{"id":204405,"date":"2020-11-25T03:09:02","date_gmt":"2020-11-24T19:09:02","guid":{"rendered":"http:\/\/4563.org\/?p=204405"},"modified":"2020-11-25T03:09:02","modified_gmt":"2020-11-24T19:09:02","slug":"%e6%8e%92%e5%ba%8f%e7%9f%a9%e9%98%b5%e4%b8%ad%e7%9a%84%e4%bb%8e%e5%b0%8f%e5%88%b0%e5%a4%a7%e7%ac%ac-k-%e4%b8%aa%e6%95%b0","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=204405","title":{"rendered":"\u6392\u5e8f\u77e9\u9635\u4e2d\u7684\u4ece\u5c0f\u5230\u5927\u7b2c k \u4e2a\u6570"},"content":{"rendered":"<div>\n<div>\n<div>\n<h1>                  \u6392\u5e8f\u77e9\u9635\u4e2d\u7684\u4ece\u5c0f\u5230\u5927\u7b2c k \u4e2a\u6570               <\/h1>\n<p> <\/p>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : zzzrf <\/span>  <span><i><\/i> 3<\/span> <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div isfirst=\"1\"> <\/p>\n<p>\u5728\u4e00\u4e2a\u6392\u5e8f\u77e9\u9635\u4e2d\u627e\u4ece\u5c0f\u5230\u5927\u7684\u7b2c k \u4e2a\u6574\u6570\u3002 \u6392\u5e8f\u77e9\u9635\u7684\u5b9a\u4e49\u4e3a\uff1a\u6bcf\u4e00\u884c\u9012\u589e\uff0c\u6bcf\u4e00\u5217\u4e5f\u9012\u589e\u3002<\/p>\n<p>\u5728\u7ebf\u8bc4\u6d4b\u5730\u5740<\/p>\n<h2>\u6837\u4f8b 1:<\/h2>\n<pre><code>\u8f93\u5165: [   [1 ,5 ,7],   [3 ,7 ,8],   [4 ,8 ,9], ] k = 4 \u8f93\u51fa: 5 <\/code><\/pre>\n<h2>\u6837\u4f8b 2:<\/h2>\n<pre><code>\u8f93\u5165:  [   [1, 2],   [3, 4] ] k = 3 \u8f93\u51fa: 3 <\/code><\/pre>\n<h2>\u7b97\u6cd5\uff1a\u4e8c\u5206<\/h2>\n<p>\u9898\u76ee\u4e2d\u77e9\u9635 n \u884c m \u5217\uff0c\u6bcf\u884c\u6bcf\u5217\u90fd\u662f\u5355\u8c03\u7684\uff0c\u6211\u4eec\u53ef\u4ee5\u6309\u7167\u884c\u6216\u8005\u5217\u505a \u628a n \u884c\u5f53\u6210 n \u4e2a\u6570\u7ec4 \u5373\u6c42 n \u4e2a\u6709\u5e8f\u6570\u7ec4\u91cc\u7b2c k \u5c0f\u503c\u662f\u591a\u5c11<\/p>\n<p>\u5982\u679c\u5e8f\u5217\u6709\u5e8f\uff0c\u5219\u53ef\u4ee5\u7528\u4e00\u79cd\u66f4\u6709\u6548\u7387\u7684\u67e5\u627e\u65b9\u6cd5\u6765\u67e5\u627e\u5e8f\u5217\u4e2d\u7684\u8bb0\u5f55\uff0c\u8fd9\u5c31\u662f\u6298\u534a\u67e5\u627e\u6cd5\uff0c\u53c8\u79f0\u4e3a\u4e8c\u5206\u641c\u7d22\u3002 \u6298\u534a\u67e5\u627e\u7684\u57fa\u672c\u601d\u60f3\uff1a\u51cf\u5c11\u4e00\u534a\u7684\u67e5\u627e\u5e8f\u5217\u7684\u957f\u5ea6\uff0c\u5206\u800c\u6cbb\u4e4b\u5730\u8fdb\u884c\u5173\u952e\u5b57\u7684\u67e5\u627e\u3002\u4ed6\u7684\u67e5\u627e\u8fc7\u7a0b\u662f\uff1a\u5148\u786e\u5b9a\u5f85\u67e5\u627e\u8bb0\u5f55\u7684\u6240\u5728\u7684\u8303\u56f4\uff0c\u7136\u540e\u9010\u6e10\u7f29\u5c0f\u67e5\u627e\u7684\u8303\u56f4\uff0c\u76f4\u81f3\u627e\u5230\u8be5\u8bb0\u5f55\u4e3a\u6b62\uff08\u4e5f\u53ef\u80fd\u67e5\u627e\u5931\u8d25\uff09\u3002 \u5728\u6700\u7b80\u5355\u7684\u5f62\u5f0f\u4e2d\uff0c\u4e8c\u5206\u67e5\u627e\u5bf9\u5177\u6709\u6307\u5b9a\u5de6\u7d22\u5f15\u548c\u53f3\u7d22\u5f15\u7684\u8fde\u7eed\u5e8f\u5217\u8fdb\u884c\u64cd\u4f5c\u3002\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u67e5\u627e\u7a7a\u95f4\u3002\u4e8c\u5206\u67e5\u627e\u7ef4\u62a4\u67e5\u627e\u7a7a\u95f4\u7684\u5de6\u3001\u53f3\u548c\u4e2d\u95f4\u6307\u793a\u7b26\uff0c\u5e76\u6bd4\u8f83\u67e5\u627e\u76ee\u6807\u6216\u5c06\u67e5\u627e\u6761\u4ef6\u5e94\u7528\u4e8e\u96c6\u5408\u7684\u4e2d\u95f4\u503c\uff1b\u5982\u679c\u6761\u4ef6\u4e0d\u6ee1\u8db3\u6216\u503c\u4e0d\u76f8\u7b49\uff0c\u5219\u6e05\u9664\u76ee\u6807\u4e0d\u53ef\u80fd\u5b58\u5728\u7684\u90a3\u4e00\u534a\uff0c\u5e76\u5728\u5269\u4e0b\u7684\u4e00\u534a\u4e0a\u7ee7\u7eed\u67e5\u627e\uff0c\u76f4\u5230\u6210\u529f\u4e3a\u6b62\u3002\u5982\u679c\u67e5\u4ee5\u7a7a\u7684\u4e00\u534a\u7ed3\u675f\uff0c\u5219\u65e0\u6cd5\u6ee1\u8db3\u6761\u4ef6\uff0c\u5e76\u4e14\u65e0\u6cd5\u627e\u5230\u76ee\u6807\u3002<\/p>\n<h2>\u672c\u9898\u601d\u8def<\/h2>\n<ol>\n<li>\u4e8c\u5206\u7b2c k \u5c0f\u7684\u662f\u591a\u5c11 \u4e8c\u5206\u89e3\u51b3\u5224\u5b9a\u6027\u95ee\u9898 \u6211\u4eec\u4e8c\u5206\u51fa\u6765\u7b2c k \u5c0f\u662f x\uff0c \u7edf\u8ba1\u51fa\u6709 num \u4e2a\u5143\u7d20\u5c0f\u4e8e\u7b49\u4e8e x \u5982\u679c num\u2265k \u6211\u4eec\u5c31\u53ef\u4ee5\u51cf\u5c0f\u4e0a\u754c \u5426\u5219\u5c31\u53ef\u4ee5\u63d0\u9ad8\u4e0b\u754c<\/li>\n<li>\u5bf9\u4e8e\u4e8c\u5206\u51fa\u6765\u7684 x\uff0c\u5224\u65ad\u6709\u591a\u5c11\u4e2a\u5143\u7d20\u662f\u5c0f\u4e8e\u7b49\u4e8e x \u7684 \u6211\u4eec\u53ef\u4ee5\u5148\u627e\u5143\u7d20\u5927\u4e8e x \u7684\uff0c\u7136\u540e\u518d\u7528\u5143\u7d20\u603b\u4e2a\u6570\u51cf\u53bb\u5927\u4e8e x \u7684\u5143\u7d20\u4e2a\u6570 \u5982\u4f55\u6c42\u6709\u591a\u5c11\u5927\u4e8e x \u7684\u5143\u7d20\uff0c\u6211\u4eec\u53ef\u4ee5\u518d\u7528\u4e00\u6b21\u4e8c\u5206\u67e5\u627e upperbound \u51fd\u6570\uff0c\u5bf9 n \u4e2a\u6570\u7ec4\u90fd\u6267\u884c\u4e00\u6b21 upperbound \u67e5\u627e\u6bcf\u4e2a\u6570\u7ec4\u6709\u591a\u5c11\u6bd4 x \u5927\u7684<\/li>\n<\/ol>\n<pre><code>import java.util.Comparator;import java.util.PriorityQueue; public class Solution {      public long calc(int x, int[][] matrix) {         long num = 0;         for(int i = 0; i &lt; matrix.length; i++) {             int left = -1, right = matrix[i].length, pos = -1;             \/\/\u4e8c\u5206 upper_bound \u67e5\u627e\u591a\u5c11\u4e2a\u6bd4 x \u5927\u7684             while(left + 1 &lt; right) {                 int mid = left + (right - left) \/ 2;                 if(matrix[i][mid] &gt; x) {                     right = mid;                     pos = mid;                 } else {                     left = mid;                 }             }             if(pos == -1) {                 num += 0;             } else {                 num += matrix[i].length - pos;             }         }         return num;     }     \/**      * @param matrix: a matrix of integers      * @param k: An integer      * @return: the kth smallest number in the matrix      *\/     public int kthSmallest(int[][] matrix, int k) {         \/\/ write your code here         int left = matrix[0][0], right = matrix[0][0];          \/\/\u77e9\u9635\u884c\u6570         long n = matrix.length;         \/\/\u77e9\u9635\u5217\u6570         long m = matrix[0].length;         for(int i = 0; i &lt; n; i++) {             for(int j = 0; j &lt; m; j++) {                 \/\/\u786e\u5b9a\u4e8c\u5206\u4e0a\u4e0b\u754c                 left = Math.min(left, matrix[i][j]);                 right = Math.max(right, matrix[i][j]);             }         }         left -= 1;         right += 1;         while(left + 1 &lt; right) {             \/\/\u5224\u5b9a mid \u662f\u4e0d\u662f\u7b2c k \u5c0f             int mid = left + (right - left) \/ 2;             long num = calc(mid, matrix);             \/\/\u5982\u679c\u6bd4 mid \u5c0f\u7684\u8d85\u8fc7 k \u4e2a\uff0c\u5c31\u53ef\u4ee5\u7f29\u5c0f\u4e0a\u754c\uff0c\u5426\u5219\u63d0\u9ad8\u4e0b\u754c             if(n * m - num &gt;= (long)k) {                 right = mid;             } else {                 left = mid;             }         }         return right;     } } <\/code><\/pre>\n<\/p><\/div>\n<div> <b>\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (<span>0<\/span>)        <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<ul>\n<li>\n","protected":false},"excerpt":{"rendered":"<p>\u6392\u5e8f\u77e9\u9635\u4e2d\u7684\u4ece\u5c0f\u5230\u5927\u7b2c k \u4e2a\u6570 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/204405"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=204405"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/204405\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=204405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=204405"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=204405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}