Problem 46565. Find an inscribed square on a closed curve

Created by Ned Gulley

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Here's an </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Inscribed_square_problem\"><w:r><w:t>unproven conjecture from geometry</w:t></w:r></w:hyperlink><w:r><w:t>: Every simple closed curve in a plane contains all four vertices of some square.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"237\"/><w:attr w:name=\"width\" w:val=\"313\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>It's kind of remarkable. As far as we can tell right now, you can put at least one square on every single closed curve. Inspired by this, I made a simple discrete Cody-fied version of the problem. (And by the way, I'm not claiming it's mathematically equivalent...)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a list of points in [x y] format, return four indices into that list that form a square.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[xy = [ 29    13\n       41     7\n       53    16\n       58    48\n       80    41\n       78    85\n       46    80\n        7    46 ]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Then the answer would be the indices given in ix. These indices point to the rows that contain the four vertices of the square.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ix = [ 2 5 7 8 ]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"231\"/><w:attr w:name=\"width\" w:val=\"500\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You can return the indices in any order that honors the cycle around the square, and the answer is not necessarily unique. The test suite just verifies that what you return is indeed a square.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image2.png","relationshipId":"rId2"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null},{"partUri":"/media/image2.png","contentType":"image/png","content":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAADnCAYAAADo46QLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH5AgcFBYjzm6f2wAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAAgAElEQVR4nOzdd3wUdf748dfMbM9ueiEJkBAIAQKhiajYT1BUFAWVpoD17PXsXvmed+rdqWc9T1ARESsoIoKn2EAUEOk9kAoppG2SzfaZ3x8DEX4WQkiym83n+Xj4cAdmd99ZsvOeT31LmqZpCIIgHEbTNCRJCnUYgiAcA4PI54IQ3kRiFQShJQziYiEI4UvccAuC0FJyqAMQBEEQBOH4iYQuCIIgCBFAJHRBEARBiAC/mtArKyvxer0AlJaWsnbtWvx+f/Pfb9q0iZ07d7Z/hIIgCIIgHNXPErqqqixfvpy7776bQCBASUkJc+fOZc2aNbz++usAfPLJJyxfvpwPPviAFStWdHjQgiAIgiAcyfD//0FFRQVFRUXExMSgqiorV65k6NChjB07lscee4zCwkI2bdrEzTffTHl5OYsWLeLUU09tXlpTUVHBhg0bgPBcbmM0GgGO6G0IJ2azGb/fj6qqoQ7lFxkMBmRZxufzhTqUX2Q2mwkEAgSDwVCH8jOapmE0GhkxYgQOhyPU4Rw3VVWRZb1N4Ha7MZlMKIrS/PcNDQ0R8XMKQmfxs4SemprKzJkz2b9/Px6PB03TSEhI0E82GNi3bx9xcXEYjUbMZjNNTU34/X5MJhMA7777LpqmkZaWFpYJfd26dXg8HkaNGhXqUH7R/PnzGTp0KN27dw91KL9ow4YN1NfXc/rpp4c6lF/01ltvMWjQIDIyMkIdys9omsa2bduora1lwoQJoQ7nuHz88cdUV1czffp01q9fz6efforJZGLy5MmkpqayYMECdu7cSY8ePZg6dWpz4hcEof38LKGD3noNBALNd9sul6v575KSkmhoaECSJDRNw2q1HnFXHgwGmTx5MikpKe0ceuvk5OTgdrsZMWJEqEP5RTabjZEjRxIfHx/qUH7RgAEDcDqdnHTSSaEO5RdFRUUxfPhwkpKSQh3KL1q9ejW7d+8OdRjH5fvvv2fhwoVkZ2ejaRqLFy9m+vTpbNmyhS+++IJTTjmF7du3c/vtt/Pf//6XDRs2MGzYsObne71e6uvrw/KGH8BiseD1esNyDwBJkjCbzXg8nlCH8qssFgs+ny8sexnD/fPTNA2Hw4HFYmnV838xoQPNXapDhw5l4cKFlJWVYbFYyM7OJi0tjTlz5uB2u8nLyzsiocuyTENDQ9gm9Nzc3LD8oh5y7rnnhu2FDqBfv35h/fmNGTMmrD+/pqamTt9azcnJYebMmWzevBmv14vNZiMjIwO3282yZcsoLi4mMzMTh8NBt27dKCgoaE7oTU1NPP7441gsFgyGX738hNS2bdvIyspq9UW1PXk8Hvbu3cuAAQNCHcqv2r59O5mZmVit1lCH8jM+n4/8/Pyw/fwCgQBut5v77rsPu91+zM//xW+UwWDg2muvxW63Ex8fzyWXXEJlZSUXXHABkiQxceJEfvjhB0wmE8OHDz/uH6IjSZIU1hf8cL/Yi89PiIuLw2QyEQwGm3vqDlEUBUVRjmidHZ64a2pqsNvt3HvvvR0a87H497//zYwZM4iNjQ11KD9TV1fHnDlzuOOOO0Idyq969tlnmTJlComJiaEO5WcaGhqYPXs2d955Z6hD+VX/+te/qK6ubruELssyWVlZzccDBgw44o7GZDJxyimntCJUQRAigdfrpbGxEbPZTDAYZO3atezevZsePXqQnZ3N559/Tn5+PiUlJVx66aXNz5Nl+YgevXA0efLkVl1MO4Ldbmfy5MmhDuM3XXHFFcTExIQ6jF9ktVqZMmVKqMP4TbIst7phIpozgiAcsx49ejBy5EgALr/8ctavX4+qqowePZqUlBTOOuss/ve//zF8+HBycnJCHO2xSUlJCdvhAIPBELbDmYekpKQ0ryYKN53h8zse4flbKwhCWOvVqxe9evUCICsri+uvv/6Ivz/jjDM444wzQhGaIHRZooUuCIIgCBFAJHRBEARBiAAioQuCIAhCBBAJXRAEQRAigEjogiAIghABREIXBEEQhAggErogCIIgRACR0AVBEAQhAoiELgiCIAgRQCR0QRAEQYgALUroTqeTjz/+mLVr1wJ6ibfPPvuMb775Jixr3gqCIAhCV3PUvdz9fj+zZs0iLS2NoqIiAEpKSqipqaGxsZGGhgYuuOCC5vMlSQrbSjuCEGoOh4OysrJQhyEIQgQ6agu9vr6e+vp6pkyZwtlnn83ixYvZuXMn06dP59JLL2XLli1HtNJ9Ph8vvvgiGzdubNfABaGzWbFiBfPmzQv78qGt4fF4KCwsbK6NrqoqBQUF+P3+EEcmCF3HUVvosbGxpKen8/LLL+N2u3E6nSQlJTV/cb1eL4FAAJPJBOi1XHv37k18fHz7Ri4InUy3bt3IyMho/u5EipqaGl5++WWMRiNJSUlMnDiRt99+m6qqKqxWK9dddx0WiwUATdMi8oZGENqKoiitvkYctYWuKAqnnHIKJ5xwAunp6fTr14+mpiZ8Ph9erxe73X5E7WCDwcDZZ59Njx49WhWQIESq7OxsTj755Iibd/L999+TlJTE3XffjcvlYt68eTQ2NnLvvfcCsG7duuZzjUYjBw4cYOvWrXg8nlCFLAhhx+v1sm3bNiorK1tdT75F9dDXrl2LwWCgpqaG8ePHk5+fz8svv4zf7+f0009Hln+6L9A0jaamplYFIwiRzu12hzqENpeUlMSPP/7Ipk2bKCkpQVVVTj75ZADi4uLYv39/87kGg4Hy8nJWrVpFampqc8tdELo6t9vNd999R1lZ2RGN5GPRomdNnTqVgoIC4uLiSElJITMzk6ysLIxGo2iJC0IXl5eXR2VlJdu3b8fhcKAoSvNNvaZp2Gy25nPdbjdDhgzhuuuuC1W4ghCWYmNjueaaa3C73a2+8W/RsjWz2Uy/fv1ISUlp/rOsrCyRzAVBoKysjP3795OdnY3JZGLs2LHk5+ezYsUKioqKGDhwYPO5kiTh8/lCGK0ghDefz4ckSa16buva9YIgCAf17NmTPn36sHv3bi666CKys7ORZZlNmzZxwQUXkJGREeoQBaFLEAld6LSW7a7mo00VBFSNcwYkc3luUqhD6pJkWeass8464s9yc3PJzc0NUUSC0DWJhC50Sv/4qpAHPtqB6g2CpjFrRRHbLsrhwbOyMCmt664SBEHozMRe7kKn82l+Dfct2YmqatjiLAzITkBWZP6yLJ9vi+pCHZ4gCGFix4Em3li3n++K6vBH2P4Pv0S00IWw5fYH2VvjptjpYXtlE6U1TRQ7vXxd7AQNMMp4fEHqgioWu5Gmeh9bq5o4Kysu1KELghBif/18L098sReXyw+KxLihqcyZMIB4W+vWeHcGIqELIaVqsL/Bw55aD6VOL5V1Hn4sq2d/g489B1zUuPw0eALQ6IOACooEBgXMChhl/fkVLvQMDzaD6HQShK7upe9L+eMH28CoEB9nwe0LsvjbYm43yrx2+UAMcmQOy4mELnSISpePCpefqnovJfUe8mvcbNzfQHmdh3KXj+I6D7j8etIGONQ9ZjVit5tITrIRHW2mV6yFPjEW3ttYQeG+erAZQQLcQXr2iuWsXrEh+xkFQeh4noBKtdtPRb2PUqebzZUunv2uFMwGkCVko0LPOCs7XT6+Kqqjzhsg0RqZrXSR0IU241c13P4gZfVe8mua2FDmouCAi7IGL7ur3eyu80CTD4Ia+FXwB0GWwGIAs0JUvJX4GAv9Ysz0TbLRL9lOosNMvwQrmXFWYi0//brOGJ7Ote9sZnWxE1XVyMqI5e3Jg+gVZw3hJyAIQntp8Aepb/Kzp8bNjqom9jk97Kl0UVTvpbDWTWm1G3xBCKqgyPp1Baiqc1Pt8oEi4/KpeIORO5YuErpwzAKqxr56L7uqm9hT66Ha6WFLZSPFTi9FNW5qG3w0+QLQFNCTtiKBQda/ZGaF2DgzOQlW+iVGkRBrITfBRs9YMxlxVlIcZqKMMspRNlYYkBLF2zOGcMpza9hX3sC9Z2QwItXRQZ+AIAjtpbbJT1mjj721bvZWNVFa52HHARebqpqoq/dS7wmgeQLgPZi8DbL+n1mBaDN9Yy2gaewqqdf/TJLQ/EHwBhnRI5oUMYYudEVlDV5KGnxU1nvZX+ehoM7NhrJGSqqbqHYHKG/w