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Submission #90899

# Submission time Handle Problem Language Result Execution time Memory
90899 2018-12-25T06:47:09 Z toloraia Chessboard (IZhO18_chessboard) C++17
100 / 100
 1178 ms 34588 KB 
#include <bits/stdc++.h>
#define ll long long
using namespace std;

const ll N = 1e5 + 5;

ll n, k;
ll x[N], y[N], X[N], Y[N];
ll a[2][2];
ll S1, S2;
ll ans;

int main()
{
    ios::sync_with_stdio(false);
    cin>>n>>k;
    for (ll i = 1; i <= k; i++){
        cin>>x[i]>>y[i]>>X[i]>>Y[i];
        x[i]--;
        y[i]--;
        X[i]--;
        Y[i]--;
        S1 += (X[i] - x[i] + 1) * (Y[i] - y[i] + 1);
    }
    S2 = n * n - S1;
    ans = n * n;
    for (ll I = 1; I < n; I++)
        if (n % I == 0){
            ll s1 = ((n / I) * (n / I) + 1) / 2 * I * I, s2 = (n / I) * (n / I) / 2 * I * I;
            ll m1 = 0, m2 = 0;
            for (ll i = 1; i <= k; i++){
                for (ll j = 0; j < 2; j++)
                    for (ll l = 0; l < 2; l++)
                        a[j][l] = 0;
                ll p, q, t;
                p = (x[i] + I - 1) / I * I;
                if (X[i] < p)
                    a[0][(x[i] / I) % 2] += X[i] - x[i] + 1;
                else {
                    q = X[i] / I * I;
                    t = (q - p) / I;
                    a[0][(x[i] / I) % 2] += p - x[i];
                    a[0][(X[i] / I) % 2] += X[i] - q + 1;
                    a[0][(p / I) % 2] += (t + 1) / 2 * I;
                    a[0][(p / I + 1) % 2] += t / 2 * I;
                }
                p = (y[i] + I - 1) / I * I;
                if (Y[i] < p)
                    a[1][(y[i] / I) % 2] += Y[i] - y[i] + 1;
                else {
                    q = Y[i] / I * I;
                    t = (q - p) / I;
                    a[1][(y[i] / I) % 2] += p - y[i];
                    a[1][(Y[i] / I) % 2] += Y[i] - q + 1;
                    a[1][(p / I) % 2] += (t + 1) / 2 * I;
                    a[1][(p / I + 1) % 2] += t / 2 * I;
                }
                m1 += a[0][0] * a[1][0] + a[0][1] * a[1][1];
                m2 += a[0][0] * a[1][1] + a[0][1] * a[1][0];
            }
            ll pas = 0;
            pas = n * n - m1 - (s2 - m2);
            ans = min (ans, pas);
            pas = n * n - m2 - (s1 - m1);
            ans = min (ans, pas);
        }
    cout<<ans<<endl;
    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 408 KB Output is correct
4 Correct 2 ms 488 KB Output is correct
5 Correct 2 ms 568 KB Output is correct
6 Correct 2 ms 572 KB Output is correct
7 Correct 2 ms 572 KB Output is correct
8 Correct 2 ms 572 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 2492 KB Output is correct
2 Correct 11 ms 2492 KB Output is correct
3 Correct 27 ms 2792 KB Output is correct
4 Correct 27 ms 3960 KB Output is correct
5 Correct 35 ms 5368 KB Output is correct
6 Correct 23 ms 5680 KB Output is correct
7 Correct 6 ms 5680 KB Output is correct
8 Correct 23 ms 6568 KB Output is correct
9 Correct 56 ms 10424 KB Output is correct
10 Correct 31 ms 10424 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10424 KB Output is correct
2 Correct 2 ms 10424 KB Output is correct
3 Correct 2 ms 10424 KB Output is correct
4 Correct 3 ms 10424 KB Output is correct
5 Correct 2 ms 10424 KB Output is correct
6 Correct 2 ms 10424 KB Output is correct
7 Correct 2 ms 10424 KB Output is correct
8 Correct 2 ms 10424 KB Output is correct
9 Correct 2 ms 10424 KB Output is correct
10 Correct 2 ms 10424 KB Output is correct
11 Correct 2 ms 10424 KB Output is correct
12 Correct 2 ms 10424 KB Output is correct
13 Correct 3 ms 10424 KB Output is correct
14 Correct 3 ms 10424 KB Output is correct
15 Correct 2 ms 10424 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10424 KB Output is correct
