{"id":193,"date":"2025-02-10T17:46:35","date_gmt":"2025-02-10T09:46:35","guid":{"rendered":"https:\/\/blog.seekrealthing.net\/blog\/?p=193"},"modified":"2025-02-10T18:30:10","modified_gmt":"2025-02-10T10:30:10","slug":"leetcode-first-missing-positive-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=193","title":{"rendered":"LeetCode. First Missing Positive \u89e3\u6790(\u601d\u7dad)"},"content":{"rendered":"\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bLeetCode. First Missing Positive\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\u984c\u76ee\u63cf\u8ff0<\/h3>\n

\u7d66\u5b9a\u4e00\u500b\u672a\u6392\u5e8f\u7684\u6574\u6578\u6578\u7d44 nums<\/code>\uff0c\u627e\u51fa\u5176\u4e2d\u6700\u5c0f\u7684\u7f3a\u5931\u6b63\u6574\u6578\u3002<\/p>\n

\n

\u6027\u80fd\u8981\u6c42<\/h3>\n
    \n
  • \u6642\u9593\u8907\u96dc\u5ea6\uff1a$O(n)$<\/li>\n
  • \u984d\u5916\u7a7a\u9593\uff1a\u5e38\u6578\u7d1a\uff0c\u5373 $O(1)$<\/li>\n<\/ul>\n
    \n

    \u8cc7\u6599\u7bc4\u570d<\/h3>\n
      \n
    • \n

      \u6574\u6578\u6578\u7d44 nums<\/code> \u7684\u9577\u5ea6\u7bc4\u570d\uff1a
      \n$$1 \\le \\text{nums.length} \\le 10^5$$<\/p>\n<\/li>\n

    • \n

      \u6bcf\u500b\u5143\u7d20\u7684\u53d6\u503c\u7bc4\u570d\uff0832\u4f4d\u6709\u7b26\u865f\u6574\u6578\uff09\uff1a
      \n$$-2^{31} \\le \\text{nums}[i] \\le 2^{31} – 1$$<\/p>\n<\/li>\n<\/ul>\n

