제출 #636117

#제출 시각아이디문제언어결과실행 시간메모리
636117BruteforcemanThe Kingdom of JOIOI (JOI17_joioi)C++11
60 / 100
4021 ms243096 KiB
    #include<bits/stdc++.h>
     
    using namespace std;
     
    #define debug(x) cout << '[' << #x << " is: " << x << "] " << endl;
    #define inF freopen("6in.txt" , "r" , stdin);
    #define outF freopen("6.txt" , "w" , stdout);
    #define imod(a , n) (a % n + n ) % n
    #define sor(v) sort(v.begin() , v.end());
    #define print(v) for(auto f : v ) cout << f << " " ;
    #define rsor(v) sort(v.rbegin() , v.rend());
    #define rev(v) reverse(v.begin() , v.end());
    #define scan(v)for(auto &it : v)cin >> it ;
    #define ll long long
    #define int ll
    #define logar(x , y) log(x) / log(y)
    #define __sum(n) n * (n + 1) / 2
    #define __lcm(a , b) a / __gcd(a , b) * b
    #define pii pair<int , int >
    #define fastio ios_base::sync_with_stdio(false);cin.tie(0);
    const int N =  2e3 + 5 ;
     
     
    set<int> st ;
    vector<int> v ;
     
    int n , m ;
     
    int arr[N][N];
    int sz ;
    int MN[N][N] , MXY[N][N] ,RMN[N][N] , RMX[N][N];
     
    bool check(int from , int to){
        int mx = 0 , mn = 1e9 , en = n;
    //cout << from << " "   << to << endl ;
        for(int c = 0 ; c < m ; c ++){
     
            int l = 0 , r = en - 1, md ;
            int ans = -1 ;
     
            int cnt = 0 ;
            while(l <= r){
     
                cnt ++ ;
                if(cnt == 15)break;
     
                md = (l + r) / 2;
     
                //debug(MXY[md][c])
     
                if(MN[md][c] >= from && MXY[md][c] <= to){
     
                        ans = md , l = md +1 ;
                }
                else r = md - 1 ;
     
     
              //  if(n + m > 2000)break;
     
            } en = min(en , ans + 1);
     
         //  debug(ans)
     
           // debug(en)
            if(en != n )mx = max(mx ,RMX[en][c]) , mn= min(mn ,RMN[en][c]);
     
     
     
        }
     
     
     
        return mx-mn <= to - from;
     
    }
     
     
    void process(){
     
     
        for(int j = 0 ;j < m;j ++){
     
     
            for(int i = 0 ; i < n ; i ++){
     
     
                MN[i][j]= arr[i][j] , MXY[i][j] = arr[i][j];
     
     
                if(i)MN[i][j] = min(MN[i][j] , MN[i - 1][j]) , MXY[i][j] = max(MXY[i - 1][j] , MXY[i][j]);
     
            }
     
        }
     
       for(int j = 0 ; j < m ; j ++){
     
     
            for(int i = n - 1 ; i >= 0 ; i --){
     
     
                RMN[i][j]= arr[i][j] , RMX[i][j] = arr[i][j];
     
     
                if(i != n - 1)RMN[i][j] = min(RMN[i][j] , RMN[i + 1][j]) , RMX[i][j] = max(RMX[i + 1][j] , RMX[i][j]);
            }
        }
     
     
     
     
     
    }
     
    int arr2[N][N];
    int32_t main()
    {   //inF;
        //inF;outF;
        fastio;
     
        cin >> n >> m ;
     
     
        for(int i = 0 ; i <  n; i ++){
            for(int j = 0 ; j <m; j ++){
                cin >> arr[i][j];
                arr2[i][j] =  arr[i][j];
     
                st.insert(arr[i][j]);
            }
        }
     
        for(auto f : st)v.push_back(f);
     
     
     process();
        sz = v.size();
        ll mnans = v.back() - v[0];
        for(int all = 0 ; all < 2 ; all ++){
     
     
            int  l = 0 , r = 1e9 , md ;
     
     
            int cnt = 0 ;
            while(l <= r){
     
                cnt ++ ;
                if(cnt == 32)break;
     
                md = (l + r) / 2 ;
     
     
                if(check(v[0] , v[0] + md) || check(v.back() - md , v.back()))mnans = min(mnans , md) ,  r = md- 1 ;
                else l = md + 1 ;
     
     
            }
     
     
            for(int c = 0 ; c < m ; c ++){
                for(int r = 0 ; r< n ; r ++){
                    arr[r][c] = arr2[r][m - 1 - c];
                   // debug(arr[r][c])
                }
            }
            process();
        }
     
        cout << mnans ;
     
    }
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