library(alkahest)
## Load data
data("XRD") # X-ray diffraction
## Subset from 20 to 70 degrees
XRD <- signal_select(XRD, from = 20, to = 70)
## Y plot limits
ylim <- c(0, max(XRD$y))
1. Linear baseline
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = expression(2*theta), ylab = "Count")
abline(h = 0, lty = "dashed")
## Estimate the baseline between 25 and 34 degrees
baseline <- baseline_linear(XRD, points = c(25, 34))
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![Linear baseline.](data:image/png;base64,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)
2. Polynomial baseline
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = expression(2*theta), ylab = "Count")
abline(h = 0, lty = "dashed")
## Estimate the baseline
baseline <- baseline_polynomial(XRD, d = 4, tolerance = 0.02, stop = 1000)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![Polynomial baseline.](data:image/png;base64,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)
3. Asymmetric Least Squares Smoothing
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = "Energy (keV)", ylab = "Count")
abline(h = 0, lty = "dashed")
## AsLS baseline
baseline <- baseline_asls(XRD, p = 0.005, lambda = 10^7)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![Asymmetric Least Squares Smoothing.](data:image/png;base64,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)
4. Rolling Ball baseline
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = expression(2*theta), ylab = "Count")
abline(h = 0, lty = "dashed")
## Estimate the baseline
baseline <- baseline_rollingball(XRD, m = 201, s = 151)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![Rolling Ball baseline.](data:image/png;base64,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)
5. Rubberband baseline
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = expression(2*theta), ylab = "Count")
abline(h = 0, lty = "dashed")
## Estimate the baseline
baseline <- baseline_rubberband(XRD)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![Rubberband baseline.](data:image/png;base64,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)
6. SNIP baseline
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = expression(2*theta), ylab = "Count")
abline(h = 0, lty = "dashed")
## Estimate the baseline
baseline <- baseline_snip(XRD, LLS = FALSE, decreasing = FALSE, n = 100)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![SNIP baseline.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAGwCAIAAADKQeApAAAACXBIWXMAAAsSAAALEgHS3X78AAAgAElEQVR4nOzdeUBUVfsH8Gf2GWCAYUfZRAUFUdxAQ8Ut07TMPUv9mblrqWVpmVlur2Zlu2lGLu+bZpq5ZO6Wa+4ki4A7CMgyMMzKrPf3xxmHYRgGhOEOzjyfv2CYufeI+p0zz33OuQyKogAhhJDzYjp6AAghhJoWBj1CCDk5DHqEEHJyGPQIIeTkMOgRQsjJYdAjhJCTw6BHCCEnh0GPEEJODoMeIYScHAY9Qgg5OQx6hBBychj0CCHk5DDoEULIyWHQI4SQk8OgRwghJ4dBjxBCTg6DHiGEnBwGPUIIOTkMeoQQcnIY9Agh5OQw6BFCyMlh0COEkJPDoEcIISeHQY8QQk4Ogx4hhJwcBj1CCDk5DHqEEHJyGPQIIeTkMOgRQsjJYdAjhJCTw6BHCCEnh0GPEEJODoMeIYScHAY9Qgg5OQx6hBBychj0CCHk5DDoEULIyWHQI4SQk8OgRwghJ4dBjxBCTg6DHiGEnBwGPUIIOTkMeoQQcnIY9Agh5OQw6BFCyMlh0COEkJPDoEcIISeHQY8QQk4Ogx4hhJwcBj1CCDk5DHqEEHJyGPQIIeTkMOgRQsjJYdAjhJCTw6BHCCEnh0GPEEJODoMeIYScHNvRA3gypaWlp06dcvQoEELIzphM5osvvsjhcJri4E9Z0J88eXLfvn3JycmOHghCCNnTtm3b4uPjW7du3RQHf8qCHgCSkpKmT5/u6FEghJA9Xbp0qekOjjV6hBBychj0CCHk5DDoEULIyWHQI4SQk8OgRwghJ4dBjxBCTg6DHiGEnBwGPUIIOTkMesfIz8939BAQQq4Cg94xnn/+eUcPASHkKjDoHaOoqMjRQ0AIuQoMescwGAyOHgJCyFVg0DsGRVEURTl6FAghl4BB7xiY8ggh2mDQOwbO6BFCtMGgdxgMeoQQPTDoHQNn9Agh2mDQOwYGPUKINhj0joEpjxCiDQa9Y+CMHiFEGwx6h8GgRwjRA4PeMXBGjxCiDQa9Y2DKI4Rog0HvGDijRwjRBoPeMTDoEUK0waB3GAx6hBA9MOgdA2f0CCHaYNA7BqY8Qog2GPSOgTN6hBBtMOgdA4MeIUQbDHrHwKBHCNEGgx4hhJwcBr1j4IweIUQbDHrHwKBHCNEGg94xMOgRQrTBoHcMDHqEEG0w6BFCyMlh0DsGzugRQrTBoHcYDHqEED0w6B2ARDwGPUKIHhj0DoARjxCiE91BL5PJMOYoigJoh78HhBA96Ah6lUq1evXq6OhoPp/v6enJ5XKjoqKWL1+u0WhoOHszRFEUwG4MeoQQPegI+jlz5ly+fDklJaWwsFCr1RYXF2/dujUzM3P27Nk0nL258sOgRwjRg03DOQ4cOJCbmysQCMi3IpGoZ8+eCQkJkZGRNJy9GaIoCoBJUXpHDwQh5BLomNGHhoYeOXLE4sHTp0/7+fnRcPZmiKIoAAZO6BFC9KBjRr9hw4YxY8Z8+OGHMTExQqFQLpdnZWWVlpbu27ePhrM3QyToDQZMeoQQHegI+sTExHv37p06derBgwdisVgkEk2bNi05OZnFYtFw9mbo8Ywegx4hRAc6gh4AWCzWwIEDAUAmk3l4eDAYDHrO25zhjB4hRA9sr3QArNEjhOiE7ZUOgEGPEKITtlc6ANboEUJ0wvZKB8CuG4QQnbC90mEw6BFC9MD2SgfAGj1CiE7YXukAZAsEnNEjhOiB7ZUOgBdjEUJ0omNGP2fOnPLy8pSUFFKjl8lkWVlZX3755ezZszdv3lzbqxQKRVFRkcWDhYWFev1TvxcYXoxFCNGp+bZXnjlzZu/evRYP/vPPP0FBQW+99VZTjZUWJOgBXLp+hRCiDR1BT9orX3rpJfMH62yvHDx48ODBgy0eXLBgQWFhof2H6Ah6vcHRQ0AIuQRsr3SAxzN6hBCiA7ZXOgDW6BFCdML2SgfAoEcI0QnbKx0Agx4hRCfcvdJhsI0eIUSP5tte6cRwwRRCiE64e6UDYOkGIUQnbK90AAx6hBCdsL3SUTDoEUI0obu9ktDpdK6c8lijRwjRiY4afVFR0dSpU/v167dp06Zr165FRUXx+fw+ffo8ePCAhrM3QyTiMecRQvSgI+hff/318vLy2bNn79y584UXXlixYsXdu3fj4+Pnzp1Lw9mbIRL0WLpBCNGDjtLNuXPn7t275+3t7e/vv2DBgnHjxgHAypUrXba9kkQ8Bj1CiB50zOiFQuGjR48AoGPHjp999hl58MGDByKRiIazN0OkaIM1eoQQPegI+sWLF/ft23fhwoU+Pj79+/cHgE2bNo0bN27atGk0nL0ZInN5zHmEED3oKN3Mnj07OTn5zp07pkdkMtnKlStHjhxJw9mbISzdIIToRFN7ZWxsbGxsrOnbt99+m57zNk94MRYhRCc6SjfIwuMavaPHgRByDRj0DoAXYxFCdMKgdwCs0SOE6IRB7wAY9AghOmHQO8Djoo1L308RIUQbDHoHwBo9QohOGPQOgKUbhBCdMOgdgEzlMegRQvTAoHcA3AIBIUQnDHoHwNINQohOGPQOgxdjEUL0wKB3ACzdIITohEHvAFi6QQjRCYPeAbDrBiFEJwx6B8CIRwjRCYPeYfR6jHuEEB0w6B3g8cVYDHqEEB0w6B0Au24QQnTCoHcAvBiLEKITBr0D4IweIUQnDHqHwRk9QogeGPQOgDN6hBCdMOgdAFfGIoTohEHvEAzAoEcI0QWD3gFIBz0GPUKIHhj0DoClG4QQnTDoHQCDHiFEJwx6B8AFUwghOmHQOwDO6BFCdMKgdxgMeoQQPTDoHQBn9AghOmHQOwDW6BFCdMKgdwCc0SOE6IRB7wAk4vV6g6MHghByCRj0DkBWxuKmZgghemDQOwDW6BFCdMKgdwCs0SOE6IRB7wA4o0cI0QmD3gFwRo8QohMGvQPgNsUIITrRHfQymYxy+XaTx7cSdPXfA0KIHnQEvUqlWr16dXR0NJ/P9/T05HK5UVFRy5cv12g0NJy9GSIJj330CCF60BH0c+bMuXz5ckpKSmFhoVarLS4u3rp1a2Zm5uzZs2k4ezOENwdHCNGJTcM5Dhw4kJubKxAIyLcikahnz54JCQmRkZE0nL0Zwho9QohOdMzoQ0NDjxw5YvHg6dOn/fz8aDh7M4TtlQghOtExo9+wYcOYMWM+/PDDmJgYoVAol8uzsrJKS0v37dtHw9mbIWyvRAjRiY6gT0xMvHfv3qlTpx48eCAWi0Ui0bRp05KTk1ksFg1nb4awRo8QohMdQQ8ALBZr4MCBACCTyTw8PBgMBj3nbZ5wRo8QohO2VzoA7l6JEKITtlc6AIl4DHqEED2wvdIBsEaPEKITtlc6ALZXIoTohO2VDoAzeoQQnawEvUaj4XK5th95ItheaRUGPUKIHlaCvmvXrmlpaaZv1Wp1mzZt8vLyGnMabK80hzN6hBCdqtXohw4dyuFw0tPTOWY8PDy6devWmHNge6UF7LpBCNGp2oz+jz/+AIAXX3xx//79djzHnDlzysvLU1JSSI1eJpNlZWV9+eWXs2fP3rx5c22v0mq1crnc4kG1Wm3HgTnK403NHD0OhJBrsFK6sW/KQ0PbKw8dOvS///3P4sHU1NSwsDD7Do9+BgOF9x1BCNHGStCfPHly2bJlEonE/EHzqv2TIu2VL730kvmDdbZXDh8+fPjw4RYPLliwoLCwsMEjaSYoChgMA87oEUL0sBL077///rBhw0aOHGmvrhhsr7RgMFAY9Agh2lgJ+rt37y5ZssSOjTHYXmmBooDJxNINQogmVoJ+4MCBX3/99ZQpUzw8POx1GmyvNGcwUAAGinLpXwJCiDZWtkDIzc2dN2+er69vu3bt2j/WmHNge2VNDAaFpRuEED2szOg3btxo33M0rL3SiWGNHiFEJytBHxsba99z4O6VFh7X6LF0gxCig5Wg7927d80Hz5w50+BzNKy90okZDBSDgRdjEUI0sRL0n376KfmCoqisrKyUlJQOHTo05hzYXmmB9NHr9Zj0CCE6WAn6xMRE09c9evR4+eWXAwMDv/vuuwafA9srLWDpBiFEp7r3oy8pKfH09GzkaVgsVrdu3UiHpUlFRYWXl1cjj/w0IhdjsXSDEKJHHTV6g8Fw/fr1uXPnNuYcaWlpL7/88s2bN1u1avX555+TjQ3UarW3t7drFqpJjR67bhBC9LAS9GvWrDH/1tPTMy4urjHnmDlz5tChQ8+fP3/9+vXx48f7+fklJSU15oBPO4OBwtINQog2VoKepDBFUWVlZSKRiMls7H1l09PTjxw54uHh0bdv340bN06bNu3ff/9t5DGfaiTocUaPEKKHlRAvKSl55ZVXBAJBSEiIQCAYN25cSUlJY84RERFx4cIF8vWLL77YsWPHBQsWNOaATzvSdWOjapWdnU3jcBBCTs5K0M+YMcPT0zM3N1elUhUUFPj6+s6cObMx51izZs2IESOee+65srIyAPj+++8vX77sytUbg4FiMsFG6WbixIl0jgch5NyslG5Onz5dUFBA7gbu6+v75ZdftmzZsjHnGDJkSFZW1tmzZ3k8HgB4e3ufPXt23759V65cacxhn156vcF26cYJ9txHCDUfVmb0Pj4+N27cMH2bnp4uEokaeZqQkJCXX37Z3d2dfMvhcEaPHm1x1dd12O6jpyiqqKjINfuREEJNwcqMftWqVYMGDRo5cmRYWFheXt5vv/22YcMG+kfmxGzvR5+ZmanVaqVSqWsuMkAI2Z2VGf2YMWMuXbrUvn17mUzWrl27f/75Z+zYsfSPzInp9QYGo9YZfXl5OQCQ6xkIIdR41lfGtmnT5u2339ZqtRwOh+YBuQKKAhar1hq9QqEAAKlUSuuYEELOy3JG/+23344bN458nZKSEh4e/vnnn+PW6fZlMACTCbWVbpRKJYfD0Wq19A4KIeS0qs3o165du3Xr1vXr15NvJ0yYEBgYOG/ePIqi3n77bUcMzzk9Xhlr/acymUwkEmHQI4TspdqMfuPGjdu2bXvuuefIt+7u7i+99NIvv/yyadMmR4zNadnej76iosLX11en09E7KISQ06oW9EVFRTW3tencuXN+fj6NQ3J+jxdMWf+pTCbz9fXFGT1CyF6qBX3btm3NO+iJ69evh4eH0zgk50eCHsB6141SqfTy8sIZPULIXqoF/dy5c6dMmWK+0crNmzdff/312bNn0z4wZ0ZRwGSCwWB9Sl9ZWenh4aHRaGgeFULIWVW7GDt16lSpVJqYmBgeHh4cHFxYWHj37t33338fg96+bM/o1Wq1UCjEGT1CyF4s++jfeuutyZMnX7t27d69e+Hh4V26dHHZW3g3HRL0tmf0WKNHCNmLlQVTPj4+Fvf8Q/ZFSje1zegrKytbtGihVqvpHRRCyGk19qYiqAFsd91UVFQEBARg0COE7AWD3gFsB71UKvX398egRwjZCwa9A5DSTW1Bz2AweDwedt0ghOwFg94BDAaKxWLUFvQURfF4PJzRI4TsBYPeAWxfjAUALpeLM3qEkL1g0DuAjRo9RVEMBoPNZmMfPULIXjDoHcBG6UYmkwmFQiaTqdfraR8XQsg5YdA7gI0ZvVQq9fT0xBk9QsiOMOgdgKKgthm9XC738PBgsVh4sxeEkL1g0DsAufGI1V++Uql0d3fHGT1CyI4w6B3AxoxeoVC4ubmxWCys0SOE7AWD3gFsXIytrKwUCAQ4o0cI2REGvQPYuBir0Wi4XC7O6BFCdoRB7wA2SjdarZbD4eCMHiFkRxj0DmAwAIvFsLoylgQ9zugRQnaEQe8ABgOw2bXO6NlsNs7oEUJ2hEHvAAYDxWJZr9FrtVoul1taysEZPULIXjDoHcBG1w0p3Uyd6oMzeoSQvWDQO4DBwGCzbdXoi4pYGPQIIXvBoHcA2zV6DodTUsLUajHoEUL2gUHvABRFsdkMirIyo9doNGKxSK2GykqOvU63cePGe/fu2etoCKGnDtvRA3BFBgODxWJQ1qb0arVaLncHAJVKYK/THT582Nvbu1WrVvY6IELo6YIzegegKLAxo9freQCgVvPsdTqlUikWi+11NITQUweD3gEMBorDYVq9GKvRaPR6PpsNFGW3D1tKpVKr1drraAihpw4GvQNQFKO29kqNRqPRcL297Rn0KpUK70CLkCvDoHcAvR7YbOt3BtdoNJWVXB8foCiWvU6nVqsx6BFyZRj0DmAwGGqr0VdWVqrVPD8/MBjsNqPXaDRYukHIlblc0Mvl8oqKCseOwWBgcDis2rpu1Gq2t7c9Z/QajQZn9Ai5MrqDXiaTWQ042hw4cODnn3924AAAwGCA2i7GqtVqvZ7j4WHPGj3O6BFycXQEvUqlWr16dXR0NJ/P9/T05HK5UVFRy5cvd8g0U6VSOTz1SNeN1fc7tVqt07HsG/RarRZn9Ai5MjqCfs6cOZcvX05JSSksLNRqtcXFxVu3bs3MzJw9ezYNZ7egVCodvo2MwUCx2UyrNXq1Wq3TsYVCewY9ADj8vQ0h5EB0rIw9cOBAbm6uQGBc6ikSiXr27JmQkBAZGUnD2S2o1WqH7wBMUUwOx/pbrEql0ulYnp72vBjL4/FwRo+QK6NjRh8aGnrkyBGLB0+fPu3n50fD2S00h9INRQGLBVZn9AAgk4GvLxgMXHudjsPhOPyPjBByIDpm9Bs2bBgzZsyHH34YExMjFArlcnlWVlZpaem+fftoOLsFrVbLZDq814hR260EAaCsDIKCgKLss6kZRVFcLheDHiFXRkfQJyYm3rt379SpUw8ePBCLxSKRaNq0acnJySyW3ToI60+v1zu27QcAAJi2/+g8HhgM9gl6nU7n5uaGQY+QK6Np90oWizVw4EAAkMlkHh4eDIb1ySwN9Hp9M6jRM5hM67cSZDAYFGX/oMcaPUKuzOXaK/V6vcO7bgAYLBbUVroBAB7PbqUbrVaLM3qEXJzLtVfqdDqHBz1FWQ96U02JxbLbylitVisQCDDoEXJlLtde2Zxq9JZBr9VqWSwhj2erJ+dJ6XQ6gUAglUrtcjSE0NPI5dorm3ONXi6Xc7n+np7AZgMAx2AwNP5c5Ca0jT8OQujp5XLtlQ6v2wBAbTP6kpIST88WQiGwWMBgsHQ6HZfb2G56DHqEkCu2V9J/Ugu11eglEolA4OfuDmw2MBgcuwS9Tqdjs/HOwAi5NFdsr3TUqc0wWCwrpRuZTMbleru5kRk92y4fPnBGjxByufZKnU7XDLLeeulGJpOx2Z4CAanRY9AjhOzD5dorm8/F2JoqKip4PGPXjb1m9Fi6QQg13/bKXbt2ffLJJxYPPnz4sEOHDo0ZjF6vd2Dh6DHrM/qysjKBIIbDwRk9Qsiemm975dixY6/UMH78+EY2ZWq12uYwo7ca9FeuXPH1DeJwgMUCAFZ9VjlJJJItW7bYeIJWq8UZPUIuDtsrHYJZc0nU3r17U1NTX3ghTCqt6rqp80CpqakpKSmTJ0+u7Qk6nQ5n9Ai5OJdrr9TpdA4v3Tye0Vdz7tw5Hx8frRa43CeY0ctkspycHBtPwNINQsjl2it1Ol1t+9GfP3++Z8+eTT02g8FgtUZfUlLywgsvaLXA49Vdo09PT6+srOzWrZtUKi0qKrJxxRVLNwghl2uvtFGjnzt3rlgsbuoBaDQaJpNdM+glEsnMmTO1WmCzgcMBimLbmNHv3r37+PHjAKBUKgFAoVDU9kydTnfkSF+lMsouGyoghJ5GLtdeaWP3yvz8fIlE0tQD0Gq1DAarZtDLZDKhUKjVQn26bsrLy0m4q1QqHo9H4r6205WU+FVWtsEt6RFyWc23vbKJMJlMqwFKUVRZWVlFRUVTD8A0o7dYGWswGJhMploNpI8egGUj6CUSCXmvUKlUvr6+tmf0Wi2XzfbUarV8Pt9ufwyE0NOj+bZXNhEGg2F1m2K1Wq3T6Wwkpr3UNqMnNBrgcoHNBoqydTFWJpORWXxlZaWvr6/tGb1GwwbA+4Mj5Lpcrr2yNmq1Gh6XvJuURqNhMFhMJpgHvVwuf/ToEQCQrhs2u44avVQq9fDwgMczehvD1ul0Oh2HweBh0CPkslyuvbI2tAU9mdGz2WAe9Ldv327dujUAqNXA5QKDAUwms7KysraDKBQKlUoFAFKpNCgoyPaMXq9nMRi85rGAACHkAHS3VzZbJOhJejYpU+nGvIAkkUgSEhIAQKMBHg8A6gh6vV5PhiqTyQIDA23P6PV6FpZuEHJldNTonwpqtZrL5dLQmqLVahkMpkXpRiqVCoVCANBogCxvsh30fD7fPOhtvD9pNBqdjomlG4RcGR0z+oKCAplMZvVH0dHRNAygPlQqlaenJw1Br9PpACz76GUymaenJwCQrhuoK+hZLBZZDaBUKn18fGwHvV7PpCic0SPkuugI+t27dy9ZsqSysrJmm01hYSENA6gPuVzu4+ND14yeb1Gjl8lk3t7eUO+gBwCyglej0Xh6etb2PgqPgx5LNwi5MjqC/s0334yJiVmwYEFaWhoNp2sYOoOeopgW16HlcnlISAgAqNVAmt0ZDIbtwZiaRAUCQXFxcW1P02g0TCY0ddAbDAaKoprV1XWEkAlNNfq+fft27tyZnnM1DG1Br9PpAFgcTrXdK8myWHjcdQMATCazPoNhMBhubm422v/VajWXC01dutm1a9c333zTdMdHCDUGTUHPZrO3bdtGz7kaRqlUikQiemb0AJZzX/MavWlGTxqBamPafM3Dw0Mul9f2NI1Gw2ZTAJwm/aNlZGQcPXq06Y6PEGoM7LoxUiqV3t7etrMVAO7evZuSkgIAe/bseffddxtwIhL0HA5YdN2QoFepjEFf54zeVLoRCoU2avRKpYrPZzT1jD4jI4Ms+EIINUMuF/QqVbBCEV7zcaVS6evrW2cffXp6+rFjxwAgLS3t7t27DRiARqOx2l5Jgl6vB7KJcp1Bz2QySda7u7vbKN2Ulko8PJi219k2nkQicXNza7rjI4Qaw7WCXqfTyeUdJRIrVwvq7FMkcnJy8vPzwWbPqG1KpZLJZDIY1RZMmfroTZvh2yjdkHuJ8Hg88gQ3Nzcy7OLi4qKiIosnl5fLhUJWUwe9TqfDK7EINVuuFfQajYbJdKcoK5FENo2pM+hv3LhB9qy/f/++7fbH2qhUKhaLxWAAQNX2apWVlWRrSVPQs1is2ta7ajQaLpfL5/MVCgWTyRQIBOSZv/3229q1ay2erNWCuzvDYGA3XY1ep9PxeDwvLy8a9v5ECDWAywU9gyGwGvT1LN2Ulpa6u7uD8T2jIb89MqMHAAaDYWP/GSaTWVtBhizi5fP5JSUlHh4eAoGADLu0tPTGjRsWT6YolkAADAan6TbmLCgoCA4ODgwMrPl5AiHUHLhW0KvVagCB1ftuK5XKwMBAqVRq+wgqlcpU4bG63XGdVCpVfYKexWJZjeZTp05pNBoej0fa58kdu8hsPS8vLzMz899//wUAuVyekZEBAAYDi88HBoNtozOnke7fvx8eHh4REdGwixYIoabmWkFPZvQMBtdq0Pv4+NRZjaEoqmXLlmRBb8PuLqtQKIy70dcV9DVLN2q1etq0aaTOQ2b0pLJP3Llzp3///iTft2zZ8tprrwEARbHZbGCxWE0U9AaD4c8//4yKigoNDSVXL1DjXb161dFDQE7FtYK+srKSxeIxGFZ6DSsqKry8vOpzEF9f37/++ovH43G53DrbMWuyEfQ6HZju481gMGoOsqCgID8/v7ag12q1Q4cOJR9Kbt++/eDBAwCgKBaHA0wms4k25lywYMGaNWu6devm4+NTVlZm/qODBw9i9DfM5MmT8YIHsiOXC3omk2O1dGNqcKyTl5fX0qVL3333XVO7i23Xrl0zvxWtqUbPZDLJ+4Rer398X0Aw3eyPPMXiUCUlJZWVlWKxmM/nC4XCgoICcvsRgsFgeHt7k4CQSqU8Hs9gMFAUmwR9wy4d12n37t3du3dv3bp1ixYtHj58aP6jw4cPp6amNsVJnV5xcXFpaamjR4Gch2sFvUqlYrG4DIaVXkNT2tqgVqt5PF7Hjh0LCgrCwsI8PDzq02G5bt2648ePm76VSqVsNhvMqvCm95jSUjBt+0buJmhxKIlEwmAwbt68yefzfXx8UlNTg4ODyY8UCoW7u3tAQADZ96asrCwxMfHSpUsCgScJ+gZ8+KjTnTt3OnbseOHCBS6XGx4ebhH0UqkUZ/QNI5fLabg1AnIdrhX0j2f0Vmr09SEWi318fAYNGhQYGBgaGlqzWFGTwWA4fvz4zZs3TY9IJBIS9Ka+mrKyMpFIBADl5eDjY3ya1aCXSqWRkZHp6el8Pt/Pz++ff/5p164d+VF5eblIJIqIiLhz5w75tk+fPmfOnPH09GGzmyro09PTBw0aRN4gPT09LaoNUql07969jTzFm2++2cgjPI0qKysx6JEduWDQcwFqXT1U263DiRs3bsTGxvJ4vKysLBK1dX6+lkqlBoMhKyvL9IhMJiPJaJrRl5SU+Pv7A4BUCqaSu9WgLy8vb9GihVgsFggE/v7+JSUlgYGBAMDlcvPz8/39/X19fcvLy8kfpE2bNhcuXPD09GWzgcFgNEXpRiKRkN2VAYDNZlu8fUql0qysrMYEllqt3rVrV6OG+BTSaDQGgwGDHtmRawW9SqViMjkMhmUkkZoMAHh6etrosCwvLyeJTNItMDCQbPBSWVl5+PBhqy+pqKh47rnnzLcRNr2RsNlscq7i4uKAgAAAkMmqBb1QKFq6dOn48eNNQ7p161Z8fHxpaalAIGjTpg2TyQwLCwMAoVB469atoKAg81NHR0fv3bvXy8uPywUm03qzZiOJxWJfX9/afmowGAYPHtyYnkupVNpElxaaM/JHxqBHduSiQW8xozdFrUgkslGNMW0mTAQEBJSUlADAoUOHJk2aZPUlZWVlAQEBpJxCmJoyWSwWqXWUlJRYDfrWraNXrly5c+dO0yXNioqKkJCQ0nOkBM8AACAASURBVNJSPp/fqlWrF198kbw/tWrV6uLFiyRzW7Zs+ddffwmFwrCwMA6HExUVw2YDl8tpiot7Z8+eNX93qflhKD4+vjHXY2UyWVNUnJo58kd2wT84ajouGvQWd7bKzc0lU2NT1woAHD9+fPv27eZPs5jAmmr0Bw4cCAkJKSgoqHnGoqKiwMDA6OhoMkEj29SQH3E4HLKbQnZ2dmhoKACUlVWr0c+ZM+/777+Pi4szrTgl9yd5+PChu7s7g8HYu3dvfj4sXQodO3b8/fffW7RoAQBdu3b96quvevbsyWazb9y40aFDZ1K6aYrgEIvFXbt2NX3r7e1NCkcAoNPp2Gx2bGzsX3/91eDjV1RUuGDekRUPLvhRBjUd1wp6pVLJYHC8vX3//PNP88cfPHgQHh4OAOYbtqxbt+6HH34wf9qdO3ciIyNN35oW/d+5c2fMmDFWp66lpaV+fn5CoTA7OxseX84lPxIIBHfu3MnMzDx48GBiYiIA5OeDv7/xhWw2CASeM2bMWL58+eXLl8mDcrk8IiLi0aNH/o+fl50NJ05AUFBQQUFB3759AaBt27anTp0iB2zXrp1ezyDvLAKBwL77mun1eiaTad6q1KpVK9K8DwAKhcLDw+OZZ54xvz7xpEpLSymKouEmAc2KTCbz8PDAoEd25FpBX1ZWxmbzQkLCb926Zf74tWvXIiIiAKBr16779u0DAJ1OV1FRYTAYDAaDTCYjVfK7d++2atXK9KqwsLALFy5IJBKhUNiiRQurM/ry8nIfH5+IiIj33nsPAFJTU+Pi4siPBAJBdnb29OnTPT09BQJBbi78+Sf06GF8IYcD5DrCM888Qxa7AoBcLu/Ro0dAQIDpdl1SKWRkQHBwcHh4ONko2MfHRygU9uzZkzxBqwUS9LarUg2QlZUVFRVl/oj5L4G0ezKZTNu3tLWNVMZcrVotk8n8/f0x6JEduVbQl5aWcjh8DodfXFxsviXA33//TabAiYmJZ86cuXPnztmzZ0tLSzt37nz9+vWUlBSyK6Rer2ezq+6yKxAIYmNjR48ePWjQoPDw8E2bNtU8Y35+fosWLZYuXXr16tWJEycuWbKkU6dO5EdsNjsrK6ugoGDjxo0AsGULABjvDA4AbDaQ+XdAQIDpOiqZRA8bNkyp9MvOBgCQyUAqhRYtIoYPH06e07p167i4ONPu8GS1LZsNIpG/HYNeqVQuXLiwV69e5g+av5eQaSkAxMXFpaenN+wsJSUlAoGgkZs3iMViiw9wzZxEIgkODq5t79Kajhw50qTjQU7AyYM+59o18wabGzducDh8vR5EItHff/9NHtRqtW5ubmT/A29v76tXrz777LMLFy5s165dZGTklClTVq9evWXLlkmTJpFud3Nff/31pUuXkpKSEhMTDQZDzQFcv369Y8eOQqHw3Xff3bNnz8OHD83DcdiwYTt37iTR//AhtG1b9ULTjB5qXOT88ccft26F338HACBpwGQK169fT34aHBxs3pJIZvQcDohEAXa8Hrty5UqxWPzSSy+ZPxgYGGhaIVVQUECuGXTp0sX0q35SZWVl4eHhjQz6jIyM//znP405As3Ky8sjIyNNVztsE4vFEydO1Ov1TT0q9FRz8qDX9+49OTY2MzNzzpw5K1euvHHjBpvN1+thyJAhX3311YcffpiWlhYTE2MqQfB4vJSUlLKysps3b65cubJPnz7Z2dlubm7jxo3bvn37rFmzLI7v5+f38OHDbt26CQQCoVBo3l1DVFZWkm2Nk5KSpk6deurUKS8vkWl74/Xr1yckJJCvJRL45JOqF5pm9PB4V5zc3FzTT8vKgMzyKyvB3R0sOifJGQmtFths4HAgLKz17du3n/xXaF1aWtrs2bPNe5AAYMCAAb+T9x+AjIwMspgrLi7OVLh/UuXl5WFhYXVuKWrbzZs379+/35gj0EwqlbZt23bXrl31ie9z586VlJTgCmRkG7vupzzN2ty8+WHnzlNiY88DtADoO3KkXs8EgF69ei1atOjo0aNr1qyZMWPGwoULTS8ZPnx4fHx8enp6fHw8APz0009ubm4+Pj4XLlww7zAxMe2QM2jQoDFjxly7dg0A9Hr9a6+9Nn78eFN5umfPnqRuXlkJj/tuqqmogBYtqr41n9G3bt36/v37ubm5ffr0IY9IJMY7DqpU4OsLNj7l63TGGX1oaOSVK0c0Go1erxcIBPX57dWmvLz80qVLv/32m8Xj7u7uubm5p06d6tevX15eXrdu3QDA19c3MzOzYScqKiqKjo42X4XwpFatWrVmzRpPT09yt5YGH4dOcrm8a9euhw4dEovFpO/WhocPH8bHx9+4cYO0jSFklZPP6DlhYS0vXkxxcytjsy+0aPHLrVu6Mxf0Zy90Wr68dOrUuWz2u2Fhn738cnhlJTxu4xOJRPHx8RMmTCDfjh8/fvjw4b17975w4YKfaScaa0aNGlVSUkLKLDk5Odu3b58/f/7ixYstnqbVgtXAUaurCvQAwGZXBb2vr29paWl2drbpUrBUagz3yso6gt40o4+O7nDlypXdu3ebijwNVlBQMHz4cI6196v169dv3rxZr9enpaWRRqaAgADzopZarbZa46opMzOzqKgoOTn55MmTDR7qunXrpk2blpycTK7rPhVIw1KnTp3qU725fv366NGjn7o7ARgMhj/++MPRo3AhTj6jBwD3Nm2iFAoAIEv1dYMNDNDCN9/wHzxYGhoq1Gq5Bw5AWRncv/93cfvevpnMlsFAtoT08QGRCIKCgMWCsDAIDwcfH6h9LhwVFeXt7d2lS5dZs2bt3LkzLi5OKpWaKjMmpjYY2zicqtJNYmLihAkTDAbD6dOnySMymXGMSiX4+lqWbszpdCAQGJs1pVJpXl7ekiVLNBrNRx99VPcgarF58+bo6GirPxo9evSiRYtWrlyp0WhMG64FBwfn5+e3bNkSAJ577rmBAwd+8MEHdZ5l8eLFL774Yp8+fXbs2NGwccrl8oqKiri4OIPBUFxcTAbQ/F26dGnEiBEikch809PaFBQUvPDCC6YG3KdFamrq9OnTseJEG+cPegs6A5PJ5UFwMAQHB5iaGQEAYH5nOLpd628oAqkUDAaQSEAigcJC0Gjg33/h4UMQi0EmAxYLmExo2RJCQyE4GHx9QSAAf3/w918wYcJbH388e/bsV155ZefOnaRwbzEAjcbKjJ6iwKKbzjzoR40a9d///jciIiIkJIQ8olAA6TmUSiEoqF4zeq0W4uLi1q1bt2TJEtLUT8yZM2fRokVP9MH/8uXLa9assfojJpM5a9asxYsXv//++6YHExISLl++THJWpVIdOXKkzqDPysr6448/tm/fLhQKybIyE6lU6u7uXp97kR8/fvzFF18cNWqUTCbLyckx9aTW09WrV60W65qaUqmMj48/dOhQfbakl8lk8fHxy5cvX7FiBQ1js5f09PQGN92iBnC9oNdBbRFRUAASBce/bUjdR9HrobAQcnPh0SMoLYXCQrh+HYqKpojFkxMT1QoF9/591pgxEBwM/v4QFAQtW0JQEAQFgb+/Vh1Qs+jx4AFUTzPg86tF/6xZs8yb1rVaY9DLZBAcXEfQc7nGoF+xYkVcXNyMGTO8vb1ff/31zZs3k+W1IpFo5cqVSqVy5MiR33//PVlSYAOLxeKZl5kAFArQaoHsb7Zw4cKePXuSAj3RpUuX06dPv/TSS+fOnWvdunVhYaHBYLB9x93z589v3LiRtEJZNB0tXbp0zJgxFp2dVl27dm3s2LGenp59+vT58ccfx40bV+dLAOCtt966d++eXq8/d+7cr7/+2r9///q8qpHKyspMK+kI29sulZWVzZ07d+PGjWS/I39/f5VK1chLL3SSSCQKhYKiqIbdps1RHj16RPb80Ol0+/fvf/HFF837rZuzp2OUdlRb0FMUlJVBfe/qw2JBSAiEWHlLYAIY/7cZDFBcDKWlkJ8Pjx7BtWtQVASlpZo8LufWGOj7Cfz7BQz7APz9wc+vQBk/MqoTHMqFFi0gMBD8/fl8tnnQDxo0yPwsfL4x3GUy6NTJ8tOAOfIBglza9fX1JY1DixcvXrJkSXl5+Xfffefj40O2T+BwOKmpqVu2bCFVnXnz5t26dWv37t2mlnyipKSk5rWKPXsgPx/eew8AgMlk9u7d2/ynnTp1Ig2OO3bsmDRp0k8//WTad7M2165dmzhxotUf5ebm1nNBQElJyfjx4wEgJibGfKdoG3Q63enTp9ls9sWLF6Ojo0+ePElD0O/Zs2fp0qVXrlxxc3PLzc0lb4FeXl42Sjd//PHHjh07Tp482b17dwBo2bJlXl6exfq15qy8vNzDw0MikdRsWW62KioqEhIScnNzb968SXbnbteuXUxMjKPHVS8uF/RMJljdi16tBp3O1tS4IWcis/gOHcwf1mYB5wuA75+HfgA7d5I3A9lRhnexBm7cgGPHoLgYCgr4hUMrGZWw9RIEBUFgIPj6grc3eHuDSAS+vixDtF7PAQClEnx8wMbSUbW6akZvsnDhwk2bNv3zzz8RERHLly/v1q3bgAEDPDw81q9fv379+unTp7do0YJcAj127JhpKRZx7ty5moGSlgaXLxuDviZfX9/IyMhTp05t3779k08+OXHixNmzZ0eNGmXjl5eamvr1119b/VF+fv7cuXMHDhxo8Q5U05UrV8gmQlxufe9AkJWV1a1bt6lTpx48ePDZZ58dPXr0ypUr6/PCBtPr9QsWLBg6dOhPP/00Z86c3NzcHj16AIC3t3dOTk5trzp//vz8+fMPHDgwf/58AOjevfulS5eeoqAvKSnp2LFjfn7+UxT0586dy8/PV6vVW7duZTKZJSUlJ06cwKBvpmr7pEiabppgK19LpN/RyMMDPDwgMlL6ADxFAHO6mJ7G/y9UqgHGySEvD8RiEItBIoF79yA1FcRiyJ4BOj30nadL/UJYfrSMGwR3bkH79