oj.uz

Submission #1072568

# Submission time Handle Problem Language Result Execution time Memory
1072568 2024-08-23T22:28:47 Z HorizonWest Soccer Stadium (IOI23_soccer) C++17
70 / 100
 4500 ms 991004 KB 
#include <iostream>
#include <complex>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <functional>
#include <bitset>
#include <queue>
#include <map>
#include <stack>
#include <cmath>
#include <cstdint>
#include <cassert>
using namespace std;

const int Max = 3001, Inf = 1e9, TLE = 1e8;

#define ll unsigned long long

int lg[Max], cnt; 

struct SPTMIN
{
    vector <vector <int>> spt; 

    int query(int i, int j){
        int x = lg[j-i+1];
        return min(spt[i][x], spt[j - (1LL << x) + 1][x]);
    }

    SPTMIN(vector <int> v)
    {
        int n = v.size();
        spt.assign(n + 1, vector <int> (lg[n] + 1, Inf));

        for(int j = 0; j < lg[n]+1; j++)
        {
            for(int i = 0; i < n; i++){
                if(j == 0){
                    spt[i][j] = v[i];
                    continue;
                }
                spt[i][j] = spt[i][j-1];
                if(i + (1LL << (j-1)) < n) spt[i][j] = min(spt[i][j-1], spt[i + (1LL << (j-1))][j-1]);
            }
        }
    }
};

struct SPTMAX
{
    vector <vector <int>> spt; 

    int query(int i, int j){
        int x = lg[j-i+1];
        return max(spt[i][x], spt[j - (1LL << x) + 1][x]);
    }

    SPTMAX(vector <int> v)
    {
        int n = v.size();
        spt.assign(n + 1, vector <int> (lg[n] + 1, 0));

        for(int j = 0; j < lg[n]+1; j++)
        {
            for(int i = 0; i < n; i++){
                if(j == 0){
                    spt[i][j] = v[i];
                    continue;
                }
                spt[i][j] = spt[i][j-1];
                if(i + (1LL << (j-1)) < n) spt[i][j] = max(spt[i][j-1], spt[i + (1LL << (j-1))][j-1]);
            }
        }
    }
};

int biggest_stadium(int n, std::vector<std::vector<int>> f)
{
    vector <vector<int>> A(n, vector <int> (n, 0)),
        B(n, vector <int> (n, 0)),
        C(n, vector <int> (n, 0)),
        D(n, vector <int> (n, 0)); 

    vector <SPTMIN> sp1;
    vector <SPTMAX> sp2;

    cnt = 0;

    for(int i = 1; i <= n; i++){
        lg[i] = log2(i);
    }

    for(int i = 0; i < n; i++)
    {
        int last = -1; 
        for(int j = 0; j < n; j++){
            if(f[i][j] == 1) last = j; 
            A[i][j] = last;
        }   

        last = n;
        for(int j = n-1; j >= 0; j--){
            if(f[i][j] == 1) last = j; 
            B[i][j] = last;
        }     
    }

    for(int i = 0; i < n; i++)
    {
        int last = -1; 
        for(int j = 0; j < n; j++){
            if(f[j][i] == 1) last = j; 
            C[j][i] = last+1;
        }   

        last = n;
        for(int j = n-1; j >= 0; j--){
            if(f[j][i] == 1) last = j; 
            D[j][i] = last-1;
        }     
    }

    for(int i = 0; i < n; i++)
    {
        sp1.push_back(SPTMIN(D[i]));
        sp2.push_back(SPTMAX(C[i]));
    }
    
    //return 0;

    //vector <vector<vector<int>>> dp1(n + 1, vector <vector<int>> 
    //    (n + 1, vector <int> (n + 1, -1)));

    //vector <vector<vector<int>>> dp2(n + 1, vector <vector<int>> 
    //    (n + 1, vector <int> (n + 1, -1)));

    map <ll, int> dp; 

    auto F = [&](auto F, int i, int j, int a, int b, int c, int d) -> int 
    {   cnt++;

        long long x = ((ll) b) + (((ll) c) << 11LL) + (((ll) d) << 22LL) + (((ll) j) << 33LL) 
                               + (((ll) i) << 44LL) + (((ll) a) << 55LL);
        
        if(dp[x] != 0) return dp[x];
        dp[x] = (b - a + 1); 
        if(i != j) dp[x] += (d - c + 1);

        int mx = 0;

        if(i != 0)
        {
            for(int k = a; k <= b; k++) if(f[i-1][k] == 0)
            {
                int l1 = max(A[i-1][k]+1, a), r1 = min(B[i-1][k]-1, b);
                int l2 = max(c, l1), r2 =  min(d, r1);

                int ni = sp2[i].query(l1, r1), d = abs(ni - i) - 1, t = (r1 - l1 + 1);

                mx = max(mx, F(F, ni, j, l1, r1, l2, r2) - (r2 - l2 + 1) + d * t);

