{
  "schemaVersion": 1,
  "lessonId": "distributed-04",
  "contentHash": "fba8433e52316e9b4754f027642448996809914e15f1853638a5018bfa9eaeb8",
  "executedAt": "2026-10-20T10:47:51.553258+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 4,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Recorded backend/processes/devices: cpu 1 4\nRestored step/cursor: 1 8\nNext sample IDs across epoch boundary: [[12, 5, 4, 1, 8, 13, 2, 11], [9, 0, 7, 15, 11, 13, 8, 14], [1, 6, 5, 4, 3, 12, 2, 10]]\nUninterrupted losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\nRestored losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\nCheckpoint: /var/folders/mp/_mq7srqx2y10p5nhjz9m7hj40000gn/T/jax-distributed-recovery-8l8pqueq/step-one\nRecorded backend/processes/devices: cpu 1 4\nRestored step/cursor: 1 8\nNext sample IDs across epoch boundary: [[12, 5, 4, 1, 8, 13, 2, 11], [9, 0, 7, 15, 11, 13, 8, 14], [1, 6, 5, 4, 3, 12, 2, 10]]\nUninterrupted losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\nRestored losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\nCheckpoint: /var/folders/mp/_mq7srqx2y10p5nhjz9m7hj40000gn/T/jax-distributed-recovery-9h7rtdxi/step-one\nSame next sample IDs, different weights after missing momentum: 0.0195157527923584\nFive resumed transitions and all addressable parameter replicas agree.\nCurrent-epoch batch matches; next-epoch batch exposes the wrong key.\nPASS: distributed-04\n",
  "notebookCells": [
    {
      "sourceHash": "a3c3ad433e7428658e502596577dfcea4fee9848e4ddfef52a067994581c1029",
      "outputs": []
    },
    {
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    },
    {
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    },
    {
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      "outputs": []
    },
    {
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      "outputs": []
    },
    {
      "sourceHash": "dd7d4409cb28da72ce132f640d0d85cccba7c6d2ffc4fa8c2a3eb72d7bf89e39",
      "outputs": []
    },
    {
      "sourceHash": "5afb3804305c98101ce1f297990aa249057ab1cf5a846b6ac09611fda79a752f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Recorded backend/processes/devices: cpu 1 4\n",
            "Restored step/cursor: 1 8\n",
            "Next sample IDs across epoch boundary: [[12, 5, 4, 1, 8, 13, 2, 11], [9, 0, 7, 15, 11, 13, 8, 14], [1, 6, 5, 4, 3, 12, 2, 10]]\n",
            "Uninterrupted losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\n",
            "Restored losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\n",
            "Checkpoint: /var/folders/mp/_mq7srqx2y10p5nhjz9m7hj40000gn/T/jax-distributed-recovery-3otrvccy/step-one\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "5b3c24613331118f4ad3fd4f01bb19c3765f2875eea6a9a295d9389643233bf3",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Recorded backend/processes/devices: cpu 1 4\n",
            "Restored step/cursor: 1 8\n",
            "Next sample IDs across epoch boundary: [[12, 5, 4, 1, 8, 13, 2, 11], [9, 0, 7, 15, 11, 13, 8, 14], [1, 6, 5, 4, 3, 12, 2, 10]]\n",
            "Uninterrupted losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\n",
            "Restored losses: [0.5069587826728821, 0.19637340307235718, 0.1798383891582489]\n",
            "Checkpoint: /var/folders/mp/_mq7srqx2y10p5nhjz9m7hj40000gn/T/jax-distributed-recovery-ez7ibc0v/step-one\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "c545f1986fdb75a89a424c03b6afc23a12c6685c2ed65c65bc7acbb72c0b97d9",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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Uybz+4Ycf9Prrr8f7OVmzZtXNmzfNgr1God5H8fX1fWC7kcApXbq0Vq2yz341W5u66oAGb19tFuO9V7Ywd/3zYlcVyp30glwAAABAenDmzBnzkIsSJUrYOxQgXq2bPmcWvt1xcHW6mqVjx46Zi0MSerBOfDtkUvUKGCPJEcPTM/69hvf23b59O8H3N04rMk4tWr16tZkgMT7PeBiJmffff9/M6h06dMg8Qvr++yY0tnv7ExNbRtDtqXIaVq6uHO5LAXrccdb0Lw8qOPBusV4AAAAAANKyVF0DJrnlyZNHo0ePjtNeuHBhjRw5UpUrV1bnzp3NhMx3332nYcOGpUhcfn5+D10ZE182LS1657kGCp4Spc+PRtf6KXw5k3yP59eFqED9+fl+vfllHbm5Z+j/TAEAAACzDsa9z0Dq5JAu/zt1cHAw/0xJ/Vk8Va+AufcP97AThO7ti9kWZAudOnVSnTp1zOt58+Y9Vmz39tsytvTk4+4NNaBgNT15Iat8j+WXY1T0N+3xfdf069Ctigh/eIVtAAAAAABSu1SdgMmf/+5pOOfOnYt33NmzZ2Ov8+XLZ9MYYladnDhxIk4CJiah8rDYAgMDze1NyRFbevLdS831RaOn5Pj/GdMYB7Zd0u+fbZclMtWWKgIAAAAASFq6eoZ2H1nHXKTFBIxRcNYoNGXYv39/vONiThcylgSVKlUqxeIrW7ZsgmN71GlJkFp1K6WWz8ctKrZj3TlN/HaXLBaSMAAAAACAtClVJ2A8PDxUt25d83rp0qXxjovpq1evnvme5KjHcu9pSTGaNm1qPm/YsMHq5KQHxWYU4o3ZzoT4te9XVo3aPhGnfd7Gw+ry1czYY8kBAAAAAEhLUnUCxtC7d2/zed26ddq0aVOcfqNt/fr15nWvXr0Sde9HncA9d+7c2M9s165dnP7u3bubq26M5MuPP/4Yp//69ev67bffYuvJPOq0JEQXN3r+9Yqq1bRg7HRczBygNeVOa3HgcfUYNZdpAgAAAACkOak+AdOzZ09VqlTJvO7YsaOWL19uJk6Mh3FttBmMMT169LB679q1a80f6I3HhAkT4ty7fv36+uSTT7Rr1y6FhYXFtvv7++vjjz9W165dzdcFChTQ4MGD47y/ePHiGjhwoHltnJBkJGFCQ0PN18bx1a1atdKlS5fk7e1tfg4SxtHRQX3frapKdfLqbLY7WlvWXxFO0cmyuTePaOAvi5lKAAAAAECa4hD1qGUgqYCREGnUqFFsIdyYbUbBwcHmc7FixbRmzRoVLHh31URMAsZ4n2H8+PGxq2liFClSRKdPnzavjZUsmTNnVkREhG7fvm1Vh8ZYCRNfbRkjcdO+fXstWbLEfO3s7GyudIm5h5eXl/n+Zs2a2awgcHzHVKc3YaERqjZ8rI47XY/T98YTNfV5n+gtYAAAAEB6d+TIEfM5JWteArDt91+qXwFjMBIre/fuNVeRVKxY0UyWGI8KFSpo+PDhZt/9yZeE+OabbzRgwABVq1ZNuXPnNo+LNlawGCteWrdubSZtdu/e/dBJdnV11aJFi8wVNg0aNDBPRjLuYdSMMe5tFOG1RfIlI3J1c9aad3urQETcs9a/P7FVX0zfYJe4AAAAAABIlytgkDFXwMS4cPW2an0zTpddgqzaHSzSNzWaamDbmnaLDQAAAEgJrIAB7CdDrYBBxpY3Ryatfq2Xsoa7W7VHOUpDtq3U1BV77RYbAAAAAAAJQQIGaUKx/Nn194s95BPuatUe6Rill9cs0cJNh+0WGwAAAAAAj0ICBmlG+WK5tbDHc/IId7Zqj3CyqOfi+Vq96z+7xQYAAAAAwMOQgEGaUqtsQc3o0EmuEU5W7aHOkeo0c6a2Hzprt9gAAAAAIK06f/aCKpdqoH49Btk7lHSLBAzSnKbVi2l8i7ZyjrT+zzfIJULPTJqmA/9dsltsAAAAADKWMT+NNxMXC+cus3coSOVIwCBNal+/jH5u0EKOFger9tsuYXp67GSdPH/DbrEBAAAAAHA/EjBIs3o9XVlfVHtKDvcdpH7LMVQjPlujoIBwe4UGAAAAAIAV62qmQBrz2rO1dCsoVJ8d3iA5SM4Rjmp4qKB0W/rxg81686s6cnPnP3MAAAAgsaKiorTptL9OXr+hotmyqk7hgnJwsF6BnhoY23/y5sujBX9P1aQ/pmvp4pU6539ehYsW0oz5f5hjIiMjtWDOUi2a/7f+PX5S4WFhyl8wn5q3eko9+nSRu7ub1T2Dg4I166+FWrZ4hS6cu6SQkBBlzZ5VRYsWUqOm9dSpa1tzXMvGXXTh/EXzeugHX5iPGMNHvqc27VvEvt6+ZZemTJipfXsPKTAgSNlzZFXN2tXU7+UeKlAwX5x6LK2adFXV6pX045jP9fvoSVr1z3pdvHBZderX1KhfPjPHhYSEasbUufp76RqdPnlGlqgoM0bjczs911ZOTta1Mw2nT/rr5+9/17YtuxQWFq5iTxZR996dVaFiGZt+XRAXP5kizftftwa6PS5EY//dpUYHCilboIfZfnz/Nf368Ra9OsJXLq5x/+IBAAAA0pNNp88k6f35M/moSNas5vXpmzfVZeos7b14t75isexZ9UmTRsrt4/1Y9y+XO5cyu7srOURFWTT41f9p25adZtLiyeJFFR4evSI+NDRUbwz4QFs275C3j7fKlCspLy8PHTpwVL/+8Ic2rtui3yaMik3CWCwWDez3jvbs2q/MmTOpYuWy8vD00JXL18z3nPU/H5uAafJ0A23126ljR/5VpSrlVbBQ/tiYCha+e20kXr794hczgVWpSjnlyp1Tx46eMJNCq/5ep5/GfmW238+I3SiK63/mnKpUr6iSpZ9U5iyZzb4bN25q4Atv68ih48qaLYv5+c7OTmaC58sRP2j71t365sdPrJJmR4/8a94v4E6AChcpqFJliuvSxSt6f/Aneq5Hh2T52uAuEjBIF77q97SqTcmnv7cet2o/sP2yfv9su/p/XENOTuy4AwAAQPrVZNykJL1/UJ1a+qJ5E3Ply/3JF8OJazfUbcbcx77/3327q37RIkoOxsoQR0dHzV0ySfkK5LXq+/7rMWbypX5DXw3//H1lyRqdwAgLC9NnQ7/VwnnLNfaXiXp98Etm+67te83ki5Go+WPKT1arY8LDI7Rvz8HY12+9O9AswmskYJ7t2MpqxUuMwwePmTG4urrqh9EjVatOdbPdmOfRP/2p33+dpPfeGmau4HFzs