2 Correct 2 ms 10424 KB Output is correct
3 Correct 2 ms 10424 KB Output is correct
4 Correct 3 ms 10424 KB Output is correct
5 Correct 2 ms 10424 KB Output is correct
6 Correct 2 ms 10424 KB Output is correct
7 Correct 2 ms 10424 KB Output is correct
8 Correct 2 ms 10424 KB Output is correct
9 Correct 2 ms 10424 KB Output is correct
10 Correct 2 ms 10424 KB Output is correct
11 Correct 2 ms 10424 KB Output is correct
12 Correct 2 ms 10424 KB Output is correct
13 Correct 3 ms 10424 KB Output is correct
14 Correct 3 ms 10424 KB Output is correct
15 Correct 2 ms 10424 KB Output is correct
16 Correct 21 ms 10424 KB Output is correct
17 Correct 44 ms 12152 KB Output is correct
18 Correct 70 ms 13840 KB Output is correct
19 Correct 236 ms 15028 KB Output is correct
20 Correct 259 ms 17048 KB Output is correct
21 Correct 45 ms 17668 KB Output is correct
22 Correct 2 ms 17668 KB Output is correct
23 Correct 47 ms 17668 KB Output is correct
24 Correct 67 ms 18776 KB Output is correct
25 Correct 10 ms 18776 KB Output is correct
26 Correct 39 ms 18776 KB Output is correct
27 Correct 63 ms 18776 KB Output is correct
28 Correct 72 ms 19224 KB Output is correct
29 Correct 19 ms 19224 KB Output is correct
30 Correct 4 ms 19224 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 2492 KB Output is correct
2 Correct 11 ms 2492 KB Output is correct
3 Correct 27 ms 2792 KB Output is correct
4 Correct 27 ms 3960 KB Output is correct
5 Correct 35 ms 5368 KB Output is correct
6 Correct 23 ms 5680 KB Output is correct
7 Correct 6 ms 5680 KB Output is correct
8 Correct 23 ms 6568 KB Output is correct
9 Correct 56 ms 10424 KB Output is correct
10 Correct 31 ms 10424 KB Output is correct
11 Correct 2 ms 10424 KB Output is correct
12 Correct 2 ms 10424 KB Output is correct
13 Correct 2 ms 10424 KB Output is correct
14 Correct 3 ms 10424 KB Output is correct
15 Correct 2 ms 10424 KB Output is correct
16 Correct 2 ms 10424 KB Output is correct
17 Correct 2 ms 10424 KB Output is correct
18 Correct 2 ms 10424 KB Output is correct
19 Correct 2 ms 10424 KB Output is correct
20 Correct 2 ms 10424 KB Output is correct
21 Correct 2 ms 10424 KB Output is correct
22 Correct 2 ms 10424 KB Output is correct
23 Correct 3 ms 10424 KB Output is correct
24 Correct 3 ms 10424 KB Output is correct
25 Correct 2 ms 10424 KB Output is correct
26 Correct 21 ms 10424 KB Output is correct
27 Correct 44 ms 12152 KB Output is correct
28 Correct 70 ms 13840 KB Output is correct
29 Correct 236 ms 15028 KB Output is correct
30 Correct 259 ms 17048 KB Output is correct
31 Correct 45 ms 17668 KB Output is correct
32 Correct 2 ms 17668 KB Output is correct
33 Correct 47 ms 17668 KB Output is correct
34 Correct 67 ms 18776 KB Output is correct
35 Correct 10 ms 18776 KB Output is correct
36 Correct 39 ms 18776 KB Output is correct
37 Correct 63 ms 18776 KB Output is correct
38 Correct 72 ms 19224 KB Output is correct
39 Correct 19 ms 19224 KB Output is correct
40 Correct 4 ms 19224 KB Output is correct
41 Correct 194 ms 21244 KB Output is correct
42 Correct 70 ms 23988 KB Output is correct
43 Correct 116 ms 25564 KB Output is correct
44 Correct 71 ms 26004 KB Output is correct
45 Correct 60 ms 27628 KB Output is correct
46 Correct 210 ms 29716 KB Output is correct
47 Correct 53 ms 31448 KB Output is correct
48 Correct 90 ms 31536 KB Output is correct
49 Correct 63 ms 31536 KB Output is correct
50 Correct 885 ms 31716 KB Output is correct
51 Correct 973 ms 31924 KB Output is correct
52 Correct 874 ms 31924 KB Output is correct
53 Correct 930 ms 31924 KB Output is correct
54 Correct 873 ms 31924 KB Output is correct
55 Correct 955 ms 34100 KB Output is correct
56 Correct 834 ms 34108 KB Output is correct

