{"id":607,"date":"2020-09-26T11:02:38","date_gmt":"2020-09-26T03:02:38","guid":{"rendered":"http:\/\/39.96.58.60\/?p=607"},"modified":"2022-10-18T16:45:05","modified_gmt":"2022-10-18T08:45:05","slug":"leetcode-486-%e9%a2%84%e6%b5%8b%e8%b5%a2%e5%ae%b6","status":"publish","type":"post","link":"http:\/\/www.yatenglg.cn\/blog\/?p=607","title":{"rendered":"Leetcode 486. \u9884\u6d4b\u8d62\u5bb6"},"content":{"rendered":"

\u7ed9\u5b9a\u4e00\u4e2a\u8868\u793a\u5206\u6570\u7684\u975e\u8d1f\u6574\u6570\u6570\u7ec4\u3002 \u73a9\u5bb6 1 \u4ece\u6570\u7ec4\u4efb\u610f\u4e00\u7aef\u62ff\u53d6\u4e00\u4e2a\u5206\u6570\uff0c\u968f\u540e\u73a9\u5bb6 2 \u7ee7\u7eed\u4ece\u5269\u4f59\u6570\u7ec4\u4efb\u610f\u4e00\u7aef\u62ff\u53d6\u5206\u6570\uff0c\u7136\u540e\u73a9\u5bb6 1 \u62ff\uff0c\u2026\u2026 \u3002\u6bcf\u6b21\u4e00\u4e2a\u73a9\u5bb6\u53ea\u80fd\u62ff\u53d6\u4e00\u4e2a\u5206\u6570\uff0c\u5206\u6570\u88ab\u62ff\u53d6\u4e4b\u540e\u4e0d\u518d\u53ef\u53d6\u3002\u76f4\u5230\u6ca1\u6709\u5269\u4f59\u5206\u6570\u53ef\u53d6\u65f6\u6e38\u620f\u7ed3\u675f\u3002\u6700\u7ec8\u83b7\u5f97\u5206\u6570\u603b\u548c\u6700\u591a\u7684\u73a9\u5bb6\u83b7\u80dc\u3002<\/p>\n

\u7ed9\u5b9a\u4e00\u4e2a\u8868\u793a\u5206\u6570\u7684\u6570\u7ec4\uff0c\u9884\u6d4b\u73a9\u5bb61\u662f\u5426\u4f1a\u6210\u4e3a\u8d62\u5bb6\u3002\u4f60\u53ef\u4ee5\u5047\u8bbe\u6bcf\u4e2a\u73a9\u5bb6\u7684\u73a9\u6cd5\u90fd\u4f1a\u4f7f\u4ed6\u7684\u5206\u6570\u6700\u5927\u5316\u3002<\/p>\n

 <\/p>\n

\u793a\u4f8b 1\uff1a<\/strong><\/p>\n

\u8f93\u5165\uff1a<\/strong>[1, 5, 2]\n\n\u8f93\u51fa\uff1a<\/strong>False\n\n\u89e3\u91ca\uff1a<\/strong>\u4e00\u5f00\u59cb\uff0c\u73a9\u5bb61\u53ef\u4ee5\u4ece1\u548c2\u4e2d\u8fdb\u884c\u9009\u62e9\u3002\n\n\u5982\u679c\u4ed6\u9009\u62e9 2\uff08\u6216\u8005 1 \uff09\uff0c\u90a3\u4e48\u73a9\u5bb6 2 \u53ef\u4ee5\u4ece 1\uff08\u6216\u8005 2 \uff09\u548c 5 \u4e2d\u8fdb\u884c\u9009\u62e9\u3002\u5982\u679c\u73a9\u5bb6 2 \u9009\u62e9\u4e86 5 \uff0c\u90a3\u4e48\u73a9\u5bb6 1 \u5219\u53ea\u5269\u4e0b 1\uff08\u6216\u8005 2 \uff09\u53ef\u9009\u3002\n\n\u6240\u4ee5\uff0c\u73a9\u5bb6 1 \u7684\u6700\u7ec8\u5206\u6570\u4e3a 1 + 2 = 3\uff0c\u800c\u73a9\u5bb6 2 \u4e3a 5 \u3002\n\n\u56e0\u6b64\uff0c\u73a9\u5bb6 1 \u6c38\u8fdc\u4e0d\u4f1a\u6210\u4e3a\u8d62\u5bb6\uff0c\u8fd4\u56de False \u3002\n\n<\/pre>\n
\u793a\u4f8b 2\uff1a<\/strong><\/p>\n
\u8f93\u5165\uff1a<\/strong>[1, 5, 233, 7]\n\n\u8f93\u51fa\uff1a<\/strong>True\n\n\u89e3\u91ca\uff1a<\/strong>\u73a9\u5bb6 1 \u4e00\u5f00\u59cb\u9009\u62e9 1 \u3002\u7136\u540e\u73a9\u5bb6 2 \u5fc5\u987b\u4ece 5 \u548c 7 \u4e2d\u8fdb\u884c\u9009\u62e9\u3002\u65e0\u8bba\u73a9\u5bb6 2 \u9009\u62e9\u4e86\u54ea\u4e2a\uff0c\u73a9\u5bb6 1 \u90fd\u53ef\u4ee5\u9009\u62e9 233 \u3002\n\n     \u6700\u7ec8\uff0c\u73a9\u5bb6 1\uff08234 \u5206\uff09\u6bd4\u73a9\u5bb6 2\uff0812 \u5206\uff09\u83b7\u5f97\u66f4\u591a\u7684\u5206\u6570\uff0c\u6240\u4ee5\u8fd4\u56de True\uff0c\u8868\u793a\u73a9\u5bb6 1 \u53ef\u4ee5\u6210\u4e3a\u8d62\u5bb6\u3002\n\n<\/pre>\n
 <\/p>\n
\u63d0\u793a\uff1a<\/strong><\/p>\n
    \n
  • 1 <= \u7ed9\u5b9a\u7684\u6570\u7ec4\u957f\u5ea6 <= 20.<\/li>\n
  • \u6570\u7ec4\u91cc\u6240\u6709\u5206\u6570\u90fd\u4e3a\u975e\u8d1f\u6570\u4e14\u4e0d\u4f1a\u5927\u4e8e 10000000 \u3002<\/li>\n
  • \u5982\u679c\u6700\u7ec8\u4e24\u4e2a\u73a9\u5bb6\u7684\u5206\u6570\u76f8\u7b49\uff0c\u90a3\u4e48\u73a9\u5bb6 1 \u4ecd\u4e3a\u8d62\u5bb6\u3002<\/li>\n<\/ul>\n
    **\u96be\u5ea6**: Medium<\/p>\n
    **\u6807\u7b7e**: \u6781\u5c0f\u5316\u6781\u5927\u3001 \u52a8\u6001\u89c4\u5212\u3001<\/p>\n
    \n
    \n# -*- coding: utf-8 -*-\n# @Author  : LG\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a1828 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e869.51% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.7 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8657.59% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u9012\u5f52\u3002 \u601d\u8def\u53c2\u8003\u4e86https:\/\/leetcode-cn.com\/problems\/predict-the-winner\/solution\/xie-gei-suan-fa-ru-men-zhe-wo-zi-ji-de-pythonti-ji\/\n\n    \u4e3b\u8981\u8bb0\u5f55\u4e0b\u81ea\u5df1\u5b66\u4e60\u5230\u7684\u4e1c\u897f\n    \u5bf9\u4e8e\u5217\u8868\u7684\u9012\u5f52\uff0c\u4f7f\u7528\u6307\u9488\u662f\u66f4\u65b9\u4fbf\u7684\n    \u5177\u4f53\u5b9e\u73b0\u89c1\u4ee3\u7801\u6ce8\u91ca\n\"\"\"\nclass Solution:\n    def PredictTheWinner(self, nums: List[int]) -> bool:\n        def choose(l, r, reverse):  # \u901a\u8fc7\u5de6\u53f3\u6307\u9488\u6765\u8868\u793a\u53d6\u5de6\u4fa7\u8fd8\u662f\u53f3\u4fa7\u6570\u5b57\uff0c \u901a\u8fc7reverse\u8868\u793a\u8f6e\u8c01\u53d6\u6570\u5b57\uff0c 1\u4e3a\u73a9\u5bb6\u4e00\uff0c-1\u4e3a\u73a9\u5bb6\u4e8c\n            if l == r:              # \u7701\u5355\u4e2a\u5143\u7d20\uff0c\u76f4\u63a5\u53d6\n                return reverse * nums[l]\n            get_left = reverse * nums[l] + choose(l+1, r, -reverse)     # \u53d6\u5de6\u4fa7\u6570\u5b57\uff0c \u5de6\u6307\u79fb\u52a8\uff0c\u73a9\u5bb6\u5207\u6362\n            get_right = reverse * nums[r] + choose(l, r-1, -reverse)    # \u53d6\u53f3\u4fa7\u6570\u5b57\uff0c\u53f3\u6307\u9488\u79fb\u52a8\uff0c\u73a9\u5bb6\u5207\u6362\n            if reverse == 1:                                            # \u5982\u679c\u73a9\u5bb6\u4e00\u53d6\uff0c\u5219\u8fd4\u56de\u5206\u6570\u6700\u5927\u503c\uff0c \u73a9\u5bb6\u4e8c\u53d6\uff0c\u5219\u8fd4\u56de\u5206\u6570\u6700\u5c0f\u503c. \u76ee\u7684\u662f\u4f7f\u6700\u7ec8\u7684\u73a9\u5bb6\u4e00\u5206\u6570\u5c3d\u53ef\u80fd\u5927\n                return max(get_left, get_right)\n            else:\n                return min(get_left, get_right)\n        n = len(nums)\n        if n % 2 == 0:  # \u5076\u6570\u4e2a\u6570\u503c\uff0c\u5219\u73a9\u5bb6\u4e00\u4e8c\u5747\u53ef\u53d6\u5230\u67d0\u4e00\u503c\uff0c\u53ef\u80fd\u8d62\n            return True\n        else:\n            if choose(0, n-1, 1) >= 0:  # \u6700\u7ec8\u5206\u6570\u4e3a\u73a9\u5bb6\u4e00\u5c3d\u53ef\u80fd\u5927\u7684\u5206\u6570\uff0c\u5982\u679c\u5927\u4e8e0\uff0c\u5219\u73a9\u5bb6\u4e00\u53ef\u80fd\u8d62\n                return True\n            else:\n                return False\n\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a28 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e86100.00% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.6 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8681.58% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u52a8\u6001\u89c4\u5212\n    \u4f8b\uff1a\n         i  j\n        [1, 2, 3, 4, 5]\n        \n            1   2   3   4   5\n        1   1   1   2   2   3\n        2   0   2   1   3   2\n        3   0   0   3   1   4\n        4   0   0   0   4   1\n        5   0   0   0   0   5\n    \n    \u5176\u4e2d i,j\u4e3a\u6307\u9488\uff0c\u6307\u5411 \u5b57\u7b26\u4e32\n    dp[i][j] \u8868\u793a\u53ea\u6709 nums[i]~nums[j]\u65f6\u7684\u5206\u6570\u5dee\n    \u5219 dp[i][i] = nums[i] \u53ea\u6709\u4e00\u4e2a\u6570\u5b57\u65f6\uff0c\u73a9\u5bb6\u4e00\u5148\u62ff\uff0c\u5219 \u5206\u6570\u5dee\u4e3anums[i]\n    \u5219 dp[i][j] = max(nums[j]-dp[i][j-1], num[i]-dp[i+1][j])\n        i~j \u7684\u5dee\u503c\uff0c\u7b49\u4e8e nums[i] \u4e0e i+1\uff5ej\u7684\u5206\u6570\u5dee\uff0c  \u4e0e nums[j] \u4e0e i~j-1 \u7684\u5206\u6570\u5dee\u7684 \u6700\u5927\u503c\u3002\n            \u56e0\u4e3a\u73a9\u5bb6\u4e00\u4f1a\u5148\u9009\uff0c\u5219\u5fc5\u7136\u4ece\u5934\u5c3e\u62ff\uff0c \n                nums[i]- dp[i+1][j] \u8868\u793a\u4ece\u5de6\u4fa7\u62ff\n                nums[j]- dp[i][j-1] \u8868\u793a\u4ece\u53f3\u4fa7\u62ff\n\"\"\"\n\n\nclass Solution:\n    def PredictTheWinner(self, nums: List[int]) -> bool:\n        n = len(nums)\n        if n % 2 == 0:\n            return True\n\n        dp = [[0 for _ in range(n)] for _ in range(n)]\n        for i in range(n):\n            dp[i][i] = nums[i]\n\n        for j in range(1, n):\n            for i in range(j - 1, -1, -1):\n                dp[i][j] = max(nums[i] - dp[i + 1][j], nums[j] - dp[i][j - 1])\n\n        if dp[0][-1] >= 0:\n            return True\n        else:\n            return False\n<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
    \u7ed9\u5b9a\u4e00\u4e2a\u8868\u793a\u5206\u6570\u7684\u975e\u8d1f\u6574\u6570\u6570\u7ec4\u3002 \u73a9\u5bb6 1 \u4ece\u6570\u7ec4\u4efb\u610f\u4e00\u7aef\u62ff\u53d6\u4e00\u4e2a\u5206\u6570\uff0c\u968f\u540e\u73a9\u5bb6 2 \u7ee7\u7eed\u4ece\u5269\u4f59\u6570\u7ec4\u4efb\u610f\u4e00\u7aef\u62ff…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":[],"categories":[11,1],"tags":[],"_links":{"self":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/607"}],"collection":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=607"}],"version-history":[{"count":1,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/607\/revisions"}],"predecessor-version":[{"id":608,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/607\/revisions\/608"}],"wp:attachment":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=607"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=607"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=607"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}