(Gap/S)ETH Hardness of SVP. Aggarwal, D. & Stephens-Davidowitz, N. In *STOC*, 2018.

Paper abstract bibtex 82 downloads

Paper abstract bibtex 82 downloads

$ \newcommand{\problem}[1]{\ensuremath{\mathrm{#1}} } \newcommand{§VP}{\problem{SVP}} \newcommand{\ensuremath}[1]{#1} $We prove the following quantitative hardness results for the Shortest Vector Problem in the $\ell_p$ norm ($§VP_p$), where $n$ is the rank of the input lattice. $•$ For "almost all" $p > p_0 ≈ 2.1397$, there no $2^{n/C_p}$-time algorithm for $§VP_p$ for some explicit constant $C_p > 0$ unless the (randomized) Strong Exponential Time Hypothesis (SETH) is false. $•$ For any $p > 2$, there is no $2^{o(n)}$-time algorithm for $§VP_p$ unless the (randomized) Gap-Exponential Time Hypothesis (Gap-ETH) is false. Furthermore, for each $p > 2$, there exists a constant $γ_p > 1$ such that the same result holds even for $γ_p$-approximate $§VP_p$. $•$ There is no $2^{o(n)}$-time algorithm for $§VP_p$ for any $1 ≤ p ≤ 2$ unless either (1) (non-uniform) Gap-ETH is false; or (2) there is no family of lattices with exponential kissing number in the $\ell_2$ norm. Furthermore, for each $1 ≤ p ≤ 2$, there exists a constant $γ_p > 1$ such that the same result holds even for $γ_p$-approximate $§VP_p$.

@inproceedings{ASGapETH18, title = {{(Gap/S)ETH} Hardness of {SVP}}, abstract = {$ \newcommand{\problem}[1]{\ensuremath{\mathrm{#1}} } \newcommand{\SVP}{\problem{SVP}} \newcommand{\ensuremath}[1]{#1} $We prove the following quantitative hardness results for the Shortest Vector Problem in the $\ell_p$ norm ($\SVP_p$), where $n$ is the rank of the input lattice. $\bullet$ For "almost all" $p > p_0 \approx 2.1397$, there no $2^{n/C_p}$-time algorithm for $\SVP_p$ for some explicit constant $C_p > 0$ unless the (randomized) Strong Exponential Time Hypothesis (SETH) is false. $\bullet$ For any $p > 2$, there is no $2^{o(n)}$-time algorithm for $\SVP_p$ unless the (randomized) Gap-Exponential Time Hypothesis (Gap-ETH) is false. Furthermore, for each $p > 2$, there exists a constant $\gamma_p > 1$ such that the same result holds even for $\gamma_p$-approximate $\SVP_p$. $\bullet$ There is no $2^{o(n)}$-time algorithm for $\SVP_p$ for any $1 \leq p \leq 2$ unless either (1) (non-uniform) Gap-ETH is false; or (2) there is no family of lattices with exponential kissing number in the $\ell_2$ norm. Furthermore, for each $1 \leq p \leq 2$, there exists a constant $\gamma_p > 1$ such that the same result holds even for $\gamma_p$-approximate $\SVP_p$.}, url = {http://arxiv.org/abs/1712.00942}, booktitle = {STOC}, author = {Aggarwal, Divesh and {Stephens-Davidowitz}, Noah}, year = {2018} }

Downloads: 82

{"_id":"za5sYpy5BMwWfCJp4","bibbaseid":"aggarwal-stephensdavidowitz-gapsethhardnessofsvp-2018","downloads":82,"creationDate":"2018-05-30T23:17:50.397Z","title":"(Gap/S)ETH Hardness of SVP","author_short":["Aggarwal, D.","Stephens-Davidowitz, N."],"year":2018,"bibtype":"inproceedings","biburl":"https://dl.dropbox.com/s/26018h26wgh5c2o/bibbase.bib","bibdata":{"bibtype":"inproceedings","type":"inproceedings","title":"(Gap/S)ETH Hardness of SVP","abstract":"$ \\newcommand{\\problem}[1]{\\ensuremath{\\mathrm{#1}} } \\newcommand{§VP}{\\problem{SVP}} \\newcommand{\\ensuremath}[1]{#1} $We prove the following quantitative hardness results for the Shortest Vector Problem in the $\\ell_p$ norm ($§VP_p$), where $n$ is the rank of the input lattice. $•$ For \"almost all\" $p > p_0 ≈ 2.1397$, there no $2^{n/C_p}$-time algorithm for $§VP_p$ for some explicit constant $C_p > 0$ unless the (randomized) Strong Exponential Time Hypothesis (SETH) is false. $•$ For any $p > 2$, there is no $2^{o(n)}$-time algorithm for $§VP_p$ unless the (randomized) Gap-Exponential Time Hypothesis (Gap-ETH) is false. Furthermore, for each $p > 2$, there exists a constant $γ_p > 1$ such that the same result holds even for $γ_p$-approximate $§VP_p$. $•$ There is no $2^{o(n)}$-time algorithm for $§VP_p$ for any $1 ≤ p ≤ 2$ unless either (1) (non-uniform) Gap-ETH is false; or (2) there is no family of lattices with exponential kissing number in the $\\ell_2$ norm. Furthermore, for each $1 ≤ p ≤ 2$, there exists a constant $γ_p > 1$ such that the same result holds even for $γ_p$-approximate $§VP_p$.","url":"http://arxiv.org/abs/1712.00942","booktitle":"STOC","author":[{"propositions":[],"lastnames":["Aggarwal"],"firstnames":["Divesh"],"suffixes":[]},{"propositions":[],"lastnames":["Stephens-Davidowitz"],"firstnames":["Noah"],"suffixes":[]}],"year":"2018","bibtex":"@inproceedings{ASGapETH18,\n title = {{(Gap/S)ETH} Hardness of {SVP}},\n abstract = {$ \\newcommand{\\problem}[1]{\\ensuremath{\\mathrm{#1}} } \\newcommand{\\SVP}{\\problem{SVP}} \\newcommand{\\ensuremath}[1]{#1} $We prove the following quantitative hardness results for the Shortest Vector Problem in the $\\ell_p$ norm ($\\SVP_p$), where $n$ is the rank of the input lattice. $\\bullet$ For \"almost all\" $p > p_0 \\approx 2.1397$, there no $2^{n/C_p}$-time algorithm for $\\SVP_p$ for some explicit constant $C_p > 0$ unless the (randomized) Strong Exponential Time Hypothesis (SETH) is false. $\\bullet$ For any $p > 2$, there is no $2^{o(n)}$-time algorithm for $\\SVP_p$ unless the (randomized) Gap-Exponential Time Hypothesis (Gap-ETH) is false. Furthermore, for each $p > 2$, there exists a constant $\\gamma_p > 1$ such that the same result holds even for $\\gamma_p$-approximate $\\SVP_p$. $\\bullet$ There is no $2^{o(n)}$-time algorithm for $\\SVP_p$ for any $1 \\leq p \\leq 2$ unless either (1) (non-uniform) Gap-ETH is false; or (2) there is no family of lattices with exponential kissing number in the $\\ell_2$ norm. Furthermore, for each $1 \\leq p \\leq 2$, there exists a constant $\\gamma_p > 1$ such that the same result holds even for $\\gamma_p$-approximate $\\SVP_p$.