{"id":777,"date":"2025-01-05T23:08:52","date_gmt":"2025-01-05T15:08:52","guid":{"rendered":"https:\/\/www.laixuexila.com\/?p=777"},"modified":"2025-01-05T23:08:52","modified_gmt":"2025-01-05T15:08:52","slug":"%e5%9c%a8-python-%e4%b8%ad%ef%bc%8c%e6%80%8e%e6%a0%b7%e7%94%9f%e6%88%90%e4%b8%80%e4%b8%aa%e6%95%b0%e5%ad%97%e5%88%97%e8%a1%a8%e7%9a%84%e6%89%80%e6%9c%89%e5%8f%af%e8%83%bd%e5%ad%90%e9%9b%86%ef%bc%88","status":"publish","type":"post","link":"https:\/\/www.laixuexila.com\/index.php\/2025\/01\/05\/%e5%9c%a8-python-%e4%b8%ad%ef%bc%8c%e6%80%8e%e6%a0%b7%e7%94%9f%e6%88%90%e4%b8%80%e4%b8%aa%e6%95%b0%e5%ad%97%e5%88%97%e8%a1%a8%e7%9a%84%e6%89%80%e6%9c%89%e5%8f%af%e8%83%bd%e5%ad%90%e9%9b%86%ef%bc%88\/","title":{"rendered":"\u5728 Python \u4e2d\uff0c\u600e\u6837\u751f\u6210\u4e00\u4e2a\u6570\u5b57\u5217\u8868\u7684\u6240\u6709\u53ef\u80fd\u5b50\u96c6\uff08\u5373\u5e42\u96c6\uff09"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u5728 Python \u4e2d\uff0c\u8981\u751f\u6210\u4e00\u4e2a\u6570\u5b57\u5217\u8868\u7684\u6240\u6709\u53ef\u80fd\u5b50\u96c6\uff08\u5373<strong>\u5e42\u96c6<\/strong>\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528\u51e0\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u3002\u6700\u5e38\u89c1\u548c\u9ad8\u6548\u7684\u65b9\u6cd5\u5305\u62ec\u4f7f\u7528 <strong>\u4f4d\u64cd\u4f5c<\/strong> \u548c <strong><code>itertools.combinations<\/code><\/strong>\u3002\u4ee5\u4e0b\u662f\u51e0\u79cd\u5b9e\u73b0\u65b9\u5f0f\uff1a<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>\u4f7f\u7528 <code>itertools.combinations<\/code> \u751f\u6210\u6240\u6709\u5b50\u96c6<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><code>itertools.combinations<\/code> \u662f Python \u5185\u7f6e\u7684\u5e93\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u751f\u6210\u4e0d\u540c\u5927\u5c0f\u7684\u5b50\u96c6\u3002\u901a\u8fc7\u8fed\u4ee3\u4ece <code>0<\/code> \u5230 <code>n<\/code>\uff08\u5217\u8868\u957f\u5ea6\uff09\u7684\u6240\u6709\u53ef\u80fd\u5b50\u96c6\u5927\u5c0f\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u6240\u6709\u7684\u5b50\u96c6\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u793a\u4f8b\u4ee3\u7801\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>import itertools\n\ndef generate_subsets(nums):\n    subsets = &#91;]\n    for i in range(len(nums) + 1):\n        subsets.extend(itertools.combinations(nums, i))\n    return &#91;list(subset) for subset in subsets]\n\n# \u793a\u4f8b\nnums = &#91;1, 2, 3]\nsubsets = generate_subsets(nums)\nprint(subsets)<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u89e3\u91ca\uff1a<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>itertools.combinations(nums, i)<\/code> \u4f1a\u751f\u6210 <code>nums<\/code> \u4e2d\u6240\u6709\u5927\u5c0f\u4e3a <code>i<\/code> \u7684\u7ec4\u5408\u3002<\/li>\n\n\n\n<li>\u6211\u4eec\u901a\u8fc7\u6539\u53d8 <code>i<\/code> \u4ece <code>0<\/code> \u5230 <code>len(nums)<\/code>\uff0c\u6765\u751f\u6210\u6240\u6709\u53ef\u80fd\u7684\u5b50\u96c6\u3002<\/li>\n\n\n\n<li><code>subsets.extend()<\/code> \u5c06\u6bcf\u4e2a\u5b50\u96c6\u6dfb\u52a0\u5230\u5217\u8868\u4e2d\uff0c\u6700\u7ec8\u5f62\u6210\u6240\u6709\u5b50\u96c6\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u8f93\u51fa\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;], &#91;1], &#91;2], &#91;3], &#91;1, 2], &#91;1, 3], &#91;2, 3], &#91;1, 2, 3]]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>\u4f7f\u7528 \u4f4d\u64cd\u4f5c (Bit