oj.uz

Submission #1042880

# Submission time Handle Problem Language Result Execution time Memory
1042880 2024-08-03T13:55:43 Z ZanP Soccer Stadium (IOI23_soccer) C++17
58 / 100
 4500 ms 1541988 KB 
#include "soccer.h"
#include <bits/stdc++.h>
using namespace std;

struct point{
    int i, j;
    point(){}
    point(int i, int j){
        this->i = i; this->j = j;
    }
};
struct rect{
    point ul, dr;
    rect(){}
    rect(point ul, point dr){this->ul = ul, this->dr = dr;}
};
bool operator==(const point & a, const point & b){return a.i == b.i && a.j == b.j;}
bool operator==(const rect & a, const rect & b){return a.ul == b.ul && a.dr == b.dr;}
bool operator!=(const rect & a, const rect & b){return !(a.ul == b.ul && a.dr == b.dr);}
bool operator<(const rect & a, const rect & b){
    int h_a = a.dr.i - a.ul.i + 1, h_b = b.dr.i - b.ul.i + 1;
    if(h_a == h_b){
        if(a.ul.j == b.ul.j){
            return a.ul.i < b.ul.i;
        }
        return a.ul.j < b.ul.j;
    }
    return h_a < h_b;
}

ostream& operator<<(ostream& os, vector<int> & a){
    os << "{ ";
    for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
    os << "}\n";
    return os;
}
ostream& operator<<(ostream& os, vector<vector<int>> & a){
    os << "{ ";
    for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
    os << "}\n";
    return os;
}
ostream& operator<<(ostream& os, point & a){
    os << "(" << a.i << "," << a.j << ")";
    return os;
}

ostream& operator<<(ostream& os, rect & a){
    os << "{" << a.ul << "," << a.dr << "}";
    return os;
}
ostream& operator<<(ostream& os, vector<rect> & a){
    os << "{ ";
    for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
    os << "}\n";
    return os;
}


vector<vector<int>> look_up, look_down, look_right, look_left;
vector<int> lg;
vector<vector<vector<int>>> rmq_up, rmq_down, rmq_left, rmq_right;

int get_rmq_up(int i, int l, int r){
    int k = lg[r - l + 1];
    return min(rmq_up[i][l][k], rmq_up[i][r - (1 << k) + 1][k]);
}

int get_rmq_down(int i, int l, int r){
    int k = lg[r - l + 1];
    return min(rmq_down[i][l][k], rmq_down[i][r - (1 << k) + 1][k]);
}

int get_rmq_right(int i, int l, int r){
    int k = lg[r - l + 1];
    return min(rmq_right[l][i][k], rmq_right[r - (1 << k) + 1][i][k]);
}

int get_rmq_left(int i, int l, int r){
    int k = lg[r - l + 1];
    return min(rmq_left[l][i][k], rmq_left[r - (1 << k) + 1][i][k]);
}

int biggest_stadium(int n, vector<vector<int>> grid)
{
    look_up.resize(n,vector<int>(n));
    look_down.resize(n,vector<int>(n));
    look_right.resize(n,vector<int>(n));
    look_left.resize(n,vector<int>(n));
    for(int j = 0;j<n;j++){
        look_up[0][j] = 1 - grid[0][j];
        look_down[n-1][j] = 1 - grid[n-1][j];
        look_left[j][0] = 1 - grid[j][0];
        look_right[j][n-1] = 1 - grid[j][n-1];
    }

    for(int i = 1; i < n; i++){
        for(int j = 0;j < n; j++){
            look_up[i][j] = (grid[i][j]) ? 0 : 1 + look_up[i-1][j];
            look_down[n-i-1][j] = (grid[n-i-1][j]) ? 0 : 1 + look_down[n-i][j];
            look_left[j][i] = (grid[j][i]) ? 0 : 1 + look_left[j][i-1];
            look_right[j][n-i-1] = (grid[j][n-i-1]) ? 0 : 1 + look_right[j][n-i];
        }
    }

    lg.resize(n+1,0);
    for(int i = 2; i<=n;i++){lg[i] = 1 + lg[i>>1];}

    //cout << look_up << '\n' << look_down << '\n' << look_right << '\n' << look_left << '\n';

    rmq_up.resize(n,vector<vector<int>>(n,vector<int>(lg[n]+1)));
    rmq_down.resize(n,vector<vector<int>>(n,vector<int>(lg[n]+1)));
    rmq_left.resize(n,vector<vector<int>>(n,vector<int>(lg[n]+1)));
    rmq_right.resize(n,vector<vector<int>>(n,vector<int>(lg[n]+1)));
    for(int i = 0;i<n;i++)for(int j = 0;j<n;j++){
        rmq_up[i][j][0] = look_up[i][j];
        rmq_down[i][j][0] = look_down[i][j];
        rmq_right[i][j][0] = look_right[i][j];
        rmq_left[i][j][0] = look_left[i][j];
    }