      \u524d\u8a00<\/h2>\n

      \u9019\u984cHard\u883b\u6709\u8da3\u7684<\/p>\n

      \u60f3\u6cd5<\/h3>\n

      \u9019\u984c\u986f\u7136\u53ef\u4ee5\u7528$O(n\\lg n)$\u7684sort\u4f86\u76f4\u63a5\u89e3\u6c7a\uff0c\u4f46\u662f\u984c\u76ee\u8981\u6c42\u8981$O(n)$\uff0c\u800c\u4e14\u7a7a\u9593\u9084\u4e0d\u80fd\u53e6\u5916\u958b\u3002
      \n\u5176\u5be6\u53ea\u8981\u60f3\u5230\u4e00\u500b\u60f3\u6cd5\uff0c\u57fa\u672c\u4e0a\u5c31\u96e2\u89e3\u51fa\u4f86\u4e0d\u9060\u4e86\u3002
      \n\u6ce8\u610f\u5230\u6211\u5011\u53ef\u80fd\u8f38\u51fa\u7684\u7b54\u6848\u662f$[1,2,\u2026,\\text{nums.size()}]$\uff0c\u6240\u4ee5\u7576\u4f60\u78b0\u5230\u4e0d\u5728\u9019\u500b\u7bc4\u570d\u88e1\u7684\u6578\u5b57\uff0c\u5c31\u53ef\u4ee5\u90fd\u5148\u8a2d\u62100\u3002
      \n\u5982\u679c\u9047\u5230\u5728\u9019\u500b\u7bc4\u570d\u7684\u6578\u5b57\u5462\uff1f\u53ef\u4ee5\u60f3\u5230\uff0c\u5982\u679c\u6211\u5011\u80fd\u5920\u628a\u6578\u5b57$x$\u653e\u5230$\\text{nums}[x-1]$\uff0c\u9019\u6a23\u6700\u5f8c\u6211\u5011\u53ea\u8981\u518d\u904d\u6b77\u4e00\u6b21array\u5c31\u53ef\u4ee5\u627e\u5230\u54ea\u4e00\u500b\u6700\u5c0f\u7684\u6b63\u6574\u6578\u6c92\u51fa\u73fe\u904e\u4e86\u3002
      \n\u4f46\u662f\u7576\u4f60\u5be6\u969b\u958b\u59cb\u505a\u9019\u4ef6\u4e8b\u7684\u6642\u5019\u6703\u6709\u4e00\u500b\u554f\u984c\uff0c\u5982\u679c$\\text{nums}[x-1]$\u4e5f\u5305\u542b\u4e86\u4e00\u500b\u6b63\u78ba\u7bc4\u570d\u7684\u6578\u5b57\u600e\u9ebc\u8fa6\uff1f\u6211\u5011\u5fc5\u9808\u5148\u628a\u9019\u500b\u6578\u5b57\u653e\u5230\u597d\u7684\u4f4d\u7f6e\u624d\u884c\uff0c\u5426\u5247\u6211\u5011\u5c31\u6703\u8986\u84cb\u6389\u4e00\u500b\u597d\u7684\u6578\u5b57\u3002
      \n\u65bc\u662f\u6211\u5011\u53ef\u4ee5\u905e\u8ff4\u5730\u505a\u9019\u4ef6\u4e8b\uff0c\u76f4\u5230\u6211\u5011\u653e\u7684\u4f4d\u7f6e\u5c31\u662f\u7576\u524d\u4f4d\u7f6e\uff0c\u6216\u8005\u9047\u5230\u4e0d\u5728\u6211\u5011\u8003\u616e\u7bc4\u570d\u7684\u6578\u5b57\u6642\u5c31\u6703\u505c\u6b62\u3002
      \n\u53ea\u662f\u8981\u7a0d\u5fae\u8003\u616e\u4e00\u4e0b\u4e00\u500b\u72c0\u6cc1\uff1a\u6211\u5011\u9047\u5230\u6578\u5b57$\\text{nums}[i] = x$\uff0c\u8981\u628a\u5b83\u653e\u5230$\\text{nums}[x-1]$\uff0c\u7d50\u679c\u53c8\u7d93\u904e\u5e7e\u8f2a\u905e\u8ff4\u4ee5\u5f8c\uff0c\u53c8\u8981\u628a\u67d0\u500b\u6578\u5b57\u653e\u56de\u5230$\\text{nums}[i]$\u600e\u9ebc\u8fa6\uff1f\u6211\u5011\u7684\u7a0b\u5f0f\u6703\u770b\u5230\u4e00\u500b\u5408\u6cd5\u7684\u6578\u5b57\uff0c\u53c8\u7e7c\u7e8c\u905e\u8ff4\u4e0b\u53bb\u3002
      \n\u56e0\u6b64\u6211\u5011\u9700\u8981\u5148\u8a2d\u5b9a$\\text{nums}[i] = 0$\u518d\u905e\u8ff4\u4e0b\u53bb\uff0c\u4ee5\u7d42\u6b62\u9019\u500bdead lock\u3002(\u7576\u7136\uff0c\u539f\u59cb\u7684\u6578\u5b57$x$\u5148\u7528\u4e00\u500b\u8b8a\u6578\u5b58\u8d77\u4f86)
      \n\u81f3\u65bc\u53ef\u80fd\u6703\u64d4\u5fc3\u9019\u6a23\u905e\u8ff4\u4e0b\u53bb\u8907\u96dc\u5ea6\u6703\u8d85\u8d8a$O(n)$\u3002\u53ef\u4ee5\u9019\u6a23\u60f3\uff0c\u6bcf\u4e00\u6b21\u905e\u8ff4\uff0c\u5047\u8a2d\u905e\u8ff4\u4e86$k$\u5c64\uff0c\u90a3\u9ebc\u5c31\u6709$k$\u500bindex\u88ab\u8a2d\u5b9a\u70ba\u6b63\u78ba\u7684\u6578\u5b57\u6216\u8005$0$\u3002\u4e4b\u5f8c\u7684\u905e\u8ff4\u53ea\u8981\u9047\u5230\u9019\u4e9b\u6578\u5b57\u90fd\u6703\u76f4\u63a5\u505c\u6b62\uff0c\u56e0\u6b64\u53ef\u4ee5\u767c\u73fe\uff0c\u9019\u7a2e\u905e\u8ff4\u7684\u884c\u70ba\u6700\u591a$2n$\u6b21\uff0c\u662f$O(n)$\u7684\u3002<\/p>\n

      \u7a0b\u5f0f\u78bc:<\/h3>\n
      class Solution {\npublic:\n    void putNumber(vector<int>& nums, int idx){\n        if(nums[idx]<=0 or nums[idx]>nums.size()){\n            nums[idx] = 0;\n            return;\n        }\n        if(nums[idx] == idx + 1) return;\n        if(nums[nums[idx] - 1] <= 0 or nums[nums[idx] - 1] > nums.size()){\n            nums[nums[idx] - 1] = nums[idx];\n            nums[idx] = 0;\n        }else{\n            int curNum = nums[idx];\n            nums[idx] = 0;\n            putNumber(nums, curNum - 1);\n            nums[curNum - 1] = curNum;\n        }\n    }\n    int firstMissingPositive(vector<int>& nums) {\n        for(int i=0;i<nums.size();i++){\n            if(nums[i]<=0 or nums[i]>nums.size()){\n                nums[i] = 0;\n                continue;\n            }else if(nums[i] == i + 1){\n                continue;\n            }else{\n                putNumber(nums, i);\n            }\n        }\n        int ans = 1;\n        for(int i=0;i<nums.size();i++){\n            if(nums[i] == ans) ans++;\n        }\n        return ans;\n    }\n};\n<\/code><\/pre>\n<\/div>\n\n\n\n
      <\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[3],"tags":[48,9,8],"class_list":["post-193","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-leetcode","tag-ojcode","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nLeetCode. 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