From eb8f306867bd5597023cce7af2df43569a6c9306 Mon Sep 17 00:00:00 2001 From: hanna julienne <hanna.julienne@pasteur.fr> Date: Tue, 12 Mar 2019 16:24:16 +0100 Subject: [PATCH] Corrected causal simultation --- ...mple.html => Causal_peaks_simulation.html} | 310 ++++++--- Simulation/Causal_peaks_simulation.ipynb | 210 +++--- Simulation/causal_example.ipynb | 618 ------------------ Simulation/causal_simulation.py | 11 +- Simulation/results/Beta_one_positive.csv | 198 +++--- Simulation/results/Beta_two_opposite.csv | 196 +++--- Simulation/results/Beta_two_positive.csv | 196 +++--- Simulation/results/Zscore_one_positive.csv | 200 +++--- Simulation/results/Zscore_two_opposite.csv | 200 +++--- Simulation/results/Zscore_two_positive.csv | 200 +++--- .../results/amplitude_effect_one_positive.csv | 100 +-- .../results/amplitude_effect_two_opposite.csv | 100 +-- .../results/amplitude_effect_two_positive.csv | 100 +-- doc/source/conf.py | 3 +- raiss/imputation_R2.py | 14 +- 15 files changed, 1075 insertions(+), 1581 deletions(-) rename Simulation/{causal_example.html => Causal_peaks_simulation.html} (56%) delete mode 100755 Simulation/causal_example.ipynb diff --git a/Simulation/causal_example.html b/Simulation/Causal_peaks_simulation.html similarity index 56% rename from Simulation/causal_example.html rename to Simulation/Causal_peaks_simulation.html index c11e799..1493b71 100644 --- a/Simulation/causal_example.html +++ b/Simulation/Causal_peaks_simulation.html @@ -1,7 +1,7 @@ <!DOCTYPE html> <html> <head><meta charset="utf-8" /> -<title>causal_example</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script> +<title>Causal_peaks_simulation</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script> <style type="text/css"> @@ -11825,7 +11825,7 @@ div#notebook { <div class="prompt input_prompt">In [4]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">matplotlib</span> inline +<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span> </pre></div> </div> @@ -11836,6 +11836,19 @@ div#notebook { <div class="cell border-box-sizing code_cell rendered"> <div class="input"> <div class="prompt input_prompt">In [5]:</div> +<div class="inner_cell"> + <div class="input_area"> +<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">matplotlib</span> inline +</pre></div> + +</div> +</div> +</div> + +</div> +<div class="cell border-box-sizing code_cell rendered"> +<div class="input"> +<div class="prompt input_prompt">In [6]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="n">nsnp</span> <span class="o">=</span> <span class="mi">100</span> @@ -11857,10 +11870,11 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [6]:</div> +<div class="prompt input_prompt">In [7]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="n">nsnp</span><span class="p">)</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">nsnp</span><span class="p">)</span> +<span class="n">beta</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="n">nsnp</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span> </pre></div> </div> @@ -11879,12 +11893,10 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [7]:</div> +<div class="prompt input_prompt">In [8]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">beta</span><span class="p">[</span><span class="mi">24</span><span class="p">]</span> <span class="o">=</span> <span class="mi">60</span> -<span class="n">beta</span><span class="p">[</span><span class="mi">74</span><span class="p">]</span> <span class="o">=</span> <span class="o">-</span><span class="mi">60</span> -<span class="n">beta</span><span class="p">[</span><span class="mi">50</span><span class="p">]</span> <span class="o">=</span> <span class="mi">60</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">beta</span><span class="p">[</span><span class="mi">50</span><span class="p">]</span> <span class="o">=</span> <span class="mi">25</span> <span class="n">pd</span><span class="o">.</span><span class="n">Series</span><span class="p">(</span><span class="n">beta</span><span class="p">)</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> </pre></div> @@ -11898,13 +11910,13 @@ div#notebook { <div class="output_area"> -<div class="prompt output_prompt">Out[7]:</div> +<div class="prompt output_prompt">Out[8]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dced3a58></pre> +<pre><matplotlib.axes._subplots.AxesSubplot at 0x7f62dd1c9978></pre> </div> </div> @@ -11917,7 +11929,7 @@ div#notebook { <div class="output_png output_subarea "> -<img 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05GDiarAR+YAqxxzq0FMLMngcuBNgN+NJmV/WHOBmpDUfr3CPLjKycwbWw5kGiYDzbXsGRrDdPH9mdAWaLxn1+4hX97fgnnji3nQDjK919cymnD+xy0wfaHo9z18jKemLeJEX27sb2mnntm7kq/PrK8Oz+8fDynH9+H3/9jA0++u4k/LdhEeWkJXYr9dCny07NrEcP7dmNEv+4M7tmFffURttWE2L6vnpr6CKFInPqGGD26BLjjohMY1sbJIhyNsWD9Xt5ctYuVO2q54uTBXDJh4GEdrD+duZJl2/bxvUvHtXqt5DA6besbYvzvP9bz6zc/JO7gzJF9OWtUX0aWd2f59lqWbK5h3e4DXDFpMNdMGZL+YwhFYvz780t4buEWHrr+FKaf0P+Q+3ow89ZV8cvX1/Dmql2Ulwa58YzhXHvaUMq6FBGLO9btPsDu/WGmDOvd6o/mwTfW8PzCLXz61KFcVVlBt+JAOth/ddpIlmyt4fsvLmVM/1Iqh/Vute1NVXV89Y/vsXJHLf80qYIbzxjG6P6l/H3Nbu6ZuZJVO/YzbUx5q88dTsksEoszf/1e/v7hbspLg5w/fgD9exw8YNSGIvxhzkYefWctu/c38B+Xj+ezpw9r9T7nHC8v3sZ/vbycrTUhvn3BGG6eNvKg392eUCTGzGU7eG/DXhZuqmbZ1hoisUQSMLhnF7ZU17OzNsyvrpucPi4ffGMNP5mxEr/PePC6yVwwfsBRbfuyB/7Gmp37KetSxHF9ujKhooxbpo+mX2nrk2zKU+9u5OezVvFf/3RSs2NvxpJt3PzHhcTijjdW7uSBayfTt3sQ5xyvLt3BT2asoFswwC3TRzH9hHLMjE1Vdfxs5kqeX7SVT55SwU8+MSF9jD301loWbqzmi2cN5w9zNnLNw3N44otTKe9Rwnsb9/KrNz5k4546Lj5pIFdOHsyQ3s3jTX1DjBcWbeH3czawesd+PnfGMG6eNrLZyW1bTT0/eHEZM5ZuZ/LQnnxm6nH8x0vLuPyX7/DQ9ZVMGd76mL3vtVXc99pq+pUG+dq5I7n61KGH3d6WzdkUzeyTwIXOuS8kH18PnOac+2pb7y8ZOMoN/Nx9XHziQC4+aSD3z17Fqh37+eQpFZw4qAdPvruJFdtrAfAZnDOmnFOO68XPZ63i1GG9+N2NU9i9P8xF973NmAGlPPWl09vMeuatq+LWPy1i8956bjp7BN/62GiCAT97DzSwYMNeugUDTB3Ru9nZfldtmCfmbWTz3jrqI3HqG6Ls3t/A2l372ReKNvv+Pt2K6dm1KH1iWLm9lmjc8f3LxvOpUyowMxZu3Mvv/r6eWct2UNcQo9jvo19pkC3V9Qzv241/Pud4pp/Qn7IuRW3+P/x+zgb+/fklfGbqUH54+YmtxuGHIjHG/vsMrj1tKN+/dHyzrHnvgQaeW7iFB9/4kN37w5w9uh/9S4O8vXo32/eF0u/r1bWIPt2DrNm5n2lj+nH3JyYQisT5yuMLWLp1HwN6lLA/HOX5mz/CyPJEJhqLO3766krmrtvDl84+ngvG92+1b5AIWG+t3s1/z17N/A176dOtmGumDGXRpmreWbObbsV+Rg8oZeX2WuoaEln0RScO4N5Pn5wOto+8vZb/fHk5g8pK2FoTojQYYOzAUt5dv5evTx/FN88bxb76KJf98h3qGmK89LUzmwXcmUu3c+uf3gdg2phyXl26nXA0zvC+3Vi3+wADepTw9emj+FRlBUUtTsBbqus548d/5e5PnMSnW/zBfbhrPz+buZK3V+2mNhzFDFJ/ZpOH9uRj4wbwkeP7cOLgMvw+S58YZi/fwdPzN7EvFOWsUX3x+4w3Vu5qFfTf31TNf72ynLnrqjhhYA/6dCtm7ro9/N/XzmTsgB6t2vpg5q+v4rY/f8DaXQfoUuRnQkUZJw/tyeShvZg0tCflpSU89vf1fO/FpVw5aTD3fGoiD721lrtnrOCSCQPZUl3Pki01PHT9KZw7NhF81+8+wJ8WbGLP/gYaYnGiMceZI/ty1amtr7rHf3cGYwaUMm5QDzbsqWPu2iq6FPu58+IT+FRlRatjZ8GGKq5+eA4+Mxpice64aCxfPGsEs5bt4J8ff4+JQ3ryickV/OD/ltKrazHfu3QcT83fxBsrdzG6f3dCkTgbq+qYWFHGyUN68sS7mzDgI8f34fWVu7hmyhDuuuIkVu6o5bIH3uH8cQN44NpJzFtXxY2/e5cBZSWUlwaZs7aKnl2LGFXenXfX7wXg1GG9kicYiDnH3LV72BeKMnZAKceXd+eVxdso61LEV6eNJBSJMWvZDt7fXEOx38e3zh/NF88agd9nrNt9gM//7l027a3j2xeM4bOnD0sf8/e/tpp7X1vFx08ayK79Yeatq6KiVxf+dvv0Bc65ykP9vvMe8M3sJuAmgLJBI05Z+P4H6bJJOBrjF7NX8+s31xKLO04aXManTx3CKcf14qUPtvLMgs3s2Bdm4pCePP6F0+geTFywPLdwM9986v1WWU84GuPns1bx8FtrGdKrKz+/amKbWd+RcM5RdaCBLdX19OpaTHmPYKu507dW1/OtpxcxZ20V551Qzu79DSzaVE1pMMClJw/i3DHlnH58H7oU+Zm5bAe/mL2aZdv2JdsHepQUMahnF04b3pszRvalPhLjG08uZNqYch66/pQ2rwacc1xw31us2rGf3t2KueLkwQzp3YVZy3Ywd10VsbjjtOG9+ZcLxnBqsg2cc6zZuZ/1e+oYO6CUil5dcC5xcvnRX5anZ+B0znHvp0/mhIE9uOyBd+geDPDCzWdSHPDxjacW8urSHfTtHmT3/jDjB/Xg69NHMbGiJ727FVPkN95evZv7XlvFexurGVRWwpc+ejxXVQ5JX54u3VrDo2+vY9PeOsYPKmP8oB7srA1zz8yVTB7ai998tpIZS7bznecWc/FJA/jF1ZNYsnUfj76zjr8s3sbN00byjfNGpYPFyu21/NODf2No766cNjxxIt9zoIH/e38rEyrK+OW1kxnSuytVBxp4Yt5GXl+xk4tOGsh1pw1ts34PUFMf4ZQfzmLswFJ+9qmTGTMgccJ7ZfE2vv2n9wn4fVx80gDOGVPOGSP7sq26nhlLtjNj6XaWbk38bktLAowf1IOlW/dRG4pS5Demj+3PP087ngkVPWmIxrn5j+8xa9kOvn/pOCp6deXht9cyb10VvboWcev5Y7hmylBq6iOcf++b9O9RwvM3n9Hq5ARQXdfA+5tr8JtRWhKgWzDAH+Zs4LF/rGdQWRd+eMV4zh7Vr90rywf+upp7Zq7i5CE9WbSpmksnDuLeqyZyoCHGZx6Zy8odtXznorG8s2Y3s1fsxG+W/H372FvXwMCyEmbfek6r7x35nVe46ewR3HbhWADW7KzlO88uYd76KqaO6M33Lh3PCQMTJ7Ed+0Jc8t/v0LXYz1M3nc4PX1rGy4u3MW1MP95Zs5vxg8r4/eenUFpSxNKtNXz5DwvYVFVP92CAb5w3ihs+MgyAZ9/bzC9mr2FrTT1XTqrg1vNHM7CshJ/NXMUDr6/hutOG8t7GanbVhpj5zY/Su1sxAO+ur+Jzv51H95IAXzxrBNdMGUq3YIDNe+t47r0tzFy2I33nu2GMHlDK9VOP49RhvTAzlm6t4a6Xl/P3D/cAMHFIT84f159LJgzkuD7Nr/5r6iJ88+lF/HXFTgaWlXDL9FHs2Bfm3tdW8YnJFfzkkxPwGby1ejc/fXUFL3/97GMi4J8OfN85d0Hy8R0AzrkftfX+yspKN3/+/FbPr921n3A0nv7Fp0RjceZv2Mv4QT0oLWm8THLO8dUnFjJjyXamjujNSYN7Mqq8O795ey0rttdyzZSh/NvHT6BbMNsVrUaxuOOhtz7k5zNXMaR3Vz73kWF84pSK9EmqKeccf1uzh9U7a9lbF6G6roG1uw4wf0NVukQzsaKMJ26aetAaeizueHv1Lv40fzOzlu2gIRZnZHl3LhjfnwvHD+TEwT3azL7b8uGu/dz2zAc0ROM8cO2k9AE6f30V1/xmDlOG92Z/KMoHW2r47iXjuH7qcbywaCv3z17Nxqq69Pd0LfZT1xBjYFkJN08byVWVQw67Zv/K4m1846lF9OlWzPZ9Ic4Z3Y+Hrq9s9vmGaLzN75u5dDvffWEpoWiMeNxhZlw5eTC3XzS21Qn6cL30QaLuWhuK8JVzRlLfEOU3b69j0tCePHjdZAaWdWnzcztrQ8xZW8U/PtzD4i3VjB9YxrSx5Zw5qm+r46Fp0IdEieXGM4bx6VOHNDvmZyzZzpf/sIBvfWw0X58+imgszj/W7mH28p3MXVfFiu37aPmnbgY3nD6Mb18w5pB/C845fvSXFTz81tp0sE+dHPYeaOCa38xhxfZa+nQr5rqpx/GZqUPT9e5vPbWIeeureOdfz232ndFYnJF3/iW9zynxuOOp+Zv40SvLqQ1HuXziIL567ihue+Z9lm+r5fmbz2DMgFLiccf9s1dz/+zVTKgo4/efP61ZuaSmLsKfFmzi0omDWpXSGqJxakMR+jTpn3HO8eMZK3jozbUA/OazlXxsXPNyZXVdA12LA0fdz+ScY8mWfZT3CB6yvAfw9zW7ufvVlby/qRqAKycN5qefmtjsqt85h8/nOyYCfgBYBUwHtgDvAtc655a29f72Av7RqKmPcO+sVSzYsJcV2/cRiTn6di/m7k9M6HDNuSNCkUT5pr0OnIMJR2Ms3FjN4s01XDl5cLOD9VCq6xrYVx89aL/G4XDOtTpJPDFvI3c8u5guRX5+cc2kZn8kkVict1fvYmt1iKoDDVQdaGBU/+588pSKowq089dX8cX/nc8JA3vw28+d2m4Gnit79of54UvLeH7RVgBuOP047vz4uA53PDfVEI3zy9fXcHx5dy4+cUC7WfgtTy7k5Q+2ccWkwfx1xU6qDjRQUuTjlON6MXV4H04Z1osiv4999RFq6iOM7l/KiYPLDns/nHMs3lLDuIE9Wu1DdV0Dc9ZWcc6Yfq1+J3c8+wGzlu1k/r+d1+z5/eEoJ37vVe64aCxf+ujxrbZXUxfh1299yP/8bV060Xng2klcMmFQs/ct3VrDsD7dMpLAOed48I0PicVds5NQPjnnmLVsB2t3H0iXfVoys/wH/OSOXAzcB/iB3zrn7mrvvZkM+E2FozFW79jPkN5dMzYaQJp7YdEWRvcvbXUVlg31DYmx8Udz0syWv63ZTSgSy2sysfdAAxfe/xb76qNMP6GcSyYMajMA59r3X1zKnxdsZvEPLmj2/J79YU75z9f4wWXj0+WWtuzcF+LXb65lcK8ufP7M4VneW2863ICf9ZqGc+4V4JVsb+dgggH/EWUycuQuP3lwzrZ1pEPRcuGMkX3zvQv06lbMrG99lCKf75hqo/YWfA+1M7V3S+U9SvhuGyPR5MjlrogtIlnXo+TYu4ItKfKlF4tpWo4It7NAvGSPplYQkaxqvGeheZbf3gLxkj1qaRHJqvZmFk2VeVouzynZo4AvIlnV3toBqYnn2pqcTrJDLS0iWZWedyjadoaf71FEhUQBX0Syqr2ZW1OdtiXqtM0ZBXwRyapgO4vxpDL+oDptc0YtLSJZ1d7MrakTgEo6uaOALyJZFTzEsEx12uaOWlpEsqpxfeXmGX5YnbY5p4AvIlmVupO23RuvlOHnjFpaRLKqpN1O2xh+nx3RUoTSMWppEcmqxhuvWnbaxpXd55haW0Syqv25dGKq3+eYAr6IZFV7c+mEo3GN0MkxtbaIZFWR34ffZ61q+Mrwc08BX0SyriTga7OGn8mlIOXQ1NoiknUlRf5WNfxwVBl+ringi0jWBdvI8MORuBY/yTG1tohkXVvr2oajMS1vmGMK+CKSdcEif3o65JSQMvycU2uLSNaVFPnaXABFNfzcUsAXkaxL1PBbL3Gocfi5pdYWkawrKfK3uYi5Mvzc6lDAN7OfmtkKM/vAzJ4zs55NXrvDzNaY2Uozu6DjuyoiXlUS8OvGq2NARzP8WcCJzrkJwCrgDgAzGwdcDYwHLgQeNDP9ZkUKVMsavnNOUyvkQYda2zk30zkXTT6cA1Qkf74ceNI5F3bOrQPWAFM6si0R8a5giwy/IRbHOS1+kmuZPL3+P+AvyZ8HA5uavLY5+ZyIFKCSouadtukFzJXh51Qf8MPAAAAJ50lEQVTgUG8ws9eAAW28dKdz7oXke+4EosDjR7oDZnYTcBPA0KFDj/TjIuIBiRuvGks6qeAfVIafU4cM+M658w72upl9DrgEmO6cc8mntwBDmrytIvlcW9//MPAwQGVlpWvrPSLibcEiPw3ROM45zIywljfMi46O0rkQuA24zDlX1+SlF4GrzSxoZsOBUcC8jmxLRLwrdUdtqpSTmkhNGX5uHTLDP4QHgCAwy8wA5jjnvuycW2pmTwPLSJR6bnbOxQ7yPSLSiaXmzEkNxdQC5vnRoYDvnBt5kNfuAu7qyPeLSOfQuJB5PPlvLPm8Mvxc0ulVRLKuJNB8XVuN0skPtbaIZF0qk1eGn18K+CKSdY0LmTfP8BXwc0sBX0SyrjHDjzX7VyWd3FJri0jWtRyWmR6loww/pxTwRSTrWmb46XH4yvBzSq0tIlmXruErw88rBXwRyTrV8I8Nam0Rybpgq6kV4hT7ffh8ls/dKjgK+CKSdakMP9wkw0+dBCR31OIiknVtjcNX/T73FPBFJOuK/T7MGjtrw5GY6vd5oBYXkawzM0oC/vRwzFBUC5jngwK+iOREYpnDVIYfT9+MJbmjFheRnGi6kHkoGkvPkS+5o4AvIjlRUuRrduOVMvzcU4uLSE6UFPnTwzLDyvDzQgFfRHIiWORXhp9nanERyYlgwNds8rQSZfg5p4AvIjnRtKQTisR1p20eqMVFJCdKAr4m8+Grhp8PCvgikhMlRX5NrZBnCvgikhOJGn6ceNzREI1raoU8UIuLSE6UFPkJRWNawDyPMhLwzexWM3Nm1jf52MzsF2a2xsw+MLPJmdiOiHhXSZGPcCSenk9HwzJzr8MtbmZDgPOBjU2evggYlfzvJuBXHd2OiHhbKsNPzaejTtvcy8Qp9l7gNsA1ee5y4H9dwhygp5kNzMC2RMSjggEfzkFtKAIow8+HDrW4mV0ObHHOvd/ipcHApiaPNyefE5EClarZ19QnAr4y/NwLHOoNZvYaMKCNl+4EvkOinHPUzOwmEmUfhg4d2pGvEpFjWDAZ8KvrlOHnyyEDvnPuvLaeN7OTgOHA+2YGUAG8Z2ZTgC3AkCZvr0g+19b3Pww8DFBZWenaeo+IeF9JchhmKsPXKJ3cO+pTrHNusXOu3Dk3zDk3jETZZrJzbjvwIvDZ5GidqUCNc25bZnZZRLyodUlHGX6uHTLDP0qvABcDa4A64MYsbUdEPCIV4KuV4edNxgJ+MstP/eyAmzP13SLifekMv64h+VgZfq6pxUUkJzRKJ/8U8EUkJ1IZfTrgK8PPObW4iOREKqOvVoafNwr4IpITLTN81fBzTy0uIjmRquHvq49gBsV+hZ9cU4uLSE6k1rCtqY8QDPhI3rApOaSALyI5keqkjcScxuDniQK+iORE0ztrS9RhmxcK+CKSE2aWDvoakpkfanURyZlUKUcZfn4o4ItIzqQyfA3JzA+1uojkTCrD101X+aGALyI5k8rsVcPPD7W6iOSMMvz8UsAXkZxRDT+/1OoikjPpUTq68SovFPBFJGdSpRwtb5gfanURyZlUKUcZfn4o4ItIzqQyfNXw80OtLiI5kx6WqVE6eaGALyI509hpq9CTD2p1EckZ1fDzSwFfRHJGo3TyS60uIjmjDD+/OhzwzexrZrbCzJaa2U+aPH+Hma0xs5VmdkFHtyMi3tc4tYJyzXwIdOTDZjYNuByY6JwLm1l58vlxwNXAeGAQ8JqZjXbOxTq6wyLiXal58IPK8POio6fZrwA/ds6FAZxzO5PPXw486ZwLO+fWAWuAKR3cloh4XGqWTC2Akh8dDfijgbPMbK6ZvWlmpyafHwxsavK+zcnnRKSApUs6GpaZF4cs6ZjZa8CANl66M/n53sBU4FTgaTMbcSQ7YGY3ATcBDB069Eg+KiIec/rxffjS2SM4cVBZvnelIB0y4DvnzmvvNTP7CvCsc84B88wsDvQFtgBDmry1IvlcW9//MPAwQGVlpTv8XRcRr+lRUsQdF5+Q790oWB29rnoemAZgZqOBYmA38CJwtZkFzWw4MAqY18FtiYhIB3RolA7wW+C3ZrYEaABuSGb7S83saWAZEAVu1ggdEZH86lDAd841AJ9p57W7gLs68v0iIpI56ioXESkQCvgiIgVCAV9EpEAo4IuIFAgFfBGRAmGJUZTHBjOrBVbmez+OIX1J3NcgaouW1B7NFXp7HOec63eoN3V0HH6mrXTOVeZ7J44VZjZf7ZGgtmhO7dGc2uPwqKQjIlIgFPBFRArEsRbwH873Dhxj1B6N1BbNqT2aU3schmOq01ZERLLnWMvwRUQkS46ZgG9mFyYXPF9jZrfne39yycyGmNnrZrYsuRj8Lcnne5vZLDNbnfy3V773NZfMzG9mC83speTj4cnV1daY2VNmVpzvfcwVM+tpZs+Y2QozW25mpxfq8WFm30z+nSwxsyfMrKSQj40jcUwEfDPzA78ELgLGAdckF0IvFFHgVufcOBKrh92c/P+/HZjtnBsFzE4+LiS3AMubPL4buNc5NxLYC3w+L3uVH/cDM5xzY4GJJNql4I4PMxsMfB2odM6dCPiBqynsY+OwHRMBn8QC52ucc2uTUy4/SWIh9ILgnNvmnHsv+XMtiT/mwSTa4LHk2x4DrsjPHuaemVUAHwceST424FzgmeRbCqY9zKwMOBt4FBLTkjvnqinc4yMAdDGzANAV2EaBHhtH6lgJ+Fr0PMnMhgGTgLlAf+fctuRL24H+edqtfLgPuA2IJx/3Aaqdc9Hk40I6RoYDu4D/SZa4HjGzbhTg8eGc2wLcA2wkEehrgAUU7rFxRI6VgC+AmXUH/gx8wzm3r+lryZXECmJIlZldAux0zi3I974cIwLAZOBXzrlJwAFalG8K5fhI9lNcTuIkOAjoBlyY153ykGMl4B/2ouedlZkVkQj2jzvnnk0+vcPMBiZfHwjszNf+5dgZwGVmtp5Eee9cEjXsnsnLeCisY2QzsNk5Nzf5+BkSJ4BCPD7OA9Y553Y55yLAsySOl0I9No7IsRLw3wVGJXvai0l0wryY533KmWR9+lFguXPu501eehG4IfnzDcALud63fHDO3eGcq3DODSNxLPzVOXcd8DrwyeTbCqk9tgObzGxM8qnpJNaLLsTjYyMw1cy6Jv9uUm1RkMfGkTpmbrwys4tJ1G39wG+Ta+IWBDM7E3gbWExjzfo7JOr4TwNDgQ3AVc65qrzsZJ6Y2TnAvzjnLjGzESQy/t7AQuAzzrlwPvcvV8zsZBId2MXAWuBGEglbwR0fZvYD4NMkRrctBL5AomZfkMfGkThmAr6IiGTXsVLSERGRLFPAFxEpEAr4IiIFQgFfRKRAKOCLiBQIBXwRkQKhgC8iUiAU8EVECsT/B6mODH8eKvTSAAAAAElFTkSuQmCC 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 " > </div> @@ -11932,29 +11944,64 @@ div#notebook { </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Create-a-matrix-of-Linkage-desiquilibrium">Create a matrix of Linkage desiquilibrium<a class="anchor-link" href="#Create-a-matrix-of-Linkage-desiquilibrium">¶</a></h2> +<h2 id="Simulate-trait">Simulate trait<a class="anchor-link" href="#Simulate-trait">¶</a></h2> </div> </div> </div> -<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +<div class="cell border-box-sizing code_cell rendered"> +<div class="input"> +<div class="prompt input_prompt">In [9]:</div> +<div class="inner_cell"> + <div class="input_area"> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">X</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="s2">"./data/genotype.csv"</span><span class="p">,</span> <span class="n">sep</span><span class="o">=</span><span class="s2">"</span><span class="se">\t</span><span class="s2">"</span><span class="p">)</span> +</pre></div> + +</div> +</div> </div> + +</div> +<div class="cell border-box-sizing code_cell rendered"> +<div class="input"> +<div class="prompt input_prompt">In [11]:</div> <div class="inner_cell"> -<div class="text_cell_render border-box-sizing rendered_html"> -<p>Generate a linkage desiquilibrium by:</p> -<ul> -<li>draw correlation in a uniform distribution</li> -<li>apply a explonetial decay with