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>
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
#include "fish.h"
#define ll long long
#define ar array
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
using namespace std;
const ll INF = 1e18;
template<typename T> bool ckmin(T &a, const T &b ) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b ) { return a < b ? a = b, 1 : 0; }
long long max_weights(int n, int m, std::vector<int> x, std::vector<int> y, std::vector<int> w) {
vector<vector<ar<ll, 2>>> each(n);
for (int i = 0; i < m; i++) {
each[x[i]].push_back({y[i], w[i]});
each[x[i]].push_back({y[i]-1, 0});
}
for (int i = 0; i < n; i++) each[i].push_back({n-1, 0}), each[i].push_back({-1, 0});
for (int i = 0; i < n; i++) {
sort(all(each[i]));
vector<ar<ll, 2>> nw;
ll s = 0;
for (int j = 0; j < sz(each[i]); j++) {
int r = j;
while (r+1 < sz(each[i]) && each[i][r+1][0] == each[i][r][0]) r++;
for (int k = j; k <= r; k++) s += each[i][k][1];
nw.push_back({each[i][j][0], s});
j = r;
}
swap(each[i], nw);
}
vector<ar<ll, 2>> dp;
auto query = [&](int pos, int x) {
return (*prev(upper_bound(all(each[pos]), ar<ll, 2>{x, LLONG_MAX})))[1];
};
vector<vector<ll>> l(n), r(n);
for (int i = 0; i < n; i++) {
l[i].resize(sz(each[i]));
r[i].resize(sz(each[i]));
for (int k = 0; k < sz(each[i]); k++) {
if (i) l[i][k] = query(i - 1, each[i][k][0]);
if (i+1 < n) r[i][k] = query(i + 1, each[i][k][0]);
}
}
for (int i = 0; i < n; i++) {
vector<ar<ll, 2>> dp2;
const int N = sz(each[i]);
dp2.resize(N+1, {-INF, -INF});
if (!i) {
dp2[0][0] = 0, dp2[N][1] = 0;
swap(dp, dp2);
}
else {
vector<ll> dp3(sz(dp)), dp4(sz(dp));
for (int j = 0; j < sz(dp); j++) {
dp3[j] = max(dp[j][0] - (j ? each[i-1][j-1][1] : 0), j ? dp3[j-1] : -INF);
}
for (int j = sz(dp)-1; j >= 0; j--) {
dp4[j] = max(j+1 < sz(dp) ? dp4[j+1] : -INF, dp[j][1] + (j ? r[i-1][j-1] : 0));
}
for (int j = 1; j <= N; j++) {
int ans = 0;
{
int l = 0, r = sz(dp)-1;
while (l <= r) {
int mid = (l+r)/2;
if (each[i][j-1][0] >= (mid ? each[i-1][mid-1][0] : -1)) ans = mid, l = mid+1;
else r = mid-1;
}
}
ckmax(dp2[j][j==N], max(dp3[ans] + l[i][j-1], dp[1][1]));
}
ckmax(dp2[0][0], dp[1][1]);
for (int j = 1; j <= N; j++) {
if (each[i][j-1][0] <= each[i-1][sz(dp)-2][0]) {
int ans = sz(dp)-1;
{
int l = 0, r = sz(dp)-1;
while (l <= r) {
int mid = (l+r)/2;
if (each[i][j-1][0] <= each[i-1][mid-1][0]) ans = mid, r = mid-1;
else l = mid+1;
}
}
ckmax(dp2[j][1], dp4[ans] - each[i][j-1][1]);
}
}
swap(dp, dp2);
}
}
ll ans = -INF;
for (auto [x, y] : dp) ckmax(ans, x), ckmax(ans, y);
return ans;
}
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