HI5zpw5w9/8zd9w6dIl/H4/mUzGCIyrV69y+vRpgsFgR2JvOBw2Y1UikQiPPfYYMzMzvPLKKzz00ENcuXKFeDxOX18ffr+f2dlZALMucUWlXHlxcdGI7tXVVS5evMjAwAC5XI7Z2VnGx8eN2NzY2CCTyZjgH7sc1xZ+Ii7t3+FmMdnLTe0OWXot7KU0eLe19EKShc+fP282FIaHh1FK3TQeSJKb/X4/6+vrzMzMkEqljFCUZGGv10skEjFiNRqNmtmtQ0NDRKNRlNocxyRlu8PDwybsKxAImLL0dDqN1ppIJILf72doaIhgMEgqlaJarbKwsGDErKRfA2azRcToXgWsUmpPJeWHhR0FrFLq53a5ndZa/9IdWI/jDcClet7bnD9/nre85S37vQyHY8888cQTwGaQkxOw9x7nz5838w8djr0Si8VYXFw0Y0uy2awRhc1m05RixuNxM39T+mCl3HRgYIArV67wpje9iYsXLxKPxzl27BhXr16lXC5TKBTIZrPMz88TCARoNptm3MrGxgbr6+tcvXrV9Cy2Wi0ymYzpd11ZWWF4eJjh4WGy2SzRaJTh4eEO51P6ZY8ePcqTTz5JtVqlUqlw9epV1tbW8Pl8tFotEomECWqS0uJgMEg4HO4oEYad+0bt84Re4rIbOd92SG8lgnu5rXId2QSwhfdu5c327+K6ttttyuUy5XLZbEgkEgmzIRAMBgmFQoRCIVKplDlvYmKC8fFx0uk0gUCAsbExgsGgmZ0rr7UEeDWbTWDTfZeRSM1m07znY2NjFItFGo0GU1NTTExMMDk5SS6XY2hoyBgKjUaDxcVFrl27Zpz406dPd4hX2BawtgPr9/t3ne8q4vluMq12c2BLPc6LAj8BDAJOwB5S7CAnJ2DvLdbX15mdneWDH/zgfi/F4dgz0g/07LPP8tRTT+33chxvMM8//7zr2XfcNrFYDNgcoyIuZ6vVwufzsby8TDKZNA4sbAqDWCxGPB5nZWWFYDDI2NgYFy5cMAE4y8vLPPHEE0YMi9N69OhRRkZGqNfrJBIJvvrVrxKPx5mbmzP9lzJjtlKpkEqlqNVqXL582SQXLy4uUiwWGRsbu+m5rK+vs7KyQqFQYHR01PTYttttqtWqce1ENDYaDcrlMuvr66Z8trs0uTuZGOgoC4abS4579bva43F6CU77ut2CU04iWIW9toqIK2qf7KAteU1PnDjBww8/bAKTup/TysoKR44cwev1cvz4caLRKIODg0SjUTPGJpFIkEql6O/v5/jx42QyGfL5POFwmGQyyenTp81jS7lxPB5naGiIF154gWazSSQSIZ/PEwwGmZmZQWtNNpulWCzi9XrZ2Nggl8sxPT3Nww8/fJN4lePU7/d3JGjv5r7C3TcDFnYRsFrrT8jvSqk48C+AHwP+CPjETrdzHHzOnj1LMBjkb//2b/nRH/3R/V6O4w3kr/7qr4BtR8vhOAz4fD4ef/xx/vZv/3a/l+J4g5mfn+fKlSu8//3v3++lOA4Z0WgUj8dj+hMHBgZYXV01PYnSw2g7WdFolMnJSdbW1shms5w5cwav10smk6Gvr4/l5WXjdIl7V6vVyGazTE5O4vf7OXPmDNeuXWN9fZ2hoSFTJjw5Ocn4+DivvPKKGauTzWbx+XwMDw/j9XppNBqcPHnSiDw5nT17lnQ6bfpfx8bG8Hq9RKNRotEoPp+Po0ePEovFqNVqxi2Ux5aS2Wq1ahxCGf3Si53G39j9r71G1nT3yPb62z6ve7SPCOzu69vny+8i4HqtW35euXIFn89nwpi01sZ9l9P6+jpra2sMDAyYPtXV1VUymQytVouVlRXS6TR9fX3Mzs4aIZhOpymXyywtLXH06FFSqRThcJhqtcrc3ByZTIaxsTGy2Syrq6sMDAwwPj5Os9lkdHSUUCjE5OQkDz/8sHHRv/71rzM0NMRb3vKWHUeGVatVc8zW63XK5XLH+KVe1Gq1nqODDjO79sAqpQaAnwL+EfAZ4HGtdXa32zgOPoFAgO/+7u/mc5/7HB/72MduuXPjuHt4+umnOXHihJsB6zh0vOMd7+CjH/0oL7zwAg8//PB+L8fxBvHJT34Sj8fjBKzjtlFKEY1GTX/r4OCgGS0Ti8VYXV1lcHAQwKTQSh/jyMgI8/PzJslXBEgul2NtbQ2v12t6GQEymUzH4548edKMv9nY2GB4eJjV1VUmJycZGxtjbW2N8fFxjh49it/vN2KoXC4Dm+6xpM4ClMtlhoaGGB0dZX5+nmKxCGBcR3FixTX0er0Ui0USiQQnTpzoEIHdLqwIWbv81i7DtU+9Snb3mlK8W7my7dzaY3NezXsuPyW9XMprNzY2zGX2aXFx0bily8vLlMtl45YODAwQj8ep1+uMjY2RyWQYHh5mYGDAhD8lk0keeughxsfHGRsb4/Lly3g8HsLhMKFQiEqlQjAY5NixYwwODpoS81wux+joKFeuXDEbCel0+pbzrqvVqrlcjrvd5rvKZsU948AqpX4N+CHgd4A3aa2Lb9iqHHecj3zkI7ztbW/j05/+ND/5kz+538txvAH83d/9Hc888wy/8Ru/0XPn0uE4yHzwgx/k4x//OP/+3/97Pve5z+33chxvAMVikd/93d/lPe95D0ePHt3v5TgOIfF4nKWlJVqtFuFw2CQHi2OWSqUYHx8nFAqRzWY5evQoSimmpqa4ePEis7OzTExM8MILLzA5Ocnq6irLy8tEo1EajQZ+v59arUY+n+9ISRexubCwwOXLlwkGg3g8HjMOpVwus7CwwJEjR3jzm99MOp3m+vXrpNNpXnzxRcLhsJlDGwwGWV9fJ5/PMzExwfT0NPV63TipUgadzWZN2rHtLN5KEL7apGHptd0pfbj7d/n7Vr93s1PfrR06ZV+31WpRqVT45je/SaPR4OzZs5w6dYpAINAhniVZuF6vMzIyYjYMZPTRysoKoVCIpaUlGo0G165dY35+nkKhwEsvvcTc3BzNZpNyuczc3Bw3btygr6+P559/3vS/yjFXKm12ZebzeYrFopnXOzExweDgIIFAwPQtT01N7fhadItRCSbbTZzejQnEsLsD+6+AGvBvgY9aB5diM8QpcYfX5riD/L2/9/d48skn+bVf+zU+8IEP7Nr87bg7ePrpp0kkEvz4j7spWI7DR39/Px/4wAd4+umn+eVf/mWOHz++30ty3GE+85nPkM/n+fCHP7zfS3EcUqQPVsqIh4aGmJ+fp1arkUgkyOVyxjFbWloyrqXH4zEJtj6fjytXrhh37utf/zqnTp2iVCqZECfYLHdPJBIopUzJ5qlTp7h27Rq1Wo2ZmRm8Xi+lUolMJkMulzMlq7abK+6qBD61Wi1ThloqlYhEIkZw+v1+I8xKpRJ+v984sNVqlWKxyOjo6E0iU7Ad1Z2Ckrp7Vm2XtPs2cp7ct/zcKTSqu2fWvny3ETn2GBw7mEsCldbW1pifnzdlwxcuXKDRaFCv1015dblcNs61iOFLly5x7NgxvF4vKysrZsZuJBKhUCiYFGgZtSRluYODgwSDQZLJJNFolMcee4xoNMqb3vQmVlZWWFlZ4e1vfztaa5LJpHHLH3nkESYmJoBNlz0UCu1aFWkHOFUqFSqVCkeOHNn138A9J2C11q952J5S6u3A04AX+JTW+le6Lj8G/B4wDGSAp7TWN7Yu+1XgnVtX/SWt9R9vnT/NZh/uAHAeeL/Wuv5a13qvoZTiZ37mZ3j3u9/Nn/zJn/C+971vv5fkuIMsLi7yhS98gQ996EMmZdHhOGx8+MMf5pOf/CSf+MQn+OQnP7nfy3HcQdrtNk8//TRvfetbefLJJ/d7OY5Diow1KRaLRsC2222+9a1vmRmxgUCAwcFBcrmcCWXyeDw8+OCDwKaYisVirK+vdwhK6SmVPtZyuWwShAHm5ubw+/1Uq1VTPjw7O2uEFMDs7Cxer5dkMgnA0tIS6+vrDA8Pd4g2GZ0jbquEHkmpb7lcZmVlhQsXLhCNRtFaUygU2NjY4Bvf+EZH1ZUtYnfqZd3JfZXn1stZ7U4ctkf0yHlAR2CTiF07dbhbqMqpe+5rt5AVN7rRaJjzgsEg3/rWtzoeXwKtwuEwsViMVCpFu90mm80SDod56KGHWFxcJBKJcPr0aTOftVgsorVmamqKxcVFlFIUCgWKxSKPP/441WqVxcVFxsbGeOKJJ5ifn2d4eJjz58+TTCYZGxtjbm6OQCDAzMwM8XicSCRiXjMpH9+rgF1bW0MptWv5MNyDAva1opTyAr8JfA9wA3hWKfVFrfUl62q/DnxWa/0ZpdR3AR8H3q+UeifwOPAoEAS+qpT6stZ6A/hV4D9qrf9IKfWf2UxF/u079TzuZr7/+7+fBx54gF/5lV/hve99710Vr+3o5Dd/8zdpt9t86EMf2u+lOByvmqmpKZ566ik+9alP8bM/+7OMjIzs95Icd4gvfelLXL16lc9//vP7vRTHIUbSeqUPVinF6Ogofr+/w0GVwKelpSUjKjweD8FgEKUUZ8+eZX19nVQqZYSAhDgVCgXTQzswMGDEooi9vr4+isWiGY3SbDZZXV0lGAzSaDTI5/OcPHmSeDxuHMFgMGiSZqVCTlzd4eHhnkm+yWSSSqViyqA3NjZMibSEBPXqZd3JgbVnxfZKFYbtubI7lfna9LpOL4FrI72hvR7fDnIKBAKEw2EzNsjv97OxscHo6ChDQ0P4fD48Hk9HybO8P61Wi4GBAZaWlojH47zjHe8wKdIDAwMMDAxQqVTIZDJGIKfTaZMy7fV6efnll4HNtOj+/n6y2SzVapXLly+TyWR48MEHUUqZ0KW1tTVGRkZMGBNANps1o312QtziQCBg5vzeararuMV7TXY+LNzJutG3ANe01tcBlFJ/BLwLsAXsg4DUBv1X4P+yzv+q1roJNJVSF4G3K6X+BPgu4B9uXe8zwM/jBOyrwuPx8JGPfIQf+7Ef4zu+4zv44R/+Yd7+9rczNTW16z8gx8Gn1WqRTqf56le/ymc/+1n+8i//kne9611MT0/v99IcjtfET//0T/P7v//7vO1tb+O9730v73rXu7jvvvtMqaDjcCLjJC5cuMBnP/tZ/vRP/5SpqSne85737PfSHIeceDxOKpWi1WoZwSPzOcfHx01y8PDwMDMzMwwPD5uZro1Gg4WFBZLJpBGhx48fp91us76+boJ9RDRlMhnGx8eBTaevVqsRi8XIZrOkUilisRj9/f0mWCgWi7G0tMRLL71EIBCgVCpRKpW4evWqcURhM6xJhPLIyMhNo2NEREp68uDgoEksDgQCZkap7baKqOk2L+S+epUbd/++UxnwTmJV7r8Xdt+siFOfz2cc0+7f7Z+2mG21WuRyOVZWVjhx4kTH/NPu/txyuYzf7ycej9NqtSiXy3z+858nlUqRSCRML/P169fx+/1UKhVqtZoZuyMu6+zsrBHJxWLRbECIOBY3X5z0drvN6Oio2QxptVoUCoVbbspKArGUMkv58W7cjSN04M4K2Elgwfr7BvDWrutcBN7DZpnxDwJxpdTg1vn/Tin1H4AI8J1sCt9BILclbOU+d8+OduzKU089xeLiIn/4h3/Y4c4lk0mGh4cZHBxkcHCQ/v5++vr6SCaTxONxc5IIdxkSHQ6HzUl2J++24cl3Chl8LUPK5We5XDb/qcmOsZzy+Tz5fJ5cLsf6+roJbUin02ancmpqio985CP81E/91D4/Q4fjtfPAAw/wuc99jt/+7d/mF37hF/j5n/95AJMcan9mJZNJ+vr6SCQSHZ9ZsVhs188sCVxx7I7Mt+z1mSWfW8VikWKxaD6zZM5hPp8nk8mwtrZmZlw2Gg0AEokE73vf+/jwhz98S3fB4bgVImBlHixgAns8Hg+NRgOfz8fExATpdBqfz2dmsYpYXF9f5+jRo1SrVfr7+7n//vt55ZVXTNqvz+fjrW99K/l8npGREY4ePcrq6qo5vpeXlwmFQly/fp3+/n48Hg/NZpPTp09z7NgxtNaMjY1RKBSYn59ncHDQjNVpt9s0Gg0ymQwbGxtm/mur1TJhTkK9XmdxcZFqtYrX62V1dZVisdjROtQtLm1BJ69Jd3mwfV73HFURjt2lxvZ1bDG+02id7su01sbxtNfu8XiM82uv0X7cdDpNtVrtSHIWbDd3cXGRSqXC8vIyly9fNp9pQ0NDJBIJQqEQq6ur5r42NjZMCrAI1Hg8TigU4sSJE2QyGbxeL4888gi5XA6Px8Pk5CTxeBytNfl8no2NDZNwLM8hn88bF303arUazWaTmZkZPB7PLa+vtTYJ1ncbd1LA9lIs3Vsy/xr4T0qpfwz8NbAINLXWX1FKPQE8A6SBrwPNPd7n5oMr9QHgA4BLL9wFn8/HRz/6UT760Y/yrW99i2eeeYbl5WVSqZT54F1aWuLSpUtGKL2aiPNgMEggEDA/5eT3+83J5/OZn7122noNrN4tPa9XMp79s3s3cadTr+AAO2peTvZcNbsfw+7LkN4X+Vmr1czp1byu0WjUbC4MDg5y6tQpvv3bv/3/b+/cgxvLrzr/OZYlWU+/5Ee723a/px+T6ZmemQRI5cGwkMCyy0IoCibZTYBallTCsmxla8mySwUKKhRQtbCEgkqFkAWWDRCWTagKm0zNBrIhr0lmJj2T7nTcbffDtmzJsh6WbMmW/Ns/pN+d69uS255uty37fKpu6eo+pKMr+5S+97wYHh5meHiYs2fP8sY3vlG7DrcB6rO2ztNPP83TTz/N3Nwczz77LDMzM8zNzZFKpZwbOZOTk+RyOXK53IYfQFvF7/ff4bdsw5St+iyvr/I+tvJZ0LzGrJnPcq+3ar7SzF95l818lrv5iZ0xaX9IbZeuri56enro6emht7eXsbExHnvsMYaGhhgeHubo0aO85S1v0fFubUC7+Cw7J9VG1dwRPvt/ValU6OrqIhaLkcvlnMhWIBAgHo8zMzPD0NAQvb29VKtVrl+/7jTdAUgmk8zNzSEivPTSS0xNTWGMcdJOV1dXeeyxxwDI5XJOmmk4HKa7u9tJKT18+DAiwsDAgFNPa/1AoVBgZmaGY8eO3ZElZ39/VKtVJiYmEBHC4bAjyO24Hm/E1J2S6/Yv7qZM3v3e3yru59bWZr9nmkV13X7N7fvssc06Fbt/wzX7nWaMcSKV1vcZYxwfZxebyhuNRsnlciwtLRGLxTh16hSPP/44PT09+Hw+bt68SU9PD6FQiEgkwujoKCdOnGB+fp5sNutEV4eGhigWi5w4cYJgMMjy8jI+n4++vj7i8TjVapXFxUVWV1eJRCIbxGcul3PGO3mvmf37KZfLTE5O0tnZyejoKKdOnbrrbzvbqGo/9j7ZSQE7DbhbYx0BZt0HGGNmqY/qQUSiwNuMMfnGvl8Hfr2x78+BCWAB6BGRzkYU9o7XdL32h6mPAOKJJ564e3K+wtmzZzl79uymxxhjWFlZce6m2zvs7kihvQtvUy3K5fKGHz1u8WZ/HLl/MNkaAXchvvuHlvuHmHVY7nWvALV2ux8tze7gtbqL6BbMzQS1+0errV0JBoNEo1Hnh65dbHpJMBh0fhzb+g3bhc4uNkpko0bRaJRYLEY0GlVhuo9Qn7V9hoeHefvb337X4yqVyh0+yx0lbOWz7NLMZ7n9ls2esD7L67e8N74281lw549J93qrxinNmq+4hbJXUHsXtyAPh8NNfZYV79ZvuSPWzXyWO9ptI+AaUd0/tIvP6ujoYHR0lKmpKebn553oqk0TBhwB29PTw+3bt8lms05zHBsNXVpaIpFIOGNPLl++TCwWI5FIkM1mqdVqjI6OOs197HgV63PsjbTJyUmq1SrFYpFMJkN/fz+pVIqJiQkOHTpELpdjbm6OY8eOOeNV7KzXYrHIwsLChlpbizEGn8/H2NgY2WyW5eVlyuUyS0tLTnqrrQNtdXPNK+7d27y0+l11tzTiZvubpSK7faTXZ7oFtrc2NpPJOGm8VsBZ7Pze9fV15/s8evQouVyO5eVlDh06xPHjx4lGo06Trnw+74wnSiQShMNhKpUKMzMzrK2tUSqVqFarDA8PE4/HGRwcZGZmhmq1SldXF/F43Jn1u7CwQLVada6vvcFx7do14vE4U1NTdzSkslQqFQqFAhcuXODcuXNbyhKyHa1tt+T9xE4K2OeAU1LvGjwD/Div1K4CICIJYNEYsw68n3pHYtsAqscYkxGRR4BHgM8aY4yIfA74UeqdiN8JfHIHP4Piwd7VC4fDDA0N7bY5iqIod8UKrv2YRqUoyt3p6+sjl8sxOztLd3e3033YCthyuexkMi0uLjI5Ocnw8DAjIyNO6dT09DTLy8v09/dz8eJF8vk88Xic8fFxSqUSAwMDPPzww5w5c8YRIZOTk7z88stOPWZfXx+JRILp6WmuX7+OMYZgMEgkEiGTyZBKpYB6tHVqaopwOLzhxlQqlXKEtjsDzS063eJzeXmZdDpNrVYjEAjc0QzJ3ajJmyYMd79J1iz1157XKs3XjVfkus9pFrF1n9PsJl+pVKJQKDg3+G23Z/d7r6+vk8/nKZfLDA8PUywWmZ2dZWFhgUgkQqlUcm44ZjIZ1tfX6e/vdxp4FYtFp145Eok4NxlEhEwmw7PPPks6naavr4/19XWSySRXrlwhlUo53Y1FhPn5eUTqHbJTqRThcJhisejcNAyHwxtuIBYKBQKBACdOnNhyiYu7Hne/sWMC1hhTFZH3Ap+hPkbno8aYb4rIrwJfM8Z8Cngz8EERMdRTiN/TON0P/L/GH1uB+ngdm6v0H4GPi8ivAS8Af7RTn0FRFEVRFEVpf8bGxlhaWmJqaoqRkRF8Ph+1Wo3Ozk5nPInP5+Ohhx7i1q1bzM3Nkc/nCYVCJBIJrl27xu3bt8lkMk5DxImJCUZGRjDGMDs76zQEsmKpp6eHSqVCOBzm+PHjPP7443R0dJBMJvnkJz9JrVbj0UcfdWoVs9kshUKB2dlZqtUqg4ODG+acWpv7+/s3dAd2L7Zzr1tgrq2tEQwG8fl8GGPo7OxsmjJsha17vmqzTLZW29wisVn6rxtv2YR7W7P9zbJL7HNj6qOGcrkc4XCYSCTC2tqaY5NbsNvoZiwWIxgMUi6XSafT+Hw+5yZnPp8nm806TbNsnX4gEHBGFk1MTBCJRCgWi1SrVa5cuUI6nQZwesbYVGbbiyEej1Mqlbh48SIPPfQQPp+P27dvE4/HefTRRzftF7OwsOBku2wVd933fmMnI7AYYz4NfNqz7Zdd658APtHkvDL1TsTNXnOSeodjRVEURVEURbkrnZ2dHD16lMnJSa5fv04ul2NhYYFwOEwul3PKeAKBAEeOHCEajbKwsECpVHLqFq3g+NKXvkSpVOLatWtcuXLFqW20gtam0ofDYW7cuEEymXRKqQYHB51GUTYK19/fz/r6OocOHXJqJaempujt7SUSiVCtVjHGkE6nWVxc5OjRo8DGWtVWNa2BQACfz+d0R24mQC13K2Nw16t6I6StUoa9NavedW8NrRXg7te0KcS2ZMNd0lGpVJzyDJsWnc/nnWOtYLXHQP1GRSAQYHa2XoWYyWQIhUIUCgUKhYKTbTgwMEBnZ6fTAbqrq8vp4NzX18fhw4cZGhoiHA7T29vLzMwMiUSCM2fOOD1jLly4QCAQ4Nq1a+Tzefx+P0ePHiUSiVAulymVSvT09GwqXo0xFAqFu858dVMul6lWq/u2Q/+OClhFURRFURRF2Qt0d3dz4cIFlpeXSaVSTrro3NzcHT/0rVDx+/2EQiGGhoaciOwjjzxCZ2enM34lk8k40TdjDKVSiWw2S7VaJZPJMDExwa1bt7h06RLDw8P4fD6y2SypVIpr1645s1rd/TTm5+eZn5/nyJEjzsgb25G4VCoRCoU2RFntvFhrA+B0ybWdkt1i0dsACV5J/fXOe3UfC3eOzGlVz+rd5o4Se/sDePuduBtTWQFvBbExZkPqtBWkfr+fnl9WBgAAIABJREFU1dVVRITOzk6CwaDz6G4iatO2o9EoHR0dPPfcc4yNjfHa176Wrq4uIpGIc669aVEqlQgEAty8eZNoNMrAwAAnT57E7/czODhItVplZWWF0dFRxsbGyOVyHD582OmEbGuhBwYG6O7uJp/PMzU1hYg4ddmtKBaL1Gq1bUVTbf2rClhFURRFURRFaWM6OjqIRqOEQiGy2Sx+v5+1tTXOnz/vjKZxTwuwTdrW19epVCoUi0WnK7GtW+zv7ycYDGKMcbppA07U8JlnniEWiznpyF1dXaTTaUKhED6fj2g0SjAY3CDiwuEwc3NzXL582RFdAOl0mrW1NaLRaMvGlO7H5eVlMpkMIkIwGLyjo7nFG111b2+VPtxssfuaNapr1rHYPtrGcTZF2N3Z3QpP2zTONpFzN5+zi1uk2lGO3tmx7hrSXC5HOp3mySef5PTp003/ZpaXl4lGo0xMTFCtVhkaGuLGjRtEIhEqlQqhUIhbt2459bL5fB7A6TS8trZGJpOhUChw6NAhJxU9HA5z4sSJpuN+3OTzeUSEeDy+6XFu7E0Lb8fq/YIKWEVRFEVRFOVAYYWRO6po59o34+jRo0734f7+fs6cOUM8HufWrVtUq1VisZgjRDKZDNFolHA4TDQa5dChQ850hbW1NU6ePMnAwACBQMBp+GPrat21pysrKxQKBafpENS70Vox4+0Y3GysYLVadWaG9vT0NE0z3iyC6k4BduNt9OQdbejucmwjyFZwWiHpFp3uDufNxpBtlmJ7LxQKBYwxLaObpVKJhYUFisUi6XSa8+fPOzXEIsLq6iqpVIpLly4Ri8WcrsK2U/Hq6ioLCwt85StfYXl5mVOnTpHP50kkEoyOjm6pIVOhUCAWi21rPnmxWNy30VdQAasoiqIoiqIcQGzdI9RrBsPhcMtj7XioQCBAPp8nHA4zMjJCoVCgXC4TCoWIx+MMDw87Y2xsJHd0dNSJ9i4sLDA7O8vhw4c5c+aMkxrc39/vzB61os0d2VxbW2NlZYWpqSmSySRHjx51UoptwyK4U2j6fD7W1tYIhUKMj487AtKm2drROpuNCXRvd+9r1ll4L+JNl3aP45mdnaVcLlMul7l586YzUs2OjFxYWGB6eppYLMbKygoDAwM899xzTExMMDc3x/r6Ot3d3Y7I/PKXv0ytVmN8fJxarUYoFKJUKrGyssLFixd5wxvesK2xNqurq6ysrNDf37/lc2xt8MDAwKu5XG2BClhFURRFURTlwBEKhcjlcgBOhLMVIuJEVW09ox3X4vP5KJfLrK6u0tvby/DwMGtraywtLbGyssLq6irZbJahoSFyuRxXrlzh5Zdf3lALa+fA9vX1Oamy4XDYWbfvk0gkyOVy1Go1xsbGHFG52bzpWq1GLpcjEols6Di8srLSNJ14q7g7BTdb7DHNHr3rm9GqoZRXjLrTlm39rE0DdzeAsqJ/dXXVacKVy+U2iFw7H3t5edmJsFcqFTKZDLOzs9RqNTo6OhgeHnYadg0ODhKNRjl9+rRzM2RhYYGJiQmGhob47u/+7m3PZLXpyNupf11aWgL2b/0rqIBVFEVRFEVRDiBdXV1O+qv90b8ZkUiEUCjE0tIS+XyeWCxGNBplbW2Nrq4uCoUCpVLJmb3Z19cH1OfQ+v1+RkdHuXjxIoVCgVQqRTabJZfL8cILL5BMJkkmk07dok2tdafhBoNBOjo6yGazTsOgrq4uJyXXRlVtlNWK21KpRCqVQkTo7e119tlz3KNmLN6aVW/qcbO0Y/dia2nvNoanmRAF7qihdYtUtzC325vt976XW0Rbgbq2tkYikWBkZMSpnbXX3efzcePGDXw+H1CvaT158iTz8/OOYD158iSpVIq+vj4GBgaIRCJMT0+Tz+fJ5/NkMhlqtRpPPfWUUxO7HfL5vFPPuxXs7NlAILBpRkG7owJWURRFURRFOXDYmZp+v9/pSGzFSjNs8yebWnrkyBFisRj5fJ5IJML8/DylUskRru738fl8rKysMDg4SDgc3tB59s1vfjOzs7PMzs46r1EsFqlUKs4xdnSMFaVLS0tMT08Tj8cxjdmu7npY2FinOj8/z82bNxkeHnZqOL1i0x5r2cos11Z4I7utOht7X6NVk6lmtrhTmq24dwt4W2frfgwEAhsaOS0tLXH48GEefvjhDQLXGEO1WnXE49LSEt3d3WSzWWcma7FYJJVK8a1vfYtIJEI2m3Vs9Pv9ziie4eFhBgcHW16rVmQyGfL5PENDQ1s+J5lMUi6XOXXqVFukd79aVMAqiqIoiqIoBw4b1fL7/ZTLZZaWljaNksViMafzbDabpVKpOJ1hbRfibDbL6OjoHedGo1FntImX7u5uuru7OXv2rCNUK5UKy8vLlEollpeXWVlZoVwus7KyQrVaJR6Ps7S0RCKRwO/3O6NmbFTSG1UdGBhgfn6eYrHIoUOHNohbb0Mmu9hUWis0vcfa2atu4ecWTe7mS83exx7jfW9vIyrva7hfd7Norve5TSW20drl5WXS6TTRaJRvf/vbGyK6xhjnRoW9viLCzMwMuVzO6ULd0dFBIpHg1KlTDA4OOlF52wG5UCgwMTGx7WhoOp3m1q1bxONxRkZGtnTO8vIy8/Pz9Pf3b6tjcTuiAlZRFEVRFEU5cHR0dNDV1eWIokKhsKmA9fl8HDt2jKtXr7KwsEA+n2dwcNBJxQ2HwySTSV7zmtfcEf2KRqPk83nW1tbw+/0t38OOgYnFYi2PWV9fZ2lpiZdffplarbZhBI0Vlu6ZrnaW6qFDh5idnXU6MFu77Ws2E3/VanWbV3Vv4BXE3gZUnZ2dlMtlgsEghw4dcmbx2kgtwM2bNzl58iQiwsDAAKOjo3zxi19kfHyckydPcv78eZaWlpiZmeHChQsbZvFalpeXgVei/W7cotrW5K6urlIul8nn83R3d3P8+PFNuw9Xq1UqlQrlcpm5uTk6Ozub3kDZb6iAVRRFURRFUQ4kXV1dlMtlYrGY05F4M4aGhujr62N6eppsNsvg4CCDg4PMzs7S2dlJJpNheXn5jmY9VpAWi0V6e3vvyeaOjg66u7t58sknyefz5HI5isWiE3G1gsfWeUYiEXw+HyMjI/T391MoFDaM4LGizQo49xxWbwfiVpFReCUa6h5NtB28kdxmi/u93cK02eKNGnt5/vnnAfjBH/zBO2pMJycnOXz4MIODg8zPzzu1rpVKxYm8dnR0kE6nnWiurcF11+NOTk5SLBa5efOmU59rRas91nvToLOzk0gkQjweJ51Ob5gPbG9G2Ndwp1t3dHRw4sSJTdPg9wsqYBVFURRFUZQDie1EnEgkyOfzVCoVgsFgy+NFhGPHjnH79m1u3LhBIpHg0KFDlEolFhcXKZVKXL16lUcffXSDcLKi534IWEsgEGBgYMAZl+KO5tnFih0rfgYGBuju7nZGxdjxPFYguZdWArSV0LSCeLPZtG5h6U0Xdr9+q27G3ve3NKubbdZACl6ZtfuFL3wBv9/PV7/61Q3RZxtV7e3t5etf/zq1Wo3p6Wmmpqa4ceMG8XicXC5HMplkcnKSSCTC7OzsBiFq3+/27dsEg0HK5fIdn9neJPAuUK95vn37tvM53ZFjv99PKBTaMEfXjnjaz3WvblTAKoqiKIqiKAcSm9oZCAQAKBQKd52fOTQ0xMjICPl8nmeffZaTJ09y+PBhYrEY1WqV559/nvX1dcbHx51ROD6fj0gk0rIO9n5gBVCzdNVWuKOFzTr6uqN99rl9dHf99Y7wsfW43g7CNmrojtJ6Ox5761m3y1ZG+NjOzOPj4ySTSSeF19Yf27rXpaUlOjs7mZqaYm5uDr/fz7Fjxzhx4gQrKyvEYjFGR0fp7e11ukXbZlLGGPx+P8PDwwwNDTUV8t6ocas5vMpGVMAqiqIoiqIoBxIr9owxBINB8vn8XQVsOBzm8OHDdHd3Mz09zZUrV5xoWa1W48aNG9y6dYv+/n5CoRDhcNhp/mQFXCwWc8bteDvnPkjBYoVTs/rNvUqzubDe/e7aX/cc2LW1NSqVCi+++CK9vb2cOnWKYDDodH62orJcLjtp4T09PUQiEU6cOEE8Hud1r3sdgUCAy5cvMzIywrlz55p+Z8lkkiNHjnDu3Llt3VRQ7k77/LUqiqIoiqIoyn0kGAwiIpRKJeLxOJlMpul4FzfhcBifz0csFuOpp55ienqadDrN0tKSU0uZTqedrsTJZJL19XUqlQqZTIZLly4RDocJBAJ0dXU5s0cDgYAjaN3bvULXLXjdqaXu+a6bpet6U3NbperuJO6UXXek1h3Jddd92m1uUeqOBrtTpt0NkdxR1Uql4mybmJhwvhNgwwgev9/PwMAAr3nNaxgcHGRgYIB4PM7c3ByFQoGuri5mZmaoVCqcPn26qXhdX18nlUrR3d2t4nUHUAGrKIqiKIqiHEhExJnvOTY2RjqdJplMbjq6xHYvXl5eRkQYHR1ldHSU9fV1yuUyFy5c4NKlS0QiEQYHB6lUKiwtLZHP5/nWt74FQF9fnzMap1Qqkc/n72jqY7sJe8fYeJsp2W7C3hpUd/Mld1qq/dzeZkzu8TTeWbL2HDduoe9t4NRspI03Rdnb+dieawVts0f3ee5z3K/lrsm1jazcDa06OjqIx+McP36c8+fPE4vFiMfj9Pb2OtHWZkLeNuey42oSiUTLbtGLi4tUq9VtzXBVts6OClgReSvwu4AP+Igx5jc8+8eBjwIDwCLwDmPMdGPfbwL/FOgAngF+3hhjROQngP8EGGC2cc7CTn4ORVEURVEUZX/S19dHLpdzZnomk0l8Pt+m4iMcDrO0tLRhW0dHB+FwmHA4zNraGqlUyqmTHBoawu/389BDDzE9Pc3IyAi9vb0boog2QlipVKhWq3dEEN3HejvS2ud29I1b4G0mLu1zK5QtmzVFsrSK1rpfzzsbdqvdhe2jFdzeaLONSNsmRu4ItntbMBh0lq6uLvx+P1evXuXatWu8/vWvZ3h4uOV3DK+MqVleXmZ6epru7m5KpRKdnZ0cOXKk5Xnz8/OEw+FNxyEpr54dE7Ai4gN+H/heYBp4TkQ+ZYy57Drst4E/Mcb8dxF5Cvgg8C9F5LuA1wOPNI77AvAmEfkCdUF8zhiz0BC57wU+sFOfQ1EURVEURdm/dHd34/P5WFxcZHx83Ok6W6vV6O7udpowuYnH4ywuLlIoFIjH43e85pEjRwiFQhQKBQqFAouLi86+TCbDzMwMp0+fJhqNOqmr4XCYeDy+ISXYvVhR2CyKaR/dzZXc6+4U3WajW9zrXsFradVQqVWH4Fcz/sabBu1Nl3ZHoLfK+vo6KysrpFIpUqkUi4uLdHV1UavVyGQyd6Qlu7s4289cLBZJp9P09vYSj8cZHBxsOa4ml8tRLpc5fvz4lm1UtsdORmBfC1wzxkwCiMjHgR8C3AL2HPALjfXPAf+7sW6ALiAACOAH5hvrAkREJAPEgWs7+BkURVEURVGUfUxHRwe9vb0sLi4yNjbGsWPHMMaQTCZJJpNAvcOvt061WCxy9epVzp07t0FkWaGWSCRIJBIATvOg1dVVBgcHuXz5MgsLC9RqNScFuFar3dXWZqnBm42rsWK4laC0r9mqFnazMTZbwSt6m4228a67RXWlUqFcLjcV2t6aV3ftqzuabYWoiBCPx1lbW6NcLpNMJjd8PncNrI3W2mhuOp0mHA7z+OOPt6x5LZVKZLNZstkswWCQnp6eLV8nZXvspIA9DNx2PZ8GXuc55hvA26hHVX8YiIlIvzHmSyLyOSBJXbB+yBhzBUBE3g28BJSACeA9zd5cRH4G+BmAsbGx+/WZFEVRdgT1WYqitBP7zWf19fWxsLBALpejr6+PEydOUC6XKZfLGxoAVSoVisWik1p6+/ZtyuUy4XDYeS1v5NQ9GsWKy/Hxcaanp8nn8454cqfANjvX5/M1FXnNRtR4o6sPimYjcLx2eKO93prWVvWy3v2tIrw+n49gMEg8HndSh8PhMNFolFAoxNWrVwmHw5w+fXrDjYdWlEolMpkMsViMQqHgRGe9YhnqN0O6u7sZHh4+MDNZd4OdFLDNvjVv7sH7gA+JyLuAzwMzQFVETgJnAZtc/oyIvBH4EvBu4DFgEvg94P3Ar93xRsZ8GPgwwBNPPLH9IVKKoigPEPVZiqK0E/vNZ8ViMQKBAIuLi/T19QHQ1dXldBX2sr6+zurqKi+++CLBYJDx8fEN9ajuZW1t7Y5Zq8YYuru7HXFcKpXI5XJOJLGV6HSLWe+8UK9QdjdzglcaN7lfy+IVnN5H735vPe1W8EZx7fs3q5Ft1mHZm05s191Nmuw4oFaCeG5ujkqlQn9/P8Vi8Y6Ox+7Ffp83btygXC5z4sQJrl+/7thqbzjYkUhdXV10d3fr3NYHwE4K2Glg1PX8CPWmSw7GmFngRwBEJAq8zRiTb9zV+7IxptjY93fAdwArjfOuN7b/JfCLO/gZFEVRFEVRlANAX18f8/PzLC8vb4ioNsN2Ih4fH2d2dpZQKLStcSmbdeW1gspG9twjYlZXVx1RbGtcrWheW1u74z3cj9517+fxphB761btcd7HrYzq8W53pzrbY7ypzV7RbKOe3iivO4q7GcVikdu3bztdh4vFovPe3hsBwWCQSCRCoVAgGo1y/vx5hoeHnQi5TctWdoedFLDPAadE5Bj1yOqPA0+7DxCRBLBojFmnHkn9aGPXLeBfi8gHqUdy3wT8TuN1zonIgDEmTb1B1JUd/AyKoiiKoijKASCRSJDJZLhy5QqJRIKRkRH8fv+m5wwMDDA3N8e1a9fo6ekhHo879ZObReLcoul+4k4p3koabrMGTpstsHm01ru+FdxC132uN0q72dKqi7FdL5VKrKyscPbsWc6cOeN8PzZK7b5+tka2XC6Ty+UYGxvjoYceehXfhrJT7JiANcZUReS9wGeoj9H5qDHmmyLyq8DXjDGfAt4MfFBEDPUUYlvP+gngKeq1rgb4P8aYvwUQkV8BPi8ia8BN4F079RkURVEURVGUg0EwGOT8+fMkk0lSqRQLCwv4/X5CoRDBYNAZy+KuVe3s7OT48eOk02kWFhZIpVLO63m76Ho7C3vrYt2Cqllzpq1E/OzxNpV2v2PF9OrqKuVy2Xksl8usrKw4y/r6Oh0dHYyNjZHNZpumCtuItptAIMD4+PgufTqlFTv6122M+TTwac+2X3atf4K6WPWeVwP+TYvX/EPgD++vpYqiKIqiKMpBx+fzceTIERKJhDMOZWVlhVKp1LRLsBWonZ2dRKNRJ8XV3bDI3UXXbgM2jdC2olUqbqtOwq06C9+tu/DdxLI3WuqmVTR2sw7E7jpUmxbtTY92P9ruw3a/1xYRwe/3b5gDGw6HSafTd9QO25sU7i7Etqb1oNwIaDf0W1EURVEURVEUF11dXQwPD2/YVqvVnM6z7lmh7tmhVlxtlkbb0dHRsjuwHffS6nxvredmTZSapfd6z7Hv1ex13Pa1EqLN0ovto+0U7La5VSdiy2bi20aWbX2qe8yNV6wGg8E7Itx2XWtX2x8VsIqiKIqiKIpyF3w+35abNbkjijaa6I4wuhe7rVnnXG+Naivht9tstSa1WXq0N4Xa22l5K6NulIOFClhFURRFURRFuY9YQXa3JlD3g82aLNnnzdY3o1k6casUZI1oKg8aFbCKoiiKoiiK0qaoiFQOGjppV1EURVEURVEURWkLVMAqiqIoiqIoiqIobYEKWEVRFEVRFEVRFKUtUAGrKIqiKIqiKIqitAUqYBVFURRFURRFUZS2QPbSDKmdQkSWgKu7bcc2SAALu23ENmk3m9vNXmg/m9vNXoCHjDGx3TaiDX0WtN/3rfbuPO1mc7vZC+qz7oV2+77bzV5oP5vbzV5oP5vvi886KGN0rhpjnthtI7aKiHytneyF9rO53eyF9rO53eyFus27bUODtvJZ0H7ft9q787Sbze1mL6jPuhfa7ftuN3uh/WxuN3uh/Wy+Xz5LU4gVRVEURVEURVGUtkAFrKIoiqIoiqIoitIWHBQB++HdNmCbtJu90H42t5u90H42t5u9sHds3it2bId2s1nt3XnazeZ2sxf2js17xY7t0G42t5u90H42t5u90H423xd7D0QTJ0VRFEVRFEVRFKX9OSgRWEVRFEVRFEVRFKXNaWsBKyJvFZGrInJNRH6xyf4xEfmciLwgIpdE5Aca24+KyIqIvNhY/nAP2TwuIs827P17ETni2vdOEZloLO9sA3trrmv8qQdk70dFJCUiL7fYLyLy3xqf55KIXHTte+DX9z7YvBev8RkR+ZKIVETkfZ59m/497UF7b4jIS43re18657Wb31KfteP2qs/afXv3lM9qvO+e8Vvqs/a8zXvxf2pP+a1281lbtHlP+a0H7rOMMW25AD7gOnAcCADfAM55jvkw8O7G+jngRmP9KPDyHrX5r4B3NtafAv60sd4HTDYeexvrvXvV3sbz4i5c4zcCF1t9v8APAH8HCPAdwFd26/req817+BoPAk8Cvw68bzt/T3vJ3sa+G0DiPtrSVn5LfdYDucbqs3bf3j3ls+7F5sa+++a31Gft/P+U+q0Hco3bymdt0eY95bcetM9q5wjsa4FrxphJY8wq8HHghzzHGCDeWO8GZh+gfc3Yis3ngGcb659z7X8L8IwxZtEYkwWeAd66h+3dFYwxnwcWNznkh4A/MXW+DPSIyCF25/oC92TzrnA3e40xKWPMc8CaZ9dW/p7uO/dg707Qbn5LfdYOoz5r52k3n9Wwaa/4LfVZe9vmXaHd/Fa7+SxoP7/1oH1WOwvYw8Bt1/PpxjY3HwDeISLTwKeBn3PtO9ZId/kHEXnDjlr6Clux+RvA2xrrPwzERKR/i+feb+7FXoAuEfmaiHxZRP7Fzpq6ZVp9pt24vltlM9v24jVuxV6+xq0wwGdF5Osi8jP34fXazW+pz9p91GftHnv5Gm/G/fRb6rN2HvVbu89+8Vmwd6/xZmzbZ7WzgJUm27wtlX8C+Jgx5gj19IA/FZEOIAmMGWMeA/498OciEmfn2YrN7wPeJCIvAG8CZoDqFs+939yLvVC/xk8ATwO/IyIndszSrdPqM+3G9d0qm9m2F69xK/byNW7F640xF4HvB94jIm+8x9drN7+lPmv3UZ+1e+zla7wZ99Nvqc/aedRv7T77xWfB3r3Gm7Ftn9XOAnYaGHU9P8KdaSs/DfwlgDHmS0AX9RzrijEm09j+deq54qd33OIt2GyMmTXG/EjD4f9SY1t+K+fuAPdiL8aY2cbjJPD3wGM7bO9WaPWZduP6bpWWtu3Ra9yKvXyNm+K6vingb6in5twL7ea31GftPuqzdo+9fI1bcp/9lvqsnUf91u6zX3wW7N1r3JJX47PaWcA+B5wSkWMiEgB+HPB2B7sFfA+AiJyl7lTTIjIgIr7G9uPAKeqF5Ltus4gkGncuAd4PfLSx/hng+0SkV0R6ge9rbNuT9jbsDNpjgNcDl3fY3q3wKeBfSZ3vAPLGmCS7c323SlOb9/A1bsVW/mf3DCISEZGYXaf+N9G0u942aDe/pT5r91GftXu0lc+CHfFb6rN2HvVbu89+8VnQZn7rVfssswudte7XQj1V5dvU7+r9UmPbrwL/vLF+DvhH6rUDLwLf19j+NuCbje3PA/9sD9n8o8BE45iPAEHXuT8FXGssP7mX7QW+C3ipcY1fAn76Adn7P6mnLa1Rvwv108DPAj/b2C/A7zc+z0vAE7t5fe/F5j18jYcb2wtArrEeb/X3tFftpd7B7xuN5Zv3y94t/E/tKb/1an1AY5/6rHv/+1SftfP27imfdS82swN+awv/U+qzdsnmPfw/taf81qu1d7eu7xZt3lN+69Xay6v0WdJ4UUVRFEVRFEVRFEXZ07RzCrGiKIqiKIqiKIpygFABqyiKoiiKoiiKorQFKmAVRVEURVEURVGUtkAFrKIoiqIoiqIoitIWqIBVFEVRFEVRFEVR2gIVsMquIiL9IvJiY5kTkRnX8y/uwPu9S0TSIvKRFvv/XkSeuI/v91uNz/W++/WaiqLsLuq3FEVpJ9RnKfuNzt02QDnYGGMywKMAIvIBoGiM+e0dftu/MMa8d4ffAwBjzH8QkdKDeC9FUR4M6rcURWkn1Gcp+w2NwCp7FhEpNh7fLCL/ICJ/KSLfFpHfEJG3i8hXReQlETnROG5ARP5aRJ5rLK/fwnuEROTjInJJRP4CCLn2/YGIfE1Evikiv9LY9j0i8jeuY75XRP6XiPhE5GMi8nLDpl+47xdEUZQ9j/otRVHaCfVZSjuiEVilXbgAnAUWgUngI8aY14rIzwM/B/w74HeB/2qM+YKIjAGfaZyzGe8Glo0xj4jII8Dzrn2/ZIxZFBEf8Gxj//8Ffl9EBowxaeAngT+mfmfzsDHmYQAR6blPn1tRlPZF/ZaiKO2E+iylLdAIrNIuPGeMSRpjKsB14LON7S8BRxvr/wT4kIi8CHwKiItI7C6v+0bgzwCMMZeAS659PyYizwMvAOeBc8YYA/wp8I6G4/xO4O+oO/rjIvJ7IvJWoHBPn1ZRlP2A+i1FUdoJ9VlKW6ARWKVdqLjW113P13nl77gD+E5jzMo2X9t4N4jIMeB9wJPGmKyIfAzoauz+Y+BvgTLwV8aYKpAVkQvAW4D3AD8G/NQ27VAUZX+hfktRlHZCfZbSFmgEVtlPfBZwGgaIyKNbOOfzwNsbxz8MPNLYHgdKQF5EhoDvtycYY2aBWeA/Ax9rnJsAOowxfw38F+DiPX4WRVEOBuq3FEVpJ9RnKbuORmCV/cS/pV4zcYn63/bngZ+9yzl/APxx45wXga8CGGO+ISIvAN+knrLyj57z/gcwYIy53Hh+uPE69qbQ++/1wyiKciBQv6UoSjuhPkvZdaSeZq4oBwMReRfwxL22dheRDwEvGGP+aAvHfoAH07JeUZR9iPo8FyozAAAAnklEQVQtRVHaCfVZyk6jKcTKQWMF+H5pMVx7K4jI16mnv/zZFo79LeAd1FNkFEVRXg3qtxRFaSfUZyk7ikZgFUVRFEVRFEVRlLZAI7CKoiiKoiiKoihKW6ACVlEURVEURVEURWkLVMAqiqIoiqIoiqIobYEKWEVRFEVRFEVRFKUtUAGrKIqiKIqiKIqitAUqYBVFURRFURRFUZS24P8DPMU+EBxgrJYAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_lc, nsamples=10, exptimes=0.01)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heterogeneous time series\n", "\n", "PyTransit allows for heterogeneous time series, that is, a single time series can contain several individual light curves (with, e.g., different time cadences and required supersampling rates) observed (possibly) in different passbands.\n", "\n", "If a time series contains several light curves, it also needs the light curve indices for each exposure. These are given through `lcids` argument, which should be an array of integers. If the time series contains light curves observed in different passbands, the passband indices need to be given through `pbids` argument as an integer array, one per light curve. Supersampling can also be defined on per-light curve basis by giving the `nsamples`and `exptimes` as arrays with one value per light curve. \n", "\n", "For example, a set of three light curves, two observed in one passband and the third in another passband\n", "\n", " times_1 (lc = 0, pb = 0, sc) = [1, 2, 3, 4]\n", " times_2 (lc = 1, pb = 0, lc) = [3, 4]\n", " times_3 (lc = 2, pb = 1, sc) = [1, 5, 6]\n", " \n", "Would be set up as\n", "\n", " tm.set_data(time = [1, 2, 3, 4, 3, 4, 1, 5, 6], \n", " lcids = [0, 0, 0, 0, 1, 1, 2, 2, 2], \n", " pbids = [0, 0, 1],\n", " nsamples = [ 1, 10, 1],\n", " exptimes = [0.1, 1.0, 0.1])\n", " \n", "Further, each passband requires two limb darkening coefficients, so the limb darkening coefficient array for a single parameter set should now be\n", "\n", " ldc = [u1, v1, u2, v2]\n", "\n", "where u and v are the passband-specific qpower2 limb darkening model coefficients.\n", "\n", "### Example: two light curves with different cadences and passbands" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_1 = linspace(0.85, 1.0, 500)\n", "times_2 = linspace(1.0, 1.15, 10)\n", "times = concatenate([times_1, times_2])\n", "lcids = concatenate([full(times_1.size, 0, 'int'), full(times_2.size, 1, 'int')])\n", "pbids = [0, 1]\n", "nsamples = [1, 10]\n", "exptimes = [0, 0.0167]\n", "\n", "ldc2 = tile(ldc, (1,2))\n", "ldc2[:,2:] /= 2\n", "\n", "tm.set_data(times, lcids, pbids, nsamples=nsamples, exptimes=exptimes)\n", "plot_transits(tm, ldc2, 'k.-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "
© Hannu Parviainen 2010-2020
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }