oj.uz

Submission #634871

# Submission time Handle Problem Language Result Execution time Memory
634871 2022-08-25T07:35:45 Z fabijan_cikac Chessboard (IZhO18_chessboard) C++17
100 / 100
 1850 ms 460 KB 
#include <bits/stdc++.h>

using namespace std;

#define ll long long int

ll n, k; vector<ll> v;
ll num[100100];

ll mod(ll x, ll vel){
    if (x % vel == 0 && x != 0)
        return vel;
    return (x % vel);
}

bool black(ll x, ll y, ll vel){
    x -= mod(x, vel); y -= mod(y, vel);
    x /= vel; y /= vel;
    if ((x + y) & 1)
        return 0;
    return 1;
}

ll pref(ll x, ll y, ll vel){
    if (x == 0 || y == 0) return 0;
    ll ans = 0;
    ll x2 = x - mod(x, vel); ll y2 = y - mod(y, vel);
    ll val1 = x2 / vel; ll val2 = y2 / vel;
    ll p = val1 *  val2; ll u = p / 2;
    ans += -(p - u) * vel * vel + u * vel * vel;
    p = val2; u = p / 2; ll pt = 1;
    if (val1 % 2 == 0) pt = -1;
    ans += pt * (p - u) * vel * (x - x2) + -pt * u * vel * (x - x2);
    p = val1; u = p / 2; pt = 1;
    if (val2 % 2 == 0) pt = -1;
    ans += pt * (p - u) * vel * (y - y2) + -pt *  u * vel * (y - y2);
    if (black(x, y, vel))
        ans -= (x - x2) * (y - y2);
    else ans += (x - x2) * (y - y2);
    return ans;
}

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

    cin >> n >> k;
    for (ll i = 1; i < n; ++i){
        if (n % i == 0){
            v.push_back(i);
            ll d = n / i;
            num[i] = (d * d + 1) / 2; num[i] *= i * i;
        }
    }
    for (int i = 0; i < k; ++i){
        ll x1, y1, x2, y2; cin >> x1 >> y1 >> x2 >> y2;
        for (ll vel: v){
            num[vel] += (pref(x2, y2, vel) - pref(x2, y1 - 1, vel) - pref(x1 - 1, y2, vel) + pref(x1 - 1, y1 - 1, vel));
        }
    }
    ll sol = 1e18;
    for (ll x: v) sol = min(abs(sol), min(num[x], n * n - abs(num[x])));
    cout << sol;

