Submission #852350

# Submission time Handle Problem Language Result Execution time Memory
852350 2023-09-21T16:19:05 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
70 / 100
290 ms 5712 KB
#include <bits/stdc++.h>
using namespace std;

int32_t main() {
        ios_base::sync_with_stdio(0);
        cin.tie(0);
        int n, k;
        cin >> n >> k;
        vector<int> a(k), b(k), aa(k), bb(k);
        for (int i = 0; i < k; i++) {
                cin >> a[i] >> b[i] >> aa[i] >> bb[i];
                a[i]--, b[i]--, aa[i]--, bb[i]--;
        }

        int64_t res = 1ll * n * n;
        vector<int64_t> cntb(2, 0);
        vector<int64_t> need(2, 0);
        for (int i = 1; i < n; i++) {
                if (n % i) continue;

                vector<int64_t> cntb(2, 0);
                vector<int64_t> need(2, 0);

                need[0] = 1ll * (n / i) * (n / i);
                need[1] = need[0] / 2;
                need[0] -= need[1];
                need[0] *= 1ll * i * i;
                need[1] *= 1ll * i * i;

                auto add_same = [&](int id, int u, int v, int length) {
                        int x = i - u % i;
                        int uu = u / i, vv = v / i;
                        assert(uu < vv);
                        cntb[(uu ^ id) & 1] += 1ll * length * x;
                        int y = v % i + 1;
                        cntb[(vv ^ id) & 1] += 1ll * length * y;
                        uu++, vv--;
                        if (uu <= vv) {
                                int64_t addu = 1ll * length * ((vv - uu + 1) / 2 + (((uu ^ vv) & 1) == 0)) * i;
                                cntb[(uu ^ vv) & 1] += addu;
                                cntb[(uu ^ vv) & 1 ^ 1] += 1ll * (vv - uu + 1) * length * i - addu;
                        }
                };

                auto add = [&](int x, int y, int u, int v) {
                        int up = x / i;
                        int dn = u / i;
                        int lt = y / i;
                        int rt = v / i;
                        if (up == dn) {
                                if (lt == rt) {
                                        cntb[(up ^ lt) & 1] += 1ll * (u - x + 1) * (v - y + 1);
                                } else {
                                        add_same(up, y, v, u - x + 1);
                                }
                        } else {
                                if (lt == rt) {
                                        add_same(lt, x, u, y - v + 1);
                                } else {
                                        add_same(up, y, v, i - x % i);
                                        add_same(dn, y, v, y % i + 1);
                                        add_same(lt, x + (i - x % i), y - (y % i + 1), i - u % i);
                                        add_same(rt, x + (i - x % i), y - (y % i + 1), v % i + 1);
                                        up++, dn--, lt++, rt--;
                                        int64_t p = 1ll * (up - dn + 1) * (rt - lt + 1);
                                        int64_t q = p / 2;
                                        p -= q;
                                        cntb[(up ^ lt) & 1] += 1ll * p * i * i;
                                        cntb[(up + lt) & 1 & 1] += 1ll * q * i * i;
                                }
                        }
                };

                for (int j = 0; j < k; j++) add(a[j], b[j], aa[j], bb[j]);

                /// (0, 0) white
                res = min(res, cntb[0] + need[1] - cntb[1]);
                res = min(res, need[0] - cntb[0] + cntb[1]);
        }

