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Submission #518782

# Submission time Handle Problem Language Result Execution time Memory
518782 2022-01-24T15:33:21 Z spike1236 Chessboard (IZhO18_chessboard) C++14
100 / 100
 616 ms 2832 KB 
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define ll long long
#define ld long double
#define all(_v) _v.begin(), _v.end()
#define sz(_v) (int)_v.size()
#define pii pair <int, int>
#define pll pair <ll, ll>
#define veci vector <int>
#define vecll vector <ll>

const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, -1, 1};
const double PI = 3.1415926535897932384626433832795;
const double eps = 1e-9;
const int MOD1 = 1e9 + 7;
const int MOD2 = 998244353;

const int MAXN = 2e5 + 10;
ll n;
ll cnt[MAXN];

ll get(ll r, ll k) {
    ll nr = r - r % k;
    ll bl = nr / k;
    ll cnt = (bl + 1) / 2 * k;
    if(bl % 2 == 0) cnt += r - nr;
    return cnt;
}

void solve() {
    int k;
    cin >> n >> k;
    vecll dv;
    dv.pb(1);
    for(ll i = 2; i * i <= n; ++i) {
        if(n % i == 0) {
            dv.pb(i);
            if(i * i != n) dv.pb(n / i);
        }
    }
    sort(all(dv));
    for(auto i : dv) {
        ll cnt1 = get(n, i);
        cnt[i] = cnt1 * i * (((n / i) + 1) / 2) + (n - cnt1) * i * (n / i - (((n / i) + 1) / 2));
    }
    for(int rect = 1; rect <= k; ++rect) {
        ll x1, y1, x2, y2;
        cin >> x1 >> y1 >> x2 >> y2;
        for(auto i : dv) {
            ll row_cnt[2];
            row_cnt[1] = get(x2, i) - get(x1 - 1, i);
            row_cnt[0] = x2 - x1 + 1 - row_cnt[1];
            ll col_cnt[2];
            col_cnt[1] = get(y2, i) - get(y1 - 1, i);
            col_cnt[0] = y2 - y1 + 1 - col_cnt[1];
            cnt[i] -= row_cnt[1] * col_cnt[1];
            cnt[i] -= row_cnt[0] * col_cnt[0];
            cnt[i] += row_cnt[0] * col_cnt[1];
            cnt[i] += row_cnt[1] * col_cnt[0];
        }
    }
    ll ans = 4e18;
    for(auto i : dv) ans = min(ans, min(cnt[i], n * n - cnt[i]));
    cout << ans;
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int CNT_TESTS = 1;
    ///cin >> CNT_TESTS;
    for(int NUMCASE = 1; NUMCASE <= CNT_TESTS; ++NUMCASE) {
        solve();
        if(NUMCASE != CNT_TESTS) cout << '\n';
    }
    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 320 KB Output is correct
2 Correct 5 ms 204 KB Output is correct
3 Correct 15 ms 324 KB Output is correct
4 Correct 18 ms 324 KB Output is correct
5 Correct 17 ms 320 KB Output is correct
6 Correct 11 ms 320 KB Output is correct
7 Correct 3 ms 204 KB Output is correct
8 Correct 11 ms 204 KB Output is correct
9 Correct 28 ms 204 KB Output is correct
10 Correct 16 ms 204 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 10 ms 204 KB Output is correct
17 Correct 22 ms 320 KB Output is correct
18 Correct 35 ms 204 KB Output is correct
19 Correct 117 ms 304 KB Output is correct
20 Correct 146 ms 304 KB Output is correct
21 Correct 23 ms 312 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 22 ms 204 KB Output is correct
24 Correct 34 ms 204 KB Output is correct
25 Correct 5 ms 204 KB Output is correct
26 Correct 29 ms 204 KB Output is correct
27 Correct 29 ms 308 KB Output is correct
28 Correct 34 ms 324 KB Output is correct
29 Correct 9 ms 324 KB Output is correct
30 Correct 1 ms 204 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 320 KB Output is correct
2 Correct 5 ms 204 KB Output is correct
3 Correct 15 ms 324 KB Output is correct
4 Correct 18 ms 324 KB Output is correct
5 Correct 17 ms 320 KB Output is correct
6 Correct 11 ms 320 KB Output is correct
7 Correct 3 ms 204 KB Output is correct
8 Correct 11 ms 204 KB Output is correct
9 Correct 28 ms 204 KB Output is correct
10 Correct 16 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 10 ms 204 KB Output is correct
27 Correct 22 ms 320 KB Output is correct
28 Correct 35 ms 204 KB Output is correct
29 Correct 117 ms 304 KB Output is correct
