Submission #958457

# Submission time Handle Problem Language Result Execution time Memory
958457 2024-04-05T20:24:43 Z shmax Chessboard (IZhO18_chessboard) C++17
16 / 100
27 ms 3164 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;
    }
    int size;
    bool inv = false;
    auto get_color = [&](int x, int y) -> bool {
        int xb = x / size;
        int yb = y / size;
        return (xb + yb) % 2;
    };

    auto calc_pref = [&](int x, int y) -> int {
        int cnt = 0;
        int xb = x / size;
        int yb = y / size;
        xb *= size;
        yb *= size;
        cnt = ((xb / size) * (yb / size) + get_color(xb, yb) ^ 1) / 2;
        cnt *= size * size;
        if (get_color(xb, yb)) {
            cnt += ((yb / size) + 1) / 2 * (x - xb) * size;
            cnt += ((xb / size) + 1) / 2 * (y - yb) * size;
        } else {
            cnt += ((yb / size)) / 2 * (x - xb) * size;
            cnt += ((xb / size)) / 2 * (y - yb) * size;
            cnt += (x - xb) * (y - yb);
        }
        return cnt;
    };

    auto calc = [&](int x1, int y1, int x2, int y2) -> int {
        int cnt = 0;
        cnt += calc_pref(x2, y2);
        cnt -= calc_pref(x1 - 1, y2);
        cnt -= calc_pref(x2, y1 - 1);
        cnt += calc_pref(x1 - 1, y1 - 1);
        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 = calc_pref(n, n);
            if (inv)
                cnt_black = n * n - cnt_black;
            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;
}

Compilation message

chessboard.cpp: In lambda function:
chessboard.cpp:307:42: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
  307 |         cnt = ((xb / size) * (yb / size) + get_color(xb, yb) ^ 1) / 2;
      |                ~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 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 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 2396 KB Output is correct
2 Correct 5 ms 860 KB Output is correct
3 Correct 12 ms 1628 KB Output is correct
4 Correct 13 ms 1884 KB Output is correct
5 Correct 17 ms 2140 KB Output is correct
6 Correct 12 ms 1372 KB Output is correct
7 Correct 3 ms 656 KB Output is correct
8 Correct 13 ms 1372 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 18 ms 1884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 19 ms 2396 KB Output is correct
2 Correct 5 ms 860 KB Output is correct
3 Correct 12 ms 1628 KB Output is correct
4 Correct 13 ms 1884 KB Output is correct
5 Correct 17 ms 2140 KB Output is correct
6 Correct 12 ms 1372 KB Output is correct
7 Correct 3 ms 656 KB Output is correct
8 Correct 13 ms 1372 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 18 ms 1884 KB Output is correct
11 Incorrect 1 ms 348 KB Output isn't correct
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 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 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 19 ms 2396 KB Output is correct
10 Correct 5 ms 860 KB Output is correct
11 Correct 12 ms 1628 KB Output is correct
12 Correct 13 ms 1884 KB Output is correct
13 Correct 17 ms 2140 KB Output is correct
14 Correct 12 ms 1372 KB Output is correct
15 Correct 3 ms 656 KB Output is correct
16 Correct 13 ms 1372 KB Output is correct
17 Correct 27 ms 3164 KB Output is correct
18 Correct 18 ms 1884 KB Output is correct
19 Incorrect 1 ms 348 KB Output isn't correct
20 Halted 0 ms 0 KB -