N, K = map(int, input().split())
P = list(map(int, input().split()))

SZ = 32
doubling = [[0] * (N+1) for _ in range(SZ)]
dp = [[0] * (N+1) for _ in range(SZ)]
for i in range(N):
    doubling[0][i] = (i + P[i]) % N
    dp[0][i] = (i + P[i]) // N

for k in range(SZ-1):
    for i in range(N):
        doubling[k+1][i] = doubling[k][doubling[k][i]]
        dp[k+1][i] = dp[k][i] + dp[k][doubling[k][i]]

for i in range(N):
    s = 0
    cur = i
    for j in range(SZ):
        if K & (1 << j):
            s += dp[j][cur]
            cur = doubling[j][cur]

    # print(f'{cur=} {s=}')
    print(s * N + cur + 1)