30 Correct 146 ms 304 KB Output is correct
31 Correct 23 ms 312 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 22 ms 204 KB Output is correct
34 Correct 34 ms 204 KB Output is correct
35 Correct 5 ms 204 KB Output is correct
36 Correct 29 ms 204 KB Output is correct
37 Correct 29 ms 308 KB Output is correct
38 Correct 34 ms 324 KB Output is correct
39 Correct 9 ms 324 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 113 ms 336 KB Output is correct
42 Correct 38 ms 204 KB Output is correct
43 Correct 64 ms 332 KB Output is correct
44 Correct 41 ms 312 KB Output is correct
45 Correct 31 ms 204 KB Output is correct
46 Correct 123 ms 336 KB Output is correct
47 Correct 34 ms 332 KB Output is correct
48 Correct 65 ms 312 KB Output is correct
49 Correct 36 ms 204 KB Output is correct
50 Correct 541 ms 384 KB Output is correct
51 Correct 584 ms 388 KB Output is correct
52 Correct 540 ms 396 KB Output is correct
53 Correct 594 ms 384 KB Output is correct
54 Correct 540 ms 388 KB Output is correct
55 Correct 611 ms 388 KB Output is correct
56 Correct 530 ms 396 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 20 ms 320 KB Output is correct
10 Correct 5 ms 204 KB Output is correct
11 Correct 15 ms 324 KB Output is correct
12 Correct 18 ms 324 KB Output is correct
13 Correct 17 ms 320 KB Output is correct
14 Correct 11 ms 320 KB Output is correct
15 Correct 3 ms 204 KB Output is correct
16 Correct 11 ms 204 KB Output is correct
17 Correct 28 ms 204 KB Output is correct
18 Correct 16 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 10 ms 204 KB Output is correct
35 Correct 22 ms 320 KB Output is correct
36 Correct 35 ms 204 KB Output is correct
37 Correct 117 ms 304 KB Output is correct
38 Correct 146 ms 304 KB Output is correct
39 Correct 23 ms 312 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 22 ms 204 KB Output is correct
42 Correct 34 ms 204 KB Output is correct
43 Correct 5 ms 204 KB Output is correct
44 Correct 29 ms 204 KB Output is correct
45 Correct 29 ms 308 KB Output is correct
46 Correct 34 ms 324 KB Output is correct
47 Correct 9 ms 324 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 113 ms 336 KB Output is correct
50 Correct 38 ms 204 KB Output is correct
51 Correct 64 ms 332 KB Output is correct
52 Correct 41 ms 312 KB Output is correct
53 Correct 31 ms 204 KB Output is correct
54 Correct 123 ms 336 KB Output is correct
55 Correct 34 ms 332 KB Output is correct
56 Correct 65 ms 312 KB Output is correct
57 Correct 36 ms 204 KB Output is correct
58 Correct 541 ms 384 KB Output is correct
59 Correct 584 ms 388 KB Output is correct
60 Correct 540 ms 396 KB Output is correct
61 Correct 594 ms 384 KB Output is correct
62 Correct 540 ms 388 KB Output is correct
63 Correct 611 ms 388 KB Output is correct
64 Correct 530 ms 396 KB Output is correct
65 Correct 0 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 616 ms 2684 KB Output is correct
68 Correct 572 ms 2616 KB Output is correct
69 Correct 497 ms 2292 KB Output is correct
70 Correct 564 ms 2568 KB Output is correct
71 Correct 555 ms 2428 KB Output is correct
72 Correct 553 ms 2500 KB Output is correct
73 Correct 533 ms 2552 KB Output is correct
74 Correct 559 ms 2552 KB Output is correct
75 Correct 551 ms 2520 KB Output is correct
76 Correct 597 ms 2552 KB Output is correct
77 Correct 96 ms 2612 KB Output is correct
78 Correct 53 ms 2340 KB Output is correct
79 Correct 78 ms 2248 KB Output is correct
80 Correct 70 ms 2364 KB Output is correct
81 Correct 71 ms 2232 KB Output is correct
82 Correct 62 ms 2472 KB Output is correct
83 Correct 45 ms 2348 KB Output is correct
84 Correct 347 ms 2680 KB Output is correct
85 Correct 605 ms 2832 KB Output is correct
86 Correct 1 ms 300 KB Output is correct
87 Correct 1 ms 332 KB Output is correct
88 Correct 610 ms 2788 KB Output is correct
89 Correct 115 ms 776 KB Output is correct
90 Correct 1 ms 336 KB Output is correct