diff --git a/.obsidian/plugins/obsidian-excalidraw-plugin/data.json b/.obsidian/plugins/obsidian-excalidraw-plugin/data.json
index dc03cddf..e6382b63 100644
--- a/.obsidian/plugins/obsidian-excalidraw-plugin/data.json
+++ b/.obsidian/plugins/obsidian-excalidraw-plugin/data.json
@@ -45,7 +45,7 @@
"phoneUIMode": "mobile",
"iframeMatchExcalidrawTheme": true,
"matchTheme": true,
- "matchThemeAlways": false,
+ "matchThemeAlways": true,
"matchThemeTrigger": true,
"defaultMode": "normal",
"defaultPenMode": "never",
diff --git a/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.md b/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.md
index 607a20e0..0eb1a1ac 100644
--- a/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.md
+++ b/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.md
@@ -17,147 +17,163 @@ f9c478059e1cce4e96a58e13baac6bfbb4f93eff: $$[1^{1}X^{1}$$
214cc7890168fcc3649c7581bd637e267a6de7bf: $$[1^{1}2^{2}$$
-b18bdef3da0413f7746baa48a7e7f762a2e4916b: $$[1^{2}2^{\leq 3}$$
-
84fa363149df51fc341b5998c6b4e67ed3dbdb8e: $$[1^{3}$$
-3256cc1c40b0b8b24d0786b5ebf5ac8af8c6dfbc: $$[1^{3}2^{2}$$
+f49bf0b1178f855291cee484fe1921917621c6c0: $$[1^{1}3^{2}$$
-c8deffe9491fd6c3ae202ac1a71b19be49cae623: $$[2^{1}X^{\leq 2}$$
+c6ae105adef2251de3956c588d95fb1ed29d572b: $$[1^{2}2^{2}$$
-ff3aadee8b3edf557ea486d814e006d09ea0a1ea: $$[3^{1}(\neq 1)^{1}$$
+f7ab87077d1c10f7309f5bbce5c714d5f25bef0f: $$[1^{2}2^{3}$$
-774cbd1b3b01d8a0215e44a46a7b08a6c6d02c6d: $$[3^{1}(\leq 2)^{2}$$
+539b82e2e9bc43b1e2665050071a453e72116434: $$[2^{1}X^{2}$$
-cd11df8a779967be96188765734baafb07f336e2: $$[3^{1}1^{\leq 3}$$
+082b26651855e6e47f735b3481c3b45c1678ff69: $$2^{1}X^{\neq 2}$$
-3a05a3f287155fc16280dc58486ab230c358b267: $$[3^{1}2^{\leq 3}$$
+76483ecab4b1eb14f16fcd978d387e8ac0f6344a: $$[2^{3}$$
-ffd8bbb1f258e27c8d6d0cb5386c5dbe927d4d91: $$\left. \begin{array}[c]
-\\ \\ \\ \\
-\end{array} \right\}$$
+32a8965b6d15d90d3898edfdb7969dbd9a92f3c8: $$[3^{1}X^{3}$$
+
+cc5e37cfba585550da4471dd85852d6a38354787: $$[3^{1}X^{\leq 2}$$
+
+b752624b6df8d46597c3242c793dafa003ae9422: $$[3^{2}X^{3}$$
+
+848fe42b60268d03c05e522d05a9dd988119d57b: $$[3^{2}X^{\leq 2}$$
+
+98ffd4aa77ffc7c0ea17203a781a2cd621186d8e: $$[n^{1}$$
+
+8aef2acc0c00b47668a81c160807e1ab6d4b03ce: $$[1^{2}X^{1}$$
%%
## Drawing
```compressed-json
-N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebR4ARniaOiCEfQQOKGZuAG1wMFAwYogSbggOAAVSYgBBAEkAdmajODY2AE4E/AAzbAAGADUAKRTiyFhEcsJ9aKR+EsxuBIBm
+N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebR4ARniaOiCEfQQOKGZuAG1wMFAwYogSbggOAAVSYgBBAEkAdmajODY2AE4E/AAzbAAGADUAKRTiyFhEcsJ9aKR+EsxuZwBm
-bQA2RoBWLZXGgBYADi397cTDhcgYbmcE/qTDhI71hMODnkaX/fXLiAoSdTcE7aRqrL6glYdfo8Hg/AqQSQIQjKaTcfZJforLaJO5Y/awxq/azKYLcfq/ZhQUhsADWCAAwmx8GxSOUAMT9TlcsYlTS4bA05TUoQcYiM5msiRU6zMOC4QJZHmQHqEfD4ADKsFJEkk/I0gSVEEp1LpAHUAZJlhSqbSEJqYNr0IIPIbhSiOOEcmgEr82HLsGprt7Ob9h
+ABZ+7Q7GgDYAVh41vZWADh2ebYXIGGWEjp3tHcaEk73z/p4dnY+9q4gKEjqbh7NbaZ4rHYJNbgjofT5/SQIQjKaTcNZJforA4JBKYkGfRp/azKYLcfp/ZhQUhsADWCAAwmx8GxSOUAMT9TlcsYlTS4bA05TUoQcYiM5msiRU6zMOC4QJZHmQHqEfD4ADKsFJEkk/I0gSVEEp1LpAHVAZJuAkKVTaQhNTBtehBB5DcKURxwjk0NaCpA2HLsGobj7O
-aKPcwvagOEI1RSEAhiMsjit1ltDptfowWOwuGhYR0s0xWJwAHKcMTcHj9dM8Q5YnhbX5CODEXBQRPLZpHRs7fE136EZgAETSHaTaB6BDCvyFwjg9WIUdyAF1fpphKKAKLBDJZZfwwqHyBlCQADSEAFUAGL0ACaACtLzSANI0whbO9bgCKhAA4j0HT4EqJSTOI6DytSVCHgAvvCa7whARAcDS3AxnGiHMgKnaTtOCC/D05AZIuaGxvgvy6swAAqWB
+X9haLPcxvagOEI1RSEAhiFa1icIXszoS/QwmKxONwsXwc4wWOwOAA5ThiK0JfYrdbpv5CODEXBQZNW5ppngnLpfHYdP6EZgAETSHZTaB6BDCfyFwjg9WIMdyAF0/pphKKAKLBDJZVcbnNEDg07hxhMntgCzvT2cIP49cgZZcX+P4BGhAAqWCgABlCDPbgZ3wOccxVYI3wkfpsB4XBiDWNsED2ZM9ihTQeB6YgeH6DoOmIHYTmIfpdlgwcek0MQkM
-QAAMoQKHcFO+AzohKrBCREj9NgPC4MQ+xtggWyJlsCT7JoPA9MQ1YdB0xDrIcxD9J8PHrB0PSaGIgmGtgQiUgYw7trg3BFOMSHtlg5S5AkAB6wAJDBK4QPCMEUu44H5OMYA+oeCTwYOopWRIuD9IalLtvp5SIKKjHKLp1JwKRaoFG5BRmSeE7oNU+wAPK5ZFACO+jENeyj7B0NJ3lRcCYKahpgdMszKPMiFLGgwKwis/QdHW6zrN1+y7L8QaoM4+
+NbAhEpAxR3bXBuCKcYIHwdssHKXIEgAPWABIAF81wgP0hIpdxxFQfJxjAX05ISP1j3YoDiG4iRcH6Q1KXbejykQUUgOUWjqTgd81QKCSCjYyAygkao1gAeScvSAEd9GIAAxZQ1g6GkAE1vzgTBTUNSZpNKWZlHmHMljQNNHkxfodjWBtEjwoi/hDVBnEabRXk+dMdlOF49n6N4/gBYggTQDoVm0NZBzwl4Pn7FZs3YxFkVRBKMSLHE8TWAkiQ4El
-zaIcUJvOi6kwisTxwuZ/zEICaAdGs3xQl0hzQl0A2EohiLIqiaDotomLYgkuInASRIcCS4Hkohxq2uKLLsly3LrvygphmKTIfVK5AcLK8qZFAhocRqWrgVIeoiK15mvWaFpWi9Np0vajpGkyZShsI7qeuj5l+vygbLCGiH/RGUboeRL0Jll1aNN16w1jsRY5pwVYJE2iHZiWHDlhwlb5gN0I9fczatpZWUJN2hy9rdA6IUOo7BOOzF4bOwoLkueQ
+pPJHNjTtcUWXZLluU3flBQjMUmTmqVyA4WV5UyKBDUgjUtUi3VsH1WL2Oms0LStG0TXtY7yhdMpw2ED0vVunMA35YMrTDHNVqjGNL0/KakynXhSJWFKKr2X4SzzctuB4HhOpKUt80ratpK6FYeD2LpoWbVsuIhhJuxOXs+yI8nhzHCc71QUDwPYhcW2XI9N23Yg93SPbVz9QpBbsiGIB3HYAHE+UqNg9i8wZlEqHoeB3b9NAltyACFNaVEoIvKeV
-IeZG4isQO7pBDB7eRlJSnugF43veT6vu+n4/v+gHAZcoHwHDkFsNB3lpdbx6lFlEBbusf58pUbBbNegzKJUPQ8FuVGaH+hUAEJZyBEy++U/uB+MwfjDbmXlNelTKH+gkdBwRj4MOpC1AA+mw2AJN+zhQPUefQAXIWkFBLlB975dh+UpAUHAL4vn+dGVBQdFnjwNIAFrrENgyFZg8Xe/nUxDyPsEBZhjGoWg9O/FhdJZSxbHmYRuDEVl19HaENGYP
