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"
#ifdef NYAOWO
#include "grader.cpp"
#endif
#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;
inline void chmax(int &x, int val) { x = max(x, val); }
const int MAXN = 3000;
const int INF = 1e15;
int n, m;
int useful[MAXN + 10][MAXN + 10];
int pre[MAXN + 10][MAXN + 10];
int dp1[MAXN + 10][MAXN + 10];
int dp2[MAXN + 10][MAXN + 10];
int sum(int x, int u, int d) {
if(u < d) return 0;
int res = pre[x][u];
if(d) res -= pre[x][d - 1];
return res;
}
long long max_weights(i32 N, i32 M, vector<i32> X, vector<i32> Y,
vector<i32> W) {
n = N;
m = M;
memset(pre, 0, sizeof(pre));
For(i, 0, m - 1) {
pre[X[i] + 1][Y[i] + 1] += W[i];
useful[X[i] + 0][Y[i] + 1] = 1;
useful[X[i] + 1][Y[i] + 1] = 1;
useful[X[i] + 2][Y[i] + 1] = 1;
useful[X[i] + 3][Y[i] + 1] = 1;
useful[X[i] + 1][Y[i] + 0] = 1;
useful[X[i] + 1][Y[i] + 2] = 1;
useful[X[i] + 2][Y[i] + 0] = 1;
useful[X[i] + 2][Y[i] + 2] = 1;
}
For(i, 1, n) For(j, 1, n) {
pre[i][j] += pre[i][j - 1];
}
For(i, 0, n + 1) For(j, 0, n + 1) {
dp1[i][j] = dp2[i][j] = -INF;
}
dp2[0][0] = 0;
For(i, 1, n + 1) {
int mx = -INF;
For(j, 1, n) {
chmax(mx, dp1[i - 1][j] - pre[i - 1][j]);
chmax(mx, dp2[i - 1][j] - pre[i - 1][j]);
if(useful[i][j]) {
dp1[i][j] = dp2[i - 1][0] + sum(i - 1, j, 0);
chmax(dp1[i][j], mx + pre[i - 1][j]);
} else {
dp1[i][j] = dp1[i - 1][j];
}
}
mx = -INF;
Forr(j, n, 0) {
chmax(mx, dp2[i - 1][j]);
if(useful[i][j] || j == 0) {
dp2[i][j] = dp1[i - 1][j] + sum(i, j, 0);
chmax(dp2[i][j], mx + pre[i][j] - pre[i - 1][j]);
} else {
dp2[i][j] = dp2[i - 1][j] + pre[i][j] - pre[i - 1][j];
}
}
}
// Forr(j, n, 0) For(i, 1, n + 1) {
// cerr << dp1[i][j] << " \n"[i == n + 1];
// }
// cerr << "\n";
// Forr(j, n, 0) For(i, 1, n + 1) {
// cerr << dp2[i][j] << " \n"[i == n + 1];
// }
int ans = 0;
For(j, 0, n) chmax(ans, dp2[n + 1][j]);
return ans;
}
/*
5 4
0 2 5
1 1 2
4 4 1
3 3 3
8
*/
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