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 "mountains.h"
#include <vector>
#define x first
#define y second
const int NMAX = 2000;
int N;
int dp[NMAX + 5][NMAX + 5];
int vf;
std::pair <int, int> st[NMAX + 5];
bool ccw(std::pair <int, int> A, std::pair <int, int> B, std::pair <int, int> C) {
return 1LL * (B.y - A.y) * (C.x - A.x) <= 1LL * (C.y - A.y) * (B.x - A.x);
}
void Push(std::pair <int, int> dot) {
while(vf > 1 && ccw(st[vf - 1], st[vf], dot))
vf--;
st[++vf] = dot;
}
int maximum_deevs(std::vector<int> y) {
N = (int)y.size();
for(int i = N; i >= 1; i--) {
dp[i][i] = 1;
vf = 0;
Push({i - 1, y[i - 1]});
for(int j = i + 1; j <= N; j++) {
if(vf >= 1) {
int t = st[vf].first + 1;
dp[i][j] = std::max(dp[i][j], dp[i][t - 1] + dp[t + 1][j]);
}
if(vf > 1) {
int s = st[vf - 1].first + 1;
dp[i][j] = std::max(dp[i][j], dp[i][s - 1] + dp[s + 1][j]);
}
Push({j - 1, y[j - 1]});
}
}
return dp[1][N];
}
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