Submission #852358

# Submission time Handle Problem Language Result Execution time Memory
852358 2023-09-21T16:24:07 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
70 / 100
300 ms 2128 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 x = i - u % i;
                        int uu = u / i, vv = v / i;
                        if (uu == vv) {
                                cntb[(id ^ uu) & 1] += 1ll * (v - u + 1) * length;
                                return;
                        }
                        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: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 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 600 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 1464 KB Output is correct
2 Correct 4 ms 604 KB Output is correct
3 Correct 10 ms 860 KB Output is correct
4 Correct 11 ms 1112 KB Output is correct
5 Correct 14 ms 1336 KB Output is correct
6 Correct 9 ms 856 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 9 ms 1032 KB Output is correct
9 Correct 24 ms 1896 KB Output is correct
10 Correct 13 ms 1112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 8 ms 856 KB Output is correct
17 Correct 18 ms 1624 KB Output is correct
18 Correct 28 ms 1884 KB Output is correct
19 Correct 62 ms 1844 KB Output is correct
20 Correct 70 ms 2004 KB Output is correct
21 Correct 17 ms 1624 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 15 ms 1112 KB Output is correct
24 Correct 24 ms 1624 KB Output is correct
25 Correct 3 ms 600 KB Output is correct
26 Correct 14 ms 1116 KB Output is correct
27 Correct 27 ms 1512 KB Output is correct
28 Correct 24 ms 1880 KB Output is correct
29 Correct 9 ms 860 KB Output is correct
30 Correct 1 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 1464 KB Output is correct
2 Correct 4 ms 604 KB Output is correct
3 Correct 10 ms 860 KB Output is correct
4 Correct 11 ms 1112 KB Output is correct
5 Correct 14 ms 1336 KB Output is correct
6 Correct 9 ms 856 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 9 ms 1032 KB Output is correct
9 Correct 24 ms 1896 KB Output is correct
10 Correct 13 ms 1112 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 348 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 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 8 ms 856 KB Output is correct
27 Correct 18 ms 1624 KB Output is correct
28 Correct 28 ms 1884 KB Output is correct
29 Correct 62 ms 1844 KB Output is correct
30 Correct 70 ms 2004 KB Output is correct
31 Correct 17 ms 1624 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 15 ms 1112 KB Output is correct
34 Correct 24 ms 1624 KB Output is correct
35 Correct 3 ms 600 KB Output is correct
36 Correct 14 ms 1116 KB Output is correct
37 Correct 27 ms 1512 KB Output is correct
38 Correct 24 ms 1880 KB Output is correct
39 Correct 9 ms 860 KB Output is correct
40 Correct 1 ms 492 KB Output is correct
41 Correct 63 ms 1880 KB Output is correct
42 Correct 29 ms 1880 KB Output is correct
43 Correct 38 ms 1624 KB Output is correct
44 Correct 28 ms 1880 KB Output is correct
45 Correct 32 ms 1880 KB Output is correct
46 Correct 67 ms 1880 KB Output is correct
47 Correct 23 ms 1624 KB Output is correct
48 Correct 33 ms 1624 KB Output is correct
49 Correct 25 ms 1624 KB Output is correct
50 Correct 264 ms 1884 KB Output is correct
51 Correct 280 ms 1972 KB Output is correct
52 Correct 266 ms 1876 KB Output is correct
53 Correct 278 ms 2128 KB Output is correct
54 Correct 259 ms 1832 KB Output is correct
55 Correct 289 ms 1880 KB Output is correct
56 Correct 250 ms 1808 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 600 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 16 ms 1464 KB Output is correct
10 Correct 4 ms 604 KB Output is correct
11 Correct 10 ms 860 KB Output is correct
12 Correct 11 ms 1112 KB Output is correct
13 Correct 14 ms 1336 KB Output is correct
14 Correct 9 ms 856 KB Output is correct
15 Correct 2 ms 348 KB Output is correct
16 Correct 9 ms 1032 KB Output is correct
17 Correct 24 ms 1896 KB Output is correct
18 Correct 13 ms 1112 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 8 ms 856 KB Output is correct
35 Correct 18 ms 1624 KB Output is correct
36 Correct 28 ms 1884 KB Output is correct
37 Correct 62 ms 1844 KB Output is correct
38 Correct 70 ms 2004 KB Output is correct
39 Correct 17 ms 1624 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 15 ms 1112 KB Output is correct
42 Correct 24 ms 1624 KB Output is correct
43 Correct 3 ms 600 KB Output is correct
44 Correct 14 ms 1116 KB Output is correct
45 Correct 27 ms 1512 KB Output is correct
46 Correct 24 ms 1880 KB Output is correct
47 Correct 9 ms 860 KB Output is correct
48 Correct 1 ms 492 KB Output is correct
49 Correct 63 ms 1880 KB Output is correct
50 Correct 29 ms 1880 KB Output is correct
51 Correct 38 ms 1624 KB Output is correct
52 Correct 28 ms 1880 KB Output is correct
53 Correct 32 ms 1880 KB Output is correct
54 Correct 67 ms 1880 KB Output is correct
55 Correct 23 ms 1624 KB Output is correct
56 Correct 33 ms 1624 KB Output is correct
57 Correct 25 ms 1624 KB Output is correct
58 Correct 264 ms 1884 KB Output is correct
59 Correct 280 ms 1972 KB Output is correct
60 Correct 266 ms 1876 KB Output is correct
61 Correct 278 ms 2128 KB Output is correct
62 Correct 259 ms 1832 KB Output is correct
63 Correct 289 ms 1880 KB Output is correct
64 Correct 250 ms 1808 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 1 ms 344 KB Output is correct
67 Incorrect 300 ms 1916 KB Output isn't correct
68 Halted 0 ms 0 KB -