Submission #715008

# Submission time Handle Problem Language Result Execution time Memory
715008 2023-03-25T17:47:50 Z Stickfish Chessboard (IZhO18_chessboard) C++17
70 / 100
615 ms 1872 KB
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
using ll = long long;

bool get_color(pair<int, int> p, int d) {
    return (p.first / d + p.second / d) & 1;
}

ll intersect(pair<pair<int, int>, pair<int, int>> r1, pair<pair<int, int>, pair<int, int>> r2) {
    ll w = min(r1.second.first, r2.second.first) - max(r1.first.first, r2.first.first);
    ll h = min(r1.second.second, r2.second.second) - max(r1.first.second, r2.first.second);
    if (w < 0 || h < 0)
        return 0;
    return w * h;
}

signed main() {
    ll n, k;
    cin >> n >> k;
    vector<pair<pair<int, int>, pair<int, int>>> rect(k);
    for (int i = 0; i < k; ++i) {
        cin >> rect[i].first.first >> rect[i].first.second >> rect[i].second.first >> rect[i].second.second;
        --rect[i].first.first, --rect[i].first.second, --rect[i].second.first, --rect[i].second.second;
    }
    vector<ll> divs;
    for (int p = 1; p < n; ++p) {
        if (n % p == 0)
            divs.push_back(p);
    }
    int szd = divs.size();
    vector<ll> ans(szd);
    for (int di = 0; di < szd; ++di) {
        ll d = divs[di];
        if (n / d == 0)
            ans[di] = n * n / 2;
        else
            ans[di] = d * d * ((n / d) * (n / d) / 2);
    }
    for (auto [ld, ru] : rect) {
        for (int di = 0; di < szd; ++di) {
            ll d = divs[di];
            int r = ld.first + (ru.first - ld.first) % (2 * d);
            int u = ld.second + (ru.second - ld.second) % (2 * d);
            pair<pair<int, int>, pair<int, int>> rct = {ld, {r + 1, u + 1}};