tCqFYhE4OUFnp7g7g5mM3rzDWO4XO79+/fPnTv3zTffvPvuuwaDwdfXl8/nT506NTs7e9q0acOHD/fz8/v4449rBv369etJuJi7dQtsN7snJydPnDhx0qRJbm5uU6dOXb16tY2gv3jxopeXV20f6hUKxcOHDzMyMshktjb79u0LDQ013WrR29vbVB6prKy8ePFicnKy1VMnJiZ269aNlJ6Sk5Pv379fZy3LpM4mztLS0osXLw4dOtT0yP79+4cNGzZr1qz+/ftPmTLlr7/+Ih+YRCJRbV03Go3m4sWL58+fNzVQde7cedu2baZWsScil8sNBkM976NpL7m5uZMnT162bNmePXvoPG9jpKeni0SiadOmHT169M8//0xLS0tLS3P0oOrL5YK+NiTo7Tmjr4XVrhu5HCyu2vL5UFEB4OEB7dtbOUo6AAXw11/QFwSz21WmKWHADbh5E/74A0pKoKICpFJQqUCn09yfxTt8jqscqL33AOIVEBICvr4QGAjx8YmJiWTCy2Qy33zzzenTpwPAggULOnbseP78+U8++aR169ZTpkz5+OOPTfX0fv36BQcHjxgxwmI4FRVgdvNaK4KCgnQ6HdnnJyoqysYKJr1e/9FHH02bNs30iLe3t6mEUlFR4e/vv2jRooULF+7du9fHx8fqJdNly5bt2LHjxx9/ND0SFRV1+/btmJiY7Ozsu3fvzpw5Mzc313xlGVFYWEg2wyA6duz4/fffm195Pn78+J49ezZs2FBz5Gq1OjExUaVSnT171t/f/9ChQ88//7zFc44ePTpr1iyxWExqu0qlct68ecePH2/btu3AgQPPnTu3d+/eQ4cOAQC5sYzVX1FGRgaXy+Wb7i8MEBcX1+DVcNu3b//zzz/379/fsJc3gFqtLi8vHzt27Nq1a00rqK0+zeJSkGNlZmbOnj374MGDr7/+eufOnf38/J6izScw6I1I0NOwfRZpg7Egk1kW/LlcqM+mjQwGuPvy5Vw+9O0LffvWfIJmAXAnvsz5WaGNLYUWOVBYCNnZcPw4zJ/P5vPDNBpyP/IPWSy4eRMCA1tERuZv2JBVUNCpXz/w8enYsePixYtbtmxJNv8pLCwkO/NY0OuBzQaDAWq7wpqUlHT16lXSeMNgMMgdr8yjymThwoXFxcXm1yTCwsIOHz5Mgv7AgQMBAQHjxo3bvXt3nz59VqxYMWHChO3bt48cOdL0/IKCgl9++WXVqlXmlwpiY2MnTZoUGBh45coVgUAQExNz6dKlfv36WZz9zJkzM2fONH07a9asvn37WgT9Dz/8EBERsWjRIovXnj9/vn///gKBYNu2bf7+/p9++mnNoCc7Xvzyyy+vvvoqAGzatGn06NGk5DJ8+PBBgwbNmjUrMDDwpZdg0yb/4uLiwsLCjIyMgQMHmh/kwYMHY8aMMX+E7AhEtoau+Su1LScn5969ezaeoFarf/31V5FI9PDhw/79+7c136mjQW7dukX2BZkyZcq1a9dqBr1GoxkxYsQ///xTUFDQTLJep9P9+++/mzdvHjt2bIcOHQAgJCSkwUu+6YdBb0Rq2TRsiFvbjN5iRszlgu2d2E2FDaEQbDSqKRTg5sHk+Ai1IUJ4tpWVZ+j1IJUCiwVKJeTnw717vLy8ThUVsGYNFBRsffTo4alTGSrVEJ0uNCysQ1JS8JYt4O8Pvr4QEgKRkRARodUCnw+eniAWV22zbIHH45m3sY8dO3b+/PkbNmzIzMwsLi42Be6KFSv27NkzefJkD7Nfx8svvzxs2LC8vLy1a9du2bLltdde4/F4mzdv/uCDD0aOHNmrV68vv/zSFPQKhWL48OELFy60iMIJEyYoFIpff/111apVwcHBAoFgx44dNYNeo9GYX2oWiURhYWGZmZmmUuyVK1fatWu3devWN99806LLZceOHf/3f//Xrl27hIQEmUzG5XL//fdf0x52KpXq3LlzSqXygw8+WL9+/dixYxUKxbp168huqQAwcODAFStWPPfccwBw/ToolaJLly599dVXW7Zs2bFjR9/H7+KpqalTpkyxuojsxIkT5OVff/11cHBwZGRkcHCwaTVDbW7cuAEA33777Zw5c6w+4cSJE5MmTeLz+VqtdvHixTNmzAix1oZQf7///jspu/n7+1stT6WkpCgUCoFAcOXKlaSkpMacy9zdu3ffeOONb775Jjw83HbTV00//vhjcnIym83u8PiSG4PB6N2797Zt22q76VDzQj1V5s+fP27cuMYcoW9fqm9fK4+npVF+ftSGDY05dr389Re1bJlxJCaLF1Pnz1d72smT1Mcf13qQvn2p5GTjFxkZ1KxZtT5z1CiquJj65BPq4MGGj/nh4cPpn31G3b5NXblCnTtH/f47tXkz9dFH1IQJVHLy/cSxkwL+nBN56Mboj6kZM6glS6hVq6i1a6mUFOqXX6gTJ6iCAkqtpsrKKJ2OHDAvL08oFD7zzDOkePLrr7/u2bNnwYIFDAZjyZIlNQfw0Ucfde/ePTY21t/f/+7du+RBg8Gwbt26e/fu9e/ff/Xq1RqNJjU19eTJk+7u7jk5OVb/IBqNxvT1M888o9VqzX+6a9eu0aNHW7xk3759/fr1I18fPXq0f//+Uqk0OTl55cqV5k/bs2fP0KFDydcnT5789ddfv/vuu+nTp5ue8Ouvv3p5eS1cuJCiqJ49e8bExLi7u7/wwgtWxykUUpmZ1AsvvNC5c+esrKz27dvn5+dTFKXT6UaNGrVgwYKaLzl27FhCQsKdO3dWr17t4+PDZDI5HI6vr++7776rVCqtnoXo06fPzJkzTYOvaerUqYsWLTp8+PCQIUN69OgRGxtLOiPrr7CwkIyfoii5XN6tWzfyF7Fnz54vvvjC4skajaZHjx5lZWV//fWX6TdP7Nu3r7y8nKKoioqKJxoARVE5OTk9e/YUCARsNvvLL79ct25dSkrKqlWrxGJxfV6enJxc8x9Vdnb2s88++6Qjqc3rr79++/Ztex3NAga90fnzVFQU9eWXjTl2vRw7Rq1YYRyJyezZVHp6taedPUtZSzwj8qcwGKjkZOr+fWrSpFqfOWAApdVSX3xB7d3byIHX6q+/qKVLqS9Wyfd894jKyqLOnqWOHqX+/JNKSaE2bqSWLaPGjqUGDqRGjaL69KH69aP69qX69NH26pUdGXmuZcv0Z575msd7i8F4l8E4OXYs9fPP1MGD1KlT1JUr1O3blFRKznL+/PnIyMhhw4bVHMDWrVt5PF5ISIiXl1dYWNiNGzfqM+znn3/+008/1ev1JO5PnDjRsWPHkydPWjyN3AwyJydn9+7dLVu2/P777ymKunXrVlRUVHZ2tulpycnJly5dMn9hTk4Ok8ksLCykKCotLa1Dhw7Tp09/+PAhRVEHDx4UiUTff//9kSNHrI6Nw6GuXqXEYnFaWhpFUd27d3/rrbdu3br12WefeXp6plv8W3mMfHoICgp644037ty589tvvy1cuLBTp07PP/98Xl5ezeerVKovvvjitddeKy8v79WrV2VlZVFRke7xmzGRlZUVExMjkUhMj4hEorlz527evFmlUpm/cdYmLS1t8ODBSUlJKpWKoqj58+d36tSJ/OjMmTOTJ09OT08vKip68803eTxeUFDQ8OHDR4wYQZ7Qu3fvd955h3y9Zs0agUDQokWL6Ojotm3bDh8+fOLEiVFRUfv27bM4Y2lp6YwZMy5fvmx65Mcff/T29t66deuPP/44b94803V+Dw+Pfv36bdiwoaio6OLFi7WF/ptvvtm7d++aj6vVam9v74sXL6alpWVkZNT5q7CtSYMeSzdGcjn4+tJRuqnWdfOYVAoWXQ82Sjdki3kWy/gEgcB4aWH3bigpAYsdNkn1vM5CUINRFBw9Cu3bA5vtXlTuDtGB8Hh3BKkU3N1rXZ7GBohSKKKUSpDJIu7de7B7NyskJLptW5BIIDcXKitBLofSUigrA4kEWKyeFJUWEMApKYFhw8DNDWQyYDBAJAJv74keHhHJyRK5nCEURnbpEvvgARQVgVAIHA6wWCAUglBo3JWfyzXtKPT8889v27YtLS3t559/Xrx48a5duyZOnFizmCMSidatWxcVFRUQEDBv3jzSLNSmTZt33nln+vTpPj4+SUlJd+/e5XA4Fl1Abdq0+c9//rNs2bKQkJAPP/ywffv2pssbQ4cOPXjw4DPPPGP1N6PXGxfE+fj4kDahtWvXzpo1a9OmTTwe74svvoiNjbX6QrIMQqvVkkvZkZGRI0aMuH37dmxs7JAhQ8xbRC5evHjnzp333ntPLBYfO3bM29u7f//+48ePP3ny5M8//2x+aeGzzz7r1KkTWblG7Nq1a+vWrTNmzHjjjTfI3dNWrlxZ8/o8cf/+/VdffbVVq1YajaZdu3YdO3Y8cODAG2+8QX7apUuXiRMnbt26tWXLlvn5+V9//fWDBw9OnjxpasXZtm3biBEjli5dmpOTc/HixR49eigUCiaTmZ2dXVZW5u3tHRMTM2XKlMTExNdff52U70pKShYvXpyenp6YmLhs2bI5c+YIBIL09PT58+e/8sor5BrG//3f/23dupXNZs+bN2/ZsmWzZs2aP38+i8WiKCo1NbVVq