Manipulation)<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f4d\u64cd\u4f5c\u63d0\u4f9b\u4e86\u4e00\u79cd\u9ad8\u6548\u4e14\u76f4\u89c2\u7684\u65b9\u6cd5\u6765\u751f\u6210\u6240\u6709\u5b50\u96c6\u3002\u901a\u8fc7\u5c06\u5217\u8868\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4e0e\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6570\u76f8\u5bf9\u5e94\uff0c\u53ef\u4ee5\u5c06\u6bcf\u4e2a\u4e8c\u8fdb\u5236\u6570\u7684\u201c\u4f4d\u201d\u89c6\u4e3a\u662f\u5426\u5305\u542b\u67d0\u4e2a\u5143\u7d20\u7684\u6807\u5fd7\u3002\u4f8b\u5982\uff0c<code>0b101<\/code> \u8868\u793a\u5305\u542b\u7b2c\u4e00\u4e2a\u548c\u7b2c\u4e09\u4e2a\u5143\u7d20\u7684\u5b50\u96c6\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u793a\u4f8b\u4ee3\u7801\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>def generate_subsets(nums):\n    n = len(nums)\n    subsets = &#91;]\n    for i in range(2**n):  # 2^n \u6b21\u65b9\n        subset = &#91;]\n        for j in range(n):\n            if i &amp; (1 &lt;&lt; j):  # \u68c0\u67e5\u7b2c j \u4f4d\u662f\u5426\u4e3a 1\n                subset.append(nums&#91;j])\n        subsets.append(subset)\n    return subsets\n\n# \u793a\u4f8b\nnums = &#91;1, 2, 3]\nsubsets = generate_subsets(nums)\nprint(subsets)<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u89e3\u91ca\uff1a<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>2**n<\/code> \u751f\u6210\u4e86\u4ece <code>0<\/code> \u5230 <code>2^n - 1<\/code> \u7684\u6240\u6709\u6574\u6570\uff0c\u8fd9\u4e9b\u6574\u6570\u53ef\u4ee5\u7528\u4e8c\u8fdb\u5236\u8868\u793a\uff0c\u6bcf\u4e2a\u4e8c\u8fdb\u5236\u4f4d\u4ee3\u8868\u4e00\u4e2a\u5143\u7d20\u662f\u5426\u5728\u5b50\u96c6\u4e2d\u3002<\/li>\n\n\n\n<li><code>i &amp; (1 &lt;&lt; j)<\/code> \u68c0\u67e5\u4e8c\u8fdb\u5236\u4f4d <code>j<\/code> \u662f\u5426\u4e3a <code>1<\/code>\uff0c\u5982\u679c\u662f\uff0c\u5c31\u628a <code>nums[j]<\/code> \u52a0\u5165\u5f53\u524d\u5b50\u96c6\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u8f93\u51fa\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;], &#91;1], &#91;2], &#91;1, 2], &#91;3], &#91;1, 3], &#91;2, 3], &#91;1, 2, 3]]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>\u4f7f\u7528\u9012\u5f52\u751f\u6210\u5b50\u96c6<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9012\u5f52\u662f\u53e6\u4e00\u79cd\u76f4\u89c2\u7684\u751f\u6210\u5b50\u96c6\u7684\u65b9\u5f0f\u3002\u5728\u9012\u5f52\u8fc7\u7a0b\u4e2d\uff0c\u6bcf\u4e2a\u5143\u7d20\u90fd\u6709\u4e24\u79cd\u9009\u62e9\uff1a\u8981\u4e48\u5728\u5b50\u96c6\u4e2d\uff0c\u8981\u4e48\u4e0d\u5728\u5b50\u96c6\u4e2d\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u793a\u4f8b\u4ee3\u7801\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>def generate_subsets(nums):\n    def backtrack(start, current_subset):\n        subsets.append(current_subset&#91;:])  # \u6dfb\u52a0\u5f53\u524d\u5b50\u96c6\n        for i in range(start, len(nums)):\n            current_subset.append(nums&#91;i])  # \u5305\u542b\u5f53\u524d\u5143\u7d20\n            backtrack(i + 1, current_subset)  # \u7ee7\u7eed\u9012\u5f52\n            current_subset.pop()  # \u6392\u9664\u5f53\u524d\u5143\u7d20\n\n    subsets = &#91;]\n    backtrack(0, &#91;])\n    return subsets\n\n# \u793a\u4f8b\nnums = &#91;1, 2, 3]\nsubsets = generate_subsets(nums)\nprint(subsets)<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u89e3\u91ca\uff1a<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>backtrack<\/code> \u51fd\u6570\u662f\u4e00\u4e2a\u9012\u5f52\u51fd\u6570\uff0c\u5b83\u4ece <code>start<\/code> \u5f00\u59cb\u904d\u5386 <code>nums<\/code> \u4e2d\u7684\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u6bcf\u6b21\u9012\u5f52\u65f6\uff0c\u90fd\u4f1a\u628a\u5f53\u524d\u5b50\u96c6\u6dfb\u52a0\u5230 <code>subsets<\/code> \u4e2d\uff0c\u5e76\u5c1d\u8bd5\u6dfb\u52a0\u4e0b\u4e00\u4e2a\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u901a\u8fc7\u9012\u5f52\u7684\u65b9\u5f0f\u4e0d\u65ad\u201c\u5206\u652f\u201d\uff0c\u5f97\u5230\u6240\u6709\u53ef\u80fd\u7684\u5b50\u96c6\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u8f93\u51fa\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;], &#91;1], &#91;1, 2], &#91;1, 2, 3], &#91;2], &#91;2, 