N,W=map(int, input().split())

data=[]
for _ in range(N):
    weight,cost=map(int, input().split())
    data.append((weight,cost))

data.sort(key=lambda x:x[0],reverse=True)


dp=[0]*(W+1)
dp2=[0]*(W+1)

for weight, cost in data:
    ndp=dp[:]
    ndp2=dp2[:]
    for w in range(W+1)[::-1]:
        if dp2[w]!=0:
            ndp[w]=max(dp2[w]+cost,ndp[w])
        if w==weight:

            ndp2[w]=max(ndp2[w],cost)
            ndp[w]=max(ndp[w],cost)

        if w>weight and dp[w-weight]!=0:
            ndp2[w]=max(ndp2[w],dp[w-weight]+cost)
            ndp[w]=max(ndp[w],dp[w-weight]+cost)
    dp=ndp
    dp2=ndp2

print(max(max(dp),max(dp2)))