5185. 【NOIP2017提高组模拟6.30】tty's sequence (Standard IO)

Time Limits: 1000 ms  Memory Limits: 262144 KB  Detailed Limits  

Goto ProblemSet

Description

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jYDqadvEfKjID0OIV0WwiUBuV/7bAi2+jkfLqhI/cHER5o2/34Gghom0LFw/8a4aLnkJ5hELtZ7BEvcpGLsI06C2iG747LLESI9Wyz3p3ZZrFydqjiYAA6CaKOvPkU0A942XCcf5+gbUi6JgLZRxw1xPgsEuxqC602OIxMAhVJHE1HnHRKwCAEPTs+q3Uowbh9VuOQ0duIBTTHCEzNZzgaTjytMiOleuwADvy1/WRb3J6XDrvQiqRblHY47i4LluZIGRgo9LELHnaZuLImCdQZbeIsU5pvUYKftLHeXa09X8UxPvnYgTpN4hh2RU4zLHzR1G6BctbCKsRsPEtz4oBi2AV2sxyPj9xyJMJJfB2SuQhGwYfMi1OBcqkuk4Aatsk0LpxHLyNAW9FauirXc/Gxj30sU9QWMCAF6ElbAsfW5UyMqcARKR56aXKwUY3BFaYlfWY/ls8jJAHA184SEuWAyTkypwqRdAMFWZs1SvPFuaSZ35jvETGm8wQsiWqED/UAokQVM+5KR9h5Ti2Rskz4yLXFG9FLKsA1OLi80jY0Kec3zMtizUsRkIQN2FKTlTROyKS4OhQ+7V0ECXEUmjsMMS9uK422U0qQLcG3n+YRbMynoZn+aoFUIMyL3IYyr1NsaYFTF08F3SKE6RHc3TZ0FrhwDKTifT8iZlVEIOMAuzjjG44OSVmKGlskNCDDKYG7divyApL1bEf0WwHpFokGV6wNY0MCMzpy4VQ2j2Z0DuCIg/3ZAnN7fshKai8JlCiNPSdWTerHgUFAzsJWYL19X+0+bK9VAoRvEyC1vMc97sE/AQHIY16MPvnEEpuW/tgzVq8bsurKCirOcciHeOlaMKMRXiRBzrvZcIuzUYH/aacLQJSLOVgQ1JOmNiCCbMjzGWbDrkAkLRik0mhDQP5pWBhNcRJnzyfiuQgQ9FAEZEcXgIJGOLE3kiWIatDZLcfKfN5JSz6cdOotBSNVRmsrIDYIP1AJsGKDM+M/xpS4MTBwbGcG76xFTqpN+9xBfgC78ZxsMzMZg0U5G4R0+kpgbT0Bn91njLmZvyZa5BGGdVcUaXYJMZ0VCQ/EGF+1JTGWzykcjpOkrMh+l1NL+QnZViYoJd2Og+EsN48ri/6yTM8/LV8wE+cETrrgSuQmbzU+gK59HWp5eOCkFFDauMDuIUpiW/SlOMEVSwxeEg2mjDPf+GWZjgcFKg/MKI5+yVBUZq7GkUQL83LNytuw/a/d/fDGuq/Y5shEnA+APLbOk4UU0GBbRKZm5xUszPYk9zuVJSLmh+Iz/REx260IUimXbfMWOiDQiY78wbG4BI0LORDkD7SI2zgiFyp1d45mE8pQxBjulKOxZj5jty6W5izsmydbu+ecSTnd2FoJyP7YDdQAK5ED4lnyhTEssSqZqfdomD7PEUtoB7gE5SI+V1ax/67gUZuAR7YMAzTLYhxWeBUFwEHYnJEQuAFvd6bhf936r+6e/sFWuqAFDpBnYtFF9hrHAkDZflNYHeZNFCSgggwGZqWGokGS4WDUDSuJKM83gItgBlwMCB009DWX/zDHA6VdeV7J1bW5Kxyp9mBrBdNZSySb+jIDxyP2DUFGBWDX2j3/IA15sdmpRsjHFXpxS5CAR3b0ssLoxR1oylp86nQhh6X+TnuE0znRxf9pacYEPTgUaUJW2NAmInJASQt2PFYk2LgICp0BGsQ2i73BR9sFLrZhBsAOHRv6xOxkSHriOkgRFaijnnbyawr1hCn24sIqD0XDE5mBVIDuHLboSKSsV8hhdSAI83FMOt/4xQnnUbiyFsHSh8qczlOQpxqNrBZ+Jdzt+jAg2Er3yQDxAb78SkOCbX6tDfsFKbYrRCmB9YBO3loJVm4bkLdInUZHoB7OL02WKOEcKEg5g9IVIAIpbIRH++ZFnizaS+JIIC7a7vnKmZNmw8b6JFCnxiFRQAfZBCeMWxAQJOG5Uo62V1NxijTHJGrZliN7mCuEp82QZNBUZkwKQ+1JIRpWU8g5WjQkROBATGquN1+93wRnjQbrAQqsbAjyK5f2rEnQ8rGt1nHR1NklGsQrDkktm+vNV3GI7Vm+/WVza61fpz3C1PGfYYY8AF//Y2F6XUQkxJKt6GKXxr+G4yx1hXCWggLgS7kOprAq7sYuofJswGpd840/2WYz/r+gbCCvzGz843nrTvs46/QwkMptUcH3huyBRWF2Q7L5BIJE+v/8XktRGr9ikC25o6hqBEuNtuUSmJhdUJSbbBIgllXxBD8r3yLtOAZdeYQt7DgTx7dwxqWG2gMesRQ/20W8JcY/n/l9kC7Mq7fphvTZiYdzA2dzeWy3Tbz0adciga7itYi1D7p3SWAnovPeJeG+mi6BLoEugVUk8O+nVav07n26BLoEugS6BNYjgY7O65FrH7VLoEugS2BzEujovDn59d5dAl0CXQLrkUBH5/XItY/aJdAl0CWwOQl0dN6c/HrvLoEugS6B9Uigo/N65NpH7RLoEugS2JwE1ojOXn/09pT/Zr85Dtve8fJ+e3Uv/e5dOK81k+Sc9SH2qtUcypk0/u+9t05mEieZF21mMpxdhg0L8eb08Hq/sm4J8K/5U3ijaj7xzqdktztqRZtCZytRH4A3jsrdu1hepfWW5LS+vY2uKIlXJw3ivW2vzC0aMGbxIoM3CaMe+ei8K1xUcdEL+PMVg9KrjDiZP5fXYb2o7W90UVKHZLzzPT2C8KZShxL+o2TY8Mawt3sDDVVsUMNBxYxR4rwIxMnZS+dWnRdHG4ZS7VAd7dG7iy4q4KdqAfksIphzXeEU78RHyZgN6b2Mm1HEC+7KrjdVkFhgGhVFK3pACKPDSiYIxyBx18vT3tz1IwxqG6Xu4hbtuxXjEJRSD1FNfzisMdV2UBNnw0xlNSMZzjhxJd4qXlTqQV0LxYP4Y8ZXovPVW7t5JQdnfl6/9g60OKoUkaJFqYWk0ZBeqFIQdSiJSAETFVEqQdP24zUqbuvVXN+Sr14WV/iBWkdHU66EB1WDh28KTHqntKGnSqVyVIBJu2oI4it5Kp5nRb4Sl6HU+5/GwzrOXHRmhViEpIwMW2rIeotPRQ8lSyhmqDlzQBYv7CrmMv06oqI2tBVFBRX6Ui8xkLpyWdsK8ShzxY4VlFEqcCgdEuFd3o1WTE7hLgXVvOSuuInSJ4o3jrol/tXWYIJ1oqYNbviYSf2Si5cYKYamm4UrcE4gyjLQRNOddarr5sc+4rqvSvAIYA0ZzQFxb2bHdb6kkpY1Kk4WhVUrveuKYKjzEmVu1MRRplbVAiV4GrHgU9hTJUcxIyUy1JpRZ4etNEX1DI7SSqnAR80dBYCYlzImyhLVxXJIKEZfUAkasmkeFfil1o+KHJW48rxhm90rrsZm6M5aLHC0CwF6oVyMoVMVakCDt41RKn+jMk5gQXY0oBodEbdUnqLoBmqTUoSjPlFT7FSiD/6Sv9URQlYNDWISUOeMsmJSbrxo40LICnXxBcMy9VANO9SlkdJMI0luN2yYmpQiCYB33FZQYSejLgmz8KaSlPJkWTiJDZCY/GBoq65zLkWOWLsafqqLNL+AEezBDQlEpDJGox1VYX0dVjiieqYL8bHXSGbDlY4SQFuV8ACRu+qTsFUFj7SbX8lwxXR2iuquIABZrsRHgW/V6QJe/+/aP/61CnUc3c1CZvVutjkRY4v6dkSqSJPSm8TletJMNKYqsdVuRMkQhT6l1FT1VhZP1gZJo9pTpYy21RK08n1KPakdo7QYxQzJXCERVXTd9fY21JOn1LJS2YWIDaKOFM0xCEJRPsqVrOwVlCpjcVdqNqYPU4OYDFQjhxo2IL6S7bX42ZCGlypnhUN1+tUqk1QOaQA3mVh7GnfSULCfgxG3XUEA7NTk4/ZJEA3r4saKwhiHPUWxSj+x4wcHoiBZpZcGquylMrXRwDp6WMa8RIjGaPCjzo4QpQoXw4I1kNrfWp09R+ZLYpvFUo1Mh2SIvRmQjoARjJOlGgc4sjnQJjx4BR9XoyPnFBMNsAUf2RXo5/ykHQWRmy4MxvIRkDmzJEwMCGZ4BtAUWum5h9JlUR1N4THmIdoJ4SAYaiclcGSrYjDlWgLwZU4ASyk+ESh+tSeJFcBiYKKXKwiInSliHmON9sG6SUEDDiNtF6QNyzKV/cNJynamkQQPwgPwVWEG7Ircfv4DXgAjpfWSSYyxaoVhscp+8AaYqAbzNGiLwxiCmE1yQAilqp/gypasN7BMqVWKTiZzcMvBg0wCJcOWMzXOiDKyDeVA8QZAItyyPTwoTed6DkspbEmqRylRpTInGjbI2dRSOtsma5dtCC3K3UkjKjErcl0aYS4KJXAc0gVO6J1JJLHiRypNqkMLPWUnIoparHCGlNg/30/KaOCW8FWm5HogUYUjIUdZ2qaKv7QA8ijdJUDyTUEOjlmjDIbehx7dzDIXnfEBMuhDisRXVXfEupUrxIUtQNlYJH/AMQQHByq6MRqZGuNopvfVRf5skfwKTWqroWRGIhUjsClj6OY1OCWZWo6TswsGWW9bcqpmGOsMt2wGrF/pgD9jo15s2u6CKmZKf0w57vqKsSykSccW7vfokp8gkylwIczbqkv0yE2BNBUFSYZDsgn6iy7+inwo+Zj0HIIQIBFx43SkGNOAEFz5Y4OwCXqBUwBF/BAXmYI9FB3lKqyRi0IKJkJ9kp1RUWMgqqFiQLLJTBVaNI44UX+ggJU7X4KPtlNRC4VMFL/mz7wL/TA9SU6mGzjk0vZnpuAYZrFf8dOCTcUV7k0dIIlnErtViw2g3IaJuOrS+DC3JyieLE4jZsb248oEBvoEPy4q/stFFRqWJ/IftsRy0DM2+30CTM55ph9yxpiGvQhNsQF5sfHpgpbZahAjwJIoQl+8QFznL1TPvSkLTQpqvpHopbtq4GCXmtR3FbxFX