**Title: Understanding Time Complexity in Algorithms****Give the time complexity of the following method:**```javavoid method1(int n) { for (int i = n; i >= 1; i--) { for (int j = n; j >= 1; j -= i) { System.out.println("*"); } }}```**Determine the Time Complexity Symbol:**- Write Theta, O, or Omega for the symbol.- Symbol = [Input field for user]**Determine the Function g(n):**- Options for function g(n) include: - $ n^2 $ - $ n \log n $ - $ n^{(5/2)} $- Function = [Input field for user]**Explanation:**The method `method1` involves nested loops. The outer loop runs `n` times, and for each iteration of the outer loop, the inner loop runs a decreasing number of times determined by the decrement `j -= i`. Understanding the time complexity involves analyzing how the total number of operations grows with respect to `n`.

Give the time complexity of the following method. void method1(int n) { } for (int i = n; i >= 1; i--) { } for (int j = n; j >= 1; j -= i) { System.out.println("*"); } Write Theta, O, or Omega for the symbol. Symbol: Write the function g(n), as in: n^2 n lg n n^(5/2) Function =

Give the time complexity of the following method. void method1(int n) { } for (int i = n; i >= 1; i--) { } for (int j = n; j >= 1; j -= i) { System.out.println("*"); } Write Theta, O, or Omega for the symbol. Symbol: Write the function g(n), as in: n^2 n lg n n^(5/2) Function =

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

Problem 1PE

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Question

**Title: Understanding Time Complexity in Algorithms**

**Give the time complexity of the following method:**

```java
void method1(int n) {
for (int i = n; i >= 1; i--) {
for (int j = n; j >= 1; j -= i) {
System.out.println("*");
}
}
}
```

**Determine the Time Complexity Symbol:**

- Write Theta, O, or Omega for the symbol.
- Symbol = [Input field for user]

**Determine the Function g(n):**

- Options for function g(n) include:
- $ n^2 $
- $ n \log n $
- $ n^{(5/2)} $

- Function = [Input field for user]

**Explanation:**

The method `method1` involves nested loops. The outer loop runs `n` times, and for each iteration of the outer loop, the inner loop runs a decreasing number of times determined by the decrement `j -= i`. Understanding the time complexity involves analyzing how the total number of operations grows with respect to `n`.

Expert Solution

Step 1

The code given:-

void method1 (int n) {

for (int i = n; i >= 1; i--) {

for (int j = n; j >= 1; j -= i) {

System.out.println("*");

}

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