From 83244900832ea5a0409c7d623143540c1c7f6ae3 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Thu, 9 Jan 2025 16:29:49 -0500 Subject: [PATCH 1/2] Fixed bug in tutorial --- .../Tutorial-ECT_for_embedded_graphs.ipynb | 22 +++++++++--------- ...s_Tutorial-ECT_for_embedded_graphs_3_1.png | Bin 12066 -> 11391 bytes ...s_Tutorial-ECT_for_embedded_graphs_7_2.png | Bin 12310 -> 11638 bytes ...Tutorial-ECT_for_embedded_graphs.ipynb.txt | 22 +++++++++--------- docs/doctrees/ect_on_graphs.doctree | Bin 108821 -> 108821 bytes docs/doctrees/embed_cw.doctree | Bin 101878 -> 101878 bytes docs/doctrees/embed_graph.doctree | Bin 212562 -> 212562 bytes docs/doctrees/environment.pickle | Bin 142610 -> 142610 bytes .../Tutorial-ECT_for_embedded_graphs.ipynb | 22 +++++++++--------- ...s_Tutorial-ECT_for_embedded_graphs_3_1.png | Bin 12066 -> 11391 bytes ...s_Tutorial-ECT_for_embedded_graphs_7_2.png | Bin 12310 -> 11638 bytes .../notebooks/Matisse/Matisse_ECT.doctree | Bin 31177 -> 31177 bytes .../Tutorial-ECT_for_embedded_graphs.doctree | Bin 62028 -> 61472 bytes .../Tutorial-ECT_for_embedded_graphs.html | 18 +++++++------- .../Tutorial-ECT_for_embedded_graphs.ipynb | 22 +++++++++--------- docs/searchindex.js | 2 +- paper/generating_figures.ipynb | 0 17 files changed, 54 insertions(+), 54 deletions(-) create mode 100644 paper/generating_figures.ipynb diff --git a/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb b/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb index bd76f7b..8c284b7 100644 --- a/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb +++ b/doc_source/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -42,13 +42,13 @@ "" ] }, - "execution_count": 57, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ "{'A': (1, 2), 'B': (3, 4), 'C': (5, 7), 'D': (3, 6), 'E': (4, 3), 'F': (4, 5)}" ] }, - "execution_count": 53, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-2.0, -2.5), 'B': (0.0, -0.5), 'C': (2.0, 2.5), 'D': (0.0, 1.5), 'E': (1.0, -1.5), 'F': (1.0, 0.5)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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" ] @@ -149,7 +149,7 @@ } ], "source": [ - "G.set_mean_centered_coordinates()\n", + "G.set_centered_coordinates(type = 'min_max')\n", "print(G.coordinates)\n", "G.plot()" ] diff --git a/docs/_images/notebooks_Tutorial-ECT_for_embedded_graphs_3_1.png b/docs/_images/notebooks_Tutorial-ECT_for_embedded_graphs_3_1.png index e9eb3c44dd5257576264de6bcdafe478002947fa..26407234a3e3dfe481d719621f80e392df96ab2a 100644 GIT binary patch literal 11391 zcmbVy1z42b*7neXBQSJHrwR;$IJC5*goHFmh%^j6fOLa^go31mq?B|wsI-8H)KJnL zf)fA6_x$hoopZkPUH|oa$@R=U&)#dtJbT^izSjzWq@s9@h>i#Xfm}o0ms5v8uvEZb z+7*0o$NMCC1zbd2d+6lucYvwhk_~R;J8u=1$I54)%h4B76e3m@Qpg zP|l+K{C0mg;B#=Y;2)vgVgW`7QTKJ7ArKOi%Rj7qsXQwPE0Iq4%(~fru_&mHuWiB?u!BjV^V$K674ZMZK4W)e>g0}Yb zZM2ypO7IeU3ZueuiR{>Kboi_|Un+6JKlP=~GQkB{oW%r}`<7CF zu6qpZCyCSy8l#;hm%aD`xFcA@!nkeg(bV_k5^QNw<>bf&5aD6$rYJHPvJ=D38W+}v zlw*el#)sW!#pi;>%7y4`53L{0Z%kC&S5*yVzEVCT0gHW-#oa!KV&>;35jET~`)E<_U+rIO;6(MW%wtBNai&{nN-$6;{^p|CcHL$A;WLNN#ho#PnuZL)P zbR%o}nKya;F9RJ7HEw6u?8|wUSku`_%R2AOiyR1_-YrQzr`c+@zv79b{voeb=&b1e z@6R=F>CG7Q+kFodm!RFL zbzF*6bu70R!*8%HyXEn`Q*?0Cu6ruwLzd(+EfoAH^Uu8P$fvLd%!!ReV@jGXh?+#` z$(g2bW%YgxH6BcEw_&;}YNx&;tR-r+JAZxW+%PaK(V1poV9lzvY{In0R+sn%-fOyc zam^8P`_{vB8d$QV8RsHP_C~W>hF2qNbfs%%@d%4ozhqp1^XCK}Qe2Z!Oemz z^#*#|q4glYeg2v=!jRp&#v3^)91i-Wtz);t9p%OB7ODNx!-pot+L6SyF5! z`vwEPgQKJ9q_F#w-#1lo8yXEQ8bw*RuGcc`O3FbjHU`4RNjT>*&-eT9I<9`<5I-1_ zl};=wDG8adWlY}N-)EcVfE9H5P13tG4_F3B@{$Mo+Gx8-#YP|yPkhf@Z|Q!(_3-cj zT?z|jR8Z^fqHekP(-$k2DpLQ-arR z@$JW4tX;=f`>Lyj8}~ln{5Uw+lWSgK{89vQO%w~9={VPvaWfQI?1l_puBuNi;UGV6 ztm`cQEnc;QSSJY6O+~rebUwr*b100W)Gt`N_tC`LyUpT{o^{PK@SV2c@RG_4tfYly ziZ|8j?1s|dfTI~F&F(K^u=a+ntmVvR3N@&Tk>5$IG*m4mHy$EHn^+;0WXO$+ROHmI z)NqjG0*AW(wYbCGp|`{9LdU;uVp>4<7UL8 z_p@+wW4`PCu}Z|Q2O8P_X@tB516CdWSbZQ9PM0KUZTHs$_F?eA{jUeupGcGZe*Kw~ z8ur82tp{pee?7SOi7LrY_>WmNY-D#UZskbUZ#W{H?A{0b+!(FD9x!lt8DoF{Yf_GH zLqMbPKaEW9^ZKu5SN&N91&;MqrF$v7^(2Au_oc0&O7|N6`iy0LO^Ka8FmpF;-IR}z4&`~RnM1eq+x3~TQ5V&;6h0S6)Yq%T8}?bf7}PQ$mP^1WcfKWW@e0%`kx&f95A!7 zvAu4{Wgi=!jybGSMtu2-*QDatLw~IO^{y{CaKgMP!KX?ZI=_vLqrVOh`@a#im=~Kp zA+C0qW!!e6;NnQ3Nlh36fcLGehSt86MhIS-H%`CfBz|@6y|CAD*r>tbr=+388E z!|qy(wjewZ!|jO%t3rJp7jC;g|NKX-m3wQ_Z}Z=F>H87}lKU2?o9_H?_uVh3Jz{Kw z?O!-rp1<;!J}ulNdd>f2pcNXx>xp*R<@2+w1-}Y|)q0!|>7tqOW$}`i7u>yq?GG1j|n@erdlqs3W6_#9Qc&>UghPu`?ISbVH5aYG@0e z{y>yv{!rr~6*dF}6zEa$CY9C_v+A&#;%BzQ?_x&_pEROjzEMI?WVUb-` zMM=)7^r%qsOHzG&8tl5=FPhsQm}xZTnq7QG#s45Jmv9z)GTGyB-g=?9fPD+8-?RYo z6b+zau4|*rHl)F&gG(XB4N_~HE9%|tVi;dBVK1pvzMA(n7Mx<$D_@Y-V?Vd1BgM9A zaemJFN?pRzdU4Hs)wt2s`sm&z83%{$u<(x=ZVlv4Q&Dr*Yq1R@F2q7EVONFrD2o`l zzF0*@lSsbU9E`Z@8b!7JbVPf*%*JF5NsPo1jn7_u1}5t6%#~UdSJyjz&-RBp$@eKf z0xUiho@z2AHB_PDT)a`wRP_x&BJhZz+E2V+@z&$U1&n|YxO&pQBUd@)&xCrU&IK4f z7GbA*i7n7tmB)`MJv}``a-*Z8^CLN39|*|##)ej$NI+V@71Z$5Gu<(cWE4TRNY~ZX zB?*{yhYi{{pFI0!>#uktN`Vc;#tKSu=fJnJ?(Mo@_TETkFZ=pj3-n<9@}POkop$cK zPh~W(rwe-;3y579Rno;p<||&mrcz25*ZrDxKSezXADm4~5;MP*y#f*e%M0usPt0md z(9KQX?pGrj_Z$YKkHCu=z|yttsTCQHBYXToewo|zDf=0Iv3?D)^YTC!Sk_L{wl|6I zuaS(MwW8AbG3_UhFMsBUd4>&JOA-&H`e5v|_Jyp2pO39*_fyrjAo-Z%Chcj(Qu0S? 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"metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ "{'A': (1, 2), 'B': (3, 4), 'C': (5, 7), 'D': (3, 6), 'E': (4, 3), 'F': (4, 5)}" ] }, - "execution_count": 53, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-2.0, -2.5), 'B': (0.0, -0.5), 'C': (2.0, 2.5), 'D': (0.0, 1.5), 'E': (1.0, -1.5), 'F': (1.0, 0.5)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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" ] @@ -149,7 +149,7 @@ } ], "source": [ - "G.set_mean_centered_coordinates()\n", + "G.set_centered_coordinates(type = 'min_max')\n", "print(G.coordinates)\n", "G.plot()" ] diff --git a/docs/doctrees/ect_on_graphs.doctree b/docs/doctrees/ect_on_graphs.doctree index b4502cbb06615f669135d32f8c6b21aaf3a1bd80..202542809c55b68d9ad3cf7539e291c3bbf98300 100644 GIT binary patch delta 2052 zcmZXVYfKbZ6vw#+_5q@6q@wXr6)}Q#p|RBn))z${DAUo*pS{4=v zRI=8@JL-ovX-rM}p%|r8OWMZ9(xi!r&8lCFE>*Ox+SXcYwXejq=iCbuY(Mb-&-tBm z?>+a<+~w#M+tDkwGhREL;HaY~?OuAiV!bIi`c{*fbhvD0mJv&rL|xESVRwtKxiMhG zQe?G33K}to)Ko7u2;zR~FU^}`6J=dicN;N#lh)AcmjZO4bjg~DqNeICa(ye$rSTzb zCL=acRs*`v@Av7lrouqKEJ|uXGGb1>Ro7Z%pFcqVE}2K4lxDZzOioIQxyH}tZVBjy za+~pII&?QR7)k>9=yKwIhQ2{GXN`xNjyB20evc$= zbiaJ`2%>bWe-7`^t7VJG^&{mk*=}JzpK7JKPPg0~QtJ)n25l^P;O3PdQE*`4t75 zR34$+LHP}2u5uk8AERK8$`h0uD8HlJHJ5qfWFdCaXOA9N`!_7Mv2Ob8OF!fhcGPE2 zDbf1r;)=5Q7#=nj#iqI4dGLPt-{=?PZVnl-OnTx`COuVgi6m&GvVh#ApHxhp$j&y$YlqRmjZpT16YYq>;UTEsWq0YYhr+(6z$y@hneEFv#DMkO~!J% 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KsiKNHuXSmq218l34CuThcthtctptemJRSUKHC60xGI1vtERSaWzt1OrKGu1uaJbDbhs0aLq2zyscrXWLpyVsW0zirDEMH99oCQwgPztNm5aXqv54hzZXu1VV1yR3S2evG2PadP4iyrIpuVp6Y0FCny3WhdYYzMAMBknP4/XpjT/t09eXfkMvv/Sv+src6xP+Cv2ePvroI11zzTUqLy/XU089ZXU5iHGhfIZzFhmSXrrLqUmXjNDZY3WadMmIpAoXzhqDmZLnNwlAH7TGYCZmMECS4qwxmI2AAZIQrTFEAy0yIAnRGkM0MIMBkgytMUQLAQMkEVpjiCZaZEASoTWGaGIGAyQJWmOINgIGSAK0xmAFWmRAEqA1BiswgwESHK0xWIWAARIYrTFYiRYZkMBojcFKzGCABEVrDFYjYIAERGsMsYAWGZCAaI0hFjCDARIMrTHECgIGSCC0xhBLaJEBCYTWGGIJMxggQdAaQ6whYIAEQGsMsYgWGZAAaI0hFjGDAeIcrTHEKgIGiGO0xhDLaJEBcYzWGGIZMxggTtEaQ6xjBgPEoeG0xjxenw63eHTWF1CK066JOelKd/Erj+jhbxsQhwZqjdUf79DmareqDjbJ3dqpYI99bJIKstNUVpyrJaUFKhqbEfW6kVwIGCDO9Ncaa2zt1OrKGu1uaJbDbpM/EOyzX1DSkdZObao+ohffPax5haO1bvE05WenRfkdIFmwBgPEkf5aY1v2ujX/R7v0zqGW82P6CZder3Fh+zuHWjT/R7u0Za/b3KKRtJjBAHHk4tbYz6rq9eSbdWG9lj8QlD8Q1HdfrVHzKa9WlBUZXC2SHTMYIE5c3Brbstcddrhc7Mk36/QKMxkYjBkMEAcubo01tnZqzdbaAcef+vMOtfz+6X63Zd74t7r0i/f1ef4HW2s154rRrMnAMAQMEAcubo2tfrlaviHWWiQpa94SObMu6/VcypgJ/Y71BYJaXVmjTctLDakZIGCAGHdxa6z+eId2NzQPa9/UyTPlyhve2oo/ENTuhmY1NHWoMJdTmBG5kNZgHn/8cdlstl6PqVOnmlUbkPT6O2tsc7VbDrvNlOM57Da9tIe1GBgj5BlMSUmJduzY8fkLOJkEAWbp74LKqoNNQ56K3CXg9cjf2dbrOUda1oDj/YGgquqa9LhKwi8auCDkdHA6nbrsssuGHgggIv1dUHnK65O7tXPYr9G05Xt9npvw3dcG3cfd0imP18dtZRCxkP8G1dfXa9y4cRo5cqRmz56tiooKFRQUDDje6/XK6/V2/9ze3h5epUASGeheY0daPBre3OW87AUPypl9eUjHDko63OJRybiBZzrAcIQUMKWlpXrxxRdVXFysY8eOae3atZo3b54+/PBDZWT0vyhYUVGhtWvXGlIskCwGutfYWV8gpNdJyZsy7EX+nkI9DtCfkBb5Fy5cqDvvvFPTp0/Xl7/8Zf3+97/XyZMn9atf/WrAfVatWqW2trbuR2NjY8RFA4lssNvwpzijc210tI6DxBZRk/WSSy7RlClT1NDQMOAYl8sll8sVyWGApDHUbfgn5qTLJoXUJguV7cJxgEhF9M+UU6dO6a9//avy8vKMqgdIal2tsY0bN/b7DZXpLqcKTL7SviAnjQV+GCKkgHnssce0a9cuHT58WO+8844WL14sh8Ohe++916z6gKTRszU2Z86cAceVFeeaeh1M2ZRcU14bySekgPnkk0907733qri4WHfddZdycnK0Z88ejRkzxqz6gKQwnG+o7LKktGDY18GEXEcgqKU3DnxWKBCKkObBW7ZsMasOIKl1tcbefvvtfltjPRWNzdC8wtF651DLgEEzavp8jZo+P6QaHHab5kzO4TYxMAynigAWG25rrKd1i6fJaXCbzGm3ad3iaYa+JpIbAQNYKJTWWE/52Wlau8jY27k8saiEW/XDUJwqAlgolNbYxe6ZVaDmU15DvnTs2wuKdfcs1l5gLAIGsEg4rbGLrSgr0uhRLq3ZWivfha9AHi6H3San3aYnFpUQLjAFLTLAAuG2xvpzz6wC7Vh5s+ZMzpGkIU9h7to+Z3KOdqy8mXCBaZjBABaIpDXWn/zsNG1aXqr64x3aXO1WVV2T3C2dva74t+n8RZRlU3K19MYCzhaD6QgYIMqMaI0NpGhshh5fVKLHVSKP16c3/rRPX1/6Db380r/qK3Ov5wp9RBUtMiCKjGyNDSXd5dSkS0bo7LE6TbpkBOGCqONvHBBFRrfGgFjGDAaIEjNbY0AsImCAKIhmawyIFbTIgCigNYZkxAwGMBmtMSQrAgYwEa0xJDNaZICJaI0hmTGDAUxCawzJjoABTEBrDKBFBpiC1hjADAYwHK0x4DwCBjAQrTHgc7TIAAPRGgM+xwwGMAitMaA3AgYwAK0xoC9aZIABaI0BfTGDASJEawzoHwEDRIDWGDAwWmRABGiNAQNjBgOEidYYMDgCBggDrTFgaLTIgDDQGgOGxgwGCBGtMWB4CBggBLTGgOGjRQaEgNYYMHzMYIBhojUGhIaAQdLzeH36+OQ5peRN0ccnz8nj9fUZQ2sMCB0tMiSl+uMd2lztVtXBJrlbOxWUlLfsn/V/tjfrse3bVJCdprLiXC0pLVDR2AxaY0AYCBgklcbWTq2urNHuhmY57Db5A8E+Y4KSjrR2alP1Eb347mFdl5eqbf/vp7TGgBARMEgaW/a6tWZrrXwXQqW/cOmpa/sHn57SmPt+ohlfnWZ6jUAiIWCQFH5WVa8n36wLb2e7Q5JDP3jtI7WfDWhFWZGhtQGJikV+JLwte93hh8tFnnyzTq/sdRvyWkCiYwaDhNbY2qk1W2v73XbqzzvU8vunez1nT8vSiNEFyir9G6VeMbPf/X6wtVZzrhit/Ow0o8sFEgozGCS01ZU13WsuA8mat0Q5t/8f5dz+qDJL/0aBzjY1/dvj6mx4r9/xvkBQqytrzCgXSCjMYJCw6o93aHdD85DjUifPlCvv83WVUTMW6JOfLJXnwC6lFd7QZ7w/ENTuhmY1NHWoMDfD0JqBRBLRDGb9+vWy2Wx65JFHDCoHMM7marccdlvI+9ld6bKNSJHN7hhwjMNu00t7WIsBBhN2wOzdu1fPPvuspk+fbmQ9gGGqDjYNeSqyJAW8Hvk72+TvbNPZ/z6i1m3PKHj2jNJLygbcxx8IqqquychygYQTVovs1KlTWrJkiZ5//nlum4GYdMrrk7u1c1hjm7Z8r/cTjhHK+R8PK3XStYPu527plMfrU7qLTjPQn7B+M8rLy3Xbbbdp/vz5QwaM1+uV1+vt/rm9vT2cQwIhOdLi0dBzl/OyFzwoZ/blkiS/54Q8tTvV8vpPZE9JVVrxwFfuByUdbvGoZFxW5AUDCSjkgNmyZYs++OAD7d27d1jjKyoqtHbt2pALAyJx1hcY9tiUvCm9FvnTr7pZx37xkFq3/1yphbNkc4ww5DhAsglpDaaxsVEPP/ywNm/erJEjRw5rn1WrVqmtra370djYGFahQChSnOGfv2Kz2TVywnT5T7XqXOtR044DJLqQZjD79u1TU1OTrrvuuu7n/H6/3nrrLf3sZz+T1+uVw9H7zBuXyyWXy2VMtcAwTcxJl00adpusj4BfkhQ8d2bAIbYLxwHQv5AC5tZbb1VNTe8LzO6//35NnTpV3/nOd/qEC2CVdJdTBdlpOjLMhf6egn6fTn/8n5LDqRE5+QOOK8hJY4EfGERIvx0ZGRm6+uqrez2Xnp6unJycPs8DVisrztWm6iNDnqp8+tD7OtfyiSQp0HlSngO75DtxVJk3/q3srv5vB+Ow21Q2JdfwmoFEwj+/kLCWlBboxXcPDzmubffm7v+2OVPkzB6v7C//b426ZuGA+/gDQS29scCIMoGEFXHA7Ny504AyAOMVjc3QvMLReudQS7+zmFHT52vU9Pkhv67DbtOcyTncJgYYAqfAIKGtWzxNzjBuFzMYp92mdYv58jFgKAQMElp+dpoev/0qQ1/ziUUl3KofGAYCBgktEAho5y/W6eRbmwx5vZO7/lWdH/7BkNcCEh0Bg4QVCAT04IMP6vnnn9fT3/yK1v/PaXI57SHfYdlht8nltKti8dW6d0a2li9fro0bN5pUNZA4OIsMCalnuPziF7/QfffdJ0mae8Vora6s0e6GZjnstkFPYe7aPmdyjtYtnqb87DTdPfMZSdLy5cslnb8ODED/CBgknIHCRTq/JrNpeanqj3doc7VbVXVNcrd09rri36bzF1GWTcnV0hsLep0tZrfb9cwzhAwwHAQMEspg4dJT0dgMPb6oRI+rRB6vT4dbPDrrCyjFadfEnPRBr9AnZIDhIWCQMIYbLhdLdzlDvuU+IQMMjYBBQgg3XCJByACDI2AQ96wIly6EDDAwAgZxzcpw6ULIAP0jYBC3YiFcuhAyQF8EDOJSLIVLF0IG6I2AQdyJxXDpQsgAnyNgEFdiOVy6EDLAeQQM4kY8hEsXQgYgYBAn4ilcuhAySHYEDGJePIZLF0IGyYyAQUyL53DpQsggWREwiFmJEC5dCBkkIwIGMSmRwqULIYNkQ8Ag5iRiuHQhZJBMCBjElEQOly6EDJIFAYOYkQzh0oWQQTIgYBATkilcuhAySHQEDCyXjOHShZBBIiNgYKlkDpcuhAwSFQEDyxAunyNkkIgIGFiCcOmLkEGiIWAQdYTLwAgZJBICBlFFuAyNkEGiIGAQNYTL8BEySAQEDKKCcAkdIYN4R8DAdIRL+AgZxDMCBqYiXCJHyCBeETAwDeFinHBCxuP16eOT55SSN0UfnzynYq9P6S5+5RE9tmAwGIzmAdvb25WVlaW2tjZlZmZG89CIIsLFHIFAQOXl5Xr22Wf1wgsv9AmZ+uMd2lztVtXBJrlbO9Xzl9smqSA7TWXFuVpSWqCisRlRrR2JIZTPcP45A8MRLuYZaCbT2Nqp1ZU12t3QLIfdJn+g778bg5KOtHZqU/URvfjuYc0rHK11i6cpPzstmm8BSYSAgaEIF/NdHDIftI3Umy2XyHchVPoLl566tr9zqEXzf7RLaxeV6J5ZBeYWjaREwMAwhEv0dIVMg6tQvzueKcmv802w4fMHgvIHgvruqzVqPuXVirIiU2pF8iJgYAjCJfp+te8T1adOvfBT73A59ecdavn90wPue9n/elKuy6d2//zkm3UaM8qlu5nJwEAEDCJGuERfY2un1mytHXJc1rwlcmZd1ud556V5fZ77wdZazbliNGsyMAwBg4gQLtZYXVnTveYymNTJM+XKG17ryxcIanVljTYtL420PECSZA9l8IYNGzR9+nRlZmYqMzNTs2fP1uuvv25WbYhxhIs16o93aHdD85CL+aHyB4La3dCshqYOQ18XySukgBk/frzWr1+vffv26f3339ctt9yir371q6qtHXqqjsRCuFhnc7VbDvvwFvQDXo/8nW29H6fbBxzvsNv00h63UaUiyYXUIrvjjjt6/fxP//RP2rBhg/bs2aOSkhJDC0PsIlysVXWwadizl6Yt3+v7pGOEJny7st/x/kBQVXVNelz8PiNyYa/B+P1+/du//Zs8Ho9mz55tZE2IYYSLtU55fXK3dg57fPaCB+XMvrzXczbb4I0Ld0unPNxWBgYI+W9QTU2NZs+erTNnzmjUqFGqrKzUVVddNeB4r9crr9fb/XN7+8DTc8Q2wsV6R1o8CmXlJSVvyrAX+bsEJR1u8ahkXFZI+wEXC2kNRpKKi4u1f/9+VVdX68EHH9SyZct04MCBAcdXVFQoKyur+5Gfnx9RwbAG4RIbzvoCCXUcJLaQAyYlJUWFhYW6/vrrVVFRoRkzZujHP/7xgONXrVqltra27kdjY2NEBSP6CJfYkeIM+Vc2po+DxBZxkzUQCPRqgV3M5XLJ5XJFehhYhHCJLRNz0mWTQmqThcp24ThApEIKmFWrVmnhwoUqKChQR0eHXn75Ze3cuVPbtm0zqz5YiHCJPekupwqy03RkmAv9pw+9r3Mtn/R53jX+So24pO8V/pJUkJPGAj8MEdLfoqamJn3jG9/QsWPHlJWVpenTp2vbtm360pe+ZFZ9sAjhErvKinO1qfrIsE5Vbtu9ud/nc/7HI/0GjMNuU9mU3IhrBCS+cAz9IFxiW/3xDn3p6bdMe/0dK7+gwly+jAz9C+UznJU89EK4xL6isRmaVzh62FfzD5fDbtO8wtGECwxDwKAb4RI/1i2eJqfBAeO027Ru8TRDXxPJjYCBJMIl3uRnp2ntImNv5/LEohJu1Q9DETAgXOLUPbMK9NiCKYa81rcXFPNlYzAc5yImOcIlvq0oK9LoUS6t2Vor34WvQB4uh90mp92mJxaVEC4wBTOYJEa4JIZ7ZhVox8qbNWdyjiQNufjftX3O5BztWHkz4QLTMINJUoRLYsnPTtOm5aWqP96hzdVuVdU1yd3S2euKf5vOX0RZNiVXS28s4GwxmI7rYJIQ4ZIcPF6fDrd4dNYXUIrTrok56Vyhj4iF8hnO37YkQ7gkj3SXk1vuw1KswSQRwgVANBEwSYJwARBtBEwSIFwAWIGASXCECwCrEDAJjHABYCUCJkERLgCsRsAkIMIFQCwgYBIM4QIgVhAwCYRwARBLCJgEQbgAiDUETAIgXADEIgImzhEuAGIVARPHCBcAsYyAiVOEC4BYR8DEIcIFQDwgYOIM4QIgXhAwcYRwARBPCJg4QbgAiDcETBwgXADEIwImxhEuAOIVARPDCBcA8YyAiVGEC4B4R8DEIMIFQCIgYGIM4QIgURAwMYRwAZBICJgYQbgASDROqwtIRB6vT4dbPDrrCyjFadfEnHSluwb+oyZcACQiAsYg9cc7tLnaraqDTXK3dirYY5tNUkF2msqKc7WktEBFYzO6txEuABKVLRgMBoceZpz29nZlZWWpra1NmZmZ0Ty0KRpbO7W6ska7G5rlsNvkDwz8x9m1fV7haK1bPE2XXzKScAEQV0L5DGcGE4Ete91as7VWvguhMli49Nz+zqEWzf/RLhW2faDXCRcACYqACdPPqur15Jt1Ye3rDwTl9wdUm36N7vt/W3TffXcZXB0AWI+zyMKwZa97yHDp+OA/dGT97Tr2y0f7H2CzSZL+2JyuV/a6jS4RACxHwISosbVTa7bWDjnOU7tTjqyxOnusTudOHB107A+21qqxtdOoEgEgJhAwIVpdWdO95jKQcyc/k/fTvyj7luWyp2XJU7tz0PG+QFCrK2sMrBIArBdSwFRUVGjWrFnKyMhQbm6uvva1r+ngwYNm1RZz6o93aHdD85CL+Z7anbKPHKXUwllKK547ZMD4A0HtbmhWQ1OHgdUCgLVCCphdu3apvLxce/bs0fbt23Xu3DktWLBAHo/HrPpiyuZqtxx225DjPAd2Km3KHNkcI5R+1RfkO3FU3mODr9k47Da9tIe1GACJI6SzyN54441eP7/44ovKzc3Vvn379IUvfMHQwmJR1cGmIWcv3s8a5Gv5RGlf+pYkyTW+RI6M0fLU7pQrb8qA+/kDQVXVNelxlRhaMwBYJaI1mLa2NklSdna2IcXEslNen9zDWIj31FbJnn6JRhZMkyTZbDalXzlPnr+8pWDAP+i+7pZOebw+Q+oFAKuFHTCBQECPPPKI5s6dq6uvvnrAcV6vV+3t7b0e8ehIi0dD3fIgGPCr8y+7NbJgunxtx3XuxFGdO3FUKeOKFfCc1Jkj/zX4/pIOtyRHuxFA4gv7Qsvy8nJ9+OGHevvttwcdV1FRobVr14Z7mJhx1hcYcsyZI3+W/1SrOv/yljr/8laf7Z7anUqddF3ExwGAeBBWwKxYsUKvvfaa3nrrLY0fP37QsatWrdKjj35+sWF7e7vy8/PDOaylUpxDT/Y8tTtlT7tE2Qu+1WdbZ9276qx7V4FzXtlHuCI6DgDEg5ACJhgM6u///u9VWVmpnTt3atKkSUPu43K55HIN/IEaLybmpMsmDdgmC5zzqrPuHaVNvUnpU2/qs90xKkedB3bpdEO10q/s/4QI24XjAEAiCOmfy+Xl5XrppZf08ssvKyMjQ5999pk+++wznT592qz6Yka6y6mC7LQBt59uqFbw7GmlFZb2u911efGQF10W5KQN+r0xABBPQgqYDRs2qK2tTV/84heVl5fX/XjllVfMqi+mlBXnDngdjKd2p2zOFI2cdE2/2202u1KvmKXThz6Q/3TfEx0cdpvKpuQaWS4AWIrvgwlB/fEOfenpvov3Rtmx8gsqzM0YeiAAWCSUz3BWlENQNDZD8wpHD+tq/lA47DbNKxxNuABIKARMiNYtnianwQHjtNu0bvE0Q18TAKxGwIQoPztNaxcZezuXJxaVKH+QEwgAIB4RMGG4Z1aBHlsw8H3FQvHtBcW6e1aBIa8FALGEc2LDtKKsSKNHubRma618geCQN8HsyWG3yWm36YlFJYQLgITFDCYC98wq0I6VN2vO5BxJGnLxv2v7nMk52rHyZsIFQEJjBhOh/Ow0bVpeqvrjHdpc7VZVXZPcLZ29rvi36fxFlGVTcrX0xgLOFgOQFLgOxgQer0+HWzw66wsoxWnXxJx0rtAHkBBC+QznU88E6S6nSsZlWV0GAFiKNRgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApCBgAgCkIGACAKQgYAIApnNE+YDAYlCS1t7dH+9AAgAh1fXZ3fZYPJuoB09HRIUnKz8+P9qEBAAbp6OhQVlbWoGNsweHEkIECgYCOHj2qjIwM2Ww2tbe3Kz8/X42NjcrMzIxmKabifcUX3ld8SdT3JcX+ewsGg+ro6NC4ceNktw++yhL1GYzdbtf48eP7PJ+ZmRmTf5iR4n3FF95XfEnU9yXF9nsbaubShUV+AIApCBgAgCksDxiXy6U1a9bI5XJZXYqheF/xhfcVXxL1fUmJ9d6ivsgPAEgOls9gAACJiYABAJiCgAEAmIKAAQCYwvKAeeaZZzRx4kSNHDlSpaWleu+996wuKSJvvfWW7rjjDo0bN042m02/+c1vrC7JEBUVFZo1a5YyMjKUm5urr33tazp48KDVZUVsw4YNmj59evdFbbNnz9brr79udVmGW79+vWw2mx555BGrS4nI448/LpvN1usxdepUq8syxKeffqqlS5cqJydHqampmjZtmt5//32ry4qIpQHzyiuv6NFHH9WaNWv0wQcfaMaMGfryl7+spqYmK8uKiMfj0YwZM/TMM89YXYqhdu3apfLycu3Zs0fbt2/XuXPntGDBAnk8HqtLi8j48eO1fv167du3T++//75uueUWffWrX1Vtba3VpRlm7969evbZZzV9+nSrSzFESUmJjh071v14++23rS4pYidOnNDcuXM1YsQIvf766zpw4ICeeuopXXrppVaXFpmghW644YZgeXl5989+vz84bty4YEVFhYVVGUdSsLKy0uoyTNHU1BSUFNy1a5fVpRju0ksvDf7Lv/yL1WUYoqOjI1hUVBTcvn178Oabbw4+/PDDVpcUkTVr1gRnzJhhdRmG+853vhO86aabrC7DcJbNYM6ePat9+/Zp/vz53c/Z7XbNnz9f7777rlVlYZja2tokSdnZ2RZXYhy/368tW7bI4/Fo9uzZVpdjiPLyct122229fs/iXX19vcaNG6fJkydryZIlcrvdVpcUsa1bt2rmzJm68847lZubq2uvvVbPP/+81WVFzLKAaW5ult/v19ixY3s9P3bsWH322WcWVYXhCAQCeuSRRzR37lxdffXVVpcTsZqaGo0aNUoul0vf+ta3VFlZqauuusrqsiK2ZcsWffDBB6qoqLC6FMOUlpbqxRdf1BtvvKENGzbo448/1rx587q/BiReHTp0SBs2bFBRUZG2bdumBx98UA899JB++ctfWl1aRKJ+N2XEv/Lycn344YcJ0fuWpOLiYu3fv19tbW369a9/rWXLlmnXrl1xHTKNjY16+OGHtX37do0cOdLqcgyzcOHC7v+ePn26SktLNWHCBP3qV7/S8uXLLawsMoFAQDNnztS6deskSddee60+/PBD/fznP9eyZcssri58ls1gRo8eLYfDoePHj/d6/vjx47rsssssqgpDWbFihV577TVVVVX1+7UL8SglJUWFhYW6/vrrVVFRoRkzZujHP/6x1WVFZN++fWpqatJ1110np9Mpp9OpXbt26Sc/+YmcTqf8fr/VJRrikksu0ZQpU9TQ0GB1KRHJy8vr8w+aK6+8Mu7bf5YFTEpKiq6//nr94Q9/6H4uEAjoD3/4Q8L0vxNJMBjUihUrVFlZqT/+8Y+aNGmS1SWZJhAIyOv1Wl1GRG699VbV1NRo//793Y+ZM2dqyZIl2r9/vxwOh9UlGuLUqVP661//qry8PKtLicjcuXP7nPZfV1enCRMmWFSRMSxtkT366KNatmyZZs6cqRtuuEFPP/20PB6P7r//fivLisipU6d6/Wvq448/1v79+5Wdna2CggILK4tMeXm5Xn75Zf32t79VRkZG9zpZVlaWUlNTLa4ufKtWrdLChQtVUFCgjo4Ovfzyy9q5c6e2bdtmdWkRycjI6LM+lp6erpycnLheN3vsscd0xx13aMKECTp69KjWrFkjh8Ohe++91+rSIrJy5UrNmTNH69at01133aX33ntPzz33nJ577jmrS4uM1aex/fSnPw0WFBQEU1JSgjfccENwz549VpcUkaqqqqCkPo9ly5ZZXVpE+ntPkoIbN260urSIPPDAA8EJEyYEU1JSgmPGjAneeuutwTfffNPqskyRCKcp33333cG8vLxgSkpK8PLLLw/efffdwYaGBqvLMsTvfve74NVXXx10uVzBqVOnBp977jmrS4oYt+sHAJjC8lvFAAASEwEDADAFAQMAMAUBAwAwBQEDADAFAQMAMAUBAwAwBQEDADAFAQMAMAUBAwAwBQEDADAFAQMAMMX/By9JtImh4ETKAAAAAElFTkSuQmCC", + "image/png": 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3okdLSjaxVaeklGo0YOr4MRg414Kp48cwNK/DFl1Z/G0jUiG26MriESeRynAUXXkMTiIVYYseG2zViVSELXps8IiTSCXYoscOg5NIBdiixxZbdSIVYIseWzziJEpybNFjj8FJlMTYoscHW3WiJMYWPT54xEmUpNiixw+DkygJsUWPL7bqREmILXp88YiTKMmwRY8/BidREmGLnhjYqhMlEbboiYFHnERJgi164mBwEiUBX4uelpbGFj0BsFUnSgJs0RMLjziJEhxb9MTD4CRKYGzRExNbdaIExhY9MfGIkyhBsUVPXAxOogTEFj2xsVUnSkBs0RMbjziJEgxb9MTH4CRKIGzRkwNbdaIEwhY9OfCIkyhBsEVPHgxOogTAFj25sFUnSgBs0ZMLjziJ4owtevJhcBLFEVv05MRWnSiOpLboTpcbZ+xODLi9SDHoMMWSilQj/xrHGv/EieIk3Ba99YIDuxtsqDvZCVt3P8Rh8wQA1kwTKopzsKLcisKJ6YrXTQxOorgIp0Xv6O7H+tomHGnrgl4nwOMVRy0jAmjv7sfOhnbs+OAM5hdkYdOyWcjPNCn8DbSN5ziJ4sDXor/22mt+W/SaRhsWvXgIR0/ZAcBvaA7nm3/0lB2LXjyEmkab7DXTl3jESRRjoVr0l+tasWV/S0Tb9nhFeLwinv19E7r6XFhTURhtueQHg5MohkK16DWNNr+h2feXg7C//XO/28yY/V1M+PpDoz7fsr8F2WlGLC+zRls2XYfBSRRDwUbRO7r7sWFvc9D1zfNXwGC+YcRnKdmTAy7/3N5mzL0pi+c8ZcbgJIqRUC36+tomuEOcyxw37Q4Yc8Nvv91eEetrm7BzdbnkeikwDg4RxUCoFr31ggNH2rpCDgJJ5fGKONLWhbZOh6zb1TpJwblx40YIgjBimj59ulK1EalGqFH03Q026HVCyO14XU54+ntGTKHodQJ2HeMou5wkt+olJSU4ePDglxswsNsnCiacC93rTnaGdbTZWfPTUZ9NfvatoOt4vCLqWjqxESXhFUwhSU49g8GAG264IfSCRBTWhe59Ljds3f1hbS9z8WMwZN4ouQ6bvR9Ol5u3Z8pE8p9ia2sr8vLyMHbsWMyZMwfV1dWwWgNf7uByueByuYZ+7u3tjaxSoiT0q1/9KuS96O12J8I9s5mSWyRpcMhHBHDG7kRJnlnyujSapHOc5eXl2LFjB959911s3boVp0+fxvz58+FwBD7xXF1dDbPZPDTl5+dHXTRRMujo6MCTTz4Z8l70Abc3JvXEaj9aICk4lyxZgvvvvx+lpaX45je/ibfffhuXLl3Cb37zm4DrVFVVoaenZ2jq6OiIumiiRCflcXEphthc3BKr/WhBVCc8xo8fj6KiIrS1tQVcxmg0wmg0RrMboqQTTovuM8WSCgEIu12PhHBtPySPqP4J6uvrw+eff47c3Fy56iFKeuG26D6pRgOsCt/ZY7WYODAkI0nB+dRTT+HQoUM4c+YMjh49imXLlkGv1+PBBx9Uqj6ipBLpE90rinPCuo4zEnqdgIqiHEW2rVWS/gn64osv8OCDD8JutyM7Oxtf/epXcezYMWRnZytVH1FSkdKiD7ei3IodH5wJOD+tdBHSShdFVJPHK2LlbD7oQ06SgrOmpkapOoiSntQWfbjCiemYX5CFo6fsst52qdcJmDvNgoIcPhleThxmI5KBHC9d27RsFgwyt+sGnYBNy2bJuk1icBLJwteiB7oXPRz5mSY8v1Te2yJfWFrCR8opgMFJFKVoWvTrPVBmxVOLi2Sp6+nFxXyIsUJ4fQJRFJR4L/qaikJkpRmxYW8z3NdehREuvU6AQSfghaUlDE0FMTiJohDpKHooD5RZMe+mrJBvufTxzZ87zcK3XMYAg5MoQnK26P7kZ5qwc3X5l+9Vb+mEze7nveoWEyqKcrBytpWj5zHC4CSKgBIteiCFE9OxcWkJNqIETpcb7/7PcfzDyh9gz67/wrfm3c47guKAf+JEEVCqRQ8l1WjA1PFjMHCuBVPHj2FoxglH1YkkUrpFp8TH4CSSIJYtOiUuHucTSRCvFp0SC484icLEFp18GJxEYWCLTsOxVScKA1t0Go5HnEQhsEWn6zE4iYJgi07+sFUnCoItOvnDI06iANiiUyAMTiI/2KJTMGzVifxgi07B8IiT6Dps0SkUBifRMGzRKRxs1YmGYYtO4eARJ9E1bNEpXAxOIrBFJ2nYqhOBLTpJwyNO0jy26CQVg5M0jS06RYKtOmkaW3SKBI84SbPYolOkGJykSWzRKRps1UmT2KJTNHjESZrDFp2ixeAkTWGLTnJgq06awhad5MAjTtIMtugkFwYnaQJbdJITW3XSBLboJCcecZLqsUUnuTE4SdXYopMS2KqTqrFFJyXwiJOSktPlxulLg0jJLcLpS4NwutyjlmGLTkrhEScljdYLDuxusKHuZCds3f0QAeSu+nf844EuPHVgH6yZJlQU52BFuRUFOWls0UkxDE5KeB3d/Vhf24QjbV3Q6wR4vOKoZUQA7d392NnQjh0fnMG0cS4cOfYJ/rDnV2zRSXYMTkpoNY02bNjbDPe1sPQXmsP55n/uNCD/0VfRmz1T8RpJexiclLBermvFlv0tEa0r6PTwAnj2903o6nNhTUWhvMWRpjE4KSHVNNr8hmbfXw7C/vbPR3ymM5kxJssKc/nfY9xNd4xaZ8v+FmSnGbG8zKpUuaQxDE5KOB3d/diwtznoMub5K2Aw3wBAhMd5Cc6mg+j87UZkf/c5mAr+btTyz+1txtybspCfaVKoatISXo5ECWd9bdPQOc1Axk27A2kzK5A2cyHM5d/BxJX/CugMcH56yO/ybq+I9bVNSpRLGsTgpITSesGBI21dIQeBrqczpkIYkwJBp/c73+MVcaStC22dDjnKJI2LKjg3b94MQRCwdu1amcohrdvdYINeJ4RczutywtPfA09/Dwb+1o7ufa9AHLiC1JKKgOvodQJ2HbPJWS5pVMTnOBsbG7Ft2zaUlpbKWQ9pXN3JzrCONjtrfjryA/0YWO56AuOm3hpwHY9XRF1LJzaiJNoySeMiCs6+vj6sWLECr732Gv75n/9Z7ppIo/pcbti6+8NaNnPxYzBk3ggA8DgvwtlcD/s7v4AuZRxMxXMDrmez98PpciPVyHFRilxErXplZSXuvvtuLFq0KOSyLpcLvb29IyYif9rtToR7ZjMltwjjpnwF46Z8BWklFci5fwPGWPLRfeCXED2DAdcTAZyxO2Wpl7RLcnDW1NTgo48+QnV1dVjLV1dXw2w2D035+fmSiyRtGHB7I15XEHQYO7kUnr5uDHafVWw/RIDE4Ozo6MATTzyB3bt3Y+zYsWGtU1VVhZ6enqGpo6MjokJJ/VIMUV7k4fUAAMTBK8ruhzRP0ome48ePo7OzE7fddtvQZx6PB4cPH8bLL78Ml8sFvX7k5SBGoxFGo1GeaknVplhSIQBht+vDiR43Lp/+GNAbMMYSuKsRru2HKBqSgvPOO+9EU9PIi4h/+MMfYvr06XjmmWdGhSaRFKlGA6yZJrSHMUB0+dSHGLR/AQDw9l+C89NDcF88i4zZ34XOGPjuIKvFxIEhipqk36D09HTMnDnyaTOpqamwWCyjPieKREVxDnY2tIe8JKnnyO6h/xYMKTBkTkLmN/8P0r6yJOA6ep2AiqIc2Wol7eI/vZRQVpRbseODMwHnp5UuQlpp6Ks5/PF4RayczQd9UPSiDs76+noZyiC6qnBiOuYXZOHoKbvk2y6D0esEzJ1mQUFOumzbJO3i8CIlnE3LZsEQxm2XUhh0AjYtmyXrNkm7GJyUcPIzTaicnS3rNp9eOJmPlCPZMDgp4bS1teHfHl0GffPbsmxv8MP/xi+eeABdXV2ybI+IwUkJpa2tDRUVFTCZTHh/20+x+TuzYDTownpi0nB6nQCjQYeffWcWDrz0FC5cuICFCxcyPEkWDE5KGMNDs76+Hrm5uXigzIqD6xZg7jQLAIQMUN/8udMsOLhuAZaXWTFjxgzU1dUxPEk2vByJEoK/0PTJzzRh5+ryL9+r3tIJm71/xB1GAq5e3F5RlIOVs62jRs994VlRUYGFCxfivffeQ1ZWVmy+HKkOg5PiLlhoDlc4MR0bl5ZgI0rgdLlxxu7EgNuLFIMOUyypIe8IYniSXNiqU1yFG5rXSzUaUJJnxq3WCSjJM4d9GyXbdpIDg5PiJtLQjBbDk6LF4KS4iFdo+jA8KRoMToq5eIemD8OTIsXgpJhKlND0YXhSJBicFDOJFpo+DE+SisFJMZGooenD8CQpGJykuEQPTR+GJ4WLwUmKSpbQ9GF4UjgYnKSYZAtNH4YnhcLgJEUka2j6MDwpGAYnyS7ZQ9OH4UmBMDhJVmoJTR+GJ/nD4CTZqC00fRiedD0GJ8lCraHpw/Ck4RicFDW1h6YPw5N8GJwUFa2Epg/DkwAGJ0VBa6Hpw/AkBidFRKuh6cPw1DYGJ0mm9dD0YXhqF4OTJGFojsTw1CYGJ4WNoekfw1N7GJwUFoZmcAxPbWFwUkgMzfAwPLWDwUlBMTSlYXhqA4OTAmJoRobhqX4MTvKLoRkdhqe6MThpFIamPBie6sXgpBEYmvJieKoTg5OGMDSVwfBUHwYnAWBoKo3hqS4MTmJoxgjDUz0YnBrH0Iwthqc6MDg1jKEZHwzP5Mfg1CiGZnxFGp5OlxunLw0iJbcIpy8NwulyK1wp+SOIoijGcoe9vb0wm83o6elBRkZGLHdN1zA0E8enn36KiooKTJw4Ee+99x6ysrJGLdN6wYHdDTbUneyErbsfw//CCgCsmSZUFOdgRbkVhRPTY1a72kjJJganxjA0E0+g8Ozo7sf62iYcaeuCXifA4w38V9U3f35BFjYtm4X8TFOsylcNKdnEVl1DGJqJyV/bXtNow6IXD+HoKTsABA3N4fOPnrJj0YuHUNNoU7xuLeMRp0YwNBOf78hz/LzlcBV/M+rtPbW4CGsqCmWoTBukZJMhRjVRHDE0k8OMGTPwzKt78YtjoweK+v5yEPa3fx5w3Ru+vwXGG6eP+GzL/hZkpxmxvMwqd6max+BUOYZm8ujo7se2D7uDLmOevwIG8w2jPjdM8P//9bm9zZh7UxbPecqMwaliDM3ksr62Ce4Q5zLHTbsDxtzw22+3V8T62ibsXF0ebXk0DAeHVIqhmVxaLzhwpK0r5CCQVB6viCNtXWjrdMi6Xa2TFJxbt25FaWkpMjIykJGRgTlz5uCdd95RqjaKEEMz+exusEGvE0Iu53U54envGTld7g26jl4nYNcxjrLLSVKrPmnSJGzevBmFhYUQRRFvvPEG7rvvPnz88ccoKSlRqkaSgKGZnOpOdoZ1tNlZ89PRH+rHYPLTtQHX8XhF1LV0YiP4d1QukoLz3nvvHfHzv/zLv2Dr1q04duwYgzMBMDSTU5/LDVt3f1jLZi5+DIbMG0d8JgihG0ebvR9OlxupRg5ryCHiP0WPx4Pf/va3cDqdmDNnTsDlXC4XXC7X0M+9vcHbCooMQzN5tdudCPfMZkpukaTBIR8RwBm7EyV5Zsnr0miSB4eampqQlpYGo9GIRx99FLW1tZgxY0bA5aurq2E2m4em/Pz8qAqm0RiayW3A7VXVfrRAcnAWFxfjk08+QUNDAx577DGsWrUKn376acDlq6qq0NPTMzR1dHREVTCNxNBMfimG2FzcEqv9aIHkVj0lJQUFBQUAgNtvvx2NjY146aWXsG3bNr/LG41GGI3G6Kokvxia6jDFkgoBCLtdj4RwbT8kj6jPFHu93hHnMCk2GJrqkWo0wJppQnsYA0SXT32IQfsXoz43TroZY8aPvqPIx2oxcWBIRpL+JKuqqrBkyRJYrVY4HA7s2bMH9fX12Ldvn1L1kR8MTfWpKM7Bzob2kJck9RzZ7fdzy11rAwanXiegoign6hrpS5KCs7OzEz/4wQ9w7tw5mM1mlJaWYt++ffjGN76hVH10HYamOq0ot2LHB2cCzk8rXYS00kURbdvjFbFyNh/0ISdJwfn6668rVQeFgaGpXoUT0zG/IAtHT9llve1SrxMwd5oFBTl8MrycOMyWJBia6rdp2SwYwrjtUgqDTsCmZbNk3SYxOJMCQ1Mb8jNNeH6pvHfgvbC0hI+UUwCDM8ExNLXlgTIrnlpcJMu2nl5czIcYK4TXJyQwhqY2rakoRFaaERv2NsPtFSWd89TrBBh0Al5YWsLQVBCPOBMUQ1PbHiiz4uC6BZg7zQIAIR8555s/d5oFB9ctYGgqjEecCYihScDVc547V5d/+V71lk7Y7H7eq24xoaIoBytnWzl6HiN8y2WCYWhSME6XG2fsTgy4vUgx6DDFkso7gmTCt1wmKYYmhZJqNPDRcAmA5zgTBEOTKHkwOBMAQ5MouTA444yhSZR8GJxxxNAkSk4MzjhhaBIlLwZnHDA0iZIbgzPGGJpEyY/BGUMMTSJ1YHDGCEOTSD0YnDHA0CRSFwanwhiaROrD4FQQQ5NInRicCmFoEqkXg1MBDE0idWNwyoyhSaR+DE4ZMTSJtIHBKROGJpF2MDhlwNAk0hYGZ5QYmkTaw+CMAkOTSJsYnBFiaBJpF4MzAgxNIm1jcErE0CQiBqcEDE0iAhicYWNoEpEPgzMMDE0iGo7BGQJDk4iux+AMgqFJRP4wOANgaBJRIAxOPxiaRBQMg/M6DE0iCoXBOQxDk4jCweC8hqFJROEyxLsAuTldbpyxOzHg9iLFoMMUSypSjcG/JkOTiKRQRXC2XnBgd4MNdSc7YevuhzhsngDAmmlCRXEOVpRbUTgxfcS6DE0ikkoQRVEMvZh8ent7YTab0dPTg4yMjKi21dHdj/W1TTjS1gW9ToDHG/ir+ObPL8jCpmWzkJ9pYmgS0RAp2ZS0R5w1jTZs2NsM97WwDBaaw+cfPWXHohcPoXJ2Nv7t0WUMTSKSLCkHh16ua8Wzv2+Cy+0NGZjX83hFuNxe/Pv7F5By61KGJhFJlnTBWdNow5b9LbJsy1NyFw5/MSjLtohIO5IqODu6+7Fhb3PI5Rwf/RHtm+/BuTeeDLnsc3ub0dHdL0d5RKQRSRWc62ubhs5pBuNsrofePBED51owePFs0GXdXhHra5vkKpGINCBpgrP1ggNH2rpCntMcvHQerr9+hsyFq6EzmeFsrg+6vMcr4khbF9o6HTJWS0RqJik4q6urUVZWhvT0dOTk5ODb3/42Tp48qVRtI+xusEGvE0Iu52yuh25sGsYVlMFUPC9kcAJXL1XadcwmQ5VEpAWSgvPQoUOorKzEsWPHcODAAQwODmLx4sVwOp1K1Tek7mRnWCPozk/rYSqaC0E/Bqkzvgb3xbNwnQs+mOTxiqhr6ZSrVCJSOUnXcb777rsjft6xYwdycnJw/PhxfO1rX5O1sOH6XG7YwhjAcZ1vg9v+BUzfeBQAYJxUAn16FpzN9TDmFgVd12bvh9PlDnl7JhFRVOc4e3p6AACZmZkBl3G5XOjt7R0xSdVudyKcqzWdzXXQpY7HWOssAIAgCEi9eT6cnx2G6PUEXVcEcMau/JEzESW/iIPT6/Vi7dq1mDdvHmbOnBlwuerqapjN5qEpPz9f8r4G3N6Qy4heD/o/O4Kx1lK4ey5g8OJZDF48i5S8Ynidl3Cl/c+y7IeIKOK+tLKyEidOnMD7778fdLmqqio8+eSX11P29vZKDs8UQ+h8v9L+F3j6utH/2WH0f3Z41Hxncz3GTb0t6v0QEUUUnGvWrMFbb72Fw4cPY9KkSUGXNRqNMBqNERXnM8WSCgEI2q47m+uhM41H5uJHR83rb/kA/S0fwDvogm6M/1qEa/shIgpFUnCKoojHH38ctbW1qK+vx9SpU5Wqa4RUowHWTBPaAwwQeQdd6G85CtP0ryJ1+ldHzdenWdD/6SFcbmtA6s3+B7GsFhMHhogoLJJ608rKSuzatQt79uxBeno6zp8/j/Pnz+Py5ctK1Tekojgn4HWcl9saIA5chqmg3O98443FQS+G1+sEVBTlyFUqEamcpODcunUrenp68PWvfx25ublD069//Wul6huyotwa8DpOZ3M9BEMKxk79it/5gqDDuJvKcPnUR/BcHj2q7/GKWDnbKme5RKRiSfUg4++/3oCjp+ySHyUXjF4nYO40C3au9n+0SkTaICWbkmoYedOyWTCEcdulFAadgE3LZsm6TSJSt6QKzvxME55fWiLrNl9YWoL8TJOs2yQidUuq4ASAB8qseGpx8Nsnw/X04mIsL+O5TSKSJimvv1lTUYisNOPQO4eknPPU6wQYdAJeWFrC0CSiiCTdEafPA2VWHFy3AHOnWQAg5CPnfPPnTrPg4LoFDE0iilhSHnH65GeasHN1+ZfvVW/phM3u573qFhMqinKwcrYVBTnpgTZHRBSWpLocKRxOlxtn7E4MuL1IMegwxZLKO4KIKCRNvFc9kFSjASV55niXQUQqlrTnOImI4oXBSUQkEYOTiEgiBicRkUQMTiIiiRicREQSMTiJiCRicBIRScTgJCKSiMFJRCQRg5OISCIGJxGRRAxOIiKJGJxERBIxOImIJGJwEhFJFPMHGfseON/b2xvrXRMRBeTLpHBeihHz4HQ4HACA/Pz8WO+aiCgkh8MBszn4WyRi/s4hr9eLs2fPIj09HYIQ/M2Ukert7UV+fj46OjoUea9RIuJ31sZ3BrT5vWPxnUVRhMPhQF5eHnS64GcxY37EqdPpMGnSpJjsKyMjQzO/WD78ztqhxe+t9HcOdaTpw8EhIiKJGJxERBKpMjiNRiM2bNgAo9EY71Jiht9ZO7T4vRPtO8d8cIiIKNmp8oiTiEhJDE4iIokYnEREEjE4iYgkUlVwHj58GPfeey/y8vIgCALefPPNeJekuOrqapSVlSE9PR05OTn49re/jZMnT8a7LEVt3boVpaWlQxdDz5kzB++88068y4qpzZs3QxAErF27Nt6lKGbjxo0QBGHENH369HiXBUBlwel0OnHLLbfglVdeiXcpMXPo0CFUVlbi2LFjOHDgAAYHB7F48WI4nc54l6aYSZMmYfPmzTh+/Dg+/PBDLFy4EPfddx+am5vjXVpMNDY2Ytu2bSgtLY13KYorKSnBuXPnhqb3338/3iVdJaoUALG2tjbeZcRcZ2enCEA8dOhQvEuJqQkTJoj/+Z//Ge8yFOdwOMTCwkLxwIED4oIFC8Qnnngi3iUpZsOGDeItt9wS7zL8UtURJwE9PT0AgMzMzDhXEhsejwc1NTVwOp2YM2dOvMtRXGVlJe6++24sWrQo3qXERGtrK/Ly8jBt2jSsWLECNpst3iUBiMNDPkg5Xq8Xa9euxbx58zBz5sx4l6OopqYmzJkzB1euXEFaWhpqa2sxY8aMeJelqJqaGnz00UdobGyMdykxUV5ejh07dqC4uBjnzp3D888/j/nz5+PEiRNIT0+Pa20MThWprKzEiRMnEuc8kIKKi4vxySefoKenB7/73e+watUqHDp0SLXh2dHRgSeeeAIHDhzA2LFj411OTCxZsmTov0tLS1FeXo7JkyfjN7/5DVavXh3HyhicqrFmzRq89dZbOHz4cMwe2xdPKSkpKCgoAADcfvvtaGxsxEsvvYRt27bFuTJlHD9+HJ2dnbjtttuGPvN4PDh8+DBefvlluFwu6PX6OFaovPHjx6OoqAhtbW3xLoXBmexEUcTjjz+O2tpa1NfXY+rUqfEuKS68Xi9cLle8y1DMnXfeiaamphGf/fCHP8T06dPxzDPPqD40AaCvrw+ff/45vv/978e7FHUFZ19f34h/jU6fPo1PPvkEmZmZsFqtcaxMOZWVldizZw/+8Ic/ID09HefPnwdw9YGs48aNi3N1yqiqqsKSJUtgtVrhcDiwZ88e1NfXY9++ffEuTTHp6emjzlunpqbCYrGo9nz2U089hXvvvReTJ0/G2bNnsWHDBuj1ejz44IPxLk1dlyPV1dWJAEZNq1atindpivH3fQGI27dvj3dpinn44YfFyZMniykpKWJ2drZ45513ivv37493WTGn9suRli9fLubm5oopKSnijTfeKC5fvlxsa2uLd1miKIoiHytHRCQRr+MkIpKIwUlEJBGDk4hIIgYnEZFEDE4iIokYnEREEjE4iYgkYnASEUnE4CQikojBSUQkEYOTiEgiBicRkUT/H/MO2c9rRPDUAAAAAElFTkSuQmCC", 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" ] @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ "{'A': (1, 2), 'B': (3, 4), 'C': (5, 7), 'D': (3, 6), 'E': (4, 3), 'F': (4, 5)}" ] }, - "execution_count": 53, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-2.0, -2.5), 'B': (0.0, -0.5), 'C': (2.0, 2.5), 'D': (0.0, 1.5), 'E': (1.0, -1.5), 'F': (1.0, 0.5)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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9bbf2edb47496e80d4b2a5b70b1fcfedb8e808bb..d48e0cd8b197de83ff9b1784ba203ecb12a56a6b 100644 GIT binary patch delta 930 zcmX@}gn7XOX4VGQsiGe?vSzUhutXcjT20AdkDZcX*8}8iZe+j01{5_x7B$(N&ZohO zDY{TtnG+~#imcXj^EH`&jF_U&+q@D?4|jhk*R0-WW`hwc@147Jp&yDAZeZ0joe#;DW5+qmGz~A=n5*gb{8q6<`?yphPW~jebEDDv#texzbVVsQWS9K?Kh#!Hz2f0v3LERZ7g5+Cu7q}9L=hR(60>~DsyTL_3 zhD=t>kY}W)Z4#5?k8@6bryo3.1. Tutorial : ECT for embedded graphs

