➤ If-else Statement in C
➤ Programs on if-else
➤ Switch Case in C
➤ Switch case Programs
➤ Conditional Operator
➤ While loop in C
➤ Do-while loop in C
➤ While vs do-while
➤ For loop in C
➤ Break keyword in C
➤ Continue keyword in C
➤ Break vs Exit in C
➤ Goto keyword in C
☕️ Flow Control Programs
➤ Largest in 3 Numbers
➤ Find Grade of student
➤ Find the absolute value
➤ Vowel or Consonant
➤ Leap Year Program
➤ Simple calculator in C
➤ Check Odd or Even
➤ Roots of Quadratic Equation
➤ Find Reverse of Number
➤ Factors of a number in C
➤ Generate Multiplication table
➤ Find Power of a Number
➤ Find GCD and LCM
➤ Find factorial of Number
➤ Count Number of Digits
➤ Sum of digits in Number
➤ Sum of N Natural Numbers
➤ Sum of Squares of Natural No.
➤ Find Sum of Odd Numbers
➤ Find the Sum of Series
➤ Find Fibonacci series in C
➤ Sum of the Fibonacci series
➤ Sum until enters +ve numbers
➤ Sum of max 10 no. & Skip -ve
☕️ C Conversion Programs
➤ Celsius to Fahrenheit
➤ Fahrenheit to Celsius
➤ Decimal ↔ Binary
➤ Decimal ↔ Octal
➤ Octal ↔ Binary in C
☕️ Number Programs in C
➤ Prime Number in C
➤ Strong Number in C
➤ Krishnamurthy Number
➤ Neon Number in C
➤ Palindrome number
➤ Perfect Number in C
➤ Armstrong Number
☕️ Pattern Programs in C
➤ Pattern programs in C
➤ Printing pattern using loops
➤ Floyd’s triangle Program
➤ Pascal Triangle Program
➤ Pyramid Star Pattern in C
➤ Diamond Pattern Programs
➤ Half Diamond pattern in C
➤ Print Diamond Pattern
➤ Hollow Diamond Pattern
➤ Diamond Pattern of Numbers
Pascal triangle is a triangular array of binomial coefficients. In pascal’s triangle, each number is the sum of the two numbers directly above it. Here we will write a pascal triangle program in the C programming language.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Pascal Triangle Program in C Without Using Array
#include<stdio.h>
int main()
{
int n;
printf("Enter the number of rows: ");
scanf("%d",&n);
for(int row=1; row<=n; row++)
{
int a=1;
for(int i=1; i<=row; i++)
{
printf("%d ",a);
a = a * (row-i)/i;
}
printf("\n");
}
return 0;
}
Output for different test-cases:-
Enter the number of rows: 5 1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Enter the number of rows: 7 1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
At the center of the screen
We can display the pascal triangle at the center of the screen. For this, just add the spaces before displaying every row. Generally, on a computer screen, we can display a maximum of 80 characters horizontally. Half of 80 is 40, so 40th place is the center of the line.
#include<stdio.h>
int main()
{
int n;
printf("Enter the number of rows: ");
scanf("%d",&n);
for(int row=1; row<=n; row++)
{
int a=1;
for(int s=1; s<=40-row; s++)
printf(" ");
for(int i=1; i<=row; i++)
{
printf("%d ",a);
a = a * (row-i)/i;
}
printf("\n");
}
return 0;
}
Output for different test-cases:-
Enter the number of rows: 5
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Enter the number of rows: 7
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Pascal Triangle in C using 2d Array
#include<stdio.h>
int main(void)
{
int n, i, j ;
printf("Enter the number of rows: ");
scanf("%d",&n);
int pascal[n][n];
for(i=0;i<n;++i)
{
for(int s=1; s<=40-i; s++)
printf(" "); //space
for(int j=0;j<=i;++j)
{
if(j==0||j==i) pascal[i][j]=1;
else
pascal[i][j] = pascal[i-1][j-1] + pascal[i-1][j];
printf("%d ",pascal[i][j]);
}
printf("\n");
}
return 0 ;
}
In this program, we took a 2d array of size n, where n is the number of rows entered from the user.
The first inner loop displays the space on the output screen. if you don’t want to display the output at the center of the screen then remove this for a loop.
In the pascal triangle, in every row, the first and last number is 1 and the remaining are the sum of the two numbers directly above it. So, inside the second inner for loop, we write the below condition,
if(j==0||j==i) pascal[i][j]=1;
else pascal[i][j] = pascal[i-1][j-1] + pascal[i-1][j];
Note that in every row the size of the array is n, but in 1st row, the only first element is filled and the remaining have garbage value. Similarly, in the second row, only the first and second elements of the array are filled and remaining to have garbage value. We don’t want to display the garbage value. So, it will be easy for us to display the output at the time of calculation.
Learn more:- The mathematical secrets of Pascal’s triangle
If you enjoyed this post, share it with your friends. Do you want to share more information about the topic discussed above or do you find anything incorrect? Let us know in the comments. Thank you!