Submission #841590

# Submission time Handle Problem Language Result Execution time Memory
841590 2023-09-01T17:58:49 Z I_love_Hoang_Yen Soccer Stadium (IOI23_soccer) C++17
65.5 / 100
255 ms 31912 KB
#include <bits/stdc++.h>
#include "soccer.h"
using namespace std;

struct Row {
    int first, last;
    int cnt() const {
        return last - first + 1;
    }
    bool contains(const Row& b) const {
        return first <= b.first && b.last <= last;
    }
    bool operator < (const Row& b) const {
        return cnt() > b.cnt();
    }
};

pair<bool, int> subtask_25p(int n, const vector<vector<int>>& forest) {
    int cnt_row = 0; // number of non-empty rows
    int first_row = n, last_row = -1;
    int total = 0;
    vector<Row> rows;

    for (int r = 0; r < n; ++r) {
        int cnt = 0; // number of empty cells
        int first = n, last = -1; // all empty cells should be in [first, last]
        for (int c = 0; c < n; ++c) {
            if (forest[r][c] == 0) {
                ++total;
                ++cnt;
                if (first == n) first = c;
                last = c;
            }
        }
        // ignore empty rows
        if (cnt == 0) continue;

        if (first_row == n) first_row = r;
        last_row = r;
        ++cnt_row;

        // Condition: in each row, there should be only 1 sequence of 0
        if (cnt != last - first + 1) return {false, -1};

        rows.push_back(Row{first, last});
    }

    // Condition: all rows with empty cells must be consecutive
    if (cnt_row != last_row - first_row + 1) return {false, -2};

    // From biggest row, each row should contains the row next to (& further away from) it
    int largest_row = min_element(rows.begin(), rows.end()) - rows.begin();
    for (int i = largest_row; i > 0; --i) {
        if (!rows[i].contains(rows[i-1])) return {false, -3};
    }
    for (int i = largest_row; i + 1 < (int) rows.size(); ++i) {
        if (!rows[i].contains(rows[i+1])) return {false, -4};
    }

    // In decreasing order of size, row should contains next row
    sort(rows.begin(), rows.end());
    for (int i = 0; i + 1 < (int) rows.size(); ++i) {
        if (!rows[i].contains(rows[i+1])) return {false, -5};
    }

    return {true, total};
}

int dp[33][33][33][33];
void upMax(int& f, int val) {
    if (val > f) f = val;
}

int sub4(int n, vector<vector<int>> forest) {
    for (int i = 0; i < n; ++i) {
        std::partial_sum(forest[i].begin(), forest[i].end(), forest[i].begin());
    }
    auto get_sum = [&] (int row, int l, int r) { // [l, r]
        return forest[row][r] - (l == 0 ? 0 : forest[row][l-1]);
    };

    memset(dp, -1, sizeof dp);
    for (int first_row = n-1; first_row >= 0; --first_row) {
        for (int last_row = first_row; last_row < n; ++last_row) {
            // base case: only 1 row
            if (first_row == last_row) {
                for (int l = 0; l < n; ++l) {
                    for (int r = l; r < n; ++r) {
                        if (get_sum(first_row, l, r) == 0) {
                            dp[first_row][first_row][l][r] = r - l + 1;
                        }
                    }
                }
            }
            
            for (int l = 0; l < n; ++l) {
                for (int r = l; r < n; ++r) {
                    int cur = dp[first_row][last_row][l][r];
                    if (cur < 0) continue;

                    for (int l2 = l; l2 <= r; l2++) {
                        for (int r2 = l2; r2 <= r; r2++) {
                            // update: add 1 row above
                            if (first_row > 0 && get_sum(first_row - 1, l2, r2) == 0) {
                                upMax(dp[first_row - 1][last_row][l2][r2], cur + r2 - l2 + 1);
                            }
                            // update: add 1 row below
                            if (last_row + 1 < n && get_sum(last_row + 1, l2, r2) == 0) {
                                upMax(dp[first_row][last_row + 1][l2][r2], cur + r2 - l2 + 1);
                            }
                        }
                    }
                }
            }
        }
    }

