oj.uz

Submission #91728

# Submission time Handle Problem Language Result Execution time Memory
91728 2018-12-29T15:36:24 Z popovicirobert Chessboard (IZhO18_chessboard) C++14
70 / 100
 398 ms 2424 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;
}

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 = ((arr[i].x1 + len - 1) / len) * len - arr[i].x1;
                int A = ((arr[i].y1 + len - 1) / len) * len - arr[i].y1;
                int b = arr[i].x2 - (((arr[i].x2 - len + 1) / len) * len + len - 1);
                int B = arr[i].y2 - (((arr[i].y2 - len + 1) / len) * len + len - 1);
                /*if(len == 3) {
                    cerr << a << " " << A << " " << b << " " << B << "\n";
                }*/

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


                if((arr[i].x2 + arr[i].y2) % 2 == 0) {
                    add(fr, 1LL * b * B, 0);
                    int cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * (cur / 2) * B, 1LL * len * ((cur + 1) / 2) * B);
                    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 {
                    add(fr, 0, 1LL * b * B);
                    int cur = (arr[i].x2 - arr[i].x1 + 1 - a - b) / len;
                    add(fr, 1LL * len * ((cur + 1) / 2) * B, 1LL * len * (cur / 2) * B);
                    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 + arr[i].y1) % 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 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 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 1784 KB Output is correct
2 Correct 8 ms 888 KB Output is correct
3 Correct 16 ms 1400 KB Output is correct
4 Correct 17 ms 1436 KB Output is correct
5 Correct 22 ms 1528 KB Output is correct
6 Correct 15 ms 1272 KB Output is correct
7 Correct 5 ms 604 KB Output is correct
8 Correct 15 ms 1272 KB Output is correct
9 Correct 35 ms 2168 KB Output is correct
10 Correct 20 ms 1528 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 292 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 2 ms 376 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 292 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 2 ms 376 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 1144 KB Output is correct
17 Correct 27 ms 2040 KB Output is correct
18 Correct 35 ms 2296 KB Output is correct
19 Correct 72 ms 2040 KB Output is correct
20 Correct 81 ms 2300 KB Output is correct
21 Correct 26 ms 2040 KB Output is correct
22 Correct 2 ms 292 KB Output is correct
23 Correct 20 ms 1400 KB Output is correct
24 Correct 32 ms 2040 KB Output is correct
25 Correct 5 ms 636 KB Output is correct
26 Correct 21 ms 1528 KB Output is correct
27 Correct 27 ms 1784 KB Output is correct
28 Correct 34 ms 2244 KB Output is correct
29 Correct 12 ms 1272 KB Output is correct
30 Correct 3 ms 380 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1784 KB Output is correct
2 Correct 8 ms 888 KB Output is correct
3 Correct 16 ms 1400 KB Output is correct
4 Correct 17 ms 1436 KB Output is correct
5 Correct 22 ms 1528 KB Output is correct
6 Correct 15 ms 1272 KB Output is correct
7 Correct 5 ms 604 KB Output is correct
8 Correct 15 ms 1272 KB Output is correct
9 Correct 35 ms 2168 KB Output is correct
10 Correct 20 ms 1528 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 292 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 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 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 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 1144 KB Output is correct
27 Correct 27 ms 2040 KB Output is correct
28 Correct 35 ms 2296 KB Output is correct
29 Correct 72 ms 2040 KB Output is correct
30 Correct 81 ms 2300 KB Output is correct
31 Correct 26 ms 2040 KB Output is correct
32 Correct 2 ms 292 KB Output is correct
33 Correct 20 ms 1400 KB Output is correct
34 Correct 32 ms 2040 KB Output is correct
35 Correct 5 ms 636 KB Output is correct
36 Correct 21 ms 1528 KB Output is correct
37 Correct 27 ms 1784 KB Output is correct
38 Correct 34 ms 2244 KB Output is correct
39 Correct 12 ms 1272 KB Output is correct
40 Correct 3 ms 380 KB Output is correct
41 Correct 66 ms 2076 KB Output is correct
42 Correct 39 ms 2168 KB Output is correct
43 Correct 48 ms 2040 KB Output is correct
44 Correct 38 ms 2168 KB Output is correct
45 Correct 36 ms 2224 KB Output is correct
46 Correct 75 ms 2236 KB Output is correct
47 Correct 32 ms 2040 KB Output is correct
48 Correct 43 ms 2096 KB Output is correct
49 Correct 35 ms 2040 KB Output is correct
50 Correct 255 ms 2168 KB Output is correct
51 Correct 302 ms 2296 KB Output is correct
52 Correct 251 ms 2040 KB Output is correct
53 Correct 270 ms 2300 KB Output is correct
54 Correct 248 ms 2168 KB Output is correct
55 Correct 280 ms 2424 KB Output is correct
56 Correct 242 ms 2168 KB Output is correct

Subtask #6
0 / 30.0

# 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 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 1784 KB Output is correct
10 Correct 8 ms 888 KB Output is correct
11 Correct 16 ms 1400 KB Output is correct
12 Correct 17 ms 1436 KB Output is correct
13 Correct 22 ms 1528 KB Output is correct
14 Correct 15 ms 1272 KB Output is correct
15 Correct 5 ms 604 KB Output is correct
16 Correct 15 ms 1272 KB Output is correct
17 Correct 35 ms 2168 KB Output is correct
18 Correct 20 ms 1528 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 292 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 2 ms 376 KB Output is correct
27 Correct 2 ms 376 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 1144 KB Output is correct
35 Correct 27 ms 2040 KB Output is correct
36 Correct 35 ms 2296 KB Output is correct
37 Correct 72 ms 2040 KB Output is correct
38 Correct 81 ms 2300 KB Output is correct
39 Correct 26 ms 2040 KB Output is correct
40 Correct 2 ms 292 KB Output is correct
41 Correct 20 ms 1400 KB Output is correct
42 Correct 32 ms 2040 KB Output is correct
43 Correct 5 ms 636 KB Output is correct
44 Correct 21 ms 1528 KB Output is correct
45 Correct 27 ms 1784 KB Output is correct
46 Correct 34 ms 2244 KB Output is correct
47 Correct 12 ms 1272 KB Output is correct
48 Correct 3 ms 380 KB Output is correct
49 Correct 66 ms 2076 KB Output is correct
50 Correct 39 ms 2168 KB Output is correct
51 Correct 48 ms 2040 KB Output is correct
52 Correct 38 ms 2168 KB Output is correct
53 Correct 36 ms 2224 KB Output is correct
54 Correct 75 ms 2236 KB Output is correct
55 Correct 32 ms 2040 KB Output is correct
56 Correct 43 ms 2096 KB Output is correct
57 Correct 35 ms 2040 KB Output is correct
58 Correct 255 ms 2168 KB Output is correct
59 Correct 302 ms 2296 KB Output is correct
60 Correct 251 ms 2040 KB Output is correct
61 Correct 270 ms 2300 KB Output is correct
62 Correct 248 ms 2168 KB Output is correct
63 Correct 280 ms 2424 KB Output is correct
64 Correct 242 ms 2168 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 380 KB Output is correct
67 Incorrect 398 ms 2168 KB Output isn't correct
68 Halted 0 ms 0 KB -