+qSoQXrLk2ySns50AEV6kIAAlNZJDCq49fgSLDbYY25NN8ZzZF8o3M0ABVVVsCck5dYmN2DdII2xO9l2/dKUWACsre/SW9igK3I+gaPNNjz34/GITlL+U9zzQEHy5vOkIeZx8IJfBBoNjD8v2YX9MAAoDK6Zh8n1VFvRZ6DpsGhE4Ko6BAEmwaiEHuXBMxnlY+X5HZNEozQ1lHlYEB6HpaPoqBGOY1jBY4rj4vQXiBOEgANO+hOLsAfYEKS8kFhTx
-RF/a6x+HsVVAgLi6BALYFOLtLYHQEAJGwNpBAzxcDphgSsPk/J1iaE0pofYgEVgIB6D0XS+koCGWMqZQ8FkOztXQDZeyjkzx0JgqPYopcBAeTyH5b2/lxhG1tkFahEBcAJHClEKAUUJAxUcA9BKfpkr4FSgsDKk8JD7EKj0b8QjsCaEqHAZQ6p+j7EvJoOi+h17OAABINUHugGYcxDTUM6hLXqGYJZDRWCNG4rw4iNh6qCbYcldiHWWmjNAjQOgg
+iU8YVIt0UGl0C4ASDpKIUB9ISEMo4MapkAwWXwFZBYtlk7lDWG5HoVsQHYE0JUOAyh1T9DWEHTQ/59AAC1nAAAlwr53QDMOYhpr4gniCVPCvYvjQyOCsbKtxKbxHKtscmBMOjHDRpAaqtVUCNA6GCWERETgJEOGsDYMiERIhRPtPq2g8SJFxFiYaTxRrjTJHdGa61JToA5AtbSS0BRs1FLNSx0Ato7QVPtQeaoHROikHqEQF0ShXQQOaGqlofRmL
-ihIpR4PB9ixJUoWI6SIUSQzOhiBs11Lr4kzIhYkjpnrI0xgyQGkp0Aci+mFH6Ao5ym3eiU6AIMwYKkhgRVUMMHRw11NgfUSMSgowQOaValpvTWhNHaWG5RnT42poTSQtMSYlDJgGWAlN8klBpsTK+ZF4w4VQFiY4xwnj83MoLXMVZthcyFiLMWqATjdgqmmGWbYtbekVsrfsRzbYjjHDsh+ADzLVP1suXhkATbbl3JbDhIdvIVwkMOKiuVSyYFZu
+pN4yKz0UyvT8JIIGn12LfSDLAP6k12KAw+lXduYNGZYleK8O48N2IYyRmgVGOw/hlM4FWDgNYfT42hisHERMcwtjbJOLsjQewnHRIcPGdNxzBC6feMCjdWbCiXCuPI/9IBbhFDzfc/NP5m2FqgiQo5vxOQrJgRoKx1SNH/IMY4HQTj1H6G5bAVtsC531gXOOJsy4nl7ggmut564DybrgV8ENq45l1J3P8gFgJjJZiUSCw9yiJDWHPRofZ+h1hOH0
-qRodFBi7A6Iceo/RCrYG/NgfujVj4B2YSw8eoc7ZhwAEp0R4FSigmB6RQFQZIegpYs50UvJgdebBCXWMEcPElp8eE31/psjC5lb4/J1uxIiwC35bI/tRWiDEmK4X/i0zi4dEj7DgY0Ka9xFJ9GwKmCq2BtiPE0ApPYCACS4HWMQBAjRMFEIMvoIyURyHeUocFGhdkHIwR4PZHgTDXLuQIJ5Thfkz7mUYo6gRuAeAiMilGCAki4oyKSuK+RZL0pq3
+bAEI/LYEaJmBImhCIdQQASXAOx1KNE3kfBi+gmJRHPnJS+HZr4QFvoJISPABI8GfuJSSBBpKyR/i7X+xQ5mlEAfS3APAwF6RjBAaBxk4HmRyZZYoPsUGWwgLUGAVsACyVDTS1H0JoDyuAYBeQANJuXIZrTQ9BLR/HufQ6KATIDX0SHEHgeNobHE5E1SEJxeFoDygVA4REISlVeBVKqN0Ep7G0ATJq8KOi9nxi8H1AKNG9VQOiHRA19H4i+EOHMxI
-DvoKlBCqVsG/N+cxzBBiVGYNgfQ2As76GHmeKxR8bHNR6ZAahzgVg9o2AtbEUDUyHAqqcDxaBbj3EmotV47xPjiSWiUFaa1UB3H6NobqSsNpb0SCccSFEkmnVQOdS6OJMl3RyQ9PJIy3rFM+uUw0fIqn/VqeUaUoM5RNKhq07GHSEYGmvajQZ8yBCFJ/RMvGSYCZ+FmRsldvp/QU2DKsyA6zIxyO2VlPYxwFo9oScc4spyzrnIFgRssFZwIJB4B0
+nQZMCbaOkTj5o2MNHyexq0y2bRlHKdxB1VRHUdCdPxBoInBIjagb+AgS0PVbU9JkL0AZvQSdkntfwUm/VDEWyAWToxvLyWTDqmKSqKLzaUxGBYKkfGqdurG9TpIvH2K6ro+ziadMZuTHplMzjOtEUMhmnzxnzimRzWZXNFm8wPNkVZvt1kqvFlLXAMs5YKyVirNWGttZ3LoRAD2XsS6J0A6LLZOy9kHKOSclYZyLlXJuXBqYDyi4mxQ3Jf2Eh9D4
-XYbxFIfMgC2J5OyFYHCVjsFW9HShfM1tKjViEAWLiBeuTcZtwX7khWXCl4czy1BgPSFe+Bcq1HVHRCg9JCp3npNeOAdFND1QPgPVtAqT5BxjSUZCl9oyKslR3O+f9H4lGfq/dDSqv4/zVagX5mr5XlE0K8K1+CVhtgMasHo3YMG4FwEcXAjQnVhfWHxHgCAKoJAwa6kh7qyFoBtj6gRtDgAhqDcAAAOsV4IhVUC7NDSXcNjovLjF8t5bhxRgWlH4
+CgMQe+MASVEfdoXJDirnnsQrkujjtdGYNyfM3Vu/yuo/mBa8sFEyIVD1bhAPpM5g1QgIj0dCfR1jYpEScbAG81gICeMmFYxAcWaBOA6iAdFyWUpYmgc2tKgEMv4sAFY7LkNTQ/mgHlxRe3yXYwA9SIq1jiogZK6VsC/jYDMggpBNkcxAcltLWW8tFbK1VurLWOsbXwcQ0w1M+U9iNESG8BIWIPjfB4TmHKSjo2pXjS8GRBxKbxvDaE4Esi6yIr8n
-YXFYyaxGpvTdI342BEpyIUXm2N4dZPfgALLmNNLUfQmhiq4BgNeF8hV15Z00PQS0vwiVtrsb8ahiRvErB4N1XYnJvgvAuIhUa41JrTQOKl3qJ2nh8EQkuoZR6tjaCgd8fVzjGyvCu+ZY6yS0RpKujdLJ6l7qPTJABopEo71fQfb9apooX3AxlB+iGX61RgZ1H+jtRpCkDOXY13poHxkSEmZB6Z0G5nDMQosxDK6qbmVQ3TazvSmbLD2NsAajw8Ml
+WEEGwoRVJTT1LRPawS7CxEGjoGwfgVQQM4BIJSSgFomp22tViEgzxW5W5aDi1oSnKNKbaDa9pNq8Y9CQMSwH3RCVI4sl1+1RKHa6OJ71F1oDnRAadaTZ1vsXB+tzgrnw/KhfK0GqlhUGwjnEyME6hOBPBn9fC/Q+yNFIvussO6e1+SR5jOpDTpF9lOHDNpql6YjN4189iCzdzLMPJ+9pJNRk9ophw11iQescbE23K83GPkgRJyUNoQE/1ucFu54o
-BOTzb01GLm5iuRR9SHR9jdQ+EEkojG5ZdlY286snH1bfPvjK/5etBOG2E6bc2e5sgSeKBPSlkdo64FjvHROydU7p0zjnPlRmi6krAKwo80LlHoB03JxoRh5KkFbt+M8UB1SHFLKQSQbA/y5wMzt4zQqx6Hkt+HQq14OB3gQNgYgVL+jDv0kIO8xAOjYBgH+EySf+Ue9guS33Vv6jDD2HADgoRLx3igDSIwjRrz7HMbgLOzg3d+0FcXXNULvWUvqD
+c7heCzmWAIXYACbaFawpjrKi2vM8UoNkqbx0yjc5PjCbU29hi+832+UUBNZqRlVZi+aRf3Scci5dynkfJ+UCsFUKusID6DYOpcoLJNBqBdyqTAyYZZ8//T/HRmY+kXEUaRNK9wXZgE2H5Nd0MiJNVhoGvXzn2KZGIMboysCzc0ot3taTarNXat1fq2YRrTXmstdai+buPcSC9z7l2EA/cB7YEHgXFHnCbCUSlXsOJ++JtwqVij8fthvCT3074cM0
-AUwkhFy1FwPUIw6xW6aC3IBfp5jcpj8LhPz33uM/lDhQipFKwUVooxVinFeKCW1/d4f4VLXRUeffjZ7COu+NPzlSAj/JQlEbmqqlmXmgCWq5Qw6U4qYC0FUxAPQYkfQKw6ImgUCmK2AGC+wCAmwiYQWVqmghwROekbqHqJk2WFC+AlkeW/qKw1WU+vS7CaA9WxQ5OLBZmJ47WIU+wXW4i/umQUi+8iEA2si2aw2Fu+ahc5i/U5ahAMAhwHAlGpAP
+9yTXByqaURSBQFqCxxECEuMlCz+vo2m/RZUicCYv4QQtwUEZlSIQEnlSEH98QdUCBlC/uBrkq7hv6jMHVIgIMBBt+QCz0/2/wQF/3wH/18SBW7hBT7gbki2KGVTQ22V2X2UOWOVOXOUuWuVuXS2I2ARYyyzqlBAqj6QhHjUKj8jWF9VykKyjWeFy2+DyyOFRkxEaykShE2BOGeFwnhQhBSmeE3RKG6k0StBRm0GDVIgRzOFU3wmMULQWwsXZGWyU
-QzgpoVKRg/QDcLacMtiLU9iXYhwF0qYVGLwBiCusIY6qAU0II3ww6c6U0/U3wvw723AYSES/QUSlGsS+w8S+6J0KSR64Op6eI565kuST08OGOpS5SFSiEj6f0ImkR9SWO4MiomqbSOMnS3SIioypOH2rBxOoy+OToEGroMyDOcGTOCGyySGUG4YsGABAgPO3opwuI10fMEuouR6BwHRws5GywUCLwC0BinGyuzyK6ry7G7yg43GCAYxYBeu84BuT
+JMyrRWm5kWxcXrV2kVE8RbR8RO07XOzCV4E7Ru2O2HViVHXiUSSeynUDBnR7X+kmU+xmW+34z+0Ezfx81s1wFGDB2IBsLZ0Byh0Zjy1eEhCeBm0gBqS4F3SV2iIPUx2PRhX2CxTHwtkJwQFpz4xzDJyWT5kpzcOpyvTJnp3vSUUuBeVBSCPeTri51fRzF50KJkkF2FhFzjzFxdkl3aMhBl0UWOFeDSnJn5QFS6OFnYIKi4NImKj4LuFj16JeGm1x
