思路:
可以看成归并排序,两两比较之后存入数组并排序,存储该逆序对的数量
实现:
public class Solution {
public int InversePairs(int [] array) {
if(array == null || array.length <= 0) return 0;
int pairsNum = mergeSort( array , 0 , array.length-1 );
return pairsNum;
}
public int mergeSort(int [] array ,int left , int right){
if(left == right ) return 0;
int mid = (left + right) / 2;
int leftNum = mergeSort( array , left , mid );
int rightNum = mergeSort( array , mid+1 , right );
return ( Sort( array , left , mid , right) + leftNum + rightNum ) % 1000000007;
}
public int Sort(int []array , int left , int mid , int right ){
int cur1 = mid;
int cur2 = right;
int cur3 = right - left;
int temp[] = new int[right-left+1];
int pairsnum = 0;
while(cur1 >= left && cur2 >= mid+1 ){
if(array[cur1] > array[cur2] ){
temp[cur3--] = array[cur1--];
pairsnum += (cur2 - mid);
if(pairsnum > 1000000007){
pairsnum %= 1000000007;
}
}
else {
temp[cur3--] = array[cur2--];
}
}
while(cur1 >= left){
temp[cur3--] = array[cur1--];
}
while(cur2 >= mid + 1){
temp[cur3--] = array[cur2--];
}
int i = 0;
while(left <= right){
array[left++] = temp[i++];
}
return pairsnum;
}
}