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;
typedef long long ll;
#define pb push_back
#define Sz(x) int((x).size())
#define all(x) x.begin(), x.end()
#define fi first
#define se second
#define cl clear
const int maxn = 1e6 + 10;
const int maxa = 2e9 + 5;
const int mod = 1e9 + 7;
const ll inf = 2e18;
const double eps = 1e-9;
int a[maxn], b[maxn], c[maxn], ps[maxn], n, m;
vector <int> vc[maxn];
multiset <int> s;
int cal(int ind){
s.cl();
fill(ps, ps + n, 0);
for (int i = 0; i < n; i ++) vc[i].cl();
for (int i = 0; i < m; i ++) a[i] = (a[i] - ind + n) % n, b[i] = (b[i] - ind + n) % n;
for (int i = 0; i < m; i ++){
int x = min(a[i], b[i]), y = max(a[i], b[i]);
ps[x] ++;
ps[y] --;
vc[x].pb(y);
}
int ans = 0;
for (int i = 0; i < n; i ++){
while (!s.empty() && *s.begin() == i) s.erase(s.begin());
for (int x : vc[i]) s.insert(x);
if(i) ps[i] += ps[i - 1];
while (ps[i] > 0){
int t = *s.rbegin();
s.erase(s.find(t));
ps[i] -= 2;
ps[t] += 2;
ans ++;
}
}
for (int i = 0; i < m; i ++) a[i] = (a[i] + ind) % n, b[i] = (b[i] + ind) % n;
return ans;
}
int main(){
ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
cin >> n >> m;
for (int i = 0; i < m; i ++) cin >> a[i] >> b[i] >> c[i], a[i] --, b[i] --;
int ans = mod;
for (int i = 0; i < n; i ++) ans = min(ans, cal(i));
cout << ans << endl;
return 0;
}
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