oj.uz

Submission #1072348

# Submission time Handle Problem Language Result Execution time Memory
1072348 2024-08-23T17:17:32 Z dwuy The Kingdom of JOIOI (JOI17_joioi) C++14
100 / 100
 1174 ms 145944 KB 
/**         - dwuy -

　　　　　 ／＞　   フ
　　　　　 | 　_　 _|
　 　　　 ／`ミ _x ノ
　　 　 /　　　 　 |
　　　 /　  ヽ　　 ?
　／￣|　　 |　|　|
　| (￣ヽ＿_ヽ_)_)
　＼二つ

**/
#include <bits/stdc++.h>

#define fastIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(a) freopen(a".inp","r",stdin); freopen(a".out", "w",stdout)
#define fi first
#define se second
#define endl "\n"
#define len(s) (int)((s).size())
#define MASK(k)(1LL<<(k))
#define TASK "test"

using namespace std;

typedef tuple<int, int, int> tpiii;
typedef pair<double, double> pdd;
typedef pair<int, int> pii;
typedef long long ll;

const long long OO = 1e18;
const int MOD = 1e9 + 7;
const int INF = 1e9 + 7;
const int MX = 2005;

int n, m;
int mxvalue, mnvalue;
int a[MX][MX];
bool f[MX][MX];
pii f1[MX][MX];
pii f2[MX][MX];
pii f3[MX][MX];
pii f4[MX][MX];

void nhap(){
    cin >> n >> m;
    cin.ignore();
    for(int i=1; i<=n; i++){
        string s; getline(cin, s); s += ' ';
        for(int j=0, t=1; j<len(s); j++) if(s[j] != ' '){
            a[i][t] = a[i][t]*10 + s[j] - '0';
            if(s[j + 1] == ' ') t++;
        }
    }
}

bool ok(int mid){
    for(int i=0; i<=n+1; i++) f[i][0] = f[i][m+1] = 0;
    /// case 1
    /// X O
    /// O O
    for(int i=1; i<=n; i++){
        for(int j=m; j>=0; j--){
            f[i][j] = f[i][j+1] | ((i == 1 || f[i-1][j]) && f1[i][j].se <= mnvalue + mid && f4[i][j+1].fi >= mxvalue - mid);
        }
    }
    if(f[n][0]) return 1;
    
    /// case 2
    /// O X
    /// O O
    for(int i=1; i<=n; i++){
        for(int j=1; j<=m+1; j++){
            f[i][j] = f[i][j-1] | ((i == 1 || f[i-1][j]) && f2[i][j].se <= mnvalue + mid && f3[i][j-1].fi >= mxvalue - mid);
        }
    }
    if(f[n][m+1]) return 1;
    
    for(int i=0; i<=n+1; i++) f[i][0] = f[i][m+1] = 0;
    /// case 3
    /// O O
    /// X O
    for(int i=n; i>=1; i--){
        for(int j=m; j>=0; j--){
            f[i][j] = f[i][j+1] | ((i == n || f[i+1][j]) && f3[i][j].se <= mnvalue + mid && f2[i][j+1].fi >= mxvalue - mid);
        }
    }
    if(f[1][0]) return 1;

    /// case 4
    /// O O
    /// O X
    for(int i=n; i>=1; i--){
        for(int j=1; j<=m+1; j++){
            f[i][j] = f[i][j-1] | ((i == n || f[i+1][j]) && f4[i][j].se <= mnvalue + mid && f1[i][j-1].fi >= mxvalue - mid);
        }
    }
    if(f[1][m+1]) return 1;

