This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// vaziat meshki-ghermeze !
#include <bits/stdc++.h>
#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'
using namespace std;
typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;
const ll Mod = 1000000007LL;
const int N = 2e5 + 10;
const ll Inf = 2242545357980376863LL;
const ll Log = 30;
vector<int> G[N], H[N];
int n, m;
void Add_Edge(int u, int v){
G[u].pb(v);
H[v].pb(u);
}
int ps[N];
int Solve(int l, int r, int dif){
memset(ps, 0, sizeof ps);
multiset<int> ms;
int res = 0;
for(int i = l; i < r - 1; i++){
for(auto x : G[i]){
if(x >= r) continue;
ps[i] ++;
ps[x] --;
ms.insert(x);
}
ps[i] += ps[i - 1];
while(ps[i] > dif){
int fr = *ms.rbegin();
ms.erase(ms.find(fr));
ps[i] -= 2;
ps[fr] += 2;
res ++;
}
}
return res + dif;
}
int Calc(int i, int dif){
if(i > n)
i -= n;
return Solve(i, i + n, dif);
}
int df[N];
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> m;
int a, b, c;
for(int i = 0; i < m; i++){
cin >> a >> b >> c;
assert(c == 1);
if(a > b) swap(a, b);
df[a] ++;
df[b] --;
Add_Edge(a, b);
Add_Edge(b, n + a);
Add_Edge(n + a, n + b);
}
for(int i = 1; i <= n; i++) df[i] += df[i - 1];
int id_mx = max_element(df + 1, df + n) - df;
id_mx ++;
int ans = min(Calc(id_mx, 0), Calc(id_mx, 1));
for(int i = 1; i <= n; i++) ans = min(ans, Calc(i, 0));
cout << ans << '\n';
return 0;
}
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