16Jc2DfYZUuW1ILV0xT1qxZrPqGffClmXxp17GVhnzwmpkkMty5E6D33hyu1SvWa86MRerYtU3s53307kgz+dKtVyczdmPODMbYdwYNTeJXAY/CT6RINzp3L69W3UrGad+5/rwmfrNLFst9xWIAAAAAxGFsO7o/+ZIWvPbWS3GSL9ev3zSTEMYKkRFf/y82+WIwEiLvffymsufIprkzF5krX2JWlhiMFSX3b01ycXFW1eoVExXXX1PmmFugjARNTPLFYKxMefnVPir6RCFzFcqK5Wsf+P73PhoUJ/lirGRZv2azihUvqg+HvRWbfDH4+Hhr2Mj35OLioll/LYht37l9r44fPaEcObOZyaaY5IuhcdP6aty0XqL+XEg8EjBIV559oYwaP/tEnPYNy0/rzW+Xxf6lCgAAAODBjJovaVHDp+rGadu5bbe5FalGrSpmYuJ+Hh7uKlO2pG7duq0zp86abSVKFTeTE8b2oDkzFsYmZB7Xrh37zOeWbZrG6TM+p1WbZtGxbt8bp99IDlWoVDZO+5ZN283n+g1ry9k57saWnLmyq1CRAvr32H9mnZjoOKLv36hJPTP5dL+W/x8Hkg9bkJCuGFnk516tqJDACG3+J3oPbKSDRZtLnpP/7Tu6MipQ0wZ3sneYAAAAQKplFNxNa7JlzxpntYrh3NkL5vPfS1ebj4e5efOW+Vy4SAENfu8V/fDNbxox9Ft9Nuw7s15KlWoV9HSrp8xkTmJcvnTVfM5/3+qcGEYx4OhxV+L05c2X+4Hviflzjf99qvl4mNu3bsvdPWdsHEbB4gfJl//B7bAdEjBIdxwdHdR7SBWFBEdo26az2lDaXxeyBpp9824e1cu/LNSYV6L3QQIAAADpxcp+PZNchNdgnHZUMU/uB25DMgrxjmn3zGOdhmQU4U0u99dOiRFThsDYqmOsdHmYzFkyxV4/37OjmjZvpHWrN5mFfY1VLHNnLTYfLZ5popHffKSU8Kg/V/mKZVSkaKGH3sPF1cXqdSo8yCrDIAGDdMkouPvS/6prwdCjuuAcnXyJMfHiPmX+w11fvsASOwAAAKQfdQo//AfxhDKSKzO6dYpTiNdIyhjthbNY1yNJzfLkjU76lC1X0izAmxjGNh6jgK3xMArYGqcKvfvGMC1bvFKt2jZTnXo1E3SfXLlzmCcnGatWjC1F8a1mMU5GSuyfy4ih/6u9ExyH4cL5B9f3OX8u+jhtJB9qwCDdMo6e/uu9TioYcTeTHePHk9s0cto6u8QFAAAApHZGksVvYD+teKGnxj7b2nw2Xqel5Iuhes0q5tHMmzdui62F8rhJKWPrUdMWDc3XRm2VewvzGiIiIx/4XmPrkmHpwhVx+owalUsW/mNeJ6a4r2+daubz2tUbzeRQQlSpGh3H6hUbzBOg7rd88coEfz4eDwkYpGvZMntq3eDeyhXuad3hII04uEG/zN9qr9AAAACAVM1IOtQtUkg9qlQ0nx9n25G9GatY2nduratXrmvIoKG6dPFynDFG26L5y2Nfb9uyS5s3bDNPLrpXYECQdv9/Qd08ee/WZsmZK3plyckTpx8YQ5du7c1iu/NmL9FWv52x7UbixDiC2nifsfqlafPo5E5ClC1fWnUb1DKPoR7+4Ze6dfN2nDGnT/pbnaxUtUYlPVm8qK5euaafR42zStysXb1Jq/5Zn+DPx+NhCxLSvbw5Mmn1a71U76fxuuESEtse5SgN2b5SmTzd1KNZJbvGCAAAACB5GAV1L5y7pA3r/NT26W4qWbq4WdzWOB3p5H9nzARIiVJPqnW75uZ446jmbz7/WZkzZ1LpsiXMAr8BdwK0e9d+3bkdYJ5KZBzbHMO3bg2zAPC0SbN14vhJ5cqT00xWtW3fUpWqlFOZciX15pAB+vaLXzSg72BVrlrB3A5kHCVtfLa3t5e+HDUs3nov8Rnx5Yd69aUhWjB3mVb+vU4lSj+pPHlyKSgo2IzD2PZknAwVk9gxYvr0yw/0Ys83NHn8DG1Y66dSZYqbCag9uw6oa/f2mj55jo1nH/ciAYMMoVj+7PrnpR5qPHai7rjcXW5ncYzSwLVL5ePupnb1S9s1RgAAAAC2Zxy5/MOYz7V8ySotmrdchw8d06GDR5UlSyZz5UmfF7up2f9vLTLUa+hrHku9c9te/XfitHk8dKbMPmax22faPa227VvEbjuKWWXz/ejPNfaXidq356CZADFWl1SuUt5MwBi69+5sJnmmjJ9pjtm396CyZ89q3uuFl3uoYKH8if5zGUWD/5zyk+bPXarli1fp+LET2r/3kLJly2ommFo/21xPt2hs9Z5SZUpo0szR5gqY7Vt3ae2qjSparIhGfPWhKlUuRwImmTlEJXTDGOzO19fXfPbz87N3KGnW1kNn1XLSFAW5RFi1u0U4aU6HznqqWjG7xQYAAADE58iRI+ZzqVKlmCQgjX7/UQMGGUrNMgU0s2MnM+Fyr1DnSHWaPctM0AAAAAAAYGskYJDhGKtcJrRsJ+dI6//8g10i1HrSNO0/8eBj2QAAAAAAeFwkYJAhtatXWqMbtZKjxbqSu1Ef5unfJ+vEuWt2iw0AAAAAkP6QgEGG1b1pRX1VvYkcLNbtxklJvb6dp6CAu8V6AQAAAABIChIwyNBeaVdT/ytXX7qnFHWBqz56ck8W/fDeZoUGWxfrBQAAAADgcZCAQYb3wXP19XrRGuY8FL2UWXWPFJBTlKP+PXhdP3+8ReFhkRl+jgAAAAAASUMCBpD05QvNNLxIA9U6nk+OulsX5tCOyxo7YrsiI+/bpwQAAAAAQCKQgAH+35AX6ql1j7jnuu/acF4Tvtoli+WefUoAAABACnJwcFBUVJT5AJByYr7vjO/BpCIBA9yjXZ8yeurZYnHmZPM/Z/TzD1tksbASBgAAACnPzc3NfA4MDGT6gRQU8z0X8z2YFCRggHsYWc2ur1ZQneaFrOblcqYg/e/yGj3/3RzmCwAAACnOx8fHfL548aICAgJYCQMkM2PVi/G9ZnzPGTJlypTkezrbIC4gXXF0dFCvt6soJChCO9ef1/ksAdpQ2l+RTlFacOuoXvppoca+1sbeYQIAACADyZo1q/mbeOPh7+9vttliSwSAB7t3u5+Xl5eyZMmipGIFDPAATk6OevHD6vKs7qr1Zc6YyZcYky/v0zvj/mbeAAAAkGIcHR1VoEAB5c6dWx4eHuZrAMnH+B4zvteM7znje88W33MOUVRxSjN8fX3NZz8/P3uHkmFcvxWkWl+Mk7/zbeuOKOnD0vX0v24N7BUaAAAAACANIW0KPES2zJ5aN7iPcod7WXc4SCMPb9BP87YwfwAAAACARyIBAzxC3hw+WvN6b2ULd7dqj3KQ3tuxShOW72YOAQAAAAAPRQIGSICi+bLq75d6yCfc1ard4hil19Yv09z1h5hHAAAAAEC8SMAACVTuidxa3PN5eUZYHx4W4WRRn2ULtGL7CeYSAAAAAPBAJGCARKhRpoBmd+oitwgnq/Yw50h1mTNLWw5GHwkIAAAAAMC9SMAAidSoSlFNeqadnCOtv32CXSLUZvJ07fv3InMKAAAAALBCAgZ4DG3qlNboRq3kZHGwar/jEqbm46boX/9rzCsAAAAAIBYJGOAxdW9aUV/VaCoHi3X7DZcQNft5su7cDmVuAQAAAAAmEjBAEgxsW0Mfl2sgRd1tc4p0UKlj2fTTB34KCY5gfgEAAAAAJGCApHrvuXoa9ERN89olwlGNDxRW3pveOnHwun75aIvCwyKZZAAAAADI4FgBA9jAF32b6qV8VfTU/sLKeccztv3Qzsv67dNtioy8b58SAAAAACBDIQED2MgPA1qqV4fKcdp3b7yg8V/uksVyzz4lAAAAAECGQgIGsKG2vUurSYdicdr9VpzRlB/2yGJhJQwAAAAAZEQkYAAbcnBwUJeBFVSneWGrdoui9PmRjer67SzmGwAAAAAyIBIwgK2/qRwd1PvtKqraIL/5OtLBoo2lz+pUrltadPu4+v20gDkHAAAAgAyGBAyQHN9YTg566cPqKlEjh9aV8dfZ7Hdi+6Ze3q+3xi5n3gEAAAAgAyEBAyQTZxdHvfS/6nL1cYrTN9p/hz6Zspa5BwAAAIAMggQMkIyy+nho3dt9lSfcK07fF0c26vs5fsw/AAAAAGQAJGCAZJYnu7fWDOqtbOHuVu1RDtKHu1brz2W7+BoAAAAAQDpHAgZIAUXyZtWK/j2VKdzVqt3iGKVBG5Zp9rqDfB0AAAAAIB0jAQOkkDJFc2lJ727yDHexao9witILfy/Q39uO87UAAAAAgHSKBAyQgqqVyq85nTvLLcK6MG+Yk0Vd583Rpv1n+HoAAAAAQDpEAgZIYQ2rFNXU1u3lEmn97RfiHKF2U6dr7/GLfE0AAAAAIJ0hAQPYQavaJTWm8TNysjhYtQe4hKv5H5N13P8aXxcAAAAASEdIwAB28nyTCvq2VjM53peEuekSqqd+mahzV27ztQEAAACAdIIEDGBH/VtX19AKDeQQZd3ufMdRvw/brpDgCHuFBgAAAADIiAmYwMBAjRgxQpUqVZKPj4/5MK4//fRTs8+WpkyZIgcHh9jHqVOnHjjOaL93XHyP7t272zQ+pC9DutTVm0/Win1d6Eom1T9cUP6HbumnD/0UHhZp1/gAAAAAAEnnrDTA399fjRo10okTJ8zXHh4eioqK0t69e83HxIkTtWbNGhUsWDDJn3Xp0iUNGjQo0e/LkSOHnJysT7aJkSVLliTHhfTts95NdGt0qNbuOqnq/+aVo6K3JR3ZfUVjhm/TgOE15eycZvKlAAAAAID7pPqf6CIjI9WmTRsz+ZI7d24tXbrUXPESFBSkJUuWKFeuXGafMcZisST58wYOHKjr16+rdu3aiXrf9u3bdfHixQc+fv755yTHhfTv5wGtNKJO49jkS4w9my9o/Jc7ZbHct08JAAAAAJBmpPoEzKRJk7Rnzx7zetasWWrRokXs1p6WLVtq9uzZZp8xxhibFDNnztTcuXNVv3599evXzybxA4nRtldpNe34ZJz2LSv9NfWHPebKLwAAAABA2pPqEzATJkwwnxs0aKB69erF6TfaYtqNrUiP6+rVq3r11Vfl5uamsWPHmgkeIKUZ/911GVhe9VoWjtM3Z/Uh9fhmLl8UAAAAAEiDUnUCJjg4WBs3bjSvjdUu8WnVqpX5vGHDBvM9j8NIvly5ckUfffSRSpYs+ZgRA7ZJwvR8q4qqN8wf23YpU6BWlTutObcP64Uf5zPNAAAAAJDGpOoEzOHDh2PrupQrVy7ecTF9Rr2YI0eOJPpz5s+frxkzZqhChQoaMmTIY8XapUsXZc+eXa6urmatmqefftpcSRMSEvJY90PG5ujkoH4fVFf5mrl1LusdrS17RhHO0d8L064c0Ftjl9k7RAAAAABAeknAnDt3Lva6QIEC8Y67t+/8+fOJ+owbN25owIAB5glG48aNk4uLy2PFum3bNoWFhZlbmC5fvqx//vlH/fv3V9WqVXX8+PHHuicyNmcXR708tIb8S95RpJN17ZfR/js1fPIau8UGAAAAAEhHx1DfuXMn9trT0zPecff23b59O1Gf8cYbb5gnFb355puqXr16ot7r7u6ul19+WZ07d1aVKlWUOXNms/306dP67bff9PXXX+vQoUNq1qyZeVx2pkyZEnRfX1/fB7YfOHBApUuXtpoXpH+LBnbSU79M00WXQKv2L49ukvs0Bw1sXdVusQEAAAAArPn4+CjNrYBJbsaR1sbJSUWKFNGnn36a6PfnyZNHo0ePVqNGjWKTL4bChQtr5MiRmjZtmvn61KlT+u6772waOzKOnFk8tfTFzsoe5m7VHuUgfXJwk6asPGC32AAAAAAA6WAFzL1Zo6CgoHjH3duX0FUmxkoZY4uQwVit4uXlJVvr1KmT6tSpo02bNmnevHkaNmxYgt7n5+f30JUx8WXTkH6V9vHRigG91GjMBN1yCY1ttzhGacj21cqRJZM6NSpr1xgBAAAAAPFL1Stg8ufP/8B6MPc7e/Zs7HW+fPkSdO+hQ4ea7zOSJLVr11ZAQIDVIzQ01CrBY7Q9zglLMUmTEydOJPq9wL1KF8mpJX26ySvcuk5RhFOU+v2zQMu3UmsIAAAAAFKrVJ2AMeqdODpGh7h///54xxm1UQxGId1SpUol6N4nT540n2fNmmWuKLn/YdR2iVG2bFmzrUWLFkn8EwFJU7VkPs3p0lluEU5W7WHOFj03f4427jvNFAMAAABAKpSqEzAeHh6qW7dubL2W+MT01atXz3xPahKznaho0aL2DgXpRIPKRTW1dXu5RFp/+4Y4R+jZaX9pz7GLdosNAAAAAJAGEzCG3r17m8/r1q0za6ncz2hbv369ed2rV68E33f+/PmKioqK9zF+/Hir1TJG29q1a63uYbQ9zNy5c2NjbteuXYJjAx6lVe2SGvtUazlFOli1B7iEq8Wfk3Xc/xqTCAAAAACpSKpPwPTs2VOVKlUyrzt27Kjly5fHJkmMa6PNYIzp0aOH1XuNhImDg4P5mDBhgs1jq1+/vj755BPt2rVLYWFhse3+/v76+OOP1bVrV/N1gQIFNHjwYJt/PjK2rk+V16jaT8vRYp2EuekSqsa/TJD/pVt2iw0AAAAAkIZOQYqp67Jw4ULzqGejkK1RhyVmm1FMUdxixYqZY4yxKclItBjFfI2H8dnGUdQRERHmCUv31rExVsJkyZIlRWNDxvDiM9V0KyhUH+9bYx5LHeO6U4iGf7ZaP33xjDw8rYv2AgAAAABSXqpfAWMoWLCg9u7da642qVixopnsMB4VKlTQ8OHDzT5jTEr75ptvNGDAAFWrVk25c+c2T