from typing import List, Generic, Optional, Callable, TypeVar

S = TypeVar('S')

class FunctionalGraph(Generic[S]):
    def __init__(self, n: int, edge_to: List[S], init_node_val: Optional[List[S]] = None, next_node_val: Optional[List[S]] = None, op: Callable[[int, int], int]= lambda fr, to: to) -> None:
        if init_node_val is None: init_node_val = list(range(n))
        if next_node_val is None: next_node_val = [node_val[edge_to[i]] for i in range(n)]
        self.n = n
        self.edge_to = edge_to
        self.init_node_val = init_node_val
        self.next_node_val = next_node_val
        self.op = op
        self.built = False
       
    def build_doubling(self, bit_max: int = 31):
        self.built = True
        self.bit_max = bit_max
        self.dub = [[-1] * self.n for _ in range(self.bit_max)]
        self.dp = [[-1] * self.n for _ in range(self.bit_max)]
        for i in range(self.n):
            self.dub[0][i] = self.edge_to[i]
            self.dp[0][i] = self.next_node_val[i]
        for i in range(1, self.bit_max):
            for j in range(self.n):
                if self.dub[i - 1][j] != -1:
                    self.dub[i][j] = self.dub[i - 1][self.dub[i - 1][j]]
                    self.dp[i][j] = self.op(self.dp[i - 1][j], self.dp[i - 1][self.dub[i - 1][j]])

    def get(self, v: int, k: int) -> int:
        if not self.built: self.build_doubling()
        for i in range(1, self.bit_max):
            if k & (1 << i):
                v = self.dub[i][v]
        return v

    def prod(self, v: int, k: int) -> S:
        if not self.built: self.build_doubling()
        res = self.init_node_val[v]
        for i in range(self.bit_max):
            if k & (1 << i):
                res = self.op(res, self.dp[i][v])
                v = self.dub[i][v]
        return res

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

edge_to = [(i + P[i]) % N for i in range(N)]
init_node_val = list(range(N))
next_node_val = [i + P[i] for i in range(N)]
op = lambda fr, to: to + fr // N * N

F = FunctionalGraph(N, edge_to, init_node_val, next_node_val, op)

for i in range(N):
    res = F.prod(i, K)
    print(res + 1)