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답안 #1031022

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1031022 2024-07-22T13:33:30 Z Zicrus Rectangles (IOI19_rect) C++17
37 / 100
 5000 ms 448756 KB 
#include <bits/stdc++.h>
#include "rect.h"
using namespace std;

typedef long long ll;

ll n, m;
ll pow2N, pow2M;
vector<vector<ll>> segN, segM;
 
ll segMaxN(ll low, ll high, ll m) {
    low += pow2N; high += pow2N;
    ll mx = 0;
    while (low <= high) {
        if (low & 1) mx = max(mx, segN[m][low++]);
        if (!(high & 1)) mx = max(mx, segN[m][high--]);
        low /= 2; high /= 2;
    }
    return mx;
}
 
ll segMaxM(ll low, ll high, ll n) {
    low += pow2M; high += pow2M;
    ll mx = 0;
    while (low <= high) {
        if (low & 1) mx = max(mx, segM[n][low++]);
        if (!(high & 1)) mx = max(mx, segM[n][high--]);
        low /= 2; high /= 2;
    }
    return mx;
}

ll count_rectangles(vector<vector<int>> a) {
    if (a.size() <= 2) return 0;
    n = a.size(); m = a[0].size();
    pow2N = 1ll << (ll)ceil(log2(n));
    pow2M = 1ll << (ll)ceil(log2(m));
    vector<int> am = a[1];
    segN = vector<vector<ll>>(m, vector<ll>(2*pow2N));
    segM = vector<vector<ll>>(n, vector<ll>(2*pow2M));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            segN[j][pow2N+i] = a[i][j];
            segM[i][pow2M+j] = a[i][j];
        }
    }
    for (int meta = 0; meta < n; meta++) {
        for (int i = pow2M-1; i > 0; i--) {
            segM[meta][i] = max(segM[meta][2*i], segM[meta][2*i+1]);
        }
    }
    for (int meta = 0; meta < m; meta++) {
        for (int i = pow2N-1; i > 0; i--) {
            segN[meta][i] = max(segN[meta][2*i], segN[meta][2*i+1]);
        }
    }

    unordered_set<ll> s;

    ll res = 0;
    for (int i = 1; i < n-1; i++) {
        for (int j = 1; j < m-1; j++) {
            ll left = j, right = j, top = i, bottom = i;
            ll ref = a[i][j];

            ll low = 0, high = j;
            while (low < high) {
                ll mid = (low + high + 1) / 2;
                if (segMaxM(mid, high, i) <= ref) {
                    high = mid-1;
                }
                else {
                    low = mid;
                }
            }
            left = low+1;
            low = j, high = m-1;
            while (low < high) {
                ll mid = (low + high) / 2;
                if (segMaxM(low, mid, i) <= ref) {
                    low = mid+1;
                }
                else {
                    high = mid;
                }
            }
            right = high-1;

            low = 0, high = i;
            while (low < high) {
                ll mid = (low + high + 1) / 2;
                if (segMaxN(mid, high, j) <= ref) {
                    high = mid-1;
                }
                else {
                    low = mid;
                }
            }
            top = low+1;
            low = i, high = n-1;
            while (low < high) {
                ll mid = (low + high) / 2;
                if (segMaxN(low, mid, j) <= ref) {
                    low = mid+1;
                }
                else {
                    high = mid;
                }
            }
            bottom = high-1;

            ll hash = (left << 48) | (right << 32) | (top << 16) | bottom;
            if (s.count(hash)) continue;
            s.insert(hash);

            ll lN = bottom-top+1, lM = right-left+1;
            bool poss = 1;
            for (int meta = top; meta < top+lN && poss; meta++) {
                ll border = min(a[meta][left-1], a[meta][left+lM]);
                if (border <= segMaxM(left, left+lM-1, meta)) {
                    poss = 0;
                }
            }
            for (int meta = left; meta < left+lM && poss; meta++) {
                ll border = min(a[top-1][meta], a[top+lN][meta]);
                if (border <= segMaxN(top, top+lN-1, meta)) {
                    poss = 0;
                }
            }
            res += poss;
        }
    }
    return res;
}

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 372 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 372 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 7 ms 856 KB Output is correct
23 Correct 9 ms 860 KB Output is correct
24 Correct 6 ms 860 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 3 ms 860 KB Output is correct
27 Correct 3 ms 860 KB Output is correct
28 Correct 3 ms 860 KB Output is correct
29 Correct 1 ms 604 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 856 KB Output is correct
18 Correct 9 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 372 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 115 ms 3680 KB Output is correct
31 Correct 108 ms 3884 KB Output is correct
32 Correct 112 ms 3876 KB Output is correct
33 Correct 16 ms 3420 KB Output is correct
34 Correct 19 ms 3768 KB Output is correct
35 Correct 20 ms 3764 KB Output is correct
36 Correct 19 ms 3520 KB Output is correct
37 Correct 20 ms 3508 KB Output is correct

Subtask #4
0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 856 KB Output is correct
18 Correct 9 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 115 ms 3680 KB Output is correct
26 Correct 108 ms 3884 KB Output is correct
27 Correct 112 ms 3876 KB Output is correct
28 Correct 16 ms 3420 KB Output is correct
29 Correct 19 ms 3768 KB Output is correct
30 Correct 20 ms 3764 KB Output is correct
31 Correct 19 ms 3520 KB Output is correct
32 Correct 20 ms 3508 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 372 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 387 ms 47408 KB Output is correct
39 Correct 370 ms 47552 KB Output is correct
40 Correct 424 ms 47416 KB Output is correct
41 Correct 410 ms 47552 KB Output is correct
42 Execution timed out 5081 ms 32964 KB Time limit exceeded
43 Halted 0 ms 0 KB -

Subtask #5
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 860 KB Output is correct
2 Correct 9 ms 860 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 3 ms 860 KB Output is correct
6 Correct 3 ms 860 KB Output is correct
7 Correct 3 ms 860 KB Output is correct
8 Correct 3 ms 856 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #6
0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 3136 ms 224448 KB Output is correct
8 Execution timed out 5060 ms 448756 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 360 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 856 KB Output is correct
18 Correct 9 ms 860 KB Output is correct
19 Correct 6 ms 860 KB Output is correct
20 Correct 2 ms 860 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 115 ms 3680 KB Output is correct
26 Correct 108 ms 3884 KB Output is correct
27 Correct 112 ms 3876 KB Output is correct
28 Correct 16 ms 3420 KB Output is correct
29 Correct 19 ms 3768 KB Output is correct
30 Correct 20 ms 3764 KB Output is correct
31 Correct 19 ms 3520 KB Output is correct
32 Correct 20 ms 3508 KB Output is correct
33 Correct 387 ms 47408 KB Output is correct
34 Correct 370 ms 47552 KB Output is correct
35 Correct 424 ms 47416 KB Output is correct
36 Correct 410 ms 47552 KB Output is correct
37 Execution timed out 5081 ms 32964 KB Time limit exceeded
38 Halted 0 ms 0 KB -