oj.uz

Submission #91744

# Submission time Handle Problem Language Result Execution time Memory
91744 2018-12-29T19:07:20 Z popovicirobert Chessboard (IZhO18_chessboard) C++14
70 / 100
 398 ms 1924 KB 
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
#define ld long double
// 217
// 44

using namespace std;

const int MAXN = (int) 1e5;

struct Data {
    int x1, y1, x2, y2;
}arr[MAXN + 1];

inline void add(vector <ll> &fr, ll a, ll b) {
    fr[0] += a;
    fr[1] += b;
}

inline int get(int x, int len) {
    if(x - len + 1 < 0) {
        return -1;
    }
    return ((x - len + 1) / len) * len + len - 1;
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int i, n, k;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> n >> k;
    for(i = 1; i <= k; i++) {
        cin >> arr[i].x1 >> arr[i].y1 >> arr[i].x2 >> arr[i].y2;
        arr[i].x1--, arr[i].y1--;
        arr[i].x2--, arr[i].y2--;
    }
    ll ans = 1LL * n * n;
    for(int len = 1; len < n; len++) {
        if(n % len == 0) {
            vector <ll> fr(2);
            for(i = 1; i <= k; i++) {
                if(arr[i].x2 / len == arr[i].x1 / len && arr[i].y2 / len == arr[i].y1 / len) {
                    if((arr[i].x1 / len + arr[i].y1 / len) % 2 == 0) {
                        fr[0] += 1LL * (arr[i].x2 - arr[i].x1 + 1) * (arr[i].y2 - arr[i].y1 + 1);
                    }
                    else {
                        fr[1] += 1LL * (arr[i].x2 - arr[i].x1 + 1) * (arr[i].y2 - arr[i].y1 + 1);
                    }
                    continue;
                }
                int a = min(arr[i].x2 - arr[i].x1 + 1, ((arr[i].x1 + len - 1) / len) * len - arr[i].x1);
                int A = min(arr[i].y2 - arr[i].y1 + 1, ((arr[i].y1 + len - 1) / len) * len - arr[i].y1);
                int b = min(arr[i].x2 - arr[i].x1 + 1, arr[i].x2 - get(arr[i].x2, len));
                int B = min(arr[i].y2 - arr[i].y1 + 1, arr[i].y2 - get(arr[i].y2, len));
                if(arr[i].y2 / len == arr[i].y1 / len) {
                    if((arr[i].x1 / len + arr[i].y1 / len) % 2 == 0) {
                        add(fr, 1LL * a * (arr[i].y2 - arr[i].y1 + 1), 0);
                    }
                    else {
                        add(fr, 0, 1LL * a * (arr[i].y2 - arr[i].y1 + 1));
                    }
                    if(((arr[i].x1 + a) / len + arr[i].y1 / len) % 2 == 0) {
                        int cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                        add(fr, 1LL * len * ((cur + 1) / 2) * A, 1LL * len * (cur / 2) * A);
                    }
                    else {
                        int cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                        add(fr, 1LL * len * (cur / 2) * A, 1LL * len * ((cur + 1) / 2) * A);
                    }
                    if((arr[i].x2 / len + arr[i].y1) / len % 2 == 0) {
                        add(fr, 1LL * b * (arr[i].y2 - arr[i].y1 + 1), 0);
                    }
                    else {
                        add(fr, 0, 1LL * b * (arr[i].y2 - arr[i].y1 + 1));
                    }
                    continue;
                }
                if(arr[i].x2 / len == arr[i].x1 / len) {
                    if((arr[i].x1 / len + arr[i].y1 / len) % 2 == 0) {
                        add(fr, 1LL * A * (arr[i].x2 - arr[i].x1 + 1), 0);
                    }
                    else {
                        add(fr, 0, 1LL * A * (arr[i].x2 - arr[i].x1 + 1));
                    }
                    if(((arr[i].y1 + A) / len + arr[i].x1 / len) % 2 == 0) {
                        int cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                        add(fr, 1LL * len * ((cur + 1) / 2) * a, 1LL * len * (cur / 2) * a);
                    }
                    else {
                        int cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                        add(fr, 1LL * len * (cur / 2) * a, 1LL * len * ((cur + 1) / 2) * a);
                    }
                    if((arr[i].x2 / len + arr[i].y1) / len % 2 == 0) {
                        add(fr, 1LL * B * (arr[i].x2 - arr[i].x1 + 1), 0);
                    }
                    else {
                        add(fr, 0, 1LL * B * (arr[i].x2 - arr[i].x1 + 1));
                    }
                    continue;
                }
                /*if(len == 2) {
                    cerr << a << " " << A << " " << b << " " << B << "\n";
                }*/

