oj.uz

Submission #683123

# Submission time Handle Problem Language Result Execution time Memory
683123 2023-01-17T18:54:30 Z phoenix Chessboard (IZhO18_chessboard) C++17
100 / 100
 1979 ms 6376 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

struct point {
    ll x, y;
    // point(ll x, ll y) : x(x), y(y) {}
};

// returns number of black ceils on chess board a x b, f - color of first ceil (0 - white, 1 - black)
ll black_nums(ll a, ll b, bool f) {
    if(a < 0 || b < 0) return 0;
    if(f) return ((a + 1) / 2) * ((b + 1) / 2) + (a / 2) * (b / 2); 
    return (a / 2) * ((b + 1) / 2) + ((a + 1) / 2) * (b / 2);
}   
ll func(point p1, point p2, ll d, bool cl) {

    ll x1 = p1.x, x2 = p2.x, y1 = p1.y, y2 = p2.y;
    ll dx1 = ((d - p1.x % d) % d);
    ll dy1 = ((d - p1.y % d) % d);
    ll dx2 = ((p2.x + 1) % d);
    ll dy2 = ((p2.y + 1) % d);
    // cout << x1 << ' ' << y1 << ' ' << x2 << ' ' << y2 << '\n';
    if((dx1 || dx2) && p1.x / d == p2.x / d) dx1 = p2.x - p1.x + 1, dx2 = 0; 
    x1 += dx1; x2 -= dx2;
    if((dx1 || dx2) && p1.y / d == p2.y / d) dy1 = p2.y - p1.y + 1, dy2 = 0; 
    y1 += dy1; y2 -= dy2;
    // cout << x1 << ' ' << y1 << ' ' << x2 << ' ' << y2 << '\n';
    // cout << dx1 << ' ' << dy1 << ' ' << dx2 << ' ' << dy2 << '\n';
    ll cnt = 0;
    cnt += black_nums((x2 - x1 + 1) / d, (y2 - y1 + 1) / d, (cl ^ ((x1 / d + y1 / d) % 2))) * d * d;
    cnt += black_nums((x2 - x1 + 1) / d, 1, (cl ^ ((x1 / d + p1.y / d) % 2))) * dy1 * d;
    cnt += black_nums((x2 - x1 + 1) / d, 1, (cl ^ ((x1 / d + p2.y / d) % 2))) * dy2 * d;
    cnt += black_nums(1, (y2 - y1 + 1) / d, (cl ^ ((p1.x / d + y1 / d) % 2))) * dx1 * d;
    cnt += black_nums(1, (y2 - y1 + 1) / d, (cl ^ ((p2.x / d + y1 / d) % 2))) * dx2 * d;
    cnt += (cl ^ ((p1.x / d + p1.y / d) % 2)) * dx1 * dy1;
    if(p2.x > p1.x) cnt += (cl ^ ((p2.x / d + p1.y / d) % 2)) * dx2 * dy1;
    if(p2.y > p1.y) cnt += (cl ^ ((p1.x / d + p2.y / d) % 2)) * dx1 * dy2;
    if(p2.x > p1.x && p2.y > p1.y) cnt += (cl ^ ((p2.x / d + p2.y / d) % 2)) * dx2 * dy2;
    return cnt;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    
    ll n, k;
    cin >> n >> k;
    vector<pair<point, point>> v;
    for(int i = 1; i <= k; i++) {
        point p1, p2;
        cin >> p1.x >> p1.y;
        p1.x--; p1.y--;
        cin >> p2.x >> p2.y;
        p2.x--; p2.y--;
        v.push_back(make_pair(p1, p2));
    }
    ll ans = n * n;
    for(ll D = 1; D * D <= n; D++) {
        if(n % D) continue;
        int d = D;
        ll val = 0;
        val = black_nums(n / d, n / d, 1) * d * d;
        for(auto [p1, p2] : v) {
            long long cnt = func(p1, p2, d, 1);
            val += (p2.x - p1.x + 1) * (p2.y - p1.y + 1) - 2 * cnt;
        }
        ans = min(ans, val);
        val = black_nums(n / d, n / d, 0) * d * d;
        for(auto [p1, p2] : v) {
            long long cnt = func(p1, p2, d, 0);
            val += (p2.x - p1.x + 1) * (p2.y - p1.y + 1) - 2 * cnt;
        }
        ans = min(ans, val);
        if(D == 1) continue;
        d = n / D;
        val = black_nums(n / d, n / d, 1) * d * d;
        for(auto [p1, p2] : v) {
            long long cnt = func(p1, p2, d, 1);
            val += (p2.x - p1.x + 1) * (p2.y - p1.y + 1) - 2 * cnt;
        }
        ans = min(ans, val);
        val = black_nums(n / d, n / d, 0) * d * d;
        for(auto [p1, p2] : v) {
            long long cnt = func(p1, p2, d, 0);
            val += (p2.x - p1.x + 1) * (p2.y - p1.y + 1) - 2 * cnt;
        }
        ans = min(ans, val);
    }
    cout << ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 320 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 2684 KB Output is correct
2 Correct 8 ms 1748 KB Output is correct
3 Correct 22 ms 2752 KB Output is correct
4 Correct 19 ms 2828 KB Output is correct
5 Correct 25 ms 2820 KB Output is correct
6 Correct 17 ms 2888 KB Output is correct
7 Correct 4 ms 856 KB Output is correct
8 Correct 20 ms 2816 KB Output is correct
9 Correct 43 ms 4912 KB Output is correct
10 Correct 27 ms 2760 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 288 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 320 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 288 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 320 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 22 ms 1796 KB Output is correct
17 Correct 34 ms 5048 KB Output is correct
18 Correct 66 ms 4840 KB Output is correct
19 Correct 372 ms 4868 KB Output is correct
20 Correct 386 ms 4980 KB Output is correct
21 Correct 35 ms 5060 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 53 ms 2888 KB Output is correct
24 Correct 75 ms 4880 KB Output is correct
25 Correct 14 ms 1112 KB Output is correct
26 Correct 43 ms 2932 KB Output is correct
27 Correct 64 ms 4888 KB Output is correct
28 Correct 68 ms 4824 KB Output is correct
29 Correct 15 ms 2788 KB Output is correct
30 Correct 3 ms 468 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 2684 KB Output is correct
2 Correct 8 ms 1748 KB Output is correct
3 Correct 22 ms 2752 KB Output is correct
4 Correct 19 ms 2828 KB Output is correct
5 Correct 25 ms 2820 KB Output is correct
6 Correct 17 ms 2888 KB Output is correct
7 Correct 4 ms 856 KB Output is correct
8 Correct 20 ms 2816 KB Output is correct
9 Correct 43 ms 4912 KB Output is correct
10 Correct 27 ms 2760 KB Output is correct
11 Correct 2 ms 320 KB Output is correct
12 Correct 1 ms 316 KB Output is correct
13 Correct 1 ms 288 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 328 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 324 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 22 ms 1796 KB Output is correct
27 Correct 34 ms 5048 KB Output is correct
28 Correct 66 ms 4840 KB Output is correct
29 Correct 372 ms 4868 KB Output is correct
30 Correct 386 ms 4980 KB Output is correct
31 Correct 35 ms 5060 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 53 ms 2888 KB Output is correct
34 Correct 75 ms 4880 KB Output is correct
35 Correct 14 ms 1112 KB Output is correct
36 Correct 43 ms 2932 KB Output is correct
37 Correct 64 ms 4888 KB Output is correct
38 Correct 68 ms 4824 KB Output is correct
39 Correct 15 ms 2788 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 316 ms 5168 KB Output is correct
42 Correct 79 ms 5100 KB Output is correct
43 Correct 164 ms 5096 KB Output is correct
44 Correct 70 ms 5064 KB Output is correct
45 Correct 45 ms 5084 KB Output is correct
46 Correct 342 ms 5264 KB Output is correct
47 Correct 43 ms 5160 KB Output is correct
48 Correct 113 ms 5056 KB Output is correct
49 Correct 64 ms 5060 KB Output is correct
50 Correct 1648 ms 4904 KB Output is correct
51 Correct 1771 ms 5092 KB Output is correct