},\n url = {http://arxiv.org/abs/1712.00942},\n booktitle = {STOC},\n author = {Aggarwal, Divesh and {Stephens-Davidowitz}, Noah},\n year = {2018}\n}\n\n","author_short":["Aggarwal, D.","Stephens-Davidowitz, N."],"key":"ASGapETH18","id":"ASGapETH18","bibbaseid":"aggarwal-stephensdavidowitz-gapsethhardnessofsvp-2018","role":"author","urls":{"Paper":"http://arxiv.org/abs/1712.00942"},"metadata":{"authorlinks":{"stephens-davidowitz, n":"https://noahsd.com/"}},"downloads":82},"search_terms":["gap","eth","hardness","svp","aggarwal","stephens-davidowitz"],"keywords":[],"authorIDs":["23z6qgQRpCW3KrRst","24dLsEcZRe4GXnmG4","2AmarPDYNGcqK5KH4","2BcowAgK5W9eF8CwH","2EtJaaTCRDd8geAm8","2JduoajByjYPv9iZB","2JkhJAKfmcf7mCARw","2MtK82hzLr2tJNKET","2RB4AtFxtoxrjvdgz","2WEAYZosjuHXp2oD3","2a5tGxsvcgBe43ks8","2gGeRtRXEby5QYzhG","2hAipT9acp7v247ny","2mQ4uc7jBfE3QKj43","2qvZh4xLYtb7o6N62","2w9euLj4t3PA7JW6c","2wvbiaxyuJKjqqMWb","2xeSguvm3NHKeRgCt","2xvJxofF5dtfpi6nw","33LeFZkp3ncQQvw4p","34MWRomLJ5iFXJqC7","3CZkb3Rnx6wyCfQ3T","3E9sr4vZFb5smsTQB","3GAeiSiZAjW5vw39G","3JMtBtLWwFEhr9YDo","3PF65hFJuj8cSXCkF","3QzHKiZA2znD3pkfv","3RQtPoYMWSNwCTa7Q","3ikegtKKPG6aqhmkM","3jFdkNup7TE7cXQW5","3kwEcvqwPYbo5WGxp","3sEQsTtcs6MikpKye","3wCBuA5tRe9Aomkzm","48WrSJffEGcoxw3qF","4BnNhsH2r6SNz37vT","4C7PLaqi85kLY8vhQ","4KcANsZeonK8Kaadz","4LHda3i27C3iiFMAE","4ayP8gFT8LMSRkeoc","4odCcJhuPJgXb3s22","4qEh3agmNGTteh485","4saSrPWFiQySYiv3B","4tZv2nQmh4ACBmfgP","57LjpKajXqWbJ2GSP","59L2SkGNHC5eYz6Yh","5GfzCmxYbxpkKPpWd","5Mmo7WBnfv6jbtJzS","5WPgNhR7nzodaWubd","5b0f311e479b5910000001e0","5cTqLw6dcQh7HZC5q","5de6ff3e45c10edf0100000a","5de891032c5eb2df01000077","5de911b1d5dfa2e0010001e9","5de97a2d768c31df0100012b","5de9ba225b51bcde01000126","5dea0e2dfac96fde01000161","5dea26fcb5dcc6df01000176","5dec689adea90ade0100003e","5dec6b48dea90ade01000065","5ded45d0a49d79de0100003e","5ded78d4722536de010001a5","5dedca91e47c43de01000150","5dee84f1fc4c19df0100015f","5deec1b20ddb85de01000184","5deedbf966e59ade010000ac","5deee813dca291de0100000b","5def1bfcc5ae39f20100016c","5defc0add6a2dcde010001ef","5defed7a14db5cdf010000a6","5df071f2e49680f201000002","5df0e6d945b054df0100008f","5df13694630a9ee001000006","5df1808757cfb4de010000d7","5df1a7c980f800de01000014","5df26a7d63aac8df010001f7","5df280ab27cd2fde01000149","5df2b47c0f18f1df0100010f","5df2cc4e79c00ade01000096","5df31a043b310cde01000052","5df31b8c3b310cde01000070","5df323b13b310cde010000e4","5df3c634580920de0100009d","5df3fe99d1756cdf01000072","5df45433b126eade01000081","5df51633ea1457de0100005c","5df5ad1fa0eab8de010000e5","5df676cb797ba9de0100010f","5df78cd45c8a36df01000127","5df7b54792a8e4df01000044","5df7d091dc100cde0100002c","5df7fd84b9bb17df01000118","5df89025db7d9ddf01000149","5df8d54c877972de01000096","5df90061277e45de0100026c","5df92e4dd04b27df010000f5","5df986f0816c3de0010000c0","5df9b1d9a344e2ef0100004f","5df9df7238a7afde010000f5","5dfa4c22ed5baede0100016f","5dfa6bc27d1403df01000173","5dfa876f2a0346de01000116","5dfab15d5481b4de0100006b","5dfad9750488afde010000a8","5dfaf65afa2bbbde010000e9","5dfb1b95f85d64df01000011","5dfbb85bf6f0aede010000f3","5dfbce344705b7de010000a6","5dfbfc4ab371afde01000023","5dfc61a9ecededde0100008f","5dfcd30b7a3608de010000ec","5dfd50d6991725de01000038","5dfddd65dd49fdde01000040","5dfe52c5bfbabdde0100003d","5dffa2bbf16465df01000121","5dffbdb51ce6f1df0100003f","5dffe0b2903951df0100008b","5e002c27f11348df01000040","5e006a9136ce86df01000065","5e00bf6b7a90b3de01000067","5e00d1a4ea72ecdf0100000d","5e0180d5aa04bede0100003c","5e01accbb81d0dde01000097","5e021440642c1cdf01000077","5e02336e4a106ede0100009a","5e02887a8508cdde010000a2","5e02a61f64e549de0100009c","5e02b2a819da8edf0100002c","5e0301910aba75df010000bb","5e031912f2d70dde010000c1","5e03bdb6a94129de01000097","5e04944410c665de01000057","5e04e9fefff612df01000094","5e05379c1965a8de01000017","5e058261981708de010000c8","5e059d9fd36daddf010000c4","5e05de5a6a743cde01000006","5e065c7b7da1d1de01000193","5e06c863a0810cde01000048","5e06d136a0810cde0100007d","5e06ef142eda19df0100008b","5e0712973bc0fede010000df","5e0769b723a4eadf01000015","5e07d398ea5f0bdf0100011e","5e0885ed1a3550de01000022","5e0904d979e131f3010000b0","5e09bc41954ff4de01000037","5e0a149452fbd9de01000059","5e0aac6a610902df010000d8","5e0b039e3830a1df010000c8","5e0b156da129adde01000062","5e0b568645fbd0e0010000ac","5e0b6a9de73cd6de0100009d","5e0bc7b694c532f3010000e5","5e0c0f6424223cde01000036","5e0c963a6a5164de0100001b","5e0d13899ecb35de0100008b","5e0d24f08cd11ff30100004f","5e0e77b2a0f484df01000067","5e0e7f11a0f484df010000af","5e0ee6435500a7e001000033","5e0f6ae544d21ddf0100012d","5e0f9e0c66a55ede01000180","5e104b602a14dedf010000d5","5e1076e771c264df01000080","5e10d6c50192c6df010000e0","5e11a1f62af340df01000019","5e120d4de9f185de0100