    int res = 0;
    for (int r1 = 0; r1 < n; ++r1) {
        for (int r2 = r1; r2 < n; ++r2) {
            for (int c1 = 0; c1 < n; ++c1) {
                for (int c2 = c1; c2 < n; ++c2) {
                    upMax(res, dp[r1][r2][c1][c2]);
                }
            }
        }
    }
    return res;
}

int sub1(int n, const vector<vector<int>>& forest) {
    for (int r = 0; r < n; ++r) {
        for (int c = 0; c < n; ++c) {
            if (forest[r][c] == 1) {
                return n * n - min({
                    (r+1) * (c+1),
                    (r+1) * (n-c),
                    (n-r) * (c+1),
                    (n-r) * (n-c),
                });
            }
        }
    }
    return n*n;
}

int biggest_stadium(int n, vector<vector<int>> forest) {
    auto [is_good, cnt] = subtask_25p(n, forest);
    if (is_good) return cnt;
    if (n <= 30) return sub4(n, forest);
    return sub1(n, forest);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 KB ok
# 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 348 KB ok
6 Correct 2 ms 4952 KB ok
7 Correct 1 ms 600 KB ok
8 Correct 14 ms 2396 KB ok
9 Correct 222 ms 31776 KB ok
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 1 ms 5208 KB ok
4 Correct 1 ms 4952 KB ok
5 Correct 1 ms 4952 KB ok
6 Correct 1 ms 4956 KB ok
7 Correct 1 ms 4956 KB ok
8 Correct 0 ms 344 KB ok
9 Correct 1 ms 348 KB ok
10 Correct 1 ms 4956 KB ok
11 Correct 1 ms 4956 KB ok
12 Correct 1 ms 4956 KB ok
13 Correct 0 ms 348 KB ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 KB ok
2 Correct 0 ms 348 KB ok
3 Correct 0 ms 348 KB ok
4 Correct 1 ms 5208 KB ok
5 Correct 1 ms 4952 KB ok
6 Correct 1 ms 4952 KB ok
7 Correct 1 ms 4956 KB ok
8 Correct 1 ms 4956 KB ok
9 Correct 0 ms 344 KB ok
10 Correct 1 ms 348 KB ok
11 Correct 1 ms 4956 KB ok
12 Correct 1 ms 4956 KB ok
13 Correct 1 ms 4956 KB ok
14 Correct 0 ms 348 KB ok
15 Correct 1 ms 4956 KB ok
16 Correct 1 ms 4956 KB ok
17 Correct 1 ms 4956 KB ok
18 Correct 1 ms 4956 KB ok
19 Correct 1 ms 4952 KB ok
20 Correct 0 ms 348 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 1 ms 4956 KB ok
23 Correct 1 ms 4968 KB ok
24 Correct 1 ms 4956 KB ok
25 Correct 1 ms 4956 KB ok
26 Correct 1 ms 4956 KB ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 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 1 ms 5208 KB ok
7 Correct 1 ms 4952 KB ok
8 Correct 1 ms 4952 KB ok
9 Correct 1 ms 4956 KB ok
10 Correct 1 ms 4956 KB ok
11 Correct 0 ms 344 KB ok
12 Correct 1 ms 348 KB ok
13 Correct 1 ms 4956 KB ok
14 Correct 1 ms 4956 KB ok
15 Correct 1 ms 4956 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 4956 KB ok
18 Correct 1 ms 4956 KB ok
19 Correct 1 ms 4956 KB ok
20 Correct 1 ms 4956 KB ok
21 Correct 1 ms 4952 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 1 ms 4956 KB ok
25 Correct 1 ms 4968 KB ok
26 Correct 1 ms 4956 KB ok
27 Correct 1 ms 4956 KB ok
28 Correct 1 ms 4956 KB ok
29 Correct 1 ms 4952 KB ok
30 Correct 3 ms 4956 KB ok
31 Correct 2 ms 4952 KB ok
32 Correct 2 ms 4956 KB ok
