Submission #852367

# Submission time Handle Problem Language Result Execution time Memory
852367 2023-09-21T16:31:11 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
70 / 100
301 ms 2016 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) {
                        if (u > v) return;
                        int uu = u / i, vv = v / i;
                        if (uu == vv) {
                                cntb[(id ^ uu) & 1] += 1ll * (v - u + 1) * length;
                                return;
                        }
                        assert(uu < vv);
                        int x = i - u % i;
                        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, v - y + 1);
                                } else {
                                        add_same(up, y, v, i - x % i);
                                        add_same(dn, y, v, u % i + 1);
                                        add_same(lt, x + (i - x % i), v - (v % i + 1), i - u % i);
                                        add_same(rt, x + (i - x % i), v - (v % i + 1), y % 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:46:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   46 |                                 cntb[(uu ^ vv) & 1 ^ 1] += 1ll * (vv - uu + 1) * length * i - addu;
      |                                      ~~~~~~~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 544 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 1372 KB Output is correct
2 Correct 6 ms 600 KB Output is correct
3 Correct 11 ms 856 KB Output is correct
4 Correct 12 ms 1116 KB Output is correct
5 Correct 17 ms 1332 KB Output is correct
6 Correct 10 ms 856 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 10 ms 856 KB Output is correct
9 Correct 23 ms 1880 KB Output is correct
10 Correct 13 ms 1112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 7 ms 856 KB Output is correct
17 Correct 18 ms 1796 KB Output is correct
18 Correct 25 ms 1884 KB Output is correct
19 Correct 63 ms 1836 KB Output is correct
20 Correct 69 ms 1880 KB Output is correct
21 Correct 20 ms 1624 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 14 ms 1112 KB Output is correct
24 Correct 23 ms 1624 KB Output is correct
25 Correct 3 ms 600 KB Output is correct
26 Correct 15 ms 1116 KB Output is correct
27 Correct 20 ms 1368 KB Output is correct
28 Correct 24 ms 1880 KB Output is correct
29 Correct 8 ms 856 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 1372 KB Output is correct
2 Correct 6 ms 600 KB Output is correct
3 Correct 11 ms 856 KB Output is correct
4 Correct 12 ms 1116 KB Output is correct
5 Correct 17 ms 1332 KB Output is correct
6 Correct 10 ms 856 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 10 ms 856 KB Output is correct
9 Correct 23 ms 1880 KB Output is correct
10 Correct 13 ms 1112 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 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 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 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 0 ms 600 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 7 ms 856 KB Output is correct
27 Correct 18 ms 1796 KB Output is correct
28 Correct 25 ms 1884 KB Output is correct
29 Correct 63 ms 1836 KB Output is correct
30 Correct 69 ms 1880 KB Output is correct
31 Correct 20 ms 1624 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 14 ms 1112 KB Output is correct
34 Correct 23 ms 1624 KB Output is correct
35 Correct 3 ms 600 KB Output is correct
36 Correct 15 ms 1116 KB Output is correct
37 Correct 20 ms 1368 KB Output is correct
38 Correct 24 ms 1880 KB Output is correct
39 Correct 8 ms 856 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 60 ms 1624 KB Output is correct
42 Correct 28 ms 1880 KB Output is correct
43 Correct 41 ms 1628 KB Output is correct
44 Correct 28 ms 1880 KB Output is correct
45 Correct 25 ms 1880 KB Output is correct
46 Correct 67 ms 1884 KB Output is correct
47 Correct 22 ms 1624 KB Output is correct
48 Correct 41 ms 1624 KB Output is correct
49 Correct 26 ms 1624 KB Output is correct
50 Correct 263 ms 1880 KB Output is correct
51 Correct 283 ms 1880 KB Output is correct
52 Correct 263 ms 1872 KB Output is correct
53 Correct 278 ms 1880 KB Output is correct
54 Correct 259 ms 1852 KB Output is correct
55 Correct 289 ms 2016 KB Output is correct
56 Correct 251 ms 1808 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 544 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 18 ms 1372 KB Output is correct
10 Correct 6 ms 600 KB Output is correct
11 Correct 11 ms 856 KB Output is correct
12 Correct 12 ms 1116 KB Output is correct
13 Correct 17 ms 1332 KB Output is correct
14 Correct 10 ms 856 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 10 ms 856 KB Output is correct
17 Correct 23 ms 1880 KB Output is correct
18 Correct 13 ms 1112 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 0 ms 600 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 7 ms 856 KB Output is correct
35 Correct 18 ms 1796 KB Output is correct
36 Correct 25 ms 1884 KB Output is correct
37 Correct 63 ms 1836 KB Output is correct
38 Correct 69 ms 1880 KB Output is correct
39 Correct 20 ms 1624 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 14 ms 1112 KB Output is correct
42 Correct 23 ms 1624 KB Output is correct
43 Correct 3 ms 600 KB Output is correct
44 Correct 15 ms 1116 KB Output is correct
45 Correct 20 ms 1368 KB Output is correct
46 Correct 24 ms 1880 KB Output is correct
47 Correct 8 ms 856 KB Output is correct
48 Correct 1 ms 344 KB Output is correct
49 Correct 60 ms 1624 KB Output is correct
50 Correct 28 ms 1880 KB Output is correct
51 Correct 41 ms 1628 KB Output is correct
52 Correct 28 ms 1880 KB Output is correct
53 Correct 25 ms 1880 KB Output is correct
54 Correct 67 ms 1884 KB Output is correct
55 Correct 22 ms 1624 KB Output is correct
56 Correct 41 ms 1624 KB Output is correct
57 Correct 26 ms 1624 KB Output is correct
58 Correct 263 ms 1880 KB Output is correct
59 Correct 283 ms 1880 KB Output is correct
60 Correct 263 ms 1872 KB Output is correct
61 Correct 278 ms 1880 KB Output is correct
62 Correct 259 ms 1852 KB Output is correct
63 Correct 289 ms 2016 KB Output is correct
64 Correct 251 ms 1808 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 1 ms 544 KB Output is correct
67 Incorrect 301 ms 1920 KB Output isn't correct
68 Halted 0 ms 0 KB -