N, K = map(int, input().split())
P = list(map(int, input().split()))
d = [0]*N
for i in range(N):
    d[i] = (P[i]+i) % N
M = 40
step = [[0]*(M+1) for _ in range(N)]
for i in range(N):
    step[i][0] = (d[i], int(d[i]<=i))

for i in range(1, M+1):
    for j in range(N):
        c, cy = step[j][i-1]
        c, cy2 = step[c][i-1]
        step[j][i] = (c, cy+cy2)

for i in range(N):
    tmp = K
    c = i
    cys = 0
    for j in range(M+1):
        if tmp % 2:
            c, cy = step[c][j]
            cys += cy
        tmp //= 2
    print(c+1+cys*N)