k, n = list(map(int, input().split()))
A = list(map(int, input().split()))
t = s = 0
x = sum(A)-k
for a in A:
    x -= a-1
    l = t % n
    r = (t+a-1) % n
    a0 = l if l else n
    a1 = n-r
    ans = 1<<60
    if a1 <= x:
        ans = min(ans, a1)
    if a0 <= s:
        ans = min(ans, a0)
    if ans == 1<<60:
        print(-1)
    else:
        print(ans)
    #print(s, x, a0, a1)
    t += a
    s += a-1