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CountInversions.java
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100 lines (79 loc) · 1.91 KB
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//求数组中的所有逆序对
//基于归并排序
public class CountInversions{
public int process(int[] arr,int left,int right){
if(left == right) return 0;
int mid = left + (right - left)/2;
return
process(arr,left,mid)+
process(arr,mid+1,right)+
merge(arr,left,mid,right);
}
public int merge(int[] arr,int left,int mid,int right){
int[] help = new int[right - left +1];
int helpi = 0;
int p1 = left;
int p2 = mid+1;
int count = 0;
while(p1 <= mid && p2 <=right){
if(arr[p1] > arr[p2] ){
// int start = p2;
// while(start++ <= right){
// //System.out.print("["+arr[p1]+","+arr[start++]+"]");
// count++;
// }
count += right - p2 +1;
}
help[helpi++] = arr[p1] > arr[p2] ? arr[p1++] : arr[p2++];
}
while(p1<=mid){
help[helpi++] = arr[p1++];
}
while(p2 <= right){
help[helpi++] = arr[p2++];
}
for (int i=0; i<help.length;i++ ) {
arr[left+i] = help[i];
}
return count;
}
public int test(int[] arr){
int count =0;
for (int i=0; i<arr.length;i++ ) {
for (int j=i+1; j<arr.length;j++ ) {
if(arr[i] > arr[j]){
//System.out.print("["+arr[i]+","+arr[j]+"]");
count++;
}
}
}
return count;
}
public Boolean isTrue(){
int count = 9999;
int max = 50;
for (int i=0; i<count; i++) {
CountInversions ci=new CountInversions();
int[] arr =new int[max];
for (int j=0;j<max;j++) {
arr[j] = (int)(Math.random()*9999);
}
int c = ci.test(arr);
int c1 =ci.process(arr,0,arr.length-1);
if(c!=c1) return false;
}
return true;
}
public static void main(String[] args){
CountInversions ci=new CountInversions();
int[] arr={1,9,2,8,5,70,6,39,2,9,5};
System.out.println("result = "+ci.isTrue());
// ci.test(arr);
// System.out.println();
// ci.process(arr,0,arr.length-1);
// System.out.println();
// for (int i=0; i<arr.length; i++) {
// System.out.print(arr[i]+",");
// }
}
}