    for(int k = 1; k <= lg[n]; k++){
        for(int i = 0; i < n; i++){
            for(int j = 0; j + (1 << (k-1)) < n; j++){
                rmq_up[i][j][k] = min(rmq_up[i][j][k-1], rmq_up[i][j + (1 << (k-1))][k-1]);
                rmq_down[i][j][k] = min(rmq_down[i][j][k-1], rmq_down[i][j + (1 << (k-1))][k-1]);
                rmq_right[j][i][k] = min(rmq_right[j][i][k-1], rmq_right[j + (1 << (k-1))][i][k-1]);
                rmq_left[j][i][k] = min(rmq_left[j][i][k-1], rmq_left[j + (1 << (k-1))][i][k-1]);
            }
        }
    }

    map<rect,int> rect_s;

    for(int i = 0;i<n;i++){
        for(int j = 0;j<n;j++){
            if(grid[i][j])continue;
            int l = j - look_left[i][j] + 1, r = j + look_right[i][j] - 1;
            int up = i - get_rmq_up(i,l,r) + 1, down = i + get_rmq_down(i,l,r) - 1;
            rect R = rect(point(up,l), point(down,r));
            //cout << R << " : (" << rect_s.count(R) << ") " << rect_s[R] << '\n';
            rect_s[R] = rect_s.size();

            up = i - look_up[i][j] + 1; down = i + look_down[i][j] - 1;
            l = j - get_rmq_left(j,up,down) + 1; r = j + get_rmq_right(j,up,down) - 1;
            R = rect(point(up,l), point(down, r));
            //cout << R << " : (" << rect_s.count(R) << ") " << rect_s[R] << '\n';
            rect_s[R] = rect_s.size();
        }
    }

    //cout << "rects:\n";
    int xx = 0;
    int m = rect_s.size();
    vector<rect> rects(m);
    for(pair<const rect, int> & p : rect_s){
        p.second = xx;
        rect a = p.first;
        rects[xx] = a;
        xx++;
    }
    //cout << rects << '\n';

    vector<vector<int>> pov(m);
    for(int i = 0;i<m;i++){
        rect a = rects[i];
        if(a.ul.i > 0){
            for(int l = a.ul.j, r = l; l<=a.dr.j;l=r+1){
                int i_i = a.ul.i-1;
                if(grid[i_i][l]){r = l;continue;}
                r = min(l + look_right[i_i][l] - 1, a.dr.j);
                int up = i_i - get_rmq_up(i_i,l,r) + 1, down = i_i + get_rmq_down(i_i,l,r) - 1;
                rect R = rect(point(up,l), point(down,r));
                if(rect_s.count(R))pov[i].push_back(rect_s[R]);
            }
        }
        if(a.dr.i < n-1){
            for(int l = a.ul.j, r = l; l<=a.dr.j;l=r+1){
                int i_i = a.dr.i+1;
                if(grid[i_i][l]){r = l; continue;}
                r = min(l + look_right[i_i][l] - 1, a.dr.j);
                int up = i_i - get_rmq_up(i_i,l,r) + 1, down = i_i + get_rmq_down(i_i,l,r) - 1;
                rect R = rect(point(up,l), point(down,r));
                if(rect_s.count(R))pov[i].push_back(rect_s[R]);
            }
        }
    }
    
    //cout << pov << '\n';

    vector<int> dp(m,0);
    int ans = 0;
    for(int i = 0; i < m; i++)
    {
        rect a = rects[i];
        int S = (a.dr.i - a.ul.i + 1) * (a.dr.j - a.ul.j + 1);
        S = max(S,dp[i]);
        dp[i] = S;
        for(int & b_i : pov[i]){
            rect b = rects[b_i];
            int Sb = (b.dr.i - b.ul.i - a.dr.i + a.ul.i) * (b.dr.j - b.ul.j + 1);
            dp[b_i] = max(Sb + S, dp[b_i]);
        }
        ans = max(ans, dp[i]);
    }
    //cout << dp << '\n';
    return ans;
}

//  int main(){
//      //cout << 
//      biggest_stadium(5, {{0, 0, 0, 1, 0},
//                          {0, 0, 1, 1, 0},
//                          {0, 0, 0, 1, 0},
//                          {1, 0, 0, 0, 0},
//                          {0, 1, 1, 1, 1}}) << '\n';
//  }

Compilation message

soccer.cpp: In function 'std::ostream& operator<<(std::ostream&, std::vector<int>&)':
soccer.cpp:33:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   33 |     for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
      |                    ~^~~~~~~~~
soccer.cpp: In function 'std::ostream& operator<<(std::ostream&, std::vector<std::vector<int> >&)':
soccer.cpp:39:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |     for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
      |                    ~^~~~~~~~~
soccer.cpp: In function 'std::ostream& operator<<(std::ostream&, std::vector<rect>&)':
soccer.cpp:54:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<rect>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |     for(int i = 0; i<a.size(); i++){os << a[i] << ", ";}
      |                    ~^~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 352 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 4 ms 3420 KB ok
8 Correct 134 ms 77452 KB ok
9 Correct 3152 ms 1479368 KB ok

