제출 #501205

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
501205		dxz05	Chessboard (IZhO18_chessboard)	C++14	16 / 100	34 ms	4152 KiB

chessboard

#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
#pragma GCC target("avx2")

#include <bits/stdc++.h>

using namespace std;

void debug_out() { cerr << endl; }

template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << "[" << H << "]";
    debug_out(T...);
}

#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()

clock_t startTime;

double getCurrentTime() {
    return (double) (clock() - startTime) / CLOCKS_PER_SEC;
}

#define MP make_pair

typedef long long ll;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const double eps = 0.000001;
const int MOD = 998244353;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 2e6 + 3e2;
const int M = 222;

#define rect pair<pair<ll,ll>,pair<ll,ll>>
#define x1 first.first
#define y1 first.second
#define x2 second.first
#define y2 second.second

void solve(int TC) {
    int n, k;
    cin >> n >> k;

    vector<rect> rectangles(k);
    for (auto &r : rectangles){
        cin >> r.x1 >> r.y1 >> r.x2 >> r.y2;
    }

    vector<ll> divisors;
    for (int d = 1; d < n; d++){
        if (n % d == 0) divisors.push_back(d);
    }

    ll ans = 1ll * n * n;

    for (ll d : divisors){ /// (1, 1) = black
        ll cost = ((n / d) * (n / d) + 1) / 2 * d * d;
        for (auto r : rectangles){
            ll i1 = (r.x1 + d - 2) / d + 1;
            ll j1 = (r.y1 + d - 2) / d + 1;
            ll i2 = r.x2 / d;
            ll j2 = r.y2 / d;
            ll id = i2 - i1 + 1, jd = j2 - j1 + 1;
            debug(i1, j1, i2, j2, id, jd);

            if (id < 0 || jd < 0){
                ll S = (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1);
                if ((i1 + j1) % 2 == 0) cost += S; else
                    cost -= S;
                continue;
            }

            ll white = 0;
            white += (id * jd / 2) * d * d;
            if ((id * jd) % 2 == 1){
                if ((i1 + j1) % 2 == 1) white += d * d;
            }

            ll h = (i1 - 1) * d - r.x1 + 1;
            h = max(h, 0ll);
            white += jd / 2 * h * d;
            if (jd % 2 == 1){
                if ((i1 + j1) % 2 == 0) white += h * d;
            }

            h = r.x2 - i2 * d;
            h = max(h, 0ll);
            white += jd / 2 * h * d;
            if (jd % 2 == 1){
                if ((i2 + j1) % 2 == 0) white += h * d;
            }

            ll w = (j1 - 1) * d - r.y1 + 1;
            w = max(w, 0ll);
            white += id / 2 * w * d;
            if (id % 2 == 1){
                if ((i1 + j1) % 2 == 0) white += w * d;
            }

            w = r.y2 - j2 * d;
            w = max(w, 0ll);
            white += id / 2 * w * d;
            if (id % 2 == 1){
                if ((i1 + j2) % 2 == 0) white += w * d;
            }

            h = (i1 - 1) * d - r.x1 + 1, w = (j1 - 1) * d - r.y1 + 1;
            h = max(h, 0ll);
            w = max(w, 0ll);
            if ((i1 + j1) % 2 == 1) white += w * h;

            w = r.y2 - j2 * d;
            w = max(w, 0ll);
            if ((i1 + j2) % 2 == 1) white += w * h;

            h = r.x2 - i2 * d;
            h = max(h, 0ll);
            if ((i2 + j2) % 2 == 1) white += w * h;

            h = r.x2 - i2 * d, w = (j1 - 1) * d - r.y1 + 1;
            h = max(h, 0ll);
            w = max(w, 0ll);
            if ((i2 + j1) % 2 == 1) white += w * h;

            ll black = (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1) - white;
            cost += white;
            cost -= black;

            debug(white, black);
        }

        ans = min(ans, cost);
        debug(d, cost);
    }

    for (ll d : divisors){ /// (1, 1) = white
        ll cost = (n / d) * (n / d) / 2 * d * d;
        for (auto r : rectangles){
            ll i1 = (r.x1 + d - 2) / d + 1;
            ll j1 = (r.y1 + d - 2) / d + 1;
            ll i2 = r.x2 / d;
            ll j2 = r.y2 / d;
            ll id = i2 - i1 + 1, jd = j2 - j1 + 1;
            debug(i1, j1, i2, j2, id, jd);

            if (id < 0 || jd < 0){
                ll S = (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1);
                if ((i1 + j1) % 2 == 0) cost += S; else
                    cost -= S;
                continue;
            }

            ll white = 0;
            white += (id * jd / 2) * d * d;
            if ((id * jd) % 2 == 1){
                if ((i1 + j1) % 2 == 0) white += d * d;
            }

            ll h = (i1 - 1) * d - r.x1 + 1;
            h = max(h, 0ll);
            white += jd / 2 * h * d;
            if (jd % 2 == 1){
                if ((i1 + j1) % 2 == 1) white += h * d;
            }

            h = r.x2 - i2 * d;
            h = max(h, 0ll);
            white += jd / 2 * h * d;
            if (jd % 2 == 1){
                if ((i2 + j1) % 2 == 1) white += h * d;
            }

            ll w = (j1 - 1) * d - r.y1 + 1;
            w = max(w, 0ll);
            white += id / 2 * w * d;
            if (id % 2 == 1){
                if ((i1 + j1) % 2 == 1) white += w * d;
            }

            w = r.y2 - j2 * d;
            w = max(w, 0ll);
            white += id / 2 * w * d;
            if (id % 2 == 1){
                if ((i1 + j2) % 2 == 1) white += w * d;
            }

            h = (i1 - 1) * d - r.x1 + 1, w = (j1 - 1) * d - r.y1 + 1;
            h = max(h, 0ll);
            w = max(w, 0ll);
            if ((i1 + j1) % 2 == 0) white += w * h;

            w = r.y2 - j2 * d;
            w = max(w, 0ll);
            if ((i1 + j2) % 2 == 0) white += w * h;

            h = r.x2 - i2 * d;
            h = max(h, 0ll);
            if ((i2 + j2) % 2 == 0) white += w * h;

            h = r.x2 - i2 * d, w = (j1 - 1) * d - r.y1 + 1;
            h = max(h, 0ll);
            w = max(w, 0ll);
            if ((i2 + j1) % 2 == 0) white += w * h;

            ll black = (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1) - white;
            cost += white;
            cost -= black;

            debug(white, black);
        }

        ans = min(ans, cost);
        debug(d, cost);
    }

    cout << ans;
}

int main() {
    startTime = clock();
    ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

#ifdef dddxxz
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif

    int TC = 1;
//    cin >> TC;

    for (int test = 1; test <= TC; test++) {
        //debug(test);
        //cout << "Case #" << test << ": ";
        solve(test);
    }

    cerr << endl << "Time: " << int(getCurrentTime() * 1000) << " ms" << endl;

    return 0;
}

/*

6 8
1 2 1 2
2 1 2 1
3 3 3 3
3 4 3 4
3 6 3 6
4 3 4 3
4 4 4 4
5 5 5 5

4 1
4 1 4 4

 */

컴파일 시 표준 에러 (stderr) 메시지

chessboard.cpp: In function 'void solve(int)':
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:73:13: note: in expansion of macro 'debug'
   73 |             debug(i1, j1, i2, j2, id, jd);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:138:13: note: in expansion of macro 'debug'
  138 |             debug(white, black);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:142:9: note: in expansion of macro 'debug'
  142 |         debug(d, cost);
      |         ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:153:13: note: in expansion of macro 'debug'
  153 |             debug(i1, j1, i2, j2, id, jd);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:218:13: note: in expansion of macro 'debug'
  218 |             debug(white, black);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:222:9: note: in expansion of macro 'debug'
  222 |         debug(d, cost);
      |         ^~~~~

• Subtask 1: 8 / 8
• Subtask 2: 8 / 8
• Subtask 3: 0 / 15
• Subtask 4: 0 / 16
• Subtask 5: 0 / 23
• Subtask 6: 0 / 30