            ll bi = ld.first / (2 * d) * (2 * d);
            ll bj = ld.second / (2 * d) * (2 * d);
            ans[di] += intersect(rct, {{bi, bj}, {bi + d, bj + d}});
            ans[di] -= intersect(rct, {{bi + d, bj}, {bi + 2 * d, bj + d}});
            ans[di] -= intersect(rct, {{bi, bj + d}, {bi + d, bj + 2 * d}});
            ans[di] += intersect(rct, {{bi + d, bj + d}, {bi + 2 * d, bj + 2 * d}});
        }
    }
    ll mnans = n * n;
    for (auto x : ans) {
        mnans = min({mnans, x, n * n - x});
    }
    cout << mnans << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 64 ms 1276 KB Output is correct
2 Correct 16 ms 564 KB Output is correct
3 Correct 43 ms 900 KB Output is correct
4 Correct 42 ms 980 KB Output is correct
5 Correct 56 ms 1136 KB Output is correct
6 Correct 37 ms 724 KB Output is correct
7 Correct 8 ms 340 KB Output is correct
8 Correct 37 ms 852 KB Output is correct
9 Correct 107 ms 1704 KB Output is correct
10 Correct 51 ms 980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 27 ms 716 KB Output is correct
17 Correct 76 ms 1620 KB Output is correct
18 Correct 93 ms 1840 KB Output is correct
19 Correct 168 ms 1676 KB Output is correct
20 Correct 189 ms 1836 KB Output is correct
21 Correct 65 ms 1492 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 54 ms 960 KB Output is correct
24 Correct 79 ms 1700 KB Output is correct
25 Correct 10 ms 440 KB Output is correct
26 Correct 53 ms 1176 KB Output is correct
27 Correct 72 ms 1364 KB Output is correct
28 Correct 83 ms 1748 KB Output is correct
29 Correct 30 ms 724 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 64 ms 1276 KB Output is correct
2 Correct 16 ms 564 KB Output is correct
3 Correct 43 ms 900 KB Output is correct
4 Correct 42 ms 980 KB Output is correct
5 Correct 56 ms 1136 KB Output is correct
6 Correct 37 ms 724 KB Output is correct
7 Correct 8 ms 340 KB Output is correct
8 Correct 37 ms 852 KB Output is correct
9 Correct 107 ms 1704 KB Output is correct
10 Correct 51 ms 980 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 27 ms 716 KB Output is correct
27 Correct 76 ms 1620 KB Output is correct
28 Correct 93 ms 1840 KB Output is correct
29 Correct 168 ms 1676 KB Output is correct
30 Correct 189 ms 1836 KB Output is correct
31 Correct 65 ms 1492 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 54 ms 960 KB Output is correct
34 Correct 79 ms 1700 KB Output is correct
35 Correct 10 ms 440 KB Output is correct
36 Correct 53 ms 1176 KB Output is correct
37 Correct 72 ms 1364 KB Output is correct
38 Correct 83 ms 1748 KB Output is correct
39 Correct 30 ms 724 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 156 ms 1584 KB Output is correct
42 Correct 102 ms 1760 KB Output is correct
43 Correct 126 ms 1596 KB Output is correct
44 Correct 103 ms 1716 KB Output is correct
45 Correct 101 ms 1816 KB Output is correct
46 Correct 178 ms 1748 KB Output is correct
47 Correct 91 ms 1632 KB Output is correct
48 Correct 112 ms 1624 KB Output is correct
49 Correct 94 ms 1624 KB Output is correct
50 Correct 552 ms 1716 KB Output is correct
51 Correct 604 ms 1812 KB Output is correct
52 Correct 547 ms 1704 KB Output is correct
53 Correct 587 ms 1800 KB Output is correct
54 Correct 546 ms 1740 KB Output is correct
55 Correct 615 ms 1868 KB Output is correct
56 Correct 533 ms 1620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 64 ms 1276 KB Output is correct
10 Correct 16 ms 564 KB Output is correct
11 Correct 43 ms 900 KB Output is correct
12 Correct 42 ms 980 KB Output is correct
13 Correct 56 ms 1136 KB Output is correct
14 Correct 37 ms 724 KB Output is correct
15 Correct 8 ms 340 KB Output is correct
16 Correct 37 ms 852 KB Output is correct
17 Correct 107 ms 1704 KB Output is correct
18 Correct 51 ms 980 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 27 ms 716 KB Output is correct
35 Correct 76 ms 1620 KB Output is correct
36 Correct 93 ms 1840 KB Output is correct
37 Correct 168 ms 1676 KB Output is correct
38 Correct 189 ms 1836 KB Output is correct
39 Correct 65 ms 1492 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 54 ms 960 KB Output is correct
42 Correct 79 ms 1700 KB Output is correct
43 Correct 10 ms 440 KB Output is correct
44 Correct 53 ms 1176 KB Output is correct
45 Correct 72 ms 1364 KB Output is correct
46 Correct 83 ms 1748 KB Output is correct
47 Correct 30 ms 724 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 156 ms 1584 KB Output is correct
50 Correct 102 ms 1760 KB Output is correct
51 Correct 126 ms 1596 KB Output is correct
52 Correct 103 ms 1716 KB Output is correct
53 Correct 101 ms 1816 KB Output is correct
54 Correct 178 ms 1748 KB Output is correct
55 Correct 91 ms 1632 KB Output is correct
56 Correct 112 ms 1624 KB Output is correct
57 Correct 94 ms 1624 KB Output is correct
58 Correct 552 ms 1716 KB Output is correct
59 Correct 604 ms 1812 KB Output is correct
60 Correct 547 ms 1704 KB Output is correct
61 Correct 587 ms 1800 KB Output is correct
62 Correct 546 ms 1740 KB Output is correct
63 Correct 615 ms 1868 KB Output is correct
64 Correct 533 ms 1620 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Incorrect 605 ms 1872 KB Output isn't correct
68 Halted 0 ms 0 KB -