oj.uz

Submission #897823

# Submission time Handle Problem Language Result Execution time Memory
897823 2024-01-03T18:14:11 Z DAleksa Chessboard (IZhO18_chessboard) C++17
100 / 100
 637 ms 4512 KB 
#include <bits/stdc++.h>

using namespace std;

const int K = 1e5 + 10, SQ = 700;
int n, k;
int x1[K], Y1[K], x2[K], y2[K];
vector<int> divs;
long long sum[SQ], P;

long long get(int x, int y, int k) {
    if(x == 0 || y == 0) {
        return 0;
    }
    int X = (x / k) * k, Y = (y / k) * k;
    long long ans = ((X / k) * 1LL * (Y / k) + 1) / 2 * k * k;
//    cout << k << "\n";
//    cout << x << " " << y << "\n";
//    cout << X << " " << Y << "\n";
//    cout << ans << "\n";
    ans += (x - X) * 1LL * k * (((Y / k) + ((X / k) % 2 == 0)) / 2);
//    cout << ans << "\n";
    ans += (y - Y) * 1LL * k * (((X / k) + ((Y / k) % 2 == 0)) / 2);
//    cout << ans << "\n";
    if((X / k + Y / k) % 2 == 0) {
        ans += (x - X) * 1LL * (y - Y);
    }
    return ans;
}

long long get(int x1, int Y1, int x2, int y2, int k) {
    return get(x2, y2, k) - get(x2, Y1 - 1, k) - get(x1 - 1, y2, k) + get(x1 - 1, Y1 - 1, k);
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n >> k;
    for(int i = 0; i < k; i++) {
        cin >> x1[i] >> Y1[i] >> x2[i] >> y2[i];
        P += (x2[i] - x1[i] + 1) * 1LL * (y2[i] - Y1[i] + 1);
    }
    divs.push_back(1);
    for(int i = 2; i * i < n; i++) {
        if(n % i == 0) {
            divs.push_back(i);
            divs.push_back(n / i);
        }
    }
    if(n % (int)sqrt(n) == 0) {
        divs.push_back(sqrt(n));
    }
    sort(divs.begin(), divs.end());
    for(int i = 0; i < k; i++) {
        for(int d = 0; d < divs.size(); d++) {
            sum[d] += get(x1[i], Y1[i], x2[i], y2[i], divs[d]);
//            cout << x1[i] << " " << Y1[i] << " " << x2[i] << " " << y2[i] << " " << divs[d] << " " << get(x1[i], Y1[i], x2[i], y2[i], divs[d]) << "\n";
        }
    }
    long long ans = 1e18;
//    cout << P << "\n\n";
    for(int i = 0; i < divs.size(); i++) {
        long long all = (((n / divs[i]) * 1LL * (n / divs[i]) + 1) / 2) * divs[i] * divs[i];
        ans = min(ans, all + P - 2 * sum[i]);
//        cout << i << ": " << ans << "\n";
        all = ((n / divs[i]) * 1LL * (n / divs[i]) / 2) * divs[i] * divs[i];
        ans = min(ans, all - P + 2 * sum[i]);
//        cout << i << ": " << ans << "\n";
    }
    cout << ans;
    return 0;
}
/*