                if((arr[i].x1 / len + arr[i].y1 / len) % 2 == 0) {
                    add(fr, 1LL * a * A, 0);
                }
                else {
                    add(fr, 0, 1LL * a * A);
                }
                int cur;
                if((arr[i].x1 / len + (arr[i].y1 + A) / len) % 2 == 1) {
                    cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                    add(fr, 1LL * len * (cur / 2) * a, 1LL * len * ((cur + 1) / 2) * a);
                }
                else {
                    cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                    add(fr, 1LL * len * ((cur + 1) / 2) * a, 1LL * len * (cur / 2) * a);
                }
                if(((arr[i].x1 + a) / len + arr[i].y1 / len) % 2 == 1) {
                    cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * (cur / 2) * A, 1LL * len * ((cur + 1) / 2) * A);
                }
                else {
                    cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * ((cur + 1) / 2) * A, 1LL * len * (cur / 2) * A);
                }

                //////////////////////////////////
                if((arr[i].x1 / len + arr[i].y2 / len) % 2 == 0) {
                    add(fr, 1LL * a * B, 0);
                }
                else {
                    add(fr, 0, 1LL * a * B);
                }
                if((arr[i].x2 / len + arr[i].y1 / len) % 2 == 0) {
                    add(fr, 1LL * b * A, 0);
                }
                else {
                    add(fr, 0, 1LL * b * A);
                }

                //////////////////////////////////////
                if((arr[i].x2 / len + arr[i].y2 / len) % 2 == 0) {
                    add(fr, 1LL * b * B, 0);
                }
                else {
                    add(fr, 0, 1LL * b * B);
                }
                if(((arr[i].x2 - b) / len + arr[i].y2 / len) % 2 == 1) {
                    cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * (cur / 2) * B, 1LL * len * ((cur + 1) / 2) * B);
                }
                else {
                    cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * ((cur + 1) / 2) * B, 1LL * len * (cur / 2) * B);
                }
                if((arr[i].x2 / len + (arr[i].y2 - B) / len) % 2 == 1) {
                    cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                    add(fr, 1LL * len * (cur / 2) * b, 1LL * len * ((cur + 1) / 2) * b);
                }
                else {
                    cur = (arr[i].y2 - arr[i].y1 + 1 - A - B) / len;
                    add(fr, 1LL * len * ((cur + 1) / 2) * b, 1LL * len * (cur / 2) * b);
                }
                ///////////////////////////////