distance</li> -</ul> + <div class="input_area"> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">noise</span><span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="n">X</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">scale</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span> +<span class="n">noise</span> +</pre></div> </div> </div> +</div> + +<div class="output_wrapper"> +<div class="output"> + + +<div class="output_area"> + +<div class="prompt output_prompt">Out[11]:</div> + + + + +<div class="output_text output_subarea output_execute_result"> +<pre>array([ 9.90853504, 0.60782578, -8.16853635, ..., 17.45639315, + 21.83301611, -3.16478165])</pre> +</div> + +</div> + +</div> +</div> + </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [8]:</div> +<div class="prompt input_prompt">In [12]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">LD</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">uniform</span><span class="p">(</span><span class="n">low</span><span class="o">=</span><span class="mf">0.4</span><span class="p">,</span> <span class="n">high</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="p">(</span><span class="n">nsnp</span><span class="p">,</span><span class="n">nsnp</span><span class="p">))</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">Y</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">beta</span><span class="p">)</span> <span class="o">+</span> <span class="n">noise</span> </pre></div> </div> @@ -11964,36 +12011,43 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [9]:</div> +<div class="prompt input_prompt">In [13]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">exponential_decay</span><span class="p">(</span><span class="n">nsnp</span><span class="p">):</span> - <span class="n">exp_decay</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">nsnp</span><span class="p">,</span> <span class="n">nsnp</span><span class="p">))</span> - <span class="n">dec</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="n">nsnp</span><span class="p">))</span> - <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nsnp</span><span class="p">):</span> - <span class="n">exp_decay</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">roll</span><span class="p">(</span><span class="n">dec</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span> - - <span class="n">tr</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">triu</span><span class="p">(</span><span class="n">exp_decay</span><span class="p">,</span> <span class="n">k</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span> - <span class="n">tr</span> <span class="o">=</span> <span class="n">tr</span> <span class="o">+</span> <span class="n">np</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="n">tr</span><span class="p">)</span> - <span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">tr</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span> - <span class="k">return</span><span class="p">(</span><span class="n">tr</span><span class="p">)</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">np</span><span class="o">.</span><span class="n">var</span><span class="p">(</span><span class="n">X</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">beta</span><span class="p">))</span> <span class="o">/</span> <span class="n">np</span><span class="o">.</span><span class="n">var</span><span class="p">(</span><span class="n">Y</span><span class="p">)</span> </pre></div> </div> </div> </div> +<div class="output_wrapper"> +<div class="output"> + + +<div class="output_area"> + +<div class="prompt output_prompt">Out[13]:</div> + + + + +<div class="output_text output_subarea output_execute_result"> +<pre>0.7772947682136412</pre> +</div> + +</div> + +</div> +</div> + </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [10]:</div> +<div class="prompt input_prompt">In [14]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">M_dec</span> <span class="o">=</span> <span class="n">exponential_decay</span><span class="p">(</span><span class="n">nsnp</span><span class="p">)</span> -<span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">LD</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span> -<span class="n">LD</span> <span class="o">=</span> <span class="p">(</span><span class="n">LD</span> <span class="o">+</span> <span class="n">LD</span><span class="o">.</span><span class="n">transpose</span><span class="p">())</span> <span class="o">/</span> <span class="mi">2</span> -<span class="n">LD_cor</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">multiply</span><span class="p">(</span><span class="n">LD</span><span class="p">,</span><span class="n">M_dec</span><span class="p">)</span> -<span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">)</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">X</span><span class="o">.</span><span class="n">iloc</span><span class="p">[:,</span><span class="mi">50</span><span class="p">],</span> <span class="n">Y</span><span class="p">)</span> </pre></div> </div> @@ -12006,13 +12060,13 @@ div#notebook { <div class="output_area"> -<div class="prompt output_prompt">Out[10]:</div> +<div class="prompt output_prompt">Out[14]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dcded550></pre> +<pre><matplotlib.collections.PathCollection at 0x7f62dc653d30></pre> </div> </div> @@ -12025,7 +12079,7 @@ div#notebook { <div class="output_png output_subarea "> -<img 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 " > </div> @@ -12040,16 +12094,26 @@ div#notebook { </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Derive-Z_score-from-causal-effect">Derive Z_score from causal effect<a class="anchor-link" href="#Derive-Z_score-from-causal-effect">¶</a></h2> +<p>Effect of causal SNP on trait Y</p> + +</div> +</div> +</div> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> +<div class="inner_cell"> +<div class="text_cell_render border-box-sizing rendered_html"> +<h2 id="Derive-Zscores">Derive Zscores<a class="anchor-link" href="#Derive-Zscores">¶</a></h2> </div> </div> </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [11]:</div> +<div class="prompt input_prompt">In [15]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">beta</span><span class="o">.</span><span class="n">shape</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">nind</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> +<span class="n">nind</span><span class="o">**</span><span class="mf">0.5</span> </pre></div> </div> @@ -12062,13 +12126,13 @@ div#notebook { <div class="output_area"> -<div class="prompt output_prompt">Out[11]:</div> +<div class="prompt output_prompt">Out[15]:</div> <div class="output_text output_subarea output_execute_result"> -<pre>(100,)</pre> +<pre>100.0</pre> </div> </div> @@ -12079,10 +12143,16 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [12]:</div> +<div class="prompt input_prompt">In [16]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">Zscore</span> <span class="o">=</span><span class="p">(</span><span class="n">beta</span><span class="o">.</span><span class="n">dot</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">))</span><span class="o">/</span> <span class="n">nsnp</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">Zscores</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">nsnp</span><span class="p">)</span> +<span class="c1"># Compute standardize coefficient</span> +<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span> + <span class="n">Zscores</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">iloc</span><span class="p">[:,</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">Y</span><span class="p">)</span> + +<span class="c1"># compute Zscores:</span> +<span class="n">Zscores</span> <span class="o">=</span> <span class="n">Zscores</span><span class="o">*</span><span class="n">nind</span><span class="o">**</span><span class="mf">0.5</span> </pre></div> </div> @@ -12092,10 +12162,10 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [13]:</div> +<div class="prompt input_prompt">In [17]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">Series</span><span class="p">(</span><span class="n">Zscore</span><span class="p">)</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">Series</span><span class="p">(</span><span class="n">Zscores</span><span class="p">)</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> </pre></div> </div> @@ -12108,13 +12178,13 @@ div#notebook { <div class="output_area"> -<div class="prompt output_prompt">Out[13]:</div> +<div class="prompt output_prompt">Out[17]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dcaf44a8></pre> +<pre><matplotlib.axes._subplots.AxesSubplot at 0x7f62dc61d4a8></pre> </div> </div> @@ -12127,7 +12197,7 @@ div#notebook { <div class="output_png output_subarea "> -<img src="data:image/png;base64,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 " > </div> @@ -12142,14 +12212,84 @@ div#notebook { </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Test-Raiss-imputation">Test Raiss imputation<a class="anchor-link" href="#Test-Raiss-imputation">¶</a></h2><p>Mask some SNPs in the Zscore vector and test the raiss model for different eigen_ratio.</p> +<h2 id="Estimate-a-matrix-of-Linkage-desiquilibrium-from-genotypes">Estimate a matrix of Linkage desiquilibrium from genotypes<a class="anchor-link" href="#Estimate-a-matrix-of-Linkage-desiquilibrium-from-genotypes">¶</a></h2> +</div> +</div> +</div> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> +<div class="inner_cell"> +<div class="text_cell_render border-box-sizing rendered_html"> +<p>Generate a linkage desiquilibrium by:</p> +<ul> +<li>draw correlation in a uniform distribution</li> +<li>apply a explonetial decay with distance</li> +</ul> </div> </div> </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [14]:</div> +<div class="prompt input_prompt">In [18]:</div> +<div class="inner_cell"> + <div class="input_area"> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">est_corr</span> <span class="o">=</span> <span class="n">X</span><span class="o">.</span><span class="n">corr</span><span class="p">()</span> +</pre></div> + +</div> +</div> +</div> + +</div> +<div class="cell border-box-sizing code_cell rendered"> +<div class="input"> +<div class="prompt input_prompt">In [19]:</div> +<div class="inner_cell"> + <div class="input_area"> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sns</span><span class="o">.</span><span class="n">heatmap</span><span class="p">(</span><span class="n">est_corr</span><span class="p">)</span> +<span class="n">LD_cor</span><span class="o">=</span><span class="n">est_corr</span><span class="o">.</span><span class="n">values</span> +</pre></div> + +</div> +</div> +</div> + +<div class="output_wrapper"> +<div class="output"> + + +<div class="output_area"> + +<div class="prompt"></div> + + + + +<div class="output_png output_subarea "> +<img 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B6md44wv8CmE8VRTkySLNvz/EJYgLYYk9XSInm7WNqitk1Q+1DM9COFBbTRnRafLhslBSMTZv7KXArvXV72ffcJH3T5dkyi3WuF7YT5j5QeljAQmCepdDOqsD0VWL79jCUHYfmCvYKK2FJGSkzxAW/zCXjjIn5TiLAE8NkYElsGPFsGgONvPwcA8OWjvCXpIXW/t3XwLHTMMb8DrJ/1vqfi2crSrGQYniIBwO5kbLT3UBa//s74unzdcGCWk+0/JlJptIum5JwNMWGLFa+ZJWtsh9fUc+tGXfIsLJHDFpowwRjjJb0RtpOXzGJBDTPySrGwgCbF1mLyfNxmhE3KvljyHJbvKhofaW3lmDFfy7x9sTiuwnw1g/lgX7QrTcrO150hbSjLTw/aV8JS+b6S48dELvn3iM9pFgKxY8q59t0nfACyNboZK8yowvZUYPn28gV7lW+QMOeRmHP3SH2182Btu+u/nYVS5ryjKmzLm/Wn4z5P+B9tljvMZaTYGF+sPpkVvGu5/1zylzkbg+PLwphfdas38D9l5Tvz5ee1F+XLIt++uubl2y9s+WyJS03WFmY9jwUx0+wc3l49IF93vvXFZGvu801tH19nCHNlhtZU1HzMNkdrnoU/0chyxrmALDM7yVxgNsxZA5InyzFtjpnaTlGGHMQWKX4v14v3X69ObRLFzEqLk2pgBlcWidMM7MOYvzLyYIMi+lwzsQrN8sk+1WXU8Hd5v5USwijXmzNPgiIHSsxYy0wJigFQv2rZHGERheK6INukUswy0raPGW7Jd2dFITjH0W2UPZBoA3mF7f9GxqrXG2Ne6ta/3ZUH3xfArcaYC/vc5oSEeQFOdUzYwZgH2RoAohJttcK2tfY8AOfNvGkJCQkJs4QByNaYMwrBJU6c0aDhz3vb2bCfK2JzjT+pWsIezOwqJ1JsFpZwqpxM/nEo4ws3fixfXvr0F+bLi4eycMB5o8fm6z7QvitfPqdyoGsL+eLSS3eTW31Vzaf6HW9W5MvXT2ThnCUkUhmhEMW9E5mWZ4zk5W1lkotrMPIk0bAbNm9s+LAMD28X1vxxBex6JzJfnrDUJoYAHxYI0u4UeXZMPi3ilooy/Ab85BAPxbUJsQ4V4zOmGIKoRibRJOygCSx4exZzcPul3wL5tpLWOFb1IbZYPcEyT3AtLVCrdNKICn5M4ZiaiKSpTFICwAJ3X3EqnyYfj6VNStiGr6Umkul7YYIBCGvMmYdzwvxAqiGYMBAYgMnY2ZBvGwAfBvBHyIpGnO9CHVPi/olMvs0MYImry7fWCTiAsCK21PhjJsAezGJcxDJsFpZIqhxP/DFb3rjuu/ny3Se8FQDwpm0P5es+2fGTe69v3A4gnAwZqhJzdYzz9xZ6D+j11ktqTxrOJj8v274mX8eTi4tdX2yj9K1gksX1wR5D/lyYbQrzHR6iuoWcaie+wiXiIT6mJiyw1uYTfjGzGzlGIBVX5LQd+lyTD2tmRfx5zOxH2srb8HkJc9Mq1fB+eZ1mfBQVqSj1JHmiV0uB5HX8G5FlZq6aD3jMm3rE3Zexqi+CWCXxlsJstXuETa6YxecpmjQJqpk99d2zZR4wZ8lxvprWvQbAuwHUASwA8OZJ25wGYD8Ah1prO8aYp/WnqQmDgOnk0yYk7DTMg4fztOXbAP4CwCnWBe6stY920xCJ0zFzk7QtfuufY9bny1IRu0Vv4jHqc4nZDtNbWWTYgBeW8DYSWwY8WwaAg677JACgc7TX4Bx9nK/qXf1pxhDqNd/WjvK2X0JmQetp/UJbrFvHDEhYJFf35piqMA9mm8zcjAvucfodx5SFmQ1TTFmTBLetPpGSV/dAVbUM5fhx2zFGThnrGCXli5aDOKkpxpw1wQezWU1ezC8SbcQQ1EtUZPUxYyM5L2aIgTGR6x+OvcaKHEhfBvJ0FEUsMXvTqdoHkAiE2DIfS34usRRJf9CpK5bE6jnmUn++llo9yH5rkgcgrDEb8u0DAbzaGLPaGPMNY0y0OKAx5nT3vdUbtnf1DE+Y40iWoQkDgXar+7+dhNmQbw8DGLfWrjLG/D4y8Uos7e4CABcAwG/s/XwLlMcWOYF/v5HMPpQrYnONPzHGZ5tPNi4SKTYLSzgbg+PLwph/eIsvIv7yY9+SL3+ytjcA4L4hz/dWNDkOmuF/jBdxrOx4qfn1JsvieH/1oHzdo8P+vC9urnX78es4s0OYx7aIZFkYLzPvmpJBwdkeAfOvFfcZmtVk28cmBJnRy0iIR0SaWq4SkTRr62qa8RIzuIiZu3b8cVuMeWosOcjAKJE8a2yyQlL3WGaLZFPEKpZr9qRa1fbYS1OsRDWRj2tMYZ8ayy+bq2hHRnTaKEuT2nM9zr6gz2ENY8xJAD6BbMB3obX27EmfPx3AxQCWuu+8x1p71VT7nA359noAX3XLX0MqV5WQoCLJt3ci+ihCMcZUAfwrsgjD4QBea4w5fNLX3o8s6nAsMpL7b2X7nQ359mUAXgDgXgDPA3DX1F/PIPE5fmtOuDc0M2d+w25oZSzvkubd+TquiC1lpNgUn20+xbiIZdicu8zZGBJfZrb89Zt8/x5+2B9lbR3XbSxF6vzGjmfGd1Y8i5aMkXM69+brNm3zLPb1C7Nr/a2Wj3Nv7RQVZhxTXlBjtlWc1Q9yc8V4acj3BSvYtOrdnUh8XBh1hwmYLbL0mI2k339xn5PbrW2fG7zHymh1imWitJh0LPdXKk1zTFvL420ro4WgrUa/78tCQ3XFSpXj21bJpghGC8a3a9TlWseua0U5F56rkP3yiIzvMdk+VgxAa79WWKHv6C9zPh7A3dbaNQBgjPkSgJMB3EnfsQDEQ3gJAL2eHaHbPOcvImPBufG+k28fCmDMybXf6FLuzgbwX8aYdwLYAuBNXR4jYR4g5sSWUEQjMrmasAPQ34fzPgDup3+vB/Drk75zJoBvGWPeBmAhsoIkU2I25NsbAby8m/1O2g4AsLG1NV+3Yiiz+uQDc57vbi73l4umfrrtC7BI0VUpIQV4U3zA23yKaRHglX6Az10GfDaGxJYBz5YB4M6f/zcA4OHf+bN83a/W+WKwTzjm9GXjFYLL4NV+X3NJLX84vH++7ll04qc/+VMAwIt296Olx9q+r8YdY64Rq2FmXVaoU/AkKQiZDQobCsyOlAyBDmzOAmNsTFhUbFivMd4gNxbFuDZnXuQ2k7bIhmPH0cz42fQedI8JY+Zz0uKoMeMj3kbitxxT5e9qBX+ZsQujj8W8tcwUZqZyXbn9wehKYb5terDJcTW2zO0zyr3EiBUTmDW0u2fkbG3scIGbL5sOXgvgs9bac40xJwD4vDHmCGvjcZOkEEzoK/pesWIeI5Y+l7ADMA3mzIkLETyATNsh2NetY7wRwEluf9cZY0YALAMQTVNLv6SEhIRdD/11pbsBwMHGmAOMMUPIwr9XTPrOOgAvAgBjzGEARgA8hinQq3z7pchSQhYjk2ifZa29xH3eU/XtrU5wwkMuSWni4TFLXmUSgicNeEj47UYWc+eK2FzjT6qW8PZsXBT4DbvJNU6V48k/CWes+MZn8nVbSMQy/lQWThkGT6b47YfduYzQUHw4cl6C59Z8CuFVE1mFldgkmGYgw8NPqYAyUmURTVEYsLHpwx4LyLiHQxV59W3oYQU5F63iBwBA6spRW7VUOa1uH6OsFh5XQtGk2jFBUG7+ZIuhFG6LFh5gaL7KgO4THRPENN3wPLZ9S6mqrqUAahO2gDcmYpYfiEiUGoctJdwTCFuU8+P7TrtX+j4i62PM2Vrbcs+9q5GlyV1krb3DGPNBAKuttVcA+CsAn3FzcRbAaWXl/mYi337IWvsrY8zeAG40xlzt4s0/AvA/AL4/7bNMGHik6tsJA4E+l0F1OctXTVr3AVq+E8BzprPPGcm33UEfNMY8CmA5gI29Vt8WZqZJO2MWivLiCSZjlGT1jW2fksYVsaXGH1csYZtPNi4SQQYLS5gNyOTfFkXyDQBjjlkvfGz3fN3BHc8WHnCM+tAJv8/tFX/ee4xk7R4h5r1fy/fVHw49AwDw9ZYXzrCYQthWzIxHk8pzKl2+nu6YbS1v3KQxN065CuodKsKJlmKWE0iOS6pAq+cVYYuyX22fAKUNRtiolmWhMVO+l7WXFrP9ZoQZS78Ex2cJvjvvmKeJtIUnFlloVKsW0w55IlOuVbTSiZG+0icc/eQqTeISCa67+zmcEPRfkPuu7/H5AfDWmLF82xhzPIAhAPdM9+As3964fcrwS8KAoNNnRpKQMCuY7/JtY8xeAD4P4E+nSgmJgWdBD16+0rZtJ2ANOTMmBtY2OhvS1o24fXGceg3Zj0pFbE6Z2kQveDYBEvARmY1IqpzElgHPlgEfi16w6m/zdXvQdR+tZ21dbDzbHe34ozUcgxkhBjJGbjCPu0rjpxpvj3qB9ZW+R90oITCWUqTezJwDZtsppmwNE8PKmasBNjtxUNX4mLSpFOPD/CDXRkdaehp/N6zLxyZKxX0yS87Xc8xYYX61YK6iGHONmQkZqe5Ng0dN1h6LA3