The program below reads two integers n and m from the user. Assume the user enters non-negative values for both. In terms of n and m, select the correct 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; i

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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**Question 1:**

The program below reads two integers \( n \) and \( m \) from the user. Assume the user enters non-negative values for both. In terms of \( n \) and \( m \), select the correct formula for the total value printed at the end of the program.

```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++;
        }
    }

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

### Multiple Choice Options:

1. \( n + m - 2 \)
2. \( (n-1) \times (m-1) \)
3. \( n \times m \)
4. \( n + m \)

### Explanation:

The program uses nested loops to increment the `total` variable. The outer loop runs \( n \) times, and for each iteration of the outer loop, the inner loop runs \( m \) times. Therefore, the inner block of the loops executes \( n \times m \) times, incrementing `total` by 1 for each execution.

Thus, the correct formula for the total value is \( n \times m \).

The program ends by printing this total value.
Transcribed Image Text:**Question 1:** The program below reads two integers \( n \) and \( m \) from the user. Assume the user enters non-negative values for both. In terms of \( n \) and \( m \), select the correct formula for the total value printed at the end of the program. ```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++; } } printf("total: %d\n", total); return 0; } ``` ### Multiple Choice Options: 1. \( n + m - 2 \) 2. \( (n-1) \times (m-1) \) 3. \( n \times m \) 4. \( n + m \) ### Explanation: The program uses nested loops to increment the `total` variable. The outer loop runs \( n \) times, and for each iteration of the outer loop, the inner loop runs \( m \) times. Therefore, the inner block of the loops executes \( n \times m \) times, incrementing `total` by 1 for each execution. Thus, the correct formula for the total value is \( n \times m \). The program ends by printing this total value.
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