Magicsheet logo

Minimum Number of Operations to Convert Time

Easy
25%
Updated 8/1/2025

Asked by 1 Company

Minimum Number of Operations to Convert Time

1. What is this problem about?

In the Minimum Number of Operations to Convert Time interview question, you are given two strings representing time in "HH:MM" format (24-hour clock). You want to convert the current time to the correct time using the minimum number of operations. An operation consists of adding 1, 5, 15, or 60 minutes to the current time.

2. Why is this asked in interviews?

Google uses this problem to evaluate basic string parsing and greedy decision-making. It's very similar to the "Change-Making Problem" where you want to provide a specific amount of change using the fewest coins possible. It tests whether you can handle time-to-minute conversion and then apply a standard greedy loop.

3. Algorithmic pattern used

This problem utilizes the String, Greedy interview pattern.

  1. Parse both "HH:MM" strings into total minutes from the start of the day.
  2. Calculate the difference diff = correct_minutes - current_minutes.
  3. Use a greedy approach to reduce diff to zero by repeatedly subtracting the largest possible increment (60, 15, 5, or 1).

4. Example explanation

Current: "02:30", Correct: "04:35"

  1. Current Minutes: 2*60 + 30 = 150.
  2. Correct Minutes: 4*60 + 35 = 275.
  3. Difference: 275 - 150 = 125.
  • Subtract 60: 125 - 60 = 65 (1 op)
  • Subtract 60: 65 - 60 = 5 (2 ops)
  • Subtract 5: 5 - 5 = 0 (3 ops) Total operations: 3.

5. Common mistakes candidates make

A common pitfall is forgetting that the time is in a 24-hour format and not handling the string slicing correctly (e.g., mixing up the hour and minute indices). Another mistake is trying to solve it using BFS or DP, which is unnecessarily complex since the "coin" values (1, 5, 15, 60) are such that the greedy choice is always optimal.

6. Interview preparation tip

When you encounter a "change-making" style problem, check if the denominations are "canonical." In canonical systems (like most currencies or the 1/5/15/60 time increments), the greedy approach is perfectly optimal and much faster than any other method.

Similar Questions