Describe what problem occurs in the following code. What modifications should be made to it to eliminate the problem?
```
int[] numbers = {3, 2, 3, 6, 9, 10, 12, 32, 3, 12, 6};
for (int count = 1; count <= numbers.length; count++)
System.out.println(numbers[count]);
```
The for loop fails to print the 0th element of the array, and attempts to print the nonexistent 11th element of the array. As a consequence, an ArrayIndexOutOfBoundsException is thrown. The problem can be eliminated by providing a for loop which initializes count to 0 (rather than 1) and tests if count is less than (rather than less than or equal to) numbers.length.
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