33 Correct 1 ms 4956 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 0 ms 348 KB ok
36 Correct 2 ms 4956 KB ok
37 Correct 2 ms 4956 KB ok
38 Correct 2 ms 4956 KB ok
39 Correct 2 ms 5088 KB ok
40 Correct 17 ms 4956 KB ok
41 Correct 11 ms 4956 KB ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 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 1 ms 5208 KB ok
7 Correct 1 ms 4952 KB ok
8 Correct 1 ms 4952 KB ok
9 Correct 1 ms 4956 KB ok
10 Correct 1 ms 4956 KB ok
11 Correct 0 ms 344 KB ok
12 Correct 1 ms 348 KB ok
13 Correct 1 ms 4956 KB ok
14 Correct 1 ms 4956 KB ok
15 Correct 1 ms 4956 KB ok
16 Correct 0 ms 348 KB ok
17 Correct 1 ms 4956 KB ok
18 Correct 1 ms 4956 KB ok
19 Correct 1 ms 4956 KB ok
20 Correct 1 ms 4956 KB ok
21 Correct 1 ms 4952 KB ok
22 Correct 0 ms 348 KB ok
23 Correct 0 ms 348 KB ok
24 Correct 1 ms 4956 KB ok
25 Correct 1 ms 4968 KB ok
26 Correct 1 ms 4956 KB ok
27 Correct 1 ms 4956 KB ok
28 Correct 1 ms 4956 KB ok
29 Correct 1 ms 4952 KB ok
30 Correct 3 ms 4956 KB ok
31 Correct 2 ms 4952 KB ok
32 Correct 2 ms 4956 KB ok
33 Correct 1 ms 4956 KB ok
34 Correct 0 ms 348 KB ok
35 Correct 0 ms 348 KB ok
36 Correct 2 ms 4956 KB ok
37 Correct 2 ms 4956 KB ok
38 Correct 2 ms 4956 KB ok
39 Correct 2 ms 5088 KB ok
40 Correct 17 ms 4956 KB ok
41 Correct 11 ms 4956 KB ok
42 Partially correct 14 ms 2392 KB partial
43 Partially correct 14 ms 2208 KB partial
44 Partially correct 15 ms 2392 KB partial
45 Partially correct 14 ms 2396 KB partial
46 Partially correct 20 ms 2396 KB partial
47 Partially correct 14 ms 2396 KB partial
48 Correct 15 ms 2392 KB ok
49 Partially correct 14 ms 2396 KB partial
50 Partially correct 14 ms 2204 KB partial
51 Partially correct 16 ms 2208 KB partial
52 Partially correct 14 ms 2396 KB partial
53 Partially correct 14 ms 2392 KB partial
54 Partially correct 14 ms 2392 KB partial
55 Partially correct 14 ms 2396 KB partial
56 Partially correct 19 ms 2392 KB partial
57 Partially correct 16 ms 2392 KB partial
58 Partially correct 16 ms 2392 KB partial
59 Partially correct 14 ms 2396 KB partial
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4952 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 2 ms 4952 KB ok
8 Correct 1 ms 600 KB ok
9 Correct 14 ms 2396 KB ok
10 Correct 222 ms 31776 KB ok
11 Correct 1 ms 5208 KB ok
12 Correct 1 ms 4952 KB ok
13 Correct 1 ms 4952 KB ok
14 Correct 1 ms 4956 KB ok
15 Correct 1 ms 4956 KB ok
16 Correct 0 ms 344 KB ok
17 Correct 1 ms 348 KB ok
18 Correct 1 ms 4956 KB ok
19 Correct 1 ms 4956 KB ok
20 Correct 1 ms 4956 KB ok
21 Correct 0 ms 348 KB ok
22 Correct 1 ms 4956 KB ok
23 Correct 1 ms 4956 KB ok
24 Correct 1 ms 4956 KB ok
25 Correct 1 ms 4956 KB ok
26 Correct 1 ms 4952 KB ok
27 Correct 0 ms 348 KB ok
28 Correct 0 ms 348 KB ok
29 Correct 1 ms 4956 KB ok
30 Correct 1 ms 4968 KB ok
31 Correct 1 ms 4956 KB ok
32 Correct 1 ms 4956 KB ok
33 Correct 1 ms 4956 KB ok
34 Correct 1 ms 4952 KB ok
35 Correct 3 ms 4956 KB ok
36 Correct 2 ms 4952 KB ok
37 Correct 2 ms 4956 KB ok