    return 0;
}

pii combine(pii a, pii b){
    return {min(a.fi, b.fi), max(a.se, b.se)};
}

void solve(){
    for(int i=0; i<=n+1; i++){
        for(int j=0; j<=m+n; j++){
            f1[i][j] = f2[i][j] = f3[i][j] = f4[i][j] = {INF, -INF};
        }
    }
    for(int i=1; i<=n; i++){
        for(int j=1; j<=m; j++){
            f1[i][j] = combine(combine(f1[i-1][j], f1[i][j-1]), {a[i][j], a[i][j]});
        }
        for(int j=m; j>=1; j--){
            f2[i][j] = combine(combine(f2[i-1][j], f2[i][j+1]), {a[i][j], a[i][j]});
        }
    }
    for(int i=n; i>=1; i--){
        for(int j=1; j<=m; j++){
            f3[i][j] = combine(combine(f3[i+1][j], f3[i][j-1]), {a[i][j], a[i][j]});
        }
        for(int j=m; j>=1; j--){
            f4[i][j] = combine(combine(f4[i+1][j], f4[i][j+1]), {a[i][j], a[i][j]});
        }
    }
    
    mnvalue = f1[n][m].first;
    mxvalue = f1[n][m].second;

    int res = -1;
    for(int lo=1, hi=1e9; lo<=hi;){
        int mid = (lo + hi)>>1;
        if(ok(mid)) res = mid, hi = mid - 1;
        else lo = mid + 1;
    }

    cout << res;
}

int32_t main(){
    fastIO;
    //file(TASK);

    nhap();
    solve();

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 0 ms 2652 KB Output is correct
4 Correct 0 ms 2652 KB Output is correct
5 Correct 0 ms 2652 KB Output is correct
6 Correct 0 ms 2652 KB Output is correct
7 Correct 0 ms 2652 KB Output is correct
8 Correct 0 ms 2652 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2652 KB Output is correct
11 Correct 1 ms 2648 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 0 ms 2652 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 0 ms 2652 KB Output is correct
4 Correct 0 ms 2652 KB Output is correct
5 Correct 0 ms 2652 KB Output is correct
6 Correct 0 ms 2652 KB Output is correct
7 Correct 0 ms 2652 KB Output is correct
8 Correct 0 ms 2652 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2652 KB Output is correct
11 Correct 1 ms 2648 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 0 ms 2652 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 6 ms 8796 KB Output is correct
17 Correct 9 ms 8796 KB Output is correct
18 Correct 10 ms 10584 KB Output is correct
19 Correct 11 ms 8796 KB Output is correct
20 Correct 10 ms 7864 KB Output is correct
21 Correct 12 ms 8796 KB Output is correct
22 Correct 13 ms 10552 KB Output is correct
23 Correct 11 ms 8796 KB Output is correct
24 Correct 9 ms 8028 KB Output is correct
25 Correct 10 ms 8792 KB Output is correct
26 Correct 12 ms 8796 KB Output is correct
27 Correct 11 ms 8796 KB Output is correct
28 Correct 13 ms 8988 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 0 ms 2652 KB Output is correct
4 Correct 0 ms 2652 KB Output is correct
5 Correct 0 ms 2652 KB Output is correct
6 Correct 0 ms 2652 KB Output is correct
7 Correct 0 ms 2652 KB Output is correct
8 Correct 0 ms 2652 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 0 ms 2652 KB Output is correct
11 Correct 1 ms 2648 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 0 ms 2652 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 6 ms 8796 KB Output is correct
17 Correct 9 ms 8796 KB Output is correct
18 Correct 10 ms 10584 KB Output is correct
19 Correct 11 ms 8796 KB Output is correct
20 Correct 10 ms 7864 KB Output is correct
21 Correct 12 ms 8796 KB Output is correct
22 Correct 13 ms 10552 KB Output is correct
23 Correct 11 ms 8796 KB Output is correct
24 Correct 9 ms 8028 KB Output is correct
25 Correct 10 ms 8792 KB Output is correct
26 Correct 12 ms 8796 KB Output is correct
27 Correct 11 ms 8796 KB Output is correct
28 Correct 13 ms 8988 KB Output is correct
29 Correct 737 ms 139160 KB Output is correct
30 Correct 784 ms 145924 KB Output is correct
31 Correct 771 ms 145580 KB Output is correct
32 Correct 824 ms 145944 KB Output is correct
33 Correct 597 ms 128632 KB Output is correct
34 Correct 858 ms 145808 KB Output is correct
35 Correct 1077 ms 145748 KB Output is correct
36 Correct 771 ms 145236 KB Output is correct
37 Correct 1174 ms 145936 KB Output is correct