답안 #958449

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
958449 2024-04-05T19:45:52 Z shmax Chessboard (IZhO18_chessboard) C++17
70 / 100
2000 ms 5536 KB
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 */
/*
 * powered by ANDRIY POPYK
 * in honor of MYSELF and SEGMENT DECOMPOSITION and N^(log(N)) and (Harry Potter and the Methods of Rationality) and Monkie D. Luffy
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")

using namespace std;
using namespace __gnu_pbds;
#define int long long
#define float long double
#define elif else if
#define endl "\n"
#define mod 1000000007
#define pi acos(-1)
#define eps 0.000000001
#define inf 1000'000'000'000'000'000LL
#define FIXED(a) cout << fixed << setprecision(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define time_init auto start = std::chrono::high_resolution_clock::now()
#define time_report                                       \
    auto end = std::chrono::high_resolution_clock::now(); \
    std::cout << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << endl
#define debug(x) \
    { cerr << #x << " = " << x << endl; }
#define len(x) (int) x.size()
#define sqr(x) ((x) * (x))
#define cube(x) ((x) * (x) * (x))
#define bit(x, i) (((x) >> (i)) & 1)
#define set_bit(x, i) ((x) | (1LL << (i)))
#define clear_bit(x, i) ((x) & (~(1LL << (i))))
#define toggle_bit(x, i) ((x) ^ (1LL << (i)))
#define low_bit(x) ((x) & (-(x)))
#define count_bit(x) __builtin_popcountll(x)
#define srt(x) sort(all(x))
#define rsrt(x) sort(rall(x))
#define mp make_pair
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxelpos(x) (max_element(all(x)) - x.begin())
#define minelpos(x) (min_element(all(x)) - x.begin())
#define sum(x) (accumulate(all(x), 0LL))
#define product(x) (accumulate(all(x), 1LL, multiplies<int>()))
#define gcd __gcd
#define lcm(a, b) ((a) / gcd(a, b) * (b))
#define rev(x) (reverse(all(x)))
#define shift_left(x, k) (rotate(x.begin(), x.begin() + k, x.end()))
#define shift_right(x, k) (rotate(x.rbegin(), x.rbegin() + k, x.rend()))
#define is_sorted(x) (is_sorted_until(all(x)) == x.end())
#define is_even(x) (((x) &1) == 0)
#define is_odd(x) (((x) &1) == 1)
#define pow2(x) (1LL << (x))

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using matrix = vector<vector<T>>;
template<typename T>
using graph = vector<vector<T>>;
using hashmap = gp_hash_table<int, int, custom_hash>;

template<typename T>
vector<T> vect(int n, T val) {
    return vector<T>(n, val);
}

template<typename T>
vector<vector<T>> vect(int n, int m, T val) {
    return vector<vector<T>>(n, vector<T>(m, val));
}

template<typename T>
vector<vector<vector<T>>> vect(int n, int m, int k, T val) {
    return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, val)));
}

template<typename T>
vector<vector<vector<vector<T>>>> vect(int n, int m, int k, int l, T val) {
    return vector<vector<vector<vector<T>>>>(n, vector<vector<vector<T>>>(m, vector<vector<T>>(k, vector<T>(l, val))));
}

template<typename T>
matrix<T> new_matrix(int n, int m, T val) {
    return matrix<T>(n, vector<T>(m, val));
}

template<typename T>
graph<T> new_graph(int n) {
    return graph<T>(n);
}

template<class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}

template<class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}

using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using i128 = __int128_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;

template<typename T>
using vec = vector<T>;

using pII = pair<int, int>;
template<typename T>
using enumerated = pair<T, int>;

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int n, k;
    cin >> n >> k;
    struct rectangle {
        int x1, y1, x2, y2;
    };
    vec<rectangle> rects(k);
    for (int i = 0; i < k; i++) {
        cin >> rects[i].x1 >> rects[i].y1 >> rects[i].x2 >> rects[i].y2;
        rects[i].x1--;
        rects[i].y1--;
        rects[i].x2--;
        rects[i].y2--;
    }
    int size;
    bool inv = false;
    auto get_color = [&](int x, int y) -> bool {
        int xb = x / size;
        int yb = y / size;
        int ans = (xb % 2) ^ (yb % 2);
        return ans;
    };
    auto calc = [&](int x1, int y1, int x2, int y2) -> int {
        int cnt = 0;
        for (int i = x1; i <= x2; i++) {
            for (int j = y1; j <= y2; j++) {
                cnt += get_color(i, j);
            }
        }
        if (inv) {
            cnt = (x2 - x1 + 1) * (y2 - y1 + 1) - cnt;
        }
        return cnt;
    };
    vec<int> divs;
    for (int i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            divs.push_back(i);
            if (i * i != n) {
                divs.push_back(n / i);
            }
        }
    }
    srt(divs);
    int best = inf;
    for (auto d: divs) {
        if (d == n) break;
        size = d;
        for (int t = 0; t < 2; t++) {
            int cnt_black = ((n / size) * (n / size) + inv) / 2;
            cnt_black *= size * size;
            int good = 0;
            int ans = 0;
            for (auto r: rects) {
                int tr = calc(r.x1, r.y1, r.x2, r.y2);
                good += tr;
                ans += (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1) - tr;
            }
            ans += cnt_black - good;

