답안 #1073476

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1073476 2024-08-24T15:11:14 Z HorizonWest 축구 경기장 (IOI23_soccer) C++17
77.5 / 100
3127 ms 940276 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 = 2e6;

#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 344 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 348 KB ok
6 Correct 0 ms 348 KB ok
7 Correct 3 ms 2396 KB ok
8 Correct 67 ms 47412 KB ok
9 Correct 1344 ms 853732 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 1 ms 344 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 0 ms 348 KB ok
8 Correct 0 ms 348 KB ok
9 Correct 0 ms 348 KB ok
10 Correct 1 ms 344 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 344 KB ok
2 Correct 1 ms 348 KB ok
3 Correct 0 ms 348 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 348 KB ok
10 Correct 0 ms 348 KB ok
11 Correct 1 ms 344 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 344 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 1 ms 348 KB ok
22 Correct 1 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 0 ms 348 KB ok
25 Correct 1 ms 348 KB ok
26 Correct 0 ms 348 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB ok
2 Correct 1 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 1 ms 344 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 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 1 ms 344 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 344 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 1 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 1 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 1 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 436 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 1 ms 348 KB ok
36 Correct 1 ms 344 KB ok
37 Correct 1 ms 516 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 0 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 344 KB ok
2 Correct 1 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 1 ms 344 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 348 KB ok
11 Correct 0 ms 348 KB ok
12 Correct 0 ms 348 KB ok
13 Correct 1 ms 344 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 344 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 1 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 1 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 1 ms 348 KB ok
30 Correct 1 ms 604 KB ok
31 Correct 1 ms 436 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 1 ms 348 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 1 ms 348 KB ok
36 Correct 1 ms 344 KB ok
37 Correct 1 ms 516 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 0 ms 348 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 604 KB ok
42 Correct 251 ms 59076 KB ok
43 Correct 190 ms 56768 KB ok
44 Correct 266 ms 65476 KB ok
45 Correct 245 ms 65468 KB ok
46 Correct 257 ms 65344 KB ok
47 Correct 78 ms 46708 KB ok
48 Correct 95 ms 49344 KB ok
49 Correct 90 ms 47764 KB ok
50 Correct 121 ms 58564 KB ok
51 Correct 128 ms 55232 KB ok
52 Correct 64 ms 45008 KB ok
53 Correct 55 ms 43808 KB ok
54 Correct 63 ms 44880 KB ok
55 Correct 78 ms 46284 KB ok
56 Correct 64 ms 45000 KB ok
57 Correct 127 ms 55492 KB ok
58 Correct 126 ms 55492 KB ok
59 Correct 129 ms 55740 KB ok
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB ok
2 Correct 1 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 348 KB ok
7 Correct 0 ms 348 KB ok
8 Correct 3 ms 2396 KB ok
9 Correct 67 ms 47412 KB ok
10 Correct 1344 ms 853732 KB ok
11 Correct 1 ms 344 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 0 ms 348 KB ok
18 Correct 1 ms 344 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 344 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 0 ms 348 KB ok
31 Correct 0 ms 348 KB ok
32 Correct 1 ms 348 KB ok
33 Correct 0 ms 348 KB ok
34 Correct 1 ms 348 KB ok
35 Correct 1 ms 604 KB ok
36 Correct 1 ms 436 KB ok
37 Correct 1 ms 348 KB ok
38 Correct 1 ms 348 KB ok
39 Correct 0 ms 348 KB ok
40 Correct 1 ms 348 KB ok
41 Correct 1 ms 344 KB ok
42 Correct 1 ms 516 KB ok
43 Correct 1 ms 348 KB ok
44 Correct 0 ms 348 KB ok
45 Correct 1 ms 348 KB ok
46 Correct 1 ms 604 KB ok
47 Correct 251 ms 59076 KB ok
48 Correct 190 ms 56768 KB ok
49 Correct 266 ms 65476 KB ok
50 Correct 245 ms 65468 KB ok
51 Correct 257 ms 65344 KB ok
52 Correct 78 ms 46708 KB ok
53 Correct 95 ms 49344 KB ok
54 Correct 90 ms 47764 KB ok
55 Correct 121 ms 58564 KB ok
56 Correct 128 ms 55232 KB ok
57 Correct 64 ms 45008 KB ok
58 Correct 55 ms 43808 KB ok
59 Correct 63 ms 44880 KB ok
60 Correct 78 ms 46284 KB ok
61 Correct 64 ms 45000 KB ok
62 Correct 127 ms 55492 KB ok
63 Correct 126 ms 55492 KB ok
64 Correct 129 ms 55740 KB ok
65 Correct 3053 ms 935588 KB ok
66 Correct 1863 ms 870496 KB ok
67 Correct 1103 ms 828856 KB ok
68 Partially correct 3093 ms 933540 KB partial
69 Partially correct 3127 ms 936920 KB partial
70 Correct 3008 ms 938488 KB ok
71 Correct 2726 ms 932240 KB ok
72 Correct 1653 ms 861152 KB ok
73 Correct 2374 ms 883444 KB ok
74 Correct 2543 ms 907632 KB ok
75 Correct 2311 ms 883724 KB ok
76 Correct 1686 ms 923440 KB ok
77 Correct 1794 ms 922784 KB ok
78 Correct 2404 ms 933024 KB ok
79 Correct 1113 ms 816720 KB ok
80 Correct 1162 ms 816688 KB ok
81 Correct 1223 ms 830392 KB ok
82 Correct 1903 ms 862792 KB ok
83 Correct 1856 ms 854192 KB ok
84 Correct 1076 ms 820364 KB ok
85 Correct 993 ms 811252 KB ok
86 Correct 1121 ms 831388 KB ok
87 Correct 1209 ms 832364 KB ok
88 Correct 1271 ms 835808 KB ok
89 Correct 1702 ms 854560 KB ok
90 Correct 1337 ms 854508 KB ok
91 Correct 1472 ms 854700 KB ok
92 Correct 1228 ms 821864 KB ok
93 Correct 1316 ms 828344 KB ok
94 Correct 1047 ms 813312 KB ok
95 Correct 996 ms 811524 KB ok
96 Correct 999 ms 810684 KB ok
97 Correct 966 ms 810436 KB ok
98 Correct 946 ms 807168 KB ok
99 Correct 2422 ms 928284 KB ok
100 Correct 2231 ms 938588 KB ok
101 Correct 2298 ms 937200 KB ok
102 Correct 2250 ms 936808 KB ok
103 Correct 2153 ms 936356 KB ok
104 Correct 2098 ms 935108 KB ok
105 Correct 2055 ms 935692 KB ok
106 Correct 2222 ms 935524 KB ok
107 Correct 2256 ms 940276 KB ok
108 Correct 2843 ms 920968 KB ok
109 Correct 2974 ms 921796 KB ok