{"id":575,"date":"2020-09-26T10:59:20","date_gmt":"2020-09-26T02:59:20","guid":{"rendered":"http:\/\/39.96.58.60\/?p=575"},"modified":"2022-10-18T16:38:45","modified_gmt":"2022-10-18T08:38:45","slug":"leetcode-416-%e5%88%86%e5%89%b2%e7%ad%89%e5%92%8c%e5%ad%90%e9%9b%86","status":"publish","type":"post","link":"http:\/\/www.yatenglg.cn\/blog\/?p=575","title":{"rendered":"Leetcode 416. \u5206\u5272\u7b49\u548c\u5b50\u96c6"},"content":{"rendered":"<p>\u7ed9\u5b9a\u4e00\u4e2a<strong>\u53ea\u5305\u542b\u6b63\u6574\u6570<\/strong>\u7684<strong>\u975e\u7a7a<\/strong>\u6570\u7ec4\u3002\u662f\u5426\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u6570\u7ec4\u5206\u5272\u6210\u4e24\u4e2a\u5b50\u96c6\uff0c\u4f7f\u5f97\u4e24\u4e2a\u5b50\u96c6\u7684\u5143\u7d20\u548c\u76f8\u7b49\u3002<\/p>\n<p><strong>\u6ce8\u610f:<\/strong><\/p>\n<ol>\n<li>\u6bcf\u4e2a\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u4e0d\u4f1a\u8d85\u8fc7 100<\/li>\n<li>\u6570\u7ec4\u7684\u5927\u5c0f\u4e0d\u4f1a\u8d85\u8fc7 200<\/li>\n<\/ol>\n<p><strong>\u793a\u4f8b 1:<\/strong><\/p>\n<pre>\u8f93\u5165: [1, 5, 11, 5]\n\n\n\n\u8f93\u51fa: true\n\n\n\n\u89e3\u91ca: \u6570\u7ec4\u53ef\u4ee5\u5206\u5272\u6210 [1, 5, 5] \u548c [11].\n\n<\/pre>\n<p>&nbsp;<\/p>\n<p><strong>\u793a\u4f8b&nbsp;2:<\/strong><\/p>\n<pre>\u8f93\u5165: [1, 2, 3, 5]\n\n\n\n\u8f93\u51fa: false\n\n\n\n\u89e3\u91ca: \u6570\u7ec4\u4e0d\u80fd\u5206\u5272\u6210\u4e24\u4e2a\u5143\u7d20\u548c\u76f8\u7b49\u7684\u5b50\u96c6.\n\n<\/pre>\n<p>&nbsp;<\/p>\n<p>**\u96be\u5ea6**: Medium<\/p>\n<p>**\u6807\u7b7e**: \u52a8\u6001\u89c4\u5212\u3001<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism undefined-numbers lang-python\" data-lang=\"Python\"><code>\n# -*- coding: utf-8 -*-\n# @Author  : LG\n\n\"\"\"\n\u6267\u884c\u7528\u65f6\uff1a1660 ms, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8644.66% \u7684\u7528\u6237\n\u5185\u5b58\u6d88\u8017\uff1a13.6 MB, \u5728\u6240\u6709 Python3 \u63d0\u4ea4\u4e2d\u51fb\u8d25\u4e8655.75% \u7684\u7528\u6237\n\n\u89e3\u9898\u601d\u8def\uff1a\n    \u52a8\u6001\u89c4\u5212\n\"\"\"\nclass Solution:\n    def canPartition(self, nums: List[int]) -&gt; bool:\n        nums.sort()\n        if sum(nums) % 2 != 0:  # \u5947\u6570\u548c \u5fc5\u4e0d\u80fd\u62c6\u5206\n            return False\n        target = int(sum(nums)\/2)   # \u62c6\u5206\u540e\u7684\u548c\n        n = len(nums)\n        dp = [0] * (target+1)   # \u7528\u4e8e\u8bb0\u5f55\u5bf9\u5e94\u548c\u80fd\u5426\u5b9e\u73b0\n        dp[0] = 1   # \u548c\u4e3a0\u5fc5\u7136\u53ef\u4ee5\n\n        for i in range(n):\n            for j in range(target, -1, -1):\n                if j+nums[i] &lt;= target:\n                    dp[j+nums[i]] = dp[j] or dp[j+nums[i]]  # \u539f\u5148\u548c+\u5f53\u524d\u6570\u503c\uff0c\u5373\u4e3a\u65b0\u7684\u548c\n            if dp[-1] == 1:\n                return True\n        return dp[-1] == 1\n\n\n\"\"\"\n\u8d85\u65f6\n\u89e3\u9898\u601d\u8def\uff1a\n    \u56de\u6eaf1\n\"\"\"\nclass Solution:\n    def canPartition(self, nums: List[int]) -&gt; bool:\n        nums.sort()\n\n        def backtrack(begin, current, target, used):\n            if target == 0:\n                return True\n            if target &lt; 0:\n                return False\n\n            for i in range(begin, len(nums)):\n                if i &gt; 1 and nums[i] == nums[i-1] and i-1 not in used:\n                    continue\n                if backtrack(i+1, current+[nums[i]], target-nums[i], used+[i]):\n                    return True\n\n        target = int(sum(nums) \/ 2)\n        if target * 2 != sum(nums):\n            return False\n\n        if target &lt; nums[-1]:\n            return False\n\n        if backtrack(0, [], target, []):\n            return True\n        else:\n            return False\n\n\n\"\"\"\n\u8d85\u65f6\n\u89e3\u9898\u601d\u8def\uff1a\n    \u56de\u6eaf2\n\"\"\"\nclass Solution:\n    def canPartition(self, nums: List[int]) -&gt; bool:\n        if sum(nums) % 2 != 0:\n            return False\n        target = sum(nums) \/ 2\n        if max(nums) &gt; target:\n            return False\n\n        nums.sort(reverse=True)\n        def backtrack(current:int, nums:ist):\n            if current == target:\n                return True\n            if current &gt; target:\n                return\n            for i in range(len(nums)):\n                if backtrack(current+nums[i], nums[i+1:]):\n                    return True\n            return False\n        return backtrack(0, nums)<\/code><\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7ed9\u5b9a\u4e00\u4e2a\u53ea\u5305\u542b\u6b63\u6574\u6570\u7684\u975e\u7a7a\u6570\u7ec4\u3002\u662f\u5426\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u6570\u7ec4\u5206\u5272\u6210\u4e24\u4e2a\u5b50\u96c6\uff0c\u4f7f\u5f97\u4e24\u4e2a\u5b50\u96c6\u7684\u5143\u7d20\u548c\u76f8\u7b49\u3002 \u6ce8\u610f: \u6bcf\u4e2a\u6570\u7ec4&#8230;<\/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\/575"}],"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=575"}],"version-history":[{"count":1,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/575\/revisions"}],"predecessor-version":[{"id":576,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/575\/revisions\/576"}],"wp:attachment":[{"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=575"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=575"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.yatenglg.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=575"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}