6t3kh1raoHd/Www4HGZ6pDlIiLaQFGMmN85KbnIUOcl2HBYD3exGoozHV3XLZlCwGGXQQOoCM1gFIVIcahTsc3oorfOwu9rNuvIG9tS4aWzwUeMJUNfo1efOaOjXFwl9/ozNQFKijZ7RZuLjrPSLtzI01U5Wgo14h5luViOapnH9+1tZtKEcjAoENLL7xvPE+dkRO34OIqF3eQ2+IE2+IJUNXvbW6gl7e3kjlQ1eipxe9tZ5wOXT74RVTR/jliSwGjBajTiSbcTGWukXYyE73sqQNAcJ0WYyY8xkxFqINrffr5giSdiMCmgaTneg3d5HEIRjp2oa1e4Ate4AZU4PP5Y1UNbgJb/CRaXLR0Gdh/3VTeAJ6Elb1X7qLrcasEeZiE+OIjXGwuDkKLo5zOSkOkizm0i3m+gVb/3N5Pz2tMH8IcHG85/tJSnewpuXD2RIsr3jPoAQEAm9kwqoGm9vKGflnhosRpmT+yZwxYDkXz3f7Vf1sewqF9uq3VTUeSiscbOzuomyBi+VdV60QBA8wZ9a3EYFTAqKzUi03UT/eCsDU+ykJtjoFWsmO85KisNEzzgrxlbuPXw8DLKE2SCBBk2ByCpJKgidhU/VqGvys7/BS2Gdh50VLkpr3eypc7Olson99V6C7oM9eYfmzhgPrlQxGTAkRpHhMNErxkJuShSJsVb6xlnITY6iT6INkyLTmquLxSAzsmcMz2sadouBXtGRX9mvxQm9pqYGi8XSXDnJ6XSiKAp2e2Tf8YQjd0DlpkU7mPNNof4FAZ5ZUcSBiblMGJhMfq2b4jp9CVix08O2Ay52Vriod/upbfKD269PHpEk/W74YDd5dLSFPpkWUmOsxMaa6R9joW+ijbxudhxWI/EWA5YwWhZmVCTMBhk0fTKeIAjtxxdUKa33sqfaTWmtm8I6DxvLG9la3URjvZd6b5Amt/9gN7mmX1sONQxsBtISbGTGmElPsNE91sLQFDt9k2x0i7HgMCpEm5U27w43SIAi0egLUusOkBgVuePn0MKEvnz5ctavXw/A5ZdfTkNDA4sXL0aSJMaPH09OTk7zuZIkERUV1T7RCgCsLKhjzoqig+uxD/4TBlTuXLSDp74upODQErBDSe6wJWA2u4mYWAtJcVYyYy3kxFkYnOogLc5KSpSRnjEW7KbjG9vuKCZFIsqkgKrR4O0cCf3wUqKC0J40YMP+BvYccJGZFMXgbnaMR0mYQU2jvFFfYlpT72V9eQPFTg97q5ood3rZ3+ijvNatX1+kg2+iaSDr3eSxdhNp6dHExZgZkhRFj1gzvRPtpMdZSLUZSXOYMCkd1ygwKzLI+gocvxr5vXgtSuirV6/m0ksvZcOGDaxYsYIDBw4wadIkKioq+N///ndEQvd6vfzjH/9g0qRJjBw5st0C78q+LarVv0iH71lukAkEVAr2NYBJJiraRJTdTN94C4O72ck5uAQsJ85CQpSJjNjO3/0kS5K+b7sG+93+UIdzVMuWLePdd9/lvPPOC3UoQoSrcfu5e8ku5qzep/fiKRJXjkxn1oQBmBWZRn9Q7yav91JU52FzRSPFVW5KG7zsrGqi1OnRe/KCB+fN+A/OJrcYMFoN2NIsJDnM5MRaGJBsIyPJTprDRE6Cjb6JtrCZeGY3KaDIuP3BLtGL16KEnpWVxezZs9E0jUsuuQSn00lqaiqKouB0OvH7/RiNeleGwWDgwgsvPCLJC20r0W766e740PdG1bu4/jCuDyenOxjUzU6i3USUUTnqXXlnZjcaQNNoCIT/LPfhw4dTVVVFMBh5F5YvvviCrVu3MmzYMEaNGsWaNWv4/vvvycvL48wzz2w+T9O05muF0H6eXlHEnK+KIcoCFg2QeeO7UpxNfkwGmR8qXNQ4Pbh9QfzeADQdTN6HloAZFXCYyXCYyIix0DcpisRYC4MSbPRPtpEeY8VmkokyKq0a3+4oFqOMJEkEVQ1fJ1l/bjTqs/Rb46gJvb6+nsLCQu655x527tzJqlWrMBgMKIqCJEnN/z9ElmWys7OJjRU7drWH/Q1e3tpQrh8EVH2MStPAE+CMwd14bHTWUddwRxKHWYGghuwN/1nuSUlJZGZmUlxcHOpQ2lRBQQHLly9n5syZvPrqqyiKwvLlyxk3bhwffvgh6enpZGdnA2A2mykoKODzzz/npJNOEnNw2kGTL8iHexuQpCCPfjWLcwvX8XruOTw3agofra8A78Hu8oOrVRJiLWRkxBIfZ6V/vJWcRCvdY630SooiyawQbzPqXdedkM2oj8v7fUHqfOF9I+1yuVi9ejV79uzBbDa36jWOmtANBgNer5fKykqqq6tJSEjA7/fz2WefUVtbS2ZmJgbDkS/j8/laFYzw274tquPqd7awq7AOHCZ6xFioaPBhUSROHJjMq5cO6FLJHEA5eKHRgp1jfMzvD/+hgWOVlJSE2Wxm+fLlxMXF0dDQQHp6Onl5eWzatIlt27Y1J3TQP4PGxsaI7KkIB26TQmpDDTcue4qb8r8EYHjlLvwqzBp3DeO6GegXb2VQqoM4u4msGAtZCdaI7MmzGRVMiozf7cfpD+9rhKqqNDY2Htc14qgJ3WazccUVV7B69WpMJhOTJk3C5/OxZMkSjEYjF1xwQavfXGi5L/bWctX8TewrrYdYC89e1I+rT0hjbWk9CTYjg7p1zZZO0GQAg4xbLFsLmdLSUsxmM2lpaTQ1NVFRUXHExNjDL1Ber5ecnBzGjx8filC7BHtJKW/OeZCk/DUAlBtj6eav459fv8Tos3K5dOpNIY6w48RZDRgVCYIqUpjf9DscDi666CKKi4vxer2teo0WjaH369ePfv36NR9HRUUxbdq0Vr2hcOyeWV3Kgx/toKnGTVyagyfG5XDd0FQAzuzipUJtBgkkCX9QI6hqKBHYygh3e/bsIS4ujnHjxvHcc89RXV0N6Im8urqaUaNGNZ8rSZLowWtPa9ZgvvpqkrZtpQH426DLeWPQaN7/4C+c7C7l0pf/CmNPgBNPDHWkHcJilJFlCYJa2Cf0Q3w+3xHD2Meicw6MdBGqBn/7pog73t1KU5WbhO4xvD99SHMyFyDVaji4zjRAY5iPkUWq0047DZ/PxzPPPIPFYmHGjBmkpKTw7LPP4nA4yMvLC3WIXcNnn8P558PWrWC2IL3wXzLfmc3F11+E9tZcyOgB+8vh4oth4+ZQR9shNCQ0kwE0qO8E82yOl9gpLky5/So3f7id174phCCclJvES5MHMThJrPE/nMOsJ3SPX8XjDxJjEb/SHS06OppbbrkFt9uN1apXu5s0aRIejweLpfMvj+wU/vMSPPIwVFdDQjI8/TT2K6fwe4D+DiAZHHPgwnFQXg7X3wBLPoLExNDG3d4kqXmejbcLDMuJFnoYqmryc+37W3ntywJAYszwVBZdM0wk819gUWSQJHxBLaLLInYGh5L5ISKZd5C/PgY33agn88wsWLoUrpzy8/POPhv++S+QFVjzHUyeAvX1HR9vBzIrEilmfaOsrtBCFwk9zGytauLiOeuZ/20xmBQuPz2Tt6bkkRxlCnVoYclm1LeX9AZVvJ1kjEwQ2kRjI1x3HfzxQf14yHBYugxGDPv159x8Izz+hP7488/g3vvaP84QMsoScVY9odd5REIXOtDa/Q2c99p6Vm0qB1nizgv68s5lA4i3im7kXxNlUkCR8AZUPGG+LEUQ2kx9PUybBrNn68cXXwyffwr9sn/7eQD33AU33qg//u9L8Mgf2y/OEJMlmtfQiy53ocMs2FLJ+S+tpXRPDTEJNp6eksdTo3uHOqywZzHIzbPc/aLLXegKtm2Hiy+BRYv042kz4I03ICGhZc+XJHj2WbjySv340b/Cv59vl1BDTZEkHCa9QdRZ6j0cD5HQw8DsNfuYNm8jVQeaiEmxM2/aYO44qXuow+oU7GYFWZbxBFRRQlWIfOs2wIUXwVdf6MePPg6vzQKH49hex2CA55+HkSfpx/ffCws/bNtYw4TFoC8B83SB64NI6CGkArd8sptb3t+Kx+kho088780YwoX9k0IdWqdhNsgYZND8QWp8kT9GJnRh77wDF4yFgnw9gT/7Ajx0n56cWyM6GubOhdyB4HXDtVfD2rVtG3MYiDIpoIGrCyxrFQk9RAKqxnXvb+OFpbvx1nsZNCCZz68exuheXXujmGMVYz60E1TnKb4gCMfspZfgyqugohxSUuDDD+HWNtjxrW82vPWWntxra2HqVNi79/hfN4zYTAqg4Q6IhC60g331XsbNWc+rX+hfnMtOy+Cza4bRJ04s8zlWMRYjBlkGXxCpC3SpCV2Mzw8PPAy33gp+H/TNhfcX6EvQ2sqggfoYvN0Ou3fDxMuhqqbtXj/ELEY9zZU1BYj0e36R0DvYzqomLn9jI8vW7gOjzDVnZvL2lDxSbKKkZGtIMs114f0ioQuRxOuF626Ax/8GgQCcfDosWwKnjjr6c4/VRRfB8y+AosD6dXDlDIiQLXrtRn1IotavEmxlWdLOQiT0DvTxnhoueuVHVm2tBIeZP146gP+M74/Yfrz1NElCMxsAjcYusHGE0EXs2wcTJsLc1/Tjyy6HD96HXhnt957Tr4KHH9EfL1sM11ynl2bu5GIt+tavsi8YET/PbznqbApVVSkoKMDlcmE2m4mLiyM5OZk9e/ZgMpno0aPHz57T2o3lI9ni7QeY8uYmGg+4kGItPDMxl1tHpIc6rE7PKEG0IlMPnaLimvhuCEe1fbu+pGzdOv34rrvhX//Ul5u1tz//CRoa4al/wby5kDcQ/vCH9n/fdmQ6OMudTnB9OF5HTejBYJAVK1ZQUlLCjh07GDNmDNnZ2axcuZJAIMDo0aMZMWLEEc/RIvwu6Fg99mUBf1qyC3+jjx4Zscy6YiDn9o4PdVgRwazIpFgNlGpQ4w7/WuPiuyH8ps+/gLvugM2bwWjWN3155MGOjeGfT8DWzfDpp3D//RATA9df37ExtCHNpIBBwaeqNHiDJNgit2P6qD+Z0WhkxowZ3HPPPQwaNIjf/e53fPPNN1x77bWMHz+eFStWHHGR8nq9PPXUU3z77bftGnhnEFQ1/vi/PTz40Q78TX6yshNYNGOoSOZtSJElbCb917gpzHeK+/jjj3nllVcwtHaZUZjSNI1gMEgweOQsYlEm9Ri9v1Df8W3zZjCY4bU5HZ/MAWRZn/l+5pmgqnDTTfDp8o6Po40YZRlkCKrgi/BWeouvLAsWLKBv376kp6djNpux2WzY7XZcLheBQACjUZ/UZTKZuPHGG4+on94V1fqCXPv+Vhau3geBIKcMS2PW+H4MSLSFOrSIokgSVqO+V3NTmK8zHTNmDIqiUFtbG+pQ2lR+fj7z5s0DoLGxkZtuuoni4mJWr15Nnz59mDhxYvO5mqZhMom6BD/z1FPwwAP6RLQ+feC5F+G80aGLJy4OXnsNzjwLigph8hV60ZeRI4761HCTYFbAIOMJqtR7A6RiDnVIv8lsNre6J69FfQ9ut5uCggJOPfVUNE3D4/EgyzKSJGE2m5Hln15GkiSioqKaE3xXVFrvZcLcjSxcWQyBIOeM7M7iK/NEMm8HsnSw4hp6ydlwZjKZsNki73egR48e3HDDDZx++umYTCYaGxtZtWoVM2bMID8/n02bNjWfa7FY2LJlC2+++WbE3di0itcLDz4Ed9+tJ/PBQ+Gjj0KbzA/JzIT58yE5BWqrYcKlsGt3qKM6Zg6TAkYFX0AN64prTqeT+fPns3HjxlZXKmxRQi8pKcHv95OcnIwsyyQnJ/POO++wePFi+vXrh6IoR5yvquF9YW1PP+6r59z//sCXP+wDi4H7Lszhwyl5xJsjq5s1nNjNCmgajf7w/bIeEonfDYvFQlpaGhs3bmTmzJkEAgG6d+9Ot27d6N69O/n5+c3nqqpKTEwMvXv3xmwO75ZSu6utgxtugMf+rh+feQ689x707x/auA53ysn6bnIWK+wrhd/fAA0NoY7qmJgUCVmWCKoa3kD4zmExmUz07t2bmJiYVl8nWpTQU1JSmDZtWvPx5MmT6datG7m5uZx//vmteuNI9PmeGibO3ci2PdUQbebx8f15fGw2UYbInYQRDswHP19RPjV0duzYgdvtpm/fvrjd7iNm8x/+2OfzkZ6ezkknnRSRvRUtVlYGl14Gr7+uH18xDT5cANlhWJDp3DHw9FP6LPsvv4QrrgC3J9RRtZjVqGAyyASCalgPy1mtVkaOHEnPnj1bPf+kRZkmJiaGvn37Nh/bbDZGjx7NGWecEXETfFrrPz/s59JXf6SguA5HajSzp+Rx3+ntuGZUaGY36etMa93h+2WNdGvWrKFXr14AdOvWjcLCQsrKyti/fz/Z2T+V9JQkiUAg/HtS2tWaNXDeefDV5/rxHXfBnNkQEx3auH7L738Pf/mL/njpUni485RctSgyRlkCVcPdCW76/X5/q5e3imx8nDTgnyuKuO+jndDgJS7VwZtX5jE2S8xk7yhmRQIJyjwBgoBy1GcIbS01NZXu3fUKgX369GHEiBG888479O3blwEDBoQ4ujDy9TcwZTLs3w9mK/zrH3DLLaGOqmUefhj2FMDrr8FT/4RoB/zpkVBHdVRmg6zXe1C1iK+4JhL6cfAEVG5fvJOXv9gLAY0T+ifx0hUDGd7NHurQupRDO0EFOsHdd6QaPfrISVxjx45l7NixIYomTP13NjxwH9TWQEIKPPE4XDMj1FG1nCTBf16AmhpYvAj+8ifo0R2unhnqyH5TlEnBYpAhqEV8xTUxuNtKVU1+rn1vKy8v3wsajBqayqKrh4pkHgJ2s57QJW8ASWzcIoSjJ0TC364AACAASURBVJ+B31+vJ/MemfDxR50rmR9itcLsWTB0mL6N6l13wrJloY7qN5kUSW+hB1QqPJE93CMSeivsrvUwfs4G3lxVDLLE5Wf04t3Jg0hzdPFZuyEiKTLIEoEu0KUmdDIuF1x7HdxzB6DBsGGweDGcdGKoI2u95CR4523o1w+cTpg0CdasC3VUvyrKqGA2KKBquCK83JpI6MdoQ1kDF85Zz7ebykGCm8dm885lA0hziM0yQkUzyqBIBIJa2K9FF7qQ6mqYORNema0fjz1f30518MDQxtUWsrPh9bl6yVWnE669BgqLQx3VL7IaD3W5qyhhvA69LYiEfgw+2n6A0f9Zy66dVVjjrfx7ymCeH5t99CcK7SrGIIMi41NFQhfCxI5deoW0997TjydfpW/SkpgY2rja0okj4OVZ+hr1zRvhisuhqjrUUf2MJOlbRKNBMMLn2YiE3kJzfyzjynmbqDrgwpFs59VJA7n9pO6hDkvg4NaORhm3P0idJ/wLtAgRbvNWuOhi+PIL/fihP8H81yE2JrRxtYfJk+Dpp/XHa1bDHXdAMPxawarFABI0iElxwm3L8rlm/ibqa5rokRXPO9OHMCmvW6jDEg6yGA52uasavgi/AxfC3MKFcM7vYPcOvUrZ08/Bo38OdVTt6/c3wEMP6Y/fnAe33QlhttfAoc29fBE+hi6Wrf0GT0DlD0t28fzneyGgkpuTxNvT8hgo9mQPK1ajgsEg4wtE/rIUIYy9NgduuhE8HohLgDfmwgVdZCfNRx/Vx9Kffx5efB5S0+Hh+0MdVbM0qwEkCaeY5d41VTT6mPjGRp7/NB80jUtO6cHn1w0TyTwMmRQZRZZQVQ2vmOUuhMIDD8PNN+nJPLsfLFjQdZL5IU88AWf9Tn/8lz/CK6+FNp7DOEx6Qnd1gnoPx0Mk9F+QX+Pmijc3sWRNKZgUpp2WwVuTB9EtSsxkD0dRZlmvuKaqNPpEQhc6UCAA1/8eHv8buN0w9ET4ZAmcdUaoI+t4NhvMewNOHgUBP9x5O3zxRaijAsBqlEECr18jGMF7VYiE/v/5vLCOs1/+ga83loPNxMPj+/PKZbnNBUCE8GNSZAwH92oWY+hCh6mshMsug1n/1Y8nTITPlkKfrNDGFUppqTDnNUhO1quyzZgBG9aHOiqijApIeonlgNrFE3owGOS7775j9erVzWXdvvvuO9atC9/NBFpj6c4qLn/1R0qK6jA5zDwxcQB/PTMTk9y6jfKFjhFlUvQbLr9KbYSvMxXCxM5dMP4S+PBD/fj3N8Lbb0GCqOFA32x4/319iV5JCVwxFYpLQhqS3aSAJNHkD+KP4IlxLZoU9/777+P3+3G5XAQCAerq6igoKMDtdlNbW8s555zTfK4kSURHh3HVoF/x75XF/GHRdgKNfrqnR/Pa5EGc01t8OTsDkyJjUiQIalSF+aQ4u11sDdzpLf8K7rkTNmwA2QB//DM8dB+IypM/Oe00mDULJk+GXdth2lWwaCHExYUkHItRb5R5A2rX7nKvr68nPz+fxMRE+vTpQ1ZWFhs3buSaa65h4sSJ/Pjjj0cUY/f5fMydO5ft27e3a+BtJahq/N/yvdz5wXYCLj/pWXG8O32oSOadiMOsYDEooKqogfD9sq5du5YPPvgARYnMenAVFRVoh10sKysrQxhNO1n8MUyYoCdzoxlmvQJ/ekgk818yfjz87TH98YqvYPpM8IdmnwiHWV+HXu/r4i10l8tFUVER/fr1Y9++fZSUlBAfH48syyiKgsfjIRAIYDLpE8YkScJmszUfhzNPUOOq97by3vcl4Aty4pBuvHrpAHLFTPZOxawcLI8Y1JD84dtCN5vNWK3WI5JeJAgEAsyfP5+amhoMBgNXXXUVn3zyCYWFhSQkJDBjxgyMRmPz+bLcSeej/OtJ+OMj+uS3jEx48SU4/9xQRxXe7roD3E3w8EMHK7T9RV/i1sHMBhkkiQPeAE1hntCP5/tx1GeazWZiY2OZMGECF110Ebt376a2thZN0wgGg9hsNgyH3Z0ajUYuvfRSevfu3eqgOsL+Bi/j567nvRVFEAhyxoh0Ppo2WCTzzsqkT3ppCuOEnpeXx7nnnntEj1Yk2LRpEwcOHODiiy9m2LBhbNmyhaKiIu655x4aGxv58ccfm8+VZRmn00lxcTE+ny+EUR+DYFBPRH+4R0/muXnw0SKRzFvqgfv1Ai4Af/sb/P3vHR5CrEXPUZ6gSiBMb6j9fj/FxcU4nc5WJ/WjttDj4uIYNGgQL7/8Mk6nkwsuuICamhpmzZqFx+NhxIgRR7y5pmk0NDSQkpLSqoA6wrZKF5Pe2Mjm/GqwGLjnnN78bWy2mPzWiUlG/XfQE+Z7ubtcrlCH0OZKSkooLS1l8eLFWK1WevbsSc+ePTEYDCQlJVFSUsLIkSMBvYFQWFjI4sWLmTRpEgkJCSGO/ihqnXD77fDG6/rxGb+DF56D3P6hjaszkWV49VVoaoKPPoKHHoHefeGKiR0WQqzFCJKE5Asih+lKmMbGRpYsWcLevXsxm1tXufOoCV2SJCZPnsyWLVswmUwMGDAATdPYvHkzRqOR/v071y/2Z/k13LZwOzv21kC0mYfP7cNff9eFl5lEiKTmjSPCt4UeqdxuN5mZmdx22228+OKLfPvttwwc+FNFscOH35qamhg2bBg333xzKEI9NlVVcNXVsHSxfnzxBHhjDjjExMZjZrXCi/+B/D2wbSvMmA6OKDh/bIe8vaxIIEtoqoYvTOfZxMXFceONNxIIBGhqamrVa7SoXW8wGBgyZAgDBgwA9CSfl5fX6ZL5KxvLmfDqj+zYW4Mh0cbsqXkimUeI5C6ytWM4Gjx4MC6Xiy1btlBfX88pp5xCfn4+GzZsoKioiNzc3OZzJUnCH6KJUcdk3To4++yfkvmdd4tkfrzS0+DddyGrN3ia4KqrYMvWDnlrVZHBKKOqGo1hvrTV7/cjSa3rLe4yUzOfWlnE3Yt3gdNDbIqdN64czIV9xEz2SGE5VHwhTO++I1n//v2pqalh9erVjBo1itNOO42EhATWrVvHGWecEfbzaX7m21Vw5TQoKADFDI89qo+fC8cvd4C+m9yYMVBdBdOvgkWLoHv7Vq60KhKyIqMGVdxh2uXeFiI+obv9Kg8s280z/8uHgEpeTiKvTBrICamOUIcmtCF9r2Zo9AUJqJq+c5zQYUaNGsWoUaOaj0eMGMGIESNCGFErvfo63HUnOGshIQme+AdcMyPUUUWWk0+GV17Rd5H78UeYeBl89RVYWjdu3BLRJgWbWaGxIUiNuxP0ELVSJ10/0jI1TX5u/mA7z3y2BzQYkdeNxTOHimQegQ5tzesNqETwDbjQnp59Aa67Vk/mSanw7nsimbeXyy+Hvx9co776e7jpZgi03/wXsyJjNcigaTSF+eZTxyNiE3phvZfz527gtW8KQdW47IxM3p+aR89YS6hDE9qBw6xv7ejyBfBH2LIwoZ15fXpCuf0WUANwwgnwv2VwdhcssNKR7rhdn5sA8NorcM/d7fZWJkXSb/pVjaYILuAUkQl9/f4Gxs9Zz+pNFSBJXDOmD29flkvP6Pbr0hFCy3po2VpQQw3TdaZCGKqr01vl/3lRPz77HH1Md0heaOPqKp76F0ybrj9+5hl49tl2eRuTLGFW9Ba6O8yXth6PiEvoS3dWc+7LP7BxayWmaDMvTMlj9kU5kfeDCkeIMikgQ5UngCfMd4ISwkRBoT5++8Yb+vGkafD2fEhLC2lYXc5/XoAzz9Qf/+EPP/17tCGzUdZv+lWNBl94z3I/HhGV595YX86U+Rs5UN6IKTmK/14+kJtObt/Zk0J4sBkVQKLGF8QtErpwNFu2wrhLYPnn+vE998Nbb0BSUmjj6orsUfDOO3DiieDzwXXXwcrv2vQtDLKMUZFBBW8ET7KJmIR+//K9XPXGRuoqXaT3iuOjmcOYMSw11GEJHSTeZgQJCKhIostd+C0fL9GXTW3dAA4HPPUM/POxUEfVtSUnw8uzID4BvF64ahps3tJmL28xynpNdFWjNoL3quj0Cd3tV7nn4108sWgHePz0y05k4VVDODcrNGX6hNCwGmU9ofuDSKpI6MKvmPemXtKzbD/ExsNrr8Gdt4U6KgFgcB68/TbExUPBXrjiCiivaJOXVgCjQQJNo8wjZrmHpRq3n6lvbeLJT3ZBUGX8yO58fcMJnJgqdnPqajRFBoOCqmnUh/lOUEKIPPAI3HA9NDZAVg68/Y5eClUIH6PPgeef1/d/374Nrr9Or9Z2nGRJwm7SW+iBgOhyDzv5tR6mvLmZD74vBZPCZadmMHfyIJKjjEd/shBxZFkCRULT9LXognCE2+6Axx/VC4QMHgaffgLnnhPqqIRfMmUy/POf+uPFi+Hq6/Ru+ONkM+gJXY7gG/5OmdC/29fA2f/9gU9/3A9mA/eNy+HtyYNwmJRQhyaESIxBQTEqqEHRQhcOU1kJl1wCzz2jH4+/FJZ9An1EDYewdtdd8NBD+uO358Of/3r8r3lwWM4nJsWBx+PB5XIRCASaj0NRZGHZrirGzf6BkqJabA4zf50wgMd/l9U570yENhNlkrGbFVBV6iJ40otwDAoL4YpJ8OGH+vFV0+G9d6Fb+JZ2Fg7z5z/DReP1x4//DZ7+93G9nGZUQJbwRHAPXov2cl+1ahULFizAaDRy2WWXER0dzQcffIAsy0yYMIFevXo1nytJEtHR0e0S7H/X7OPW97bgb/SR3M3BnMmDGNs3zOspCx3CIMsYZX1Zii+Mv7B2u5jf0SG+Xgk33QDbtunHf34U7r8HDKIXr9MwGOCNuTBxInz2P3jwAejVC8Zf3KqXSzDJIEt4gyqqBpFY7qFFDdt169ZxwgkncPPNNzNkyBAWLFjAuHHjGDFiBEuXLj3iXK/Xy9NPP826devaLMigpvHoF3u59b2t+F1+0nvF8fb0wSKZC82sBhnbwa0dG7zhOYv1iy++4NVXX0VRRFJpV59/ru8Vvm0bGEzw3Ivwp4fALHaK7HSiHTB7FvTpAx6Pvqvf11+36qVSrEZQZOq9QdztuG98KLWohd7Y2IjT6WT37t2ceuqpREVFkZWVhd1uZ8WKFfj9foxGfTKawWDgpJNOokePHm0SoDuoMWPhNt5dWQTeIHl5Kcy7LJdBSVFt8vrCL1M1jQ+3HuDrPTWoqsa4QSmMCeNys0ZFwnRwWUq4dqllZ2czdOhQ1Ajca/6zzz5jw4YNJCYmMmXKFPbu3cuKFSsYMmQIJ554YvN5mqZhMLRjkcen/w0P3Kfvz56WBrNfgbHntd/7Ce2vZ09YuBDGng/7SuHKGfC/T6Ff32N6GatBH0P3BlX8QQ3CdP600WhEa+VeGkdtoauqyrRp03j44YcZP348S5cuxefzoSgKkiQ1/7/5BWWZ4cOHk5yc3KqADlfR6GPSvA28+1UhBDXOHJHO0ulDRDJvZz5V44bFu5jw8lqeXZbP85/v5dwX1vD0t8Vhu0+62SBjMep7NTeGaTWlHj16MHDgwFZ/WcNVbW0tK1euJC8vj8GDB1NZWcl7771Hbm4uS5cupbCwsPlck8nEvn37+P7772lqOv7lSEf4+2Nw9116Mu87AD74QCTzSDFokN79brNBSSFMnQql+47pJewmA0gSHp8aljf9breb1atXU1xcjMlkatVrHDWhB4NBli1bxo4dO8jPz6d///6YzWa+++471q5