This jupyter notebook will walk you through using the ect package to compute the Euler characteristic transform of a 2D embedded graph. This tutorial assumes you already know what an ECT is; see this paper for a more thorough treatment of details.

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from ect import ECT, EmbeddedGraph, create_example_graph
@@ -150,7 +150,7 @@ 

3.1. Tutorial : ECT for embedded graphs<

3.1.1. Constructing the embedded graph

We assume our input is an undirected graph \(G\) with an embedding in 2D given by a map on the vertices \(f: V(G) \to \mathbb{R}^2\). A graph can be constructed as follows.

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# Construct an example graph
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3.1.1. Constructing the embedded graph

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3.1.1. Constructing the embedded graph

The coordinates of all vertices, given as a dictionary, can be accessed using the coordinates attribute.

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@@ -213,10 +213,10 @@

3.1.1. Constructing the embedded graph

Because of the rotational aspect of the ECT, we often want our graph to be centered, so you can use the set_mean_centered_coordinates method shift the graph to have the average of the vertex coordinates be 0. Note that this does overwrite the coordinates of the points.

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[7]:
 
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G.set_mean_centered_coordinates()
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diff --git a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb index bd76f7b..8c284b7 100644 --- a/docs/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb +++ b/docs/notebooks/Tutorial-ECT_for_embedded_graphs.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -42,13 +42,13 @@ "" ] }, - "execution_count": 57, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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3okdLSjaxVaeklGo0YOr4MRg414Kp48cwNK/DFl1Z/G0jUiG26MriESeRynAUXXkMTiIVYYseG2zViVSELXps8IiTSCXYoscOg5NIBdiixxZbdSIVYIseWzziJEpybNFjj8FJlMTYoscHW3WiJMYWPT54xEmUpNiixw+DkygJsUWPL7bqREmILXp88YiTKMmwRY8/BidREmGLnhjYqhMlEbboiYFHnERJgi164mBwEiUBX4uelpbGFj0BsFUnSgJs0RMLjziJEhxb9MTD4CRKYGzRExNbdaIExhY9MfGIkyhBsUVPXAxOogTEFj2xsVUnSkBs0RMbjziJEgxb9MTH4CRKIGzRkwNbdaIEwhY9OfCIkyhBsEVPHgxOogTAFj25sFUnSgBs0ZMLjziJ4owtevJhcBLFEVv05MRWnSiOpLboTpcbZ+xODLi9SDHoMMWSilQj/xrHGv/EieIk3Ba99YIDuxtsqDvZCVt3P8Rh8wQA1kwTKopzsKLcisKJ6YrXTQxOorgIp0Xv6O7H+tomHGnrgl4nwOMVRy0jAmjv7sfOhnbs+OAM5hdkYdOyWcjPNCn8DbSN5ziJ4sDXor/22mt+W/SaRhsWvXgIR0/ZAcBvaA7nm3/0lB2LXjyEmkab7DXTl3jESRRjoVr0l+tasWV/S0Tb9nhFeLwinv19E7r6XFhTURhtueQHg5MohkK16DWNNr+h2feXg7C//XO/28yY/V1M+PpDoz7fsr8F2WlGLC+zRls2XYfBSRRDwUbRO7r7sWFvc9D1zfNXwGC+YcRnKdmTAy7/3N5mzL0pi+c8ZcbgJIqRUC36+tomuEOcyxw37Q4Yc8Nvv91eEetrm7BzdbnkeikwDg4RxUCoFr31ggNH2rpCDgJJ5fGKONLWhbZOh6zb1TpJwblx40YIgjBimj59ulK1EalGqFH03Q026HVCyO14XU54+ntGTKHodQJ2HeMou5wkt+olJSU4ePDglxswsNsnCiacC93rTnaGdbTZWfPTUZ9NfvatoOt4vCLqWjqxESXhFUwhSU49g8GAG264IfSCRBTWhe59Ljds3f1hbS9z8WMwZN4ouQ6bvR9Ol5u3Z8pE8p9ia2sr8vLyMHbsWMyZMwfV1dWwWgNf7uByueByuYZ+7u3tjaxSoiT0q1/9KuS96O12J8I9s5mSWyRpcMhHBHDG7kRJnlnyujSapHOc5eXl2LFjB959911s3boVp0+fxvz58+FwBD7xXF1dDbPZPDTl5+dHXTRRMujo6MCTTz4Z8l70Abc3JvXEaj9aICk4lyxZgvvvvx+lpaX45je/ibfffhuXLl3Cb37zm4DrVFVVoaenZ2jq6OiIumiiRCflcXEphthc3BKr/WhBVCc8xo8fj6KiIrS1tQVcxmg0wmg0RrMboqQTTovuM8WSCgEIu12PhHBtPySPqP4J6uvrw+eff47c3Fy56iFKeuG26D6pRgOsCt/ZY7WYODAkI0nB+dRTT+HQoUM4c+YMjh49imXLlkGv1+PBBx9Uqj6ipBLpE90rinPCuo4zEnqdgIqiHEW2rVWS/gn64osv8OCDD8JutyM7Oxtf/epXcezYMWRnZytVH1FSkdKiD7ei3IodH5wJOD+tdBHSShdFVJPHK2LlbD7oQ06SgrOmpkapOoiSntQWfbjCiemYX5CFo6fsst52qdcJmDvNgoIcPhleThxmI5KBHC9d27RsFgwyt+sGnYBNy2bJuk1icBLJwteiB7oXPRz5mSY8v1Te2yJfWFrCR8opgMFJFKVoWvTrPVBmxVOLi2Sp6+nFxXyIsUJ4fQJRFJR4L/qaikJkpRmxYW8z3NdehREuvU6AQSfghaUlDE0FMTiJohDpKHooD5RZMe+mrJBvufTxzZ87zcK3XMYAg5MoQnK26P7kZ5qwc3X5l+9Vb+mEze7nveoWEyqKcrBytpWj5zHC4CSKgBIteiCFE9OxcWkJNqIETpcb7/7PcfzDyh9gz67/wrfm3c47guKAf+JEEVCqRQ8l1WjA1PFjMHCuBVPHj2FoxglH1YkkUrpFp8TH4CSSIJYtOiUuHucTSRCvFp0SC484icLEFp18GJxEYWCLTsOxVScKA1t0Go5HnEQhsEWn6zE4iYJgi07+sFUnCoItOvnDI06iANiiUyAMTiI/2KJTMGzVifxgi07B8IiT6Dps0SkUBifRMGzRKRxs1YmGYYtO4eARJ9E1bNEpXAxOIrBFJ2nYqhOBLTpJwyNO0jy26CQVg5M0jS06RYKtOmkaW3SKBI84SbPYolOkGJykSWzRKRps1UmT2KJTNHjESZrDFp2ixeAkTWGLTnJgq06awhad5MAjTtIMtugkFwYnaQJbdJITW3XSBLboJCcecZLqsUUnuTE4SdXYopMS2KqTqrFFJyXwiJOSktPlxulLg0jJLcLpS4NwutyjlmGLTkrhEScljdYLDuxusKHuZCds3f0QAeSu+nf844EuPHVgH6yZJlQU52BFuRUFOWls0UkxDE5KeB3d/Vhf24QjbV3Q6wR4vOKoZUQA7d392NnQjh0fnMG0cS4cOfYJ/rDnV2zRSXYMTkpoNY02bNjbDPe1sPQXmsP55n/uNCD/0VfRmz1T8RpJexiclLBermvFlv0tEa0r6PTwAnj2903o6nNhTUWhvMWRpjE4KSHVNNr8hmbfXw7C/vbPR3ymM5kxJssKc/nfY9xNd4xaZ8v+FmSnGbG8zKpUuaQxDE5KOB3d/diwtznoMub5K2Aw3wBAhMd5Cc6mg+j87UZkf/c5mAr+btTyz+1txtybspCfaVKoatISXo5ECWd9bdPQOc1Axk27A2kzK5A2cyHM5d/BxJX/CugMcH56yO/ybq+I9bVNSpRLGsTgpITSesGBI21dIQeBrqczpkIYkwJBp/c73+MVcaStC22dDjnKJI2LKjg3b94MQRCwdu1amcohrdvdYINeJ4RczutywtPfA09/Dwb+1o7ufa9AHLiC1JKKgOvodQJ2HbPJWS5pVMTnOBsbG7Ft2zaUlpbKWQ9pXN3JzrCONjtrfjryA/0YWO56AuOm3hpwHY9XRF1LJzaiJNoySeMiCs6+vj6sWLECr732Gv75n/9Z7ppIo/pcbti6+8NaNnPxYzBk3ggA8DgvwtlcD/s7v4AuZRxMxXMDrmez98PpciPVyHFRilxErXplZSXuvvtuLFq0KOSyLpcLvb29IyYif9rtToR7ZjMltwjjpnwF46Z8BWklFci5fwPGWPLRfeCXED2DAdcTAZyxO2Wpl7RLcnDW1NTgo48+QnV1dVjLV1dXw2w2D035+fmSiyRtGHB7I15XEHQYO7kUnr5uDHafVWw/RIDE4Ozo6MATTzyB3bt3Y+zYsWGtU1VVhZ6enqGpo6MjokJJ/VIMUV7k4fUAAMTBK8ruhzRP0ome48ePo7OzE7fddtvQZx6PB4cPH8bLL78Ml8sFvX7k5SBGoxFGo1GeaknVplhSIQBht+vDiR43Lp/+GNAbMMYSuKsRru2HKBqSgvPOO+9EU9PIi4h/+MMfYvr06XjmmWdGhSaRFKlGA6yZJrSHMUB0+dSHGLR/AQDw9l+C89NDcF88i4zZ34XOGPjuIKvFxIEhipqk36D09HTMnDnyaTOpqamwWCyjPieKREVxDnY2tIe8JKnnyO6h/xYMKTBkTkLmN/8P0r6yJOA6ep2AiqIc2Wol7eI/vZRQVpRbseODMwHnp5UuQlpp6Ks5/PF4RayczQd9UPSiDs76+noZyiC6qnBiOuYXZOHoKbvk2y6D0esEzJ1mQUFOumzbJO3i8CIlnE3LZsEQxm2XUhh0AjYtmyXrNkm7GJyUcPIzTaicnS3rNp9eOJmPlCPZMDgp4bS1teHfHl0GffPbsmxv8MP/xi+eeABdXV2ybI+IwUkJpa2tDRUVFTCZTHh/20+x+TuzYDTownpi0nB6nQCjQYeffWcWDrz0FC5cuICFCxcyPEkWDE5KGMNDs76+Hrm5uXigzIqD6xZg7jQLAIQMUN/8udMsOLhuAZaXWTFjxgzU1dUxPEk2vByJEoK/0PTJzzRh5+ryL9+r3tIJm71/xB1GAq5e3F5RlIOVs62jRs994VlRUYGFCxfivffeQ1ZWVmy+HKkOg5PiLlhoDlc4MR0bl5ZgI0rgdLlxxu7EgNuLFIMOUyypIe8IYniSXNiqU1yFG5rXSzUaUJJnxq3WCSjJM4d9GyXbdpIDg5PiJtLQjBbDk6LF4KS4iFdo+jA8KRoMToq5eIemD8OTIsXgpJhKlND0YXhSJBicFDOJFpo+DE+SisFJMZGooenD8CQpGJykuEQPTR+GJ4WLwUmKSpbQ9GF4UjgYnKSYZAtNH4YnhcLgJEUka2j6MDwpGAYnyS7ZQ9OH4UmBMDhJVmoJTR+GJ/nD4CTZqC00fRiedD0GJ8lCraHpw/Ck4RicFDW1h6YPw5N8GJwUFa2Epg/DkwAGJ0VBa6Hpw/AkBidFRKuh6cPw1DYGJ0mm9dD0YXhqF4OTJGFojsTw1CYGJ4WNoekfw1N7GJwUFoZmcAxPbWFwUkgMzfAwPLWDwUlBMTSlYXhqA4OTAmJoRobhqX4MTvKLoRkdhqe6MThpFIamPBie6sXgpBEYmvJieKoTg5OGMDSVwfBUHwYnAWBoKo3hqS4MTmJoxgjDUz0YnBrH0Iwthqc6MDg1jKEZHwzP5Mfg1CiGZnxFGp5OlxunLw0iJbcIpy8NwulyK1wp+SOIoijGcoe9vb0wm83o6elBRkZGLHdN1zA0E8enn36KiooKTJw4Ee+99x6ysrJGLdN6wYHdDTbUneyErbsfw//CCgCsmSZUFOdgRbkVhRPTY1a72kjJJganxjA0E0+g8Ozo7sf62iYcaeuCXifA4w38V9U3f35BFjYtm4X8TFOsylcNKdnEVl1DGJqJyV/bXtNow6IXD+HoKTsABA3N4fOPnrJj0YuHUNNoU7xuLeMRp0YwNBOf78hz/LzlcBV/M+rtPbW4CGsqCmWoTBukZJMhRjVRHDE0k8OMGTPwzKt78YtjoweK+v5yEPa3fx5w3Ru+vwXGG6eP+GzL/hZkpxmxvMwqd6max+BUOYZm8ujo7se2D7uDLmOevwIG8w2jPjdM8P//9bm9zZh7UxbPecqMwaliDM3ksr62Ce4Q5zLHTbsDxtzw22+3V8T62ibsXF0ebXk0DAeHVIqhmVxaLzhwpK0r5CCQVB6viCNtXWjrdMi6Xa2TFJxbt25FaWkpMjIykJGRgTlz5uCdd95RqjaKEEMz+exusEGvE0Iu53U54envGTld7g26jl4nYNcxjrLLSVKrPmnSJGzevBmFhYUQRRFvvPEG7rvvPnz88ccoKSlRqkaSgKGZnOpOdoZ1tNlZ89PRH+rHYPLTtQHX8XhF1LV0YiP4d1QukoLz3nvvHfHzv/zLv2Dr1q04duwYgzMBMDSTU5/LDVt3f1jLZi5+DIbMG0d8JgihG0ebvR9OlxupRg5ryCHiP0WPx4Pf/va3cDqdmDNnTsDlXC4XXC7X0M+9vcHbCooMQzN5tdudCPfMZkpukaTBIR8RwBm7EyV5Zsnr0miSB4eampqQlpYGo9GIRx99FLW1tZgxY0bA5aurq2E2m4em/Pz8qAqm0RiayW3A7VXVfrRAcnAWFxfjk08+QUNDAx577DGsWrUKn376acDlq6qq0NPTMzR1dHREVTCNxNBMfimG2FzcEqv9aIHkVj0lJQUFBQUAgNtvvx2NjY146aWXsG3bNr/LG41GGI3G6Kokvxia6jDFkgoBCLtdj4RwbT8kj6jPFHu93hHnMCk2GJrqkWo0wJppQnsYA0SXT32IQfsXoz43TroZY8aPvqPIx2oxcWBIRpL+JKuqqrBkyRJYrVY4HA7s2bMH9fX12Ldvn1L1kR8MTfWpKM7Bzob2kJck9RzZ7fdzy11rAwanXiegoign6hrpS5KCs7OzEz/4wQ9w7tw5mM1mlJaWYt++ffjGN76hVH10HYamOq0ot2LHB2cCzk8rXYS00kURbdvjFbFyNh/0ISdJwfn6668rVQeFgaGpXoUT0zG/IAtHT9llve1SrxMwd5oFBTl8MrycOMyWJBia6rdp2SwYwrjtUgqDTsCmZbNk3SYxOJMCQ1Mb8jNNeH6pvHfgvbC0hI+UUwCDM8ExNLXlgTIrnlpcJMu2nl5czIcYK4TXJyQwhqY2rakoRFaaERv2NsPtFSWd89TrBBh0Al5YWsLQVBCPOBMUQ1PbHiiz4uC6BZg7zQIAIR8555s/d5oFB9ctYGgqjEecCYihScDVc547V5d/+V71lk7Y7H7eq24xoaIoBytnWzl6HiN8y2WCYWhSME6XG2fsTgy4vUgx6DDFkso7gmTCt1wmKYYmhZJqNPDRcAmA5zgTBEOTKHkwOBMAQ5MouTA444yhSZR8GJxxxNAkSk4MzjhhaBIlLwZnHDA0iZIbgzPGGJpEyY/BGUMMTSJ1YHDGCEOTSD0YnDHA0CRSFwanwhiaROrD4FQQQ5NInRicCmFoEqkXg1MBDE0idWNwyoyhSaR+DE4ZMTSJtIHBKROGJpF2MDhlwNAk0hYGZ5QYmkTaw+CMAkOTSJsYnBFiaBJpF4MzAgxNIm1jcErE0CQiBqcEDE0iAhicYWNoEpEPgzMMDE0iGo7BGQJDk4iux+AMgqFJRP4wOANgaBJRIAxOPxiaRBQMg/M6DE0iCoXBOQxDk4jCweC8hqFJROEyxLsAuTldbpyxOzHg9iLFoMMUSypSjcG/JkOTiKRQRXC2XnBgd4MNdSc7YevuhzhsngDAmmlCRXEOVpRbUTgxfcS6DE0ikkoQRVEMvZh8ent7YTab0dPTg4yMjKi21dHdj/W1TTjS1gW9ToDHG/ir+ObPL8jCpmWzkJ9pYmgS0RAp2ZS0R5w1jTZs2NsM97WwDBaaw+cfPWXHohcPoXJ2Nv7t0WUMTSKSLCkHh16ua8Wzv2+Cy+0NGZjX83hFuNxe/Pv7F5By61KGJhFJlnTBWdNow5b9LbJsy1NyFw5/MSjLtohIO5IqODu6+7Fhb3PI5Rwf/RHtm+/BuTeeDLnsc3ub0dHdL0d5RKQRSRWc62ubhs5pBuNsrofePBED51owePFs0GXdXhHra5vkKpGINCBpgrP1ggNH2rpCntMcvHQerr9+hsyFq6EzmeFsrg+6vMcr4khbF9o6HTJWS0RqJik4q6urUVZWhvT0dOTk5ODb3/42Tp48qVRtI+xusEGvE0Iu52yuh25sGsYVlMFUPC9kcAJXL1XadcwmQ5VEpAWSgvPQoUOorKzEsWPHcODAAQwODmLx4sVwOp1K1Tek7mRnWCPozk/rYSqaC0E/Bqkzvgb3xbNwnQs+mOTxiqhr6ZSrVCJSOUnXcb777rsjft6xYwdycnJw/PhxfO1rX5O1sOH6XG7YwhjAcZ1vg9v+BUzfeBQAYJxUAn16FpzN9TDmFgVd12bvh9PlDnl7JhFRVOc4e3p6AACZmZkBl3G5XOjt7R0xSdVudyKcqzWdzXXQpY7HWOssAIAgCEi9eT6cnx2G6PUEXVcEcMau/JEzESW/iIPT6/Vi7dq1mDdvHmbOnBlwuerqapjN5qEpPz9f8r4G3N6Qy4heD/o/O4Kx1lK4ey5g8OJZDF48i5S8Ynidl3Cl/c+y7IeIKOK+tLKyEidOnMD7778fdLmqqio8+eSX11P29vZKDs8UQ+h8v9L+F3j6utH/2WH0f3Z41Hxncz3GTb0t6v0QEUUUnGvWrMFbb72Fw4cPY9KkSUGXNRqNMBqNERXnM8WSCgEI2q47m+uhM41H5uJHR83rb/kA/S0fwDvogm6M/1qEa/shIgpFUnCKoojHH38ctbW1qK+vx9SpU5Wqa4RUowHWTBPaAwwQeQdd6G85CtP0ryJ1+ldHzdenWdD/6SFcbmtA6s3+B7GsFhMHhogoLJJ608rKSuzatQt79uxBeno6zp8/j/Pnz+Py5ctK1Tekojgn4HWcl9saIA5chqmg3O98443FQS+G1+sEVBTlyFUqEamcpODcunUrenp68PWvfx25ublD069//Wul6huyotwa8DpOZ3M9BEMKxk79it/5gqDDuJvKcPnUR/BcHj2q7/GKWDnbKme5RKRiSfUg4++/3oCjp+ySHyUXjF4nYO40C3au9n+0SkTaICWbkmoYedOyWTCEcdulFAadgE3LZsm6TSJSt6QKzvxME55fWiLrNl9YWoL8TJOs2yQidUuq4ASAB8qseGpx8Nsnw/X04mIsL+O5TSKSJimvv1lTUYisNOPQO4eknPPU6wQYdAJeWFrC0CSiiCTdEafPA2VWHFy3AHOnWQAg5CPnfPPnTrPg4LoFDE0iilhSHnH65GeasHN1+ZfvVW/phM3u573qFhMqinKwcrYVBTnpgTZHRBSWpLocKRxOlxtn7E4MuL1IMegwxZLKO4KIKCRNvFc9kFSjASV55niXQUQqlrTnOImI4oXBSUQkEYOTiEgiBicRkUQMTiIiiRicREQSMTiJiCRicBIRScTgJCKSiMFJRCQRg5OISCIGJxGRRAxOIiKJGJxERBIxOImIJGJwEhFJFPMHGfseON/b2xvrXRMRBeTLpHBeihHz4HQ4HACA/Pz8WO+aiCgkh8MBszn4WyRi/s4hr9eLs2fPIj09HYIQ/M2Ukert7UV+fj46OjoUea9RIuJ31sZ3BrT5vWPxnUVRhMPhQF5eHnS64GcxY37EqdPpMGnSpJjsKyMjQzO/WD78ztqhxe+t9HcOdaTpw8EhIiKJGJxERBKpMjiNRiM2bNgAo9EY71Jiht9ZO7T4vRPtO8d8cIiIKNmp8oiTiEhJDE4iIokYnEREEjE4iYgkUlVwHj58GPfeey/y8vIgCALefPPNeJekuOrqapSVlSE9PR05OTn49re/jZMnT8a7LEVt3boVpaWlQxdDz5kzB++88068y4qpzZs3QxAErF27Nt6lKGbjxo0QBGHENH369HiXBUBlwel0OnHLLbfglVdeiXcpMXPo0CFUVlbi2LFjOHDgAAYHB7F48WI4nc54l6aYSZMmYfPmzTh+/Dg+/PBDLFy4EPfddx+am5vjXVpMNDY2Ytu2bSgtLY13KYorKSnBuXPnhqb3338/3iVdJaoUALG2tjbeZcRcZ2enCEA8dOhQvEuJqQkTJoj/+Z//Ge8yFOdwOMTCwkLxwIED4oIFC8Qnnngi3iUpZsOGDeItt9wS7zL8UtURJwE9PT0AgMzMzDhXEhsejwc1NTVwOp2YM2dOvMtRXGVlJe6++24sWrQo3qXERGtrK/Ly8jBt2jSsWLECNpst3iUBiMNDPkg5Xq8Xa9euxbx58zBz5sx4l6OopqYmzJkzB1euXEFaWhpqa2sxY8aMeJelqJqaGnz00UdobGyMdykxUV5ejh07dqC4uBjnzp3D888/j/nz5+PEiRNIT0+Pa20MThWprKzEiRMnEuc8kIKKi4vxySefoKenB7/73e+watUqHDp0SLXh2dHRgSeeeAIHDhzA2LFj411OTCxZsmTov0tLS1FeXo7JkyfjN7/5DVavXh3HyhicqrFmzRq89dZbOHz4cMwe2xdPKSkpKCgoAADcfvvtaGxsxEsvvYRt27bFuTJlHD9+HJ2dnbjtttuGPvN4PDh8+DBefvlluFwu6PX6OFaovPHjx6OoqAhtbW3xLoXBmexEUcTjjz+O2tpa1NfXY+rUqfEuKS68Xi9cLle8y1DMnXfeiaamphGf/fCHP8T06dPxzDPPqD40AaCvrw+ff/45vv/978e7FHUFZ19f34h/jU6fPo1PPvkEmZmZsFqtcaxMOZWVldizZw/+8Ic/ID09HefPnwdw9YGs48aNi3N1yqiqqsKSJUtgtVrhcDiwZ88e1NfXY9++ffEuTTHp6emjzlunpqbCYrGo9nz2U089hXvvvReTJ0/G2bNnsWHDBuj1ejz44IPxLk1dlyPV1dWJAEZNq1atindpivH3fQGI27dvj3dpinn44YfFyZMniykpKWJ2drZ45513ivv37493WTGn9suRli9fLubm5oopKSnijTfeKC5fvlxsa2uLd1miKIoiHytHRCQRr+MkIpKIwUlEJBGDk4hIIgYnEZFEDE4iIokYnEREEjE4iYgkYnASEUnE4CQikojBSUQkEYOTiEgiBicRkUT/H/MO2c9rRPDUAAAAAElFTkSuQmCC", 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" ] @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ "{'A': (1, 2), 'B': (3, 4), 'C': (5, 7), 'D': (3, 6), 'E': (4, 3), 'F': (4, 5)}" ] }, - "execution_count": 53, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -117,14 +117,14 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'A': (-2.3333333333333335, -2.5), 'B': (-0.3333333333333335, -0.5), 'C': (1.6666666666666665, 2.5), 'D': (-0.3333333333333335, 1.5), 'E': (0.6666666666666665, -1.5), 'F': (0.6666666666666665, 0.5)}\n" + "{'A': (-2.0, -2.5), 'B': (0.0, -0.5), 'C': (2.0, 2.5), 'D': (0.0, 1.5), 'E': (1.0, -1.5), 'F': (1.0, 0.5)}\n" ] }, { @@ -133,13 +133,13 @@ "" ] }, - "execution_count": 54, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -149,7 +149,7 @@ } ], "source": [ - "G.set_mean_centered_coordinates()\n", + "G.set_centered_coordinates(type = 'min_max')\n", "print(G.coordinates)\n", "G.plot()" ] diff --git a/docs/searchindex.js b/docs/searchindex.js index d5b726e..01994c4 100644 --- a/docs/searchindex.js +++ b/docs/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles": {"Acknowledgements": [[10, "Acknowledgements"]], "Authors": [[5, "authors"]], "Citing": [[0, null]], "Code style and formatting": [[1, "code-style-and-formatting"]], "Computing the ECT of G": [[12, "Computing-the-ECT-of-G"]], "Conclusion": [[1, "conclusion"]], "Constructing the embedded graph": [[12, "Constructing-the-embedded-graph"]], "Contact Information": [[5, "contact-information"]], "Contents:": [[5, null], [13, null]], "Contributing Guidelines": [[1, "contributing-guidelines"]], "Contributing to the ect Package": [[1, null]], "Dependencies": [[5, "dependencies"]], "Description": [[5, "description"]], "Documentation and tutorials": 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end of file diff --git a/paper/generating_figures.ipynb b/paper/generating_figures.ipynb new file mode 100644 index 0000000..e69de29 From 9c8b85006f7b62a1fee974b7c89e1ad4fb3480b5 Mon Sep 17 00:00:00 2001 From: Liz Munch Date: Mon, 13 Jan 2025 12:26:28 -0500 Subject: [PATCH 2/2] Found some errors inthe tutorials, and a bug in the CW complex drawing --- .../Tutorial-ECT_for_CW_Complexes.ipynb | 88 +++---- docs/.buildinfo | 2 +- ...oks_Tutorial-ECT_for_CW_Complexes_15_0.png | Bin 13349 -> 13360 bytes ...oks_Tutorial-ECT_for_CW_Complexes_19_1.png | Bin 17142 -> 16852 bytes ...oks_Tutorial-ECT_for_CW_Complexes_21_0.png | Bin 29162 -> 28750 bytes ...ooks_Tutorial-ECT_for_CW_Complexes_3_1.png | Bin 12295 -> 11657 bytes ...ooks_Tutorial-ECT_for_CW_Complexes_5_1.png | Bin 24613 -> 25029 bytes ...ooks_Tutorial-ECT_for_CW_Complexes_7_1.png | Bin 29290 -> 29203 bytes docs/_modules/ect/ect_graph.html | 29 ++- docs/_modules/ect/embed_cw.html | 25 +- docs/_modules/ect/embed_graph.html | 22 +- 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docs/_static/fonts/Lato/lato-regular.ttf create mode 100644 docs/_static/fonts/Lato/lato-regular.woff create mode 100644 docs/_static/fonts/Lato/lato-regular.woff2 create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.eot create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.ttf create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.woff create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-bold.woff2 create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.eot create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.ttf create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.woff create mode 100644 docs/_static/fonts/RobotoSlab/roboto-slab-v7-regular.woff2 delete mode 100644 docs/_static/js/html5shiv-printshiv.min.js delete mode 100644 docs/_static/js/html5shiv.min.js create mode 100644 docs/_static/js/versions.js diff --git a/doc_source/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb b/doc_source/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb index 29103d7..f748910 100644 --- a/doc_source/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb +++ b/doc_source/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -37,13 +37,13 @@ "" ] }, - "execution_count": 26, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -64,7 +64,7 @@ "\n", "K.add_face(['A', 'B', 'C', 'D'])\n", "\n", - "K.set_mean_centered_coordinates()\n", + "K.set_centered_coordinates(type = 'min_max')\n", "K.plot()" ] }, @@ -77,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -86,13 +86,13 @@ "" ] }, - "execution_count": 32, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -102,7 +102,7 @@ } ], "source": [ - "K = create_example_cw(mean_centered = True)\n", + "K = create_example_cw()\n", "K.plot(bounding_circle=True)" ] }, @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -124,13 +124,13 @@ "" ] }, - "execution_count": 36, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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fdwVaNdtJHmt/cRFLly6ViT3CEDERa2iTHIAncueAo34Anij4qYlodf/99+W+gSKhbSfZ2WqzlPR0dYxmbGXjZNbk1t01zL89KuH8gUSkp5H79Y/k6DrJ11/pdXD37NXr6LnJQvjgrN7R/Px502pvk5zkpF60xtbM8mpvVy3d17XfwsPt41akMntcGOePP+Cii+Dkk+HLL20V2ABxEZG1+nWof+G5gEbu17OPBncNPQpONJ769Fuf6hTCo2G97cAT1d7G6dQYcEY9vvu5gO3ZZTRNq+24NuCw1++yMJeEth28+y6MHg3dux/d4cxmOjRoWOv71L9wEDg0cr/8QQX3DVdVG9xN4pJo1ekkX8oU4ggH7XDrT+HQqt9jfMKtiXz7UwH//NcevngzjYiIil2sZWU6380p4MJBlYSzFgOOtBM/L+rE18lkRuzS6G8S2lY3aRI8/DCMGgUvvwxRUWZXVCcZ9RsQ6XRS4qpdV2D9888BTSN31vfkQJXB7dA0msUHYgBShAo3keS7WxDv2Fzt4ozePaN5cUojbpm4h17nZjJmVAId20ZQVg7LV5Xw6ru5dGoXUUloaxDeWeZgGMiNQzZXESbr0EGd93vnnZZf1lWdMIeDIS3b8uWmtbV+N1v/vIFomsbBmd+Ro7tJHn3NCcHt1nW6NWxmZMlCsL3sbDpEbkGr4cX8xmsSOKV7FP955QBPvnCAXXtdhIdB21YRXHlxHOOuq2zffx0t6nz/FB6iXLqGy4eTuny5b6BIaFtRbi688w6MG6f2Dw8SIzp154uNa6r8emyfXsT26VXp1xKGnE3CkLOrvG9KvXhaJtS+C16IquzctoV3313IB4+7cYTV/GLetVMk059v7P0TaNEQdaEPFYpQJOu0rWbXLujXD+6/HzIzza7GUCenpHJ6k2Y4/dBjMLhlV+lmFIbYuW0LL0y8g9vPO5OFPy7i783d0A1fCqShxfwTzRFj8OOGNtfh2eO+XFZn/QpDyYYN0KeP2pp0/nxofuLhGHamaRpPnjWYCKfTsJdADY2uDZvRVbrGhY+ODes1i+bz7LPPsnnTJrqf8TaaIxXDXi7LdShvBjH/NObxxBFu3eHzZXXWrzBUbNgAp58OERGwYAF07mx2RX7RJC6eZ/oPMeSxdJeLsMIiLmnd05DHE6GpqrC+7bbbiI6ORtOi0RL/B0Tg80um7oBiDW3YcrRFsoWpqD0Jbato0QKuuw5+/RWaBXer8bxW7Xi2/3k4NA1HHbu0HZpGg7AItj78NO8+ej9ud/XLcoQ4Xk1hfSwtvAta0uugReJy1bWfyAmOWLSkd9BSetl6YqlVhUL3uExEM9usWZCSAqeeCk9Uv5FDMLm4bUeaxSdwx8/fsCM/z+ulFg5Nw63rXNKmI/f36c/MqAZce+21ANz00JM4vNw5TYSundu28NnLz/PLrM9o2KgRzz77LDfeeOMJQX08LaIXC9dPQM+9m9N6RB+eQ+HNz+3h20WcgpYwGc2ZBt98o75UVgYLF8KZZ/r6bQnU0S6+zAC3w1t/CW0zffaZmh0+apQK7RDTo3ETfhh+La+uWMJbfy9jX1EhYQ4H5ce1mj2tcbeu0yMljVtOPo2z0lsCMHLkSAAJblGjuoa1R35+PleNmEhGqwxmf/lPKHwDXJmAE/Vyf2yAa6iOTBc4M9Bib4Soi06cLPn662qVyNtvw9VXG/J9iuAmoW2Wjz+Gq66C4cPVpikhKjo8nNt69GZst1OYk7WFP3ZuZ/menWTm5eLS3dQLC6dTcgpdGqZwTosM2iSeuIGKBLeojq9h7XH33XeTk5PDnDlzcMS0RK93JZT+jl66EMpWUlq0hv37dpOU1JiIep0gvAtaZF8I7171yoYbb4TFi2HECCgvV2/gRZ35vrlK7e47efJkPv/8c9auXUt0dDR9+vThiSeeoF27dnWuoSYS2mb45BO48koV2tOnQ5j8bwh3OhnUojWDWrSu0/0luMXxjAprgJ9++omXX36ZF198kZYtVS+PpmkQeRpa5GkArP7zT3r06MHSpZ9y8skne/fATie89pr687rrwO1Wf4o68X0b09rdd968eYwbN45evXpRXl7Offfdx6BBg1i9ejUxMf5ZzidpYYbWrVWX2HPP2eJYTbuQ4BZgbFiD6ha/4YYb6NevH2PGjDG4WsDhgGnT1J9//imhbSPfffddhY+nT59Oo0aNWLp0KWf6aZ6ChHYgzZ8PvXqpgz+6dze7mqAkwR26jA5rjwrd4v76WXI4YOrUozPKd+2CxrXYXU0Axp2nnZeXV+HzkZGRREZG1nj/3NxcAJKSkupcQ03k1SxQvvoKzj4b/vtfsysJeiNHjuTNN9/kp08/YNqku2U5WJCrzdKt2vJ0iz/55JNHusX9xuFQob1kCbRqpYbRRK14usd9uQDS09NJSEg4ck2ePLnG59Z1nfHjx9O3b186+3GfDWlpB8Jvv6kJZxdcoA7+EH4nLe7g56+WtYffu8Wr0r07XHyxmk2elKTe7Auv+LrW2nPfrKws4uPjj3zem1b2LbfcwooVK/j111/r/PzekND2t7//VmF96qnw/vsQHm52RSFDgjs4+TusPQLSLV4ZpxPefBP271fhPXcueDuxTRgiPj6+QmjX5NZbb2XWrFn88ssvNG3a1I+VSWj735dfqj3EZ8607VnYdibBHTwCFdZQ+WzxgAoPV93jZ58NY8bA77/LDmpecOsabl82V6nlfXVd59Zbb2XGjBnMnTs3ID8rEtr+4narMaoJE+DWW8FP0/9FzSS47S2QYQ0mdosfLzYWvv4aSkoksL3k9rF7vLbrtMeNG8f777/PzJkziYuLY9euXQAkJCT47edTQtsfCgpg8GD1DvnqqyWwLUCC234CHdYepnWLVyb58GZCe/eqBsBzz0Etum2Ff02dOhWAfv36Vfj89OnTj7zWGE1C22hlZXD55bBsGbRta3Y14hgS3PZgVliDBbrFq7J7t9r2eOtWtW+5FxOjQpGvx2vW9r667t2ZCUaS0DaSrsPYsfD996pbq1cvsysSx5Hgti4zwxos1C1emc6d1eFCgwapzVfee0+6zCvhQsPlwzptX+4bKBLaRnr1VXUAwFtvqV8uYUkS3NZidlh7WKpbvDJnngnvvquWj3buDPfea3ZFwgR+DW0zNlM31bBhqrV9OBSEdUlwm88qYQ0W7hY/3qWXwiOPQMOGZldiSYHuHjeDX0PbjM3UTbF5M9Srp7YdvOkms6sRXpLgNoeVwhos3i1emX//++jfc3MhIcG8WizGhW9d3C7jSvEbv4a2GZupB1xuLpx/PjRtCrNnm12NqCUJ7sCxWlh7WL5bvCrPPQcvvKCO9mzQwOxqRIAEdEy7ps3US0pKKCkpOfLx8Zu2W47LpY7X3LlTbZ4ibEmC27+sGtZgo27xylx8MTz+uBrj/v572W0R6R43lDebqU+ePJmHHnooUCX57t574bvv1BIMWd5laxLcxrNyWIMNu8WP16IFfPopDBwI48fD//5ndkWmC/R52mYIWGh7s5n6xIkTGT9+/JGP8/LySE9PD0R5tbdxo+qeeuopOPdcs6sRBpDgNobVw9rDtt3ixzrrLBXWY8eq2eXDh5tdkal0H4/m1GXJl+LtZurenllqCa1bw+rVkJFhdiXCQBLcdWeXsAabd4sfb8wYiItTBxOJoOfX0DZjM3W/KymBl16CW25RwS2CjgR37dgprCEIusUrc/XV6s/Vq9UBRcG0OqcWpHvcR2Zspu53d90F06apzVM6dTK7GuEnEtw1s1tYewRFt3hlCgpUd/mwYfDaa2ZXY4pAn/JlBr+GthmbqfvVjBlq/OiFFySwQ4AEd+XsGtYQZN3ix4uJgSefhOuvhwED1MoWEXT83j0eNLZtU78MF18MN99sdjUiQCS4j7JzWEOQdosf79pr4eef1SZPvXpBmzZmVxRQLh+P5vTlvoEie49769131c5Dr78uG/WHmFAPbruHtUfQdosfS9PUnJvff1czyn/80eyKAkq6x8VR994L//wnJCaaXYkwQSgGd7CENQR5t/jx4uLUUF5cnNmVCD+Q0K7JwoWQmQmXXSab9Ie4UAnuYAprCJFu8eN55twcPKiG9rp2NbWcQHHjwO1DF7cv9w0UCe3qFBbCqFGQnKw2LZBu8ZAXzMEdbGHtERLd4lUZNw5+/RVWroT4eLOr8TuXruHyoYvbl/sGioR2de6/H7Ky4MsvIdR+2UWVgi24gzWsIcS6xSvz6KPQpcvRparC9iS0q/Lbb0e3KQ3W879FnQVDcAdzWEOIdosfr2VL9Rp2883qLO5zzjG7Ir+SiWih7Nln4bTT4I47zK5EWJRdgzvYw9ojpLvFj3XTTepgkRtvhPXrISLC7Ir8RvfxlC891HdEs7UPPoB9+8DpNLsSYWF2Cu5QCWuQbvEKHA61VDUzM6gDG8CFhsuHQz98uW+gSGgfb8kSdS5t166Qmmp2NcIGrB7coRTWIN3ilWrRQl1ut5qn07y52RWJOpLQPlZJidp4PzUV5s41uxphI94Gd6m7nHX5WWQV7mF7UQ6HyovQgdiwaJpGJ9M0OpkO8c2IcIT7XFOohbWHdItX4+67VVf56tVQr57Z1RjOrfs2Lu22wSaeEtrHeuYZ2LwZPv/c7EqEDVUX3IfKi5i79y/+2L+OEncZDhy4cR+5796Sg2wr2I0bNxFaGD2T2tGv4UnEh9f+tKZQDWuQbvEajR2rzk54/HE1szzIuH0c0/blvoEioe2Rmal+iG+/XQ4DEXV2fHD/88EnWJW/lRk7fqPEXYaOeit/bGB7eD5XqpezaN9qlh5Yz9C0PpxcvzWaF3sEhHJYg3SLeyUjA+65B6ZMUXtQhNje5MFAQtvjvvvUFqWTJpldibC5Y4P7QNeG5LVrUOvHcKNT4i7jk+3zyCzczbC003FUEdyhHtYe0i3upQkT4O234bbb4JtvgmrTKDcabh8mk/ly30CR0PZ46inVNS779QoDjBw5kp/CD7AwPM/nx/p9/1o0NIal9anQ4pawPkq6xWshOlodKrJtm9mVGE52RAsFpaXq8PjGjdUlhAF+zl5vSGB7LNq/hlYxqZxUv5WE9XGkW7wOhgw5+nddD6rWdrCT0H72Wfjvf2HDBnWIvBA+yist5t6lX+JAw03F6ah5c5ax+6UZRz7WwsNw1Isiomky9bq2Jn7AyYQlxFb6uJ9l/cKc/7zIb598LGF9DOkW98Gtt0KDBvDgg2ZXYgiZiBbssrLgkUfUjkES2MIg729ewsGSohMC+1gpN19MeJNkcLkozy2geG0mB774lQOzfiP1zsuod1LGCfcpdpWyNbZQwvoY0i3uo4QENSltxAg1Sc3m3Pi4jakNxrSt/7bCnyZOVGPYQfIuU5jPpbt5d+Mf1QY2QESzRkS3TSe6QwviTutEw2uH0Ozpm3FERrDz6Q8pP3johPtoTgeNLjidMbeMk8BGusUNce+9kJKiDhQRthC6of3XX/D++/DQQyFxZJ0IjOX7drCn+MTA9UZ4w/okjzoXd1EJubP/qPQ2uWXF/L5nqw8VBg9Pt/gbb7wh3eJ1Va8ePPYYzJgBixaZXY3P9MOzx+t66dLStjC3G664Aq6/3uxKRBBZeSAbzYdf/JjubcHhoGhN5TN7nZrGqgPZdX78YOHpFn/yySelW9xXV10FJ58MCxaYXYnPPKd8+XJZXeiOaXfvrlraQhhozcFdODQNl163/RAdURE44+rh2p9f6dd1HVYf3O1LibYn3eIGczhg4cKgOEwkFCaiWb9Co+k6jBunDgYRwmB5ZcW49BN3O6udqgPfjU5uaZGPj29v0i3uBxERUFamGjJuX39+hT+F3k/8zJlqY4GDB82uRAQhX7rGAdzFpbjyi3AmVb3JT1U7o4UC6Rb3oz//VAcmffih2ZXUWSh0j4dWaLtcarbkwIHqEsJgyVExhGl1/7Uq+HM9uN3U69Si0q87NY2GUZWv4w520i3uZ6eeCkOHwv33q02nbMiXSWi+boEaKKEV2m+/DWvWwOTJZlciglSn+qmU17F7vGzvQXLe/h5HvSjiB/aq9Da6Dp0SQ/Ocd+kWD4DHH4etW+HVV82uRFQhdCai6bra+ezSS6FnT7OrEUGqW4MmXt2uNHMPussNLjeuvAKK1mwjb84ycGik3nUFYQmVb/bjRqdrknfPEUxkE5UA6dQJRo5UJx7ecANERZldUa342sVth+7x0AltTYO5c9U+40L4Sdv4RrSMqs+WogPV7ufs2cpUC3PiiIkioklDEi/qS/yAHlUGtgakxyTSLcRCW7rFA+zf/4ZzzoEw+8WDhHawcLshN1cdvZmQYHY1Ikht3LiRxx57jMXbV5H8zwsrHR2L79+d+P7d6/wcI1uf4tXZ2sFE9hYPsIyMoNjSNFiFxm/Al19Cs2Zqr3EhDLZx40auu+462rdvz6xvvuWiU4bSODIRh4GTWpyaRvPYJC5vdbJhj2kHMlvcJKWlcNlltptJLrPHg4Guq4ln3btDerrZ1YggcnxYj7pnEi/8sIALR47mimb9DX0ut67z1CkXEekMjc4xkG5xU0VEQF6emphWx42CzBAKoR38rwBz58Lvv8M335hdiQgSnm7wd955h4QGyYy6ZxIDL7uayKijh3ikRjfgsvR+fJg1x5DnfKTHBSE3AU26xU02cSL06wdffw0XXGB2NeKw4A/tyZOhWzcYPNjsSoTNeRPWx+pWX40LfpI1Dx29xpO/jufUNEDjkZPP59KW3Xys3l5ktrgFnHkm9O6tXkPPP7/aiZVWoePb8Zp26FMI7tAuLlb76k6YYIsfOGFNtQ3rY3Wrn0FaVBIfbZ/HjqIcNDT0Gl4aHGi40Wkd15CnTrmI9vVTjPpWbEG6xS1C01Rr+9JLYdMmaN3a7IpqJLPH7S4qCr77zlZjMsI6fAnrYzWKSmRcxlBW5m5h4b7VbC1UB3440FTLoLycsLAwXIfDvEtSGiNa92JI046EO5xGf1uWJ93iFnL++WqzlVR7bOgjoW1nu3erQ0EGDwZn6L3wibozKqyP5dAcdK2fQdf6GRwsPURW0V52FOWwa282v8/9lpGXXk7/dl3pkpRGekyigd+NvUi3uMU4HCqwi4uhpESWzFpA8L6NfeUVtWQhv/IjDoU4XlWzwc8fOdqnwD5e/YhYuiS0ZHDjXpzpaMmeabO4Mqk956V3CunAlm5xi3K7oUsXW2z/LLPH7aq8HKZNUyfW1K9vdjXC4vzRsha1J93iFuVwqG7y11+Hhx6CyEizK6pSKHSPB+dvxpdfwo4dcPPNZlciLCxQLWtRM9lExeLGjoWcHPj0U7MrCXnB2dJ+6SW1VKFbN7MrERYkLWtrkW5xG2jXTh1n/NJLqgfTonRdQ/ehtezLfQMl+EJb11VXjg2WJ4jAkrC2JukWt4mbb4YpU9Q8obg4s6uplK9nYst52mbQNLjjDtnBRxwh3eDWJd3iNnLRRWp3SYsGthl++eUXLrzwQtLS0tA0jS+++MLvzxlcoV1YCP/6lxrPFiFPwtrapFvcZjRN9WQuXKhOTbSgQM8eLygooGvXrrzwwgt++o5OFFzd47NmwTPPgLwAhDTpBrcH6Ra3od274fTT4bXX4Prrza7mBIEe0x4yZAhDhgyp8/PVRXCF9rvvqgloMp4dkiSs7UM2UbGpxo1hwAD1WmvB0DZKXl5ehY8jIyOJtMhSt+B5e7t3r9qy1MIzG4V/SDe4vUi3uM1dc406PXH7drMrOYFR3ePp6ekkJCQcuSZbaGOZ4Glpf/yxGnO57DKzKxEBIi1re5JucZu75BK1bvuDD+Cuu8yupgKjusezsrKIj48/8nmrtLIhmEJ7wACYOhUaNjS7EuFnEtb2Jd3iQSA+XoV2TIzZlZxA93FHNE9ox8fHVwhtK/FraP/yyy889dRTLF26lJ07dzJjxgwuuugi/zxZhw7qEkFLwtrepFs8iDz7rNkVhCy/hrZnOvx1113HP/7xD/890RtvqBNoxo7133MI00hYBwfpFg8y27bB5s3Qv7/ZlRyh49tJzLW966FDh9i4ceORj7ds2cLy5ctJSkqiWbNmdS+kGn4N7YBMh9d1tUtPnz4S2kFGwjp4SLd4EHriCXXOw7Zt6lARC3CjoQVwR7QlS5bQ/5g3LePHjwdg1KhRvPnmm3WuozqWGtMuKSmhpKTkyMfHT7uv1PLlsGEDBHBxu/AvCevgIt3iQerqq9U8ogULoG9fs6sxRb9+/dB9adrXgaVCe/LkyTz00EO1u9OsWepgdgt10Yi6kbAOTtItHqR694ZGjVRr2yKhHQoHhljqN2jixInk5uYeubKysmq+06xZMGQIhIf7v0DhF7LOOnjJ3uJBzOFQZzzMmmV2JUcEehtTM1iqpV2nXWceekiWedmUtKyDm3SLh4DLLweXC4qLISrK7GpCgqVCu07kNC/bkbAODdItHgIGDVKXRei6j7PHAzs8XSd+DW2/T4d/5BHo1QsGD/b9sYTfSViHDpktHkL274fFiy3xOixj2j5asmQJ3bt3p3v37oCaDt+9e3ceeOAB3x/80CF49FFYt873xxJ+JWPWoUW6xUPMZ5/B+efDvn1mVxIS/NrS9ut0+B9+gNJSuPBC/zy+8Jm0rEOTdIuHmAsuALcbvv1WHSZiolBoadt3THvWLOjUCVq1MrsScRwJ69Al3eIhKDVVDVPOnGl6aLt1Dc2H4JXZ4/6i6zB7thzDaTES1qFNusVD2HnnwX//q1rcJvauyEQ0q3K54OGHoUcPsysRSFgLRbrFQ9igQfDHH2pSWnKy2dUENXuGdlgY3HCD2VWEPAlr4SHd4iGuTx/4+muzqzjc0vZlTNvAYvzEnqH95pvQvLlsXWoSCWtxLOkWFwAUFcHGjdCli2klhMJENPv1Yek6TJwI339vdiUhR5Zuicp4usXfeOMN6RYPZU89BWeeqYYvhd/Y7zds/XrYtQv69TO7kpAhYS2qInuLiyP69YODB2HFCtNK0A24rM5+3eNz5oDTCaefbnYlQU+6wUV1pFtcVHDqqWr/8Tlz4PCGWoEWCt3j9gvtuXPVmsC4OLMrCThd1zl0qISS0jLCw8OIj4tC04z/IZOwFt7wdrZ4YXkxRa5SnJqDuPB6ODX7dfAJL0RGqglpc+fC+PFmVxO07BfaZ50VUqfJHCoo4fufVvH7ks2sWb+TvPziI1+Ljo6gXesUenZrwXmDutAgKdan55KwFt6qbrZ4qauMeXtXMH/vStbkZZJTknvkaxGOMDJi0+haP4Pz0k4lvZ6c0BdUzjnH3PlGvvZx26B/3H6hPXas2RUERGFRKW+8+yszv15GWbma2HH8coSiolKWr8xixd/beeO9X+l/RnvGje5f6/CWsBa1UVW3uMvt4pOsX3hv208cKi/CgYb7uFfBUnc5a/IyWZ+/nQ8z53ByYhtub3sxzWJSAv1tCH+YMEFdZvGxexzpHjfYhg2Qna1mKPqhW9gq/lqVxaNPfUXO/kO43TW/9fPcZs78tSz6YxP/um0wA85oX+P9JKxFXVTWLZ5ZsIdH/36XDYd2HLnd8YF9LJfuBuCvg5u4YfEzjM4YwmXp/fwy3CMCTNfV+drRgX8dkR3RrOatt+D111VwB6n5CzcwafJMdF33KrCP5XbrFBaV8tCUWeTk5HPZxb0qvZ2EtairyrrF1+dvZ/yyqRSXl9b68Tzh/fLGr9hemMOd7f6BQ8a87a1XL9WwevZZsysJSvYK7SVL1NalQfpufPnKTCY9/gWuWob1sTzvFF98bQ5xsVEMOefoRgcS1sIXlXWLZxft4/+WTaWovKTalrU3vspeRGxYNDe1vsCIcoVZMjLUa7UJZPa4leg6LF0KN99sdiV+UVhYwiNPfVVp98yu7UtYv+ITuve5lbj6TU/4+qo/plNwaDen9q84lvTsS7Pp1iWdgkM5EtbCZ8d3i7t1N5NXv0+Rq7TKwN753d+se6ryiUlNh/eg9ZizKnzuw8w5nNqgPd0SWxtevwiQHj3gkUfMOTxE13wbl5bQNlBWFuTkBO0hIa+89Qv7DxTgNnBQpbzcxbVjnuOnrx6TsBY+qaxb/KvsRazK3erV/dvddS71miVW+FxkgxMnTDrQmLz6A97pPZEIh31ensQxevSAQ4fURljta55bI2rHPr8V+/erH4YgDO3cvCK+/O6vWo9h18Tt1il2x3DFrQ9y/rVXSViLOqmsW9ytu3lv609eP0ZMywbEt2tc4+3c6OwpOcgve1YwsPHJda5ZmOjkw//fli8PeGjLRDQr6dbNtHESf/vux5W4XG6/PLbm0EhI6iiBLeqsstnif+xfx56Sg355PgcaM7b/KqFtV4mJsGMHpKYG/rlDYJ22faZp7t2rxkiC0ILFm7x6h6fjRne7TriqvY9bZ9Oq7QZVKkJNVXuL/75vTe12NnPruF3uCleVN0Vndd42DpUV+VK6MFNaWtBOGDabfVrap5wCl18OU6aYXYmhdF1n3cbdXt12+YIXq/xaZHRilV8rOlRMQV4RMfHS2hbeq25v8TW5mUeWa3njz1s+OOFzZ/5wBw5n1cG/Pn87Jye18b5gYR2ffgovvww//hjQp5XZ41ZRXAzbtkGb4PsF3rf/EEVF3q1vbdf1curFNDrh85vWfElJcW4l9zhq/+5cCW1RK9XtLb6tcE+tHqv9hMHUa5ZU4XPVBbYGbCvcLaFtV2Vl8NNPkJsb+Ba3Dbq4fWGP0N6yRc0QaNvW7EoMV1Ja7vVt68U0qnTJV1hYFCVUH9rlZd4/jxDV7S0OUOouq9Xj1WuW5NVENA8NB8Wu2m/WIiyiXTv15/r1R/8uDGGPMe2NG9WfQRjaYU5nQJ6nulaNEMfy5sjNMM2/P7c6OuGy5Mu+PL2i69YF9Gk93eO+XFZnj9+KrVshPh4andg1bHcNkmIIC3NQXu7fSXYJDULvKFNRN94cuZkSlUhmLbvIa0NHJzUqqeYbCmuKi1Ozx9evD+zzyuxxi7jlFjWmHYSzEcPCnLRq7t/jCcMjw0ioZCMLIY5X1Wzx43WMb+73c7Hbxqf79fGFn73yClxxRYCfVDPgsjZ7hLamQf36ZlfhNz26Ncfh8M8Pi+bQaNq6sZyeJGrkTbe4R9fEjFrNHq+txlGJJEfE++3xRQBccAF07Gh2FUHHHqE9ZAh8/LHZVfjNhUO6VrsbWuOmPTnzvCcqnYQG0LnXdSfsO+6hu3VO6hN8cwGE8Tzd4m+88UaV3eIe/Rp1pZ4zssbHTB3ciX4/ja/lJDSNi5v2lTeadrd6NUyaFNhtxnQDLouzR2gvWACu6jcRsbMmqYmc2rMVToNb25qmkdAglubt0gx9XBF8vO0W94hyRjCsSR8cfuhOjHCEcW5q5cfKChvZuBEefhh27gzcc0poW0izZmZX4Fd3jh2IM8zYGbm6rnPOFX3Q/NT1LoJDbbrFjzWixTkkRyYYHtzj2gwjITzG0McUJvC8Zmdnm1tHkLFPaKcFd2sxtXF9bv3nAAMfUaf7WR1okpFi4GOKYFSbbvFjRYdFMrHjlYY1Thxo9ExsywVppxn0iMJUnr3Hd3u346MhPEdz+nJZnH1C24zN5wNs6JBuXHOZES9YOnt3ruRATnAesCKMU9tu8eN1S2zNhA6+zxB2oNE6rgkPdhklY9nBomFDcDph166APaXnlC9fLquzxzrtN96AqCizqwiI0SPPICE+mpffmAuAqxbHdTocGm63ziUX9mDn1oM88cTDaBoMvd77Lk8ROuraLX68Qak9iXJGMGXNh5S6ynBR+1nlpzbowL87XU29sND4PQ8JDgeMHh30Q5uBZo/Q/sc/zK4gYDRN47KLe9Gzewsef/ZrNmzag9OhVRvenrBumBzHhDuGcHLX5uj62WgaTJnyMCDBLU7kzSYq3jqz0Ul0TGjOM2s/ZdG+1Tg1R7VLwjQ0dHRiw6K4re0lDEw5WVrYwejllyEvL3DPFwKbq9gjtL/5xoRF+uZq1aIhrz4/ihV/b+fzr/7k9yVbKj1YJCLcyUmd07nkgu6c2iuDsMPblWqaxuOPPw5IcIsT1bS3eF0kRyYwuesNbDqUzawdC5i7+y/yygtPuJ1Tc9AmrinDmvSmf6PuRDrDDXl+YUF798L2AB4N7Ou4tA3GtO0R2l98EXKhDSp4u3ZOp2vndHRdJ3vXQbZl7aOkpJzwMCdN0hJp1jQJZxX7iktwi8oY1S1elYzYNO5sdyl3truUnJJcNh/ayd8b1nD3v+7mtWdfYkjP/kTIvuKh4f77YeFCs6sIKvb4zWns/cYMwUrTNJqkJtIktepzs6u6nwS3OJaR3eI1SY5MIDkygbBtheT8tpH0sAYS2KEkNTWg67Q1XV2+3N/q7PHbI6HtEwlu4eGPbnEhqpSaqrrIA0XGtC0iiPcdDxQJbuHvbnEhTpBYu55Bn8mYtkVkZJhdQVCQ4A5tgewWFwJQRypHRUFxsdmVBA17hPapp5pdQdCQ4A5N0i0uTHHuuWpHtISEwDyfdI9bRFmZ2RUEFQnu0CLd4iJkSGhbxIYN0KCB2VUEFQnu0CHd4sI02dkwaJDZVQQVe4R2jJz44w8S3MFPusWFqcLD4e+/A/d80tK2iLg4sysIWhLcwUu6xYXpYmMD+3wye9wiAv0/PsRIcAcn6RYXpouKUgeHuGt/iIyonD1COyLC7AqCngR3cJFucWEJmqZ6SnNzA/N0IbAjWkDefr/00ku0bNmSqKgoevTowfz58wPxtKKWPME9YcIE3nryYWa98bLZJYk6kG5xYSmvvhq459INuOogkBnn99D+6KOPuOOOO7jvvvtYtmwZZ5xxBkOGDCEzM9PfTy3qQILb/jzd4m+88YZ0iwvznXuu2RX4VaAzzu+/0c8++yw33HADo0ePpkOHDvznP/8hPT2dqVOn+vupRR1JcNuXp1v8ySeflG5xYQ2vv252BX4V6Izz65h2aWkpS5cuZcKECRU+P2jQIBYsWHDC7UtKSigpKTnycV4gD08XFcgYt/1It7iwpGeeCdhTafg4pn34z+OzJzIyksjIyBNuX9uMM4JfQzsnJweXy0VKSkqFz6ekpLBr164Tbj958mQeeughf5YkakGC215ktriwpED+LBq05Cs9Pb3CpydNmsSDDz54ws1rm3FGCMjscU2r+I+o6/oJnwOYOHEi48ePP/JxXl7eCf94IrAkuO1BZosLy7Lhcq+srCzi4+OPfFxZK/tY3macEfwa2snJyTidzhPecezZs+eEdyZQdReEMJcEt7VJt7iwtECGtkE7osXHx1cI7arUNuOM4Nd+i4iICHr06MHs2bMrfH727Nn06dPHn08tDCaT06xLZosLSxs4MHDPFeAlX2ZknN+7x8ePH8+IESPo2bMnvXv35pVXXiEzM1NaBDYkLW7rkW5xYXkvvADvvGN2FX4T6Izze2hffvnl7Nu3j4cffpidO3fSuXNnvvnmG5o3b+7vpxZ+IMFtHdItLmxhx46APZUZO6IFOuMCMhHt5ptv5uabb677AxyzDEyYT4LbGmS2uLA8XYfOnQP4fJhyypfPGVcL9th7vKAAGjY0uwpxDAluc0m3uLCF4mJbzh63MnuEdn6+2RWISkhwm0O6xYVtBPq1W87TtohDh8yuQFRBgjvwpFtc2EaAQzsUTvmyR2jL0ZyWJsEdONItLmxFGlyGs0dot2ljdgWiBhLc/ifd4sJ2TjoJdu8GP200cgKDtjG1MnuEtswetwUJbv+SbnFhO5oGUVGBez4Z07aITz+FsWPNrkJ4QYLbP6RbXNjSjz9CAA+BkjFtqzh40OwKRC1IcBtLusWFbW3aBL/9ZnYVQcUeoe2nI86E/0hwG0e6xYVt7dwJjRqpce1AkO5xi5DQtqW6BHdpaRm7dx8gN68At1snPDyMhskJJCXFBVVg5RcXsePgAbbmHSTu5J4s3buPJvmHSImLrXA76Ra3vjJ3GdlFmWxiDR0ubMVm1tCwMInUqKaEOezxEus3O3dC48YBDW2furgltA0ioW1b3gR3aWkZf6/exp9/bmDP3oOVPk5YmJM2rZvQ4+Q2NG3a0G9n1frTgcICft+yiSXbNpNfUnzk8ynDr+LJZat4ctkqGtSL5uIuHbmy+0kkOp3SLW5R5e5yVuQu4Ze9s9lyaD1u1K5fZz94GvP4hnlrv8GBkzZxHTir4SA6JXTHoQXPm06vZWcHbuZ4iLBHaH/yidkVCB9UFdy6rrNy1RZm/7iU0tLyah+jvNzFunVZrFmbSZO0Bpx//mk0SKr5vFsrKC0v5/vVK/ht03rQNHS96rfz+wqLmL74T17/fSlp+QfZl5fHHDly01LW5q3k3W3TyC07gIaGXkXzzI2LDfmrWZe/iuSIRoxoMZZWsW0DXK3J7rxTbUP9ww+BeT7pHreIQC4ZEH5xfHC73FCW0J5Nm3d6/Rjuw2GXvXM/r7/xLYPO6Um3rhl+qdcoO3MP8tai+RwsLFCvB9UEtofr8G22x8TT+p77KYiu598ihVdcuovPst5hfs5sNFRPT1WB7eFpge8rzeG59Q8xKGUY56ddGjqt7gEDIC8vcM8XAqFtj5+cCy6AwkKzqxA+8gT3v+6eyNJ1eWzanF2nx9F1HZfLzbffLWbxH2sNrtI42QcPMPWXHzlYVFin1wLN4aAQjave+5jl2d6/uRHGc+ku3tzyAvNzZgM1h/Xx9MPh/cPumXyU+Ua1vS1Bw+WC555TM8iFYewR2vPnqwkNIigUp/QgJrkp4Pu49E8/L2Pd+izfizLYoZJiXv1tDqUul08v0G5dp6TcxfUffc6ufNkS0iyzdnzI8oOLDXmsBfvm8MPuWYY8lqXt3Qvjx8O6dQF7Ss86bV8uq7NH9zio0M6wdleoqNms+atYtGob1QV24f5s9qyeT/6uTZQW5gIQUa8+camtadjuNGKS0yvc/ptvF5PetBH16kX6s/RambF8CcVlZZUGdt7Sxez59MMKn3PExBDRqDGJZ/QjpkOnCl9z6zqFpWXc+80PvH7ZxbachGdnmw6t4+c933h12zWzNvPTQ4sY/s65pHRsUOXtvsn+lC4J3UmLbmZUmdbjaWjJRDRD2aOlDbBtm9kVCB8dKizhmQ/mVnubvWsXsmbWcxzam0mjjmfQZuANtBk4mpROZ1B8cBdrvvwPxXk5Fe5TUlLGvF/+8mPltbNu905WZW8/MgZflUaXXkHTsbfRZMxtNLp4OJrDwc63X6dgzd8n3Nal68zfso0f1m/0V9miErqu8/62V9H88FL5Qebrhj+mpWRmqj+bNDG3jiBjj5Z2w4awYYPZVQgffb1gNcUlZVV+PX/3FrYt+oyEph3I6D8Kh/Poj2d8WhsadejL/i1/4QgLr3A/zyz0fv26ER1l/olwv21aj0PTagztiJRUopoe7TWo17Y9Wx7+N/l//XlCaxvAoWm8+ccyzm0nB+gEyvr8v9lTYvzQnBs3Wws2klW4lfR6LQx/fEtYvx5iYwPb0paJaBYxZQoMHWp2FcJHn/y8vNph7F0rfkLTHDTvM7xCYB8rqWVXIuolnPB5l8vN339vNaZQHxwsLGDd7p01BnZltLBwcDrRHM5Kv+7WdZZs38Hmfft9LVN46decn3D46WXSgYMFOT/75bEtoXFjuPpqdWhIgITCmLY9QvvSS+Hkk82uQvjg4KEitu06UOWKJ93tJn/nRuo1aEpEvdqvv9Y0yMza42OVvtu6L6fmG3m43eguF7rLRXnuQXK++gK9tJTYbtX/rC/ZvsPHKoU3dF1nQ/7qI8u2jObGzbr8E4dCgsaIEfDyy4F/Xt2Hywbs0T2+aRP8/LOaiSiTcGxp3bbqA7W8pAC3q4zI2MQTvqa73VT4jdIcJ0zG0nXIzq5FYPrJ9oP7veoaB9g+9fkKH2thYTQcegkxbdtXeZ8wh4NVu/ZwWVefSxU1yC07QIHLvzP2c0p2U+IqJtIZhHtRrFsHsvWu4ewR2mvXwr/+BVddBampZlcj6mDH3tw633f1l89RtP/omu6mPS+gcZf+J9wuP78IXddNnV19oLDA667xRsOvIqKRGu9zFRyiYPVK9s76HN3tpn6fMyq9T7nbTdbBuv9bCu/tL93r9+fQ0TlQuo/G0UE2WSs3F9q3h/feU/tsBEoIjGnbI7Rbt1Z/rl8voW1T5S43mlb1hmBhkTE4nOGUHDpwwtdanXU17vIyygrz2PjTG9U+j9mh7XJ735Ua0SilwkS0mHYdKD9wgH3ffUVc9544o6MrvV+py+VznaJmLj0w/86Bep6A8kwcbtcuoE8bCudp22NMu0ULcDhUaAtbio4Mr3YHT83hIC61NYX7tlNaWHHbw+j6jYlJTic6sfo3bA6HZvoe3RFhYT5tGRORmoZeVkZZTuXDCRoQE2H+DPlQEOEIzLr/CKd19hcwjOe1uo2sdDCaPUI7MlIFdwB31hHGatWk6o0mPBqfdDa67iZzwae43bVvfVjhAJGUuASf5l2UZKtJZs6Y2Eq/7nQ4aJtc87+l8F1KVJrfnyNMC6dBREO/P0/ArVunZo/HB/h30pdJaDaZjGaP7nGA4cOhVSuzqxB11KZpMk6Hhstd9W9FXEpLmp12CVmLZrBm5rMktzuN6PqNQdMoK8rj4NaVADgjTpy043BopKUl+61+bzVNTPJ629LS3Tvh8JsTV2Ehh/5eQdHG9cR06kJ4UuXBXO5206lxI8PqFVWLckaTHNGInFL/rUpoEt0sOA8P2bsXOnQI+NOGQve4fUJ7yhSzKxA+iAgP45SOzfl99Tbc1QR3o/Z9iG3Ugt2rf2H3379QVqS6yiPq1Se2UQvanjuG+LQTu9zcbp3Wrf3fMqpJywYNiXA6vRp3PnYrU0dUFGGJDUg+fxgJp51e5X3CnQ76tAjirS8tpmv9XszZ861fln1paJxUv4fhj2sJL70EpaVmVxGU7BPaLhesWQPNmgW+y0UY4rKzu7Fw1dYab1cvKY2Wfa+o1WPHxkbTOsP80I4IC6Nn81Ys2rKxylnk8T1OIb7HKbV+bKemMaxjBxLkqNqAOb3h2fy052uvb99haCs6DPWuR1DDQe8G/epYmYXpuhoiMmPuRQjMHrdPv8zOndCli1qvLWypd5cWtEprgMNh/Ozu3qd1NH0SmkffjLZ+mcGuA9efIpsMBVLDyBS61T/F8F3RNDR6J/cjLvzE3f1s78cf1frsXbsC/9whMKZtjVc5bzRpAo0awdKlZlci6sjpcPDQjYMN/cXQNI20tAac3L21cQ/qowaxcZzb8SRDH1MDbjn9NNo0NH/cPtQMT7/W0M1PNDTiwhMY1qR2vUm2sWQJ7NunXq+F4ewT2poGPXtKaNtc++YpjLu0ryGPpWkaERFhXHhBb8u0sj3OaN2WtOh6h3dz843udpMRH8uY3r0MqEzUVnx4Alc2vRFd1306G91Dw8G1LcYR7axnQHUWtHSp2nbahN9J2Xvcanr0UO/iDPjFEeYZMbgn119wqk+P4Qnsq64YQFJinEGVGWfr6lUsf/R+wvfl4MtogEPTiMjLZcGk+1iyeLFxBQqvlZeXM3ns08x5aDHa4f/qQsOBAyc3tLqNNnEdDa7SQpYuVa/VZpDucYvp2RNiYuDgQbMrET7QNI2xl5zO/dcNIjoynLr8pjRunMi1I8+lceMk4wv00ea/V/Dw9VfQrmVL5t77L64+uRugAthbnqAfflIn5t59J906duDcc89l4cKFfqhYVKW8vJyrrrqKGTNm8PgNzzCuzQTiwuJrfb62hkZiRANub/tvTqrf00/VWsC+fbB1q3qtNkMIhLZ9Zo8DXHihHNEZRIae0ZmWDaO5ZNyj1G/eGU1zVNn9qGkauq5Tr14kvU/rSM8ebS3XJQ5HA7t927bMnv0DCQkJPHBOfwa3a8PjP83j7917CHM4KK+i29zztTbJyUwYcCZ9WzYH4Ouvv+b888/n3HPP5fvvv6d3796B/LZC0rGB/emnnzJs2DAA/t3pab7O/oTfcuZQrpejofYQP56Gho5OhCOSMxsOYkjqxQHbZc009evDypVqDpLwC3uFtqelUlQEVezLLOzl9Zf/x84/Pmf8/bezaWsOmZl72LlrH8XFZUduk5gYS1paMm1aN6Ftm6Y4ndYLa6g8sD1OadaUL667mlW7djNz1RqW7djJmj17j6znDnc6aN+wId2apDKsUwdOSk2pMAM9NjZWgjuAqgpsgGhnPS5NH8X5acNZvO9X1uf/zdaCDeSVHz3IpX54Ei1iWtM+vgs9E/sE5ylelXE6oXNn055eNlexov/7P5g/H2R8z/Z27tzJtGnTGDZ6HCmpKaSkptCndyd0Xae83IXbrRMW5rRsSB+rusA+VufGKXRurE72cus6xWXl6OhEh4fX2H0uwR0Y1QX2saKd9Tir0SDOajQIgDJ3GeV6GeFaBGEO+720GuLmm+G002DkSHOeX9ZpW1D79mqiQ15ezbcVlvbEE0/gDI/g/JGjK3xe0zTCw8OIjAwPqsA+nkPTqBcRTkxEhNfj3Z7g7t69u4xx+4G3gV2ZcEc40c56oRvYxcXwxhtw4MST+oRxrP+KeLx+/cDtVq1tYVueVvYFo24kJt6+G0zUNbB9IcHtH74EtgAWLYKSEvUabRJZ8mVFrVurSQ5z55pdifBBVa1sOzEjsD0kuI0lgW2AOXMgKUntXGmWEJg9br/Q1jT1Tk7GtG0rGFrZZga2hwS3MSSwDTJ3Lpx1limbqoQSew6+/Pe/cmiIjdm9lW2FwPaQyWm+kcA20COPQHi4uTXIRDSLSkqCMHu+3wh1dm9lWymwPaTFXTcS2AY780ww+Q2jZsBldfYMbYArr4R77zW7ClFLdm5lWzGwPSS4a0cC22DvvQfTppldRUiwb2jXqwczZphdhagFO7eyrRzYHhLc3pHA9oNnn1UT0cwmE9EsbOhQWLsW1q83uxLhJbu2su0Q2B4S3NWTwPaD7dvhzz/BAv+WsuTLygYOhKgo+PJLsysRXrBrK9tOge0hwV05CWw/+fJLNcdo8GCzK5GWtqXFxKjg/vprsysRXrBjK9uOge0hwV2RBLYfzZqlJqElJppdSUjwa2g/9thj9OnTh3r16lG/fn3jn+B//4OZM41/XGEoO7ay7RzYHhLcigS2n40dC/fcY3YVRwVxKxv8HNqlpaUMHz6csWPH+ucJWrSAuDj/PLYwjN1a2cEQ2B6hHtwS2AEwdCgMGmR2FYCMafvsoYce4s4776SLP7e1e+ABGG2PMAhFdmtlB1Nge4RqcEtgB8DUqfDtt2ZXEVIsNaZdUlJCXl5ehatGERHw8cdqo3phOXZqZQdjYHuEWnBLYAeAy6UaTVY6vEkmogXW5MmTSUhIOHKlp6fXfKehQyE/H376yf8FilqxUys7mAPbI1SCWwI7QH79FXJy1GuwRUj3eCUefPBBNE2r9lqyZEmdipk4cSK5ublHrqysrJrv1KULdOigduQRlmKXVnYoBLZHsAe3BHYAvfeemld06qlmVxJSar2B9y233MIVV1xR7W1atGhRp2IiIyOJjIys3Z00Da65BiZPVoewR0XV6bmFsTyt7GGjx1m6lR1Kge0RrIeMSGAHUHGxGpa85Rb1GmwVvnZx+7Gl/dhjj/H111+zfPlyIiIiOHjwYJ0ep9ahnZycTHJycp2ezG/++U8YMUIC20Ls0MoOxcD2CLbglsAOMF2HKVPUXhkW4msXtz+7xz2rqXr37s3rr79e58fx61FZmZmZ7N+/n8zMTFwuF8uXLwegdevWxMbGGvdEnjcRum6td30hyg6t7FAObI9gCW4JbBNER8OYMWZXYSsPPfQQAG+++aZPj+PXiWgPPPAA3bt3Z9KkSRw6dIju3bvTvXv3Oo95V+v336FVK9i92/jHFrVi9Va2BPZRdh/jlsA2wcGDcPPN4M2co0AzaPb48auYSiy0Osmvof3mm2+i6/oJV79+/Yx/sjZtYMcO+PBD4x9beM3qM8YlsE9k1+CWwDbJp5+qYzjD/NpRWzcGhXZ6enqFlUyTJ08O7PdRDUst+fJJUhKcd57MIjeZlVvZEthVs1twS2Cb6N134eyzITXV7EpOYNSSr6ysrAormSZOnFjp8/lzNVVVLPhWyQfXXAPDh8O6ddCundnVhBwrj2VLYNfMLmPcEtgmysyEefPgrbfMrsSv4uPjiY+Pr/F2/lxNVZXgCu0LLlAt7i++sNYG9iHCqq1sCWzvWT24JbBN9tprEBsLF19sdiWVC/CSLzNWUwVXaEdFwbJl4M1OasJQVm1lS2DXnlWDWwLbAkaNgm7dLHtQk6braHrdU9uX+9bEqNVUwTOm7dGsmVr25c2+5cIwVmxlS2DXndXGuCWwLSIjAy65xOwqbMmo1VTBF9oA//d/aqKECAgrzhiXwPadVYJbAtsiRo60/uocg2aP+4NRq6mCM7T794clS+CPP8yuJCRYrZUtgW0cs4NbAtsi/v4b3nnH8ptXyYEhdjVkCDRvDi+9ZHYlQc9qrWwJbOOZFdwS2BYydSqkpFh3AloICc7QdjrVFnsffgj79pldTVCzUitbAtt/Ah3cEtgWkp8Pb78NN94IERFmV1M9C3ePGyU4Qxvg+ushMRFWrTK7kqBlpVa2BLb/1Sa4y9wu/ti1nemrlnLP/O95ZstKGtxwBe/s2MjXW9axqyC/yvtKYFvMjBlQUKAOZrK4UOgeD64lX8dq1Ejtjet0ml1J0LJKK1sCO3BqWg6WU1TAO6uX886aZewrLkIDnJoDl+6mXq+uzNydyee7t6EBZzVtyXWdenBW0xZoh8dKJbAt6Jpr4KSTZCmtRQRvSxtUYO/dC4fXwwnjWKWVLYEdeJW1uHVdZ8bG1Zz18Wv8d/lC9hUXAaq3sVx3owOa04nrcP+jDszfsZVR33/KjbO/YG9hgQS2FRUUgMOh1mbbQQh0jwdvS9vjpptg/XpYsUL98AlDWKGVLYFtngot7iFDGPrqf5ifuxcN71/3XIc3svg5axMDPn2d9PnLmC2BbR26rlbiDBigzs62ASufp22U4E+x8ePVcoWvvjK7kqBhhVa2BLb5YmNjmfXllzS55Tp+ObAHqFtDxaXr5BUXs7J7a5754F0JbKv46Se1bLZ/f7Mr8V4ItLSDP7T79lXX5MnqnaPwmdmtbAls6/hgyxoKW6ShOXxcv+vQcEZE8FZJDnml1jm7OKRNngzdu8OgQWZXIo4R/N3jABMnwvnnq9Np/HGWdwgxe49xCWzr2HBgH08t/bXKrx/6bQn73/y4yq83+tdNRLXLOPKxDuwvLuKRRT/z1JlDjCxV1NbixfDzz/Dxx5bfUOV4duji9kVohPaQIXDrrWoJmPCJma1sCWxrmfLHPHQveq+Srr2M8MYNT/h8eFrKCZ9z6zofr1/FDZ170j7pxPuIAFm3Dnr0sN8+47ruW4+qDXpjQyO0NQ3++1+zq7A9M1vZEtjWsuNQHj9lbvJqCDC8SQqRLbxfLuTUNN5ds5xHTz+n7gUK34wYAVdfLZN3LSi0/o/8+CNMmGB2FbZlVitbAtt6Zm5ac2RttdFcus6nG1bhcrv98viiBp98ok5JtGFgh8LmKvb7v+KL3bvhiSdgwQKzK7Eds2aMS2Bb07Ld2d7f2K2ju1wVrxoCuai8nE25+32sUtTa8uVw2WUquO0oBGaPh0b3uMeVV8KTT6rW9rx5tptgYSYzWtkS2Na1fO9O3F6O/+2e/MKJn3Q4aDat+rW/q3J20zYxuS7libqaOBHatoVRo8yuRFQhtELb4VDLGM4/H779Fs47z+yKbMGMsWwJbGs7UFLk9W0bXH85YamNKnyupq51h6aRU1RYp9pEHc2dC999p1rZYfaMBs2tLl/ub3X2/D/jiyFD4Mwz1cQ0CW2vBLqVLYEdXMJSG9VqIhpweGc1G/RVBgtdVz2QPXvCP/5hdjV152sXtw1+5EIvtDVNHeaeLN1u3gh0K1sC2x7iIyKP7C/uDy5dp35ktN8eXxxH0+Dxx6FePRk2tLjQmojm0ayZ+uHMyoIS2X2pOoFsZUtg20fn5Mb4+6W9U4NGNd9I+M7tVi3tAQPgtNPMrsYnMns8mO3bB+3bwyuvmF2JZQVyxrgEtr10b5iKw8sWWdmO3ZRs2nbC5co/VOV9wh1OmYQWKG++CWedFRwNGM/mKr5cFhd63eMeDRrA5ZfDww+rTQSSksyuyHIC1cqWwLafCzPa859l3i2drGor06SR/yD2jFNP+LxT07igVTsinE6fahReyM+H++9X5zNERppdjc9C4ZSv0A1tgMceg08/VT+0L75odjWWEqixbAls+9m2bRtPPf44JQkOIlq3QKtiE47Y03sSe3rPWj++S9cZ0aGbj1UKrzzyCBw4oJbCClsI3e5xgNRUeOghePllWLbM7GosJRCtbAlse9m2bRs33XQTbdq04fPPP+fqxq1wGLxrllPTGJDeipMbpRn6uKISq1fDc8/BvfdC8+ZmV2MM2VwlBNxyC2zZAvXrm12JZQSilS2BbR/btm3j8ccfZ/r06SQkJPDYY48xduxYYmNjSfp9Lq+tXILbgFc7DYgOC2fKGef6bYtUcYwNG6BbN/jXv8yuxDDSPR4KwsOPHiai67LcAf+3siWw7aG6sPb4vx59+WvvTv7YvcPrHdIqo6E2XHlxwFBS6sXWeHthgGHDYOhQec2zmdDuHj/W77+r5Q4HDphdian8PWNcAtv6ju8Gf+yxx9iyZQt33XVXhcAGiAoLY/q5/+DUxk3r/HxOTSPM4eDVgRfRL72lr+WLmhw6pLYrPXAg+AI7BGaPS2h7NG2qxngeeMDsSkzlz1a2BLa11SasjxUTHsG7Qy7jrp5n4NQ0nF4GgXb46pDUiG8uHsXA5q2N+UZE9R59FP7zH8jNNbsSw8k67VDSpAlMmgQvvaROuglB/mxlS2BbV13D+lhhDge3dDuN7y65lktadyL88AS1MK3iS4xT046s786on8TjfQcxc9g1siY7UNauhWefVS3tFi3MrkbUgYxpH+v229VGA6NHw8KFarw7hPirlS2BbU3ejFnXVtvEZJ4+awj/PrUf83ZsZWXOLtbs20tuaTHhDifpcQl0SU6hV0pTujZsLBPOAsnlUq9tzZrB3XebXY1/yN7jISY8HKZPh2uuge3boWXojK/5a8a4BLb1+COsj1c/KpphGR0YltHBsMcUPvrlF9UYmTMHoqLMrsYvZPZ4KOrVS41th9huTP5oZUtgW0sgwlpYWP/+aplXq1ZmVyJ8IGPalXE6YdMmuPlmKCszuxq/88dYtgS2dRgxZi1szOWCDz9UB4MEe2C7dd8vi5PQrsr+/eowkRDY3s/oVrYEtjVIWAsA/vc/uPLK0Nj1MQR2RJPQrkqvXmqyxkMPwapVZlfjN0a3siWwzSdhLY7YsEFtU3rbbdCjh9nV+J2Gj0u+zP4GvCChXZ1Jk6BNG7j22qDtJjeylS2BbS4Ja1GBywXXXQdpafD442ZXIwwiE9GqExmploANHKha2927m12RoYycMS6BbR6ZYCYq9dlnsGABzJsHMTFmVxMYvu5qZoMd0SS0a9KrF2zdComJZldiOKNa2RLY5pCwFtW69FK1vOuMM8yuJGBCYcmXdI97IzERCgrUaTh795pdjSGMGsuWwA486QYX1Tp4EH7+GRwOOOsss6sRBpOWtrdyc+Gtt9Qa7q++Ur8QNmZEK1sCO7CkZS1qpOtq17Off1Y9hPHxZlcUWCGwI5q9kyeQ0tLg7bfh22/V3r02ZkQrWwI7cKRlLbw2daoay37ttdALbEDTdZ8vq5PQro0hQ+Cuu9Rm+7//bnY1deZrK1sCOzAkrEWtLF8O48fDuHFwySVmVyP8xG+hvXXrVm644QZatmxJdHQ0GRkZTJo0idLSUn89ZWA89hj07Ak//WR2JXXiaytbAtv/JKxFndx3H3ToAE8/bXYl5nEbcFmc38a0165di9vtZtq0abRu3ZpVq1Zx4403UlBQwNN2/qEKD7f1hvu+tLIlsP1LxqyFTz74AA4csO1rkxF87eK2Q/e430J78ODBDB48+MjHrVq1Yt26dUydOtXeoQ1HfymmTVO/JBMmmFuPl3xZly2B7T8S1sIn774Lp5+uTiUMwXHsUBPQMe3c3FySkpKq/HpJSQl5eXkVLkvbtUuNb8+caXYlXqlrK1sC2z+kG1z47PvvYdQotbJFyN7jRtq0aRP/+9//GDNmTJW3mTx5MgkJCUeu9PT0QJVXN/ffD//4hzp/2+L7k9d1LFsC23gS1sIQ69fDFVfA4MHqtUgc3RHNl8viah3aDz74IJqmVXstWbKkwn2ys7MZPHgww4cPZ/Toqlt5EydOJDc398iVlZVV++8okBwO9Q43IwOGDoV9+8yuqEp1aWVLYBursrDeunWrhLWovdxc9ZqTkgLvv6+OExa+HRbi425qgVLrMe1bbrmFK664otrbtGjR4sjfs7Oz6d+/P7179+aVV16p9n6RkZFERkbWtiRzxcSo7vE77lAb9FtQXcayJbCNU9mY9c0330xMqOwHLYz3119w6JDaREV+N0NKrUM7OTmZ5ORkr267Y8cO+vfvT48ePZg+fToOm+8iVqXmzWHGDPX3vDzLTQapbStbAtsYEtbCb848EzZuDOmZ4pUKgQND/Jai2dnZ9OvXj/T0dJ5++mn27t3Lrl272LVrl7+e0nw5OdCxI7z8stmVHFHbsWwJbN9V1w0ugS188s47auJZebkEdiU0t++X1fltydcPP/zAxo0b2bhxI02bNq3wNd0G72bqJDlZ7UQ0bpza9nToULMrqlUrWwLbN9KyFn71ww9w/fUwcqSMYYcwv7W0r732WnRdr/QKas89p4L78svh119NLaU2rWwJ7LqTlrXwuz/+UK8r556r9ofQNLMrsqYQmD0up3wZzelUXVhDhsDw4bB5M0RHm1KKt61sCey6kZa1CIisLDjvPOjSBT7+GMLkZbtKcsqXqJOoKPjiC/j8c9MC29tWtgR27UnLWgRUWhrcfrs6ErhePbOrEXVg5Fkc8pbNXxISoHdvNWHk0Ufh1luhQYOAPb03rWwJ7NqRlrUIqNxcWLkS+vaFf//b7Gpswap7jxt5FoeEtr/t3AkvvQTffadOBgvAC7w367IlsL0nYS0CrrgYhg2DtWvVEJu0sL1j0SVfRp7FId3j/paeDt98o7Y5vfRSKCnx+1PW1MqWwPaOdIMLU5SVwVVXwe+/w2efSWAHqZrO4qiKhHYg9OypxrjnzFGT0/x4pnhNY9kS2DWTsBamKS9XZxl89RV88ok6vUt4T8e3s7QPN7SPP7iqxODGljdncVRFQjtQBg5UwZ2W5tc1ltW1siWwqydhLUy3ezcsWQIffQQXXGB2NbbjGdP25QJIT0+vcHjV5MmTK30+f57FURUZ0w6kwYPVBbBsGXTuDOHhhj18dWPZEthVkzFrYTqXCwoLoUkTWL0a7HYGg1Xo+Dimrf7Iysoi/pjtqKs6E8OfZ3FURULbDAcOQL9+qvX9wQcQEWHIw1bVypbArpyEtbCE8nK1NenWrTB/vgS2BcTHx1cI7aqYcRaHhLYZEhPhvffUWdyXXaa6wqr4RdV1nWU/r2LJd8tY98cmtq3OorS4jLBwJ2mtU2l/Smu6DehM8x5NKm1l2yWwS4rLmD9nDauWZ7J21Q5278zF7XYTFRVOy9YptOuURu8z29G+UxOfn0vCWlhGWZkaw/7sM/UGPlgPVQoUi84e95zF0axZsyNncXg0bty4Vo+l6RbeVzQvL4+EhARyc3O9etdjO998o7YmHDgQPv20wgEAbreb796Yw0dPzCB7026cYU5c5Sce/ekMd+Iqc+GMdrDZtY57f3qX+GS1HtwOgV1wqIQPps/nq8+XUFhQijPMgau84q79mgYOhwOXy02rNilcM/pM+vbvUOvnOj6s7777bglrYZ6yMrjySnW070cfqdeCIBSI13HPcwzocg9hzrr3VJS7Svh55ROG1/rmm29y3XXXVfq12kawhLbZfvgBxo5VM8ubNQNg55bdPHXdi6z8ZU2tH65+qxQGPjmCfA5aPrD/XLyZpx6cyYH9h3C7vfsx1DQNXdfpO6ADt91zHvUTaw5cCWthSV9/rYL6k08scbiQv0hoG0u6x802aBCsWaPGtQ8eZMPiDdx9xYsUHSqq08PlbtvLZ5c/y9qIP2nfybqB/fWMpTw/+Ws0h4buZWDD0XelC+atZf3qHTw1dRSpTRIrva10gwtLKixUa6/PPx/Wr4fmzc2uKGhYdUc0I8kAihUcnoiWedVN3DXkcQrzCk/oIvaW7nLjdrloW9SVZ/79vCUD+8dvVvD85K8BahXYx3K7dHL25vOvMW+xP+dQha/J0i1hWVu3Qvfu4Jk5LIFtrBA45UtC2yLKy8p5bFsKRbrT667iqmhoOBwOnh/9Cnn78w2q0BjZ2/fz3ONfGvJYbpfOvpx8nnv8S3Rdl7AW1rZiBfTpo2aLDxhgdjXCpiS0LeLjp2axZe1O3FR/Tm6mvoEf9U9ZqP9Q7e10t07+gQKm3vGmgVX6Rtd1nn5oJm5XzW9KsnOWMfuPSeQW7Kj2dm6Xzu+/buCay+6UsBbWNW8enHkmpKTAb79B69ZmVxScpKUtAqG4sISPnvzCq5+XbLYCUEAeufq+am/rdrn58b1f2LlltwFV+m7lskxW/ZWFy1W3rv+q6LpO1kYHjz76qIS1sB5dh8cegx49VHjXcomPqAUJbREIcz9aQGFezRPP8vT9HCKXZNQvvSfAq+NwOPh62mxfSzTErE/+wOk0/kdO0zSiwuszaMBwCWthHboO2dlqzeInn6glnhadkSzsQ0LbAuZ/uhDNUX23OMCOwyHdmi4k0IBdZOHSy6u9j9vlZs6HvxlRpk9c5W4W/LLO8Fa2h9Pp4Nc5a/3y2ELUWnExjBwJvXrBoUOQkCA7nQWCL4eFeC6Lk9C2gLWLN9Y4i9qlu9hNFvEkEqslkEYLXJSzm+01Pv6ezBwOHSwwqtw62bZlL+VlJ24OYxSXy83aVTX/Wwjhd9nZcNZZasOkp5+G2FizKwoZRh0YYmUS2iY7uDeXvH01z/Dew3bKKSONlgCkkI6TMK+6yAG2rMz0pUyfbd7o/3H1LRv3+P05hKjW4sXqKN4dO9Q+4ldeaXZFoUXGtIW/eTOWDbCDLThw0ph0AMK0MBrRlIPkUKjXHPqFeYU+1emrwoIStJpHAHxSVuaq8/p2IQzhckG7dup4zZ49za5GBCEJbZM5vJiYVagf4iA5JNMYHZ0yvZQyvZQU1OEZXk1IC/PfGd7ecDgcAXkT63D6+Z2BEMcrL4eXX1Z7iffuDT//LDPEzeLWfb8sTrYxNVlS4/o4HFq1G6pkswWAPexgDyeuW85mGxl6Z7RqmrLJTZJ8L9YHDRvF+f056ifGVPtvIIThtm9XXeALF0LbtmrTFPkZNI9FT/kykoS2ySKiImjaLo3MNZVvIqLrOjvZRjQxdKDHCV/PYSeZbCCHnTQkrdLHCI8Kp1l734+09EWb9pXXZhRN0ww5tlMIr335JVx7rdpHfO5c6NvX7IpECJDucQvoelYnnGGV/6/IYSclFNOEViRpjU64WtAeB44qu8gdDo32vVrjNLl7PCk5loYptV+jqtWwQ9yR22nQqWt6rR9fiDr5/Xd1Mtfpp8Py5RLYluHrJDTrt7QltC1g8A0DqpxAlc1WNByk0aLSr0dokTSkiQp3vfiEr7vdOhfcdI6R5dbZBZf08Lr72uUuA8Chef9mY+D5J9WpLiG8tu/wLoSnnKKO1pw5Exo0MLcmcZTMHheB0LZHBm17ZlQ6Ka2r1oeztUuI0KremKGLdipna/8gUouq8HlN04hLiqXvP04zvOa6GDy0O04vJ4oVFOUAGlGR9Wu8rdPpoG//DjRI9v+4uQhhH38MrVrBF1+orp3zzpPxaxFwEtoWcduLo4+cFW0UXde5dcrlRESGG/q4dZXYIJaRN/Wr9jZ5Bdlk7fmD7JxlNKzfzqsD7cPCndx420CDqhTiOAcPwnXXweWXw+DB0L+/2RWJqoTA7HEJbYto16s1V9xzkWFv3B0OjdPD9tDvgRvUNooWMfzqPrRpn1rlHuR/bfyIjdt/omH9dnRsOcyrxxxz5yBSUusbWKUQh61eDZ07w+efw+uvw4cfqi1JhTXpbt8vi5PZ4xYy6uHL2b4+m18/X+xTq9vhdJDRtQV3f/AE2u+/qW0UXS7IzYUkc5d+OcMcPPzsFdx+/Rvs25t/wl7kZ3S9s1aPd8mVp3LeRScbWaIQau11WBhkZKgJZxMnQrpMdBTmk5a2hTidTu774E7OvU51v3lziEhluvbrxFM/T6Jem5ZwzTXqk88/Dx06wIwZRpVbZw2S43j+9etp3rIhXk4Or8Bx+N/l6hvO4KY7BsnabGGsb75Ra65XrVKHfLz0kgS2XchENBFozjAn//faWB78/C7iEmNB826ui+bQiIiO4LYXRzPl+38TE1+v4g2uukrt1nTJJerv+6o/i9vfGjSM44W3RzPyxrNwOLQjQVwdz5uYhinxPDNtFKNu6i+BLYzjGbs+/3wV2vXrm12RqK0QGNPWdKNnPxkoLy+PhIQEcnNziQ/Bc2gL84v46b35fPG/b45svuJwOlR46fqRZWLJTZIYNm4w514/gMRG1Yy36Tq8/z7ceqvq+vvjD2jePBDfSrV27zzINzP+5KvPl5J/eC92p9MBGuhu/chuce06pnHRFadyxoAORETIyI4w0G+/wfDhUFAAzz4L118vM8MNEojXcc9zDEy7iTBH3Y9ALXeX8GP2NEtnjoS2TeRk72fD0s1sW72dsuIywiLCSGvdmLY9WtG4ZaPatTh37oTp09U4nabBli3QsqX/iveS262zPXMf69dks2dnLi6Xm6jocFpmNKJNhzQS6ter+UGEqI3CQrWj2Y4dcPfdMGWKdIUbTELbWBLaoW7ePLVf8tix8MgjkJhodkVC+F9eHjz4IHzyiRq7lhnhfhPQ0E69iTBHRJ0fp9xdyo87rR3aMqYd6vr0gaeegrffVkcKTp8ObusvexCiTnQd3n1X/axPmwbjxkFUVM33E/YgE9FE0AsPh/HjYd06GDRIjeVNnWp2VUL4x5gxMGIEnHEGrF0LEyaoGeJC2ITM5hFKaqpqgdx0E5x8eN3zxx9D9+7Qpo25tQnhiy1boKgIOnZUs8OHD4eBsoNeUHK7AR96Cm3QyygtbVHRGWdATIzaXOKBB9QL3dixkJ1tdmVC1M6ePXDbbaor/IEH1OdOO00CO5hJ97gIWWFh6sjBKVNUi7t1azXb3OUyuzIhqnfoEEyapA73ePtteOgheOsts6sSwhAS2qJqUVHwf/8Hmzerce9Nm8DpVO9Gi088BlQIU3laSaWl8MorcPPN6md34kTVeySCn7S0hUAth3n0UfjoI/XxzJnQogU88YRaOiOEmQ4dUhuidOmidvpLSlLj2E8+afpe+yLAQmBHNAlt4T3PBi4nnaQOUXjgAWjWDO67T40fChFI+/aptdbNm8M990CvXkd7gGQZlwhSEtqi9lq1Ut2PmzfD6NHqMJIPPlBfs0H3kggS11+vWtPXXKOGbqZPhyZNzK5KmEjX3T5fVidLvkTdNWkCTz8N9957tGVzxx3q4IW774ZOncysTgSbdevURkCXXgqDB8Mzz6ihm4YNza5MWIXuYxe3DRodfm1pDx06lGbNmhEVFUVqaiojRowgW5YOBZ+kJLV/M0D79vDTT9C5s9oe9ZNPoKzM3PqEfZWXwxdfqI1/2reHr79W58KDWtEggS2OJRPRfNO/f38+/vhj1q1bx2effcamTZu49NJL/fmUwmxjx6pu8w8+UGF92WXqY1CzeoXwhufF8/XX4eKLIT9fLd/asgUuv9zc2oQwUUAPDJk1axYXXXQRJSUlhIeH13h7OTAkCGzerMbA3W61UUvnzmopTv/+cvShqEjX4ddf4aWXoHFjeO451aretOnoLn3CdgJ5YMjZcVcTpvlwYIheyk/571k6cwI2EW3//v2899579OnTx6vAFkGiVSv1Z3m5Osd7zRo4+2zo0AEmT4aSEnPrE+bLyVFj1V26wJlnwp9/qp8PUGPWEtjCW9I97rt77rmHmJgYGjRoQGZmJjNnzqzytiUlJeTl5VW4RJCIiFAnKq1aBXPnqhfi999Xnwf4/HM4cMDUEkUA5eaqHfdAhbZny9zZs9VBHv/8p6nlCWFVtQ7tBx98EE3Tqr2WLFly5PZ33XUXy5Yt44cffsDpdDJy5Eiq6pGfPHkyCQkJR650OYw++GganHWWCuy//lIf79qlxr4bN1bjl599JjuuBaPSUrUxz/DhkJICV16pPt++Pezdq7bLHThQhk1Enelut8+X1dV6TDsnJ4ecnJxqb9OiRQuiKtncYPv27aSnp7NgwQJ69+59wtdLSkooOaa7NC8vj/T0dEuPLwiD7Nqldlx7911YskRt2rJlCzgcqgtdjk+0J11XIbx5M/TsqXpTunVTa6uvuELWVYeAQI5pD4i+3Ocx7Z+LPrJ05tR6nXZycjLJycl1ejLP+4OSKsYxIyMjiZQX59DUuDHcfru61q2D1atVYOflQdOm0LcvXHihupo2NbtaUZ3sbPjqK5g1S81l+O47tWvZbbepNdadO5tdoRC25bcx7cWLF/PCCy+wfPlytm3bxpw5c7jqqqvIyMiotJUtxBHt2qluco9HHlGt7VtvhfR0OPXUo6eN2WDiSMhYvx5OOUW1nseOVXuCDxmivuZ0qi1HJbCFP4XA3uN+2xEtOjqazz//nEmTJlFQUEBqaiqDBw/mww8/lNa08F58/NEW+IEDqtXmOW2svFyNh3brBv36qatjR9VCF/6j62oVwNy5MGcO1K8Pr76qwrpVK9WiHjIEGjQwu1IRanQd8GFc2gaNAL+FdpcuXfj555/99fAiFCUmHp28BGqy2lVXqfAYP15t5pKcrEI9Pl6Nk6ekyMQmX+k6FBWpXe9++UVNJNuzR525fsop6qAOUMdffvihubUKEeRk73FhX7Gx8PDD6u+FhbBwoVpG5JlA0qeP2kmrZ0/o0UNdZ5999Ouicnv2qH/LpUvVtWQJXHQRTJsGGRlwww1qc5w+feScamEpultH1+reWg7gXmN1FtAd0WpLdkQTdabrag/0+fOPBs/u3bBihdrE49VXYds2FeTdu6vZ6qHWre52Q1aWeqOzdClccIFqOT/3nOq5aNjw6JudwYPVZEAhaimQs8f7Oy8hTKv75l3lehlzXJ9bOnOkpS2Ck6apNb8DB6qPdV3Nam7cWH28aRO8+SY89pj6ODISXnhBHTW6di0sWgRt26qrQQN7d7Hv368mia1fr9bDR0XBmDFqL++iInWbhg3V93rKKTBihJrl3bSpvb9vEXJCoaUtoS1Cg6ZVXBM8ZYraRjU7W7W+169X3egA8+apUPNITFRj5y+8oELu6achNRXS0tSfqanmjJ273Wo3sexs2LlTXZoG112n3qT07auWz+3bd/Q+PXuqyXr9+6tJfG3awEknVQzoOi7pFEL4n6VD2/OuR7YzFX4TFwenn64uUOvCr7wShg1TG4Js3KiuRo3U13bsgP/+V4XlsXbtguhouPFGFZQxMWrMPS5Otd779FHd0HPnqglcDoe60tPVY7rdRy+XC0aOVG8W3npLvYnIz1dLqAoK1MYk//wnfP+9ajkfq1s3+Mc/1N+7dlXh3KaNOsayVStVV17e0aVYHvn5fvjHFeLo63cgWrHlegnodZ89Xo71jxG29Ji2Zwc1IYQQ9paVlUVTP22MVFxcTMuWLdm1a5fPj9W4cWO2bNlS6a6eVmDp0Ha73WRnZxMXF4fmRdejZ9vTrKwsy04iMEIofJ+h8D2CfJ/BJBS+R6j996nrOvn5+aSlpeHw42TP4uJiSktLfX6ciIgIywY2WLx73OFw1OmdWXx8fFD/0niEwvcZCt8jyPcZTELhe4TafZ8JCQl+rgaioqIsHbZGCbE1LkIIIYR9SWgLIYQQNhFUoR0ZGcmkSZOCfm/zUPg+Q+F7BPk+g0kofI8QOt+nVVl6IpoQQgghjgqqlrYQQggRzCS0hRBCCJuQ0BZCCCFsQkJbCCGEsImgDe2hQ4fSrFkzoqKiSE1NZcSIEWRnZ5tdlqG2bt3KDTfcQMuWLYmOjiYjI4NJkyYZsiuQ1Tz22GP06dOHevXqUb9+fbPLMcRLL71Ey5YtiYqKokePHsyfP9/skgz3yy+/cOGFF5KWloamaXzxxRdml2S4yZMn06tXL+Li4mjUqBEXXXQR69atM7ssw02dOpWTTjrpyKYqvXv35ttvvzW7rJATtKHdv39/Pv74Y9atW8dnn33Gpk2buPTSS80uy1Br167F7XYzbdo0/v77b5577jlefvll7r33XrNLM1xpaSnDhw9n7NixZpdiiI8++og77riD++67j2XLlnHGGWcwZMgQMjMzzS7NUAUFBXTt2pUXXnjB7FL8Zt68eYwbN45FixYxe/ZsysvLGTRoEAUFBWaXZqimTZsyZcoUlixZwpIlSxgwYADDhg3j77//Nru00KKHiJkzZ+qapumlpaVml+JXTz75pN6yZUuzy/Cb6dOn6wkJCWaX4bNTTjlFHzNmTIXPtW/fXp8wYYJJFfkfoM+YMcPsMvxuz549OqDPmzfP7FL8LjExUX/ttdfMLiOkBG1L+1j79+/nvffeo0+fPoSHh5tdjl/l5uaSlJRkdhmiGqWlpSxdupRBgwZV+PygQYNYsGCBSVUJo+Tm5gIE9e+hy+Xiww8/pKCggN69e5tdTkgJ6tC+5557iImJoUGDBmRmZjJz5kyzS/KrTZs28b///Y8xY8aYXYqoRk5ODi6Xi5SUlAqfT0lJMeRoQWEeXdcZP348ffv2pXPnzmaXY7iVK1cSGxtLZGQkY8aMYcaMGXTs2NHsskKKrUL7wQcfRNO0aq8lS5Ycuf1dd93FsmXL+OGHH3A6nYwcOTIgB7H7qrbfJ0B2djaDBw9m+PDhjB492qTKa6cu32cwOf64WV3XvTqCVljXLbfcwooVK/jggw/MLsUv2rVrx/Lly1m0aBFjx45l1KhRrF692uyyQoqlj+Y83i233MIVV1xR7W1atGhx5O/JyckkJyfTtm1bOnToQHp6OosWLbJ8d05tv8/s7Gz69+9P7969eeWVV/xcnXFq+30Gi+TkZJxO5wmt6j179pzQ+hb2ceuttzJr1ix++eWXOh0pbAcRERG0bt0agJ49e/LHH3/w/PPPM23aNJMrCx22Cm1PCNeFp4VdUlJiZEl+UZvvc8eOHfTv358ePXowffp0vx4ybzRf/n/aWUREBD169GD27NlcfPHFRz4/e/Zshg0bZmJloi50XefWW29lxowZzJ07l5YtW5pdUsDoum6L19RgYqvQ9tbixYtZvHgxffv2JTExkc2bN/PAAw+QkZFh+VZ2bWRnZ9OvXz+aNWvG008/zd69e498rXHjxiZWZrzMzEz2799PZmYmLpeL5cuXA9C6dWtiY2PNLa4Oxo8fz4gRI+jZs+eRHpLMzMygm49w6NAhNm7ceOTjLVu2sHz5cpKSkmjWrJmJlRln3LhxvP/++8ycOZO4uLgjPSgJCQlER0ebXJ1x7r33XoYMGUJ6ejr5+fl8+OGHzJ07l++++87s0kKLmVPX/WXFihV6//799aSkJD0yMlJv0aKFPmbMGH379u1ml2ao6dOn60ClV7AZNWpUpd/nnDlzzC6tzl588UW9efPmekREhH7yyScH5RKhOXPmVPr/bdSoUWaXZpiqfgenT59udmmGuv7664/8vDZs2FA/++yz9R9++MHsskKOHM0phBBC2IR9BkCFEEKIECehLYQQQtiEhLYQQghhExLaQgghhE1IaAshhBA2IaEthBBC2ISEthBCCGETEtpCCCGETUhoCyGEEDYhoS2EEELYhIS2EEIIYRMS2kIIIYRN/D9lrkFJqxOYlgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] @@ -153,21 +153,20 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "K: 0.29\n", - "D: 0.75\n", - "C: 2.99\n", - "('D', 'K'): 0.75\n", - "('C', 'D'): 2.99\n", - "('C', 'K'): 2.99\n", - "[('B', 'A', 'G', 'H', 'D'), ('K', 'D', 'C')]\n", - "('K', 'D', 'C'): 2.99\n" + "K: 0.18\n", + "D: 0.65\n", + "C: 2.89\n", + "('D', 'K'): 0.65\n", + "('C', 'D'): 2.89\n", + "('C', 'K'): 2.89\n", + "('K', 'D', 'C'): 2.89\n" ] } ], @@ -195,24 +194,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 13, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", - " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,\n", - " 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", - " 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1,\n", - " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1])" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "myect = ECT(num_dirs = 100,num_thresh = 80)" ] @@ -226,20 +210,20 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", - " 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,\n", - " 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,\n", + " 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1])" ] }, - "execution_count": 47, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -258,12 +242,12 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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dlTYAANB8NYtwZFmWEhMTdc0116hv37419gsPD9fixYuVlpamNWvWKDo6WiNGjNC2bdtqPCc5OVkOh8O1RUZGemIIAACgifDZx2qm6dOna+/evdqxY0et/aKjoxUdHe3aj4uL0+HDhzV//vwaH8UlJSUpMTHRte90OglIAAA0Yz4/czRjxgx99NFH2rp1qzp37lzv8wcPHqyDBw/WeNxutys4OLjSBgAAmi+fnTmyLEszZszQ2rVrlZGRoaioqAZdJycnR+Hh4W6uDgAA+CqfDUfTpk3TihUrtH79egUFBamwsFCS5HA4FBgYKOm3R2JHjhzRe++9J0lasGCBunXrpj59+qi0tFTLly9XWlqa0tLSvDYOAADQtPhsOFq0aJEkadiwYZXaly1bpnvvvVeSVFBQoPz8fNex0tJSzZo1S0eOHFFgYKD69OmjjRs3auzYsY1VNgAAaOJ8NhxZlnXePqmpqZX2Z8+erdmzZ3uoIgAA0Bz4/IJsAAAAdyIcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGnw1HycnJuuqqqxQUFKROnTrplltu0YEDB857XmZmpmJiYhQQEKDLLrtMKSkpjVAtAADwFT4bjjIzMzVt2jTt2rVL6enpKi8vV3x8vE6fPl3jOXl5eRo7dqyGDh2qnJwczZkzRw8//LDS0tIasXIAANCUtfR2AQ21efPmSvvLli1Tp06dtGfPHl177bXVnpOSkqIuXbpowYIFkqRevXopOztb8+fP18SJEz1dMpoZy7J0pqzC7df9tdT91/SFe/uC870+nnr9Alv5yWazeeTaAKry2XD0e8XFxZKkkJCQGvtkZWUpPj6+UtuoUaO0dOlSlZWVqVWrVlXOKSkpUUlJiWvf6XS6qWL4MsuydFtKlvYcOuHtUtwq9tn/9nYJPs1Tr19s13ZanRBHQAIaic8+VjNZlqXExERdc8016tu3b439CgsLFRoaWqktNDRU5eXlKioqqvac5ORkORwO1xYZGenW2uGbzpRVeDwYxXZtp8BWfh69h/TbrERs13Yev09zYr43jfH6ZR864ZFZSgDVaxYzR9OnT9fevXu1Y8eO8/b9/f+8LMuqtv2cpKQkJSYmuvadTicBCZVk/+UGtfZ3f4hprEcpNptNqxPi+OZbD+Z748nX79fSCmbzAC/w+XA0Y8YMffTRR9q2bZs6d+5ca9+wsDAVFhZWajt+/Lhatmyp9u3bV3uO3W6X3W53W71oflr7+6m1v29/KdlsNp8fgzfx+gHNi88+VrMsS9OnT9eaNWv02WefKSoq6rznxMXFKT09vVLbli1bFBsbW+16IwAAcPHx2XA0bdo0LV++XCtWrFBQUJAKCwtVWFioM2fOuPokJSXpnnvuce0nJCTo0KFDSkxM1P79+/XOO+9o6dKlmjVrljeGAAAAmiCfDUeLFi1ScXGxhg0bpvDwcNe2atUqV5+CggLl5+e79qOiorRp0yZlZGRowIAB+tvf/qbXX3+dH+MHAAAuPvuQ/NxC6tqkpqZWabvuuuv05ZdfeqAiAADQHPjszBEAAIAnEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAINPh6Nt27Zp3LhxioiIkM1m07p162rtn5GRIZvNVmX79ttvG6dgAADQ5LX0dgEX4vTp07ryyit13333aeLEiXU+78CBAwoODnbtd+zY0RPlAQAAH+TT4WjMmDEaM2ZMvc/r1KmTLrnkEvcXBAAAfJ5PP1ZrqIEDByo8PFwjRozQ1q1ba+1bUlIip9NZaQMAAM3XRRWOwsPDtXjxYqWlpWnNmjWKjo7WiBEjtG3bthrPSU5OlsPhcG2RkZGNWDEAAGhsPv1Yrb6io6MVHR3t2o+Li9Phw4c1f/58XXvttdWek5SUpMTERNe+0+kkIAEA0IxdVDNH1Rk8eLAOHjxY43G73a7g4OBKGwAAaL4u+nCUk5Oj8PBwb5cBAACaCJ9+rHbq1Cl99913rv28vDzl5uYqJCREXbp0UVJSko4cOaL33ntPkrRgwQJ169ZNffr0UWlpqZYvX660tDSlpaV5awgAAKCJ8elwlJ2dreHDh7v2z60Nmjx5slJTU1VQUKD8/HzX8dLSUs2aNUtHjhxRYGCg+vTpo40bN2rs2LGNXjsAAGiafDocDRs2TJZl1Xg8NTW10v7s2bM1e/ZsD1cFAAB82UW/5ggAAMBEOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADC0v5OSysjIVFhbq119/VceOHRUSEuKuugAAALyi3jNHp06d0ltvvaVhw4bJ4XCoW7du6t27tzp27KiuXbtqypQp2r17tydqBQAA8Lh6haNXX31V3bp109tvv63rr79ea9asUW5urg4cOKCsrCw99dRTKi8v18iRIzV69GgdPHjQU3UDAAB4RL0eq+3cuVNbt25Vv379qj1+9dVX6/7771dKSoqWLl2qzMxM9ejRwy2FAgAANIZ6haPVq1fXqZ/dbtdDDz3UoIIAAAC86YIWZJvKy8u1fft2BQQEqHfv3nI4HO66NAAAQKNxWzi67bbb1L59e61bt07BwcE6e/as+vXrp48//thdtwAAAPA4t4WjvLw8rVu3Tnv27FFubq5ee+01nThxwl2XBwAAaBRu+xDIwMBASZK/v79KS0v1yCOPKDMz012XBwAAaBRumzmaPn26fv75Z916662aNm2ahgwZou+//95dlwcAAGgU9Z45WrhwYbXtf/rTnxQSEqInnnhC/+///T/t27dP69evv+ACAQAAGlO9Z44ee+wxDRw4UHFxcTX2GT16tO69994LqQsAAMAr6j1z9Nxzz2nixIk6duxYtcdzcnJ09dVXX3BhdbFt2zaNGzdOERERstlsWrdu3XnPyczMVExMjAICAnTZZZcpJSXF84UCAACfUe9wNHPmTA0fPlwTJ05UeXl5pWPr16/X0KFDNWTIELcVWJvTp0/ryiuv1BtvvFGn/nl5eRo7dqyGDh2qnJwczZkzRw8//LDS0tI8XCkAAPAVDVqQvWTJEg0ZMkQzZszQokWLJEkvvfSS5syZo7/+9a+aO3euW4usyZgxYzRmzJg6909JSVGXLl20YMECSVKvXr2UnZ2t+fPna+LEiR6q8uJkWZbOlFV4uwyP+bW0+Y4NTRN/5yBJga38ZLPZvF1Gs9egcBQYGKg1a9boqquuUv/+/bVnzx598MEH+uCDD5p0yMjKylJ8fHyltlGjRmnp0qUqKytTq1atqpxTUlKikpIS177T6fR4nb7OsizdlpKlPYf4nCvAXWKf/W9vl4AmILZrO61OiCMgeVi9w9GDDz6omJgYDRw4UEuWLNFtt92mSy+9VDt27NCAAQM8UKL7FBYWKjQ0tFJbaGioysvLVVRUpPDw8CrnJCcn6+mnn26sEpuFM2UVF00wiu3aToGt/LxdBpqpwFZ+iu3aTtkXydcTzi/70AmdKatQa3+3fRIPqlHvV/ef//ynVq9erZMnT6ply5ay2Wzq27evtm/frtOnT2vAgAFq06aNJ2p1i9+nbcuyqm0/JykpSYmJia59p9OpyMhIzxXYzGT/5Qa19m++4YEpbniSzWbT6oS4Zv2IGnXza2kFs4eNqN7haNu2bZKkgwcPas+ePfryyy+1Z88ePfXUU/rll1/UokUL9ezZU/v27XN7sRcqLCxMhYWFldqOHz+uli1bqn379tWeY7fbZbfbG6O8Zqm1vx//wwEugM1m42sIaGQN/orr0aOHevTooTvvvNPVlpeXp+zsbOXk5LilOHeLi4vThg0bKrVt2bJFsbGx1a43AgAAFx+3/nckKipKUVFRuv3229152RqdOnVK3333nWs/Ly9Pubm5CgkJUZcuXZSUlKQjR47ovffekyQlJCTojTfeUGJioqZMmaKsrCwtXbpUK1eubJR6AQBA01evzznKz8+v18WPHDlSr/71lZ2drYEDB2rgwIGSpMTERA0cOND1UQIFBQWVao6KitKmTZuUkZGhAQMG6G9/+5tef/31Jv0TdgAAoHHVa+boqquu0s0336wpU6bU+CnYxcXF+vDDD/Xaa6/pz3/+s2bMmOGWQqszbNgw14Lq6qSmplZpu+666/Tll196rCYAAODb6hWO9u/fr+eff16jR49Wq1atFBsbq4iICAUEBOjEiRPat2+fvvnmG8XGxuqll16q1wc0AgAANAX1eqwWEhKi+fPn6+jRo0pJSVHPnj1VVFSkgwcPSpLuvvtu7dmzR//zP/9DMAIAAD6pQQuyAwICFBgYqFdffdXd9QAAAHhVvX/x7Dm33HKLHnnkkUq/WgMAAMDXNTgc7dixQ59++qliYmK0d+/eavscPXpU48ePb3BxAAAAja3B4Sg2NlY5OTkaMmSIBg0apFdeecV17OzZs9q3b5/mzp2rrKwstxQKAADQGC7oQyADAwP13HPPyd/fX4899phWrlzpCkYlJSXq2rWrkpOT3VUrAACAxzV45uitt95SRESEwsLClJqaqquuukotW7ZUTk6OHnzwQZ04cUJ5eXl64IEH3FkvAACARzU4HP3lL3/R+PHjtW/fPp08eVK7du1SVlaWXn75ZS1ZskSPPvqofv31V3fWCgAA4HENDkfDhg3TvHnzFB0dLZvN5mp/9NFH9cUXXyg7O1v9+/fX559/7pZCAQAAGkODw9Hq1asVGhpa7bF+/fpp9+7duummm3Tttdc2uDgAAIDGdkELsmtjt9u1YMEC3XjjjZ66BQAAgNs1eOaorkaOHOnpWwAAALiNx8MRAACALyEcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYfD4cLVy4UFFRUQoICFBMTIy2b99eY9+MjAzZbLYq27ffftuIFQMAgKbMp8PRqlWrNHPmTD355JPKycnR0KFDNWbMGOXn59d63oEDB1RQUODaevTo0UgVAwCAps6nw9Err7yiBx54QA8++KB69eqlBQsWKDIyUosWLar1vE6dOiksLMy1+fn5NVLFAACgqfPZcFRaWqo9e/YoPj6+Unt8fLx27txZ67kDBw5UeHi4RowYoa1bt9bat6SkRE6ns9IGAACaL58NR0VFRaqoqFBoaGil9tDQUBUWFlZ7Tnh4uBYvXqy0tDStWbNG0dHRGjFihLZt21bjfZKTk+VwOFxbZGSkW8cBAACalpbeLuBC2Wy2SvuWZVVpOyc6OlrR0dGu/bi4OB0+fFjz58/XtddeW+05SUlJSkxMdO07nU4CEgAAzZjPzhx16NBBfn5+VWaJjh8/XmU2qTaDBw/WwYMHazxut9sVHBxcaQMAAM2Xz4Yjf39/xcTEKD09vVJ7enq6hgwZUufr5OTkKDw83N3lAQAAH+XTj9USExM1adIkxcbGKi4uTosXL1Z+fr4SEhIk/fZI7MiRI3rvvfckSQsWLFC3bt3Up08flZaWavny5UpLS1NaWpo3hwEAAJoQnw5Hd9xxh3766Sc988wzKigoUN++fbVp0yZ17dpVklRQUFDpM49KS0s1a9YsHTlyRIGBgerTp482btyosWPHemsIAACgibFZlmV5uwhf4nQ65XA4VFxczPqjGvxaWq7ecz+VJO17ZpRa+/t0BgcAr+Pf1QtXn+/fPrvmCAAAwBMIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAwefD0cKFCxUVFaWAgADFxMRo+/bttfbPzMxUTEyMAgICdNlllyklJaWRKgUAAL7Ap8PRqlWrNHPmTD355JPKycnR0KFDNWbMGOXn51fbPy8vT2PHjtXQoUOVk5OjOXPm6OGHH1ZaWlojVw4AAJqqlt4u4EK88soreuCBB/Tggw9KkhYsWKBPP/1UixYtUnJycpX+KSkp6tKlixYsWCBJ6tWrl7KzszV//nxNnDixMUuvwrIsnSmr8GoN7vJrafMYBwDg4uSz4ai0tFR79uzRE088Uak9Pj5eO3furPacrKwsxcfHV2obNWqUli5dqrKyMrVq1arKOSUlJSopKXHtO51ON1Rf1ZmyCvWe+6lHrg0AAOrOZx+rFRUVqaKiQqGhoZXaQ0NDVVhYWO05hYWF1fYvLy9XUVFRteckJyfL4XC4tsjISPcM4CIQ27WdAlv5ebsMAADqxWdnjs6x2WyV9i3LqtJ2vv7VtZ+TlJSkxMRE177T6fRIQAps5ad9z4xy+3W9KbCVX63vBQAATZHPhqMOHTrIz8+vyizR8ePHq8wOnRMWFlZt/5YtW6p9+/bVnmO322W3291TdC1sNpta+/vs2wEAQLPhs4/V/P39FRMTo/T09Ert6enpGjJkSLXnxMXFVem/ZcsWxcbGVrveCAAAXHx8NhxJUmJiopYsWaJ33nlH+/fv16OPPqr8/HwlJCRI+u2R2D333OPqn5CQoEOHDikxMVH79+/XO++8o6VLl2rWrFneGgIAAGhifPo5zh133KGffvpJzzzzjAoKCtS3b19t2rRJXbt2lSQVFBRU+syjqKgobdq0SY8++qjefPNNRURE6PXXX/f6j/EDAICmw2adW5GMOnE6nXI4HCouLlZwcLC3ywEAXAR+LS13fdzLvmdGsUa1Aerz/dunH6sBAAC4G+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADD4bDg6ceKEJk2aJIfDIYfDoUmTJumXX36p9Zx7771XNput0jZ48ODGKRgAAPiElt4uoKHuuusu/fDDD9q8ebMk6T//8z81adIkbdiwodbzRo8erWXLlrn2/f39PVonAADwLT4Zjvbv36/Nmzdr165dGjRokCTp7bffVlxcnA4cOKDo6Ogaz7Xb7QoLC2usUgEAgI/xycdqWVlZcjgcrmAkSYMHD5bD4dDOnTtrPTcjI0OdOnVSz549NWXKFB0/frzW/iUlJXI6nZU2AADQfPlkOCosLFSnTp2qtHfq1EmFhYU1njdmzBi9//77+uyzz/Tyyy9r9+7duv7661VSUlLjOcnJya51TQ6HQ5GRkW4ZAwAAaJqaVDiaN29elQXTv9+ys7MlSTabrcr5lmVV237OHXfcoRtvvFF9+/bVuHHj9Mknn+if//ynNm7cWOM5SUlJKi4udm2HDx++8IECAIAmq0mtOZo+fbruvPPOWvt069ZNe/fu1bFjx6oc+/HHHxUaGlrn+4WHh6tr1646ePBgjX3sdrvsdnudrwkAAHxbkwpHHTp0UIcOHc7bLy4uTsXFxfriiy909dVXS5I+//xzFRcXa8iQIXW+308//aTDhw8rPDy8wTUDAIDmpUk9VqurXr16afTo0ZoyZYp27dqlXbt2acqUKbrpppsq/aTaFVdcobVr10qSTp06pVmzZikrK0vff/+9MjIyNG7cOHXo0EETJkzw1lAAAEAT45PhSJLef/999evXT/Hx8YqPj1f//v31j3/8o1KfAwcOqLi4WJLk5+enr776SuPHj1fPnj01efJk9ezZU1lZWQoKCvLGEAAAQBPUpB6r1UdISIiWL19eax/Lslx/DgwM1KeffurpsgAAgI/z2ZkjAAAATyAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGnw1Hzz33nIYMGaLWrVvrkksuqdM5lmVp3rx5ioiIUGBgoIYNG6ZvvvnGs4UCAACf4rPhqLS0VLfffrumTp1a53NefPFFvfLKK3rjjTe0e/duhYWFaeTIkTp58qQHKwUAAL6kpbcLaKinn35akpSamlqn/pZlacGCBXryySd16623SpLeffddhYaGasWKFfrzn//sqVIBAHCbX0srvF2CxwW28pPNZvPa/X02HNVXXl6eCgsLFR8f72qz2+267rrrtHPnzhrDUUlJiUpKSlz7TqfT47UCAFCT2Gf/29sleNy+Z0aptb/3IorPPlarr8LCQklSaGhopfbQ0FDXseokJyfL4XC4tsjISI/WCQDA7wW28lNs13beLuOi0aRmjubNm+d6XFaT3bt3KzY2tsH3+P00nWVZtU7dJSUlKTEx0bXvdDoJSACARmWz2bQ6IU5nypr/IzXptzDoTU0qHE2fPl133nlnrX26devWoGuHhYVJ+m0GKTw83NV+/PjxKrNJJrvdLrvd3qB7AgDgLjabzauPmi4mTepV7tChgzp06OCRa0dFRSksLEzp6ekaOHCgpN9+4i0zM1P/9V//5ZF7AgAA3+Oza47y8/OVm5ur/Px8VVRUKDc3V7m5uTp16pSrzxVXXKG1a9dK+i1xz5w5U88//7zWrl2rr7/+Wvfee69at26tu+66y1vDAAAATUyTmjmqj7lz5+rdd9917Z+bDdq6dauGDRsmSTpw4ICKi4tdfWbPnq0zZ87ooYce0okTJzRo0CBt2bJFQUFBjVo7AABoumyWZVneLsKXOJ1OORwOFRcXKzg42NvlAACAOqjP92+ffawGAADgCYQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAw+++tDvOXcB4o7nU4vVwIAAOrq3PftuvxiEMJRPZ08eVKSFBkZ6eVKAABAfZ08eVIOh6PWPvxutXo6e/asjh49qqCgINlstjqd43Q6FRkZqcOHDzf738fGWJufi2WcEmNtji6WcUqM9Xwsy9LJkycVERGhFi1qX1XEzFE9tWjRQp07d27QucHBwc3+L+w5jLX5uVjGKTHW5uhiGafEWGtzvhmjc1iQDQAAYCAcAQAAGAhHjcBut+upp56S3W73dikex1ibn4tlnBJjbY4ulnFKjNWdWJANAABgYOYIAADAQDgCAAAwEI4AAAAMhCMAAAAD4ciLSkpKNGDAANlsNuXm5nq7HLe7+eab1aVLFwUEBCg8PFyTJk3S0aNHvV2W233//fd64IEHFBUVpcDAQHXv3l1PPfWUSktLvV2aRzz33HMaMmSIWrdurUsuucTb5bjNwoULFRUVpYCAAMXExGj79u3eLskjtm3bpnHjxikiIkI2m03r1q3zdkkekZycrKuuukpBQUHq1KmTbrnlFh04cMDbZXnEokWL1L9/f9cHIsbFxemTTz7xdlkel5ycLJvNppkzZ7r92oQjL5o9e7YiIiK8XYbHDB8+XB9++KEOHDigtLQ0/etf/9Jtt93m7bLc7ttvv9XZs2f11ltv6ZtvvtGrr76qlJQUzZkzx9uleURpaaluv/12TZ061duluM2qVas0c+ZMPfnkk8rJydHQoUM1ZswY5efne7s0tzt9+rSuvPJKvfHGG94uxaMyMzM1bdo07dq1S+np6SovL1d8fLxOnz7t7dLcrnPnznrhhReUnZ2t7OxsXX/99Ro/fry++eYbb5fmMbt379bixYvVv39/z9zAglds2rTJuuKKK6xvvvnGkmTl5OR4uySPW79+vWWz2azS0lJvl+JxL774ohUVFeXtMjxq2bJllsPh8HYZbnH11VdbCQkJldquuOIK64knnvBSRY1DkrV27Vpvl9Eojh8/bkmyMjMzvV1Ko2jXrp21ZMkSb5fhESdPnrR69OhhpaenW9ddd531yCOPuP0ezBx5wbFjxzRlyhT94x//UOvWrb1dTqP4+eef9f7772vIkCFq1aqVt8vxuOLiYoWEhHi7DNRBaWmp9uzZo/j4+Ert8fHx2rlzp5eqgrsVFxdLUrP/uqyoqNAHH3yg06dPKy4uztvleMS0adN044036oYbbvDYPQhHjcyyLN17771KSEhQbGyst8vxuMcff1xt2rRR+/btlZ+fr/Xr13u7JI/717/+pb///e9KSEjwdimog6KiIlVUVCg0NLRSe2hoqAoLC71UFdzJsiwlJibqmmuuUd++fb1djkd89dVXatu2rex2uxISErR27Vr17t3b22W53QcffKAvv/xSycnJHr0P4chN5s2bJ5vNVuuWnZ2tv//973I6nUpKSvJ2yQ1S13Ge89hjjyknJ0dbtmyRn5+f7rnnHlk+8qHs9R2rJB09elSjR4/W7bffrgcffNBLlddfQ8ba3Nhstkr7lmVVaYNvmj59uvbu3auVK1d6uxSPiY6OVm5urnbt2qWpU6dq8uTJ2rdvn7fLcqvDhw/rkUce0fLlyxUQEODRe/HrQ9ykqKhIRUVFtfbp1q2b7rzzTm3YsKHSP7oVFRXy8/PT3XffrXfffdfTpV6Quo6zur+4P/zwgyIjI7Vz506fmO6t71iPHj2q4cOHa9CgQUpNTVWLFr7zf4+GvK+pqamaOXOmfvnlFw9X51mlpaVq3bq1Vq9erQkTJrjaH3nkEeXm5iozM9OL1XmWzWbT2rVrdcstt3i7FI+ZMWOG1q1bp23btikqKsrb5TSaG264Qd27d9dbb73l7VLcZt26dZowYYL8/PxcbRUVFbLZbGrRooVKSkoqHbsQLd1yFahDhw7q0KHDefu9/vrrevbZZ137R48e1ahRo7Rq1SoNGjTIkyW6RV3HWZ1zObykpMSdJXlMfcZ65MgRDR8+XDExMVq2bJlPBSPpwt5XX+fv76+YmBilp6dXCkfp6ekaP368FyvDhbAsSzNmzNDatWuVkZFxUQUj6bfx+8q/tXU1YsQIffXVV5Xa7rvvPl1xxRV6/PHH3RaMJMJRo+vSpUul/bZt20qSunfvrs6dO3ujJI/44osv9MUXX+iaa65Ru3bt9H//93+aO3euunfv7hOzRvVx9OhRDRs2TF26dNH8+fP1448/uo6FhYV5sTLPyM/P188//6z8/HxVVFS4PqPr8ssvd/199jWJiYmaNGmSYmNjFRcXp8WLFys/P79Zrhs7deqUvvvuO9d+Xl6ecnNzFRISUuXfJ182bdo0rVixQuvXr1dQUJBr/ZjD4VBgYKCXq3OvOXPmaMyYMYqMjNTJkyf1wQcfKCMjQ5s3b/Z2aW4VFBRUZc3YuTWtbl9L5vaff0O95OXlNcsf5d+7d681fPhwKyQkxLLb7Va3bt2shIQE64cffvB2aW63bNkyS1K1W3M0efLkase6detWb5d2Qd58802ra9eulr+/v/WHP/yh2f7I99atW6t9/yZPnuzt0tyqpq/JZcuWebs0t7v//vtdf3c7duxojRgxwtqyZYu3y2oUnvpRftYcAQAAGHxrYQQAAICHEY4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAJD0zDPPqF+/fmrTpo1CQ0M1depUlZWVebssAF7Q0tsFAIC3WZaliooKvfXWW7r00ku1b98+3XPPPerfv7+mTp3q7fIANDJ+8SwAVOOuu+5Sx44d9dprr3m7FACNjMdqAC56hw4d0vTp09W3b1+1a9dObdu21YcffqjOnTt7uzQAXkA4AnBRKyoq0tVXX62ioiK98sor2rFjh7KysuTn56cBAwZ4uzwAXsCaIwAXtU2bNqm8vFwrV66UzWaTJL355psqLS0lHAEXKcIRgItaSEiInE6nPvroI/Xu3VsbNmxQcnKyLr30UnXs2NHb5QHwAhZkA7ioWZalqVOnasWKFQoMDNSf/vQn/fvf/9ahQ4f08ccfe7s8AF5AOAIAADCwIBsAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAADD/wdPskHpZNXvngAAAABJRU5ErkJggg==", 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" ] @@ -285,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -300,7 +284,7 @@ " [ 0., 0., 0., ..., -1., -1., -1.]])" ] }, - "execution_count": 58, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -319,19 +303,19 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "3.9529463851622046\n" + "3.841874542459709\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -354,12 +338,12 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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z%j$V3CwB=3QJE*q0&VK=0IGiq@p_#ek1-cDButlUMIkBIx}1}flCD|y=ZCbJ7UVU+ zP^&9fuDH$U8W|Y@wGsX?X1YL$YBT)|y=~K2X2MsLK*?X3u-hK2 z`JT1hBbN99TD#4^qB*Pgr@|IsRtdsog%2T6IWs#8q9ImeURz3~iW|QnvRxIjzN#3* zWpsLcaD{@RD^HWx!O^jer_Bb==d*!S`i78!aT%bK=p{VtcltC-;SNd_$Wzu zoRgCPz$=V_l-Zgf*s}aVyux`&V+>m3K}2+xF6`1b`1#3$>!lqWHmS!|l$A}#(cY}; zEbW;~qMzl$(-mWR%B%;wmmN4v07?Ag#}5*E`gVB0_&biQZHdCd2(C$EX}WE4)<;0l zX1(?bNJ%tRxe>-lcl}B+uE~7F>aAE=Vce8X0eKl`M=Gy{JxSu&9z}txc|+p zP5s~8%o4s&|5v^`UhjkELXB?iPSLu<#--eP$g1yFhcE~o%Gr{j3BQT_gOluDeS6(xAd1{4pB zdVvFEf^M=W#x!9c-?Oyj0N?AiJ7|W{;jVU^OVCSL7vv8_Rx-^P#9Uvzo+Xh{C z6!bDNX0ikSm#CL8jIkgr7Wz~3^@;B+=ooAQ$~Zmk>M@TcZWOo;4=t^@u|hqu+T^-& z!|#4%XM`|z$=b!jmUG1wI;+&Cv9lHMO-uLZ^1vbwGe8xzBT=|x`D*|k90b9;GQE1X zG?fpYlM$)#A6(`?BGSK~g$VM5u*iS#w!hD?)NnU ect.ect_graph — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + @@ -264,13 +262,13 @@