    return 0;
}

Subtask #1
8.0 / 8.0

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

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 312 KB Output is correct
2 Correct 7 ms 336 KB Output is correct
3 Correct 23 ms 308 KB Output is correct
4 Correct 18 ms 212 KB Output is correct
5 Correct 25 ms 332 KB Output is correct
6 Correct 16 ms 212 KB Output is correct
7 Correct 4 ms 212 KB Output is correct
8 Correct 16 ms 332 KB Output is correct
9 Correct 40 ms 212 KB Output is correct
10 Correct 22 ms 324 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 1 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 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 1 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 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 17 ms 332 KB Output is correct
17 Correct 32 ms 212 KB Output is correct
18 Correct 63 ms 308 KB Output is correct
19 Correct 338 ms 332 KB Output is correct
20 Correct 371 ms 212 KB Output is correct
21 Correct 32 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 48 ms 316 KB Output is correct
24 Correct 57 ms 212 KB Output is correct
25 Correct 10 ms 332 KB Output is correct
26 Correct 35 ms 212 KB Output is correct
27 Correct 58 ms 212 KB Output is correct
28 Correct 61 ms 312 KB Output is correct
29 Correct 13 ms 336 KB Output is correct
30 Correct 2 ms 340 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 312 KB Output is correct
2 Correct 7 ms 336 KB Output is correct
3 Correct 23 ms 308 KB Output is correct
4 Correct 18 ms 212 KB Output is correct
5 Correct 25 ms 332 KB Output is correct
6 Correct 16 ms 212 KB Output is correct
7 Correct 4 ms 212 KB Output is correct
8 Correct 16 ms 332 KB Output is correct
9 Correct 40 ms 212 KB Output is correct
10 Correct 22 ms 324 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 2 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 17 ms 332 KB Output is correct
27 Correct 32 ms 212 KB Output is correct
28 Correct 63 ms 308 KB Output is correct
29 Correct 338 ms 332 KB Output is correct
30 Correct 371 ms 212 KB Output is correct
31 Correct 32 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 48 ms 316 KB Output is correct
34 Correct 57 ms 212 KB Output is correct
35 Correct 10 ms 332 KB Output is correct
36 Correct 35 ms 212 KB Output is correct
37 Correct 58 ms 212 KB Output is correct
38 Correct 61 ms 312 KB Output is correct
39 Correct 13 ms 336 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 306 ms 348 KB Output is correct
42 Correct 67 ms 316 KB Output is correct
43 Correct 159 ms 340 KB Output is correct
44 Correct 78 ms 316 KB Output is correct
45 Correct 55 ms 312 KB Output is correct
46 Correct 333 ms 348 KB Output is correct
47 Correct 37 ms 212 KB Output is correct
48 Correct 113 ms 340 KB Output is correct
49 Correct 64 ms 308 KB Output is correct
50 Correct 1658 ms 400 KB Output is correct
51 Correct 1770 ms 396 KB Output is correct
52 Correct 1648 ms 404 KB Output is correct
53 Correct 1758 ms 400 KB Output is correct
54 Correct 1633 ms 400 KB Output is correct
55 Correct 1820 ms 404 KB Output is correct
56 Correct 1571 ms 400 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 32 ms 312 KB Output is correct
10 Correct 7 ms 336 KB Output is correct
11 Correct 23 ms 308 KB Output is correct
12 Correct 18 ms 212 KB Output is correct
13 Correct 25 ms 332 KB Output is correct
14 Correct 16 ms 212 KB Output is correct
15 Correct 4 ms 212 KB Output is correct
16 Correct 16 ms 332 KB Output is correct
17 Correct 40 ms 212 KB Output is correct
18 Correct 22 ms 324 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 17 ms 332 KB Output is correct
35 Correct 32 ms 212 KB Output is correct
36 Correct 63 ms 308 KB Output is correct
37 Correct 338 ms 332 KB Output is correct
38 Correct 371 ms 212 KB Output is correct
39 Correct 32 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 48 ms 316 KB Output is correct
42 Correct 57 ms 212 KB Output is correct
43 Correct 10 ms 332 KB Output is correct
44 Correct 35 ms 212 KB Output is correct
45 Correct 58 ms 212 KB Output is correct
46 Correct 61 ms 312 KB Output is correct
47 Correct 13 ms 336 KB Output is correct
48 Correct 2 ms 340 KB Output is correct
49 Correct 306 ms 348 KB Output is correct
50 Correct 67 ms 316 KB Output is correct
51 Correct 159 ms 340 KB Output is correct
52 Correct 78 ms 316 KB Output is correct
53 Correct 55 ms 312 KB Output is correct
54 Correct 333 ms 348 KB Output is correct
55 Correct 37 ms 212 KB Output is correct
56 Correct 113 ms 340 KB Output is correct
57 Correct 64 ms 308 KB Output is correct
58 Correct 1658 ms 400 KB Output is correct
59 Correct 1770 ms 396 KB Output is correct
60 Correct 1648 ms 404 KB Output is correct
61 Correct 1758 ms 400 KB Output is correct
62 Correct 1633 ms 400 KB Output is correct
63 Correct 1820 ms 404 KB Output is correct
64 Correct 1571 ms 400 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 1695 ms 408 KB Output is correct
68 Correct 1702 ms 400 KB Output is correct
69 Correct 1485 ms 396 KB Output is correct
70 Correct 1687 ms 404 KB Output is correct
71 Correct 1655 ms 400 KB Output is correct
72 Correct 1612 ms 400 KB Output is correct
73 Correct 1551 ms 400 KB Output is correct
74 Correct 1694 ms 400 KB Output is correct
75 Correct 1643 ms 400 KB Output is correct
76 Correct 1761 ms 396 KB Output is correct
77 Correct 241 ms 340 KB Output is correct
78 Correct 69 ms 332 KB Output is correct
79 Correct 161 ms 340 KB Output is correct
80 Correct 172 ms 212 KB Output is correct
81 Correct 153 ms 340 KB Output is correct
82 Correct 123 ms 212 KB Output is correct
83 Correct 87 ms 212 KB Output is correct
84 Correct 1010 ms 460 KB Output is correct
85 Correct 1781 ms 400 KB Output is correct
86 Correct 2 ms 340 KB Output is correct
87 Correct 1 ms 340 KB Output is correct
88 Correct 1850 ms 396 KB Output is correct
89 Correct 358 ms 404 KB Output is correct
90 Correct 1 ms 340 KB Output is correct