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

Last update on March 20 2025 12:36:10 (UTC/GMT +8 hours)

18. Full Staircase Rows Variants

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 

Flowchart:

For more Practice: Solve these Related Problems:

• Write a C program to calculate the maximum number of full staircase rows that can be formed from a given number of dice using arithmetic series.
• Write a C program to simulate staircase row formation and count complete rows without overshooting.
• Write a C program to determine full staircase rows by subtracting successive row counts until insufficient dice remain.
• Write a C program to output each completed row and the remaining dice count after each row formation.

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