-BrWoKomFs4mTB6eUm5Q+wZ4CQ9Q6wuUNIUAf49IkgWc1GZ4hUlQCA34VE+g++xKk+Xu7BSEYqVmEq5mtmvGDmyof+CqnxCIn8Kq7x8xjmQCICEAx2Ww6wcCsC3hmg/QBBkkgkKkGYqBCAmCWw/IhwuAPQhwGB8BWk6WpCnq5B3qlBVC1kNBgawadBXutWkaTWXCrxcavqgiWwPBPW/BGa/Wg2oh9BSilK+gZapojaWw2cl4VK+gOAUAl4HApA+gP
+yGOeE6NaIowmM4P7x4O+CeDmPGNEPEOaDhxKnRHwnT1GOX0NxzxgRMnz0zwpygGk3QUwWwVwXwUIWIVIQoWoRdwb0imbw8Qvnb2IED0VG7zkgn04NjVwnjXxmeBUVjySEKw2BaVdS9VG1yx4AuNflP1FBuNN1QGs0LyyGL3VS1R1T1QNSrzNQtStT+PdwBNIG9yBJpRBLBP626Mam2EnieAiKhD8hkOFl7xl3WExCUXWFzSOHhRxLfiNBXzXw3xC
-Ql4WhTUe2bUniBw2gXQ6Yrwdw2IG0dYFhE6Dw06M0HwXwC6kAzh3oqw2pLiHQrM1YCWjpr2wOB6/hx66SkOIRJQYRcOGMoyiRZSyOlS8RNSt6mO76KRzS4B6Rv6XSiM2RtouRwGBRtoRRuMLoUGRMaGjOpMVRo0q6tRxA5RDRRoTRK6WwjQRePaU0QukAIueYNycuPRUuVYJ29wqwjpjyKuLyaukxGu0xGssxPxfyJQAmBsyxRuYK6xZumx0+o2U
+D+S8IANFD309gP221IGP1JFP3wHP0v1IGv0Hnv0f2fxWQBxtA/y/x/ysDAKtJzEANtJAPtPAMBS7h7mqNgMVWQWi1FmuUaB3DtizksPYltSikYT+GvjyiIKIUxT4IRyRQEOuGWE+CSBOD6SIQ4ShF7HEX+G7RkTkRSkzKURUVURTKkFTX6wzV0UGgMU+EHFkPm2X3ug0OsQWjW2rXUIULrV220NZMk0O0HR1HbRMyCSMKSWLXujMOdAsLdDHUCN7
-8M8c8C8S8K8a8m828u8ghvuye9eaei5ts4cJANKdKDKTKLKbKHKXKPKjxEEz+h5kmTe0msm8mZ4imymqm6mmm2mum+moc+5j5JcrxFmLmn+dm6qvxEATmPm2aFEwJ38IB9m45yoEJ4c2ASk+CPQCCKW0ksJKwuAtq0I/ICQMWCQfmHQmgyWFeRFCWnW/WxCpJZBqAOWlJ7JuQRW9C9kpW5WlWIapKrCRojBqAzBPkLJIqasnBEE6wXJ0UPJfWQh/
+Re3sLe0cOewXVf3ZxCIhg3VdXR3KR7TrAPNqWxmRk5F2G2HxkrI6VJm6V6X6IbCiNKEyOyO50gDZmmU5lyO5h/UtJaLWQow2XQH/FIkwA4FwHoCciYxjkeW9n1w4lZ0h0gGZE53E3cN+XdJEygNZxyPYkhWkx6D8k3n6E0BxHhR6FeAOC6DEAQDTB3hnmq3PXOFnh2AGDJRPgpTPnuJKE4jpR4ns2EhWFZSc19Jcy5WD3kj5QQrUh8ONQC0gXQGC
-JHxOaDJI2x55QDst4j4z4b4H4X4v4AEQEqpTxehRG66PaMJmIBI6IkIxpOw8Qw63hzQKkPapwDyb2ISNyawMJzlTldwiQx2vhoOZ0E0U0WIllKwjw106YMOV6gZN6iOEgbICQMCaVKOT6CRkZ6Ab6jSOOaRmZNOyZgGy6bpFOhRVOxR2ZdOuZUYyGEAzO1RrO9Vk5QmsqL8cFKlgU8ahcjQpRpsZZXOjRzGYSYknI0VPRVYU0bZfR60Owbwrp7ia
+xMlC3CwBzgKFlUlFn0B6BTkkE+H/FqFoVwMjJigINyjxijU+HwlwiZ3KkRLK2BDiEzMxFhESBaWhBxFYOMKLJkRLMUWUQrPUT6zRH6mxGzUMSbPzTGjkNbPMS2wkA7MWlyPWxrV7PQB2zcX210NnN8TOn8VOztEnPCTisiSOznLuysIexjGXNe3KycJKE3PALCGvQ6kqK3WR1iNR0oIRk6qSKtHqnVy+HQkvTvJ9DKJ4JBGfJHGGSyOJwaOcPZlc
-sMxcxuuvIImJuEK05iEoxI1A5fYiQ9VYF8FmE3x3+0FbQjE85olh4YlYAyGxQ/Qh4wKYAd1D1YAMI2gsSmw/UnwUIOw+qWwz13sd1uw32W8aJsSAVqwZV4wn131nwP1/11ZxwwNt1x4YNvlkN6I0IMNB8sSd2EVEV0VfMhwz1rxEUpAUAWccaGa5J5kaQpukJVQNQDQzQQebQnQ3QfQQwow3sEA+gbAjq5QLImgagIEMFhAmAiYscV15uj1GwfMq
+JkkFTyL/OaKFyThVR2HvlwEIG/FniMtjzzhMsyzI0Fi2tFkIFNCEASEqCclHEHPDIy3wKeT/nLiQtVI4h4xfXBWVAExVO3MgA9NE29PfLbykwDJ2FwBngqgQn3hRnQnUlwzeGwDD2IFEUomWxwgIixM0A4tPipR4pQqvgEpEpZWADZRfjlOYFcwAt5S/hkuB00n/AUqCyzxlVUvgXUrEvgP9PKHVFHHqF8JWFkGMsigYTMujOWEstYRso+A6yITS
-WjQnZLpJ2+IB8SQqw3hC06t/Usu1ZHQ5NNWiE/BNNsU0i9NJQjNEMkJOU+URUJUZUFUVUNUdUEtgtwtEgjEDgHaaF0txAstioC53ka6FU4V9wFpqWm6rBxQzga62tmIlGyB+tQ0Bw6wxt9BIG8oUAtQE+iI/E4F1tooedUEBd4cVITgsOvwQQG4FAOyVIQgqFAtbAjAE2JAQd2Q5o6gm1wdnma1/tiY6oCAygpunOgJxOOd9QzA6oiAAYBARdkA/
+ioOcEUS2HxmGv2TV2eGTXYkkR8tkT8oUTLIVzUV62EO0TrIisbMrLm1MVKoZHSogCSs5C7LUMWQ0Myr2x0IgmbVytOnOkKuuiaxKquxnPKqNHnPu3HUe0nS+lXPqo3O5kCOQqNGhzQAbB4JPK6pvWzv6p9CalhELrR2KLGrp1vTzOhHjUrJmufXqL+ogE/K+xWq/XJwKP53pr5qApVQ6CcgOE0GGG/AChgpI1Y1xIutQ3KBTgoASBTnpDgDVRHrw
-B09s9eeVgwEJ1wOiF7moBeEYhPuGlEg1uMcccCcScKcacGc2cieiEQFI8+2/RawJ25wF2T2ReDZEARZX22ImwOGRwFU9w2IThXlmNnIlG7hutQ0VGnGIOh69V/paA9VfSwZqVqDROcRaOAMSVOVDS2OqRcZhVJR8OqZ+Y8OhD1V7OZRsG9VjVRZbOE5+uU5olrWsF/+Q1bWPVIUhw/VdReZXVjMzGPU00jpKkk13oewM1os4EcuW8RwnImuK1Y5M
+LgpLgQs40dI5zqPQu+Uwo3sEOwq9JgPBoIpHkaFwCMwR2aGIFnlxB6H2TwiU00CohQgxShGID2GVj2E0H3n6EPlC2PkJssyJIvj4ts0ZTZQpsc2ps5SdCF08xGMFVkpFQ1TZoMg5pCxzDC25qCI0oQPKCoQ1VHB6ArE1FZBwIlvtXMucHQlkRnxUQbEK12MuxKByim3ylhFcqeHxhRj8n2G8u4Hqkamai6EnguDrCxGCotvTTCr0SGhtubPtrDvi
-5axY9huO1ssYxLGPYg5dwb+lm5ZUq51zdl1GxN13kb1B8T13kL1oNPlYDzpkDBp9Gj1mdYArWlN1NtNltrFFCNtWQdtpAeUBUYixUpU5UlU1UtUAF3qntcMot4t/NKoAdnd8tPkF06Yw6VGjwKkcuzwljX1jpMJbMw67M7GsIrjQlZtXj8UVtS9YmvcY2MAk202s282swS2K2a2G2W2FCsTItpAYtsZ3qSTMtbActId4w8d2g4DCWJN1YAO1YS10
+o2isRsVsRSu7I9qdq9oHIOz0LbXyo7QduKrjqUbKpHIqpHUyUXInVqoTvSX8JTq+pat3J4fiNzE6pEPcZiPzukWhHrGhHzNvNpxvR7C6DhyzKfSJ1+pv0bvfWWvXFbvyJf0ksuqnpnrnoXpuGOojLOoTgnu7qupuruoeqetdlOtevycAppRVX0ArA6HwDgCMBpGyfWVycqYzwA0KYDitgCly1HBpDDJpXaZXrY3eqqL7lTtQq3v7gWohQBqwsgMP
-KYdhTEsik3wHMP9FT1oOdpdAc5di9GAJd+dIQFdpAVdpINd+AddDdpATdLSAdw9o9W1/DBSU9M9c969hzy9Hza9C9m9gB29yFUFCA+9Qp4cAe9IQeIeYeEeUeMeceCeJlD599Gp4sawx26kmTdYoIu0Vpn9/R32BIf9w6UI4knGNpVZjQX13hG0yB797liuCIHpVYUC1hYksIkdKtckcV4RCVdIKDaVqVGV4Z6O2VSR0Zn6BVlVWZUyBSORXlsN6
+vrtiZPvKFOSMx4HxQXiojSjIvxWGoqgvISFwG4QQDyxxFSnWAJq4qJuAZpVAfpVyApofhEugfEtga/mkvGaB18wNgrFQagXQZUswbUpwd5s0otlFlxHwB4HwGGCcjSxzAjMlpMxjOmyjSeD7DOUxCqwa0cr9VkUOCeFhHjSYM+EqhzH1r+lBCzF2CWIT3qmYeBurMLFBDuG+BanuCTS6AUdsIdvbLUbdo209tcW9qeohuHJ8QDoKsMO7WXKCVyoM
-ZWMMrRVOZMGfDNDhZKyusixTDq4BE/xhzbJCaHQPDpZ9R7DYQzGHwsBewH9TZ3A3USzwupGvRUjXYIW6IrMLrJ4ijRjyjvd11Br6jTG8sExUCKtqskq7xBjZ1KFvwJjwb6NyzljaN5jx4u0Fl0IMIu0izKYab1jINmba6PaObdYksyB9YB8zgjY4SBwHL7MlG3LRtRbKbTW1ZNLPUblDLnwTLcddb7LlGTbHwVGrbPCFNUQVN5tAhXqDN9TkJ42U
