{"id":319061,"date":"2021-02-05T07:29:22","date_gmt":"2021-02-04T23:29:22","guid":{"rendered":"http:\/\/4563.org\/?p=319061"},"modified":"2021-02-05T07:29:22","modified_gmt":"2021-02-04T23:29:22","slug":"google-%e9%9d%a2%e8%af%95%e9%a2%98%ef%bc%9a%e5%86%85%e7%a7%af","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=319061","title":{"rendered":"Google \u9762\u8bd5\u9898\uff1a\u5185\u79ef"},"content":{"rendered":"
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Google \u9762\u8bd5\u9898\uff1a\u5185\u79ef <\/h1>\n

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\u8cc7\u6df1\u5927\u4f6c : zzzrf <\/span> <\/i> 6<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
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\u63cf\u8ff0<\/h3>\n

\u7ed9\u5b9a\u957f\u5ea6\u4e3a N \u7684 A \u6570\u7ec4\uff0c\u957f\u5ea6\u4e3a K \u7684 B \u6570\u7ec4<\/p>\n

\u4f60\u53ef\u4ee5\u4ece A \u6570\u7ec4\u91cc\u53d6 K \u4e2a\u6570<\/p>\n

\u89c4\u5219\u5982\u4e0b\uff1a<\/h3>\n
    \n
  • \u6bcf\u4e2a Ai \u53ea\u80fd\u88ab\u53d6\u51fa\u4e00\u6b21<\/li>\n
  • i==1ori==N \u53ef\u4ee5\u76f4\u63a5\u53d6\u51fa Ai<\/li>\n
  • 2\u2264i\u2264N\u22121 \u82e5 Ai\u22121 \u6216\u8005<\/strong> Ai+1 \u5df2\u7ecf\u53d6\u51fa\uff0c\u5219\u53ef\u4ee5\u53d6\u51fa Ai<\/li>\n
  • \u8981\u53d6\u51fa\u6b63\u597d K \u4e2a\u6570<\/li>\n<\/ul>\n

    \u5373\u6bcf\u6b21\u53ef\u4ee5\u4ece A \u6570\u7ec4\u7684\u6700\u5de6\u8fb9\u6216\u8005\u6700\u53f3\u8fb9\u53d6\u8d70\u4e00\u4e2a\u6570\uff0c\u53d6\u8d70\u7684\u6570\u4ece\u6570\u7ec4\u4e2d\u79fb\u9664 \u5c06\u53d6\u51fa\u7684 Ai \u6309\u53d6\u51fa\u7684\u987a\u5e8f<\/strong> \u7ec4\u6210 C \u6570\u7ec4 \u6c42 B \u4e0e C \u7684\u5185\u79ef\u6700\u5927\u503c<\/strong><\/p>\n

    B \u4e0e C \u5185\u79ef\u4e3a\u2211i=0K\u22121Bi\u00d7Ci \u89e3\u91ca 1\uff1a A= [1,4,3,2,5] B=[1,2,3,4] K=4 \u53d6\u51fa A0 ,C=[1] \u53d6\u51fa A4 C=[1,5] \u53d6\u51fa A1 C=[1,5,4] \u53d6\u51fa A2 C=[1,5,4,3] B\u00b7C=11+2<\/em>5+34+4<\/em>3=35 \u8fd9\u53ea\u662f C \u7684\u4e00\u79cd\u53ef\u884c\u65b9\u6848\uff0c\u53ef\u80fd\u4e0d\u662f\u6700\u4f18\u65b9\u6848 \u89e3\u91ca 2 A=[1,2,3,4] \u4e0d\u80fd\u76f4\u63a5\u53d6\u51fa A1 \u56e0\u4e3a A0 \u548c A2 \u90fd\u6ca1\u6709\u53d6\u51fa<\/p>\n

