import sys
input=lambda: sys.stdin.readline().rstrip()
n,k=map(int,input().split())
P=[int(i) for i in input().split()]
A=[[0]*n for i in range(31)]
B=[[0]*n for i in range(31)]
A[0]=P
for i in range(n):
  A[1][i]=(A[0][i]+i+1)%n
  if A[0][i]+i+1>n:
    B[1][i]=1
  if A[1][i]==0:
    A[1][i]=n
for i in range(1,30):
  for j in range(n):
    A[i+1][j]=A[i][A[i][j]-1]
    B[i+1][j]=B[i][j]+B[i][A[i][j]-1]
Ans1=[int(i)+1 for i in range(n)]
Ans2=[0]*n
for i in range(30):
  if k&(1<<i):
    for j in range(n):
      Ans2[j]+=B[i+1][Ans1[j]-1]
      Ans1[j]=A[i+1][Ans1[j]-1]
      
Ans=[]
for i in range(n):
  Ans.append(Ans1[i]+Ans2[i]*n)
print(*Ans,sep="\n")