OsWuLbVdoXn4vMJQS/GyXWzvsMiigoIg8t5qux4cnH0qDVKGQ0lftqOtW5e4Xtu5NS/9GzfNsYsxjA1wG8z1p7/Sy2MWGAIA/mhIQ5jU6n+7+dBFNWlRgAjDGXIDPYv9xa+/cuXeQbAK601n48ss1aAKu6zdY4asUJFghjS2WxSy2uzWWUcjMelunSdze3s5gpV8TmMlIHGG8fKlaf95Jx0bM7nhn+2IlLOBtjIbGlBW79Oav/IV/3n0fn8wU40MV8vzzi27rRMrPNWv6yCX/M7w5TTNid44PWV+9+fsez+Es6WSx6IlKuSItZcsxZKxM0HmFjYqYTlMlSzN6ZbfJsvbC0GFuy+X2hs0XZntmiZibP+9fiyFq2Cq+PWYZKXzFbjFvBFu9xLTNF2z8AjLjRy1P0UtRYLpd+Gi8pKcXoVuTCUDNj6Hs8Epa5jtjvWjWxAnDrw9fNSIq67fy3dU2dF/zFv+wU2Wuv1bdfBeC5AE4zxtzs/o4BUvXtXR1baJIwYWqk+PxORMd2/7eT0BVz3hH4tb2fa4GQIWxsZvLkWBxUKyfE3xXGHIt3abP2xw/5oqtP2qKx0ErrbT5/QcZFNWF7xBA4G0Piy016B//xLR/Mly856gOFz9fXfLuus1ms/PnGZ3sM02ktcWG6O+s+XndE0zOU+92+rmx64RLnfzcV5swmSjIi0ew0gXDEs6GxufA5x6flGsUyADQ2pxVA1XKbAT2nW8vsmI6pjhYfj20vLJDnOoJskhKTJM1+c7zt+30xFeOVfuH+12L1i2gbYat8/JhkWp4PQUk0pX0a22fEmLPMZZRm3iD8nf7sof+dGXP+xJ93z5zf8amdwpyTfDuhr9AezAk6NGFKgo4YweoZc4SUToU583CWNzTHniQBhFnBWK1YTj7GGrR7n+PPoQItW3/9hHfyk6KrgC8jdT0ZF3FhWDEuGiYG8gDFnyUb488n/OfClgHg1bdmLPqdq96br3vMeobzjEpm5Xnsds+gLh1lG8dizHmvqo857+8o+ZFDy/N1Nzce8e1TsjlaxrMliVUbGL3AqsuiWTa8JL+W45GioxI/rHGcsVJkSDxKGlJu1bqSDwwAI6Y4ouJFjfFq8eVA4ajdS7HCAu5gw5V6fqzYKEEYK3+umtGz8RD15UKn0mx0vHKTfw9arJjPdbRaHKUwWx2XIg3UJm2ugbeZ0JSfkfg8M2ZtJNQcDMvQWcGUMWdjzPeMMS+dtO4MV37qOmPMHcaYW40xr6bPjTHmLGPMXcaYnxtj3j5bje8Xav2Whs5jlFmCzpUw2VxAWdhkh7ivDQhiIapZwwDEnGdDvn0aUvXthISEuYwBqELTd/k2eqy+LUMdnkRZVF8QfDYZkhnActOtbZ8tICIRraIH4Ce5NrV9KIDr8l22fU2+LENxrvHHVUvEh5mNi1iKLeKSSyhVbiXNrUk442Or/zFfd++JvurKKRszz+lFo/vm604d9/tf6ybRHqfqJ49VfL/dWM/65UVNnx54RO3p+fJFjexcxSMbmFTXLfcF9kyCU9U0lhhU925RCp/rI5YR83XRRCa8LBOGseNrk1x8LhJ2YJbfDKTuRfGRVomcoVVV4TZpE55pOv71AAAgAElEQVQxybVm5BWk7dF24+7eDqt7F9leLNQh62PGSnn7IyZcci23K5PnfC4xkY20la0SwpqhU4tYesagi1B6lG/3VH378W0Px76WkJCQ0FfYVrvrv52F2ZBv91R9++gVv2k7sMEkjLxVY7Pa8oaPSUsFFaU+HKC/jUeMPskk++WK2FzjT6qWsM0nGxeJFJuFJetr/lgy+cds+YBrfY3C9QdlxWW2DftKLGsrfnJ0TT07lyMn/DndNuLZzLiTH99P6XlbSAr/9KEsRW8jjSJY1i6TPDaYOCPrSVtkdnxdeCJX+pWl+PqEIRlSKcyR2Wog1RbL0ch9kX+X7wtF+BBMSCrVoceDeowkMnEsmc+/Xpl6Yi5WSVyOq1V64fVhql7xGDHBTJklp7SLU1Q1qTifC4+YpA/K5ip4xKwZRvU9s2UAwhqzId9O1bd3YcSG6gkJcwrzYEJQrb7t5NtfA/A5a+2lkzbpqfq2QEvQj5mrCFvQzMNd27N19A5iMUPDOU4x67h3wqvNF1P8tePetBc31+brpCI24Gv8MSsRm0/AGxe9aPRZ+brrOt6ESVLlJLYMeLYMAPff/XUAwDtWvSdf93F4Y6PdOllbP91Yn697zrCPjy9y6WVXN72lKItQDqgtAQA81NyUr9NGIWVm/oCP9TMbtIqIg42jtJhxrOKzfM7MlecdqpWigXyMeQqYGUpbOE7L+9/cykYXS2sLC9vwvmJ19WTExmKbtqW0To7Vd4r3aMDIxTI0OCcq2FAtfs7Hles2HTMjhlzLWuS+ENsBvlYL6bprx+f2afMDfcEApNL1Wn1b5Nt7GGNOc+tOs9bejFR9e5eGVpA0IWHOYQAmBOecfJshb9Ohkjgws2GNVcSkp/JdfqDUiWVvU0piMQPi5RW1scI5sTG+WH2+eMIzsPuG/PbHjmfM4ppROj6xPWEQn1h9dr7u7JV/R+3O9nUPGTO9sOGPtaeT/15J+x+i9h/VyNr3kyHPcNaQsOHRVra8IGKUM6FkazAb4utWUZjxVpIUC5jBMXMVxOKQmtkPQ5N3j5dkY2iImfHLPcbnpzFzRsxkqaYy42IbeHTIcym5iEXJVgGgC4qUY5XFrLkvy46vybeDSuhKNsnkmPVND/9oRkHorX/3qq4ffAs/9OUk305ISEjYEdiZWRjdYs48nIUFsdmOvIG10lP8eVCIld7KTzYzqfXSume12gw8H7MdMf3uuGEQ50FvJWb9WDszaeKiq1xGSozx2ebz8I5n7CLFDnOXfYaDxJeZLb/nxg/lyzcc+dcAgEOt3ycz82sd8fwdKkr7YM331WX1rK9+r+El6SNDPma+qr4UAHANlcHibI6mUkZIKykGeDN8ZkuaPHkb5awz8xRmycxVsyTl/XP8V2OjWkZPbHIztzTl+XTKPNEYPR+fWaR2DK0kljbi4+VYHrA2L9OmkWZTGZ1q8zaxPOk8ZztiaSrMWctdDtodGcEzY55u6bspMQBhjV7l2/9hjPmZswq9wxjz5/T5WcaY+40xW4p7TEhIEKTMlu7R1wczMC+yNaaSb//EWjthjBkDcLsx5gpr7YMArgTwSQC/mk5DJBsiiD11mds4Wh0KbBAFUmZqe7uhqp4mFPtLLR4H+Ld9bCZ73DGLqyZ8BoUUXQV8Galheh8uoQGB5MGuJQYoucuAz8aoU5uELQPAr932EQDAV4/0zPqwCc92toxk+711GFjp2Pkzm/78x1zO9beHtuMV4xn73kwjlv06GRt6TWVvPN0Vuf14zdd95H7LSytRWxumyKyD3FlibsIWmaExG9vkjOUDe9jAxMpZgnaK8xMA5UEH91ox46eKilrmKc8mgWf8bZr9l/Ovm2oeyw7iyG50V0PVx1TpVue25sw4yHYp/i60YgPSBiC8Plp8Ozb31CDDK+1YWnxaWzfRaeb9EmP5LWUuoEOnWpYrPS0MQJ7zjOXbyEQn+Z0tOc99f9NNAe3BzEgGMx4rx6eOtcmDOYanN6e+qUcV6fOgokwyXHZf8SSjhr5XlJ7DKLsvykyi+vpgBgY/rDGVfNsYs58x5lYA9wP4J8eapwWWbz+W5NsJCQk7CLbV6fpvZ6Fn+ba19n4ARzlXusuMMZdaax+J76YIlm+v2utEMVLKP9dSnjQ2o5nmAFBfPcyyZTseUrMZzx5DfnJMwi5csZonwWSoyiOGr9PkmVTFvrHq5dEjdd9A8WFm4yKWYou45BmLfZt48k/CGb9/m58k/OhK7xe93mQTkc+glLT7KdNskzv+3cN+wvPItv/uDa7da8j/9wAsyZdvbGUTolva43lqYsy4SBdOeAijjHkYC6ySsgXoNQhHTbFSeEyYIrJ0vn24+racX1Opd8mYzoiNt+flIZrgFmgpfHysMkaupap1DB+T0u46sn+a3KXjS9gj5m2dy885rKT8hocDQY5Slaff8fkBEKH0LN8WOMZ8OyL+GQm7FpIIJWEgMA8mBGPy7X0BPGGt3W6M2Q3AbwH42EwaorHkfOKE1k0ocTxtsgfwb2O2DNVYw2jNsyrN1IXbwNsvIJbLaXUCrrd3gc0mCv/UeJvOxfTylqolbPPJxkUixWZhCafKyeQfs+V33ehrFF53xN8AANYQwTlswh9rAaXNCa6t+ISbV49nE5Lrie3Xre+rrcPetntN80kAwEKKM44SM8otWum68TVe4mTzjVilcHevNDt6epkmImmVsL1KZMJLwPeFMOYgLVNhyZpgio8bm1grk1ePBCZEWRvYOEgTjAxFqsbUld8Yj17FsCqQd9Pn8jKOX6upJ/q1VD1+BvjJ2T5j0GPOhMnVtw8D8BNjzC0AfgDgo9ba2wDAGHOOq769wBiz3hhzZp/bnDCHIQ/mhIS5DGtt1387C10Fxay1l4HcVKy11yDiNmetfTeyVLtpQbP/lDhvzPJTi01p8WcWpnDKlMQcn2g8la/jKtGciiU17jiBn7tPq1IcGPs746FLOj4OfVLNV/qWGn9iig94m0/AGxftSVWYr6UJcEmVk9gy4NkyAJxw+z8BAH56nGfWT1R9Xxw7kW33zVGWNPtzuWco++4jFb/u6Ib/7lI3ijhuaE883MmY8aaOPxeNeRnFRpO/y/2vpTh2qK8bdCvkbIsYZEWRBzNbCz539qcmct9Ju7VRHIPnMjjZQDPzqVJf8D0kLJLvJW5Ls0ye7b4a9IXyGwpGG9RWTV7NLFlSCANzMRRHDMPGs31VhEIIaz8WmXdfMADMOeWYJfQV8mBOSJjL2JlZGN1iyoezizWfba29mtadgSzEcTSysEgdwL9Yaz/lPh9CJkJ5PoAOMr/nr5Q1RN7Q/NYUthBYLyrxxGbEmlIYAM8EazPZUg4LADY2fJx1eIhif247rvisMae6IobI2p01hrM9rmw+kC9LVWwuI8XG+GL1eeWoj+2yFLvu+oCzMTi+LIz5HT/zcej7X5ALO/HPm3cDALzJbs3XfbXi49CjrouZLd855G/wmxq+GtnJ9ayU1kTNZ3N8dfs9+fKYqxjNlqVtJf4akxwvrGUZJYEkWsns4GvN8V2JaXcitgACjs1qwg1NMs6IZaOw2b98h+/7IBYthQWomAFnLpRJzYXRxvpCs2dlSLv4WgUjgsnnlB2gsH0gCQ+OX2SwWnbWXM9zNsacBOATyMLjF1prz1a+8yoAZyLroVustadMtc/ZUAi+D8Cj1tpDjDEVALt3dXYJ8wLyYE4oR+yBmLAD0MeuN8ZUAfwrgJcgKzZyg3se3knfORjAewE8x1q7oZvC131XCAJ4A4BDAcCVrnoc00BgLdkpvi35hhbGHLyJldgUx8NC0/PiOi2bA6BZ7cixpF0xS1FhzLyO2cjNjSxFnIuuchkp+S7bfLJxkUixOXeZszEkvsxseb/vfSpfPtgx6ydIbLll1F+LfZrOIJ+uz+Mdf7CnOcvU6+xGHOoY9x5kIP9ro/vky7dNZCy7zJqzFslvF5YYK52UFwumnPZaJCYraCrzC2EGSPFa8724oKIXDtCgllKjY/F5+2wHnelJH8ZKtWmMuqysG/+e5LcT6AMU5sxxaE0KzyPa8WAkXOzrhtXztIcjFrC9wPaXOR8P4G5r7RoAMMZ8CcDJAO6k7/wZgH+11m4Auit83VeFoDFmqfveh5wx0n8bY/ZUdp0wT3FopZiSl5AwU/TzwQxgWnnOrGR2f6dP2ts+yJ6DgvVuHeMQAIcYY35kjLnehUGmRDepdBLagPv/F4FMIWitPQrAQQD+1D2EawD2BfBja+1xAK4D8NHYjlP17YSEhJ2CTvd/1toLrLWr6O+CHo5YA3Awsrm41wL4DJHZ6AZluBzAx6ZSCBpjRCH4FQDb4Au8/jeoWvdkaNW3+Q2p5RhyFYVmOxs+lg2PO5FQhFQ9Ceqb1bx8mYd8ucyVqwwrklWe2OKhYD68o+M3aSgnqXYXNdbk66QiNuBr/B1FE3LiwQx4VzmRYQOhsERS5WTiD/ChDAB4i5so/H+r3p+vu6fjUwyPrGb30dV1P+T87XHfP0eO+Mm/n7Wz2ogvMXvk614x4Yf961wfP0WpdtpQmP2ieXQuVbt5KMwTcr56ty7r11LpgnCaLYbGgvtSmaTi8EHuMx4Jb9h8kk3/+YX7df+PxKfztMLIhGK3+y9DrK0C/l3U2GJPRCaRUEVZnVDZb1na4nRhW30NazwAYD/6975uHWM9snm6JoB7jTF3IXtY3xDbaSlzttZuAVBQCBpjRt2yKAR/6eLQVyJ7OwDAixDGXRLmOeTBnJAwl2E7tuu/LnADgIONMQe4bLXXALhi0ncug3suGmOWIQtzrMEU6LXA62EAzjXZLIUBKQQB/A2AzxtjPg7gMQCv7+YAMqHDUmutFpshViOfBwnwxIZyr102tQlYw9QezSxMEG9oNkYaHfIVVp50KXgjZAzEbEuWYwxCjrUbVfze2PYsWKpijw3vna/jqiWjTgzAxkUMEZdwqhxP/glj/vvVH87Xfe4Yz6ylksvLt3vmfuuI7/fvU1rg6ypZuO1JmsT6/JBn+c+sZCz7QOsnrK9seVPDEalQQ8yT5ckyYolNvAnb0uoOAr56Nk8i8oSeNonFqCqcRpMfxwy7NI9lvi95JFdXbAMCEYik2gVtKlYPCSwMIuIfDdLGWKWTPLWUiD33m5xXLZKC6pm/Dhk99T/m3L9dWWtbxpi3IstqqwK4yFp7hzHmgwBWW2uvcJ/9tjHmTmQDlr+21j4x1X5nQyF4H7LK3Am7IOTBnJAwl9HvLEZr7VUArpq07gO0bAH8pfvrCnNGIShv09C60aWPcZUMpZZZzNRc3uAxhuXrFuo1CLX2sWRYY/kce9MMl3gdG9i0TFGGW1cMbLgiNtf4k6olbPPJxkUixWZhCafKSXyZ2fKpN3vByttXvQcAsIgsaB60fhTxy6cyS9MPYD3OXfzrAIDvVjxbfrjt2/KGRjbieIDI0OF1H5+WtMJYTFhGOrGUMPmcDd6biqBknKTwI3TZ87RITsu0xc9rETuevJILitcP8GyRGXBgPFQiaeZ+EUFPkGpIxxKToUDQQ7RRE3pxv8lvi7fXqmvH2pqnAtKIN7BoUEav2sik3zHnQagQNmcezgnzA/JgTkiYy4hEF+cUepVvP8ta+xfGmMXIJvwus9a+1X1+FoBTAexmrR3T9jsVNOtFfhNrdooxYyOJhzHD0awbRyNmR4ycOVDzhpQ4WhinJmbcKVqiMkOZyNkWZSAorOTRlmegUhEb8DX+biAzf7H5BLxxEZHlXFgC+GyMMZoAEbYMAOetztSoP3q2N1PqUGd0dj8CAHANtmKZM7b/g4Zn6b+kwgUX1zJGvZvxcd5DqRL5M+uZEOdrTZ86OqTcqrE4qICZKceURZa/oen7kkc0cj+0FftZBq/rKPcVH79O96DcS6NmKLcjYON+LWMpsPGs+qrsqtSd2igsW+sfwDPf2ChD+iJWPVza36KjjpqirL0sQ0RjywCbl/WXRw6COLNsZoBznAV5rjOADwH44aTPr0SmmEnYBbHMzJ8agrMNzScmYcfAdrr/21noWb5tjFkJYE8A3wSwSjbotcCrxAFtD8GgIAeUD+tYA8fYtNge5yPHGERbqQitmY5vJDbGvcsVnQVsxi/rOU+a9y/9uYBY1TVUBuvd7cx+lMtIsTG+WH2ycRFLsSV/mbMxOL4sjPk5d/xTvu6qI3xO9IZOxoY3YBy/b7P48WYia/dS/vVi9wDfE76ty4lObXLNfnXNp45e3PDGSUuq2YhgC+VJs02lxDRH6FpqJkuLKKe9pcwl8H0VWHIqubeacX7sNyAjwU4sD5quu9y7MUvQst+ZMGb+nlYEILgX6R6Xc4zJq2VUysyYM2t8zjmZgFH8Oc85j8QZpK+b7XZfq+wMPHOOybeRPQLPBfCuWW1dwsBBHswJCf1E38ufWdP9305CrwVe3wLgKmvt+pmYYDuN+ukAsNei/bHb6NOCN7SgEjmGvK3LWAXbLTIrkbc6X3gtG0Q75uRjWfcqXkDxwG0tz+zExJ/Pb4xi5dLWMntUBmdzfLz2GICw6CqXkRLGzDafbFwkaj/OXeZsDIkvM1t+2e0+J/qnLk96LTrY7tjei7b7cz1hyMe/v1t5yp2fP5dazV+Dp1zmyiFt3/5Dhpfny+tczncQ81UyCJghNhQ1H19fLesgVvpKs7HkPF4tP5qZPc+BaHnAgYmQYvwPWxxdceECTeEYlrnyI4qt7ewerUSYtaYMZNKZm0BFj1UsFcfxb8kG4XVbaSQruoGt7fFSleJ0MAjMuSf5tjHmLwGcaIx5C4AxAEPGmC3W2vdMuadJYPn2s/f89blfmiChFNsHIUdpjqDvHsXzGP18MANApzX3+76nAq/W2tfJ58aY0wCsmu6DOSEhIWFnwe7EcEW36FW+HYUx5hwAp8AVeEVWFeDMsu1kiKr5vlYiCfptJVlfgyad5fW2UxQwTG6LDCtjyf4yBC6r3s3DRw6hiJkPDymD6hdu/QTV8OP0K2nXjS0vz+aK2FLjjyuWiAcz4I2LWIYtwhLAp8rJxB/gQxkAcCbJvpft/xIAwPZlK/N1Tydv5+88UbRbOWbpAfmyVOdeS8ZPb6K0wP8Yyfrw3oYvJltTKnVsafuwkoh8AH+tYh7KWjrnhqbvV0kv44rePGDQDI+06iOWvb8jIRZpV6z6tRyL7xUt1NiOpIhqYcSgmr2T4HOfaFVVAuGLIp7i+76sbmDwXXeu222xuv1MMF/CGgX59qTPPgvgs/Tvngq8JswPyIM5IWEuwyqFPOYa5oxCUKv7plV50CZxYjae2iRPwAq0iZ3Y9rb4eVCR2b3tY3XnNre3ufbT/ulc9xgqmtRzCmDZbLWkADIDWdP0zHLvWrZ/LiO1gSqtiJsce2MsXOyXbzLZKOYFdmG+7udUHZwfyo+vvQYAcPbKv8vXfbvtGfslC7PMy33HPAv/WssLavZ2Q84bqJL4qdt/li+/avQYAMCTVZ8Kt27Ce8jINVpW98IXTqVjq1JBUOnbXTcWN+1W9+ctjJyvCbNZYdY8Ccb3gtw2sbp6Zba5YNtbRX6tVdpm5ruVRhScOkob5ZDtuH94X7Kej6lVLeffjWZrEKQtKiOXakQq3ysinlZzCnPm4ZwwPyAP5oSEuYyBZ849yrd7qr4tCN7KjoUym+Z4lMQW2dxbk5nym5yZiGYNGWPOakpRkN1UNOMJZOUmS7FjhsTMOU8p4vQ62pc2CuC2iuybGchCYkWbHFvkithc40+M8dnmk42LRIrNwhJOlZP48ttXvQd724z5vefGD+WfH3PE+/Ll/xjJYspL256NHk6deU89O4fjm779m3c7Il8+tpWt37/qY+o/X+hZ8s8bGYuesMWYPGOEZMaGxDuSyhWkpNGi9PEWSpVcrBRpCEyuaP+asVHMNkDS6moR+XXFHYtHjIHgxO2X12n2o1rsOba9NpKNxsTd6E+TrwNUeCBiKVpWSKNXdNoD/nDG1NW3AV2+napv78KQB3NCwlzGwDNn9CDfRo/VtzUDF3lD1ynBvqNIW3mmWot9BRWxFUtQS2wxZl0os+mdCEPQ4tfMtqWic1AZuUrLEnNvkR1kzQtacvtTSvfn4zdMq7D/UYpdyvqvbvcyaK6ILWWk2BSfbT7FuIhl2Cws4WwMiS8zWz7p9rPy5XOO/jMAwEPExiZqPub8hGP5w8Tyj4Q/1kPV7Lx/Y5xKS1GRgZXVLK5+cXtdvo4l+nKtalXf5mElW4PvJY7NbjXZvtgwizNDhOVq9zJAUn3bydsSy4bQGG1gqCXzLpztwPamKFp2MrRskE6QpSTGS8V7FfC/lzLb3TJ5dvC7M8rv3fQ3vWIQUun6Kt9O1bcTeOIvYWpooZaEHYP5YHwETE++zdW3/9IpCT8K4E+0HbN8e7/FB2LZghVqmSmOt3JsTQxWmEnErAcFgWm7eysHxTm5xA6dW1s5Fn9XK4kVxM5QLCqqFg21epxZ2ARbZ2ojM+6fTVTmSs6V7SZvm/APUim6KiWkAG+KD3ibz8XkOicybCDMXZZsDIktA54tA8B3b/kMAODmo/8qX/cFOq8lley4t1rP3K9+/LZ8+XeWZUV4vlv3n/9qszeBkiLAzx07KF/3i6YfwMk14uuz1RYzOBhbO8VivczwFlN5sTz/nG7FihLzrcI/oDnmzKMvq4z+tPkHLTealzWrXEDPBtGyJWKl3vLsI87wUOwU+L5nSF/wiyr2G4zFxXtBZwCYc1/l2wDeix6rbx+3128lGjEPIA/mhHIk5tw9+vlgBoBOe+7btfZdvm2Mkerb38U0qm9PlZPcCWK7RTbJ4NiWsMxxq2d7yAU3MPmbXVM3cRsClq58V2O7vH3ACijLpObYBheQbVOcTXJqA1WiYuwf2Kfyd13cnvN9uX2S+8tFV7mMFBvji9VnRfm9vHrravxoz2cBCLMxOL4sjPmYW87N1/38aF8ea3E7a/cPRnwcebjmG7OHY+9byUB/gkpOSb8soWyMP3IG/gBwKZn4C7R7qRaY8XhmLWY+zLy1+6JqKrmykLM1Oqb4UK5RnJav4bA7B2bWWsZRrGSXNqLTlK9BnFqJKYfwx9KMi/g3mOeM0+esoOTfi5xDLEOjn0Ve51Oec9fybfRYfXtnIjbkSiiCPZg1yIM5IZR8J0yNMmbc7+rb8yFbA8C05dv3IVXfTkhImMOYLzHnHQJt+KMauEQMVgSc8qSltwUiEXesenXqBH7AD0Vjw0Nt/1qIg4e3nH4kqXY8GcPHkn01IzJaTSSjCRdiZlEyYXll68F8HVfElhp/XLGEPZjFuOj/TjTwYicOYWEJp8rJ5B+HMl57i6/0fcfKMwAAnXE/IXnb4v3z5SNchfGtVd+YX1tyYL4svbaq6ft6mK7Vbw3tBQC4rvlIvm6EK7xLbUoWS1AIRe6RZpv8omn0pYXItrT85Kj86via8aQ031eSohdca1rOQwGR66pVrW4Goa/iNiNKCmYwYcfmYDLhF0mVk76oVCnFlNovfcTtDCYfFZ/zfmAQUunmzMM5YX7gxaTaS0iYqxj4mPNU8m1kKXCS37TOWvtK9/lbAZwB4EAAy621XYlQtOrAwhbL7AiZrdpISo7fhiZWKsXPWdAyHeSMW5msAfSUphGlkkfMDKfM2lGYCzO4JZTelVesiCRu5sye2NzNDc8spSL2Juqep8iGU9L2vtK+D2+r7A/Ay7ABLywBfKqcTPwBni0DwLNv/DgAYA1VXVk/4U2cJkaWu3Px/fNw06f1ybXYVvPMf4yI3W5OMHNyzYtwvtL0ghWpHs33DzO3JS7tcIKuFUu1pTYhj5xGbDEFk9myUerqAZ5l8u9DG71pZkOAZ+c8CTekTD5q9xLg77vYfSvHCuoK8m/ZnQqnuAZVUVxbYulzs4V2Z+5na8yk+vZ2a+0x7u+V9PmPALwYwH39a2bCoEAezAkJcxnWdv+3s9CzfDu2gbX2JmD61bfl+4FZjHtDTycfVLMPZYbCxv1anLYSpL8RY9c+V0oyVSIMR4v/ailRsW1kPbPpbZTelYtUIrXoNGtH3r/EV5lhMQv/mks/44rYXONPjPGvxFNY4Uye2LiIpdgiLuFUOY4vC2N+BdUovHzVX+fLx49n5z1GI4P6yIp8uen6dbem76tfDfn78T6Tbf+ChhfknF7xqXaf6WTnyqMI7rdtjkXz/dOiIgjDbj1LxgMbT9eU8bYeR9WYY7Wqm/EvcLFwrngNpUJ8IGxh2b+7xgu5jiannkphAGpTU0sXpZ+oZpvL6YMse5fjl9UQ1EbWM8EgTAj2JN+22dUdMcasNsZcb4z5vVluZ8KAQB7MCQlzGdaarv92FnqVbwPAM6y1Dxhjngngu8aY26y198R2ooHl2/sseib2WLBnHq8DymdoVeEFITd9UTI0gPI4b2Amg6KZPrMRzdpRqwjN0AQzsfi6xObYepFzP+tKTFurFN6O2Wi6zZiBBZaprn0XN/wl5orYXEZKjPHZ5pONi0SKzcISzsaQ+DKz5QtXfyRffsPKzNJlT4p5nzzumd9GxzI/X/Nx6idJ3CPlt57Y/bB83WLK8tm2PWNunQqJQaivN7v4+iIy++cRm/RhEHOm7WWUOFyp5+w6sPGkEYvI7bXSV4C/h7T7GvBm/CyiGVJGBGzcxJDz5vMbpYwjHukKglGiuwW1+x/Qy1ixcZIWn+8HBp45O1wO4EUs3wYAa+0D7v9rAHwfwLHTPbi19gJr7Spr7ao9FiR/pPkArliSMDU47JGwY2Gn8dcNjDEnGWN+aYy52xgTLXZtjPkDY4w1xpT6HPQk3zbG7AZgm7V2whizDMBzAJzT5Xmo0EyO5K3KcVR+U4vlY1D0VWGerRK5aMxcJShdr8QBOa5eQ5G5MvK2dJR4HSHIMeXZ/LwoqD6rvanlmWG+vcLyF7IpPO1fpOLMwDTp7pKqZ8DrmpvyZSm6+oKRw7DcSb3FFFa0BGUAACAASURBVB/wNp+ANy7ag0yUJHcZ8NkYElsGPFsGgItu/CgA4OuUzfHtEX+uE8hGXO/c7g34H6p5W/Hrl2Xpfr897u+rJ2r+Whw0kuVM70F52he1/Pz2iFLaie9RybXnnPvA+N/dI6OVoZz5cjYDM8/HGlkfL6L4ulZw4smmN4FaUi+aMHFbxmlEKtdbK3IBUJkrihNzzFqThzNk9MvH5/tOYt3BKJKtdtl8rI8Wcf3M1jDGVAH8K4CXAFgP4AZjzBXW2jsnfW8RgHcA+Ek3++22hV8EcLT7PwAcBmC1MeYWAJJud6drwNtd1e19AdxqjLmwy2MkzAMsN1PXOkzwiAk3Eoro54MZyKJ43f51geMB3G2tXWOtbQD4EoCTle99CMA/AZjaAtGhJ/m2tfbHAI6MfPc8AOd1s1+GZrYvaHRavqSUYspdNZWckfJbWdhI1VRytsCsI7BxRNG6kN/aubVjJHaW75MNaJiZSjkhtmOk2KJaqJPendJ+ZjjRoqC5ATq137V7a2s7am4fvE1uAmVMzrY0M52tdiJnTrz9vY0svnsvgCUuFstlpNgYX6w+2biI1X6Sv8zZGBxfFsb8csrmaB3pi8lucGq01TQ3ucb4EMI6V0Tg/Drw3ErGqPdr8Xez386aqu+DY6o+7HbzRJb/PWE7QfxYw7jNrltQusldC6PMWQAhcx51zFK7VwF/Xwb3hZIFpKn6AH+Pxwy/cpbdaeaxYD4+3+PSbo6Z5yW92uN5/Jy3576QdsXyv4OR7Axhp7EvnhtzuMA5agr2AcBuWusB/PqkfRwHYD9r7deNMX+NLjAQCsGyOmKx+muC8ZKJxTIP6EGC7iLmUVO8ehnNEhMotRo0YQlNks11yIM5hjIznrJ0UXkwzwdo1U0YsRqHAvYR11B23/bzwQwAnWnkL7O1cS9w5fr+GcBp09luIB7OCQkJCf1Ep78P+wcA7Ef/3tetEywCcASA77sX+goAVxhjXmmtXR3b6WzItw2ADwP4IwBtAOe7UMeUmCqsEfNIzuXbPKGnpMjEJjs0xhwzHpI3d6yKRF7PMDKxI9+1ipcvtyt2rpK4H3j90lBajqVNeAJAo1M8v1jF4/yc6FgycdQgP20eKsvxt3YaeKKZVU3hithc40+qlrAHMxsXiRSbhSWcKieTfxzKOPk2X+n73hPfAgD4221+EupRsu/8+ZYslW6/3bzf9KN13xdSvZtHAa+Al4J/c2JDtv2oTyVkPEUVaARaBXmtijWg+zHHqsKb3KRJT6XTYrXavrh9oWBGjJX0Op25OEoRfwF+oplDFcOKsVJZCmgslbBXtPv7cL4BwMHGmAOQPZRfA+AU+dBauwnAMvm3Meb7AN411YMZmFn17T+x1h6jbHMasrfIodbajjEmOeHsQpAHc0LCXMZ0Ys6l+7K25TyFrkYmJr7IWnuHMeaDAFZba6/oZb99l28D+AsAp7jK27DWdlXxMxd5KKlmsfpoGrQJwyaxQi0Bv6xNDI1NTl6vbS9zc8yWmA2MOLMd/pwT/6uVYg1CZrvSLzE2psnDtYoXfEwtDhizRJV+3aO+KE/rEwYK+IrYgK/6EU640jHEkpPaspHky5Iqt4FsKIUtA8AB1/4bAGARiVi8hZPeV4uUSTZmew9XmflljPw0442T/r3j54MWO8atMehs++xal7FlwAta+PPNJKiR1MjgWiv3rVabc/J+Bdp1D9LvKP4s+9UmpLldwX2lzFto9zJvPxvZGv2EtfYqAFdNWveByHef380+Z0O+fSCAV7vPvmGMOTi2f2PM6e57qx/f9nA37U2Y49DyrRMS5hr6nEo3KzBls+/GmNcB+F1r7WuNMTcDeKMr8roPy7cBvMhae48r9Pr31tpzjTG/D+Cd1toTyxpy9IrftIBukxmzzhRm2lHe1ABJQ5UYVvC50dkqG7RoqXrMFrRSVxWFxTYj8m9t5r9shlorDBBL2pf2cTtbQfpWxqb4nFkQI6leLMBg5sz73a2WxXJZeMHX8NB6Fn7jGn9sjL/NXcLd2n6bz9c25MvvnMhi2atH/DY3wluGLnL7vYAk31zp+/J6xjZfvN2ztXupcMAWd/wx+mV+qeJHAcsr2fZ8L220PlXv8VYW3+Z7samkTbJCMDYK06xg+RrJd7kIw9K6j6WL4IVl+Qspc2LcrWe2qh0rZoavWZLyecs9ohXBYGhmSZP3xbjl4R/PKC7x9T1f23W+xssf+eJO0XrPhnx7PXz17a8BOKqfDU6Y25AHc0LCXEbHdP+3szAb8u3LALwAmR7heQDu6qYhWrZGWbxJMzbSMiRMkMBfZLNhNWL9herN9PX2l7F4WR9IzXlnbjEoXcTxYXeu/LnGZkZJEt1SpN58/FpJ/J3ZkFhTcvXuBsefnUhkU3sbltcyZst9wSzxF82s/gJXxOYyUmKMzzafbFwkUmwWlnA2hsSXmS1rlb7Xk03mfTV//OOdYKZJfbLJ+vjxM6vZ+f2i5dn8droW+9QWAwCe6vj2baX7Su6VseqIKt/mfmu0hTn7/S+gdgsj3d728m3ua4kv829knFi0sNQJq8d8xS4hZjUr92UsT1m20wz8+fNQmKLnh5cJwKaDPmdrzAp6rb59GIBPG2M6yNh3Lt8GcDaA/zLGvBPAFgBv6mN7E+Y45MGcUI4k3+4e/XwwAzs3ltwtZkO+vRHAy6fbEIm58azwkKJm49ic/y5JY0tiv8xGtdhXrICr7IPf8GXKRM2EibcPYsbu5iuLnzcjmSvCgILYoS3mrnLpKu1Ym6kQKcf+hoecPWvA/IvGTI+3tqjXTYv1X9r0GQ5SdBXwZaTEFB/wNp+ANy5aR2xRcpcB3weXL/WSa62Y7JmrvHHSGuuZ+T71zPh/AyUG3fWk1xS8fkmWefL9hjd+enLCx7xHFmXn/0KSfF9j/YR3Lrk2Nc9yaeDCD6I96tnLLmafK/fQWM3Hkbe2im532ogU8Iw3Nlchv