#include<iostream>
#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;
int dp[1010][1010];
int main()
{
int i,j,n,m;
string a,b;
while(getline(cin,a))
{
getline(cin,b);
memset(dp,0,sizeof(dp));
n=a.length();
m=b.length();
for(i=1;i<=n;i++)
for(j=1;j<=m;j++)
if(a[i-1]==b[j-1])
dp[i][j]=dp[i-1][j-1]+1;
else
dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
cout<<dp[n][m]<<endl;
}
return 0;
}
UVA - 10405
| Time Limit:3000MS | Memory Limit:Unknown | 64bit IO Format:%lld & %llu |
Description
Problem C: Longest Common Subsequence
Sequence 1: 
Sequence 2:
Given two sequences of characters, print the length of the longest common subsequence of both sequences. For example, the longest common subsequence of the following two sequences:
abcdgh aedfhr
is adh of length 3.
Input consists of pairs of lines. The first line of a pair contains the first string and the second line contains the second string. Each string is on a separate line and consists of at most 1,000 characters
For each subsequent pair of input lines, output a line containing one integer number which satisfies the criteria stated above.
Sample input
a1b2c3d4e zz1yy2xx3ww4vv abcdgh aedfhr abcdefghijklmnopqrstuvwxyz a0b0c0d0e0f0g0h0i0j0k0l0m0n0o0p0q0r0s0t0u0v0w0x0y0z0 abcdefghijklmnzyxwvutsrqpo opqrstuvwxyzabcdefghijklmn
Output for the sample input
4 3 26 14
Problem Setter: Piotr Rudnicki
Source
Volume 5. Dynamic Programming
Root :: Competitive Programming: Increasing the Lower Bound of Programming Contests (Steven & Felix Halim) :: Chapter 6. String Processing ::
String Processing with DP
Root :: Competitive Programming 3: The New Lower Bound of Programming Contests (Steven & Felix Halim) :: String Processing :: String Processing with Dynamic Programming ::
Classic
Root :: Prominent Problemsetters ::
Piotr Rudnicki
Root :: Competitive Programming 2: This increases the lower bound of Programming Contests. Again (Steven & Felix Halim) :: String Processing ::
String Processing with Dynamic Programming - Standard