C Program to Display Pascal’s Triangle Using Loops

C Program Pattern

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.

return 0

C Program to Display Pascal’s Triangle Using Loops

 Program Output :- 

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