Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u

Description

Bessie has gone to the mall's jewelry store and spies a charm bracelet. Of course, she'd like to fill it with the best charms possible from the N (1 ≤ N ≤ 3,402) available charms. Each charm i in the supplied list has a weight Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 100), and can be used at most once. Bessie can only support a charm bracelet whose weight is no more than M (1 ≤ M ≤ 12,880).

Given that weight limit as a constraint and a list of the charms with their weights and desirability rating, deduce the maximum possible sum of ratings.

Input

* Line 1: Two space-separated integers: N and M
* Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: Wi and Di

Output

* Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints

Sample Input

4 6
1 4
2 6
3 12
2 7

Sample Output

23
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xiong_tao 's source code for D
Memory: KB Time: MS
Language: G++ Result: Accepted #include<cstdio>
#include<string.h>
using namespace std;
int dp[],w[],d[];
int n,m;
int main()
{
int i,j;
while(scanf("%d%d",&n,&m)!=EOF)
{
for(i=;i<n;i++)
scanf("%d%d",&w[i],&d[i]);
memset(dp,,sizeof(dp));
for(i=;i<n;i++)
for(j=m;j>=;j--)
if(j>=w[i])
dp[j]=dp[j]>dp[j-w[i]]+d[i]?dp[j]:dp[j-w[i]]+d[i];
printf("%d\n",dp[m]);
}
return ;
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