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>
#define all(a) begin(a), end(a)
#define S second
#define F first
using namespace std;
void cc(vector<pair<int, int>> &v) {
vector<int> tmp;
for (auto &[a, b] : v) {
tmp.push_back(a);
tmp.push_back(b);
}
sort(all(tmp));
tmp.erase(unique(all(tmp)), end(tmp));
for (auto &[a, b] : v) {
a = lower_bound(all(tmp), a) - begin(tmp);
b = lower_bound(all(tmp), b) - begin(tmp);
}
}
int const N = 1000005;
bool bio[N];
vector<int> len;
vector<int> nxt;
void findcyc(int ver, int l, int tar) {
bio[ver] = true;
if (ver == tar) {
len.push_back(l);
return;
}
findcyc(nxt[ver], l + 1, tar);
}
void solve() {
int n, m;
cin >> n >> m;
nxt.resize(2 * n);
vector<pair<int, int>> v;
for (int i = 0; i < n; ++i) {
int a, b;
cin >> a >> b;
v.emplace_back(a, b);
v.emplace_back(b, a);
}
sort(all(v));
cc(v);
for (int i = 0; i < 2 * n; ++i) {
nxt[i] = (v[i].S + 1) % (2 * n);
}
for (int i = 0; i < 2 * n; ++i) {
if (!bio[nxt[i]]) {
findcyc(nxt[i], 1, i);
}
}
sort(begin(len) + 1, end(len), greater<>());
int ans = len[0];
int i = 1;
for (; i <= m; ++i) {
if (len[i] > 0) {
ans += len[i] + 2;
} else break;
}
int lft = m + 1 - i;
if (lft % 2 == 1) {
ans++;
lft--;
}
ans += 2 * lft;
cout << ans << '\n';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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