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- import java.util.*;
- public class Izziv7 {
- public static List<Integer> pke(int n, int p) {
- List<Integer> ret = new ArrayList<>();
- for(int i = 1; i < p; i++) {
- int prod = 1;
- for(int j = 1; j < n; j++) {
- prod = (prod * i) % p;
- if(prod == 1)
- break;
- }
- if(prod != 1) {
- prod = (prod * i) % p;
- if(prod == 1) {
- ret.add(i);
- }
- }
- }
- return ret;
- }
- public static int[][] vandermonde(int n, int p, int pke) {
- int[][] vander = new int[n][n];
- int prod = 1;
- for(int i = 0; i < n; i++) {
- vander[i][0] = 1;
- for(int j = 1; j < n; j++) {
- vander[i][j] = (vander[i][j-1] * prod) % p;
- }
- prod *= pke;
- }
- return vander;
- }
- public static void main(String[] args) {
- Scanner sc = new Scanner(System.in);
- int n = sc.nextInt();
- int p = 5;
- List<Integer> pke = pke(n, p);
- while(pke.size() == 0) {
- p += 2;
- pke = pke(n, p);
- }
- System.out.format("%d: ", p);
- for(int i = 0; i < pke.size(); i++)
- System.out.format("%d ", pke.get(i));
- System.out.println();
- int[][] vander = vandermonde(n, p, pke.get(0));
- for(int i = 0; i < n; i++){
- for(int j = 0; j < n; j++) {
- System.out.printf("%2d ", vander[i][j]);
- //System.out.format(" %d ", vander[i][j]);
- }
- System.out.println();
- }
- }
- }
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