                ll cnt0, cnt1;
                ll s = 1LL * (arr[i].x2 - arr[i].x1 + 1 - a - b) * (arr[i].y2 - arr[i].y1 + 1 - A - B);
                if((s / (1LL * len * len)) % 2 == 0) {
                    cnt0 = cnt1 = (s / (1LL * len * len)) / 2;
                }
                else {
                    cnt0 = cnt1 = (s / (1LL * len * len)) / 2;
                    if((arr[i].x1 / len + arr[i].y1 / len) % 2 == 0) {
                        cnt0++;
                    }
                    else {
                        cnt1++;
                    }
                }
                fr[0] += 1LL * len * len * cnt0;
                fr[1] += 1LL * len * len * cnt1;
            }
            ll cnt0, cnt1;
            if((n / len) % 2 == 0) {
                cnt0 = cnt1 = ((1LL * n * n) / (1LL * len * len)) / 2;
            }
            else {
                cnt0 = cnt1 = ((1LL * n * n) / (1LL * len * len)) / 2;
                cnt0++;
            }
            cnt0 *= 1LL * len * len;
            cnt1 *= 1LL * len * len;
            //cerr << len << " " << cnt0 << " " << cnt1 << " " << fr[0] << " " << fr[1] << "\n";
            ans = min(ans, min(cnt0 - fr[0] + fr[1], cnt1 - fr[1] + fr[0]));
        }
    }
    cout << ans;
    //cin.close();
    //cout.close();
    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1272 KB Output is correct
2 Correct 7 ms 632 KB Output is correct
3 Correct 15 ms 888 KB Output is correct
4 Correct 17 ms 1016 KB Output is correct
5 Correct 22 ms 1144 KB Output is correct
6 Correct 26 ms 1016 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 15 ms 888 KB Output is correct
9 Correct 34 ms 1744 KB Output is correct
10 Correct 20 ms 1144 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 380 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 380 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 380 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 380 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 11 ms 760 KB Output is correct
17 Correct 26 ms 1656 KB Output is correct
18 Correct 34 ms 1912 KB Output is correct
19 Correct 70 ms 1784 KB Output is correct
20 Correct 78 ms 1912 KB Output is correct
21 Correct 25 ms 1528 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 19 ms 1148 KB Output is correct
24 Correct 31 ms 1752 KB Output is correct
25 Correct 5 ms 504 KB Output is correct
26 Correct 20 ms 1144 KB Output is correct
27 Correct 27 ms 1528 KB Output is correct
28 Correct 33 ms 1876 KB Output is correct
29 Correct 11 ms 888 KB Output is correct
30 Correct 2 ms 376 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1272 KB Output is correct
2 Correct 7 ms 632 KB Output is correct
3 Correct 15 ms 888 KB Output is correct
4 Correct 17 ms 1016 KB Output is correct
5 Correct 22 ms 1144 KB Output is correct
6 Correct 26 ms 1016 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 15 ms 888 KB Output is correct
9 Correct 34 ms 1744 KB Output is correct
10 Correct 20 ms 1144 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 11 ms 760 KB Output is correct
27 Correct 26 ms 1656 KB Output is correct
28 Correct 34 ms 1912 KB Output is correct
29 Correct 70 ms 1784 KB Output is correct
30 Correct 78 ms 1912 KB Output is correct
31 Correct 25 ms 1528 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 19 ms 1148 KB Output is correct
34 Correct 31 ms 1752 KB Output is correct
35 Correct 5 ms 504 KB Output is correct
36 Correct 20 ms 1144 KB Output is correct
37 Correct 27 ms 1528 KB Output is correct
38 Correct 33 ms 1876 KB Output is correct
39 Correct 11 ms 888 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 64 ms 1632 KB Output is correct
42 Correct 38 ms 1912 KB Output is correct
43 Correct 47 ms 1656 KB Output is correct
44 Correct 37 ms 1784 KB Output is correct
45 Correct 37 ms 1912 KB Output is correct
46 Correct 72 ms 1784 KB Output is correct
47 Correct 32 ms 1716 KB Output is correct
48 Correct 43 ms 1656 KB Output is correct
49 Correct 35 ms 1656 KB Output is correct
50 Correct 251 ms 1784 KB Output is correct
51 Correct 263 ms 1912 KB Output is correct
52 Correct 246 ms 1884 KB Output is correct
53 Correct 265 ms 1924 KB Output is correct
54 Correct 242 ms 1784 KB Output is correct
55 Correct 274 ms 1912 KB Output is correct
56 Correct 236 ms 1756 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 24 ms 1272 KB Output is correct
10 Correct 7 ms 632 KB Output is correct
11 Correct 15 ms 888 KB Output is correct
12 Correct 17 ms 1016 KB Output is correct
13 Correct 22 ms 1144 KB Output is correct
14 Correct 26 ms 1016 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 15 ms 888 KB Output is correct
17 Correct 34 ms 1744 KB Output is correct
18 Correct 20 ms 1144 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 380 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 380 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 11 ms 760 KB Output is correct
35 Correct 26 ms 1656 KB Output is correct
36 Correct 34 ms 1912 KB Output is correct
37 Correct 70 ms 1784 KB Output is correct
38 Correct 78 ms 1912 KB Output is correct
39 Correct 25 ms 1528 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 19 ms 1148 KB Output is correct
42 Correct 31 ms 1752 KB Output is correct
43 Correct 5 ms 504 KB Output is correct
44 Correct 20 ms 1144 KB Output is correct
45 Correct 27 ms 1528 KB Output is correct
46 Correct 33 ms 1876 KB Output is correct
47 Correct 11 ms 888 KB Output is correct
48 Correct 2 ms 376 KB Output is correct
49 Correct 64 ms 1632 KB Output is correct
50 Correct 38 ms 1912 KB Output is correct
51 Correct 47 ms 1656 KB Output is correct
52 Correct 37 ms 1784 KB Output is correct
53 Correct 37 ms 1912 KB Output is correct
54 Correct 72 ms 1784 KB Output is correct
55 Correct 32 ms 1716 KB Output is correct
56 Correct 43 ms 1656 KB Output is correct
57 Correct 35 ms 1656 KB Output is correct
58 Correct 251 ms 1784 KB Output is correct
59 Correct 263 ms 1912 KB Output is correct
60 Correct 246 ms 1884 KB Output is correct
61 Correct 265 ms 1924 KB Output is correct
62 Correct 242 ms 1784 KB Output is correct
63 Correct 274 ms 1912 KB Output is correct
64 Correct 236 ms 1756 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Incorrect 398 ms 1784 KB Output isn't correct
68 Halted 0 ms 0 KB -