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how many times does the indicated line execute? use summation

how many times does the indicated line execute? use summation

Database System Concepts
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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how many times does the indicated line execute? use summation 

```java boolean Mystery2 (int n, int m) { int total = 0; for (int i = 0; i < 2*n + m; i++) { for (int j = 0; j < i; j++) { total = total + j; // ← THIS LINE HERE! } } if (total > 54369) { return true; } else { return false; } } ``` ### Explanation This Java function, `Mystery2`, takes two integer parameters `n` and `m`. It initializes an integer variable `total` to 0. The function uses a nested loop: 1. The outer loop iterates from `i = 0` to `i < 2*n + m`. 2. The inner loop runs from `j = 0` to `j < i`, adding `j` to `total` during each iteration. The function then checks if `total` is greater than 54369 and returns `true` if so, and `false` otherwise. The comment "THIS LINE HERE!" likely indicates the key or critical operation that influences the algorithm's behavior, highlighting where changes to the `total` occur.
Transcribed Image Text:```java boolean Mystery2 (int n, int m) { int total = 0; for (int i = 0; i < 2*n + m; i++) { for (int j = 0; j < i; j++) { total = total + j; // ← THIS LINE HERE! } } if (total > 54369) { return true; } else { return false; } } ``` ### Explanation This Java function, `Mystery2`, takes two integer parameters `n` and `m`. It initializes an integer variable `total` to 0. The function uses a nested loop: 1. The outer loop iterates from `i = 0` to `i < 2*n + m`. 2. The inner loop runs from `j = 0` to `j < i`, adding `j` to `total` during each iteration. The function then checks if `total` is greater than 54369 and returns `true` if so, and `false` otherwise. The comment "THIS LINE HERE!" likely indicates the key or critical operation that influences the algorithm's behavior, highlighting where changes to the `total` occur.
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