We created two variables to store the number of `hours`

and `minutes`

we worked on a project. We want to convert this amount of time into seconds.

Use these two variables and some **arithmetic operations** to convert and print to the console the number of **seconds** the `hours`

and `minutes`

add up to.

**Example:**

For example, if `hours`

was `1`

and `minutes`

was `2`

, the answer would be `3720`

.

Why? Because one hour and two minutes add up to 3720 seconds.

The core challenge of this problem is to convert a given amount of time, specified in hours and minutes, into seconds. This is a common task in various applications, such as time tracking, scheduling, and logging systems.

Potential pitfalls include incorrect arithmetic operations or misunderstanding the conversion factors between hours, minutes, and seconds.

To solve this problem, we need to follow these steps:

- Convert the given hours into minutes.
- Add the given minutes to the converted minutes from step 1.
- Convert the total minutes into seconds.

Let's break down the steps:

- 1 hour = 60 minutes
- 1 minute = 60 seconds

So, the formula to convert hours and minutes into seconds is:

`total_seconds = (hours * 60 + minutes) * 60`

Here is a step-by-step breakdown of the algorithm:

- Multiply the number of hours by 60 to convert it into minutes.
- Add the given minutes to the result from step 1 to get the total minutes.
- Multiply the total minutes by 60 to convert it into seconds.

```
public class TimeConverter {
public static void main(String[] args) {
// Example input
int hours = 1;
int minutes = 2;
// Convert hours and minutes to seconds
int totalSeconds = convertToSeconds(hours, minutes);
// Print the result
System.out.println("Total seconds: " + totalSeconds);
}
/**
* Converts hours and minutes to seconds.
*
* @param hours the number of hours
* @param minutes the number of minutes
* @return the total number of seconds
*/
public static int convertToSeconds(int hours, int minutes) {
// Convert hours to minutes and add the given minutes
int totalMinutes = hours * 60 + minutes;
// Convert total minutes to seconds
return totalMinutes * 60;
}
}
```

The time complexity of this solution is O(1) because the operations involved (multiplication and addition) take constant time. The space complexity is also O(1) as we are using a fixed amount of extra space.

Consider the following edge cases:

- Both hours and minutes are zero: The output should be zero seconds.
- Only hours are given (minutes are zero): The output should be the number of seconds in the given hours.
- Only minutes are given (hours are zero): The output should be the number of seconds in the given minutes.

Example edge cases:

hours = 0, minutes = 0 -> total_seconds = 0 hours = 1, minutes = 0 -> total_seconds = 3600 hours = 0, minutes = 1 -> total_seconds = 60

To test the solution comprehensively, consider the following test cases:

- Simple cases with small values of hours and minutes.
- Edge cases as discussed above.
- Large values of hours and minutes to ensure the solution handles them correctly.

Example test cases:

convertToSeconds(1, 2) -> 3720 convertToSeconds(0, 0) -> 0 convertToSeconds(1, 0) -> 3600 convertToSeconds(0, 1) -> 60 convertToSeconds(10, 59) -> 39540

When approaching such problems, consider the following tips:

- Break down the problem into smaller, manageable parts.
- Understand the conversion factors and relationships between different units.
- Write down the formula or algorithm before coding.
- Test your solution with a variety of test cases, including edge cases.

To improve problem-solving skills, practice similar problems and study different algorithms and their applications.

In this blog post, we discussed how to convert hours and minutes into seconds using a simple arithmetic approach. We covered the problem definition, approach, algorithm, code implementation, complexity analysis, edge cases, and testing. Understanding and solving such problems is crucial for various applications, and practicing them helps improve problem-solving skills.

For further reading and practice, consider the following resources: