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inversions.cc
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55 lines (50 loc) · 1.23 KB
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#include <iostream>
#include <vector>
#include <string>
using namespace std;
long long split(vector<long long> &numbers, vector<long long> &tmp, long low, long mid, long high) {
long i = low, j = mid + 1, k = 0;
long long count = 0;
while(i <= mid && j <= high) {
if(numbers[i] < numbers[j]) {
tmp[k++] = move(numbers[i++]);
} else {
tmp[k++] = move(numbers[j++]);
count += (mid - i + 1);
}
}
while(i <= mid) {
tmp[k++] = move(numbers[i++]);
}
while(j <= high) {
tmp[k++] = move(numbers[j++]);
}
for(i = low, k = 0; i <= high; i++, k++) {
numbers[i] = move(tmp[k]);
}
return count;
}
long long sort(vector<long long> &numbers, vector<long long> &tmp, long low, long high) {
long long c = 0;
if(high > low) {
long mid = low + ((high-low) >> 1);
c = sort(numbers, tmp, low, mid);
c += sort(numbers, tmp, mid + 1, high);
c += split(numbers, tmp, low, mid, high);
}
return c;
}
long long inversion(vector<long long> &numbers, long low, long high) {
vector<long long> tmp(high - low + 1);
return sort(numbers, tmp, low, high);
}
int main() {
long n;
cin>>n;
vector <long long> numbers(n);
for(long j = 0; j < n; j++) {
cin>>numbers[j];
}
cout<<inversion(numbers, 0, numbers.size() - 1)<<endl;
return 0;
}