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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 programming to find the total number of full staircase rows that can be formed from given number of dices.

staircase rows format :
C Exercises: staircase rows format.

Example 1:
n = 5
The dices can form the following rows:
C Exercises: staircase format when n = 5.
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:
C Exercises: staircase format when n = 8.
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 

Flowchart:

Flowchart: Find the nth digit of number 1 to n.

C Programming Code Editor:

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C Programming: Tips of the Day

Static variable inside of a function in C

The scope of variable is where the variable name can be seen. Here, x is visible only inside function foo().

The lifetime of a variable is the period over which it exists. If x were defined without the keyword static, the lifetime would be from the entry into foo() to the return from foo(); so it would be re-initialized to 5 on every call.

The keyword static acts to extend the lifetime of a variable to the lifetime of the programme; e.g. initialization occurs once and once only and then the variable retains its value - whatever it has come to be - over all future calls to foo().

Ref : https://bit.ly/3fOq7XP