+KqpjpqrsJ+jXNxCTsWScaBrTvyUpmexiJpbzrPN3U4IKT7GXOCevXp1xheAuCibmpiY+yWu/NJ1/MeIFmqa0oDmDlDnDiXoQw6Yha7pqdFl7v7sHuHpyZetGfHp9ahfKB2r2oOuwCOrabjdIyqa6fDfKAlh4AM1HH6B2SDbydXp+d4s+r1emfmobt+13pqIBQPugJWc8X+3QDhx4EwmGrKlQh2DosaDvqxE0EbFnlXiOGwDrAop6EHBuYs2pQ41J
-2M2c2C2HTq262m2HtQtcTAzCTFCIzgdYzfdd1WtzpdYbR8zYke6x4Kz/OxTGz7GzWLWYaptooM7dNPj3qfjDT5QhUCQpY2AVEgwxAbApoZ49AdEw4CsxAWiD4zAwi/NfTEg8TQzT8Utoz4zZj3kUzNYhwmTmKdwBwkILw+TFU977hJTmz+w2zGMuzJzhdALS9xzZdpzr65z/pVzNzWUjdzdgtbdHdx7XdagkgQbCbgCjzI9qjTHk9VNK9nz/zrzx
+okBeaEkfmAAAB0N3PQ3JeBRKE3Ak6a4HvnLjfmfDoLrTAs0Hc8QX2IsG5VwWD28GJB95BgeB1VdVxbphKHpaM6VEZcXgyXptUooRlzWHps4hTj0IsR8RSDmWCyQ700o0Y0sWyDE1MzJG01ays05Hc0+XUBnsglBWK07F3bHFtGxXdGcqI6ZWjGzGu1EOFXrsI7lXrHrDbH1XUlE7HGIdnH07pH+js60RnyfGzWjzUZ1hTlRqQmyjOC3gjgnW3y5m
-dxA8nfzG9SnQJyqSFoJe9gpEhEgWeOeeeBeRe+wJeZeFeVeNet9deh+D96L66BY2Lbwrw7hFhfMRLv92tpL9wQ0wDQG3o7MGw7MsSVl3h6kHl7pfhywzwGwuwC04kbwHwkdvLAZ8riVQMpSaDwrYZmDiRuVeDaHaFeOqrRD/L/SirZDpXFDayVDmr8G5MTVxZ/GjDbVv+HVbDE9JrhctQ5rg1E91rWUTloXu0vrDAbrU1+LTZ7Z3ow6qwfM+IH9W
+Pz4n3XeRPX27vXc3fWJBNZhh6IYBmB6Rvwy2Q3X417q3giUKfq22d6O3U6QacKwblPJWO2IBdg0w948Bt59myKd46w+gMb4ViBThGgEATh+Rf7Ti1gWJ/7zNuL7ml3+KJBnmBIoGl9Loj2vnGbK27JmbgFKhAWlLgXZUIsIXn30Ag5SAThKhCANUTgkXnqTLUWqHPhQQDhjgQQEdq70SVbDgTgCpRsvhyjOFKW9bu1BHC6WpRH2pnyhCsOZH6yc0
-uPGAbsRG19TbXSuGje12jkbQ5587+7Dhj4n5kSbVs4wFjt76bF3Jb2bMIFb+b1bV3bbGb0KWbZb93ebmIBbx4twsXaYPa10RwKtNZlG13xQp7QX/UBiQ0IX7hzwzjYAf36wcXgPiXIPkdrj7jU7njFtNTX787c5i7TTy7rTa7y2G73T27Xt6AqHEth7KTEzLB0z57cz0I17+wZHqzD7pTOwz7bjr7DN771Tc71tC74cWwW4sWd4kg2A9IpYVKQgR
+or2I7b+X6PiPOzSORWKOtDG1qOLG8rA65XGPTCWOo6VWlzOOHCtWePY7U6XHuAiJ7geqOrMYRD0iEi+qxOlFDgZEcRnybXSiK7SzjgJHotXy63Ymm6EnVqNOUmISw2dOQKwKIKoLTP43S5cvELqipmbPt78KFm97gaW3cLj7Ibyg8ZcBqYv6iVpsMb+gQu+xjNiBsJNAZFBwDMMbcB40egVhsBQdMGAHbmgHrNHmeJhKmV130vOn34JLEepKcvT3
-gcKwwhA9IZ4rc1N1Pu7gz9PGHR7WHd1uHew10A06I003w2Ifnt7BTFH6zvPWz1jgvFO9HrHjHGnRzdQDHZzFzROtdActz9ziE/HCA7dBv+43don9TJ34Jknzzpj5ZHjqn896n5ZPzq9KfhzQBIJHmvyYL+n6AW4LebeHezAXePefeA+Q+I+yLKeVA9nvAA0jnWL+IOLrn+LX9nnrM3nAD5L/nZOUPIXsPBi8PkXgBLL4jPlXwzwzwepl0qXiDER4
+vCRUc5L3FKpUSuuaH2QZcH+aJA7ZsBRw3JvwKB2ev2JAWvf3UBThQRGdJ5hpoTtgSoVb8pCog110yoKp4PqWfRCstgzhBx9lcJzh7hKz5uazFvra8PoqTF1vpzlHnEXb1HSdUqeyEqMrKP9vfapWDHjvjH5WzvDvWPGqbHY67GNXuOrDwd7u+PGYSpyZXv0YD1Cx4PROj1kZ3g6xR9pPbWQfOCekY8IfZqlOG6Ye1P5l4f/zNrJ6qMaM6MGN8bY2
-rKVQr6DqOz64rBXMZuO8Z4GNXIGCrAXvAVX7Se/crtX9O1DDXSydDLVrXaj7XzmMn3XIUN9lDA1lrA3lZYS2wph2S+G3MZsjEk54kZABM3FdOzDkhYhxI+RZbqOVW7Gx1uc5Tbgxm27ht9qrpaNuZljZHd42ILRNkJ3O4Q9b2hbSSq928jvd5cubStj92Wbg9Xqt3D7tQMe6+s46qwKfuJBn6XYbo9AyHmumh6hc4eEXRHrcF7QwlOBEXOfliCx4
+KnMfyM83jsbZ7ZHZnZM2V/s3ZfIXkeIA9ODOjOTPl/mNMeLPcevra2XW7PPC9XHPlmCehy3O55UIOpsBKIl4qLyo2wVEzwYgMQEKQHBCIuAU4AYnhSNB52CXMXsuxviS9Xmm7DdsEF3ZU0Muh7eXp3UV6KQmafzTSHbCK6a8b2pXHmk+317oA7YjQIwAkACimgg4OQcht+yjJxRlgJUF1GHguAwdneTfVMn6lwgDdGyKUURLVm2DK0qWE3BqFNxE
-7Np2IvWphgHF7lAl2LTVdu0wp5dMt2SHHdv0116JN9ejPbDg1hZ7uEL210K9kDy5528qOT7WjkL2IAftvGOWH9pCVwBnhJAVKGAMoGcDlQjA3KDgBwCzhUQ7wFxBwdr10H7thmBgoTqk1w4nB6wPUAYnsC2A1hR0NvcjkU0o6Ps+edgl3lTT2YUADmMnfggUKKE4Nfehof3vXR453M+OrdUPoJyurMBI+YnfARJyHpScXmifHHsny+bFDRQvQxTu
+ZtRxGc3VlpbRw4NkY+q3GKi2Q25O1k+wrNKhn00L9ls++FP2jRzHJB0GObBIvvoQu5sdqqU5f0PY3ezV8AivHPVo9wzoI4JBb3Q8tNl1rN9vuHfOqJJ1ES5Ze+wPB8l8Ed6KcoerrL8lTg9bfovWqTWfugDqYNMmmLTDHvvzGbK8UKlnWotEIf6A0rOEBT0q21f634oIosdnoGkOCaAiUlFRCPsG2CopDgPADFPVDbAzhOQKwGGqNhRiwC7m8A5L
-WWz7adc+unNSuISXISA58C+JfCvjXwb4t80CU0Lvlr4e4G+XUZvpilb4uc8W7nb+sSx75ktrewSI/qln4FD8wuo/YKoemOxxB6w6kbwjRleAI8F+qAJBoUkFZoMRWeXTfrg237StT+1OMrulxKofYlWfSchufxQx1c6q1/FnM1wWItglizDQ1h1wBIMxY00lQRPSD66f9MR3OZjD2n1oQ4xGvAbwpI2uQLRRqUCHqMOW1wx8QUSA6TqiNDZ9lxiG
+ogJErS992NNLLopBPZgBEG+XBDOqGIHKUyBj7JVJQMbopw2A9AUcLC3oAW87UrA9iDGRaT5Q7geMO4Jik86owqCCmUPMolOEll4UPveVv7zOS5pg+A+MPph0j6ZpwquHFbrNnUGKME+paLQUK2266CVG+grKj7SMG59ygtHccv2hMZMdw6xfawaX3Y7l9rumrBqvOmTouDihbg1ACI17BCdxqlZdvljg5Z1gyWVw0ujJwrpdBuBj6YfnXXKFxMXC
-AqNvi2Ooe9jubQ07oQPlqXc6BL3G7m91LZUCHu33J7iKLIFiiKBEo8tl9yrasCkedwyaKmFlw1goqLwtMLwOPDnDguMPK4RFxrbqiHhWo54fYSBpO85R2dOQXj1F51MiejTZpiuzaaLYNBm7HpjEx0Eoc92RXQeuH38KnsTBszS9uz0sHpDueWQh3vzxXDO9mODg+QQTzF4ujygVKTAA+GwB0RSAyBS8IQEvDDBJARgeUC+HMT0hW84Q/0XoIPbR
+E/CAGtUSEK80mEgAtkWxLYAsL+sFLIeZ2x7r0m2m9AoYTw8JFCO4pQsni5zWYSA+kyKOit22+BFQSI/PCbAcELZw0CIGNUsncHfqMY4unFBdsTRsxPNJebKddluzQGoA927zTLtgOPZK8Zhw4OYbgHP5XEr2QLUgdrzK4UCj++AY1LRjgApwdgXkPYaZTRbLA0ojUcqEokETTZG+qUFWiiWjSdY+kTUKELlmmz8MEobvHpP0mhIRD8cghRQdIx+G
-DDev3NdKkISHUZngyQ9wpiCsGZD7e1HXIfaNzre9vmLHfZmx2BgVCuOAfGoUH3Mgh8w+ndZoSJ1aH90f8sfDofH2urdD3mGfPoR73T4KdU+7DEYTvRQr58ph6Af9oB2A6gdwOkHaDo0Fg6aB4OiHGzkZh0JE5qEi3L6uaUxTHZ9UzQY0rCAmgDR2YYDQXLsHyKUtEu0zJWDWTTDR1XgA0G4Z6UCIZJgi//P0pej5agiEcmXCACGW+ixF1+WVbBhK
+yMVB/wyAGtwI7yE9B2g8Een0hE6NDBQ5fRvCNMEncLBDtJVuiLxGYi1W8dSvg4ycG6tCR/HBsNDCNYt86oInRImJxRrpQRo9Ivvg+VERTwoh9/RarEKKLxC26CPHAfyPQBpwM4EsLOGr136X9xRWPHITj0ma398eszetkT2lH70lmZQr8aswp4SAzkB8RCLgFwDNAD4GKAYCEHJij5IJiiUVNgEIh6IzgIAkzGZitFwCQGCAhlBwCfhuisBnzKYV