8tpHJ42IZ0PIfAXYCH7wYn0EEjlcjTMHpBtTC5jK8kfqZ5aFcMk0kosMDtaFMIZJzSHiVZUCbLtl5TFD8BtOmrFLWZ45RDHmbdxGLxCo/DOyIhznKbBLG2tDMj9wZEsEBAP3ZwdOpbRFzhaPmshB1PINcPdclgQT+kgC2W4G2zxUwncRFxJHSU9+csJ/DWOzMApXGo8aYhUrWBuCDpYFwKS5LO8L2mmG7PQ2TTQk0CdBnIGoRW4WI+knYAYn+qO1JkzoZeASLFJWTrDDRxAK9AnXAwlbuUwTnQCClQuutrx6SLcVTwyKZsQBhklBLSNtVrRz1IbQScbaBgcL7JTy4u1gXlS41d44HsMiC3KayA1z6yU2pQBrVgbH6Y2KnTFBxBwuVi+xVq7Ax/juIVDgwMFGuI2zEKtSPWC+Yb0wV34Yr3EyC7TXi2HneFN8ggQDYXAQqRvMDoWi20noayNh7NLeQFMjFWALYX9bMllB8PcHKUZWRUPIUaOqpcjl8gBLdMtwYPDy53NjiuLMm/j9iipQ7ZFDjTFo5TKjdrnxEhxo3vnRqTDr+YCcJJlfMZdWbkoK5FxigUCUkruOrBCCUScdNOCSQFfgyOkJw0EN1ZEhrpwbPkLP6QyumC60cUIUmZziZfMj2P7a0xJLkGJE5VbcM/+3aJKGbcuDitlgsakmro1pnFeYBV0SibEG+MYGY6zfPJ3ZVkj0R3i+1SuRts20aawn5DTYFWUEn7srszO0XAVFgW2+CxhCvaSR17GDJxUyKbJ3KLq4IRD8obiLMisXUYC94nXyOmPLAQ4SnKZhKGAFKSGIX7SgR8JZrkBNT55ivTxAxS8JoAP8xLeyAD8qkg6smgEkSpLo23adxQOWNBbPmSkIzANc/kpfIg9lrloX0w1nRwU24QgTtOvT8SVZnyUeObXCWiuYLvaJ2imegc1lMXZ4YZQ7SzORNJQAnS9Gbb5Ogudma+MVX7HSeQR5jMNHfiJSSuBWcJLjivmONO0iXbIhUAqBCYETyoR6CSGLDgsQ5RmlJRHMUCfgmU0PLDmaDks6zELWJS6mp3RcC2AlQRNg59LVaiTq3j8RcHj0+YAACAASURBVIiN36InJlhmUdqWEwZBYZSHTxIkPssRVFCyY+mbJViO+B+9mkkJBxBQErywKYaSUk4M+9C6QAJzrY4FQ3CDUzDUEwlCqYRp18MyZIJcxRGH8bkWAiZFwTkdYwIrxidqWTNUYvRYlRcTqbnspyLXCzcgDXd5iDUyI0cl4iXA4jCMD885sihItg5hrBcDQB9LZAjO7HDhb1Cye9tDWQNZOQ0QAuEpGZo04GYFdOZIIBjWi1X4FDlsg0CqnQRYkaLSAoI8pBLRhWdGTx3EyP2IBWOmztnDtCwfwgIdFYedhsFEz6n4p4y4WoVZ5AfGoSn25hTCFgSay9+l0ikieMQdICN1Y4B1odEFgoujkpL0ugjnbMn2386GnKv3smeJeQw730iSjQ0bkAUCOiZiTqI4PvEjyxPUZYiAmBs6LJZxyxt4KCnhkJ1wwzgztBwWEoaaIjUvM6MLxiBbInPwx+qIVxBKaKYIXsByXCFwDcgrz+U4zJ75JWgwM4kwO/QAXC84A/WAF417TEKqgh87lyAPfyphQgjSIxmMD5sBR/zR1sFFa6cO/NApNlisXFOCxW4lOnyQ+/A4THqwxJfxr91MxADIU9iwcCjPWhgD5q3R7wsjZhIyJBsaUvWV+dlqiFXES+k8MY2kGbl+nYXOFEBt8aMS9o90BvWwBUdkxKRM0zGoua0TMe2ye7ZrYfjg2ESAXS7BOCAUQaAhGktiQKCcM/C3UWg2uOkYk3nlcRZMYZzZdEao64l2uB8npwZXCE4vPiYeguOgAW1SP0YQX7HBmrWZst90sDThhMsZ3y7bJ8gsByoB2fha/wIUociSJRSOL/gbNdCuLkzBXGCFCcpnXZdlMDg/+2JeeU2MIyUhBwbEOFxEILvhBtIHe2fWgECoYGroCcGKGJOJXBHkHFxQBMzVPRmzBCc/4JsvhedInYR0EaICU9ITi0QY2qpEDqmxB3xNQeDWJfvguogNxZck4NTKIqUkVAPdqJWVW7KOOeacBsOQDTEnno9DRmLJDjRdjGfFxs9xTMTlYAprZPFyYSmqGemdFuAIBhAjE1SkeCRJ8uzBV8uRCsgbaKr+7I6ObhF+qMNfBzVGkBIaH2rL+4QiOYRUkVfDaNrBnj04JyQKKvYYSpoWfDJOOnLYQj48iFg4QoSuIGBaaAL16GKmkaQQNmyIBMxJJGb2VAlE6BEOOh4VQqqRcE8xWNhGBs7o1IZD6MJtPLtrHgkCWfYm8yVPg5OMHQ/jrOjJYGAWhCVqy/fhv6IdHgRybp4KpQj7b+qTrhEIa2dFMM6kMjk88Dghc7gRnJYAFALuFCqNsyWyNHAsGvEgqU/ObhABgz9aEUXbR7qLc9onMTxgLMypTmexRpPzSRAjbSJnqYxghkxHbut5jOgVAGVF8Ao+yPAAZmbcdcxhexY664Y/ZgReGSjORCEozOjFEHcjI2DfchN75DRQvCYEAAhwXDkgPl+Jj0qACAB1kGdJvKiSaRtZLJK0ckioQWG6CIZi9RCdARa4B0bMC6oSLuchQari+f7rgjzLRYHd3wh0pgC4kcjAHQZn/MTxhhmzj6Kz7lhiBLIkCTiAjo4GZApAH0pSj0npldvIDTm2fUAmEejxSZjiBIRi31Js3dklpwrFJzMES2KMw4C6sC0AB1gdOotzrlg7IQgP5s1eGjId/OtVL2abBrFqU48MDbiEwk45oI8cUP6SlMwAelIZAkk0sQgMcSJBeqMiyr7DBiHIml1nPI6zQSoRMWJmbY3Vl9DgjQtJRijU6VBk7tQKL3DFWmJ2orMdxhho1gYNFsLqZIvyo5q8WClHwgNHBVJml3QTnWjHUU1nMwE9ERA7q8MDaAZqjEo26qvEgtmwcOPbfHAWYBSWzCRCmBjDDOL4YInWAp215xvJ/w3Q/stJJTEsSpwOl7RGMuQjpAofLcrXBmpjFH2lz9rSOpgoy6ZE6g5JWkI1GAK0iRR1hC40RAENROi6veNZAgCcssBYtZHxBsU0sEQpdQFCplSUDYBImmKEvIA9y6wlniYioko/bEOSUErEVwSMgVVwZLmI+MqPCIEWhn1p2appWfCA4HRK0TZtUlIeQRRNF4gvx+fCwjN1c4HQeByVUKVHlFYt+w62LRmBfV7gIcaaAUe/zkJn48pKKMx88jWhTITBt2c1AgKYC4hkCg0Q6FiVOsoBxfvoK5EhIHIEOpwnTx71EpylKgzCaMxIEgoHnTyELOqwrEFsZBkOdm32KRgPCGR8PNmOieLjERxWOU+MgEaOkDqAg6yhDlvbjDuy7HpRG5MU77BJDsUEnUVgNSTDJvBvmynXs1IfqKGLRJUAc+fhCl0KQnCZrYdeqV+voTqBhcMHwQzWAxTJJoe0kNjmsw9+2HAYX3mFJeBteBdYgDy8QRZ3eSZDJ3P2DbCG9DzHQ6EwZXfj0ZB8U8cU5rDX9BWyZVGSAKsT8Hw0hl2wStQA0XK4B/gjRkLT3eyxugh7ghZmkHE2eRnfg6FUUMe0RpGG0MiTYEG/nQojtIuSFkAHQNN0sUzqdpFTYFKOHPpykaLFxZChr2ySmeGqeRhFWVaRDjLTSOgaP2AOoLAf6bnlsz3XrdQsshOZgeQXVhoTzFET4TAkmsUwzsMpqgQwD5jEG2MyD0PhP57EMgnuX7sYlj3wQbNbApAicF8tMHOagCHXsRR9qYBTg0sXtQ2SDABWiTOnc5BFWbIrOCvP8DADV5FdITaU8xO8ESkQxyoyy+dE2AgksWrROjjXl+QR20MTC/CV3hFdzpsNfsrMuB510yat6SiWa7Co2EAgNpSkx17cMqGEHYAP20MGbVxMf0fsIoZDv8TLlUAc+ZNGkOXsixr/FtAiCtctjEapWSrnq5w0ia2E5obYEQQ64i+JRxsULKQ7UIb7zvLIwqmCTbTo5LAMxFgkc5eSB5IKShIWBmHn2wxI7pJ6vsfI3PKVyCJu+wqyBedwIV8letGdPhxFidLiW1yZ+EvWjCM9qlLSmf0Bm5YRe/KGQ14UJ3FggqBcRy8Z9JdV2W0xSp6QoZ59OzpgScwX83xMQJKnsINkO2ZkmkaW3IkEgMBFcvM8QL5pWGpi0NX6o1f8ZWH4bwaMW8559WWUSc+Lsl0blAJDgR1lsc7mFj/BT1w0HZjjk0Acw5Vy2MYY19Jdzo5DvsTwYo9ViZGZHZ+8HQ82cOIuei5K46SaSteLEQKyuEKqnNAUVMOQMoCRFeuCC2AuKJEJ8CGoBpuM6Tr9WpSOMrL4DzO8wNQO+t2il2CYoCiUWzIbnFSlGNaMgVyYn2kk6K1X/GYYdpy25BqMqpEtDnmNRCriB8tH6QzB6tA3KsOqYbkqfJFGsEkGLB+MlRIa5i3EV2r1wENKCPgkUpyU81qsk6X4z+8OBPAm74mVwjXCD1GYmoi4ufFxJZy4i3Mjyy3APffxuDUEQulMixaqoWqTragsjjpd4R144HHD5WDYEQ2n1sUhGOWK90SEAUIYgiOWMIwTXEmWeWtsVV0JiIslGEdKGu3mr6dc+K/61Re4SV9QWrslywDM7lyRg9vlkCGBN+PUr7PQWTZhA2vvVnvSk0MGjyBB4VA6KNkHEAlbrx1rGw004RIkGNtAqY1PpYF6MIIduEiLTrhIQS4jHYZQ0m3rDxVaapBFdxxKJyOGx5WhVlxnrGYHIvQdZKN/seo8jmMQrvy0oaEJWzNcmcI4MnQZRyTpKB0U4ITmeDKXdgUuoLfbYoIRdVzUEbzaGSCWu7FC2YQEAbGDDt2hj6M9YUnEFlGSB/4j6dPL4YPdkyRRQmFvUS0b/0KXSeEaK0Gc3aMBsOCIEcLCrIi7cq3E2aSHKZ49+Gs/2wRmGywJLIRKUYMkJxVMk1obBMkBo4FDp3XW5aSSd8lGhSvKHaKzk1/JIF3rIqIwj3j6jyXC0SsDnpH5m+tw0+Gmhtep8AYLbP6YkI25vRoPRykqQMwwZqIT4VzEjyUEh/kXgpBPrB0bFAdWuDHLhBe0nDolPVqjdCzZ5UQGQF9U7/+ryeZIxrCmm2kk2MuHJcnPsGFACY0AFksDE/4bu0nZOVAgDejDNzkv19bGhmSIPFmdFFKKw5t8dXxBca6EVTAbCyRtpm4Kw8Jip14WLvlwLuFQxUlU7qHZD/lLtuRAgUrQ3LykZ/9NsAzeBigigYsG5I9G5rYazbrwgN6nuT78KtQJrmSlYRWY9HxeyKE4rDrFpghsEJGpTUdBzmnNTomyT7rQEXuMkOsB+uEUcQXPDt/tbh3cS6tDm3GL6iVhfMojaF7pVNMV6/IXM4yN8OGniRYNvqlffTWNQMr3rHn0A0kZhAWM3o2L8E5gX0QgyHjSYiKLcTRhVVYbxITiNM1GRlIgdKNsBtGLa/nbXB9+lS+Q3TSfetGWLAm02UkNB6FXETiuR7wd0tQr0FBqk13qrdpmMcIyoOcVJDCktxmUsHgkkPyTDJMaCgRXPEE+okudIto8tsqKTDibkCwiDoknrkABgRYKJA3ePB0acp4E0ZD2AtYg89epglNgkbsh8zVXqg1wfZImXg+jqbyCE4gMEPOKBuE4ffIQAljkaBpAJEcjLnECSDmkSpochA3UNeb1pqGjWBXZd72FH6EXYNWLw/ZMIxl2XHRFyiYX8WwTKjlMaMSCW8pKFzMIvxPJGN6iAet1y6Q1tpryl1vIG+yB2KSEoxKPtuWtsrHRW5u/SOlyQcFGdLE5027USuM2r2kAZpR98wK5zsTs1igKihm6VzI2zHNp30T+VueqZBPt9f6uoJ0LFm1DFgaH3XZDHCbNGiF31wqYCEzJHf0087IeuU+cnExT1rtEROmZm8cBon1lzWcr/U5u82cBQz4Y+9ydzOrO4Y0ByEZ3Dj97gBNhSTIe24stnG696LyFjPahugS6BLoE/qMk8J8V4v6jVNsX2yXQJbCrJdDReVerrzPfJdAlsNdKoKPzXqvavrAugS6BXS2Bjs67Wn2d+S6BLoG9VgIdnfda1faFdQl0CexqCXR03tXq68x3CXQJ7LUS6Oi816q2L6xLoEtgV0ugo/MeUp+3kvyX9S2fzNslWaJl84N7/cT7F5sfp4+wEyTgrZCdr00G7K3LnSCuHcjDEuhM2SrOeNPRC6Aqnqg36J1m1XXJd3RhXhL1Kr3Xz3UcJVjqopoPXoT3zrfRFExQL0n5gqVG2CpidVi8bwptY0Bvoqvyk6VechZiUdHCS7FxBYH3kvGfBKMNq1MKw9v3RL1Ibl6TzVtKkSlHUGtujA475yJPthCv7ebS5vSaoDEgCXgXOWi8M60wy2ZiiSIeKmxYu4+FKxKwqMaWuRQ3UOZFvQ6mYl5dJlitt1CqjuZ99EWDBzEyL/iOLocALVxtB5TqHHht2vvldYoV2vPHVApVmTBvhHoJnoeq97JoOmVSFGNplum9ZDXtFnXxprtqLXMshHt6h1uZjukI4fVupWOQLZqRnL2uSZWVALaoRjCKPLxD6RWmEvS6exubw44SB41bXjRX29J7rXUWnI/qt9Kstb0EOns7U7EPJQtUeLFmBVzUkSGFRdJXa4ak1APy6vPm10AfzE4pBmyoa8X4VERUxMQL7IsGxxgvBeVqpYsTHHUR5VLX1QHwqr7yF9ELWKtEMXx1VY0VNX3UCQsytU7Uo1lU8QQiq4DhdWd1PNgWdOBgmB8yRvKqp6tKw4sIQQEEQUtJmobS2hm04iEYUCZCXXAVo5RVVDdDGQR1Dxp6X6X2xlT6x3vqkuhN2iWfZyqiOAXhGZAJOQQ1J6ZyfiWq5QENCuiuBqZ6IKTtZXRIsci0lL/hkEqFeANb0R8RQokfxYmw0SycHgGx6hCqtcAddw3OXaUdjC2JTarOERCBaCrjKBuiIqAyhwpbN8Chi9oUrA5A45+oMbn5t9hnjknU4gH+VdtRgoanqKPgVwXi1wlyORpWJML5y+qU4rJ2BcXUz1JGip0wyEqcbepTd2LUfixWsTqBMADBvARu5KHMczQNE6GvpcrqXW3qAJrkbF0KinI9xQ6lhsrVqnNUrRQWWQIGqIk3MT8YpcoVBzFCY0sxiwqIqpVSJQSXR8q04jrrZa6WoMqKihxzjLZhe0u+zqpRlzNBQ3AAKFX9YPfWoCp8U6UsiYmVk4DyLalKQTccUsUDIAv3jUz0lDrEXD7JFaWTsEbaouSbcvjqJam0l7xRlSI4QC2rprESyoiCXkk2bFiyoC0pUEvIXbPTKIvJmmS1CxFlnVJgbXwOzw5EtUqmbV2SVu7EjQ0o31GoEOcNma+kCqGMplaLijYqZ5oaV1kTDg1sVWHHilSYNLLf/hFRiEJH3YdjukKnooJKWuw+8g4jE+MKpQPIVvEgQYsb2wFglaGLEzBiCFICDPMQtDiAPA64SGF85f/YUO0sjYcPy6G4X5SsU6MuqoWQQ117rE7RA1sKGtfdD8eQOSccUioWrBCSIAqVBAOWLACwASMTWg2lZqcXE6m+pmyehhhJuXjGSSNSkldpJIpNU2WYh/07BsJsGvo5X2eOSeziDVuysSB/whdOCEG7qh58Q1L6VZtN8FZcV/089Y+sXb09hspygivwZ+EuRrkVwlcDMyrtNWybRaoudPkbxdnVHFa2zUSiI4yLarq1l4QAklKNRMSk/LTe1UZAzjqquM3lMZnlixV4Y1TVPhVuFMN4PUo1ntTeU45OXUmBNqu+xPiWbxfLGaXtplCRzsJty3wNAo7ghEBIM4vopSIj32l42wNfl0NnmRc9sQAbdv4sz3IFFoCVUV4ZRJaPYd9VlKP0iy5yXQISxxSCYkn2qjZEHIOt+32pppdcSRhkzUKrWouJj5XMgGzOUIHOQIEXSRk2RGdqMyk3hmXqT7ItfSnYmYAxVanOHw3gn3xD/JDym4WTCDBMh9Gw7+oqGPOV9YsrsIkPi/+jcI/SdoS5Cy1onJawMwUwQxS5QOrIKrQyO4Wy7FXx1kwa9PgnW1kJiflBI2atFOTKIGJMXir8wGi2LipASTYTRmL5qrKBD6rhOYiFOlACH2V5Ku1FmgNVLQ0nFXYhKauzCoX9ZM12ADj3Fej7CwXq6sxOmDZMDAAzQrUpjKZXSkkDBCs3LIFiRcZhV+RAZYqC4qGaa7AXfQ2uQjRFKHPMJuuA2tTH/AxFhqABKIsN1kj79pGqNrpVWW26j36dOSY7FGwokYdaL6iyCpZJ/qIdLJNUGZ/clPSEO+BM8U8NxibSQyshXFzXJeFMw7EM/LKf4yA4EVAtgUnTFwFWhqUC5pUrqCVJTQBXW/SKDXelDDa4Dxr1eAnTvFwmS48GsdkhO94w1nQXV4TPKkmL5exAya4lfmHHeYXFAneJjhSBQslB2oFPGxoaV8oxtomx20iwclcvg1gmdyAZ49S5GmbW9HU8k1o0GcNV/1fRa1BLZPat9oPS53rqahlwCnqqmwfLmAt5CXoSVbDi7qLBF13XhZWLw9TMjAC0eRXrc4zrHKA6cB3Bqd9+++0XP8FXr2uzGBtPcCwvoBVXeC/emIgrpuN+Llqjv9EOtp0S2ALL6dRN5dUQEPrgRzwQYMG9ArK6xEf0Yg0GBI6M2FYdP/CCfdtFjsrBAjkYZjg/Y419GbwOJmNYgQHqETg3MA4IcG4zAaYsno0q1zsapYzJ5uC7rbqyirCMORofUv9rGSv9A7OAkQya6mVGxmAMJMbcJae4Ta2BBtYfX4kx8jgOYyuKOCcPlZEDeUps4YUBJVxCnV+ucs6TnkOwpAeheLXTIbHBEYfwQztu6Z5jaoBLNfjNK9YCFDRQWNgQYCZ+dsDOmlebegjNxnTgxrScGIiLtg5R7hmQ0abVSf2S1crJdHvmmPa1akazUikCCycZDsuwwRC7JYeYBfSIWEKI634WgExYiHMbOb42fcVv3AQxUdj4g1GJi2gkh5U4AzjC54MN2xRHpBYoUyZP4ztYIKW6C8kujrwMSCAiBGcxuxjGWaq1G4p2ILhhCcHdsCIrZTM1fBrWV7ArKjAwxsM7gIaI4pSDVUuV0Mj9LcSejNv66zCAhVA6BtgYZ5FAINOdsmQ5QhqLtRtYQWu50pUbs3JnroJXqMEx6AYugyf5Gl2SUQacYELOYishP+J1YFqYJVA6XplFxmQvybVAodAqpjnJYoLmJfTRYclaeuWsyt5E5kLijImsBRJAKV+zR5ZOMgtf7adYJ3cScmnCFAzLvoZR2vqxCXmZmOTo1opkuFbH8WwV2Zx9nAQED1gCNExBm43K8rgohqVO9lmQlPQMBfVgH8aCbWmIiWQ6cVzDgFzBnl9FwQZokzswzQYpzOgiWyRe8ocspIGB2PdxyJQJg+OueGCUeDba6C4HKkFnj9GsSEpiP9ToNAec2aAycZGziSIMQNorivNYYnSsWWMJlrifBWKPsviMAEw7rpNnTgdZrFQOaCigQLmyIVsfBAwjt+G+8iJyU2BaIIRB1u7XXvihCCTgCX5iZAwrZQaaZhf7lWNHwLaZgXiM/5y6abBkvspORt1VTMIqs8EkncoeRFP27+TEmQxLaEab83X+mCIBE+KejjWMrGa8FYFddij3xEZMZwk4IRyilsSQAGVJp+A1j7Yuomai6VzoiTp2GMTu7Et3ZkyP5CAShLVAQ1sfCRnMpSk2b3C+AMqH7s9BEBMUSobH5ARUCiIloRRSc/MIfmyDqRvcQy/xXvovHcGAnUEAbiyKZjHDPHysK3auCOwSGEMyYGnWYock90IGrDBsW8AHWSDjlGDFs3FdyAQnpGqxczS15TSz0FlscbpPK9ZvbfzBYiTFcAEeiZAVEQABYoyCSBJn7lWIKyyAmNgBgyNKI3sSbV9vn6LNcImPA8Sw/IqC5bbCo8gsADJNnibJtTcBeSyGJ8viJTIgm3FEVJcHgQaWwfEMxWnNAgSNjBgcc3hWC9rYKCBzkWoNKCNmNEK6qRGHPcnaYKJIphejYX/OW9m9KWQKEpN0bANCYbq3HWE3piZYKAZNnH5UWUkoPMORQYAbgmX34fnEiyXrJXYMMMrUBTU5/RBZTaqtF6CkSucAdXBmKhPBrbWLYaAK/5ZmNJqNvXDlZE5b2BD8hDcWb42sPBJSbbBbR2Abroigjhcd1JKqHQzT4pwZIUA8ZRlNxgqXrVFWCFA4lbVAmeFxNmQkSfk1zUJ54hIYBFRbnJydh8uyLZ8kCRYKgCT6ogjiij1TEteGVeibcs5bJOwDQQR7VieQY8PqcCia6pKU8xtLjYklxsBZWBRZic0smYMwHmZTz8ctkBht4xgeoyVzoIZVDs5BUNbVGYd22AwarsenBAAqZlconUvALyZtB0N6RC3j4bPuStEg/vCHhGQScnDpDj4NDt/pnUz4C+aFNxrnVnKyEJTRZB7cHzGd2uRxbb5vFUGA3hYBiMuF8cbIZcTSXvTMmGZruDUU1fA7fZ0+WzVi2yxyIBAWomFGg3Mft0BKlUbMuGf+zkJnrJC++EYKsIYv8QenrrTuhG4R68IjofBPR42IN7MeeEFYTITxERlU9TgYsMqDHGnZtXE8zkym9u/yBQgoAFIVO9AFBJA4JxFLEhkn+KFR6/ITPtINcMBKohf1Sy2BuCUzOxc9K+CNEl727W4gLN58OLxDRt4FdAwISgjBaC5CihCaEdIEgx/MM5e6uYvrLko/AY1MEO4QhY9JJSb4qWlm0BOXhFrGYdNDRDDI8qGtXR4Ulp4wcZTIgL6TcbKSjPA9PsBbRB2bxBhq2b/GFNv4j0wEKvFYXs0VacF6m1AtaMncWYjdmBn19T8oWA42SDWclrFRNLi0CsdZVAl6CFAeZwPnq2FtSsCHtgGBu0d8bA/aUorYYOMi1gpOvtbl8GQwYZfDMPTlxtg2sr4cu7p07cXMMIPVelHbCPHra5zcMhmtLBI4Og/11QmVhDoiUNNx4utSY2IJ2+IiO5T5siV5MTB1EMRI6iw49FXwkMqQm46yLgsXnsX7OJQQtFxEJqsgQzhlRUQtODEqCUodMNpiPGHCfSLShQuIqTyRPdsVBY1J4WZuOg3Ikf1111/ZQJMQRI6MSdbOLO1fgThWTeFWaIGFOJRz4MnU4UDYBs9iS9gWFz3DQB8M1CM+GO2rvZoMzJF0nFbFcajB8SmNo4LouOf//j9jnZ4exMhAyciHOBxF0aUzuNFezBc6sHVaEXzQr+ztcQppH0TufE/qGrqEU5yQ9CFX8uAWQGSXZnSRV9ArxXBsRlMpowuvFnWyO1CwRiNTG/hj2exYKA6CmNfJA/gAOgZnqRhzF/iyiUDnIKZjvgEX2KiOwjV6mwn/38MRB2twKJbzZgOriIfojED66cMcbQUi16aI7FgbFgtzZR+2F6DBwiMT5DyQS2yDGg4EzaVh24slhghJBRtLE31rnlVHntPGlaAoZBoQPeQlB34uTpuREOogTmZ5Ba7go+uyTudLogihiUa2IOJc0FsCvDYCOdORBM0SQiOuw2tHGbDJCTuQtdOK83rZMd9zxmJMi5XQoeF4FGdYccjpFoti29JG2pfoUaIoRQWL0BknrIKQ60JqW0KASUghExQPYtVUb3D5jefDTZCofRe154yJJfHGXzkE5pmKj4M7xkZQLJag+IspCBDMybQ4i4u6wCCOAKrYbWa7uju/9ktX/lIE0REyCRMvmyG9hltXLFxaHXtrZ/ogkqacJNiNhcxhcY4f3f/JZhvq4hZRQ3M2Y0XSmjqdXpAB52Z0HZlsWgrCcngHemcUJC+uO7ZyvM7dfM0RZAywC6tWrRdRiOXMnkDC32GFEGJXml32fGOJp4JhZPIswRnrLIwnSyEjDjess2/AJBaRi5xREmpLUmnInbiFQVhQrw/blAqXwajtrQMNezT+ZgNidttwkdZE2Ytw2ZAukkR24MM4MOPsWAYR9oGYRmkXD9IBVhsuRNMGhywIAIp0kodLS0P9LvJbns9W2Dr148pFGzGBCr6gTPTHA7cXIWy4aNRbEgAABhFJREFU3HK25X8p4I0PWLXrQj3Y0r35AA4Z1oT3OrGxXnLTEcM+Dd5Zl/8bxE883rFeBA43chYCwZLzd9okEMAtebQuDGNSroFtVk685AZeuSK2defDck/OKUDmaKMNShGKmLu7Eihqcv4QcYskq4dgFSzycyknXYgoIiLwsrkW1O2UoQDGYhZswHHdqYbkcch55GVcHaCAdVFBlkQXsMDIggFlERSbsZm1yTCyoy1PjUAYApT6sh+4bKVMFHbjkz1zWqNhaXSBdDRxl8B5vvzAtj2OenGui8gK40T90Nd8eeJh5pgQHEgRC4+L+IENKBwxjAc5hLVwA3I6+hWtbSkEDHJzOiEdJoeqIJS2QVw40kmhFCekZGlQT96d8iEQJ5+sRUO+4qzPelkXa6ECMTJcbyhS/DD44fUYWXeBJB0wp9PQCzqHeehOs84DuRV3c6ICamXxdsDWKJthALWvtuVLHwnERkEUsRz2BmHcijMoCmJIDm9DYk33PfRVjN3wA7+ohB1LByRZzmikio5s+LNFUr/sg+5jHJLiKvQE+OIKIdpZcBWDAJe4KDdBw3pkNNMMUANfJX1WLgFxssHypANAiimADLsPV2IQxgRcckDMaCPjJ57MWEjcoj+6dChhQ+0uM6Ih/PBkKWfQSCrpDPM5mgZm/DUdRcZ1CZewLN5y8qS0TKE7Zof4nBO9ZDAHT8psgAxm5IhGFmnMvF4bRIpJwSkuCpOsUDipNE3b6ogdJDXX61