Submission #168985

# Submission time Handle Problem Language Result Execution time Memory
168985 2019-12-17T11:15:22 Z cormac Chessboard (IZhO18_chessboard) C++14
100 / 100
760 ms 4344 KB
#include <bits/stdc++.h>
using namespace std;

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)

using ll = long long;
using bk = tuple<ll, ll, ll, ll, ll>;

ll INF = 1LL << 60;


ll find(ll p, ll k) {
    return p / (2 * k) * k + min(k, p % (2 * k));
}

ll count1d(ll x, ll w, ll k) {
    return find(x + w, k) - find(x, k);
}

ll count2d(ll x, ll y, ll w, ll h, ll k) {
    ll r = count1d(x, w, k); 
    ll c = count1d(y, h, k);
    return  r * c + (w-r) * (h-c);
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    ll N, K, A;
    cin >> N >> K;
    A = N*N;
    
    vector<bk> blocks (K);
    F0R(i, K) {
        ll x, y, w, h;
        cin >> x >> y >> w >> h;
        w-=x; h-=y;
        --x; --y; ++w; ++h;
        blocks[i] = make_tuple(w*h, y, x, h, w);
    }

    ll best = INF;

    ROF(i, 1, N) {
        if (N % i != 0) continue;
        
        ll c = count2d(0, 0, N, N, i);

        for (bk block : blocks) {
            ll x, y, w, h, a;
            tie(a, x, y, w, h) = block;    
            ll overlap = count2d(x, y, w, h, i);
            c -= overlap;
            c += a - overlap;
        }
        best = min(best, c);
        best = min(best, A-c);
    }
    