-zyr4N0OJXIEegEyJJliGXlfIpCOq7QiIAboDVlGHyK0MdWdOXhuPQJHDV5YbwVSKsE5igChYTrRCaJMlyzVUAikWEE8EdJjddq6A3bpgIUYjlVqK4yAK1Qf7rVjcG3eWifgkR0RA8weMgLC0jzR5Y88eN/t6jvqp4QKdot4odwnp8jlx0FVhhiIQpadjx/I8EhAQkAEJCK/EBMIcE0B4J4CANEIEcAdSPAsCnIB1D1BCD9AhEIQEkpljJKpjIA7F
+6NmEEDgEQcRYVr1BbYNde5XNYdRloz0YLRyLLNlQGt6fAGoeMQcOHjzKtR3G5WOIPJ2qycFRECaUbCWKPJRoNgmYXCMQWaCiCvhVoFXMNnVxjYtcqEHXPh0I79p2yyhZbDoK7HOIex2VHPv2PMKVV6OJjeDoq3O5WSMRtg+PvYOnGODjxzdRJoUPAJIMDYgwBcjqwJGJhr0mYfZGcjjRkjUAI1XqhjjE4ZQ+S1FZcrXWia2czxyTf8qnSB73k705
-PLCsEYQAAKUrB6AqwroAAlIwkEqMl5asdZ9q1hf4QRhwclCRApV3IlBhCWaFSqeMProBJe0vWXvL0V7K8qIqvdXprxsmHxtC7aMykeioxfj3gP4j4IJIAmToTg6IY4GmC3h0t++eRI4NBOS5wTFICEpCWDkMIQ4z0+tN4R8KDLL9oiPwjfiRK35SsCGMrGif+nK4kMKi2EqEbTnf61U0ynEmotxItZ8NE+lZZWtRk2BQJOMjrfMFCEpHgQlYewFM
+wM4fmSlF480KgEv4E0Q7pC5uisefoGsTkiS4AejUYgvJJCm1ZxEHmVSWrlwwaTyoWk6bDiUFS6RV8BJPPIlx3yPEySpeSkhXkNQmpaSteBko3nQCAlfcd+DvF3hwHyQZcIfQfDiFsroRmWwubkonhLIp458nwWUniWzwm5BpxJEaaLEN7G9Te5vVvP8WmDbQSADqW/Pfg5KSUwAIpIhJTB2nllI8v03aXHn2lT5Dps+OGB1FOlXFV8GpCgFqWJ4Y
-NWV7KaMI2qk+kSt0ZEQBtJ21RAXpOQEGTtiBnbPLnnzyF5i8zAUvOXkrzV57ydfI/KBRwEuS8Bbk5uh5Kz5AsdOmkyWv5PQDdgtExACiqgnuDEBcSuNESLEiizrAYsiJXErCQSk8BCSaU0gk6NyzWRcpAaAqWVgQDFSeAZUgrPSSEo1oI0VUiSq/ikqcMIIW4RqXwUdF8kRCHUvTmeMETuDPB3g3wf4MCHBDQhY0wzBNPVLmQPxM04Hot3rALT/x
+B1SSpLfJtF1ImYz8nsI0iaV9pmkn8F4h7gqSAJ2k/8iM50sAVAKhjVhR/ZgJvwdhOx4xmWa3iomRLplqKE8E2lQVOCPA/pEnK8uiC+BSTJOBUTMviARLKJ3GEfQsDlh0ltjIRbIAySoTT5aM9BpkmEX2NHEOS+0Z2btLZOY5oitZEAd0KqyBEuSuOM49ybDwwr2cvqPkzSDvzY418ty8469PsGhAdRVBfg97glGXH+CscquTXIlMh5Hj1OCQzTuA
-12TxFFS+rYgTe83TEHiC2krJ10ReKjKah3TogQBUXEKgEROlBFbo6EyAAg3eFL8SJ+EzkLdOIm4SHp+VJ6VRPhiJlXp2E96QxMpz1y1WNVNiX9O1YAz3+PEw5oNyBApDkCzlKGRNzQCnY4ZvOR4LrVeFsjUZnI/brGn9ZYycZrIvGbORZFiVDJhfYvo0Hbyd5u8vefvIPmHyj5H84+EzCbSPIwp0AuxfYocWOKnFzilxa4rcXuJ0yDyDk82TG2cl
+UynjUQebCSeMuXykfjCpeFHnJ3g2rrFISFUqqeMHKnCwOo3JfCPnILn4Qzgmc4oJLlWBHARZgxVGLmRUTxFigucwUoXMLnFyF8YxHvMLMzJVzxZtc2PFNkagZRBidBWyp6kmxQgep1pfqRdLuJDSAC108oLdJN5m8YBj0xkp7mZIt5gSS00EinM5JtE85v3DwalFyz4RBZ4xUUqiQlIYkjgJwaGZnnxJTzF2w09ulblIDORXIECDyN5F8j+QgoIU
-8SkILMsEn8XREczvJwLVmd5khL55ro8BXEs0DkibBqKs/fDp8GrLIE0EmkFSD0GJG2plZWWTKWrIkC5ANZjkf1LxR1mVZaCFUl6CJTErVTWS2I3ANeBtlppmpmaIbE7K6kQBMx2Y3MfmMLHFjSxpAcsZWIYovj/ZuhBvp+JDlZNfxi0yOeOl/EggFp4kGsg9jrAUt6JnIFOZunTkLcb22cw9F6VOloSmWgiTCWl3KoZc6k5cmIsbCIkRl7p/wx6R
+B2exCelN515ZTCGh9J3lfSoS9URFJUiRRiM+BLUlEuKXRJSlj5t84tIbjhkIzfxapOoCjMPw6k7a+pQ0hDCvxAS8ZFpZooTJtIUy3SZM0UMTNdKkyVhfpI/oHBDj4Aw4gvJrk+I4lsC/UFclpBKX2CIoaGZwKgvlExRKJGGWtZ4DInzK+9UAmZRqFCCXHpgIQFwEEMpISgFRCskhXCATBEnPkWxuktsloMVlGSVZ3YrPmZNhEWTLGQzbWUVV1mWD
-RN34E5G5ROPpC3JP44wO5P0rufmQWQ9zmqJZfrv/MHloAEssSUELWTJHdR8i03aSU8EBy7oFYKMnbmxj25YC/W6kpRi1z1YoCIAqxINkQIPrOyZhm2OYavnXyb5t8KwvfBfIPxXyWEjMv+TfEAUD0YKRrGTkePAVAKeZnVKEqFGxIrAU4LnHYH0FSwVtYO6YaKbgEkjdQTU6YSSJsDwUZS2KVBdWYwiKzkLipVCxMcJRNlM96FjkuqYIj/AsLesL
+okY4o2WXxjDPY6qFskoOPziHzN5R3k30ffH8lOzmq/HRIH5QzCfcPG3s9NL7JikBDHCHLQcIB0PEpTQ5549KV9Ujnl1ekqUPyCEImbgE7+GSyACVK06ly2iGc1uWnPGD/tuC02IhEiihC7AaluXCXMLAaWkQmlAsxRP41jy0tdFXbKeIYpLmdKKMSi9EGlE5BqLQ+mirpToo6gjKDFVWXXAvgQp9SjcD8m0SSSeLQt+gsLeFoi1mlMkWSi0sBStJ
-UyAG1I4UTCylfuCAMQHoDR4YAWwdUFsAfDmAaQRaKiPgGUBsAEguUB/OIrVKSK0WNyBWNqViQbQwkiQlWh308R3BoJqCnYD2h7Tp0k5HUFHoLm8I1hR2f1D+rA38IA4NgOLVmJ8FTA7ATsF00ubhNsWVzHF1c5xbXNcWZkXpniknPRJ8Vww/FF/X6YEsgD/SQlgMsJRhm4AJZbk10MJGSNeBZzXWYA6SRaJ8Sdj55GS9XLo2Wq5KEBDDApTpKZH4
+qm3DABnqTgilHoIVT9ppENXPlkbKnE0FOCgadPKunPzRY1ud+UIE/n24f5Tuf+SUEAXzTgFFy5aeCVWk/Sw8w0M5LiB6S4ZIQTyhPGDOTwQz58f8TAQblhl4LwCu+IlWjMIVOkDSWMkhcaTIXJhzSBM5xkTJdKUy6FxABhSyuYVRYj+kbbttG0Zn4FrezgM9FsBkSM52EKUYNCrV6LlReSCtORZAKknwoComuMUnPgKUxKpZaAQcAInjT7IrWU1F
-yt5WxF8pXGri1xy8DcJuC3Hbidxu4vcT+cBRaWOSeRcbL/FjPZk9LOZYw7mRxEGUEJRZmgQNQkBTjIIPgmFBSMpC0Q0ZYSWwYgEgo+ACRy8z48yMQQywqyFB2U8oOQp6BQBtAqAUrNRX8DABIIi2GCLkGwArhisHAUrKVnzU1q61tamtYVNKz8Fi1w8UtXWvObJJSshsyqccrNluNuq7JXAJYh2bdZ5KdspSg7PpidTb5EAKuDXDriWrm4bcDuF3
+3rH1iqaD2x5izsZYpMnWL1ZFQuxZHUNkTlnFI4+yVY0ckmznJK5VyeuRiEeSfsP41OnbOAQxtZxgU5dANWjxw57ga4zxlqt8FfdElVI4RHDBRhCkCcI/WUZkrSmUKclNOXcdlMniwgYl8cmtp+KTnlKd5lSiZenLaLjLJcuGOqYinJgfBmglMfLO0pyGVrxgdasbORSbWPDW1wsbVdeQk76qjgJUGtcLCVWTwPgqquGOqvmJEsCYw6roAapWDjyY
-B7h9xtstnVFoHKBBZtAJdZGRqS04yd8f63fKtr33xaUsxIYVfqDLn1pF5ociSaLuIwmjbATgUIdEPOkTkXpYci/crl8PSq5c7pzK5Ii4r8luKqqzErxZV3K5fT+qAqkuZUUa639dWyI/Viw26Ue8zlK+PEcDKtagyNovUe4FFTMXQzPsY8xVR61CReFiREjLVQyN8kGrN5LzENuZCUmq5dut0TVb/P0a4C3VTGtNIKKZ7CjQ6+o6FFiG+zRFykUY
+Z2y0gbsrnkSBBawtYYKLXMgry5pL2aFa3nZLgKFea0kslAvWDxpMwuWPpBisnxsJsVqeKGRstl5Izzpm6meRgG3XoAYWcLBFo1wAWrygF5ys9VvM+mXqEVyiBHL9IRz7AekKUJ9ZfVeUQcBwbwT5fKQwWkrsFX6zBcqW1LozDQmMi/NSpxlGDyFDK1wUypoVMLU65MkmQ6U5VI9gKEAFNvtUOr8q44gq4VdsHjR4xxVqufMjlH2TxABNog6GGcCI
-2UT/PlHjBJNKQ6TVyFk1NZkCIIPsJ+qB4DQTg4mnDqcHCSph9azwdSI+s+Ca0NN76gBl+u+B4h9NkzQzeujvUIKzNGYCzceFhDTMFYvPFjOwLlwyC6ODo2dgoJcHhxnlry95Z8u+W/L/lgK4FdWNp4Bi9eyTGIUzzSY9RNgjpXqMkNb6pYuezwdnlNEewYrdgfYz3o4Px7OClBEge2sEyEChNnaETN2tExnF+ikttYqIalobHLMCmEdZti8FkldB
