-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathCount inversions
79 lines (62 loc) · 1.88 KB
/
Count inversions
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
//Count inversions
import java.io.*;
import java.util.*;
class Sorting {
public static void main(String[] args) throws Exception {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int t = Integer.parseInt(br.readLine());
for(int g = 0; g < t; g++) {
String[] str = (br.readLine()).trim().split(" ");
int arr[] = new int[str.length];
for(int i = 0; i < str.length; i++) {
arr[i] = Integer.parseInt(str[i]);
}
System.out.println(new Solution().inversionCount(arr));
System.out.println("~");
}
}
}
class Solution {
static int inversionCount(int arr[]) {
return countInv(arr, 0, arr.length - 1);
}
static int countAndMerge(int[] arr, int l, int m, int r) {
int n1 = m - l + 1, n2 = r - m;
int[] left = new int[n1];
int[] right = new int[n2];
for(int i = 0; i < n1; i++) {
left[i] = arr[i + l];
}
for(int j = 0; j < n2; j++) {
right[j] = arr[m + 1 + j];
}
int res = 0;
int i = 0, j = 0, k = l;
while(i < n1 && j < n2) {
if(left[i] <= right[j]) {
arr[k++] = left[i++];
}
else {
arr[k++] = right[j++];
res += (n1 - i);
}
}
while(i < n1) {
arr[k++] = left[i++];
}
while(j < n2) {
arr[k++] = right[j++];
}
return res;
}
static int countInv(int[] arr, int l, int r) {
int res = 0;
if(l < r) {
int m = (r + l) / 2;
res += countInv(arr, l, m);
res += countInv(arr, m + 1, r);
res += countAndMerge(arr, l, m, r);
}
return res;
}
}