C Program
C Program to Display Pascal’s Triangle Using Loops
Example
#include<stdio.h>
int main()
{
int row,coef=1,space,i,j;
printf("enter the number");
scanf("%d",&row);
for (i=0;i<row;i++)
{
for(space=1;space<=row -i;space++)
printf(" ");
for(j=0;j<=i;j++)
{
if(j==0||i==0)
coef =1;
else
coef=coef * (i-j+1)/j;
printf("%4d",coef);
}
printf("\n");
}
return 0;
}
C Program to Display Pascal’s Triangle Using Loops
Explain Program
Step :1
#include <stdio.h>
- standard input/output library for printf() and scanf() function
Step :2
int main()
- Starting
point of the program.
Step :3
Variable Declarations
int row, coef = 1, space, i, j;
- row: Number of rows to print (user input).
- coef: Coefficient in Pascal’s Triangle, initialized to 1. It holds the binomial coefficient.
- space: Used to align the triangle by printing leading spaces.
- i: Outer loop counter (represents the current row).
- j: Inner loop counter (represents the position in the row).
Step :4
Input Prompt
printf("enter the number");
scanf("%d", &row);
- rows of Pascal's Triangle they want to display
Step :5
Outer Loop: Iterates through rows
for (i = 0; i < row; i++)
- i from 0 to row - 1 (0-based index).
- Each iteration corresponds to one row of Pascal’s Triangle.
Step :6
Printing Leading Spaces
for (space = 1; space <= row - i; space++)
printf("
");
- Aligns the triangle by printing spaces before numbers.
- As i increases, fewer spaces are printed.
Makes the triangle centered
Step :7
Inner Loop: Calculates and Prints Coefficients
for (j = 0; j <= i; j++)
- Print value the current row (row i has i+1 value).
Step :8
if (j == 0 || i == 0)
coef = 1;
else
coef = coef *
(i - j + 1) / j;
- This
is an efficient iterative formula to calculate binomial coefficients
without using factorials:
Step :9
printf("%4d", coef);
- %4d ensures that each number takes at least 4 spaces, which helps align the triangle neatly.
Step :10
printf("\n");
- starts the next one.
C Program to Display Pascal’s Triangle Using Loops
Program Output :-
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