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

P2=P[-1:]+P[:-1]

NEXT=[[0]*N for i in range(31)]
DIS=[[0]*N for i in range(31)]

for i in range(N):
    DIS[0][i]=P2[i]
    NEXT[0][i]=(i+DIS[0][i])%mod

for j in range(1,31):
    for i in range(N):
        DIS[j][i]=DIS[j-1][i]+DIS[j-1][NEXT[j-1][i]]
        NEXT[j][i]=(i+DIS[j][i])%mod

A=[]
for i in range(N):
    NOW=i
    ANS=0
    U=K
    while U:
        b=U.bit_length()-1
        ANS+=DIS[b][NOW]
        NOW=NEXT[b][NOW]
        U-=(1<<b)

    A.append(ANS+i)

for a in A[1:]:
    print(a)
print(A[0]+N)