{"id":204034,"date":"2025-05-29T11:06:37","date_gmt":"2025-05-29T03:06:37","guid":{"rendered":"https:\/\/server.hk\/cnblog\/204034\/"},"modified":"2025-05-29T11:06:37","modified_gmt":"2025-05-29T03:06:37","slug":"%e7%90%86%e8%a7%a3%e6%8f%92%e5%85%a5%e6%8e%92%e5%ba%8f%ef%bc%9a%e9%97%ae%e9%a2%98%e9%a9%b1%e5%8a%a8%e7%9a%84%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/204034\/","title":{"rendered":"\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff1a\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5"},"content":{"rendered":"

<\/b> <\/p>\n

\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff1a\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5<\/h1>\n

\u5b66\u4e60\u77e5\u8bc6\u8981\u5584\u4e8e\u601d\u8003\uff0c\u601d\u8003\uff0c\u518d\u601d\u8003\uff01\u4eca\u5929\u5c0f\u7f16\u5c31\u7ed9\u5927\u5bb6\u5e26\u6765\u300a\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff1a\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5\u300b<\/span>\uff0c\u4ee5\u4e0b\u5185\u5bb9\u4e3b\u8981\u5305\u542b<\/span>\u7b49\u77e5\u8bc6\u70b9\uff0c\u5982\u679c\u4f60\u6b63\u5728\u5b66\u4e60\u6216\u51c6\u5907\u5b66\u4e60\u6587\u7ae0<\/span>\uff0c\u5c31\u90fd\u4e0d\u8981\u9519\u8fc7\u672c\u6587\u5566~\u8ba9\u6211\u4eec\u4e00\u8d77\u6765\u770b\u770b\u5427\uff0c\u80fd\u5e2e\u52a9\u5230\u4f60\u5c31\u66f4\u597d\u4e86\uff01<\/span><\/p>\n

<\/p>\n

\u5728\u8fd9\u7bc7\u535a\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u91c7\u7528\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5\u6765\u4e86\u89e3\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5\u7684\u57fa\u7840\u77e5\u8bc6\u3002\u5f53\u6211\u8bd5\u56fe\u627e\u5230\u4e00\u79cd\u66f4\u597d\u7684\u65b9\u6cd5\u6765\u7406\u89e3\u63d2\u5165\u7b97\u6cd5\u548c\u6211\u5373\u5c06\u5b66\u4e60\u7684\u5176\u4ed6\u7b97\u6cd5\u65f6\uff0c\u6211\u60f3\u5230\u4e86\u8fd9\u79cd\u65b9\u6cd5\u3002\u6211\u60f3\u5efa\u7acb\u4e00\u4e2a\u53ef\u4ee5\u5e94\u7528\u4e8e\u6211\u5c06\u8981\u5b66\u4e60\u7684\u5927\u591a\u6570\uff08\u5982\u679c\u4e0d\u662f\u5168\u90e8\uff09\u7b97\u6cd5\u7684\u7b56\u7565\u3002\u5f53\u6211\u601d\u8003\u8fd9\u4e2a\u95ee\u9898\u65f6\uff0c\u6211\u786e\u4fe1\u6211\u53ef\u80fd\u5fc5\u987b\u4f7f\u7528\u7b2c\u4e00\u539f\u7406\u601d\u8003<\/p>\n

\u53d7\u5230\u7b2c\u4e00\u539f\u7406\u601d\u7ef4\u7684\u542f\u53d1\uff0c\u8fd9\u79cd\u65b9\u6cd5\u9996\u5148\u8981\u5c1d\u8bd5\u638c\u63e1\u7b97\u6cd5\uff0c\u65e0\u8bba\u6211\u4eec\u6700\u521d\u7684\u7406\u89e3\u662f\u6a21\u7cca\u8fd8\u662f\u6e05\u6670\u3002\u7136\u540e\uff0c\u6211\u4eec\u786e\u5b9a\u6784\u6210\u7b97\u6cd5\u7684\u5fae\u5c0f\u6982\u5ff5\u6216\u673a\u5236\u3002\u901a\u8fc7\u56f4\u7ed5\u8fd9\u4e9b\u673a\u5236\u6216\u5fae\u5c0f\u6982\u5ff5\u63d0\u51fa\u95ee\u9898\u3002\u6211\u4eec\u672c\u8d28\u4e0a\u662f\u8bd5\u56fe\u4ece\u4e0d\u540c\u7684\u5c0f\u89d2\u5ea6\u7406\u89e3\u7b97\u6cd5\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u91cd\u70b9\u662f\u5c1d\u8bd5\u89e3\u51b3\u6211\u4eec\u81ea\u5df1\u5f62\u6210\u7684\u95ee\u9898\u3002<\/p>\n