7eY/FtGcnwvBPcVWSho+/f58WRpSveP/73X+5rr3NkBpbBmiqQQTOgrtAdzgo5kGdo9+i1C2YnVp7pG+iUlJCTschj4sEaJfPsfAVyITA1oAbzMWru21+rbAq5lpr0tuWIDT4wINEeuWKhEKb6NaiRBX6vEoIUoeJ9B2ESZ8NRijkFqozL0iqVcyYSf5hIG+PSoDnQGIp9z/3CNuw3OL5gr1QQyXxIRichkhFLlxHsb0Ifo1zW9TESqYnONP65aIj7Mdwx74yKWYkuIhVPlePJPwhlnrvaudj894t358kNu8m7vpu/L45Y+M1++tpKFQJ6zwE9oPjjiwyKHV7J6iUNkJfCs+m758l3NbCJRu3+BUOKvud7xNZbQGn9eJW/qp1yYaqSqi0QkdMXXiieS5UhBKESraq+EuGLoKGFInujm36vIv/sdc24NQFhjJtW3PwfgI9baw5D5mYoSMFXf3oVRK3EvS0iYC+h3JZTZQK/y7ScA1Ky11wBZup1s0Gv1bc13Vkt1K5NvByZIildtmDZnCusYgWBEmCmxVS1FL1YpXJhFLC1QGAynEbE4RpgRswrN4zdmIKNVdGbhgjCTBeSxPEJdLSlVsaoycl3atuNTGImtDXN1ZZuNfvi6cKXrrzTXAQgrYnONP6lawh7MbFwkUux7iUFyqpxM/jFbPv52X8jnU8dmk4cj1rd5KfWLXOM94du02fjGPKPtJjTJo3orjZKe4SqR39fyE4pNYp6aYKMZGRG13Egodl8udiMdFqHwdWdGLeB9yXe17wF+dBXzFs9Hh/Sz4PbLb6wSmZCcLezM/OVu0ZN8G8DBADYaY75qjLnJGPMRV6plWmD59mNJvj0vUKY4TUiYCxgE+Xav1bcPAHAiMlXgOgCXIHOj+/fpHJxNrFftdWLhVy3MLGbmI3HSmMQztzNUYmgA0OoUK2ZbemuPKNUt2EBdS9GLGcxoUnSGMIehSlGaC/i+0OK8vL4SqSRetcU+MhVi1nbqihgi49WqLWft9ucqo4Ctihgihgax8FEX//wMmQlJRWzA1/hbQ6l2bLIkbPNPqt5i93iqxCKpcg9RbFfYMgD8+U1Zqt2m170+X/dvt/jr+urhAwAAlzd9et049UtjKDvWm7aP5etuHfHLgjXYqG7Poy8xURrmmCzdg8I8xyo+Ps8jGmHcfI9vI3FMFcOFY/J35R6JWZZKCh/fF3xfanF1LcVUu9din/cDg0AhepVvrwdws6uZ1UKmCjxuFtuZMCDoJOacMACYt/JtZObSS40xy621jwF4IYApjaPLIG/ugA26d0csQV6rK6gZeWtxZt6ej8lx5jLTcmaZdaUtVmEjmuk6oM9w66ME6gtlhjz2tpXzjpnx521m4U3Q785G0xaPyagY4/vVFvuawWysTp/7DAJi4xV/XKmKfS9ZhrIxvvQLGxexFFvEJZyNwfFlYcxL/us/8nXDR70hX97sMghWVD0bfsB6EcqoazdnBExwhoJj7M+vr8BNnYw9n1TzIpxLJ+7129ni6JAzK7ZhovA5Z8No1bODCveurzpUtylWp1IQ2Ma6mLRWlxDw9xPH0Td1fGaL/MZjtTelrc0Swdd0MQjazJ6qb1tr2wDeBeA7xpjbkKkHPwOk6tu7Oso8shM85MGcsONhTfd/OwullqE7CketOMECug1nzCBe3vCxt25ZnFc+jxorRQzQp0LM+lDaoMVmAT0bhHM/JUWNmbdVmD2zmiCn263nbI+YpFc7F2G5Wh45AGwg46Hd6kVnOmZOW13Ms6UYKwGe+fH++b6Qz48Z9vLoY9o+5irG+De0vTHRJjK+v2tzFivm3GXOxrhn4onCMa+99SJ/LntnDrgf2/MF+bojGz6Oe+lo1u7rJx7M1/1ik5eXj9T8fl+ze2bm+BhZjj4bvv+uaGSZK5wTv4hGCZKFERuRlcmn5ffC2/M9JPdYzPhIYs1swK+NbnkbzQo3ZuYfC5Pd/sj1M3ps/tt+f9z1g+8t9//nTnlEJ4VgQl+hPZgTdMiDOWHHY+AVgjsS8rYuMxNigxd5a/MWGltkcExZ1HZ1U83Xx2aNKwrLZsGFtJsZomaTqLEKRozNiiERszlmOLLMs+NsAmUqks2hx+9zhgSdYQmYyXBMXvpqvNPMGTFvv5XsPeW8OBuG45RLXG7uNmJTm4n5iuH/zRNeVShFVwFfRuqEhfvn68TmE/DGRaL0m3wuko0hsWXAs2UA2P5gVqXt+CP+JF/3CzJm+o36IQCAFw370lxv2OMZdCyHNnBxO2PGy2s+fn3xtnX58svHskJCPyYWzjFlYbwjSrFfwGdmhJacxd/AGBnwM4TRBqWzKDNDrjuP4vg3YJQRoVXuIf6tBZkfyhxRPzA34gVTY8qzNcZ8zxjz0knrzjDGnG+Mebox5lvGmJ8bY+50AhWYDGcZY+5yn7199prfH/TbVGVXRr9ltvMZ8mBOKEe/5zLmQ7bGVNW3PwfgLGvtNcaYMXhCcBpS9e2EhIQ5jEHI1ui7fBs9Vt+W4ZXGYnnIxEMebRtmbhICiFX2lckUHqqPROoC5n7MXB+to6TdlUwuavXVJrdLwJMkS135p1BAQCEQN+xsKm0GfB9oqYaAHgKqwbdJ60vepkUTR/LdLS0vEtGEBbyvZtv3xYT7nCdEeRJM0KD7Yr/R5fmyVMX+AfwkJVctER9mNi5iKbaISzhVjif/JJzx09s/n6/7NIlYntXIzusf4D2/Lm/4zAwJEZyF/fN1t9P1fz2ZJH28+RCAUH799CFv+PR4OztH7ktNUMLiJL7H5bfzJHlTc4UcmZxr0fXRQhxBHU6lmpBmHwD4e5h/11oqX79T6QY+rNGjfLun6ttJvj0/MKyoKhMS5hrmQ1gDmL58exjAuLV2lau+fZH7bgEs3z52xXNs23bUitTMAPkNKwyAmUJFSZBnhsmfy4MkZhrDzFhjvswG2Phn8jZA98q50IbUb5NXSgksRelYnU7hcy39jxkWp69pKVUMqeIcCGt4/64pPNmzmOxF2ep1savGEqtenpssVfS0RDmv2Ivg353se1nFZ45wjT+pWsI2n2xcJFJqFpYcSal6MvnHbPnNTvINAOeuzNZvbvhzfmjbk/my9NHtyw7M1/2KpOgrSIqtpcodWF2cLz/S2ozJ0FJAuW4gj9KkD/cY8vvkIgBiERurkCP719I6Af97iaV4ym+M0+dCUVi2L81KYSYYhGyN2ZBvp+rbCQkJcxrzwTK0F/l2T9W3NR9grfJvyFzFUtSzCn4jarHNgJm6NzSzEn6DB9WzFeYbyFhtkaXz9sZd5nrEvE/YfyBV7xTj5zHJN6cvdYuWIlXn9nEqoDYyYJbMcX+JL2u14gAfF9fk6YBna2z2wzFX7VyfolQ7MQt6vOVjzlIRG/A1/sQUH/A2n4A3Lhql41865NsqqXISWwY8WwaAv7oxY9G3r3xXvm5sKReRyPrl5JqPg9+11belSSOmvevZ+jYVzv2d7TSXMJrJvm9p+KmdDvW79OvSqq8duZlGMXXld6eNSDRhCuAtQ1t0r4xSOqewZL6+mggmNorKj99nc/zWAESde6q+ba1tG2NEvm0A3Agn30aqvr1Lgyf+EhLmKub+o7nH6ttu3TVQQha9Vt+W2JNWDorBzE5iY5rBEKBbijIDkNgWP1D4rR2rZC3QBCvM0oNjuUWOj08oUuqYMZF8t0xqHsTzaF95leTI9sJ8uX95FCDnX8ZgeE6Al4M8Vbf4FMUxtSwWjn3yuQhzZutMhrBoFuQ8RVkuUhWby0ixMb5YfbJx0YeMty8VcQlnY3B8WRjzf9z40Xzd547xzPoJd4n+pwV8u5Pt49gRf1/8tPVYvvyuiWUAgI1U5utTwz7z4+FGFhc/teozT77Q8VamFWcVu7Ht4+vMore7PuR7XRM/xSxD5be3iKq68+9RvssxY81CQKt0D/gspH7nzw9CzHnOKAQTEnY1yIM5YcdjECqh9Frg9c0AuK77oQBeY629rNcCrxJzNsRmJhRmxMxTy0YIjHkqU7NFQUxSXVFmmMvsSWOxOWEesdxmiSVzPme9UmyLZgDE28fOq6TmZo6YTWodxdhkA0UGBZDlZ1WXmktb+fMtxKJHbLa+GsnNFRtNvtZanJJHAVspjnuNzdI2uegql5ESY3y2+fzFY16eLVJszl3mbAyJLzNbPvVmn83xwIvfDAB4FYA/fCRj3Gsoc+aWTWvz5fVLMpbPM/ebO56lr92aSdgXLPLM+f/affLlC0yWJz0OvUhCPrqsFEcugJd1x2wNbF5ebep7ge8/bZQUzO9wkQi3Yc1U+1plJ1ZOrlcYY04C8AkAVQAXWmvPnvT5XyIL8bYAPAbgDdba+6baZ68FXt9srT3GWnsMssnAbQC+5T5PBV53YSSz/e4hD+aEcvTbPbOf2RpO4/GvyPQghwN4rTHm8ElfuwnAKmvtUcjEfeegBL0qBK+l7/whgG9Ym1XN7LnAK4pm9fJD5zg0syEt9zjIU1YyKPgNL8y6ClOabdHRlIs93DAxlp4X0ozkc8qbnstoaZaiDGbmsn3MOlL6nftXK4PF+2IFYc6M6bIHZbKUfg2UZJwy7fqVqmgF11WyEbQCvIAfXdQjJljS/ruaPltCiq4yOGuCbT6l1wIlW5C5kn3jIjyIk2t7A/BsGQD2+fanAQDXAfjNo04rHHeo6vfbds0e5sEf9cv2ZsO1lT4nyvUqk2VzXNC+J19XV+LL/Bvj0Zu0hZmmVjaO7yXOKdfmQhg811KmFYipDHtBn7M1jgdwt7V2DQAYY74E4GQAd8oXrLXfo+9fD+CPy3bak0LQhk+l18Cn2A0kkllP9+j3cHA+Qx7MMWgP5l0Vmn0Bo58PZmB6zJmVzO7v9Em72wfA/fTv9W5dDG8E8I2yNvaqEASyRu8F4EiExkhdw53k6QBwwJKD8bQFU9/MCQkJCf3AdLI1WMk8Uxhj/hjAKmQakCnRzcP5cgAfm6QQFLwKwNesjeQ0lYBP+qgVJ9htnYlgyCQJ8ryOU9okpUrzTQbIVIUEDJxeJUMmTvliX1veTquq0iBvKxmKB4IZxRuZY7I1U5xw5OGlZsjE5xp8t1NktEE9wzxEpDNfCZEwM+ZjLXSSYg7vVILJz6l9d5tBimCxDRyikfMSgQNQLgnWhtrbItW/JW2T74X7Wt74R6piL6F7gY3xL3bVSQLjIpJii7jkjIafC/8yxZeNY8w/vvWz+brrjvibfPmvFhyWL3/Apetth++Ld7V8BZhrn5YZPn2+6f2egzqYrt9OHfLt+0Jzbb7M/S5YVCuaTLHQi821tNRXvhYSYuJroU0Ox+Tdct9qYbuZoM8jwAeQOXEK9nXrAhhjXgzgfQCeZ62dmPz5ZJTKt53j3GSFoOC1yrqEXRiphmDCIKDP8u0bABxsjDnAGDOELMJwBX/BGHMsgE8DeGW3Tp09KQTdwfZH9rb4waRGvB2Z3/MKZAVer7LWlqoE5Q1eJvaIpdwINOtLfhNr+wpEKHR8TVIaS9ZvoViFuKkcK1ZrTYupBVWSXXXoWDZELnKhz4NzdalSMZMobZ0muWaw8RFbUkofsHGUxlyZDQW1H5WqmtqIhK+VNtEZE9RolKRJxxfjI66Ifbv1UnCpWsI2n2xcJFJsFpZwqpyA2fIJt/9TvvyJ43wK3m+ZjMVuIJHMFutP4AHn1nt0fVm+7inql002O5c7K759zx7yFut3OyvVYEKTrvWI+21ok4SA72se5fC1lhHfhiYZllEKpZ/8pVGYUimlrELSdNFPEYq1tuVSiK9Glkp3kbX2DmPMBwGsttZeAeAjAMYA/Leb3F5nrX3lVPudiUJwLZSgt7X2PADndbPfhPmHWDHdhIS5hFh4r1dYa68CcNWkdR+g5RdPd59zRiE4rlRclh96mF6HwudhXTv/hpW3diDsUBLgefuYGc/kY/L2gB5TZgYhghGOc7ZQFKTERCrCMsUadPKxtONrpuoxqbtWnVsT3ATCD2JoWpEDRlAdWqmnqFX1ZjalyeprSlol4Ps9ZkAvbbWUKsdmSvLdSyfuzdf9gasrCPgaf2yKzzafkoLHMmwWlgjz5Ngys+V3/MwLVp5/dDbofJTM8I8a8tsdbzMWf+7mm/N1E8Ripebm3yw4Ml935mY/bfS+RSsBAJ+jklk87yJWr0upcC/bh8roZMWQT0XkSudPNjNmz3HsR8Z9CuOCWrF2IY8utfS6fmAQso7mzMM5YX4gme0nDALm/qN5duTbBsCHAfwRssLY57tQx5SQN7D2RuMZ5Y7C5mJsUmPjQWzTMTgWOwRsjL7rmaGebymMmN/wmllPjAFoFav5vLWYt5alMkSsQ6uyzOcUWjeG35sMqwiCqhT7ZIYjzDiWRWMdIx42JN8mG0tNsMBs7jHHIjVrSsBn2XD/N9q+LXvUM/vNQNhC95VYjk5Q+69oFCtiSwkpPibgbT7FtAjwMmzAC0t+BuAyl40hsWXAs2UA+P4tFwIAHjrpz/J1f/uYNzH6ZTPb/rIFB+Xr7ml7lvszp165YGJtvu7cBSvz5QttJv8+qO5LX9054eer5L7mOPTuNb//huvjJ1q+Uh3ft3sOLwUQsu19R32/bHVZHMyWgxEhikUe+oH5wJxjBV7fbK39IQAYY3YHcDe8fPs0pAKvuyy0ScYEHZchGR/tLMwHV7ppy7fRY4HXjhJfNsoPXTPqDnKjlVSuWO5wpeQ5wnFOYWFlw/ZYaaqqKX7O+xfmF2P5WuwtKKqpZHFocVhmu1wGS5PCM7sQ5sysKCgMIDFv2PwBHVN9yeexbA5h79WqLrsXe0qtTBi3hfu3QfFnrdgtZ2uIyT/3BZd5+vFEllPMbDkwk3fG+GzzyXelSLFPwTL8OzL2zdkYHF8WxrzXNz+Tr2uu/Mt8WfKH93mm36Zxjz/u+k7GyDc1PdteWKPfkCt1xufPOcl5/D/QGtBci9suyOzheRNFfRtYKLj9NyP3gj+u6Wuuc78nBGcDsyHf7rrAa8L8Q2LO3UMezAnl6LcIxU7jv50FU2beY4x5HYDftda+1hhzM4A3ikrQybdvBbC3qASNMVsA/L219lxX4PWd1lq1wCvLt/dbfODKZQtWBG/grRSHFJbDM/ALKQ6ZszElgwLwb+tYzrMgZgykQTNhAvyNFCuWKm2NHUvYSKzMUxnkhoqZODUVNqMxcm4/x3y1eJ2WbcHHYpYamLUrCrBY3F6DnCOPMjYTS1xUz1i2VmSBjxszkx8xxSLCfA9KzjMXXeUyUp8azgqwss0n450tH/Xb4nLRG/R++07Nn4uw2/+88Z/zdWeuen++/EuX87yV2sdFBsTr41sdn0Xyx53l+bLEwm+p+e33sv66faM19ctEsoM2d/QiCWMu15vLZG0lli73LbNozolmJe+ax2+aEQv40/3/oOun7sVrv7JTGEevBV4Fmny76wKv1toLrLWrrLWrli1YEW1AWSihjK1pD6PZQtkbvqytZZVgylD2pi/rizKDmbKJlLKXAKOMGHT7YI5BHswxlF2rETP1fScP5hjkwRyD9mCOoVlyX8iDOYYyE6Z2yeOn2wdzDGOKCIdRdt/yg7kf6Fjb9d/OwmzIt6XAKzCNAq8JCQkJOwp9lm/PCvou30aPBV6FJWk19GJ1/cTUxRLb09gav5U1D+PAdEeZROP1PKStK5MgzXYxfY0/X0DJ+By2kRDNODEEzcc6lp4mCEUwRRYb82jOhSF0TA5l5JVeIjLb/PxtO0+/qpSEJ2K1HWW/C4ht8XlrJk2G9r/Q9XFQvYNEJnIOPCHJgiA5l22ULapJ+R9ve0n3Iy3PkqUittT3A3zFEsB7MItpEeBl2IAXlgA+VY4n6TiUcebqDwMADjzk5Hzdtpb/7uZGlsJ25hJ/rE+3fVhj7cIsrW298ds8p+mv+1ermQnUsyjV7qaJh/Nl6Rf2cGZIu/k3xlJ/EclMRLYXxjydsF43mA+pdACmLd/uJqfzQQAAIABJREFUqcBrwvwAKyATEuYqBiFbY84oBDX5sizHJmvyNB9F0g34iQVNRs3rx5V1k7+rpZppxjsBS0eRhT/V8hM8YVrdlsLxtfQwjrMGqW4yClDEGABV31ZEOLyv2P41tzlDzFxS9Dq2o1by1uTTob0rsWDHbLn9vC+RBGvpd9zWsBK4Z6bC1rQakAAw5qTYfM6b6LqNKJPTjFsaWfYoV8TmGn9StYRtPtm4iKXYIi7hVLm33e/PRRjzPXddnq978Le9F/w3H83mck7fflu+7vyal3+f2cycLfeu+wnND0+syZdfOXYIAGB107Ptlw57d8zvNLJz2ML3Gl2XpU6wEliGKimYfC/wKEd+A1tJxNIPzBvmnJDQLXbk5GtCQq8YBIOuXuXbzwKwGVn4ogLgGgDvsNZaY8xZAE4FsJu1durpbG6Ie0MGtd5M0U6QoysqGyS7SWE4ZQywTMyQHbVoCq5d4NjsrnyXtw+k2C6OGRfJmMK5hJ8W4/Nl9qpa/J37V5N3MyrU18KGYvUceXRTZmaT3wOR9i9xWRiatSTgKzazWQ8zt60uJlutTV17MlbdvKZYDYTio2z5Cx3vt84VsWVw8gazNz7dyaobsc0nGxeJFJuFJVspvU7iy8yW9/6WL9qx/Ij3F9q30BTvkTqNmFpsrO/OcZgtX+m8jx/KZOk/GPdVmrT4MNdz1Kpvx+oGyohooVIAYCYYBIVgr9W3vwjgOcjS5I4A8GvwZVeuRFbwMCEhYQrIgzlhx8Na2/XfzkKv8u0mgBEAQ8ioVh3AIwBgrb0emH71be0NqrFcZqsSk4zZYOb7ieQWVxQ22ik5vvbW5321IixdjqGzVf1YzKKHnRSYGSCfq2ZYFApL3HG4dJZWYshwHLho2RkzRmJo8mxNih6dC3AjIv5hMPMSE54ywRCPwjQzpacojrmYmJnkFAeZLdRv25zIgvuf9y99VSGp/AXG5wlLRexTq/vhs637AHhTfMDHxAFvXCQybAB4qu0tNyUbQ2LLgGfLAPCK27Nsjrcd/Ip83W11v38xhHq87dn4hnEf035wLNv/VoopP1ChUYiTOHCcOBR/FbN8gnklpfCChiFT66v6dBBizr3Kt69Dlvv8kPu72lr789lsaMJgIMm3u4c8mBPK0e/7qg3b9d/OQk/ybQCbAHwCwKvd164B8G5r7bW03ZaymDPLt1eMPWPl0tHQwE4r/hiLDws45irlp7a0dDvKskkBLbc1YLsKC+Xjs8G4MEPeRmMLsZhx3uaITFpj5kFpJ7fM+9fOn6WzvL0wZm2mffKyxlLLpPCa4VVotlMs7BuL+ebMldqqFYCNSf3lvuLyZdrvhPN12RhpaTWLiW8kNhqDFF7lMlLHtz2zvaC1FkBoXPTmhYfny8eOZ/fV6a1fqOciy2t/dWW+bn9i0f8yfDQA4NZh3z8rJ/z2l45k53Wg9W260frMkaUuF/0g+vzn8G29aXsWd+f4/zD9bre534WWGTUZfI/c8chPZvS0ftnTX9b1U/eqdVcNlHz7/wC43lq7xSkIvwHghOkenOXbkx/MCYMJ7cGcoIMrYidMjX5nVwxCzLlX+fY6AM8zxtSMMXVkk4EprJGQkDAQ6Ezjb2ehV/n2pQBeCOA2ZPLzb1prrwQAY8w5AE4BsMAYsx7AhdbaM8sOIJMggS+uG97EhqeacEUz7tFq6TE0GTMwqQad9gY1xVS7QLhAQ1Gp9MDHr9BQXfYfm+TK6yEGlUym3l6bsIz5ZedOeZWpJwwDxzaaBGKILF0LywD+uoXybw6LFD9n+a+IhmITwcLeOSzFYQdNMMThHJnw0yrZZG3N1vN9xccX1zUJb0yGhIi+0Fybr+OK2FzjT6qWsAfzJ8lVTqTYLCzhVDmZ/ONQBoc4pOrKQcbXQzx/+x358mkjxwIAfkCS75dVfFvvQ3YtLqdKMc8d9mmD76tlIpbzrM9M2UTiIAlN7VbzffVY00vh5brPhmXoXEdP8m1rbRtZqSrtu+8G8O6+tC5h4MB+IQkJcxX9Lhg7GyidENxROHrFbxYaosm3+Y2Xi1BYLKIY8zRLmDWDJ+zqyuQhTy5yypMm5WVmKufCDJDbJWxPGznw58zstfMKKo0T25Dzik2iaeD4sZbqyOBzFUbJk3jBNXTXxUSqa2uTl2WTk9rkXjBhyml5RhnFBCmERY9ohtaXzNI1kyrtXGJVZU6peOb5VVfjj/v9DdgrX15by9rwzaYXvGgWA+/t7JuvO7fqjYukRuGNR70rX/dDslodc4fdp+mP//0Rv/w0m53D4TSJeAMV1P7fViZlf5XxqX5f6vi0wnFbnGjnZ5Kc92TmfMODP5zRJN0L9n1J1w++762/ZqdMCKbZm4S+oszXNyFhLmDgwxo9yreHAHwSwPORxdPfZ639SllD8rpz9IacaBVrvfFbVdhYrGJ2u0RMIIjJu7W0ueBzpS28rkyIU5ZypsWfq7QNMy85bsfocVjZ13SGczwakJjruNUlzYKGbeXtYjatikQivw/57kJyuNOqcwcMUak6w+c/Qe2W6xIz05f7odMpmjUB3kr1Sar1t8f/b+/M4yWpqjv+PW+ZDQZmYcIw7M6wKPuuQkQE/KCJjBBAVIiISjRBIorRyKIfUDajwQ35oBhcUSER0BnEBASURRkYGJaAnwFlCfsswGxv65M/7r1Vp7pvva5+C939un7z6c/Uqzp11+rqc8/9nXMmpYGDYvXXs+Xb5+YHQ6n9NmTFzuw1mG2TEOrTBi6yrtjBuWRZbzoX1r4cNOZ9lv1bcu62fc5Jjnfqr10RbllJx20z35Z+8yzMqaTH87pdPsV5RrM+pSvV/L+G62ts5QUwOE5bcs0Mol8U4+G+fSbwgqruCLyB2njPJSYw7A9GiRKtiokQbL9h923gZGBnAJ+Bu1D+97ADPynCJsgLcJM4dtQJ8GMR05KtppHJDEwt8yGT8TrSFvuLbJ0Y6nk4het5POGgxddzb8842VjtIFJ9vaVdjKGQxwZJMl4zGO1DNglA7V6B1ZaCndTabC3qufqHfuUlaQj3DebY32Pu5UNDtRpcj/khsm71YaWXN1Z2XyA4Kg3k5Gt8uO+FmvLnbZQ6N4XA+DbMpw1cFFyxPzF9dnLOsjF2mbEvkNWWT7/n3OT4M/t+DoCtK2lf75I0icBGva6vexr38nskZSndv8GFFJ0+NQ2Zuo2mz9UHK+78pf3Lk3PaPfyKdSzQce7bIjLDy50nIveKyNUisvk4tb1EC6J0QimO6WMcaa1EcQxppfCnWRhT922cI8qLwLGqeo2IfBLYS1VPzCk7cd/eZpMF+8yZNjeqjdqlckzzzftVDX3LhHOM3B8LUViNcJ/VgOpxby2SXeecYEUx/nUstZO1v8fcm62GatkkIcCM7X9Mm89jc4RVgLVD5wXmDy9oG/goNu6DOauUIJsJHxtp94ackJ4BNiuLDbwfxt2Waa8nzJgcNkmMXx970b5qAitZbdiiK/IM21RlUyLjfuyk7ZLjO9SlkVrQlUZKGDD9ekZdG6Yb+/pcUs112yHXF2tbXjQ17fdFS84H4Ko9Us16vrH/hyfkpsnpWO+3IX1u7pvi+rWjyc/6kKHHr/ScbGtzvr0vZZ5YF/npJm3ZTU//ZlQMiv3nHVxYdf7jM7dOCPftFcA60uzbVwN75xVs3bfnDJN9u0T7oNSci6NrjJfqExnT62TvbhTawL8iEJEjRORREVkuIp+NXJ8sIj/z1//gTcTDou43SVXXeNZGtfv2R0TkApw182DgEs/W+CWOqXEzcCjwcJHOBc0vFqAmoxlHlhl1A+DXGeBu6Ypyoq1mG7S1PAZCjKcc82y0fYnVZc9NjtDS8hgKktisc5IF+LZMskFnjB0zxhm3dVnNLZZYNsOJ9hpzlnMeD5IUENPYbeLejM3aa5O9Ziffat4bIsF0YvsS9tyU7ri3X9ImqZ3rQUObsFpyGJ+8xA1JX3UoeV6tHdoGCQq2aLuKuGEw5QmHxKs2jZQNjB9Cfe7ZMy85Z7393jyYpscKsPbloDG/9/7UDv3NvVMteqZv9t+aNGA3T0m1+NsqK1w7SRPEvnFD2tflk9y4/0JfSM4d37ttcryo4rayKuiYRqYbS/8OEekGvgUcDjwN3C0i16uqffd9CFilqgtE5HjgIlLLQxRFf7qvAvYgfTlfAzyGc9++H7g/uG8DnwG+ICLLgBOBTxWso2loFUecdkDsxWxhTRklhkc7cG1bBWMdMrSCFv4UwP7AclV9XFX7gZ8CC6tkFgLf98fX4KwRw3ZqPNy3nwDeUqTcEiVKlGgGGtnos3tjHper6uXm7y0Bm9bmaeCAqmISGVUdFJGXgdkMw2ZrGQNhzCU2aGl5TiJhgCvEN/ySwEnWFGFk68X9zWS31lp6lnWPHqrUZhG2S9XQlgy9ztQbluL14iJbxOhjeW6wwWxkNzFjnOS8jNlB1tLb7ONtxyW0O88ElM5HfKyTIE828FB3rSOSNWVk3Lu7anMUxkIA5K2YYtnB7f1h89DOjzW7hPIzgZPMvIdyLX1uUndaljWRzPLZq/tzEucu7XOu2DYjtqUIhqwlNgazDVx0yxTXButYYqlypw+5dltTxqn3piaOu3Z1YXR+MSV1+X4PaV1zKo7Ct8JYiu4w5uPVuM3FN5GaV/6gaeCj7Xqcc81jA6sZSzSyavEv4svrCo4xWublXGJioNwQLNEOGGMPwf8DtjZ/b+XPxWSeFpEeYFMcgSIXo3HffgXnvg1wnqr+zF8/FfgEMB+Yo6qFnFASzcdoOyFHoHWG6KeWylYvi3OMpgbpr6fx0mWa0XBiVLZMmyOam9XMu617dYQeZlPgBG3PZrSO5RjMc9xInECMZmupZEGzr4feSLAjSJkFPcQ3uUJb+yoDcVf3TF9cGZYKZ693RTZPY1S3jKt+JBNKJq+dkY2tGDaYjNeBgmjt52vN5mnQgmNtsmXlrWJiz0oenTNozFmX7/R62DS+qf+Z5FzIiA1pjr8Zhu0QwnwCbKHu/s3Mox4cSyBdHc0014O2DPDGBy8G4Ondz07ODXan8/a8H5a3mvC5OpRq2U952bWmf5tLSjuc5J+FD0jq8j0WGGN7/93ADiKyPe4lfDwubLLF9cAHgDuBY4Cbtc5m10jdt5/DUeT2xNlWzhCR4Nx/O3AYUCZI60DEYpeUKNFqqKgW/tSDqg4CpwI34nw9fq6qD4nIuSJypBe7ApgtIsuBTwI1dLtqjNR9ex1wm2/UoGdmHOEbtRQaz769IRJyM0olM1/+oCXm5eWL/TDFwlRa26+lX2UcUryMlbVaZsx9WyNBW6w22BOh6q03WZhtWT2+3t46Gad7MlqXCVMZ0Wb7I8H68+LMDPoVS1bzTxHaMkQluqKx9vcwXb05bU2O6wRGioUhhfS5sSsmqykFLdRqo5ms7kO1Wd3t/kKyCpL4Kie4T083AeQHIq7uFlZznztp0+R4xaCjqNm+zjQhPdf7526NSSZw64Z0byqsHvbuTcOQ2sD4Z6tbjdvARdYV+6bJrl+WKmfty0FjPmbZecm5y/ZK7dOLPe1v96E5ybm3bZouppevdE7FZ0ra5k91bZ/2zz8rWwzEXflHinFIe7UYWFx17hxzvAE4tpEyR+S+jaPPHSEi00RkM+AQsjaXEh2KMvBRiXZAO7hvF/kmBdPGdf7/D6nqPSKyH3AHzl37TrKKVCFYisqW01/H7GmbZ37REtuhsQNbzTamWccGMxNUPZLJ22p1eSmtYr+0ti2hXLtTHuMEZ3iTRtvri9i3eyOpeez9vTlODtVtAmOrN9VnVxzDB5ma6t1/1xsNLeawMkQlGj7V9iXG/LCIuUfXy7TeG2Fj5Ln1h37Z+Ym5xdtVlnXYSbJ/m/CsWVf3yZl2VB+vjzj0WJv1y0MpWyOMlX0WX62kbUnkzP0x5xebEdumkbrb/2/DfNrARe/d4PpiHUssGyPYl622/NGlKZtji92cZt1jXg//uS5lZjw71Y3FUbpdcu6/Je1/tx+fHarc39/J6DARQoZC3H0bVf2Squ6pqofjOFF/arRy6749e1oZH2kiIPYSLRFHPYeeEuOHsXbfHg+MyH3buyvOUNUVIrI7Lq7zb0bTkBj3dcD/2loNKvaLl7fpKYmddvgXhg2EnjlfJ/ZBLGVUnstuvUkOX1Tb16wre+31GJvEmhVs/SknPM4ZD1p8xqZs7u+LBHaKsUVUNSl3IMeAnQSz19pVkm9EzXX7HuuLcMKte3WawDXuih7btIyxXGIMC4jvp9jriXt3znNr2x00djuWKwdS++7mk51Ntidn3oNGP6Mndfm2CIlzl65PmV0h6SrAd7scTzoExYc0zCfA66csAFI3bEi5y5CyMRYbl/KgLQMsfMDZos/Z96zk3F2DzyfHqwedlv5Nk3rrJ5XUJh7Gcgmw0+SUnz1aaBPNFUUxUvftXuB3IvIwjpx9gt8cRERO81m3twKWich3x7jNJVoYYx13dyIjZpYrEcdYvphhzN23xwUtk+B1r7kHKsSTdtqHOBayMuY1CNnd+FjgIdv3oPnaHfhYqNJY6iZ7vZEwmBaxh8DKBjaL1bDsWAXZvGS3SZty+m81xzDeca++tFzL87XjFu7PKz9okRmbeSSIkR2TvFCtsftD+bEA/nn3W1t60JxtGqtXjB04FkQ/zxsyllPR9itovnbfw4Z6je0lzOlNtdzAg7Y28Vhi4rwV3Undbh9/nkngesOU9Bk/rM894/ZJWtGd/rVHxWm+K4fS74Id3d9OTcfq3CVfBOA3u5yZnHtkctquh7qct+AcTBAqU/Oefenxsc/+eFQ2oW1m7Vb4xffkygfKBK/jhXq2vTwnlU5EPW2uHkWyk7TBek5K9ZLd2hfqREd4MechvJjzYF/MY4FmsjCKoiNeziVKlChh0Q5sjfFw3xbgizjC9RDwbVX9etEGxX7RMhszETO51eYyLtX+OEOJq2PKsFq2XQrHYvTWyyEYs+j35MSeCP3uizjjQJqJOhsjuZb2ltnwo1bWbujFHH/y4jaHEbTu5bEgSf2VwTRTeB37s50XSwUL5hJLobQIJgw717EM7bEgWhDfHI0t+1+upJQyW1fMFJjJN+jv35ATTzrWJhtP+vkNq5LjraY62lmGSmcykQS3+sx3IGJ2mWz697IxR/1U3EaezYhtc/yFrCU2BrMNXBRcsa1jiaXKhc0/a8p4+0NfSo63P+DjAFy9fm1y7pyhNPHGWr9ZPyOSXX00aIdwrfU058BxvtGcOx6X+eQgnPv2ZOAWEblBVV8BTsI5pOysqhURGVtLfomWRjssF0uUaJW9tuEw5u7bwMeA9/nM26iaFAfDILYhFrTQfmrdkCHVoETj2mS4nufmGwt81GVMW9GMzTmZUqrlAHpNgJqw4ZMJCWppb76tecutRMs3fa23kxzTrMUGGIqsGPLy9gVkct3laPkplc3UH6GlZTZPIyE/Lb3OjltYRdRzic5rd5hXG7JzINKWvDghSSYVm53dhoelduUQ62tXTqaXaWZDMARcysuAEzYPbf8zdEvfrnUm2JGd1w1+dfg1UvpayIgN8Ei