史上最简单做法:

import java.util.*;


public class Main{
    public static void main(String[] arg){
        Scanner sc=new Scanner(System.in);
        while(sc.hasNextLine()){
            int N = Integer.parseInt(sc.nextLine());
            int[][] arr = new int[N][N];
            int count = 1;
            for(int i =0;i<N;i++){
                for(int j=i;j>=0;j--){
                    arr[j][i-j] = count;
                    count++;
                }
            }
            for(int i = 0;i<N;i++){
                for(int j=0;j<N;j++){
                    if(arr[i][j]!=0){
                        System.out.print(arr[i][j]+" ");            
                    }
                }
                System.out.println();
            }
         }
     }
}