\u60a8\u5f62\u6210\u7684\u7b54\u6848\u6700\u521d\u53ef\u80fd\u4e0e\u5b9e\u9645\u7b97\u6cd5\u4e2d\u4f7f\u7528\u7684\u8bed\u6cd5\u76f8\u4f3c\uff0c\u4e5f\u53ef\u80fd\u4e0d\u76f8\u4f3c\u3002\u76ee\u6807\u5e94\u8be5\u662f\u81ea\u5df1\u56de\u7b54\u95ee\u9898\uff0c\u65e0\u8bba\u8bed\u6cd5\u662f\u5426\u63a5\u8fd1\u3002\u4e00\u65e6\u4f60\u6709\u4e86\u6e05\u6670\u7684\u7406\u89e3\uff0c\u4f60\u5c31\u53ef\u4ee5\u8f6c\u6362\u3001\u5408\u5e76\u4f60\u7684\u7b54\u6848\u4ee5\u4f7f\u7528\u8bed\u6cd5\uff0c\u7c7b\u4f3c\u4e8e\u7b97\u6cd5\u7684\u5b9e\u9645\u5b9e\u73b0\u3002\u6211\u76f8\u4fe1\u8fd9\u4e2a\u8fc7\u7a0b\u53ef\u4ee5\u8ba9\u60a8\u63a2\u7d22\u4ee3\u7801\u7684\u66ff\u4ee3\u5f62\u5f0f\uff0c\u7406\u89e3\u4e3a\u4ec0\u4e48\u4f7f\u7528\u7279\u5b9a\u8bed\u6cd5\uff0c\u4ee5\u66f4\u597d\u7684\u65b9\u5f0f\u81ea\u884c\u5904\u7406\u8fb9\u7f18\u60c5\u51b5\u3002<\/p>\n

\u6211\u76f8\u4fe1\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u786e\u4fdd\u6211\u4eec\u7406\u89e3\u6bcf\u884c\u4ee3\u7801\u80cc\u540e\u7684\u7406\u8bba\u548c\u63a8\u7406\uff0c\u4f7f\u5b9e\u73b0\u8fc7\u7a0b\u66f4\u52a0\u76f4\u89c2\u548c\u6709\u610f\u4e49\u3002\u4ee5\u4e0b\u95ee\u9898\u548c\u6211\u7ecf\u5386\u7684\u601d\u8003\u8fc7\u7a0b\u5e2e\u52a9\u6211\u66f4\u597d\u5730\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff0c\u5e76\u4f7f\u6211\u80fd\u591f\u6709\u6548\u5730\u7f16\u7801\u3002<\/p>\n

\u5bf9\u4e8e\u4f60\u6765\u8bf4\uff0c\u95ee\u9898\u53ef\u80fd\u4f1a\u6709\u6240\u4e0d\u540c\uff1b\u5b83\u4eec\u53ef\u4ee5\u66f4\u591a\u3001\u66f4\u5c11\u6216\u5b8c\u5168\u4e0d\u540c\u3002\u6709\u4eba\u53ef\u80fd\u4f1a\u8bf4\u8fd9\u7c7b\u4f3c\u4e8e\u9006\u5411\u5de5\u7a0b\uff0c\u4e0d\u7ba1\u4f60\u600e\u4e48\u79f0\u547c\u5b83\uff0c\u8fd9\u4e2a\u65b9\u6cd5\u8ba9\u6211\u5bf9\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5\u6709\u4e86\u900f\u5f7b\u7684\u4e86\u89e3\u3002\u6211\u5e0c\u671b\u5b83\u5bf9\u60a8\u7684\u4efb\u4f55\u5176\u4ed6\u7b97\u6cd5\u4e5f\u80fd\u8d77\u5230\u540c\u6837\u7684\u4f5c\u7528\u3002\u82cf\uff0c\u8ba9\u6211\u4eec\u5f00\u59cb\u5427\uff01<\/p>\n

