HDU 1159 Common Subsequence (dp)
2017-12-19 15:00
211 查看
Common Subsequence
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 42749 Accepted Submission(s): 19708
Problem Description
A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = <x1, x2, ..., xm> another sequence Z = <z1, z2, ..., zk> is a subsequence of X if there exists a strictly increasing sequence <i1, i2,
..., ik> of indices of X such that for all j = 1,2,...,k, xij = zj. For example, Z = <a, b, f, c> is a subsequence of X = <a, b, c, f, b, c> with index sequence <1, 2, 4, 6>. Given two sequences X and Y the problem is to find the length of the maximum-length
common subsequence of X and Y.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard
output the length of the maximum-length common subsequence from the beginning of a separate line.
Sample Input
abcfbc abfcab
programming contest
abcd mnp
Sample Output
4
2
0
用线性dp发现会出现错误 aa a两个数列答案是 2
错误代码:#include <stdio.h>
#include<algorithm>
#include<string.h>
using namespace std;
int main(int argc, char *argv[])
{
char a[1001],b[1001];
while(scanf("%s %s",a,b)!=EOF)
{
int dp[1001]={0};
int i,j,k;
int len1=strlen(a);
int len2=strlen(b);
for(i=0;i<len2;i++)
{
for(j=0;j<len1;j++)
{
if(b[i]==a[j])
{
dp[j]=1;
for(k=j-1;k>=0;k--)
{
dp[j]=max(dp[j],dp[k]+1);
}
4000
}
}
}
int max1=0;
for(i=0;i<len1;i++)
{
max1=max(dp[i],max1);
}
printf("%d\n",max1);
}
return 0;
}所以用矩阵类dp
#include <stdio.h>
#include<string.h>
int dp[1010][1010];
int main(int argc, char *argv[])
{
int i,j;
char a[1000],b[1000];
while(scanf("%s %s",a,b)!=EOF)
{
int len1,len2;
len1=strlen(a);
len2=strlen(b);
for(i=0;i<=len1;i++)
{
dp[0][i]=0;
}
for(i=0;i<=len2;i++)
{
dp[i][0]=0;
}
for(i=1;i<=len1;i++)
{
for(j=1;j<=len2;j++)
{
if(a[i-1]==b[j-1])
{
dp[i][j]=dp[i-1][j-1]+1;
}
else
{
if(dp[i][j-1]>dp[i-1][j])
{
dp[i][j]=dp[i][j-1];
}
else
{
dp[i][j]=dp[i-1][j];
}
}
}
}
printf("%d\n",dp[len1][len2]);
}
return 0;
}
相关文章推荐
- hdu 1513 && 1159 poj Palindrome (dp, 滚动数组, LCS)
- hdu 1159 dp lcs nlogn解法
- hdu 1159 经典dp最长公共子序列
- hdu1159(dp)最长公共子序列
- HDU 1159 Common Subsequence (求两个串的最长公共子序列 dp)
- 【DP复习4—LCS】HDU1159——Common Subsequence
- hdu1159 dp(最长公共子序列)
- 一些DP经典问题:HDU(hdoj) 2126,1176,2546,1159
- HDU-1159 Common Subsequence (线性dp 最长公共子串)
- hdu 1159 common sequence (最长公共子序列 dp)
- hdu 1159 Common Subsequence(DP最长公共子序列)
- hdu 1421 1159 1087 1160 5366 1257 light OJ 1110 uva 562 简单dp
- hdu 1159(DP+字符串最长公共序列)
- hdu 1159 Common Subsequence(DP最长公共子序列)
- HDU 1159 dp(lcs)
- HDU-1159(DP_最长公共子序列)
- HDU 1159 Common Subsequence 公共子序列 DP 水题重温
- HDU 1159 Common Subsequence(最长公共子序列)dp
- hdu 1159 Common Subsequence (dp)
- hdu 1159Common Subsequence(dp 最大不连续的子序列)