package contest200320; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class E2 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(), K = ni(); int[] a = na(n); int[] f = new int[n]; int[] plus = new int[n]; for(int i = 0;i < n;i++){ f[i] = (i+a[i])%n; if(i+a[i] >= n)plus[i]++; } int[][] sn = sparseNext(f); int[][] sr = sparseRound(sn); for(int i = 0;i < n;i++){ int cur = i; long nr = 0; for(int d = 29;d >= 0;d--){ if(K<<~d<0){ nr += sr[d][cur]; cur = sn[d][cur]; } } out.println(nr*n + cur + 1); } } public static int[][] sparseNext(int[] f) { int n = f.length; final int m = 31; // int[][] sf = new int[m][n]; sf[0] = Arrays.copyOf(f, n); for(int i = 1;i < m;i++){ for(int j = 0;j < n;j++){ sf[i][j] = sf[i-1][j] == -1 ? -1 : sf[i-1][sf[i-1][j]]; } } return sf; } public static int[][] sparseRound(int[][] sf) { int n = sf[0].length; final int m = 31; // int[][] sr = new int[m][n]; for(int i = 0;i < n;i++){ if(sf[0][i] <= i){ sr[0][i] = 1; } } for(int i = 1;i < m;i++){ for(int j = 0;j < n;j++){ sr[i][j] = sr[i-1][j] + sr[i-1][sf[i-1][j]]; } } return sr; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new E2().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }