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;
const int maxN = 100005;
int n_col = 0;
long long dp[4][3][maxN];
vector<vector<long long>> prefix;
const long long INF = 1e18;
const int UP = 0;
const int DOWN = 1;
const int STOP = 2;
long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,
std::vector<int> W) {
n_col = 4;
for(int i = 0; i < N + 2; i++) {
prefix.push_back(vector<long long>(N + 1, 0));
}
for(int i = 0; i < M; i++) {
prefix[X[i] + 1][Y[i] + 1] = W[i];
}
for(int i = 0; i < n_col; i++) {
for(int j = 0; j < int(prefix[i].size()) - 1; j++) {
prefix[i][j + 1] += prefix[i][j];
}
}
for(int i = 0; i < n_col; i++) {
for(int j = 0; j < 3; j++) {
for(int k = 0; k <= N; k++) {
// printf("%d %d %d %lld\n", i, j, k, dp[i][j][k]);
if (i == 0) {
if (j != UP) {
dp[i][j][k] = -INF;
}
else {
dp[i][j][k] = prefix[0][k];
}
}
if (i == n_col - 1) break;
if (j == UP) {
for(int t = k; t <= N; t++) {
dp[i + 1][UP][t] = max(dp[i + 1][UP][t], dp[i][j][k] + prefix[i + 1][t] - prefix[i + 1][k]);
// printf("DEBUG: %d %d %lld\n",i, t, dp[i + 1][UP][t]);
}
dp[i + 1][STOP][k] = max(dp[i + 1][STOP][k], dp[i][j][k]);
}
else if(j == STOP) {
for(int t = 0; t <= k; t++){
dp[i + 1][DOWN][t] = max(dp[i + 1][DOWN][t], dp[i][j][k] + prefix[i + 1][k] - prefix[i + 1][t]);
}
}
else{
for(int t = 0; t <= k; t++) {
dp[i + 1][DOWN][t] = max(dp[i + 1][DOWN][t], dp[i][j][k] + prefix[i + 1][k] - prefix[i + 1][t]);
}
// down and immediately up
for(int t = 0; t <= N; t++) {
const int height = max(t, k);
// printf("check: %d %d %lld % lld\n",i, t, dp[i][j][k], prefix[i + 1][height]);
dp[i + 1][UP][t] = max(dp[i + 1][UP][t], dp[i][j][k] + prefix[i + 1][height]);
// printf("DEBU2: %d %d %lld\n",i, t, dp[i + 1][UP][t]);
}
}
}
}
}
return dp[n_col - 1][DOWN][0];
}
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