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gh-566: add example on galaxy redshift distributions #567

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@ntessore ntessore commented Mar 6, 2025

Description

Add an example that describes the caveats for sampling galaxy redshift distributions from a set of discrete matter or lensing shells.

Closes: #566

Changelog entry

Added: example on effective galaxy redshift distributions

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ntessore commented Mar 6, 2025

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@Saransh-cpp Saransh-cpp left a comment

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This looks good to me, thanks, @ntessore!

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@paddyroddy paddyroddy left a comment

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A few comments

"\n",
"lmax = 200\n",
"\n",
"pars = camb.set_params(H0=70.0, omch2=0.25 * 0.7**2, ombh2=0.05 * 0.7**2)\n",
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Most examples are setting their cosmological parameters before calling camb.set_params, i.e. https://glass.readthedocs.io/stable/examples/1-basic/shells.html

"plt.plot(z, nz)\n",
"plt.xlabel(\"$z$\")\n",
"plt.ylabel(\"$n(z)$\")\n",
"plt.show()"
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plt.show() isn't required for notebooks

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I think it's good practice to prevent other stuff being output from the cell (e.g. if plt.plot() is the last command), and it also prevents head-scratching when copying and pasting into a script

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; also suppresses, i.e. plt.ylabel("$n(z)$");

"plt.legend()\n",
"plt.xlabel(\"$z$\")\n",
"plt.ylabel(\"$n(z)$\")\n",
"plt.show()"
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plt.show() isn't required for notebooks

"plt.yscale(\"log\")\n",
"plt.xlabel(\"$\\\\ell$\")\n",
"plt.ylabel(\"$C_\\\\ell$\")\n",
"plt.show()"
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plt.show() isn't required for notebooks