3uy9kLIE0zCekgYuCGzakjiWQUuXsxl/QlgF2+MM3AHhx52OSc3Onpu7rawac6v54z9imqZqw2bcZ3n17PvAeEVkiIjeIyA555YvIKV5uyYp1z+eJlWgjlFS6Eu2AoUql8KdZGFH2be++fSbOrvwi8AJwt6peIiJrgM+r6ldE5GjgdFX963oN2WPum2saErNdasSOGKN5QZzmFAu8n5dFup6spW8Fzdi6Kce04Hr0sUyYTEPvirn5xrQla3vtj9jpcjOVR1yaM2E+iYREzRm30C7b1pgWn6HqRbTIvLGKwbY7ydpu6o8FzIqtXGxZMSojxEOG2nmPUQljmloeVdHWFcq1VDs7L7HEBhmHG39sn4WZJiBTyDFo77cskkOnbgfAg4Mrk3Nv6kltyiHU5y0m2NJRk7dL7+9zZV1hvK8f7k/t0y/2u8D+jzxyTXJui9cdkRyvH3TtO2yzXbG47slfjYq+MXPjBYVV51VrljeFSjce7ttPk2bf/gXOe7BEh6C0OZdoB7SDE8p4uG9fizNz/BmXlbtQzI1YsJmY5hz78se0ZYhre7FXh9VULDfVng+aXcaN12gbQYPpypyrzbRt22oD18f6ktnN9+3K4xkHLTMvaHt4yPLCdMZQLzazDUCfcd7xY5Gb/TqkmcqZ11DW2oxjRW3gJDuvdtyDTbmSYeakbQnts/ObDVw0qaZ8W38sTVUmyFQkY3ZsZWHLyAsSFfpg61ozWMsJziQWiHxH7LkXB9I0UOE++9xrd9qW2/uc27fNiG3TSIXA+DbMpw1cFFyxF7IgOWfZGMG+bLXlZx//ddrWIz8EwKInU5v2WGAibAgGXIXTgkPg/eC+DY5Sl7hvAxcCPxaR04E1wIfHrrklWh1lmqriKMeqeWh7nnNAJPv2BuANObKrSfnPhZGwESK2s7wAMrHUT1bbTLRMG6UzosFYra+et2CeS3F1mVDFvY3YWa0WG+qNsUlsvUPG9pjRzCIKdTawUS231yK18w4fBMqOv+XmhvMV1egqw97XFdH+Y+di5UM6r5LDXKm3KZmsMiRugqn33IW22vkZiGir3Rmbd+2KsL8ymLQll3NNbZJiOy5Bi7f31Av0FQuONZi3l+DDoi6qpBv2IekqpGmk1psh746sKK0b9lqzogxsjGBbhlRbBphz/RWA4+cu2jUNnjRaTASec4kSDSH2ki0RR72XaIkUY/lihuI5NZuJ8uVcokSJjkOpOTeA2FI0LCszTiTUmg3yTAFqltqxeoIJJJMrztSVXdb6c3USvuQ5C6SOB6ls1PEmx+U49CWPNphkGs8sT6mRtffHov3lRQAMkc56zSNjnThC7sPuyCana0AtVS2vrqTOHCpdYo6KxNO21yflZBIf0FqzhUW439LXYvS0vAw6YazzIhSG1YXNd5lxYonEAbdu/y/3p27l4buxdjDdhNuoJ80BGCLr2We8J5Jhx8L2daNIBL/HBlYnxyErts3xZ7OWvOpDfdrARdYVOziXWKqc3fyb4zXmv3lw+MBJjWIibQiWKFGixIRBO7ycUdWW+QCnNFO20+tvp7Y2u/52amuz6x+vtk70T9MbUDUxS5op2+n1t1Nbm11/O7W12fWPV1sn+qcMhFCiRIkSLYjy5VyiRIkSLYhWezlf3mTZTq+/EdlOr78R2U6vvxHZRsqc0GiZBK8lSpQoUSJFq2nOJUqUKFGC8uVcokSJEi2J8uVcokSJEi2I8uVcokSJEi2Ilns5i8jhda5vLyJHi8jOOdc3FpFjROR0ETlNRI4QyQbu8LkP/0VEPi0iU0TkJBG5XkQuFpGNq2T/S0ROqD4/gn5dXvX37ua4V0TO8m04X0SmmWtdInKyiCwSkftF5F4R+amIvDVSh4jIcSJyrD8+VES+LiL/GBmDr4rIgaPs0zlVf29W9fcJvv5TJJIlQEQOEZFvish1fpwvFJEFEblC89Vmc9WMZ/Acczwh5moio+VezsAV9g8RudYcLwRuBt4FXCciJ1XJHuevHwGcCuwHnAjcJyK7GdErgc2B7YFFwL7Al3Exq79d1Z4DgHcDT4rIz0XkKBGZRAQiMivnMxt4Z5X4leb4QmAB8BVgKnBZ1XhsA1wA/Bb4lT93loh8nCy+BRzn+/xD4KPA3cBbgH+vkj0R+JqIPOG/OHvF+lQH1YkUQjYcROQsX8c9wOHAV62giFwA/D1wFzAAPOY/V4vIsVXlXkmx+WqnuSrap4b6VQd2vtpmrjoWzXBLBK7P+fwSWFslu9Qc3wFs7483A+6vkl2Gy3MYrt/oj3cH7jBy9/n/BXiOlFIowLJY/cAmuAd4MS6p7X8Ab6+SHQIex6XoCp/wd/8w/boP6I21IdKeu/z/k4H/rbr2gP+/F1gBTPJ/9wzTrx2Bs4GHgEeAzwM7GrlXcj6vAoPD9OleYCPTngdibTXtu90fzwQerJItNF9tNlfj9QwWmq92mqtO/TQrKt1fAyfg0lhZCLB/1TlLxO5R1T8DqOpLIjWpLAQIsRPXAn/lZZeJyCZVsqiqishi9U+J/7ua+B2uvYLTRn/otatjgc9iNBDcl/tQVX2yui4Rearq1KYichRu9TJZ1SW5i7RhQETmq+pj4pLs9nu5vkhbB/21ARG5W1WD7GBkrEK//gScB5znl+/vxX1RwpJ1NbCfqj5fdX+sT1O9Bt4FdKvqWtOe6vicFRGZpaorgXn4CKequiq2rDZjM9x8tdNcFe1To/0qOl/tNFcdiWa9nO8C1qnqrdUXROTRqlO7i8gruBfvFBHZQlWf9Uug6sC0i4Bfi8htONPG1b7MWZg0W8ASEdlYVdeo6smm7vk4DcOi+gcEVV2BW85eVnXpEpw2UfOFBy6u+vtW4Eh/fJeIbK6qz4vIXOAlI/dp4Lci0oebr+N9W+fgls0Wz5l+JRkzfZn9VbI1XypVXYZbffyrOf0DYFug5ssO/KTq72dJl8QrzVzNxv9wGJwPLBWRPwE7AR8z/bq/SrbofLXTXI3XM1h0vtpprjoSTfEQFJFLgZ+o6u9HKisiM4DXq+qdVbLPAutwJo//8ee7cEvRPupARESbMSjDwGsns1X1pbrC8fs3wi1bXzDnNlbVmi/IeEBctvbJqrqu6vws4HXAcnW5J0dSdkvN12jnKpTRrD7578qUTpirVkezNgQfBb4sIn8psBkVlVXV1fbFbGTfCZwGvN3IVoq8mD0OK9oJiTBLRGQTryVUn999FLLTgU0LljnXa3SIyBwRORrYzr6YAVR1TUxWRHap6WhtHefXk7GyqjpU/WX3bVipqkvCl71ouWIYO8N92WUYZo+IbCMiU/yxiMgHReQbIvIxkWz6j6KyIrIN7kfopQJlHhnKjIyLFpXN6fdbRGQnf3ygiJwVFU2kAAAEKklEQVQhIjVJl2NywDticwXsCryqqquHK9OXFWVMRfpVl1nVyWhqbA0R2Ra39Dset/N9FXCVt4O+JrKRe59U1W0Ktj8jK44tcgnwAm5j5SRVvdtfu1dV925UtsEy/wFnrxPgIlzS4geBg4CLVfWKRmVF5OvV3cZt4PwAQFVPM2WOl+y1qvpuf7zQj8ctwJuBC1T1ykbk/PUHgf1VdZ2IXATMB64F3ubrP7lR2QbLXI/bF7kB93zeqBrPm9Wg7CW4fZse4EbgUH/fwbhNuE83IjcC2eOAM3DmsUNwm/hdwG7ACd50Vk/u/ar6QKx/HQVtgV1J/wOxF7AUGBpvWRpjizQiex+whT/eH8d+OMr/vXQksg2W+QAwDZiNs+nN9edn4nfRG5UFngJ+hKNSfcB/XgzHVWWOl2whxk5ROX/uYXN8D9Bl/h6RbINlLvVj/RHgJpyN+DLg4Mgz3IjsQ7gfumnAKlL2Ui+GWVFUbgSyRRlTheQ6+dPUHIJ+qfcOnIZ7KE7L+cJrINsIW6QR2R5VfRZAVf8oIocAvxKRraEmm2tR2UbKHFS3JF0nIo+p6nP+vlUSYXYUlN0FOBe3wXqGqj4jIp9X1e9Ti/GSLcrYaYTZ85SIvE1Vbwb+AmwNPCFuQ6waRWUbKVNVdRXwHeA74sxLxwEXishWqrr1KGTV9DeMSYWsGbOoXKOyRRlTDTGrOhLN+EXAEd2/h+NBXg+8D8+zfC1kcUuyQ3LKuG0UsncA86vOTcdpO30jkW2wzHtIObhbmfNTqNXcCsv68/vgHCvOAP5SZ37HVBbHHghc3QHSlcQkstzZQnL+3Na+3ttwq6BV/u+lOIpdw7INlnnvMGOy7ShkLwJ+j3M++rJvx5k4atpljcqNQPZCnOnjTOB3wOf8+VnAQ43KdfKnOZU6L74PAzObIQtcChxUsK2NyC6OyeKWf+8fiWyDZX4PODAiuyVw2EhkcV6HB/pjAf4J+FFO/8dLNjoHwAzgTY3KmfoPAt4ALAT+Due11pXT1rqyDZb5cGz8c/rfiOylvg0H+L/n4374jiNrZikkN0LZs4FPVT1HgSPekFwnf5regKZ0Gv4ZuBO39LwY2KtVZTu9/nZqa7Prb7G2PlGw/mHlOvnT9AY0tfOOrP8Z3LKzxnV5jGV3GI3sGJQ5qn69xmPV1m1tdv3t1NZGyuy0T9Mb0CofXkO2yGhlO73+dmprs+tvp7Y2UmYnfDqa8C0iPSLyLhH5MW7j71Hg6FaU7fT626mtza6/ndraSJkdh2b/OjTjQ5PZIo3Idnr97dTWZtffTm1tpMxO/TS9AU3pdJPZIo3Idnr97dTWZtffTm1tpMxO/TTVfbtEiRIlSsTR0TbnEiVKlGhVlC/nEiVKlGhBlC/nEiVKlGhBlC/nEiVKlGhBlC/nEiVKlGhB/D8OQ12iCDgdjQAAAABJRU5ErkJggg== +" +> +</div> + +</div> + +</div> +</div> + +</div> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> +<div class="inner_cell"> +<div class="text_cell_render border-box-sizing rendered_html"> +<h2 id="Determine-optimale-rcond-for-imputation">Determine optimale rcond for imputation<a class="anchor-link" href="#Determine-optimale-rcond-for-imputation">¶</a></h2><p>Mask some SNPs in the Zscore vector and test the raiss model for different eigen_ratio.</p> + +</div> +</div> +</div> +<div class="cell border-box-sizing code_cell rendered"> +<div class="input"> +<div class="prompt input_prompt">In [20]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="n">n_masked</span> <span class="o">=</span> <span class="mi">40</span> @@ -12165,7 +12305,7 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [15]:</div> +<div class="prompt input_prompt">In [21]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="n">rd_list</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mf">0.001</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span> @@ -12174,8 +12314,8 @@ div#notebook { <span class="c1"># Compute correlation between true and imputed values:</span> <span class="k">for</span> <span class="n">rd</span> <span class="ow">in</span> <span class="n">rd_list</span><span class="p">:</span> - <span class="n">imputed</span> <span class="o">=</span> <span class="n">raiss</span><span class="o">.</span><span class="n">stat_models</span><span class="o">.</span><span class="n">raiss_model</span><span class="p">(</span><span class="n">Zscore</span><span class="p">[</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_known</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">]),</span> <span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">rcond</span><span class="o">=</span><span class="n">rd</span><span class="p">)</span> - <span class="n">cor_perf</span><span class="p">[</span><span class="n">rd</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">corrcoef</span><span class="p">(</span><span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">],</span> <span class="n">Zscore</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">])[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> + <span class="n">imputed</span> <span class="o">=</span> <span class="n">raiss</span><span class="o">.</span><span class="n">stat_models</span><span class="o">.</span><span class="n">raiss_model</span><span class="p">(</span><span class="n">Zscores</span><span class="p">[</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_known</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">]),</span> <span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">rcond</span><span class="o">=</span><span class="n">rd</span><span class="p">)</span> + <span class="n">cor_perf</span><span class="p">[</span><span class="n">rd</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">corrcoef</span><span class="p">(</span><span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">],</span> <span class="n">Zscores</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">])[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> </pre></div> </div> @@ -12194,7 +12334,7 @@ div#notebook { </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [16]:</div> +<div class="prompt input_prompt">In [22]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="s2">"optimal eigen ratio </span><span class="si">{0}</span><span class="s2"> maximum correlation </span><span class="si">{1}</span><span class="s2">"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">cor_perf</span><span class="p">),</span> <span class="mi">4</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">cor_perf</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">cor_perf</span><span class="p">)],</span> <span class="mi">2</span><span class="p">)))</span> @@ -12214,7 +12354,7 @@ div#notebook { <div class="output_subarea output_stream output_stdout output_text"> -<pre>optimal eigen ratio 0.0111 maximum correlation 0.97 +<pre>optimal eigen ratio 0.1019 maximum correlation 0.98 </pre> </div> </div> @@ -12243,7 +12383,7 @@ row. </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [17]:</div> +<div class="prompt input_prompt">In [23]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="n">cor_perf</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> @@ -12259,13 +12399,13 @@ row. <div class="output_area"> -<div class="prompt output_prompt">Out[17]:</div> +<div class="prompt output_prompt">Out[23]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dca0d550></pre> +<pre><matplotlib.axes._subplots.AxesSubplot at 0x7f62dc483630></pre> </div> </div> @@ -12278,7 +12418,7 @@ row. <div class="output_png output_subarea "> -<img src="data:image/png;base64,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 " > </div> @@ -12293,13 +12433,13 @@ row. </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Comparison-between-the-imputed-and-the-original-signal">Comparison between the imputed and the original signal<a class="anchor-link" href="#Comparison-between-the-imputed-and-the-original-signal">¶</a></h2> +<h2 id="Apply-imputation-for-optimal-rcond">Apply imputation for optimal rcond<a class="anchor-link" href="#Apply-imputation-for-optimal-rcond">¶</a></h2> </div> </div> </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [18]:</div> +<div class="prompt input_prompt">In [24]:</div> <div class="inner_cell"> <div class="input_area"> <div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span> @@ -12312,16 +12452,16 @@ row. </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [19]:</div> +<div class="prompt input_prompt">In [25]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">imputed</span> <span class="o">=</span> <span class="n">raiss</span><span class="o">.</span><span class="n">stat_models</span><span class="o">.</span><span class="n">raiss_model</span><span class="p">(</span><span class="n">Zscore</span><span class="p">[</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_known</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">]),</span> <span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">rcond</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">cor_perf</span><span class="p">))</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">imputed</span> <span class="o">=</span> <span class="n">raiss</span><span class="o">.</span><span class="n">stat_models</span><span class="o">.</span><span class="n">raiss_model</span><span class="p">(</span><span class="n">Zscores</span><span class="p">[</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_known</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">]),</span> <span class="n">LD_cor</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">,:][:,</span><span class="n">ids_known</span><span class="p">],</span> <span class="n">rcond</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">cor_perf</span><span class="p">))</span> -<span class="n">Zscore_reconstructed</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">copy</span><span class="p">(</span><span class="n">Zscore</span><span class="p">)</span> +<span class="n">Zscore_reconstructed</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">copy</span><span class="p">(</span><span class="n">Zscores</span><span class="p">)</span> <span class="n">Zscore_reconstructed</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">]</span> <span class="o">=</span> <span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">]</span> -<span class="n">sns</span><span class="o">.</span><span class="n">jointplot</span><span class="p">(</span><span class="n">Zscore</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">]</span> <span class="p">,</span> <span class="n">kind</span><span class="o">=</span><span class="s1">'reg'</span><span class="p">)</span> -<span class="n">cor</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">corrcoef</span><span class="p">(</span><span class="n">Zscore</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">])[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> +<span class="n">sns</span><span class="o">.</span><span class="n">jointplot</span><span class="p">(</span><span class="n">Zscores</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">]</span> <span class="p">,</span> <span class="n">kind</span><span class="o">=</span><span class="s1">'reg'</span><span class="p">)</span> +<span class="n">cor</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">corrcoef</span><span class="p">(</span><span class="n">Zscores</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="n">imputed</span><span class="p">[</span><span class="s1">'mu'</span><span class="p">])[</span><span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">]</span> <span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span><span class="o">.