This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define lli long long int
#define mp make_pair
#define eb emplace_back
#define pb push_back
#define pii pair<int,int>
#define X first
#define Y second
#define all(x) x.begin(), x.end()
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T i, U ...j) {
cout << i << ' ', abc(j...);
}
template <typename T> void printv(T l, T r) {
for (; l != r; ++l)
cout << *l << " \n"[l + 1 == r];
}
#ifdef Doludu
#define test(x...) abc("[" + string(#x) + "]", x)
#define owo freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout)
#else
#define test(x...) void(0)
#define owo ios::sync_with_stdio(false), cin.tie(0)
#endif
int main () {
int n;
cin >> n;
vector <vector <int>> cnt(n, vector <int> (2, -1));
lli ans = 0;
for (int i = 0, x, y; i < n * 2; ++i) {
cin >> x >> y, --x, --y;
if (x < 0) {
if (y <= 0)
ans += -x - y, cnt[0][0]++;
else
ans += -x + y - 1, cnt[0][1]++;
} else if (x >= n) {
if (y <= 0)
ans += x - n + 1 - y, cnt[n - 1][0]++;
else
ans += x - n + 1 + y - 1, cnt[n - 1][1]++;
} else {
if (y <= 0)
ans += -y, cnt[x][0]++;
else
ans += y - 1, cnt[x][1]++;
}
}
vector <int> source[2], sink[2];
for (int i = 0; i < n; ++i) {
int p[2] = {0, 1};
bool matched[2] = {false, false};
for (int j = 0; j < 2; ++j) {
if (cnt[i][j] < 0) {
if (!source[j].empty()) {
matched[j] = true;
}
} else {
for (int k = 0; k < cnt[i][j]; ++k) {
if (!sink[j].empty()) {
matched[j] = true;
}
}
}
}
if (matched[1] && !matched[0])
swap(p[0], p[1]);
for (int j : p) {
if (cnt[i][j] < 0) {
if (!source[j].empty()) {
ans += i - source[j].back(); source[j].pop_back();
} else if (!source[j ^ 1].empty()) {
ans += i - source[j ^ 1].back() + 1; source[j ^ 1].pop_back();
} else {
sink[j].pb(i);
}
} else {
for (int k = 0; k < cnt[i][j]; ++k) {
if (!sink[j].empty()) {
ans += i - sink[j].back(); sink[j].pop_back();
} else if (!sink[j ^ 1].empty()) {
ans += i - sink[j ^ 1].back() + 1; sink[j ^ 1].pop_back();
} else {
source[j].pb(i);
}
}
}
}
}
cout << ans << endl;
}
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