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 "fish.h"
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define all(a) (a).begin(), (a).end()
#define ll long long
template<typename T>
int len(T &a){
return a.size();
}
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long max_weights(int n, int m, std::vector<int> x, std::vector<int> y,
std::vector<int> w) {
vector<map<int, ll>> s(n);
vector<map<int, ll>> pref(n);
for(int i = 0; i < m; i ++) s[x[i]][y[i] + 1] = w[i];
pref = s;
for(int i = 0; i < n; i ++){
s[i][0] = 0;
if(i) for(auto [a, b] : s[i - 1]) s[i][a] = max(s[i][a], 0ll);
if(i + 1 < n) for(auto [a, b] : s[i + 1]) s[i][a] = max(s[i][a], 0ll);
ll cur = 0;
for(auto &[_, ss] : pref[i]){
cur += ss;
ss = cur;
}
}
map<tuple<int,int,int>, ll> memo;
auto calc = [&](auto &calc, int st, int i, int j)->ll{
if(st == 1){
if(i < j){
return pref[st - 1][j] - pref[st - 1][i];
}
return pref[st][i] - pref[st][j];
}
if(memo.count({st, i, j})) return memo[{st, i, j}];
if(i >= j){
ll mx = 0;
for(auto [k, val] : s[st - 2]){
mx = max(mx, calc(calc, st - 1, k, i));
}
return memo[{st, i, j}] = mx + pref[st][i] - pref[st][j];
}
ll res = 0;
ll sum = pref[st - 1][j] - pref[st - 1][i];
for(auto [k, val] : s[st - 2]){
if(k <= i){
res = max(res, calc(calc, st - 1, k, i) + sum);
}else if(k < j){
res = max(res, calc(calc, st - 1, k, i) + pref[st - 1][j] - pref[st - 1][k]);
}else res = max(res, calc(calc, st - 1, k, i));
}
return memo[{st, i, j}] = res;
};
ll ans = 0;
for(auto [i, _] : s[n - 2]){
for(auto [j, __] : s[n - 1]){
ans = max(ans, calc(calc, n - 1, i, j));
}
}
return ans;
}
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