"outputs": [
{
"data": {
"image/png": 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jtCg9WlkJIbxYBAaxiEAffXL+aH1y/mgV1rTo1X1F+tfOsyq/RE8wQ9L7p6v1/ulqRQb56PEbJuj2GckDVzQA9BArhNBrrBACAAw3dodTB4vqtOlERwh0qKiuR6cQXWzlpHh9cflYjYsNoqcIMMwYhqG9BbV67v18rT5SpnbHpb9JBPt66b4Fqfro7BS2kgHoNVYIAQAA9LGKBqs2Hq/UhuMV2naySg1W+1XdLybYV7NHR2h8XHAfVQhgMDGZTJqZGqGZqRFqbrNr1aESPbu9QEdLG9zOb2yz6zfrT+q3G05qeUasPjZ3lBalR7E6EIDHEQgBAIARxek0dLCoThuOVWj98QodKXb/Iq6nLGaTZqSEa+mEGC2dEK3xscGsCgJGiEBfL905K0V3zkpRflWznns/Xy/uLlRLu8NlrtOQ1h4t19qj5RoVGaAVGbFqtTn0mSVjlBxB/zAAA48tY+g1towBAIaK+labtuRVav2xCm06Xqnq5vbLX3QJ4QHeumZ8jJZOiNGSsdEKDfDuo0oBDHVtdofePlSqP20+rWNljZedb5K0eFy0vrg8XdNTwgmUAbjFljEAAIAeOH8i2PpjFVp/rEJ7C2rluIJmQONjgxXi76Xd+bWdj2XGh2jZhI4QaGpymCxs9wDghq+XRbdMT9It05OUW9qgf+wo0Ov7i9XsZtWQ1NGEetO50wvHxgTpi8vTdcPEeHlZzANbOIARhxVC6DVWCAEABhOrzaH3T1V3hkDFda09vjbY10uLxkXpmvExWjw2WnGhfjpR3qifrT7eEQKNj1FcqF8/Vg9gOGtqs+u1/cX6546CHq0aCg/w1meWjNE9c1IU4scKRAD98/qbQAi9RiAEAPC0krpWrTtWoQ3HKrT9VJWsNucV3+NHt07U7TOS5c1v4wH0M8MwtKegVr/fcFIbjldedr6Pxax756Tos9eMUUwIoTQwkrFlDAAAjGiGYeh4eaPW5HQ0Zj1cXH/V93QaIgwCMCBMJpNmpUbomftmq7CmRX/efFov7i5Uu8N9mN3ucOqZ7fn6+44C3TotUV9cPpYG1AD6DCuE0GusEAIADAS7w6k9BbUdIVBumQprer4VzB1vi0nzxkTpusxYXZcRy1YwAB7VaLXp3zvP6o+bTqum5dIN702SVk6O11N3T6P5NDDCsEIIAACMCC3tdm0+UaU1R8u0/liF6lpsV3W/YF8vXTMhRisyY7VkfDQ9OQAMGsF+3vr0kjG6f+Forc4p16/XndCJ8ia3cw1Jqw6XKtjPS59ZPEapUYEDWyyAYYVACAAADApVTW1al1uuNTnl2nqySm32nvUDCvX3lq+XWRWNbV0ejwvx61gFlBmruWmR8vFiWxiAwcvLYtbKyfFaOTleewtq9cu1x7X1ZLXLPMOQ/r2rUC/uLtTKyQn63DVjlBEf4oGKAQx1BEIAAMBjTlc2ae3Rcq05Wq59Z2vV043siWH+ui4zVisyYzVrdIRe3F2ob71+RONig7QiM07XZcZqUmKozBwND2AImjEqXP94cK7yyhv1i7Un9O6RMl387dFpSG8eLNGbB0t0fVacHl42RjaHoekp4R6pGcDQQw8h9Bo9hAAAV8rpNHSgqK4jBMop06nK5h5fazGb9PA1Y5Q9MU6Z8SFd+mfUt9hU29LO9gkAw1JhTYueWpen1w4Uy+a49Mu3maPC9c2VGZpGMAQMKxw7j0GFQAgA0BN2h1O7ztTo3Zwyrc4pU3lD2+Uv6sa/Hpyj+elRfVgdAAwdFY1WPb31jP7xfoGa2x2XnDt7dIS+tTJDk5PCBqY4AP2KptIAAGBIaLM7tP1ktd49Uqa1ueWqab70yTk9MXMUv+0GMLLFBPvp8Rsy9Lkl6Xru/Xw9vfWM6lvdN93fdaZGH/7tNs0fE6lvrsxQVkLoAFcLYLBjhRB6jRVCAIALtbY7tOlEhd45Uqb1uRVqbLNf1f1Mpo4Q6EOT4nXDxHiOhweAizRYbXp2W75+v/GkrLZLN+K/LjNW3/xQBltrgSGKLWPwqKysrC4f22w25eXlSSIQAoCRqsFq04ZjFXrncJk2nqi47AuSyzGZpFmpEVo5KV7XT4xTbAghEABcTn2rTX/adEpPbzmjNkf334dNJun26Un6SvZ4xfD9FRhS2DIGAAA8rqa5XWuPlundI2XadrJa7Zd48XGhiYkhuj4rTnsKarXxeGXn4yaTNDs1Qisnx+v6rDhepADAFQr199ZXr5+gTy9O0x82ntLftp1x23zaMKT/7C3Sa/uLdf+C0Xp4WbpC/b09UDGAwYAVQug1towBwMhR3mDV6pwyvXO4TDvPVMvZw2cPM0aF6/qsOF0/MU7JEQGSpDU5ZXroH3s1Z3SkPjQ5XtlZsYoJJgQCgL5S09yu3204qb+/n3/JU8n8vS369o0ZumfOqAGsDkBvsGUMgwqBEAAMb4U1LXr3SJneOVKqfWfrruhaH4tZa7+0WKMiXXtVtNudqm+1KTrYt48qBQC4U9nYpidXH9N/9hZ1G+RHBvroiQ9n6abJ8TKZTANbIIAeY8sYAADoV/lVzVp1uFRvHy5VTklDr+/T7nDqSHGD20DIx8tMGAQAAyA62Fc/uX2KHl46Vj9cdVSrj5a7zKlubtcX/71ff9t6Rt++MUMzRkV4oFIAnkAgBADACHc+BFp1qFRHS3sfAl1oVGSAHCxCBoBBISUyQH/6xEwdLWnQ//33iHbl17rMOVBYp9v+8L5WTorX166foOQIf1YMAcMcgRAAACNQf4RAsSG+unFygj48JUGTk0J5IQEAg0xmQoheemi+dp6u1v/9N0e5ZY0uc1YdLtXao+UaFRmgWakR+kr2eIUH+nigWgD9jUAIAIARojchkEnSpdb5hAV464aJ8frwlATNHh0hi5kQCAAGuzlpkXr7kUVanVOuH7+Tq/zqli7j7Q6n8iqalFfRpFf3F+mxa8fpUwtS5etl8VDFAPoDgRAAAMNYb0KgqCAfZWfFaeWkeL1xoEQv7insMh7gY9GKzFh9eGqCFqZHy8fL3B+lAwD6kclk0vUT47RsQoz+saNAv16Xp/pWm8s8q82pH71zTH/dckbf/UimbphI82lguCAQAgBgmLmqEGhyvOaMjuyy0ufFPYXysZh1zfhofXhqgpZPiJW/D78lBoDhwMfLrPsXjtat0xP11PqTem77GdmdrvMqm9r0uX/u1+Sk0/rp7ZM1IS5k4IsF0Kc4dh69xrHzADB4XE1PIG+LSbu+ca3bHhEOp6E3DhRreUasQv29+6pcAMAglV/VrO+8cUSb86q6nWOSdNesZH39hgkKC6C/EDAQOHYeAAB06qvG0DaHoXdzynT37BSXMYvZpFunE/gDwEiRGhWovz8wRztPV+sbrx3WqcpmlzmGpBd2F+q/B0v0+A0TdM+cUfSQA4YgAiEAAIaQ/jgdTJI2Hq9wGwgBAEamOWmRWvvYEr1+oEjfeytXdS2u/YVa2h369hs5enrrGf3ktsmakxbpgUoB9BaBEAAAg1xhTYveOlSqtw6VKKek70KgAB+LbpgYr1unJ2ouT+IBABcxm026dXqyrp8Yr6fW5elPm0/L6abhSH51i+768w7dMDFOv793Ok2ngSGCQAgAgEGotL5Vqw6V6s1DpTpYWNeja8wmuX2ifvGchWOjdeu0RK3IilWAD08FAACXFuDjpa/dkKF75ozSN1873G1/obVHy/Wnzad1/4LRnEAJDAE8CwQAYJCoaLTqncNleutQiXbn1/bomqggH10/MU4fmhSv946W62/b8t3Oy4gP0a3TEvWRqQmKCfHrw6oBACNFckSA/v7AHG3Jq9TXXjmkkjprl3G709CP3zmm/+wp1Pdvnqj5Y6I8VCmAniAQAgDAg2qa2/XOkVK9dbBUO89UX3aFj9Q1BLrwiPgQP+8ugVBsiK9unpqoW6YncjwwAKDPLBobrU1fWapntp7Rz9eeUNtF59SfqmzWPX/ZqZunJuibKzMVHezroUoBXAqBEAAAA6y+xabVR8v01qFSbTtZJUcPUiCL2SSH05DJJL35+YWKD/N3mZOVEKKpyWFKiwrUrdOTNG9MJKe+AAD6hbfFrE8vGaNbpifpB6ty9MaBUpc5rx8o0bpjFVo2PlpTU8L1iXmp/FwCBhGTYRg9+F0k4KqoqEjJycmSpMLCQiUlcSwxAHSn0WrTe7nleutgqTbnVcrmuPyPXy+zSU7DcFk19K2VGXpwUZrbawzDoJknAGDAHSis03feOKJDRfXdzhkTHaif3zlVU5PDBq4wYJjoj9ffrBACAKCftLTbtS63Qm8dKtGG45Vqv2hJvTveZpO8LGa12hyyd7Ny6NV9xd0GQoRBAABPmJocptc+t0D/2nVWP333mBqtdpc5pyqbdfPvtumOGUn61spMhQZ4e6BSAOcRCAEA0IesNoc2Hq/UW4dKtC63Qq02x2Wv8baYFOznrZrmdtmchmzO7q+JCvLVgvRI2RxOeVs4wQUAMHhYzCZ9fO4oXZ8Vpx+9natX9xe7nfefvUV650iZ/u/DmbptehK/zAA8hC1j6DW2jAFAh3a7U1vyKvXWoVKtPVqupjbX34pezMtiUmywr6qa2l2acbrMNZu0PCNGd8xI1pLx0QRBAIAh4f1T1fryfw6quK612zmTk0L1y7umakx00ABWBgw9bBkDAGCQsDuc2n6qWm8eLNHqnDI1uFkafzFvi0mLxkbrxsnxyilp0NNbz1xy/oS4YN0xM1k3T01QZBAntAAAhpZ5YyK14cvX6E+bT+nX7+W53Qp9qKheK36xWQ8vG6PPLx0rHy9+6QEMFAIhAAB6yOE0tPNMtd46VKp3j5Spprn9stdYzCbNHxOpmyYnKDsrrrNfwtTkJreBUKi/t26emqA7ZiYrKyGEZfQAgCHNx8usLywbq5unJurrrx7WtpNVLnMchqHfrDup1/YV61cfnaYZo8I9UCkw8hAIAQBwCQ6nod35NVp1qFTvHClVVdPlQyBJmpQYokAfL337xkxlJYa6jKdFB2nGqHDtLaiV2SQtHhetO2Yk69rMGPl6Wfr6ywAAwKOSIwL0zwfnaO3Rcn3tlUNuf6lSWNuq2/6wXR+dlaxvrsxQsB9Np4H+RCAEAMBFnE5DewpqtepQid4+UqbKxrYeXTclKVRxoX46Vdmsw8UNkqQNxyvcBkKS9D+LRmvZhBjdNj1JcaF+fVY/AACD1XWZsVqQvlRPrjmuZ7bmy11D2xd2F+p4WaNee3jBgNcHjCQ0lUav0VQawHDidBrad7ZWbx0q1duHS1XRwxBoclKoJsQFq7yhTdtPVcnm6PpjdVRkgDZ++Rq2fgEAcJGckno98sIBnaxocjuenRWr731komJD+KUJQFNpeFRWVlaXj202m4cqAYC+4XQa2l9Yp1XnQqCyBmuPrpuYGKLZoyPU0ubQe7kVOlRU3+3cguoW7TpTozlpkX1VNgAAw0JWQqjefWSR/rb1jH66+rhL0+nVOeXafrJaX7thgu6ZnSKzmV+uAH2JQAgAMKIYhqEDF4RAJfU9C4Ey40N0bWaMvM1mrTtWob9tzb/sNYlh/rptRpJGRQZeZdUAAAxPXhazPr1kjG6YFK//femgduXXdBlvbLPrW68f0RsHivWjWycpNTJQXhZOIgP6AlvG0GtsGQMwVBiGoUNF9Vp1uFSrDpWquK61R9dNiAvWjZPjNTU5TK8fKNGqQ6VqtTkueY2vl1k3TIzTHTOTNS8tkt9mAgDQQ4Zh6L8HS/TdN4+6bTrtbTYpLMBHH5ubos8tTZc3wRBGELaMAQDQQ4Zh6Ehxg9463BHkFNX2LAQaFxuklZMStHJynNJjgiVJhTUtenlv0SWvm5YSpjtmJOvGKfEK4VQUAACumMlk0kemJmrx2Gj9YFWuXtnX9WevzWmosqlNv3wvT/89WKKn7p6uzIQQD1ULDH0EQgCAYcMwDOWUNHSuBDpb09Kj68ZEB+rGyQlaOTle42KDXcaTIwK0MD1KW09WdXk8OthXt05P1B0zkjrDIwAAcHXCA3308zun6JZpifrGa4fd/jw/VdmsG5/aooeWjNGj146TjxerhYArRSAEABjSDMNQbmmjVp1bCZRf3bMQKC0qUDdOjtfKyQkK8DHrP3uL9f6pareBkCTdOStZW09WyWI2afmEGN01K1lLxkXTxwAAgH6ycGyUVj+6WL9ad0J/3nxaFzc7cRrS7zee0luHSvTbe6ZrclKYR+oEhip6CKHX6CEEwFMMw9Dx8katOtSxEuh0VXOPrkuNDOhcCTQ6KkDv5Vboxd2F2nqySoYhJYT6acvXlsnipu+P1ebQ8+8X6CPTEhQTzPG3AAAMpCPF9frCv/frTDc/802SHlg4Wl/OHi8/b8vAFgcMgP54/U0ghF4jEAIw0E6UN+qtQ6VadahEpyp7FgKlRAScWwkUr8z4EJ0ob9KLuwv12v4i1bbYXOY/e98sXTM+pq9LBwAAV8nmcOp3G/L0m3Un5ezmVWxCqJ+eumeaZoyKGNjigH5GU2kAwIhzsuJ8CFSqvIqmHl2THOGvlZMSdOPkeGUlhKi53aG3DpboW68f0f6zdZe89sXdhQRCAAAMQt4Wsx69drw+NClBD/9rn/LKXZ8XlNRbddsf3tcn5o3S4zdkyN+H1UJAdwiEAACDyvnG0GuPluvdI2U6Xt7Yo+sSw/w7VwJNSgyVJO07W6evv3JYbx4qUUv7pY+LD/bz0i3TEnXnzOSr/hoAAED/GRcbrHe+uEh/2XJaT645IYeb5UJ/f79A7x4p02/unqa5aZEeqBIY/AiEAAAeZ3c4tSu/RmtyyrX2aLmK63p2RHxCqJ8+NKkjBJqaHCaTqaP3zzPbzuhfO8/2aEXR3LQI3TUrWTdMjKfnAAAAQ4SXxazPXpOu7Kw4feFf+5VT2uAyp6KxTR/98w7948E5Wpge5YEqgcGNQAgA4BEt7XZtPlGlNUfLtP5Yherc9PNxJy7kgxBoWnKYzG4aQG8+UXnJMCg62Fe3z0jSnTOTNToqsNdfAwAA8Ky06CC9+YWFembbGf3onWOyu1kt9KUX9+tHt07W8oxYD1QIDF4EQgCAAVPd1KZ1uRVac7RcW/Iq1WZ39ui6mGBffWhSvG6cHK/pKeFuQ6AL3TUrRRuOV3Z5zGI2aen4aN01K0XXjI+WN8fFAwAwLJjNJj2wKE3XZcbpi//erwNFdV3GKxrb9cBze3Tb9CR956ZMhfp7e6ZQYJAhEAIA9Kuz1S1ac7RMa3LKtaegpttTQS6WHOGvFZlxys6K08xRH4RA7Xan3ssp0ztHyvSLO6e4DXaWZ8QoKshHVU3tGhUZoDtnJuv2GUmKDeG4eAAAhquUyAC99vB8/XPnWX3vzaNqd3T9xdMr+4q07WSVfnL7ZC0ZF+2hKoHBg0AIANCnzjeFXpNTpjVHy3WsrGdNoSVpYmKIVmTGaUVWrMbHBnf2BJKkvPJGvbi7UK/uL1ZNc7sk6abJ8VqRFedyH2+LWd+5KUtRQT6aOzrysiuKAADA8GAymfSxuaO0dEKMHn/1sDaf6LpiuKzBqk/+bZeuGRetUZEBevxDGfQQxIhFIAQAuGo2h1O7ztRoTU6Z1h4tV0m9tUfXWcwmzRkdoRWZsbouK06JYf5dxpvb7Fp1qFQv7inU3oJal+tf3F3oNhCSpA9PSbjyLwQAAAwLiWH+eu6+WfrP3iJ9/82jamyzdxnfeC4oWptbrt/dM13TUsI9USbgUQRCAIBeaW6za/OJSq05Wq51ueVqsNovf5Ekf2+LrhkfresyY7VsQozCAny6jBuGoQOFdXppT6H+e6BEzZc4Ln7D8QqV1VsVF8pWMAAA0JXJZNKdM5O1MD1KX3vlkLbkVbnMKamz6tbfb9f/LErT/2aPk68Xq4UwchAIAQB6rLKxTetyO46G33KySu09bAodGeijazNitSIrVgvSo9wuza5tbtdr+4v14u5CHS+//Daz2aMjdNfMZIUF0BgSAAB0LyHMX3+/f7b+teusvv/WUVltXZ+/GJL+vOW03s0p0+/vna6JiaGeKRQYYARCAIBLyq9q7mwKvfdsrYweNoUeFRmgFZmxWpEVp+kp4bJ008fnSHG9/rjplNbklLs0f7xYVJCPbjt3XPyY6KAr/VIAAMAIZTKZdO+cUVqUHq3P/2ufDhXXu8w5W9Oim367VQ9fk65Hrh3LiaQY9giEAABdGIahw8X1WpNTrjVHy3SivKnH105OCu3oB5QZp3GxQV2aQnensrFNbx0q7XbcbJKuGR+ju2Yla9mEGJ6cAQCAXkuJDNDrDy/Q37ae0Y/fPSb7RcefGob02w0n9fbhUv3+Y9M1IS7EQ5UC/Y9ACACgdrtTO89Ua01Ox3awsoaeNYX2Mps0Ny1SK7JidW1GrBIuagrdE4vHRSsuxM/lcyZH+Ouumcm6fUYyPYIAAECfMZtNenBxmpZlxOhz/9zn9kTU01XN+tCvt+jRa8fpc9eMkRe/kMIwRCAEACNUU5tdm45Xas3RMq0/VqHGHjaFDvSx6JrxMbouM1ZLx8co9DI9fE5VNuml3YWaPTpCyzNiXcYtZpPunJmk36w/KR+LWddPjNNds5I1L43j4gEAQP9Jiw7Sqi8u0h83ndLP1xzXRYuF5DSkX6w9oVWHSvW7e6crPYbt6hheCIQAYASpaLRqXW6F1uSUadvJ6sv27DkvKshH12XGakVmnOaNiXTbFPpCre0OrTpcqpd2F2pXfo0k6Whpg9tASJLunJWs8EAf3Tw1UeGBPm7nAAAA9DWL2aSHl6brusxYfe4f+3Sy0nWr/PHyRl3/q8364S0TddesFA9UCfQPAiEAGOZOVzZpzdFyrckp0/7Cuh43hU6NDFB2VpxWZMVqanL3TaHPMwxDR4ob9MLus/rvgRI1tnVdcbT1ZJUKa1qUHBHgcm1SeIDuWzC6x18TAABAXxoXG6x3Hl2kp9bn6al1J3Xx0yW709DftuZr/pgot89lgKGIQAgAhhmrzaF9BbXacrJKa4+W62RFz5tCT0kO6zgZLDNW6TE9awpd32LT6weK9cLuQuWWNnQ7zzCk/+wt0peuG9fjegAAAAaKt8WsL103Xisy4/TwP/epoKaly/j5lUJP3JSlO2Ym9eh5EjCYEQgBwBDX2u7Q/rO12nG6WjtO1+hAYV2Pt4J5mU2aNyZSK7LidF1GbI+bNzudhnacqdaLuwv1zpEytdsv/fkiAzuOi//I1IQe3R8AAMBTJiaGas2XFuvJ1cf1ly1nuow1tzv01VcOac3Rcv34tkmKCvL1UJXA1SMQAoAhprXdoX2dAVC1DhTWyebo4T4wSUG+XloyPlorMmN1zfgYhfpfuin0haw2h57eekYv7SlUQXXLJeeaTNKScdH66KxkLZsQKx8vTucAAABDg6+XRd9cmakVWXF69MX9Kq7tehrqe7nlyv5lrf7fLRMVG+qvqclhnikUuAoEQgAwyLW2O7S34IMA6GDRlQVAkhQd7HuuKXSs5o2JlK/XpZtCd8fHYtYLu8+qsKa12zmJYf66a1aybp+R1Ktj6AEAAAaLWakRWv3oEn3/zaN6cU9hl7Hq5nZ95h/7JEl3zkzS/304SwE+vMTG0MF/rQAwyLS027WvoO6qAiCzSZqUGKp5Y6I6mkInhfXJEe5ms0l3zUzWk2tOdHnc22LSiqw4fXRWshaMieK4eAAAMGwE+XrpJ7dP1rWZsXr81UOqamp3mfPSniJtPlGl339suqanhHugSuDKEQgBgIe1tNsvWAFUo4OFdbI7excAzU2L1Ny0SM1MDVewX8+3gp3X2u7QO0dKdaS4Qd+5KdPtnNtnJOsXa0/IaUhjY4J016xk3To9SREcFw8AAIax6zJjNS1lsR5/9bDWHi13GS9rsOq232/XZ5ak6UvXjWe7PAY9AiEAGGDNbR8EQDvP9C4AsphNmpgYqrlpER0B0KjeBUDnHSmu14u7C/X6gWI1WjuOi//Y3BSlRQe5zI0L9dO3VmZqakqYpiWHccIGAAAYMaKCfPXnj8/QS3sK9Z03ctR20cEahqQ/bjqt93Ir9Id7p2tsbLBnCgV6wGQYxpW9CgHOKSoqUnJysiSpsLBQSUlJHq4IGJwuDIB2nK7WoaL6XgVA51cAzUmLuOoASJLqW23677nj4nNKXI+Lf2jJGH39hglX9TkAAACGq8KaFj38z306VFzvdtxiNunxGybo/gWj2U6Pq9Yfr78JhNBrBEKAe81tdu25IAA6fJUB0Ny0CM1MjVCQ79Uv6jQMQzvP1OjF3YV6+3Cpy2+1LhQV5Kv3H18mbwvLnQEAANxxOA39edMpPbnmhBzdvLSenhKmp+6ZrkQO28BV6I/X32wZA4Cr1NRm1578Gu04XaOdZzpWADl6EQBNTvqgB9CMUeF9EgCdV9Fo1St7i/XSnkKdqWq+5FyTSVqYHqWPzkoRv8sCAADonsVs0meXpuuaCTH67D/2Kr+6xWXOvrN1Wv7kRv3o1km6ZTq/RMfgQSCEHsvKyurysc1m81AlgGddGADtOF2tw8VXHgB5XRAAzTnXAyiwDwOg83acrtbTW89o/bGKy9aYEOqnO2Ym646ZSUoKD+jzWgAAAIarjPgQrX5ssX767jE9vTXfZdxqd+qxlw5qzdFy/fi2yQr1v7qt/0BfIBACgMtoarNrd35N5ylgR64yADq/Aqg/AqCLHSqqc3sKxnneFpOuy4zVnTOTtWhstCzsbwcAAOgVXy+Lvn1jlrKz4vW5f+51ezz9O0fKVNZg1WufW+CBCoGu6CGEXqOHEIarRqtNe/JrtePM1QVAU5LDOk8BmzEqXAE+A5/BVzW1ae7/W+fSwyg9Jkh3zUzWLdMTFRXkO+B1AQAADGeNVpu+9doRvXGwxO34Z5ak6X85mh5XgB5CANAPOgOg802gi+t1hfmPvC0mTUkK6zwFbCACILvDqS15VXp5X5E+u2SMJiaGusyJCvLVtRmxejenTP7eFt04OV4fnZ2s6SnhHBcPAADQT4L9vPXru6cpe2Kc/velg2q1ObqM/2nTaW3Nq9KvPzpV6TEcTQ/PIBACMOI0WG1degAducoAaG5apKaPChuwFUDHyxr1yr4ivba/WJWNbZKk6CBft4GQJP3P4tFaMj5aN06Ov+qj6gEAANBzH5oUr2kpYfr8v/Zpb0Fdl7Gckgbd+NRWffNDGfrY3FH8sg4Dji1j6DW2jGGoaLDatPtMjXaeuboAaGryBQFQSrj8fSz9U7Abtc3t+u/BEr28t0iHi+tdxsMDvLXzG9ey7BgAAGAQcjoNPb31jH62+rjaHU6X8WvGRys5IkCPLh+rSLbzww22jAFAD9S3nl8B1NEDKKekdwHQtORwzU2L0BwPBECSZHM4tfF4pV7ZW6R1x8plc3T/RdS22LT+WIWunxg3gBUCAACgJ8xmk/5ncZrmp0fqkRcO6GRFU5fxjccrJUn/PVCi39w9TUvGRXuiTIwwBEIAhizDMNTQaldpQ6sKqlu0+0yNdpypVk5Jg6507aOPxXxuBVBHE+hpHgiAzjta0qCX9xbpjQPFqm52PZ3iYlOSw3T79ETNTYsYgOoAAADQW1kJoXrrCwv1o7dz9dz7BS7j9a02ffJvu/TxuaP0zZUZ8vP2zPNRjAwEQgAGJcMwVNPcrtJ6q8rqrSptsKqsvrXz47J6q0rrrS4N+nrKx2LW1JTzW8AiND0l3OM/cI+XNeqxFw/oaGnDZefGhvjqlmlJun1GIo0IAQAAhhA/b4u++5GJumZCjL780kG3vwB8fkeBNudV6o8fm6GM+BAPVImRgEAIwIBzOA1VNbWdC3c+CHk+CH9aVV7f5nZ/dW/5WMyalvLBKWCDIQC6WHyYn05VNnU77utl1oqsON0+I0kL06NkMdN4EAAAYKhaOj5Gqx9brMdePKAteVUu4wXVLbrxN1v19Rsm6IGFo2XmuR/6GIEQgD5lczhV0djmPuipb1VZvVXljW1yXGlTnyvk42XWtAuaQE9LCRsUAZBhGGqzO93WEuLnreysOP33YEmXx6enhOn2GclaOTleof6cEgYAADBcRAX56u/3z9Y/dhTou28elf2i58gOw9AP387VmqNl+u090xUb4uehSjEcEQgB6LE2u0Pl9W0dwU6Da9BTWm9VZVPbFffv6QtRQT5KjwnqDICmJg+OAOi8ikar3tjfcUrY1OQw/eT2yW7n3T4jSf89WKL4UD/dOj1Rt01PUlp00ABXCwAAgIFiMpn08XmpmjcmSg/9Y49OVjS7zNmdX6tlP9+o33x0mpZnxHqgSgxHHDuPXuPY+eGlpd3epTdPR+DT2mWFT08aHPc1s0mKCfZTXKif4kMv/NO/488QP8WE+MrXa/CEP+dZbQ6ty63QK/uKtOlEZeeqqCBfL+3+5rVum1Y7nIZ2nq7WnLRItoQBAACMMO12p362+rj+suV0t3M+PneUvnVjxqB8/ov+w7HzAHql0Wq7aOuWVWUNXbd01bfaBrwuL7NJsSHdBD3nPo4O8pWXxTzgtfWWYRg6WFSvl/cW6s2DpW7/Xpva7FqdU6abpyW6jFnMJs1PjxqIUgEAADDI+HiZ9c2VGVo2IUaf/9deVTe7Ppd8fkeBtp+q0p8/MVNjWEmOq0AgBAxhhmGorsXmNuC5cCtXc3vvTuK6Gj5e5s4VPO6CnrhQP0UF+g6b5nhl9Va9tr9YL+8t1KlK12W+F9twvMJtIAQAAADMGxOp9f+7VF995ZBW55S5jJ+qbNbn/7lPbz+ySCbT8Hg+jYFHIAQMUk6noerm9g+CnW569rTZ++4krp4K8LEoPtRP8aH+rlu5QjoeCw/wHvY/nKw2h9YcLdfLe4u0Na9Sl+uTHeBj0Q0T43X7jCTNGR0xMEUCAABgSAoN8NYfPzZd/9lTqG++fkQ2R9cnm7lljfrM83v109snKyzAx0NVYigjEAI8wOE0VNnY1rVHT2fg07HSp7zB6vJNfyCE+Hm5D3ouWOET7Os17MOey3E4DS17cqNK6q2XnTsvLVK3zUjSDRPjFOjLt10AAAD0jMlk0p2zUjQjNUKf/vsel5Xoa46W6/Cvt+hXd03VnLRID1WJoYpXJkAfa7c7VdF48datrlu6Kgbg2HV3IgJ9LtjC5Rr0xIX4EVj0kMVs0qKx0XpxT6Hb8ZSIAN0+I0m3TEtUckTAAFcHAACA4WRMdJDefmSRfvhWrv6+o6DLWGm9VXf/ZYe+sGysvrAsfUj134Rn8coPuAJWm0PlDRcFPedW9Jxf4VPlgWPXTSYpOsi3M9Rx17MnNsRvUB3DPhS0tNt1pLhBs7vZ3nX7zKQugVCQr5dWTorXbTOSNCs1fMSvogIAAEDf8fWy6Hs3T9Q1E6L15f8cUs0FJwA7DenX6/K05USlYkP99N0PZykmxM+D1WIoIBACzmlus7v26GmwqvyCLV01Hjh23WI2KTbY91yw434rV0ywr7z5TUCfMAxDu87U6OW9RXr7cKnsTkO7vnmtQv29XebOHBWu0VGBSgzz1+0zkpSdFef2KHkAAACgryybEKt3Hlmkx148oO2nqruM7SuskwqlrXlV+s0907R0fIxnisSQQCCEEaO8warc0oauW7kaPljh02i1D3hN3hZTR7AT0n3PnqggX1mGyUlcg1lhTYte2VekV/cV62xNS5exVYdKdc+cFJdrTCaT3nlkESuvAAAAMKBiQ/z0/ANz9MdNp/SLtSdc2lE0ttl13zO79an5qfrGhzLk48Uvj+GKQAgjxluHSvX9t44O2Ofz8zZ3rOi5RM+eiACfYXPs+lDU3GbX24dL9fLeIu08U9PtvFf2FbkNhCQRBgEAAMAjLGaTHl6arnljIvWFf+1TcZ3rYSfPbs/XjtPV+ssnZtLXEi4IhDBixIf23R7aYF+vjn49l+jZE+o//I9dH4qcTkM7Tlfr5X1FeudwmVptjkvON5s6egNZbQ7CHwAAAAw601PC9fYji/Xl/xzU2qPlLuPHyhq14peb9Zu7p+m6zFgPVIjBikAII0ZcDwOhsADvbkOe882Zg/1c+8lgcCuobtYre4v0yr5iFde1XnZ+ekxQ5ylhsTTkAwAAwCAW6u+tP398hl7cfVbffj1Htou2kLXaHPqfv+/RfQs6tpDRfxQSgRBGkI5+PD7nVvX4X7SNy69zexdNgYenZ7bl69nt+ZecE+rvrQ9PSdDtM5I0OSmUFV4AAAAYMkwmkz46e5Rmpkbowef2KL+6xWXOM9s6tpD99ZOzlBjm74EqMZiYDGOgD8jGcFFUVKTk5GRJUmFhoZKSkjxcEdC9I8X1uvGprS6PW8wmLRkXrdtnJGl5Rox8vQgEAQAAMLRZbQ596/UjenlvkdvxAB+Lnrp7mpZnsIVsqOiP19+sEAIwLJyqbNIre4t034LRig72dRnPSgjRhLhgHStrlCSNjw3W7TOS9JFpCYoJZksYAAAAhg8/b4uevGOKFoyJ1FdfOSSbo+s6kJZ2hx54bo/uX5Cqx9lCNmIRCAEYkgzD0PHyRq0+Uq7VOWU6WtogSYoI9NGDi9Jc5ptMJn1qfqqOlTXq9hlJykoIYUsYAAAAhrVbpidpUlKYHnh2twpqXLeQ/W1bvsxmk761MtMD1cHTCIQADBlOp6H9hbVandMRAhW42Rf9yr5it4GQJH10tvuj4wEAAIDhKj0mSO8+uljfePWwXjtQ7DL+rx0FmpIUppumJHigOngSgRCAQa3d7tT7p6u1OqdMa4+Wq7Kx7ZLzc0sblFNSr6yE0AGqEAAAABjc/H0s+uVHp2pBeqQef/Vwl1PIWmxOfeHf+7XjdLW+fWOm/LzpqTlSEAgBGHSa2+zadKJSq3PKtP5YhRqt9h5dFxnoo5unJSrU37ufKwQAAACGnttnJmtqSpjuf3a3zta0dhn7586zOlRUrz98bLqSwgM8VCEGEoEQgEHn5b1FeuK/OT2amxDqpxVZccrOitOs1HB50RAPAAAA6FZ6TLDefXSxvvNGjsspZIfPncz7xE1ZGh0VqKnJYZ4pEgOCQAjAoLMiK/aSgdDYmCBlnwuBJibSHBoAAAC4EgE+XnryjimaMzpC337jiKw2Z+dYXYtNj714QGaT9N0PZ+ljc0fxfHuYIhACMKBOVjR2NoV+4qYszRgV7jInPtRfU5JCdbCovvOxqclh50KgWKVFBw1kyQAAAMCwdMfMZE1OCtNn/7FXp6uau4w5Denbb+RoV36NfnrbFPn70FtouCEQAtCvnE5Dh4rrtTqnTKtzynS68oMfNGtyytwGQpK0cnK8gv28lZ0Vq+sy4xQX6jdQJQMAAAAjxvi4YL3x+QX68n8OanVOucv4mwdLlVPcoGfum6VRkYEeqBD9xWQYhnH5aYCroqIiJScnS5IKCwuVlJTk4YowWNgcTu06U6PVOWVak1Ousgar23mpkQHa8OVrWIIKAAAAeJhhGPrDxlP66erjbsf9vS363b3TtGxC7ABXBql/Xn+zQghAn2htd2hzXsfJYOtyK1TfarvsNfnVLTpR3qTxccEDUCEAAACA7phMJn1uabqmJofp08/vVVNb15N+W20O3f/sHj18zRh9acV4Wcz8UneoIxACcFXeP1WtZ7ef0aYTlV2a0V1KXIifVmTFKjsrTmnRLDsFAAAABov56VFa89hi3f/sbh0ra3QZ/93GU9pTUKs/fXyGwgJ8PFAh+gqBEICrUlLX6nav8cXSogM7TwabnBgqM79RAAAAAAalhDB/vfH5BXrijRy9sLvQZXznmRpl/2qznn9gjsbFstp/qCIQAnBZpyublBQeIB8vs8vY8owYWcwmOZyu7cgmJ4V2ngyWHsMPCgAAAGCo8PWy6Me3TdbMUeH62quHXZ7vlze06cantuqpu6cpOyvOQ1XiahAIAXBhGIaOFDd0ngyWV9Gk5+6frSXjol3mhgX4aG5ahLadrJbZJM0ZHansrFityIpTQpi/B6oHAAAA0Fdun5msjIQQ3ffMblU0tnUZa7c79Znn9+qLy9L16LXj2AUwxBAIAZAk2R1O7c6v1eqcMq09Wq7iutYu46tzytwGQpL04MI0fWRqoq7NiFVEIPuIAQAAgOEkKyFUax9boof+sUfvn65xGX9mW77unp2ieH4hPKRw7Dx6jWPnhz6rzaGteVVanVOm93LLVdvS/clg0cG+2vn4clJ/AAAAYIRyOA395J1c/XnLGZex+FA//fnjMzUpKdQDlQ1/HDsP4Ko1WG3acKxCq3PKtPF4pVraHT2+triuVckRAf1YHQAAAIDBymI26RsrM5WVGKr/femg7Bf0FSqtt+r2P27XT2+frI9MTfRglegpAiFgBPnz5lP62erjsjl6tjBwVGRAZ1PoacnhrA4CAAAAoI9MTdSY6CA9+NwelTVYOx9vszv1yAsHdLSkQV+9foIsvH4Y1AiEgBEkJSLwsmFQZnxIRwg0MVbjY4NlMvFNHAAAAEBXExNDteqLC/XZf+7TrjNd+wr9afNp5ZQ0aGpKmB5ZPlbeFtfTiuF5BELAMGEYhnJLG7XmaJn+Z1GaAn1d/3kvGRctP2+zrDZn52MmkzRrVIRWZMUqOyuOLWEAAAAAeiQyyFf/fHCOvvfmUT2/o6DL2NaTVdp6skrbT1bpb5+apbAADp8ZbAiEgCHM4TS072ytVh8p0+qjZSqs6TgZbFxssD40Kd5lvr+PRYvHRmvj8UotSI9Udlacrs2MVVSQ70CXDgAAAGAY8LaY9f2bJyozIUTfeeOIy46EfWfrdMOvt+ifD85RWnSQh6qEOwRCwBDTZndo+6lqrTl3PHxVU7vLnNU5ZW4DIUn6zk2Z+vmd3gr28+7vUgEAAACMEHfPTtHYmCD9z9/3uJxeXFpv1crfbNXTn5qp+WOiPFQhLkYghB7Lysrq8rHN1v0R5ehbTW12bTxeodU55dpwrEJNbfZLzl9/rELtdqd8vFz36iaFsyUMAAAAQN+bmRqhN7+wUPf+ZacKalq6jLXaHPrYX3fqhzdP0t1zUjxUIS5EIAQMUtVNbXovt1yrc8q19WSV2u3Oy18kKSncX9lZcWptd7gNhAAAAACgvySFB2jVI4v06b/v0fZT1V3GnIb0+GuHdaK8Ud+6MZNTyDyMQAg9lpOT0+XjoqIiJScne6ia4e9X7+W5NGbrzoS4YK04dzx8ZnwIJ4MBAAAA8JggXy89/8AcfffNHP39fdfXNM9sz9fJyib98WMz3B6Gg4HB3zwwSGVnxXUbCJlM0vSUcGVnxWpFZpxSowIHuDoAAAAA6J7FbNL3PjJRY2OD9J3Xc2RcNL4lr0of/u1W/ft/5iomxM8jNY50BELAAHM6DR0oqtPqnDKty63QS5+Zp4hA1yMY56RFKNTfW/WtHb2avMwmzRvTcTLYisxYvmkCAAAAGPQ+PjdVoyOD9OBzu2W9qA3Gqcpm3fDrLXrh03M1NjbYQxWOXARCwACwOZzacbpaq8+dDFbe0NY59l5uue6c6br1ztti1k1T4lXd1K7srDgtnRCjUH9OBgMAAAAwtCwcG6W3vrhI9/51R5fXQpJU3dyum367Vc98arbmjYn0UIUjE4EQ0E9a2x3adKLy3EqgcjVY3Z8MtianzG0gJEk/uHlSf5YIAAAAAAMiPSZI7z6yWJ96ZpcOFtV3GbPanHr4n/u065vL5WXhYJyBQiAE9KG6lnaty63Q6pwybc6rlNV2+ZPBNudVqbnNTjM1AAAAAMNaeKCPXnponh55Yb/ePVLeZaympV1fefmQfnLbZE5LHiC8AgX6wJsHS/TC7rPacbpGDufF7dLcS48JUnZWrLKz4hTgY+nnCgEAAADA83y9LPr9PTP0o3dy9ZctZ7qMvba/WGX1Vv3x4zNolzEACISAPnC0tEHbTlZfdt6U5LDOEGhMdNAAVAYAAAAAg4vZbNI3V2YqJTLA5QSy909X644/btcz981WYpi/x2ocCQiEgB4wDEMnyps0Ps595/vsrDj9YeMpl8ctZpPmjI7oOBksK1bxoXxDAwAAAACp4wSypLAAPfyvfWppd3Q+fqK8Sbf8bpue/tRMpUQEslqonxAIAd2wO5zalV+jNTnlWpNTppJ6q7Z+bamSwgNc5k5ODFVciJ/KGqzy9TJr8bhoZWfFafmEGIW7OVIeAAAAACAtnRCjFz89T/c/t1uVjR+cQFbR2KZbf79d0UG+eumheW5fh+HqEAgBF7DaHNqSV9V5Mlhti63L+Jqcct2/cLTLdWazSV/JHq9AX4sWj4tWgA//tAAAAACgJyYlherVz87Xfc/u1smKps7HbQ5DJfVW3fjUVr30mXkaF+t+xwZ6h1etGPHqW23acKzjZLBNJyq7LFW82OqcMreBkCTdNiOpv0oEAAAAgGEtOSJArzw0X59+fo92nqnpMlbXYtNHfrtN/3hwtmaMivBQhcMPgRBGpIoGq9YcLdfqnDLtOF0tm6NnJ4NVNrWpze6QrxenggEAAABAXwoN8NZz98/WQ8/v1cYTlV3GWm0O3fWnHfrTx2doeUashyocXgiEMOI8/uohvbC7UEbPMiBlJYQoOytO2VlxGhcbJJPJ1L8FAgAAAMAI5edt0dOfmqWvvHxQr+4r7jJmdxp68Lk9+tntk3X7zGQPVTh8EAhhxEkKD7hkGGQ2STNTz50Mlhmr5AialwEAAADAQLGYTfr5HVMUG+yrP2w63WXMkPTllw+psqldn71mjGcKHCYIhDDiZGfF6merj3d5zMdi1sKxUcrOitW1GbGKDPL1UHUAAAAAAJPJpK/dkKHoYD99762jLuM/efeYKhqt+s6Nmezi6CUCIYw46THBSosOVEVDm5ZOiFF2VqyuGR+jIF/+OQAAAADAYHL/wtGKDPLRYy8ekPOinR7PbMtXXYtNT94xRRYzodCV4hUwRqSnPzlLCWF+NIcGAAAAgEHuI1MTFRHoo/uf3e1yINBr+4vV3GbX7+6dLm+L2UMVDk38bWFEGh0VSBgEAAAAAEPEorHRevmh+QrwcX0dt+Zoue5/dresNocHKhu6CIQAAAAAAMCgNyU5TG9+YaEiAnxcxrbkVWldbrkHqhq6CIQAAAAAAMCQMCY6SG9+caFig10PAnriv0eVW9rggaqGJgIhAAAAAAAwZCSG+evNLy5Ucrh/l8ermtr00T/v0IHCOs8UNsQQCAEAAAAAgCElJthP//38QmUmBHd5vL7Vpnv/skM7Tld7qLKhg0AIAAAAAAAMOeGBPnrx0/M0OzWiy+PN7Q598m+7tOF4hdrtTg9VN/gRCAEAAAAAgCEp2M9bz90/W4vHRXd5vM3u1IPP7daCn6zX2eoWD1U3uBEIAQAAAACAIcvfx6K/fGKGsrNiuzzucEqVjW368O+2Kr+q2UPVDV4EQgAAAAAAYEjz9bLod/dM163TEl3G6lps+sjvtul0ZZMHKhu8CIQAAAAAAMCQ52Ux68k7pujW6a6hUH1rRyh0soJQ6DwCIQAAAAAAMCyYzSb9/I4pumtmkstYo9Wum3+3TSfKGz1Q2eBDIAQAAAAAAIYNk8mkH982WffMSXYZa2qz65bfb9OxsgYPVDa4EAgBAAAAAIBhxWQy6Yc3T9In549yGWtuc+jW329XTkm9ByobPAiEAAAAAADAsGMymfR/N2XpgYWjXcZa2h26/9ndcjoND1Q2OBAIAQAAAACAYclkMulbKzP0mcVpLmPlDW3627YzHqhqcCAQAgAAAAAAw5bJZNLjH8rQ55emu4z9YFWu1uWWe6AqzyMQAgAAAAAAw96Xs8frkeVdQ6GbpiRoybhoD1XkWQRCAAAAAABgRHjsuvH6+g0TJEkfmhSnX945RV6WkRmNeHm6AAAAAAAAgIHy0JIxSosK1NIJMSM2DJIIhAAAAAAAwAizIivO0yV43MiNwgAAAAAAAEYoAiEAAAAAAIARhkAIAAAAAABghCEQAgAAAAAAGGEIhAAAAAAAAEYYAiEAAAAAAIARhkAIAAAAAABghCEQAgAAAAAAGGEIhAAAAAAAAEYYAiEAAAAAAIARhkAIAAAAAABghCEQAgAAAAAAGGEIhAAAAAAAAEYYAiEAAAAAAIARhkAIAAAAAABghCEQAgAAAAAAGGEIhAAAAAAAAEYYAiEAAAAAAIARhkAIAAAAAABghCEQAgAAAAAAGGG8PF0AAAAA3DMMQ+3OdjXbmtVsa1aLraXz/WZ7s1ptrbI5bWp3tHf909kum8PW+dj5j9ud7XI4HTLO/V/H/xsyDMPlMafhlCRZTBZ5mb3kZfaSt9m78/3ON5OXvC0dj/tZ/OTv5a8ArwD5e/vL3+uDtwCvgM73A70DFegdKJPJ5OG/YQAARi4CIQAAgH7U5mhTfVt917d21/eb2pvUbO8a+rTYWmQ37J7+EvqFxWRRiE+IQnxDOv48/3bu41DfUIX7hSvSL1KR/pGK9ItUuF+4vMw8fQUAoC/wExUAAOAKtDnaVN1arcrWSlW1VqmqpUpV1ipVtVapzlrXGfDUtdWpoa1BVofV0yUPSg7Dodq2WtW21fb4GpNMCvMN6wyIIv0jFe0frbjAOMUHxisuME5xgXGK8Itg9REAAJdBIAQAAEY8wzDU0N6gypbKD4IeN2+VrZVqbG/0dLkjliGjM0Q6qZPdzvMx+yg2MLYzJEoISlBycHLnW6RfJIERAGDEIxACAADDXoutRWUtZSpr7vpW2lza+f5wWMljkkkrUlfI2+wtH4uPvM3ene8XNBRo3dl1vb73Q1Mektlklt1pl81pk91pl91pV1FjkbYUb+nDr+LqtTvbVdhYqMLGQrfj/l7+SgpOUnJQspKCkzQqZJRGh47W6NDRhEUAgBGDQAgAAAxpNqdNlS2VXQKe0uZSlTeXq6yl4/36tnpPl9mFxWTRnPg5CvUJVahvqEJ8QxTsHawA7wAdqTqi106+1qv7GjL0o0U/krfZ22Vs/dn1VxUI3Zd1nwK8A1we31y0+aoCof+b938y1LFCq6GtoePP9gYVNhTqaM3RXt/3UlrtrcqrzVNebZ7LWLB3sEaHjlZqaGpnSJQWmqbk4GT6FwEAhhV+qgEAgEGvxdaioqYiFTYUdq78ONt4VoWNhSprLpPDcAx4TWaZ5ZSzV9c6Dad+v/z3spgtLmMhPiGXDIS8zF6dDZiDvIPk7+0vX4uv/L06/nQ4HW4DoazILP1k0U/kbfGWxWTpeDNbZDaZXT72MnnJbDLLbDJ31uvn5ee2nolRE/X75b+X03CqzdHW5c1qt3b86bCqzd7W+X6LrUVNtiY1tTdpZdpKt/d+r+A9PbbxsZ7+lfaZRlujDlUd0qGqQ10e97X4Ki00TWPDx2pc+DiNDRurseFjFeUfxYoiAMCQZDIMw/B0ERiaioqKlJycLEkqLCxUUlKShysCAAxl9W31HUFPw9nOwKeosUiFjYWqbK30SE2+Fl/dPeFuRflHKco/StH+0R3vB0Rpbf5a/d/7/9fre2+8c6Mi/SNdHi9sKNTWkq0K9gnuDH6CfYI7P/a1+I6IAKK6tVq5Nbmqtdaq1lqrura6jv5B5z4+/35dW53b63+w8Aeqba1VaXNpR5jYWKiixiLZnLY+rTPcN1zjI8YrIyJDGZEZyojIUEpISmeYBgBAX+iP19+sEAIAAAPCMAzVWGuU35DfGfpcuNpnMDZrbnO06QvTviAfi4/LWHxQfJePTTJ1nn4V4RehCP+ID973i+gyFu4X3u2Km+SQZN0dcne/fD1DSaR/pBYmLrzsPJvDpsrWSlW0VHT+WWOt0UfGfMRlrsPp0HNHn9Mv9/6yz+qsbavVjtId2lG6o/Mxf4t/RzgUmaGsyCxNiZ6i5ODkERHkAQCGDgIhAADQpxxOh4qbinWm/ozO1J/R6frTHe83nOnXXj5+Fr/OY8cvPII8rzZP/8j9R6/vW95cruSQZJfHJ0RM0I8X/bjz80UHRLvdqoX+5W3xVkJQghKCEi4712K2aEHCAhmGoZKmEhU3F6u4sVjFTcV9unKo1dGqfRX7tK9iX+djYT5hmhIzRVOiO94mRk1025MJAICBQiAEAAB6pcXWovyG/K6hT/0ZFTQU9Pm2nMsxm8za+tGt8vXydRnbVbrrsoGQ2WRWfGC8koKSuhxXHh8Y73ZblyRF+EVoZdrKPqkfA2d8xHiNjxjf5TGH06GyljIV1BeooLFAZxvOqqChoHPb4vkeVeG+4VqWsqyjIXVdnlrtrT3+vHXtddpUtEmbijZJ6lhRNjZsbJeQaFTIKFYRAQAGDIHQMPHss8/qvvvuu+ScZcuWad263p8uAgAYeQzDULW1WqfrPljlcz4AKmsu6/PPZ5JJXmYvOQyHnEbPGzY7DaeKm4uVFprmMpYSkiJJ8jJ5KTE4UcnByUoJTlFKSErn+4lBifK2sLpnpLKYLUoMSlRiUKLma36XMZvTpsKGQp2sOymH4dANo2+QdO6/uaZiHa85rtyaXL156k2VNpf2+HMaMnSi7oRO1J3Qf078R5IU6huqyVGTNSV6imbEztDk6MlutysCANAXCISGialTp+qJJ55wO/byyy8rJydH2dnZA1wVAGAoqWqt0onaE8qrzdPJupOdIVCjrW97+/iYfZQcnKzkkI4wJjk4WcnBySptKtV3d3y316uLChsK3QZCMQExevvWtxUfGM+x4bhi3mZvpYWlKS2s639bZpO587/da0ddK7vTrlWnV6m8pbzXn6u+rV5birdoS/EWSR3bIKfETNHsuNmaHTdbWVFZbEsEAPQZThkb5trb25WQkKD6+noVFRUpNja2z+7NKWMAMDS12Fp0qu6U8uryOra+nNv+UmOt6dPPE+gdqFCfUJlMJjXbmjtPg1p/x3pFB0S7zC9sLNSHXv1Qj+4d5humMWFjlB6WrjFhYzQ6dLQyIzMV4hPSl18CcMXqrHU6Xntcx2qO6VjNMeVU5yi/Pl+Grv4pt6/FVzPjZnYGRBkRGbKYLX1QNQBgsOOUMVyx1157TdXV1br55pv7NAwCAAx+DqdDZxvPdgY+ebV5OlF7QkWNRX3y4vS8+IB4hfuFy9viLavdqsrWStVYa9Rsa1azrdllfl5tnttAKDEoUf5e/l36sgT7BCs9LL0z+Dn/Z6RfJL1WMCiF+YVpTvwczYmf0/lYU3uTcmtydaTqiI5UHdHhqsNdtpcFeAWoxd5y2Xu3Odq0rXibthVvkyQFegVqVtwszYqbpTnxczQufBz/LgAAPUYgJKmiokK7du3Srl27tHv3bu3evVvV1dWSpE9+8pN69tlne3yvs2fP6je/+Y1WrVqls2fPytfXV+np6brzzjv1uc99TgEBA3uaxNNPPy1JevDBBwf08wIABs75Pj/nt3ud//N0/Wm1Odr65HP4WfyUGpqq0SGjFR8Yr/zGfNW01uhs41mVtpSqtKXnvVOO1hzV/MT5Lo+bTWbdP/F+BXoHdoY/0f7RvMDFkBfkE9QZ3JxX3VqtQ5WHdLDyoK5JvkaxAbE6WHlQBysPam/5Xh2rOXbZ4LbZ3qyNRRu1sWijJCnKL0pLkpdoUeIizU2Yq0DvwP78sgAAQxxbxqRLPtG8kkBo1apVuvfee1Vf7/5I3fHjx+vtt99WWpprf4P+UFBQoLS0NMXHx6ugoEAWS98uKWbLGAAMvPPbvU7Unuiy5au2rbZP7u/v5a8xoR1hTFpomsZGjNXo0I4QyGwyS+pY7TDv3/N6dX8vs5c+nvFxfWnml/qkXmC4qm+r1ztn3tEPd/6wV9dbTBbNiJmhxcmLtShxkUaHjiZcBYAhjC1jAyA5OVkZGRlas2bNFV138OBB3XnnnWppaVFQUJAef/xxLV26VK2trXrhhRf0l7/8RcePH9fKlSu1e/duBQUF9dNX8IFnnnlGTqdT9913X5+HQQCA/ldnrVNuTa5ya3J1rPqYcmtyVdBQ0Cfbvcwms1KCUzQ2fKzGho1VfGC8bE6bipuKdbjqsFYXrNa3535bCxMXulwb5BOkUSGjVNBQcMnP4Wfx07iIccqIyFBmZKYyIjKUHpbOaV5AD4T6hio7NVuGDO0u261dZbtU3+b+l47uOAyHdpXv0q7yXXpyz5NKDErUwsSFWpy0WLPiZsnfy78fqwcADAUEQpK+853vaNasWZo1a5ZiY2OVn5+v0aNHX9E9Hn30UbW0tMjLy0tr1qzRvHkf/OZ02bJlGjt2rL761a/q2LFj+sUvfqHvfOc7LveIiorq3KrWExs2bNA111zjdszpdOqZZ56RyWTS/ffff0VfCwBgYBmGofKWcuVW5+pYzbHOEKivjnWP9IvsCH7Cx2pc+DilhabJMAzl1uTqYOVBvXX6LZ1tPOtyXW5Nrm4ac5Pbe2ZEZHQJhIK8gzQhYoIyIjM6A6BRIaM41Qu4CuF+4bp7wt26e8LdchpOnao7pd1luzsDoob2hh7fq7ipWC8ef1EvHn9RvhZfzYqdpRWpK3RN8jUK9wvvx68CADBY8SxN0ne/+92run737t3auHGjJOmBBx7oEgad97//+7965plnlJubq1/96ld6/PHH5e3d9Tekd999txobe360b1xcXLdja9eu1dmzZ7V8+fIrDrcAAP3HaTh1tuHsB8HPuRCoL7Z8nd/uNS5inMaGje0MgQzD6OxV8sbJN5RTndOlcXN3cqtzux27dtS1SghKUEZkhjIjMpUUnNS5pQxA3zObzJ3/pu/JuEdOw6mTdSe1u2y3dpbu1I7SHT36dy11NKfeWrJVW0u2yiyzZsbO1HWp12l5ynK3Dd8BAMMTgVAfeP311zvfv++++9zOMZvN+sQnPqHHH39ctbW12rhxo6677rouc5566qk+q4lm0gDgeTanTafrTncJfo7VHOvRaUKX0mW7V/hYjQsbp7HhY92GMl9Y94XOhrNX6ljNMTkNp9ugJzs1W9mp2b26L4CrZzaZNS58nMaFj9O9GffK5rBpX8U+bSnaok1FmxToHagJERO0pXiLKloqur2PU87OrWU/3PlDTYmeohWjVnSGvgCA4YtAqA9s2bJFkhQYGKgZM2Z0O2/JkiWd72/dutUlEOor1dXVeuONNxQREaFbbrmlXz4HAKCrVnurTtSe6LLtK682Tzan7aru62vx1bjwcZoQMUETIiYoMzJT6WHp8vPykyRVtVapurVaKSEpbq+PDYzt8efy9/JXVmSWpkRP0ZToKZoUPYlVP8AQ4W3x7jzu/suzvqw2R5t8Lb4yDEMnak9oS/EWbSnaooOVB+UwHN3e5/xJZz/b8zNNiJig7NRsrRi1otvvMQCAoYtAqA/k5nYsqU9PT5eXV/d/pRMmTHC5pj88//zzam9v18c+9jH5+vr2+j5FRUWXHC8t7fkRwwAwnNS31Xeu9jm/+ie/IV9Ow3lV9z3fh+d88DMhYoJGh47u7MNjd9p1vOa4Xsl7RQcrD+pQ5SEVNxVrQsQE/eem/7i95+ToyXrx+Itux1KCUzQleoomR0/WlOgpGhs+lp4/wDDha+l4DmgymTQ+YrzGR4zXg5MeVE1rja5/9foebS87/33u1/t+rczITH14zIeVnZqtKP+o/i4fADAAeNZ3laxWq6qqqiTpsse+hYeHKzAwUM3NzSosLOy3mvpqu9j5I+0AYCSrs9bpaPVRHa052vFn9VEVNxVf9X0j/SI1IXKCMiM6gp+MiAwlBid2WZFjd9qVW52r3eUdTWT3V+xXs63Z5V4nak+oxdaiAO8Al7Ep0VMkdaz+mRQ1qTMAmhw9WRF+EVf9dQAYWiL8I/TijS9q3dl1Wp2/WsdqjvXouvPf/36666ealzBPK9NWannKcrffdwAAQwOB0FW6sAl0T46SPx8INTU19Us9u3bt0pEjRzR79mxNmjSpXz4HAAxX1a3Vyq3J7Xzhk1udq5Lmkqu+b2JQojIiMrqcwuWucavNadORqiMdpwiV79b+8v096jfkNJw6UnVEs+Nnu4ylBKfo5Zte1piwMaz+ASBJGh06Wg9OelAPTnpQJU0leq/gPa0tWKuDlQdlyLjktU45ta1km7aVbJOfxU9LU5bqxrQbNS9hnrzN3pe8FgAwuPDM8CpZrdbO9318fC47//wWrtbWnp0CcaVmz54tw7j0D/KeutwqptLSUs2e7friAwCGgqrWKh2tPqqc6hzlVneEQOUt5Vd1T7PJrNEhozUhsmPFT0ZEhsZHjFeob+hlr91esl2PbXisVw2nA7wCuq39/HYRAHAnIShBn8j6hD6R9QlVtlRqQ+EGrclfo93luy+7DdbqsOqdM+/onTPvKNw3XNmp2bo5/WZlRmbKZDIN0FcAAOgtAqGr5Ofn1/l+e3v7Zee3tbVJkvz9/futpr5yuS1wADAUGIahipaKLit/jlYfVWVr5VXd19vsrbHhYzuDnwmREzQufJz8vbr//m5z2mSSye1KndSQ1B6HQakhqV16/6SHpctitvT6awEASYoOiNad4+/UnePvVJ21ThuLNuqdM+9oR+kOOQ2nTDJ1u4Kotq1WLxx/QS8cf0FpoWm6c/ydujHtxh4F4gAAzyAQukrBwcGd7/dkG1hzc0fvh55sLwMAXBnDMFTeUq6c6pzOLV9Hq4+q2lp9Vff1tfhqfPh4ZURmKCsySxmRGRoTOkbelktvj7A5bMqpztHust3aU75H+yv26zfLfqO58XNd5iYEJSgxKNFtf6IxoWM0M26mZsXN0ozYGTR0BdDvwvzCdHP6zbo5/WZVt1ZrTcEaOZwOhfuFa9XpVdpesr3b08pO15/Wj3f9WE/uflLLU5brtnG3aU78HE4tBIBBhkDoKvn5+SkqKkpVVVWXPZWrtra2MxCiYTMAXB3DMFTSXNIZ+hytPqrcmlzVWGuu6r7+Xv6d4U9mZKYyIzOVFprWo/47NodNR6o7egDtKdujA5UHXE7y2V22220gJEmz4map+GSx0sPSNTN2pmbGzSQAAuBxkf6RunvC3Z0fr0xbqRprjVbnr9Zbp9/SocpDbq+zG3atLlit1QWrFRsQq9vG3aZb0m9RXGDcQJUOALgEAqE+kJGRoS1btujkyZOy2+3dHj1/7NixLtcAAHrGMAwVNRV1afacW5Orura6q7qvv5e/MiI+CH4yIjI0OnR0j7dftTvaO5tA7ynfowMVB2R1WC95zZ6yPd2OfXbKZ/Xo9EcV6R95RV8HAAy0CL8I3T3hbt094W7tL9+vT7z7iUvOL28p1+8P/F6/P/B7zY2fq3sz7tWixEVsdwUADyIQ6gMLFy7Uli1b1NzcrL1792rOnDlu523atKnz/QULFgxUeQAwpNicNuXX5+t47XGdqDnReeR7Y3vj5S++hEDvwM7w5/zqn1HBo3r1YuSfuf/UhrMbdLDy4GUDoIsdrjqsNkebfC2+LmMJQQlXXAsAeNrk6Mn6y4q/6LW817S2YK1sTtsl5+8o3aEdpTsU7R+tezLu0a1jb1WEX8QAVQsAOI9AqA/cfPPN+tGPfiRJeuaZZ9wGQk6nU3//+98lSWFhYVq6dOmA1ggAg1Gdta4j+Kk9oeM1HX+erDt52RcTlxPsHdxly1dmZKaSg5P7rH/F/or92lm2s8fzx4aP1azYWZ1bwNyFQQAwVFnMFs2Nn6u58XP1zfZv6p3T7+jlEy/rWO2xS15X2VqpX+/7tX67/7e6fvT1+uj4j2pK9BROKAOAAUIg1Admz56tRYsWacuWLXr66af1yU9+UvPmzesy5+c//7lyc3MlSY888oi8vS/diBQAhhOH06GCxgKdqDmh47XHdbzmuI7XHldFS8VV3zvEJ+SDLV+RGcqKyFJScFKvX1C02Fq0p3yPyprLdOf4O93OWZCwQKvzV3d7j3Hh4zQrbpZmxnYEQOF+4b2qBQCGmhCfEN014S7dNeEuHa85rtdOvqb/nvyvGm3dr/J0GA6tOr1Kq06v0oSICfro+I/qhtE3KMA7YAArB4CRx2QYhvuzI0eQrVu36uTJk50fV1VV6Stf+Yqkjq1dDz74YJf5n/rUp1zusX//fi1YsECtra0KCgrSN77xDS1dulStra164YUX9Oc//1mSNG7cOO3Zs6fL6WRDVVFRUWdz7MLCQo6pByBJamhv6Ax+zq/8OVl3Um2Otqu+d5hvWJdVPxkRGUoMSryq3yY7DaeO1RzT9pLter/kfe2r2Ce70y5/L39t/ehW+Vh8XK4pay7TdS9fJ0kyyeQSAIX5hfW6HgAYbtod7dpYuFEvn3hZO0p3dHt0/YWCvYN1+7jbdU/GPTShBgD1z+tvAiF1BDzPPfdcj+d391f25ptv6mMf+5gaGhrcjo8bN06rVq1Senp6r+ocbAiEgJHNaThV2FjYudXrfM+fkuaSPrl/bECsxkeM1/jw8cqKzFJmZKbiAuP6ZCtBZUultpds1/aS7dpRuqPbk8n+uuKvmhPvvi/cnw/9Welh6ZoRO0OhvqFXXRMAjATFTcV6+cTLeun4S2pob5DFZOn2+HqpI3S/NuVa3TfxPk2KnjSAlQLA4NIfr7/ZMtaHbrrpJh06dEi//vWvtWrVKhUVFcnHx0fp6em644479PnPf14BASx9BTD0NNualVeb17nV63jtceXV5rkcqd4bPmYfjQkb0xn+jI8Yr3Hh4/o0ZLHardpXsU/bi7dre+l25dXm9ei67SXbuw2EPj35031WHwCMFIlBiXpk+iP67JTP6r2C9zQxaqLeO/ueXjr+koqbil3mGzK09uxarT27VlmRWXpg0gNalryM08kAoA+wQgg9lpWV1eVjm82mvLyOF1WsEAKGB8MwVNxU3Lna53y/n6Kmoj65f7R/tMZFjOsIfsI7gp/U0FR5mfvn9xP1bfX62uavaU/5nivasuZl8tKUmCm6Of1m3Zx+c7/UBgD4gMPp0LaSbXrh2AvaWrz1ktvKov2jdd/E+3RL+i0K8gkawCoBwHPYMgaPIhAChpcWW4tO1p3sDH3yavN0ovaEmmxNV31vL7OX0kLTuqz4GR8xfsCPFXYaTi17aZmqrdWXnTsqZJTmxc/TgsQFmhU3S4HegQNQIQDgYgUNBXp43cMqaCi45Dw/i5/uybhHH8/8uKL8owaoOgDwDAIhDCr0EAKGBsMwVNZc1tnn53zPn4KGgh419rycCL+IjsDngvAnLTRN3pb+PU3R5rDpQOUBbS/ZrvSwdK1MW+l23uNbHtdbp99yeTzYO1hz4udoXsI8zU+Yr6RgvocBwGCxs3Snnj78tN4vff+ycy0mi25Ov1kPTHpAycHJA1AdAAw8eggBALrVYmtRcVOxipuKVdRYpMLGQp2oPaETtSfU0O6+2f2VsJgsGh06unO1z/kAKNIvsk8aPV+OYRgqaCjoPA1sV9kutdhbJEnz4ud1GwjNT5ivt06/JbPJrIlRE7UgYYHmJ8zXxKiJ/bZVDQBwdebEz9Gc+Dk6U39Gzx99Xq+ffF02p83tXIfh0Ct5r+jVvFe1PGW5HprykMZHjB/gigFg6GGFEHqNFULAwLI77SpvKVdRY1Fn6FPUVKTixmIVNRV1e1JWb4T6hnb2+DkfAI0JGyNfi2+ffY6eaGhv0K7SXdpWsk3vl7zvtuGo1NGYetvd2+Tn5ecyVmet0+7y3ZodN5vTwABgiKpvq9fLJ17W34/+vUc/7xYmLtQDEx/QjNgZA/JLCwDob2wZw6BCIAT0LcMwVNtW2xnwXBz6lDWXyW7Y+/Rzmk1mjQoZ5bLlKzYg1iNPoA3D0On609pUtEmbizbrQMWBSx5HfKE/XfsnzU+c388VAgA8yea0aV3BOv3p0J90su7kZedPj5muh6Y8pLnxcwmGAAxpbBkDgCGu1d6q4sZz27qaij5Y7XMu9Dm/Bao/BHsHa2z42C7bvcaEjZG/l3+/fc4rsb14u76343vdrgLqTkZEhuYnzFdCUEI/VQYAGCy8zd66fvT1yk7N1q6yXfrDwT9ob/nebufvq9inT6/9tKZET9FDUx7SgoQFBEMAcA6BEAD0IYfT0XVb14WhT2NRj067ulpR/lFKCkpSYnCiRoWM6gx/EgITBvWT4Ej/yB6FQdH+0Z2NoOfGz1Wkf+QAVAcAGExMJlNnn6Hc6lz96dCftP7sevlYfNTmaHOZf7DyoD773mc1JnSMHpvxmBYnLR7UPxMBYCAQCAHAFTAMQ3VtdW7DnuKmYpU2lfb5tq6LBXgFKCk4SYlBiZ1/JgcnKzEoUQlBCYNmxc+FnIZTR6uPalPRJt2UdpNSQlJc5pzfqlbeUt7lcR+zj2bEztCCxAWalzBPY8PG8iQeANApIzJDv1r6KxU2FspsMmtT4SY9k/OMyprLXOaeqj+lz6//vFJDUvXojEe1LHkZP1MAjFgEQgBwEavd2uW0rgsbNxc3FavZ1tyvn9/L5KW4wLguoU9SUFLnx2G+YUPiyWuzrVnvl7yvTUWbtKVoS+fqqACvAN038T6X+SaTSUuSluilEy8pLjBOS5KWaHHSYs2KmzUoQy4AwOBy/sj5ezLu0R3j7tAbp97QXw//1e3q0/yGfD264VGlhqTqq7O+qoWJC4fEz1YA6Es0lUav0VQaQ5XD6VBFS4XbHj5FTUWqaq3q9xoi/SKVGJzYsbXrghU+ScFJigmIGbLHoRc2FHY2hN5dvlt2p+tqqRmxM/Ts9c+6vT6/Pl9tjjaNCx/HE3MAwFWzOW1669Rb+tmen6mxvbHbeePDx+trs7+mWXGzBrA6AOg5mkoDQA8YhqGG9obO1T0Xb+sqaS5xG1T0JX8v/w9W+Jxb3XM+/EkISlCAd0C/fv6BYnPadKDigDYVbtLm4s06U3/mstccqDig+rZ6t0fAp4am9kOVAICRytvsrVvG3qLG9kb97sDvuj284Xjtcd2/+n5NiZqir8/5uiZGTRzgSgFg4BEIAcOQYRhyGs6ONzk/eP+iN0OGHE5Hx5+Go+Mxo+P98/dwGB3jl7yHm2s77yFnl/u5vOmD69zeQxfUcfE95JTT2fGn3WnvWPVzLvRpsjX169+xxWTp3NZ14Xau86t8wn3Dh/UKlx2lO/TKiVe0rXibGm3d/8b1YqkhqVqctFg2p60fqwMAoKtPZH1Ct4+7XS8ce0F/OfyXbp8nHKw6qLtX3a258XP1lVlf0bjwcQNcKQAMHAIhjBgFDQVaW7C222DjwmCiSxhyUTBxqWDF3T0uF8pc7nNfGHr09HOjb0T4RXSu6rm4iXNcYNyQ3dbVF/Jq8/Ru/ruXnedl9tLM2JlanLRYi5MWa1TIqAGoDgAAVwHeAbp/0v26O+NuvXDsBf3x4B+7XTG0o3SHbvvvbbom+Rp9eeaX+fkFYFiihxB6LCsrq8vHNptNeXl5koZGD6ENZzfoixu+6OkyMIj4e/l3bum6sJ/P+dBnuGzr6g2r3ardZbu1IHGBzCazy/jZhrNa+dpKt9dG+EV0BkDz4ucpyCeov8sFAOCKNdua9fzR5/X04adldVi7nWeSSbeMvUWfnfJZxQXGDWCFAPABeggBV8Hdi1oMb2aTWfGB8V1X+FwQ/kT4RQzrbV1Xqqy5TJuLNmtz0WbtLN0pq8OqF1a+oKyoLJe5KSEpSg1JVX5DviQpIyJDS5KXaHHiYmVFZfHvDQAw6AV6B+qhKQ/pnox79PThp/X80efdbmk2ZOjVvFe16vQq3Ztxrx6Y9IBCfEI8UDEA9C0CIfRYTk5Ol48vTCiHAl74945JJllMFplMJplN5g/eZJbZ3PGnydR1jsVkkUkXzb/4TV0/7nKPC+7d3bXuPmeYb1hHT58LtnV5m709/Vc4aDmcDh2uOtwZAh2vPe4yZ1PRJreBkCQ9MOkB2Z12LUpcpNjA2P4uFwCAfhHiE6LHZjymT2Z9Un86+Ce9ePxFt1vw2xxt+tuRv+nVvFf1mcmf0V3j75K3hecZAIYutoyh14basfNHq4/qDwf+0CVIuJIQ43ww4hJedBNwuLu2y+e6xLXn7+/u2vNvlwtPOu/hJjxxF+q4DWdkIkgbZhrbG7W9ZLs2F23WlqItqm2rveT8zMhMvXjjiwNUHQAAnlfZUqnfHfidXj/5urzMXmpztLmdFx8Qr0dnPKobRt/A8yUA/a4/Xn8TCKHXhlogBIxUBQ0F2li4UZuLNmtf+T7ZDXuPrjObzJoWM01/vu7P8rH49G+RAAAMMnXWOtkNu/508E96+cTL3f78TA1J1XfmfUez4mYNcIUARhICIQwqBELA0PCF9V/QxsKNPZob4hOiBYkLtCRpiRYmLlSob2i/1gYAwFCQX5+v3+z/jdYWrO12zqzYWfrm3G9qTNiYAawMwEhBU2kAgFt2p11eZvff0pckLblkIJQelq5FSYu0JGmJpkRP6fY+AACMVKmhqfrFNb/QgYoD+tnun+lQ1SGXObvLd+vmN27Wh0Z/SF+Z9RVF+Ud5oFIA6Dme9QPAEFXVWqVNhZu0vnC9jtcc17u3ves2zFmUuKjLx95mb82Om915NHxSMKv7AADoiakxU/WDhT/QA6sfUGVrpds5b595W2sL1uozUz6j+7LuY9s1gEGLQAgAhpAz9We0oXCD1p9dr0OVh2Tog12/ByoOaGbcTJdrYgNjtShxkWICYrQ4abHmxs9VgHfAQJYNAMCwMTp0tFbfvlovn3hZv977azXbm13m2Jw2/Xb/b/Wvo//St+d+W8tHLafxNIBBhx5C6DV6CAH9z2k4dajyUGcIlN+Q3+3cT2R+Ql+Z9ZWBKw4AgBGu2dasvxz6i547+pzszu4PbciIyND3F3xf4yPGD2B1AIYTmkpjUCEQAvpHm6NNO0t3av3Z9dpUtElVrVU9ui41JFVv3vJmP1cHAAAuVtVapZ/v+bneOv3WJed9aPSH9NVZX1Wkf+QAVQZguCAQwqBCIAT0vW9v+7ZW569Wq721R/MDvAK0MHGhlqUs41QwAAA87ETtCT2x7QkdqT7S7ZwArwA9NOUh3ZtxL/2FAPQYp4wBwDDXYmu5bBgU7R+ta5Kv0dLkpZoTP4cnkwAADBLjwsfpXyv/pQ2FG/T997+vKqvrKt8We4t+sfcX+s+J/+jrs7+uxUmLPVApABAIAcCAMQxDx2uPK78hX9enXu92zrKUZVpTsMbl8bTQNC1LWaalyUs1MWqizCZzf5cLAAB6wWQyda7c/fvRv+sPB/6gdme7y7zCxkI9vO5hLUlaoq/N+pqSQ5I9UC2AkYxACAD6kc1p077yfdpQuEEbzm5QSXOJ/L38tTR5qXwtvi7zFyUtkpfJSw7DoakxU7UseZmWpizVqJBRHqgeAAD0lo/FRw9OelC3pN+iJ/c8qerWar1f+r7LvE1Fm7S9eLvuzbxXn5v6Ofl7+XugWgAjET2E0Gv0EALca7G1aGvxVm0o3KDNRZvV0N7gMud3y3/X7RLxzUWblRWZRcNJAACGmSNVR/TjXT/WwcqDbsfDfML0xLwnOKYegAuaSsOjsrKyunxss9mUl5cniUAIqGqt6lwFtLN0p9ul4Re6fdztemLeEwNUHQAAGCwMw9Cbp9/UL/b8QtXWardzpkRP0fcXfF+jQ0cPcHUABiuaSgPAIHK6/rQ2nN2g9YXrdbjysAz1LF9PDEpUXEBcP1cHAAAGI5PJpA+P+bCWJi/Vb/f/Vv869i+XOQcrD+ojr39Ed2fcrUemPaIA7wAPVApguGOFEHqNLWMYyRxOh5b9Z5lqrDU9mp8ZmamlyUu1LGWZxoaNZRk4AABQQ3uDHln/iPaU7+l2TqhPqL43/3taNmrZAFYGYLBhhRAADBIWs0VLkpbotZOvuR33MnlpVtwsLU1ZqqXJSxUXyIogAADQVYhPiJ65/hltLNyoJ7Y/4fYXTfXt9Xpk4yOaHTdbP1z4Q55TAOgzBEIAcJH6tnptLtqsDYUbZBiGfrn0l27nLUtZ1iUQCvQO1MLEhVqWvEwLkxYqxCdkoEoGAABD2DXJ12jN7Wv054N/1tNHnpbDcLjM2VW2Sze8coM+P+3z+mTWJ+Vl5qUcgKvDdxEAkFTcVKwNZzdoQ+EG7S3f2/lEzMvspcb2RgX7BLtcMzd+rkaFjNKcuDlalrJMs+JmycfiM9ClAwCAYcDX4qsvTP+Cbh13q57Y/oR2lu50mWM37PrVvl/plbxX9JNFP9Gk6EkeqBTAcEEPIfQaPYQwlBmGoWM1x7S+cL02nN2g47XHu537s8U/0/Wjr+/2PvQDAgAAfW1j4UZ9e9u3VddW1+2cO8fdqUdnPOr2F1cAhhd6CAHAVbA5bdpbvrdzJVBpc2mPrlt/dn23gRBhEAAA6A/XJF+j1bet1q/3/Vr/PvZvt6eZvnTiJa0vXK+vzvqqrk+9nuclAK4IK4TQa6wQwlDRYmvR93Z8T5uLNquxvbFH1/hafDUvYZ6WJS/T4qTFivSP7OcqAQAA3Dtec1xf3/J1naw72e2c+Qnz9a0531JySPIAVgZgoLBCCAB6wd/LX/vL9182DArzDdOSpCVamrJU8+LnKcA7YIAqBAAA6N74iPF65cOv6MXjL+rne34up9Mpm2HrMmd7yXbd8t9b9Lmpn9MnMj9B02kAl8V3CQDDwun602pqb9Lk6MkuYyaTSctSlukfuf9wGUsKStLSlKValrxMU2Om8uQJAAAMSmaTWXdPuFs3pN6gJluTfrTrR9pctLnLnDZHm36595d6Ne9V/XzJzzU+YryHqgUwFPDKB8CQdbrutFbnr9bq/NU6VX9KU6On6vkPPe927tLkpZ2BUFZklpYmL9WylGVKD0tnvz0AABgywvzCFOYXpt8u+63WnV2nH+36kSpaKrrMKWgo0B1v3qFPZn1SX5j2BU5BBeAWPYTQa/QQgiecqT/TGQJdvI/eJJPW37leUf5RLtfZnXa9mveqFictVlxg3ECVCwAA0K+abc16av9T+mfuP92OxwbE6sklT2pqzNSBLQxAn6KHEIARKb8+X2sK1mh1/mqdqD3R7TxDhjYVbtJt425zGfMye+nO8Xf2Z5kAAAADLtA7UF+f/XUlBSXpJ7t/4jJe3lKuj7/zcd029jZ9ddZX6ZEIoBOBEIBB6WzD2c4Q6FjNsR5dE+MfI4fh6OfKAAAABp+7J9wtp+HUL/f9Unan3WX8lbxXtO7sOv144Y+1IGmBByoEMNgQCAEYVOrb6vU/a/5HuTW5PZof4x+jFakrtCJ1haZET5HZZO7nCgEAAAYfi9miT2R9QstHLdfXNn9NBysPusypa6vTQ+se0nUp1+mJ+U8o1DfUA5UCGCwIhAAMKiE+IbI6rJecE+UfpRWjVig7NVtTY6YSAgEAAJyTGJSo5294Xq+ffF3/b+f/c/u8au3Ztdpesl0/WPgDXTvqWg9UCWAw4FUUgAFX0lSiw5WH3Y6ZTCZlp2a7PB7pF6mPjv+onsl+Ru/d/p4en/O4psdOJwwCAAC4iMlk0i1jb9E7t72jhYkL3c5ptjfrsY2P6dH1j6q+rX6AKwQwGHDKGHosKyury8c2m015eXmSOGUMl1faVKo1BWu0Jn+NDlUdUkZEhl666SW3c0/WntQt/71FEX4Rum7UdcpOzdb0mOmymC0DXDUAAMDQ917Be/r2tm+rydbkdjzEJ0Q/XvRjLUpaNMCVAegpThkDMKSUNZdpTf4arS5YrUOVh7qM5dbkqrChUMkhyS7XpYen67nrn9Pk6MnyMvNtCgAA4GpcO+pazY6frR/s+IHeOfOOy3hDe4M+t+5zunXsrfrKzK8oyCfIA1UCGGisEEKv9UdCiaGvvLlcawvWanX+ah2oPHDJuY9Mf0QPTnpwYAoDAACA3i95X1/d/FXVtdW5HY8PjNf3FnxPc+PnDmxhAC6JFUIABqWKlgqtLVirNflrtK9iX4+uCfUNFXk0AADAwJqXME/v3vauvr/j+9pwdoNa7C1dxkubS/U/a/5Hd42/S1+a8SUFeAd4qFIA/Y1ACECvtTna9Jm1n9G+8n0ydPlwJ8QnRMtTlis7NVuz42fL2+w9AFUCAADgQoHegfrxoh+rxdaiVWdW6cndT7oEQy8ef1FrC9bqycVPalb8LA9VCqA/EQgB6DVfi6/aHe2XDIOCfYK1LHmZslOzNTd+rrwthEAAAACDQYB3gO4Yd4fmJ8zXt7d9W7vLdncZr7HW6P419+uW9Fv0jTnfkJ+Xn4cqBdAfCIQAXFJ1a7VKmko0KXqS2/Hs1Gwdrup6hHywd7CWpixVdmq25sXPIwQCAAAYxBKDEvXXFX/Vv4/9W7/a+ytZHdYu46+dfE2bizbrV0t/pakxUz1TJIA+R1Np9BpNpYevGmuN1p1dp9X5q7W7bLeSgpL01i1vyWQyucwtaSpR9ivZCvQO7FwJNC9hnnwsPh6oHAAAAFfjdP1pffStj6rV3up2/GMZH9OXZn6Jrf/AAKOpNIB+U2et6wyBdpXtksNwdI6dbTyrYzXHlBGZ4XJdQlCC/pb9N02Onixfi+9AlgwAAIA+lhaapp8u/qke3/K4mmxNLuP/yP2HNhZu1O+u/Z3SQtMGvkAAfYZACBjB6tvqtf7seq3OX60dpTu6hEAXW52/2m0gJEmz4mg0CAAAMFxck3yN3r3tXX1727e1oXCDy3hRU5FueeMWPTr9UX0q61NuV5EDGPwIhIARpr6tXhsKN3SEQCU7ZDfsl73G38tfdufl5wEAAGB4CPUN1W+W/UbvFbynb279psspZE7DqV/s/YVW56/WU8ueUnRAtIcqBdBbBEIYOZxO6bVPS5HpUkyGFJMphY+WLCPjn4HTcOrRDY9qS/GWHoU7/l7+Wpy0WNmp2VqYuFD+Xv4DUCUAAAAGk2tHXasZsTP0lU1f0c6ynS7jOdU5uv7V6/X9+d/Xh9I+5IEKAfTWyHglDEhSfaF0+D9dH7P4StHjpJisD0KimAwpNEkaZktfzSazWu2tlwyD/Cx+WpS0SNmp2VqUuEgB3gEDWCEAAAAGo3C/cP1lxV/02snX9IMdP5DNaesy3u5o19e2fE1vn3lbP170YwX5BHmoUgBXgkAII0dFrutjjjap7HDH24V8Q84FRBeERDGZUmDUwNTaS03tTSpoKFBWVJbb8ezUbO0o3dHlMV+LrxYldoRAi5MWEwIBAADAhclk0q1jb9X8hPn6/LrP63jtcZc5m4o26fY3b9cPF/5QM2JneKBKAFeCY+fRa0Pu2Pktv5DWfffq7hEYfS4guiAkipkg+Qb3TY290Gxr1qbCTVqdv1pbi7cqxDdE793+nixmi8vcWmutlr60VBaTRQsTFyo7NVtLkpco0DvQA5UDAABgKHIaTj19+Gn99sBv5TScLuMmmXT/xPv18NSH5W3heHqgL/TH628CIfTakAuEzmyRjq2SKo52rBZqrui7e4elXBQSZUhR4ySv/jmGvcXWos1Fm7U6f7W2FG9Rm6Oty/jfsv/W7clf75e8r0lRk1jKCwAAgKtysvakHl7/sEqaStyOZ0Rk6EeLfqQxYWMGuDJg+CEQwqAy5AKhizVXfRAOdf6ZK7U19M39TZauDazP/xkxWnKzeudyWmwt2ly8WWvy12hL0RZZHdZu5941/i59a+63rqZ6AAAA4LJsTptePP6i1pxZo/2V+13GfS2+enT6o7on4x6ZTWYPVAgMDwRCGFSGfCDkjmFI9UUXhURHpcrjHf2G+oKXnxQ93nVFUUiiSyPrVnurthRt0er81dpctPmSIVDn7c1eWjl6pX6w8Ad9Uy8AAABwGQ6nQ8/mPKvfHvit20NMMiMz9bvlv1OU/+DuyQkMVgRCGFSGZSDUHYddqj3juqKo+qTkZt90r/iGdjayNqIz9O26PVpTdUCtPQmBTF6amzBX2anZWpq8VKG+oX1TEwAAAHAFcqtz9fiWx3Wq/pTLmK/FVz9b/DMtTVnqgcqAoY1ACIPKiAqEumOzSlUnXLed1Z+96ls/FhOl9wK7P/HLYrJobnxHCLQsZRkhEAAAAAaFNkebfrX3V/pH7j/cjt+YdqO+O/+78rH4DHBlwNDVH6+/OXYeuBreflL85I63C1kbpMpjriuKmis7p7SZpFPe3spst7m9dXZzi0sgZDEMzWm1akVzi5Z7RyrMq04yHZJa7Rc0suY
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plt.show() isn't required for notebooks

"outputs": [
{
"data": {
"image/png": 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plt.show() isn't required for notebooks

"outputs": [
{
"data": {
"image/png": 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plt.show() isn't required for notebooks

"outputs": [
{
"data": {
"image/png": 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plt.show() isn't required for notebooks

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Awesome!

It did take me reading the full example to understand what it was about. Maybe we could make it more clear that this example shows how the definition of the matter shells affects the final redshift distribution? I am saying this but I do not have a clear suggestion on how to make it clearer haha.

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It did take me reading the full example to understand what it was about. Maybe we could make it more clear that this example shows how the definition of the matter shells affects the final redshift distribution? I am saying this but I do not have a clear suggestion on how to make it clearer haha.

@arthurmloureiro Your sentence makes it clear, so I added it to the top of the notebook

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It's a green light from my side! Nice and clear example!

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Add an example on effective redshift distributions
4 participants