<s>[INST] This problem is about writing a Java class to track a user's progress in a programming challenge or game. The problem is specified as follows:

Write a class that has a function to record every time the user solves a problem. This function should take an integer n, which is the problem number. Given a solution history, determine how many times a user has solved every problem.

For instance, if a solution history is [1, 2, 2, 3, 4, 2, 5, 3, 3, 4, 4, 4], 
then the times each problem was solved were [1, 3, 3, 4, 1] and [3, 2, 2, 1] respectively.

Here is my code to tackle this problem:
```java
import java.util.HashMap;
import java.util.Map;

public class Solution {
    // This declares an array to hold the number of times a problem was solved
    private int[] timesSolved;

    // This declares a map to hold what specific problem number a user solved.
    private Map<Integer, Integer> history;

    public Solution() {
        this.timesSolved = new int[101]; //Assuming that a user can solve a maximum of 101 problems.
        this.history = new HashMap<>();
    }

    public void solve(int n) {
        if (history.containsKey(n)) {
            timesSolved[history.get(n)]++;
        } else {
            history.put(n, history.size());
            timesSolved[history.get(n)]++;
        }
    }

    public int[] getTimesSolved() {
        return timesSolved;
    }
}
```
In my code, I have created a class named `Solution`. This class has two main components: 
1.  An array named `timesSolved` that holds the number of times a problem was solved.
2.  A `HashMap` named `history` that holds what specific problem number a user solved.

When a problem is solved, the `solve()` function will check if the problem was previously solved by seeing if the problem number is a key in the `history` map. If it is a key in the map, the function will increment the `timesSolved` count for that problem. If it is not a key in the map, the function will add the problem to the map and initialize its `timesSolved` count to one.

When `getTimesSolved()` function is called, it returns the `timesSolved` array which shows the number of times each problem was solved.

However, when I run the provided unit tests for the problem, I noticed that my code had a bug. Specifically, my code failed when it encounters a problem number that is larger than 100. The problem statement doesn't explicitly say if the problem numbers can be greater than 100, but it does give an example that uses numbers that are less than or equal to 100.

How do I modify my code to make it work for problem numbers of any size?[/INST]