#include <cstdio>

using namespace std;
int n,m,i,s,dp[10001],cst[10001],val,x,j;
int main()
{
    freopen("rucsac.in","r",stdin);
    freopen("rucsac.out","w",stdout);
    scanf("%d%d",&n,&m);
    dp[0]=1;
    for(i=1;i<=n;i++)
    {
        scanf("%d%d",&x,&val);
        for(j=m;j>=x;j--)
            if(dp[j-x])
        {
            if(dp[j]==0)
            {
                if(j-x==0)
                dp[j]=dp[j-x]+val-1;
                else
                    dp[j]=dp[j-x]+val;
            }
            else
                if(dp[j-x]+val>dp[j])
                {
                     if(j-x==0)
                    dp[j]=dp[j-x]+val-1;
                    else
                    dp[j]=dp[j-x]+val;
                }
        }
    }
    printf("%d",dp[m]);
    return 0;
}