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


4 1
4 1 4 4

*/

Compilation message

chessboard.cpp: In function 'int main()':
chessboard.cpp:55:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |         for(int d = 0; d < divs.size(); d++) {
      |                        ~~^~~~~~~~~~~~~
chessboard.cpp:62:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for(int i = 0; i < divs.size(); i++) {
      |                    ~~^~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 2776 KB Output is correct
2 Correct 6 ms 992 KB Output is correct
3 Correct 12 ms 1924 KB Output is correct
4 Correct 12 ms 1884 KB Output is correct
5 Correct 22 ms 2548 KB Output is correct
6 Correct 10 ms 1840 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 10 ms 1628 KB Output is correct
9 Correct 26 ms 3924 KB Output is correct
10 Correct 15 ms 2396 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 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 0 ms 348 KB Output is correct
10 Correct 0 ms 464 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 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 0 ms 348 KB Output is correct
10 Correct 0 ms 464 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 10 ms 1116 KB Output is correct
17 Correct 24 ms 2920 KB Output is correct
18 Correct 33 ms 3412 KB Output is correct
19 Correct 126 ms 3160 KB Output is correct
20 Correct 141 ms 3600 KB Output is correct
21 Correct 20 ms 2904 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 22 ms 1628 KB Output is correct
24 Correct 34 ms 3328 KB Output is correct
25 Correct 5 ms 600 KB Output is correct
26 Correct 24 ms 2136 KB Output is correct
27 Correct 35 ms 2396 KB Output is correct
28 Correct 32 ms 3412 KB Output is correct
29 Correct 8 ms 1372 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 2776 KB Output is correct
2 Correct 6 ms 992 KB Output is correct
3 Correct 12 ms 1924 KB Output is correct
4 Correct 12 ms 1884 KB Output is correct
5 Correct 22 ms 2548 KB Output is correct
6 Correct 10 ms 1840 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 10 ms 1628 KB Output is correct
9 Correct 26 ms 3924 KB Output is correct
10 Correct 15 ms 2396 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 464 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 10 ms 1116 KB Output is correct
27 Correct 24 ms 2920 KB Output is correct
28 Correct 33 ms 3412 KB Output is correct
29 Correct 126 ms 3160 KB Output is correct
30 Correct 141 ms 3600 KB Output is correct
31 Correct 20 ms 2904 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 22 ms 1628 KB Output is correct
34 Correct 34 ms 3328 KB Output is correct
35 Correct 5 ms 600 KB Output is correct
36 Correct 24 ms 2136 KB Output is correct
37 Correct 35 ms 2396 KB Output is correct
38 Correct 32 ms 3412 KB Output is correct
39 Correct 8 ms 1372 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 112 ms 3736 KB Output is correct
42 Correct 36 ms 4188 KB Output is correct
43 Correct 65 ms 3676 KB Output is correct
44 Correct 36 ms 3932 KB Output is correct
45 Correct 30 ms 4188 KB Output is correct
46 Correct 125 ms 3928 KB Output is correct
47 Correct 25 ms 3668 KB Output is correct
48 Correct 50 ms 3672 KB Output is correct
49 Correct 33 ms 3764 KB Output is correct
50 Correct 563 ms 4188 KB Output is correct
51 Correct 601 ms 4436 KB Output is correct
52 Correct 564 ms 3924 KB Output is correct
53 Correct 600 ms 4436 KB Output is correct
54 Correct 553 ms 3972 KB Output is correct
55 Correct 627 ms 4432 KB Output is correct
56 Correct 535 ms 3860 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 18 ms 2776 KB Output is correct
10 Correct 6 ms 992 KB Output is correct
11 Correct 12 ms 1924 KB Output is correct
12 Correct 12 ms 1884 KB Output is correct
13 Correct 22 ms 2548 KB Output is correct
14 Correct 10 ms 1840 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 10 ms 1628 KB Output is correct
17 Correct 26 ms 3924 KB Output is correct
18 Correct 15 ms 2396 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 464 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 10 ms 1116 KB Output is correct
35 Correct 24 ms 2920 KB Output is correct
36 Correct 33 ms 3412 KB Output is correct
37 Correct 126 ms 3160 KB Output is correct
38 Correct 141 ms 3600 KB Output is correct
39 Correct 20 ms 2904 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 22 ms 1628 KB Output is correct
42 Correct 34 ms 3328 KB Output is correct
43 Correct 5 ms 600 KB Output is correct
44 Correct 24 ms 2136 KB Output is correct
45 Correct 35 ms 2396 KB Output is correct
46 Correct 32 ms 3412 KB Output is correct
47 Correct 8 ms 1372 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 112 ms 3736 KB Output is correct
50 Correct 36 ms 4188 KB Output is correct
51 Correct 65 ms 3676 KB Output is correct
52 Correct 36 ms 3932 KB Output is correct
53 Correct 30 ms 4188 KB Output is correct
54 Correct 125 ms 3928 KB Output is correct
55 Correct 25 ms 3668 KB Output is correct
56 Correct 50 ms 3672 KB Output is correct
57 Correct 33 ms 3764 KB Output is correct
58 Correct 563 ms 4188 KB Output is correct
59 Correct 601 ms 4436 KB Output is correct
60 Correct 564 ms 3924 KB Output is correct
61 Correct 600 ms 4436 KB Output is correct
62 Correct 553 ms 3972 KB Output is correct
63 Correct 627 ms 4432 KB Output is correct
64 Correct 535 ms 3860 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 594 ms 4144 KB Output is correct
68 Correct 591 ms 4128 KB Output is correct
69 Correct 517 ms 3664 KB Output is correct
70 Correct 579 ms 4032 KB Output is correct
71 Correct 582 ms 3928 KB Output is correct
72 Correct 561 ms 3908 KB Output is correct
73 Correct 550 ms 3924 KB Output is correct
74 Correct 585 ms 3932 KB Output is correct
75 Correct 567 ms 3948 KB Output is correct
76 Correct 612 ms 4276 KB Output is correct
77 Correct 98 ms 4180 KB Output is correct
78 Correct 36 ms 3888 KB Output is correct
79 Correct 67 ms 3676 KB Output is correct
80 Correct 72 ms 3992 KB Output is correct
81 Correct 66 ms 3868 KB Output is correct
82 Correct 55 ms 3928 KB Output is correct
83 Correct 43 ms 3664 KB Output is correct
84 Correct 361 ms 4512 KB Output is correct
85 Correct 623 ms 4436 KB Output is correct
86 Correct 1 ms 344 KB Output is correct
87 Correct 1 ms 348 KB Output is correct
88 Correct 637 ms 4396 KB Output is correct
89 Correct 120 ms 1116 KB Output is correct
90 Correct 0 ms 348 KB Output is correct