38 Correct 1 ms 4956 KB ok
39 Correct 0 ms 348 KB ok
40 Correct 0 ms 348 KB ok
41 Correct 2 ms 4956 KB ok
42 Correct 2 ms 4956 KB ok
43 Correct 2 ms 4956 KB ok
44 Correct 2 ms 5088 KB ok
45 Correct 17 ms 4956 KB ok
46 Correct 11 ms 4956 KB ok
47 Partially correct 14 ms 2392 KB partial
48 Partially correct 14 ms 2208 KB partial
49 Partially correct 15 ms 2392 KB partial
50 Partially correct 14 ms 2396 KB partial
51 Partially correct 20 ms 2396 KB partial
52 Partially correct 14 ms 2396 KB partial
53 Correct 15 ms 2392 KB ok
54 Partially correct 14 ms 2396 KB partial
55 Partially correct 14 ms 2204 KB partial
56 Partially correct 16 ms 2208 KB partial
57 Partially correct 14 ms 2396 KB partial
58 Partially correct 14 ms 2392 KB partial
59 Partially correct 14 ms 2392 KB partial
60 Partially correct 14 ms 2396 KB partial
61 Partially correct 19 ms 2392 KB partial
62 Partially correct 16 ms 2392 KB partial
63 Partially correct 16 ms 2392 KB partial
64 Partially correct 14 ms 2396 KB partial
65 Partially correct 231 ms 31772 KB partial
66 Partially correct 228 ms 31772 KB partial
67 Partially correct 224 ms 31768 KB partial
68 Partially correct 221 ms 31792 KB partial
69 Partially correct 224 ms 31828 KB partial
70 Partially correct 221 ms 31792 KB partial
71 Partially correct 241 ms 31772 KB partial
72 Partially correct 225 ms 31788 KB partial
73 Correct 223 ms 31772 KB ok
74 Correct 228 ms 31772 KB ok
75 Partially correct 228 ms 31824 KB partial
76 Partially correct 224 ms 31772 KB partial
77 Partially correct 225 ms 31792 KB partial
78 Partially correct 225 ms 31772 KB partial
79 Partially correct 219 ms 31824 KB partial
80 Partially correct 225 ms 31824 KB partial
81 Partially correct 217 ms 31828 KB partial
82 Partially correct 218 ms 31780 KB partial
83 Partially correct 223 ms 31828 KB partial
84 Partially correct 255 ms 31824 KB partial
85 Partially correct 228 ms 31888 KB partial
86 Partially correct 228 ms 31772 KB partial
87 Partially correct 231 ms 31772 KB partial
88 Partially correct 225 ms 31776 KB partial
89 Partially correct 233 ms 31776 KB partial
90 Partially correct 230 ms 31776 KB partial
91 Partially correct 226 ms 31912 KB partial
92 Partially correct 231 ms 31780 KB partial
93 Partially correct 221 ms 31776 KB partial
94 Partially correct 217 ms 31824 KB partial
95 Partially correct 220 ms 31772 KB partial
96 Partially correct 218 ms 31776 KB partial
97 Partially correct 222 ms 31776 KB partial
98 Partially correct 226 ms 31828 KB partial
99 Partially correct 218 ms 31784 KB partial
100 Partially correct 230 ms 31780 KB partial
101 Partially correct 229 ms 31828 KB partial
102 Partially correct 231 ms 31828 KB partial
103 Partially correct 241 ms 31768 KB partial
104 Partially correct 224 ms 31772 KB partial
105 Partially correct 222 ms 31776 KB partial
106 Partially correct 224 ms 31772 KB partial
107 Partially correct 222 ms 31772 KB partial
108 Partially correct 225 ms 31824 KB partial
109 Partially correct 220 ms 31792 KB partial