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 344 KB ok
4 Correct 1 ms 344 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 352 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 1 ms 352 KB ok
13 Correct 0 ms 436 KB ok

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 344 KB ok
5 Correct 1 ms 344 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 0 ms 352 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 1 ms 352 KB ok
14 Correct 0 ms 436 KB ok
15 Correct 1 ms 604 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 0 ms 352 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 352 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 352 KB ok
25 Correct 1 ms 352 KB ok
26 Correct 1 ms 348 KB ok

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 344 KB ok
7 Correct 1 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 352 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 352 KB ok
16 Correct 0 ms 436 KB ok
17 Correct 1 ms 604 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 1 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 352 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 352 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 352 KB ok
27 Correct 1 ms 352 KB ok
28 Correct 1 ms 348 KB ok
29 Correct 1 ms 352 KB ok
30 Correct 1 ms 608 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 604 KB ok
33 Correct 1 ms 604 KB ok
34 Correct 0 ms 604 KB ok
35 Correct 0 ms 608 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 604 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 1 ms 604 KB ok
40 Correct 1 ms 604 KB ok
41 Correct 1 ms 604 KB ok

Subtask #5
4.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 344 KB ok
7 Correct 1 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 352 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 352 KB ok
16 Correct 0 ms 436 KB ok
17 Correct 1 ms 604 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 1 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 352 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 352 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 352 KB ok
27 Correct 1 ms 352 KB ok
28 Correct 1 ms 348 KB ok
29 Correct 1 ms 352 KB ok
30 Correct 1 ms 608 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 604 KB ok
33 Correct 1 ms 604 KB ok
34 Correct 0 ms 604 KB ok
35 Correct 0 ms 608 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 604 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 1 ms 604 KB ok
40 Correct 1 ms 604 KB ok
41 Correct 1 ms 604 KB ok
42 Partially correct 228 ms 82004 KB partial
43 Partially correct 253 ms 84308 KB partial
44 Partially correct 173 ms 77964 KB partial
45 Partially correct 156 ms 77836 KB partial
46 Partially correct 215 ms 79740 KB partial
47 Partially correct 137 ms 77396 KB partial
48 Correct 128 ms 77392 KB ok
49 Correct 145 ms 77392 KB ok
50 Correct 157 ms 77904 KB ok
51 Correct 164 ms 79444 KB ok
52 Partially correct 135 ms 77448 KB partial
53 Partially correct 134 ms 77444 KB partial
54 Partially correct 131 ms 77392 KB partial
55 Partially correct 132 ms 77396 KB partial
56 Correct 145 ms 77452 KB ok
57 Correct 141 ms 77396 KB ok
58 Correct 141 ms 77396 KB ok
59 Correct 154 ms 77400 KB ok

Subtask #6
0.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 352 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 4 ms 3420 KB ok
9 Correct 134 ms 77452 KB ok
10 Correct 3152 ms 1479368 KB ok
11 Correct 0 ms 344 KB ok
12 Correct 1 ms 344 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 0 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 0 ms 352 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 1 ms 352 KB ok
21 Correct 0 ms 436 KB ok
22 Correct 1 ms 604 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 1 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 352 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 0 ms 352 KB ok
30 Correct 0 ms 348 KB ok
31 Correct 0 ms 352 KB ok
32 Correct 1 ms 352 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 1 ms 352 KB ok
35 Correct 1 ms 608 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 604 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 0 ms 604 KB ok
40 Correct 0 ms 608 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 1 ms 604 KB ok
43 Correct 1 ms 604 KB ok
44 Correct 1 ms 604 KB ok
45 Correct 1 ms 604 KB ok
46 Correct 1 ms 604 KB ok
47 Partially correct 228 ms 82004 KB partial
48 Partially correct 253 ms 84308 KB partial
49 Partially correct 173 ms 77964 KB partial
50 Partially correct 156 ms 77836 KB partial
51 Partially correct 215 ms 79740 KB partial
52 Partially correct 137 ms 77396 KB partial
53 Correct 128 ms 77392 KB ok
54 Correct 145 ms 77392 KB ok
55 Correct 157 ms 77904 KB ok
56 Correct 164 ms 79444 KB ok
57 Partially correct 135 ms 77448 KB partial
58 Partially correct 134 ms 77444 KB partial
59 Partially correct 131 ms 77392 KB partial
60 Partially correct 132 ms 77396 KB partial
61 Correct 145 ms 77452 KB ok
62 Correct 141 ms 77396 KB ok
63 Correct 141 ms 77396 KB ok
64 Correct 154 ms 77400 KB ok
65 Execution timed out 4587 ms 1541988 KB Time limit exceeded
66 Halted 0 ms 0 KB -