{"id":2314,"date":"2022-04-01T15:21:11","date_gmt":"2022-04-01T07:21:11","guid":{"rendered":"https:\/\/wordpress.cine.idv.tw\/?p=2314"},"modified":"2022-04-06T01:18:34","modified_gmt":"2022-04-05T17:18:34","slug":"algorithm-two-number-sum","status":"publish","type":"post","link":"https:\/\/wordpress.cine.idv.tw\/index.php\/2022\/04\/01\/algorithm-two-number-sum\/","title":{"rendered":"\u6f14\u7b97\u6cd5: Two Number Sum"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u524d\u4e9b\u65e5\u5b50\u6709\u500b\u670b\u53cb\u554f\u6211\u4e00\u500b\u554f\u984c\uff0c \u6709\u67d0\u67b6\u98db\u6a5f\u8d77\u98db\u524d\u7684\u91cd\u91cf\uff0c \u8ddd\u96e2\u6700\u5927\u8f09\u91cd\u9084\u6709 150 \u516c\u65a4\uff0c \u5730\u52e4\u4eba\u54e1\u60f3\u8981\u5f9e\u767b\u8a18\u5019\u88dc\u6a5f\u4f4d\u7684\u65c5\u5ba2\u4e2d\uff0c\u627e\u51fa\u5169\u500b\u65c5\u5ba2\u9ad4\u91cd\u7684\u548c\u525b\u597d\u7b49\u65bc 150 \u516c\u65a4\u4f86\u628a\u98db\u6a5f\u585e\u6eff\uff0c \u8acb\u554f\u5730\u52e4\u4eba\u54e1\u6709\u6c92\u6709\u751a\u9ebc\u597d\u65b9\u6cd5\u53ef\u4ee5\u89e3\u6c7a\u9019\u500b\u554f\u984c\uff1f \u6211\u807d\u5230\u9019\u500b\u554f\u984c\u4e4b\u5f8c\uff0c \u7a81\u7136\u60f3\u8d77 Two Number Sum \u9019\u500b\u6f14\u7b97\u6cd5\u554f\u984c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8aaa\u5be6\u5728\u7684\uff0c Two Number Sum, Three Number Sum, &#8230;, N Number Sum \u554f\u984c\uff0c \u904e\u53bb\u5728\u66f8\u4e0a\u6216\u662f\u9762\u8a66\u7684\u8a66\u5377\u4e0a\uff0c \u770b\u5230\u9019\u4e9b\u554f\u984c\u7684\u6642\u5019\uff0c \u7e3d\u662f\u5f88\u76f4\u89ba\u5730\u5c31\u9032\u5165\u600e\u9ebc\u7528\u7a0b\u5f0f\u89e3\u6c7a\u9019\u7a2e\u554f\u984c\uff0c \u5f9e\u4f86\u4e5f\u6c92\u60f3\u904e\u5728\u5be6\u969b\u751f\u6d3b\u4e0a\u53ef\u4ee5\u767c\u63ee\u751a\u9ebc\u4f5c\u7528\uff0c \u6c92\u60f3\u5230\u670b\u53cb\u9019\u9ebc\u4e00\u554f\uff0c \u7576\u4e0b\u5c31\u8b93\u6211\u9a5a\u89ba\u5982\u679c\u4e0d\u662f\u670b\u53cb\u795e\u4f86\u4e00\u554f\uff0c \u6211\u9084\u771f\u7684\u5c31\u53ea\u662f\u505c\u7559\u5728\u77e5\u5176\u6240\u4ee5\uff0c \u800c\u4e0d\u77e5\u5176\u6240\u4ee5\u7136\uff0c \u4e0d\u77e5\u70ba\u8ab0\u800c\u6230\uff0c \u70ba\u4f55\u800c\u6230\u7684\u8655\u5883\u800c\u4e0d\u81ea\u77e5\u4e86\uff0c \u60f3\u4f86\u5c31\u89ba\u5f97\u615a\u6127\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd5 1 &#8211; \u8ff4\u5708\u6cd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u662f\u6700\u76f4\u89ba\u7684\u65b9\u6cd5\uff0c \u5229\u7528\u5169\u500b\u8ff4\u5708\uff0c \u628a\u7d66\u5b9a\u7684\u6578\u503c\u5169\u5169\u76f8\u52a0\u4e4b\u5f8c\uff0c \u627e\u51fa\u7b2c\u4e00\u500b\u6eff\u8db3\u76f8\u52a0\u7684\u7d50\u679c\u7b49\u65bc\u6240\u6c42\u6578\u503c\uff0c \u5c31\u53ef\u4ee5\u89e3\u6c7a\u9019\u500b\u554f\u984c\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def twoNumberSum(numberArray, targetSum):\n    for i in range(len(numberArray) - 1):\n        firstNumber = numberArray&#91;i]\n        for j in range(i + 1, len(numberArray)):\n            secondNumber = numberArray&#91;j]\n            if firstNumber + secondNumber == targetSum:\n                return &#91;firstNumber, secondNumber]\n    return &#91;]\n\n\nna = &#91;3, 5, -4, 8, 11, 1, -1, 6]\nts = 10\nfound = twoNumberSum(na, ts)\nif len(found) &gt; 0:\n    print('found:', *found)\nelse:\n    print('not found!')\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u500b\u65b9\u6cd5\u7684 time complexity \u662f O(n^2) \uff0c space complexity \u662f O(1) \u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd5\u4e8c\u3001\u96dc\u6e4a\u6cd5 (\u5b57\u5178\u6cd5)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5229\u7528\u8cc7\u6599\u7d50\u69cb\u4e2d\u6240\u4ecb\u7d39\u7684\u96dc\u6e4a\u8868 (Hash Table) \uff0c\u6211\u5011\u5f9e\u4e00\u500b\u7a7a\u7684\u96dc\u6e4a\u8868\u958b\u59cb\uff0c \u4f9d\u5e8f\u5c07\u7d66\u5b9a\u7684\u6578\u503c\u62ff\u51fa\u4f86\u8207\u6240\u6c42\u6578\u503c\u76f8\u6bd4\u8f03\uff0c \u770b\u770b\u5728\u96dc\u6e4a\u8868\u4e2d\u6709\u6c92\u6709\u525b\u597d\u7b49\u65bc\u5169\u8005\u4e4b\u5dee\u7684\u6578\u503c\uff0c \u5982\u679c\u6709\u7684\u8a71\u90a3\u73fe\u5728\u8207\u6240\u6c42\u6578\u503c\u6bd4\u8f03\u5730\u7d66\u5b9a\u6578\u503c\uff0c \u8207\u96dc\u6e4a\u8868\u4e2d\u5b58\u5728\u7684\u5dee\u503c\u6578\u503c\u5c31\u662f\u6211\u5011\u8981\u627e\u7684\u5169\u500b\u6578\u503c\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def twoNumberSum(numberArray, targetSum):\n    numberHashTable = {}\n    for currentNumber in numberArray:\n        potentialNumber = targetSum - currentNumber\n        if potentialNumber in numberHashTable:\n            return &#91;potentialNumber, currentNumber]\n        else:\n            numberHashTable&#91;currentNumber] = True\n    return &#91;]\n\nna = &#91;3, 5, -4, 8, 11, 1, -1, 6]\nts = 10\nfound = twoNumberSum(na, ts)\nif len(found) &gt; 0:\n    print('found:', *found)\nelse:\n    print('not found!')