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In this tutorial we are going to learn writing program in C to print pascal triangle.
But before directly moving on writing program first lets know
What is Pascal Triangle?
Pascal Triangle starts with row n = 0 where there is only one entry 1.
And it grows row-wise toward the right by adding the previous and next item of the previous row.
For example:
- The initial number in the first row is 1 (the sum of 0 and 1),
- In second row, addition of 0+1 = 1 and 1+0 = 1. So 1 1 in second row.
- When we move on 3rd row then 0+1 = 1, 1+1=2 and 1+0 = 1. So elements of triangle in 3rd row is 1 2 1.
Following this approach pascal triangle grows.
C Program to print Pascal’s Triangle
#include<stdio.h>
#include<conio.h>
void main() {
int n, temp=1,i,j,k;
printf("Enter number of rows: ");
scanf("%d", &n);
for (i=0; i<n; i++) {
for (k=1; k <= n-i; k++)
printf(" ");
for (j=0; j<=i; j++) {
if (j==0 || i==0)
temp = 1;
else
temp=temp*(i-j+1)/j;
printf("%2d", temp);
}
printf("\n");
}
getch();
}Output
Enter number of rows: 5
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1