This is Java code to count inversions in an array.
private void findInversions(int begin, int end, Integer count) {
System.out.println("begin: " + begin + ", end: " + end + ", and count is " + count);
if (end - begin < 1)
return;
int middle = (begin + end) / 2;
findInversions(begin, middle, count);
System.out.println("begin: " + begin + ", end: " + end + ", here count is " + count);
findInversions(middle + 1, end, count);
mergeAndCount(begin, middle, end, count);
System.out.println("begin: " + begin + ", end: " + end + ", count now is: " + count);
}
private void mergeAndCount(int begin, int middle, int end, Integer count) {
int[] result = new int[end - begin + 1];
int aptr = begin;
int bptr = middle + 1;
for (int i = 0; i < result.length; i++) {
if (aptr <= middle && bptr <= end) {
if (numbers[aptr] < numbers[bptr]) {
result[i] = numbers[aptr];
aptr++;
}
else { // numbers[aptr] > numbers[bptr]
// (a[aptr], b[bptr]) is an inversion here
count++;
System.out.println("Found: (" + numbers[aptr] + "," + numbers[bptr] + ") " + count);
result[i] = numbers[bptr];
bptr++;
}
}
else if (aptr > middle) {
result[i] = numbers[bptr];
bptr++;
}
else if (bptr > end) {
result[i] = numbers[aptr];
aptr++;
}
}
for (int i = 0; i < result.length; i++) {
numbers[begin + i] = result[i];
}
}
The inversions are printed just fine, but the count
is never correct, because it loses its value after a recursive call returns. I've debugged couple of times and all I saw was that count
became 0 again when a recursion ended, but I couldn't find why. Can anyone explain?