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u500b\u65b9\u6cd5\u7684 time complexity \u662f O(n) \uff0c space complexity \u662f O(n) \u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd5\u4e09\u3001\u6392\u5e8f\u6cd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5229\u7528\u8db3\u5920\u597d\u7684\u6392\u5e8f\u6f14\u7b97\u6cd5\uff0c \u6211\u5011\u53ef\u4ee5\u5148\u5c07\u7d66\u5b9a\u7684\u6578\u503c\u7531\u5c0f\u5230\u5927\u5347\u51aa\u6392\u5e8f\uff0c \u7531\u6700\u5de6\u908a\u8207\u6700\u53f3\u908a\u53d6\u51fa\u5169\u500b\u6578\u503c\u4f86\u76f8\u52a0\uff0c \u5982\u679c\u76f8\u52a0\u4e4b\u503c\u525b\u597d\u7b49\u65bc\u6240\u6c42\u4e4b\u503c\uff0c \u90a3\u9ebc\u76ee\u524d\u5de6\u3001\u53f3\u9019\u5169\u500b\u6578\u503c\u5c31\u662f\u554f\u984c\u7684\u89e3\u7b54\u3002 \u5426\u5247\uff0c \u5982\u679c\u76f8\u52a0\u4e4b\u503c\u6bd4\u8f03\u5c0f\uff0c \u8868\u793a\u6211\u5011\u8981\u628a\u5de6\u908a\u7684\u6578\uff0c \u5f80\u525b\u525b\u597d\u6bd4\u5b83\u5927\u7684\u4e0b\u4e00\u500b\u6578\u79fb\u52d5\uff1b \u53cd\u4e4b\uff0c \u5982\u679c\u76f8\u52a0\u4e4b\u503c\u6bd4\u8f03\u5927\uff0c \u5c31\u8868\u793a\u6211\u5011\u8981\u628a\u53f3\u908a\u7684\u6578\uff0c \u5f80\u525b\u525b\u6bd4\u5b83\u5c0f\u7684\u4e0b\u4e00\u500b\u6578\u79fb\u52d5\uff0c \u518d\u91cd\u65b0\u52a0\u7e3d\u8207\u6240\u6c42\u4e4b\u503c\u9032\u884c\u6aa2\u67e5\uff0c \u5982\u6b64\u53cd\u8986\u9032\u884c\u6b64\u904e\u7a0b\uff0c \u4e00\u76f4\u5230\u5de6\u908a\u8207\u53f3\u908a\u9019\u5169\u500b\u7528\u4f86\u53d6\u5f97\u6578\u503c\u7684\u7d22\u5f15\uff0c \u4e92\u76f8\u8d85\u904e\u5c0d\u65b9\u70ba\u6b62\uff0c \u5982\u679c\u90fd\u6c92\u6709\u627e\u5230\u76f8\u52a0\u7b26\u5408\u6240\u6c42\u4e4b\u503c\u7684\u6578\u503c\uff0c \u5c31\u8868\u793a\u6211\u5011\u628a\u7d66\u5b9a\u7684\u6578\u503c\u5168\u90e8\u90fd\u8a08\u7b97\u904e\u4e86\u4e4b\u5f8c\uff0c \u627e\u4e0d\u5230\u554f\u984c\u6240\u8981\u7684\u7b54\u6848\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def twoNumberSum(numberArray, targetSum):\n    numberArray.sort()\n    leftIndex = 0\n    rightIndex = len(numberArray) - 1\n    while leftIndex &lt; rightIndex:\n        currentSum = numberArray&#91;leftIndex] + numberArray&#91;rightIndex]\n        if currentSum == targetSum:\n            return &#91;numberArray&#91;leftIndex], numberArray&#91;rightIndex]]\n        elif currentSum &lt; targetSum:\n            leftIndex += 1\n        elif currentSum &gt; targetSum:\n            rightIndex -= 1\n    return &#91;]\n\n\nna = &#91;3, 5, -4, 8, 11, 1, -1, 6]\nts = 10\nfound = twoNumberSum(na, ts)\nif len(found) &gt; 0:\n    print('found:', *found)\nelse:\n    print('not found!')