cpKvnYg8smbEd4XcgT/ylYIAtw7Spy4XWEbEMHxymReObFaMBWZx2pgnqX/DkwzeI2r3MPET1k6GIktqSkjZ752V8LLWySqJNPd9mJs3uY0rBqCnHRJwRoKKGokZ7pbJ/lUMyD1pKZaJglXF0mGJbQEPiKN+4gZmuTBpECCBuChnKmPKPXzDH5nTM9I/MIAI1DYVhD/LN/5afuUg35iIKg3OAkLJDrqG3t3MH/eq6s0hfFuWUfaV2w0l0X46DWQU1oxEXTpd5NASK4j2yA45OnDxtL080p9MJtMJAXs+GYRVpjRXlFQ4SQYQjSgrqJXEEADdJUXOHg4rFYa9PG/h2wsJZmnDomh2Uz9vcsKsbhqkzFfyUk/Eq5J9tL/yY317X/TWfgQnIlmoNBwTe5kFSzJEplEGzFLskIQcl5LL5xoeHiAa5TyzSL6sCIGUqGgWHfvIIsFJlX6MDUaU+uWwt3SgLnNjYK+XVRwzhOTgWqRQRx3SpkaoSziMw44Enc9qg97KOhdNEsdRUyU5aH7Yay+SpwpnaaW/FVFimtG71VL878ae3apbZJQFZVBV7vbti2fOud2R3mOj7ixs2wslq7KJljc71+NYW9cHppvaVtFfBuWlzmTQ3SuE3MqPyXkuecMc1igZgEdh4t4MFatDmdx4OOj8N4DFUDDw5TqhLJiCvNqmEoFM5FxV27Ez4SKN/Q51dAIeOOx7l5sTY4pjNxxxH1YrbBiCQp2cvrlsCWbG0blpIgGsxAGgemofmE6yE2oD2HcDK9nGb8dX9d+ldfgaNYKjGJ7dLKGT61SSgEq9HHCysPu/mOVmf/LpA4X3Zm5/9CbH5MI9gfcR7nIRNyQyNZkBRMnGxUZoIehxNjVvrNtB2PyIacJ0goVhuHA3DFPFxabZA904tg1y3SzctzHaKQr3hQsYefgwFEM44eX6xjjbtozKXReRetbTVWpc8irZPN+K/sqw3Se3UJdAl0CWxSAh2dNynA3r1LoEugS2AtElji/2ysZf4+aJdAl0CXQJfAmAQ6Oo9JpV/rEugS6BLYbgl0dN5uDfT5uwS6BLoExiTQ0XlMKv1al0CXQJfAdkugo/N2a6DP3yXQJdAlMCaBjs5jUunXugS6BLoEtlsCHZ23WwN9/i6BLoEugTEJdHQek0q/1iXQJdAlsN0S6Oi83Rro83cJdAl0CYxJoKPzmFT6tS6BLoEuge2WQEfn7dZAn79LoEugS2BMAh2dx6TSr3UJdAl0CWy3BDo6b7cG+vxdAl0CXQJjEujoPCaVfq1LoEugS2C7JdDRebs10OfvEugS6BIYk8D/As1IELgZQpllAAAAAElFTkSuQmCC" 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" alt=" " />

Output

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" alt=" " />
 

Sample Input

input 1:
6 3
1 1 1 0 0 0
input 2:
6 3
1 1 0 1 0 0
input 3:
6 3
11 8 2 1 3 9

Sample Output

output 1
1 1
output 2
1 0
output 3
11 1
 
做法:本题可以用线段树暴力打,但下面给出的代码不是,而是用一种比较巧妙的方法(详情看代码)。
代码如下:

 #include <cstdio>
#include <cstring>
#include <iostream>
#define N 2500007
#define LL long long
using namespace std;
int n, m;
LL a[N], Ans1, Ans2, M;
LL list[N], List[N]; LL max(LL x, LL y)
{
if (x > y) return x;
return y;
} void Pre_work()
{
for (int i = ; i <= n; i += m)
{
list[i] = a[i];
for (int j = i + ; j <= min(i + m - , n); j++)
list[j] = list[j - ] & a[j];
}
for (int i = ; i <= n; i += m)
{
List[min(i + m - , n)] = a[min(i + m - , n)];
for (int j = min(i + m - , n) - ; j >= i; j--)
List[j] = List[j + ] & a[j];
}
} int main()
{
scanf("%d%d", &n, &m);
for (int i = ; i <= n; scanf("%lld", &a[i++]), Ans1 = Ans1 | a[i - ]);
Pre_work();
for (int i = m; i <= n; i++)
{
if (i % m == )
Ans2 = max(Ans2, list[i]);
else Ans2 = max(Ans2, List[i - m + ] & list[i]);
}
printf("%lld %lld", Ans1, Ans2);
}

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