Assuming n >=1, indicate the number of iteration(s) for the following loop. int i = 1; while (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
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### Understanding Loop Iterations

**Question:**
Assuming \( n \geq 1 \), indicate the number of iteration(s) for the following loop.

```cpp
int i = 1;
while (i < n) {
    i++;
}
```

**Options:**
1. \( n-1 \) times (selected)
2. \( n \) times
3. 1 time
4. 0 time
5. \( n+1 \) times

**Explanation:**
This problem assesses understanding of loop iterations given a while-loop condition and a starting value of a variable. 

The code initializes an integer `i` to 1 and uses a `while` loop to increment `i` until it is no longer less than `n`. 
- The loop starts with `i = 1`.
- It will increment `i` until `i` is no longer less than `n`.
- Each iteration of the loop increases the value of `i` by 1.

Let's break down the iterations:
1. **First iteration:** `i = 2` (Incremented from 1)
2. **Second iteration:** `i = 3`
3. \[...\]
4. **Last iteration:** `i = n-1` (Loop condition `i < n` becomes false when `i` equals `n`).

Therefore, the loop iterates `(n-1)` times. The selected answer is correct.

**Graph Explanation:**
There are no graphs or diagrams in the image provided.
Transcribed Image Text:### Understanding Loop Iterations **Question:** Assuming \( n \geq 1 \), indicate the number of iteration(s) for the following loop. ```cpp int i = 1; while (i < n) { i++; } ``` **Options:** 1. \( n-1 \) times (selected) 2. \( n \) times 3. 1 time 4. 0 time 5. \( n+1 \) times **Explanation:** This problem assesses understanding of loop iterations given a while-loop condition and a starting value of a variable. The code initializes an integer `i` to 1 and uses a `while` loop to increment `i` until it is no longer less than `n`. - The loop starts with `i = 1`. - It will increment `i` until `i` is no longer less than `n`. - Each iteration of the loop increases the value of `i` by 1. Let's break down the iterations: 1. **First iteration:** `i = 2` (Incremented from 1) 2. **Second iteration:** `i = 3` 3. \[...\] 4. **Last iteration:** `i = n-1` (Loop condition `i < n` becomes false when `i` equals `n`). Therefore, the loop iterates `(n-1)` times. The selected answer is correct. **Graph Explanation:** There are no graphs or diagrams in the image provided.
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