이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
// In the name of Allah
#include <bits/stdc++.h>
#include "fish.h"
using namespace std;
typedef			long long				ll;
typedef			pair<int, int>			pii;
typedef			pair<ll, ll>			pll;
#define			F						first
#define			S						second
#define			all(x)					(x).begin(),(x).end()
#define			len(x)					((ll) (x).size())
#define			Mp						make_pair
#define			pb						push_back
#define			endl					'\n'
#define			sep						' '
const int maxn = 3e5 + 7;
int n, m;
vector<pll> arr[maxn]; vector<ll> dp[2][maxn];
vector<ll> sm[maxn]; ll mx1[maxn], mx2[maxn];
void calx(int i, int T1) {
	ll mx = 0;
	fill(mx1, mx1 + len(arr[i + 1]), 0);
	fill(mx2, mx2 + len(arr[i + 1]), 0);
	for (int j = 0; j < len(arr[i]); j++) {
		ll x = dp[T1][i][j]; mx = max(mx, x);
		int j1 = lower_bound(all(arr[i + 1]), (pll) Mp(arr[i][j].F + 1, -1)) - arr[i + 1].begin();
		int j2 = j1 - 1;
		if (j1 < len(arr[i + 1])) {
			if (T1 == 0) {
				mx1[j1] = max(mx1[j1], x + sm[i][j]);
			}
			
		}
		if (j2 >= 0) {
			int r = lower_bound(all(arr[i + 1]), (pll) Mp(arr[i][j].F, -1)) - arr[i + 1].begin();
			mx2[j2] = max(mx2[j2], x - sm[i + 1][r]);
		}
	}
	
	for (int j = len(arr[i + 1]) - 2; j >= 0; j--) {
		mx2[j] = max(mx2[j], mx2[j + 1]);
	}
	for (int j = 1; j < len(arr[i + 1]); j++) {
		mx1[j] = max(mx1[j], mx1[j - 1]);
	}
	for (int j = 0; j < len(arr[i + 1]); j++) {
		int r = lower_bound(all(arr[i]), (pll) Mp(arr[i + 1][j].F, -1)) - arr[i].begin();
		mx1[j] -= sm[i][r]; mx2[j] += sm[i + 1][j];
	}
	
	for (int j = 0; j < len(arr[i + 1]); j++) {
		for (int T2 : {0, 1}) {
			dp[T2][i + 1][j] = max(dp[T2][i + 1][j], mx);
			dp[T2][i + 1][j] = max(dp[T2][i + 1][j], mx1[j]);
			if (T2 == 1) dp[T2][i + 1][j] = max(dp[T2][i + 1][j], mx2[j]);
		}
	}
}
ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
	n = N; m = M;
	for (int i = 0; i < m; i++) {
		arr[X[i]].pb(Mp(Y[i], W[i]));
	}
	for (int i = 0; i < n; i++) {
		arr[i].pb(Mp(n, 0));
		sort(all(arr[i])); sm[i].resize(len(arr[i]));
		for (int j = len(arr[i]) - 2; j >= 0; j--) sm[i][j] = sm[i][j + 1] + arr[i][j].S;
		
		dp[0][i].resize(len(arr[i])); dp[1][i].resize(len(arr[i]));
	}
	
	ll ans = 0;
	for (int i = 0; i < n; i++) {
		if (i + 1 < n) {
			calx(i, 0); calx(i, 1);
		}
		for (int T : {0, 1}) {
			for (ll x : dp[T][i]) ans = max(ans, x);
		}
	}
	return ans;
}
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