This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("Ofast")
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define vi vector<int>
#define ii pair<int, int>
#define vii vector<ii>
#define tuple2 tuple<int, int>
#define tuple3 tuple<int, int, int>
const int N = 1e5;
int n, m;
vi c[N];
map<int, int> w[N];
map<int, ll> pre[N];
map<int, ll> dp[3][N];
ll preS(int col, int x) {
auto it = pre[col].upper_bound(x);
if (it == pre[col].begin()) return 0;
return (--it)->second;
}
ll mx(int curr, int h1, int state) {
if (curr == -1) return 0;
auto it = dp[state][curr].find(h1);
if (it != dp[state][curr].end()) return it->second;
if (state != 2) dp[state][curr][h1] = mx(curr-1, h1, 2);
else dp[state][curr][h1] = mx(curr-1, 0, 1);
it = dp[state][curr].find(h1);
if (!state) {
if (curr+1 < n) {
for (int h : c[curr+1]) {
h++;
if (h >= h1) break;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si he eliminado alguno de los que he pillado
cnt -= preS(curr, h-1);
it->second = max(it->second, cnt + mx(curr-1, h, 0));
}
}
if (curr-1 >= 0) {
for (int h : c[curr-1]) {
h++;
if (h >= h1) break;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si he eliminado alguno de los que he pillado
cnt -= preS(curr, h-1);
it->second = max(it->second, cnt + mx(curr-1, h, 0));
}
}
}
else if (state == 1) {
if (curr+1 < n) {
for (int h : c[curr+1]) {
h++;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si pillo los de la derecha
if (h > h1 && curr+1 < n) {
cnt += preS(curr+1, h-1) - preS(curr+1, h1-1);
}
// ver si he eliminado alguno de los que he pillado
cnt -= preS(curr, min(h, h1)-1);
if (h <= h1) it->second = max(it->second, cnt + mx(curr-1, h, 0));
else it->second = max(it->second, cnt + mx(curr-1, h, 1));
}
}
if (curr-1 >= 0) {
for (int h : c[curr-1]) {
h++;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si pillo los de la derecha
if (h > h1 && curr+1 < n) {
cnt += preS(curr+1, h-1) - preS(curr+1, h1-1);
}
// ver si he eliminado alguno de los que he pillado
cnt -= preS(curr, min(h, h1)-1);
if (h <= h1) it->second = max(it->second, cnt + mx(curr-1, h, 0));
else it->second = max(it->second, cnt + mx(curr-1, h, 1));
}
}
}
else {
if (curr+1 < n) {
for (int h : c[curr+1]) {
h++;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si pillo los de la derecha
if (h > h1 && curr+1 < n) {
cnt += preS(curr+1, h-1) - preS(curr+1, h1-1);
}
it->second = max(it->second, cnt + mx(curr-1, h, 1));
}
}
if (curr-1 >= 0) {
for (int h : c[curr-1]) {
h++;
ll cnt = 0;
// ver si pillo los de la izquierda
if (curr-1 >= 0) {
cnt += preS(curr-1, h-1);
}
// ver si pillo los de la derecha
if (h > h1 && curr+1 < n) {
cnt += preS(curr+1, h-1) - preS(curr+1, h1-1);
}
it->second = max(it->second, cnt + mx(curr-1, h, 1));
}
}
}
return it->second;
}
long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,
std::vector<int> W) {
n = N;
m = M;
for (int i = 0; i < m; i++) {
c[X[i]].push_back(Y[i]);
w[X[i]][Y[i]] = W[i];
}
for (int i = 0; i < n; i++) {
sort(c[i].begin(), c[i].end());
ll sum = 0;
for (int &h : c[i]) {
sum += w[i][h];
pre[i][h] = sum;
}
pre[i][-1] = 0;
}
return mx(n-1, 0, 1);
}
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