#include<iostream>
#include<vector>
#include<algorithm>
#include<tuple>
#include<queue>
#include "soccer.h"
using namespace std;
const int MAX_N=2e3+3;
int a[MAX_N][MAX_N];
int p[MAX_N][MAX_N];
int n;
bool allempty(int x1,int y1,int x2,int y2)
{
    int x11=min(x1,x2),x22=max(x1,x2);
    int y11=min(y1,y2),y22=max(y1,y2);
    x1=x11+1;y1=y11+1;x2=x22+1;y2=y22+1;
    if(p[x2][y2]-p[x1-1][y2]-p[x2][y1-1]+p[x1-1][y1-1]==(x2-x1+1)*(y2-y1+1))return 1;
    return 0;
}
bool reacheable(int x1,int y1,int x2,int y2)
{
    if(allempty(x1,y1,x2,y1) && allempty(x2,y1,x2,y2))return 1;
    if(allempty(x1,y1,x1,y2) && allempty(x1,y2,x2,y2))return 1;
    return 0;
}
bool checkslow()
{
    vector<pair<int,int>>cells;
    for(int i=0;i<n;i++)
    {
        for(int j=0;j<n;j++)
        {
            if(a[i][j]==0)cells.push_back({i,j});
        }
    }
    for(int i=0;i<cells.size();i++)
    {
        for(int j=i+1;j<cells.size();j++)
        {
            if(!reacheable(cells[i].first,cells[i].second,cells[j].first,cells[j].second))return 0;
        }
    }
    return 1;
}
vector<pair<int,int>>intervals;
bool inside(int i,int j)
{
    if(intervals[j].first<=intervals[i].first && intervals[j].second>=intervals[i].second)return 1;
    return 0;
}
bool check()
{
    intervals.clear();
    int hasprev=0,haslast=0;
    for(int i=0;i<n;i++)
    {
        int f=-1,s=-2;
        for(int j=0;j<n;j++)
        {
            if(a[i][j]==0)
            {
                if(f==-1)f=j;
                s=j;
            }
        }
        for(int j=f;j<=s;j++)
        {
            if(a[i][j])return 0;
        }
        int hasnow=(f!=-1 ? 1 : 0);
        if(hasnow)
        {
            intervals.push_back({f,s});
            if(haslast==0 && hasprev)return 0;
        }
        haslast=hasnow;
        hasprev=max(hasprev,hasnow);
    }
    for(int i=1;i<intervals.size();i++)
    {
        if(inside(i-1,i))continue;
        for(int j=i;j<intervals.size();j++)
        {
            if(inside(j,j-1))
            {
                continue;
            }
            return 0;
        }
        break;
    }
    for(int i=0;i<intervals.size();i++)intervals[i].second*=-1;
    sort(intervals.begin(),intervals.end());
     for(int i=0;i<intervals.size();i++)intervals[i].second*=-1;
    for(int i=1;i<intervals.size();i++)
    {
        if(inside(i,i-1))continue;
        return 0;
    }
    return 1;
}
int biggest_stadium(int N, std::vector<std::vector<int>> F)
{
    n=N;
    int empsz=0;
    for(int i=0;i<n;i++)
    {
        for(int j=0;j<n;j++)
        {
            a[i][j]=F[i][j];
            if(a[i][j]==0)empsz++;
        }
    }
    for(int i=1;i<=n;i++)
    {
        for(int j=1;j<=n;j++)
        {
            p[i][j]=(a[i-1][j-1]==0)+p[i-1][j]+p[i][j-1]-p[i-1][j-1];
        }
    }
    /*if(checkslow()!=check())
    {
        for(int i=0;i<n;i++)
        {
            for(int j=0;j<n;j++)
            {
                cout<<a[i][j]<<" ";
            }
            cout<<"\n";
        }
        return 1;
    }
    return 0;*/
    if(check())return empsz;
    return -1;
}
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