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Submission #706574

# Submission time Handle Problem Language Result Execution time Memory
706574 2023-03-07T05:13:07 Z LittleCube Chessboard (IZhO18_chessboard) C++14
100 / 100
 690 ms 5824 KB 
#include <bits/stdc++.h>
#define ll long long
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;

ll N, K, l[100005], d[100005], r[100005], u[100005];
ll ans;

pll operator+(pll p1, pll p2)
{
    return pll(p1.F + p2.F, p1.S + p2.S);
}

bool isB(int x, int y, int M)
{
    return (x / M + y / M) % 2;
}

pll calcCorner(ll L, ll R, ll D, ll U, int M)
{
    if (isB(L, D, M))
        return pll((R - L) * (U - D), 0);
    else
        return pll(0, (R - L) * (U - D));
}

pll calcColumn(ll L, ll R, ll D, ll U, int M)
{
    pll res;
    ll blocks = (U - D) / M;
    if (blocks % 2 == 1)
        res = pll((R - L) * (blocks / 2 + 1) * M, (R - L) * (blocks / 2) * M);
    else
        res = pll((R - L) * (blocks / 2) * M, (R - L) * (blocks / 2) * M);
    if (!isB(L, D, M) && blocks % 2 == 1)
        swap(res.F, res.S);
    return res;
}

pll calcBlock(ll L, ll R, ll D, ll U, ll M)
{
    pll res;
    ll blocks = (R - L) * (U - D) / M / M;
    if (blocks % 2 == 1)
        res = pll(M * M * (blocks / 2 + 1), M * M * (blocks / 2));
    else
        res = pll(M * M * (blocks / 2), M * M * (blocks / 2));
    if (!isB(L, D, M) && blocks % 2 == 1)
        swap(res.F, res.S);
    return res;
}

void solve(int M)
{
    pll res = pll(0, 0), board = calcBlock(0, N, 0, N, M);
    for (int i = 1; i <= K; i++)
    {
        ll mL = (l[i] + M - 1) / M * M,
           mR = r[i] / M * M,
           mD = (d[i] + M - 1) / M * M,
           mU = u[i] / M * M;
        pll cur;
        if (mL > mR && mD > mU)
            cur = calcCorner(l[i], r[i], d[i], u[i], M);
        else if (mL > mR)
            cur = calcCorner(l[i], r[i], d[i], mD, M) +
                  calcColumn(l[i], r[i], mD, mU, M) +
                  calcCorner(l[i], r[i], mU, u[i], M);
        else if (mD > mU)
            cur = calcCorner(l[i], mL, d[i], u[i], M) +
                  calcColumn(d[i], u[i], mL, mR, M) +
                  calcCorner(mR, r[i], d[i], u[i], M);
        else
            cur = calcCorner(l[i], mL, d[i], mD, M) + calcColumn(d[i], mD, mL, mR, M) + calcCorner(mR, r[i], d[i], mD, M) +
                  calcColumn(l[i], mL, mD, mU, M) + calcBlock(mL, mR, mD, mU, M) + calcColumn(mR, r[i], mD, mU, M) +
                  calcCorner(l[i], mL, mU, u[i], M) + calcColumn(mU, u[i], mL, mR, M) + calcCorner(mR, r[i], mU, u[i], M);
        res = res + cur;
    }
    // cerr << M << ' ' << board.F << ' ' << board.S << '\n';
    ans = min({ans, board.F - res.F + res.S, res.F + board.S - res.S});
}

signed main()
{
    cin >> N >> K;
    ans = N * N;
    for (int i = 1; i <= K; i++)
    {
        cin >> l[i] >> d[i] >> r[i] >> u[i];
        l[i]--, d[i]--;
    }
    for (int i = 1; i < N; i++)
        if (N % i == 0)
            solve(i);
    cout << ans << '\n';
}

