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 pair<int, int> pii;
const int MAXN = 2e5;
const int MAXM = 1e5;
int n, m;
int overall[MAXN];
int arr[MAXN];
int req_red[MAXN];
int r_end[MAXN];
vector<int> ranges[MAXN]; // right endpoint, index
int num_req(int target) {
	for (int i = 0; i < n; i++) req_red[i] = max(0, arr[i]-target);
	fill(r_end, r_end+n, 0);
	priority_queue<int> pq;
	int sub = 0;
	int num = 0;
	for (int i: ranges[0]) pq.push(i);
	for (int i = 0; i < n; i++) {
		if (sub < req_red[i]) {
			int r = pq.top();
			pq.pop();
			r_end[r]++;
			sub++;
			i--;
			num++;
			continue;
		}
		for (int v: ranges[i+1]) pq.push(v);
		sub -= r_end[i];
	}
	return num;
}
int solve() {
	int mn = -1;
	int mx = 0;
	for (int i = 0; i < n; i++) mx = max(mx, arr[i]);
	mx++;
	// int b = -1;
	// for (int i = mn+1; i < mx; i++) {
	// 	int v = 2*i+num_req(i);
	// 	if (b == -1 || v < b) b = v;
	// }
	// return b;
	while (mx > mn+2) {
		int cur = (mn+mx)/2;
		int v1 = num_req(cur);
		int v2 = num_req(cur+1);
		if (v1 >= v2+2) mn = cur;
		else mx = cur+1;
	}
	return 2*(mn+1)+num_req(mn+1);
}
int main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n >> m;
	n--;
	for (int i = 0; i < m; i++) {
		int a, b, c; cin >> a >> b >> c;
		a--; b--;
		if (a > b) swap(a, b);
		ranges[a].push_back(b-1);
		overall[a]++;
		overall[b]--;
	}
	for (int i = 0; i < n; i++) {
		overall[i+1] += overall[i];
	}
	for (int i = 0; i < n; i++) {
		arr[i] = (overall[i]+1)/2;
	}
	int ans = solve();
	for (int i = 0; i < n; i++) arr[i] = overall[i]/2;
	ans = min(ans, solve()+1);
	cout << ans << "\n";
}
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