답안 #1072624

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1072624 2024-08-24T00:27:19 Z HorizonWest 축구 경기장 (IOI23_soccer) C++17
70 / 100
4500 ms 1005476 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 = 4e6;

#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 rnd(){
  	return abs(int(rand() ^ (rand() << 3LL) ^ (rand() << 6LL)));
}

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)), 
        T(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--){
            T[i][j] = last;
            if(f[i][j] == 1) {      
                if(j != n-1 && last == j+1){
                    T[i][j] = T[i][j+1];
                }else T[i][j] = j;
                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)));

    unordered_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;
            } else k = T[i-1][k];
        }

        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;
            } else k = T[j+1][k];
        }

        return dp[x] = (dp[x] + mx);
    };      
    
    int ans = 0; 
  	
  	srand(time(NULL));
  	vector <pair<int, pair<int, int>>> fx; 
  
    for(int i = 0; i < n; i++)
    {
        for(int j = 0; j < n; j++)
        {
            if(f[i][j] == 1) continue; 
            int l = A[i][j]+1, r = B[i][j]-1;

            int ni = sp2[i].query(j, j);
            int nj = sp1[i].query(j, j);

            int d = r-l+1, h = (nj - ni + 1);
            fx.push_back({ max(d, h), { i, j }});
        }
    }
  	
    sort(fx.begin(), fx.end());

  	while (fx.size() > 0)
    {
        pair<int, int> u = fx.back().second; fx.pop_back();
        int i = u.first, j = u.second; 
        
        if(f[i][j] == 1) continue; 
        
        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) {
            break;
        }
    }

    int mod = fx.size(); cnt = 0;
    

    for(int i = 0; i < (int) fx.size(); i++){
        int x = rnd() % mod;
        swap(fx[i], fx[x]);
    }

    while (fx.size() > 0)
    {
        pair<int, int> u = fx.back().second; fx.pop_back();
        int i = u.first, j = u.second; 
        
        if(f[i][j] == 1) continue; 
        
        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) {
            break;
        }
    }

    return ans;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
# 결과 실행 시간 메모리 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 1 ms 348 KB ok
5 Correct 0 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 4 ms 2396 KB ok
8 Correct 65 ms 45772 KB ok
9 Correct 1191 ms 849072 KB ok
# 결과 실행 시간 메모리 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 1 ms 348 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 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 0 ms 348 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
2 Correct 1 ms 344 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 1 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 1 ms 348 KB ok
10 Correct 0 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
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 348 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 348 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 1 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 1 ms 348 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
2 Correct 1 ms 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 1 ms 348 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 348 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 1 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 1 ms 344 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 1 ms 348 KB ok
29 Correct 1 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 344 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 1 ms 348 KB ok
36 Correct 1 ms 348 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 1 ms 348 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
2 Correct 1 ms 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 1 ms 348 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 348 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 1 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 1 ms 344 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 1 ms 348 KB ok
29 Correct 1 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 604 KB ok
32 Correct 1 ms 344 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 1 ms 348 KB ok
36 Correct 1 ms 348 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 1 ms 348 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 270 ms 58672 KB ok
43 Correct 186 ms 56164 KB ok
44 Correct 309 ms 64712 KB ok
45 Correct 260 ms 64956 KB ok
46 Correct 297 ms 64704 KB ok
47 Correct 93 ms 46272 KB ok
48 Correct 91 ms 48764 KB ok
49 Correct 93 ms 48320 KB ok
50 Correct 131 ms 57280 KB ok
51 Correct 129 ms 54568 KB ok
52 Correct 66 ms 44496 KB ok
53 Correct 51 ms 43288 KB ok
54 Correct 62 ms 44376 KB ok
55 Correct 82 ms 46028 KB ok
56 Correct 65 ms 44492 KB ok
57 Correct 141 ms 55236 KB ok
58 Correct 133 ms 55232 KB ok
59 Correct 132 ms 55236 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
2 Correct 1 ms 344 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 0 ms 348 KB ok
5 Correct 1 ms 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 4 ms 2396 KB ok
9 Correct 65 ms 45772 KB ok
10 Correct 1191 ms 849072 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 1 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 1 ms 348 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 348 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 1 ms 344 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 1 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 604 KB ok
37 Correct 1 ms 344 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 1 ms 348 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 348 KB ok
42 Correct 1 ms 348 KB ok
43 Correct 1 ms 348 KB ok
44 Correct 1 ms 348 KB ok
45 Correct 1 ms 348 KB ok
46 Correct 1 ms 604 KB ok
47 Correct 270 ms 58672 KB ok
48 Correct 186 ms 56164 KB ok
49 Correct 309 ms 64712 KB ok
50 Correct 260 ms 64956 KB ok
51 Correct 297 ms 64704 KB ok
52 Correct 93 ms 46272 KB ok
53 Correct 91 ms 48764 KB ok
54 Correct 93 ms 48320 KB ok
55 Correct 131 ms 57280 KB ok
56 Correct 129 ms 54568 KB ok
57 Correct 66 ms 44496 KB ok
58 Correct 51 ms 43288 KB ok
59 Correct 62 ms 44376 KB ok
60 Correct 82 ms 46028 KB ok
61 Correct 65 ms 44492 KB ok
62 Correct 141 ms 55236 KB ok
63 Correct 133 ms 55232 KB ok
64 Correct 132 ms 55236 KB ok
65 Execution timed out 4572 ms 1005476 KB Time limit exceeded
66 Halted 0 ms 0 KB -