The program below reads two integers n and m from the user. As a function of n and m, give a formula for the total value printed at the end of the program. #include int main() { int n, m; int i, j, total; printf("enter n (NON_NEGATIVE): "); scanf("%d", &n); // assume user enters a valid integer >= 0 printf("enter m (NON_NEGATIVE: "); scanf("%d", &m); // assume user enters a valid integer >=0 total = 0; for(i=0; i0) { total--; j--; } printf("total: %d\n", total); return 0; Onxm+m Ⓒnxm-j (n-1) xm

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Below is the transcription of the provided C program and its explanation:

```c
#include <stdio.h>

int main() {
    int n, m;

    int i, j, total;

    printf("enter n (NON_NEGATIVE): ");
    scanf("%d", &n); // assume user enters a valid integer >= 0

    printf("enter m (NON_NEGATIVE): ");
    scanf("%d", &m); // assume user enters a valid integer >= 0

    total = 0;
    for(i=0; i<n; i++) {
        for(j=0; j<m; j++) {
            total++;
        }
    }

    j = m;
    while(j > 0) {
        total--;
        j--;
    }

    printf("total: %d\n", total);
    return 0;
}
```

### Explanation:

The program takes two non-negative integers, `n` and `m`, from the user and calculates a total based on those inputs.

1. **Initialization:**
   - The program uses the `stdio.h` library for input and output functions.
   - Variables `n`, `m`, `i`, `j`, and `total` are declared as integers.

2. **User Input:**
   - The user is prompted to enter two non-negative integers `n` and `m`.

3. **Nested Loops:**
   - A nested loop structure is used:
     - The outer loop runs `n` times.
     - For each iteration of the outer loop, the inner loop runs `m` times.
     - The `total` variable is incremented in each iteration of the inner loop, resulting in `total = n * m`.

4. **While Loop:**
   - A while loop is used to decrement `total` by `m`. This loop runs `m` times and therefore decreases `total` by `m`.

5. **Output:**
   - Finally, the total is printed, which calculates to `n * m - m`.

6. **Candidate Formulas:**
   - The options provided at the end likely reflect potential formulas for the total:
     - \( n \times m + m \)
     - \( n \)
     - \( n \times m - m \)
     - \( (n - 1) \times m \)

   Based on the code provided, the correct formula for the total is \( n
Transcribed Image Text:Below is the transcription of the provided C program and its explanation: ```c #include <stdio.h> int main() { int n, m; int i, j, total; printf("enter n (NON_NEGATIVE): "); scanf("%d", &n); // assume user enters a valid integer >= 0 printf("enter m (NON_NEGATIVE): "); scanf("%d", &m); // assume user enters a valid integer >= 0 total = 0; for(i=0; i<n; i++) { for(j=0; j<m; j++) { total++; } } j = m; while(j > 0) { total--; j--; } printf("total: %d\n", total); return 0; } ``` ### Explanation: The program takes two non-negative integers, `n` and `m`, from the user and calculates a total based on those inputs. 1. **Initialization:** - The program uses the `stdio.h` library for input and output functions. - Variables `n`, `m`, `i`, `j`, and `total` are declared as integers. 2. **User Input:** - The user is prompted to enter two non-negative integers `n` and `m`. 3. **Nested Loops:** - A nested loop structure is used: - The outer loop runs `n` times. - For each iteration of the outer loop, the inner loop runs `m` times. - The `total` variable is incremented in each iteration of the inner loop, resulting in `total = n * m`. 4. **While Loop:** - A while loop is used to decrement `total` by `m`. This loop runs `m` times and therefore decreases `total` by `m`. 5. **Output:** - Finally, the total is printed, which calculates to `n * m - m`. 6. **Candidate Formulas:** - The options provided at the end likely reflect potential formulas for the total: - \( n \times m + m \) - \( n \) - \( n \times m - m \) - \( (n - 1) \times m \) Based on the code provided, the correct formula for the total is \( n
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