        cout << res;
}

Compilation message

chessboard.cpp: In lambda function:
chessboard.cpp:41:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   41 |                                 cntb[(uu ^ vv) & 1 ^ 1] += 1ll * (vv - uu + 1) * length * i - addu;
      |                                      ~~~~~~~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 2720 KB Output is correct
2 Correct 5 ms 1060 KB Output is correct
3 Correct 11 ms 1880 KB Output is correct
4 Correct 12 ms 1880 KB Output is correct
5 Correct 15 ms 2596 KB Output is correct
6 Correct 10 ms 1624 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 10 ms 1624 KB Output is correct
9 Correct 26 ms 4184 KB Output is correct
10 Correct 14 ms 2392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 7 ms 1112 KB Output is correct
17 Correct 18 ms 3160 KB Output is correct
18 Correct 25 ms 3416 KB Output is correct
19 Correct 63 ms 3164 KB Output is correct
20 Correct 70 ms 3416 KB Output is correct
21 Correct 18 ms 2896 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 15 ms 1624 KB Output is correct
24 Correct 23 ms 3160 KB Output is correct
25 Correct 3 ms 600 KB Output is correct
26 Correct 16 ms 2260 KB Output is correct
27 Correct 21 ms 2392 KB Output is correct
28 Correct 25 ms 3360 KB Output is correct
29 Correct 8 ms 1528 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 2720 KB Output is correct
2 Correct 5 ms 1060 KB Output is correct
3 Correct 11 ms 1880 KB Output is correct
4 Correct 12 ms 1880 KB Output is correct
5 Correct 15 ms 2596 KB Output is correct
6 Correct 10 ms 1624 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 10 ms 1624 KB Output is correct
9 Correct 26 ms 4184 KB Output is correct
10 Correct 14 ms 2392 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 7 ms 1112 KB Output is correct
27 Correct 18 ms 3160 KB Output is correct
28 Correct 25 ms 3416 KB Output is correct
29 Correct 63 ms 3164 KB Output is correct
30 Correct 70 ms 3416 KB Output is correct
31 Correct 18 ms 2896 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 15 ms 1624 KB Output is correct
34 Correct 23 ms 3160 KB Output is correct
35 Correct 3 ms 600 KB Output is correct
36 Correct 16 ms 2260 KB Output is correct
37 Correct 21 ms 2392 KB Output is correct
38 Correct 25 ms 3360 KB Output is correct
39 Correct 8 ms 1528 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 60 ms 3724 KB Output is correct
42 Correct 29 ms 4184 KB Output is correct
43 Correct 41 ms 3676 KB Output is correct
44 Correct 28 ms 3920 KB Output is correct
45 Correct 28 ms 4176 KB Output is correct
46 Correct 67 ms 4124 KB Output is correct
47 Correct 23 ms 3676 KB Output is correct
48 Correct 35 ms 3856 KB Output is correct
49 Correct 26 ms 3660 KB Output is correct
50 Correct 263 ms 3920 KB Output is correct
51 Correct 281 ms 4288 KB Output is correct
52 Correct 262 ms 4004 KB Output is correct
53 Correct 279 ms 4248 KB Output is correct
54 Correct 258 ms 3920 KB Output is correct
55 Correct 290 ms 4404 KB Output is correct
56 Correct 251 ms 3872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 17 ms 2720 KB Output is correct
10 Correct 5 ms 1060 KB Output is correct
11 Correct 11 ms 1880 KB Output is correct
12 Correct 12 ms 1880 KB Output is correct
13 Correct 15 ms 2596 KB Output is correct
14 Correct 10 ms 1624 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 10 ms 1624 KB Output is correct
17 Correct 26 ms 4184 KB Output is correct
18 Correct 14 ms 2392 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 7 ms 1112 KB Output is correct
35 Correct 18 ms 3160 KB Output is correct
36 Correct 25 ms 3416 KB Output is correct
37 Correct 63 ms 3164 KB Output is correct
38 Correct 70 ms 3416 KB Output is correct
39 Correct 18 ms 2896 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 15 ms 1624 KB Output is correct
42 Correct 23 ms 3160 KB Output is correct
43 Correct 3 ms 600 KB Output is correct
44 Correct 16 ms 2260 KB Output is correct
45 Correct 21 ms 2392 KB Output is correct
46 Correct 25 ms 3360 KB Output is correct
47 Correct 8 ms 1528 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 60 ms 3724 KB Output is correct
50 Correct 29 ms 4184 KB Output is correct
51 Correct 41 ms 3676 KB Output is correct
52 Correct 28 ms 3920 KB Output is correct
53 Correct 28 ms 4176 KB Output is correct
54 Correct 67 ms 4124 KB Output is correct
55 Correct 23 ms 3676 KB Output is correct
56 Correct 35 ms 3856 KB Output is correct
57 Correct 26 ms 3660 KB Output is correct
58 Correct 263 ms 3920 KB Output is correct
59 Correct 281 ms 4288 KB Output is correct
60 Correct 262 ms 4004 KB Output is correct
61 Correct 279 ms 4248 KB Output is correct
62 Correct 258 ms 3920 KB Output is correct
63 Correct 290 ms 4404 KB Output is correct
64 Correct 251 ms 3872 KB Output is correct
65 Correct 1 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Runtime error 23 ms 5712 KB Execution killed with signal 6
68 Halted 0 ms 0 KB -