</span><span class="n">annotate</span><span class="p">(</span><span class="s1">'cor : </span><span class="si">{0}</span><span class="s1">'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">cor</span><span class="p">,</span><span class="mi">2</span><span class="p">)),</span> <span class="n">xy</span><span class="o">=</span><span class="p">(</span><span class="mf">0.25</span><span class="p">,</span> <span class="mf">0.65</span><span class="p">))</span> </pre></div> @@ -12335,13 +12475,13 @@ row. <div class="output_area"> -<div class="prompt output_prompt">Out[19]:</div> +<div class="prompt output_prompt">Out[25]:</div> <div class="output_text output_subarea output_execute_result"> -<pre>Text(0.25, 0.65, 'cor : 0.97')</pre> +<pre>Text(0.25, 0.65, 'cor : 0.98')</pre> </div> </div> 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 " > </div> @@ -12369,16 +12509,16 @@ row. </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h3 id="Complete-signal">Complete signal<a class="anchor-link" href="#Complete-signal">¶</a></h3> +<h3 id="Comparison-between-the-imputed-and-the-original-signal">Comparison between the imputed and the original signal<a class="anchor-link" href="#Comparison-between-the-imputed-and-the-original-signal">¶</a></h3> </div> </div> </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [20]:</div> +<div class="prompt input_prompt">In [26]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">({</span> <span class="s1">'Zscore'</span><span class="p">:</span><span class="n">Zscore</span><span class="p">,</span> <span class="s2">"reconstructed"</span><span class="p">:</span><span class="n">Zscore_reconstructed</span><span class="p">})</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">({</span> <span class="s1">'Zscore'</span><span class="p">:</span><span class="n">Zscores</span><span class="p">,</span> <span class="s2">"reconstructed"</span><span class="p">:</span><span class="n">Zscore_reconstructed</span><span class="p">})</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> </pre></div> </div> @@ -12391,13 +12531,13 @@ row. <div class="output_area"> -<div class="prompt output_prompt">Out[20]:</div> +<div class="prompt output_prompt">Out[26]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dc84c160></pre> +<pre><matplotlib.axes._subplots.AxesSubplot at 0x7f62dc370588></pre> </div> </div> @@ -12410,7 +12550,7 @@ row. <div class="output_png output_subarea "> -<img 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087DmklJdFIYniMTidISTRGu31gcjZ99z0Ku34N1SN0DWsLi3+6Jv4BczJ7g6XEtZ+Y+H37xB/AoWILJoLZbKa9vV09AGYgUkra29sxmyfeh1s1cJ9LhDt4Nct+8Y9L1BJLegaIf4tYQH5yfNSlqYnGfrePLR/0xskR/xP/0H42HoKSS2OPaS0HQzzYtNyOE01OGoJ2SsTRid93oPi3n4KCDROf6xwlLy+Puro6WlvVm9NMxGw2k5eXN+HrlfjPJcIdvBpCKRG3jzFc1rnH2aHV/enpoMEQT15uQtSlKYnGfrePTg/JRZponglddf3lIkaK3W8rg7QS0GkvovtrOugmmVTZQTAQQG+YwP+mfeIv9Gdl0zcQDPHY7hpuWJePOU4/6fPPBOLi4igqKpruZSjOEsrtM5cId/CqDdqxhi3/eKtWn8fncoC3E2SIGm88+cnR4p9qMfW7faA/4udMOPG89jNrOTSMkLHYVq5t9obZV91Bk0zBIEJ0tAzOFxwjzmYw2yB53llx++yudPC/z77EjjJVpkoxO1HiP5cIZ/fW+LUEL4AEW19ZZ0ekrk9r0ELeSG4f0DZ9Hae1t4WJcuIfmqgvvQ46q2O3jPR5oLO2f7MXTfw79akAdLTUTOzermawZEFK8Zk/xGLQcWoPr5i+SVztO5M+t0IxFSjxn0u4msGURFuvIeL2sdg0EQ15OiPZvR1YyU8Z6vZxegP0BsL1yVOLIdgL3XUTW0tPB1S9DYuuhOyV2rFYfQLaTwIystnb0u2lrqOHeUXaprO7tXboNWPB1QKWjP6H2CRvWobqtTcZfZfqgKaYnSjxn0u4WiAxHWdvAIspDoCExCT8Uo/09ou/Q1qHbvhatFj/Dne4l++ZRvyUv6z1DVh0FWSv0o7F8vv31fQJu33212hvB2uXaVmLvR0TfPi4msCSCSnzweea9HBPg+MkAEKFkSpmKUr85xLuVkKJ6fgCoYjbR+h0OEUi+t4u6NHcPh3SSo59qNsHoN3dF+vfJ/5jdJn0dEa7iE78A6zZkLMaElO1CKLGGH7/tjKtkFw4t2BfdQdGvY4Ny5cQkDpCXRNonyel9iC0ht0+4/keYyTZo1n8Bo8Sf8XsRIn/XMLVjN+s+fj7Qj0B3MKC3tcdsfzjrKlDIlRSErWCV+197RwtmVqZhbFY/h4H3LcEHrkSOqrA3wMVr8HCD0UieMheOYzlX6ZFFhm0+++v6WR5no14sxGHsKN3Nw+9ZjR8LvB7wm6f+dqxSYz48fqD5Ae1vQhTb9sooxWKmYkS/7mEqwWfWfPxDxT/Hr2FOL8m/j7iSEse2lSiz+0TifgRQnOZjMVibjkGfjfU7oYHNsHz39A+L7qyf0z2Su1B4u2OvrbtJKRrLp/eQJDDdV2cN0+LUOo0pGH2TkD8neFrLJla7oDOMKkRP1WNreQJTfQTfO2TNq9CMZUo8Z8F1J/YS9ne10YeFPCBtxOPMWz5m/vF32tIwhxwgqedTpLIT00ccvmQ+j4QDvccg+Xf133rlhc0N8+BP4ApCQov7B/T5/dvPtJ/LBjQ5k/TWjscqe/GFwyxpkDLSnYb00nyTcCt4hog/noD2OdNqtuntVJrHuLFiCUQI4JJoZgFKPGfyYRC8M79ZP35MgqfvYHmiv3Djw1vPLrjNKveOsDy98dZiQ+6CLnbaQsNDfOEGPV9QPPDd1ZrD5aRaC3TxD5/PXz6Gbjq5/Chn4HB2D+mL+JnYLx/RxWE/JHN3gPhzd41BeHchIRMUkITsKxdTdpPS6b2M2X+pLp9ehq09tSn45djDynxV8xOlPhPI7sf/wl7n3kg9kl3O/zpBnj5e7xnWEs38QSeuHX4AmluLdnIqdeEc6DlHzDasEgXfmcbDmkZkuAFMer7ADKlGGSIoKNq5C/SekJz3Qih+fjX3gorB/U4tWZqcfcD/f6Rmj6a+O+r7iA/JZ6MJK1eSciaTRJuetzDd1GKSV81UmuW9jO1GByVkxbuKdrKCKCn2b4KCx5tj0OhmGUo8Z9GCo7/F0v2/YDWhqroEx4HPLwFTm9HfvD/8lnf1/i++BK5vkrqn/xm7MlcmuXfqQuL/wDLP2RKwiLdhFxtdGAlL2Wo5Q9DE70OeDXxPLDrlZG/SOsJSF808hgYsulbe2w3AH+rTaCsycn+mo6I1Q9gsOUA0N5YPfrcA3E1gy4OzJr7iJRibRN4kkpUW5ynaTbk4k/U1hfonsC+hEIxzSjxnyYCfh/psp0E0UvlX/41+uTL39NKNdz8PI6lN+PxhVi59WM8abiK3LJH8Z94ceiEYcvfIWwAWM1xkVPCbCdOBIlzN9AhrTEtfxhU3wd4vTObepmKoezZ4b+Iu11zOY1F/HNWada+z8O+F35H5qFf815oEV/7eyWX/2IHzd29UeJvTtFaQ3eNN8vX2axF+vRFGqVMXsSPlJLM3mq6EovQWbQ+027HBMJRFYppRon/NNHWWI1BhGghhfMcz1N5VLOCOf0mHHwMLvgy5K+jtkNzKRSnW8i47j85HirA/9QXhpZKCG9ytsk+8e+3/HUJmqAaQr10CivZtthlYAfX99lb08ELwfUsce+hu3MY33truOzyWC1/GeLkY3ex6t2vccq4kIVfe55X79rCvdev5M6LS7hmVW5keFKGJv49jnEmerma+/39MCDc88wjflo7nRTQRCBlAXpbVnh9jWc8r0Ix1SjxnyYcDZoVWrP2O7hFAs5nv6v5jv/xVc1S3aK5d2odHgDyU+LZvCSfF3PvJMHvoPPku9ETulrBaKUzYMCgE5gM/X+1+oR+azpoTsGgj/3XPtDt4w+GOFjbSXnaNowiQNmbj8f+In3inzFG8QdKq//E0fg1zPvKi9iSUynJsPDR8/L4l8sWYkvof2NJyZoHQKBznMXdXC3R4t8X7jkJET8Np49iECGM2YsxhcXf16XEXzH7UOI/TXhatAzR9NL1HCu5gxXePXT8z0c16/SqX0Cc5pev7QiLf9hVc8lmLXyyqXpQoxN3C1jScXkDWMwGhBCRU0ZLf1y/ITFt2DUNrO9zrKEbrz/E5q1X0EQacSf+Hvui1hNgtEJSbuzzAwhZcjgmC9kVv4WFX/0HCRbbiOMtScl4pCnSp2DMuJo0t08ffeGeE3D7HPvRJt578r7IZ2etFqqaUric+GRN/INO5fNXzD6U+E8Tfoe2iZmRV8zqj32TBpFBctNO5KpPwPwtkXG1jp6orlu5eYX0yjj8bYMKirlaIDEjXNcnuv69Oalf/E229GHXNLC+z54qrRTEuqJUKjO3scSzl66OGNmsAyN9RqHV7eNDvT+iYvOvMJlj7zsMROh0tOtSMXqaRh0bIRgAd1t/pE8ffQXexoHH1cUS/xEKj9yPr1eLsgq2nCAkBWnzlmKzJOKQFqRTlXVWzD6U+E8T+u46HCQRn2jFZE7g+Jq7eSe4hOrzvhM1rq7DE1WELcVipoE0dF2DNkHdrf2W/yDxTxgg/taUTIZjYH2fvrDLzCQzyeuuxygClMdy/bScIJS2kJ+8eILKNveI31lzYQnyUkYX/j6649KJ7x1HopenDZDRlj9QTRbe5pP9jezHQEeLtpGbgYNDL/4WgPjOCpr1GehMidgTjLRJGzpV30cxC1HiP02YPQ20G/qFOHPNVXzC/z2OdsRFjat1eKLEUghBe1w2CZ5BfvCw5e/qDURt9gJYbP2unuS04cV/YH2fvdUdrJ2nPTQWrtmquX7Knom+wOMAdwunRB4PbD/F73aOXN64Jrx/UTAO8e8xp2MLjKN+jnNQgleYJ5uzMEsvJw++Ofap2rSNZr/Uk/L+fyFDIVK9VbTFa92tkswGWqUdY48Sf8XsQ4n/NGH3NeE0ZUc+l2RY0OsExxv7a98EQ5L6zp4hoZmu+FxS/AP84EG/VrHTkoEzhuXfV9MfID1zeN98n9vnUG0nrc7eSI0dodNRlbmNJZ490a6fVi1J66VmLZ7+1WPNIzb7rnVokUu59th5BrHwJ2aRFnIgh2kqEwpJfIEB5/pi+S39bp+qNjePtpQQkDo6Dgx6gAF7n3kwZrKdp0N7kOxP/wjFwdO8/9bfyQ/W02vTKp4a9Dq6dHbMg+r7HHn7GY78eAtej2vM31OhmGqU+E8DMhQiPdiKz9IvxOY4PcXpiVHi39ztxR+U5A9KygokFWCTTmRfkbS+mvKJ6bh6A1jM0W8PeoMBp4ynRxrJTU9lOPrcPi8d00RvbWF/lJB93fUYRTDa9dOq1fT5S00iufZ4Grq8HG0YVLhtADUOD1lJ5nH1vBVJORhFgI622Ju+9/zjGNf+v539D51IXZ9+t8/TB+txCgtHDUvIatwedX2v10Pp/ntIPvTQkLn9XdqfQ/6V38JBEtY3f4BJ+NENiGzqNqSQ6HNEXec98izLeg9ydPswEVIKxQxAif94cFTCsb/DW/fC01+Evb+d2DStDcQLH9jzo44vzk6KEv9ImOcgy9+QqoVAdjSEi65FrN3MmJY/gEtY6MBKhtU07Lr66vscqe/GajawIMMaObdwzVYaRAb2I7/r95u3luHXJ1AdTOWnH1uBEPDq8eEjX2o7PEMeZKNhTNYekB3NsTt67axo42hDNwdqO8NfNNrtI6Xk7wcb2Dg/lZ6ibRSFqmisLotcf/SNx7HhJjk4NI8h5GwmJAUZefMpK/g480PaJn1SwdLImB5TKibZA739Vr6tW2tQYzisxF8xc1HiP1a66uD+8+CJT8Nr98DRv8GL39EyXMdJe70WcmgKi3gfi7OTaOjy0unRYu37ErwGt1y0ZGoNShx1WjepiOVvycDV6x/i8wfw6C249TZ0uuGjcvrq+4BWXG3gWKHT0bDm65QGTrL3qXDoY8txTpPLijw7F5SksaYgeWTxd3iGfJfRSEjNA8DVOjTL1+MLcKpVE92n9oUTwVwtWuP2OC2R7VBdF5Vtbq5ZlUvO+dcCUPPu3/q/8/t/BiCF7khET+Scp5VOYcUQZ2TBlV+hV2pvVJnzV0bG+Ezh/ZRwhjVSktlzmoDUsdSzh7amCbahVCjOMkr8x8qJ57W2hDc9Bd+pg9teg4AX9j867qlczVrIYVLW/Kjji7OTADjeqBUyq3V4EAJy7NEZuSl5Wr/bnpZw6GLY8vfHp+H1h6IqevbRZl9Be/LKIccH0+f6WTfA5dPHeVfezhHTKhYf/zltTTX4m49z2JfN9Wu1N5htSzI5Ut9NQ+fQQme9gSBN3d5hS0sMhz1Te0D2xsjyPd7oJCQh3Wri2UMNeP3BIdm9Tx+ox2jQccXyLApKV1Ircoiv1GoVtTXVsszzHi1oG9vtTdE1hIw9rXSFayWlZuZxIOMaqnT5WO39rjN/fDh0tu/ty9VMkuzmJdPlGESIitcfGdf3VSimCiX+Y6XseUgthdJLwWSFzCVQtAX2/LcWWz4OfA7Nik3LLY46vjhbc7P0uX5qOzQfuckQ7SPPyc7BJc391TbDVqfbMLSiZx/n3/l7Ntz5yKhr67P8z5s3tOGL0OlI+ugvMUsfTX+4gzhPC6fI5+oVWoGzSxdrovtaDOu/vqMHKccX6QOQmlUAQDBGO8ejDV0AfP2yBXR7A7x+oiVc10dbhz8Y4tlDDWxbnElSeB+kPmMLi3oO4nZ2UvHa7zCIEKdLPgNAV0u0lR7vc+CO638Irvvcg+R+e1/UGNm3txAW/1DTUQA651/FSUMpaaf+hkIxE1HiPxa8XVD1Niz8YPTx8z8P3fVwYoTCZ7HorMUtzSQlRydcZVjNpFmMEfGvcwyN9AEwGw006TIxOMNi5WqFuEScIc2fH8vnP1ZSLSYMOsGqfHvM8wULVrE//zMsc+8CwFawLFKSoTg9kaK0RF45PjTpaTgX1mjEGU20Y0PvHprodaS+iwsS6vhY/D4yk0ya62eA5f/2yTba3T6uWd2/sW5ZcZVWruKdZ0k//VdOGkrJWKX9vXraosXfGnTgNfWHyeoNBuKM0Xsmur69hfBGs6dOa/Siy1xMe/F1lARPUXlsz7i+s0IxFUyK+AshrhBClAkhKoQQ3x5h3EeFEFIIsXYy7jtlVLymNR0Z2JYQYMHlWtmA3UMjRUbC5K6nVZ+B0A3941+cncTxpn7Lf7jyy53GLKw94Vj/vtIOvdobSCyf/1i5PlxjJ944fETOqk+YehLaAAAgAElEQVTcQ73QRG/NeRsix4UQbFuSya5TbTi9/qhrJhLj30eHPg1Tz9C3iSP13fy74RH0T97MD7PfZnt5qybClkyklDy5rw57QhxbFvQ/ZBeu20Y3CVj2/IriYCWOko+SnKm9Xfg6o98ukkOdBOKHz4gGMCalEZICf5e2Pl/DEVqljZSMXBZc8hn8Uk/TW4+M+zsrFGebMxZ/IYQe+A3wQWAJcKMQYkmMcVbgK8DuM73nlFP2PCSkQt666OM6PZz/OajZFd2hagB7n3mA/T+7OipOPam3iS5TVszxi7OTKG920eMb2UfuScwjLdCkNShxNUcSvAAspriY14yFzQvS+cJFxSOOMSdYcH7o//Fu6rWctzJ6H+HSxZn4g5Id5dGJWXUOD0aDbsRoo+FwGdOxDGrn2BsI0tLcQLHvBJjtbKv+OTeJFxF+D774dP7liUM8d7iR68/LwzigyF2c0cRJ6wYWBMrxST0LL70Fe2omPmlAdveLv9vZSYLohcSRxd+WmEA71khxN33bMU6E8smxxZOSkcvRxPUUNz4/rsxihWIqmAzLfz1QIaU8LaX0AX8GPhJj3H8APwGGaUU1Qwn64eTLsOAKTewHs+omiEsc1vrXlb/AGteb1Jx8P3IsLdiMNyEn5vjF2VZ8gRBvnWxFyuHdJNI2j0S8eLtbNbePJQOXNyz+Z2D5j5VF6y5lw52PoNdH/5mcNy+Z5IQ4XjkW7aapcXjIS44fMdpoOHoTMoeEYpY3ubiA99ERgo8/BvMv4p44bfP93nc6efpgPV+7dAHf/uDiIfPJBVcAcNSyEXtaFkKno02XQpy7/+2is1V7q9InxX5I92FLiKNN2gk5WyAUJLGrgjKZT3Z4kz60/AYycHDsnXG6BhWKs8xkiH8uMNBZWhc+FkEIsQbIl1I+N9JEQog7hBB7hRB7W1tnSMp8zS7N5z/Y399HvB1WfQKOPKmVOxiE1atZk427nwLA1d2BDTchW0HM6foifl4+pglRfox+uwCmdK3EQFttedjtoxV1gzPz+Z8pep1g66IM3ixvJRjqz/at7fCMO9Knj1BiFil00+v1RI4daehii/4gQXMyFGyEGx6jxbYCgLpAEo/dtoGvXFqKPsbDpvQDH6XcsADz5i9HjnUb0jAPqCHkDIu/yT6K+MfH0SptCHcLOCoxhHqpEPMiUVNLtlxPSArajr89oe+uUJwtzvqGrxBCB9wH/MtoY6WUD0sp10op16anj/y6PWWUvQB6ExRfPPyYRVdC0AfNR4acSgtoFrCt9jUAWuu0xKy41NjiX5xuwajXRSJmhrP8k7I110xX/QntoZPYb/mfic9/MtiyIJ0Oj5/D9V2RYzXtngn5+wFMOZoX8cQ7/4gcO1rXwVb9IXSl27Q3MpMF661Ps7v0Lv79ztvZWDx8JrMtOY0F39vD4vMvjxzzmNJJ8veLf0+n5sZJTMkecv1A7AlxtGJD72mBFq2xuyOxJFJS25xgoUOfSqC9anxfWqE4y0yG+NcDA1NV88LH+rACy4DtQogqYAPwzGzY9D1U00HH/qeR8y8CY+LwAyNtAqMLm7m6O0jGSReJLPAdo6O1ke4mLcHLklEUc6o4vY6SDAsdHj9xekFmUuyuW+n5Wqy/aDiAVsUyPbLJOp2WP8CFpekIAW+WaWLa5fHT7Q2MO7u3j2VbP04LKeh299ff8dbsIwUnonRb5Fi8LZXzb/oBafakcd/Dl5BJSrD/zc0X3sC1ZeSNeJ09XqvsafS2Q8sxQgi89pKoMb2WXCzeBro8/mFmUSimnskQ/z1AqRCiSAhhBD4ORKpnSSm7pJRpUspCKWUh8C5wtZRy7yTc+6yyY+dbJPsaaMraOvJAW57WMHxQvfjWWi3N/3jWNeiFpGLnX/G2aolEqbklQ6bpo8/1k2uPj+m2AEhLTaNTWkhqC280J2bQ3N2LXidIGCFSZypISTSyMs/Om+VayGdfQ5qJWv5Gk5nThTeyvHc/Vcf34g+GKGjfiURA8SWTs2hLFhbRg6tba4/ZV9rBnjqy28eeEEertGMI9ULNu9SLLNKSoxPkjGlF5IsW3qsa6hZUKKaLMxZ/KWUA+BLwEnAceEJKeVQIcY8Q4uoznX86SW7YDsCrodUjD9TpIXkedERb/l3hVo3Jaz9GCynoT75IqLMGnzSQmpkfayYAluRo4j9STLwQghZDFplurU5NrzmVpw/Wc/GijKguXtPFlgXpHKztpNPji9Qoypugzx9g4ZV34pVxtLzyC061utgsDtCRvAISh3fvjAeDXdumcoSzfHWeVjpEEoY444jXmeP0dOm0nAhZs4tjwbzIZm8f9uxisnCw+5Tq+KWYOUyKz19K+byUcoGUslhK+aPwse9LKYfUz5VSXjQbrH4pJenOY9SE0nm5Zgximlw0xPL3tmqf0wsWUpl6IQtd72HuqqRFl4ZOP7x13pfpO5pYdptyiENzJbxSAw63j1s3xXYnTTVbFqYTkvB2RVt/jH/qxMU/OT2b91OvYEX7ixw+8B4rxGlkybbRLxwj5lRN/LtbtOxrY08b3bqhJS5i4TFqDyAR8HIilE+2Ldq9ZUgtxCBCVJ4qi3W5QjEtzL4MX8dpOPr0Wb9Nq7OXklAV5boidlc66PEFR74gpQgcVVrcfR+dNXikieS0bMxLP0Si8LLUvZtO48iuhCXZScTpBSUZlhHH9Vr73x7+a7+LxdlJbJg/tCzDdLAyz44tPo43y1qp7fBgi4+LlFiYKBnbvopZ+Fn+7l3ohCR55ZWjXzRGktK1P0uvQ9uuSvC144obm/j7BySCaeI/aJ/GrtUn8rRU0tWj/P6KmcHsE//dD8GTt0DAN3lzxujterKuiSLRhDF3Jb5AaHR/bcp88DnB0x+PbnLV0qLPROh0LNxwFR5pwigCeOJjx/j3YU8w8tyXL+Sm82NHBPWhS9bOB/TxHGoJcMumwhnh8gEt5PPC0jTeLG+lxtEzYX//QAoXr+V983ksEtV06uzoclZNwko1UrI0gfaHs3ytwQ56TcM3ux9IMKFf/Mtl3hDLH7v295QnWtmr/P6KGcLsE//uBpAh6Bxa4ndCVO2EX63WavcMoP30AXRCsmTNBzAadLxVPkreQXLY3TLgQWLzNtBp0oTenGChLPE8AIJJI0eQACzItI7a9CQ+Q4syag4mkZpo5OqVIz9UppotC9Jpcfay+3T7hCN9BiPP/wIAVfaNEKM8xkSxJCXjkvEIZyMyFMIe6iQQPzbx1yemEkRHQGekSmYNqcKKLQ8pdMzTtfHu6fGXAFcozgazT/z7OjXFsNYnRMWr2s/T26MOB+q1jNy0krWsL0zhrZPR5QpqHZ7ohuWDwj21bl3N9Fr6hT5QomWW6pOH3+wdD/acUgCaQ1Zu2jBvXB2ypoK+mjq9gdC4C7oNx/LN1/Fu7mewXfzVSZlvIO36VIw9zbhdXVpph0FN4IfDlmDCgY1WcyHGOCO2+EHuLX0cIimX5ZYudlcqy18xM5h94u8Mt/PrGLlZ+Jipekv7Wf1O1OGEjuM4hRWScrmwNI2yZidNXVplii6Pn+sf3MXn/zCgvG/yPEBEHkrdHa1YRQ/S3u+6WXjxJ9mbdCmF6z88KUvPLNBi/dux88kNI7uIpoOMJHMkbHWi2b2D0en1bLj9VxQt2zD64HHijEsjwdtKZ8vYSjv0YU+I4/XQGt6Lv5Bsuzm2680+j2JDG0fqu+j2Kr+/YvqZXeIvpVavHYYkVE2IXifU79cyeOv2QqAX0JqC5/ScpNWyAITgwlLNgn3rpOb6ufvZozR1eylrdtLSHS5VZDBp8f7hh1JLOMbfmNbfsCXJnsrau54iI3dyInLiExKp1BWgz1hEhjV2Mth002f9T4bP/2zjNaVjC7ThbNfE3zxKaYc+bPFxfMv3WR4KXUvOYH9/H/YC0oPNhCTsq+qYrCUrFBNmdol/TwcENYEej9snGAhw+McXsf+lP0SfqHlX68513me0eRsOAFDX7mQB1fjStF6ti7OtpFlMvHWyjRcON/K3A/VcvlQrabxroA83uTCyLmejVsbBlj1yhcwzJf1rb3PhHfed1XucCdeuzmVlno3lubbpXsqo+BOzSZUOehzapm9Cytj2UGwJWi5ARYtraKRPH8nzMHqaSdQHlN9fMSOYXeLvDFeK1MWNy+1TU36A5b0HsOz5VfSJyh3aXJu+on0Ou37qKg5jFn7M+Vo0iRCCzaVp7DjZynefPsLyXBu/unE1SWYDOysG7AWkzI+8kfjCtVzSwmUYzhYWq21Ig5GZxMIsK3//0gdIThw5WWomIJKyMIogvY1ajR5beu4oV2jYwz5+XzBEtn14y18guTjbz46TbciBIcEKxTQwu8TfFRb/nFXQUQWhUWLvw7Sd0ER9QaCc6uMD/PRVb2k1+m15kLYwIv6u6v0ApJf0lx+6cEEanR4/rt4A9/3TSkwGPRuLU3nn1AArLqUIPG3g7UZ01tBNIrbksUWMKKYfY7Im9ua2IwSlIDlt5KJufdgT+jd4c4az/MOx/h8pDHC8sZu91cr1o5heZpf491n+BRu1KprdQ/u6xiJUtxe3NOOXehrf/B/toLcLGg9B4Qe0z/MugNrdEAqiaz6CDwOJuf09aS4sTcdiMvCvH1xEaaaWgXtBcRp1HT3UtIdLDfdF/HRUYnbV0qIfm89YMTNISNUis3I8ZXQIG3rD2Ark2eP732pGsvwBLkzXEt7+561JClhQKCbI7BT/eRdoP8fo+knrOsyp+KUcSTyfkqbnCPh9UL1LyxcourB/zt5uaD5KsvMEDcYi0PdbdGkWEwe+v42bB5RP2FSipfW/cyrs+hkQ62/3NdJtnllx94qRsWVoIbiZtNOti93DOOZ1A0I7h/X5J+WAzoDJWctN5xfw0rGmfqNBoZgGZp/4m2yQEbbIx7Dp63F1URiowpO2ClbdRBqdHH3rac3lozdB3nptYMFGAIJVOyn0n6bLtmjIXHH66D+u4nQLGVYTO/tcPyma+Mv202QEW/BZRk/mUswcUsNZvgDuuLGXybAljEH8dXrNvdhZw6c3FqIXgt+9o6x/xfQxy8S/EaxZA0ooj/6Pp+rwO+iFJH7+epZu+RgdJBHc/7/aZm/+eogL/2O154MtH9+hJ0kV3ZC1fNS5hRBcUJzKrlPhDTyTFRLT8VXtIl74EMnzRp1DMXMwmsw40PISvOax79VYTQZ0QvtpHal+kb0AOqvJspn58MocnthTO3zMv987ZremQjERZpf4u5oJJGZwur0nZgnlWHRX7AIgf9mFGE1myjKuYJlzJ7LpMBReGD143gXEN2kFR22Fa8a0pAuK02hz+ShvdmkHkosw1Ggbx+ZhGrYoZi4dek30g/Fj7ySn0wls8XFDSjkPwT4vUpbksx8owu0L8vh7tbHHbv8/8MCm6EKBCsUkMrvE39nICVciH77/bYL2wjG5fYxNB2gQmaRkaJEc6Rd+FqMIIJD9/v4+wq4fgKwFY2s0dsFgv3/KfPQBreyDLXv4hi2KmYnLGLb4LeNrI5qcYBxa0G0w9nlaeRJ/D8tybWwqtFC+4wkCgRhRa+UvQ48D3G1DzykUk8DsEf9wdm+1z4rbF6RZnz20hHIMct1HabQsjXwuXr6BU/r5eDHizxrUpCW8kdwgsjBbx1bONy85gYKUhP6Qz5R+az8jv3RMcyhmDr1mrZ6PYYylHfr4t6uW8NVLR/n77nMDdmrW/n8kPcNPAz/m5Dt/jx7nbILW49rvXZNUwFChGMTsEf9wdu9Jj1bj/lhv2pASyoNpbagik3b82dEunNYLf8g3fbfzs9eroo43GPJpw0Zj4tDN3pHYVJLKu6fb8QdDkXDPdmwkWGZ+VqsimqBFi+03jbG0Qx9bF2WwumAUg6GvzlNnDTQdoejk7wAIHf9H9LjTb/b/3jmMW0ihOENmj/iHwzwrejTx39URbtI9wPXTUHmcppryyOfaw1rRNntpvzsHYMNFV2JZdyMPvXmaN8Olmrt6/Nz8yB5ul/+G7dqfjmtpFy/KxOkNcNWv3uaASwsRbDOoGP/ZiC5JE//EMZZ2GBfhRC86KuHZryDi7ezTrSC3ZTuEQv3jTm8HY7iRT5cSf8XZYfaIfzi7t1kmszQnie1t4X8c4YifkL8Xw++vxPTbS2iqOQlAb9V7+KSewmUbh0z3/auWsDDTyl2PH6TW4eGO3++lss3NNz51LSXF4yvJcOniDB64aQ09/iC3PqO9ibhGadiimJksuviT7Jr/ZQoXj23PZ1xYMrXw4p2/hPq9cPn/4VjmVdiD7cj6cOa5lJr4l1wKpiRl+SvOGrNH/MOWfwt2PnNBIbWhDOSAEsqn3vgdGbKdROnG9egNeD0uktoPUh03H3N84pDpzHF67v/Eaty+AFf8Yge7Kx387PqVXFAy/nIMQgg+uDybV+7azD9/aD2nyMOfs/7Mvq9iWrClZrLx0/8xYo/lCaPTaSHFXbVQtAVW3IB+4eUEpA7X++F2120nwdkA8y8CW76y/BVnjVkn/p36FK5emYPBaKYrLkN7hQ6FsO59gDI5j4MX3E9J8BRHHryZwt5yHPbh4/UXZFr596uX4vYF+fYHF/GRVWMr5DUcJoOe2zYXU3z3UTbc+K9nNJdijmKfp1n/V/0chGBJcSG7Q4vhxHPa+b6mQvMv0h4UyvJXnCXGVrxkJuBswiMSyUlPwxynZ31RCpV1Gax2VOI5+hxZvireLPg+N1x+E7vqD7Gx5iEQoMsb+fX9hnUFXLo4k1TLzK2MqZhDXPoD8DggVSv1vSQ7iZ+wlk3OR6GtAirf1B4QKUVaMmPNrmlesGKuMoss/0ZasFOaofn6NxWncaI3jWD7Kdyv30udTKP0kk8BcP5nfsyBBC1sM2vZ5lGnVsKvmDKyV0Lx1shHo0FHbcZF2ofjz0DlW5rVD5rbx9sF3u6pXqXiHGDWiH/Q2UR9YID4l6RRLTPR97ST3nGAp83XsHqelpij0+tZ9M9PcHTbH8kvGb1Mg0IxneQWLuSYLETu+jX0dvWLvz3c67mrbrqWppjDzB7x7wxb/pma+C/KstJu0nz0DmnBfP4tUb1T4xOtLN105bSsVaEYD6vy7bwUOA/Rl7NStEX7aQvnBahNX8VZYHaIv5ToPc00y2RKMrRa+jqdwJ6vVff839BlXL1WlVJQzE5W5yfzSug87UPWCkjUSoZELP9OleWrmHxmx4ZvTwf6kI92kpmX2t8IfP6SdXz25L+gL7mEjKSZ2cBcoRiN/JR4muJLqTQvp2jFP/WfSMwAvVFZ/oqzwuyw/F3NAEhrVlRN/YsWZbA77nw+sUnV0FHMXoQQrC5I5jb9D+GCO/tP6HThHgBjE38ZCrHv3ms48tbfRx+sOOeZHeLvbAQgITU6azbbFs/huy/jooUZ07EqhWLSWJVv51Srm66eQfX9x5Ho1eVo4TznG7gPKfFXjM6kiL8Q4gohRJkQokII8e0Y5+8SQhwTQrwvhHhNCDGuLie+Tq2phT1j6GUDN3kVitnKqgKtJtT7dZ3RJ2xjT/TqaNHGmd3KTaQYnTMWfyGEHvgN8EFgCXCjEGLJoGEHgLVSyhXAk8D/Hc89Opq1/5mzclVnLMXcZEWeJv4HagaJvz1fq2sV6B11DlebFhJq71UdwBSjMxmW/3qgQkp5WkrpA/4MfGTgACnlG1LKvm7V7wKjNrcNhfobXLjbaumW8czPVe4dxdzEFh/Hoiwr71U6Bp0IR/x01486h9ehiX5WsJlQMEaDGIViAJMh/rnAwPfMuvCx4fgs8MJok8qmo+x5+tfIUAh/VyMtMpmitKEF2hSKucKmkjTeq3Lg9Q8Q7ki45+iunECXJv4m4aetSYWHKkZmSjd8hRCfBNYCMQvmCyHuEELsFULs9RHHuoPf5f2fXk5CVwXOuFRMhrNQaVGhmCF8oCQNXyDE3qqO/oN9lv8YNn1FOCoOoK22bLKXp5hjTIb41wP5Az7nhY9FIYS4FPgucLWUMqYDU0r5sJRyrZRybXzOYt5d+E0WeA6SH6ihN165fBRzm/VFKRh0grcrBvTtTcoFxJgsf2NPC14ZB4C7qeIsrVIxV5gM8d8DlAohioQQRuDjwDMDBwghVgMPoQl/y1gn3nDjd3F8Zjv7rFsxrrhuEpaqUMxcEk0G1hQks3Og+BuMYM0ek+Uf39tGlbGUkBQE2ivP4koVc4EzzvCVUgaEEF8CXgL0wG+llEeFEPcAe6WUz6C5eSzAX8KhmTVSyqvHMn/u/KXk/svTZ7pMhWJWsKkkjV+8Vk6H20dyolE7aMsbU4kHa6CdJstSWvytGLqVz18xMpNS3kFK+Tzw/KBj3x/w+6WTcR+FYq7zgdJUfv4q7DrdzoeWa/2EsedD/f4Rr5OhEKkhB3UJGbT3ZmPxqEqgipGZHRm+CsU5woo8OxaTIdrvb8vXQj0HNnkfhLO7g3jhA2sm7oQ80vyNU7BaxWxGib9CMYOI0+vYMD8l2u9vz4egL1LjKhZ9iZAGWw5B+zzS6aDH7Tzby1XMYpT4KxQzjE0laVS3e6h1hPMiw3X95Qh+f2dbuLRDSg5xafMBaKkpP7sLVcxqlPgrFDOMD5SkAbCzog2H28ePd2kPgcPv7xv2mr7sXmtaPtYsrbdFR8PJs7xSxWxGib9CMcMoybCQmWTikXeq2Hbfm/y2zIBDWuk9+caw1wS6NB9/cmY+afkLAPC2nJqS9SpmJ0r8FYoZhhCCTSVpnGhykpccz7Nf3szppPUUdb2HHG7T19lEjzRiTUomJT0HjzRBR9WUrlsxu1Dir1DMQL5+2UJ+deNq/vrFTSzKSiI0fytpdHL66J6Y4w2eFhy6ZIROh9DpaNZnY3ap0s6K4VHir1DMQHLs8Vy9Mge9TutXUbj+KgBaDj4fc3x8byvdhrTI505zDnbv6JVAFecuSvwVillARm4RVboCLHU7Yp63BtrpMfWLf6+1gIxg8/BuIsU5jxJ/hWKW0JR+AQu8h2PG7ycHHfgGFD8UyYUkiF7aW5T1r4iNEn+FYpaQsPgyTMLPyT0vRx33uLqwih6kJTNyzJxRDKjSzorhUeKvUMwSStddRq+Mw3P8lajjjqa+7N7syDF7jhbr72pUpZ0VsVHir1DMEuITrZSbl5HZ+k7U8e5w715zSn8DvcwCLdbfr0o7K4ZBib9CMYtw522mKFRNa0NV5FiPQ/PrW9L6W2ObEyy0kIKhq3qql6iYJSjxVyhmERmrrwSgcvezkWP+znB2b0Z+1Nj2uGwSVWlnxTAo8VcoZhFFS9bRhh39qVcjx6SzGZ80YEuJbnXqTJxHtq+KYCAw1ctUzAKU+CsUswih03Eq7WKWOXfS1a6VeDZ4mnAILbt3ILqSrSTj5OSB7dOwUsVMR4m/QjHLSNvyOUzCz/GXHgbA7G2ly5A6ZFzpBdcSkDo6Dj475JxCocRfoZhlFC/fQJlhIdkVf0aGQlj97XgGZPf2YUtJp8y0lKzG7SPOFwwE6HK0nqXVKmYqSvwVillI19JPMi9Ux/HdL2EPRWf3DsRZcAlFoSoaq4dP9trz5x8ifrWSXk/32VquYgaixF+hmIUsv+wWuknA+/ZvsOMilBhb/HPWXwtAzbt/G3YuW/VLJOGm5djOs7JWxcxEib9CMQuJT7RyPP1DrHG/BYA+KTvmuIIFq6gVOcRXvhrzfHdnO6W+EwD0VMQuGqeYmyjxVyhmKZkXfyHyuyk5Z9hx9RmbWdRzALezc8i5it3PYxAhPNJEQuPus7JOxcxEib9CMUspXLyW43FLgOjs3sFYVlyFUQQo3/WPIef85a/ilmae019MRvdhCPSetfUqZhZK/BWKWUzv+jtpIYWMeYuGHbNw3WV0k4D/2HNDzuU5dnEycTX1KRswSh/U7z+by1XMIJT4KxSzmFXbPkHG3ZVYbSnDjokzmjhpPZ/5ne8QCgYjx+tPHyVXNtNbsAVf7vkAhKqiN32dXj/dXv/ZWbxiWlHir1CcA8jSK0ijk6M7n4kcq9urvQnknHcleTm5HA/l4zsVven7tccP8sX/VW8DcxEl/grFOcDSS26iXmSS/MZ3Ip3AjFXbaRTp5BUvoyTDwnuhRcQ17IGgVgvIHwzxzql2ypuHdg5TzH6U+CsU5wDxiVY6Lr2XPNnIod9/A7+vl1L3fmqSNyJ0OorTE3kvtBh9wANNhwA43tiNxxek1dWLL6B6Ac81lPgrFOcIyzZ9mN2pH2Fd05/Z98SPsYge4hZcAkCqxUSZaZk2sFprFvNepQMAKaG52zsta1acPSZF/IUQVwghyoQQFUKIb8c4bxJCPB4+v1sIUTgZ91UoFONjyad/QZtIYUPFzwlKQfH5V0bO2TPyadDnQnjTd29VR+RcY5cS/7nGGYu/EEIP/Ab4ILAEuFEIsWTQsM8CHVLKEuDnwE/O9L4KhWL8WG0pNG3R/vmdjFuELTk9cq4kw8Lu0CKoeQcZCrK32sHyXBsAjV0907JexdljMiz/9UCFlPK0lNIH/Bn4yKAxHwEeDf/+JHCJEEJMwr0VCsU4Wbn1et5d8A38F34z6nhJhoUdvQvA20V9+X7aXD6uXqllDjd0Kst/rjEZ4p8L1A74XBc+FnOMlDIAdAFDC5ArFIopYcMnvsfyLddFHStOt7ArtAQp9CQ+fyeFopGti9Kxmg3K8p+DzKgNXyHEHUKIvUKIva2tqr64QjGVlGRYaCKVt9b8AqO7nudM36W48TlybPHK8p+DTIb41wMDO0fnhY/FHCOEMAA2oH3wRFLKh6WUa6WUa9PT0wefVigUZ5Ecezwmg44dYi23mH5OnXkB4m+f45/ln5TlPweZDPHfA5QKIYqEEEbg48Azg8Y8A3wm/PvHgNellHIS7q1QKCYJvU4wP93C7koH7znieXPD/0DJpWzueXXUaJ+O1gYqD6t+ALOJMxb/sA//S8BLwHHgCSnlUSHEPUKIq0cUPfIAABmhSURBVMPD/gdIFUJUAHcBQ8JBFQrF9FOSYeFwfRcA5xWlw7wLsPtb8Lk78fqDsS8K9NLz24+Q+tTHomoHnavIUIiqe5ax69HvTvdSRsQwGZNIKZ8Hnh907PsDfvcC10/GvRQKxdmjOD0RAJNBp4V59mjVQktEA41dXorSEode9No95PSUA9BUf5qsgtIpW+9MpP70MQpDtfhqXwZ+FH1SSjj6V1jwQTAmTMv6+phRG74KhWJ6KcmwALAq347RoIN0TfxLdXU0dsbw+1e8Crt+zftogt9y6tCUrXWm0nhUK44331+Bu7sj+mTVW/DkrfD6f0zDyqJR4q9QKCIUp2viv64wXCI6uRCpN1Eq6mkY7Pd3tcLfvkAgbTGf834ZAE/D0alc7owkVKN1RDOIEKcPvBF9siLcTvO9h6G1bIpXFo0Sf4VCEWFBppUvXFTMDevCAXw6PTK1lFIRw/J/5k7wdnF04300kkqbTELXVj71i55hpHUe4oRhMQGpw1X+ZvTJitchaznEJcKL39HcQNOEEn+FQhFBrxN864pF5Kf0+6N1mYtZpB9k+bvboPwF2PQVDvu1nM46fR5JrtNTveQZhau7g8JAFR3ZH+B0XAnJLe/1n3Q2Q/NhWHodXPRtOPUalL80bWtV4q9QKEYmfSHZtNHRMSA1p+Zd7WfJJVS0uEgw6ulNXkCOvxoZOnfLP1cd2oFeSBKLN+JIW8d8Xxlej0s7eep1AP7taBY/cVxIr70EXvoOBHzTslYl/gqFYmTSFwMQ56joP1azC/QmyFnNqVYXJRkWZNpCknDT3lQ7zETTwBS7VZwV7xCSgnkrt2Au3YxRBDl1YLt28tRruONS+N8qK/+1s5Y7Wj4KjtNUPvm9IeuUvS72/eluju164aytVYm/QqEYmXDEj819qv9Y9TuQex4YTFS0uChJt2DJWwpA0+kZEvFT8Sr85zzwOKbslgnN+6jR52NLTqNozaWEpKC77E0IhZCnXufNwFIuXpTF7n+9hEs+/AleNWym6MRDBH5/HXQ3aJNUv0PP/Rs5r+znLHnp4xz6yWVUHtsz6WtV4q9QKEYmuZCAzkheoAZXbwB6XdB4COZtxOn109jlpTjDQlbxKgDc/7+9Ow+PqzoPP/59Z0ajfR3t+2LJYMu7MRbY2DF2SgIpgaZAm4DJL0ufHyUNAZrQpumePu2P39MQ2jRtGhIISchCE9YSIIZs4NjYxtiW90229n2ZkTSa5fSPO5IsS7JGlkaSO+/nefx47r1n7j1zn6t37pz7nnPqF0jGz/FXwdsDHSenLjsLgoEApYOHaU1bAUBqeianHeWkNO+C5gNIfweve6v5xMYyXEmx3FNTSu693+FLvnsxdW/Bv62HZz+B+fYH6ekf4kHnX7Kz7H7KBg5S/MNt7Hv8o/h7msYdt/H4Pno7W6ddXw3+SqlLszvwJJVRNZzx07AHTACKr+NUmwew+ge4covoJRHajs5zhS2eUzsBGGivm5PjnT/xHql4oGjdyLp211oqvIfxHbH6wLZmX0dN+eiAxtWF6bQsvpsPB/4f/owqOPQs5xZ9lC39/8D6999BzfYvYz7zLrty7qS64xV8j63G96uvgG8Qc/RlWr66hfzvv4/Wr93EkHd6g+9p8FdKTcnvqhrN9a/bCWKDonWcbLUeZi7KTkJsNhodxST1nZpibzOz40gLn/7OHgLBS7TnD/UT13EYgI6msxGtz7DWw78GIHfpDSPrnBUbiRMf/p1fpzZYwkc2rebiqUw+t62KWm8WXy1+nOADtfxR+53kZrq4fZWVRZXqyuW6+/6Dlzb8lN/4ryLmjb/G/FMJ8oM/xNdZx8uxH2RR4BR7n/rTadVXg79SakqO3KspsrXR1t4B596GnKUQl8LJVjcxdqEklBram1xO3lBk77R/ebyN1w638NbJ9skLNe3HjjXO0FDnuYjWZ5g5v4tukihatGxkXdnqrQDE+3vZ41jFzcvyx73v6rwUbl6Wx7fePsf3jvg52tzHA1srcdjHhufbt22i77an2e77M54fuobPDN3PD2qe56YvfJ/d6bdwbcPT1L793+P2PxkN/kqpKSUWWJO7+5oOQf0eKL4OgJOtbkpdiSOBKpi5mAx66Wob3zY9WzrcVmrkj/fWT1rGfdJq8mk3KdBz8QjzkZHdc4C6+CWIzT6yLj0rjzO2EgDSln3AGjJjAg9sraTfF+AvX6ilKieJW5aP/5IAuH11IR/76Mf5l9SHuemu+3n4pmrsNmHp//kajbZcXK99Juz6avBXSk3JkWtNy11S/yL4+qGkBmAkzXNYQr6V8dMUwTF+2t1eAF6tbaa7f+Ic+d6Tb1MXzOZwsIQYT+S+iIb1dLZTGjxPf86acdtasmroMYls3vqhSd9fmZPMrSvyMQYe3FaF3Tb5LLfbluSw46HN3Lw8b2RdYnIa/R/6dzJN+JlNGvyVUlNLL8OHg5Xdr1nLxTV4/QHqOjxUXhD8syusTJe+84ciVpUOzxBlmYkM+YO88F7j+ALGkNS2j4O2KgbickjytkSsLsPq9u8AIHnRdeO2Lb/nUQY++StSkycYEfUCX7x5Cf9w2zLevyT3supQtXoz75T9UdjlNfgrpaZmd9DqLCbB9EN6GSTncra9n6CBiguCf05hBf0mFtMauYyfDreXDYsyWZKXwo/3TND003OeFH8nPa5VeBPzSA10QsAX9v6ffOsMf/viYX59og2vP7z5CfyHnqfPxLNozY3jtiUkppBbtGjKfWQlx/KH1xZju8Rd/1TWfezvwy6rwV8pFZbuxHIATKjJ58JMn2Fis9EQU0xib2QyfnyBIF39PlxJTu5YW8jBhh4ON/aOKdN5zJpRLLGiBlIKsGGgrzms/QeChkdfPca33jrD3U/sZtXfvs6DP9pP8BKZRcY3SGXnmxxIvoG4+Evf3Uea3RH+FC0a/JVSYRlMs+5ePTnXAFbwFxkdBnpYd2I5Od6zEalDl8dq489MiuXWlQU47TZ+vHfscBIdR99iwDhZvHw9jnQrXdITZq7/mXY3nqEAf3frUr5171quX5TJT/Y1UNfZP+l7Gve+RDL9DF1922V+qvmhwV8pFZb4yk30m1g+9Zskfnu6gxOtfRSmxxMXYx9Tzu9aTDad9HZ3TLKny9fuHg7+TtITnWxbmsNz++oZ8o8OJuds3ssRqWBxfgaJWaUAdDedCWv/w1NYritzseWqHB7cVgXAgfruSd/Tv+9HdJhkrq655XI+0rzR4K+UCsuS6z7I7rveo95kctc3fsvrh1tYdNFdP0BcvpUZ1Hhi/6zXocNjZfq4kmIBuPsq4cXgfez+/t8AVhNM3sBx2tNXYLMJ6XllAHjawhts7kB9D/Ex9pHpLCuzk4iLsfHe+Z6J3zDkoaj1F+yK20BuRvJMPtqc0+CvlArb5qvzeO2BTdy3uYJA0LCyKH1cmcxiaxTQ3sbZn9hlOMfflegE4Nr6JymUdjacfoydTz5C87FdOPHjLLGGWMjLzqbXxOPvDi/4H6zvYWl+yki/BYfdRnV+6qR3/u6DLxGHF3flrTP9aHNuViZwV0pFj3innc/fdBWfvqGcxNjxISS7qAKAoY7Z71k7nOPvSoqFngZk//cIrtrO3tNN1Jz9OmfPW0Mgl6zYDFjNQydxYe+buqOXPxCktrGXu9YVjVm/rDCVZ3afwx8Ijut12/vOD3GbdK5a9/5Z+HRzS+/8lVKXJS3BSYx9fAiJjU+mixRsvbM/rn+7e4gYu5AS54C3HwcMthseYvVnnmF3+s2UBs7SSBalpVZmkojQ5cgitn9srn+w5Si+Y6+NWXeqzcOAL8CygtQx61cUpjHoC3KyzT22MgPdZLX8ih3266kuzJj1zxppGvyVUrOuMyaHuP7Z71nb4fbiSoxF3K2w90lYfhekl2B3OFh7/9PsLPm/nF/2x2MGT/PE5ZLiGxv8Tz7zMP5n7iboH83/H37Yu7zwguDfUsum8/8GGA5c1O7vP/ISMcZHZ+mHZpSbP180+CulZl1/fD6pQ+Hl1k9Hh2cIV5ITdv4rBIZg44Mj22x2OzUf/0eu/b3PjXmPPzGPtGD36HSJxpDTs594Bjm47+2Rcgfru0l02inLvOAh9q8eJX3fv7Iqron3Lmr37937LOeDWVSt3jTrn3MuaPBXSs26QHIBuaaNfm/4PWvD0eH2UhLvhXeegOrfA1fFlO+RVKujl7fLavfvOldLqukD4OS+N0bKHWjoYWlB6ui4Ol43HPsZALelnuRA/QV3/n4vSU07+YVZzYbKrFn6dHNLg79SatbFZBSRKF7qmyYYe2cG2t1DfMD3Gvg8sPGhsN4T6yoGoCOU699w8E0AvDiJbXoHj9ePLxDkcGMvyy9s7z/23+AfAEccNVLL0ebekeEevKd34gwO0pO/YcKH3lcCDf5KqVmXmG3l13c0nJ61fRpj6PB4KfefgbRiyL46rPclZ1tDKvc1nwXAf2YnXSYZd/EWVpjjvHKomRMtbrz+IMsubO8/+CykFMDyOyl1v0sw4Odok/WL4fjOF/AZOzU3XnkpnsM0+CulZp0r32qO6WuZveDvGQow6AuS5auHjKmbe4Zl5luZP4OdVvZRVvd+TsUtIeOqjRTZ2nhj93scCj3sHcn06e+EUzug+nYo30yM381yOc2B+m78gSAxdb/ghPMqVlcWz9rnm2sa/JVSsy4ppxQA3+XOomUMdI794uhwewFD2sD5sNr6h+VkuegxCQR76vF0NVMQaMCTsxYpXg9A8PxuXjnURHKsg1JXaGC2w89D0A/VH4Eya1rGrXFHea++h5/vPUJV4DTOqhvHTcl4JdHgr5SadZKYhRcntt7LmEUrGISXH4LHV0Hj6BAR7e4hMujD6e8D19RDJA+Lsdtot2US426k7l3rAW9y1UbIXY6xx7LGdpw3j7VRXZA6mrJ56L+sY+StgMRMyKnmfbFHOFDfzf5fPodNDOXX/u70P9sCMqPgLyIZIvK6iJwI/T+ur7eIrBSRnSJSKyIHROTOmRxTKXUFEKE7Jpv4/mk+8A0G4MU/gT1PWMuN745s6nB7KZNQ34FpNPsA9MRkEz/YQv/Jt/AaB5UrN4DDiRSsZlO89QtjJL+/twnO/sa66x++sy/bRJX3MHUtnZT27GbIkYytcPX0PtsCM9M7/0eAHcaYSmBHaPli/cA9xpilwE3AYyKSNsPjKqUWuP74fNKGWghcYiz8MQJ+eO4+ePdpuOFPwZkErYdHNnd4hiizhfoOTKPZB2AgIY90Xysp7Xs5FVNJclJoELaidSzynySWodGHvbU/BYyVSjqsfBMOM8Qa23E2Ow5hX7QZbPaLD3NFmWnwvxV4KvT6KeDDFxcwxhw3xpwIvW4EWoErMzFWKRW2QEoh+dJOc+9gWOX3PPV5OPADBjY8Alv+wsrmaT0ysr3D7aVUmjFit7J9piGYlEcGPZR6j9OVccEde9G12Iyff9lsY9uSHPB7rS+f3GWQVTVaruQ6jNjZ7vg5ubRjX7RlWsdfiGYa/HOMMcN9uJuBnEsVFpF1gBOIzDQ/SqkFw5lRTLZ0c761K6zySU072R1czG2Hrqetz2sF/5Za6+EvVpt/paMFSS8Be8y06mJPswZrc0qA2PIL5tkttEb/fH9yHbEOO7z6RevXxqYvjN1BbDJSsIbfse22liuiIPiLyM9F5NAE/8YkuBpjDDDp7zsRyQOeBj5ujAlOUubTIrJHRPa0tbVN86MopRaSxBwr17+9MbyJVLJ8DXTFl1LX0c8d/7GT7uQqGOgEtzUuT7vbS7mtZVoPe4clZI3+UihZtXl0Q1IWZJTD+V1w4Efwzn9Czf1w9YfG76Q8NIxDehmkl067DgvNlMHfGLPVGFM9wb/ngZZQUB8O7q0T7UNEUoCXgS8aY357iWN9wxiz1hizNitLW4aUupKl5YYmUmmdOvj39XTiooeUgsV895PraHd7+Yu3Q5Onh9r9O/q8FJqmaT/sBUgLpZ6ekwKycgrHbiy6Fs78Gl78LBRfB1v/euKdlIWC//+Cu36YebPPC8D20OvtwPMXFxARJ/BT4DvGmGdneDyl1BXCnm41tYST699y1mrbj82uYE1JBv95z1re7gu1IrdYwd+4m4g3g9N+2AuQXWR19GpOXTF+Y9E68PZYD5h//9uTNykVXQvL74Q19077+AvRTIP/PwLbROQEsDW0jIisFZFvhsrcAdwA3Csi+0P/Vs7wuEqphS6lgCCCrbd+yqI9DcdDb1kMwLrSDEjMpNeeMfLQN9kT+hLJKJ92VRISU/jt4i+Q8zsPj9+4aCtkVsHvPwnJuZPvxOGE278BecunffyFaEYjEhljOoAbJ1i/B/hk6PV3ge/O5DhKqSuQIxa3I4OEMHL9h9pOAJBbao3XY7MJNRUujp4o4JrWWoJBg8tbDzFc1p0/wPo/+POJN6QVw/3vXNY+r2Taw1cpFTEDCXm4Am30Dl56aGd791naSSMpebQL0PUVmRz0FWJaj9DlGaRUmglIDKQWXWJPKlwa/JVSERNMKaJA2jnX0X/Jcomec7TF5I9Zd/0iF8dMITb/ID2NxymVZvqTiq/4zlULhQZ/pVTExGQUUyAdnOvwXLJc1lAD7oSxHbeKMxLoTLTSOocaDlEmTfhSyyJW12ijwV8pFTFJOWXEio/WlskHeBvw9JFNJ/600jHrRYTcilB2TkstJdKCXGZ7vxpPg79SKmLiXNZEKp6WyXP9m+uOAhCTPb7z1jWLi6kLZhN/7k3ixIczuzIyFY1CGvyVUpGTanWoOnPqqDVkwwS6649ZRfMXj9tWU+HiuCmidMDK9Y/PrRpXRl0eDf5KqcgJjamT4W/lS88dwpjxI8B4W600z+yS8dMyZifH0ZYw2tRjy5z+0A5qYhr8lVKRE5cGziRuKfbzs9pmXj7YNK6IdJ2hi2RSMyYe0sWZtxSAQWIhOS+i1Y0mGvyVUpEjAhnlLOt8lS+53uDLz+2j3T22+SfRXUerI3+SHUBe1RoAWmPywaYha7bomVRKRdaHv47kLuMTnm/yXOB+XvnOo2M2u7wN9CVM3nGrevkahoydrljt3DWbNPgrpSIrtxq2vwDbXyKYUsTdrY9ydM8OALyD/eSY9kvm76cmJbCv8rPY139qrmocFTT4K6XmRtlGkj/1Ar0k4PnF4wA01x3HJgZH5qUHa1v/sb+iesOVPWH6QqPBXyk1Z5JS0qnNu52Vfb+k8ewxuuqtHP/kfE3hnGsa/JVSc6r85gcJYuPcK19hsGXyNE8VWRr8lVJzKqewgvdS30d183PYWw7QZ+JJz9QUzrmmwV8pNedStzxAkgywuvt1Whz5iKZwzjk940qpOVe5ciO1zmXYxdATrymc80GDv1JqXviuuQ+AodTS+a1IlJrRNI5KKXW5lm+5k51nd5O/8Z75rkpU0uCvlJoXNrudmk89Nt/ViFra7KOUUlFIg79SSkUhDf5KKRWFNPgrpVQU0uCvlFJRSIO/UkpFIQ3+SikVhTT4K6VUFBJjzHzXYUIi0gccm+96LCCZQPt8V2IB0fMxSs/FWNF+PkqMMVlTFVrIPXyPGWPWznclFgoR2aPnY5Sej1F6LsbS8xEebfZRSqkopMFfKaWi0EIO/t+Y7wosMHo+xtLzMUrPxVh6PsKwYB/4KqWUipyFfOevlFIqQhZk8BeRm0TkmIicFJFH5rs+c01EikTkTRE5LCK1IvLZ0PoMEXldRE6E/k+f77rOFRGxi8i7IvJSaLlMRHaFrpEfiohzvus4V0QkTUSeFZGjInJERGqi9doQkc+F/kYOicgzIhIXzdfGdCy44C8iduBrwAeAJcAfiMiS+a3VnPMDDxljlgDrgT8OnYNHgB3GmEpgR2g5WnwWOHLB8j8BXzHGLAK6gE/MS63mx1eBnxljrgJWYJ2XqLs2RKQA+BNgrTGmGrADdxHd10bYFlzwB9YBJ40xp40xQ8APgFvnuU5zyhjTZIzZF3rdh/XHXYB1Hp4KFXsK+PD81HBuiUghcDPwzdCyAFuAZ0NFoulcpAI3AE8AGGOGjDHdROm1gdVXKV5EHEAC0ESUXhvTtRCDfwFw/oLl+tC6qCQipcAqYBeQY4xpCm1qBnLmqVpz7THg80AwtOwCuo0x/tByNF0jZUAb8O1QM9g3RSSRKLw2jDENwP8HzmEF/R5gL9F7bUzLQgz+KkREkoD/Ah4wxvReuM1YaVr/61O1ROQWoNUYs3e+67JAOIDVwNeNMasADxc18UTRtZGO9YunDMgHEoGb5rVSV5CFGPwbgKILlgtD66KKiMRgBf7vGWN+ElrdIiJ5oe15QOt81W8OXQ/8roicxWoC3ILV5p0W+qkP0XWN1AP1xphdoeVnsb4MovHa2AqcMca0GWN8wE+wrpdovTamZSEG/3eAytATeyfWA5wX5rlOcyrUpv0EcMQY888XbHoB2B56vR14fq7rNteMMX9mjCk0xpRiXQtvGGM+CrwJfCRULCrOBYAxphk4LyKLQ6tuBA4ThdcGVnPPehFJCP3NDJ+LqLw2pmtBdvISkQ9itfPagW8ZY748z1WaUyKyAfg1cJDRdu4/x2r3/xFQDNQBdxhjOuelkvNARDYDDxtjbhGRcqxfAhnAu8DHjDHe+azfXBGRlVgPv53AaeDjWDdyUXdtiMjfAHdiZci9C3wSq40/Kq+N6ViQwV8ppVRkLcRmH6WUUhGmwV8ppaKQBn+llIpCGvyVUioKafBXSqkopMFfKaWikAZ/pZSKQhr8lVIqCv0Pveb0KV5p5lEAAAAASUVORK5CYII= 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 " > </div> @@ -12432,10 +12572,10 @@ row. </div> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> -<div class="prompt input_prompt">In [21]:</div> +<div class="prompt input_prompt">In [27]:</div> <div class="inner_cell"> <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">({</span> <span class="s1">'Zscore'</span><span class="p">:</span><span class="n">Zscore</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="s2">"reconstructed"</span><span class="p">:</span><span class="n">Zscore_reconstructed</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">]})</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> +<div class=" highlight hl-ipython3"><pre><span></span><span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">({</span> <span class="s1">'Zscore'</span><span class="p">:</span><span class="n">Zscores</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">],</span> <span class="s2">"reconstructed"</span><span class="p">:</span><span class="n">Zscore_reconstructed</span><span class="p">[</span><span class="n">ids_masked</span><span class="p">]})</span><span class="o">.</span><span class="n">plot</span><span class="p">()</span> </pre></div> </div> @@ -12448,13 +12588,13 @@ row. <div class="output_area"> -<div class="prompt output_prompt">Out[21]:</div> +<div class="prompt output_prompt">Out[27]:</div> <div class="output_text output_subarea output_execute_result"> -<pre><matplotlib.axes._subplots.AxesSubplot at 0x7fc5dc9a6780></pre> +<pre><matplotlib.axes._subplots.AxesSubplot at 0x7f6295d61be0></pre> </div> </div> @@ -12467,7 +12607,7 @@ row. <div class="output_png output_subarea "> -<img 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 " > </div> diff --git a/Simulation/Causal_peaks_simulation.ipynb b/Simulation/Causal_peaks_simulation.ipynb index 1d93125..4ac6cdd 100644 --- a/Simulation/Causal_peaks_simulation.ipynb +++ b/Simulation/Causal_peaks_simulation.ipynb @@ -61,15 +61,6 @@ "execution_count": 6, "metadata": {}, "outputs": [], - "source": [ - "from sklearn.preprocessing import normalize" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], "source": [ "nsnp = 100" ] @@ -86,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -103,34 +94,34 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f66fea97780>" + "<matplotlib.axes._subplots.AxesSubplot at 0x7f62dd1c9978>" ] }, - "execution_count": 102, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "#beta[70] = 25\n", - "#beta[0] = 25\n", - "beta[50] = 50\n", + "beta[50] = 25\n", "pd.Series(beta).plot()" ] }, @@ -143,7 +134,7 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -152,29 +143,29 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([ 0.0854663 , 0.0990749 , -0.31028765, ..., 0.05790027,\n", - " -1.16503736, -1.57479899])" + "array([ 9.90853504, 0.60782578, -8.16853635, ..., 17.45639315,\n", + " 21.83301611, -3.16478165])" ] }, - "execution_count": 104, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "noise= np.random.normal(size=X.shape[0], scale=1)\n", + "noise= np.random.normal(size=X.shape[0], scale=10)\n", "noise" ] }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -183,16 +174,16 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.9992957901717454" + "0.7772947682136412" ] }, - "execution_count": 106, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -203,27 +194,29 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.collections.PathCollection at 0x7f66fee855c0>" + "<matplotlib.collections.PathCollection at 0x7f62dc653d30>" ] }, - "execution_count": 107, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -247,82 +240,65 @@ }, { "cell_type": "code", - "execution_count": 108, - "metadata": {}, - "outputs": [], - "source": [ - "Zscores = np.zeros(nsnp)\n", - "\n", - "for i in range(100):\n", - " Zscores[i] = X.iloc[:,i].dot(Y) / X.iloc[:,i].dot(X.iloc[:,i])\n", - " \n", - "\n", - "Zscores = (Zscores - Zscores.mean()) / np.std(Zscores)" - ] - }, - { - "cell_type": "code", - "execution_count": 109, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "1.0" + "100.0" ] }, - "execution_count": 109, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "np.std(Zscores)" + "nind = X.shape[0]\n", + "nind**0.5" ] }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 16, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "100" - ] - }, - "execution_count": 110, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "X.shape[1]" + "Zscores = np.zeros(nsnp)\n", + "# Compute standardize coefficient\n", + "for i in range(100):\n", + " Zscores[i] = X.iloc[:,i].corr(Y) \n", + " \n", + "# compute Zscores:\n", + "Zscores = Zscores*nind**0.5" ] }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f66feca0b38>" + "<matplotlib.axes._subplots.AxesSubplot at 0x7f62dc61d4a8>" ] }, - "execution_count": 111, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -350,7 +326,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -359,17 +335,19 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 2 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -389,7 +367,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -401,7 +379,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -424,21 +402,21 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "optimal eigen ratio 0.112 maximum correlation 0.94\n" + "optimal eigen ratio 0.1019 maximum correlation 0.98\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/home/hjulienn/.local/lib/python3.5/site-packages/numpy/core/fromnumeric.py:56: FutureWarning: \n", + "/home/genstat/virtual_envs/raiss_review/lib/python3.6/site-packages/numpy/core/fromnumeric.py:56: FutureWarning: \n", "The current behaviour of 'Series.argmax' is deprecated, use 'idxmax'\n", "instead.