1bmSxoLCwu3bNly4sSJmn86Lpf71VdfJSUleXp6ent7v/POO+YXeJoVDHojuRx8fJ4g6CsqQCwGsxsL1he5GGChZtDzeLVGM+mY5HJBLgc2G9zcjEF/7x6cOWMZ9GRVqYcHNG5T91q9/TasXw83b0JeHlhs0vzxx/DSS1B97VR17u7g7g7+/u6RkTEDBtR5LmPbvFwOKhXweMBiQUUFlJczFIo+zz4LGg0oFFBRATdvgsEA5eVVG7+RlUdyuXE1gUoFHM4cBqNXRgakpy8ODCz8z38mtmzZ9uxZGDsWBALg84HFAk9P4PHA3X2St3fCe++pmcxObdvCpUvk729icPB/L1+Wubt/t3dvUlLSnu3boaICzAKRwWDMnj3by8urb9++b7/99urVq83/LLWlPBkvVO8L6Nev3/nz58vKyry8vPxruwwCAACTJ0+2eKRNmzapqakDBgx4//33BwwY0LNnz2vXri1atOj8+fP9+vVLTU0lnexjx47973//GxkZOXfu3JMnT5KO0rS0tB9++MHivjEDBw4cOHBgTEyMwWDw8fFZtWrVkiVLIiIiWrduLRAIzCMyIyMjISGhc+fOv//+u0wmGzNmTFlZ2bRp0957vODCzc1t27Zte/fuzc7OjomJqXmRICIiYt++fRMnThQIBFlZWaar9xUVFab3nhEjRly4cCEzM/O3335r3779mTNnrly5cvz48S+++OKbb775+uuvDQYDi8XKyckxXanu3LmzaT+MlJSU8ePHHz9+fMiQITdv3uzatWuvXr3InWru3r376quv3r9/f8uWLeYrvc2NHj36+vXrZF3h9u3bz507Z3Gj6WYCg95IqQRv77qD/s4dOHUKpk6Fbdvg8mXYtu2JT6RSWdkYrebFWDe3Wns9SdDz+VBSAkJh1Yz+0SO4cQMePYKgIFCroagIwsKM12w9PMBsN3t72rULEhIgMhJYLNi5s9qPKiogL6+xx//sM3j77eoPkcUHhLs71NKcVx/G66QUFVZc7BYQAHI56HQglYJOBzIZ6PUgk5H3lXYsFuj1UFxsfMM0GHh6/c4xY0Q8Xml+foCXF2fRIlAqQa2u+guWyTzc3XPCw0OVSm5qKgwcCDye8V2EyyWrHMDNzfgJw/SIu7vaPRRgeOU/qQCl4OlJPhP58Pk+AoFxPGSvCfOX29S+ffvXX399586d69atoyjKYDCMHz/+5ZdfHj9+vGm9Umxs7IULF1gs1jvvvJOUlNS5c+fp06ePGTNm3LhxVjewM4X1gAEDevfu3aVLFyaTGRMTExQUNHHixMLCwps3b/7999/79+8n67+EQuHhw4drrjPo3bt379699Xp9bfcWDgsLO3r0KACYCguV5gAAIABJREFUt9+Yf8LYsmULm83+5ptvPvvsszNnznTo0OH48ePx8fFbtmzZvHlzaWlpcHBwRESEt+mXVsOzzz777LPPAkDfvn27d+8+dOjQDh06tG/ffv/+/YMGDVqyZMmwYcNqe61AIPj8888//fRTpVLp7u4+aMCACUlJrfr3b9OmzcGDB9euXRvZgMlgE8CgN1IqQSSqu76RkQEnTsDUqVBQUO/9EqpTqYCs6GQwqvoR9XrLEkfN24kQGo1xQ2M+H4qLQSgEFsu41vf2bWjVCv7+G8aNg//9D376Cc6cadoZfV4etG8Phw8DiwWBgWDR9i2VgtnmaQ2h1VoLertjMNzIfgxkLUO912oGAQCA7S0xW5t/QxqcAKCiAgwG40cQANBqq/56xGLlPRkAqLPvg/a68V+k+RMkEuNfql4PEgnI5dUKZBafDR+/T6wAWNq587fFxQnJyRUVFc8EBHiXl8OOHaDVgpsbCIXA5QYwGEBRKUOGfJaZee/ffw+98sqdRYta+PszU1KMR+NwwGAAvd54Ro0GBIIogMvvvptz/bri7l0/P787d+7cmjpVJBL1bdVq0ZAh7a9cgRs3wN0dlEpwczNmfGUliMVAUfB4HQMLIBYADh6sGrnplwNg+63My2CAiopFAO8MH65jswGAu3Mn7NwJcvlU8gHu3j04fx5+/tn4AlOfz+NfThWZrJtOd7dbt4cPH5aeP7+yXbsonY7x5Zfw5ZcQEAChoSCVgl5v/Hs0/W0ymUyt1oPFAr3+cGXlrdxc7eefX1epJnM419PSImt5A6MZBr0R2UugzuzOyYGHDwEA8vJsNTXaPhG5mQTZcb62dZTkv4YFioI+feCXX4xBT2b0JhIJjBtnHFV6OpgvoOHzm6RGn5oKgwcb/7MIhZbvJRUV8PnnsGxZrc31dSKrvpwHi2V8F7H5XiK7CZwPoXLwS/DqSzaeVjfyCYOorORqtf0iI+OTkoCiwMMDGAwoLAQ3N1AoQKEAiQT0erKo4u2JE5VFRbevXw95fCN7AACKAqnUuNmeaQ5SWQkAYQZDWEICTJgAbHaSVqsoLXUnNRbyL4PcJ8vij9yhA9i+LQGLZZzCMJnG0dp+Jp/PZLG4pndBAOBywWCwXIgIjz88URSUloJGAzqd8TMWADAY4O3trtdH63TR5AMEg2H8/PTgAZSWApNprM6Rqz58vvG/8eMP6SyAdgDS+/eF169HPPOMzuyTh2Nh0BuRWzU9elTH027cMG4zWVAADbtPp2lGz2bbOoLVGX1REWRnQ2Ul8PkgEEBpqeU/49BQIPujVFQAiwUUZQxZHs/WxmcNJpFU/f8lH1DMqdUweDAUF0NQUAOPL5M11TXk5kwmAz8/e/x9ublB9e2A4mvZXNrKSwE6NvS0lquNm63q24XWITwcwsOt/6hGc4VnRIRnRAQ0p3h18jtMWSD9KlbVuTsYUVpq/LhpYxWobQpFVdDb2GjLVJAxV1wMFRUgkwGfDx4eUFBQVawmzTy+vkBuAC6RQJcucPWqcbRNNKMXi+uoc8THw/XrDT++VOqKQS+Vgr//EwT9L7805WiQU3CtoLfa8UIoleDnV/deNyoV+Psbn1Z9m/T6UiiM4Ws76K0ihc28PODzwdcXrl0D02pTiQS8vSEkxHjRVSyG/v3h77/B1xegyWb0166BxWbDpt8JRQGDAbGx8O+/DT9+aSkYDNX23XQF5eUQEQH1uLsUAMCjRzBz5hP/Q0KuxrWCXqMxNinUzGiVCgID6y67UxS0bAnkDmhMZh1lRquUyqpZNvkAQUox9SGVQkAAXLhgDPqLF4FsTMtggFgMPj4QFma8hAAAbdvChQtVQd8UU+P798H8rk0tWkBhofFr0nvSq1e1C2xPinw6aeRblEoF9duLvrmQSKB1a0hNrdeTL1ywT3cTcm4uF/RcrvXieD27bgDAxwd27oTQ0Kq+RttWr65WvpBKjYV1UxWeTMbrQyqF0FAoLTXeu7C01Fj+5vPh/n3LyXV0NOzZY7zw6+VV3xniE2EwqrWKhodXNXEqFODhAX5+wOU2fEpeUgJcbgMveptcvw41tlVu1uRy6NoVTp+uV1vXw4eQkFDfdwXkslwr6Enphs22Ej01lyzVxssLPvsM5sypWqlk2/Hj8M8/Vd+aYt0U9GKxcd5tgcEAiqr23vPgAbRrZwz6Nm2AxYLQUAAAkQiys42ZLhJBRga4uUF4OLDZQFZrentDLXubN1xenuWOmwEBUFRk/NpUoWrfHhrcYCYWQ2hoYxtD8/OhoTv4OoZCAUFB8PzzUJ/7aKWmwogRTbVIoulIpfDKK44ehCtxraCvrASBwHhfPQsSSd1BTxrYExKgogICA+s1TVar4dSpakknkxln9B4exqAvLra+6aOPDwwbBi1bgmnz9sJCaNsWxGIQCCAyEkaPNl5yaN8ezpwxNhF06gTr10N8PHA4cO2aceti8p5hXzt2gNnO7cYBm7KprMx4nTYuDs6fb+ApJBIIC2vUjP7kSXjrLSgufpqq2Pfugbs7iET1em8uKIAOHaCgoOmHZVdnz8Lx444ehCtxuaDn8y3vq0eQPWFsI+HVrx/Ex0NoKPj6Wt7Ru6aKCkhIgLt3qx4xGIw9wUKh8bN5cbFxMm4hLg4OHQKxGEx3lJPLISQECgpAIAAGo2olavv2sG8fkA1xO3WCP/4wbjwQF1fVGmR6X7GLAwdg5Uqw2G49MhJMq+Xv3gVyX6akJKi+hP4JiMXQurWxUt8wEybAM8/A88836iA0u3ULoqPB07NepRuFArp0gaNHm35YdlVQ0NiKHHoirhX0KlXVEocGSEuDmBhgseD6dWCzwd8fiouNP6otQysqIC7OePGWMK388PIyLqyrLeg/+ABSU2HSpKrufrkcQkMhL8+y1BMQABwOkC3TyY49CQmWR/P1rVcpoJ5++w3efx/atKn2YK9esH+/sdaUlWW8NZaPT7X3uforK4ObN6FPH7C29Xq9qNXw6BEkJxuvZzwtyF5tpn8eVimVsHQpKBTAZEJwMLRoQcddMO1IIgG1+inrpzIYwLSNTU4OrFrVJJ1sTcS1gt7GjJ6w3UhTVlYtkYOCjBF84wbUdneEkhLw9wcGw3j517yR31TRPn/e+u0C2Wzo1AkmT4bDh42PyGSQmAhubtCuXbVntmwJ7doZJ++hodCli5Wif30+f9STRgPHjkHN/QoZDHB3h//9DwCgoMB4cTg4uNobjFZb31aldetg0CAYNAhs3v7IltRU6NYNBg+G8PAnOIhEAhkZkJ8Py5bRsZspAJSXw3//a/zadNXHy8vWjP7IEVi5EhISjNd7QkOh9pszNkdiMYSFVc2TngoFBUC23Tx2DNq1g88/h2vXHD2menO5oBcIrFyMNd31ydvbVtndVF4n/PyM0fnzz1BQYP2aYXExBAZCaKgx7CSSqv0N27SBO3fgf/+Dy5ehln1nAQB69araQ0ajAS8viImx3DUzPBxWrTJ+3bo1fPONleMEBta97reeioqgUyewttUV7N8Pq1ZBURFcu2Z8ApMJgYFVE+oBA2Dt2rpPUVYG69bB//2flcl4WlodNyI3OXkSRo6EyEhISoK//67XSwBg1CgYNw7i4mD5cvjpp/q+qjEWLoQ33oCMDACA9HTjAkzb/xRPnYIxY6CoCMi9dRMS4PJlOoZqL8XF0KNHoxbT0e/ECZBKobwcdu2Cvn2Bx2v4xSf6uVbQk+bumhdjybwbAESiqumnTmc5oSsrq7Zq2jRHvnoVJk6Eq1etnJG8RCiEH34AAEhPh8f3pIM2bSA1FZYsgS5dbI2Zw6kaBrmgeuyY5XPYbBg8uOpbqxEcHd3YLcZMzpyx/hEEAMLCIC4O+vWDNm2q9lXs3h2uXAEAYxPRoUN1n+LYMZg9G9q2tfIZ69tvrf+qayoshCFDAAA6dTLGaJ0UCjAYoHdvkEhg+nSg4ebPYjGkp8P27cb3v/Jy48c1G5f6KQquXoXvv4cHD2DoUACALl0aHjqnToG1W503rZs34e23YepU+/cINJ3btyEqCjp0gJ9+gl9+gV9/rVqz0vy5YtDXnNE/fGjsFPT2rvq8/N578Oqr1Z5musBIhIRAWppxF8LoaOt/62Qd08yZsGwZ/PwzfPstPL6HKLi5gVgMAQGwa1e9Bq9UGus/Nbdpqo/ISLh9Gy5erCoENdgvv0D1G7JWM28e8PkwalTVI127Gj/knj0LUVHA4dS9TVBOTrW3LnN5efVN7dRU4x7G7u713RwtNRW6d4eVKyEtDZYsgdRUOy80u3ULVqyo9sh//gMvvwyJiXD8OBQWwpo1xjVofn61XlfIyCC3JTFt/gjt2ze8dHPxYn132xaL7fPbIOs/unWDvn1r/SCSl2esATYfFy/CV19Bjx5w/Dj4+0PbtvD03BvcJYOez7dcKpmbC2FhAABeXlX1jUuXqrrCibt3obXZtrNBQVBWBjt3QrduEBoKu3dbOeOdO8bSwauvwoQJcOgQ9OxZ9dP58+Hs2bqHLRSCRAI3bhjXwTZMx47w77+QmgoLFsD+/Q0/DgBIJJaNleb69YNr16pV8Dt1ggsXAAD274cJE8Df33JD45r+/htq3OvJqKAA3nuv7iOkpf1/e/ceFlWZxwH8HQYUBeQioCBySxG5CaJgXBbwIVAU0JQIxTZBV9Z0FfGyrmlpqZXoro8F1OYmD0sqKi6aibWKGalYBJoJYiKICiZ3Ri7DzHz3jzPLAA4IBA6efp+/zry+58z7G5zvnHPmzHmZtrbiutVhwxTn1sTiDr9saO/qVebqykaOZPb2zNychYayb7/t0KG4uPNt99tIpczfn3l5yQ8KlX6gnj/Ptm9XnHoqL2cnT7KYGGZkxGJiWFwcGzZMfhRibMwePWKAko+ou3dZcHCHlqFDWX3902/goVRODquq6u4nV/fvM1tb5ubGPD2VHE32QX4+mziRCQTM01P5b3rv3GHm5iwy8ul/5d7q86U+3I2lAwLYsWPyS5aNjVlV1XPzfezvK+i5G4p5e3d+9xYVyXfV/f3Z8eOMMVZRwWpqmLY2q6xkGRnyEOd+WNtGIGCrV7OFC5mnJ5s8WXERZHuFhfIj8YULWUgIS0lR3J2GMbZ0aZf33mnP0pLdu8cePGBOfb6jIGNqakxHh/373+zx4w5BP326Yq/q9u2nX48kkXQ5O2BXTEyYnh7LyWFJSczLi1lasqys7vqXlbGaGiXTs7TR13/KXQ0yMuTzW7WZMIHdusXEYlZczL78ks2apTwW793rMJGJl1fnLzxOnmQbNrB2s/Ip5OQwCws2eTJLTWWpqWz9eiV9UlPZnDksIUH+8I032MqV8kr9/dnhw6xtOkIjI3bjBtu3j5mZdfjS8vZtFhsrz5r29PUVV6avWsXefZclJ/fofE5NDbOw6O7biE8+Ybq6zMiIFRWxVatYj++A2d0GIyIY6/p7iD17WGIii4zs6cFuD2VmMnNzduBAXy4/27xZySHm/PksKalfhjbwBmgu2gHyGycHf+stnDuH+noEBnZod3MDN0l9ZSVGjcK//oXUVDg4YNs27NyJuXNha4sPP4TSCd/j4/H4MQD4+KChQdEuFqOlBVOnyh+KRHhiEvme2rwZ8fEIC8PZs33cAufzz+Hri8ZGGBtj9Wpws0CPHIkVKwDg7l3o6aFttuqPP8bKlWhp6byRwkIsXdrrp05OxpQpWLYMAIqLsWBBd53j4/HRR4qHISH45hv58t278PXF+fMwMUFREZqb8fbbkMk6rC4Ww90dEREdBp+YCD8/hIfDyAimppg2DU9MAw4AXl5oaurQ4uSE9tNlz5sHPT2MH69k3bVr8dVXePgQlpbyZ8nPV/xrTQ0+/hgzZuCXX+DtjaIiHDqE8ePx8KG8g0zW4f8PgEmT4OqK5GQEBKC5Wd4YF6f81eNmtz93DosXw8QEI0ZAUxOMwcMDyiYGlysrg7c3Tp+Gi0uXfebOxcmTkMnw44/IyoKaGgoKuuz8JKkUJ08iJUX+8OZNWFvLl7/8Ejt3ypcrK/HPfyI9HUVFsLGBVIr792Fvj19/VQw1IgIHDuDSJWRm4v591NUhO7tHYxCJcOAApk2DiQnU1REVhZAQzJ0LZ2fk5Dx9dZkMHh5K3gslJXB27tEAemJAJwf/fQX9G2/g2jUAmDYNxcWKdh8f+UJrK0aNgoYGhg9HXBz27wdjGD4cISFgDGlpT9l423aam+HujoQEvPJKnwerUFoKU1M4Of3W7chk8liZPRuMwccHFy/CwwOTJ2PxYqxZA19fzJ4tz01HRxga4vTpzhvZtAnvvdfrpz5zBkOH4oMP5A+9vbvrqauLW7cULStWYMMG+fL+/YiMBICYGOjoIDYWenqIje1Q49atWLOm82br6rB2LaZMwbp1SErCiRNKPq5kMvj6dm5cvx5//7t8uaQE06bh5ElMm4bMzA7drlyBt7f8I+Grr3DwIBISsGSJosP+/RgyBDt2yMtXU4O6OiIiunwduO18+ilkMlhZyV/z9HRoa+P8eeX9Z8yAmhqsrREfDwA3b+LIEYSHY+xYfPll585SKRIS4OCApCQAeP11HDuGqCjcvNmh28GDGDOmQ0t4ODQ0MGIENmzAjh3Yuxf19d1VsWMHNDSgpobEROTmQldX8SL//DMcHLByJRITYWgIdXUMGQItLezaJe+wZg3GjUNzM+7cQUAABAIMHQo1NaipQU8PI0dCKER0NCoqUFOjeMarV6Gri3Xr0Ngob9m6FUIhvv0WhYU4fhzjxoExMIZZs6Cnh8BAJCfjgw+Qng6pVEkJM2ciNFRJu0SCcePw6ac4dQoXLnT3IvQEr4K+vr5e1mkHrDd+Y9C7uuLBAwBYsACff45Hj9DYiOXLO+zgnz8Pd3eYmaGmBq2t+MMfEBGB5GQYG+Peve42np+v2FXJzQVj0NJS8gbrm7/8BUeP9s+mADx+jJEjYWMDPT0cOoSiIjAGoVCeVklJqKqCpyfOncOWLR1W/P57ODt3SOEeqqnBjz+itVX+0NdXsSfb3vXrGD8e0dEdGs+dg54egoNx4wamTpW/pM3N+PhjCASIioK9vWJv68YNMIb//lfJxts+5zgeHp133t9/H1FRnde6ehWjRwNAaSkWLcLq1QDw4Ydwd++wi/fSS52j/9YtCAS4fx8yGb76CmZm+Mc/5Pvs3L5qeTkePVIyzift3g0rK4weDX19xMV11/PcOZw61aGlthaTJmH06A6HC3v3ws8PQiHi4lBVBQCffw5NTWhpISZG0U0qhbl55/0bsRhlZXB3h709HBwgEGDmzC7HExsLTU18/z3S0zFsGDQ1oa6OY8cUHebPh5oahEIYG0MsRmEhEhMVh2gyGdatg40NzM2xfj0++wz79uGjjxAZiYQEZGbi0CFYWkJLC7t3yz9vzp7FhAlYsQJCIdzccOQIzpxBaCiyshRPWlmJtDRcuICmJpw6hREjoKYGIyMYGCA5GbdvK3q2tMjf13fvKi/wzBn5e0dXF+++2+Xr0BPPfdA3NjZu377dxsaGm95XXV19/PjxW7dubXnyWOhp+hb0YjHWrUNKCkxNIRYDQEoKNDVhYIDZs2Fvj0uXFJ1lMohEnfdrgA67DEpJJLC2RnAwUlLg6oqgIISEPH2tHur9S/V0ubn44x/ly2ZmmD4dAL74Qr7HtHw5Skthayt/QR48QEUFTEx+6/9mTmoqZs/G48f49FOsWQOpFFIpbt2CrS3CwlBY2Ln/3/4Gb29YWMDUFOXliva8PAD4859hZ4fkZCxZgkWLsH59h5MtXQkKwq5dqKuTH+QdOAAbGzz5RpNK4e+PsDCEhsLaGrm58vbXXsOqVUhIwKVL2L8fjo6dV5TJsGcPXn8dq1ZBIOh83q+3f9AffkBaGr79tndrcaqq4OwMX1+89hq2bUNoKAwMYGqK9PQO3T77DKmp0NNDVBSOHkVjI8LDoaOj/CP5l19QVobmZuzaBaEQXl7YvBknTuDqVflb7P59REfjxRdx4IB8lTNnkJbW+RVuasLt20hPx9q1ygcvlWLfPvlhh1Jvv43Fi2FkhFGjMGkSzM3h4YH6epw8CQcHaGlhxAhMnSofVVe++QYtLbhyBWPHwsYG5eVobcXRo9DSwrBh3b3sEglSUuDvj+nTERQkP9zktB1P9NBzH/SLFy+eM2dOdnZ2dXV1a2trdXX1xYsXw8PDozvtufVAb4P+4kUEB8PCQn6ktmiRvL26GosWgTEIBKio6O0ouvTmm2AMampYuRIiUb9tduC07eUdOaJoTE7Gxo1obYVMhqAgrFyJ0FAMHw4NDbz++lPeMD3066+ws8OIEfI/wbx58r1OR0d8/73yVXJz4eCAsDAl//TjjxAKwRg0NJR3UCopCY6OCAwEYwgLg6kpDh3qcrTBwZg1S3GiHMDDhxAIoKYGxmBtjZISJSuKRBAIEBwsP5eiQocOITIS6uoYOxYaGkhJQUmJ8o/DsjJYWoIxODsjIuLpZySkUrzzDuzswBj09eUr6ulBKMTMmYpjuIF24QKiorBsGfbuVTQWFuLaNZSVKU70P5VIhClTIBTCxASMYcsWJbsdXeFO/a1ejchIREbC3Fy+D9FDz33QGxoaNj7x6SaRSMzNzbtZ6/Dhw65PMDU1HTlyJLd84cIFANeuXWv71ydb/PwehYfDxeWxgUHm6NHJjo6z2vcxMjoybtxferKdHra0tuLs2QJ7+zAXF8/fsp3B02Jr+8dp06pmzsTUqSJLyy1OToH9teXJk6e+++6NXbvw9dcFhobHDAwydXWzjx3L6WatSZNemjzZXemWKyuRmVng7OzXq/GEh8PPr27s2A90dH6wsNjW2yrGjNk3YUL0a6+V3r7dTZ+PnJ19B8nf1MjoyKRJ/k5OAd98091atraLxo9fPm/efYmkF8/l6DjbxcUzISE/Nhbbt9+1t5+nwkp/Y0tiYv6uXUhJ+aW327l3Dz4+9fr6Z3V0cvT1/xsRUdbzZ58wYcLABb0AA//TtMmTJ2/ZsmXOnA5T2mdlZa1duza3h79x/L+0tLTKysrly5f36wAJIUTFlixZsnHjxhfa/1Sn/zyLacoTExPDwsK2bNliZ2eno6MjEokKCwsrKyszMjKewbMTQsjv3LMIend39zt37mRlZZWWllZVVenr6y9dutTHx0fY2x/eEEII6b1nEfSMMaFQ6O/v/2yeixBCSHu/r1sgEELI7xAFPSGE8BwFPSGE8BwFPSGE8BwFPSGE8BwFPSGE8Nwzuryyv+jq6u7YseM4NzlID1y+fHlIT6b2eM41NjYOHz5c1aMYcL+TMpuamoZ1M+sKXzQ1NWlqagoEAlUPZGC1tLQ4OTlptc362LWysrIB/LsP0K0VBgnfJ+8vzkdUJp8EBgY2t799Gk8tWLDgPjfdD6+tWLHip59+UvUoQKduCCGE5yjoCSGE5yjoCSGE5yjoCSGE5yjoCSGE53ge9Orqz9n1o31DZfKJUCjk/UWHjDE1NTU1NZ7nDxs0ZT6LGaZUqKGhQUdHR9WjGHBUJp9QmXwiEom0tbVVPQq+Bz0hhBDVH1MQQggZUBT0hBDCcxT0hBDCcxT0hBDCcxT0hBDCcxT0hBDCcxT0hBDCc7wK+tOnTzs7O+vq6np5eV2/fp1rvHLliqurq5GRUXR0dFNTk2pH2F8SExMtLCz09fWDg4MfPnzINfKyUsZYY2Pj6tWr2x7yr0wfHx/B/wUHB3ON/CvzwYMHQUFBBgYGnp6epaWlXCPPyty9e7ego++++44NhjJVfUP8flNWVqalpXXmzJmGhoZ169bZ2dkBkEgkY8eOTU9Pb2xsDA0N3b59u6qH2Q+uX78+atSoGzdu1NTUvPzyy9HR0eBppZw//elPmpqa3DIvyzQzM7t9+7ZIJBKJRE1NTeBjmTKZzNHRMTU1taWlZfPmzQsXLgQfyxSLxaL/u3LliouLi1gsHgxl8ifoDx48GBAQwC3X1tYKBIKampqvv/7a0dGRa8zOzraxsVHdAPtNRkZGXFwct5yWlsbNu8TLSgFkZGR4enq2BT3/ymxqatLW1u7UyL8ys7KyXF1dueXW1ta7d++Cj2W25+fnl5OTg8FRJn9O3QQHBx88eJBbzsvLs7Ky0tPTKy0ttbOz4xrt7OzaDhifayEhIfHx8TU1NefPn09MTHz11VcZY7ystKKiYtOmTYmJiW0t/CuzpKREXV19ypQp+vr6L730UnFxMeNjmbdu3TIxMVm4cKG1tfX8+fMBMD6W2SYtLc3ExMTNzY0NjjL5E/RaWloGBgaMsRMnTkREROzZs4cxVlVV1XbjJB0dnZaWloaGBlWOsv/k5eXFxsbevHlz6tSpjI+VAli8ePF7771nbGzc1si/Muvr6z08PA4fPvzrr7/a2dlxH9v8K7OmpuaLL76YO3fu1atXbWxs+FomRyaTvfPOO2+++Sb3cDCUyav7vtbV1cXExOTn5x89etTT05Mxpq+vLxKJuH9taGhQV1cfDHeS6xfTp0/Py8s7fPjwq6++WlRUxL9KExISLCwsZs2a1fZtM+PjH9TNze3UqVPcclxcnIWFRXV1Nf/K1NXVdXFxmT9/PmMsNjaWOyTlX5mc06dPGxsbT5w4kXs4GMrkzx59a2trYGCggYHBtWvXuJRnjFlbW9+8eZNbLiwstLKy4sGdvnfv3v3JJ59wyy+++GJxcbFEIuFfpZcvX05NTdXR0bG2tm5ubtbR0bl06RIvy8zOzuaWNTQ0hELh0KFD+VempaUl2t0oVyAQqKur869MTnJy8oIFC9oeDooyn/3XAgPkyJEjrq6uze0AkEgkY8aMOXfunEQiCQ8P37p1q6qH2Q+OHTtmZ2f3008/1dXVrVy50tvbGzytlFNRUdH+qhuelXn8+HFjY+OCggKpVLp+/foZM2aAj2WKxeJRo0ZlZmZKpdINGzb4+fmBj2UCEIvF2tqC+tAKAAADNklEQVTaZWVlbS2DoUz+BP1f//rXTp9htbW1AH744QcXFxdzc/OoqKiWlhZVD7N/vP/++y+88IKBgUFQUFBJSQnXyMtK0THowccy9+7dO27cOGNj43nz5lVUVHCN/Cvz8uXLzs7OhoaGQUFBbTnIvzK/++67MWPGdGpUeZk08QghhPAcf87RE0IIUYqCnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnhBCeI6CnpDuNDQ0vPLKK/r6+g4ODjk5OaoeDiF9QUFPiNzp06ednZ11dXW9vLyuX7/ONW7cuNHY2PjRo0e7du2aN29eS0uLagdJSB/Q5OCEMMbYvXv3bG1t09PTPTw8tm3bdurUqZ9//rmxsXHMmDFFRUVGRkaMMX9//2XLloWFhal6sIT0Du3RE8IYY9nZ2Z6engEBAdra2ps2bSooKKitrS0oKNDW1uZSnjHm5OR05coV1Y6TkD5QV/UACBkUgoODAwICuOW8vDwrKys9Pb3y8vLy8nJDQ0Ouvamp6eWXX1bdGAnpIwp6QhhjTEtLS0tLizF24sSJZcuWJSUlMcYEAoGVlVVWVhbXJz4+vqqqSpWjJKRPKOgJkaurq4uJicnPzz969KinpydjzMTEpLq62szMjOvQ1NRkYmKi0jES0hd0jp4QxhhrbW0NDAw0MDC4du0al/KMsYkTJ0okkpKSEu5hTk6Om5ubyoZISF9R0BPCGGMZGRkSiWTPnj0ymaylpYW7jHLYsGGLFi166623pFLpiRMnHj58GBISouqREtJrdOqGEMYYy83Nzc3N1dTUbGupra3V1dXduXNnVFSUkZGRqanpf/7znyFDhqhwkIT0DV1HTwghPEenbgghhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOco6AkhhOf+B4W0Jyo8m6sPAAAAAElFTkSuQmCC)
7. 4S Peak Filling
## Plot spectrum
plot(XRD, type = "l", ylim = ylim, xlab = "Energy (keV)", ylab = "Count")
abline(h = 0, lty = "dashed")
## 4S Peak Filling baseline
baseline <- baseline_peakfilling(XRD, n = 10, m = 5, by = 10,
lambda = 1000, d = 3, sparse = TRUE)
## Plot the baseline
lines(baseline, col = "red")
## Correct spectrum
corrected <- signal_drift(XRD, lag = baseline, subtract = TRUE)
lines(corrected, col = "blue")
![4S Peak Filling.](data:image/png;base64,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)