\u63d2\u5165\u6392\u5e8f\u5b9e\u73b0<\/p>\n

\u8fd9\u662f\u6211\u4eec\u6700\u7ec8\u5c06\u5b9e\u73b0\u63d2\u5165\u6392\u5e8f\u7684\u4ee3\u7801\u5f62\u5f0f\u3002<\/p>\n

def insertion_sort(values):\n\n    for new_value_index in range(1,len(values)):\n\n        new_value = values[new_value_index]\n\n        index = new_value_index-1\n        while index>=0:\n            if values[index]<new_value:break\n            values[index+1] = values[index]\n            index-=1\n\n        values[index+1] = new_value\n<\/pre>\n
\u95ee\u9898<\/p>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\uff0c\u4f7f\u7528 while \u5faa\u73af\uff0c\u4ece\u53f3\u5230\u5de6\u6253\u5370\u503c\u3002<\/p>\n
values = [4,8,12,16,20,24,30]\n# given a sorted list, using while loop, print values from right to left.\n\nindex = len(values)-1\nwhile index>=0:\n    print(values[index],end = \" \")\n    index-=1\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\u548c\u4e00\u4e2a\u65b0\u503c\uff0c\u627e\u5230\u8981\u63d2\u5165\u65b0\u503c\u7684\u7d22\u5f15\u4ee5\u4fdd\u6301\u5217\u8868\u6392\u5e8f\u3002<\/p>\n
values = [4, 8, 12, 16, 20, 24]\nnew_value = 14\n\n# using while loop, if traversing from right to left\n\nindex = len(values)-1\nwhile index>=0:\n    if values[index]<new_value: break\n    index-=1\n\nprint(values,new_value,index)\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\u548c\u4e00\u4e2a\u65b0\u503c\uff0c\u5c06\u65b0\u503c\u63d2\u5165\u5230\u5217\u8868\u4e2d\uff0c\u4f7f\u5176\u4fdd\u6301\u6392\u5e8f\u3002<\/p>\n
values = [4, 8, 12, 16, 20, 24]\nnew_value = 14\n\n# if traversal from right to left\n\nindex = len(values)-1\nwhile index>=0:\n    if values[index]<new_value:break\n    index-=1\n\nvalues = values[:index+1] + [new_value] + values[index+1:]\nprint(values)\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\uff0c\u7136\u540e\u9644\u52a0\u4e00\u4e2a\u65b0\u503c\uff0c\u5c06\u65b0\u503c\u79fb\u52a8\u5230\u7ed9\u5b9a\u7684\u7d22\u5f15\u4f4d\u7f6e\u3002<\/p>\n
values = [4, 8, 12, 16, 20, 24, 30]\n\nnew_value = 14\n\nvalues.append(new_value)\n\ngiven_index = 3\n\n# above given\n\nn = len(values)-1\n\nindex = n-1\nwhile index>given_index:\n    values[index+1] = values[index]\n    index-=1\n\nprint(values)\n\nvalues[given_index+1] = new_value\n\nprint(values)\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\uff0c\u7136\u540e\u9644\u52a0\u4e00\u4e2a\u65b0\u503c\uff0c\u5bf9\u5217\u8868\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n
values = [4, 8, 12, 16, 20, 24, 30]\n\nnew_value = 14\n\nvalues.append(new_value)\n\nprint(values)\n\n### given a sorted list, then appended with new value, sort the list\n####\n\nn = len(values)-1\nnew_value = values[-1]\n\n# find the index at which the value is to be inserted\n# right to left\nindex = n-1\nwhile index>=0:\n    if values[index]<new_value:break\n    index-=1\ngiven_index = index \nprint(\"given_index : \"  , given_index)\n\n# move the values forward by one step until we reach the given index\nindex = n-1\nwhile index>given_index:\n    values[index+1] = values[index]\n    index-=1\n\nvalues[index+1] = new_value\n\nprint(values)\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u6392\u5e8f\u5217\u8868\uff0c\u7136\u540e\u9644\u52a0\u4e00\u4e2a\u65b0\u503c\uff0c\u5bf9\u5217\u8868\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n
values = [4, 8, 12, 16, 20, 24, 30]\n\nnew_values = [14,32]\n\nvalues += new_values\n\nprint(values)\n\n# given a sorted list, then appended with two new value(s), sort the list\n\nn = len(values)-1\n\nnew_value_start_index = n - 1\n\nprint(new_value_start_index, values[new_value_start_index])\n\nfor new_value_index in range(new_value_start_index,len(values)):\n\n    new_value = values[new_value_index]\n\n    index = new_value_index-1\n    while index>=0:\n        if values[index]<new_value: break\n        values[index+1] = values[index]\n        index-=1\n\n    values[index+1] = new_value\n\nprint(values)\n<\/pre>\n
