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Codeforces-solutions/Educational Codeforces Round 188 (Rated for Div. 2)/D. Alternating Path.cpp
2026-03-23 17:02:28 -03:00

180 lines
3.4 KiB
C++

/* Problem URL: https://codeforces.com/contest/2204/problem/D */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 1
void solve()
{
int n, m;
cin >> n >> m;
vvi graph(n);
while (m--) {
int a, b;
cin >> a >> b;
a--, b--;
graph[a].push_back(b);
graph[b].push_back(a);
}
vi dis(n, oo);
function<pair<int, bool>(int)> bfs = [&](int i) -> pair<int, bool> {
dis[i] = 0;
queue<int> q;
q.push(i);
bool pos = true;
int sz = 1;
while (!q.empty()) {
auto i = q.front();
q.pop();
repv(j, graph[i]) {
if (dis[j] > dis[i] + 1) {
dis[j] = dis[i] + 1;
q.push(j);
sz++;
continue;
}
if ((dis[j] & 1) == (dis[i] & 1)) {
pos = false;
}
}
}
return {sz, pos};
};
V<bool> vis(n);
int ans = 0;
rep(i, n) {
if (dis[i] != oo) {
continue;
}
auto [c, p] = bfs(i);
if (!p) {
continue;
}
array<int, 2> co = {0, 0};
function<void(int, int)> dfs = [&](int i, int g) {
co[g]++;
vis[i] = true;
repv(j, graph[i]) {
if (vis[j]) {
continue;
}
dfs(j, g^1);
}
};
dfs(i, 0);
ans += max(co[0], co[1]);
}
cout << ans << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}