dS3p6+s/uuD0eT6uCOdzu6ibOm7WOj74vBYPMrWP6sGzGUNKiWveDCi23oqCW2cv3gtnACQOTiU6wgqZx70c7KHUe//KR9mBSZCwGfQw9nLvTvG2w/OZYacH2/Tzq6uooLS2lqKiIuro6SkpKSE1NZdSoUWRlZbF58+bmc2VZxul0smfPnrb7LJo8MONaeOhB0DQYdQYsfF/fSlRoVzsqXby9sZz1+xra/83OOguefxGMJvjxB5g+Xe+GbyGzQQZJwhfUCITh9tA+n489e/bgdDqR5dZN8z5q35fRaCQvL4+vvvoKq9XKpEmTaGhoYPHixRiNRi666KJWvfFvWb6nhjs/3MHm/Gqwm7n7nN7869zebf4+wi9bU+yEoIbRYsQfVGnyBsEoE/AGeW51Kfee2pOkMLuxMikHqympGuVNYpb74YLvvAP19UgTJ6IkJrb560dHR3PttdeSlpbG/PnzkWWZnJwcQJ8ke/gNvsfjYeDAgUydOrVt3ry8HK77PXy8SD8ecwG8+Tokivk17aneF+TWJbt4b3Upbm8Aq1Hh4mFpzLq0v76BS3uZOR0a6uH22+CL5Xoxl2ee0TeiOYpoiwyKhDsQnmPoMTExTJkyhdra2lY3ils0mDVy5EhGjhzZfGyz2bj22mtb9Yb/v1pPgPc3lrOiqI4+CVZibSYeXLYbV4ULQ5yVl64YyDVDurXJewktYzLIgIbfE2BjUR0o+p0tssS/lu7m/XX7GZwZy+UDkhmZGUvvMKgxr8iSPkamqtRGcHnEY6FpGpIkoRUXY1y5Ev8336BdeCHymDHIbZjY6+vrMRqNZGRkEBMTg8fjYd8+vTvU6XQyfPjw5nMlScLn87XNG2/dCldeCevX68d33Q3/938QZWub1xd+1ZMripj72R4Uh4nkeCuVdR7eXlFEmsPEkxcc29j2MbvtVti5A158Ud9VzhoF/3j8qE87vIXuD+Ptob1e7xHD2MeiHWenHF2dN8hl725h+Wq9W13fjFv/X0w3O7MmDeKyfm3fohB+28SBKfz760JKDzSBWdG7Mf0qdrsJv6pRWOyksKiORd+VkpwcxSlZcZyXncCZvePIiLHoXd8dTALsZoO+E1SYjqF3tGAwiMFgwAsYAwGMVVXw+usEly3Df+65SOedhyHh+FuyUVFRzJ8/n1WrVmE0Grn66qtZuHAhTz75JDabjSFDhhz/D/P/W7FSn/G8cycgw1//Dx5+qO3fR/gZv6qxfGcVAL26OYg3yVQ6vaBIfLy1kkfOySLW3M6p5bnn9Fr28+fru8r16g03XvebT4kyGUCWcPkCYTvP5niFNKG//sM+PZnbjPqiQBVQVawmAx9MH8JZvUSBlVDIiLPwxtQ8rpy3kdJaD8gSA3rF8fqEAXiCKou3HWBNkZM1pU4qKxr5sKiOD1eXYoy1MDLVwTl9ExjTN5ER3R0YWnmn2RpGRQINtDCc8BIKwWAQTdOaW8TBYBAJUMrLUebOJbB0Kb6xY5HHjMFwHGVDk5OTue+++3A6ncTFxSHLMjNnzqS2tpbY2NhWjwce4g6orN9XT369n7zeSQz58G249RaoqYaYeHjyKbhm+nG9h9Byjb4gte4AGBX2VjSSHzy4qNussOuAi9Nf+oFx/ZM4s3ccp2bE6j1nbU2W9a72/L2w5nu47RZwRMG0Kb/6FKtBRpIh6Fepj9BevJAm9PX7nIBEelIUFfVeAt4AIBEEzJG46r8TObNXHD2Toijd38gt5/Xh0fOyiTHrY2OnZsTiC2qUOj0s21HFZ7uq+LqgjtpKFysrXaxcX8ZjCVZ6JtuZOjCZU3rH87tescjtnNxVkwEUCZc/fO++gyYTAWPHrJcxm82oqorvsGVyGj8ldkNlJcydS2DJEvznn49y7rnIrUzsBoOBhMNa+5IkER9//MscK5r8THprM9/uceJX4f7tS8j7+Flk1Q/xSTBvHowdc9zvI7RcrNnAmb3j2banBtV0cDgOIKhBUGXzjgNs3lbJ36PN9ElzMKFfImfnJDEi1U6ctQ1/9xMT9Z3/LhwHmzfCzTdD3z6/Ohky3mpEliWCPhUtjLvcj0dIE3pytAU0jZp6L0Ff8OAvhgqKhNkoNt8IpbJGL3tr3CDBiB7Rzcn8EJMikRVv5aZTenDTKT3YccDF+uJ65mypYFuxk9IqF7t3VvHnXVVgN3NizxhOyorjkv5JDEmPJtbc9v++poMtAX8HrfPWDv1XUaF3/8FPF7dfIMsyjqIiEqqq0PLzj7oeXZZlgqqKQZYJHuNMdU3Tmrdnlmtrf7ZU7ojEXlUFb7xBcOlSAhdcgHzeeahxcaG9OKCP9Nz60Q6+Wl+BTfPwj1Wvc9uGRciAf+BgjK+9BicMDXGUXY8kwSPnZLG1opGvd1Xp413uAMNyErnxpO58ubeWlXtrKK5xk7+9iid2VvOEvYD+qQ4GpEczMSeRwT2j6Z/QBnMdevaAeXP1GfA1Nfqcig8WwoDcn50aZVL0hB4IIkXofu4h/c6O7pvIc45C3E4vWBRAgqDKyZlxDE9zhDK0Lq+ywUdFnQdMCikx1qOe3y8pin5JUUwenkqp08vXBbV8su0Ay/fWUFHVxJrNFazZVsmzXxQwuEc0Z/RN5LzecYzMiCXe0ja/hqkWBWQZl0/Fr2kY27FHQAOCqgrvvAPvvotUXf2byRz0EaURsowEqAsWHPU9VNB3lZNlWnP7c2iTWQ1+df+AwxO7cuAAzJmD/6OPUM8/H+n88yExsVXv3RbKGr18ubMKHFaG+uu4YcunyMCClCEs//0/+fcJQwmvtRZdRze7iT+P6c3Ze2qQgTvH9eXGkT3IirNw7YnplDV42bC/ge8K6vhgWyU7yxrYvrOK7buqWLCqGFOMhcv7JzE0M5YrcpNIjzmOibV5B+uoT7wMdu2CSVNh5Qp9l7nDaLIERgU0cIkx9LY3OiuO2ZMHcu+inex3etAHQCUqnB4OuHxhtzSqKymu86D5VRwxFtIcx/bv0D3GzNQh3Zg6pBvljV4+3VnNp7uq2bCvnu1lDWzcWcXGbQd4NsZMSoKNs3vGcGqfBMblJNIjpvXbc8ZaDna5+wK4/UGMpvb59dY0jYAkEfzyS4wvvACq2vJtRSUJDVq0zAZAa4ObkpZsZHN4YjdWV8OsWQSWLkU9/3y0885DTkrq8AJIEnrXPbJCXG01TsWMNeBhfs4ZbIrvgxrUQBFDc6FS1uBD8waJj7fw0JmZxFp+6k5PdZhJzTEzNieR+3/XS1+vvqGc74rqWFlYh6/Wzbwv9zLPYuQvcRZO6x3P+f2TOCMzltzkVmwcNno0PPmkXj9980a9EM+8uXB47QRJQlJk0MAtxtDbx9QhqZzeK56qBi9bKl3MfHcLO/bU8IdPdjHnsoGhDq/L2lLpAl+QVLuJbsdxY9XNbmb68DSmD0+jqsnPzgMuPtxSycr8Gr4vcVJRUMtbhXW8tbKYv6Xa6Zsew8y8FIZlxDIw6di65MyGQ+UR23fjCFXT8ACGVauQfD40R8t7k5qjamGi1mhZQm4rzT0PRiNySQnK00+jLlhA8JZb0M45h8PWorS7VIeZnDQHBzbXUOqV8Zgt4HXy99Vz2DLtHCxKZgdFIvyS3ZUu8ARw2Ez6DPJfYTMqDEuPZlh6NJ6gyubyRv0mf2cVa0uc1Fc1saTSxZI1pcQm2BicobfaR2XFMygpqqVfFbj2Gn1fgkcehkUfwK23wuzZcLB2gkWRSDArlGkajb7I3Ksi5AkdoEeMmR4xZoZ2j2ZbZSOPL97F69+XMm5AMhNyj38LWeHY7a50gTdAeqyFxKi2mciSaDOSmBHLqIxYAL7aU8vqojrmbq2kqKyB/fsb2V/awFc/7seeYOOsXnGcmZ3A+TkJ5CTajppI7AeXpXj8artVXNM0jWAggCcQQLbZsMoyqqa1SUs6XEiShBzU57Q0ZWTQdNppGLt3x+L3Y1QUpOOctX4snrugL5OqN7BB7s/pox/ky8V/IsdbR85jd8HoPMjs2WGxCEcqa/CCqpGRYMXYwknMFkVmRHo0I9KjefjsXqwpreer/BoW7ahkS2kDdbUevt5fwtc/lmGOt3Jyz2gGpccweUASfVKiSDrapLqHH4KySnjxWZgzB3plwR8fOfjeEokWA2Ua1Lg7vvR3RwiLhH64B87K4pMdVWzaXsWdi3YyKiOWbnbR9d6RVE2juNYNkkSPFiTS1jqzdxxn9o7jnrN6sX5fPZ/lV7NsexXflThprG5i8f56Fv+wj/vjrIzJiuPsnETO7hXLoG6OX+xpTbAZQdLLI5raaS28pmn6zHGXi6q8PJRVq4gtL9e70I+W1DVNby1IEgQCLTvfZILjnRUfDOqt7qOQAFlRIBik1m6nMDeX+lGjiM3NJTk2FqPfj0GWmzes6QhDUh0sumY4H2ypoELry+yUIPe/eBcxBbvhsstg0YeQltohsQg/8asa2w+4QJEYeByT207sHs2J3aP5w5mZbC5vZG2JkxX5NSzZVU1VjZuv1uzjK2M5z32xl57JUUwblMLwzFjO6xOP7dcmTj/9T9hfDB9+CH/6I9ij4K67UBQF88ELhycgZrl3iGizwvPj+/O78rWUlDp5cNluXp348xmLQvupaQpQWu8Fk0xGB9xMKRKc0D2aE7pHc9dpmeyodPHR9kqW76pma0UjVQeaWPJdI0vW7iMq3kpGip2L+8RzYlYcY/vE61u+AtsqGkGWqKj38u62A/x+eFq7xSwHAjQlJLDqwgtJWrsWu9N51K5xWZZpaGjA7/eTkJBw1JnrBoMBfyCAwWAgEGhdF6GiKCTU1pLg9aL9SlJvTuSSRJXJxM7MTHb16YMlK4tYm404lwvNakWzhGZHwJxEG/ef2QuAzwbexr2FZTz5/9g77/CoyrQP31MzM5lJT0hPSAKhFwHpvShSFVRcrLgunw1FBawr6q5rW3tDpAgIIkiHgCBVKQkgEEoqIb3XaZn+/TEQwQWBkGQm4dzX5eWczJlzfpyZc573fd6nbPkQ9eFEp1t19aprXsIQaBh0JhsZ5QYQi4gLuPFodRHQJVhNl2A1j/ZyBtUl5tTww7FCDuXWkFVQQ05WFW+nV4C3BxGBnkxoF8CIdgH0i/AmUHXRoFcuh6VLYfx42LULXpgNXboiGzHcuTTgcN8WyzeK2xl0gIHRPjw7OJr3N6ay6Ncc7mgfyGTB9d5kFBss5GtNIJNwSxNnG3hIRHQNUdM1RM0rQ1uTkLSDpwAAIABJREFUUW7kWH4Nq5NLOJpdRWahltMlek6fLgGFlFuifOjR2he1WMRHe86BTIzFaufxZccprDTyz2ExSBqwpoFIJEIsFiOTydDI5VSGh3NCqUSr02GxWp2z6iv92xQKThw/TlV1NUOGDMF4lW5jGo0GrU5HlJ8fWu31N7+w2+0oFArid+8mMD//f2bplxhyiYQz0dFkxMTgHRODh81GhK8vCoUCjUaDQqFAKpUiEomabHZ+OUYGStj02hxezM/h8+MrYc1P8Oyz8OGHdWulAo1PsdZEUVUteEhp00p99Q9cJyEaDyZ0DGRCx0DytWYO51azOaWUXZkVZBTqyM2q5PNzlXy++xxtgj3pE+fPPR0C6R7uTZhG7gyGm/c1jBgFOdlw3xTEq39C5hcGFGIV8tCblteHx7AjvZzfT5cya2Mq/SK8CfWqfwS0wLVztsKArsoEnjKiG2D0XV/EIhFtA1S0DVBxT9dgqoxWNp4p5besSlanlFFeYeDo6VKOpleAXAJSZ715bA5wwJvbMhkbH0CvCO8G03TBoCsUCnx8fLBarSgkEgwaDVaL5S9n6QqFguq8PDQiEW1CQjDo9X95Li9vb2qqq/Hx8bnudooOh6Ou9KvqT90QLzbk5TIZyRERZMbGoggJwVupJCAgAKlUSnh4OGKxGE9PTxQKxf+0SnYVb93qz4j/m8U7n1TxYso2+PRTCAyGV19ytbSbhtQyPTarHZFCgp+ycc1ImEZOWIdAJnQIpKrWyu6zlWxPLSMhrZxzpXrSz1WRnlnJ0n3ZhAerGdjalx7hXkzu0ZbQDRuQTRoPmdlIpz2CZtonoFJzttyAg6YL8GwqruubMBgMKBQKxGIxhYWFyGQyAhqhexM4iwB8NDaeMflazmVX8crPmSya3KFRziVwKWVaM1jtqBUyt0od9FFKeeCWEB64JYR/Gy38mlXJz+kVrDtRTMH5NX9sDvzUcqx2BzVVtSScrWxQgw5ON7ZcLsfLywupVIpGo8FkMtWVWr0SSqWSgoICZDIZbeLi0Ol0f3kePz8/ysvLCQgIoKKi4ro0OhwOTCYTDocDj/Ou8j+71k9GRpIeHY0qNBQfhQJPT098fHwICwsDIDg4GLPZjFwurzPm7mDQvcTwwcSODM1+gTbLK5mUkwhvvgFRkfBAA3VxE/hLzlbWQq2NmCA10TeSQ36d+CikTOwQyMTzxj0pt5qDOdXszShnR2YleTnVrMisZIVCyhtbM+nSLZqpU17koXefQXX2LDO/mMOvk99iQ4qIicuOs/CuDs7YmxbCNRv006dPs3jxYv7zn/9w6NAhdu7cicPhYOzYsXTp0uWSfevbnP3PDI7x5cmhrXlvQwpL9ucwOt6fezq3apBjC1yZ0yV6sNvpGqDEv4GKvjQ0/koZEzoEMaFDEG1aqZn5/QkQgdRTzpB2ARxMr6DG4bh0ba2BEIlEzpmvSoVcLsfT0xOr1VpnzK9k1L29vcnIyMBmsxEeHn5VN7qvry9KpRI/Pz+UyqsX97mYiyvFSeRykEgQOxyUS6Wcio4mvXVrFCEh+F1kyL29vfHy8qJVq1aYTCZkMplbGfKLGRSsYM6Yjtxf8ixRG16nZ1k6THvE2WntrjtdLa/F83uxDsw2wnwVBLjIIPoopIxs48/INv7YhrXmTLGe7enlrEsu5kiRDm2Znt92nOQ3TUf2j5jBNzs+ZWDhab5b9w6TJ7zChgNGXlbKmDep5UwUr+lpbTAY2LRpEw6HA51Ox65du3j44YcpLi5m586ddO7cue6GN5lMvPvuu0ydOpV+/frdsMDXhrXml/Qyjpwq5aXNaQyM9iFEI7jeG5NTJTqwOoj1U7qkc9r1MrGdP+8HqykoqMEql7IpuQRzpZGASG8mdWic2AuxWFznfpfL5XVlXC9nzC/sm5CQwIoVKxgzZkzdDP9q5/Dy8kIkEl113z/jcDiQyWSYTCasIhF6h4Pj7duTFhmJNCgIX5UKlUp1iSFXqVSXrJVf0OCu/LN3EJtSu3CH+UV2bnmTThXZ8OQT0C4eOrSch7Q7UlppBBz4+igaNEalvkhEIjoFq+kUrGbmwCiOFuk4lFXJhjOlHMqpYVmvuwmsreHD3d8wOjeJxzL28EmXCWxOLadAZyJU3TJsylUNut1uZ/PmzfTo0YOioiKqqqrw9PTE19cXq9WKVqvFarUiO59aI5fLefDBB+ncuXODCFTLJXw4Lp5RuTWcPVfF7IQMlt4jRL03FjY7FFTWggiiAutRsckFRPsoWf1AFx5ffYqTBTrMIugW78+HE9oT1EA59Jfj4pnrtRi+QYMGYTabqa2tBai7Z/4K6fn1b6n0+jwlDocDqVSKXq+n/NZbOdauHUYfH7xFIpRKJT4+Pnh5eeHl5VW3Ri6TyerOUx9D/ttvv2EwGBg5ciR79uzh8OHDtG/fnjvuuOMSXQ3lwVPIJCy4PZxb87U8MPIZdmyYi39REdx1F2zcCG3aNMh5BC5FZ7ZRoreATEJnX/fsPX9LsJpbgtU83jeClCoL4xceJqiiuO799r4SkIipNlnRulkZWLlcXu9iUle9a/Pz89m3bx9ZWVns3r2b48ePO914511xMpnskptfJBIRFBSEStVwX/SgaF+eHx4DEjHLDuby08mSBju2wKXk19RSrDODh5TQGyjD2tT0jfRh31N9OPZ8fw7N6MPeJ25laLSPq2Vdgkajwd/fv0kqv4lEorp7VN6lC74dOuDn50doaChRUVGEh4cTHByMn5/fJVHs9aWyspJvvvmG3NxcCgoK2LVrF3feeSe///47Z86cqdtPoVCQmprKunXrqK6uvuF/Z68wb+b2D+JYRA/uH/0CJonM2SP94b/DVYIOBepHbrWJ1DIDyCV0buX+g/52sloSdvyXF0+sB+CXyO687X8r1OgZGONLG9/rW85qLLRaLevXr+fMmTMo6pkielWDHhQUxJNPPknnzp3x9PSkXbt2eHt7s379erZt20abNm2cDSQu4no7Q10LLw1tTfe2/qC3MHNjKgVaU4OfQwAyK4wU60yIlVLifFyTd1xfNHIJnULU3BrhjcZNu/U1xr1xJcRiMUqlEpVKRUBAABEREYSFhREcHIy/vz9eXl7/42KvD1arlZ9//pmRI0cSFhZGbm4u0dHRxMTEEBUVRWpqat2+FzwHnp6eDebOf2lINL1jVWxtPYhZgx9z/nH/Xmc97/O94AUajkqjBYPODHIJ7epTd70pSc+EUWOITfgJB/B56xGMGPEiOVI/oiLV/HNkbKO3db5WLmSUyGSyeg/6rzok9/DwID4+HgAvLy/atm1LSEgIO3bsIDg4mBEjRtTrxNeLWi7h04ntGFaoJTenmhcT0llyj1DrvaHJ1ppwGCz4B3rSIajh80sFmg6JRFKXbma1Wuvy56VS6Q0b8YvZtm0bmZmZxMbGcurUKdq3b3/JDOPiQYzJZCImJoaRI0c2yLkB5BIxn41pw4hvjvLZrffiZ6hh7sFlzhz1F1+CD//bYOcSgKxyAw6TDW9fBX7uXMXzxAm45z5IPQ2A9dlZ+DwwkxcrLQQoYVLHoCaN0L8anp6ejBgxgpSUFEym+k1Yr2uI3L59e8DpOrzzzjsZM2YMHtfaZaoBGBDlwwtDW4MYlh7IZdXJ4qt/SOC6OFeqB5MNhaecAHe+WQWuygUDrlQq0Wg0l6yVN2TUemhoKK1btyY9PZ38/HzUajXZ2dnU1NRQXFxMbGxs3b4ikQiLpeHraPeK8Ob5oVFgrOWNwdP4vvP5dfuPPnQWnRFoMI4X6cDhINrLA2839YSxeTOMHu005hoNfPU1so/e4/5bQvjP8Eie7xfpVsb8Ysxmc73vT/fMSfoLXh7ami2pZRw/VcqsDan0i/QhTCg402DkVtWCSES0Rn7NDRcE3JemiFLv3r073bt35+zZs+Tn5zNw4EBKSkr45ptvCA0NpVOnpvGkzR4UzY7UcvalVvHSXc8xwNtM1K874PnnwVMN0//RJDpaOqkVRrDaaRegQi13Q4P+/XL4v+mg04HGCxYvcgZK3gQ0O4Oulkv4fHw8txVoyc6t4eVtGXx3txD13hDYHA5Syw0ggv4R3i2uipJA4xITE0NMTAwAkyZNavLzK6RiPhgXz7CcQ+TqRMz821zWGMrg6DF4/gVo2xaGDmlyXS0Ji81OVpmzZHHo9bQ2bSpe/Sd8/KEzIDK+I8z7CgYPdLWqJsN9k0z/ggHRvsw473pfsj+HH04IrveGoMpgJbvCmVIV5eue7igBgb/i1nAvXrmtDdQaWFsI3z31DsTFgF4L994Lh4+4WmKzpsxgoUpvAqkYv6u1Mm1KbDaY8Sz8+y2nMe/cFTasu6mMOTRTgw7wytDW3No+EAxWXt6cRkGNEPV+o1QYLJRrTeAhIcTHPVI5BASul5kDIunfMQhKKphtDCV73lLw8YLSEmc1uWJhAlBfcqprKdVZkHjK6RPiJkGzZWUwbhx89olz+94psPMXaBvnWl0uoNkadLVcwvtj45H7KsjKrmbO1gxXS2r2pJYbqDVZ8fTyIKoZ5aALCFyMQirm4wntUPoqKUnO5jlDOI5Fi0AmheRkmDIFystdLbNZkl1ZS63egqdCSqy/Gwz609LgnnshIcG5/dBDsOQ7CPB3rS4X0WwNOsCgaB9mDY8BMaw4kMsPx4tcLalZk1ZmwFFrJchTTqhQXlegGdMz1IvXRsWCVMSanWdY0mU0LF7g7Ma3ezdMm+5qic2S3Eoj1FrwVMsI9nLxsty+/TBhAuzaCYjgtbkwb56zH/pNSrM26ABzBkXTq30gNqOFWVvSKBQKztSbjPMpayF+SloJKWsCzZyZA6Po2yEI9Cbm/HCErPsehBdnO9/c8BM8M9O1Apsh2VW1gIh2AZ54SFxoPjZthkmTISUFJDL4/Ct483VowjRqd6TZG3SNh4SPJ7RD6u1BXk41s7aku1pSs8TmcJBdaQSxiDA3zc8UELgeFFIxX0xohzrAk+LcSmavToF//wemTXPu8OnH8NHHrhXZjHAAp0r0III2PkrXGY+PP4FJd0FpIYSGwtq18KTgcYEWYNAB+kV6M2d4LEjEfH8ojx+ThaCX60VrspFb7YxejXeT2sYCAjdK91ANc0Y4+0Cs3pfJgtOVsGA+DB7i3OGlOfDDSpdqbC4YzDYySp1prW2DXNCUxWqDt9+G5551lvRt2wHWrYNxY5pei5vSIgw6wJwh0edrvZt5boNQ6/16KTFYyKw0gkxMV3eJXhUQaABeGBjFoM5BYLbzz9UnyNLZYdkS6NYNTGb4+6Pw8y+ulun25NXUUqYzgYeUqIAmNuh6Azw0DV55xekqGDoKfvwBevVqWh1uTosx6Bq5hC8mtkfupyQ/r4Y5CYLr/XrIqTBi0JpAISO8qW9WAYFGRCEV89+x8Wj8lRQUaHlh/Wkc4RGwciWEhjnzlh96CE6dufrBbmIyyowYTDakHlKCmjIHPS8P7n8Ali9xbo+fBGtXQdeGadHdkmgxBh2gb6Q3zw9xFpxZtj9XKDhzHZTqTWBz4K2SEahwo4IRAgINQM8wL14c6VyWW5uYx8LDBc7KcQu+BZUaivKd5UHPZrlaqtuSUVULtVbCfTyIb6pBf3Kysyb7ujXO7WeehR+WgbdX05y/mXFNBt1qtXL48GGys7Pr/nbixIlL2iK6C68Oa03P9oFgtDJ7cyp51YLr/Vo4nK8Di412AUpCNUKEu0DL47kBUQzq0gqHycYrCWmcqzTC7bfDDytAqYK0FHj6KaHl6hU4VawDsw1/HyV+qiaoGn7gIEyeDCdPAmJ461/w8UegFIJ2r8RVDbrdbmfhwoUcO3aMVatWkZKSws6dO/nll19Yu3Yt+/btu2R/kUiEWu26NViVTMJH4+JR+ymcbVa3Ca73ayGrwgAWO9G+SpTSFuW4cSs8Pd28f3QLRiEV89G4eFS+SorztTyzMRU7wLix8MZc505btsAjj0A921e2ZKpqTOCAQI0cWWM3/Vm2wln9LS0NfPxg3nx49ZXGPWcL4KrfikgkYsCAAdx///2o1WoyMjL4/fff+fvf/86kSZM4dOjQJc3YLRYL69evJzMzs1GF/xUDonx4ZlgMiEWsOJDLcqHgzF/iAAoqnV3WQv2ECPfGIjk5me3btzdJBzRXoNVq/3LbHbglVMNrt8eBTMyGo4V8d6TA+casWfDyy87Xy5fDq3NdptEdqTFZyaysBZmYXkGNPGH7+ht4+CEoLwMff/h+BfxjWuOes4VwTQa9Q4cOpKSkcOLECRQKBZ6enshkMjw8PDAYDJf0N3Y4HOh0Oswudlu9PCSaWzsEYjdaeXlLGvlCrfcrkldVS16NM3o12tXVn1owtbW16PX6Bu1F7g7U1NTw5ZdfMm/ePNavX4/NZmPNmjV89tlnLF26FLvdfsn+rv73P9s/kv4dzi/LbUrjbIXR+cZbbznrgAN88A6894HrRLoZlUYrmRUGkIhp31gpazYbzJwJj08HmwX69HFWgbtjVOOcz025kQH/VT9ptVpJT0+nW7duPPbYY+zZs4fq6mokEgkOhwOlUolE8kdPXLlczgMPPED79u3rLaohUMkkfDg2HoWPguzsal4QCs5ckVytiWKtCZFCQrtAIcK9sejVqxd33nknNpvN1VIalIqKCqKjo3nsscc4evQoBw4cIC0tjaeffpri4mKOHTtWt69YLMZoNFJeXo7VanWJXoVUzOcT2+MZqKKsSMcLm9NwOACxGL74AoaNcO44ZxYsWeoSje5Ghd5MtdYMHhLighph2aiqCh5/HD4+X+hnwCD48Ufo1qXhz+Wm2Gw2ysvL0ev19Tbq1zRDX79+PStXrmTv3r0MGDCA2NhYFi1axNq1a+nSpcslBt3hcFBTU1MvMQ1N/ygfZo90FpX4ITGPFYLr/bLk1Ziw6i0oPWW0a4ybVaAOnU7nagkNTnR0NHfccQerV69GIpFgtVoJDw9Ho9EQHBxMVtYfkeMeHh6kpqayZMkSKisrXaa5W4iGV0bEgETE2sP5LD563vXu7+fMUe/Rw7n9/HOwf7/LdLoLKaUGsNjwVsvxaegsmLwCGDMe5s93bk99CNb+BBERDXseN6e6upply5Zx5swZPOpZwvaqBl0ikTBt2jRatWpF//79ue2225g4cSKdOnViwIABjBrl3u6QOYNa07NdAOjNvLAp1elaFriE7DI9WGwolDI0QsqawHViNpuxWq3cdtttqNVqjh07hkz2x+9IKv0jItpgMHDLLbcwc+ZMAgMDXSG3jlmDohnQOQhMzhbMGeUG5xshIbBgAURGOltz3nUX/H7cpVpdzckSHVjtRHp7EKhqwGfE6dNwx2jYfz64+umZ8N1CCAhouHM0E/z8/HjmmWfo1asXBoOhXse4pnm9n58fQ4YMoWfPnoDzBu3Xrx89e/Z0+XrY1VDJxHw2oR1yPyUFeTXM2ZLmaklux9mKWgC6+qvQyFpmwJZA45Gamsr8+fORyWTU1tYSGhrKuXPnyMjIIDc3l3bt2tXtKxKJ3GbJQSoW8cnYeHwDPCkq0DI7IZ268N6uXWHJEtBonP3TH5sOJSWulOtSUitrwWIjLkCFj6KBUtZ27IBRoyD5BHgo4LPP4dMPwZVNX9wAm81Wb7t6U1y5PpHezBnmdL0vP5jHDycE1/vFpJQZwOGga7Aaqdi9B2gC7kd8fDz+/v6sW7eOHj16cM8999C3b19+/vlnevToQXx8vKslXpFbwryYNTIWpGLWJhUwPyn/jzcHD4bPvwCJFI4cgil/g+pq14l1ETa7g/wyA4hE+Hg3UBbMjz/CvfdCfr4zLW3+fHjqyYY59k1ME1QHcA9eGtKaLallHEkuZtaGVPpF+RApdBWjptZG9nlXY6iPcD0Erh+5XM4999xzyd8GDRrEoEGDXKTo+nh+QBQ/p5ax+2ghb2xNZ3isL7F+54NDH3wAKiph5jOw6xdnets337hWcBNTbrBQrjODVEx0QxSdmvtveO/fYDRCdBtYOB+GDr7x4wrcHDN0AKVMzGfj41H7q8jL1/Ly1gxXS3ILygxmKo0WUMiIELqsCdyEyCUiPhgTj8ZfRUG+lpmb/pQR8+wMePY55+v58+HFF5tepAvJ15rIqTGBUka/cO/6H8hshtlz4I1Xnca8czfYuE4w5g3ITWPQAfpG+vDMUGet9+8P5LLsmOB6TynVU6W34OEpI1bwWAjcpPQI0/Dabc6CMxuPFPBtYv6lO7z/Ljz8sPP1u+/C+x82uUZXkVNpxKQ3I5OLifSt5zOiogImTYb333Nu33knbN8GnTo0nFCBm8ugg7PgTN+OQVBr5dUtaeRW1bpakks5W2kEg4UATxkRPvVLlRAQaAnM6B/B4E6twGTlxYR0Mi8UnAGQSuGzz6BPX+f2a6/Aqp9cI7SJKagxgcmKj5eCQE09nhFns2DKFNi00bl97xT4/ntoFdSwQgVuPoOukkn4YGw8Cl8l2TnVzLrJ26xmlRnAbCPYT0UrtWDQBW5ePCRiPhofj8pfRXmhluc2pmJ3XLSDWg1Ll0LnrmCqdZYn3bPHZXqbipRSAzigo78Sjfw6TcahJLj9Dti+3bn96lxYtAiUwvJeY3DTGXSAfpHezBnhjHpflZjH98cKXS3JJdgdOMteSsSEqmW4eQaigECj0z1Ew+ujYutqvS868ifXe1ysszubvz8Y9DBtGriwb0VTkFKqB7uD1j4KpNfzkEhIgLsmQXoKiMTw3ofw1utCt7RG5KY06ACzBkbR53yt91mb02/KNqtGq51zVbUghm7BGlfLERBwC54ZEMnA8673lzalk15uvHSHDu1h5Urw8oKzZ+GuyZCbf/mDNXPMVjsZJXoQiWhzPc+Ir7+GiROhINdZqGfjRpg1s/GECgA3sUH3lEv4ZEI7ZD4KCnOreX5zKo6rf6xFUaI3c7rMADIJ8ULJVwEBwOl6/3x8O7wDVZQWaZm95Xyt94sZPhwWL3aurZ84Bg+1zJar56pqqTBawENCqPc1LMnZbPDOu/Dkk86o9ug4WPkjjLmj8cUK3LwGHeDWcC9eHel0r/2YlM+Km8z1XlBdi9lgAbmEUCFlTUCgji4hal4a4Sw4sy4pn/mHLzMDv/NOeH2u8/Wu7TDtUVrarCC7qpZqoxWZSka011UMus0Oj06Hl14Eux0GD4MtG2HggKYRK3BzG3SA5wdF0zM+AAwWXtiYRu5N5HrPrzGB1Y6vWk5oQ9ZnFhBoAcwcEMnQrq3AbGNuQjppZZepr/3qKzBrjvP18u/hzTeaVmQjk1JpxKG3EKiR0zbgL7x4ubkw+W74boFze9QYWPkDtG935c8INDg3vUH3lIn5YmI7FP4qCgu0zE64eWq9/16gBZOVaF8FYVcbfQsI3GTIJWI+HBuPd4Dz2fDC5VzvAO+9A3ecdynPnQtfftWUMhuVs8V6MFvReCkIUl9h0J+RARMmwro1zu2nZ8CmtdDKtc13bkauyaBXVFSwadMmdu/ejc1mw2azsX37dvbu3Yvdbm9sjY3OreHezB4WAxL44UAey24S13teVS1Y7IT5KFHLJVf/gIDATUa3EA2v3hYHEmfBmW+S8i6/4/LlMGyY8/WMp+Gn9U0nshGpNJhBJCLaywPJ5SLcf9sPkyfD70ed26+8Bp9+AjLB4+cKrmrQbTYbixYtwmg0kpycTEJCAuvWrSM7O5ujR4+SkJBwyf4ikQhv7xsoD+giXhoSTZ/zBWde3JxGTgsvOGNzOMirrAWxiBBh/bzJ0GiEbILmxtN9I5yud5ON17ZmOFM9/4y3tzO/Orq1MzDs0UfgwKGmF9uA6C12kot1IBHRo9Vl3O0/rXNGsh8/Dko1fLMQ/vVm0wsVqOOqBt3hcHDnnXdy991306VLF06dOkVmZiYPPvggd911FydPnrxklm42m/nyyy85frx59Q9WSMV8OCYeL38F+Xk1zNnasgvOFGnNzipxcglthaYsTcK+fftYtmwZEknL84aYTCYyMzMxm82AcyKQlZWFxWJxsbIbx0Mq5qPx7VD7Kykt0DJjQwq2y/neIyNhxQoIDoHqSpg0CVJSm15wA2Ew25wTG5Hof7Ng5n0DDzwAZaXg4+9M43vsEdcIFajjqgZdKpUSExNDcnIyO3fuZMyYMWg0Ghznf9Amkwmr1frHAcViYmNj8fPzazzVjUTfSG9mDo8FsYiVB/NYcrTlut6LDRYKtSaQS+gSrHa1nJuC4OBgoqKi6u6dlkJxcTEffPABGzZs4Msvv6SyspKlS5eyatUqvv76a2pr//B2ORyOZjmg6Rqs5o3RbUAmYfPvhSw8XHD5Hfv0htWrnZXQCvPh/6ZDTU3Tim0girUmKrRmUEiJuNB9zmyGF19y/ruMOujWDXZsh3FCWlpDIZFI6v2MuKY19CNHjpCQkMBzzz1Hp06dKCsrw2w2YzKZUKvVSKV/dGGVSqUMGzaMiIiIeglyNXMGRdOvUysctVZeSWi5td5zK41YdGZQyYgOULlazk1BmzZt6Nu3b4uIO7kYrVbL4MGDmTlzJjabjZUrV6LVapk9ezbgfH5cQCaTUVpayqlTpy4x9M2BJ/tGMqhTINTaeHFzGhkVl4l6B+jfDz76CEQiZ2nYe+5xdhdrZpws1mE32/D0lBEQ6AM6LcycCe++49yh30BY/RP06O5aoS0Ek8nE6dOnKSkpQVbPGISrGnS9Xs+nn35KeXk5K1eu5MCBA/Tq1Ytvv/2WNWvW0LdvX8TiPw7jcDgwGK7wQ28GKGVi/js2HqWvgrzcGp7b0jKj3nMqjGCz462QCgFxTYixGT7Yr0ZcXBwDBgzg6NGjWCwWwsPDCQpyNt7w9fWloOCP2axUKqWoqIj9+/c3u+eEh0TEZxPaow5SUVGs4/mNaZd3vQNMnw7vv+98vW0bPPN80wltIFLLDWCyEhoZTFhlIYy7E7780vnmlPth9Y8QG+O7uyagAAAe+UlEQVRakS0Io9HIgQMHKCwsvGSSfD1c9VNyuZx//etf6HQ6zGYzQUFBhISE0LZtW2QyWbOdif8VfSK8eHlULK/9dIbVSfksax/I/d1DXC2rQUkrdxr0AWFeBAk56AI3SFJSEr/88gtPPPEEmZmZHD58GHAO8FWqPzxARqORbt268dhjj7lK6g3RJVjNP0fGMnvVKTYczmdB+wD+cWv45Xd+/nk4kwoL5sP8r8DPB955u2kF3wCplbUg96RrQSp+k9+FQ4nONx5/Gj77GCQ3fdZzg+Lj48Ojjz6K0Wis98D/qt/IBaPdvn17unbtSkiI07DFxMS0SGN+gRcGRtO7fSAYLbywKY3sFuJ6twMbzpSyIa0MRCK8lFKkYqEri0D9OXr0KG+//TZt27YlLS0NlUpFUVER+/btIzs7m06dOtXtKxKJ6gLnmiszB0QxpIuz4MwrW9JJLf0LT8NnnzprvQO8+x/4el7TiLxBLECqDm7NOcwH7z3mNOYSCXz8CXz5qWDMGxGz2Yyonp2yhG/lCiikYj6f0A6Fn4righpmbW7+rnezzc6zG1KY8HUSOYU68JSz4Xgxi1pw8J9A4+Pp6cnEiRPR6/WcOXOGgIAA7r33XvLy8hgzZgxRUVGultigSMUiPh4Tj1+QJ2VFOmYnpF05iEmpgAXfQv/+zu0X58DmzU0ntp5UOWDk/s38mPBvogwV4OUHX30Fz8xwtTSBv6B+jvqbhJ7hXrw0PIbX155hVVI+yzoGcn+35ut633O2ks92ngWpGCTOEaC+1sqTq07SI1QjRLsL1Iv4+Hji4+Mv+Zu/vz9t27Z1kaLGp2uohhdHxTF75Uk2HC7gq7YBPNHnCq53H29nI5cJE+D0afjb32Dbduhza5NqvlYcgN87H/DOty+B3QYxrWHBYhgyyNXSBK6CMEO/CnMGR9O7g9P1PmdjKlmVzdf1fjivBhwiuCiIEZkYY42Z4wVa1wkTEGiGzOwfyYhuwWC28ea2K9R6v0BcHHz3HfgHONPYHv07nM1qOrHXiMVgoHLmbCQvzwK7jSSfSN576iMsgjFvFggG/Sp4SMV8Ni4eL38VBQVaXtzafF3vJhwgwvnfBRwOkIlRKQVnjYDA9SAVi/jgfK334gIdz266ShGZnj1hwQJQquB0sjOdrbSsacReC1otsocewu9jZ3T+lta3csf9HzGnxJfXf85wsTiBa0Ew6NdArwhvnh8RCxIxPx7MZ9HRKxSVcGOWHyvk2wN5Tn+a2eY05A4HGKy0be3DgMjmV65XQMDVdA1W88/b24BMTMLvhXx96Aq13i8wYTx89oXz9ZHDzjXpiwpzuYxz2TBlirMoDrAmdgBTJ7xCmXcgGHQsP1yA0dKy6ie0RASDfo3MHhjF4M6twGrj1YQMnlqfwls/Z3Ig372rQNWYbfzfhlSmLjlOfn4NPv5K4sO9wO4Ai51u7QNYPbUrrTzlrpYqINAsebpfBMO6BoPJxisJ6aT/lesd4NGHYe75NqsrVjhz1l0Z+X/8JNw+BrZsAeCtHn/j3jtfo0rlBWYjiERYxCJqrYJBd3cEP+s1opCJeWNULMMyKygoM/DFL2fB5uDfu86y5L7O3NMl2NUS/4dDeTXM2ZTGnpPFYLfTtWMrvp7YnhhvD9JK9Zgc0CNUg49C+BkICNQXmVjEJ+Pj6ZdTRUWRjmc2prLlkatUT3v9n1BVCR9/DAsXQkQ0zH2tSfReQkKCcz2/sACTRMZrvR7k/aEPOoPhLObzHj07t0R44yssy7k9wgz9Oqg0WpzpKRIReEjAU4ZJZ+aFzWlUGtyrCcXSE8WMX3CUPccKQSnl7yPj2PZwN/qEaQhSyxnQ2pfhMb6CMRcQaAA6tVLzxm1xIJeQcKKIt3ZmsTWtjKzKvygQ8vbbMHyk8/W/3oR585tG7AWWLHE2kCksoEzpzT3jX+P9oY+AzQxmE+jMYDTTtUMgn4xpuRkLLQnhaX4dbEktx1FrQ6SUIpFLsJpt4CGlsLKWY6V6hkb5uFoilbVWXkpIZ95vOaA34xvoyb8ntOPxnqGuliYg0KJ5ql8k29LL2fZ7Ef9MSEMsEuEpl/B/AyN5e2Tc/xZwUiph2RKYfA/8tg9mPAXhoTBmTOMKdTjgnXfhjblgMpGtasUjo59lV0w/ukR68Er/NmiNFn7PrSbQT8k/eoURohaW5JoDgkG/DvxVMnA48FXJCPNTkpxXAyIRVrONj3efw/+2OJfmcicX6/i/dSnsP1EEQM+uwXwxNp5bw71cpklA4GZBJhYR769im8MBDrA7HGj1Ft7fkEqcj5J/9L5MnnpwMCxeBMOGQm6ucz19wwa45ZbGEWmzwxMz4BtnYN6vAe2ZOmYWOSEx3N/dn/fHtCH4QjzNrWGNo0Gg0RBc7tfBuHYBiD1lVFQYSc6pPh9YZgOrnQ2J+fT55ACPrjrFiUJdk2ubf7iA4V8msf9YEXhIeWRYDAkPdxeMuYBAE1FjsrItvQKk55sdiUUgE4NYzLozpVf+YFwsrFkDISGQnw93T4HTKQ0vsLDImSp33pj/HHYLt0+YS05cez6+K46l93T8w5gLNEsEg34d9IvyYdG9nQkPUIHdgVgqZnCXVrw4Lp7gYDXGKhMLd2TS69ODPLb6FL83QQR8qd7CM5tS+ccPyZQWa/EKVrPgga4snNSBAGF9XECgyTBZ7ZTrzeBwENNKTZCv0jnol4vZc66KY4V/UbypZ0/4bonTDX823RmoVl7RcOKys2HiRFjzEwBfdxrNbXe+SXTPeHZPjeeZXsJsvCVwXU98s9mMXO4cwVVXVyORSFCrb65yoQ/eEsKINv6kFGnxU8vpEKRGLhExo18EX/yWy+JDeeQX6/h2+1l+OFrIlG7BPN4/ilvCNA2u5VixnidWn+LAqRKQiOjZKZiPJsQzIELIKRcQaGoCVHIGtvZlbYGWMq0Jq+18fXebA0NlLUO/SOT+HqH8o28EnS+3NDdyhHNt+5ln4OBv8NDDsGY1yG9w1nzgIMx4Gs53wPtXp0m8NnI6dw5qzTe3RRGgFLotthQkc+fOnXstO65fv54dO3bQp08fjh49ysqVK0lKSiIwMJCAgIC6/RITE+nWrRsaTcMbMHdB4yGhtb+KYI0HkvOBLhoPKcPi/Lirayu81HIytWbKS/UczapieXIxmZVGWvuraNVAwSXzk/J5eGUyaRkV4CFl2ogYlt3TkbZ+qqt/WMBllJSUUFlZSefOna/5M/XtvHSjNMZ5tVotJ0+epF+/fg1+bFcjEkFrfxW7c6ooLNBhMVlBJCIuygeFTExpsY7EzAp+OFlCTpWJuAAVAX92cffuDR4K+GUHpKeBVgu3315/UZsS4J67ITMTMxKm9J/B4gmP8PadHfhoWASeMsmN/aMFGpwDBw7QsWNHvL2vf2J2TQb9yJEjrFmzBofDwdChQ1m4cCF/+9vfCAwMZO/evfTu3btu33379rF161Z8fX0JD79Cs4IWjI9SxtA4f+7uGoynRkFKTS2VZXp+P1vJwuNFZFXWEuWrJFjjUa/j68w2ntmSzusbUzFUGvEL8+KTuzrwxrDWKKTCCoo7s3XrVpYsWULbtm3p2LHjNX9OMOjNhzAvD8Z0DCIkQEW3SB8eGBDJZ2PaMrV7KDKljDNVJipL9SRlVrD4RBH5NWZi/JUEXmzYB/SHjAxIToZDh0AsgcGDr1/M/Pnw+ONQVUG52JOxw2dxZsqDrJzSgantfF32uxL4axrdoHt7exMdHU1RURE9e/bk6NGjDB06FIlEwqFDh+jbty8SiXOkl5iYyMCBA+ncuTMKheK6BbUUvBXOGfvU7iGovTxIr6qlqtzIscwKlpws4Vy5kVBvBaFe127YD+XV8NDyZNYcyAObg+7tA1kxtQvj2wVc/cMCLsfb2xu73VltqyXO0Ldv347VaiUgIIDExER++uknjEYj0dHRdfvU1NSQmpp6ySSgpeGnlDEg2pdR8QH0CtWgkIrxUUoZ2dafe7uF4OEpJ6WqluoyI0np5Sw+WUxBlYkIX6XTgycSOVPXTp2ClBTYvQsiWsMt3a5NgNUKb74JL7wAplqOq0MYOflfhE//GxsmRNPJ/+Z9LjcHDh8+THx8fL0M+jVN6Tw9PZFIJNhsNkQiEVarFYlEgkgkqvt/3QHFYtq0aYOPj+tzst2BUC8P3hgZy8Fn+/Dq+HZEhHlhrKrl21/OMuyLQ0xbeZLjfxUsg7NY03fHCrltwRF+TS4GpZQnbo9j12M96B3acpc2WhqBgYFER0dfuXd2M8VisbBp0ybee+89SktLqaysZPPmzQwZMoS9e/eSnp5et6+HhwdZWVns2LEDna7ps0FcTbSvgnfvaEPSs3144Y62tAr2RF9u4IufMxj8+SGeWHOaU8V68PCAb76GTucHfk8+DpuuoY96dQ089xy84Swt+7NXWx5+6B2mPjeFjaPDaaUSAmXdFb1ez86dO8nMzMTDo34e3Gv+ds1mM1qtFqlUilKpZPv27VRVVREdHY1UKv2ffQUuJcJbwVu3x/H3PuEsTsznq4O5FBdqWbQrixW/FzHllhCeHxxFG38Va0+VsDu7Cj+VnEER3mxKLeWL3efAaMG3lZq3xrblSSEqtVlisbhXRcGGIiYmhjvuuAOJRMK5c+eIjIykS5cunDhxgtOnT9OmTZu6fS0WCzqdDpvN5kLFrqW1r5L3x7XlH33DWXgoj/lJ+ZQX6fhqeybLjhQytUcoM0a2pf2W9TB2PJw4CQ8+CLt3Q5creHfKK+C++2F7AgBfBPdlycy3+OCRwQwPFAy5u2O329HpdDf0jLjmbzksLIwRI0YAMGXKFLZt24ZMJmNMY1c1amFE+Sh4fVQsf+8TzryDeXx7MJfCIh2LfznL6uRibgnz4tesSuwGC0hE/EcmAasdLDZ6dQvhy/Hx9AwRZuUC7oNMJqNDhw7s27evzkhfvNx28QPKZDIRHx/PxIkTm1ynO9ImQMV/xrTlH30j+OpALgsT8ykv0fH1zxksOVrIQ6M68MSH8+k0ZTSUVcBDD8KG9RAReemBTp2Gx/4OBw7gAD5uP4Yjr7/DsomdaFO/yZ5AE6PRaBg/fjw5OTmYTKZ6HeOao6hatWrFwIEDAafr8P777+fee++96dLWGoowLw/eHBXL0Zn9eG1COyLCNOiqatmbUordZgelFGQSZ5lGMTwyJJptD3UTjLmA22IymbBarfj7+5OdnY3FYqG8vPySNXSRSCR48C5Daz8l741py+/P9WXW2HhatVJjKNfz1fIk+h+RMOOOF9BLPeDYMZh8D0fTi1mda+RYlRXLvl9h3Fg4cIBq4OVRj1O7fDGL7xWMeXPEbDbXO25GCIt2McEaOW/eFse+p/vQv1OQ849ikXPhHJwBMnZ4oEcovkKhGAE3JiQkBE9PTyIjI4mKiuLTTz9Fo9HQpUsXV0trNkR4K3hvTFt+ndGbOWOdBatqsor5LHQwM4Y97twp8RA54/7G3Z8f4KNnPsR0192QlUUeHmx89DWGLP6Il7oFCHW9b0KE79xNiPJVMLFjIL+dKgaHBIVcgkQsQm+wgFiExd6yAqkEWh5333133eupU6dSW1t7U2e63Ahx/ireGdOWx/pEMP9QLt8kFbGw4zjaleUz6+gqJqbuZNd3RXQuzkCNmTKlPzv/+QmDX5hKlPBUv2kRvno3on+kNyq1BwatiVoAEWCwEB8fwC3BgqtdoHkhGPMbJ9ZfyTt3tOXxvpG8sz+f2fLHUZn0PHlqC0OKTwOQ6N+arx+ey4cvTkXILbq5EVzubkTfSB8WTOlEu4tKt3ZrH8DSKZ0I8BTKMwoI3KxE+Sr4fEwM4cGezBj2OMvbDqTGN5Ctsb257a63WRfbXTDmAsIM3d2Y0iWYUW38OVKoQyyC/hHeQgU4AQEBJIjoG+jBqgwpU8e9TLfaMjLl3mitCqb6CVXfBASD7pb4KWWMjPF1tQwBAQE349XhsSQX6kjJ03FMFgw2G22iVLw6IsbV0gTcAMGgCwgICDQTugSr2Tm9JxtOlXKgUEu3QBX33RJKK5WwJCcgGHQBAQGBZkWIxoPpfcKZ7mohAm6HsDgrICAgICDQAhAMuoCAgICAQAtAMOgCAgICAgItAMGgCwgICAgItADqbdAzMzPJzc297Hv1LSzfFFRUVFBaWupqGVckPz8fg8HgahlXpLKykpKSElfLuCL5+fno9XpXy7gi7nxvCAgING/qZdB37tzJTz/9xNKlS0lKSrrkPYvF4tZ9jg8ePMiuXbtcLeOKrF69muzsbFfLuCJJSUns2LHD1TKuyJo1azh79qyrZVwRq9WK1Wp1tQwBAYEWyHWnrZnNZn799VeeeuopioqK2Lp1Kz179qybecTGxvLdd9+h0WjccjZSVlaGzWYjKyvL1VIuS05ODuXl5Xh6erpaymUpLy/HYrFc0TvjanJycigpKWHLli2ulvI/2O12qqurmTBhgqulNAlmsxm5XO5qGdeNyWRCLpe75fPL4XBgNpvx8HDfvqhmsxmZTOa2189isTTL3+W1cN0Gvba2Fo1Gg0qlQq1Wo9frsVqtyGTOwgYTJ05k9OjR2O32BhfbEEilUkQiERaLxdVSLotcLsdqtQrXr540h+t34V5pySQkJHD8+HHi4uKYPHly3d/tdjsSicSFyq7O2rVrmTx5MlKp+5XpsNlsrF27lilTprhayhVZt24dEyZMcMtBh8PhYM2aNW59/SQSSb2fX9f9i5XL5dTW1iIWixGJRHh4eCAWX+q5d8cv8s+44816AXd/4IFw/QSuTEZGBomJiUyfPp3Fixdz4sSJup7oarWavLw8FixY4La/oYSEBEpLS/Hy8nK1lP+hpqaG3377DZPJ5GopV2Tr1q0UFhbi4+N+7WJ0Oh179+512+tntVrJyclBrVbX6/Mih8Nx3Y22FyxYgFwuR6vVEh4ezvjx4+t1cgEBgb/G4XC4xHV5I+fds2cP586d46GHHmLZsmWoVCruuuuuuvczMjIoLCx024GXUqmktraWejwaGx2RSIRCocBoNLpayhVRKpWYTCa39JK5+/Wz2WwEBwfTpk2ben2+XkPk++67j99++43IyEj69+9frxMLCAi0TC547y7w54FBXFwccXFxTS1LQKDFU68od5VKxciRIxk8eLDbus0EBARcQ0hICOfOnaOwsJCCgoJ6zzYEBASuD8ncuXPnNsSB7HY7W7du5ddffyU4OBiNRtMQh20QTp8+zcaNG8nOziYuLo6qqip+/PFHcnNziYmJcRvX365du9BoNCgUCjZt2sTBgwcJCwtzecR7SUkJa9asIS0tjZiYGPR6PT/++CPnzp1zi+un0+nYsGEDR48eJTw8HKVSyaZNm9i/fz8hISH1Xo9qCGpra9m9ezfR0dHYbDY2btxIYmIi4eHhqFQqtm3bxt69ewkKCrrimq2rooXre14/Pz8MBgN79uwhNjaWAQMGuGXEs4BAS6PBKsX98ssvpKenExoayvfff+82ueh6vZ6NGzfSsWNHCgoK2LRpEz/88AMhISFkZ2e7TU51YmIin3zyCSaTiR07dpCfn4+/vz/Lly936VqU1WplxYoVxMbGIpFIOHXqFCtWrCAwMJD8/Hx+/vlnl2m7wPr169Fqtfj4+PDDDz+wc+dOcnJyaNWqlUuvX0VFBf/9739ZsGABYrGYbdu2UVRUhK+vL+vXr2ffvn2kpKQQGRnJ999/36Ly00ePHs2zzz7LxIkT/ydoVkBAoHFosDstLS2NQYMGcdttt1FbW0thYWFDHfqGkMvlTJ8+nd69e+Pj40Nubi4mk4lRo0YxePBgUlJSXC2RkpISTpw4wfDhw7FarZw9e5ahQ4cyduxYampqqKiocKm2srIyMjIyMJlMtGrVipqaGkaPHs3QoUNJTU11mbYLhISEUF5eTm5uLv7+/mRlZTFkyBBGjx6NTqdzWWVAo9FInz59aNeuHWazmbNnzzJ8+HDGjRtHaWkpe/bsYciQIYwYMQKLxUJBQYFLdDYVdrudw4cPc+7cOVdL+R/y8vLYv38/1dXVgHMwduDAAXQ6nYuV/YHNZqv7jVitVpKSksjLy3OxKieVlZUcOHCAysrKS7a1Wq2LlTkxGo0cOnSo7vrZbDaSkpLIyclxsTJn3v6FZ5TFYiExMbHue3U4HBw5cuSa66Y0mEGXy+V1+bUXih+4AzKZDB8fH9atW0dRURHjx4+/pKiAq3WazWaWLl1KSEgIYrGY7Ozsulxlu93u8mup1+spKiqiR48eWK1WVq5cibe3N/BHkQZXU1NTg0KhQC6XYzQasdlsbvFbDAsLo3fv3jgcDux2Ox4eHnU5phdm4xdSPB0Oh9um0jQUK1as4ODBg3z//fecOnXK1XLqOHnyJPPnzyclJYVvv/2Wc+fOsWjRIk6cOME333zjNhHRK1as4IsvvgBg+fLlJCUl8d1335GRkeFSXeXl5SxcuJDs7GyWLl1Kbm5u3fWbN2+ey0tZW61W5s2bR1paGosWLeLcuXOsWrWKpKQklixZ4tJJSXFxMbNnzyYhIQGAZcuWceTIEb777jsKCgpYu3YtBw4cYPny5Zw4ceKqx2swgy6RSMjPz8dkMiESiQgICGioQ98QdrudH3/8kZycHJ599lmioqIoKSmhtraWsrIyAgMDXarP4XDg6+tLfn4+iYmJZGVlYbVaKSoqQqfTIZVKXZrP6evrS0hICB07diQ2NhabzUZVVRUGg4Hy8nKXf88Oh4OTJ08yfvx4Hn74YbKysqiurqa4uBi9Xo9EIsHPz89l+oxGY11lKofDQWFhIVqtFrVaTatWrcjOzq4z7q7+LTYmFRUVpKen89RTTzFw4EB+++03V0uqQ6FQMG3aNKZNm4bJZGLjxo0EBQUxffp0RCIRp0+fdrVE0tPTOXPmDOHh4RQVFZGdnc0TTzxBz549XX4tjxw5goeHB9HR0QwZMoTU1FTUajXTp09HJpORnJzsUn0OhwO9Xk/fvn3RaDQkJydz7tw5nnjiCfr27evS65ecnIxMJqtLA8/NzeXxxx/n1ltvrYtbeuqppxg2bNg16WywEPWRI0eyYsUKfv/9d3r06OE2RRlKS0vZtGkTrVu35v3332fo0KEMGTKETz/9FIfD4fKKQR4eHkybNg1wGs9+/fpht9tZvnw5e/fupXfv3qhUKpfpCwgIoFevXnzwwQdYrVYefPBBMjMz+eyzzwC4++67XaYNnIFbQ4YMYfny5UilUgYMGECHDh34/vvv+fXXX+nVq5dLgwolEgkBAQGIRCJGjhzJqlWr2Lt3L4MGDaJ9+/Z8++23HDt2jG7durllIY6GQq/X4+/vDzizZC64tt2BCyl0K1euJDAwkLCwsLq4C4VCQVlZmSvlUVlZyc8//8y4cePIyMigqqqqbiDtDtcyPz+fnJwc/P39KSwsJCQkhNDQUMB5/crLy12qTyQSoVQqWbx4MQDdu3evG+S7+vqNGDECq9VKVVUVRqOx7nvVaDTk5eURHR0NOHP7a2pqrnq8BjPoERERPP300xiNRpfOiP5MQEAA8+bNq3PFqtVqlEolXbt2RalUolQqXS2xjkmTJiESiRCJRDz99NOYTCZ8fX1dLYtx48bRr18/FAoFnp6ehIaG0qlTJzw8PFw62LjAgAED6NKlC1arte6399RTT7nF9fPz82PGjBmIRCJiYmJ46qmnMJvNdbqefvrpS4xdS+XiB9KF+9Cd+OmnnzAajTz22GPs2rWrbg3TZrO5fKCVnp5OdnY2JpOJU6dO4evrW7cMYLVaXX4tJRIJ3bt357777uPTTz8lLS2NDh06AM7rd2GJzlVkZGRgNpv517/+xbZt2+qyicA9rp/ZbMZut6NQKOpiDsxmM0FBQXWdI6/1nmmwtDVwrle7k4EEZ5GLC7o8PT3r1laVSqXb1dS+YMzB/a6lSqW6JPbA3a6fh4fHJdfLna7fxVHecrn8El1SqfSqg6LmlrZ2OZRKJcnJyaSlpXHixAkGDhxYN4tzNZs2beLbb7+lR48eZGdnEx4eTmJiIkVFRRQVFTFmzBiXlrMODAykR48eaDQaysvLmTx5MqdOnSIzM5Pk5GSGDRtGUFCQy/RpNBr27dtHWVkZpaWljB07lkOHDlFcXExBQQFjxoxBoVC4TJ9IJOLQoUPodDqSk5MZPHgwVVVVpKamkpyczJAhQwgODnaZvlOnTqHVaunTpw+HDx8mKyuL5ORkJkyYQFlZGSdPnuT48eP069eP8PDwvzxWvUq/CggINA3NsfTrldDpdCQmJuLv70/Xrl0b9Ng3wrlz5zh79mxdd7h+/fpRWlrKmTNn6Ny5MyEhIa6WCDhnaSUlJYSEhFBTU0NiYmJdfIuryczMJCMjg06dOhEWFkZ2djapqal06tTJLQZuBQUFnDx5kqCgILp164ZWqyUpKYnAwEA6d+7sUm2lpaVYrVZCQkKoqqri8OHDdd+rwWDg0KFD+Pr60q1bt6seSzDoAgJuTEsy6AICAo2LUPFBQEBAQECgBSAYdAEBAQEBgf9vz45pAABgGIbxZz0KPafIJpEjAYIOAAGCDo/52MBK0AEgQNABIEDQASDgAHjB71Aa096BAAAAAElFTkSuQmCC","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 946px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 473px; transform-origin: 332px 473px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 21px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Here's an </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Inscribed_square_problem"><span style=""><span style="">unproven conjecture from geometry</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">: Every simple closed curve in a plane contains all four vertices of some square.</span></span></div><div style="block-size: 243px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 121.5px; text-align: left; transform-origin: 309px 121.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="313" height="237" style="vertical-align: baseline;width: 313px;height: 237px" src="data:image/png;base64,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" data-image-state="image-loaded"></div><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 31.5px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">It's kind of remarkable. As far as we can tell right now, you can put at least one square on every single closed curve. Inspired by this, I made a simple discrete Cody-fied version of the problem. (And by the way, I'm not claiming it's mathematically equivalent...)</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Given a list of points in [x y] format, return four indices into that list that form a square.</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 160px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329px 80px; transform-origin: 329px 80px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">xy = [ 29    13</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       41     7</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       53    16</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       58    48</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       80    41</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       78    85</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">       46    80</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 329px 10px; transform-origin: 329px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">        7    46 ]</span></span></div></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309px 21px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Then the answer would be the indices given in ix. These indices point to the rows that contain the four vertices of the square.</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 20px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 329px 10px; transform-origin: 329px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">ix = [ 2 5 7 8 ]</span></span></div></div><div style="block-size: 237px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 309px 118.5px; text-align: left; transform-origin: 309px 118.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" width="500" height="231" style="vertical-align: baseline;width: 500px;height: 231px" src="data:image/png;base64,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" data-image-state="image-loaded"></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 21px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">You can return the indices in any order that honors the cycle around the square, and the answer is not necessarily unique. The test suite just verifies that what you return is indeed a square.</span></span></div></div></div>

Solve

Solution Stats

27 Solutions
9 Solvers

Last Solution submitted on Jun 22, 2021

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 1 Nov 2020

Your test suite just checks whether a quadrilateral has equal sides, but that's not enough to form a square: rhombuses also have equal sides. Therefore, the test suite should also check a solution's angles.

PS: A test case filled with rhombuses and a single square on the curve would be instructional too.

Problem Recent Solvers9

Problem Tags

geometry

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 46565. Find an inscribed square on a closed curve

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers9

Suggested Problems

More from this Author50

Problem Tags

Community Treasure Hunt

Problem 46565. Find an inscribed square on a closed curve

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers9

Suggested Problems

More from this Author50

Problem Tags

Community Treasure Hunt

Players