            chmin(best, ans);
            inv ^= 1;
        }
    }
    cout << best << endl;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 2396 KB Output is correct
2 Correct 7 ms 860 KB Output is correct
3 Correct 11 ms 1628 KB Output is correct
4 Correct 12 ms 1884 KB Output is correct
5 Correct 15 ms 2140 KB Output is correct
6 Correct 10 ms 1368 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 9 ms 1420 KB Output is correct
9 Correct 25 ms 3164 KB Output is correct
10 Correct 14 ms 1884 KB Output is correct
# 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 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 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 1 ms 356 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
# 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 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 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 1 ms 356 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 7 ms 1112 KB Output is correct
17 Correct 19 ms 2904 KB Output is correct
18 Correct 25 ms 3416 KB Output is correct
19 Correct 66 ms 3164 KB Output is correct
20 Correct 70 ms 3420 KB Output is correct
21 Correct 18 ms 2908 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 14 ms 1624 KB Output is correct
24 Correct 23 ms 3160 KB Output is correct
25 Correct 3 ms 604 KB Output is correct
26 Correct 16 ms 2140 KB Output is correct
27 Correct 27 ms 2396 KB Output is correct
28 Correct 29 ms 3420 KB Output is correct
29 Correct 8 ms 1624 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 2396 KB Output is correct
2 Correct 7 ms 860 KB Output is correct
3 Correct 11 ms 1628 KB Output is correct
4 Correct 12 ms 1884 KB Output is correct
5 Correct 15 ms 2140 KB Output is correct
6 Correct 10 ms 1368 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 9 ms 1420 KB Output is correct
9 Correct 25 ms 3164 KB Output is correct
10 Correct 14 ms 1884 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 356 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 7 ms 1112 KB Output is correct
27 Correct 19 ms 2904 KB Output is correct
28 Correct 25 ms 3416 KB Output is correct
29 Correct 66 ms 3164 KB Output is correct
30 Correct 70 ms 3420 KB Output is correct
31 Correct 18 ms 2908 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 14 ms 1624 KB Output is correct
34 Correct 23 ms 3160 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 16 ms 2140 KB Output is correct
37 Correct 27 ms 2396 KB Output is correct
38 Correct 29 ms 3420 KB Output is correct
39 Correct 8 ms 1624 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 60 ms 2904 KB Output is correct
42 Correct 29 ms 3160 KB Output is correct
43 Correct 40 ms 2904 KB Output is correct
44 Correct 28 ms 3160 KB Output is correct
45 Correct 30 ms 3416 KB Output is correct
46 Correct 68 ms 3164 KB Output is correct
47 Correct 23 ms 2908 KB Output is correct
48 Correct 43 ms 3164 KB Output is correct
49 Correct 27 ms 2908 KB Output is correct
50 Correct 265 ms 3164 KB Output is correct
51 Correct 284 ms 3504 KB Output is correct
52 Correct 264 ms 3164 KB Output is correct
53 Correct 281 ms 3420 KB Output is correct
54 Correct 260 ms 3160 KB Output is correct
55 Correct 294 ms 3420 KB Output is correct
56 Correct 252 ms 3160 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 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 0 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 23 ms 2396 KB Output is correct
10 Correct 7 ms 860 KB Output is correct
11 Correct 11 ms 1628 KB Output is correct
12 Correct 12 ms 1884 KB Output is correct
13 Correct 15 ms 2140 KB Output is correct
14 Correct 10 ms 1368 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 9 ms 1420 KB Output is correct
17 Correct 25 ms 3164 KB Output is correct
18 Correct 14 ms 1884 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 356 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 7 ms 1112 KB Output is correct
35 Correct 19 ms 2904 KB Output is correct
36 Correct 25 ms 3416 KB Output is correct
37 Correct 66 ms 3164 KB Output is correct
38 Correct 70 ms 3420 KB Output is correct
39 Correct 18 ms 2908 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 14 ms 1624 KB Output is correct
42 Correct 23 ms 3160 KB Output is correct
43 Correct 3 ms 604 KB Output is correct
44 Correct 16 ms 2140 KB Output is correct
45 Correct 27 ms 2396 KB Output is correct
46 Correct 29 ms 3420 KB Output is correct
47 Correct 8 ms 1624 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 60 ms 2904 KB Output is correct
50 Correct 29 ms 3160 KB Output is correct
51 Correct 40 ms 2904 KB Output is correct
52 Correct 28 ms 3160 KB Output is correct
53 Correct 30 ms 3416 KB Output is correct
54 Correct 68 ms 3164 KB Output is correct
55 Correct 23 ms 2908 KB Output is correct
56 Correct 43 ms 3164 KB Output is correct
57 Correct 27 ms 2908 KB Output is correct
58 Correct 265 ms 3164 KB Output is correct
59 Correct 284 ms 3504 KB Output is correct
60 Correct 264 ms 3164 KB Output is correct
61 Correct 281 ms 3420 KB Output is correct
62 Correct 260 ms 3160 KB Output is correct
63 Correct 294 ms 3420 KB Output is correct
64 Correct 252 ms 3160 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Execution timed out 2088 ms 5536 KB Time limit exceeded
68 Halted 0 ms 0 KB -