Final answer:
The given array declarations contain syntax errors. The correct declarations should be 'int[] counts;' for an uninitialized integer array and 'boolean[] occupied = new boolean[5000];' for a boolean array initialized with a size of 5000.
Step-by-step explanation:
The array declarations provided have some syntax errors according to Java language conventions. Let's correct each one:
- The declaration []int counts; is incorrect because the square brackets should come after the type. The correct declaration is int[] counts;.
- For the declaration boolean[5000] occupied;, the size of the array cannot be specified in the declaration without creating the array. This declaration should be broken into two parts: type declaration and array creation. The correct form is: boolean[] occupied = new boolean[5000];.
Remember that in Java, the array size is only specified when you are creating the array, not in the declaration. And the square brackets should follow the data type or the variable name but never precede the data type.