    cout << best << endl;
}
# 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 252 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 256 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 2808 KB Output is correct
2 Correct 10 ms 1016 KB Output is correct
3 Correct 23 ms 1912 KB Output is correct
4 Correct 24 ms 2172 KB Output is correct
5 Correct 30 ms 2552 KB Output is correct
6 Correct 20 ms 1784 KB Output is correct
7 Correct 6 ms 632 KB Output is correct
8 Correct 20 ms 1784 KB Output is correct
9 Correct 49 ms 3928 KB Output is correct
10 Correct 28 ms 2296 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 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 380 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 3 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 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 380 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 3 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 17 ms 1400 KB Output is correct
17 Correct 38 ms 3704 KB Output is correct
18 Correct 56 ms 4216 KB Output is correct
19 Correct 168 ms 3852 KB Output is correct
20 Correct 188 ms 4292 KB Output is correct
21 Correct 37 ms 3704 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 34 ms 2040 KB Output is correct
24 Correct 50 ms 3832 KB Output is correct
25 Correct 9 ms 760 KB Output is correct
26 Correct 33 ms 2552 KB Output is correct
27 Correct 48 ms 3064 KB Output is correct
28 Correct 53 ms 4088 KB Output is correct
29 Correct 16 ms 1784 KB Output is correct
30 Correct 3 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 2808 KB Output is correct
2 Correct 10 ms 1016 KB Output is correct
3 Correct 23 ms 1912 KB Output is correct
4 Correct 24 ms 2172 KB Output is correct
5 Correct 30 ms 2552 KB Output is correct
6 Correct 20 ms 1784 KB Output is correct
7 Correct 6 ms 632 KB Output is correct
8 Correct 20 ms 1784 KB Output is correct
9 Correct 49 ms 3928 KB Output is correct
10 Correct 28 ms 2296 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 3 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 380 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 3 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 17 ms 1400 KB Output is correct
27 Correct 38 ms 3704 KB Output is correct
28 Correct 56 ms 4216 KB Output is correct
29 Correct 168 ms 3852 KB Output is correct
30 Correct 188 ms 4292 KB Output is correct
31 Correct 37 ms 3704 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 34 ms 2040 KB Output is correct
34 Correct 50 ms 3832 KB Output is correct
35 Correct 9 ms 760 KB Output is correct
36 Correct 33 ms 2552 KB Output is correct
37 Correct 48 ms 3064 KB Output is correct
38 Correct 53 ms 4088 KB Output is correct
39 Correct 16 ms 1784 KB Output is correct
40 Correct 3 ms 504 KB Output is correct
41 Correct 145 ms 3576 KB Output is correct
42 Correct 64 ms 4088 KB Output is correct
43 Correct 91 ms 3656 KB Output is correct
44 Correct 59 ms 3832 KB Output is correct
45 Correct 52 ms 4344 KB Output is correct
46 Correct 163 ms 3960 KB Output is correct
47 Correct 46 ms 3744 KB Output is correct
48 Correct 75 ms 3704 KB Output is correct
49 Correct 54 ms 3704 KB Output is correct
50 Correct 685 ms 3972 KB Output is correct
51 Correct 729 ms 4216 KB Output is correct
52 Correct 688 ms 3960 KB Output is correct
53 Correct 729 ms 4088 KB Output is correct
54 Correct 670 ms 3832 KB Output is correct
55 Correct 760 ms 4344 KB Output is correct
56 Correct 657 ms 3832 KB Output is correct
# 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 252 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 256 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 34 ms 2808 KB Output is correct
10 Correct 10 ms 1016 KB Output is correct
11 Correct 23 ms 1912 KB Output is correct
12 Correct 24 ms 2172 KB Output is correct
13 Correct 30 ms 2552 KB Output is correct
14 Correct 20 ms 1784 KB Output is correct
15 Correct 6 ms 632 KB Output is correct
16 Correct 20 ms 1784 KB Output is correct
17 Correct 49 ms 3928 KB Output is correct
18 Correct 28 ms 2296 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 256 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 3 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 380 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 3 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 17 ms 1400 KB Output is correct
35 Correct 38 ms 3704 KB Output is correct
36 Correct 56 ms 4216 KB Output is correct
37 Correct 168 ms 3852 KB Output is correct
38 Correct 188 ms 4292 KB Output is correct
39 Correct 37 ms 3704 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 34 ms 2040 KB Output is correct
42 Correct 50 ms 3832 KB Output is correct
43 Correct 9 ms 760 KB Output is correct
44 Correct 33 ms 2552 KB Output is correct
45 Correct 48 ms 3064 KB Output is correct
46 Correct 53 ms 4088 KB Output is correct
47 Correct 16 ms 1784 KB Output is correct
48 Correct 3 ms 504 KB Output is correct
49 Correct 145 ms 3576 KB Output is correct
50 Correct 64 ms 4088 KB Output is correct
51 Correct 91 ms 3656 KB Output is correct
52 Correct 59 ms 3832 KB Output is correct
53 Correct 52 ms 4344 KB Output is correct
54 Correct 163 ms 3960 KB Output is correct
55 Correct 46 ms 3744 KB Output is correct
56 Correct 75 ms 3704 KB Output is correct
57 Correct 54 ms 3704 KB Output is correct
58 Correct 685 ms 3972 KB Output is correct
59 Correct 729 ms 4216 KB Output is correct
60 Correct 688 ms 3960 KB Output is correct
61 Correct 729 ms 4088 KB Output is correct
62 Correct 670 ms 3832 KB Output is correct
63 Correct 760 ms 4344 KB Output is correct
64 Correct 657 ms 3832 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 706 ms 4056 KB Output is correct
68 Correct 719 ms 4088 KB Output is correct
69 Correct 610 ms 3576 KB Output is correct
70 Correct 677 ms 3892 KB Output is correct
71 Correct 671 ms 3960 KB Output is correct
72 Correct 653 ms 3832 KB Output is correct
73 Correct 647 ms 3704 KB Output is correct
74 Correct 706 ms 4012 KB Output is correct
75 Correct 666 ms 3816 KB Output is correct
76 Correct 712 ms 4060 KB Output is correct
77 Correct 130 ms 4216 KB Output is correct
78 Correct 59 ms 3952 KB Output is correct
79 Correct 92 ms 3576 KB Output is correct
80 Correct 97 ms 3856 KB Output is correct
81 Correct 89 ms 3576 KB Output is correct
82 Correct 82 ms 4088 KB Output is correct
83 Correct 65 ms 3704 KB Output is correct
84 Correct 427 ms 4216 KB Output is correct
85 Correct 754 ms 4344 KB Output is correct
86 Correct 3 ms 376 KB Output is correct
87 Correct 3 ms 376 KB Output is correct
88 Correct 755 ms 4320 KB Output is correct
89 Correct 145 ms 1272 KB Output is correct
90 Correct 3 ms 376 KB Output is correct