0syTk8yVry0bt3a3Ma0e/fuBBcGBh7H253raHDx2rGvnSMd1OhgIUXtj9LP/9ui8LBIJhYAAAAA7Mwh6lGFTJBqxBxpHVPYF7jX62OWauKpPWp4sJByBHjGtlesnUcDh9eSs3OayLcCAAAAQLqU4J/IwsMjdPnSVV2/fjNOX1BgkL778ld1bttXXZ99Qb/++Ie5EgRAyvnx5Zb6tURLq+SLYe/mi/rz8x2yRJJrBQAAAIBUn4CZN3uxWjTqpB++Hh2n77X+72nqxFn699h/OnbkhP4YM0Wv93/vkacEAbCt5/tUVLPOxeO0b119VlO+3833JAAAAACk9gSM38bt5nOL1k2t2teu3qTdO/eZ101bNFKbZ5ub9Vl2bNujZYtX2jpeAA9hnPjV+eVyqt+qSJy+NYtP6t3v/5HFYmEOAQAAACC1noL037+nzOcyZUtatRtJFuOHvh59OuuNdwaYbSVLF9fXI38y+1rel7ABkLzM78c3Kys4KELb15w12ywOUfIrfk6nr9/WlZ+CNH7Qs3wZAAAAACA1roC5efOW3NzdlCmzj1X7jq27zednO7WObWvzbAvz+cih47aLFECCOTo5qN8H1VShVh5FOFq0vrS/TueKPh79r6sH9cZvy5hNAAAAAEiNCZigoGBza9G9zp+9oBvXbypnruwqXKRAbLuXt6e8fbx062b0D3wAUp5x6tGAYTV1rlqAzmcLsOr77exODZ20mi8LAAAAAKS2BIyPj7d52tGd23di27Zt3WU+V6hUNs74KEuU3D3cbBUngMfg6uakae91VN5w7zh9Xx/brG9nbWJeAQAAACA1JWCKlyxmPs+bvdR8Ngp5zp+91Kw3UbV6Jauxt2/dUWBgkHLkyGbreAEkUq6s3lr7Rm/lCPewao9ykD7es1bjFu9kTgEAAAAgtSRgmrd6yjzC9qfvftMrL76j7p1e1r49B+Xq6qKmzRtajd2756D5XLDw3W1JAOynUJ4sWjmwpzKHW69KszhG6Y3NyzVzzX67xQYAAAAAGUGCEzBt27eQb93qioy0mEdSHzl0zFz98tpbLylb9qxWY1f9vfaBK2MA2E/JQjm1rG83eYW7WLVHOkWp34pFWrblmN1iAwAAAID0LsHHUDs6Ouqn377U30tWae/ug2aR3boNfFWpSjmrceFh4bp69bqqVKugOvVqJEfMAB5T5RL5NP/5rmo9fZpCnCNj28OdLHp+wRwt9HhO9SoWYX4BAAAAwMYcoox9RUgTfH19zWc/Pz97h4I0bqnfMXVdNNtMvNzLWB2zom8PM1EDAAAAALDDFiQA6UdL3xL6vUlrOUU6WLUHuoSrxZ9TdfTMFbvFBgAAAAAZegvSo6xfs1lbNu8wtyrVbVBLtWpXs9WtASSDLo3L63ZQqN7w+9ssxhvjlkuonvp1kja/8YJZvBcAAAAAkIIrYNas2qi2T3fTyOHfxen75vOf9eYrH2rG1HmaPnmOXun3jn749jcbhAcgOb34TDV9UqmhHO7biHjNJVjdv5mj4KBwvgAAAAAAkJIJmHWrNuqs/3lVqlLeqv3wwWOaNmm2eUR1jpzZlTdfbvN60h9/adeOvbaIEUAyGtypjt4pUduqLd91bz2xK7N++sBPYaF3i/UCAAAAAJI5AXNg/xHzuUatKlbtC+YsNZ/rNfTV0tUztHjlX2rfubWZhJk7a/FjhgUgJQ3v2Vj9C1Q1rwtfyaT6hwvKKcpRR/de1ehhWxURbl2sFwAAAACQTAmYG9dvysnJyVzlci+/Tdvl4OCgPi92M/sNLw7oYT7v230wkeEAsJfv+7fQ+/nryPdofjlG3S3Ou2/LRY37fIcskRyYBgAAAADJnoC5ffuOvLw8rdpu3rgl/zPn5OXtqYqVy8a2586TS+4e7rpy+epjBwYg5X3Uv6FadikRp337mrOaNGq3ubINAAAAAJCMCRh3d3fduROgiIiI2Lbdu/abz+UrlDFXwdzL1cVFDo6ccg2kJcb3ccf+5dSgddE4fRuWnNJvv2yXxcJ2JAAAAABIrARnSAoVzm/+9nvDui2xbf8sXW3+wFaxSjmrsaGhoQoICFT27FkTHRAA+zK+p7sPqqSaTxW0ar/qE6Qh51aqzw/z7RYbAAAAAKRVzgkdWL9hbfPEo0/+95VO/XdGV69c0z/L1ph9TzVrYDX2yKHj5m/JjRORAKQ9jk4O6vteVYUEh2vv5ou6mDlA68v4K8IpSjOvH1Km0W76aUAre4cJAAAAAOlvBczzvTqaCZVbN2/r51G/668pc80VMS2eeUrFnixiNXbd6s3/vzLG+shqAGmHs7OjBgytKfeqLlpbNjr5EmPc+d3634SVdo0PAAAAANJlAsbHx1sTpv+qdh1bqmixwipfsYxeffNFDf/8fatx4WHhWjhvmZmcqV6zcnLEDCCFuLg6aeiHjZQ30itO33f/btHXMzfytQAAAACABHCI4liTNMPX19d89vPzs3coyGD8L91SnVF/6IpLkFW7o8VBo3yb6aVnqtstNgAAAABICzimCMAjFcydWate6aUs4W5W7RbHKL21+R/9tSr6RDQAAAAAQDIkYPzPnNPe3QfMh3ENIP0qXjC7lvXtIe9wF6v2SKcovbRqkZZsPmq32AAAAAAg3W1Bunzpqv78bYr+Xrpat2/fserLlMlHT7dqrBf691DOXNltHWuGxxYkpAab9p3RM9OnKcQ5wqrdLcJJCzp3VYPKRe0WGwAAAACkixUwe3btV5d2fTXrrwW6deu2WWj33ofRNmv6AnOMsSoGQPpTp0Ih/fVsB7lGWP/1EeocqQ4zZmrn0fN2iw0AAAAA0vwKmOvXb6p9ix7mqhcvL0916NJatepUV548ucz+ixcva+vmHZo9Y5ECAwKVOUsmzVkySdmyZUnuP0OGwQoYpCaz1x5Un3/mWx1Pbcgc7qY1L/dW6SI57RYbAAAAAKTZFTCTx88wky+FChfQrEUT9MY7A1SrdjUVeaKQ+TCuB739smYvGm+OuX3rjqZOmJm80QOwm44Ny+r7us3Nk5DudcslVE3HTNKpCzfsFhsAAAAApNkEzKZ1W+Tg4KD/ffK28uSNXvXyILnz5DLHGAtr1q/ZbKs4AaRCL7SsqhGVG8nhvnV011yC1eSHSQoMCLNXaAAAAACQNhMw589dlJu7m6rVqPTIscYYdw938z0A0rc3O9bWkBK1rdqcIh1U/FgW/fzhFoWGWBfrBQAAAICMKMEJGEtUlJwcE16z19HBQYk6XglAmjWsZ2MNKFjVvHaOcFSjg4WU74aPju27qtHDtioi3GLvEAEAAADArhKcUcmdO6eCgoJ15NCxR441xhhjjfcAyBi+e6mFeueqqKcOFFau216x7fu3XtLvn22XJZKULAAAAICMK8EJmJq1q5p1XT4b9p0CA4LiHRccFKyRw0eZ9WJq1almqzgBpAGjX2ut7q0rxmnfse6cJn23y/w7BAAAAAAyogQnYHr26SI3N1cdOnBUndr00cxp83T6pL9CQkLNx+lTZzVz+nx1bttXB/Ydlqubq3r06ZK80QNIdTq8WFYN2xSN075h6Wn99cs+WSxsRwIAAACQ8ThEJeJX0qv+Wa8P3v5U4eHh5gqXBzFu5+LiopHffKSnmtW3ZawZnq+vrzkHfn5+GX4ukLpZLFH64/Md2rLS/26borTtyQuqXDqvprzVwa7xAQAAAEBKS3hVXclMqEya8avq1K9pJmCMZMu9D6OtXoNamjRzNMkXIANzdHRQn3erqlKdvObrSIcobS55Tv/luak5Nw7r1dFL7B0iAAAAAKTeFTD3unMnQEcOHtP16zfN19myZVGpsiXk4+Nt6xjx/1gBg7QmPCxSX7+/QeNC9uhCtgCrvjefqKWRfZrYLTYAAAAASBMJGKQ8EjBIi67eClKtL37XOec71h1R0rDyDfRul3r2Cg0AAAAAUucWJABIrByZPbXurT7KGe5p3eEgDd+3TmMWbmdSAQAAAKR7JGAAJLv8OTNp9Su9lCXczao9ylF6e+s/mrpiL18FAAAAAOma84Man2nS1SY3N4ryLlox3Sb3ApC2PVkwu/7u10NPjZuoAJfw2PZIxygNWLNEmb3c9UztknaNEQAAAABSNAFz/txFm9w8vqOqAWRMFZ7MowXdntMz06Yp2Dkitj3cyaLui+ZqnntXNapS1K4xAgAAAECKJWCGjXwvWT4MAGqXL6S/nu2oTvNmKcw5MnZCQp0j1XHmTP3t2V3VSuVnogAAAACkK5yClIZwChLSk9nrDqrP3wsU4WSxas8U7qo1/XurTNFcdosNAAAAAGyNIrwA7KJjg7L6sV5zOVqstyredglT098m6eT5G3xlAAAAAKQbJGAA2E2fFlU0smpjOURZt193CVHjHyfo4rUAe4UGAAAAADZFAgaAXQ1q76v3StWN2xEgjR2+TaEhd4v1AgAAAEBaRQIGgN193L2hBhSsFvu6wFUfNThUUKf339SvQ7cqIty6TgwAAAAApDUkYACkCt+91FzdcpZXkcuZVfdIATlFRf/1dGDbJY39bLsiI0nCAAAAAEi7SMAASDXGvd5Wn1ZtKEdZF+bdue6cJn6zWxbLfcViAAAAACCNIAEDIFXp8GI5NW73RJz2TctPa8av+xQVRRIGAAAAQNpDAgZAquLg4KDnXqso36aF4vTNXH5A/b5fYJe4AAAAACApSMAASHUcHR3U590qqlw3b2zbFZ8grSp/WtOuH9DAXxbbNT4AAAAASCwSMABSJScnR/X/qIbKVM2lC1kCtLrcaYU7RxfiHX9xj94fv8LeIQIAAABAgpGAAZBqubg66ZVPauq/krcU6WRd++X7E1v1xfQNdosNAAAAABLD+UGNVcs0kq1qOew4uNom9wKQMbl7umjN271U65txuuwSdLfDQfrkwDplWuCqgW1r2jNEAAAAAHi8FTDGKSO2ethKYGCgRowYoUqVKsnHx8d8GNeffvqp2WdLU6ZMMZNHMY9Tp049dHx4eLh+/PFH1apVS1mzZpWXl5dKly6tIUOG6OrVqzaNDciI8ubIpNWv9VLWcHer9ihHaci2lZq6Yq/dYgMAAACAhHCIekCWZMe2PQ8cfP7cRX37xc8KCgrWU03rq2btasqdO6fZd+nSFW3z26lV/6yXp6eHBr//ivLmy6NqNSopqfz9/dWoUSOdOHHCfO3h4WEmd0JCQszXxYoV05o1a1SwYMEkf9alS5dUpkwZXb9+Pbbt5MmTKlKkyAPH37p1S02bNtX27dvN166urnJxcYlNCuXMmVMrVqxQxYoVkxybr6+v+ezn55fkewFp0f4Tl/TU7xN1xyXMqt050lFTWj6rtnVL2y02AAAAAEh0AuZBbty4qa7t+snBQfrxty9VomSxB447fvSEXuv/rrlyZPrcccqSNbOSIjIyUtWqVdOePXuUO3dujR8/Xs2bNzf7li1bpj59+ujy5cvmapidO3fK0TFpZW06dOiguXPnqnbt2tq8efMjEzBt2rTRokWL5O3trdGjR6tr165ydnY2kyS9evXS8ePHlT9/fh0+fNhctZMUJGAAactBf7WcPFXBLhFW0+EW4aS5nbqocZUnmCYAAAAAqU6CsxV/jJmiq1eu6X+fvB1v8sVQvGQxc8yli1c0bszkJAc4adIkM/limDVrllq0aBG7Nahly5aaPXu22WeMMcYmxcyZM83kS/369dWvX79HjjdW3RjJF4ORfOnevbuZfIlJlixZskRubm46d+6cvv322yTFBiBarbIFNaNDJ7lGOFlNSahzpDrNnKlth84yVQAAAADSbgJm/ZrNcnV1Ud36tR45tk69mnJzc9X6tdErSJJiwoQJ5nODBg1Ur169OP1GW0z7xIkTH/tzjFotr776qpkwGTt2rJngSWhsRYsW1fPPPx+nv3jx4urcubN5ndTkEIC7mlYvpvEt2ppbj+4V5BKh1pOm6cB/l5guAAAAAGkzAXP50hU5u7gkaKyRvDDGXrmUtAK0wcHB2rhxo3ltrHaJT6tWrcznDRs2mO95HEby5cqVK/roo49UsmTJBL3HqO1iMLZExbf1KSY2YxuTsR0JgG20r19GPzdoIUeLdbL0tkuYnh47WSfP32CqAQAAAKS9BIyXt5eCAoN04vjJR441xgQGBMrTyzNJwRl1UywWi3ldrly5eMfF9Bn1Yo4cOZLoz5k/f75mzJihChUqmCcXJYRRpPfChQsJjs1w4MCBRMcGIH69nq6sL6o9JYf7KllddwlRox8n6OK1O0wfAAAAgLSVgKlUpbx58tBnw79TcHD06UMPEhISao4xVsFUrlohScEZtVNiFChQIN5x9/adP38+UZ9x48YNDRgwQE5OTho3bpx5glFqiQ3Ao732bC19ULqedF8S5opToD4asUqhwdbFegEAAADAHqIrxiZA35e6af2aTdq764C6tO2rnn27qoZvFeX6/2OojS1K27fs0qQ/Z8j/zDk5OTma70mKO3fu/vba0zP+1TT39t2+fTtRn/HGG2/o4sWLevPNN1W9evVUEVvMaUf3M1bQlC5d2uqzAUiD2lTRtTsBGnNutzkdTpEOqn+4oCw3Lfrhw0168X+V5OyStBPSAAAAACAh4jsBOcEJmLLlS+njEUP0yUdf66z/eX3+yagHjjNWyTg5O+mj4W+rTLmE1VKxl6VLl5rFcY0jpj/99FN7hwMgCT7pVl+3xoVq9uUjaniwkHLeiU5+Ht19TZO+2a9eQ8qbiWEAAAAAsIcEJ2AMrds1N4+g/vn7cfLbuD22PksMoxBt7Xo19MqgF1SqTAmbZo2CgoLiHXdvX6ZMmRJ0b2M1Sv/+/c3r3377TV5eXqkmNj8/v4eujIkvmwZkdH++2V51xuzU5i2nrdr3+V3WnDHH1WdIVTk6PvqEMwAAAACwawLGULJ0cf3025e6cydARw4e0/XrN832bNmyqFTZEvLx8bZZcPnz57equWIUyX2Qs2fPxl7ny5cvQfceOnSo+b5OnTqpdu3aCggIsOoPDQ21SqIY/UadGA8PjwfGFp/HiQ3A4+vbv4rcw5y0et5/Vu2b/z4jD08XPfdahQQdMw8AAAAAdk3AxDASLdVrVVFyMuqdGKtqjJU2+/fvV4sWLR44LuZ0ISNBUqpUqQTd2zgW2jBr1izz8TBly5Y1nxs0aKC1a9ea19myZVPevHnNk5CM2OJz78lHDzstCYBtGMmV516tqJDACG3+54xV38p5/+qw4xV9+moTphsAAABAikrVBRGM1SZ169aNrdcSn5i+evXqxa5QSQlNmzY1n5cvX27WvnlYbEadmeLFi6dYbEBGZmwz6j2kiqrUu7vqzKIo+ZU4r28ubdHLvyy0a3wAAAAAMp5EJ2CMY6anT56j1/q/q46te6t10+es+o2tScsWrdCyxSttEmDv3r3N53Xr1mnTpk1x+o229evXm9e9evVK8H3nz59vJk3ie4wfP95qtYzRFrP65f7YjP7p06fH+YwTJ05o5syZiY4NQNIZBXdf+l91la2WS5EOFm0sdVanct0y+yZe3Kd3//iHaQYAAACQOhMwx4+eUIdWPfXN5z9r0/qt+u/fUzp/7qLVGG9vL/0+epL+N+QzbduyK8kB9uzZU5UqVTKvO3bsGLvaxHgY10abwRjTo0cPq/caCRNjO4LxmDBhgmytUaNGat26tXn98ssva9q0aYqMjDRfb9myRS1btlRISIhZL2bw4ME2/3wAD+fi6qRXPqkl/6oBOpvD+vj2H09u08hp65hCAAAAAKkrAXP71h29+tK7unD+klmI980hA+TlHffkICPZ0bZDSzNBsm513BUriWXUdVm4cKGKFSumixcvmnVgjBOLjIdxbbQZfcYYY2xKmzx5sqpXr647d+6oW7du8vT0NE8pMk4sOnbsmHLmzKklS5ZwchFgJ24ezprybnvlCo8+ljqWgzTi0Ab9PH+rvUIDAAAAkIEkOAEzdeIsXbl8VdVqVNLkmaPVo08Xubu7PnBs3QbRxyXv33vIJkEWLFhQe/fu1SeffKKKFSuaiRbjYZyKNHz4cLPPGGMPmTNnNrdBff/996pRo4ZZg8ZYBVOyZEm9/fbbOnjwoBkzAPvJmyOTVr/WS1nD3a3aoxykd7ev1KS/99gtNgAAAAAZg0NUfNVj79P12Rd0/Oh/mjxzjMqUK2m2Na33rK5fu6mdh9ZYjTVuWaNCE3M70ho/il3airGqxuDn52ezewIZyYH/Lqnx2Im64xJm1e4c6ajJzZ9Vu/ql7RYbAAAAgPQtwStgzp45L2dnZ5UuW+KRY41tSEbyJSAgMKnxAYDNlHsitxb1fF6e4c5W7RFOFvVeNl8rd5xgtgEAAADYNwFjbKtxcXE2kysJERIcInd36+X+AGBvNcsU0KxOneUWYV0zKtQ5Up1nz9KWg/52iw0AAABA+pXgBEyOnNkVHByimzeij3F9mKOHjys0NEx58+ZKanwAYHONqz6hia3amVuP7hXsEqE2k6dr/4lLzDoAAAAA+yRgKletYD4vX7LqkWP//H2auVKmeq0qSYsOAJJJ27qlNbpRKzlZrFf1GfVhnv59sk6cu8bcAwAAAEj5BEyXbs+axXXH/jrRXOHyIKGhofrm85+1YtkaOTo6qPNz7WwXKQDYWPemFfVVjSZysFi333AJUeOfJurC1dvMOQAAAACbsK5E+RBly5dSz75dNOnPGer93CuqVae6ggKDzb7vvx6t8+cuavuW3bp9+47Z9tIrvVW4qH2OhgaAhBrYtqZuBYXqk4PrpXsWw1x2CdJzX87W35/0lJtHgv+qBAAAAICkHUMdw1gBM270ZEVERETf4J6ivMatnJyd1P+V3ur3co/E3BYJwDHUQPJ5748V+uHU1tjXea97qd6RgqpQJY9e/8xXLq7WRXsBAAAAIFkTMIaLFy5rwdyl2rNzv65cuSZLZKSy58imSlUrqF2HlspfIG9ib4kEIAEDJK8BvyzShIt7VehKJvkeyy+nqOgEc5V6+fTy0Bpyckrwrk0AAAAAeLwEzLGjJ8znAgXyytPLMyFvgY2RgAGS34c/rdD5ubfleO9+JOP7r2kh9X2vqlnfCgAAAAASK8G/zu3a7gU93/5FhYSGJfpDACCtGPFqEzV99sk47X4rzmj6T3vNrZYAAAAAkGwJGC8vT3l7eylbtiyJ/hAASCuMulZdX62gOs0LxelbPf8/TRi72y5xAQAAAMggCZi8+fMoODgktvguAKRXxjajXm9XUdX6+azar3kH682Tf+ulnxbaLTYAAAAA6TwB07hJPTP5smGtX/JGBACpgFFw98UPq6tc9Vzm68uZArWq3GmFukRq8uV9emfc3/YOEQAAAEB6TMD06vecChUuoJHDv9PRw8eTNyoASAWMo6cHflJLrpWctabsGUU4W2L7fj61XSOmrrNrfAAAAADS4SlIi+Yv180bt/TbzxMUGham2nWqm8dOGzVhHB9yNGvrds1tGW+GxilIgH1cvBagWl//rksugVbtDlHSl1Wb6LVna/GlAQAAAGCbBEyV0g3N4pQG4y0x1w+9uYODdhxcnZDbIwFIwAD2c/L8DdX98Q9ddwmxane0OOiXei3Vu3llu8UGAAAAIPVzTujAPHlzKwE5FwBIl4rmy6p/XuqpRmMn6I5LWGy7xTFKr61fpkyebmpfv4xdYwQAAACQDlbAwP5YAQPY37ZDZ9Vi8hQFOVufCOca4aRZ7TupWfUn7RYbAAAAgHRQhBcAINUoU0CzO3WRW4ST1XSEOUeq69zZ2rz/DNMEAAAAIA4SMACQSI2qFNWkZ9rJOdL6r9Bg5wi1nTpd+/69yJwCAAAAsEICBgAeQ5s6pTWmUSs5WayLYwW4hOvpcZP1r/815hUAAABA4ovw3mvv7gPavXOfLl28ouDgEONYpAcPdHDQsM/efZyPAIBUr1vTirodHKbBW/9W1D3p7JsuoWr8y0T5De6n/Dkz2TNEAAAAAGmxCK//mXP64O1PdejAUav2Bx1LHdO289Aa20WbwVGEF0idvpi+QcMPrpPuOymuYHgm7f14gDw8XewVGgAAAIC0tgXp9q07eqn3mzq4/4iyZc+iJs0bmkkWVzdXtWzTVNVrVZaHh7vZljlLJrVu97SeadsseaMHgFTgvefq6Y1iNa3aHC0OKno8s375aIvCwyLtFhsAAACANJaAmT55ji5duKxyFUpr4d/T9OV3Q812b28vjfjyQ4358zv9s36OuvfurJs3bsnTy1PDP38/OWMHgFTj8z5N1SdPJfPaOdJBDQ8WVIHrPjq864rGfLJNEREWe4cIAAAAIC0kYNav3WxuKRo46AV5eHo8cIyRdHnr3YHq9FxbzZw2X2tWbrBlrACQqv36yjN6LltZNT5QWHluece279l0QeO/2imLJcE7PgEAAABk1ATMmdPnzARM1erRv+GNEREREWfsC/17mFuRZs9YaJsoASCN+OONdurarHyc9i0r/DX1hz3m340AAAAAMp4EJ2DCw8Lkk8lbLi53D05yc3dTUGBwnLG5cucwxx49/K/tIgWANMBIVHcZWEF1mheO07d24UnN+f2AXeICAAAAkEYSMNlzZFNoaJhVW7ZsWcwVMOfPXbRqj4yMVFBQsFm4FwAyGkdHB/V+u4qqNshv1W5RlIZvW69+Py6wW2wAAAAAUnkCJk/e3AoNCdXVK9di20qVKW4+r16x3mrs6hUbFBkRqew5stoyVgBIMxydHPTSh9VVrkZu87XFIUp+Jc7p37w3NPXKfr01drm9QwQAAACQGhMwFSqXNZ9379wX29asRWOznsEvP/yh8b9Pk9/G7Zr4x3R98r+vzGX4dRvUSp6oASANcHZx1MDhNVW0QlZtKOWv07lux/aN9t+hT6astWt8AAAAAFJhAqZxk3pmsmXJwhWxbU+3bKzqtaqYK2N+HvW7Xn1piH78dqwCA4OUI2d29X+ld3LFDQBpgpu7s14cWl2RmeIW3/3iyEZ9P8fPLnEBAAAASFkOUUk8kiMkJFR/jJmsv5eu1sULl83iu7Xr1tArb/RTnry5bBcp5Ovra86Cnx8/sAFpzakLN1Tnhz903SXEqt3R4qCf67ZQnxZV7BYbAAAAgDSQgEHKIQEDpG2HTl1WozETdNvFuqC5c6SDxj/dTh0bRG/1BAAAAJCBtyABAJKmTJFcWtK7mzzDXazaI5yi9MLyhfpn279MMQAAAJBOkYABgBRUrVR+zenSWW4RTlbtYc6R6jpvtjbtO8PXAwAAAEiHnBM6cOf2vY/1AVWrV3ys9wFAetWwclFNCW6v5xfPUbiTJbY92DlC7aZN1wr3XqpUIo9dYwQAAABgpxowVUo3NI+WTtTNHRy04+Dqx40N96EGDJC+TFu5Ty+tWaRIR+u/hrOEu2n9K31VvGB2u8UGAAAAwI5bkIxcTWIeFsvd3+wCAKw936SCvqnZTA73/VV50yVUT/0yUf6XbjFlAAAAQDphs1OQAgICdWDvIf3x2xT9e+ykvvnpU7Yf2RgrYID06asZGzVs/1pF3bfIMH+4tza/20+5snrbKzQAAAAAqa0Ir7e3l2rVqa6xE79XxSrl9MbAD+R/5pytbg8A6daQLnX15pO14rSHB1k09tPtCg+LtEtcAAAAAFLxKUhG3Zc33n5ZgQGBGjd6kq1vDwDp0me9m+iFfJVjX+e77q2GBwvp5O4bGj18qyIi2NIJAAAApGXJcgx1kScKycvbS1s270yO2wNAuvTzgFbqmK20Cl/JpPqHC8rZEv1X9N7NF/XnFztlsdhkxygAAACA9JKACQ+PUGhIqG7eoIAkACTGxEHP6uNyDeR4X0GYrav8NfWHPWaBcwAAAABpT7IkYNau2qCIiAhly54lOW4PAOmWo6Ojnnulguq1LBynb+3Ck5o99iBJGAAAACANcrbVjcLDwnXx4mWt+med/vhtqlkLpk69mra6PQBkGMbfnz3fqqKQoAhtX2tdzPyvhfu0Juykfn2ttd3iAwAAAJCMCZiqZRol+KbGEvlcuXPopVd6P0ZIAABHJwf1+6C6QoIjtH/rJXNCrnoHaW3ZMwq7bJHrb876vn8LJgoAAABIb1uQjKRKQh6ubq5q2aapJs0YbSZhAACPx9nFUQOG1VSJCjl0KXOgVpc/rTCX6NOQfju7U0MnrWZqAQAAgDTCISqBFR13bNvz0H5nZyf5ZPJR4SIF5Oxss51NuIevr6/57Ofnx7wAGUhQQJgqfTpG/q63rdodoqQRlRrprY517BYbAAAAABsnYGB/JGCAjOvMxZuq/f0fuuYSbNXuaHHQj3Wa64WWVe0WGwAAAAA7nYIEALCtQnmyaNXAnsoc7mbVbnGM0qCNyzVzzQGmHAAAAEjFSMAAQBpRslBOLenTTV7hLlbtkU5R6rdioZZtOW632AAAAADYaAvSovnLZSut2zW32b0yErYgATCs33NKbWdMV4hzpNWEuEc4a9Fzz6luhcJMFAAAAJBWEzBVSjeUg4ND0j/QwUE7DnJyx+MgAQMgxlK/Y+q6aLbCnaJPRYphrI5Z0beHKpfIx2QBAAAAqUiCjyvKkze3jPzLjRu3FBIcYrY5OTspS5ZM5vXNm7cVGRH921gPD3dlyZo5uWIGgAyvpW8J/R7cWi+sXGhuQYoR6BKuFn9O1bqBvc0tSwAAAADS4ClIc2Ys1JcjflSZciX10sBeqlazklxdXc2+sLAw7di6R+PGTNLB/Uf17v9eV/vOrZMz9gyHFTAA7vf74h16w+9vsxjvvXKEe2jzm/1UMDfJcAAAACBNFeHdsXW3vvj0e9WpX1N/TPlRtevViE2+GIxro23c5B9Vp34Nff7JKO3cvje54gYASHrxmWoaXrGhHO5LpV91CVaDUeN1+UYA8wQAAACkpQTM5PEzZLFE6Z33X5WTk1P8N3R01OD3XlVkpMV8DwAgeb3duY4GF68dp/2iU4A++myVwkKti/UCAAAASMUJmIMHjsrbx0v5CuR95Nj8BfLKJ5O3Duw7nNT4AAAJ8Gmvxnoxf5XY106RDqp/uKAidkZqzPCtioiwLtYLAAAAIJUmYALuBCgkOFQRERGPHGuMMcYa77GVwMBAjRgxQpUqVZKPj4/5MK4//fRTs+9xnDp1Sl9//bW6du2q8uXLK3fu3OZWqkyZMqlixYp64403dOzYsYe+3zjV6VGP7t27J+FPDgAJ8+PLLdUlexk5Rziq4cFCyn/Dx2zf63dRf3y+Q5bIBJf8AgAAAGDPU5D8z5zTiuVr1eKZJg8da4wJDw9XwUL5bRGj/P391ahRI504ccJ87eHhIaN28N69e83HxIkTtWbNGhUsWDBR9125cqWGDBkS+9rZ2Vne3t66deuW9u3bZz5+/fVX/fTTT+rfv/9D75UjR454t2ZlyZIlUXEBwOP68/V2qvHrDu3cctaqfdvqs3L3cFbPwZXNxDAAAACAVLoCpnHT+mbSwyiuu3nDtnjHbdm03Rxj/A/+U80aJDnAyMhItWnTxky+GCtUli5daq54CQoK0pIlS5QrVy6zzxhjsSRuiX2xYsU0dOhQ/fPPP7p8+bJ5ktONGzcUEhKiFStWqGrVqmYiaeDAgdqyZctD77V9+3ZdvHjxgY+ff/45ibMAAAlj1OEa8Ep11W9VJE7f+iWnNOu3A+bf5QAAAABS6THUgQFB6vrsCzp39oKZXClbvpRq+lZVztw5zP4rl65q25ZdZt0X45ZGHZjp88bJ29srSQGOHz9effv2Na/Xr1+vevXqWfVv2LBB9evXjx3bu3dv2YqRjClQoICZ7OnXr59+//33OFuQihYtal6fPHlSRYrE/YHHljiGGkBCGduNxn62XdvXWK+EiVKUinXJoQ9fTnqCHAAAAEAybEHy8vbUuMk/6J1BQ80ki/E4uP+I1ZiYXI6RnPnq++FJTr4YJkyYYD43aNAgTvLFYLQZDyMRY2xFsmUCJmvWrCpZsqR2796ts2etf4gBgNTM0clB/T6optDgCO3bctFssyhK25+8oOnnDuvSmECzZgwAAACAVLYFyZA7Ty5NmP6Lvhw1zNySlCtPTrm4OJsP49po+3LUUE3861flzZc7ycEFBwdr48aN5nXLlvH/oNCqVSvz2UjCGO+xlStXrujo0aOx25UAIC1xdnbUgGE1VbJSDkU6RGlzyXM6keem2ff7uV36aOJqe4cIAAAAZBgJXgFzb32Bps0bmo/kdvjw4di6LuXKlYt3XEyfUS/myJEjqly58mN/pnEPox7M5s2bNXz4cHP7kXEy0muvvfbQ93Xp0kX//vuv7ty5Y66cMU5o6tChg3r27Cl3d/fHjgcAksLVzUmvfearVh9N0RnP21Z93x7frMwz3fR25zpMMgAAAJCaVsCktHPnzsVeG7VY4nNv3/nz5x/rs+rWrWvWtjFOQsqXL586duyo/fv3q3DhwmaRXmMr0sNs27bNLOLr5uZmJnCM9xgnJxmFfI8fP/5YMQGALXh4umjiO88qR7iHVXuUgzR071r9vngHEw0AAACkthUw8bl+/ab27NwnB0dHVateUT6ZfJJ8T2M1SQxPT894x93bd/u29W94Eyp79uzmKUuhoaG6eTN6if4TTzyhUaNGxRb5vZ+xsuXll19W586dVaVKFWXOnNlsP336tH777Td9/fXXOnTokJo1a2Yel50pU6ZEFdu934EDB1S6dGmreQGAhMji5aQFvTqq5YSZuuUaGttucYzSm5v/lqtTlNrXLcVkAgAAAEnk4+OTtBUwhw8e06cffa2pE2fF6Vu+ZJVaPdXFLND79msfqWXjLlqzKrp2S1qxYMEC88ho4+SjW7duafbs2XJxcVHbtm3Nh3H09f3y5Mmj0aNHq1GjRrHJF4OxambkyJGaNm1a7GlJ3333XYr+eQDgfsULZNOc59rLK9zFqj3SKUqvbVihf3b8x6QBAAAA9j6G+rsvfzWTL2+887J69OkS23750lW1bd5NoSF3f6NqcHNz1ezFE83jqB/XokWL1KZNG/PaWEFSoUKFB44z+oyaK4bFixfHFuVNKmMljPGZ/v7+euedd/TVV1891tamTZs2mfcx4kwKjqEGYAsb951W6+nTFeIcYdXuHuGkBV2eU/1KRZhoAAAAwMYSvAJm5/Y95nPDp+patc+duchMvjzxZBHNWTJRi1f+pUpVyiksLFzTJ89JUnD58+d/YD2Y+917RLRRv8VWsmTJoj59+pjXxpaipCRNTpw4YbO4ACAp6lYorGltO8g1wvqfgBDnSLX/a4Z2H3u8WloAAAAAbJCAuXrlulmk9v7jpTes8zPbXxn0goo+UVj58ufROx+8LmNhzTa/nUoKo96JceqSwSiIGx+jNorByclJpUrZtoZBTBLIqC1jFNcFgPSgRa3i+r1ZGzlHOli1B7qEq8WfU3Xk9BW7xQYAAABk6ATMrZu35OPjbZ4SFCMkJFTHjvxrttWuVyO2vXTZEmbb+XMXkxSch4eHuYXHsHTp0njHxfTVq1fPfI8t/fff3ZoI3t7eiX6/n5+f+Vy0aFGbxgUASdW5UTmNqtNcjhbrJMwtl1A1GT1JZy5GFyQHAAAAkIIJGON0o8DAIKu2g/uPKDLSolJlipvHL9/Ly9tT4eHW9QUeR+/evc3ndevWmbVU7me0rV+/3rzu1atXou4dEfHw+IyivOPHjzeva9SoEeckpkeVz5k7d25szO3atUtUbACQEvq1qqpPKzWUw31/nV1zCVbD7yfo8vUAvhAAAABASiZg8ubNpcjISB3cfzi2bd3qTeb2o4qVy1mNtVgsCgwIUtZsd08Gelw9e/aMLbDbsWNHLV++3Ex8GA/j2mgzGGN69Ohh9d61a9ea8RmPCRMmxLl35cqV9fnnn5vbm+5NxhgnIU2ZMsWs32JsOzLeP2LEiDjvN46n/uSTT7Rr1y6FhYXFthtFez/++GN17drVfF2gQAENHjw4yXMBAMnhrU519E6J2nHaL7gEqMsXsxQWGsnEAwAAAEl0dz/RI1SpXkmnTvrr80++17v/G6SrV66ZBXgNdRvUshp78r8zZkIjZ64cSY3PrOuycOFC86hno5BtixYtYrcZBQcHm8/FihUzxxhjE8NIlHzwwQfmw9gylSlTJjPJZBxDfe/53WPGjFHTpk0f+P6hQ4eaD+OzjaOojT+3US/m3jo2xkoYo6AvAKRWw3s21q3fQvXb2bu1u/Lc8FLBwz76degWvfqpr5xdEpyzBwAAAPC4CRjj6OklC/7W4YPH1Pu5V8w2YxWKUe+lRq0qVmM3b9hqPpctb5uCuAULFjSPcP7uu+80Z86c2BOFjKOdO3ToYK4u8fLySvR9Z82apVWrVpnbhM6cOaMrV66YCZg8efKoTJkyZtLFOAUpd27rwsMxvvnmG61evVrbt2/X+fPndf36dXNOjBUvxuqa9u3b67nnnouzPQsAUqPv+7fQrR9C9NfVgypwzUd1juSXU5Sj9m+9pHEjt+ul/9WQo5N1vRgAAAAACeMQ9ahCJvfY6rdTnw37VmfPnDdPJ6rpW1VDPxuiXLlzWo3r3KaP/j1+Ul99P1xNnm6Q0NsjgUdaxxT2BQBbM7aQvvP9P7q+OFCOUdbJlnqtiqjX4MrmtkwAAAAAyZiAiXHjxk15eno8cGWHUXh37+4DsStgPDzcE3t7xIMEDICUYPyzMHnUHq1bdDJOX7NOT6rzgPIkYQAAAIDk2oJ0r6xZ469n4uLirGo1oovmAgDSHmOFS/dBlRQSFKGtq/yt+v6Z9a8i3aP0fN+KdosPAAAASIuoqAgAiPuPg5OD+r5XVRVr57Fqv+EVooFHl+q10UuYNQAAACARSMAAAB7I2dlRA4bWVKnK0XW+rvgEaWX5Uwp1jdS487v14YSVzBwAAACQQCRgAADxcnF10qsjasmlvJNWlzutcGdLbN+of7foqxkbmT0AAAAgAUjAAAAeysPTRR9+2FDZLB5W7cYhScP3rdPYxduZQQAAAOARSMAAAB6pYO7MWvVKL2UJtz79zuIYpbc2/6O/Vu1nFgEAAICHIAEDAEiQ4gWza1nfHvIOd7Fqj3SK0kurFmnJ5qPMJAAAABAPEjAAgASrVCKP5j//nNwjnK3aw50s6rZortbtPslsAgAAAA9AAgYAkCh1KhTSX892kGuE9T8hoc6R6jBjpnYePc+MAgAAAPchAQMASLSnaxTXH0+3lXOkg1V7oEu4Wo2fqsOnrjCrAAAAwD2s15AnkMVi0ZlTZ3Xr1m1FREQ+dGzV6hUf5yMAAKlcx4ZldSc4VK9uXGYW441xyyVUTcdM0sZBfVUkb1a7xggAAACkyQTMlcvX9NN3Y7Xyn3UKDQl95HgHBwftOLg6KfEBAFKxPi2q6FZQqD7Yvco8ljrGNZdgNfphgvzeeVF5snvbM0QAAAAgbW1Bunzpqnp07q8lC/9RSHCIoqKiHvkwVsoAANK3Nzr46t2SdeK0X3QJVKNvxiskONwucQEAAABpcgXMbz+PN5MwXl6eeuWNfmr4VF3lzJVdTk5OyRshACDVG9qjkW6NDdVo/x2xbY4WqcBxH40etk2vjfCVswtlxwAAAJBxJfj/hjdt2GpuKfp4xBB17d5eefLmIvkCAIj13UvN9XzOcua1U6SD6h8qpELXMunAtkv6/bPtskTerRMDAAAAZDQJTsDcuH7LTLg0alI3eSMCAKRZf7zeTu0zlVKjg4WU7+bd2i871p3TxG93yWIhCQMAAICMKcEJmGzZs8jN3U3Ozo91cBIAIIOY8nYHdW4YvRLmXhuXndbM0fvNGmEAAABARpPgBExN36oKCgzS6ZP+yRsRACBNM7ardhtUSbWaFIzTt2L2v1ow4ZBd4gIAAADSRAKmb//u8vBw1/ffjEneiAAAaZ6jo4P6vFtVlerktWqPUpSGblyrV35dbLfYAAAAgFSdgClUuIC+/3Wkdu/Yp5d6vaFtW3aZK2IAAHgQZ2dHvfxxDZWuktN8bVGUthQ/r2P5bujPC3v0wfiVTBwAAAAyDIeoBG7Gr1qmUeJv7uCgHQdXP05ceABfX1/z2c/Pj/kBkGaEBEfoy7fXa4plv87muHO3I0oaVq6B3u1az57hAQAAAKlrBYyRp3mcBwAgY3P3cNaLw6opNHOkdYeDNHz/Oo1euN1eoQEAAAApJsFHGo2d+H3yRgIASLfy5cyk1a/0Ur1f/tRNl9DY9ihH6Z2t/yiTh6u6Na1o1xgBAACAVLEFCfbHFiQAad2+fy/qqXETFeASbtXuEumoac900DO1S9otNgAAACBVbEECACCpKjyZRwu6PSePCOsFmOFOFnVfNFdrdp1kkgEAAJAukYABAKSo2uULacazHeUa4WTVHuocqY4zZ2rHkXN8RQAAAJDuPPYWpOvXbujSxSsKDg7Ww+5QtTp7+m2FLUgA0pM56w6q998LFOFksWrPFO6qNf17q0zRXHaLDQAAALBbEd4YM6fN07RJc+R/5tG/oeQYagBAfDo0KKs7wWF6ZcNSWRzvZvJvu4Sp6W+TtPH1F1Q0X1YmEAAAABlvC9KH74zQlyN+1JnTZxN0BLXFYv1bTQAA7tW7eWWNrNpYDvetpLzuEqLGP07QxWsBTBgAAAAyVgJmxfK1WrZ4pTy9PPXV98O1efffZnv2HNm04+BqLV87S0NHDFGBgvmUJWtm89jqXYfXJmfsAIB0YFB7X71fqq50XxLmokugGnzzp27cCbZXaAAAAEDKJ2AWzltmbika8FofNXm6gdzd3e7exNFRuXLnVNsOLTVt7u/KmSuH3nzlQ507e8F2kQIA0q2PujfUq0Wqx2kPDgzXmE+3Kjws0i5xAQAAACmegDly6Jj53KpNM6v2+2v4ent7aciHryswIFATxk2zVZwAgHTu635Pq3uu8rGv897wUqODhfXv9uv6/bPtioxkWysAAAAyQALm1s078vBwV+YsmWLbnJydFBIc8sCTj9zc3bRl0w7bRQoASPd+f62tWmcqoYJXfVT/UEE5W6L/mdq5/rwmfrNLFstjHdwHAAAApJ0EjE8mbzPhcv9ql+DgEAUGBMUZ7+ToqKtXrtkmSgBAhvHX4I76qGR9OUVZ/xO1afkZ/fXLvjgrLwEAAIB0lYDJmSu7mWgJCQmNbStStJD5vHvXPquxJ/87raCgYLm4utgyVgBABmDUFev2eiX5No3+N+Zeq+ae0ILxh+0SFwAAAJAiCZgSJZ80f+sYUwvGUKtONbPt51G/6/Klq2bb9Ws39OnH35gFe8uWK5Wk4AAAGZOjo4P6vFtFlevmjdM3ZfZevTl6mV3iAgAAAJI9AVO7Xg0z2bJm5cbYts7Pt1OmTD46fvQ/tXqqs5rWa69m9Tto764DZn+vF7o+dmAAgIzNyclR/T+qoTJVc8W2XfcK1soKpzTm/E699+cKu8YHAAAAJEsCpuFTdTVs5HuqXK1CbFvWrFn0429fKE/eXObpFNeuXpfFYjGL9X44fLBq1Yl7pCgAAAnl4uqkVz+tpWJls+lypkCtKn9aoS7RR1L/8N9WjZy+nskEAABAmuAQZYNqhpGRkdq356AuXrhsFuutVKW8WaAXtuXr62s++/n5MbUAMpTAO6GqOGKMzrnesWp3sEjf1GiqgW1r2i02AAAAIMUSMEgZJGAAZGQnzl1TvZ/G64ZLiFW7o8VBYxq0Uo9mlewWGwAAAGCzLUgAANhTsfzZ9feLPeQT7mrVbnGM0sC1SzV/A6cjAQAAIPVyfpw3rVu9SZs3btOFc5cUGhqq3yaMiu0LDgrW0SMn5OAgVaxczpaxAgAyuPLFcmthj+fUcvJUBbtExLZHOFnUe+l8zfF01VNVi9k1RgAAACDJW5AuX7qiwa99pEMHjpqvjbcax03vPLQmdkx4eITaNHvOPJZ6wvRfVL5imYTeHo/AFiQAiLZi+wl1mjtToc7RBXljeEQ4a1mP7qpZpgBTBQAAgLS5BSk4OEQDXnhbB/cfUc5c2c0jqI3Tju7n4uKstu1bxjmyGgAAW2lavZjGt2gn50jrf8aCnSPUetI07f/vEpMNAACAtJmAmTV9gU6eOK2SpZ/U3CWT9O7/BsnTy+OBYxs+Vcd83rN7v+0iBQDgHs/WL61fGrQ0i/De645LmJ4eO1n/nb/OfAEAACDtJWBW/r3W3G701pCB8vTyfOjYJ0s8IScnR505ddYWMQIA8EA9n66kL6o1MY+jvpdxUlKjHyfowtXbzBwAAADSVgLm5H9n5OjkqMrVKjxyrLOzs7y9vXX71p2kxgcAwEO99mxN/a9sPem+imaXXYJU/9sJun4riBkEAABA2knAhIWGyd3d3UyuJERoWJhcXV2SEhsAAAnywfMN9HrRGnHazznd1gcjVyo8zLpYLwAAAJBqEzDZsmdRUGCQAgMe/ZvE0yf9FRIcoly5cyQ1PgAAEuTLF5qpZ+67qzSN2jD1DhdU+LYIjR2xXZGR9+1TAgAAAFJjAqZCpbLm85pVGx45dvrkOWa9mMpVH71dCQAAW/nt1TZqm7mknCMd1PBgQRW47mO279pwXhO+2iWL5b59SgAAAEBqS8A827GVebT0mJ/G6+KFy/GOmzZptmZOn29et+/c2jZRAgCQQNPe6qARORspzy1vq/bN/5zR9J/3mv+WAQAAACktYQVdJNWqU10tnmmiZYtXqnun/nq6ZWOFhISZfTOnzdP5cxe1Yd0WnfrvjNnWsWsblS1fKvkiBwDgARwdHfXaIF+ND92pzX9H/5sUY/W8/+Th5aL2L0Sv6gQAAABSikNUIn4VGB4Wrs+Gf6eFc5eZW4zuF3MrY7XMB8PekpOTk22jzeB8fX3NZz8/P3uHAgCpnlHzZczwbeb2o3tFKUplu+fR4Bfq2C02AAAAZDyJSsDE2LfnoObOXKTdO/frypVrskRGKnuObKpctby57ahKtYrJE20GRwIGABLHOP3opw/9dHDH5djky/ZiF/Vv3ht6rXANfdWvGVMKAACA1JuAgX2QgAGAxAsNjtB3Qzbp2MGr8it+Tqdz3Y7uiJI+KlPPPMIaAAAASDVFeAEASIvcPJw16HNfnax4627yxeAgjTi4QT/P32rP8AAAAJBBkIABAKR7nt6u+uPttsoa7m7VHuUovbt9pSb9vcdusQEAACBjSPApSPfau/uAjh09odu37igiIuKhY/u/0vtxYwMAwGaK5c+uf17qocZjJ+qOS/QpfgaLY5ReWbdUmTzc1K5+aWYcAAAA9q8B47dxu0YO/848cjqhdh5a87ix4T7UgAGApNt66KxaTpqiIBfrXyC4RThpdofOalKtGNMMAAAA+62A2bl9r14f8J4iIyLN1wUK5VOOHNlS7KjpwMBAjRo1SrNnz9aJEyfMtmLFiqlDhw5666235OXlleh7njp1SrNmzdLOnTt18OBBXb58WTdu3JC7u7uKFi2qRo0aaeDAgSpRosRD7xMeHq7Ro0dr2rRpOnr0qMLCwlSoUCG1bt1aQ4YMUY4cOR77zw0AsK2aZQpoZsdO6jBnpkKdo/9NMxjXnWfP0lKPbqpVtiDTDgAAAPusgOnf+01t37pbpcqU0BfffaxChQsopfj7+5vJkJjEi4eHh4ywQ0JCYhMxa9asUcGCifsf5nHjxunFF1+Mfe3s7Cxvb2/dunXLvL/BxcVFP/30k/r37//AexhjmzZtqu3bt5uvXV1dzfcYCSNDzpw5tWLFClWsmPSjuVkBAwC2M3/DYfVYNk8RThardp9wV616sZfKF8vNdAMAACDli/Ae3H9EDg4OGvn1/1I0+RIZGak2bdqYyZfcuXNr6dKlZnIjKChIS5YsUa5cucw+Y4zFYv0/0Y9iJG6GDh2qf/75x1z9YqxcMVbAGIkdI2lStWpVc3WLsQpmy5YtD7xHjx49zOSLkbiZPHmyGVtAQIA2b96s4sWL68qVK2rVqpXu3LljoxkBANhCu3qlNbpRKzlaHKzajfowT/8+WSfOXWOiAQAAkPIrYOpVb2U+b9i+RClp/Pjx6tu3r3m9fv161atXz6p/w4YNql+/fuzY3r1tV/TXSMYUKFDATPb069dPv//+u1W/seqmcePG5rWRfOnevbtV//Hjx1W+fHmFhoaaiZ5hw4YlKR5WwACA7f0yf6ve2b7CPBHpXrnCPbXl7X7KmyMT0w4AAICUWwFTqHB+hYWGKTz84ace2dqECRPM5wYNGsRJvhiMtpj2iRMn2vSzs2bNqpIlS5rXZ8+ejTc2o17M888/H6ffWAHTuXNn83rSpEk2jQ0AYBuvtKupj8rVl+77dcRllyDV/3a8rt8KYqoBAACQcgmYtu1bmNtxVq9Yr5QSHBysjRs3mtctW7aMd5yxxSdmNYzxHlsxtg8ZRXVjtivdz9imZGjevLkcHR0fGtvJkyfNFTEAgNTn/efqa9ATNeO0n3W+o05fzFR42N1ivQAAAECyJmA6dm0r3zrV9fnwUdqza79SwuHDh2PrupQrVy7ecTF9Rr2YI0eOJOkzjXtcuHBBc+bM0VNPPWVuPzIK67722mtW465fv26OS2hshgMHDiQpNgBA8vmib1P1zmNdMD3XLU/l3+6l3z7dpsjIxNUZAwAAAB7rGGpjhcf3v47Ut1/8ohe6v65KVcqrXIXS8vTyeOj7+r/y+DVZzp07F3tt1GKJz71958+fV+XKlRP9WXXr1tWmTZvitBcuXNjc2hSzFSmpsSWm1sv9jARO6dKlKegLAMnkq54NdX10oBbe+Vf5rnur7pECcrY4avfGCxr72VY9P6isHB2ti/YCAAAA9/Lx8VGSEjCGndv3aPOmbeYRzcYqmISshElKAubek4M8PT3jHXdv3+3btx/rs7Jnz26esmQUzL1586bZ9sQTT2jUqFGxRX7tFRsAIOWM7d9C2X5do+BNkXKKupts2bHmgtw9nNShfynzVEAAAAAgMRKcgNm7+4AGDfhAERHRRXgLFMyn7DmyysnJSenBggULrBIlRn2XDz/8UG3btlXr1q01ffp0eXl5pUgsfn5+D10ZE182DQBgG7+821YTHHdq0/IzVu0bl55Vpiye6vBi/FtPAQAAgCQlYMb+OtEswluqTAl9OWqoChbKr+R2b6LBqMUSn3v7MmVK+nGhxj06dOhg1oCpUKGCFi1apOHDh+urr76ye2wAgORnbDPq9XYVhQRFaOd66+2jS6cdk8VD6tSdJAwAAACSoQjvoQNHzSXXI7/+X4okXwz58+d/YM2V+917RHS+fPls9vlZsmRRnz59zOvffvstVcUGAEheTk6OevHD6ipXPZdV+03PEPXft1hv//43XwIAAADYPgETER4hT08PFXmikFKKUXA25njn/fvjrzcTc7qQsR2qVKlSNo0hJtFibEu6fPlybHu2bNmUN2/eBMf2qNOSAACpj4urkwZ+UkvFy2c3X1/1DtbK8qcV7BahX05v14ipa+0dIgAAANJbAqZg4QIKCwtXeHh0DZiU4OHhYZ5OZFi6dGm842L66tWrZ77Hlv7777/Ya29vb6u+pk2bms/Lly83CxM/LLYiRYqoePHiNo0NAJD83Nyd9frI2nIu46TV5U4rzCUyusNBGnl4o36cu4UvAwAAAGyXgGnd7mmzBszqFeuVknr3jj5Fad26dQ88JtpoW78+OqZevXol6t4xBYXjc/HiRY0fP968rlGjRpzTjmJiO3nypFmk934nTpzQzJkzHys2AEDq4entovc/rK9MUa5W7cYhSe/vXKUJy3fbLTYAAACkswRMl27PyrdOdX0+fFSCjp+2lZ49e6pSpUrmdceOHWNXmxgP49poMxhjevToYfXetWvXmnVrjMeECRPi3Lty5cr6/PPPzS1E9yZjbty4oSlTppinDhnbjoz3jxgxIs77GzVqZJ6QZHj55Zc1bdo0RUZG/2Z0y5YtatmypUJCQsxtTIMHD7bxzAAAUlKRfFm1on9PZQq3TsJYHKP02vplmrPuIF8QAAAAxMshKr69M/f57ZcJZnJhxtR5CrgTqIpVyql8hTLy9Hr4lp/+r0SvEkkKf39/M9lhrCgxxGwzCg4ONp+LFSumNWvWqGDBgnESMMb7DMZKlpgVK/cW2b1165Z57ezsbJ5SZPwZY9piTjsaM2aMnn/++QfGZow1tiJt377dfO3q6mo+AgICzNc5c+Y0j7SuWLFikuch5hjq+I6pBgAkvx2Hz+npiVMU5BJu1e4a4aTZz3ZS0xpP8mUAAADA4ydgqpRuaK4EMcS8Jeb1w+w8tEa2EBgYqO+++05z5syJTcQ88cQT5nHRxuoSLy+vOO95VALGSIysWrXK3MZ05swZXblyxUzAGAV2y5QpYyZWjFOQcufO/dDYjK1Zv/76q7kC5ujRowoLC1OhQoXM1TFDhgwxkzC2QAIGAFKHNbtO6tlZfynU+f/rwfw/j3BnLen+vHzLpVzBegAAAKSzBEy/HoOUgHxLHL9P+uExwsKDkIABgNRj0aYj6rZkrsKdLFbtPuGuWtmvpyo8mcdusQEAACANJ2BgfyRgACB1mbZir15au1iRjtb/lGYNd9f6V/royYLRx1cDAAAACS7CCwAArD3ftKK+rtlMDtaLYHTDJUSNf5moc1duM2UAAAAwkYABACAJBrSpro/LN5DDfetJr7gEqcF343X1VhDzCwAAABIwAAAk1Xtd6+mNYjXjtJ9zvqNGX45XWGgEkwwAAJDBsQIGAAAbGNmnqfrmrWTVZmxNynXcU799ul0REfftUwIAAECGQgIGAAAb+WXgM+qYtXT0P7AWB9U/XFBFrmbWnk0XNP7LnbJYqHsPAACQUTnbOwAAANKTiW88q5CvIhS8JUy5b3nFtm9Z6S93T2d1f6OSHBwc7BojAAAAUh4rYAAAsOU/rI6OmvluZ3WoXSZO39qFJzXn94PMNwAAQAZEAgYAABszVrj0GlxF1Rrkj9O3bPoxLZl6lDkHAADIYEjAAACQHP/AOjnoxQ+rq3zN3FbtUYrS/1au0ltjlzHvAAAAGQgJGAAAkomzi6MGDKup4hWym68titK2Jy/oSIHrGu2/U8Mnr2HuAQAAMggSMAAAJCM3d2cNGllbBUpk0uaS53Qiz83Yvi+PbtKo2ZuZfwAAgAwg0acg7di6W8uXrNKxoyd0+9YdRUREPHQP/KIV05MaIwAAaZqHl4teGF5Nf3y/16o9ykH63+41yuTpphdaVrVbfAAAAEhFCZioqCgN++ALLV7wT+zrR+GYTQAAohXKk0UrXu6phmPG67ZLWOy0WByj9MbG5crs6a6ODcsyXQAAABk9ATN98hwtmv+3eV26bAk1aFxHOXPlkJOTU3LGBwBAulG6SE4t6d1NzSdMUaBLeGx7hFOUXvh7gXw8XfV0jeJ2jREAAAB2TsAsnLfMXNHybMdW+t8nbydTOAAApG/VSuXXnC6d1XbmXwp1joxtD3O2qOu8OVrs/rzqVChk1xgBAABgxyK8p0+dNZ9fH9w/GcIAACDjaFC5qKa2bi+XSOt/hkOcI9Ru2nTtOXbRbrEBAADAzgkYN1dX+fh4K1Nmn2QKBQCAjKNV7ZIa0/gZOVkcrNoDXMLV4s/JOu5/zW6xAQAAwI4JmCdLPKHAwEAFBgQlQxgAAGQ8zzepoG9rNZPjfUmYmy6heuqXifK/dMtusQEAAMBOCZgu3Z5VZKRF8+cssXEIAABkXP1bV9fQCg3kcN/hgldcgtRo1HhdvhFgr9AAAABgjwRM0+YN1fn5dvrx27FaOHeZLWMAACBDG9Klrt58slac9nMuAWr49QTdCQq1S1wAAACwHYeoqKj7fucmDfvgi3jfsHbVJt25E6BceXKqbLlS8vb2fMjdHTTss3dtFmxG5+vraz77+fnZOxQAQDJ4dfQS/XF+t1Vb9tsees27mgYPrydn5wT/3gQAAABpIQFTpXRD88jp+7se1PbAm/7/OON556E1to04AyMBAwDpX49RczT7+mHzOvdNT9U/VEguFkfVfKqg+r1fTY5O1vViAAAAkDY4P6jxmbZPG4tXAABACps46Fnd/jJUB/0vq+6RAnKKil71snWVv9w9nNTjrcrmLzgAAACQDlbAIHViBQwAZAwWi0Xjv92lzUvPxOlr3qW4OvYvRxIGAAAgjWEzOQAAqYyjo6P6vFVV1RsViNO3fMZxLZl61C5xAQAA4PGRgAEAIBUyar0YNV/K18wdp2/i1N167/cVdokLAAAAyZyAOX/2gr75/GdNnTjrkWMn/TnDHHvxwuXHDAsAADi7OGrg8FoqWTFH7GTc8ArRygqn9MOZrRo6aTWTBAAAkN4SMEsWrdD0yXPMfemPEhwUbI5duojfzgEAkBSubk567TNfFS2VVVd8grSy/CmFuEaafV8f26zvZm1iggEAANJTAmbjui3mc6Mm9R45tkXrJuYx1BvX+SUtOgAAIA8vFw363FcHSl1VuPPdX4REOUgf7VmrcUt2MksAAADpJQFz4fwlubm7qUDBfI8cW6hwAXPs+XMXkxofAACQ5JPFXcte7abM4W5W82FxjNIbm5Zr5poDzBMAAEB6SMDcvHFLbq6uCb6xu5ubbly/9bhxAQCA+5QslFNL+nSTV7iLVXukU5T6rVioZVuOM2cAAABpPQHjk8lbAQEBCg4OSVANmDt3AuTp6ZHU+AAAwD2qlsynuV27yD3CyWpewp0sen7BbG3cd5r5AgAASMsJmCdLPCGLJUprV2545Ng1qzaaxXqLPlk4qfEBAID71K9URFPbdJBLpPU/4yHOkWo37S/tPnaeOQMAAEirCZiGjeuYhXW//+Y3sx5MfIy6L99/PUYODg5qnICCvQAAIPFa+pbQ701ayynSwao90CVcLf6cqqNnrjCtAAAAaTEB077zM8qXP4+uXrmm59u/qAnjpunEv6fMLUnGw7j+c+xUdevwkjkmd55c6ti1bfJGDwBABtalcXmNqv20HC3WSZhbLqFq8usk+V+iFhsAAEBq4RBlLGtJoONHT2jAC2/r+rUb5gqXBzFuly17Vv36xzcqUbKYLWPN8Hx9fc058PPjeG8AwF3fzNykj/etMY+lvle+cG/5vdtPubJ6M10AAABpZQWMoXjJYpo253e1atNMzs7OZrLl3ofR1rrd0+YYki8AAKSMtzvX0eDiteO0n3cJUIOvxutWwKML6AMAACAVrYC5V0hIqA7uP6JrV6+Zq2Gy58imMuVKyd3dzfZRwsQKGADAw7w+Zql+P7fLqs0hSupjqagfPmklZ+dE/d4FAAAAqSEBg5RHAgYA8Ci9Rs3VzOuHzGtHi1T7aAEVupZJNRoX0IsfVJej04O3EAMAACB5JfhXYcM++ELffP5zgm/8/dejNezDLx83LgAA8BjGD2qn5l7FzNOR6h8qZCZfDNtWn9XkUbvNLcMAAABIxQmYhfOW6++lqxN84xXL12rRvOWPGxcAAHgMjo6OmjOkiz7KXE/5bloX312/5JRmjjlAEgYAAMAO2AwOAEA6TMK883Y9VW9UIE7fPzOPa/HkI3aJCwAAICNLtgTMrZu35UZBXgAA7MKo9dLvg2qq6JsnTt+88Yf008QtdokLAAAgo0qWBMyyxSsVFBSsfPnj/k8fAABIGcapRy8PralSlXPGtkUpSjufuKQh/67URxNX8aUAAABIIc7xdUybNNt83OvmjZt6pknXeG9mFPa7cydAgQFB5tHU9Rr62jZaAACQKK5uTnp1RC19O3ijThy5rm3Fz+u/3LfMvm+P+ynzTHe93bkOswoAAGCvBMyd2wE6f+6iVVtkpCVOW3x861TXiy/3SHqEAAAgSTw8XfTGl3XU6uPJ+s8nOvliiHKQhu5dq0yebnrpmWrMMgAAgD0SMA2b1FXemC1EUVHmkdLePl56+/3X4r2Zo6ODvH289WTxoipQMF+yBAwAABLPO5Orxr7VRg1/naCbLqGx7RbHKL21+W8zCdO1cXmmFgAAIJk4RBn7hhKgSumGyp4jm1ZsmJtcseARfH2jt3T5+fkxVwCAx7Ln2AU1/XOSAlzCrdpdIh31V+uOaulbgpkFAACwZxHeXYfXknwBACCNq1Qir+Y//5zcI6wXwYY7WdRt4Ryt33PKbrEBAACkZ8l2DDUAAEid6lQopOntOsg1wvp/A0KcI9X+rxnadfS83WIDAABQRt+CdD/jbbdv3VFwcIh5HZ+8+XInJT7cgy1IAABbmrXmoPqumK8IJ+t/xzOHu2ntgN4qVfju8dUAAABIpiK88dmwboumT5qtvbsPKCTkbhG/BzGOot5xcHVS4gMAAMmkU6Oyuh0Uotc3LzeL8ca45RKqJqMnafMbL6hQnizMPwAAQEpvQfrpu7F6Y8D72rJ5R+zKl4c9LBaLLWIEAADJ5IVWVfVp5UZyuG8x6zWXYDX8foIuXw9g7gEAAFIyAbPVb6fG/z5NTk5OeuOdAZq9eILZnjVbFi38Z5r+nPqTXhzQU5ky+ShL1sz68bcvtHjlX7aIEQAAJKO3OtbWOyVqx2m/4BKg+l+P162AEOYfAAAgpRIws6YvMLcUvdC/u3r27aInihWJvoGjowoUzKdKVcprwOt9NX3eOHl4uGv4h1/J3cM9qfEBAIAUMLxnY71csGqc9tPOt9Rx5AxFhLOqFQAAIEUSMAf2HTKf23dufV9PVJyiu+/+b5CuXb2uCb9PS1JwAAAg5Yx6qYWey1HWqi3nLQ/l2eapcSO3yxL5WHX7AQAAkJgEzI3rt+Tq5qqcubLHtjk5OSokJCzO2Dr1a8rFxUUb1voxyQAApCHjXmurVt5Pmtd5bnip0cHCco100va15zRp1O6HnnwIAAAAGyRgPD095O7mZtXm5eWloMCgOKchGXVijGTNpUtXEnp7AACQChhbi2e+01k9PMurwaGCcrbc/V+FDUtOacav+0nCAAAAJGcCxlj5EhAQoPDwiNi2AoXymc8H9h22GnvxwmUFBgTKQbYTGBioESNGqFKlSvLx8TEfxvWnn35q9j0O488zc+ZMvfjii6pcubIyZ85srtzJlSuXnnrqKf36668KCXl44UGjLs6jHnXr1n3MPzUAAPZJwowZ0ka1GxeO07di9r9aOOkIXxYAAIBEck7owKJPFtGJf0/p+NETKlOupNlWvWZlHTpwVGN/maByFb6Uu7ubwsLC9PXIH83+EqWilzAnlb+/vxo1aqQTJ06Yrz08PMzfvu3du9d8TJw4UWvWrFHBggUTdV8j6fLvv//GvjaSL8aqnitXrmj16tXm44cfftDSpUtVrFixh94ra9ascnV1fWBf9ux3t20BAJAWODo5qO97VRUSHK69my9a9S2ccFgO7lKbLqXtFh8AAEC6XQFTq3Y1M+lxb12XTs+1k5ubq3Zu36vmDTqqV9eBerpBR61dtclc+dGl27NJDjAyMlJt2rQxky+5c+c2kyHGipegoCAtWbLEXK1i9BljLJbEndAQHh6uUqVK6csvv9T+/fsVGhqqmzdv6tq1axo5cqSZ6Dl27Jhatmxp9j3M3LlzdfHixQc+FixYkMRZAAAg5Tk7O2rA0JoqVTmnVfstj1D12blAH05YyZcFAADA1gmYJs3qq/8rvZUzd47Ytnz582jktx/Ly9tTt2/f0f69h3Tr5m0z+dK3f3c1b/WUkmrSpEnas2ePeT1r1iy1aNEidmuPkRiZPXu22WeMMcYmxoQJE3To0CENGTJE5cqVM+9pyJYtm95//32NGzfOfG0kYWI+BwCAjMTF1UmvfearJ0pnNV9f9wrWygqnFOQWoVH/btFXMzbaO0QAAIA0wSHKBscZGEmXjeu3mLVffDJ5y7dOdRUslN8mATZo0EDr1683n9euXfvAMfXr19eGDRvUsGFDcyuSrRirb4ytRXfu3NGgQYP0/fffxxkTk7QxPtf4/OTk6+trPvv5cboUACBlBdwO05tDlmhG1sMKd7674tTR4qDvajVT/9bV+ZIAAADYogbMw2TOkkmt2jSTrQUHB2vjxujfrBmrXeLTqlUrMwFjPIz3GFuHbME4zcmoC2OIiLhbfBgAgIzGO5OrhnxYX4t/+Vc3dXdbrsUxSoO3/CMfDzc936SCXWMEAABIF1uQ7OHw4cOxdV2MLULxiekzVqwcOWK7kxmMbU3Xr183rytWrPjQsW+99ZZZo8YoxJsjRw5zxc63336r27dv2yweAADsqXjB7FrWt4e8w6N/OREj0jFKL69erMWbj9otNgAAgHS5Bck4inrL5h06dOCIrl+7YbZly55VZcqVUi3fqnJxtf4fs8e1aNEis7iuwTjtqEKFB/9mzegzjqQ2LF682FwRYwvNmjXTihUrzJowRqHfLFmyxLsFyWCsvDESMLdu3YptK1CggFk/pmbNmoneanS/AwcOqHTp0lq1alWi/ywAANjK1kPn1XnePAW7WK8OdYtw0l+t26pO+cSdSggAAJCe+Pj42GYL0qy/FmjMT+N188bdJMP925FefrW3Oj+f9BOQjNorMTw9PeMdd2+frVacjBgxwky+GIyVLA9Kvhh69uypTp06qXbt2maixnD58mWzIPCwYcN09uxZs3Dwrl27VKRIEZvEBgCAPdUsk0/jQ1qp5/LFCnOOjG0PdY5Ut4ULNc+9gyoXz2PXGAEAANL0CpiRw7/TnBmLzOOoDdlzZFWu3NFHU16+dFXXrl6PXRXybMdW+t8nbycpuGnTpqlbt27m9fHjx/Xkk08+cJzRV6JEidj3PPfcc0n6XCN50rt3b/PP+eKLL2rs2LGPdR+jWK5RINioH9OrVy/z1KWkoAgvACA1mb32oPr8s0ARTneL8hoyhbtqTf/eKlM0l91iAwAASLM1YFYsX6PZfy00kxJNmzfU7MUTtGLDPE2dPdZ8rNgwV3OWTFSzFo3MMfNmLzHfY6tlO0FBQfGOu7cvU6ZMSfrMqVOnqm/fvuafoWvXrho9enSSEiZdunQxr+fPnx+buAIAID3o2LCsfqzX3DwJ6V63XcLU9LdJOnUhepsyAAAAEpGAmTF1vrmypX2nZ/TlqGF6oljc7TRFnyisL74bao4xkg3Ge5Iif/67R1mfO3cu3nHGNp8Y+fLlS9LKF2NLkVHM10i+TJkyxTwJyRarVoy6MNeuXUvSvQAASG36tKiikVUby+G+3zFcdwlRox8m6OK1AHuFBgAAkDYTMEeP/Gs+Dxz0wiPHDni9r5msiXnP4zIKzjo6Roe4f//+eMcZxWkNRrKkVKlSj/VZf/zxh/r06WOeumRsYbJF8gUAgIxgUHtfvVuqbpz2iy6BavDNn7pxJ9gucQEAAKTJBEyUxSIfH2/ztKNHyZ4jmznWeE9SGKcK1a0b/T90S5cujXdcTF+9evXM9ySWUePFqPViJF+MmjOTJ0+2WfLFqAMTszUqe/bsNrknAACpzdDuDTWgYLU47Wecb6vRF+MVHna3WC8AAEBGlOAETP6C+RQYFKTQ0NBHjjXGGGMLFr67hehxGcVwDevWrdOmTZvi9Btt69evN6+NQreJZdR4efnll80tU8b7jW1ICU2+PKqmy9atWzVjxgzz2jhO+94jqwEASG++e6m5uuUsb9VmbE3Kdtxd40bukCWSWmgAACDjSnACplXrpoqMiNTCecsfOdYYY4xt8UzTpMZn1mSpVKmSed2xY0ctX77cTHwYD+PaaDMYY3r06GH13rVr15pJD+PxoBOIfv31V73yyivmvV544QX9+eefsVueEsI4fnrIkCHavHmzgoPvLq++cuWKRo0apSZNmpgnIBmrX4wjqQEASO/Gvd5Wz/gUN6+N4rx1DxdQ0StZtGPdOU38dpcsFpIwAAAgY0rwMdRGImFA38Hav/eQ3v3oDfOY6QeZP2eJvvjke1WoVFaj//zWJlt5/P391ahRI504ccJ8HbPNKCbpUaxYMa1Zs0YFCxaMk4Ax3mcYP3587GqaGEayJeaPnytXroeuUKldu7bmzp1r1dawYUNzZU7MvWJOYLp582bsmAIFCpirYIz3JxXHUAMA0gJjS2+7z6crYkek8t70tupr2vFJdRlYnlWhAAAgw3F+UONvv8RdLWKoWLmcjh09oREff6Oxv05U9RqVlSt3DrPv8qWr2rFtjy5dvGzWfzHGjhszWf1fsU56PA4jsbJ371599913mjNnTmwipkKFCurQoYMGDx4sLy+vRN/33tzT5cuXHzr2+vXrcdo++OADVa5c2dxqZCSJjDFGoipPnjwqX768ue3I2NZ073HaAACkd8YvJea//7z++HyHtqz0t+pbMftfeXg5q23vMnaLDwAAINWsgKlSuuFDfzMV85b7xzyofeehNbaMN0NjBQwAIC2JiLBo9LCt2rPpQpy+zgPK6+nO0VuVAAAAMuwKmCrVKop6sQAAIEn/k+HsqJc/rqEf3t+sw7uuxLZHKUofLF2ptYGn9HmfpNeLAwAASFc1YGB/rIABAKRFIcER+vbtjfrv0HUz+bKj2EUdz3vDyMRoaLkGeq9rPXuHCAAAkOwSfuQPAADAY3D3cNYbX9RW3id85FfifHTyxeAgfbJ/nUYv2Ma8AgCAdI8EDAAASHZePq7q+0lV3cwaYtUe5Si9s22Fpq7Yy1cBAID/a+8+wJyougaOn90k2yu9FwGlWkFFRATFhmJBsYsNLLTX8qJiwYIIKviJitioiu1FmiiKAoII2BWQIs2GUnbZmm3J5nvOzSZuy/Zsyf5/zzPPZmcys5O5mZ3MyT3nIqARgAEAANXiqJYN5JNbr5eoHFuB+c5gl9yxerksW7+dlgAAAAGLAAwAAKg2x3ZsJkuuvVrCHQXHAcix5Mr1Hy6SVd/voTUAAEBAIgADAACq1Wk92sg7l10uIQ5LgflZVqdc8d578s0vf9IiAAAg4BCAAQAA1e6cXh1l1vkXi9VZ8KOI3eaQC+ctkC17DtAqAAAgoBCAAQAANWLIGV3lhTPOl+DcoALzU2zZcu6r82Xv/rzRkgAAAAIAARgAAFBjbjzvBJl00gAJchWcn2jLlP7T58g/CWk1tWsAAABVigAMAACoUWMv6y0PdD5dpFAQ5oAtXfo9O0uOpGbU1K4BAABUGQIwAACgxj183Zkyql2vIvN/t6ZIv8mzJM2eVSP7BQAAUFUIwAAAgFrhmVvPleua9CgyPyE9Q2ZO/lqcztwa2S8AAICqQAAGAADUGq+Nvlguijna+3uT5Ag5a0tb2bbukMx99nvJzS2UpwQAAFBHEIABAAC1yjv3XC79w9pKi8QoOXNrG7E5LWb++hW/yzsv/SwuF0EYAABQ9xCAAQAAtUpwcLAsve9aGdfiNLHmFvyo8vkHu2XJ7G01tm8AAAAVRQAGAADUOlZrsNx6f0854fTmRZYtm79dVry7s0b2CwAAoKIIwAAAgFrJYgmW2x4+Wbqe1KTIsllzvpdHZ6+qkf0CAACoCAIwAACg1rKFWGTUE6dKh24NvPOSIjLlsx77ZMrur2TSgrU1un8AAABlRQAGAADUaqHhVvnP5NOkdYdYORyVIZ/1+E0yQh0iQSITt66VGUs21fQuAgAAlIoADAAAqPUiokLkrqdPk5+6HJRsm9M73xUsMu7rz+TNT3+q0f0DAAAoDQEYAABQJ8Q2CJdlt10j0TkhBeY7g11yx5rlsngdoyMBAIDaiwAMAACoM3p0aCpLr79awnOsBeY7LLly40eLZdV3e2ps3wAAAEpCAAYAANQpp3ZrLe9ffoWEOiwF5mdZnXLF++/Jpl/+rLF9AwAA8IUADAAAqHPO6tlB5px/iVidBT/K2G0OuWjeAtmy50CN7RsAAEBxCMAAAIA66ZIzusiMMy+Q4NygAvNTbdlyzqvzZfdfCTW2bwAAAIURgAEAAHXW9eccL5N7ni1BuQXnH7FlyoAX5srfh1NqatcAAAAKIAADAADqtNGXniIPdesr4io4/6DNLmdMnS2Jyfaa2jUAAAAvAjAAAKDOG39NPxnT/uQi8/+0psoZU2ZLmj2rRvYLAADAgwAMAAAICFNuOUeGNT22yPzdwUdk/FOfidNZKE8JAACgGhGAAQAAAWPmqMFySewx3t+DXCKn7Wgp6V9myZynv5fc3EJ5SgAAANWEAAwAAAgob909RM4Kb29GR+q7rbW0Oxxr5n/16e/y9os/ictFEAYAAFQ/AjAAACCgBAcHy+JxV8sDkadJq8ToAstWLdoji2b9UmP7BgAA6i8CMAAAIOBYrcHywH395MS+LYosW/7mDlnxzs4a2S8AAFB/EYABAAAByWIJlhEP9ZJuPZsUWfbeK5vltbe/rZH9AgAA9RMBGAAAELBsIRYZ+fip0rF7Q+88l7jkh3YHZMzWFTLxrS9qdP8AAED9QQAGAAAEtNBwq4x9qre07hgrueKSrzv+LdtbJYoEiUzatk5eWLSxpncRAADUAwRgAABAwIuICpG7n+4ju3skye5mSd75riCR+7/9XOas+KFG9w8AAAQ+AjAAAKBeiIkPkxn/uVCic0IKzM8NdsnotR/LB2sZHQkAAPgPARgAAFBvdD+qqSy74RqJyLEWmO+w5MpNHy+Rld/srrF9AwAAgY0ADAAAqFdO6dpK3h86VEIdlgLzs61OuXLh+7Jx6x81tm8AACBwEYABAAD1zoATj5J5F14iVmfBj0IZNocMnv+2/LzrnxrbNwAAEJgIwAAAgHppcJ8u8nL/QWLJDSowP9WWLee9/qbs+iOhxvYNAAAEHgIwAACg3rpu4HHy9MlnS1BuwflHbJly1ktz5a9DKTW1awAAIMAQgAEAAPXanRefIo907yfiKjj/oM0uZ06bLYeT7TW1awAAIIAQgAEAAPXe/Vf3lbFHnVLkOPxpTZV+U2ZJqj2r3h8jAABQOQRgAAAARGTyzQPlxmbHFTkWeyxJcvlT74rTWShPCQAAoBwIwAAAAOR5eeRFcllc5wLHo2FKuDTeGC6zp3wvubmF8pQAAADKiAAMAABAPvPvukzODm9vHjdNipABW9tIqMMiG1b+Lgum/yQuF0EYAABQfgRgAAAA8n84Cg6WReOulqEhXeTMrW3E5rR4l61eskc+eH0rxwsAAJQbARgAAIBCrNZgmTX+Ujm5b6six+ajBTvlo7d3cMwAAEC5EIABAAAohsUSLMMf7CXdezUpsmzhq1tlxaKdHDcAAFBmBGAAAAB8sIVY5M7HT5VOPRoWmJ8SliXXfbVIHn9zDccOAACUCQEYAACAEoSGWWXMpNOkbac48/uRiEz57Nh9kh6WI5O3fynPf7CB4wcAAEpFAAYAAKAUEVE2uevpPhLUMcgEXzJDnGa+K0hk/HerZM6KHziGAACgRARgAAAAyiA6LlTuHt9Hwl3WAvNzg10yeu3H8r8vGB0JAAD4RgAGAACgjLq2byLLh10rETm2AvMdlly5ZcVS+fTrXRxLAABQLAIwAAAA5dCzS0v539ChEuqwFJifbXXKVYv+J19t/p3jCQAAiiAAAwAAUE79T2wv8y+8VGzOgh+lMqwOufitt+XnXf9wTAEAQN0MwKSnp8vEiRPl+OOPl+joaDPp4yeeeMIsq4i0tDR57733ZPjw4XLCCSdIbGys2Gw2adKkiZx11lkyY8YMyczMLHU7LpdL5s2bJ/3795dGjRpJWFiYdOjQQUaOHCn79u2r0L4BAIDa7aI+nWVm/0FiyQ0qMD/NliPnvj5fdv2RUGP7BgAAap8gl0YPark//vjDBDd2795tfg8PDzdBD09wRIMdq1evltatW5dru506dZJdu/7N1dbgS0REhCQnJ3vnHX300fLRRx+Zv1Gc7Oxsueyyy2T58uXmd6vVavYvNTXV/B4VFSULFy6Uc845Ryqrd+/e5ueGDQx3CQBAbfHy0m/knk2fiKvQ11qNcyJkwz23SsvGMTW1awAAoBap9T1gnE6nDB482ARfmjZtaoIh2uPFbreboIf2VtFl+pzc3NxybTsnJ0c6d+4sU6ZMkc2bN0tWVpYkJSVJQkKCTJo0yQRSdu7cKRdccIFZVpx7773X7IcGXp577jkTeElJSZEtW7bIySefbHrZDBkyRH7/nXxwAAAC0R2De8mEHv0kqNBXWodsduk3bbYcTrbX1K4BAIBapNb3gJk9e7bcfPPN5vHatWulb9++BZavW7dOzjjjDO9zb7zxxjJve82aNdKvXz8JCirYddhjwYIFcu2115rHb775pvexx6+//ipdunQxQSJNhXrooYcKLNdATteuXeXgwYMybNgwmTNnjlQGPWAAAKi9xs/+TJ7bs7HI/KOccbLxoeESHRFaI/sFAABqh1rfA8YTtNBASeHgi9J5nvlz584t17bPPPNMn8EXdeWVV5paM+qbb74pslyDMhp8iYyMlLFjxxZZ3rBhQ7ntttvM4/fff9/02gEAAIFp0k1ny83Njy8yf48lSfpPmiM5Oc4a2S8AAFA71OoATEZGhnz55ZfmsaYB+TJo0CBvbxhdp6pYLBZTF0Y5HI4iy1euXGl+ag8cT6DG175p8GX9+vVVtm8AAKD2eenOC2VIfOcC8zQ1KWqXVeY8/b3k5tbqjscAAKC+BmC2bdvmrevSvXt3n8/zLNPeKNu3b6+yv//jjz9KYmKieXzccccVWb5169Yy75vSujAAACCwzfvPZXJOxFHmcXCuSJ/traTDgXjZ+Nkf8tbzP5qBBAAAQP1TqwMwf/31l/dxq1atfD4v/7L9+/dX2d8fN26c+dmgQQO54oorCizzFNstbd80PSkuLq7K9w0AANROwcHBsui+q6SfrY2csa21tEn4dxSkNUv3ysLX3F/gAACA+sUqtZhnKGelw0P7kn+ZJyhSWRMnTvSmGE2dOtUbRCnvvnmW6+hKZd03T7HdwrQHjRb9zf+3AQBA7fTumEtk3rOb5cf1BwrM//jtnRJszZWBV7SvsX0DAAD+46tESa3uAVNT5s2bJ4888oh5PHz48HKNrAQAAKCCLUFy3d3dpctJDYsckOXzd8m65X9woAAAqEesdSVqVNIIQvmXxcT82823It566y0z7LXmZ1911VXy8ssvV2rf8i8v675t2LChxJ4xvqJpAACg9hk9sY88d996+fXnBO88l7jkkY+/kI5/NpROjRtJt1aNZWj/biZ9CQAABKZafZVv2bJlsfVgCvvzzz+9j1u0aFGpni833HCDKearwRcdZlpHQiqOBkE8AZWS9i09Pd2kH1V23wAAQN0UGmaVsZNOk7ZHx3mDL5s67petbRJkSfJOeXbXV3LTmiXSfvz/yY87/6np3QUAAPWxB4zWO9FvgnQkpM2bN8v5559f7PM8owtpsKRz54JDP5bVG2+8ISNGjDB/6+qrr5b58+f7DL54dOvWzfRW0X3zJf/IRyWNlgQAAAJXeKRN7nq6j0we+4UsCtkhe5smF3nOQZtdzpgzS7pYGkm0LVSiQ0IkOjRUYsNCJTY8TOIjw6RBVLi0iIuW41o2k7BIq9luSKhFgoKCauR1AQCAAAnAhIeHy+mnny5r166Vjz76yDsqUWG6TPXt29esU16vvvqq3H777Sbt6Nprr5W5c+eWGnxRAwcONAGYdevWSVpamkRFRfncNy3E26dPn3LvGwAACAzRsaFy0+MnycwZ3/t8To4lV36WgyI5+ot2pS36nMbJ4TJw878FfC2WIAmLtEl4hFWCo4Lkg0Y7JCLYJpHWEImy2SQ6JFRiNJAT7g7kaBAnPipcGkZHSKOYcGkcHylN4qMkIszmr5cOAABqewBGaQFcDcB88cUXsn79+iJBDJ2ny9WwYcPKvX2t8TJy5EgTfNH1Z82aVeb86+uuu06efPJJE3yZPn26jB8/vsDyxMREeeWVV8xjHca6tNGSAABAYOvYpqFc3rKrzDv4c4W3YXMW/JLI6XRJekq2mdJCs+X3ZnmjLuaKSFbeVIYBFC25QRKSa5E+Sa2kV24L07smXHvZROhPm+lxc8iSLrsdSaY3TnykO4jTMCZcGsVGSJP4SGkUEylWW63OcAcAoMbU+gCM1mTR4MaPP/4ol19+ucyePVvOPfdcs+yTTz6Rm266yTw+/vjj5frrry+w7po1a6R///7msa5XeDSjGTNmyKhRo0zw5ZZbbjE9YcpT/K5Tp05y5513ygsvvCCPPvqo6QFz2223SWhoqPzyyy9mmwcOHDDzH3/88So4GgAAoK7r37V9JQMwwSX2oKkoZ7BLMoIdknIkS3474K5fV9j2Fgny/VEHSt0/DeSEiVXCgqwSoZP2xrHaJCokRIY26SaNoiPyAjz5gjxRNskMdkhsdKjERYdRkBgAEHBqfQBGU4GWLl1qAim7d+82dWA8aUYZGRnmZ4cOHcxzypI2lJ8n+KKWLVtWYpHc0047TT744IMi85999lnZs2ePLF++XMaOHSv33HOP6emSkuL+9ikyMlIWLlwobdq0Kde+AQCAwKSjHd23cqWp+VKY1Rkksbmhki25khXklByLU1yFyrvYHCUEYKzOSu9fSQGe7DJsX4NAOqWbHKo8+nErL60q8m2rhDmK/wi6ssc+ORRrlyCXSIjTIiEudyAnXIM4wTaJsNok2qapVaESExYiMWFhEh8RJnF59XFaxkdLtxZNJUJ77ERYxRZSvs+GAADU6wCMat26tfz0008ybdo0E8zQQIw69thjZciQISbooYGO8vIEX9TBgwdLfK6mExUnJCTEBG90BCXtZaMFeXXko/bt28t5551n6ta0a9eu3PsGAAACk/a2XXLzNXLxrAUFgjBNciLM/OOPbuadp4MDJKZmysHENDmcbJeElAwJcQZLk6BIyUx3iD09RzLtOZKR7pCM9Bz5NS1B9jlSxJ6bI5nikCxxSlawUxzl6Bljc1j80sPGVwpVwe27AzwadMqyOs3+p0r2v0/In1aVVnp9HE2H8vSyCYoMksUNd+bVx3H3xtH6OLF59XHiIsJNapWmVDUw9XG0Nk6ENI6LFJuNQA4AoPKCXPmjEKjVevfubX5q4V8AAFC3aXDlvdVbZeufh6Rbq8amZ0x5UqHLIzvHIYeT7HLwiF0Op6RLQopdElMz5Eh6piTZMyQ5I0uSM7MkNSdL+uS2lujMEBPQ0SBPRr4Az/q2f8ruZsWnJ5WFxRkkV27o4nP5kp6/SnpYvp4z5dQiMUrO/KX4XsdaH2dpr10V2q7VGSyhuRY5PaW19JLm7qLHeYWPPQGeg5Z02etINrVxNJCjaVYNPPVxGkRJA9KqAKDeqxM9YAAAAAKNBluuOqtHtfytEJtVWjSOMVNlpNmz5JAGcpLSJUF75KTaJTEtQ46kZUhSRpakZGZKSma2pGZnSZojW9IdOZKRmyMZLofpkRPsDJKgYBFXrn962JScnlXxbWsPIp2OJGbIngNHin3OthYJ8kMJ9XE0rUp7/4S68tXHCXbXx4nWGjlaH6eZpz6O1QR5PKlUWh/HYXFKbEyYREWEVvh1AABqFgEYAAAAlIne/OvUvkV8hY+Ydr7OznTmpU85JCMtx9vLpsXeWDmiPXKysiQ1M0vScrIlzZEjdke22HPdQRydsoO1Pk5uhdKbKiOkpPSsUurjaFqV1tDJLi6tSn/NFgl/0yKhPv7Gyh575VBshgTnjVYVmq8+TqRF6+OEmPo40SFaG8c95HhchI5WFWZSqlrERUvXFo3dI1pFWMViYbQqAKhuBGAAAABQbYKCgiQ03Gqmwnr2a1nm7eTkOE0q1cEj6aY+zuEUu4Q7rdIkONIEdTS4Y4I8eelTO+0JstuZbHrkmPo4QU4TyNHRn8qTiuTf+jil9+DJDXaZ0aL0NSSbYjh5nHlTpojkjUSeX+PkCBm4+d+6hCFhFm8aVVBUkCyO25kXyLFJTEio6ZETGxYmsRGhEu+tjxMhDaPDTV2cRnE6BHkEgRwAKAcCMAAAAKhztDBus4bRZiqrKXJukXnpGdlyKCldDmkgJyXDpFVpSpWmViVnZJr6OCnaIyc7S/qc0EaiM0LcPXbSHO4CyHm9eCqT4uSpjxNceMirqkzPKhTc0V5IOiUnuOvj7O6Vl1rlyJuKDtJVlBmtKtiMVtU3tY30Cmpu0qXCIjR9yp1GpUGeg0Hp8nuu1scJk/iocJNm1TA2wtTHadogSqLCQ0xgDgA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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "d6885687a2d239c0f6c3f49d69eb8fa023b51ca2492cdf530af08c728c73944e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Same next sample IDs, different weights after missing momentum: 0.0195157527923584\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "526020b95c1b55db06c4a5ede9774acce43cfdc6cd5ab19761e38c6c675a76d3",
      "outputs": []
    },
    {
      "sourceHash": "8b0394c92d604b2a34b867e6f34a0de8c10429d3bbea1021dee34dacc41b714f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Five resumed transitions and all addressable parameter replicas agree.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "fbcfbf7d341151e7efa298429f4db771ddc7729f989e18fe849120b4e331b867",
      "outputs": []
    },
    {
      "sourceHash": "96ab7901a7e09bf3af7a1c44b058ccdc305dc13047669e113612e5e6b63a554c",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Current-epoch batch matches; next-epoch batch exposes the wrong key.\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
