oj.uz

Submission #501194

# Submission time Handle Problem Language Result Execution time Memory
501194 2022-01-02T15:18:56 Z dxz05 Chessboard (IZhO18_chessboard) C++14
16 / 100
 33 ms 5164 KB 
#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 + 1;
            ll j1 = (r.y1) / 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);

            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 + 1;
            ll j1 = (r.y1) / 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);

            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

 */

Compilation message

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:131:13: note: in expansion of macro 'debug'
  131 |             debug(white, black);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:135:9: note: in expansion of macro 'debug'
  135 |         debug(d, cost);
      |         ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:146:13: note: in expansion of macro 'debug'
  146 |             debug(i1, j1, i2, j2, id, jd);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:204:13: note: in expansion of macro 'debug'
  204 |             debug(white, black);
      |             ^~~~~
chessboard.cpp:19:20: warning: statement has no effect [-Wunused-value]
   19 | #define debug(...) 42
      |                    ^~
chessboard.cpp:208:9: note: in expansion of macro 'debug'
  208 |         debug(d, cost);
      |         ^~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 0 ms 316 KB Output is correct
8 Correct 1 ms 204 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 2252 KB Output is correct
2 Correct 6 ms 716 KB Output is correct
3 Correct 15 ms 2440 KB Output is correct
4 Correct 15 ms 2496 KB Output is correct
5 Correct 21 ms 3264 KB Output is correct
6 Correct 14 ms 2104 KB Output is correct
7 Correct 3 ms 712 KB Output is correct
8 Correct 14 ms 2156 KB Output is correct
9 Correct 33 ms 5164 KB Output is correct
10 Correct 19 ms 3036 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 204 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 204 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 2252 KB Output is correct
2 Correct 6 ms 716 KB Output is correct
3 Correct 15 ms 2440 KB Output is correct
4 Correct 15 ms 2496 KB Output is correct
5 Correct 21 ms 3264 KB Output is correct
6 Correct 14 ms 2104 KB Output is correct
7 Correct 3 ms 712 KB Output is correct
8 Correct 14 ms 2156 KB Output is correct
9 Correct 33 ms 5164 KB Output is correct
10 Correct 19 ms 3036 KB Output is correct
11 Incorrect 1 ms 204 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 0 ms 316 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 23 ms 2252 KB Output is correct
10 Correct 6 ms 716 KB Output is correct
11 Correct 15 ms 2440 KB Output is correct
12 Correct 15 ms 2496 KB Output is correct
13 Correct 21 ms 3264 KB Output is correct
14 Correct 14 ms 2104 KB Output is correct
15 Correct 3 ms 712 KB Output is correct
16 Correct 14 ms 2156 KB Output is correct
17 Correct 33 ms 5164 KB Output is correct
18 Correct 19 ms 3036 KB Output is correct
19 Incorrect 1 ms 204 KB Output isn't correct
20 Halted 0 ms 0 KB -