题目如下: We write the integers of A and B (in the order they are given) on two separate horizontal lines. Now, we may draw connecting lines: a straight line connecting two numbers A[i] and B[j] such that: A[i] == B[j]; The line we draw does not intersec…

原文:算法起步之动态规划LCS 前一篇文章我们了解了什么是动态规划问题,这里我们再来看动态规划另一个经典问题,最长公共子序列问题(LCS),什么是子序列,我们定义:一个给定序列将其中的0个或者多个元素去掉之后得到的序列就是他的子序列.例如序列x包含(a,b,c,b,d,a,b)那么序列y(b,c,d,b)就是x的一个子序列.公共子序列则是两个序列的公共的子序列,而最长公共子序列则是从两个序列的公共子序列中挑选出长度最长的子序列. 我们用我们说的动态规划的四步来分析这个问题.一刻画最长公共子序列的…

We write the integers of A and B (in the order they are given) on two separate horizontal lines. Now, we may draw a straight line connecting two numbers A[i] and B[j] as long as A[i] == B[j], and the line we draw does not intersect any other connecti…

题意读了半年,唉,给你两串字符,然后长度不同,你能够用'-'把它们补成同样长度,补在哪里取决于得分,它会给你一个得分表,问你最大得分 跟LCS非常像的DP数组 dp[i][j]表示第一个字符串取第i个元素第二个字符串取第三个元素,然后再预处理一个得分表加上就可以 得分表: score['A']['A'] = score['C']['C'] = score['G']['G'] = score['T']['T'] = 5; score['A']['C'] = score['C']['A'] = -1…

#include<iostream> #include<cstdio> #include<cstring> #include<string> using namespace std; //LCS const int MAXN = 1005; int DP[MAXN][MAXN]; int main() { string a; string b; while(cin >> a >> b) { int l1 = a.size(); int…

1.最大连续子序列 dp[i]=max(dp[i-1]+a[i],a[i]) 以i为结尾 2.最大不连续子序列 dp[i]=max(dp[j]+a[i],dp[j]) 3.最大连续递增子序列 if a[i]>a[j]    dp[i]=max(dp[i-1]+a[i],a[i]) 4.最大不连续递增子序列 if a[i]>a[j]    dp[i]=max(dp[j]+a[i],dp[j]) 5.最长不连续公共子序列 if a[i-1]==b[j-1]     dp[i][j]=dp[i-1]…

递推公式: ]==b[j-]) { dp[i][j]=dp[i-][j-]+; } else { dp[i][j]=max(dp[i-][j],dp[i][j-]); } 完整模板代码: int LCS(string a,string b){ ][]; ;i<=a.size();i++){ ;j<=b.size();j++){ ]==b[j-]) { dp[i][j]=dp[i-][j-]+; } else { dp[i][j]=max(dp[i-][j],dp[i][j-]); } } }…

04年的省选这么water吗,开个滚动数组算了 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #include <cmath> #define R(a,b,c) for(register int a = (b); a <= (c); ++ a) #define nR(a,b,c) for(register int a = (b);…

Hello everyone, I am a Chinese noob programmer. I have practiced questions on leetcode.com for 2 years. During this time, I studied a lot from many Great Gods' articles. After worship, I always wanted to write an article as they did, and now I take t…

Problem B The Twin Towers Input: standard input Output: standard output Once upon a time, in an ancient Empire, there were two towers of dissimilar shapes in two different cities. The towers were built by putting circular tiles one upon another. Each…