<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9019\u500b\u65b9\u6cd5\u7684 time complexity \u662f O(n log(n)) \uff0c space complexity \u662f O(1) \u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8a0e\u8ad6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u670b\u53cb\u6703\u5beb\u7a0b\u5f0f\uff0c \u90a3\u9ebc\u6211\u628a\u9019\u4e00\u7bc7\u7684\u5167\u5bb9\u8ddf\u670b\u53cb\u8aaa\u660e\u6e05\u695a\u4e4b\u5f8c\uff0c \u5c31\u53ef\u4ee5\u89e3\u6c7a\u554f\u984c\u3002 \u9ebb\u7169\u7684\u662f\u9019\u4f4d\u670b\u53cb\u4e26\u4e0d\u6703\u5beb\u7a0b\u5f0f\uff0c \u56e0\u6b64\u6211\u5fc5\u9808\u5f97\u63d0\u4f9b\u5176\u4ed6\u7684\u65b9\u5f0f\u3002 \u9084\u597d\u6211\u7576\u5929\u982d\u8166\u9084\u7b97\u6e05\u695a\uff0c \u99ac\u4e0a\u53c8\u806f\u60f3\u5230\u9019\u500b\u554f\u984c\u597d\u50cf\u8ddf Excel \u8a66\u7b97\u8868\u7684\u898f\u5283\u6c42\u89e3\u554f\u984c\u6709\u9ede\u985e\u4f3c\u7684\u6a23\u5b50\u5594\uff0c \u65bc\u662f\u4e4e\u5c31\u53c8\u52fe\u8d77\u90a3\u6bb5\u5e38\u5e38\u4f7f\u7528 Excel \u8a66\u7b97\u8868\u7684\u5f80\u65e5\u56de\u61b6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f8c\u4f86\u4ed4\u7d30\u60f3\u60f3\uff0c \u5176\u4ed6\u8207\u670b\u53cb\u6240\u63d0\u554f\u984c\u985e\u4f3c\u7684\u751f\u6d3b\u554f\u984c\uff0c\u61c9\u8a72\u4e5f\u90fd\u53ef\u4ee5\u4f7f\u7528\u9019\u500b\u6f14\u7b97\u6cd5\u4f86\u6c42\u89e3\uff0c \u4f8b\u5982\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u83dc\u5e02\u5834\u8c6c\u8089\u6524\u8001\u95c6\u8ce3\u8089\u7684\u904e\u7a0b\u4e2d\uff0c \u7522\u751f\u4e86\u8a31\u591a\u4e0d\u540c\u91cd\u91cf\u7684\u8c6c\u8089\u584a\uff0c \u6709 200g\uff0c 400g \u7b49\u7b49\u5404\u7a2e\u4e0d\u540c\u91cd\u91cf\u7684\u8c6c\u8089\u584a\uff0c \u8c6c\u8089\u6524\u8001\u95c6\u4e5f\u90fd\u5206\u9580\u5225\u985e\u5730\u628a\u5b83\u5011\u90fd\u6574\u7406\u597d\u653e\u5728\u6524\u4f4d\u4e0a\uff0c \u73fe\u5728\u6709\u4e00\u500b\u9867\u5ba2\u8dd1\u4f86\u8981\u8ddf\u8001\u95c6\u8cb7\u7e3d\u91cd 700 \u516c\u514b\u7684\u8c6c\u8089\uff0c \u8acb\u554f\u8001\u95c6\u6709\u6c92\u6709\u751a\u9ebc\u597d\u65b9\u6cd5\u6311\u51fa 2 \u584a\u5148\u524d\u5df2\u7d93\u5207\u597d\u7684\u8c6c\u8089\u584a\uff0c \u5305\u88dd\u5728\u4e00\u8d77\u8ce3\u7d66\u5ba2\u4eba\u5462\uff1f<\/li><li>\u5de5\u5ee0\u6bcf\u534a\u5929\u751f\u7522\u51fa\u4f86\u7684\u6210\u54c1\uff0c \u5c31\u6703\u5728\u4f11\u606f\u7684\u6642\u5019\uff0c \u8a08\u7b97\u901a\u904e\u54c1\u4fdd\u7684\u6210\u54c1\u6578\u91cf\uff0c \u7136\u5f8c\u628a\u5b83\u5011\u5305\u88dd\u6210\u4e00\u888b\uff0c \u9001\u5230\u5009\u5eab\u53bb\u5b58\u653e\u7ba1\u7406\u3002 \u73fe\u5728\u6709\u4e00\u5f35\u5ba2\u6236\u7684\u8a02\u55ae\u8981\u8cfc\u8cb7\u67d0\u500b\u6578\u91cf\uff0c \u8001\u95c6\u898f\u5b9a\u5009\u5eab\u7684\u7ba1\u7406\u4eba\u54e1\u53bb\u627e\u51fa\u5169\u888b\u6210\u54c1\u6578\u91cf\u7b26\u5408\u8a72\u5ba2\u6236\u8a02\u55ae\u6578\u91cf\uff0c \u597d\u51fa\u8ca8\u7d66\u8a72\u5ba2\u6236\uff0c \u8acb\u554f\u5009\u7ba1\u4eba\u54e1\u6709\u6c92\u6709\u751a\u9ebc\u597d\u7684\u65b9\u6cd5\u6311\u51fa\u7b26\u5408\u8a02\u55ae\u6578\u91cf\u7684\u5169\u888b\u6210\u54c1\u5462\uff1f<\/li><li>BBC Earth \u983b\u9053 Inside the Factory (\u5de5\u5ee0\u8d70\u900f\u900f) \u7bc0\u76ee\u4e2d\uff0c \u63d0\u5230\u99ac\u9234\u85af\u7247\u5305\u88dd\u7684\u6642\u5f8c\uff0c \u99ac\u9234\u85af\u7247\u5f9e\u8f38\u9001\u5e36\u4e0a\uff0c \u6389\u5165 12 \u500b\u79e4\u91cd\u6f0f\u6597\u4e2d\uff0c \u7136\u5f8c\u96fb\u8166\u7a0b\u5f0f\u518d\u5f9e\u4e2d\u6311\u9078 2 \u500b (\u6216 3 \u3001 4 \u500b) \u525b\u597d\u7b26\u5408 25g \u7684\u6f0f\u6597\u958b\u555f\uff0c \u5c07\u5176\u4e2d\u7684\u85af\u7247\u6389\u5165\u5305\u88dd\u888b\u5c01\u88dd\u6210\u4e00\u888b\uff0c \u751f\u7522\u7dda\u7684\u54e1\u5de5\u63d0\u5230\u6574\u500b\u79e4\u91cd\u3001\u958b\u555f\u3001\u5305\u88dd\u904e\u7a0b\u53ea\u8981 30ms \u3002<\/li><li>&#8230; (\u5176\u4ed6\u6709\u78b0\u5230\uff0c \u6709\u60f3\u5230\u5c31\u7e7c\u7e8c\u88dc\u5728\u9019\u908a\uff0c \u6216\u662f\u8981\u63d0\u4f9b\u751f\u6d3b\u4f8b\u5b50\u4e5f\u53ef\u4ee5\u8ddf\u4f5c\u8005\u806f\u7e6b\u5594\uff0c \u8b1d\u8b1d\u56c9)<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u53c3\u8003\u8cc7\u6599<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/leetcode.com\/problems\/two-sum\/\">LeetCode<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u4e9b\u65e5\u5b50\u6709\u500b\u670b\u53cb\u554f\u6211\u4e00\u500b\u554f\u984c\uff0c \u6709\u67d0\u67b6\u98db\u6a5f\u8d77\u98db\u524d\u7684\u91cd\u91cf\uff0c \u8ddd\u96e2\u6700\u5927\u8f09\u91cd\u9084\u6709 150 \u516c\u65a4\uff0c \u5730\u52e4\u4eba\u54e1\u60f3\u8981\u5f9e\u767b\u8a18\u5019\u88dc\u6a5f\u4f4d\u7684\u65c5\u5ba2\u4e2d\uff0c\u627e\u51fa\u5169\u500b\u65c5\u5ba2\u9ad4\u91cd\u7684\u548c\u525b\u597d\u7b49\u65bc 150 \u516c\u65a4\u4f86\u628a\u98db\u6a5f\u585e\u6eff\uff0c \u8acb\u554f\u5730\u52e4\u4eba\u54e1\u6709\u6c92\u6709\u751a\u9ebc\u597d\u65b9\u6cd5\u53ef\u4ee5\u89e3 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