# C Exercises: Find the total number of full staircase rows that can be formed from given number of dices

## C Programming Mathematics: Exercise-18 with Solution

Write a C program to find the total number of full staircase rows that can be formed from a given number of dice.

staircase rows format :

Example 1:

n = 5

The dices can form the following rows:

As the 3rd row is incomplete the program will return 2 (full staircase rows).

Example 2:

n = 8
The dices can form the following rows:

As the 4th row is incomplete the program will return 3 (full staircase rows).

**Sample Solution:**

**C Code:**

```
#include <stdio.h>
// Function to check the total number of full staircase rows based on a given number of blocks 'n'
int check_stair_case(int n) {
if (n < 0) return -1; // Return -1 if the input 'n' is negative
if (n == 0) return 0; // Return 0 if the input 'n' is zero
int rows = 0; // Variable to keep track of the number of rows
long sum = 0; // Variable to store the sum of blocks in each row
// Loop to calculate the total number of full staircase rows based on 'n'
while (sum <= n) {
sum += rows + 1; // Increment the sum by the number of blocks in the next row
rows++; // Increment the row count
}
return rows - 1; // Return the total number of full staircase rows
}
// Main function to test the check_stair_case function with different values of 'n'
int main(void) {
int n = 5;
printf("Input number %d ", n);
printf("\nTotal number of full staircase rows are %d ", check_stair_case(n));
n = 8;
printf("\nInput number %d ", n);
printf("\nTotal number of full staircase rows are %d ", check_stair_case(n));
return 0;
}
```

Sample Output:

Input number 5 Total number of full staircase rows are 2 Input number 8 Total number of full staircase rows are 3

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