/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 2244 KB Output is correct
2 Correct 18 ms 724 KB Output is correct
3 Correct 46 ms 1484 KB Output is correct
4 Correct 45 ms 1732 KB Output is correct
5 Correct 72 ms 1980 KB Output is correct
6 Correct 40 ms 1356 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 40 ms 1392 KB Output is correct
9 Correct 101 ms 3036 KB Output is correct
10 Correct 56 ms 1804 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 28 ms 1184 KB Output is correct
17 Correct 76 ms 2852 KB Output is correct
18 Correct 101 ms 3392 KB Output is correct
19 Correct 184 ms 3040 KB Output is correct
20 Correct 197 ms 3360 KB Output is correct
21 Correct 75 ms 2832 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 51 ms 1612 KB Output is correct
24 Correct 88 ms 3020 KB Output is correct
25 Correct 11 ms 468 KB Output is correct
26 Correct 57 ms 2136 KB Output is correct
27 Correct 77 ms 2328 KB Output is correct
28 Correct 97 ms 3284 KB Output is correct
29 Correct 30 ms 1228 KB Output is correct
30 Correct 3 ms 340 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 2244 KB Output is correct
2 Correct 18 ms 724 KB Output is correct
3 Correct 46 ms 1484 KB Output is correct
4 Correct 45 ms 1732 KB Output is correct
5 Correct 72 ms 1980 KB Output is correct
6 Correct 40 ms 1356 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 40 ms 1392 KB Output is correct
9 Correct 101 ms 3036 KB Output is correct
10 Correct 56 ms 1804 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 28 ms 1184 KB Output is correct
27 Correct 76 ms 2852 KB Output is correct
28 Correct 101 ms 3392 KB Output is correct
29 Correct 184 ms 3040 KB Output is correct
30 Correct 197 ms 3360 KB Output is correct
31 Correct 75 ms 2832 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 51 ms 1612 KB Output is correct
34 Correct 88 ms 3020 KB Output is correct
35 Correct 11 ms 468 KB Output is correct
36 Correct 57 ms 2136 KB Output is correct
37 Correct 77 ms 2328 KB Output is correct
38 Correct 97 ms 3284 KB Output is correct
39 Correct 30 ms 1228 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 180 ms 2876 KB Output is correct
42 Correct 116 ms 3220 KB Output is correct
43 Correct 135 ms 2972 KB Output is correct
44 Correct 117 ms 3072 KB Output is correct
45 Correct 114 ms 3384 KB Output is correct
46 Correct 202 ms 3280 KB Output is correct
47 Correct 98 ms 2944 KB Output is correct
48 Correct 121 ms 3024 KB Output is correct
49 Correct 105 ms 2912 KB Output is correct
50 Correct 560 ms 3252 KB Output is correct
51 Correct 593 ms 3332 KB Output is correct
52 Correct 559 ms 3072 KB Output is correct
53 Correct 597 ms 3412 KB Output is correct
54 Correct 549 ms 3020 KB Output is correct
55 Correct 615 ms 3388 KB Output is correct
56 Correct 534 ms 3028 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 71 ms 2244 KB Output is correct
10 Correct 18 ms 724 KB Output is correct
11 Correct 46 ms 1484 KB Output is correct
12 Correct 45 ms 1732 KB Output is correct
13 Correct 72 ms 1980 KB Output is correct
14 Correct 40 ms 1356 KB Output is correct
15 Correct 8 ms 468 KB Output is correct
16 Correct 40 ms 1392 KB Output is correct
17 Correct 101 ms 3036 KB Output is correct
18 Correct 56 ms 1804 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 28 ms 1184 KB Output is correct
35 Correct 76 ms 2852 KB Output is correct
36 Correct 101 ms 3392 KB Output is correct
37 Correct 184 ms 3040 KB Output is correct
38 Correct 197 ms 3360 KB Output is correct
39 Correct 75 ms 2832 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 51 ms 1612 KB Output is correct
42 Correct 88 ms 3020 KB Output is correct
43 Correct 11 ms 468 KB Output is correct
44 Correct 57 ms 2136 KB Output is correct
45 Correct 77 ms 2328 KB Output is correct
46 Correct 97 ms 3284 KB Output is correct
47 Correct 30 ms 1228 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 180 ms 2876 KB Output is correct
50 Correct 116 ms 3220 KB Output is correct
51 Correct 135 ms 2972 KB Output is correct
52 Correct 117 ms 3072 KB Output is correct
53 Correct 114 ms 3384 KB Output is correct
54 Correct 202 ms 3280 KB Output is correct
55 Correct 98 ms 2944 KB Output is correct
56 Correct 121 ms 3024 KB Output is correct
57 Correct 105 ms 2912 KB Output is correct
58 Correct 560 ms 3252 KB Output is correct
59 Correct 593 ms 3332 KB Output is correct
60 Correct 559 ms 3072 KB Output is correct
61 Correct 597 ms 3412 KB Output is correct
62 Correct 549 ms 3020 KB Output is correct
63 Correct 615 ms 3388 KB Output is correct
64 Correct 534 ms 3028 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 650 ms 3348 KB Output is correct
68 Correct 643 ms 5524 KB Output is correct
69 Correct 558 ms 4772 KB Output is correct
70 Correct 606 ms 5196 KB Output is correct
71 Correct 611 ms 5204 KB Output is correct
72 Correct 603 ms 5196 KB Output is correct
73 Correct 594 ms 4996 KB Output is correct
74 Correct 639 ms 5324 KB Output is correct
75 Correct 619 ms 5276 KB Output is correct
76 Correct 649 ms 5432 KB Output is correct
77 Correct 181 ms 5712 KB Output is correct
78 Correct 109 ms 5316 KB Output is correct
79 Correct 146 ms 5052 KB Output is correct
80 Correct 152 ms 5164 KB Output is correct
81 Correct 136 ms 4780 KB Output is correct
82 Correct 139 ms 5368 KB Output is correct
83 Correct 123 ms 5148 KB Output is correct
84 Correct 429 ms 5624 KB Output is correct
85 Correct 680 ms 5824 KB Output is correct
86 Correct 2 ms 212 KB Output is correct
87 Correct 1 ms 212 KB Output is correct
88 Correct 690 ms 5760 KB Output is correct
89 Correct 138 ms 1236 KB Output is correct
90 Correct 1 ms 212 KB Output is correct