012f","5e1241eac196d3de01000122","5e12daad7be933de01000035","5e133f79ab1007de01000176","5e13868ca212e1de0100006b","5e1391e5a212e1de01000164","5e13bc3e280ddede01000060","5e13c652280ddede010000ea","5e13d4a0dd177ade01000026","5e142580d64f35df0100010f","5e1456efb8b351de0100016b","5e1479640467fede010001cd","5e14c0f4e55ed8de010000fb","5e14c942e55ed8de01000273","5e14cda4e55ed8de01000820","5e14d431429a53df01000045","5e14ef4ab46f1bdf0100004b","5e15302d18da2edf010000ca","5e154a64edfb1ede010000f3","5e1563fc1e2528de01000040","5e1589b7f1f31adf010000df","5e15ad07e8bfcff2010001ab","5e15db517c179bdf0100011c","5e15fac0efa1cddf010001dd","5e162476df1bb4de01000047","5e163050df1bb4de0100019b","5e1649aa28f1c0de01000138","5e164f2f28f1c0de01000336","5e169f83da4561de01000088","5e16b0bfdc7739de01000051","5e16e147ce54f2df01000156","5e173d07883585df01000042","5e175227883585df01000202","5e1782c8cf35a4de0100013a","5e18082d9a3d0bde01000065","5e18174f9a3d0bde0100011e","5e1880f867b9ebde01000127","5e18d18da382e2de01000049","5e19108ba7672ede010000fd","5e1a16729fbdddde01000011","5e1ab6369da435de0100008b","5e1ad0e0ff975cf2010000ca","5e1adaf75f3d2cdf0100000e","5e1b422c749a45df010000f0","5e1b683871abfede0100001f","5e1bafa261cb16df0100009c","5e1be9cc4c869ade01000096","5e1c02cfbadffbde0100009d","5e1c35996e1491df010000cb","5e1c42156e1491df0100018a","5e1c5281e556c6de010000c2","5e1ca3c97723aadf0100000c","5e1cb4fd7723aadf01000137","5e1cb7237723aadf0100016d","5e1cc0b90744c2de01000146","5e1d0100633f2ade01000106","5e1d40696b18c4df01000106","5e1d57ade32442de010000f4","5e1d85173a6d8cde010000b5","5e1ded902cced5de01000008","5e1df4872cced5de0100007e","5e1e05e32cced5de01000217","5e1e1e2bf6dca7f201000186","5e1e5a492e41a7de01000152","5e1e83b0cda997de0100009a","5e1e9644bedb58de01000006","5e1eb7c352ab76df01000046","5e1ec16e52ab76df010000c3","5e1ed229875c69df01000031","5e1f215f3cc57cde01000164","5e1f371e07379ade01000188","5e1f422d9ddd0fde01000049","5e1f4f4f9ddd0fde0100018f","5e1f621ee8f5ddde010000c8","5e1f6605e8f5ddde0100011d","5e1f6f2de8f5ddde010001c7","5e205cfcfd802cde01000055","5e207348fd802cde010001c4","5e20927abdda1fde01000027","5e209d4abdda1fde010000c9","5e20a82ebdda1fde010001a0","5e20c6205c2065de010001bc","5e20d2a4b46c27ee0100009e","5e20f17345115cde010000ba","5e20fb7045115cde01000172","5e211dd2d78fbbdf01000009","5e2133e7d78fbbdf0100010b","5e21683c5a651cdf01000089","5e217463c7842fde01000021","5e217dcac7842fde010000c6","5e21a5ca3ef35cdf0100014e","5e21c2f896aea7de0100016f","5e21d3a0af8ac1df01000109","5e21e7d159a877de01000061","5e2224d571dcf8df01000091","5e22327771dcf8df0100013f","5e2246c675445bf201000098","5e22dbeb49e2b4df010000a4","5e239daeed52aedf010000c2","5e23ccdeb93b51de01000083","5e23dc4e075528de01000002","5e23f749075528de010000dd","5e24829436283cde01000102","5e24c9b1981ceddf0100005a","5e250bed2e79a1f2010000e5","5e255a7ca61d5dde01000093","5e25ba9df299d4de01000011","5e25c48ff299d4de010000ff","5e25d9e4a6f19fde01000044","5e25e738a6f19fde0100014a","5e25f9e02368a7de01000071","5e25fb272368a7de0100008e","5e2605e62368a7de0100013d","5e261419408641df01000063","5e26299b408641df0100019f","5e266869581147f201000046","5e269d96f3bb7ddf01000019","5e26b3daf3bb7ddf01000113","5e26d4d042065ede01000012","5e26fb759667abde010000d1","5e2728a0557b88de01000019","5e27575618178ede0100014d","5e275f0118178ede01000204","5e2762e558994fde0100003f","5e276bdc58994fde0100010a","5e277b4058994fde01000260","5e278a514c3b0dde01000067","5e278d2a4c3b0dde010000c1","5e27958b4c3b0dde0100011d","5e279c1528f7a6de0100004a","5e27a70d28f7a6de010000d8","5e27b564328b80de0100000c","5e27c2fa328b80de010000a8","5e27dc0b68d625de01000089","5e27ec4c68d625de0100012e","5e283872e6485dde0100010d","5e284f57c4828cde010000f2","5e2856b4c4828cde01000180","5e286a716ae365de010000e2","5e287aa567e11edf01000013","5e28815e67e11edf0100009e","5e28873d67e11edf010000f4","5e28888767e11edf0100010e","5e289dc088416fde010000a3","5e28a10788416fde010000fa","5e28b1e66acacbdf0100001c","5e28c95e6acacbdf010001b9","5e28d9aaa3df5bdf010000a1","5e295cf2661211de01000026","5e297dceb7b1e8de01000059","5e2995ddfed3e7df01000042","5e29cb92888177df01000010","5e29e12a888177df01000184","5e29f1798fb0e6de010000ca","5e29f7ff8fb0e6de0100014d","5e2a02b48fb0e6de01000247","5e2a04a62d6a3dde0100001a","5e2a152d2d6a3dde01000116","5e2a24b9dd9c08df0100006d","5e2a3a15dd9c08df0100016a","5e2a43f72d8494f201000068","5e2a538f2d8494f2010000e5","5e2a59e6621cc1df0100000e","5e2a6533621cc1df01000086","5e2a6a62621cc1df010000b0","5e2a803e881468de01000073","5e2aa45ec1385ade0100008b","5e2abdc18319d5de0100010b","5e2ad6dd638921df010000f0","5e2adbcc638921df01000151","5e2aeab45da88ede0100005e","5e2b1c1927ed83df01000002","5e2b34cb27ed83df0100013c","5e2b4339b9f2cade01000084","5e2b53adb9f2cade01000183","5e2b784e6f2b8ade010000a3","5e2b8a5d6f2b8ade01000187","5e2bd443dbdf7bdf01000069","5e2bdb6edbdf7bdf010000a1","5e2c086901c874de0100006a","5e2c1f34eb4d3ddf0100002a","5e2c4d963dad8edf010000c5","5e2c79dece5606de01000071","5e2c83a5ce5606de010000e3","5e2cb8d4cca05fde010000e6","5e2cd3f2972628f20100009a","5e2d06326b217bdf0100004c","5e2d2be14e7fefde010000c3","5e2d9302481fd6de01000049","5e2deb70133023de010000cc","5e2e2905cc9e90e4010000e8","5e2e8b218d5204de01000035","5e2e9ba48d5204de010000c9","5e2ef8c0e374eede0100004b","5e2f0d69e374eede01000318","5e2f19224557f3de010000af","5e2f476f78a7cedf01000242","5e2f6e710c34b9f201000196","5e2f91de48b7a4df01000156","5e2f9e12a21e47de01000001","5e2fb514a21e47de01000136","5e2fcc83e075a2df010000c0","5e301fe17e0df1de0100011f","5e303a3046a666df01000198","5e303ae746a666df010001af","5e3055cf57a222df01000126","5e30b17dc99510de0100018c","5e30c6f42a1e4bde0100016b","5e30d0772a1e4bde01000200","5e3127715a3ceade01000002","5e313dd15a3ceade0100011a","5e3146e58cf138de0100003a","5e31971500e4e5de0100020d","5e31a1be6be690de010000d1","5e31ae886be690de010001e3","5e31be75b5384fde010000c8","5e31e381bba4d0de0100018d","5e3206a77c8d24df010001d2","5e32216df80a24de01000127","5e3248e4e45eb5df0100009a","5e3256ede45eb5df0100014d","5e3262ca5633c9de01000041","5e3287de3957e3df0100009e","5e32b518466076df01000050","5e32dae4150c84df01000098","5e32e16f150c84df010000ec","5e32e2c0150c84df01000101","5e32f08fc1389bde010000d1","5e32fca0c1389bde010002de","5e330cc5200286df0100008b","5e3316e4200286df0100016b","5e331894200286df0100018c","5e33212a200286df01000229","5e332b8ba5c1fdde010000b7","5e33516fe0067bde01000197","5e336a3ef3004edf010000e4","5e338b0b7a676dee01000145","5e339ae217f2c9de0100006c","5e33bdd37bf3ecde0100009b","5e33ca16ddfebcde01000002","5e33f95cd41331de010000ff","5e33fd1ed41331de01000137","5e342a9a41f782de010000c9","5e342c6e41f782de010000ee","5e345dfba8890cde010000aa","5e346762a8890cde0100014a","5e347c48fae8b9de010000ba","5e348898fae8b9de01000183","5e348f0153b794de01000007","5e348fbf53b794de01000029","5e34970353b794de010000d3","5e34aec4ed2109df01000031","5e34bc2ced2109df010000a0","5e34cb5362bc74de0100003a","5e34e4325978bef20100000b","5e355fb550cde4de0100004c","5e357ec24c2e37de01000092","5e35a192e5db93df01000094","5e35b45887b1e1de010000a4","5e35db7276dd53de010000f7","5e367564f0f9c4de0100002b","5e36ed13b26a0fde010000c5","5e36fb826568afde01000020","5e3710c66568afde0100012a","5e371a31646a98de01000038","5e3755fbe25d29de01000099","5e37beae56571fde01000003","5e3804de918d4ede01000106","5e384dcdccda85de01000035","5e384facccda85de01000054","5e385fa7ccda85de010001a7","5e38734f1f8af9e001000114","5e388d18030bcadf010000b4","5e38a2da645ed2de01000041","5e38ee5981a46ade01000134","5e39053cdc5b8ade010000c9","5e392c6f9d05f2df01000006","5e39772a346d7cde010001a0","5e398ed1d14579de0100019b","5e39af85ad94f9de01000174","5e39d5f53687dddf0100001b","5e3a0f30c268d2de01000021","5e3a7023b291e7df01000092","5e3a79b2b291e7df01000129","5e3ad01cf2a00cdf010001e2","5e3b001355f0f2df01000103","5e3b22ceba2e16df01000187","5e3b7ac3184d6ede01000001","5e3bacab69c38bde010000eb","5e3c239534cd37de01000005","5e3c385c34cd37de010001a1","5e3c56bec798e0de0100015b","5e3c684567788ede0100009f","5e3c6d7f67788ede010000ef","5e3c77fffeacaede01000004","5e3c814bfeacaede0100009d","5e3c9e3df99721de0100007f","5e3ca5c2f99721de0100010e","5e3cb428948886de01000024","5e3cc0c6948886de0100009e","5e3cebf7ad8243de0100002a","5e3d0f667cb23fde01000073","5e3d1bac7cb23fde010000fb","5e3d768c96e576de01000017","5e3d8f0796e576de010001d3","5e3dbda107ca74de010000e8","5e3dcc3ed51253de0100002f","5e3df65da4cc0ede010000de","5e3e0d424cdb49de0100005c","5e3e58acac2d49de0100000b","5e3e843d666d79df0100009d","5e3ed40d86a596de01000091","5e3ee579382e41df01000021","5e3f2ccb7da304de010000ac","5e3f94bacecf86de010000d2","5e3fc7cbe05cc0df01000018","5e40018d17f17dde01000039","5e400fb217f17dde010000e1","5e403427668183de01000001","5e40890bd668c6de01000009","5e409ed5d668c6de010000d7","5e40c983614963de01000090","5e40dfc2fd6934df01000018","5e412330b54187de010000e2","5e415b42a59dc8df01000124","5e416777a59dc8df010001f3","5e41787fd9f47bee01000179","5e4198538491fadf0100017e","5e419ebb8491fadf01000200","5e41a1158491fadf01000239","5e424a31ac099bde01000136","5e42565082b0c2de0100005c","5e425e6382b0c2de010000c5","5e4297e25ea111df0100015c","5e42db63a6f4a6f201000050","5e42f2c2a6f4a6f201000224","5e42f5bdaefe1adf01000042","5e43334b8957d0de0100006c","5e434d54a37866de0100003e","5e4377e7b5e412df010000fd","5e438ad4639a35de01000081","5e43b303a3f5a4de010000e1","5e43cfd944c4f9df0100021f","5e440a10547b4cdf010001c1","5e442333fdc393de010001c9","5e4429ece5a34dde01000033","5e4439b4e5a34dde01000175","5e444483e5a34dde01000200","5e444c0bdf3c2af3010000a4","5e445d5ddf3c2af3010001b4","5e447012084293df01000102","5e44974bec14b3de01000148","5e44b33230d0bbde01000115","5e44cb4e7759a7df0100011f","5e45097303c52dde01000169","5e452b13605639de0100003e","5e454730a96575df01000057","5e455049a96575df0100012e","5e4580e486f11cdf0100007f","5e45a53d23a133e8010000f0","5e45be860920e8de010000ef","5e45c4f70920e8de0100016a","5e45ccf00920e8de010001dd","5e45dcf6ad0603df010000dd","5e45e3c9ad0603df01000160","5e45ed3fa5737fde01000019","5e460a80b57382df01000024","5e463b0f7f6322df010000d9","5e4642016a7198de01000026","5e46b2ff8573d1de01000038","5e46c9788573d1de01000197","5e46dfd842fb31df01000142","5e46f2b6461d04f201000089","5e46f8c5461d04f20100010e","5e4707eca2783dde0100004c","5e4755a2d8f94bde01000112","5e47c12c6c5c7ede010000b9","5e48086ed4b913df01000039","5e483bb000973ede01000015","5e48492b00973ede0100008d","5e485bb347fde2f20100002e","5e48603847fde2f201000058","5e487cb786dc17de01000055","5e488b1b86dc17de010000d7","5e4894386ac344de0100003e","5e48aa96f1ed39de01000012","5e4901dc27cbfcdf0100001f","5e49908d552c77df0100002c","5e49bbadcb98e8de010000ee","5e49c861b63120f201000039","5e49d08bb63120f20100008c","5e4a0cc7cc11a8df010000da","5e4a280fd2dbc8de010000b7","5e4aa086b70966df0100025a","5e4abdcf15f6c7df01000207","5e4ad32f0d7631de01000137","5e4ae38841072bdf01000067","5e4ae7c641072bdf010000b3","5e4b05f4332a9bde010000d5","5e4b205cc59ab1f3010000d4","5e4b2e5ac59ab1f301000185","5e4b5ec4cf8e89df01000049","5e4b97792d0ef5de010000dd","5e4ba0a12d0ef5de0100014d","5e4bb55a733a18de01000124","5e4bdc1c8f0677df0100001c","5e4bf21f8f0677df0100017e","5e4c050c0dff2bde0100013a","5e4c13162dc400de01000022","5e4c20b52dc400de0100016a","5e4c24742dc400de01000209","5e4c31f4c1eb51df0100003f","5e4c3bd8c1eb51df0100015d","5e4c485fc1eb51df0100025f","5e4c5593271596df010000df","5e4c7348f2c6ddde0100010f","5e4c8c6b5cc521f20100007f","5e4c8dd65cc521f201000099","5e4c939f5cc521f2010000e8","5e4c9bab5cc521f20100013f","5e4cc4e30cc7d3de01000053","5e4ce3a63e28aede010000b2","5e4cebdb3e28aede01000128","5e4d28ee7d0ec8de010001b7","5e4d57c954c682de01000153","5e4d68ac08a8e5de010000a2","5e4d8082d2986bde0100002c","5e4d922ed2986bde010001c4","5e4d9fbee671efde0100006e","5e4dc223682c99de01000078","5e4dd69b52c311f201000029","5e4deb0352c311f20100016d","5e4e6c4f24a828df010000cf","5e4e948b9b7bbade010001c5","5e4ea7d864b624de010000fe","5e4ed1b22962cadf01000010","5e4edd3d2962cadf010000d9","5e4f0be2e5389bde01000037","5e4f33ffaa67a8de010000a2","5e4f717ca01931de0100009a","5e4fb9382c51e8de01000065","5e4ff98df5b214df010000ef","5e4ffb0df5b214df01000116","5e500f4b933046de01000087","5e5029928c3a2cde01000056","5e503b168c3a2cde01000133","5e5066f9cb6c3ede01000097","5e50825d7e0827df01000058","5e5092797e0827df010000e7","5e509d0f4e0862e40100004e","5e50a1184e0862e401000076","5e50adc74e0862e401000102","5e51421cfe5af9df01000055","5e5144c4fe5af9df01000075","5e514e97fe5af9df010000d6","5e516f78a04830de010000cd","5e51718ca04830de010000e8","5e51898af29c90df010000cd","5e51b18032046bdf01000050","5e52da01a3b344de010000ae","5e52fad29c58afde0100013c","5e5305006d68b8df01000066","5e538e7bc02a31de0100002f","5e539766c02a31de010000a0","5e53c84080e18ade01000041","5e540adee81566de0100011c","5e54194980c0b0de01000021","5e5422d480c0b0de010000c8","5e542be580c0b0de01000183","5e5437d97a758fde0100007e","5e545a6388d190df0100009a","5e5461db88d190df0100010f","5e549248fd5b13df01000067","5e54a945929495df0100003f","5e54fdeb96ed20df01000035","5e551e220096f9de010000ad","5e5520b60096f9de010000da","5e55386fca58a8df0100009a","5e553f49ca58a8df01000145","5e554dabe89e5fde01000013","5e55943a009772df01000131","5e55cd388061d1de01000091","5e55e9b3c2c8a2df01000091","5e567ad3df3460df01000173","5e569775eb2916df01000205","5e569ebee177dede01000019","5e56b80de177dede010001a0","5e56db41a8dabede01000059","5e56ea52a8dabede010003f5","5e56f6ad7840dfde0100005b","5e572010429006de010001c4","5e5752f118f14bdf01000073","5e57c0395d5d52de0100007c","5e57e351e391bbde01000158","5e57f9a5a38020de010000d1","5e57ff5ca38020de0100012d","5e5837641f3fc8de010000e7","5e589dcaaadc3adf0100003e","5e5917ab9bb6d2df0100011f","5e596a5456d60ade01000109","5e597baa8049fcde01000020","5e59c326103b4fde010000a2","5e59d4bcab416cde0100004d","5e59ec436ef27ddf01000020","5e59f53e6ef27ddf0100006f","5e5a8ecab6725cde01000103","5e5af05d038583de01000076","5e5af48c038583de010000aa","5e5af643038583de010000ca","5e5b02fb6e568ade01000004","5e5b23582aebc8df01000023","5e5b479c74a3e7df010000b9","5e5b5baf502fdadf01000025","5e5bfccad49321e0010000e0","5e5c1c5615d8f5de01000008","5e5c510368f281de010000fa","5e5cdb86aab7afde01000163","5e5d1e12168391de0100006b","5e5d367473eb2edf0100002a","5e5d4fe173eb2edf01000257","5e5d6a28ad47bcde01000178","5e5d7cf70b73f6de01000151","5e5d8ee75726ecdf01000055","5e5db19f3d34a1de01000082","5e5dc9e4c64f0ede01000043","5e5e62975f9e7bee010001c0","5e5e9116c0a53dde01000138","5e5eb9262fd1fade010001c5","5e5ece748c261adf010000d0","5e5ed1ed8c261adf01000111","5e5eff976ee7bddf0100008c","5e5f11446ee7bddf01000131","5e5f18dd8ca867de0100002b","5e5f6a095766d9df0100001b","5e5fa7b419c3fade010000ad","5e5fcf686b32b0f201000171","5e6002bf13e3aede010000a5","5e6014e0c064fcde0100009f","5e6050c44a1c7edf01000055","5e606c459119f0de01000050","5e608f181fc211de01000090","5e610c9231c7d3de01000256","5e611b601cc34ede01000147","5e6135bf97c182e9010000dc","5e6149c1956b37df01000083","5e616432417d19de01000035","5e6177d5417d19de010001d2","5e61d4f80c95fdde0100002a","5e6256d43c8c6bde0100015a","5e62637711ac5fde0100004d","5e626c0b11ac5fde01000144","5e63132de358e6de0100005a","5e631812e358e6de0100008c","5e644ea1b8c607de0100006a","5e646ddbe1ac00de010000ae","5e6502b19eed46de0100000a","5e652662ee6356df01000058","5e65453d0c7028de010000a8","5e65702dde41b9df0100017d","5e65c51ad92058de010000fd","5e65dc6b14abd4de010000b3","5e668961152d6bde0100022f","5e66d9be277ba4df01000124","5e66e48a85689bf30100002e","5e676c591dcaf4de01000201","5e678cfdd527f0de0100005e","5e67936cd527f0de010000d2","5e679e8ed527f0de010001f4","5e67b42b84cf9ede01000465","5e67bef284cf9ede010007b4","5e67c890697cebdf010001c4","5e67f6660e29d3de01000315","5e686df903bf55de01000043","5e69e3ff3aab3cdf0100015f","5e6aaef9f216f6de01000174","5e6ac8a5d15181f3010000ef","5e6b496ce9cf32de01000035","5e6b5d40e9cf32de01000144","5e6b9c7d38517edf01000025","5fstWhYqx46zjq53F","5iG6qGuNwx5PtY32q","5jA5Wfper9i8s2XXR","5jonKwbPdrpWg8Qew","5n3gShNLgoPwLMEJ3","5pBv5tEsQ69Ew6HKE","5yBBtuXKywPTmuDEk","5yFR8qNZLeBBdYGvz","62msH3k2kay477ftP","63kY4ge5PQtyAfXaM","63sN6iy3CNnCNdfHm","66qzLgnxsJ3jA4Qwk","68MjBfvqzMuuM5nFv","6Bm3wjxLkxG6kznno","6DeMxmis3xfTkRYWT","6G7TKJQBc7B8hj5hE","6HnJMxrBBavhkjS5m","6Kn7MEh5oZ9YHfocS","6KpbzuMu5mPzAnZbq","6LhdXuTEHANNgWzj9","6mXn9MxSk6uqQiexP","6mkBqsb5vrMqZdACR","6o4r6HWBo6aX4BvRj","6w3pYWddN2Yaotnyn","6yrXN2tuCLHWsutbk","74AjdqCvjZqeNXQ2W","76MpbSK7L4mzoHucW","76r5dK7QtfnPkNEFf","78PCQWuZAcJ7mHWJf","7CFJ22nCN45rPHHWc","7QobQLduv9XknDNEr","7XiW4DYJpC9Nhzetr","7dwJSD93R2zzDgfEJ","7exWPoptySuLFciZW","7fm6zf7oJEsYcndS9","7k5Pxamktz3CfXoAG","7m5EsqCs63uad7zaJ","7qX8eCW9RNWZWbtE5","7rPNuk79GnqTPqEeY","7yetKptcDKhHS2FpE","8GDYteXmehswM6e8G","8HKaibMfo5f2K6amm","8MgnWPAK9rZEm7ZWF","8SnMcYmXKF4ijSTDg","8TBogEErevcBwTJMq","8WCFdKMbZSpG5WpZN","8nz7CEpHDcMqzoQEw","8opkcBPJHXew9Qcv7","8orEjbs4qTnnrvkZm","92SbLCHT3PqQvXN8C","94o3CWirFhv7dyqJ2","97Hc5XG4dGhAgEsRu","9Fur7YsgAoqkKFGbP","9JunxEGgq4Wtoryaf","9LiCR5KxP7nqB8fBp","9QqpQk3xER3tgdQeW","9X2L8Ws4eEEyzYqp3","9Y8yDiG6MMBBstCs5","9bacCHN48iRpEFJkK","9gjr3c9gQ5MbWBMwP","9i3pZjAgK22LXPXd9","9iS2bQbQwKmiroTCE","9pC8kT8pr8HzED349","9qrXfTgdKgRPs4wRR","9tyK2NMtQkoH68DWs","9x5sdW9TDuGXCRoSv","A2A7tnPWmuzNbSGRm","A5j3hRmRteMhKteL3","A6wwaBixg5ZXexjqh","A7u7LYFLGpd9fWSck","A8EqD38FJvuPveNTQ","A94ZYzPePAY9GPN7C","ACn7LXsKHyxp45GfT","AF8ALuvjo8BSjy5zT","AFSQsEzzE8fHmRDPz","AQB6nFfFQEEusSACb","AYTfWQpedRuCwhxwY","Am9Fr5Rs4QbxztJgk","AuMz2LrtdQTpHbpc8","AvZjpu39mMX6gXdNQ","B3i4Xm2jjNGYjFum6","B6Bc3cHfegzxWoW7k","BSAgFm8PfsnbxZYcH","BTBJE98hsTWZW2aRy","BXQbYPcCiaPCPijt2","BXWQHAu8vJsuYP32i","BZb7RSkbaydAyiJRE","BfdZu3sADs67X2Ssp","Bqhkbtv6L23ReP3ZL","BwEMLWxiqNiLaYrZh","BySLgtPJaRx22kJm2","BzP3aHcry88zXoxCM","C87BuCY3gHhFJKoMo","CAd2oEbpYQgn85QBi","CAhGY5K5a5MHj8H5W","CCqpH7BRvMohzWnog","CDyPmzxEtTsHxEQce","CFHMr7Mh7SHkBYhKN","CJfg9m7gP6eMqNZWy","CQ53rCSLvtNiyzise","CSoEF7uJjS36n8oid","CZSbq9KJjvPhscQts","CcNKDT2KajZ3oJQEA","Cn3Y2HiiWXtpHzDLh","CpBgsACibPTgasvTM","CveZajSsooj4kW6Db","CwyRbJ23PuCSWRhBY","D4Pn63AJ8bQBMcRrY","D5AZtZvsJEqgtdTzp","DBdoEv2aK2KFCdaxq","DLbCeBzhFo97kQdzf","DM4sXNPNvFsnhTakG","DMhsbJpfmFspreAPo","DMjXTeZsrHTvNG233","DQBadTovFbyBGHEF2","DRsBQHjsgHPF9hAME","DSNKonpqGxrY53fjp","DTHaiQE7a8z5q7yQs","DTh2yTNvCvQkPFusy","DWb4ucDFi794RQuSo","DWnQwd86cj5Qtc3WB","DdpQdaQMHTwqxJFDd","DfBWM2N8tFx6P9ibe","DfGhKYgiobF3zqSFy","DiTWNSQaPWgqiWtzN","DroCALFxGmFW5n25P","DtFbsfZJNvGcSCeFF","Dtc9vEBuc6gmBN7Qq","DwmSpZH2cBfdexCJi","DyWbjNW29RvEANCgR","DywzEg2E27HJSE4YP","Dzv7XnRsnr2ChbvEk","E7i644LkXSHixTycc","EA3A8yTmFrihh6Q7d","ELDc4QLeG7RYmctpj","EQADyPsnsQFJWrfrb","ERJEiWfWXmMtiiq3v","EX3PjDfbGQv3foYL2","EZHgorsDqR72jRAqD","Ea6nFdE4aaM8csHTB","Ec9roEnrmAKyXzJ9K","EcCXbdZHjFfABNqAc","EgMWc9jFBKuYaQeon","Eh34Y2H5NknEiy3bc","Ehmx4CPQd7PpoBLMZ","EjJgACGwvDTPm3kGc","EmXDtFSwMAFtFoWAz","EmrS9qCottvn5MLRF","EqHudsGDji6WLPBfx","Et5wdGhongozqxaDL","EtaWiw9tXR2oNdTXa","FBqsjFq8YKs7vQois","FDm3Zww6yqsjjCriQ","FFqzym2f6qjZocBDD","FHKSXPSQEkmA8ZvCu","FNvHEDMbmEqh75Qnd","FR2xuTqPs8b72pXzL","FR9Nt6dv4iWLWQrfz","FdHnoMP33F6TGk2mC","FdevsFW44gQsdkzaD","FexSzFN7qonZxpX5F","FijBnWFiZnoHQ7rBS","FmS33woK2pgc744my","Fo7PcNhCsERPkCcCT","FqhGTjpLs4C7rqdWk","FwZejmr5GxyEcHfZW","FyhuMdDskxD6a4cyQ","GDoiEyyQS9aj8zRgm","GFaxpoceoC2rjf2fA","GJFNb6DmKwNZq5wSo","GT5ghe636X3ydpFPv","GXKoPDSyHygzrrWrm","Gc5K2Zyy7RjTcvnCt","GmEuMH7P7RdneqsQt","GpgfDDkuzcEB9BAas","GqY7dEbXYo7NvPGDK","Gv7rnnMqrrnb79E9o","GwGLZCAeTEnRJeEkp","GwwQnETzHTXESJiRX","Gxq4JuLZEazLRtfcZ","Gy6EuEXbtybzwnoEn","H9uSwGqRQsPtdFGMz","HAohSmGcu85GYHDgc","HFkhWd4t3eaJwSCSR","HP9np8W8JaWmvd4Zu","HbNZtFQeMAeLaoN2w","HeA3XDFSteCkicvWr","Hey8a2cjwNxnKqHG2","HjrnPQ5C4kuwrMB8o","Hr9LoEfTXNbau37eK","HtrfzjAv49C46g9Tz","HuqFhXpXKTyjrq2T6","J4azcKw3qFYQoFToB","J8Nv3R67xsCkk2NG2","JB9ysqBF6F2owxZWt","JHRb75ypq8dJywCsh","JbF5TByCFwgS4YGJ8","Je8wSPe9RxXd5urSM","Jf87Riux9CCpog2n9","JjW6fiM7FREP6HeYT","JoXFw6ktZZEPF3PW4","JyRgCjLqLbqLCTPqr","JzL35YDdRLsMW5dbj","K6NMcvb488rcNSCk2","K98d83Ymyhag8oQej","KE4y7wwqRdCyT7XXK","KE7XcdJoymByXHhQZ","KEqE99z5TYfY3vNma","KKCv7nXZkiswyAhPT","KKeMMgkeEYfbC3ygz","KRa6d45kYSakeHqKf","KSNDzHviptJWu5dZe","KXNXb9QdNaX46qRqL","KaGsWJWoZcMQZWJDr","KafZfRcnBhATDJJzb","KhMGBP6vbLtqx6crd","KuPksBTLGbx8u9fHL","L4pM7rkA3PXLbXw5N","L7hekuTKTnWpQYEeL","LKeRM6Yqthjhrhvpd","LaKrjMa6uiZGmPpEh","Le2zvD8QLYHkQ2aWF","Lg9pwidHCn36yzwtv","LhMrPSgWFb7BGn4dz","LjmoLru7jkyo6BGBh","LmZ2sbJtMc7EC5XC7","M3DNZq4ZDbyPwuGC5","M3LXzsvFwSXXt3yJg","M7bn2oMYCusNz7gyX","M7uWo5v36MofjhY63","MA32P7jcQdd9u7Z2M","MARXxbcG5pgEfp44u","MCuAzdHrNj4Fp36zB","MDSCrAaFXvma9zRRC","MKvHynY6tNJyp5M7G","MRN6FX4QD4ny6TXrW","MbrKGvpKhGm5nCh47","MeiTX8AoNZpdW66uy","MhYJ5Cz3jybEg4quj","MifWXJBKZeqZojAT7","MnopEWTD8bt7tuuPX","MqM4wNdxSCLZKjRGC","MqgvJ3kRAQhdj7H9Y","MuKNFsYLp7Nu6HHze","MxvcgRvooD7GW68t3","N3gdWAyAG9iKAgnvZ","N9obhgiKbLjFqCpht","NBKcADGr9v99Tr2kj","NJW5Cc4i9DqF7WSsf","NMfCNXgDmE5LBNDXD","NWpSFPs6bQ6hAY5hX","NYnZpAgDSovhSmWDx","NfoyAmg6bkHugbpvd","NgebouJSpvnpqTuf2","NirC6FDFv3cZtCnPn","NpbwGaXouPge82YsF","NrB8SxPWxRztZF4Re","NsKfZS8svvuZwZEBa","Nt5xLMAwA3MDHsKPJ","NuEg2arDFposDpWhz","NugyPS4GMHBuz7fuq","NvaJ5iTviTAABrqTu","NyaTx27FaWCwDc2JG","P9TqLzocr2NZMjmLx","PA2n8rSqGQojaQeWS","PBsP5sLBftnL5TJ8J","PDSvdAgdd5EARpmcL","PFFcsdZcD6kdwEsA5","PJ365tEkzJfF2HqPY","PKqmRvEzjd8mkYkyg","PLZiboEvg6ueyGSp2","PMapuWBqRtDyJgrA9","PN772S5hLD9eA6jnE","PYLr3xGssi9ktp6Rz","PYjfcqRYNPCj2jW2b","PZ7dLXxG6wWP7bsyY","PbeFtHZYW63L62iwD","