题目:在数组中的两个数字,如果前面一个数字大于后面的数字,则这两个数字组成一个逆序对。输入一个数组,求出这个数组中的逆序对的总数P。并将P对1000000007取模的结果输出。 即输出P%1000000007
思路:基于归并排序的思路
public int InversePairs(int [] array) { if(array==null||array.length==0) { return 0; } int[] copy = new int[array.length]; for(int i=0;i<array.length;i++) { copy[i] = array[i]; } int count = InversePairsCore(array,copy,0,array.length-1);//数值过大求余 return count; } private int InversePairsCore(int[] array,int[] copy,int low,int high){ if(low==high) { return 0; } int mid = (low+high)>>1; int leftCount = InversePairsCore(array,copy,low,mid)%1000000007; int rightCount = InversePairsCore(array,copy,mid+1,high)%1000000007; int count = 0; int i=mid; int j=high; int locCopy = high; while(i>=low&&j>mid){ if(array[i]>array[j]) { count += j-mid; copy[locCopy--] = array[i--]; if(count>=1000000007)//数值过大求余 { count%=1000000007; } }else copy[locCopy--]=array[j--]; } for(;i>=low;i--){ copy[locCopy--]=array[i]; } for(;j>mid;j--){ copy[locCopy--]=array[j]; } for(int s=low;s<=high;s++){ array[s] = copy[s]; } return (leftCount+rightCount+count)%1000000007; }