+TuMFFk6lVbJNnVpR8ymq1APsGjSxpDWWJTMkYiNUaDgRjtU1StkMnmryOqsq1RK0OiayXVji4OhdhcW3ZbN7iicabI9Xmy3Jvi1Tv4v+qBLEZAahDOQlCXODa+rg/jriA4SDEopXglHJPFNZJLCs+ir4ENnSXsieR4cxGbktCZ5q8ILBYpYjNKXsiKlklbOePnHUUYu1nIHtajEeH7EyttS6qTnNkTdrG1NWymHVrkjOANNIILFvorCJZhytckBT
-5VxgxOrrRTqPDDa5WjxqUNHG7jhxhQubfUnHGm1rmk47gLxweZrijVN8jhr6lVGycQxx4MAEppU2qaDF0KbWppo/UhZv1em6FC9STGpMkeTm4zferc0/UD4PkKzVptu12b7tto7+YOqC29xfmmfQTXuLU5YzelXMsILOseVn5EUyKVFOikhC35cU+KNYXZwhWy50mw6TURopiSy5jSwkkEHzFUgq0oGNZMbpBO8KTRQQLMB4e4VBBEqJ+K6RsI5y
+dOqU3ycOovc7rVpr61Uwnga69/JPJ/W/LLc2lXSvpR2CGVTla8iDZvMuVwrrl165pH5HxivB4U8CkGZipfUz5U8IIbDVnm+WPzZ5fy8oIBuOUgaIVYGqFdtrZJQaL18KzYN71uUIaHlyGuuedu2AvKiIbygcOsGw1bLCNqM/DSSv3xEayVgIohVSu4CkLTSdK/Gdkto3ULmNxK+hcytoWsbD+7G0Co0HAqQUL2bEvfrwsOG3ButbwT4BcAlVtKCW
-OAZh2MzrGURhL/VIbsJgGnLoRMypMq6kNc8iRBvg10Sj+EItub4pBH8qAlguoJShq4lIjAU+qrpSAuf6MK+aoq/EeKtCQaLBtxGAAWJPzAGIp5oSSjLJC3hjc4BGk6CsUv0m4ytuYbTjZku41HUmZ/81yf0rO5CiSBz3O0QwNTbHgEswXYAb+NQVPAVgDmlgnTpc6M7UwzOp4AfCj39QY9CuOCRtET0+Rk9DOtEmns2AZ6DRHO47FzrTBorMQ9YQ
+uUFGJsA8Fs7p2keBZeN0Q5nBQ8GYlGNwIJhKItFkMMECxU8qYoi6J22WQKzMUmalZmjczVYr242KNZzqhxfKR1mIc9ZqIqwYbONmBEvFDgr1TmD8WniAljbf1b6Ni7BrQtLsiGH5B4mSl8yxrNAMcHi0Jrz0ZZGJUlOdZlLuRU/LNXqyy2ycli4PFnDf2LWJzwaxWhXqVshKDb6lDUH4GulaQksil9WjpZLmTHZ6Cs3WJqb3Nwiy6YUsigmL9Nyw
-LW82C2ftqt6YlRGog0SwJtEuifRIYmMSmILEiWhqslv0HdaT20YmaJsFkgwhqy4kEbczzG3J1X6adHgOVqqaOjQtNW9ACoPdHk9Om3owfXTxH2Ycx9vW8jniznRfAKoPLRsdM3pbjal9KNabTj1m3u80+C2socts46rbuOG22oVtuIBPMWRm4uTmDp3Fv6VOoBoYYeK9W71/48OylDJjkwKYlMKmNTBpi0w6Y9MWOndYsBuAwhqWCM5+lRi2i7AR
+Z7igIuiqGLuTVYgmRFennXLpr2K769H618Vsvu1bqntEgKrjVzq4NdNt4Gjed9t227yNioeTMkisjyoqh+4+HmbxLhBHF10t2++YtvNz/rTMVsIMiGVoyT7Pt0+qjbCrn2db/tz3Q7XepO1Ng95F26fEdLnxrBYdCpeHQqKdLIzkdCOlxCRvR3kbMdNK7HQ/lx2R7CRdGwnayvZWk76JYYpNhIGnqz156i9ZgaPSobDQOCzQLEBmOvVP72IOUYSf
-tBLcdI8C+qSwYaPiI4NdCxVdEqDD2VaVqMWZHT/1oRCxRwasUCtl+2XNfmLrFZOKwNrK6XUxO+k8GKucunlWfwkMwjL+9XZDTfw126r0NhSj1dhsYUvg8NvE43UegqhZMeoCS8eagBVpA4FVlyaSZDO3SwCV5gm13QTPd2oDPd/ZLjfiB43YC2lp1ATRAsQhB6RNIeuTcDvIHjBTgTBzOS8O8JsHQ9L7RyR40q2qywt5QQtMWlLTlpK01aWtPWkb
+BLhyiq0w6YSmHJom594o8aJUbGVD4FVkQqWqogtw2ai4gmoKMZcsYrllJ8zVGjMjpti10GCddNqmzfrodVG7HNlk5zebonSW7PVt3G3d5rt2+aHdts30Uvxd3Oygpu5NKKcUHAxKfd6aCkeuKSUwpBoxWfMiHtH6xN0tNG4odHpB7wo1czBotcUMK1FTGi5akrdUurUNas5XSqNBVA6jAdoQ7CZqR0SCNVKKMFcsI3QVSjdc6RPeVKDog4OwguD5
-SkBm02gmnkPs63odR9R2y7ekxTCJC2xv/E4F2LWY2DqVGdQHfcqTEJGN9re9ACKW/BilSAEpLOFKRlLYA5SCpJUiqXyM69IhxR4/aUZw5NjtGnhWJNkxrCpDajPPXsU0aNnP7Bx/Qr3m7x95f752P+tAJtvaEAHOhCfK1j0MgMHiJ6kO8HR7xh3eq4dnCuddPFnjzxF4y8VeBvC3hbAd4e8bAySgb7OAHKi3cBvqguxYg8mCisaJQaiMkbp9BiCa
+wRIA3rACwgZc9BiouiEGITb2DgaLI7Jp4Nzb0FC224g9r/XD70ABDIhiQypBn6T1X2y/dvKuVnziC4eZFfQdX2QlQZl2t/WIh33fr6jQ+5bQLSFoi0xaR6s5Rfskyz6vpP0u/ZiCO33qs6z+59a/pxXvq8Vn6uHXhsY1/7NSKOzPkAYpXELQDlG1YzjooUd0qFq+eAwxq+pMbGFLGxA9TOQP0Jim91R6jxqLiCqcDkxLWgQee5EGWGyMaNGQbEn9
-p5TOEGJpmT2MECkOeAzz2DqAWLs4gOBp1iaHwWlQBr4Or9GVQh0DZK1EPFdINsrOQ8qykOlUZDwI/fixNhGWKhVwSxEaoa11OGddT/TQ5bMER0QdDA80GY8BVofBIZcSmVZJLIzUaV0UINRVRlEYMbMZ9h5kaxtawcbXD3u9w77q8MQU8lAopocHoj1BGbGGNOIJlruCyT4h3hcw+MCsZh7QaNp2fpR0bD/0i8B8PEzi1C6swaMHwAvXcAmgvZAq
+cqD8ISQYhwKMoqhiFwEoz1ul0I4wQk8eFMYfTB5ZEc+mtzUR1V3KELFmuy1drutWStbVJfOzeYOMLG67Qkh/yU5NbFTiPN1uy2VyIbY2y9WAW/kMFrnH6HaweEdrXDAimnB/dx6TEPwU1y2Hg5Yexw3jucM5qwhd6Nw8ng+oJ6vDJa5PX4dT0BGC97aovaEbEQRGUj0RyqbEY7XFAEj1p+Tradjx4n4U0xIkx1G4J5H0TRRrE0wdB0emCTZwQaj6
-aYTLdiePB+mZohJoM40Ab15DceIWghUkYkCdHujvR/o7KXlKKllSB+4fXWJKOpMMQcx4AXQfOxWkFaGQuo9kMd4Ttr5ynVo2mc30QA6tjtMJi7Uibu0xjEQwMZLRLPpa4h+HUOUR1yakdox1g+s+U3WOyCBxuxocTsZHHu9P9FiicdUN/3TjVxpx9cboZB2DDrj/8242AegNgLYdoLZ448tPK0p6UjKZlJoFZTspOU3KXlFuqfw4HO0NwEE1RjBM
+dIg1GCVG66Y7+r2XSYWjxDUhh0YWmQa1jl6jEIiojwYm0VqGrFVdrnxHGBU+Kr9YPrjMH6dKelAyhmxpSQrOjKx96VfvWO36ccWxh/Q+s+57SX94M67R/r70Htoz3+onbgv/34KbjDxO42gCx24ynjThieU8RJ0fG9WXxjlb8ZYX/HXc9TRps01abcKxRDOxYMsHvWPBWh6YI4EcBeDMHwOvRe+qAJZmX0YlCiracotdQybhoyyzwTWNYM9puZDY
-lNdNUJ8yDdlhPUG7hKQugxBK0Vhn0TVKqM/QefU5ys2cuYSfEpZ00rf18VIXWSe+HAaq5EullVLtpMy63psGz6eIYQ0q6tW6u3ubyZRFsbHMWG8sjhomximZOES3gPtB2BpgHWJh2HjbpXTIFtg4dWw9qqxkOGt5OptAV7o1WGm+NzMnw4HuE1GDw9odUgfJuIHQpsQF0D0/ae9NOmXGoojS95C0u2nPTDpn079yQs4YzsCsF7AnsMsqWGsqJ8Mx
+WTYsT7DSl3GfBlXcZqpNmaRDtJsQ/Ses166zBNk2Q/Ys5NuruTySK3Sof5M+a28fqrQxRIQz66mqiMokURAeXiSo1cS6GPKe4Bnm10R81LT4dSnrUXj2akollJm1uHKynh/ISHLLV84K1ae8YPacL1mm5I2qjrK6ly2jZ+teR58/0lODfB3zHgzs2ADEunpoYpLaEFTBksVY5Lb511EpaRK/muE3qQDkBajM4a6jhJJbUXhuk0C6BDApgfXg+31m
-ibgux0keVllC/cDQv2XGz6lw7S2Zb1M0C0opcUpKWlK5nhjBZvszWImM7nDBoYxEwsy8KLHHCU57sfUYbOxGs6FWlMUFdtrhxVE6iTRF3r0QGIjEJiMxKOt6btbCjcVoMQlZv2UcNo33XqOmBRpHAVjsYjmOiCf2u8Vznkt9sucW2rnK6+xsXocdQDHHJju5oAxca3H7ilzh50BcAQvPwHCrexA4kcROJnELiWwK4jcTuIPF3zl8wExCs2GYtthu
+QF563o2vr8itmlE9LSHbGoQVik0SkpQcNfMmNlnrLpJUWImbaNkMnLx61MztqbOXrIF0MbyxEXqx+XvpfeAK5fJQWPDP9uG0c8OaHOo6T8txjHVObAMzmIDzxvQ+uveM/HPjxO+jQ1YVRIHKM6AE/swEM7GcQTB5x1IWC+A6LzgJUd4ILthN+pcQDwPCFAvQ6R4UYiq0EOpczJMs8sjBSWbWPjRggvUSaXkommAuAj3VFJsC6tgguis6TVm4wQbO