Pe6RoEzD4KXsnQjQN","PfEpFjWdSduMq8e5h","PgWaXK8PyMpHH7Wz2","PonWNuin8uYCzq8f7","PuQWaHQbDvHyk4D9G","PxM4TmqhtLG8fSm2A","Q87E6RrwLfvndKBJr","Q95sxuH6acgozG648","Q9qKHzPPNmhJW4CKB","QDpu2SKD7jtg49wn7","QFQdB6T9q3ZBcXmsP","QHnA5oJ3p3KWPgZWF","QLdnDYqvgJQG8GZq5","QPZ4mqsw7nowRYzsb","QQLCRWuKxMThFn7TH","QXJPnS2GjixwQGgwq","QXooPMkQJa9rTegmo","QaX6CQawpNN2DbeT8","Qnmk9ZSh93fJrJNv9","QoQ9Q5pGuHPQTFHQB","QrtZvGhS6hptJY99j","QryTGsRXsaRSNNu3B","QtLjZ3xJ87KJRYTic","QtvBaXDM2BfJsnJk3","QtxHCMPHTtuxXKapQ","Qv9Jq8JvKazdMttnS","QwXyLX7RtS4SBk6EX","R8FAzWqiC4jzEnmeo","RERcPuepubZBRQ8e4","RLqxA3GZpK9KYDMsW","RLqyGresZPSjTh5r4","RNEBZDj8da9ZNdXCL","RPB9vqhu7GfakpkPr","RRLqDBCyqhrqSsT5m","RYT3Ljrktt5kZs9LM","RZPj7QNtoGesCY7rQ","RaCTKiA7wWcmjy7vf","RgG3W8vFvSwATDTjS","Rhhm5HmP6zDNeNLCF","RqLRDh4QiqaAWvPDA","RqmQvpJJSLsNqi6gP","RxquGHRZY9zme7kz3","S5bLPxYL7syy2hTFX","SBiwcMk9tHKG29axo","SCoYdGugkgQMxtfiz","SG7Xq5xytqaX4s2ZK","SH2zSLnrLFJxyafeP","SHEk9PLr8TAsamEAg","SSQgfPN22sG8qi9BM","SanT5DRssGWMgHf89","Sc4DcRfJsKkRxe2hC","ScYPhsn8n6dJSr29m","ShmPKrXJxxchJgHgr","ShxGocu349dLQ3Qyj","SoRQqwJndj85GBq9P","SptsCvrna6wTX6XNK","SxnZDSS9fQTKBgctt","SzDs38pWDysXtmxZp","T2PDpLKPQwpQtMh7W","T62vpGRbWusRnuqRc","T6tigDdbMqfqZ4YJZ","T8yDLsLAjpQXc9SPw","T9RsqQ4Ps5z9Wrg2i","TBCTRpntahCshpZt8","TCdqXEfpEKmKHny6Y","TPPNo6LQocQuoeQ25","TPcXTY26BS4vzsrEy","TY6AkzSd55HjDmxQj","TYMBNNrX2AAKaxbTy","TdBpECKMnppjp9ET4","TeoXKM36ovqtmNZ2i","Tf7LskB5T648uQJHt","TfLqL2SZ2vSCzriJT","TgTc9cSFMzSEcKvsH","Tn3YMA7Kc66ZFduCf","ToBhS8FkgnnxbSfxY","TxTAHQx5cJDj3FYw2","Tytnwqezdky8KKdmy","W3KWu6CvrToCP5xga","W4mm2XYuWx2vNbc2d","WBfrpbcJgsbufSS4o","WBtr47eg9eFm8DPT6","WF3m6GhEH8XyrZW6u","WJuTphNherMPcnzP3","WRtypKEKQn6X3vJzx","WYzNmcexJLgTEzZnH","WcJ6H5EvyrFJa2MAC","WgwBuwgJRDNTSxrM7","Wkzxp384oFcLenogn","Wn2GL83tvC66wgS7d","WsPtNBnjSpA2bRRbx","WtoEzgQG8kZj74yMQ","X55Et3hXuNpbkXK2Y","X6ozbpy2LEzd47Qhn","X9wixu6qKXbw6BWFP","XBdaqQyCArNadBxs9","XCLfQhhnJJLED3fuB","XGcSWHLNwtH2kLT9D","XMiZN9ybRhsRQyd3Q","XP8R3pFEwaZ3LwHKp","Xcy2xK2tMqF5Ec5mB","XqXatWZEvvyBQMm75","Xz8wXtesPyCe7igwW","Y56Aqw8GBuaAxbN9v","Y9Ca6YJijKDhWvzLG","YHAkhX8J66jGhy8Tx","YK5HkntnX8fB7naAp","YMhwyMwRcZ3yXWBEA","YPRvyzNPBs53FZLfC","YPw66CfA22biijbYh","YW2MZBfADEmoaAyiE","YdoFkiFQhZcb2s2ok","YfAB3fnJLvAXaFa7A","YopLF4QRhAAHivFEY","YpbuyTgyawBt2ACQm","YrfEwsjPMFAZHjDXH","YvdyEfzBnbdjnPzwP","YyPESKoEGC4ajRbyE","Z2qcirh4PFEhXR6P5","Z6ZSbG9FqM9sSmTqr","Z7PvugQNueXFxf6zh","ZEHq4QZejQyaYgda6","ZNBDGKzn5AN3EdXWj","ZTPamnfFrMByadKgm","ZXneHfd8jYdRi6cg9","ZbbzaCH5JeqFxCcWp","ZfLHbbErksfcdmkQx","ZfxaYMYjGaL9wZKti","Zhte3hqeieBnNTkXM","ZiacPYSRSX5yLaKsC","ZjQXzg5t8KZXe62cA","ZpJuJozHsAtHQk3au","ZpSmwHzKEfpYABdnv","ZqoMJ8rAyA98wwakZ","a6JR3eo2XsEwbN9jy","aJ6nFiAkKBp2CY3rM","aShMb6s8sZJNcrYME","aTXqt6fMxDdcpFXxn","acgPFNNHPGvnGD2WA","af8pXRGQq8zXAzPpb","afZCd54SzvEEAPyGt","arKDkHbgkY7oRrxZG","aveGRzhzLFiGXBa2i","axJCytGvhhJQjNRxq","b4PzLFq228vuJSqRB","bASzNEzpxXDcNHpFk","bAuJXGFpEkwHavuD9","bCSiHsrBDmfDr2GY4","bDWHFQnkeJYAQ8Sir","bDWkkHt3rccC3839Y","bJaDgNXv4HGaxDZ8B","bLjszcfb2GaRZyYeK","bSv3FSZKTw2y9J7MP","bTSbLQYBGdGBkmbc7","bXYCYE5BvLG4KoYDi","bdBioDvqqkpsw2pJe","bgE888fYgzsLCD4Zj","bjTGRsoCPM2dAGy66","bkbuJEyWtBhpJC3Mw","bphLX4BezJECnkTqM","brNxvRP7bfdPAiXmg","bvTAgrq64Tqi8wGiR","bvwyFLvRvbgM9o3wT","bynydMHa47AQ5pCre","c5FpSwBBN9ceC7nyM","cCZnFDW2eJK8uNCA4","cGSns6SmMwRjrJDpH","cHkZNDnFSbaDwjqzq","cTDopWYNMXYbcdA8o","cWEPovXDDgy2ZDHEr","cZMd4XZThe3mJu6dn","cavexiwG2Dpj2jRov","cm4ebBF49nMYdG7kP","cpAbxfiJs29YFCA3W","ctKii2aajqf5RrEut","cvPvu4zRD2MRT8A7A","cvakMDbTW8mB3D2pf","cwXQQhcR2xdFSsx3y","czRYWiZTdvBT2ojqh","dA6ZFPG5i3jdu2opA","dCpoFRTfFkgXbxMfw","dHz9Hgf62kwqWdgNf","dMho8ZZ9a79fxn8uP","dPDSw4Y8jazEpNtLZ","dSgmtxFPE9tzG6DPu","dZRPNd9Z53njd8yEw","darSmzKJAKgeTPd2t","dcqFkAJqsgE9mSELa","deZKeS3yq6M29LREt","dfYGsywoJvtaipDpc","dfkEMAQJHGmsb5ekx","doMXnmeZBpMfC6W58","duHnogEAaP52eFfdd","dxQ9W6gPwBxHPjgA8","dyQxKo8LS2TQx4Dey","e4hoMd5yevweYmmu2","e59FAJrhv7oxQHXHZ","eBKAe9TF3kJf6u3NQ","eCBAr4qunZ5eeW5tj","eCT4MiRncEBTQcszA","eGCGzYBWiB23wDvDt","eHyzfBWS3mR2SoJt4","eXFFNfq83XEnPqaZn","enFnYpr5YsDFZg8uC","f6yEiP6t7dyu9DQ9r","f7sZmxwSCcPFjzNy8","fBqPRynnw7qYaRcXN","fDZXHKxDgMwXjRJ4s","fDx3Z4dyiAENDCnh8","fELZS6uY2rXPDBmRW","fFR6phfhQFf5k72Kd","fGtRXbXgz65MDySGX","fH7fZWYS33AJJ95ir","fPo7QcqYEvDEnyFAM","fQRRiNqc4QGyJsdra","fR23xWQHocnTWYbZW","fWbFy6e95Mi7w4FRZ","fa2jBHijZufkgyPfe","fa5kep8JX3ThNtTet","fdqyAjxmTwL5Qh9wd","foRRv5ikPJTGWNgjo","fs6PLQEeF7mvnzue5","fy9vKGr7TKoutPZT8","g47Bzm5e92frvSkjL","g7gHZS3EFFYL97kTH","g8Co6Bd5JDWNRGxHY","gCKh3ndxubJmiyxMt","gKkMPFC2qvKvMHKr3","gMhLNzpwazaCu3pD2","gPmPe38BKup896tpc","gQYStTyue7Pkfpy2y","gQvffcFTytrkCAnZu","gXDssbg4xndx9EC7s","gaTK9iCGuiDnhdLx8","gaWPRjzWjhMH5tKQ5","ggFbMcApFWPZeTJs2","gnMSTPy8XrvG6Saeb","gsZ8x9ynfKRqePc76","h3ruzRrxge8i4gHFZ","h9eWFv7FjNp3eiQ5M","hAzkZ5xbciKJbvPLc","hCToQcvHN4LNaENkP","hEk2t7Q73nnRthb22","hHj52J4gKG2nXT3jn","hTLFBxR37bpnDpwYR","hW5QXBHwfobhJB7Sj","hahEkC9F55GeaZGf8","hbGP4JCtW39Xxyzue","hbuAZ7TmqzCJ69k75","hhDHCcuXNx2zQmwTy","hqMaQWTqqwetFdK5b","htKWyRGRYaqmw4xgC","huKvLnXp2bcGvf9Gq","hyMXcDotZdwHaEacP","iC7LDT3p34SpPnFRK","iFqgfWknReJAJoxds","iKYomyf6YP8GLTpjG","iKcHPnmy4vGhzPHgw","iXibRoS49Enh9ytbH","iYr5Rz4sMEEpfQSzb","iapbXSbqWnLNBnEPS","icTpXftEp2KXmEreg","icnhyt6Hfhu7fA3vT","iftxWmXoet6cdaT3B","igFGg4CX