Basic training Triangle
1. Problem Description
Triangle known as Pascal triangle, its first row i + 1 is (a + b) i-expanding coefficient.
It is an important property: triangles each number equal to its two shoulders numbers together.
We are given below of the first four rows Triangle:
1
1 1
1 2 1
1 3 3 1
Given n, the first n rows outputs it.
Input Format
Input contains a number n.
Output format
output of the first n rows Triangle. Each row from the first row are sequentially output number, using one intermediate spaces. Please do not print extra spaces in front.
Input Sample
4
Sample Output
. 1
. 1. 1
. 1 2. 1
. 1. 3. 3. 1
data size and Conventions
1 <= n <= 34.
2. The main code is as follows:
import java.util.Scanner;
public class BASIC_6 {
/**
* @param args
*/
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
int n=sc.nextInt();
int[][] array=new int[n][n];
for(int i=0;i<n;i++){
for(int j=0;j<=i;j++){
if(i==j||i==0||j==0){
array[i][j]=1;
}
else if(i==1){
array[i][j]=1;
}
else{
array[i][j]=array[i-1][j-1]+array[i-1][j];
}
System.out.print(array[i][j]+" ");
}
System.out.println();
}
}
}