Source code for ect.ect_graph

     def calculateECC(self, G, theta, bound_radius=None, return_counts=False):
         """
         Function to compute the Euler Characteristic Curve (ECC) of an `EmbeddedGraph`.
-        
+
         Parameters:
             G (nx.Graph): The graph to compute the ECC for.
             theta (float): The angle (in radians) for the direction function.
             bound_radius (float, optional): Radius for threshold range. Default is None.
             return_counts (bool, optional): Whether to return vertex, edge, and face counts. Default is False.
-        
+
         Returns:
             numpy.ndarray: ECC values at each threshold.
             (Optional) Tuple of counts: (ecc, vertex_count, edge_count, face_count)
@@ -295,7 +293,8 @@ 

Source code for ect.ect_graph

             f_list, g_f = G.sort_faces(theta, return_g=True)
             g_f_list = np.array([g_f[f] for f in f_list])
             sorted_g_f_list = np.sort(g_f_list)
-            face_count = np.searchsorted(sorted_g_f_list, r_threshes, side='right')
+            face_count = np.searchsorted(
+                sorted_g_f_list, r_threshes, side='right')
         else:
             face_count = np.zeros_like(r_threshes, dtype=np.int32)
 
diff --git a/docs/_modules/ect/embed_cw.html b/docs/_modules/ect/embed_cw.html
index 5d02af3..88a151e 100644
--- a/docs/_modules/ect/embed_cw.html
+++ b/docs/_modules/ect/embed_cw.html
@@ -1,25 +1,23 @@
+
+
 
 
 
   
   
   ect.embed_cw — ect 0.1.5 documentation
-      
-      
+      
+      
       
 
   
     
-  
-  
-        
-        
-        
-        
-        
-        
+      
+      
+      
+      
+      
+      
     
     
      
@@ -320,7 +318,8 @@ 

Source code for ect.embed_cw

             fig = ax.get_figure()
 