8wyM4w8Lw","igZjaxnFMtoNnLRQg","imLYC5Bm8nNEgoexQ","iocNqGABWGDuqEFKE","ip5qF8g4TbbXQiuYq","ipZaJGvtuiyQiyxR2","ixAv3xuJkohrtQSbQ","izjGquSBxqN74ABuw","j2tmGreCARvWh7Je6","j3Dry2384kP7TPYcg","j4addSuLfLfBjt2i2","j6vRX9dxKz6FZaEcp","j7e5K3TRgLiiPEPmz","jFJQ9bothvBhR6Q8W","jHK6biCj8xrS2S6Q2","jNbk98cLFop9HKMkp","jRrFwjtpPJprxTQd4","jXJ97mwqdYv3vxE5S","jXts2dPivToQ8C2DM","jq8eLWg75zAYWqeJP","k3tQRFRiH4zrQHz8w","kDXuDW38ZHoyr8urQ","kH2bSXPFYjY9uvynp","kJcZxzpDQcrsGE7Em","kK6CcELRbtEJZaJc5","kLBfpQJ4TigdGCJpS","kN5YTnXcMX53jFiXk","kNrakRYnZepY28Cqj","kRbaMFqjweNGRkDwe","kX6LnoD7BqFZdzzRZ","kaLubQanQGb2Q9tMg","kfZe9JRmR6H86Pbgj","kh538QsggcaPWQrsf","kkggQWb5vxqJi72d5","kpq3JXTSxiaJHaJkL","kqkPP4Wt8CosKyWD4","kuyWv93Ycyqk69gBr","kx74ao66KakpT7jee","m3oc28FR4RPRmXiqG","m4ZEGtieSsDNWdq3q","m9EGFACcc6aQe6y4D","mCfxgceTffNGYi4in","mMEpRpaf5c2d6HHpA","mNmcxnZWncoJq8bxd","mS82A6dBFnSRJ5YQP","mSPxyziY2ySk2uEX3","mY486CXtxF7rWR9CJ","mcf7rYBWdvzgD9gnJ","msfmBiL5zKK8RCbtd","msudPT7Fiee83AySo","muAf7d3QWQRMdMTjN","muN9BMuS7LFXaKo6K","muk9puxGAcouaoaAa","mzPJHAqHZzYR5Hbqf","n3jHzSBoP232zPuFD","nBFfmtgxiat4nPM92","nExidYfvEtjt5xDJi","nHGTRA6ZdxPNiuxeZ","nKXXYuLM588GotQCA","ngJT7c4XrSop3gNRL","nmgLrCiHC4F8ZXd93","nnj8cTQdZBC7PeKMQ","nt27gujodFShhQ84o","nwEB9i2cemRY5sg2k","o2BHhAvA5YPb5RhCf","o3uQPDKYj6j9jL6vz","o9b28vdBBcJ8YQ5Hy","oESR6AgExTysxKmE8","oLuPmq56q6ZrvB4kK","oPgAeY7cc7tEh3ymK","oSX2MFxJL59gJnihc","oY3EuZj6nD38LgJrz","oa9XCmrB8SbX8tdoS","oagvRX5yhf8dif897","obxD4Lzhppsfk6LmN","oe9x9QJQn6scKbN6o","otFCRGG82FuDjSiPG","ouKw86iSYQ4tsepjy","pBLeBqAi8JZMsJPRM","pEnvZYiJbNxeyNpuR","pEpJyZ5n2SRxJfHXW","pJTKNJ7GieY7GkvCS","pKEGGquHYTXvXNtM2","pKumRwopi4QFcfLfy","pLWYZgFM5GdZk4hhy","pLqYj3qR3jjAPqfEK","pMxSZeLzzB4GTviLD","pksZkfFt5gzemsN9f","pmrSKCJjTX658LDxu","poXB4TZ4bwz9qaoEp","pqvovpDeuhQLmzbpQ","psSYWsQcwBEXtAcBr","pteb7gTT8Y7D77L97","pyvmKAKqCsDtnkf5j","q7PEeGaz3dyBKMKNH","q9pMe3qw4d5PLQ6K4","q9vY2Z95pDT5ipnWp","qFqhuPcfruGPQQ3u8","qGAihNMw2Q2eFK4BB","qNuGDRDG6P7qZRgRu","qPvJWv33kANcRXJTZ","qWNqNSmn8EhRpAMsj","qXtSRdpu3qcij87tu","qZeFyRxTNCFrkSCTj","qcQxi3yGPHckpbqjR","qg77sjrBoZYe4C5Sm","qgFkh26NqKeTMgJh3","qifugFWJKoqwe428R","qoD6yYybyvRLgZaDf","qpYEwyCQDYdGrujib","qsCqvjbq6MLwhDa9K","qxkfF86L2ftSaGfia","r3SwHC6uqb6oLGkdm","r3pHRj8FzFvhAwz9f","r4g5W9ucgEBTbSD4n","r68uRu3jaPPj29Xvf","r74dzMDTpRw5ZAQau","r7HPBkCQWBsoFFyWB","r9dXhZrAHgYxazTbZ","rBXF78y2G8FZj9byF","rEAgXeEKJ9wj782qX","rGycSpM7LHvBo7o9h","rHHmPPNdzym4CLc6h","rL7HGyxRDRbN2npS9","rPnmJgmioWiSAru9L","rTA4LeAsw7Psmksw7","rZrSJAiGXCygLNTNn","rcmr5umCSjEm7prH5","rdePoME9uyvL6TFjB","rmXe9CtaoNsQ8PFZq","rnn4TntCE7Ep289Du","rovoeERkXipJznHNF","rrRyZejNrSJ8k3dxp","rvDatxuXDtgfkumyi","rvkpkD62AiiyPEm2A","s4m77qPRdh8s7JPBn","s4rMhCA9WhtiynFNH","s7fJE9PkJJPEzWo8d","s8WAwWN4ohAHXg79N","s9hkyRh42c27jso6A","s9yyWTEx2W2cDPkWk","sBwmRPEXerAGDxCyq","sGPh7wzehtBKdkz3s","sKZDXddyD4sKEWPYo","sLh52okY5tsDQcBmB","shFbDo2D3Z4pocK3D","snzB48eZ9o5DJCTAc","soCkSrWkZ5ASNuTr3","spMMb4voJNArEWvfN","stfecaxNHX9d9tt2j","svKwLvvNbe2hYQqZd","svmWpgsjgL9CACh4g","swz4r9TRdk3HdmHce","t4ygQF5SKTEeA7XDY","t6cLzwGFyHCA6Jt2H","tF5NZc75pTwi56GBT","tMDh8XuGg2neN5ixk","tRDagtKLzff3jpejc","tTrtHjtGJqwRDPdk3","tW9z8zLnu5HDTcN4g","tWhyWXPFSxCaSavM7","tXDdZ9ny268brXTYG","taFRhxq8aKBtP8MiL","tcjDdQBkGnNvh4N4d","tg8qNMcLY56DJj52P","tgXfcNycSZ8oCtNTr","ttxF5TCsPqCFncrFj","tuj8bNPx5j5LHBfG5","u4q6wvy2H8TmsSuT8","u6No8piJT5qZDosuf","u6gopyAZZjpKpApr6","u8gh7Jqynhn7FQ8A7","uASydYYyZxGNcshPE","uG7bceuXgAmnBwE7B","uGBoNQoG2Dc2xisF2","uGYXSybidMvPnf8wE","uKDB84ufxqLn4YTyi","uMv4W5crAATHfyeT7","uSw2rjhs78WGdQEEi","uZSnF7qh8QK2fwCAx","ucYJXGqDZPvyooAsZ","uedHh3CKks36Rg3N5","umvRwPSBYChfpC798","up8ykoq6N7cjKPPPq","uqwH9KuC2jgaHdSsn","urCHmXpkYdcAYPyfe","urY86HXhXtQp3KfFi","utFvM6kPXroDsAtsC","uwAFYmZYBaKNTayHN","uye4Xia9YB4BwcYxA","uyyNWwAed9yxckePZ","v2xzLXgyPDxyRJEng","v4e7s4ikJpTYJfDHj","v9CtRQR9neKq73TBq","v9PD5BcQPQniMAaCi","vF4BvaWbXWijTSZaw","vHHqMrvhxQWPzM2Cf","vKGgtD9bLySmyKBFB","vL4SefuDGnfrDSouK","vNyjvErbYhvzdXMF8","varNB87AB6DJXQLny","vbM9skqi8DCKjGP8j","vmqCmZbfzyBZ4KBeJ","vp6PN2BxbHgt83r5J","vq6hPqM6GSTqvGTCM","vzFRMCDAhpCH3aJGK","w5hSFQ45qhxJFzfTZ","w5w8HugbmjDzEGQ6z","wC9ySpS7oZ9t9QDCq","wDKz8EidcPfJ49B2G","wGQFrhhjdeQGZfXgC","wMAW6gseyMrzc2B4u","wMi8wQfixG29A2XCW","wMovkinoL4ZmwJL9F","wZKHQTRmAY658mbzR","wc7yuprCxyjoyZmax","wimpfBbpJXybmn2wx","wm3zx9NLPGE7uDxzf","wmBMZxtbdtKtCuvip","wybeKyGN2phrMviQw","x4F8DCYKry3xLpGCC","x6zSwhGJopWvWTLKQ","xMQ5SKrTMc5sXsxou","xZteRwRzEKfWLPZt9","xb9adakALmTT99SnE","xcLXzBNbPxy3aaCWF","xfMDGpJeDQfd6SRKL","xgRLL6bFDkwQ3HYYk","xgvKq8ypxsdzz9AAB","xhrm6nxbm9ndAwjof","xjsacuH4vpwG4jcjL","xpzkTemGookRCemej","xthygw5CwgRJvQejr","y2SBhGpSiJmfoKyfZ","y3tuJeyso2iW6xf29","yZqiHAfovpXpcDWyb","yakHTv3w3GzrWWYb7","yap7f3dRT5NHZTmeg","yavsC87Gw5HQJbHt9","yhL45K4fe9nqBDKXf","yoQPtGdmNWbktZhH7","yqyMTGCpL65QA9XTQ","yrwuK9TEvHExNreRk","yvrQqnrhTM8JDE9Xc","yxhMNWrBTP6uP23F6","z3ZtnkFLWFdJCaxmz","z3cS7zCemdMqrYoma","zA5SnQEy8pqhFXaNw","zRZsuuAaifuCRjKLv","zZWAJanrbvkg8xhFC","zZsjGH5gATT7Z65Bq","zatsAyzWkrGKRRDaG","zimuWiGSaaXb3B4wy","zkt9mga9xhyBFvne5","zqooeDd3jpBDSFeLW","zsSCvJZqoZhGoazoy","zwjLdgKvdbwCw8JBQ"],"dataSources":["j49aoDnSSLjzndmof","kxAEBDHXGfX8ATRE5","HhrFT8C8XJdJggbxX","DFNYHMG5naiXCbQWf","t7S757akkuDKXd4Lt","bNuEGB6D6ArYKZG7X","rNfpY7KpfzEnPHFDu"]}