\n", "The behavior of 'argmax' will be corrected to return the positional\n", @@ -455,27 +433,29 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f66fea1deb8>" + "<matplotlib.axes._subplots.AxesSubplot at 0x7f62dc483630>" ] }, - "execution_count": 117, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -492,7 +472,7 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -501,45 +481,31 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 25, "metadata": { "scrolled": false }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/hjulienn/.local/lib/python3.5/site-packages/numpy/core/fromnumeric.py:56: FutureWarning: \n", - "The current behaviour of 'Series.argmax' is deprecated, use 'idxmax'\n", - "instead.\n", - "The behavior of 'argmax' will be corrected to return the positional\n", - "maximum in the future. For now, use 'series.values.argmax' or\n", - "'np.argmax(np.array(values))' to get the position of the maximum\n", - "row.\n", - " return getattr(obj, method)(*args, **kwds)\n", - "/home/hjulienn/.local/lib/python3.5/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", - " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" - ] - }, { "data": { "text/plain": [ - "Text(0.25,0.65,'cor : 0.94')" + "Text(0.25, 0.65, 'cor : 0.98')" ] }, - "execution_count": 119, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x432 with 3 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -563,27 +529,29 @@ }, { "cell_type": "code", - "execution_count": 120, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f66fe917898>" + "<matplotlib.axes._subplots.AxesSubplot at 0x7f62dc370588>" ] }, - "execution_count": 120, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -600,27 +568,29 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f66fe8e0e48>" + "<matplotlib.axes._subplots.AxesSubplot at 0x7f6295d61be0>" ] }, - "execution_count": 121, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -715,9 +685,9 @@ ], "metadata": { "kernelspec": { - "display_name": "test_jass_suite", + "display_name": "raiss_review", "language": "python", - "name": "test_jass_suite" + "name": "raiss_review" }, "language_info": { "codemirror_mode": { @@ -729,7 +699,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.6.7" } }, "nbformat": 4, diff --git a/Simulation/causal_example.ipynb b/Simulation/causal_example.ipynb deleted file mode 100755 index e369bcf..0000000 --- a/Simulation/causal_example.ipynb +++ /dev/null @@ -1,618 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Direct imputation with the presence of causal SNPs" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import seaborn as sns" - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "metadata": {}, - "outputs": [], - "source": [ - "import scipy" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "metadata": {}, - "outputs": [], - "source": [ - "import raiss" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline " - ] - }, - { - "cell_type": "code", - "execution_count": 92, - "metadata": {}, - "outputs": [], - "source": [ - "nsnp = 100" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create a vector of causal effect\n", - "\n", - "Draw causal effect in a normal distribution centered around zero\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "metadata": {}, - "outputs": [], - "source": [ - "beta = np.random.normal(size=nsnp)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Insert one causal SNPs" - ] - }, - { - "cell_type": "code", - "execution_count": 94, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec669c95f8>" - ] - }, - "execution_count": 94, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "beta[24] = 60\n", - "beta[74] = -60\n", - "beta[50] = 60\n", - "pd.Series(beta).plot()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Create a matrix of Linkage desiquilibrium\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate a linkage desiquilibrium by:\n", - "\n", - "* draw correlation in a uniform distribution\n", - "* apply a explonetial decay with distance" - ] - }, - { - "cell_type": "code", - "execution_count": 95, - "metadata": {}, - "outputs": [], - "source": [ - "LD = np.random.uniform(low=0.4, high=1.0, size=(nsnp,nsnp))" - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": {}, - "outputs": [], - "source": [ - "def exponential_decay(nsnp):\n", - " exp_decay = np.zeros((nsnp, nsnp))\n", - " dec = np.exp(-np.linspace(0,4,nsnp))\n", - " for i in range(nsnp):\n", - " exp_decay[i] = np.roll(dec, i)\n", - "\n", - " tr = np.triu(exp_decay, k=1)\n", - " tr = tr + np.transpose(tr)\n", - " np.fill_diagonal(tr,1)\n", - " return(tr)" - ] - }, - { - "cell_type": "code", - "execution_count": 97, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec66d1d4e0>" - ] - }, - "execution_count": 97, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 2 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "M_dec = exponential_decay(nsnp)\n", - "np.fill_diagonal(LD, 1)\n", - "LD = (LD + LD.transpose()) / 2\n", - "LD_cor = np.multiply(LD,M_dec)\n", - "sns.heatmap(LD_cor)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Derive Z_score from causal effect" - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(100,)" - ] - }, - "execution_count": 98, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "beta.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [], - "source": [ - "Zscore =(beta.dot(LD_cor))/ nsnp" - ] - }, - { - "cell_type": "code", - "execution_count": 100, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec6627bd68>" - ] - }, - "execution_count": 100, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pd.Series(Zscore).plot()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Test Raiss imputation\n", - "\n", - "Mask some SNPs in the Zscore vector and test the raiss model for different eigen_ratio.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": {}, - "outputs": [], - "source": [ - "n_masked = 40\n", - "ids_masked = np.random.choice(100, n_masked, replace=False) \n", - "\n", - "ids_known = np.setdiff1d(np.array(range(100)), ids_masked)" - ] - }, - { - "cell_type": "code", - "execution_count": 102, - "metadata": {}, - "outputs": [], - "source": [ - "rd_list = np.linspace(0.001,1, 100)\n", - "cor_perf = pd.Series(index=rd_list)\n", - "\n", - "\n", - "# Compute correlation between true and imputed values:\n", - "for rd in rd_list: \n", - " imputed = raiss.stat_models.raiss_model(Zscore[ids_known], pd.DataFrame(LD_cor[ids_known,:][:,ids_known]), LD_cor[ids_masked,:][:,ids_known], rcond=rd)\n", - " cor_perf[rd] = np.corrcoef(imputed['mu'], Zscore[ids_masked])[0,1]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "optimal eigen_ratio and corresponding correlation" - ] - }, - { - "cell_type": "code", - "execution_count": 103, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "optimal eigen ratio 0.0313 maximum correlation 0.96\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/genstat/virtual_envs/raiss_review/lib/python3.6/site-packages/numpy/core/fromnumeric.py:56: FutureWarning: \n", - "The current behaviour of 'Series.argmax' is deprecated, use 'idxmax'\n", - "instead.\n", - "The behavior of 'argmax' will be corrected to return the positional\n", - "maximum in the future. For now, use 'series.values.argmax' or\n", - "'np.argmax(np.array(values))' to get the position of the maximum\n", - "row.\n", - " return getattr(obj, method)(*args, **kwds)\n" - ] - } - ], - "source": [ - "print(\"optimal eigen ratio {0} maximum correlation {1}\".format(np.round(np.argmax(cor_perf), 4), np.round(cor_perf.loc[np.argmax(cor_perf)], 2)))" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec6649c6a0>" - ] - }, - "execution_count": 104, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "cor_perf.plot()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Comparison between the imputed and the original signal" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 106, - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.25, 0.65, 'cor : 0.96')" - ] - }, - "execution_count": 106, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x432 with 3 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "imputed = raiss.stat_models.raiss_model(Zscore[ids_known], pd.DataFrame(LD_cor[ids_known,:][:,ids_known]), LD_cor[ids_masked,:][:,ids_known], rcond=np.argmax(cor_perf))\n", - "\n", - "Zscore_reconstructed = np.copy(Zscore)\n", - "Zscore_reconstructed[ids_masked] = imputed['mu']\n", - "\n", - "sns.jointplot(Zscore[ids_masked], imputed['mu'] , kind='reg')\n", - "cor = np.corrcoef(Zscore[ids_masked], imputed['mu'])[0,1]\n", - "plt.gca().annotate('cor : {0}'.format(np.round(cor,2)), xy=(0.25, 0.65))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Complete signal" - ] - }, - { - "cell_type": "code", - "execution_count": 107, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec66478b70>" - ] - }, - "execution_count": 107, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 432x288 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pd.DataFrame({ 'Zscore':Zscore, \"reconstructed\":Zscore_reconstructed}).plot()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Zoom on only masked and imputed fragment:" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7fec65fd5438>" - ] - }, - "execution_count": 86, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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- "nbformat_minor": 2 -} diff --git a/Simulation/causal_simulation.py b/Simulation/causal_simulation.py index beda3f7..a9980aa 100755 --- a/Simulation/causal_simulation.py +++ b/Simulation/causal_simulation.py @@ -28,10 +28,12 @@ def compute_Y(beta, X, sig=1.0): return Y def compute_Zscore(Y, X): + nind = X.shape[0] Zscores = np.zeros(X.shape[1]) for i in range(X.shape[1]): - Zscores[i] = X.iloc[:,i].dot(Y) / X.iloc[:,i].dot(X.iloc[:,i]) - Zscores = (Zscores - Zscores.mean()) / np.std(Zscores) + Zscores[i] = X.iloc[:,i].corr(Y)# X.iloc[:,i].dot(Y) / X.iloc[:,i].dot(X.iloc[:,i]) + Zscores = Zscores*nind**0.5 + #Zscores = (Zscores - Zscores.mean()) / np.std(Zscores) return Zscores def generate_one_causal(amplitude, LD_cor, X): @@ -76,7 +78,6 @@ def best_rd(zscore, LD_cor, ids_known, ids_masked): "rcond":np.argmax(cor_perf)}) if __name__=="__main__": - os.chdir("/home/hjulienn/Project/raiss/Simulation/") #get genotype X = pd.read_csv("./data/genotype.csv", sep="\t") nsnp = X.shape[1] @@ -89,11 +90,11 @@ if __name__=="__main__": ids_known = np.setdiff1d(np.array(range(100)), ids_masked) amplitude_effect = pd.Series(index=np.arange(0,50,1)) - tag = "one_positive" + tag = "two_opposite" for amp in amplitude_effect.index: print('search of best rd for amplitude {}'.format(amp)) - signal = generate_one_causal(amp, LD_cor, X) + signal = generate_two_opposite(amp, LD_cor, X) Zscore = signal["Zscore"] beta = signal["causal"] diff --git a/Simulation/results/Beta_one_positive.csv b/Simulation/results/Beta_one_positive.csv index 3d9a14e..1bb72dd 100644 --- a/Simulation/results/Beta_one_positive.csv +++ b/Simulation/results/Beta_one_positive.csv @@ -1,100 +1,100 @@ -0,-0.20391320410738456 -1,0.5896547542873918 -2,0.37144892788629014 -3,0.650166489107797 -4,-1.131375436310386 -5,-0.9259078813459047 -6,-0.2921084599419763 -7,2.358943196845763 -8,0.655846455683395 -9,-0.032651495636440306 -10,1.7444149724575428 -11,-0.17465089932412567 -12,0.7455382421872849 -13,0.4061550191519106 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extensions = [ 'sphinx.ext.autodoc', 'sphinx.ext.napoleon', 'sphinx.ext.coverage', + 'nbsphinx', 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autosummary', @@ -66,7 +67,7 @@ language = None # List of patterns, relative to source directory, that match files and # directories to ignore when looking for source files. # This pattern also affects html_static_path and html_extra_path . -exclude_patterns = [] +exclude_patterns = ['_build', '**.ipynb_checkpoints'] # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'sphinx' diff --git a/raiss/imputation_R2.py b/raiss/imputation_R2.py index ae036ff..6116ae8 100644 --- a/raiss/imputation_R2.py +++ b/raiss/imputation_R2.py @@ -42,12 +42,12 @@ def imputation_performance(zscore_initial, zscore_imputed, masked): """ try: fraction_imputed = 1.0-zscore_imputed.loc[masked, "Z"].isnull().mean() - cor = zscore_initial.loc[masked, "Z"].corr(zscore_imputed.loc[masked, "Z"].fillna(0)) - cor_on_imputed = zscore_initial.loc[masked, "Z"].corr(zscore_imputed.loc[masked, "Z"]) - return {'fraction_imputed':fraction_imputed, 'cor':cor, 'cor_on_imputed':cor_on_imputed} + #cor = zscore_initial.loc[masked, "Z"].corr(zscore_imputed.loc[masked, "Z"].fillna(0)) + cor = zscore_initial.loc[masked, "Z"].corr(zscore_imputed.loc[masked, "Z"]) + return {'fraction_imputed':fraction_imputed, 'cor':cor} except KeyError: # If KeyError none of the masked_SNP are in the imputed dataframe res = np.nan - return {'fraction_imputed': np.nan, 'cor':np.nan, 'cor_on_imputed':np.nan} + return {'fraction_imputed': np.nan, 'cor':np.nan} def z_amplitude_effect(zscore_folder, masked_folder, output_folder, ref_folder, ld_folder, gwas, z_treshold = [0, 1.0, 2.0, 3.0, 4.0, 5], window_size= 500000, buffer_size=125000, eigen_ratio = 0.1, chrom="chr22", l2_regularization=0.1, R2_threshold=0.6): """ @@ -100,7 +100,7 @@ def z_amplitude_effect(zscore_folder, masked_folder, output_folder, ref_folder, n_cpu = multiprocessing.cpu_count() R2_val = Parallel(n_jobs=n_cpu)(delayed(run_imputation)(z, i) for i,z in enumerate(z_treshold)) - R2_serie =pd.DataFrame(R2_val, columns = ['fraction_imputed','cor','cor_on_imputed'], index = z_treshold) + R2_serie =pd.DataFrame(R2_val, columns = ['fraction_imputed','cor'], index = z_treshold) return(R2_serie) @@ -154,9 +154,9 @@ def grid_search(zscore_folder, masked_folder, output_folder, ref_folder, ld_fold res = np.nan R2_serie.loc[rd, 'cor'] = res["cor"] - R2_serie.loc[rd, 'cor_on_imputed'] = res["cor_on_imputed"] + R2_serie.loc[rd, 'fraction_imputed'] = res["fraction_imputed"] print(len(masked_SNP)) - print("Result for rd {0} = cor: {1}, cor_on_imputed: {2}, fraction_imputed: {3}".format(rd, res["cor"], res["cor_on_imputed"],res["fraction_imputed"] )) + print("Result for rd {0} = cor: {1}, cor_on_imputed: {2}, fraction_imputed: {3}".format(rd, res["cor"],res["fraction_imputed"] )) return(R2_serie) -- GitLab