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<iostream>
#include<algorithm>
#include "mountains.h"
using namespace std;
const int MAXN=5000;
long long h[MAXN];
int n,ans,dp[MAXN][MAXN];
bool mark[MAXN][MAXN];
long long cross(int i,int j,int k)
{
return (j-i)*(h[k]-h[i])-(h[j]-h[i])*(k-i);
}
int maximum_deevs(vector<int> y)
{
int n = y.size();
for(int i=0;i<n;i++)
h[i]=y[i];
for(int i=0;i<n;i++)
for(int j=i+1;j<n;j++)
{
mark[i][j]=true;
for(int k=i+1;k<j;k++)
if(cross(i,j,k)>0)
mark[i][j]=false;
}
for(int j=0;j<n;j++)
for(int i=0;i<=j;i++)
{
dp[i][j]=dp[i][j-1];
int res=1,last=i-1;
for(int k=i;k<j;k++)
{
if(mark[k][j]){
res+=dp[last+1][k-1];
last=k;
}
}
res+=dp[last+1][j-1];
dp[i][j]=max(dp[i][j],res);
// cout<<i<<" "<<j<<" "<<res<<" "<<dp[i][j]<<endl;
}
return dp[0][n-1];
}
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