Greatest Common Increasing Subsequence
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 2484 Accepted Submission(s): 762
Problem Description
This is a problem from ZOJ 2432.To make it easyer,you just need output the length of the subsequence.
Input
Each sequence is described with M - its length (1 <= M <= 500) and M integer numbers Ai (-2^31 <= Ai < 2^31) - the sequence itself.
Output
output print L - the length of the greatest common increasing subsequence of both sequences.
Sample Input
1 5 1 4 2 5 -12 4 -12 1 2 4
Sample Output
2
Source
#include<stdio.h> #include<string.h> int a[510],b[510]; int dp[510]; int main() { int t,m,n,i,j; scanf("%d",&t); while(t--) { scanf("%d",&n); for(i=0;i<n;i++) scanf("%d",&a[i]); scanf("%d",&m); for(i=0;i<m;i++) scanf("%d",&b[i]); memset(dp,0,sizeof(dp)); int ans=0,pos; for(i=0;i<n;i++) { pos=0; for(j=0;j<m;j++) { /// 遍历b的同时,找出 j 之前最大的公共子序列所在点 pos,并且要使 b[pos] < a[i] /// 这样,当下一句 b[j]==a[i] 时,就可以直接得到 j 点的最大公共子序列了:dp[pos]+1 if(b[j]<a[i]&&dp[j]+1>dp[pos]) pos=j; if(b[j]==a[i]&&dp[j]<dp[pos]+1) dp[j]=dp[pos]+1; } } for(i=0;i<m;i++) { if(ans<dp[i]) ans=dp[i]; } printf("%d\n",ans); if(t) printf("\n"); } return 0; }