from collections import deque,defaultdict
N,W=map(int,input().split())
pre=[tuple(map(int,input().split())) for _ in range(N)]
dp=dict()
#dp[i][j]:i番目の品物までで、重さjになる組み合わせの中での勝ちの総和の最大値
#配る
d=deque()
d.append(0)
dp[0]=0
while d:
    n=d.popleft()
    i,j=divmod(n,10**6)
    if i==N:
        break
    now=dp.pop(n)
    if (i+1)*10**6+j not in dp:
        dp[(i+1)*10**6+j]=0
        d.append((i+1)*10**6+j)
    dp[(i+1)*10**6+j]=max(now,dp[(i+1)*10**6+j])
    w,v=pre[i]
    if j+w<=W:
        if (i+1)*10**6+j+w not in dp:
            dp[(i+1)*10**6+j+w]=0
            d.append((i+1)*10**6+j+w)
        dp[(i+1)*10**6+j+w]=max(now+v,dp[(i+1)*10**6+j+w])
ans=[]
for j in range(W+1):
    if j==0:
        ans.append(0)
    else:
        if N*10**6+j not in dp:
            ans.append(ans[-1])
        else:
            ans.append(max(dp[N*10**6+j],ans[-1]))
ans_now=ans[W]
for X in range(1,W+1):
    print(ans_now-(ans[W-X])+1)