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 W_i (1 ≤ W_i ≤ 400), a 'desirability' factor D_i (1 ≤ D_i ≤ 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: W_i and D_i

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 61 42 63 122 7

Sample Output

23 01背包：  直接套模板

#include 
       
        #include 
        
         using namespace std;int main(){    int w[35000],v[35000],f[35000];    int n,m,i,j;    cin>>n>>m;    for(i=0;i
         
          >w[i]>>v[i];    for(i=0;i
          
           =w[i];j--)            f[j]=max(f[j],f[j-w[i]]+v[i]);    }    cout << f[m] << endl;    return 0;}