Loop Equivalence Condition

Question

What condition must be met for countOne and countTwo to produce the same outcome?
 
Given two integer variables `a` and `b` both greater than zero, examine the output of the following methods:

```
public static int countOne(int a, int b) {
  int count = 0;
  for (int j = 0; j < a / b; j++) {
    count++;
  }
  return count;
}

public static int countTwo(int a, int b) {
  int count = 0;
  int index = 0;
  while (index < a) {
    count++;
    index += b;
  }
  return count;
}
```
What condition must be met for `countOne` and `countTwo` to produce the same outcome?

Accepted Answer

`a % b` must be zero

Answer

Never, they always produce different results

Answer

Always, regardless of values of `a` and `b`

Answer

`a % b` is not zero but `a / b` rounds up

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