    1\u2264K\u2264N\u22642000 1\u2264Ai,Bi\u2264100000<\/p>\n

    \u5728\u7ebf\u8bc4\u6d4b\u5730\u5740<\/p>\n

    \u6837\u4f8b<\/h3>\n
    [2,3,5,1] [2,1] \u53d6\u51fa A0,A1 <\/code><\/pre>\n
    \u7b97\u6cd5 DP<\/h3>\n
      \n
    1. DP \u65b9\u7a0b dpijdpij \u8868\u793a\u4ece\u5de6\u8fb9\u53d6\u4e86 i \u4e2a\u6570\uff0c\u4ece\u53f3\u8fb9\u53d6\u4e86 j \u4e2a\u6570\u7684\u6700\u5927\u5185\u79ef<\/li>\n
    2. DP \u65b9\u7a0b\u8f6c\u79fb <\/li>\n<\/ol>\n
      \u5373\u5224\u65ad\u4e0a\u4e00\u6b21\u4ece\u5de6\u8fb9\u53d6\u8fd8\u662f\u4ece\u53f3\u8fb9\u53d6\u6570\u54ea\u4e2a\u5185\u79ef\u66f4\u5927 3. DP \u8fb9\u754c\u6761\u4ef6 dp00=0dp00=0 \u4e24\u8fb9\u90fd\u6ca1\u53d6\u6570 \u5185\u79ef\u4e3a 0 4. \u7b54\u6848 ans=max(ans,dpiK\u2212i)ans=max(ans,dpiK\u2212i) \u5373\u679a\u4e3e\u5de6\u8fb9\u53d6\u4e86\u591a\u5c11\u4e2a\u6570\uff0c\u7b54\u6848\u53d6 dp \u6570\u7ec4\u6700\u5927\u503c<\/p>\n
      \u590d\u6742\u5ea6\u5206\u6790<\/h3>\n
        \n
      • \u65f6\u95f4\u590d\u6742\u5ea6 n \u662f A \u6570\u7ec4\u957f\u5ea6 K \u662f B \u6570\u7ec4\u957f\u5ea6 \u5de6\u53f3\u4e24\u8fb9\u53d6\u6570\u5747\u4e0d\u8d85\u8fc7 K \u4e2a \u6240\u4ee5\u72b6\u6001\u91cf O(K2)O(K2) \u8f6c\u79fb O(1)O(1) \u6240\u4ee5\u603b\u65f6\u95f4\u590d\u6742\u5ea6 O(K2)O(K2)<\/li>\n
      • \u7a7a\u95f4\u590d\u6742\u5ea6 \u5de6\u53f3\u4e24\u8fb9\u53d6\u6570\u5747\u4e0d\u8d85\u8fc7 K \u4e2a \u6240\u4ee5\u72b6\u6001\u91cf O(K2)O(K2) \u6240\u4ee5\u603b\u7a7a\u95f4\u590d\u6742\u5ea6 O(K2)<\/li>\n<\/ul>\n
        public class Solution {     \/**      * @param A: the A array      * @param B: the B array      * @return: return the maxium inner product of B and C      *\/     public long getMaxInnerProduct(int[] A, int[] B) {         \/\/ write your code here         \/\/A \u6570\u7ec4\u957f\u5ea6         int  n = A.length;         \/\/B \u6570\u7ec4\u957f\u5ea6         int  K = B.length;         \/\/\u521d\u59cb\u5316 dp \u6570\u7ec4         \/\/dp[i][j]\u8868\u793a\u4ece\u5de6\u8fb9\u53d6\u4e86 i \u4e2a\u6570\uff0c\u4ece\u53f3\u8fb9\u53d6\u4e86 j \u4e2a\u6570\u7684\u6700\u5927\u5185\u79ef         long [][]dp = new long [K + 1][K + 1];          \/\/\u679a\u4e3e dp[i][j]         for(int i = 0; i <= K; i++) {             for(int j = 0; j <= K; j++) {                  \/\/\u4ece\u5de6\u8fb9\u548c\u53f3\u8fb9\u53d6\u6570\u603b\u6570\u4e0d\u8d85\u8fc7 K \u4e2a                 if(i + j > K) {                     break;                 }                 if(i + j > n) {                     break;                 }                 \/\/dp \u6570\u7ec4\u8fb9\u754c\u6761\u4ef6\uff0c\u4ece\u5de6\u53f3\u90fd\u4e0d\u53d6\u6570\u7684\u65f6\u5019\uff0cdp[0][0]=0                 if(i == 0 && j == 0) {                     dp[i][j] = 0;                     continue;                 }                  \/\/\u4ece\u5de6\u8fb9\u53d6\u7684 i \u66f4\u65b0 dp[i][j]                 if(i != 0) {                     dp[i][j] = Math.max(dp[i][j], dp[i - 1][j] + (long)A[i - 1] * (long)B[i + j - 1]);                 }                 \/\/\u4ece\u53f3\u8fb9\u53d6\u7684 j\uff0c\u66f4\u65b0 dp[i][j]                 if(j != 0) {                     dp[i][j] = Math.max(dp[i][j], dp[i][j - 1] + (long)A[n - j] * (long)B[i + j - 1]);                 }              }         }         \/\/\u679a\u4e3e\u4ece\u5de6\u8fb9\u53d6\u4e86\u591a\u5c11\uff0c\u627e\u6700\u5927\u7684\u5185\u79ef         long ans = 0;         for(int i = 0; i <= K; i++) {             ans = Math.max(ans, dp[i][K - i]);         }                  return ans;     } } <\/code><\/pre>\n
        \u66f4\u591a\u9898\u89e3\u53c2\u8003<\/p>\n<\/p><\/div>\n
         \u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (0<\/span>)        <\/div>\n
         <\/div>\n<\/p><\/div>\n<\/p><\/div>\n
          \n
        • \n","protected":false},"excerpt":{"rendered":"
          Google \u9762\u8bd5\u9898\uff1a\u5185\u79ef \u8cc7\u6df1\u5927…<\/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\/319061"}],"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=319061"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/319061\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=319061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=319061"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=319061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}