-bXFm52hMZJpmsjcCcZrCTDoGDhogQcP3C5zzDFJKusGid6gzplNXIMbsXMunWL2Q/Bik1gypNkSiuPMuk3yoP4plSLkh4i/4vKJUXlDNFrSff35MaGmLjC0sKxY97sW9SMSRE+bosOEYj01u+U+62uQ604JfiDGfALEtanTG9F5w+yK0aZL0ZB3OS/7o6Xcz/Dyl0Tc6YL2UClRNAvneLYct3VJbn3aW6qNrZ/X5J5wX/l9F8vqXHLLBQfsaKEHf
+c3SGHNTqq6wRY8VubvFnmlTpyKwuCnH+xQkUyZkIv4aiRDrdAhKQil+7op5YXxucNxCKJIi9F0teHrDlzmdx2pqmDIjTDPkuL14JPS5xT04CBLouB07jbABNQxC+ydSwrjRKZg8jPSMQlKZxyow6bTUQZQ8A6h/nRsF847ZTcWs02Vr9N0HZtZ6RfAdrA+dCDsHMsD6dl5ZpoxgB6BvsP2+gFM6eoSs9G9texz03yTrAClXhoO5EtleQXBWKb/Zu
-WcOubf6+raBucgtbAvOIzj0Cu+M2zI66QuYlkLyFFCyhVQuoU0IxWOt9Vwc1MdLMXRFILV5Am1eODgmurPYri3zFX3C919rZ9oy7I8FeCfB+wPwevACFBCQh8kMaZAGQ5e2BzDPNLcpaR5Nj4h3UVsQdBSG3Iw7mVmjnOZB0v7Br9g+u+xxW0HH1tRxv/SccANdD5rIB7cVAZuMDCrjK1nPrAaeP3LwW5QdeJRgoBbB14mAazuZGTxUI4b1CCWOu
+UndvFvhX9l88o3ovIemxXljrln7e5ZGOCkD5sm6UifNB0ilEFgVq+agoNvzniriOi4/DKuOAHyVE58q6gGnPdH6VGp+c/VeHMx3yBfx9qxABvGZxs4vVqhncEeAVET0IIMqK6hiWsMlFiKXVesE+DJRqxEiZ4bS06lUwB+xwLyubTTRU3MN8OTgn0hzvK6TV8swQ6nw12QXtS51vRhyaHGsnELdq+Q49fdXPW+TXmt6+oewt+b8NIpv+rofCXXo2
-kptXA8D6kYLuF0bAMGnTUgNnXvYwtYTJDwugQ6K2hv4WRDhF+G2jckPvT5dFVduUrvkOIaOJ3J+hjjb1V43GL7DHDQ0sN34av+OybdM9lUVxL+LNZGJK5y6As2xi013SSxvOMT1dTHI7RuzDTkf0A9nS5e+UFdCUA3M+DgiJwEjyEAjA4EasCQ6yDXgX4qoUaJxmXu1AiAygZskhHwRw3swUAcwAQGYfIg2HJCJKP1lIe4BGITATrv/JZDIhGIBA
+7hrFFbKfMN+yFT9wJoQMhhvg11TUB0IWxeWs0w8peQjGzM1hvY2ypIlwS3kfaK5zFxWJnHHCVWL43xiUIANN707nNA67nmMALnLrD7AW7p2nO9part/3MyADwRe6dBDN2eSED9EKLYVJhX99ktiMVGJjFxiljW2hs6AsSurSJ8/3fvEsXpZyckS58pBUFcxLNBQrxtzB7MYcivybcH8u3N/Mdx/z5bXRx40rev2CXuSXlmBZDvqi9ysrbNuh9KRv
-IhxIENC4AhAJCKlOEHIfgREHWUsR+YjZ1JBj7W9c848cvMvFgjgiOAHAE1CWQ520AREBkHKBthSAqEBYAwEIAIAKAWcBxZSZsUEJvHhCJx3pGHi20Ow+gTUFdLLmQ2/HIgJpPUCCfuPBDV99jjfbQ4QB/HUToJ9eG/TkWInAT/xkE5CfI3pDBQZJ5E8CfpA8nKrF+zVyKfZPe4QTktAofYlZPUn6QXKJ/dWRVOmn+ga8KQ9of6B6HQIRpyU86ekP
+ne311vt84yOcuMAGj8wd4aZObDuVWI7kB5i/jreOLmWrxQlcwgY/B68j+hAIOLgAAD6wA+gBWFNDGoAozACqAZnwAVgtYKDTA/sKlp8LcoCOKNJNfzVHByDfXJIBcCqyiyDEfQx81IKEaktWoYjEqKptrHYdfhKg/MiBc7tJ8wRQhnbhZoHsHdpWg4gvqdzuum7x7rm0OiUCnsYWMRYSoi+FrAdwlFisp9EFRYSgXB6okiwHlqbYtdBLmEIQ+y51
-1QajqsG05SeDO3MfD1h+UGCA5qeQ7TwZxY/yFbGlOiznJ+kC3Dv6lt6wwpxM42f6AChVEflP9AWf7Oan6Qa8HKhLSOgACwlakGqGbTNEDCkqpxzWgef4A7wQIDzpZVhUfIIARgdoA8StoMACATdZYPvXWcXPC0ImcouydNgLOhQJAEZxQ7GdOOkXABjsO1P+cYuJsO7LZ/MuCA6rsZ5zeJyC6zhMhw4pAZQHyDymJBCQvANJYy4ZdrotgJUw0Co+
+t0t0fy8N6fgU3X7oA3IvTfpoM0yFj0Xx3o/Lfhu8Ow2PrP+4TP+OVH1tgJ6ACLgjX5ADABgpFfxkRGp431vgBJmeOfSJRrBNAmIGsJaMAYNHxeKXezA6MIklnaaHo7LngOx4inb26CwMcV2DG0SdepjhiawtmeNABm+ukZqCd8ddaUoopZoOTGSOiJ1gKtXA8tcXGZheCkiqSZPDkTeW0o6wdYIwWl3cTuWCtXsHjBUS5YMnB11C4Zv0lq7qTfdv
-UCxh5QU8Gl7gDpfdRqAvAQV8K/JDvDvs7LyF+c7KcIAWn3DzgPuYYsdUVHQUc5k4LfaEvA+zdbAEQHakaOKgHVLc83WEBQBkI6jjuzOPlB0hSApYQ1+3e3PZ2rXTAAl5oCJdGvIXdgB8HnmyDqgO8cAPF46hdduvfJgiQY4QEYBUR2g6nJRMnjCDBAw3PMRim6mOetpXVkFXw7/gMDD1438r5sv0soKUhagYbiN1G7uWlwnlQ4TV4yCyC0QJsmQI
+stCIutwi5DUhpEY6vo5D3Luih7EVX0wtz2NnQSvC7gDryOyQttVy6OFqaiUxLKtMUGyjj00xbD0VI4aIVlpvB7VTaWiPbo81OsWo5YTIfEk/1PvjE9N9403xf8Pj421yzxrfEc2Ao0kn07cmOopdfi4i9Hr0RF672L7Jzgseal5CFpfphlEjLvI8S/+6owyXaUTS2dojcRalE0bhlww/7O9T0HTDgvAfosfWPbH9jxx8472CuP3HmsTx1bYIc230
-QDHyKXVNqg+CJgJkGuRHNNXEhrjJVqDdaunHQ4MPkm19e4AzHcUPt1OMvPBwBlUYYAHBBghAA===
+zq0zM4vuzNDH4UeZsYzipOlyO75Uxqy8w5sv4NCGSZ9o/g6n31viHZc/7VmcGMr7IQwM0h/mfGNFmZh3zr/WccatKOA7KjghWjrKsgGKrDxxs9VYRvzaFzzV2OwY6pnrnE7gozQMW1LZePg2vGpF+cLBAPKeGJdtqM+XKzarIj8ZFRFmXIpSTRsYhSELJI6ynDPzLLb84VlkQfAu2zFfZBQQ7usvKTJ13JxCKgvcvB7cF4e8jFHtMmXNXJpQ7ydq
+
+evW3W71nC8Kd9GEAxTIapV61V2DSny7sSw8gcHad04p4hWaa0M4brH3TXp9i1/VkKwOtOLV9mUTxalQmmcbD9vG8JYowgeIQ7BYWzQ3Jd+u25ckRT2B+b37BIPylqbHWvg/CfdgSH0bGg+uL5uHikt5QBsK2E7DeHhDty8rfn1Az/pAHrVlES7P7Gezc+G7d253y77YzJt6TC9uA0Ofx3AjiBXnKdutQmW3wFMggqucdQ0wrWBsGmA6D5XCVhV1l
+
+b7aDu7uQ7+7zR4e6IfHuo7dVy93AYq8rDwAKkBDHADgCaguIi7aAIiAyDlAiAwhBYAwEIAIAKAmsZWTSfZAHxhvy9koHRFjhF4Ow+gUhon0ULsuuv439xPUCm/9fe7Z16C4OVMwiAlvU3ryJdfKdDMtvE30klN5m/2aR7BQI7zt/SBneB0B3nkFd8m/pA7YE9ll495O/pAnI6Fhqu96eK7fOAUALyD8lVA5QZsv35b+kC8gA/1QhAIwNJFwgLftv
+
+T3/QJ6VqAdeuqHEfeJt8W/I/GvWX5R5s8gA4+Pv+gHcP7awV5fSrY3pHyT7hnfh4MZGh78T7++Q/m4L3p0JDiNBYM1QIStAMtZ0WvB3UvYAWV19prUg1Qw9X3V0Eag45Z1s668l16MDtA5bPFBgAQGvxkgeZJ2/lD7HB9TeXvAU2Oi5tFAPehQJAGH3D/PJdezfD+DsA+zB82+NUjJMn+fWCAhy4mJARbCgk1hMhRYpAZQHyAAAUkS6gLwFphh/C
+
+QBHaNAAEpDQdsJ/PGHlDlB/fQfiS6H7T+8BKLUfvYLH40q/fbvX3qAOWEVcaGEA8fwBDqUum/7Xf2M2JtgCIAPtw7JQCCm14PexNhAUAU8NJCb+QBZgpAOkKQArB/Z7jsTPvwP5d+aA3fI/vP3YBTggFsg6oCCnACd/qQJ/U/1/ghmwBF/GA34doCxpQQRkwgwQLf0jGeco+6EBU+1yqOpDTe0gJ/lHLDc4iUhagJ/nf3v6veXfHAzAGv4yCyB/g
+
+NUmQEIAZK3IlPLVA+8EwCZAWOEjI1+h3iODfKa/rX5deI4BqgkAJUov64A9XsZAIBFGggDgApsK5wxgwAKXBCQQAA===
```
%%
\ No newline at end of file
diff --git a/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.svg b/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.svg
index b316d1af..ddfefd1f 100644
--- a/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.svg
+++ b/Excalidraw/Drawing 2026-03-30 01.05.52.excalidraw.svg
