## BJP3 Exercise 14.19: removeMin

Language/Type: Java Collections Stacks and Queues
Author: Robert Baxter (on 2013/04/01)

Write a method `removeMin` that accepts a `Stack` of integers as a parameter and removes and returns the smallest value from the stack. For example if a variable `s` stores these values:

```bottom [2, 8, 3, 19, 7, 3, 2, 3, 2, 7, 12, -8, 4] top
```

and we make the following call:

```int n = removeMin(s);
```

The method removes and returns `-8`, so `n` will store `-8` after the call and `s` will store the following values:

```bottom [2, 8, 3, 19, 7, 3, 2, 3, 2, 7, 12, 4] top
```

If the minimum value appears more than once, all occurrences of it should be removed. For example, given the stack above, if we again call `removeMin(s)`, it would return `2` and leave the stack as follows:

```bottom [8, 3, 19, 7, 3, 3, 7, 12, 4] top
```

You may use one queue as auxiliary storage. You may not use any other structures to solve this problem, although you can have as many primitive variables as you like. You may not solve the problem recursively.