#include <bits/stdc++.h>
using namespace std::literals::string_literals;
using i64 = std::int_fast64_t;
using std::cout;
using std::cerr;
using std::endl;
using std::cin;

template<typename T>
std::vector<T> make_v(size_t a){return std::vector<T>(a);}

template<typename T,typename... Ts>
auto make_v(size_t a,Ts... ts){
  return std::vector<decltype(make_v<T>(ts...))>(a,make_v<T>(ts...));
}

int main() {
	int n, k; scanf("%d%d", &n, &k); std::vector<int> p(n);
	for(int i = 0; i < n; i++) scanf("%d", &p[i]);

	auto dp = make_v<int>(32, n);
	auto ep = make_v<i64>(32, n);
	for(int i = 0; i < n; i++) dp[0][i] = (i + p[i]) % n;
	for(int i = 0; i < n; i++) ep[0][i] = p[i];
	for(int i = 0; i < 31; i++) {
		for(int j = 0; j < n; j++) {
			dp[i + 1][j] = dp[i][dp[i][j]];
			ep[i + 1][j] = ep[i][j] + ep[i][dp[i][j]];
		}
	}

	for(int i = 0; i < n; i++) {
		i64 ans = i + 1;
		int now = i;
		for(int j = 31; j >= 0; j--) {
			if(!(k >> j & 1)) continue;
			ans += ep[j][now];
			now = dp[j][now];
		}

		printf("%lld\n", ans);
	}
	return 0;
}