@@ -1,2 +1,2 @@
-
\ No newline at end of file
+
\ No newline at end of file
diff --git a/Excalidraw/demo_théorème_du_début.excalidraw.md b/Excalidraw/demo_théorème_du_début.excalidraw.md
index fb563540..e746929f 100644
--- a/Excalidraw/demo_théorème_du_début.excalidraw.md
+++ b/Excalidraw/demo_théorème_du_début.excalidraw.md
@@ -145,12 +145,12 @@ t4wqYMawXDHT9N4koFVOFFazRRAmy1k1mk0TEEu8Qn/ReDuB/iEBRqc48LQlE3BmIhxjaaNOmNeySd1X
sLhxLM4Wewnxatg8WgUkvO6RiLJIzMTEG+jzL+SfASwdKlVCsEuAL6WjNINo0zCM7r73tpGsVjvtLJ76cFh+wHX0eB2iqxjb4yHexr1acbfO8qqCEsc/HDoqZxUA1TnztPDFczs5OEA2GShialNMExRiAaCMOyLjhMK4ASZgOlc4D9x+Wo6uUW2a8DiaySn40QtAMULBSZECzqgsSiIUBUOC1wg0sxQtLuanS5cFBP7LwTWh0k1CZVNqmNTnmgPd
-lunW5b610hxtewkf57BBZH+sgyFS7XhVNKtwEmESYS0kn8mI633XbSMO0mLdPS6Q+Hr9oKGYw0ewKt5bxOvc1Dbu1efVt5OS0j1A9E9YKeWWtaRTqAPwxbvz1SmbLMp59Q1cfMHJGY0JuAPKDEgW1oAyVDIOUErCkBXwAwBgIQAQAUB6guF4jcvrnNznGQGJEQMYjHDVh9A8oZBgRqQVDXuITsMyktfGvSzOj+FzfWDTmtbWU6S1+7GGZ+28rjrC
+lunW5b610hxtewkf57BBZH+sgyFS7XhVNKtwEmESYS0kn8mI633XbSMO0mLdPS6Q+Hr9oKGYw0ewKt5bxOvc1Dbu1efVt5OS0j1A9E9YKeWWtaRTqAPwxbvz1SmbLMp59Q1cfMHJGY0JuAPKDEgW1oAyVDIA8VAYDAGAhABABQHqC4XiNy+uc3OcZAYkRAxiMcNWH0DyhkGBGpBQNe4hOwzKC10a9LM6P4XN9YNGaxtZToLX7sYZn7bysOtzWFrS
-1paytYD7UaNr817a+kDuvEggdBQa689f0Dqx4zCiT66dfSBewWN6Nf64UzOucAoA92G5NKCyOPWTrYN9IPdghuyhCARgV1n9c2s3X0gTyPyEQGUCwxd4y8I65ja+sdWeTrhsEqDcWvpBagaeim0svypw2sb+gS5lBElTPNZrJNgG/oHuyVwfrFoPfNbgJAygA43ABkldtNLkqFg8Fj6yeeFv4A72aAOsPZkjrFh1OTpF/hACMBsADAf3BgAQDKrY
+1gPtRrWuzXNr6QG68SCB0FBLrj1/QOrHjMKJ3rx19IF7BY3o1frhTE65wCgD3Ybk0oLI/daOsg30g92MG7KEIBGBXWP19a1dfSBPI/IRAZQLDF3jLwDr6Nj6x1Z5OuGwSwN+a+kFqBp6ybSy/KjDYxv6BLmUESVM82mtE2/r+ge7JXC+sWg981uAkDKADhvBHqRpC4CknYTMQwLA1k84LfwB3s0AWzS1BUhMUMk1gWMCAEYDYAGA/uDAAgGVWxAO
-hPgw5FYPoSptLWfrLMVfAxq5CzX2QJAFG2jd4ZDX7bN66sLoXgYQBXbqsbOrTfunBABFV+kgB3kgT1ByQuh5QMyD2GzFqAcMTYHHdjsWplgJw9UOrECihgRQ5QUgJHdwDR3iEsdp0gXfztfVTMKds21zagCvWEAQNqAEmClO36EAad1+MPWGYaH/bFApkkQF0LVWSgHAWEjnu5rCAoAz4C8D3YqoihiQpATMP3dFO57x7A1pgH7c0AB2B7ZtuwKY
+Z7dgFWKhTYWtfWWYq+BjVyGmvsgSASNlG7wwGt22b11YXQvAwgAu3VY2dam/dOCACKr9JADvJAnqDkhdDygZkHsNmLUA4YmwWOzHYtTLATh6odWIFFDAihygpACO7gCjvEIY7TpfO3na+qmZk7+hYG89YQAA2oASYKU7foQCp3X4w9YZhob9sUCmSRAXQtVZKAcBYSOe7msICgDPgLwXdiqiKGJCkBMwvd0U7ntHukBx7vtzQP7b7tl27AphSatk
-UmrZBZQfduAD7YMhL2V7eQ9ENgFruMAoIOtp9ZAmRxhBggJ9xJNudwxs2z0zQ3swwIJDLW0gd94Rkca2F4g/Id9s+xfYiMlBHAzAdu2SCyCwRVYmQKZEfb4rbdhKgQCUEwEyDdpe67dq6x2CPYH2O7H1jsNh3b7b3cAcAOADZBwdrKEA4AaWL0KDDAB7wt4IAA==
+FlA924A3tgyAvaXt5D0Q2Aau4wCgja2n1kCZHGEGCBH3Ek253DCzbPTNDezDAgkItbSA33hGRxrYXiD8g32T7Z9iIyUEcDMBW7ZILILBFViZApkB9vitt2EqBAJQTATIN2l7qt2LrHYI9nvbbtvWOw2HdvpvdwBwA4ANkLB2soQDgBpYvQoMMAHvC3ggAA==
```
%%
\ No newline at end of file
diff --git a/Mathématiques pour non spécialistes – suite look-and-say.md b/Mathématiques pour non spécialistes – suite look-and-say.md
index 0f0bdef4..afe7581c 100644
--- a/Mathématiques pour non spécialistes – suite look-and-say.md
+++ b/Mathématiques pour non spécialistes – suite look-and-say.md
@@ -101,8 +101,18 @@ Le début arrivera toujours sur l'un de ces cycles :
--
### Théorème du début — Démonstration
-![[attachments/Capture d’écran 2026-03-29 à 22.50.04.png]]
+1) Montrer que toutes les chaînes des jours $\geq 2$ ont une certaine forme (lister les cas)
+ + équivalent pour $R$ ne commençant pas par $22$ et pour $R = [22\cdot R'$
+2) Vérifier que ces cas arrivent tous à l'un des cycles
+
+
+![[attachments/Pasted image 20260330014744.png]]
+
--
-### Théorème du début — Démonstration
\ No newline at end of file
+### Théorème du début — Démonstration
+
+3) Simplifier les cas (en assimiler certains)
+
+![[attachments/Capture d’écran 2026-03-29 à 22.50.04.png]]
\ No newline at end of file
diff --git a/attachments/Pasted image 20260330014744.png b/attachments/Pasted image 20260330014744.png
new file mode 100644
index 00000000..9039823f
Binary files /dev/null and b/attachments/Pasted image 20260330014744.png differ
diff --git a/désintégration audioactive.md b/désintégration audioactive.md
index 6b56dc07..a6c7f938 100644
--- a/désintégration audioactive.md
+++ b/désintégration audioactive.md
@@ -211,12 +211,13 @@ header-auto-numbering:
> > - en assimilant $[3^{1}X^{1}$ et $[3^{1}(\leq 2)^{2}$ aux deux cas $[3^{1}X^{3}$, $[3^{1}X^{\leq 2}$
> > - en assimilant $[3^{2}(\leq 2)^{\leq 3}$ aux cas $[3^{2}X^{3}$, $[3^{2}X^{\leq 2}$
> > - en assimilant $[1^{3}2^{2}$ et $[1^{3}X^{1}$ au seul cas $[1^{3}$
-> > - en séparant $[1^{2}2^{\leq 3}$ en $[1^{2}X^{1}$ (qui est déjà listé), $[1^{2}2^{2}$ et $[1^{2}2^{3}$
+> > - en séparant $[1^{2}2^{\leq 3}$ en $[1^{2}X^{1}$ (qui est déjà listé), $[1^{2}2^{2}$, $[1^{2}2^{3}$
> > - en séparant $[2^{1} X^{\leq 2}$ en $[2^{1}X^{2}$ et $[2^{1}X^{\neq 2}$
> > - en ajoutant $[1^{1}3^{2}$
> > Cela nous donne la liste suivante :
> > - $[1^{1}] = [1^{1}X^{0}$
> > - $[1^{1}X^{1}$
+> > - $[1^{2}X^{1}$
> > - $[1^{1}2^{2}$
> > - $[1^{1}3^{2}$
> > - $[1^{2}2^{2}$