         ax = self.plot_faces(0, facecolor='lightblue', ax=ax)
-        ax = super().plot(bounding_circle, color_nodes_theta, ax)
+        ax = super().plot(bounding_circle=bounding_circle,
+                          color_nodes_theta=color_nodes_theta, ax=ax)
         return ax
diff --git a/docs/_modules/ect/embed_graph.html b/docs/_modules/ect/embed_graph.html index f7e5ad2..69d99e2 100644 --- a/docs/_modules/ect/embed_graph.html +++ b/docs/_modules/ect/embed_graph.html @@ -1,25 +1,23 @@ + + ect.embed_graph — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_modules/index.html b/docs/_modules/index.html index 485c996..1a06c7a 100644 --- a/docs/_modules/index.html +++ b/docs/_modules/index.html @@ -1,25 +1,23 @@ + + Overview: module code — ect 0.1.5 documentation - - + + - - - - - - - - + + + + + + diff --git a/docs/_sources/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb.txt b/docs/_sources/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb.txt index 29103d7..f748910 100644 --- a/docs/_sources/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb.txt +++ b/docs/_sources/notebooks/Tutorial-ECT_for_CW_Complexes.ipynb.txt @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -37,13 +37,13 @@ "" ] }, - "execution_count": 26, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -64,7 +64,7 @@ "\n", "K.add_face(['A', 'B', 'C', 'D'])\n", "\n", - "K.set_mean_centered_coordinates()\n", + "K.set_centered_coordinates(type = 'min_max')\n", "K.plot()" ] }, @@ -77,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -86,13 +86,13 @@ "" ] }, - "execution_count": 32, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -102,7 +102,7 @@ } ], "source": [ - "K = create_example_cw(mean_centered = True)\n", + "K = create_example_cw()\n", "K.plot(bounding_circle=True)" ] }, @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -124,13 +124,13 @@ "" ] }, - "execution_count": 36, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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fdwVaNdtJHmt/cRFLly6ViT3CEDERa2iTHIAncueAo34Anij4qYlodf/99+W+gSKhbSfZ2WqzlPR0dYxmbGXjZNbk1t01zL89KuH8gUSkp5H79Y/k6DrJ11/pdXD37NXr6LnJQvjgrN7R/Px502pvk5zkpF60xtbM8mpvVy3d17XfwsPt41akMntcGOePP+Cii+Dkk+HLL20V2ABxEZG1+nWof+G5gEbu17OPBncNPQpONJ769Fuf6hTCo2G97cAT1d7G6dQYcEY9vvu5gO3ZZTRNq+24NuCw1++yMJeEth28+y6MHg3dux/d4cxmOjRoWOv71L9wEDg0cr/8QQX3DVdVG9xN4pJo1ekkX8oU4ggH7XDrT+HQqt9jfMKtiXz7UwH//NcevngzjYiIil2sZWU6380p4MJBlYSzFgOOtBM/L+rE18lkRuzS6G8S2lY3aRI8/DCMGgUvvwxRUWZXVCcZ9RsQ6XRS4qpdV2D9888BTSN31vfkQJXB7dA0msUHYgBShAo3keS7WxDv2Fzt4ozePaN5cUojbpm4h17nZjJmVAId20ZQVg7LV5Xw6ru5dGoXUUloaxDeWeZgGMiNQzZXESbr0EGd93vnnZZf1lWdMIeDIS3b8uWmtbV+N1v/vIFomsbBmd+Ro7tJHn3NCcHt1nW6NWxmZMlCsL3sbDpEbkGr4cX8xmsSOKV7FP955QBPvnCAXXtdhIdB21YRXHlxHOOuq2zffx0t6nz/FB6iXLqGy4eTuny5b6BIaFtRbi688w6MG6f2Dw8SIzp154uNa6r8emyfXsT26VXp1xKGnE3CkLOrvG9KvXhaJtS+C16IquzctoV3313IB4+7cYTV/GLetVMk059v7P0TaNEQdaEPFYpQJOu0rWbXLujXD+6/HzIzza7GUCenpHJ6k2Y4/dBjMLhlV+lmFIbYuW0LL0y8g9vPO5OFPy7i783d0A1fCqShxfwTzRFj8OOGNtfh2eO+XFZn/QpDyYYN0KeP2pp0/nxofuLhGHamaRpPnjWYCKfTsJdADY2uDZvRVbrGhY+ODes1i+bz7LPPsnnTJrqf8TaaIxXDXi7LdShvBjH/NObxxBFu3eHzZXXWrzBUbNgAp58OERGwYAF07mx2RX7RJC6eZ/oPMeSxdJeLsMIiLmnd05DHE6GpqrC+7bbbiI6ORtOi0RL/B0Tg80um7oBiDW3YcrRFsoWpqD0Jbato0QKuuw5+/RWaBXer8bxW7Xi2/3k4NA1HHbu0HZpGg7AItj78NO8+ej9ud/XLcoQ4Xk1hfSwtvAta0uugReJy1bWfyAmOWLSkd9BSetl6YqlVhUL3uExEM9usWZCSAqeeCk9Uv5FDMLm4bUeaxSdwx8/fsCM/z+ulFg5Nw63rXNKmI/f36c/MqAZce+21ANz00JM4vNw5TYSundu28NnLz/PLrM9o2KgRzz77LDfeeOMJQX08LaIXC9dPQM+9m9N6RB+eQ+HNz+3h20WcgpYwGc2ZBt98o75UVgYLF8KZZ/r6bQnU0S6+zAC3w1t/CW0zffaZmh0+apQK7RDTo3ETfhh+La+uWMJbfy9jX1EhYQ4H5ce1mj2tcbeu0yMljVtOPo2z0lsCMHLkSAAJblGjuoa1R35+PleNmEhGqwxmf/lPKHwDXJmAE/Vyf2yAa6iOTBc4M9Bib4Soi06cLPn662qVyNtvw9VXG/J9iuAmoW2Wjz+Gq66C4cPVpikhKjo8nNt69GZst1OYk7WFP3ZuZ/menWTm5eLS3dQLC6dTcgpdGqZwTosM2iSeuIGKBLeojq9h7XH33XeTk5PDnDlzcMS0RK93JZT+jl66EMpWUlq0hv37dpOU1JiIep0gvAtaZF8I7171yoYbb4TFi2HECCgvV2/gRZ35vrlK7e47efJkPv/8c9auXUt0dDR9+vThiSeeoF27dnWuoSYS2mb45BO48koV2tOnQ5j8bwh3OhnUojWDWrSu0/0luMXxjAprgJ9++omXX36ZF198kZYtVS+PpmkQeRpa5GkArP7zT3r06MHSpZ9y8skne/fATie89pr687rrwO1Wf4o68X0b09rdd968eYwbN45evXpRXl7Offfdx6BBg1i9ejUxMf5ZzidpYYbWrVWX2HPP2eJYTbuQ4BZgbFiD6ha/4YYb6NevH2PGjDG4WsDhgGnT1J9//imhbSPfffddhY+nT59Oo0aNWLp0KWf6aZ6ChHYgzZ8PvXqpgz+6dze7mqAkwR26jA5rjwrd4v76WXI4YOrUozPKd+2CxrXYXU0Axp2nnZeXV+HzkZGRREZG1nj/3NxcAJKSkupcQ03k1SxQvvoKzj4b/vtfsysJeiNHjuTNN9/kp08/YNqku2U5WJCrzdKt2vJ0iz/55JNHusX9xuFQob1kCbRqpYbRRK14usd9uQDS09NJSEg4ck2ePLnG59Z1nfHjx9O3b186+3GfDWlpB8Jvv6kJZxdcoA7+EH4nLe7g56+WtYffu8Wr0r07XHyxmk2elKTe7Auv+LrW2nPfrKws4uPjj3zem1b2LbfcwooVK/j111/r/PzekND2t7//VmF96qnw/vsQHm52RSFDgjs4+TusPQLSLV4ZpxPefBP271fhPXcueDuxTRgiPj6+QmjX5NZbb2XWrFn88ssvNG3a1I+VSWj735dfqj3EZ8607VnYdibBHTwCFdZQ+WzxgAoPV93jZ58NY8bA77/LDmpecOsabl82V6nlfXVd59Zbb2XGjBnMnTs3ID8rEtr+4narMaoJE+DWW8FP0/9FzSS47S2QYQ0mdosfLzYWvv4aSkoksL3k9rF7vLbrtMeNG8f777/PzJkziYuLY9euXQAkJCT47edTQtsfCgpg8GD1DvnqqyWwLUCC234CHdYepnWLVyb58GZCe/eqBsBzz0Etum2Ff02dOhWAfv36Vfj89OnTj7zWGE1C22hlZXD55bBsGbRta3Y14hgS3PZgVliDBbrFq7J7t9r2eOtWtW+5FxOjQpGvx2vW9r667t2ZCUaS0DaSrsPYsfD996pbq1cvsysSx5Hgti4zwxos1C1emc6d1eFCgwapzVfee0+6zCvhQsPlwzptX+4bKBLaRnr1VXUAwFtvqV8uYUkS3NZidlh7WKpbvDJnngnvvquWj3buDPfea3ZFwgR+DW0zNlM31bBhqrV9OBSEdUlwm88qYQ0W7hY/3qWXwiOPQMOGZldiSYHuHjeDX0PbjM3UTbF5M9Srp7YdvOkms6sRXpLgNoeVwhos3i1emX//++jfc3MhIcG8WizGhW9d3C7jSvEbv4a2GZupB1xuLpx/PjRtCrNnm12NqCUJ7sCxWlh7WL5bvCrPPQcvvKCO9mzQwOxqRIAEdEy7ps3US0pKKCkpOfLx8Zu2W47LpY7X3LlTbZ4ibEmC27+sGtZgo27xylx8MTz+uBrj/v572W0R6R43lDebqU+ePJmHHnooUCX57t574bvv1BIMWd5laxLcxrNyWIMNu8WP16IFfPopDBwI48fD//5ndkWmC/R52mYIWGh7s5n6xIkTGT9+/JGP8/LySE9PD0R5tbdxo+qeeuopOPdcs6sRBpDgNobVw9rDtt3ixzrrLBXWY8eq2eXDh5tdkal0H4/m1GXJl+LtZurenllqCa1bw+rVkJFhdiXCQBLcdWeXsAabd4sfb8wYiItTBxOJoOfX0DZjM3W/KymBl16CW25RwS2CjgR37dgprCEIusUrc/XV6s/Vq9UBRcG0OqcWpHvcR2Zspu53d90F06apzVM6dTK7GuEnEtw1s1tYewRFt3hlCgpUd/mwYfDaa2ZXY4pAn/JlBr+GthmbqfvVjBlq/OiFFySwQ4AEd+XsGtYQZN3ix4uJgSefhOuvhwED1MoWEXT83j0eNLZtU78MF18MN99sdjUiQCS4j7JzWEOQdosf79pr4eef1SZPvXpBmzZmVxRQLh+P5vTlvoEie49769131c5Dr78uG/WHmFAPbruHtUfQdosfS9PUnJvff1czyn/80eyKAkq6x8VR994L//wnJCaaXYkwQSgGd7CENQR5t/jx4uLUUF5cnNmVCD+Q0K7JwoWQmQmXXSab9Ie4UAnuYAprCJFu8eN55twcPKiG9rp2NbWcQHHjwO1DF7cv9w0UCe3qFBbCqFGQnKw2LZBu8ZAXzMEdbGHtERLd4lUZNw5+/RVWroT4eLOr8TuXruHyoYvbl/sGioR2de6/H7Ky4MsvIdR+2UWVgi24gzWsIcS6xSvz6KPQpcvRparC9iS0q/Lbb0e3KQ3W879FnQVDcAdzWEOIdosfr2VL9Rp2883qLO5zzjG7Ir+SiWih7Nln4bTT4I47zK5EWJRdgzvYw9ojpLvFj3XTTepgkRtvhPXrISLC7Ir8RvfxlC891HdEs7UPPoB9+8DpNLsSYWF2Cu5QCWuQbvEKHA61VDUzM6gDG8CFhsuHQz98uW+gSGgfb8kSdS5t166Qmmp2NcIGrB7coRTWIN3ilWrRQl1ut5qn07y52RWJOpLQPlZJidp4PzUV5s41uxphI94Gd6m7nHX5WWQV7mF7UQ6HyovQgdiwaJpGJ9M0OpkO8c2IcIT7XFOohbWHdItX4+67VVf56tVQr57Z1RjOrfs2Lu22wSaeEtrHeuYZ2LwZPv/c7EqEDVUX3IfKi5i79y/+2L+OEncZDhy4cR+5796Sg2wr2I0bNxFaGD2T2tGv4UnEh9f+tKZQDWuQbvEajR2rzk54/HE1szzIuH0c0/blvoEioe2Rmal+iG+/XQ4DEXV2fHD/88EnWJW/lRk7fqPEXYaOeit/bGB7eD5XqpezaN9qlh5Yz9C0PpxcvzWaF3sEhHJYg3SLeyUjA+65B6ZMUXtQhNje5MFAQtvjvvvUFqWTJpldibC5Y4P7QNeG5LVrUOvHcKNT4i7jk+3zyCzczbC003FUEdyhHtYe0i3upQkT4O234bbb4JtvgmrTKDcabh8mk/ly30CR0PZ46inVNS779QoDjBw5kp/CD7AwPM/nx/p9/1o0NIal9anQ4pawPkq6xWshOlodKrJtm9mVGE52RAsFpaXq8PjGjdUlhAF+zl5vSGB7LNq/hlYxqZxUv5WE9XGkW7wOhgw5+nddD6rWdrCT0H72Wfjvf2HDBnWIvBA+yist5t6lX+JAw03F6ah5c5ax+6UZRz7WwsNw1Isiomky9bq2Jn7AyYQlxFb6uJ9l/cKc/7zIb598LGF9DOkW98Gtt0KDBvDgg2ZXYgiZiBbssrLgkUfUjkES2MIg729ewsGSohMC+1gpN19MeJNkcLkozy2geG0mB774lQOzfiP1zsuod1LGCfcpdpWyNbZQwvoY0i3uo4QENSltxAg1Sc3m3Pi4jakNxrSt/7bCnyZOVGPYQfIuU5jPpbt5d+Mf1QY2QESzRkS3TSe6QwviTutEw2uH0Ozpm3FERrDz6Q8pP3johPtoTgeNLjidMbeMk8BGusUNce+9kJKiDhQRthC6of3XX/D++/DQQyFxZJ0IjOX7drCn+MTA9UZ4w/okjzoXd1EJubP/qPQ2uWXF/L5nqw8VBg9Pt/gbb7wh3eJ1Va8ePPYYzJgBixaZXY3P9MOzx+t66dLStjC3G664Aq6/3uxKRBBZeSAbzYdf/JjubcHhoGhN5TN7nZrGqgPZdX78YOHpFn/yySelW9xXV10FJ58MCxaYXYnPPKd8+XJZXeiOaXfvrlraQhhozcFdODQNl163/RAdURE44+rh2p9f6dd1HVYf3O1LibYn3eIGczhg4cKgOEwkFCaiWb9Co+k6jBunDgYRwmB5ZcW49BN3O6udqgPfjU5uaZGPj29v0i3uBxERUFamGjJuX39+hT+F3k/8zJlqY4GDB82uRAQhX7rGAdzFpbjyi3AmVb3JT1U7o4UC6Rb3oz//VAcmffih2ZXUWSh0j4dWaLtcarbkwIHqEsJgyVExhGl1/7Uq+HM9uN3U69Si0q87NY2GUZWv4w520i3uZ6eeCkOHwv33q02nbMiXSWi+boEaKKEV2m+/DWvWwOTJZlciglSn+qmU17F7vGzvQXLe/h5HvSjiB/aq9Da6Dp0SQ/Ocd+kWD4DHH4etW+HVV82uRFQhdCai6bra+ezSS6FnT7OrEUGqW4MmXt2uNHMPussNLjeuvAKK1mwjb84ycGik3nUFYQmVb/bjRqdrknfPEUxkE5UA6dQJRo5UJx7ecANERZldUa342sVth+7x0AltTYO5c9U+40L4Sdv4RrSMqs+WogPV7ufs2cpUC3PiiIkioklDEi/qS/yAHlUGtgakxyTSLcRCW7rFA+zf/4ZzzoEw+8WDhHawcLshN1cdvZmQYHY1Ikht3LiRxx57jMXbV5H8zwsrHR2L79+d+P7d6/wcI1uf4tXZ2sFE9hYPsIyMoNjSNFiFxm/Al19Cs2Zqr3EhDLZx40auu+462rdvz6xvvuWiU4bSODIRh4GTWpyaRvPYJC5vdbJhj2kHMlvcJKWlcNlltptJLrPHg4Guq4ln3btDerrZ1YggcnxYj7pnEi/8sIALR47mimb9DX0ut67z1CkXEekMjc4xkG5xU0VEQF6emphWx42CzBAKoR38rwBz58Lvv8M335hdiQgSnm7wd955h4QGyYy6ZxIDL7uayKijh3ikRjfgsvR+fJg1x5DnfKTHBSE3AU26xU02cSL06wdffw0XXGB2NeKw4A/tyZOhWzcYPNjsSoTNeRPWx+pWX40LfpI1Dx29xpO/jufUNEDjkZPP59KW3Xys3l5ktrgFnHkm9O6tXkPPP7/aiZVWoePb8Zp26FMI7tAuLlb76k6YYIsfOGFNtQ3rY3Wrn0FaVBIfbZ/HjqIcNDT0Gl4aHGi40Wkd15CnTrmI9vVTjPpWbEG6xS1C01Rr+9JLYdMmaN3a7IpqJLPH7S4qCr77zlZjMsI6fAnrYzWKSmRcxlBW5m5h4b7VbC1UB3440FTLoLycsLAwXIfDvEtSGiNa92JI046EO5xGf1uWJ93iFnL++WqzlVR7bOgjoW1nu3erQ0EGDwZn6L3wibozKqyP5dAcdK2fQdf6GRwsPURW0V52FOWwa282v8/9lpGXXk7/dl3pkpRGekyigd+NvUi3uMU4HCqwi4uhpESWzFpA8L6NfeUVtWQhv/IjDoU4XlWzwc8fOdqnwD5e/YhYuiS0ZHDjXpzpaMmeabO4Mqk956V3CunAlm5xi3K7oUsXW2z/LLPH7aq8HKZNUyfW1K9vdjXC4vzRsha1J93iFuVwqG7y11+Hhx6CyEizK6pSKHSPB+dvxpdfwo4dcPPNZlciLCxQLWtRM9lExeLGjoWcHPj0U7MrCXnB2dJ+6SW1VKFbN7MrERYkLWtrkW5xG2jXTh1n/NJLqgfTonRdQ/ehtezLfQMl+EJb11VXjg2WJ4jAkrC2JukWt4mbb4YpU9Q8obg4s6uplK9nYst52mbQNLjjDtnBRxwh3eDWJd3iNnLRRWp3SYsGthl++eUXLrzwQtLS0tA0jS+++MLvzxlcoV1YCP/6lxrPFiFPwtrapFvcZjRN9WQuXKhOTbSgQM8eLygooGvXrrzwwgt++o5OFFzd47NmwTPPgLwAhDTpBrcH6Ra3od274fTT4bXX4Prrza7mBIEe0x4yZAhDhgyp8/PVRXCF9rvvqgloMp4dkiSs7UM2UbGpxo1hwAD1WmvB0DZKXl5ehY8jIyOJtMhSt+B5e7t3r9qy1MIzG4V/SDe4vUi3uM1dc406PXH7drMrOYFR3ePp6ekkJCQcuSZbaGOZ4Glpf/yxGnO57DKzKxEBIi1re5JucZu75BK1bvuDD+Cuu8yupgKjusezsrKIj48/8nmrtLIhmEJ7wACYOhUaNjS7EuFnEtb2Jd3iQSA+XoV2TIzZlZxA93FHNE9ox8fHVwhtK/FraP/yyy889dRTLF26lJ07dzJjxgwuuugi/zxZhw7qEkFLwtrepFs8iDz7rNkVhCy/hrZnOvx1113HP/7xD/890RtvqBNoxo7133MI00hYBwfpFg8y27bB5s3Qv7/ZlRyh49tJzLW966FDh9i4ceORj7ds2cLy5ctJSkqiWbNmdS+kGn4N7YBMh9d1tUtPnz4S2kFGwjp4SLd4EHriCXXOw7Zt6lARC3CjoQVwR7QlS5bQ/5g3LePHjwdg1KhRvPnmm3WuozqWGtMuKSmhpKTkyMfHT7uv1PLlsGEDBHBxu/AvCevgIt3iQerqq9U8ogULoG9fs6sxRb9+/dB9adrXgaVCe/LkyTz00EO1u9OsWepgdgt10Yi6kbAOTtItHqR694ZGjVRr2yKhHQoHhljqN2jixInk5uYeubKysmq+06xZMGQIhIf7v0DhF7LOOnjJ3uJBzOFQZzzMmmV2JUcEehtTM1iqpV2nXWceekiWedmUtKyDm3SLh4DLLweXC4qLISrK7GpCgqVCu07kNC/bkbAODdItHgIGDVKXRei6j7PHAzs8XSd+DW2/T4d/5BHo1QsGD/b9sYTfSViHDpktHkL274fFiy3xOixj2j5asmQJ3bt3p3v37oCaDt+9e3ceeOAB3x/80CF49FFYt873xxJ+JWPWoUW6xUPMZ5/B+efDvn1mVxIS/NrS9ut0+B9+gNJSuPBC/zy+8Jm0rEOTdIuHmAsuALcbvv1WHSZiolBoadt3THvWLOjUCVq1MrsScRwJ69Al3eIhKDVVDVPOnGl6aLt1Dc2H4JXZ4/6i6zB7thzDaTES1qFNusVD2HnnwX//q1rcJvauyEQ0q3K54OGHoUcPsysRSFgLRbrFQ9igQfDHH2pSWnKy2dUENXuGdlgY3HCD2VWEPAlr4SHd4iGuTx/4+muzqzjc0vZlTNvAYvzEnqH95pvQvLlsXWoSCWtxLOkWFwAUFcHGjdCli2klhMJENPv1Yek6TJwI339vdiUhR5Zuicp4usXfeOMN6RYPZU89BWeeqYYvhd/Y7zds/XrYtQv69TO7kpAhYS2qInuLiyP69YODB2HFCtNK0A24rM5+3eNz5oDTCaefbnYlQU+6wUV1pFtcVHDqqWr/8Tlz4PCGWoEWCt3j9gvtuXPVmsC4OLMrCThd1zl0qISS0jLCw8OIj4tC04z/IZOwFt7wdrZ4YXkxRa5SnJqDuPB6ODX7dfAJL0RGqglpc+fC+PFmVxO07BfaZ50VUqfJHCoo4fufVvH7ks2sWb+TvPziI1+Ljo6gXesUenZrwXmDutAgKdan55KwFt6qbrZ4qauMeXtXMH/vStbkZZJTknvkaxGOMDJi0+haP4Pz0k4lvZ6c0BdUzjnH3PlGvvZx26B/3H6hPXas2RUERGFRKW+8+yszv15GWbma2HH8coSiolKWr8xixd/beeO9X+l/RnvGje5f6/CWsBa1UVW3uMvt4pOsX3hv208cKi/CgYb7uFfBUnc5a/IyWZ+/nQ8z53ByYhtub3sxzWJSAv1tCH+YMEFdZvGxexzpHjfYhg2Qna1mKPqhW9gq/lqVxaNPfUXO/kO43TW/9fPcZs78tSz6YxP/um0wA85oX+P9JKxFXVTWLZ5ZsIdH/36XDYd2HLnd8YF9LJfuBuCvg5u4YfEzjM4YwmXp/fwy3CMCTNfV+drRgX8dkR3RrOatt+D111VwB6n5CzcwafJMdF33KrCP5XbrFBaV8tCUWeTk5HPZxb0qvZ2EtairyrrF1+dvZ/yyqRSXl9b68Tzh/fLGr9hemMOd7f6BQ8a87a1XL9WwevZZsysJSvYK7SVL1NalQfpufPnKTCY9/gWuWob1sTzvFF98bQ5xsVEMOefoRgcS1sIXlXWLZxft4/+WTaWovKTalrU3vspeRGxYNDe1vsCIcoVZMjLUa7UJZPa4leg6LF0KN99sdiV+UVhYwiNPfVVp98yu7UtYv+ITuve5lbj6TU/4+qo/plNwaDen9q84lvTsS7Pp1iWdgkM5EtbCZ8d3i7t1N5NXv0+Rq7TKwN753d+se6ryiUlNh/eg9ZizKnzuw8w5nNqgPd0SWxtevwiQHj3gkUfMOTxE13wbl5bQNlBWFuTkBO0hIa+89Qv7DxTgNnBQpbzcxbVjnuOnrx6TsBY+qaxb/KvsRazK3erV/dvddS71miVW+FxkgxMnTDrQmLz6A97pPZEIh31ensQxevSAQ4fURljta55bI2rHPr8V+/erH4YgDO3cvCK+/O6vWo9h18Tt1il2x3DFrQ9y/rVXSViLOqmsW9ytu3lv609eP0ZMywbEt2tc4+3c6OwpOcgve1YwsPHJda5ZmOjkw//fli8PeGjLRDQr6dbNtHESf/vux5W4XG6/PLbm0EhI6iiBLeqsstnif+xfx56Sg355PgcaM7b/KqFtV4mJsGMHpKYG/rlDYJ22faZp7t2rxkiC0ILFm7x6h6fjRne7TriqvY9bZ9Oq7QZVKkJNVXuL/75vTe12NnPruF3uCleVN0Vndd42DpUV+VK6MFNaWtBOGDabfVrap5wCl18OU6aYXYmhdF1n3cbdXt12+YIXq/xaZHRilV8rOlRMQV4RMfHS2hbeq25v8TW5mUeWa3njz1s+OOFzZ/5wBw5n1cG/Pn87Jye18b5gYR2ffgovvww//hjQp5XZ41ZRXAzbtkGb4PsF3rf/EEVF3q1vbdf1curFNDrh85vWfElJcW4l9zhq/+5cCW1RK9XtLb6tcE+tHqv9hMHUa5ZU4XPVBbYGbCvcLaFtV2Vl8NNPkJsb+Ba3Dbq4fWGP0N6yRc0QaNvW7EoMV1Ja7vVt68U0qnTJV1hYFCVUH9rlZd4/jxDV7S0OUOouq9Xj1WuW5NVENA8NB8Wu2m/WIiyiXTv15/r1R/8uDGGPMe2NG9WfQRjaYU5nQJ6nulaNEMfy5sjNMM2/P7c6OuGy5Mu+PL2i69YF9Gk93eO+XFZnj9+KrVshPh4andg1bHcNkmIIC3NQXu7fSXYJDULvKFNRN94cuZkSlUhmLbvIa0NHJzUqqeYbCmuKi1Ozx9evD+zzyuxxi7jlFjWmHYSzEcPCnLRq7t/jCcMjw0ioZCMLIY5X1Wzx43WMb+73c7Hbxqf79fGFn73yClxxRYCfVDPgsjZ7hLamQf36ZlfhNz26Ncfh8M8Pi+bQaNq6sZyeJGrkTbe4R9fEjFrNHq+txlGJJEfE++3xRQBccAF07Gh2FUHHHqE9ZAh8/LHZVfjNhUO6VrsbWuOmPTnzvCcqnYQG0LnXdSfsO+6hu3VO6hN8cwGE8Tzd4m+88UaV3eIe/Rp1pZ4zssbHTB3ciX4/ja/lJDSNi5v2lTeadrd6NUyaFNhtxnQDLouzR2gvWACu6jcRsbMmqYmc2rMVToNb25qmkdAglubt0gx9XBF8vO0W94hyRjCsSR8cfuhOjHCEcW5q5cfKChvZuBEefhh27gzcc0poW0izZmZX4Fd3jh2IM8zYGbm6rnPOFX3Q/NT1LoJDbbrFjzWixTkkRyYYHtzj2gwjITzG0McUJvC8Zmdnm1tHkLFPaKcFd2sxtXF9bv3nAAMfUaf7WR1okpFi4GOKYFSbbvFjRYdFMrHjlYY1Thxo9ExsywVppxn0iMJUnr3Hd3u346MhPEdz+nJZnH1C24zN5wNs6JBuXHOZES9YOnt3ruRATnAesCKMU9tu8eN1S2zNhA6+zxB2oNE6rgkPdhklY9nBomFDcDph166APaXnlC9fLquzxzrtN96AqCizqwiI0SPPICE+mpffmAuAqxbHdTocGm63ziUX9mDn1oM88cTDaBoMvd77Lk8ROuraLX68Qak9iXJGMGXNh5S6ynBR+1nlpzbowL87XU29sND4PQ8JDgeMHh30Q5uBZo/Q/sc/zK4gYDRN47KLe9Gzewsef/ZrNmzag9OhVRvenrBumBzHhDuGcHLX5uj62WgaTJnyMCDBLU7kzSYq3jqz0Ul0TGjOM2s/ZdG+1Tg1R7VLwjQ0dHRiw6K4re0lDEw5WVrYwejllyEvL3DPFwKbq9gjtL/5xoRF+uZq1aIhrz4/ihV/b+fzr/7k9yVbKj1YJCLcyUmd07nkgu6c2iuDsMPblWqaxuOPPw5IcIsT1bS3eF0kRyYwuesNbDqUzawdC5i7+y/yygtPuJ1Tc9AmrinDmvSmf6PuRDrDDXl+YUF798L2AB4N7Ou4tA3GtO0R2l98EXKhDSp4u3ZOp2vndHRdJ3vXQbZl7aOkpJzwMCdN0hJp1jQJZxX7iktwi8oY1S1elYzYNO5sdyl3truUnJJcNh/ayd8b1nD3v+7mtWdfYkjP/kTIvuKh4f77YeFCs6sIKvb4zWns/cYMwUrTNJqkJtIktepzs6u6nwS3OJaR3eI1SY5MIDkygbBtheT8tpH0sAYS2KEkNTWg67Q1XV2+3N/q7PHbI6HtEwlu4eGPbnEhqpSaqrrIA0XGtC0iiPcdDxQJbuHvbnEhTpBYu55Bn8mYtkVkZJhdQVCQ4A5tgewWFwJQRypHRUFxsdmVBA17hPapp5pdQdCQ4A5N0i0uTHHuuWpHtISEwDyfdI9bRFmZ2RUEFQnu0CLd4iJkSGhbxIYN0KCB2VUEFQnu0CHd4sI02dkwaJDZVQQVe4R2jJz44w8S3MFPusWFqcLD4e+/A/d80tK2iLg4sysIWhLcwUu6xYXpYmMD+3wye9wiAv0/PsRIcAcn6RYXpouKUgeHuGt/iIyonD1COyLC7AqCngR3cJFucWEJmqZ6SnNzA/N0IbAjWkDefr/00ku0bNmSqKgoevTowfz58wPxtKKWPME9YcIE3nryYWa98bLZJYk6kG5xYSmvvhq459INuOogkBnn99D+6KOPuOOOO7jvvvtYtmwZZ5xxBkOGDCEzM9PfTy3qQILb/jzd4m+88YZ0iwvznXuu2RX4VaAzzu+/0c8++yw33HADo0ePpkOHDvznP/8hPT2dqVOn+vupRR1JcNuXp1v8ySeflG5xYQ2vv252BX4V6Izz65h2aWkpS5cuZcKECRU+P2jQIBYsWHDC7UtKSigpKTnycV4gD08XFcgYt/1It7iwpGeeCdhTafg4pn34z+OzJzIyksjIyBNuX9uMM4JfQzsnJweXy0VKSkqFz6ekpLBr164Tbj958mQeeughf5YkakGC215ktriwpED+LBq05Cs9Pb3CpydNmsSDDz54ws1rm3FGCMjscU2r+I+o6/oJnwOYOHEi48ePP/JxXl7eCf94IrAkuO1BZosLy7Lhcq+srCzi4+OPfFxZK/tY3macEfwa2snJyTidzhPecezZs+eEdyZQdReEMJcEt7VJt7iwtECGtkE7osXHx1cI7arUNuOM4Nd+i4iICHr06MHs2bMrfH727Nn06dPHn08tDCaT06xLZosLSxs4MHDPFeAlX2ZknN+7x8ePH8+IESPo2bMnvXv35pVXXiEzM1NaBDYkLW7rkW5xYXkvvADvvGN2FX4T6Izze2hffvnl7Nu3j4cffpidO3fSuXNnvvnmG5o3b+7vpxZ+IMFtHdItLmxhx46APZUZO6IFOuMCMhHt5ptv5uabb677AxyzDEyYT4LbGmS2uLA8XYfOnQP4fJhyypfPGVcL9th7vKAAGjY0uwpxDAluc0m3uLCF4mJbzh63MnuEdn6+2RWISkhwm0O6xYVtBPq1W87TtohDh8yuQFRBgjvwpFtc2EaAQzsUTvmyR2jL0ZyWJsEdONItLmxFGlyGs0dot2ljdgWiBhLc/ifd4sJ2TjoJdu8GP200cgKDtjG1MnuEtswetwUJbv+SbnFhO5oGUVGBez4Z07aITz+FsWPNrkJ4QYLbP6RbXNjSjz9CAA+BkjFtqzh40OwKRC1IcBtLusWFbW3aBL/9ZnYVQcUeoe2nI86E/0hwG0e6xYVt7dwJjRqpce1AkO5xi5DQtqW6BHdpaRm7dx8gN68At1snPDyMhskJJCXFBVVg5RcXsePgAbbmHSTu5J4s3buPJvmHSImLrXA76Ra3vjJ3GdlFmWxiDR0ubMVm1tCwMInUqKaEOezxEus3O3dC48YBDW2furgltA0ioW1b3gR3aWkZf6/exp9/bmDP3oOVPk5YmJM2rZvQ4+Q2NG3a0G9n1frTgcICft+yiSXbNpNfUnzk8ynDr+LJZat4ctkqGtSL5uIuHbmy+0kkOp3SLW5R5e5yVuQu4Ze9s9lyaD1u1K5fZz94GvP4hnlrv8GBkzZxHTir4SA6JXTHoQXPm06vZWcHbuZ4iLBHaH/yidkVCB9UFdy6rrNy1RZm/7iU0tLyah+jvNzFunVZrFmbSZO0Bpx//mk0SKr5vFsrKC0v5/vVK/ht03rQNHS96rfz+wqLmL74T17/fSlp+QfZl5fHHDly01LW5q3k3W3TyC07gIaGXkXzzI2LDfmrWZe/iuSIRoxoMZZWsW0DXK3J7rxTbUP9ww+BeT7pHreIQC4ZEH5xfHC73FCW0J5Nm3d6/Rjuw2GXvXM/r7/xLYPO6Um3rhl+qdcoO3MP8tai+RwsLFCvB9UEtofr8G22x8TT+p77KYiu598ihVdcuovPst5hfs5sNFRPT1WB7eFpge8rzeG59Q8xKGUY56ddGjqt7gEDIC8vcM8XAqFtj5+cCy6AwkKzqxA+8gT3v+6eyNJ1eWzanF2nx9F1HZfLzbffLWbxH2sNrtI42QcPMPWXHzlYVFin1wLN4aAQjave+5jl2d6/uRHGc+ku3tzyAvNzZgM1h/Xx9MPh/cPumXyU+Ua1vS1Bw+WC555TM8iFYewR2vPnqwkNIigUp/QgJrkp4Pu49E8/L2Pd+izfizLYoZJiXv1tDqUul08v0G5dp6TcxfUffc6ufNkS0iyzdnzI8oOLDXmsBfvm8MPuWYY8lqXt3Qvjx8O6dQF7Ss86bV8uq7NH9zio0M6wdleoqNms+atYtGob1QV24f5s9qyeT/6uTZQW5gIQUa8+camtadjuNGKS0yvc/ptvF5PetBH16kX6s/RambF8CcVlZZUGdt7Sxez59MMKn3PExBDRqDGJZ/QjpkOnCl9z6zqFpWXc+80PvH7ZxbachGdnmw6t4+c933h12zWzNvPTQ4sY/s65pHRsUOXtvsn+lC4J3UmLbmZUmdbjaWjJRDRD2aOlDbBtm9kVCB8dKizhmQ/mVnubvWsXsmbWcxzam0mjjmfQZuANtBk4mpROZ1B8cBdrvvwPxXk5Fe5TUlLGvF/+8mPltbNu905WZW8/MgZflUaXXkHTsbfRZMxtNLp4OJrDwc63X6dgzd8n3Nal68zfso0f1m/0V9miErqu8/62V9H88FL5Qebrhj+mpWRmqj+bNDG3jiBjj5Z2w4awYYPZVQgffb1gNcUlZVV+PX/3FrYt+oyEph3I6D8Kh/Poj2d8WhsadejL/i1/4QgLr3A/zyz0fv26ER1l/olwv21aj0PTagztiJRUopoe7TWo17Y9Wx7+N/l//XlCaxvAoWm8+ccyzm0nB+gEyvr8v9lTYvzQnBs3Wws2klW4lfR6LQx/fEtYvx5iYwPb0paJaBYxZQoMHWp2FcJHn/y8vNph7F0rfkLTHDTvM7xCYB8rqWVXIuolnPB5l8vN339vNaZQHxwsLGDd7p01BnZltLBwcDrRHM5Kv+7WdZZs38Hmfft9LVN46decn3D46WXSgYMFOT/75bEtoXFjuPpqdWhIgITCmLY9QvvSS+Hkk82uQvjg4KEitu06UOWKJ93tJn/nRuo1aEpEvdqvv9Y0yMza42OVvtu6L6fmG3m43eguF7rLRXnuQXK++gK9tJTYbtX/rC/ZvsPHKoU3dF1nQ/7qI8u2jObGzbr8E4dCgsaIEfDyy4F/Xt2Hywbs0T2+aRP8/LOaiSiTcGxp3bbqA7W8pAC3q4zI2MQTvqa73VT4jdIcJ0zG0nXIzq5FYPrJ9oP7veoaB9g+9fkKH2thYTQcegkxbdtXeZ8wh4NVu/ZwWVefSxU1yC07QIHLvzP2c0p2U+IqJtIZhHtRrFsHsvWu4ewR2mvXwr/+BVddBampZlcj6mDH3tw633f1l89RtP/omu6mPS+gcZf+J9wuP78IXddNnV19oLDA667xRsOvIqKRGu9zFRyiYPVK9s76HN3tpn6fMyq9T7nbTdbBuv9bCu/tL93r9+fQ0TlQuo/G0UE2WSs3F9q3h/feU/tsBEoIjGnbI7Rbt1Z/rl8voW1T5S43mlb1hmBhkTE4nOGUHDpwwtdanXU17vIyygrz2PjTG9U+j9mh7XJ735Ua0SilwkS0mHYdKD9wgH3ffUVc9544o6MrvV+py+VznaJmLj0w/86Bep6A8kwcbtcuoE8bCudp22NMu0ULcDhUaAtbio4Mr3YHT83hIC61NYX7tlNaWHHbw+j6jYlJTic6sfo3bA6HZvoe3RFhYT5tGRORmoZeVkZZTuXDCRoQE2H+DPlQEOEIzLr/CKd19hcwjOe1uo2sdDCaPUI7MlIFdwB31hHGatWk6o0mPBqfdDa67iZzwae43bVvfVjhAJGUuASf5l2UZKtJZs6Y2Eq/7nQ4aJtc87+l8F1KVJrfnyNMC6dBREO/P0/ArVunZo/HB/h30pdJaDaZjGaP7nGA4cOhVSuzqxB11KZpMk6Hhstd9W9FXEpLmp12CVmLZrBm5rMktzuN6PqNQdMoK8rj4NaVADgjTpy043BopKUl+61+bzVNTPJ629LS3Tvh8JsTV2Ehh/5eQdHG9cR06kJ4UuXBXO5206lxI8PqFVWLckaTHNGInFL/rUpoEt0sOA8P2bsXOnQI+NOGQve4fUJ7yhSzKxA+iAgP45SOzfl99Tbc1QR3o/Z9iG3Ugt2rf2H3379QVqS6yiPq1Se2UQvanjuG+LQTu9zcbp3Wrf3fMqpJywYNiXA6vRp3PnYrU0dUFGGJDUg+fxgJp51e5X3CnQ76tAjirS8tpmv9XszZ861fln1paJxUv4fhj2sJL70EpaVmVxGU7BPaLhesWQPNmgW+y0UY4rKzu7Fw1dYab1cvKY2Wfa+o1WPHxkbTOsP80I4IC6Nn81Ys2rKxylnk8T1OIb7HKbV+bKemMaxjBxLkqNqAOb3h2fy052uvb99haCs6DPWuR1DDQe8G/epYmYXpuhoiMmPuRQjMHrdPv8zOndCli1qvLWypd5cWtEprgMNh/Ozu3qd1NH0SmkffjLZ+mcGuA9efIpsMBVLDyBS61T/F8F3RNDR6J/cjLvzE3f1s78cf1frsXbsC/9whMKZtjVc5bzRpAo0awdKlZlci6sjpcPDQjYMN/cXQNI20tAac3L21cQ/qowaxcZzb8SRDH1MDbjn9NNo0NH/cPtQMT7/W0M1PNDTiwhMY1qR2vUm2sWQJ7NunXq+F4ewT2poGPXtKaNtc++YpjLu0ryGPpWkaERFhXHhBb8u0sj3OaN2WtOh6h3dz843udpMRH8uY3r0MqEzUVnx4Alc2vRFd1306G91Dw8G1LcYR7axnQHUWtHSp2nbahN9J2Xvcanr0UO/iDPjFEeYZMbgn119wqk+P4Qnsq64YQFJinEGVGWfr6lUsf/R+wvfl4MtogEPTiMjLZcGk+1iyeLFxBQqvlZeXM3ns08x5aDHa4f/qQsOBAyc3tLqNNnEdDa7SQpYuVa/VZpDucYvp2RNiYuDgQbMrET7QNI2xl5zO/dcNIjoynLr8pjRunMi1I8+lceMk4wv00ea/V/Dw9VfQrmVL5t77L64+uRugAthbnqAfflIn5t59J906duDcc89l4cKFfqhYVKW8vJyrrrqKGTNm8PgNzzCuzQTiwuJrfb62hkZiRANub/tvTqrf00/VWsC+fbB1q3qtNkMIhLZ9Zo8DXHihHNEZRIae0ZmWDaO5ZNyj1G/eGU1zVNn9qGkauq5Tr14kvU/rSM8ebS3XJQ5HA7t927bMnv0DCQkJPHBOfwa3a8PjP83j7917CHM4KK+i29zztTbJyUwYcCZ9WzYH4Ouvv+b888/n3HPP5fvvv6d3796B/LZC0rGB/emnnzJs2DAA/t3pab7O/oTfcuZQrpejofYQP56Gho5OhCOSMxsOYkjqxQHbZc009evDypVqDpLwC3uFtqelUlQEVezLLOzl9Zf/x84/Pmf8/bezaWsOmZl72LlrH8XFZUduk5gYS1paMm1aN6Ftm6Y4ndYLa6g8sD1OadaUL667mlW7djNz1RqW7djJmj17j6znDnc6aN+wId2apDKsUwdOSk2pMAM9NjZWgjuAqgpsgGhnPS5NH8X5acNZvO9X1uf/zdaCDeSVHz3IpX54Ei1iWtM+vgs9E/sE5ylelXE6oXNn055eNlexov/7P5g/H2R8z/Z27tzJtGnTGDZ6HCmpKaSkptCndyd0Xae83IXbrRMW5rRsSB+rusA+VufGKXRurE72cus6xWXl6OhEh4fX2H0uwR0Y1QX2saKd9Tir0SDOajQIgDJ3GeV6GeFaBGEO+720GuLmm+G002DkSHOeX9ZpW1D79mqiQ15ezbcVlvbEE0/gDI/g/JGjK3xe0zTCw8OIjAwPqsA+nkPTqBcRTkxEhNfj3Z7g7t69u4xx+4G3gV2ZcEc40c56oRvYxcXwxhtw4MST+oRxrP+KeLx+/cDtVq1tYVueVvYFo24kJt6+G0zUNbB9IcHtH74EtgAWLYKSEvUabRJZ8mVFrVurSQ5z55pdifBBVa1sOzEjsD0kuI0lgW2AOXMgKUntXGmWEJg9br/Q1jT1Tk7GtG0rGFrZZga2hwS3MSSwDTJ3Lpx1limbqoQSew6+/Pe/cmiIjdm9lW2FwPaQyWm+kcA20COPQHi4uTXIRDSLSkqCMHu+3wh1dm9lWymwPaTFXTcS2AY780ww+Q2jZsBldfYMbYArr4R77zW7ClFLdm5lWzGwPSS4a0cC22DvvQfTppldRUiwb2jXqwczZphdhagFO7eyrRzYHhLc3pHA9oNnn1UT0cwmE9EsbOhQWLsW1q83uxLhJbu2su0Q2B4S3NWTwPaD7dvhzz/BAv+WsuTLygYOhKgo+PJLsysRXrBrK9tOge0hwV05CWw/+fJLNcdo8GCzK5GWtqXFxKjg/vprsysRXrBjK9uOge0hwV2RBLYfzZqlJqElJppdSUjwa2g/9thj9OnTh3r16lG/fn3jn+B//4OZM41/XGEoO7ay7RzYHhLcigS2n40dC/fcY3YVRwVxKxv8HNqlpaUMHz6csWPH+ucJWrSAuDj/PLYwjN1a2cEQ2B6hHtwS2AEwdCgMGmR2FYCMafvsoYce4s4776SLP7e1e+ABGG2PMAhFdmtlB1Nge4RqcEtgB8DUqfDtt2ZXEVIsNaZdUlJCXl5ehatGERHw8cdqo3phOXZqZQdjYHuEWnBLYAeAy6UaTVY6vEkmogXW5MmTSUhIOHKlp6fXfKehQyE/H376yf8FilqxUys7mAPbI1SCWwI7QH79FXJy1GuwRUj3eCUefPBBNE2r9lqyZEmdipk4cSK5ublHrqysrJrv1KULdOigduQRlmKXVnYoBLZHsAe3BHYAvfeemld06qlmVxJSar2B9y233MIVV1xR7W1atGhRp2IiIyOJjIys3Z00Da65BiZPVoewR0XV6bmFsTyt7GGjx1m6lR1Kge0RrIeMSGAHUHGxGpa85Rb1GmwVvnZx+7Gl/dhjj/H111+zfPlyIiIiOHjwYJ0ep9ahnZycTHJycp2ezG/++U8YMUIC20Ls0MoOxcD2CLbglsAOMF2HKVPUXhkW4msXtz+7xz2rqXr37s3rr79e58fx61FZmZmZ7N+/n8zMTFwuF8uXLwegdevWxMbGGvdEnjcRum6td30hyg6t7FAObI9gCW4JbBNER8OYMWZXYSsPPfQQAG+++aZPj+PXiWgPPPAA3bt3Z9KkSRw6dIju3bvTvXv3Oo95V+v336FVK9i92/jHFrVi9Va2BPZRdh/jlsA2wcGDcPPN4M2co0AzaPb48auYSiy0Osmvof3mm2+i6/oJV79+/Yx/sjZtYMcO+PBD4x9beM3qM8YlsE9k1+CWwDbJp5+qYzjD/NpRWzcGhXZ6enqFlUyTJ08O7PdRDUst+fJJUhKcd57MIjeZlVvZEthVs1twS2Cb6N134eyzITXV7EpOYNSSr6ysrAormSZOnFjp8/lzNVVVLPhWyQfXXAPDh8O6ddCundnVhBwrj2VLYNfMLmPcEtgmysyEefPgrbfMrsSv4uPjiY+Pr/F2/lxNVZXgCu0LLlAt7i++sNYG9iHCqq1sCWzvWT24JbBN9tprEBsLF19sdiWVC/CSLzNWUwVXaEdFwbJl4M1OasJQVm1lS2DXnlWDWwLbAkaNgm7dLHtQk6braHrdU9uX+9bEqNVUwTOm7dGsmVr25c2+5cIwVmxlS2DXndXGuCWwLSIjAy65xOwqbMmo1VTBF9oA//d/aqKECAgrzhiXwPadVYJbAtsiRo60/uocg2aP+4NRq6mCM7T794clS+CPP8yuJCRYrZUtgW0cs4NbAtsi/v4b3nnH8ptXyYEhdjVkCDRvDi+9ZHYlQc9qrWwJbOOZFdwS2BYydSqkpFh3AloICc7QdjrVFnsffgj79pldTVCzUitbAtt/Ah3cEtgWkp8Pb78NN94IERFmV1M9C3ePGyU4Qxvg+ushMRFWrTK7kqBlpVa2BLb/1Sa4y9wu/ti1nemrlnLP/O95ZstKGtxwBe/s2MjXW9axqyC/yvtKYFvMjBlQUKAOZrK4UOgeD64lX8dq1Ejtjet0ml1J0LJKK1sCO3BqWg6WU1TAO6uX886aZewrLkIDnJoDl+6mXq+uzNydyee7t6EBZzVtyXWdenBW0xZoh8dKJbAt6Jpr4KSTZCmtRQRvSxtUYO/dC4fXwwnjWKWVLYEdeJW1uHVdZ8bG1Zz18Wv8d/lC9hUXAaq3sVx3owOa04nrcP+jDszfsZVR33/KjbO/YG9hgQS2FRUUgMOh1mbbQQh0jwdvS9vjpptg/XpYsUL98AlDWKGVLYFtngot7iFDGPrqf5ifuxcN71/3XIc3svg5axMDPn2d9PnLmC2BbR26rlbiDBigzs62ASufp22U4E+x8ePVcoWvvjK7kqBhhVa2BLb5YmNjmfXllzS55Tp+ObAHqFtDxaXr5BUXs7J7a5754F0JbKv46Se1bLZ/f7Mr8V4ItLSDP7T79lXX5MnqnaPwmdmtbAls6/hgyxoKW6ShOXxcv+vQcEZE8FZJDnml1jm7OKRNngzdu8OgQWZXIo4R/N3jABMnwvnnq9Np/HGWdwgxe49xCWzr2HBgH08t/bXKrx/6bQn73/y4yq83+tdNRLXLOPKxDuwvLuKRRT/z1JlDjCxV1NbixfDzz/Dxx5bfUOV4duji9kVohPaQIXDrrWoJmPCJma1sCWxrmfLHPHQveq+Srr2M8MYNT/h8eFrKCZ9z6zofr1/FDZ170j7pxPuIAFm3Dnr0sN8+47ruW4+qDXpjQyO0NQ3++1+zq7A9M1vZEtjWsuNQHj9lbvJqCDC8SQqRLbxfLuTUNN5ds5xHTz+n7gUK34wYAVdfLZN3LSi0/o/8+CNMmGB2FbZlVitbAtt6Zm5ac2RttdFcus6nG1bhcrv98viiBp98ok5JtGFgh8LmKvb7v+KL3bvhiSdgwQKzK7Eds2aMS2Bb07Ld2d7f2K2ju1wVrxoCuai8nE25+32sUtTa8uVw2WUquO0oBGaPh0b3uMeVV8KTT6rW9rx5tptgYSYzWtkS2Na1fO9O3F6O/+2e/MKJn3Q4aDat+rW/q3J20zYxuS7libqaOBHatoVRo8yuRFQhtELb4VDLGM4/H779Fs47z+yKbMGMsWwJbGs7UFLk9W0bXH85YamNKnyupq51h6aRU1RYp9pEHc2dC999p1rZYfaMBs2tLl/ub3X2/D/jiyFD4Mwz1cQ0CW2vBLqVLYEdXMJSG9VqIhpweGc1G/RVBgtdVz2QPXvCP/5hdjV152sXtw1+5EIvtDVNHeaeLN1u3gh0K1sC2x7iIyKP7C/uDy5dp35ktN8eXxxH0+Dxx6FePRk2tLjQmojm0ayZ+uHMyoIS2X2pOoFsZUtg20fn5Mb4+6W9U4NGNd9I+M7tVi3tAQPgtNPMrsYnMns8mO3bB+3bwyuvmF2JZQVyxrgEtr10b5iKw8sWWdmO3ZRs2nbC5co/VOV9wh1OmYQWKG++CWedFRwNGM/mKr5cFhd63eMeDRrA5ZfDww+rTQSSksyuyHIC1cqWwLafCzPa859l3i2drGor06SR/yD2jFNP+LxT07igVTsinE6fahReyM+H++9X5zNERppdjc9C4ZSv0A1tgMceg08/VT+0L75odjWWEqixbAls+9m2bRtPPf44JQkOIlq3QKtiE47Y03sSe3rPWj++S9cZ0aGbj1UKrzzyCBw4oJbCClsI3e5xgNRUeOghePllWLbM7GosJRCtbAlse9m2bRs33XQTbdq04fPPP+fqxq1wGLxrllPTGJDeipMbpRn6uKISq1fDc8/BvfdC8+ZmV2MM2VwlBNxyC2zZAvXrm12JZQSilS2BbR/btm3j8ccfZ/r06SQkJPDYY48xduxYYmNjSfp9Lq+tXILbgFc7DYgOC2fKGef6bYtUcYwNG6BbN/jXv8yuxDDSPR4KwsOPHiai67LcAf+3siWw7aG6sPb4vx59+WvvTv7YvcPrHdIqo6E2XHlxwFBS6sXWeHthgGHDYOhQec2zmdDuHj/W77+r5Q4HDphdian8PWNcAtv6ju8Gf+yxx9iyZQt33XVXhcAGiAoLY/q5/+DUxk3r/HxOTSPM4eDVgRfRL72lr+WLmhw6pLYrPXAg+AI7BGaPS2h7NG2qxngeeMDsSkzlz1a2BLa11SasjxUTHsG7Qy7jrp5n4NQ0nF4GgXb46pDUiG8uHsXA5q2N+UZE9R59FP7zH8jNNbsSw8k67VDSpAlMmgQvvaROuglB/mxlS2BbV13D+lhhDge3dDuN7y65lktadyL88AS1MK3iS4xT046s786on8TjfQcxc9g1siY7UNauhWefVS3tFi3MrkbUgYxpH+v229VGA6NHw8KFarw7hPirlS2BbU3ejFnXVtvEZJ4+awj/PrUf83ZsZWXOLtbs20tuaTHhDifpcQl0SU6hV0pTujZsLBPOAsnlUq9tzZrB3XebXY1/yN7jISY8HKZPh2uuge3boWXojK/5a8a4BLb1+COsj1c/KpphGR0YltHBsMcUPvrlF9UYmTMHoqLMrsYvZPZ4KOrVS41th9huTP5oZUtgW0sgwlpYWP/+aplXq1ZmVyJ8IGPalXE6YdMmuPlmKCszuxq/88dYtgS2dRgxZi1szOWCDz9UB4MEe2C7dd8vi5PQrsr+/eowkRDY3s/oVrYEtjVIWAsA/vc/uPLK0Nj1MQR2RJPQrkqvXmqyxkMPwapVZlfjN0a3siWwzSdhLY7YsEFtU3rbbdCjh9nV+J2Gj0u+zP4GvCChXZ1Jk6BNG7j22qDtJjeylS2BbS4Ja1GBywXXXQdpafD442ZXIwwiE9GqExmploANHKha2927m12RoYycMS6BbR6ZYCYq9dlnsGABzJsHMTFmVxMYvu5qZoMd0SS0a9KrF2zdComJZldiOKNa2RLY5pCwFtW69FK1vOuMM8yuJGBCYcmXdI97IzERCgrUaTh795pdjSGMGsuWwA486QYX1Tp4EH7+GRwOOOsss6sRBpOWtrdyc+Gtt9Qa7q++Ur8QNmZEK1sCO7CkZS1qpOtq17Off1Y9hPHxZlcUWCGwI5q9kyeQ0tLg7bfh22/V3r02ZkQrWwI7cKRlLbw2daoay37ttdALbEDTdZ8vq5PQro0hQ+Cuu9Rm+7//bnY1deZrK1sCOzAkrEWtLF8O48fDuHFwySVmVyP8xG+hvXXrVm644QZatmxJdHQ0GRkZTJo0idLSUn89ZWA89hj07Ak//WR2JXXiaytbAtv/JKxFndx3H3ToAE8/bXYl5nEbcFmc38a0165di9vtZtq0abRu3ZpVq1Zx4403UlBQwNN2/qEKD7f1hvu+tLIlsP1LxqyFTz74AA4csO1rkxF87eK2Q/e430J78ODBDB48+MjHrVq1Yt26dUydOtXeoQ1HfymmTVO/JBMmmFuPl3xZly2B7T8S1sIn774Lp5+uTiUMwXHsUBPQMe3c3FySkpKq/HpJSQl5eXkVLkvbtUuNb8+caXYlXqlrK1sC2z+kG1z47PvvYdQotbJFyN7jRtq0aRP/+9//GDNmTJW3mTx5MgkJCUeu9PT0QJVXN/ffD//4hzp/2+L7k9d1LFsC23gS1sIQ69fDFVfA4MHqtUgc3RHNl8viah3aDz74IJqmVXstWbKkwn2ys7MZPHgww4cPZ/Toqlt5EydOJDc398iVlZVV++8okBwO9Q43IwOGDoV9+8yuqEp1aWVLYBursrDeunWrhLWovdxc9ZqTkgLvv6+OExa+HRbi425qgVLrMe1bbrmFK664otrbtGjR4sjfs7Oz6d+/P7179+aVV16p9n6RkZFERkbWtiRzxcSo7vE77lAb9FtQXcayJbCNU9mY9c0330xMqOwHLYz3119w6JDaREV+N0NKrUM7OTmZ5ORkr267Y8cO+vfvT48ePZg+fToOm+8iVqXmzWHGDPX3vDzLTQapbStbAtsYEtbCb848EzZuDOmZ4pUKgQND/Jai2dnZ9OvXj/T0dJ5++mn27t3Lrl272LVrl7+e0nw5OdCxI7z8stmVHFHbsWwJbN9V1w0ugS188s47auJZebkEdiU0t++X1fltydcPP/zAxo0b2bhxI02bNq3wNd0G72bqJDlZ7UQ0bpza9nToULMrqlUrWwLbN9KyFn71ww9w/fUwcqSMYYcwv7W0r732WnRdr/QKas89p4L78svh119NLaU2rWwJ7LqTlrXwuz/+UK8r556r9ofQNLMrsqYQmD0up3wZzelUXVhDhsDw4bB5M0RHm1KKt61sCey6kZa1CIisLDjvPOjSBT7+GMLkZbtKcsqXqJOoKPjiC/j8c9MC29tWtgR27UnLWgRUWhrcfrs6ErhePbOrEXVg5Fkc8pbNXxISoHdvNWHk0Ufh1luhQYOAPb03rWwJ7NqRlrUIqNxcWLkS+vaFf//b7Gpswap7jxt5FoeEtr/t3AkvvQTffadOBgvAC7w367IlsL0nYS0CrrgYhg2DtWvVEJu0sL1j0SVfRp7FId3j/paeDt98o7Y5vfRSKCnx+1PW1MqWwPaOdIMLU5SVwVVXwe+/w2efSWAHqZrO4qiKhHYg9OypxrjnzFGT0/x4pnhNY9kS2DWTsBamKS9XZxl89RV88ok6vUt4T8e3s7QPN7SPP7iqxODGljdncVRFQjtQBg5UwZ2W5tc1ltW1siWwqydhLUy3ezcsWQIffQQXXGB2NbbjGdP25QJIT0+vcHjV5MmTK30+f57FURUZ0w6kwYPVBbBsGXTuDOHhhj18dWPZEthVkzFrYTqXCwoLoUkTWL0a7HYGg1Xo+Dimrf7Iysoi/pjtqKs6E8OfZ3FURULbDAcOQL9+qvX9wQcQEWHIw1bVypbArpyEtbCE8nK1NenWrTB/vgS2BcTHx1cI7aqYcRaHhLYZEhPhvffUWdyXXaa6wqr4RdV1nWU/r2LJd8tY98cmtq3OorS4jLBwJ2mtU2l/Smu6DehM8x5NKm1l2yWwS4rLmD9nDauWZ7J21Q5278zF7XYTFRVOy9YptOuURu8z29G+UxOfn0vCWlhGWZkaw/7sM/UGPlgPVQoUi84e95zF0axZsyNncXg0bty4Vo+l6RbeVzQvL4+EhARyc3O9etdjO998o7YmHDgQPv20wgEAbreb796Yw0dPzCB7026cYU5c5Sce/ekMd+Iqc+GMdrDZtY57f3qX+GS1HtwOgV1wqIQPps/nq8+XUFhQijPMgau84q79mgYOhwOXy02rNilcM/pM+vbvUOvnOj6s7777bglrYZ6yMrjySnW070cfqdeCIBSI13HPcwzocg9hzrr3VJS7Svh55ROG1/rmm29y3XXXVfq12kawhLbZfvgBxo5VM8ubNQNg55bdPHXdi6z8ZU2tH65+qxQGPjmCfA5aPrD/XLyZpx6cyYH9h3C7vfsx1DQNXdfpO6ADt91zHvUTaw5cCWthSV9/rYL6k08scbiQv0hoG0u6x802aBCsWaPGtQ8eZMPiDdx9xYsUHSqq08PlbtvLZ5c/y9qIP2nfybqB/fWMpTw/+Ws0h4buZWDD0XelC+atZf3qHTw1dRSpTRIrva10gwtLKixUa6/PPx/Wr4fmzc2uKGhYdUc0I8kAihUcnoiWedVN3DXkcQrzCk/oIvaW7nLjdrloW9SVZ/79vCUD+8dvVvD85K8BahXYx3K7dHL25vOvMW+xP+dQha/J0i1hWVu3Qvfu4Jk5LIFtrBA45UtC2yLKy8p5bFsKRbrT667iqmhoOBwOnh/9Cnn78w2q0BjZ2/fz3ONfGvJYbpfOvpx8nnv8S3Rdl7AW1rZiBfTpo2aLDxhgdjXCpiS0LeLjp2axZe1O3FR/Tm6mvoEf9U9ZqP9Q7e10t07+gQKm3vGmgVX6Rtd1nn5oJm5XzW9KsnOWMfuPSeQW7Kj2dm6Xzu+/buCay+6UsBbWNW8enHkmpKTAb79B69ZmVxScpKUtAqG4sISPnvzCq5+XbLYCUEAeufq+am/rdrn58b1f2LlltwFV+m7lskxW/ZWFy1W3rv+q6LpO1kYHjz76qIS1sB5dh8cegx49VHjXcomPqAUJbREIcz9aQGFezRPP8vT9HCKXZNQvvSfAq+NwOPh62mxfSzTErE/+wOk0/kdO0zSiwuszaMBwCWthHboO2dlqzeInn6glnhadkSzsQ0LbAuZ/uhDNUX23OMCOwyHdmi4k0IBdZOHSy6u9j9vlZs6HvxlRpk9c5W4W/LLO8Fa2h9Pp4Nc5a/3y2ELUWnExjBwJvXrBoUOQkCA7nQWCL4eFeC6Lk9C2gLWLN9Y4i9qlu9hNFvEkEqslkEYLXJSzm+01Pv6ezBwOHSwwqtw62bZlL+VlJ24OYxSXy83aVTX/Wwjhd9nZcNZZasOkp5+G2FizKwoZRh0YYmUS2iY7uDeXvH01z/Dew3bKKSONlgCkkI6TMK+6yAG2rMz0pUyfbd7o/3H1LRv3+P05hKjW4sXqKN4dO9Q+4ldeaXZFoUXGtIW/eTOWDbCDLThw0ph0AMK0MBrRlIPkUKjXHPqFeYU+1emrwoIStJpHAHxSVuaq8/p2IQzhckG7dup4zZ49za5GBCEJbZM5vJiYVagf4iA5JNMYHZ0yvZQyvZQU1OEZXk1IC/PfGd7ecDgcAXkT63D6+Z2BEMcrL4eXX1Z7iffuDT//LDPEzeLWfb8sTrYxNVlS4/o4HFq1G6pkswWAPexgDyeuW85mGxl6Z7RqmrLJTZJ8L9YHDRvF+f056ifGVPtvIIThtm9XXeALF0LbtmrTFPkZNI9FT/kykoS2ySKiImjaLo3MNZVvIqLrOjvZRjQxdKDHCV/PYSeZbCCHnTQkrdLHCI8Kp1l734+09EWb9pXXZhRN0ww5tlMIr335JVx7rdpHfO5c6NvX7IpECJDucQvoelYnnGGV/6/IYSclFNOEViRpjU64WtAeB44qu8gdDo32vVrjNLl7PCk5loYptV+jqtWwQ9yR22nQqWt6rR9fiDr5/Xd1Mtfpp8Py5RLYluHrJDTrt7QltC1g8A0DqpxAlc1WNByk0aLSr0dokTSkiQp3vfiEr7vdOhfcdI6R5dbZBZf08Lr72uUuA8Chef9mY+D5J9WpLiG8tu/wLoSnnKKO1pw5Exo0MLcmcZTMHheB0LZHBm17ZlQ6Ka2r1oeztUuI0KremKGLdipna/8gUouq8HlN04hLiqXvP04zvOa6GDy0O04vJ4oVFOUAGlGR9Wu8rdPpoG//DjRI9v+4uQhhH38MrVrBF1+orp3zzpPxaxFwEtoWcduLo4+cFW0UXde5dcrlRESGG/q4dZXYIJaRN/Wr9jZ5Bdlk7fmD7JxlNKzfzqsD7cPCndx420CDqhTiOAcPwnXXweWXw+DB0L+/2RWJqoTA7HEJbYto16s1V9xzkWFv3B0OjdPD9tDvgRvUNooWMfzqPrRpn1rlHuR/bfyIjdt/omH9dnRsOcyrxxxz5yBSUusbWKUQh61eDZ07w+efw+uvw4cfqi1JhTXpbt8vi5PZ4xYy6uHL2b4+m18/X+xTq9vhdJDRtQV3f/AE2u+/qW0UXS7IzYUkc5d+OcMcPPzsFdx+/Rvs25t/wl7kZ3S9s1aPd8mVp3LeRScbWaIQau11WBhkZKgJZxMnQrpMdBTmk5a2hTidTu774E7OvU51v3lziEhluvbrxFM/T6Jem5ZwzTXqk88/Dx06wIwZRpVbZw2S43j+9etp3rIhXk4Or8Bx+N/l6hvO4KY7BsnabGGsb75Ra65XrVKHfLz0kgS2XchENBFozjAn//faWB78/C7iEmNB826ui+bQiIiO4LYXRzPl+38TE1+v4g2uukrt1nTJJerv+6o/i9vfGjSM44W3RzPyxrNwOLQjQVwdz5uYhinxPDNtFKNu6i+BLYzjGbs+/3wV2vXrm12RqK0QGNPWdKNnPxkoLy+PhIQEcnNziQ/Bc2gL84v46b35fPG/b45svuJwOlR46fqRZWLJTZIYNm4w514/gMRG1Yy36Tq8/z7ceqvq+vvjD2jePBDfSrV27zzINzP+5KvPl5J/eC92p9MBGuhu/chuce06pnHRFadyxoAORETIyI4w0G+/wfDhUFAAzz4L118vM8MNEojXcc9zDEy7iTBH3Y9ALXeX8GP2NEtnjoS2TeRk72fD0s1sW72dsuIywiLCSGvdmLY9WtG4ZaPatTh37oTp09U4nabBli3QsqX/iveS262zPXMf69dks2dnLi6Xm6jocFpmNKJNhzQS6ter+UGEqI3CQrWj2Y4dcPfdMGWKdIUbTELbWBLaoW7ePLVf8tix8MgjkJhodkVC+F9eHjz4IHzyiRq7lhnhfhPQ0E69iTBHRJ0fp9xdyo87rR3aMqYd6vr0gaeegrffVkcKTp8ObusvexCiTnQd3n1X/axPmwbjxkFUVM33E/YgE9FE0AsPh/HjYd06GDRIjeVNnWp2VUL4x5gxMGIEnHEGrF0LEyaoGeJC2ITM5hFKaqpqgdx0E5x8eN3zxx9D9+7Qpo25tQnhiy1boKgIOnZUs8OHD4eBsoNeUHK7AR96Cm3QyygtbVHRGWdATIzaXOKBB9QL3dixkJ1tdmVC1M6ePXDbbaor/IEH1OdOO00CO5hJ97gIWWFh6sjBKVNUi7t1azXb3OUyuzIhqnfoEEyapA73ePtteOgheOsts6sSwhAS2qJqUVHwf/8Hmzerce9Nm8DpVO9Gi088BlQIU3laSaWl8MorcPPN6md34kTVeySCn7S0hUAth3n0UfjoI/XxzJnQogU88YRaOiOEmQ4dUhuidOmidvpLSlLj2E8+afpe+yLAQmBHNAlt4T3PBi4nnaQOUXjgAWjWDO67T40fChFI+/aptdbNm8M990CvXkd7gGQZlwhSEtqi9lq1Ut2PmzfD6NHqMJIPPlBfs0H3kggS11+vWtPXXKOGbqZPhyZNzK5KmEjX3T5fVidLvkTdNWkCTz8N9957tGVzxx3q4IW774ZOncysTgSbdevURkCXXgqDB8Mzz6ihm4YNza5MWIXuYxe3DRodfm1pDx06lGbNmhEVFUVqaiojRowgW5YOBZ+kJLV/M0D79vDTT9C5s9oe9ZNPoKzM3PqEfZWXwxdfqI1/2reHr79W58KDWtEggS2OJRPRfNO/f38+/vhj1q1bx2effcamTZu49NJL/fmUwmxjx6pu8w8+UGF92WXqY1CzeoXwhufF8/XX4eKLIT9fLd/asgUuv9zc2oQwUUAPDJk1axYXXXQRJSUlhIeH13h7OTAkCGzerMbA3W61UUvnzmopTv/+cvShqEjX4ddf4aWXoHFjeO451aretOnoLn3CdgJ5YMjZcVcTpvlwYIheyk/571k6cwI2EW3//v2899579OnTx6vAFkGiVSv1Z3m5Osd7zRo4+2zo0AEmT4aSEnPrE+bLyVFj1V26wJlnwp9/qp8PUGPWEtjCW9I97rt77rmHmJgYGjRoQGZmJjNnzqzytiUlJeTl5VW4RJCIiFAnKq1aBXPnqhfi999Xnwf4/HM4cMDUEkUA5eaqHfdAhbZny9zZs9VBHv/8p6nlCWFVtQ7tBx98EE3Tqr2WLFly5PZ33XUXy5Yt44cffsDpdDJy5Eiq6pGfPHkyCQkJR650OYw++GganHWWCuy//lIf79qlxr4bN1bjl599JjuuBaPSUrUxz/DhkJICV16pPt++Pezdq7bLHThQhk1Enelut8+X1dV6TDsnJ4ecnJxqb9OiRQuiKtncYPv27aSnp7NgwQJ69+59wtdLSkooOaa7NC8vj/T0dEuPLwiD7Nqldlx7911YskRt2rJlCzgcqgtdjk+0J11XIbx5M/TsqXpTunVTa6uvuELWVYeAQI5pD4i+3Ocx7Z+LPrJ05tR6nXZycjLJycl1ejLP+4OSKsYxIyMjiZQX59DUuDHcfru61q2D1atVYOflQdOm0LcvXHihupo2NbtaUZ3sbPjqK5g1S81l+O47tWvZbbepNdadO5tdoRC25bcx7cWLF/PCCy+wfPlytm3bxpw5c7jqqqvIyMiotJUtxBHt2qluco9HHlGt7VtvhfR0OPXUo6eN2WDiSMhYvx5OOUW1nseOVXuCDxmivuZ0qi1HJbCFP4XA3uN+2xEtOjqazz//nEmTJlFQUEBqaiqDBw/mww8/lNa08F58/NEW+IEDqtXmOW2svFyNh3brBv36qatjR9VCF/6j62oVwNy5MGcO1K8Pr76qwrpVK9WiHjIEGjQwu1IRanQd8GFc2gaNAL+FdpcuXfj555/99fAiFCUmHp28BGqy2lVXqfAYP15t5pKcrEI9Pl6Nk6ekyMQmX+k6FBWpXe9++UVNJNuzR525fsop6qAOUMdffvihubUKEeRk73FhX7Gx8PDD6u+FhbBwoVpG5JlA0qeP2kmrZ0/o0UNdZ5999Ouicnv2qH/LpUvVtWQJXHQRTJsGGRlwww1qc5w+feScamEpultH1+reWg7gXmN1FtAd0WpLdkQTdabrag/0+fOPBs/u3bBihdrE49VXYds2FeTdu6vZ6qHWre52Q1aWeqOzdClccIFqOT/3nOq5aNjw6JudwYPVZEAhaimQs8f7Oy8hTKv75l3lehlzXJ9bOnOkpS2Ck6apNb8DB6qPdV3Nam7cWH28aRO8+SY89pj6ODISXnhBHTW6di0sWgRt26qrQQN7d7Hv368mia1fr9bDR0XBmDFqL++iInWbhg3V93rKKTBihJrl3bSpvb9vEXJCoaUtoS1Cg6ZVXBM8ZYraRjU7W7W+169X3egA8+apUPNITFRj5y+8oELu6achNRXS0tSfqanmjJ273Wo3sexs2LlTXZoG112n3qT07auWz+3bd/Q+PXuqyXr9+6tJfG3awEknVQzoOi7pFEL4n6VD2/OuR7YzFX4TFwenn64uUOvCr7wShg1TG4Js3KiuRo3U13bsgP/+V4XlsXbtguhouPFGFZQxMWrMPS5Otd779FHd0HPnqglcDoe60tPVY7rdRy+XC0aOVG8W3npLvYnIz1dLqAoK1MYk//wnfP+9ajkfq1s3+Mc/1N+7dlXh3KaNOsayVStVV17e0aVYHvn5fvjHFeLo63cgWrHlegnodZ89Xo71jxG29Ji2Zwc1IYQQ9paVlUVTP22MVFxcTMuWLdm1a5fPj9W4cWO2bNlS6a6eVmDp0Ha73WRnZxMXF4fmRdejZ9vTrKwsy04iMEIofJ+h8D2CfJ/BJBS+R6j996nrOvn5+aSlpeHw42TP4uJiSktLfX6ciIgIywY2WLx73OFw1OmdWXx8fFD/0niEwvcZCt8jyPcZTELhe4TafZ8JCQl+rgaioqIsHbZGCbE1LkIIIYR9SWgLIYQQNhFUoR0ZGcmkSZOCfm/zUPg+Q+F7BPk+g0kofI8QOt+nVVl6IpoQQgghjgqqlrYQQggRzCS0hRBCCJuQ0BZCCCFsQkJbCCGEsImgDe2hQ4fSrFkzoqKiSE1NZcSIEWRnZ5tdlqG2bt3KDTfcQMuWLYmOjiYjI4NJkyYZsiuQ1Tz22GP06dOHevXqUb9+fbPLMcRLL71Ey5YtiYqKokePHsyfP9/skgz3yy+/cOGFF5KWloamaXzxxRdml2S4yZMn06tXL+Li4mjUqBEXXXQR69atM7ssw02dOpWTTjrpyKYqvXv35ttvvzW7rJATtKHdv39/Pv74Y9atW8dnn33Gpk2buPTSS80uy1Br167F7XYzbdo0/v77b5577jlefvll7r33XrNLM1xpaSnDhw9n7NixZpdiiI8++og77riD++67j2XLlnHGGWcwZMgQMjMzzS7NUAUFBXTt2pUXXnjB7FL8Zt68eYwbN45FixYxe/ZsysvLGTRoEAUFBWaXZqimTZsyZcoUlixZwpIlSxgwYADDhg3j77//Nru00KKHiJkzZ+qapumlpaVml+JXTz75pN6yZUuzy/Cb6dOn6wkJCWaX4bNTTjlFHzNmTIXPtW/fXp8wYYJJFfkfoM+YMcPsMvxuz549OqDPmzfP7FL8LjExUX/ttdfMLiOkBG1L+1j79+/nvffeo0+fPoSHh5tdjl/l5uaSlJRkdhmiGqWlpSxdupRBgwZV+PygQYNYsGCBSVUJo+Tm5gIE9e+hy+Xiww8/pKCggN69e5tdTkgJ6tC+5557iImJoUGDBmRmZjJz5kyzS/KrTZs28b///Y8xY8aYXYqoRk5ODi6Xi5SUlAqfT0lJMeRoQWEeXdcZP348ffv2pXPnzmaXY7iVK1cSGxtLZGQkY8aMYcaMGXTs2NHsskKKrUL7wQcfRNO0aq8lS5Ycuf1dd93FsmXL+OGHH3A6nYwcOTIgB7H7qrbfJ0B2djaDBw9m+PDhjB492qTKa6cu32cwOf64WV3XvTqCVljXLbfcwooVK/jggw/MLsUv2rVrx/Lly1m0aBFjx45l1KhRrF692uyyQoqlj+Y83i233MIVV1xR7W1atGhx5O/JyckkJyfTtm1bOnToQHp6OosWLbJ8d05tv8/s7Gz69+9P7969eeWVV/xcnXFq+30Gi+TkZJxO5wmt6j179pzQ+hb2ceuttzJr1ix++eWXOh0pbAcRERG0bt0agJ49e/LHH3/w/PPPM23aNJMrCx22Cm1PCNeFp4VdUlJiZEl+UZvvc8eOHfTv358ePXowffp0vx4ybzRf/n/aWUREBD169GD27NlcfPHFRz4/e/Zshg0bZmJloi50XefWW29lxowZzJ07l5YtW5pdUsDoum6L19RgYqvQ9tbixYtZvHgxffv2JTExkc2bN/PAAw+QkZFh+VZ2bWRnZ9OvXz+aNWvG008/zd69e498rXHjxiZWZrzMzEz2799PZmYmLpeL5cuXA9C6dWtiY2PNLa4Oxo8fz4gRI+jZs+eRHpLMzMygm49w6NAhNm7ceOTjLVu2sHz5cpKSkmjWrJmJlRln3LhxvP/++8ycOZO4uLgjPSgJCQlER0ebXJ1x7r33XoYMGUJ6ejr5+fl8+OGHzJ07l++++87s0kKLmVPX/WXFihV6//799aSkJD0yMlJv0aKFPmbMGH379u1ml2ao6dOn60ClV7AZNWpUpd/nnDlzzC6tzl588UW9efPmekREhH7yyScH5RKhOXPmVPr/bdSoUWaXZpiqfgenT59udmmGuv7664/8vDZs2FA/++yz9R9++MHsskKOHM0phBBC2IR9BkCFEEKIECehLYQQQtiEhLYQQghhExLaQgghhE1IaAshhBA2IaEthBBC2ISEthBCCGETEtpCCCGETUhoCyGEEDYhoS2EEELYhIS2EEIIYRMS2kIIIYRN/D9lrkFJqxOYlgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] @@ -153,21 +153,20 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "K: 0.29\n", - "D: 0.75\n", - "C: 2.99\n", - "('D', 'K'): 0.75\n", - "('C', 'D'): 2.99\n", - "('C', 'K'): 2.99\n", - "[('B', 'A', 'G', 'H', 'D'), ('K', 'D', 'C')]\n", - "('K', 'D', 'C'): 2.99\n" + "K: 0.18\n", + "D: 0.65\n", + "C: 2.89\n", + "('D', 'K'): 0.65\n", + "('C', 'D'): 2.89\n", + "('C', 'K'): 2.89\n", + "('K', 'D', 'C'): 2.89\n" ] } ], @@ -195,24 +194,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 13, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", - " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,\n", - " 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", - " 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1,\n", - " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1])" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "myect = ECT(num_dirs = 100,num_thresh = 80)" ] @@ -226,20 +210,20 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", - " 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,\n", - " 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", + " 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,\n", + " 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1,\n", " -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1])" ] }, - "execution_count": 47, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -258,12 +242,12 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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dlTYAANB8NYtwZFmWEhMTdc0116hv37419gsPD9fixYuVlpamNWvWKDo6WiNGjNC2bdtqPCc5OVkOh8O1RUZGemIIAACgifDZx2qm6dOna+/evdqxY0et/aKjoxUdHe3aj4uL0+HDhzV//vwaH8UlJSUpMTHRte90OglIAAA0Yz4/czRjxgx99NFH2rp1qzp37lzv8wcPHqyDBw/WeNxutys4OLjSBgAAmi+fnTmyLEszZszQ2rVrlZGRoaioqAZdJycnR+Hh4W6uDgAA+CqfDUfTpk3TihUrtH79egUFBamwsFCS5HA4FBgYKOm3R2JHjhzRe++9J0lasGCBunXrpj59+qi0tFTLly9XWlqa0tLSvDYOAADQtPhsOFq0aJEkadiwYZXaly1bpnvvvVeSVFBQoPz8fNex0tJSzZo1S0eOHFFgYKD69OmjjRs3auzYsY1VNgAAaOJ8NhxZlnXePqmpqZX2Z8+erdmzZ3uoIgAA0Bz4/IJsAAAAdyIcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGnw1HycnJuuqqqxQUFKROnTrplltu0YEDB857XmZmpmJiYhQQEKDLLrtMKSkpjVAtAADwFT4bjjIzMzVt2jTt2rVL6enpKi8vV3x8vE6fPl3jOXl5eRo7dqyGDh2qnJwczZkzRw8//LDS0tIasXIAANCUtfR2AQ21efPmSvvLli1Tp06dtGfPHl177bXVnpOSkqIuXbpowYIFkqRevXopOztb8+fP18SJEz1dMpoZy7J0pqzC7df9tdT91/SFe/uC870+nnr9Alv5yWazeeTaAKry2XD0e8XFxZKkkJCQGvtkZWUpPj6+UtuoUaO0dOlSlZWVqVWrVlXOKSkpUUlJiWvf6XS6qWL4MsuydFtKlvYcOuHtUtwq9tn/9nYJPs1Tr19s13ZanRBHQAIaic8+VjNZlqXExERdc8016tu3b439CgsLFRoaWqktNDRU5eXlKioqqvac5ORkORwO1xYZGenW2uGbzpRVeDwYxXZtp8BWfh69h/TbrERs13Yev09zYr43jfH6ZR864ZFZSgDVaxYzR9OnT9fevXu1Y8eO8/b9/f+8LMuqtv2cpKQkJSYmuvadTicBCZVk/+UGtfZ3f4hprEcpNptNqxPi+OZbD+Z748nX79fSCmbzAC/w+XA0Y8YMffTRR9q2bZs6d+5ca9+wsDAVFhZWajt+/Lhatmyp9u3bV3uO3W6X3W53W71oflr7+6m1v29/KdlsNp8fgzfx+gHNi88+VrMsS9OnT9eaNWv02WefKSoq6rznxMXFKT09vVLbli1bFBsbW+16IwAAcPHx2XA0bdo0LV++XCtWrFBQUJAKCwtVWFioM2fOuPokJSXpnnvuce0nJCTo0KFDSkxM1P79+/XOO+9o6dKlmjVrljeGAAAAmiCfDUeLFi1ScXGxhg0bpvDwcNe2atUqV5+CggLl5+e79qOiorRp0yZlZGRowIAB+tvf/qbXX3+dH+MHAAAuPvuQ/NxC6tqkpqZWabvuuuv05ZdfeqAiAADQHPjszBEAAIAnEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAINPh6Nt27Zp3LhxioiIkM1m07p162rtn5GRIZvNVmX79ttvG6dgAADQ5LX0dgEX4vTp07ryyit13333aeLEiXU+78CBAwoODnbtd+zY0RPlAQAAH+TT4WjMmDEaM2ZMvc/r1KmTLrnkEvcXBAAAfJ5PP1ZrqIEDByo8PFwjRozQ1q1ba+1bUlIip9NZaQMAAM3XRRWOwsPDtXjxYqWlpWnNmjWKjo7WiBEjtG3bthrPSU5OlsPhcG2RkZGNWDEAAGhsPv1Yrb6io6MVHR3t2o+Li9Phw4c1f/58XXvttdWek5SUpMTERNe+0+kkIAEA0IxdVDNH1Rk8eLAOHjxY43G73a7g4OBKGwAAaL4u+nCUk5Oj8PBwb5cBAACaCJ9+rHbq1Cl99913rv28vDzl5uYqJCREXbp0UVJSko4cOaL33ntPkrRgwQJ169ZNffr0UWlpqZYvX660tDSlpaV5awgAAKCJ8elwlJ2dreHDh7v2z60Nmjx5slJTU1VQUKD8/HzX8dLSUs2aNUtHjhxRYGCg+vTpo40bN2rs2LGNXjsAAGiafDocDRs2TJZl1Xg8NTW10v7s2bM1e/ZsD1cFAAB82UW/5ggAAMBEOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADC0v5OSysjIVFhbq119/VceOHRUSEuKuugAAALyi3jNHp06d0ltvvaVhw4bJ4XCoW7du6t27tzp27KiuXbtqypQp2r17tydqBQAA8Lh6haNXX31V3bp109tvv63rr79ea9asUW5urg4cOKCsrCw99dRTKi8v18iRIzV69GgdPHjQU3UDAAB4RL0eq+3cuVNbt25Vv379qj1+9dVX6/7771dKSoqWLl2qzMxM9ejRwy2FAgAANIZ6haPVq1fXqZ/dbtdDDz3UoIIAAAC86YIWZJvKy8u1fft2BQQEqHfv3nI4HO66NAAAQKNxWzi67bbb1L59e61bt07BwcE6e/as+vXrp48//thdtwAAAPA4t4WjvLw8rVu3Tnv27FFubq5ee+01nThxwl2XBwAAaBRu+xDIwMBASZK/v79KS0v1yCOPKDMz012XBwAAaBRumzmaPn26fv75Z916662aNm2ahgwZou+//95dlwcAAGgU9Z45WrhwYbXtf/rTnxQSEqInnnhC/+///T/t27dP69evv+ACAQAAGlO9Z44ee+wxDRw4UHFxcTX2GT16tO69994LqQsAAMAr6j1z9Nxzz2nixIk6duxYtcdzcnJ09dVXX3BhdbFt2zaNGzdOERERstlsWrdu3XnPyczMVExMjAICAnTZZZcpJSXF84UCAACfUe9wNHPmTA0fPlwTJ05UeXl5pWPr16/X0KFDNWTIELcVWJvTp0/ryiuv1BtvvFGn/nl5eRo7dqyGDh2qnJwczZkzRw8//LDS0tI8XCkAAPAVDVqQvWTJEg0ZMkQzZszQokWLJEkvvfSS5syZo7/+9a+aO3euW4usyZgxYzRmzJg6909JSVGXLl20YMECSVKvXr2UnZ2t+fPna+LEiR6q8uJkWZbOlFV4uwyP+bW0+Y4NTRN/5yBJga38ZLPZvF1Gs9egcBQYGKg1a9boqquuUv/+/bVnzx598MEH+uCDD5p0yMjKylJ8fHyltlGjRmnp0qUqKytTq1atqpxTUlKikpIS177T6fR4nb7OsizdlpKlPYf4nCvAXWKf/W9vl4AmILZrO61OiCMgeVi9w9GDDz6omJgYDRw4UEuWLNFtt92mSy+9VDt27NCAAQM8UKL7FBYWKjQ0tFJbaGioysvLVVRUpPDw8CrnJCcn6+mnn26sEpuFM2UVF00wiu3aToGt/LxdBpqpwFZ+iu3aTtkXydcTzi/70AmdKatQa3+3fRIPqlHvV/ef//ynVq9erZMnT6ply5ay2Wzq27evtm/frtOnT2vAgAFq06aNJ2p1i9+nbcuyqm0/JykpSYmJia59p9OpyMhIzxXYzGT/5Qa19m++4YEpbniSzWbT6oS4Zv2IGnXza2kFs4eNqN7haNu2bZKkgwcPas+ePfryyy+1Z88ePfXUU/rll1/UokUL9ezZU/v27XN7sRcqLCxMhYWFldqOHz+uli1bqn379tWeY7fbZbfbG6O8Zqm1vx//wwEugM1m42sIaGQN/orr0aOHevTooTvvvNPVlpeXp+zsbOXk5LilOHeLi4vThg0bKrVt2bJFsbGx1a43AgAAFx+3/nckKipKUVFRuv3229152RqdOnVK3333nWs/Ly9Pubm5CgkJUZcuXZSUlKQjR47ovffekyQlJCTojTfeUGJioqZMmaKsrCwtXbpUK1eubJR6AQBA01evzznKz8+v18WPHDlSr/71lZ2drYEDB2rgwIGSpMTERA0cOND1UQIFBQWVao6KitKmTZuUkZGhAQMG6G9/+5tef/31Jv0TdgAAoHHVa+boqquu0s0336wpU6bU+CnYxcXF+vDDD/Xaa6/pz3/+s2bMmOGWQqszbNgw14Lq6qSmplZpu+666/Tll196rCYAAODb6hWO9u/fr+eff16jR49Wq1atFBsbq4iICAUEBOjEiRPat2+fvvnmG8XGxuqll16q1wc0AgAANAX1eqwWEhKi+fPn6+jRo0pJSVHPnj1VVFSkgwcPSpLuvvtu7dmzR//zP/9DMAIAAD6pQQuyAwICFBgYqFdffdXd9QAAAHhVvX/x7Dm33HKLHnnkkUq/WgMAAMDXNTgc7dixQ59++qliYmK0d+/eavscPXpU48ePb3BxAAAAja3B4Sg2NlY5OTkaMmSIBg0apFdeecV17OzZs9q3b5/mzp2rrKwstxQKAADQGC7oQyADAwP13HPPyd/fX4899phWrlzpCkYlJSXq2rWrkpOT3VUrAACAxzV45uitt95SRESEwsLClJqaqquuukotW7ZUTk6OHnzwQZ04cUJ5eXl64IEH3FkvAACARzU4HP3lL3/R+PHjtW/fPp08eVK7du1SVlaWXn75ZS1ZskSPPvqofv31V3fWCgAA4HENDkfDhg3TvHnzFB0dLZvN5mp/9NFH9cUXXyg7O1v9+/fX559/7pZCAQAAGkODw9Hq1asVGhpa7bF+/fpp9+7duummm3Tttdc2uDgAAIDGdkELsmtjt9u1YMEC3XjjjZ66BQAAgNs1eOaorkaOHOnpWwAAALiNx8MRAACALyEcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYfD4cLVy4UFFRUQoICFBMTIy2b99eY9+MjAzZbLYq27ffftuIFQMAgKbMp8PRqlWrNHPmTD355JPKycnR0KFDNWbMGOXn59d63oEDB1RQUODaevTo0UgVAwCAps6nw9Err7yiBx54QA8++KB69eqlBQsWKDIyUosWLar1vE6dOiksLMy1+fn5NVLFAACgqfPZcFRaWqo9e/YoPj6+Unt8fLx27txZ67kDBw5UeHi4RowYoa1bt9bat6SkRE6ns9IGAACaL58NR0VFRaqoqFBoaGil9tDQUBUWFlZ7Tnh4uBYvXqy0tDStWbNG0dHRGjFihLZt21bjfZKTk+VwOFxbZGSkW8cBAACalpbeLuBC2Wy2SvuWZVVpOyc6OlrR0dGu/bi4OB0+fFjz58/XtddeW+05SUlJSkxMdO07nU4CEgAAzZjPzhx16NBBfn5+VWaJjh8/XmU2qTaDBw/WwYMHazxut9sVHBxcaQMAAM2Xz4Yjf39/xcTEKD09vVJ7enq6hgwZUufr5OTkKDw83N3lAQAAH+XTj9USExM1adIkxcbGKi4uTosXL1Z+fr4SEhIk/fZI7MiRI3rvvfckSQsWLFC3bt3Up08flZaWavny5UpLS1NaWpo3hwEAAJoQnw5Hd9xxh3766Sc988wzKigoUN++fbVp0yZ17dpVklRQUFDpM49KS0s1a9YsHTlyRIGBgerTp482btyosWPHemsIAACgibFZlmV5uwhf4nQ65XA4VFxczPqjGvxaWq7ecz+VJO17ZpRa+/t0BgcAr+Pf1QtXn+/fPrvmCAAAwBMIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAwefD0cKFCxUVFaWAgADFxMRo+/bttfbPzMxUTEyMAgICdNlllyklJaWRKgUAAL7Ap8PRqlWrNHPmTD355JPKycnR0KFDNWbMGOXn51fbPy8vT2PHjtXQoUOVk5OjOXPm6OGHH1ZaWlojVw4AAJqqlt4u4EK88soreuCBB/Tggw9KkhYsWKBPP/1UixYtUnJycpX+KSkp6tKlixYsWCBJ6tWrl7KzszV//nxNnDixMUuvwrIsnSmr8GoN7vJrafMYBwDg4uSz4ai0tFR79uzRE088Uak9Pj5eO3furPacrKwsxcfHV2obNWqUli5dqrKyMrVq1arKOSUlJSopKXHtO51ON1Rf1ZmyCvWe+6lHrg0AAOrOZx+rFRUVqaKiQqGhoZXaQ0NDVVhYWO05hYWF1fYvLy9XUVFRteckJyfL4XC4tsjISPcM4CIQ27WdAlv5ebsMAADqxWdnjs6x2WyV9i3LqtJ2vv7VtZ+TlJSkxMRE177T6fRIQAps5ad9z4xy+3W9KbCVX63vBQAATZHPhqMOHTrIz8+vyizR8ePHq8wOnRMWFlZt/5YtW6p9+/bVnmO322W3291TdC1sNpta+/vs2wEAQLPhs4/V/P39FRMTo/T09Ert6enpGjJkSLXnxMXFVem/ZcsWxcbGVrveCAAAXHx8NhxJUmJiopYsWaJ33nlH+/fv16OPPqr8/HwlJCRI+u2R2D333OPqn5CQoEOHDikxMVH79+/XO++8o6VLl2rWrFneGgIAAGhifPo5zh133KGffvpJzzzzjAoKCtS3b19t2rRJXbt2lSQVFBRU+syjqKgobdq0SY8++qjefPNNRURE6PXXX/f6j/EDAICmw2adW5GMOnE6nXI4HCouLlZwcLC3ywEAXAR+LS13fdzLvmdGsUa1Aerz/dunH6sBAAC4G+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADD4bDg6ceKEJk2aJIfDIYfDoUmTJumXX36p9Zx7771XNput0jZ48ODGKRgAAPiElt4uoKHuuusu/fDDD9q8ebMk6T//8z81adIkbdiwodbzRo8erWXLlrn2/f39PVonAADwLT4Zjvbv36/Nmzdr165dGjRokCTp7bffVlxcnA4cOKDo6Ogaz7Xb7QoLC2usUgEAgI/xycdqWVlZcjgcrmAkSYMHD5bD4dDOnTtrPTcjI0OdOnVSz549NWXKFB0/frzW/iUlJXI6nZU2AADQfPlkOCosLFSnTp2qtHfq1EmFhYU1njdmzBi9//77+uyzz/Tyyy9r9+7duv7661VSUlLjOcnJya51TQ6HQ5GRkW4ZAwAAaJqaVDiaN29elQXTv9+ys7MlSTabrcr5lmVV237OHXfcoRtvvFF9+/bVuHHj9Mknn+if//ynNm7cWOM5SUlJKi4udm2HDx++8IECAIAmq0mtOZo+fbruvPPOWvt069ZNe/fu1bFjx6oc+/HHHxUaGlrn+4WHh6tr1646ePBgjX3sdrvsdnudrwkAAHxbkwpHHTp0UIcOHc7bLy4uTsXFxfriiy909dVXS5I+//xzFRcXa8iQIXW+308//aTDhw8rPDy8wTUDAIDmpUk9VqurXr16afTo0ZoyZYp27dqlXbt2acqUKbrpppsq/aTaFVdcobVr10qSTp06pVmzZikrK0vff/+9MjIyNG7cOHXo0EETJkzw1lAAAEAT45PhSJLef/999evXT/Hx8YqPj1f//v31j3/8o1KfAwcOqLi4WJLk5+enr776SuPHj1fPnj01efJk9ezZU1lZWQoKCvLGEAAAQBPUpB6r1UdISIiWL19eax/Lslx/DgwM1KeffurpsgAAgI/z2ZkjAAAATyAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGwhEAAICBcAQAAGAgHAEAABgIRwAAAAbCEQAAgIFwBAAAYCAcAQAAGAhHAAAABsIRAACAgXAEAABgIBwBAAAYCEcAAAAGnw1Hzz33nIYMGaLWrVvrkksuqdM5lmVp3rx5ioiIUGBgoIYNG6ZvvvnGs4UCAACf4rPhqLS0VLfffrumTp1a53NefPFFvfLKK3rjjTe0e/duhYWFaeTIkTp58qQHKwUAAL6kpbcLaKinn35akpSamlqn/pZlacGCBXryySd16623SpLeffddhYaGasWKFfrzn//sqVIBAHCbX0srvF2CxwW28pPNZvPa/X02HNVXXl6eCgsLFR8f72qz2+267rrrtHPnzhrDUUlJiUpKSlz7TqfT47UCAFCT2Gf/29sleNy+Z0aptb/3IorPPlarr8LCQklSaGhopfbQ0FDXseokJyfL4XC4tsjISI/WCQDA7wW28lNs13beLuOi0aRmjubNm+d6XFaT3bt3KzY2tsH3+P00nWVZtU7dJSUlKTEx0bXvdDoJSACARmWz2bQ6IU5nypr/IzXptzDoTU0qHE2fPl133nlnrX26devWoGuHhYVJ+m0GKTw83NV+/PjxKrNJJrvdLrvd3qB7AgDgLjabzauPmi4mTepV7tChgzp06OCRa0dFRSksLEzp6ekaOHCgpN9+4i0zM1P/9V//5ZF7AgAA3+Oza47y8/OVm5ur/Px8VVRUKDc3V7m5uTp16pSrzxVXXKG1a9dK+i1xz5w5U88//7zWrl2rr7/+Wvfee69at26tu+66y1vDAAAATUyTmjmqj7lz5+rdd9917Z+bDdq6dauGDRsmSTpw4ICKi4tdfWbPnq0zZ87ooYce0okTJzRo0CBt2bJFQUFBjVo7AABoumyWZVneLsKXOJ1OORwOFRcXKzg42NvlAACAOqjP92+ffawGAADgCYQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAw+++tDvOXcB4o7nU4vVwIAAOrq3PftuvxiEMJRPZ08eVKSFBkZ6eVKAABAfZ08eVIOh6PWPvxutXo6e/asjh49qqCgINlstjqd43Q6FRkZqcOHDzf738fGWJufi2WcEmNtji6WcUqM9Xwsy9LJkycVERGhFi1qX1XEzFE9tWjRQp07d27QucHBwc3+L+w5jLX5uVjGKTHW5uhiGafEWGtzvhmjc1iQDQAAYCAcAQAAGAhHjcBut+upp56S3W73dikex1ibn4tlnBJjbY4ulnFKjNWdWJANAABgYOYIAADAQDgCAAAwEI4AAAAMhCMAAAAD4ciLSkpKNGDAANlsNuXm5nq7HLe7+eab1aVLFwUEBCg8PFyTJk3S0aNHvV2W233//fd64IEHFBUVpcDAQHXv3l1PPfWUSktLvV2aRzz33HMaMmSIWrdurUsuucTb5bjNwoULFRUVpYCAAMXExGj79u3eLskjtm3bpnHjxikiIkI2m03r1q3zdkkekZycrKuuukpBQUHq1KmTbrnlFh04cMDbZXnEokWL1L9/f9cHIsbFxemTTz7xdlkel5ycLJvNppkzZ7r92oQjL5o9e7YiIiK8XYbHDB8+XB9++KEOHDigtLQ0/etf/9Jtt93m7bLc7ttvv9XZs2f11ltv6ZtvvtGrr76qlJQUzZkzx9uleURpaaluv/12TZ061duluM2qVas0c+ZMPfnkk8rJydHQoUM1ZswY5efne7s0tzt9+rSuvPJKvfHGG94uxaMyMzM1bdo07dq1S+np6SovL1d8fLxOnz7t7dLcrnPnznrhhReUnZ2t7OxsXX/99Ro/fry++eYbb5fmMbt379bixYvVv39/z9zAglds2rTJuuKKK6xvvvnGkmTl5OR4uySPW79+vWWz2azS0lJvl+JxL774ohUVFeXtMjxq2bJllsPh8HYZbnH11VdbCQkJldquuOIK64knnvBSRY1DkrV27Vpvl9Eojh8/bkmyMjMzvV1Ko2jXrp21ZMkSb5fhESdPnrR69OhhpaenW9ddd531yCOPuP0ezBx5wbFjxzRlyhT94x//UOvWrb1dTqP4+eef9f7772vIkCFq1aqVt8vxuOLiYoWEhHi7DNRBaWmp9uzZo/j4+Ert8fHx2rlzp5eqgrsVFxdLUrP/uqyoqNAHH3yg06dPKy4uztvleMS0adN044036oYbbvDYPQhHjcyyLN17771KSEhQbGyst8vxuMcff1xt2rRR+/btlZ+fr/Xr13u7JI/717/+pb///e9KSEjwdimog6KiIlVUVCg0NLRSe2hoqAoLC71UFdzJsiwlJibqmmuuUd++fb1djkd89dVXatu2rex2uxISErR27Vr17t3b22W53QcffKAvv/xSycnJHr0P4chN5s2bJ5vNVuuWnZ2tv//973I6nUpKSvJ2yQ1S13Ge89hjjyknJ0dbtmyRn5+f7rnnHlk+8qHs9R2rJB09elSjR4/W7bffrgcffNBLlddfQ8ba3Nhstkr7lmVVaYNvmj59uvbu3auVK1d6uxSPiY6OVm5urnbt2qWpU6dq8uTJ2rdvn7fLcqvDhw/rkUce0fLlyxUQEODRe/HrQ9ykqKhIRUVFtfbp1q2b7rzzTm3YsKHSP7oVFRXy8/PT3XffrXfffdfTpV6Quo6zur+4P/zwgyIjI7Vz506fmO6t71iPHj2q4cOHa9CgQUpNTVWLFr7zf4+GvK+pqamaOXOmfvnlFw9X51mlpaVq3bq1Vq9erQkTJrjaH3nkEeXm5iozM9OL1XmWzWbT2rVrdcstt3i7FI+ZMWOG1q1bp23btikqKsrb5TSaG264Qd27d9dbb73l7VLcZt26dZowYYL8/PxcbRUVFbLZbGrRooVKSkoqHbsQLd1yFahDhw7q0KHDefu9/vrrevbZZ137R48e1ahRo7Rq1SoNGjTIkyW6RV3HWZ1zObykpMSdJXlMfcZ65MgRDR8+XDExMVq2bJlPBSPpwt5XX+fv76+YmBilp6dXCkfp6ekaP368FyvDhbAsSzNmzNDatWuVkZFxUQUj6bfx+8q/tXU1YsQIffXVV5Xa7rvvPl1xxRV6/PHH3RaMJMJRo+vSpUul/bZt20qSunfvrs6dO3ujJI/44osv9MUXX+iaa65Ru3bt9H//93+aO3euunfv7hOzRvVx9OhRDRs2TF26dNH8+fP1448/uo6FhYV5sTLPyM/P188//6z8/HxVVFS4PqPr8ssvd/199jWJiYmaNGmSYmNjFRcXp8WLFys/P79Zrhs7deqUvvvuO9d+Xl6ecnNzFRISUuXfJ182bdo0rVixQuvXr1dQUJBr/ZjD4VBgYKCXq3OvOXPmaMyYMYqMjNTJkyf1wQcfKCMjQ5s3b/Z2aW4VFBRUZc3YuTWtbl9L5vaff0O95OXlNcsf5d+7d681fPhwKyQkxLLb7Va3bt2shIQE64cffvB2aW63bNkyS1K1W3M0efLkase6detWb5d2Qd58802ra9eulr+/v/WHP/yh2f7I99atW6t9/yZPnuzt0tyqpq/JZcuWebs0t7v//vtdf3c7duxojRgxwtqyZYu3y2oUnvpRftYcAQAAGHxrYQQAAICHEY4AAAAMhCMAAAAD4QgAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAJD0zDPPqF+/fmrTpo1CQ0M1depUlZWVebssAF7Q0tsFAIC3WZaliooKvfXWW7r00ku1b98+3XPPPerfv7+mTp3q7fIANDJ+8SwAVOOuu+5Sx44d9dprr3m7FACNjMdqAC56hw4d0vTp09W3b1+1a9dObdu21YcffqjOnTt7uzQAXkA4AnBRKyoq0tVXX62ioiK98sor2rFjh7KysuTn56cBAwZ4uzwAXsCaIwAXtU2bNqm8vFwrV66UzWaTJL355psqLS0lHAEXKcIRgItaSEiInE6nPvroI/Xu3VsbNmxQcnKyLr30UnXs2NHb5QHwAhZkA7ioWZalqVOnasWKFQoMDNSf/vQn/fvf/9ahQ4f08ccfe7s8AF5AOAIAADCwIBsAAMBAOAIAADAQjgAAAAyEIwAAAAPhCAAAwEA4AgAAMBCOAAAADIQjAAAAA+EIAADAQDgCAAAwEI4AAAAMhCMAAADD/wdPskHpZNXvngAAAABJRU5ErkJggg==", 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" ] @@ -285,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -300,7 +284,7 @@ " [ 0., 0., 0., ..., -1., -1., -1.]])" ] }, - "execution_count": 58, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -319,19 +303,19 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "3.9529463851622046\n" + "3.841874542459709\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -354,12 +338,12 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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DWVoPTRGfRdGfY7HnqYjrItdP10D+01ex24g7GrIRQgghROSoQyKEEEJESO7TX9kU++otzc3N8DwPc+bM6XzPGIP58+fjwAMPRF1dHaZOnYp33nmnBEfbPeqQCCGEEBGSM6V59YbVq1fjnnvuwYQJE3zv33bbbVi0aBGWLFmC1atXY8SIETjjjDOwc+fOEhxx11SmQ1INoLrj39b4YwiHpOhAnjJykEKHe4UOLituvmv5oPU9Hlx1rGsdmmt5vhDK6LwWLSr18/h9Ub5BqZ2QKB2SMvNX+vOzs26fUl+jYYLRyule7gN27dqFb3zjG7j33ntxyy23dL5vjMHixYtxww034IILLgAAPPTQQ2hqasLDDz+Myy+/vE/aoyckQgghRITkS/QCgJaWFt8rnU53u9+rrroKZ599Nr785S/73t+wYQO2bt2KadOmdb5XU1ODU089FatWrSrBEXeNOiRCCCFEhOThIVfkK//po59Ro0ZhyJAhna/m5uYu9/nII4/gd7/7XZfzt27dCgBoamryvd/U1NQ5ry+oyCEbIYQQolzIm45XsdsAgM2bN6OxsbHz/ZoaO+Ni8+bN+M53voNly5ahtra222169LN/Y4z1XilRh0QIIYQYIDQ2Nvo6JF2xZs0abNu2DZMmTep8L5fLYeXKlViyZAneffddAB1PSkaOHNm5zLZt26ynJqWkIjskuVp0BqOFEZ6Ma4Crr0W0sElrRWyv2Aq4TgnVIZpa6+eDpwOXL0KI7cn6zvlMsaJcH15nYQXA0MJgX4aRubYddv0yEksjD2nrSzk55DXjvOZc1wF/jweI3v0VjLZ32KXYbfSU008/HW+99Zbvvb//+7/H5z73OVx//fX47Gc/ixEjRmD58uU49thjAQDt7e148cUX8aMf/aiodgZRkR0SIYQQolzo7w7J4MGDMX78eN97DQ0NGDZsWOf7c+bMwa233oqxY8di7NixuPXWW1FfX48ZM2YU1c4g1CERQgghhI/rrrsOe/bswaxZs/Dxxx/jxBNPxLJlyzB48OA+26c6JEIIIUSE5I2HfJHjcsWuv2LFCt+053mYP38+5s+fX9R2w6AOiRBCCBEh/T1kU65UZIckV4XOpFZOYgkSpsILfK4qsLQBKwK0xBdY0PbDVsBlQkqrocVQ2l4iF2L/DiE2bFu4uC9vz5X0yvTpaS8yYTO05Bp2/8WmH4fYV+hU2ZJXTi7t9nwUK7T3pYxcrBDrmC5axA4gNxBK6MaIiuyQCCGEEOVCDgnkiswp5b/R4og6JEIIIUSEmBI4JFZNrRii6HghhBBCRE5FPiHJ1xqg9tNB1BAOiT2W6R+IDd9BDSdmhFVSXHgsQ4TZWMggM3u+R9OO9dnTSNLyvP2C55eW4+FySEI6J5YKBAeu6sIuQpxnlyrgdD5CjtcXXf23GKekxKFukf7B2dfVdUM6JKWu6hxq22G+o3syPxH8vVq4fr6fSndLau2gIjskQgghRLmQMwnknFHgrm2UqDERog6JEEIIESF5eMgXaVD019OcvkQOiRBCCCEiR09IhBBCiAiRQ9JBRXZI8tUGqPn08ZZDePLN5+dJLsvUIVtZ4qbDOPTaSvtAK19b0ABuXJDwCvRAauXt8XxuTPB8a5rKcFrzE93PCx2URj/wdwajFVv9N4Rg6AxVc53WsJVRS115tZRiaYmF21hLrWFt5hJLrcWdN/qxQImvQes7PoB8vp+k1pI4JBqyEUIIIYQomop8QiKEEEKUCx1Sa5HF9TRkI4QQQohiyJcgOn4g/MqmIjskpiYPU9Mx8G8N23Fojtf9PLtDGnxBeK5x3DSlffU1QQO9dSxOBK/Lw5fGEXxmyAGBMyiN5vOP7rn4XtYrWJa3RW1xOCFeIni+K2jNGtot9nuj5zURiy9sFjaUyjHe79xfKQO2ivRZihzStymqcGDwmQ5bpzN0QcdiHJLQRQ3DBU7a15zjezrZ8w/H5FVdrz+JjUOydOlSTJgwAY2NjWhsbMTkyZPx61//OupmCSGEEEWxV2ot9hV3YvOE5KCDDsIPf/hDHHbYYQCAhx56COeeey7eeOMNHHXUURG3TgghhOgdeSQUjIYYdUjOOecc3/TChQuxdOlSvPLKK+qQCCGEEDEnNh2SQnK5HH75y1+itbUVkydP7na5dDqNdDrdOd3S0tIfzRNCCCF6TM54yBUZfFPs+uVArDokb731FiZPnoy2tjYMGjQITz75JI488shul29ubsaCBQvsGbX5jhcAjwQoz5JaTcE80LJ5Wja4/VmSVk05X0COp3+Jmqx/cZZcWVplsyznWN4hwXpZmmbHtTAYjaVWR6iaJamGnOa2hyzqHE4CdKwbWmYMKakWW3mVCTUMHjogyyFL9rXUGoawsi8fm+PEu+Yzob+qCsXrkG23jtUhrYb6YUIX8+32FG68f6TWXAl+ZZMbAEM2sbJgjjjiCKxduxavvPIKrrzySlxyySVYv359t8vPmzcPO3bs6Hxt3ry5H1srhBBCuMmbRElecSdWT0iqq6s7pdbjjz8eq1evxl133YWf/vSnXS5fU1ODmpqa/myiEEIIIXpBrDokjDHG54gIIYQQcUNDNh3EpkPyj//4j5g+fTpGjRqFnTt34pFHHsGKFSvw/PPPR900IYQQotfkUbyUOhAi3GLTIfnggw9w8cUXY8uWLRgyZAgmTJiA559/HmeccUbobSWrckhUd5iOiSSJqQFSa9IhsSZItmpLV4VuW2Q4xcvgm6Wq1i+55llazScC57PkaiXBZvnD9m/PsLhaWBE3QRIrn2OH5MrVft3VRGl+2Oq/DnzbdwmxIav9hpZUHUmuzmHtIiqxhq7uW6z0WiwhthdeIg0ZB2xdBy6L3bV/Xr7n59G+poJ/aMD7CvrO7mr5RJIFX1q88Lsjyze/6Eti0yG57777om6CEEIIUXJKE4wmqVUIIYQQRVCK6PeBEB0f/yMQQgghROypyCckVTUZJGs6QspS5JAkyBNJFoxPJr1gh2RPe4yckSKxgpVoHLaGgtPyVK03l0sETnMQWp5T6dhdYAelcPcu78FRzdfzgh0TK3jNMZzvGr4PVXk1bKiaA/4sXNNOB6TYYLSg5YutCstw20te7bcIeShs1WRnU0L6Mg4nJNDzcGzbsyQr2nWSb7jg+fy9zE5JwnUsBcvncpnAZUtFHh7yRd68xa5fDlRkh0QIIYQoFzRk00H8j0AIIYQQsUdPSIQQQogIKU0wWvyfL6hDIoQQQkRI3njIFxuMVs7FWntIRXZI6mszSNZ29CarLIm1++mqhN9e3Jmu7aMW9g6XMxfqeg15cVvVfqkt9bXtvulMNhk4naMgtRyFGeUztIMkSbH+ZDT/vIAQtY6N8xtcSphm8wZc1X4dkquTEMFoYav9uiqnuqXW4PWZ0EFsvmVDCrQO4db6rJJFSKjF4jo2Xjzs/0UBYWA9ag/PDgonC9l2rqLOEirvyxVYyfP5hwz8H3nh8rl8f0mtxT8hGQg5JPE/AiGEEELEnop8QiKEEEKUC3mTQL7IX8kUu345oA6JEEIIESE5eMgVmSNS7PrlQEV2SOqr2pGq7jh57IVUJ/3TqYIUrF2Z6r5vXJliFaBy+SqWU+Kfrq/2j82207huloLS2j3/pZqlBuRzNF0wGmm5AVRsz/IUHMX0OISNg5c8dlBcn13IcLNQeg87IA6pxHJK/GqPPcjL6zuK7TndCMf2g9Z1FmlztMWaH6bQXw+wir4FLhxyXYf2FHo+z3Z8FpbnEcIh4aKkfKyu8EprPtgx8U9Xpyi0kS6cwvZkM373TfQtFdkhEUIIIcoFDdl0oA6JEEIIESE5FD/kwg9240j8u1RCCCGEiD16QiKEEEJEiIZsOqjIDkljdRpV1R3iEkus1Qm/8DSgpdYSOnssvbI8yeJYQ3XaN53KkbSa89uULM2lSXLl4LTCs8g5ZVZQmqsacDZYYrXLjzqC1Ir83E2YYDSuZOyq8mpJrY4wMVeFXFf1X4L3Fybwy644G7xvS0ZmMbPEwWhhpNawQWfWsbuuCxKvndKqo+1BVdJdx83zWUJNOcIrq+g73JZa/cvXJklqpQ+n8Ds/009Sq4rrdRD/IxBCCCFE7KnIJyRCCCFEuWDgWU9qerONuKMOiRBCCBEhGrLpQB0SIYQQIkJU7beDiuyQDKneg+rqDhGqhgQnllp3Zsqooq/rgguTBGltmyZdFWodSazW5tnzpOUHk+TaTlKrS4zL5br/64CCVZGjAp52cisJfwiuFmzBSa0syTrcS+f3Sgip1UpSDZ3UGk5adUmwzrTUMOmoVgKvQ1INmTaaTFo6dL9hCbeO659F0KD0UQDI0TXK6zMsrfJ55O0nC8RQl6DL0ilvq5q+o3k+S6oswfLy9Sm/qMqfVaHU2q6k1n6lIjskQgghRLmQQwK5In9jUuz65YA6JEIIIUSEaMimg/h3qYQQQggReyryCcl+qTZUV3WIAHVJ/xhhS9bvjBT+FMvlSYh9WAoKfXZshGfz/ulBVf7z4gpmyib864f5ayHPkgkHp4HHz8k54Q06KqtazojD62DCXIahg9HYJSAnxBL5XWFiRYaTBf2Skd0Ej90Bl1NC23NVkS2WYoLRXNd/obMB2GFfHBbG9x+vb20/qJpvF+0r9EJ43/a26XOn6WqqyM7za5N+KSzl8fb869fR8vxdUVXokKRIOOsj8kj4KpT3dhthWLp0KZYuXYqNGzcCAI466ijceOONmD59OgDAGIMFCxbgnnvuwccff4wTTzwRP/nJT3DUUUcV1c4g9IRECCGEiJCc8UryCsNBBx2EH/7wh3j99dfx+uuv40tf+hLOPfdcvPPOOwCA2267DYsWLcKSJUuwevVqjBgxAmeccQZ27tzZFx8BAHVIhBBCiIrjnHPOwVlnnYXDDz8chx9+OBYuXIhBgwbhlVdegTEGixcvxg033IALLrgA48ePx0MPPYTdu3fj4Ycf7rM2qUMihBBCRMheqbXYFwC0tLT4Xul02rF3IJfL4ZFHHkFraysmT56MDRs2YOvWrZg2bVrnMjU1NTj11FOxatWqPvsc1CERQgghIsR8Wu23mJf51AsaNWoUhgwZ0vlqbm7udr9vvfUWBg0ahJqaGlxxxRV48sknceSRR2Lr1q0AgKamJt/yTU1NnfP6goqUWodW70JNdRUAoD7hlyc/ydRH0aT4YVmrwUFpruq/rmmWXJk0VQsOVReCJFZb7wuuDmw5rLwBmubPwimaWs0pWN4VjOYIZbOXDw46c0mrzjAyR1BaIskCcYAQ6RA/gyrQdrVtlmC5EnixuMTUQlzSKMNiqDsYjaTWhENq9YLDxoLCyFxSK68bVlrlHyZUOaTWQUn/EwNLai1YPl3dP1JrKdm8eTMaGxs7p2tqarpd9ogjjsDatWvxySef4PHHH8cll1yCF198sXO+JfAbY71XSiqyQyKEEEKUCzl4yBVZHG/v+o2Njb4OSRDV1dU47LDDAADHH388Vq9ejbvuugvXX389AGDr1q0YOXJk5/Lbtm2znpqUEg3ZCCGEEBGSN6XwSIpvhzEG6XQaY8aMwYgRI7B8+fLOee3t7XjxxRcxZcqU4nfUDXpCIoQQQkTIXg+k2G2E4R//8R8xffp0jBo1Cjt37sQjjzyCFStW4Pnnn4fneZgzZw5uvfVWjB07FmPHjsWtt96K+vp6zJgxo6h2BqEOiRBCCFFhfPDBB7j44ouxZcsWDBkyBBMmTMDzzz+PM844AwBw3XXXYc+ePZg1a1ZnMNqyZcswePDgPmtTbDokzc3NeOKJJ/CHP/wBdXV1mDJlCn70ox/hiCOOCL2t/VK7UZvqOPTd+erAZYMSPy1B0IW1qTJOfnVIq9bijurA/Dlaya0k2WWptz+0anfg/lmEK9yeK2GXBcIcT1trcJIrbY9XYAmMJVaXaGrtvlBqdVTvZSmVqrwaS0KlzfH6XPXVkdRqpaU6kltZrgySWvljtarGcvVeng+eT1Jryl9FtlhccmchfNx8fTM83yW1cjKyc/shpdbC5ROOFNiwyapVXrj5PD042eabZnejcPm2El8D3ZGHF07E72YbYbjvvvsC53ueh/nz52P+/PlFtCocsXFIXnzxRVx11VV45ZVXsHz5cmSzWUybNg2tra1RN00IIYToNVEktZYjsXlC8vzzz/umH3jgARxwwAFYs2YNTjnllIhaJYQQQohSEJsOCbNjxw4AwNChQ7tdJp1O+1LqWlpa+rxdQgghRBiikFrLkVh2SIwxmDt3Lk4++WSMHz++2+Wam5uxYMEC6/3Ck88nsdhxvMrB5ZSwM+Kf7wpm4jFudkoGpfzhRkFj5K7Kvwkv6ZvmCDYr1I03YJXUpdn8ezwrGC1wto3PIXEEj3EwGTeVd245JOQOOJwSnu8KK2MPJEVhZEEZTFaFWS84CI2vMWua1q+N0CGxPjdHMFpfOyTVCf9nYTkk9NkVhou5g9GCnQ+mhtpSmwjnkNQn/N8dObro0/mqzn/313/yeXjO76mebCPuxLJLNXv2bKxbtw6/+MUvApebN28eduzY0fnavHlzP7VQCCGEEGGI3ROSq6++Gs888wxWrlyJgw46KHDZmpqawNhcIYQQImpMCX5lYwbAE5LYdEiMMbj66qvx5JNPYsWKFRgzZkzUTRJCCCGKprBabzHbiDux6ZBcddVVePjhh/H0009j8ODBnRUHhwwZgrq6uohbJ4QQQohiiE2HZOnSpQCAqVOn+t5/4IEHMHPmzFDbKixklCNpiX/LXSg1DQRpyIfp5t/Fbgu2a+mq9msFo1FCVzbvF0+H1ezyTRcjtbpwBavZzipJqwla36r+6592FtMsFEddoWqWMRtOgk2kSPzkary0fCoZLI6yRMvHyhV2g2RO3hbvyxItHdvm5etTpa30GqbaL4eJOaVWL6TUSt97vD7DIim3L6jCbpL2vTtX5Ztm6ZT3xdjLh5NaWYLl/wN2Y19YZrEF73qKfmXTQWw6JCZ0LKoQQghR/mjIpoPYdEiEEEKIgUgU0fHlSPyf8QghhBAi9lTkExJfMNoA6FX2CY7wLpdz4nJGXEFpuYR/up0ckva8/9JtTPkLZhWOkfO+wz7azOUdy/OxkVSSz3HaGHkU1jUY/OEWehv8OVuORpIdEv9kPhv8N0mSHRL2NNgZSXYfkNXRPv/2LY+DPI8gt8FVgK6a9s3zed+8fG2y1A5JsKdRCDsZrnV5eXYfknTiM+Qb8PpMTZIcErBD0r0HwgVMq8gPq0oEb8tqCzkmliPiBTslPH+nqfVN+7zB/gpG05ANgArtkAghhBDlgjokHWjIRgghhBCRoyckQgghRIToCUkH6pAIIYQQEaIOSQcV2SHJofvAG6v67wA4yf2BJVeSRMfzOYzIMyTlcVAaTWdIcuWKog3JfTV7syn/smHPqXN5FnRJYmUh0bAk6wgrYwor6nI+D0ujXI3XCnnjDKqQ8nJVyi8McrCZKxjNFV4WVIWWz7lbag0ORuOKtoOSXPe5OMJIrdw2l+jJ87mC7UftDb5pllpb6X5iavIstfJn373UmiYBvZ5k4RqWUPk80b6quNovre+q/sufTbtJ0Xyv4N+iP6nIDokQQghRLhgU/4vPgRAdqg6JEEIIESEasulAv7IRQgghROToCYkQQggRIXpC0kFFdkgKk1pZrizmpA6EC6JbXLKjNc3ipn/SqvZL00ma5uqknNzKwuCw6t2d/2aBz0pupbFbS8AloZYd1Hyek1ip8mqOts/Vf/mzclR2LUxDzZMgm6Dqu1yNN5theTFcSqyL6hSlaDpEUp6u5UTQgM+ChVgWK1lq5bakrKqw/u01pvZ0u+/eEKbab5KTWh3npSVX55vm+4nvAU465mrabTn//OpcOCF4T8Fnzfvi6eqEv/ovJ7EeUN3im671SGpNBEuy1XSe202w5K6k1uioyA6JEEIIUS6oQ9KBHBIhhBBCRI6ekAghhBARYoxnZwT1YhtxpyI7JDmT6HRHXI+5Cv0Cl3tQcvrzArOq+xbnEvDqfLM4q/3SGDUHo/GYdzstny4YA+eAKyv8znEe2V+xHJIUtZ28jhxVN+VgNFfFXqbQE2FHxGmEOK6pvv5SY0eEw8y4wm4Yh4QdEfYa2E1I0rbZPRhEFaSLxRVuVghX5/0o29DNkh1kODjQBFfHbidHhO8BdrTYKbEdEv/8wvPanvNvi4MKg/wTwD5vg6s/8s93OCMchJanaZ5f6BWyY9hX5OEV/f/JQKhcryEbIYQQQkRORT4hEUIIIcoFSa0dqEMihBBCRIgckg40ZCOEEEKIyKnIJySmQCCyhacy7mW6PNP+bLolqQZLsa4wsQTJjRzsxFIrS3dMOrnv0v5M9U7/tumDsoORSPBL+vflrFycC+7nG684qTVVEIzGAm2SJNd0xn+LW64yT1uFiEt7UdlBaH4hsSHlF5CDAsE4CI2lUZYhbak1T/P9bRmSLG0wWhLdV/vdnh3sm+agP66Yy/D8LEutOQ4nCw4HsyXy4GrbllBcULXZklrpfmEhlgPt6uga2ZGsRxCjSHr9JOdf3g7D7P7/ANNPX6oasumgIjskQgghRLmgIZsONGQjhBBCiMjRExIhhBAiQkwJhmwGwhMSdUiEEEKICDHowu/qxTbiTkV2SIKSWl3TA4owV7D1OXAUK006pFfrc7WSWv2zWURjyY4plPx256t98+pJknMl8LKUZ1UqprawlMrTrmrCyUT38iPgT2pN0MeQpbY6z7FLcuXZfSy5NiTTgfMLcSWtssTKVWFtCdY/f3CitFIrJ4huzQ7p/Hdb3l/xloXbsFIri5ossVrSKi2fcYiou9v99xQn7rYXSK28Lb6X2+hYC4VYwBafdyT9lY2ZRIbEabou+P5myT2qpFZPSa1ySIQQQggRPRX5hEQIIYQoF/Qrmw7UIRFCCCEiJG88eMohqcwOSW9DaIrtgVouQVFb62OKbZzlJgRX++XxT48Cv3gcmsPKmLbcvjF5Hl8fRJ4Cw0FM7angyqh2MJq/bRzuxcsnKMwsyJsA/OP1/DlmssGfS3lfdDZB58oVbFbrcTAaV4Wl+eQa7Jfc3eN29oSPcoN80+l899coXwMuh4Sr+bqCzlxOCQef2d4U3Z9ZvwNTeH/mufo1bauK/JNM3u+QtCRrfdMNqeD7l30cdof4/uP5hcc6EP6TjxMV2SERQgghygVjSvArm5j9sdEV6pAIIYQQESKHpAP9ykYIIYQQkaMnJEIIIUSE6AlJB7HqkKxcuRK333471qxZgy1btuDJJ5/EeeedF3o7OSQ6q/zmudqvVQky/ie5L+DxSg714fmG3uBqv3aFWwpKc1QfZQqlvT05Cp0KaXZyMBOHRHFwmoskfRauir1MqiA4ak+mKmBJd0CdHXjH6wfOtmCBl+VMl7AbxOBkG23LL0NyAFZ9wl85mOVFrr7L8/dLFCe1bs0N8U2zbNlWQqk1y5KqIxiNJXEWtXk+XwccwGfP39de696latiZpP88VKX883cl/SFsO6v8kuuenH++q8ozB6EFLc/V4PsK/cqmg1gN2bS2tuKYY47BkiVLom6KEEIIURL2Sq3FvuJOrJ6QTJ8+HdOnT4+6GUIIIYQoMbHqkIQlnU4jnd73m/WWlpYIWyOEEELYdDzhKNYhKVFjImRAd0iam5uxYMEC6/3d2RpkPw3ySSVy1vyyIdt/Y4I8tG9d22GLtDnmW7lpdDN67FnQfA5u4vXbE/vmc2hUmtwDvgYSjjubx2prk/4xaMuboKPl8X3PC1dcr/BYnY5IH1PsuLXLOeHws0IGJ/xOCTsg9Ql/gBY7JhyMxkFqjYngAC5mGwWfWc6I8U8XeiEuh4SvYcYZdEbOhzP4zFEAMkceCN8x2cy+7RuqlGmqeNv+c8yOCRfb25Wp8S+fD16+2vEdP6TKX0QxW/jdke0fq0FSawexckjCMm/ePOzYsaPztXnz5qibJIQQQoguGNBPSGpqalBTU+NeUAghhIgIg9JX64gjA/oJiRBCCFHu7B2yKfYVhubmZpxwwgkYPHgwDjjgAJx33nl49913qV0G8+fPx4EHHoi6ujpMnToV77zzTikP3UesOiS7du3C2rVrsXbtWgDAhg0bsHbtWmzatCnahgkhhBAx4sUXX8RVV12FV155BcuXL0c2m8W0adPQ2traucxtt92GRYsWYcmSJVi9ejVGjBiBM844Azt37uyTNsVqyOb111/Haaed1jk9d+5cAMAll1yCBx98sMfbacnWoDrbEabDoTgsdwVJeyWXiEhijdS3dR1byOeDlnxJYWCUVWQFp9nhSiS1JkhqLZD22igYjUXKFEmmVQEiZU9gyZVJGv/2cyGl1t2ZfUFQfH3akiutbAXW+adZbk6mOLTKf1HWpihUiqZZKOSQOa6szNV9BxWEoXHQGQel1Xr++Q2W1OpvW5VDah1C3w0f5PyBXIwlrVoSa/fzWWpNstSac0itueBgNJZY3cFnJK26vhf5uiq4v/OZZLfzAMBLUhglXXMc/rd9T4Nvmr8bqukaHFwVLCdzwF46se+z7i+pNYoxm+eff943/cADD+CAAw7AmjVrcMopp8AYg8WLF+OGG27ABRdcAAB46KGH0NTUhIcffhiXX355kQ22iVWHZOrUqVbipxBCCBFrSvArm71/RHK8RU9dyh07dgAAhg4dCqBjBGLr1q2YNm2ab1unnnoqVq1a1ScdklgN2QghhBCie0aNGoUhQ4Z0vpqbm53rGGMwd+5cnHzyyRg/fjwAYOvWrQCApqYm37JNTU2d80pNrJ6QCCGEEAONUkS/711/8+bNaGxs7Hy/J09HZs+ejXXr1uGll16y5nkeDwMb671SoQ6JEEIIESGlDEZrbGz0dUhcXH311XjmmWewcuVKHHTQQZ3vjxgxAkDHk5KRI0d2vr9t2zbrqUmpqMgOyZ5cNbKfSq1ZEqp2Z0mALJDLSl1N0WRIYuVk1rD7cy1fRKXV0Emt3IOm7r9dddY/ycV88yTCcYVcHn0slPZY+EvAf44tqTUVLqGTK6XysbDkysJhls5LiqTWtmzvb1P+nBMpOg95/7RH+05ZlVgpBZMEwvoUpaGS1NqQIvGUPmsWVQvTWDl5dXDCn7DJSaxuqdV/bA2ev61p+uxYWmV4flB1XwBIF4iqnMTqSvdlOKnVSl51VMvm5V3VfPOcvsoydcF8K6mVtu3xNUnLtyX9nxunxCbpGrWqZzskdb7fsgXXbKa/flhgvPDf911tI8zixuDqq6/Gk08+iRUrVmDMmDG++WPGjMGIESOwfPlyHHvssQCA9vZ2vPjii/jRj35UXFu7oSI7JEIIIUQlc9VVV+Hhhx/G008/jcGDB3d6IUOGDEFdXR08z8OcOXNw6623YuzYsRg7dixuvfVW1NfXY8aMGX3SJnVIhBBCiAgppUPSU5YuXQqg49erhTzwwAOYOXMmAOC6667Dnj17MGvWLHz88cc48cQTsWzZMgwePLi4xnaDOiRCCCFElESQQ9KTCA3P8zB//nzMnz+/d20KSUV2SHZnq1D1qSvCY7NBDkmx5Clkx+uv0J3uKGbM0uGAuJwR571gOSPBQU95+MeBk75gtODLnB2SFI05syPicolcTomrWjCPaXMwVOFnWUWORiYZ7BJwKFU+EeyYWM4IVVKtobZz8BlPN1jBZ/5p9kQKpxvJL2nkar8eV/ulfZMjwndfQ8L/zvt0f7aZ4OsoTHVfnubgM65AzR4Uw05IzgpG42DB4O8e9jQYk+fgNJ5fcF1xEBq7cjn6rkhRZe8M3Y90TSdz5JCQF5hMBH/Z8Hd84f2YySr3qj+pyA6JEEIIUS6U8lc2cUYdEiGEECJq9DBGSa1CCCGEiB49IRFCCCEiREM2HVRkh2R3pgqpTyumtuf98lhbgNTqFMtIBMuxtMqiGMtdUeKoClvq7bEUZ61OopkVhkTip2GJz9t3rjIJCkbzgkOnWGqtdlTvZcmOt++SYl3TVSSSFrY3SVJqhq5nK9CKKgvnU/S5OiTWWgo+4yA0VzVfnq5PBgejFYqsHIQ2mKTWBgo+q6HzwNJqFT0g3mn867eZ6sBpZnfeH9EdVN23Y35hMBpL2t1Xr+4Klrzt6tjB1bOt68QVXJhzSO0FIquVS8brcnAaCb259uBqwflksACfoO8Kzmzk75LC9bOZfhpHieBXNuWIhmyEEEIIETkV+YRECCGEKB+8T1/FbiPeqEMihBBCRImGbABUaIekLVuFVDfBaGkqZOYVOiQZ/7z2rH9sM5uhceAMjYhliuzBui64vuwg0745L47HoD1HY6xgNEdxPrv4F4XM0e4Kp5OJ4Mvco4PhwmZW0BnhCkpzheu5HBMOTiucz+PlHJTGWV55KqbHRQu5UBkXz6tJcRCaf3pQ0l88r46mg4rndUyzJ7Kn4N9cXM+/7wY6DTWe/36s9/wOx8d5//Z202fhKpbHuJZPU/hZoRfiKo6Xcfpr7JAEF8tjJ8tSQEIUz+uKQs/D42UpqMwKSktT22i2FfbHbaVwv/ZE99/pAJCg66IwWC2bDS7MVzLUIQEgh0QIIYQQZUBFPiERQgghygbjFVfKY+82Yo46JEIIIUSERFHttxzRkI0QQgghIqcin5CkcylkP5VXq0j+SpO4Whias6eN5CeSWA0Hn7HMVU5BaKWGJVeabXmdlhRLFUFpASsMyWOptfsgtWyC+93+c8zSqSvYjKVXxlkN2BWM5pBoC0VSPja7CjKFRnEoFEmsXN3XruYbXN2XJdZ6nk6ElVz3iacNVM13MB1Lvec/rzU0vcf412+jPym5mq89HSy1WkFoAdV9AaC9YLolXeubx2Fde9od+yYZn2Xn9vZgsZPvv7yj2q+z2nfh/eraFM1P0I8BrAxFR3XgXN7/2XEwYpAAD5A0nvPfD32GpFYAFdohEUIIIcoGOSQANGQjhBBCiDJAT0iEEEKICPFMF8PavdhG3FGHRAghhIgSOSQAKrRDkm5PIpnqOPQ8CVEZSl8tTFfMktRqKHnV4+q+/RTy1ydYEipLbI6r31ntNzgJkr1OThT1XGZaAZlksOjJkioLf65qvowlxYas7psPOBamOsHVebtPdQWAHMu/Sf81myLJ1ZZY/dMssQ6i6r12NV9/Ems9pa82ktTa6LUXLOtv++CEv/puneevtrsr79/WbkOVvcmm/DBf75velm30TX+UHYQgPso2+Kcz/umdGb+42tK+r72t7f5jYam1zSG18vcW31/ZNCW98iXG96dLak0Hz/cKrzv+HqQkVS/PN7t/MtEeXN0XeZZc/bNzLLXSdZShRN/C75pce3Clb1FaKrJDIoQQQpQNkloBqEMihBBCRIuGbACoQyKEEEJEizokACq0Q5LLJmE+HXNldyGzx/+RmMJUnj00FklBZwmaNgnHFRL/J2z7sBwQHpR2OCPWfJptBaO5Prx9580aXw8unGrpKIbHrInalD9wyxWMZoVQhXzU6lueVq1OUrVfrpJMQWpZSp3i9Wut6r7+Yx2U4iA0ckg4CI0dkQQ7JRR+VtA8Dj5jZ+TDfKtveicFZLXSif8o53dG/sbOSM7vjGzPBDskn2TqfNM72v3Tu7J+T2RXgUPSlvY7IglySDjYjMmTv2bdL+2Oi56wKvAyjmq//p0HOyLskHjsnNC+uHi34eXpmjZJckwceZWF90w+G+5zE8VRkR0SIYQQomzQExIA6pAIIYQQ0SKpFYCSWoUQQghRBugJiRBCCBEhSmrtoCI7JLlMAubTipJZkr0MSa2FQlaijSrMUmZOgoLScn7nzsJUxfgK4uq8ZKEasKRKYUiO4DS2NS1Jz/lwb5/plqPKwK5MN5ZacyEfhXI4md0y//ZYmwsjubqWrSJJ1aMQKZZYqx0SKweh1TmkVQ4+42lenivstprC7fvbmiGJ9W9UmHVn3h9E1mr8UumHJK3y9McUdPZx1i/BMh+3+5dvyVBQW7t/endB2FmGq/GS1JpNO76qc8H3i+cIMmNYajUUZmaJqkHbIunUllCDl7e+a9ppNkuu3FQK/+PqwtahFKyfz/TTIIIcEgAxHLK5++67MWbMGNTW1mLSpEn47W9/G3WThBBCCFEkseqQPProo5gzZw5uuOEGvPHGG/jiF7+I6dOnY9OmTVE3TQghhBBFELpDMnnyZLS0tPRFW5wsWrQIl156KS677DKMGzcOixcvxqhRo7B06dJI2iOEEEIUi4d9HkmvX1EfRAkI3SF59dVX0dbWZr3f0tKC733veyVpVFe0t7djzZo1mDZtmu/9adOmYdWqVV2uk06n0dLS4nsJIYQQovzosdR6wQUX4POf/zw8z8O2bdtwwAEH+Oa3trZi0aJFuP3220veSADYvn07crkcmpqafO83NTVh69atXa7T3NyMBQsWWO/n2lIwXteHbomrBcZTcg9X9w1uc8IR8pdPhEx2LTFhrGwreDXs8q7qwQ5JzoRJhoRfeuVVXSIoS618nly4pFbGVf03cF0v3LqcvJojw6/GquYbLpmVRVKm2qMkWC8TOL+6QGTdTduqIvvxbzmSSqktu/N+qfQTSmrdnhnsm/6w3S+57qAkVoYl1pa0f/97Mv401j3pfZJtzqrGSyKmQ67kSuMshibaixydJ2E4jEBpVfPN8XyaDnmve1wNmNrmUToxrORW+jFCZt//Dfm2fvrdh3JIAITokBx88MF49tlnYYzBMcccg2HDhuGYY47BMcccgwkTJmDdunUYOXJkX7YVgF123hhjl6L/lHnz5mHu3Lmd0y0tLRg1alSftk8IIYQIhX5lAyBEh+THP/4xAKCmpgYvvfQS3n//fbzxxhtYu3YtnnzySeTzedx222191tDhw4cjmUxaT0O2bdtmPTXZS01NDWpqHL+9FUIIIaJEHRIAvcghaW1tRSrVsdq5555b8gZ1R3V1NSZNmoTly5fj/PPP73x/+fLl/doOIYQQQpSe0B2SvZ2RKJg7dy4uvvhiHH/88Zg8eTLuuecebNq0CVdccUWo7SR2J5HYW/mTRnuSe7ofi02Sy5sgVSDvHyIGMg4vgp0RdhWi/FG2q7ftDDbj+VZJzaBJa3se+zY8pm3tb98/8zQe71Eyk1V5mOBgNWtXtH5b0n8hsJfBnkcCRTgkIf0Tnl+VIKeD2tpKFWpT5HjUJfxPIKtofpJOJM+vpeq+Gfj3357rXsRi32Rbzu+AsDOyM+d3OnaQQ/Jhxu+gcPXeT9LBDsnOgOAzAEjTdLbQG0kHh3exJ8Gwd8HTCVrfCjpzYLUnRDAaB5/x95rlkHCQmmNX/D1sVQ5nPYe3H1TRd0//VPtVUmsHsUpqvfDCC/Hhhx/i5ptvxpYtWzB+/Hj86le/wsEHHxx104QQQojeoSEbADHrkADArFmzMGvWrKibIYQQQogSErsOiRBCCDGg0BMSAOqQCCGEEJEih6SDiuyQJNMeEt1kl7C4GiS1Mqw+sghmLZ9h+YpET1rftb2ywlEN2BWMZt1cDjGO/zoorDacz/pX5qAkl9TK8rF1KLR8Ouu/rbjiLu+Pw828IgKOWFptz/nbkqQqsrl88EWVouWrSYLdRSWtayzD0E8VpQnWkniaMX7RlCXYoG39Ldvom96d9wu5u6mtXL33k4x/uiXjl2B3ZoIjBHal/fPbSGLNUMXefEGlcasaL086BHkOabQkV75/2DF3XHLO7QVh3bvBAq5V/dd1O/BvAzI0O8lt50BK2l7Bl4+Xjn/YWJyoyA6JEEIIUTYoqRWAOiRCCCFEtMghARBt0oUQQgghBIAKfUKS2OMhuffxFj3lSnEFr4Jep2N43Boq9RyZOjw26hrb5Ol8VT92iV1BaFbwWfDyxhGGZO2e57v2V7h8ipwRrr7FwWTWrsJ9zumM/7ZiD4M9DnZGOCjN2n6BF5LJ+y8ydkI4WCxJx5JzPObltqfoRNUl/cX2nMX9yBmpzfsH/LngXbBD4p/HxfHYIdmT8zsdLVm/I/JJuz/4bAcVx2tt92+PaUuTM0KF2fIZ+kJo2zedIFeBw7ySDpfBKvTJf2paX0785RO4eUvqChNeZhfXC96Wdbs5bj+rkCD7NK7vIuvP8oL2tvXPMIik1g4qskMihBBClA0asgGgDokQQggRLSV4QjIQOiRySIQQQggROXpCIoQQQkSJhmwAVGiHJLUHSO4VoVhq5fCzoJPMvhN7llbgDk2ztOoIA7OLzgYHq1lwxdwCKZYfF7rCwiyKll6D5zvDkQKwFFbHxgydGGNvwT+f2p6h85BOklhKwWxJsvKyXAWaKBRVed0cXXTZnH86R9vOO6q2soDLwWh7cn7RM8s2JrE74V8+kxnim96R9YulQUFrLLVytV5uG0utu7J+wbaFqvWyxLq7LVhqzbR3H3wGAGj3n4vCCrwsrfLHmPC7wzD0zW3dvy5RlOcjGCs/j4MMeYWCNywBlgXbIqv9Wt8VFIyWpGnrswoYJ/DSjn2Xigg6JCtXrsTtt9+ONWvWYMuWLXjyySdx3nnn7ducMViwYAHuuecefPzxxzjxxBPxk5/8BEcddVSRDe0eDdkIIYQQFUZrayuOOeYYLFmypMv5t912GxYtWoQlS5Zg9erVGDFiBM444wzs3Lmzz9pUkU9IhBBCiHIhip/9Tp8+HdOnT+9ynjEGixcvxg033IALLrgAAPDQQw+hqakJDz/8MC6//PLiGtsNekIihBBCDBBaWlp8r3Q6/LjThg0bsHXrVkybNq3zvZqaGpx66qlYtWpVKZvrQx0SIYQQYoAwatQoDBkypPPV3Nwcehtbt24FADQ1Nfneb2pq6pzXF1TkkE2qDdjrHbIwldzjn/bJZWE9T1d3j4tcksjG7iVvzyp46xAUWXotrDJrpR2yIcUVOcNiCb20fSseldd37D/gcaWXDbkue5mWBUcCoj/QEzlK5GxP+G+zBB07i6M8n8lkC6RWR/XeHEmtCVo+76j2y23fnfCLobVJv+hZnfRLqHwd5ekiTpEku5PSU6tDSK0ftful1jaSWNuo8vGujL/tXK13N0mt7e3BX5e5NF04NO21+6+bwnRWllbdSas0yYG2tH6o6rxd4HGF3lBJrY5tuYRbx+1LYcGWxMpY1YADfnwQR6l18+bNaGzcV/m6pia4SnUQ/AMAY4zzRwHFUJEdEiGEEKJcKKVD0tjY6OuQ9IYRI0YA6HhSMnLkyM73t23bZj01KSUashFCCCFEJ2PGjMGIESOwfPnyzvfa29vx4osvYsqUKX22Xz0hEUIIIaKmn4PNdu3ahT//+c+d0xs2bMDatWsxdOhQjB49GnPmzMGtt96KsWPHYuzYsbj11ltRX1+PGTNm9FmbKrJDktoDJD8dc+Wxz6rd/qsiW1s4oOhflte1Cmg6nj/x/ASP87qq/fIGXfvjasIFzwg9dkQ4bCjHY4m0OB+7Y76hg0/wGDh7GrnguzXwcafDrbEdEv8bhsdR+bxkgsPHshSM5tH8HH8W1oXgJ1sQjMbrcrXdPJ23BI3f28Fowb5LKuk/Uexl5Okmac9x5WP/+hy0xmFlQQ4JVx7mar3ctgxVPt5NDgk7I+m0f33LEWHSdB4p7CzQIaHr3wpJdHkW1v1D8x0Oiit8zLl9a4Xu983bsqZdvgxdEuzfWD4Oh1/uCb6/fW3nbfUVEQSjvf766zjttNM6p+fOnQsAuOSSS/Dggw/iuuuuw549ezBr1qzOYLRly5Zh8ODB3W2yaCqyQyKEEEKUC1HkkEydOhXG6vkWbM/zMH/+fMyfP7+4hoVADokQQgghIkdPSIQQQogoUXE9AOqQCCGEEJESxZBNOVKRHZLUHoNUtuPssaCYbCfhqcBjcwadcRVYV7VfDughZ85a3xWM5mifVUE0030wGlew5fksT1pZOa5qvQ5Rza7I6ZBuA6oHO0OheF/JYMMvX0NhX9y2JEmuJL2yzJyjxicd+88VBKPlSYA1FHTGUmueJFVXmF6GhNw0BaW1pYLDxhJ0bNUkxbKYujvrDzPj5YPW3dHuD1VjibWdptva/ftiiTVL0xx0xngOqTXR3v095ZJGHQWnbTHUIcG6KpVbOO7vwPkOwdY1nXSEk3HQGQelWeGXNN/LB3gUmQHwv3yMqMgOiRBCCFE2aMgGgDokQgghRLSoQwJAv7IRQgghRBmgJyRCCCFEhEhq7aAiOySp3XmkqjrMqVwNiWdZ/1ktFKYssdJKO2QhNnh5q9qvQwS1EkItGROB8PYLN2dLq9QWrgbsuvhd0htNFwq2PVrfIf0Vngqn1MpCL8vFDtmYq5caOpZ8kk+Mv7Gc3OoSTfPZfQ2w9s3rBqTzfvqGb5Ldygyl1rbTsexo86ej8jXJ1zBXJ67i5NeMXzTl5YPW5Wq9Wap0XFglGQAyVJU52+b/OuQE3kQ6+IGylcya615i7Zjf9b+7xJVe6qqWzdMswTqkVqsodBhJNmTbWWK1klip7ck0fWeTIM9Sa4JE1VQbJ7cWTGSKLJPcUzRkA0BDNkIIIYQoAyryCYkQQghRNugJCQB1SIQQQohIkUPSQUV2SKp255BKfToQ6fnHkXl8MVkwRm94rJ+dDq4Ky+6BozpwwhGExuPz1uim44Lk4fjCSZcjwmPcATWZum5cUDlQ2OO+1vpWChxtLSBcKez4PJ+3nD9vC4ksnzhank6kSTrECsshcXy4BW4EX5OWM8JVnB3LW7siz2KP8QefZVL+D9cK1KNvyVQyHzidzvi/koIcEl53d5u/bVzJOEdOSa7df2yGpq2gs/bgz8pyRhxVbRMhHBLL8XIEo1mek0uFcAWj0T0RpnqwdW+yE8LOiCPojJ0PDrPk9fl7N9Xmb5DH3mBBZXEv6/ryKBF6QgIgRg7JwoULMWXKFNTX12O//faLujlCCCGEKCGx6ZC0t7fj61//Oq688sqomyKEEEKUjL1DNsW+4k5shmwWLFgAAHjwwQejbYgQQghRSjRkAyBGHZLekE6nkU7vG6BsaWmJsDVCCCGE6I4B3SFpbm7ufLJSSKI9j0S+Q2xKtQZvozDczJZYaWFHkJlL7HQGcDnEM+MQ16zgtELxjKU4RwXO4qVWPyyiWftjic8h3Rb+tWDJhdw02lfOn80Fw3eJJfCRoEufcz7DJ5K2x1IrS7C8+2zhNekK32KplYPT/JOGRnFz1JQcVzKucqTx0YnKkojKoXC5LImkAQl8PK+dqvOy0MuVkE077auNqjJngiVVqz18nQUEofG0Szp1Xe+hq/1aOwiezcfmDDsrmOZgMybJEitJriyt8nRVK11TXKGXpdY9dDABiZSJrILR+pNIHZL58+fD87zA1+uvv97r7c+bNw87duzofG3evLmErRdCCCGKxyvRK+5E+oRk9uzZuOiiiwKXOeSQQ3q9/ZqaGtTU1LgXFEIIIUSkRNohGT58OIYPHx5lE4QQQoho0ZANgBg5JJs2bcJHH32ETZs2IZfLYe3atQCAww47DIMGDQq1rUQ6h0SuYxzRy9H4I4/7FpxkHq9nryGfY8mEdhwyzIin89XBD+X6srgejyHnXWPeIYdeeZzZFbzEY9hWflbBtDX+zfXl6HPmgDrjCFpyLc8F8FyukeV9MAXz2cHgxCzn58jD5xT6ZlI8AE/OByd08TXPoXEkNyTIKclTATwvIBjNI9cmn6agMyuojKY5xM3pfLiC0Xo/HTYYzcrWs1yg4PWtPDzHJRfkaHW1fuHy7IcxbmeElyeHZKc/VdEj8Ynv12QbLU+eSL5633+LiX4KRlNSawex6ZDceOONeOihhzqnjz32WADAb37zG0ydOjWiVgkhhBCiFMQmGO3BBx+EMcZ6qTMihBAi1pgSvWJObJ6QCCGEEAOWAdChKBZ1SIQQQogIkUPSQUV2SBKZHBL5DrGJw5K8tF9iShUkgJkUBStZUisJeRzExCJalX9+ns5GjiVW64rj4CcEw4FdhW0JkEJ7Mp8Je3NwOJJz+9y+gOCmBFXz5Lbx52xJpvS5Oasys8TqkJU9rhIdEAYGAF6BkWhXdQ0O83JVgbXC/BiWXl0CLjuvLKJS0BoojCyf7H77LLW6JFbwNJudLgk2rHgaQmq1pHHXtvk8Bcj4AGx5OaTUytvn+9VymQvvP0cwWsIlsVJ1Xqu6L31nJ9rYKqfzuIfms9Re+O9cP1X7FQAqtEMihBBClA362S8AdUiEEEKISNGQTQex+ZWNEEIIIQYuekIihBBCRImGbABUaIfEa8/CS3aYil6WpTq/xJQMklrJbrTkyTwlR5LsmKeqlLlaR1VYy0RjQTDYTAtyJS0plEROSyJ1VDJ2CoCcBMsemmt9mp/I8WdfuG2uphsskVqJvAFVkruathN3Sarj/fH2HOfRl/DpqN5riZmuZFean7cax40Jnu2q0mx9iZI0y2mqvlWp5LQtsSJ4Pni+f9qq3hvymnRuLx+wLG/bIR/ztl2fu+WMO84jF6Bm8dQS9n1JrcH/U6Y4qdUpsfrnJ9r9B+9ZSaz04bCoyl9mBd+zXs6/rb5CQzYdaMhGCCGEEJFTkU9IhBBCiLJBQzYA1CERQgghokUdEgAV2iHx2jLw9gYypUgQyNCYYfs+ucFLsRNCTkmOPk5TRTv2D7RmG/zLm6zDZXANsJngK9IEjMdbY9gcpMRj1I7KwtZ4Oo9hs0NCY9LshPDNZo/v0zhztvDf/nnZWtoWh32xA+JwSJzVf/ljd1SNdgXcFX62rqAzy3twOCfWfMeXnFU1lrB8GTpYvmTZ8wi6pK0xc5c/46hMzNeBywmx2uMKQgs4N65tu69/Wt5xXViOimP/fJ2x12E4fKzgBmffhOHqvVa1X3JGkhSE5qX9AprXTkLa7j3+6QBnBPDf3l7OUapYlJSK7JAIIYQQ5YKk1g7UIRFCCCGiREM2ANQhEUIIISLFMwaeY8i9J9uIO/rZrxBCCCEipzKfkGTa91X25BK7LEQV0kZBTFSp1MvW+KdJtMzX+veVaKdqvxSIlSATzXCJTxYCHYZhnk3SAsGQJdI8bcs1n2GR1ILkRiv8yLE+B6lZwWgF03YIG6dGUdNcQWnBxXyd1X3tar80P0SlY1cAVrHVfp0etWsBlmRZEHZIrUHPoQ1YpAzeFs+3JViadlWUJsIGq/nCw/j+4mOjv37zLGJy26zvBqu5wW2zBHv/fCsYje6ZwmNjaZWxpNW24OCzRJqCz7i6bxslreXp4LP0wwW+AQuv2bzDyC0VGrIBUKkdEiGEEKJMkNTagYZshBBCCBE5ekIihBBCRImGbACoQyKEEEJEioZsOqjMDkk6s09cypHwlOGyswWCE4llZo+jqiQlu3osrdL8ZIoNRa4uzFccp1qGE0kLu9R2JVKWRIPnMwlHkUxe35JaqUKoJaZyZWWaLpyfp881waVLreTV4GrAdtVlwiGxOqsDh0jBdUqtLK06luf5DhcSCZZWCevY+Rqle8Lj6yYoXZjPo0NitYRZx2dVdFJriO3Z1X6Dk4r5ErTuV1dVZUsI7l5KBQCPvhZZVLVk6QJJN+mo9utKYrWkVqrm65RYre/tNmosfRaF03kltfYnldkhEUIIIcoFDdkAUIdECCGEiBQN2XSgX9kIIYQQInIq8gmJSadhPu1OetUUPsbBaAEOCSgYjf0Tq+okj5dXUdVKCuyyxucth8RPUDXfTxfw769geQ5xM9xWnu+QCzi4zHIbqBAyj0lbjgivn6HwpIBxaktjcDkkltPhCusKTkqzthesCoWr9utwQqzwL8ehuPQYPlRX5WM+trxV2pjPe8+9KOt6DxmMFtYZKbbab1BQGs/jS8A6r/RGaFeIvwucnw0v73C+CtZnR4RJtpEjQm5eop1cParuazkjPE2eoHEFpRVUAzZGwWj9SUV2SIQQQohyYiAMuRSLOiRCCCFElBhjP4HvzTZijhwSIYQQogK5++67MWbMGNTW1mLSpEn47W9/G2l71CERQgghImTvr2yKfYXh0UcfxZw5c3DDDTfgjTfewBe/+EVMnz4dmzZt6puD7AEVOWRj2vZJrSxAWVJrgVjqVVeH2xFLrgmqDpz0J2AlWJLlgC6rcCpVC3aElXE14MJCx5a0agl5wRVwGataryXRUbVfEt8sqZWDnzKuyC7f1vzrktTKh2J5l1a33VH91yW1Bm/OHYwWotqvbUfSNC/vCnFzSKuuysXsZbOYGiYYzRls5pBWGQ7zCyu1JkJKsoX3FN9/CeuDp+ufLlprXz0vmtz1+twe67MJlmILK/Zy0BnD1XsTaf5xAO2cg814qIK/0/ki5KA0/t4sCFqLo9Ta0tLie7umpgY1NTXW4osWLcKll16Kyy67DACwePFi/Nu//RuWLl2K5ubmIhvTO/SERAghhBggjBo1CkOGDOl8ddW5aG9vx5o1azBt2jTf+9OmTcOqVav6q6kWFfmERAghhCgXvLz9lKk32wCAzZs3o7GxsfP9rp6ObN++HblcDk1NTb73m5qasHXr1uIaUgTqkAghhBBRUsIhm8bGRl+HJAiPtQBjrPf6k4rskOTTaeQ/7U4meHzRTnLq/Y4yHLhDxfay5JC0OwbkaZJHZhP54AvJ+lVYwTQ7InnyGNjpsDwHDrjioDLeN62fbPefB3ZErCAmKrhlUt2LF7mqbmd1rFvk/edZx87F+Rz7C9YF7P31p0PCizva7gqZs/4I5KKJjoCwICwPwuGYWA6KKxgtRGAd0FUQWvcFK9nRyCPY0eDP1eV48f2TpxPF61vOiKP4Hqz19zXYOu4sB6GRM9JGHl87eRz8nZzji4adEsc0/R+QL3BY8mZgFtcbPnw4ksmk9TRk27Zt1lOT/iQWDsnGjRtx6aWXYsyYMairq8Ohhx6Km266Ce18oQohhBAxo79/ZVNdXY1JkyZh+fLlvveXL1+OKVOmlPjoek4snpD84Q9/QD6fx09/+lMcdthhePvtt/Htb38bra2tuOOOO6JunhBCCNF7IghGmzt3Li6++GIcf/zxmDx5Mu655x5s2rQJV1xxRXHtKIJYdEi+8pWv4Ctf+Urn9Gc/+1m8++67WLp0qTokQgghREguvPBCfPjhh7j55puxZcsWjB8/Hr/61a9w8MEHR9amWHRIumLHjh0YOnRo4DLpdBrp9L7flPPvs4UQQoio6U2wWVfbCMusWbMwa9as4nZcQmLZIfnLX/6Cf/7nf8add94ZuFxzczMWLFhgve+lquB9Wm6WQ3E8K92oQLPhKpEsnToCrexqwPTxJ6n6L1fcJeOHd5dPBStB7HIVhlR5JK0m+VBZas2xGEZt4+AylvLo2BIUnpRgqTXrCDeiNDKTCjBVi5XIQ974XPnYFTbmrPYbQmoNXQXWJbWyoMtBZvzZsnzJ26OL2BJDg9oSIGkDPQhKi7jab+G0JX56wVJqUOVgAF0EEdK+WZp1CbiWSOqYXzjN37F8L1vVeakxOcfy/F1grU/TdIN5KbLeC75oPQOAr/G+oIS/sokzkUqt8+fPh+d5ga/XX3/dt87777+Pr3zlK/j617/emTDXHfPmzcOOHTs6X5s3b+7LwxFCCCFCE0V0fDkS6ROS2bNn46KLLgpc5pBDDun89/vvv4/TTjutU8Bx0V1krhBCCCHKi0g7JMOHD8fw4cN7tOx//dd/4bTTTsOkSZPwwAMPIMEFQ4QQQog4EsGvbMqRWDgk77//PqZOnYrRo0fjjjvuwN/+9rfOeSNGjIiwZUIIIURxRCW1lhux6JAsW7YMf/7zn/HnP/8ZBx10kG+e6UWv0KtKwvM6Dt1QuJrJU2VYllxLCQe7Udooi20JmuaWcSVVxiOjMV+Q7GolPea4CisntdJ8Tittd4lndGxtJLVyhU+u4Jnk1FuaX7Xv0jauKGQrETek9eqQK52VVnnaEQ4ZTmqlz51lSUsODq5kbFXzDZnUahVmdaSlBn52LMQ6pFW+YazPiqVTFkFDS609F0f5/nMl6nJVZKsaNqc28wfPVZat9YMlWm5v0PqWxGp9LmzE04lN0fwsJ2DTd3aV/781qzI5Sa5chd1X4d3k+0dqFQBiktQ6c+ZMGGO6fAkhhBCxxpToFXNi8YRECCGEGKhoyKaDWDwhEUIIIcTApiKfkHipVKdDwoPYVqhOGIqpDAzAayd5gLuLpJwkKFXKOM5mnsaNEwW+jEfhQx5XC2VHgx0TDl1r5zAiHgTnYDQOjfMP3HLwGao5lC7AfbDCukpbXtv6y8QxXu+8SlwLFAbauda11ITgQDuu0mz5N+yEOKYt0Yn3R7PZswgalbUKGRfpkLjCxlzBaFbFXId3UVhRlx0tS2viz4HnWwF4tD0+7a7gNEc1X8sZsSr6Fjgk5H/xtOWj8VWR56uEvugsMYn2xx9mVXDAZeHyniulsFTkTdH/fxS9fhlQkR0SIYQQomxQUisADdkIIYQQogzQExIhhBAiQjyUQGotSUuiRR0SIYQQIkqU1AqgQjskXlU1vER11zOzJCBm9plnHCLV13hpTj9y9IEd/lWCjMPCw/G4Oi9LrSS9ugK2WEpl6c1av42EXv6sqzgFiyXW7hO8rGq6Rf4pYQmCJV6/nH6+lyDZ0g4+Cw5S42q+fGiWmBoiGM0abw5Z3dcSfvu42q8VZlZwT/D9kWDxmiVSh9RqfVW4ZGdHdW9LYnXNLxRL+d7nIDOraSSl5uhMW+l8HLwWnOZnfY/z9nL7Llrrmukj9LPfDuSQCCGEECJyKvIJiRBCCFE26Fc2ANQhEUIIISLFM6ZoJaC/lYK+oDI7JKkkkOgYJ/RALgkHcIUttNaPeBkapHaMd1qF1AIKYFmOh6sgFYcRORwS63Ol9UEFsvi8cJgSOy8+t8FxDl1OidMZCVtcr2iHZd8GDRwuT0hfxQoLY7WHT3uw2uMspucKRgszhO90RFzTDgfEKoAHnh+8fNA0z8vbSWb+dR2OiQsutGk5Khx0xtcVBymyg1K4Pt+rhIHDKaGvAg5W62IB/3Q+XEij78TzBS76lMrskAghhBDlQh7het/dbSPmqEMihBBCRIiGbDrQr2yEEEIIETl6QiKEEEJEiX5lA6BSOySpJJDo+tC5yq1PeMpSslFYihVkHY/kPFf7rJSqAqmVBVkOL+Jtu6RWR9CZ9UmQxMrSqjXNkis/6yuYtqTVPvaUXdV/LRGVNxCq2m+4lLZiw5O4GnDSUe3XqjDNkitvP0SxbZdc7AxGI1wSqzsYjcPDXPNNl/8GAM+q1htOenXbxQicb7XVJb1y1fTC+zUffMN51BhLck06gtVY6LWEeYcAHPSdz0JsX6GkVgAashFCCCFEGVCZT0iEEEKIMkHR8R2oQyKEEEJEiYZsAKhDIoQQQkSKly++kF9/FQLsSyqzQ1JVBSSqOv5tVXqkRNLCqrEsP+VidgWQuFqYeMhJrXx1exky9NhmdH0WLJKxxJqi7SVJwGWJNiiZFZQ0W2qJ1ZH4aUm0VsFch+Qa5i+dEALspzsvbn0iQZeFJRez0OuIxeUv1SDJzaoU7Epq5Uuc3UZOUmWP2+E32stzMivtv2A+X78Jvh/5WBIOqZQ9TT4PHEhtSaucxBosjtrbK5hwhJ1aEqvH9wdvmyRYDmrl+4er/6YcUmvhZ8upsKJPqcwOiRBCCFEuaMgGgDokQgghRLQohwSAfvYrhBBCiDKgMp+QJJO2o7AXazxxX5/NY9+ExyLj5pQU4gpWYnhMmdfn6ZT/8zY0zefDCkJLOar9WhU70S2uoDRX9V8nIb2NYsLNbFcgeNpV7TfsX1kclGadF+uyCP5w2FXgYDXfvnlLDofE5f6wA2JX/3UEE1oOSvdBaAA5Jhwwx2FePMnbZgfEdeIdDonLEQntIgVgbco6T8GhiNb67H14/u8W5+1d6JDk+qfar2rZdFCZHRIhhBCiXJBDAkBDNkIIIYQoA/SERAghhIgSA/t37L3ZRsxRh0QIIYSIEDkkHVRmhyRVILValSE5gKug2+qqoJmMWGot4e6LvrhZGuYgNYekalhytYLP0PP5QdU8S4ElqQbPd8121qTwVfsNt6++rneRaCe5kr5hbEmV5UzeYvcNzluBcsGrWuIm4ar2y9IrYwWfsXhK2zNB1yHdPq77kcP1rMF4q6yyY33CVVy4pH+d8zXCwWf8OVrzA4LO4G6q77P2+kdqFR1UZodECCGEKBcMSiC1lqQlkaIOiRBCCBEl+pUNAHVIhBBCiGjJo/iaWzGOwdqLfvYrhBBCiMiJzROSr33ta1i7di22bduG/fffH1/+8pfxox/9CAceeGDobZlUAmavZOlxUmT3Sa2WHGmllXKFTprvkOrKGleSq5XEylGQruRVlmBZcuXzEizxFUquruTVsMmsrhBMewe8geDthdl/6ORVV2psyGm7cf7JRIYXcCW1Orbv2xRJoyGTWXk+S6yeldwaLqnVki9D/PlnV5B2SKdcQZq/11jspPvHSgsmnMmx/NUX5k9dbit/blasbPB5Mg4D1/ok+bupIOnVeP3zN7t+ZdNBbJ6QnHbaaXjsscfw7rvv4vHHH8df/vIX/Pf//t+jbpYQQghRHHsdkmJfMSc2T0iuueaazn8ffPDB+P73v4/zzjsPmUwGVVVVEbZMCCGEEMUSmw5JIR999BF+/vOfY8qUKYGdkXQ6jXQ63Tnd0tLSH80TQggheo5+ZQMgZh2S66+/HkuWLMHu3bvxhS98Ac8++2zg8s3NzViwYIH1vqlKdjoL1tgqj5UWjGd6Tock5HSCxYd+vqDC7K/Kf6lYY9qW4xEy+IydEw4642nenhV+1s2/UYJqvoSzoi6C55dy3076+xIL6ZRwOFmonx64/BeHn8IughWM5nJIKAjN8jRCfPZ2fpxjZUdwIL9hzef7h7G8J/Y8ijhWy5ehprEjwtvm7w7L3XM0wAq8LPDPEv0UjKYOCYCIHZL58+fD87zA1+uvv965/Pe+9z288cYbWLZsGZLJJL71rW91Uc58H/PmzcOOHTs6X5s3b+6PwxJCCCFESCJ9QjJ79mxcdNFFgcsccsghnf8ePnw4hg8fjsMPPxzjxo3DqFGj8Morr2Dy5MldrltTU4OamppSNlkIIYQoLcohARBxh2RvB6M37H0yUuiICCGEEHFDP/vtIBYOyWuvvYbXXnsNJ598Mvbff3+89957uPHGG3HooYd2+3RECCGEEPEhFh2Suro6PPHEE7jpppvQ2tqKkSNH4itf+QoeeeSRXg3JmGRin1RpJfp0HyhkCa8h5SlLBCt11dkiMFVcXtQlubmCy0hqdQSjWVKeIwjNklytoLSeB6P1N0VX3C1cP2TQGX8WziC1PoYlV1dFXlraPxkyKM1qC1fnpbawtOpqDhPqOrTMaNfGw+3bUXS5iw24LqSQ2yuEvjf5vOW5mi/vm2Vj68cDCJ4OaI8VytZXlLnUunDhQjz33HNYu3Ytqqur8cknn1jLbNq0CVdddRVeeOEF1NXVYcaMGbjjjjtQXV3d4/3EokNy9NFH44UXXoi6GUIIIUTpyZvi/1LpwyTw9vZ2fP3rX8fkyZNx3333WfNzuRzOPvtsfOYzn8FLL72EDz/8EJdccgmMMfjnf/7nHu8nFh0SIYQQYsBS5k9I9sZnPPjgg13OX7ZsGdavX4/Nmzd3lnO58847MXPmTCxcuBCNjY092k9souOFEEIIEUxLS4vv1R8//Hj55Zcxfvx4X225M888E+l0GmvWrOnxdiryCYlJJvY5DK7xyMLgNHZIwjojPE2eRV87JoHb565pWIfEEZRmOyQ9d0CALoLQHGPivmluGx9a2M/ZMZ4eejg95ArFFNezjjSsO1AkLofFDsUKk7AVPNv+bIKDz6wgNVd4WCkJ+fjdWtp1TfH94ti+h+D7z+mYBG88sDFhd2U5JrxCzvF3eMHsfnNIUIpaNB3rjxo1yvfuTTfdhPnz5xe57WC2bt2KpqYm33v7778/qqursXXr1h5vR09IhBBCiCgpYXG9zZs3+wJB582b1+UuwwaTuvC6+MPOGNPl+91RkU9IhBBCiIFIY2Njj5yNsMGkQYwYMQKvvvqq772PP/4YmUzGenIShDokQgghRJTkDYr+zX3IYb5igkmZyZMnY+HChdiyZQtGjhwJoEN0rampwaRJk3q8HXVIhBBCiCgx+Y5XsdvoIzZt2oSPPvoImzZtQi6Xw9q1awEAhx12GAYNGoRp06bhyCOPxMUXX4zbb78dH330Eb773e/i29/+do9/YQNUaIfEVBVIrUESK/yekcdSK8PXg0NSskTQvg5O4+1z+Fghjn1bbXOIoq7qvLbU6p/Mu6r78rEUTDpDoZiQQmDYar+MU0wNoNTVfosObSsxQefKYwnVJfSGDA8ruWEX5rOl6znq82Jcf31bN1mYjQdbqvxdw3I+V4i2du1MAwxomifNEgBuvPFGPPTQQ53Txx57LADgN7/5DaZOnYpkMonnnnsOs2bNwkknneQLRgtDRXZIhBBCiLKhzHNIHnzwwW4zSPYyevRoPPvss0XtRx0SIYQQIkoicEjKET2PEkIIIUTk6AmJEEIIESVlPmTTX1Rkh8QkvU7J0pIjgyqG5lwVN0katebTdBEeWG+w0xy7Px7jenZmJbU6ts3H6kpypf27JFbLqStcPupqvyGl2NDbCyB0td9+xi4a60jZDEOxaaSlviPDhJeGDT51mdRh5zMhJVunBOtb2HGiQkqvDEuwYAk2QJo1/VUq3KAEHZKStCRSKrJDIoQQQpQNekICQA6JEEIIIcoAPSERQgghoiSfh7Naa4+2EW8qskOSTyWQ/zQYzRpfzPM48j68hGvgtI8fmbmC0sLuP2h7rl252sIOiMMRcTopVjAabz94OtS+HNhBaOQdOT68Yq+SYrwP57pBDlWvdsjbD7t+z0+Oy/kIr2FEJx85q+kyYcP+Qs4P7bSEOG+uYEH+f5o/ClcVZ0MHZxV7s7SlfW/k+2sQQUM2ADRkI4QQQogyoCKfkAghhBBlg56QAFCHRAghhIgWJbUC0JCNEEIIIcqAinxCkk96yKc6xCXPsiG7l/rChuRYwizhqmJZ6mq/obYfcteuYDR7Pk1z9V/H8lZQGhNQ7bfPsay7CCu3lvoxbh9LrmHOlfU5OqtnO7ZH0yW/bor57JzhX7QrV0XqkAF57mA2vuYdy/vWdcx3yvw07fixiTP0sXBT/fTlYUwexhT3K5li1y8HKrJDIoQQQpQNxhQ/5DIAHBIN2QghhBAicvSERAghhIgSUwKpdQA8IVGHRAghhIiSfB7winRA5JDEE5PyYD6VWrsogetfNmhcz9khDZYZbV+qrwWqMMZgyE07JFOnpBoy+THU9sIKtiFxntcI/3Ip92q/xSS5uiXVcCe25NV9mWKEXQeuz6LY+UU3IHBd13yXcUvTLuE9zDXWb9V+9YQEkEMihBBCiDKgIp+QCCGEEOWCyedhihyy0c9+hRBCCFEcGrIBUKEdEpP0YD6tHmudQj6pye7HEEOP84ZbPFKKHjp1hBm5nZHg2a4gtuBlHft2YZeF9U+W8YkO3bb+PpZizk0RIWsd+44wwI7o9zA/F8VWGw7ctmsBx3dJ2CLnYRySfLmdiIFNRXZIhBBCiLIhb4rvAesJiRBCCCGKwhg4M+97tI14o1/ZCCGEECJy9IRECCGEiBCTNzBFDtmYAfCEJHYdknQ6jRNPPBFvvvkm3njjDUycODH0NvLJjlfX9F5iKmeZsSsiFedCVjIOLyiGXL5wX2GfG4Y976WWassI/uyKDZ8MRYmv5zL+mPufElceL8RyxPv4g7f+4w6oEp3vr+vX5FH8kE38f/YbuyGb6667DgceeGDUzRBCCCFKgsmbkrziTqw6JL/+9a+xbNky3HHHHVE3RQghhBAlJDZDNh988AG+/e1v46mnnkJ9fX2P1kmn00in053TO3bsAADkMm190kYN2YRgIA3ZhGUAD9kw/TpkU2pi9DkPJPr8ezTEkM3e/yv62s/ImnTRQy5ZZErUmuiIRYfEGIOZM2fiiiuuwPHHH4+NGzf2aL3m5mYsWLDAen/NrxeWuIVCCCEGKjt37sSQIUNKvt3q6mqMGDECL239VUm2N2LECFRXV5dkW1HgmQjV3Pnz53fZYShk9erVWLVqFR599FGsXLkSyWQSGzduxJgxY5xSKz8hyefz+Oijj1BVVYXRo0dj8+bNaGxsLNXh9CstLS0YNWqUjiFidAzlgY6hfBgIx7H3GDZt2gTP83DggQcikeibR6dtbW1ob28vybaqq6tRW1tbkm1FQaQdku3bt2P79u2ByxxyyCG46KKL8K//+q/wCh6t5XI5JJNJfOMb38BDDz0Uar8tLS0YMmQIduzYEesbRscQPTqG8kDHUD4MhOMYCMcQRyIdshk+fDiGDx/uXO6f/umfcMstt3ROv//++zjzzDPx6KOP4sQTT+zLJgohhBCiH4iFQzJ69Gjf9KBBgwAAhx56KA466KAomiSEEEKIEhKrn/2WipqaGtx0002oqamJuim9RsdQHugYygMdQ/kwEI5jIBxDHInUIRFCCCGEACr0CYkQQgghygt1SIQQQggROeqQCCGEECJy1CERQgghROSoQyKEEEKIyKm4Dsndd9+NMWPGoLa2FpMmTcJvf/vbqJsUit///vcYOnQoDj30UEycOBGDBg3C1KlTo25WKOJ6DDt37sQJJ5yAiRMn4uijj8a9994bdZMqllQqhYkTJ2LixIm47LLLom5OaAbCtfTuu+92noOJEyeirq4OTz31VNTN6jHNzc044YQTMHjwYBxwwAE477zz8O6770bdrMrGVBCPPPKIqaqqMvfee69Zv369+c53vmMaGhrMX//616ibFopp06aZdevWGWOMOfTQQ82ePXsiblF44ngM2WzWtLa2GmOMaW1tNWPGjDHbt2+PuFWVybBhw6JuQlEMtGtp586dZtiwYWbXrl1RN6XHnHnmmeaBBx4wb7/9tlm7dq05++yzzejRo2N1DAONinpCsmjRIlx66aW47LLLMG7cOCxevBijRo3C0qVLo25aKP74xz/iiCOOwM6dO5FMJmNZTCmOx5BMJlFfXw+goyBWLpeDMSa2T3w+97nPwfO8Ll//9E//FHXzQhOn8zDQrqVnnnkGp59+OhoaGmJzDM8//zxmzpyJo446CscccwweeOABbNq0CWvWrAEw8O6PWBB1j6i/SKfTJplMmieeeML3/j/8wz+YU045JaJWhWfHjh1m3LhxxhhjVq1aZc4777yIWxSeOB/Dxx9/bCZMmGDq6urMkiVLOt+P4xOf9evXGwDm3//9382WLVvMpk2bTCqVMr/85S9NW1tb1M0LpKqqyhx33HHmpJNOMitWrOh8P07nYSBdS+eee655/PHHO6fjeAx/+tOfDADz1ltvGWPifX/ElYp5QrJ9+3bkcjk0NTX53m9qasLWrVsjalV43nnnHRx55JEAOv4iPPzwwyNuUXjifAz77bcf3nzzTWzYsAEPP/wwPvjgAwDxfOKzdetWpFIpnHTSSRgxYgQ+/PBDZLNZfPGLXyz7yOyNGzdizZo1+D//5//gW9/6FlpaWgDE6zwMlGuppaUF//Ef/4Gzzjqr8724HYMxBnPnzsXJJ5+M8ePHA4j3/RFXKqZDshfP83zTxhjrvXJm/fr1OOqoowAADQ0N+PWvf42PPvoo4laFYyAcQ1NTEyZMmICVK1eipaUFdXV1qK6uxttvv93Z2Sp33nrrLRx++OGdX65r167FZz7zGavTXo4ceOCBAIDx48fjyCOPxB//+MfYnoe4X0tPP/00zjzzzM5ORxyPYfbs2Vi3bh1+8YtfdL4X5/sjrsSi2m8pGD58OJLJpPU0ZNu2bbG6wC699NLOf1944YW48MILI2xN74jrMXzwwQeoq6tDY2MjWlpasHLlSlx55ZWxfeKzbt06HH300Z3Ta9euxYQJEyJsUc/4+OOPUV9fj5qaGvznf/4n1q9fj89+9rOxOg8D6Vp67LHH8D//5//snI7bMVx99dV45plnsHLlSl/1+LjeH3GmYp6QVFdXY9KkSVi+fLnv/eXLl2PKlCkRtUrEif/8z//EKaecgmOOOQYnn3wyZs+ejQkTJsT2ic+6det8X7Bx+cL9/e9/j+OPPx7HHHMMvvrVr+Kuu+7C0KFDY3UeBsq1tGPHDrz22ms488wzO9+LyzEYYzB79mw88cQTeOGFFzBmzBjf/LjeH7EmYoelX9n7s9/77rvPrF+/3syZM8c0NDSYjRs3Rt20HgMg8BUHBsIxxJ1cLmfq6+vNv/7rv3a+N2rUKLN48eIIWyVE/3HllVeaIUOGmBUrVpgtW7Z0vnbv3q37IyIq7tv/Jz/5iTn44INNdXW1Oe6448yLL74YdZN6RWtrqxk9erS59tpro25KaDZt2mROPfVUM27cOHP00Uebxx57LOomVRx//OMfDQBfBs9Xv/pVs99++8X2nhAiDN39QfTAAw/o/ogIzxhj+u95jCgVN9xwA/70pz9h9OjRuOOOO6JuTii2bNmCDz74ABMnTsS2bdtw3HHH4d1330VDQ0PUTQukt/KzbrHSMhDOg45BCJuKcUgGEn/605/whz/8wfczuzgxcuRITJw4EQBwwAEHYOjQoWU5xsyYjieKvldraytGjx6Na6+9tsv5+vItPQPhPBS2a9OmTTj11FMxbtw4HH300XjsscdidwxxPQ+ivFCHJIZ897vfRXNzc9TNKAmvv/468vk8Ro0aFXVTesXChQtx4oknRt2MiifO5yGVSmHx4sVYv349/t//+3+45ppr0NraGnWzekWcz4OIHnVIYsbTTz+Nww8/vOx/StcTPvzwQ3zrW9/CPffcE3VTekXcn1QNFOJ+HuL6xJCJ+3kQ0aMOScx45ZVX8Mgjj+CQQw7Bd7/7Xdx77724+eabo25WaNLpNM4//3zMmzcvtj+7HkhPquLMQDoPcX5iOJDOg4gGdUhiRnNzMzZv3oyNGzfijjvuwLe//W3ceOONUTcrFMYYzJw5E1/60pdw8cUXR92cXjGQnlTFmYF0HuL8xHAgnQcRHRWT1CrKh//4j//Ao48+igkTJuCpp54CAPzsZz/zpSKWO3ufVP3yl7/Erl27kMlk0NjYGLvOYdwZKOch7k8MB8p5ENGin/0KUSQPPvgg3n777dj9/HqgEdfzYIzBjBkzcMQRR2D+/PlRN6do4noeRPRoyEYIISJk7xPDp556ChMnTsTEiRPx1ltvRd0sIfodPSERQgghROToCYkQQgghIkcdEiGEEEJEjjokQgghhIgcdUiEEEIIETnqkAghhBAictQhEUIIIUTkqEMihBBCiMhRh0QIIYQQkaMOiRBCCCEiRx0SIYQQQkSOOiRCCCGEiBx1SIQQQggROeqQCFGhzJ49GyeffHKX8w455BAsXLiwn1skhKhkUlE3QAjR/6xfvx5Lly7FypUru5w/btw4rF27tn8bJYSoaPSERIgK5Pbbb8cJJ5yAk046qcv5Q4cOxQcffNDPrRJCVDLqkAhRYWSzWTz++OP4b//tv3W+d/nll+O+++7rnN65cycaGhqiaJ4QokJRh0SICuMvf/kLdu7ciaOPPhoAkM/n8ctf/hKDBg3qXGbdunUYN25cVE0UQlQg6pAIUWF88sknANDZAfm3f/s3fPzxx6iurgYAvPbaa/jrX/+K8847L6IWCiEqEUmtQlQYBx98MDzPwy9+8Qs0NDTg2muvxVlnnYWnn34ahxxyCC6//HJ86UtfwimnnBJ1U4UQFYRnjDFRN0II0b80Nzfjhz/8Ierq6nDLLbfg85//PM4991xs27YN55xzDu6++24MHTo06mYKISoIdUiEEEIIETlySIQQQggROeqQCCGEECJy1CERQgghROSoQyKEEEKIyFGHRAghhBCRow6JEEIIISJHHRIhhBBCRI46JEIIIYSIHHVIhBBCCBE56pAIIYQQInLUIRFCCCFE5Px/wcA5gp8j6EwAAAAASUVORK5CYII=", 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