52 Correct 1648 ms 5060 KB Output is correct
53 Correct 1784 ms 4932 KB Output is correct
54 Correct 1647 ms 5168 KB Output is correct
55 Correct 1806 ms 4804 KB Output is correct
56 Correct 1533 ms 5052 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 316 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 31 ms 2684 KB Output is correct
10 Correct 8 ms 1748 KB Output is correct
11 Correct 22 ms 2752 KB Output is correct
12 Correct 19 ms 2828 KB Output is correct
13 Correct 25 ms 2820 KB Output is correct
14 Correct 17 ms 2888 KB Output is correct
15 Correct 4 ms 856 KB Output is correct
16 Correct 20 ms 2816 KB Output is correct
17 Correct 43 ms 4912 KB Output is correct
18 Correct 27 ms 2760 KB Output is correct
19 Correct 2 ms 320 KB Output is correct
20 Correct 1 ms 316 KB Output is correct
21 Correct 1 ms 288 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 328 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 22 ms 1796 KB Output is correct
35 Correct 34 ms 5048 KB Output is correct
36 Correct 66 ms 4840 KB Output is correct
37 Correct 372 ms 4868 KB Output is correct
38 Correct 386 ms 4980 KB Output is correct
39 Correct 35 ms 5060 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 53 ms 2888 KB Output is correct
42 Correct 75 ms 4880 KB Output is correct
43 Correct 14 ms 1112 KB Output is correct
44 Correct 43 ms 2932 KB Output is correct
45 Correct 64 ms 4888 KB Output is correct
46 Correct 68 ms 4824 KB Output is correct
47 Correct 15 ms 2788 KB Output is correct
48 Correct 3 ms 468 KB Output is correct
49 Correct 316 ms 5168 KB Output is correct
50 Correct 79 ms 5100 KB Output is correct
51 Correct 164 ms 5096 KB Output is correct
52 Correct 70 ms 5064 KB Output is correct
53 Correct 45 ms 5084 KB Output is correct
54 Correct 342 ms 5264 KB Output is correct
55 Correct 43 ms 5160 KB Output is correct
56 Correct 113 ms 5056 KB Output is correct
57 Correct 64 ms 5060 KB Output is correct
58 Correct 1648 ms 4904 KB Output is correct
59 Correct 1771 ms 5092 KB Output is correct
60 Correct 1648 ms 5060 KB Output is correct
61 Correct 1784 ms 4932 KB Output is correct
62 Correct 1647 ms 5168 KB Output is correct
63 Correct 1806 ms 4804 KB Output is correct
64 Correct 1533 ms 5052 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 1862 ms 6240 KB Output is correct
68 Correct 1837 ms 6376 KB Output is correct
69 Correct 1595 ms 6348 KB Output is correct
70 Correct 1808 ms 6340 KB Output is correct
71 Correct 1771 ms 6232 KB Output is correct
72 Correct 1708 ms 6344 KB Output is correct
73 Correct 1687 ms 6348 KB Output is correct
74 Correct 1795 ms 6292 KB Output is correct
75 Correct 1736 ms 6336 KB Output is correct
76 Correct 1834 ms 6340 KB Output is correct
77 Correct 260 ms 6236 KB Output is correct
78 Correct 69 ms 6132 KB Output is correct
79 Correct 174 ms 6328 KB Output is correct
80 Correct 182 ms 6332 KB Output is correct
81 Correct 168 ms 6260 KB Output is correct
82 Correct 129 ms 6252 KB Output is correct
83 Correct 92 ms 6232 KB Output is correct
84 Correct 1065 ms 6236 KB Output is correct
85 Correct 1951 ms 6244 KB Output is correct
86 Correct 2 ms 212 KB Output is correct
87 Correct 1 ms 212 KB Output is correct
88 Correct 1979 ms 6284 KB Output is correct
89 Correct 371 ms 1864 KB Output is correct
90 Correct 1 ms 320 KB Output is correct