oj.uz

Submission #852370

# Submission time Handle Problem Language Result Execution time Memory
852370 2023-09-21T16:34:01 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
70 / 100
 299 ms 2136 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), u - (u % i + 1), i - y % i);
                                        add_same(rt, x + (i - x % i), u - (u % 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;
      |                                      ~~~~~~~~~~^~~
chessboard.cpp: In lambda function:
chessboard.cpp:74:56: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   74 |                                         cntb[(up ^ lt) & 1 ^ 1] += 1ll * q * i * i;
      |                                              ~~~~~~~~~~^~~

Subtask #1
8.0 / 8.0

# 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 600 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1368 KB Output is correct
2 Correct 5 ms 600 KB Output is correct
3 Correct 11 ms 860 KB Output is correct
4 Correct 11 ms 1116 KB Output is correct
5 Correct 14 ms 1112 KB Output is correct
6 Correct 9 ms 1016 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 10 ms 1032 KB Output is correct
9 Correct 24 ms 1880 KB Output is correct
10 Correct 14 ms 1112 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 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 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 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 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 544 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 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 1 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 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 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 544 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 19 ms 1628 KB Output is correct
18 Correct 25 ms 2136 KB Output is correct
19 Correct 65 ms 1880 KB Output is correct
20 Correct 70 ms 2000 KB Output is correct
21 Correct 17 ms 1624 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 14 ms 1116 KB Output is correct
24 Correct 24 ms 1628 KB Output is correct
25 Correct 3 ms 344 KB Output is correct
26 Correct 15 ms 1368 KB Output is correct
27 Correct 20 ms 1368 KB Output is correct
28 Correct 25 ms 1880 KB Output is correct
29 Correct 7 ms 856 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1368 KB Output is correct
2 Correct 5 ms 600 KB Output is correct
3 Correct 11 ms 860 KB Output is correct
4 Correct 11 ms 1116 KB Output is correct
5 Correct 14 ms 1112 KB Output is correct
6 Correct 9 ms 1016 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 10 ms 1032 KB Output is correct
9 Correct 24 ms 1880 KB Output is correct
10 Correct 14 ms 1112 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 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 1 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 344 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 344 KB Output is correct
23 Correct 1 ms 544 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 19 ms 1628 KB Output is correct
28 Correct 25 ms 2136 KB Output is correct
29 Correct 65 ms 1880 KB Output is correct
30 Correct 70 ms 2000 KB Output is correct
31 Correct 17 ms 1624 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 14 ms 1116 KB Output is correct
34 Correct 24 ms 1628 KB Output is correct
35 Correct 3 ms 344 KB Output is correct
36 Correct 15 ms 1368 KB Output is correct
37 Correct 20 ms 1368 KB Output is correct
38 Correct 25 ms 1880 KB Output is correct
39 Correct 7 ms 856 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 60 ms 1740 KB Output is correct
42 Correct 28 ms 1944 KB Output is correct
43 Correct 39 ms 1628 KB Output is correct
44 Correct 27 ms 1880 KB Output is correct
45 Correct 27 ms 2040 KB Output is correct
46 Correct 68 ms 1904 KB Output is correct
47 Correct 22 ms 1624 KB Output is correct
48 Correct 36 ms 1624 KB Output is correct
49 Correct 25 ms 1624 KB Output is correct
50 Correct 262 ms 1880 KB Output is correct
51 Correct 280 ms 1880 KB Output is correct
52 Correct 261 ms 1624 KB Output is correct
53 Correct 279 ms 1880 KB Output is correct
54 Correct 257 ms 1628 KB Output is correct
55 Correct 292 ms 1880 KB Output is correct
56 Correct 248 ms 1624 KB Output is correct

Subtask #6
0 / 30.0

# 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 600 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 17 ms 1368 KB Output is correct
10 Correct 5 ms 600 KB Output is correct
11 Correct 11 ms 860 KB Output is correct
12 Correct 11 ms 1116 KB Output is correct
13 Correct 14 ms 1112 KB Output is correct
14 Correct 9 ms 1016 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 10 ms 1032 KB Output is correct
17 Correct 24 ms 1880 KB Output is correct
18 Correct 14 ms 1112 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 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 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 344 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 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 544 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 19 ms 1628 KB Output is correct
36 Correct 25 ms 2136 KB Output is correct
37 Correct 65 ms 1880 KB Output is correct
38 Correct 70 ms 2000 KB Output is correct
39 Correct 17 ms 1624 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 14 ms 1116 KB Output is correct
42 Correct 24 ms 1628 KB Output is correct
43 Correct 3 ms 344 KB Output is correct
44 Correct 15 ms 1368 KB Output is correct
45 Correct 20 ms 1368 KB Output is correct
46 Correct 25 ms 1880 KB Output is correct
47 Correct 7 ms 856 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 60 ms 1740 KB Output is correct
50 Correct 28 ms 1944 KB Output is correct
51 Correct 39 ms 1628 KB Output is correct
52 Correct 27 ms 1880 KB Output is correct
53 Correct 27 ms 2040 KB Output is correct
54 Correct 68 ms 1904 KB Output is correct
55 Correct 22 ms 1624 KB Output is correct
56 Correct 36 ms 1624 KB Output is correct
57 Correct 25 ms 1624 KB Output is correct
58 Correct 262 ms 1880 KB Output is correct
59 Correct 280 ms 1880 KB Output is correct
60 Correct 261 ms 1624 KB Output is correct
61 Correct 279 ms 1880 KB Output is correct
62 Correct 257 ms 1628 KB Output is correct
63 Correct 292 ms 1880 KB Output is correct
64 Correct 248 ms 1624 KB Output is correct
65 Correct 1 ms 600 KB Output is correct
66 Correct 0 ms 344 KB Output is correct
67 Incorrect 299 ms 1880 KB Output isn't correct
68 Halted 0 ms 0 KB -