# 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>
int check_stair_case(int n) {
if(n<0) return -1;
if(n==0) return 0;
int rows = 0;
long sum = 0;
while(sum<=n){
sum += rows+1;
rows++;
}
return rows-1;
}
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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