3], &#91;3]]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. <strong>\u4f7f\u7528 <code>reduce()<\/code> \u751f\u6210\u5b50\u96c6<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u8fd8\u53ef\u4ee5\u4f7f\u7528 <code>functools.reduce()<\/code> \u51fd\u6570\u901a\u8fc7\u5408\u5e76\u64cd\u4f5c\u7b26\u6765\u751f\u6210\u6240\u6709\u5b50\u96c6\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u793a\u4f8b\u4ee3\u7801\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>from functools import reduce\n\ndef generate_subsets(nums):\n    return reduce(lambda subsets, num: subsets + &#91;s + &#91;num] for s in subsets], nums, &#91;&#91;]])\n\n# \u793a\u4f8b\nnums = &#91;1, 2, 3]\nsubsets = generate_subsets(nums)\nprint(subsets)<\/code><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">\u89e3\u91ca\uff1a<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>reduce()<\/code> \u4f1a\u6309\u987a\u5e8f\u5c06\u6bcf\u4e2a\u5143\u7d20\u4e0e\u524d\u9762\u7684\u5b50\u96c6\u5408\u5e76\u3002<\/li>\n\n\n\n<li>\u6bcf\u5f53\u5904\u7406\u4e00\u4e2a\u5143\u7d20\u65f6\uff0c\u5f53\u524d\u7684\u6bcf\u4e2a\u5b50\u96c6\u90fd\u4f1a\u6269\u5c55\u51fa\u4e00\u4e2a\u65b0\u7684\u5b50\u96c6\uff0c\u5305\u542b\u5f53\u524d\u5143\u7d20\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u8f93\u51fa\uff1a<\/h4>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;&#91;], &#91;1], &#91;2], &#91;3], &#91;1, 2], &#91;1, 3], &#91;2, 3], &#91;1, 2, 3]]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u603b\u7ed3<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>itertools.combinations<\/code><\/strong>\uff1a\u9002\u7528\u4e8e\u9700\u8981\u751f\u6210\u6240\u6709\u5b50\u96c6\u7684\u573a\u666f\uff0c\u4ee3\u7801\u7b80\u6d01\u3002<\/li>\n\n\n\n<li><strong>\u4f4d\u64cd\u4f5c<\/strong>\uff1a\u6548\u7387\u9ad8\uff0c\u7279\u522b\u9002\u5408\u9700\u8981\u5728\u5927\u6570\u636e\u96c6\u4e0a\u6267\u884c\u5b50\u96c6\u751f\u6210\u7684\u573a\u666f\u3002<\/li>\n\n\n\n<li><strong>\u9012\u5f52<\/strong>\uff1a\u975e\u5e38\u76f4\u89c2\uff0c\u9002\u7528\u4e8e\u7b80\u5355\u7684\u573a\u666f\uff0c\u4ee3\u7801\u66f4\u6613\u4e8e\u7406\u89e3\u548c\u8c03\u8bd5\u3002<\/li>\n\n\n\n<li><strong><code>reduce()<\/code><\/strong>\uff1a\u51fd\u6570\u5f0f\u7f16\u7a0b\u7684\u65b9\u5f0f\uff0c\u53ef\u4ee5\u5728\u67d0\u4e9b\u573a\u666f\u4e2d\u63d0\u5347\u4ee3\u7801\u7684\u7b80\u6d01\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u9009\u62e9\u54ea\u79cd\u65b9\u6cd5\u53d6\u51b3\u4e8e\u4f60\u7684\u9700\u6c42\u3002\u5bf9\u4e8e\u8f83\u5c0f\u7684\u5217\u8868\uff0c\u4efb\u4f55\u65b9\u6cd5\u90fd\u9002\u7528\uff1b\u5bf9\u4e8e\u8f83\u5927\u7684\u5217\u8868\uff0c\u4f4d\u64cd\u4f5c\u901a\u5e38\u66f4\u4e3a\u9ad8\u6548\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728 Python \u4e2d\uff0c\u8981\u751f\u6210\u4e00\u4e2a\u6570\u5b57\u5217\u8868\u7684\u6240\u6709\u53ef\u80fd\u5b50\u96c6\uff08\u5373\u5e42\u96c6\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528\u51e0\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u3002\u6700\u5e38\u89c1\u548c\u9ad8\u6548\u7684\u65b9\u6cd5\u5305 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[54],"tags":[],"class_list":["post-777","post","type-post","status-publish","format-standard","hentry","category-python"],"_links":{"self":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/777","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/comments?post=777"}],"version-history":[{"count":1,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/777\/revisions"}],"predecessor-version":[{"id":778,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/777\/revisions\/778"}],"wp:attachment":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/media?parent=777"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/categories?post=777"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/tags?post=777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}