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>
#ifdef LOCAL
#include "Debug.h"
#else
#define debug(...) 42
#endif
using namespace std;
const long long oo = 1LL << 60;
long long max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w)
{
if (n > 3000)
return 0;
for (int i = 0; i < m; i++)
for (int j = i + 1; j < m; j++)
if (make_pair(x[i], y[i]) > make_pair(x[j], y[j]))
{
swap(x[i], x[j]);
swap(y[i], y[j]);
swap(w[i], w[j]);
}
// f: left, g: right
vector<long long> f(m, -oo), g(m, -oo);
long long ans = 0;
for (int i = 0; i < m;)
{
int ii = i + 1;
while (ii < m && x[ii] == x[i])
ii++;
for (int j = i; j < ii; j++)
if (x[j] < n - 1)
{
g[j] = w[j];
for (int jj = 0; jj < i; jj++)
if (x[jj] == x[j] - 1 && y[jj] > y[j]) g[j] = max(g[j], f[jj] + w[j]);
else g[j] = max(g[j], max(f[jj], g[jj]) + w[j]);
for (int jj = i; jj < j; jj++)
g[j] = max(g[j], g[jj] + w[j]);
}
for (int j = ii - 1; j >= i; j--)
if (x[j])
{
f[j] = w[j];
for (int jj = 0; jj < i; jj++)
if (x[jj] + 1 < x[j]) f[j] = max(f[j], max(f[jj], g[jj]) + w[j]);
else if (y[jj] > y[j]) f[j] = max(f[j], f[jj] + w[j]);
for (int jj = j + 1; jj < ii; jj++)
f[j] = max(f[j], f[jj] + w[j]);
}
ans = max({ans, f[i], g[i]});
i = ii;
}
return ans;
}
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