\u7ed9\u5b9a\u4e00\u4e2a\u5217\u8868\uff0c\u5bf9\u5176\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n
import random\n\nvalues = random.sample(range(10,90), k = 10)\n\nvalues\n<\/pre>\n
print(values)\n\nfor new_value_index in range(1,len(values)):\n    new_value = values[new_value_index]\n\n    index = new_value_index-1\n    while index>=0:\n        if values[index]<new_value:break\n        values[index+1] = values[index]\n        index-=1\n    values[index+1] = new_value\n\nprint(values)\n<\/pre>\n
\u63d2\u5165\u6392\u5e8f\u5b9e\u73b0<\/p>\n
def insertion_sort(values):\n    for new_value_index in range(1,len(values)):\n        new_value = values[new_value_index]\n\n        index = new_value_index-1\n        while index>=0:\n            if values[index]<new_value:break\n            values[index+1] = values[index]\n            index-=1\n        values[index+1] = new_value\n<\/pre>\n
\u5176\u4ed6\u8d44\u6e90<\/p>\n
\u867d\u7136\u6211\u6700\u521d\u901a\u8fc7\u4e86\u4e00\u7cfb\u5217\u5168\u9762\u7684\u95ee\u9898\u6765\u66f4\u597d\u5730\u7406\u89e3\u7b97\u6cd5\uff0c\u4f46\u6211\u8ba4\u4e3a\u4e0a\u8ff0\u4e00\u7ec4\u95ee\u9898\u5bf9\u4e8e\u66f4\u597d\u5730\u7406\u89e3\u63d2\u5165\u6392\u5e8f\u975e\u5e38\u91cd\u8981\u3002\u5982\u679c\u5305\u542b\u6211\u6240\u89e3\u51b3\u7684\u6240\u6709\u95ee\u9898\uff0c\u8fd9\u7bc7\u6587\u7ae0\u5c31\u4f1a\u53d8\u5f97\u76f8\u5f53\u5197\u957f\u3002<\/p>\n
\u5bf9\u4e8e\u90a3\u4e9b\u6709\u5174\u8da3\u67e5\u770b\u6240\u6709\u95ee\u9898\u7684\u4eba\uff0c\u6211\u521b\u5efa\u4e86\u4e00\u4e2a jupyter notebook\uff0c\u5176\u4e2d\u5305\u542b\u5168\u5957\u95ee\u9898\u548c\u6211\u81ea\u5df1\u7684\u7b54\u6848\uff0c\u8fd9\u4f7f\u6211\u80fd\u591f\u5b8c\u5168\u7406\u89e3\u63d2\u5165\u6392\u5e8f\u7684\u5b9e\u73b0\u3002<\/p>\n
\u5982\u679c\u60a8\u60f3\u8fdb\u4e00\u6b65\u6df1\u5165\u7814\u7a76\uff0c\u6211\u9f13\u52b1\u60a8\u67e5\u770b\u7b14\u8bb0\u672c\u3002<\/p>\n
\u6b22\u8fce\u6307\u6b63\u548c\u5efa\u8bae\u3002<\/p>\n
\u4eca\u5929\u5173\u4e8e\u300a\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff1a\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5\u300b\u7684\u5185\u5bb9\u4ecb\u7ecd\u5c31\u5230\u6b64\u7ed3\u675f\uff0c\u5982\u679c\u6709\u4ec0\u4e48\u7591\u95ee\u6216\u8005\u5efa\u8bae\uff0c\u53ef\u4ee5\u5728\u516c\u4f17\u53f7\u4e0b\u591a\u591a\u56de\u590d\u4ea4\u6d41\uff1b\u6587\u4e2d\u82e5\u6709\u4e0d\u6b63\u4e4b\u5904\uff0c\u4e5f\u5e0c\u671b\u56de\u590d\u7559\u8a00\u4ee5\u544a\u77e5\uff01<\/p>\n
      \u7248\u672c\u58f0\u660e \u672c\u6587\u8f6c\u8f7d\u4e8e\uff1adev.to \u5982\u6709\u4fb5\u72af\uff0c\u8bf7\u8054\u7cfb\u5220\u9664<\/p>\n","protected":false},"excerpt":{"rendered":"
\u7406\u89e3\u63d2\u5165\u6392\u5e8f\uff1a\u95ee\u9898\u9a71\u52a8\u7684\u65b9\u6cd5 \u5b66...<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4925],"tags":[],"class_list":["post-204034","post","type-post","status-publish","format-standard","hentry","category-4925"],"_links":{"self":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/204034","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/comments?post=204034"}],"version-history":[{"count":0,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/204034\/revisions"}],"wp:attachment":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/media?parent=204034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/categories?post=204034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/tags?post=204034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}