                k = r1;
            }
        }

        if(j != n-1)
        {
            for(int k = c; k <= d; k++) if(f[j+1][k] == 0)
            {
                int l2 = max(A[j+1][k]+1, c), r2 = min(B[j+1][k]-1, d);
                int l1 = max(a, l2), r1 =  min(b, r2);

                int nj = sp1[j].query(l2, r2), d = abs(nj - j) - 1, t = (r2 - l2 + 1);

                mx = max(mx, F(F, i, nj, l1, r1, l2, r2) - (r1 - l1 + 1) + d * t);

                k = r2;
            }
        }

        return dp[x] = (dp[x] + mx);
    };      
    
    int ans = 0; 

    for(int i = 0; i < n; i++)
    {
        for(int j = 0; j < n; j++)
        {
            int l = A[i][j]+1, r = B[i][j]-1;

            ans = max(ans, F(F, i, i, l, r, l, r));

            if(n > 500 && cnt > TLE) {
                //return ans;
            }
        }
    }

    return ans;
}

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 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 1 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 3 ms 2140 KB ok
8 Correct 59 ms 41636 KB ok
9 Correct 1030 ms 784676 KB ok

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 1 ms 600 KB ok
4 Correct 0 ms 344 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 1 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 0 ms 348 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 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 1 ms 600 KB ok
5 Correct 0 ms 344 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 1 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 1 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 0 ms 344 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 0 ms 348 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 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 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 1 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 1 ms 600 KB ok
7 Correct 0 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 1 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 344 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 348 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 600 KB ok
33 Correct 1 ms 604 KB ok
34 Correct 1 ms 436 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 600 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 1 ms 604 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB ok
2 Correct 0 ms 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 1 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 1 ms 600 KB ok
7 Correct 0 ms 344 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 1 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 344 KB ok
18 Correct 0 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 348 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 600 KB ok
33 Correct 1 ms 604 KB ok
34 Correct 1 ms 436 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 600 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 1 ms 604 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 404 ms 64596 KB ok
43 Correct 328 ms 61924 KB ok
44 Correct 481 ms 67924 KB ok
45 Correct 443 ms 65364 KB ok
46 Correct 453 ms 66960 KB ok
47 Correct 74 ms 42576 KB ok
48 Correct 182 ms 54708 KB ok
49 Correct 159 ms 53652 KB ok
50 Correct 294 ms 65104 KB ok
51 Correct 247 ms 56656 KB ok
52 Correct 157 ms 57680 KB ok
53 Correct 134 ms 57168 KB ok
54 Correct 159 ms 57316 KB ok
55 Correct 184 ms 57780 KB ok
56 Correct 126 ms 52052 KB ok
57 Correct 170 ms 53332 KB ok
58 Correct 177 ms 54100 KB ok
59 Correct 190 ms 54788 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 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 1 ms 348 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 3 ms 2140 KB ok
9 Correct 59 ms 41636 KB ok
10 Correct 1030 ms 784676 KB ok
11 Correct 1 ms 600 KB ok
12 Correct 0 ms 344 KB ok
13 Correct 0 ms 348 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 348 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 0 ms 348 KB ok
18 Correct 1 ms 348 KB ok
19 Correct 0 ms 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 0 ms 344 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 0 ms 348 KB ok
26 Correct 0 ms 348 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 0 ms 348 KB ok
30 Correct 0 ms 348 KB ok
31 Correct 0 ms 348 KB ok
32 Correct 0 ms 348 KB ok
33 Correct 0 ms 348 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 600 KB ok
38 Correct 1 ms 604 KB ok
39 Correct 1 ms 436 KB ok
40 Correct 1 ms 604 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 1 ms 600 KB ok
43 Correct 1 ms 604 KB ok
44 Correct 1 ms 604 KB ok
45 Correct 1 ms 348 KB ok
46 Correct 1 ms 604 KB ok
47 Correct 404 ms 64596 KB ok
48 Correct 328 ms 61924 KB ok
49 Correct 481 ms 67924 KB ok
50 Correct 443 ms 65364 KB ok
51 Correct 453 ms 66960 KB ok
52 Correct 74 ms 42576 KB ok
53 Correct 182 ms 54708 KB ok
54 Correct 159 ms 53652 KB ok
55 Correct 294 ms 65104 KB ok
56 Correct 247 ms 56656 KB ok
57 Correct 157 ms 57680 KB ok
58 Correct 134 ms 57168 KB ok
59 Correct 159 ms 57316 KB ok
60 Correct 184 ms 57780 KB ok
61 Correct 126 ms 52052 KB ok
62 Correct 170 ms 53332 KB ok
63 Correct 177 ms 54100 KB ok
64 Correct 190 ms 54788 KB ok
65 Execution timed out 4607 ms 991004 KB Time limit exceeded
66 Halted 0 ms 0 KB -