Subtask #6
30.0 / 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 408 KB Output is correct
4 Correct 2 ms 488 KB Output is correct
5 Correct 2 ms 568 KB Output is correct
6 Correct 2 ms 572 KB Output is correct
7 Correct 2 ms 572 KB Output is correct
8 Correct 2 ms 572 KB Output is correct
9 Correct 38 ms 2492 KB Output is correct
10 Correct 11 ms 2492 KB Output is correct
11 Correct 27 ms 2792 KB Output is correct
12 Correct 27 ms 3960 KB Output is correct
13 Correct 35 ms 5368 KB Output is correct
14 Correct 23 ms 5680 KB Output is correct
15 Correct 6 ms 5680 KB Output is correct
16 Correct 23 ms 6568 KB Output is correct
17 Correct 56 ms 10424 KB Output is correct
18 Correct 31 ms 10424 KB Output is correct
19 Correct 2 ms 10424 KB Output is correct
20 Correct 2 ms 10424 KB Output is correct
21 Correct 2 ms 10424 KB Output is correct
22 Correct 3 ms 10424 KB Output is correct
23 Correct 2 ms 10424 KB Output is correct
24 Correct 2 ms 10424 KB Output is correct
25 Correct 2 ms 10424 KB Output is correct
26 Correct 2 ms 10424 KB Output is correct
27 Correct 2 ms 10424 KB Output is correct
28 Correct 2 ms 10424 KB Output is correct
29 Correct 2 ms 10424 KB Output is correct
30 Correct 2 ms 10424 KB Output is correct
31 Correct 3 ms 10424 KB Output is correct
32 Correct 3 ms 10424 KB Output is correct
33 Correct 2 ms 10424 KB Output is correct
34 Correct 21 ms 10424 KB Output is correct
35 Correct 44 ms 12152 KB Output is correct
36 Correct 70 ms 13840 KB Output is correct
37 Correct 236 ms 15028 KB Output is correct
38 Correct 259 ms 17048 KB Output is correct
39 Correct 45 ms 17668 KB Output is correct
40 Correct 2 ms 17668 KB Output is correct
41 Correct 47 ms 17668 KB Output is correct
42 Correct 67 ms 18776 KB Output is correct
43 Correct 10 ms 18776 KB Output is correct
44 Correct 39 ms 18776 KB Output is correct
45 Correct 63 ms 18776 KB Output is correct
46 Correct 72 ms 19224 KB Output is correct
47 Correct 19 ms 19224 KB Output is correct
48 Correct 4 ms 19224 KB Output is correct
49 Correct 194 ms 21244 KB Output is correct
50 Correct 70 ms 23988 KB Output is correct
51 Correct 116 ms 25564 KB Output is correct
52 Correct 71 ms 26004 KB Output is correct
53 Correct 60 ms 27628 KB Output is correct
54 Correct 210 ms 29716 KB Output is correct
55 Correct 53 ms 31448 KB Output is correct
56 Correct 90 ms 31536 KB Output is correct
57 Correct 63 ms 31536 KB Output is correct
58 Correct 885 ms 31716 KB Output is correct
59 Correct 973 ms 31924 KB Output is correct
60 Correct 874 ms 31924 KB Output is correct
61 Correct 930 ms 31924 KB Output is correct
62 Correct 873 ms 31924 KB Output is correct
63 Correct 955 ms 34100 KB Output is correct
64 Correct 834 ms 34108 KB Output is correct
65 Correct 1 ms 34108 KB Output is correct
66 Correct 1 ms 34108 KB Output is correct
67 Correct 1078 ms 34336 KB Output is correct
68 Correct 1084 ms 34336 KB Output is correct
69 Correct 928 ms 34336 KB Output is correct
70 Correct 1024 ms 34336 KB Output is correct
71 Correct 1040 ms 34336 KB Output is correct
72 Correct 990 ms 34336 KB Output is correct
73 Correct 988 ms 34336 KB Output is correct
74 Correct 1108 ms 34336 KB Output is correct
75 Correct 1061 ms 34336 KB Output is correct
76 Correct 1082 ms 34336 KB Output is correct
77 Correct 199 ms 34456 KB Output is correct
78 Correct 69 ms 34456 KB Output is correct
79 Correct 137 ms 34456 KB Output is correct
80 Correct 135 ms 34456 KB Output is correct
81 Correct 132 ms 34456 KB Output is correct
82 Correct 109 ms 34456 KB Output is correct
83 Correct 93 ms 34456 KB Output is correct
84 Correct 677 ms 34536 KB Output is correct
85 Correct 1178 ms 34588 KB Output is correct
86 Correct 4 ms 34588 KB Output is correct
87 Correct 3 ms 34588 KB Output is correct
88 Correct 1166 ms 34588 KB Output is correct
89 Correct 227 ms 34588 KB Output is correct
90 Correct 3 ms 34588 KB Output is correct