Submission #747082

# Submission time Handle Problem Language Result Execution time Memory
747082 2023-05-23T15:23:00 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
456 ms 5720 KB
#include <iostream>
#include <vector>
#define int long long

using namespace std;

int a[1005][1005];
int spw[1005][1005], spb[1005][1005];
int x1[100005], x2[100005], y1[100005], y2[100005];

void add(int x, int y, int val, int &s1, int &s2)
{
    if((x + y) % 2 == 0)
        s1 += val;
    else
        s2 += val;
    return;
}

signed main()
{
    int s1 = 0, s2 = 0;
    int n, k;
    cin>>n>>k;

    vector<int> divs;
    for(int i = 1; i * i <= n; i++)
        if(n % i == 0)
        {
            divs.push_back(i);
            if(i * i != n && i != 1)
                divs.push_back(n / i);
        }

    for(int i = 1; i <= k; i++)
        cin>>x1[i]>>y1[i]>>x2[i]>>y2[i];

    int minn = n * n;
    for(auto d : divs)
    {
        int s1 = 0, s2 = 0;
        for(int i = 1; i <= k; i++)
        {
            int cx1 = (x1[i] - 1) / d + 1;
            int cy1 = (y1[i] - 1) / d + 1;
            int cx2 = (x2[i] - 1) / d + 1;
            int cy2 = (y2[i] - 1) / d + 1;

            if(cx1 == cx2 && cy1 == cy2)
            {
                int tt = (cy2 - cy1 + 1) * (cx2 - cx1 + 1);
                add(cx1, cy1, tt, s1, s2);
            }
            else if(cx1 == cx2 && cy1 < cy2)
            {
                /// colt stanga
                int tt = ((d * cy1) - y1[i] + 1) * (x2[i] - x1[i] + 1);
                add(cx1, cy1, tt, s1, s2);
                /// colt dreapta
                    tt = (y2[i] - d * (cy2 - 1)) * (x2[i] - x1[i] + 1);
                add(cx2, cy2, tt, s1, s2);
                /// mijloc
                if(cy2 - cy1 - 1 >= 1)
                {
                    int tt = d * (x2[i] - x1[i] + 1);
                    int np = cy2 - cy1 - 1;
                    int nri = np / 2, nrp = np / 2;
                    if(np % 2 == 1)
                        nri++;
                    add(cx1, cy1 + 1, tt * nri, s1, s2);
                    add(cx1, cy1 + 2, tt * nrp, s1, s2);
                }
            }
            else if(cx1 < cx2 && cy1 == cy2)
            {
                /// colt sus
                int tt = ((d * cx1) - x1[i] + 1) * (y2[i] - y1[i] + 1);
                add(cx1, cy1, tt, s1, s2);
                /// colt jos
                    tt = (x2[i] - d * (cx2 - 1)) * (y2[i] - y1[i] + 1);
                add(cx2, cy2, tt, s1, s2);
                /// mijloc
                if(cx2 - cx1 - 1 >= 1)
                {
                    int tt = d * (y2[i] - y1[i] + 1);
                    int np = cx2 - cx1 - 1;
                    int nri = np / 2, nrp = np / 2;
                    if(np % 2 == 1)
                        nri++;
                    add(cx1 + 1, cy1, tt * nri, s1, s2);
                    add(cx1 + 2, cy1, tt * nrp, s1, s2);
                }
            }
            else
            {
                /// colt st sus
                int tt = (d * cx1 - x1[i] + 1) * (d * cy1 - y1[i] + 1);
                add(cx1, cy1, tt, s1, s2);
                /// colt dr sus
                    tt = (d * cx1 - x1[i] + 1) * (y2[i] - d * (cy2 - 1));
                add(cx1, cy2, tt, s1, s2);
                /// colt st jos
                    tt = (x2[i] - d * (cx2 - 1)) * (d * cy1 - y1[i] + 1);
                add(cx2, cy1, tt, s1, s2);
                /// colt dr jos
                    tt = (x2[i] - d * (cx2 - 1)) * (y2[i] - d * (cy2 - 1));
                add(cx2, cy2, tt, s1, s2);
                /// mijloc
                if((cx2 - cx1 - 1) * (cy2 - cy1 - 1) >= 1)
                {
                    int nrp = (cx2 - cx1 - 1) * (cy2 - cy1 - 1);
                    int d1 = nrp / 2, d2 = nrp / 2;
                    if(nrp % 2 == 1)
                        d1++;
                    add(cx1 + 1, cx2 + 1, d * d1, s1, s2);
                    add(cx1 + 1, cx2 + 2, d * d2, s1, s2);
                }
            }
        }

        int d1 = n * n, d2 = n * n;
        int nli = n / d / 2, nlp = n / d / 2;
        if((n / d) % 2 == 1) nli++;

        d2 -= (d * d * (nli * nli + nlp * nlp));
        d1 = n * n - d2;
        int ans = min(d1 - s1 + s2, d2 - s2 + s1);
        minn = min(minn, ans);
    }

    cout<<minn<<'\n';

    return 0;
}

Compilation message

chessboard.cpp: In function 'int main()':
chessboard.cpp:22:9: warning: unused variable 's1' [-Wunused-variable]
   22 |     int s1 = 0, s2 = 0;
      |         ^~
chessboard.cpp:22:17: warning: unused variable 's2' [-Wunused-variable]
   22 |     int s1 = 0, s2 = 0;
      |                 ^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 216 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 69 ms 3648 KB Output is correct
2 Correct 17 ms 1108 KB Output is correct
3 Correct 42 ms 2412 KB Output is correct
4 Correct 44 ms 2548 KB Output is correct
5 Correct 60 ms 3276 KB Output is correct
6 Correct 49 ms 2164 KB Output is correct
7 Correct 8 ms 712 KB Output is correct
8 Correct 37 ms 2136 KB Output is correct
9 Correct 93 ms 5092 KB Output is correct
10 Correct 53 ms 2972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 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 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 316 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 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 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 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 316 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 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 25 ms 1572 KB Output is correct
17 Correct 73 ms 4220 KB Output is correct
18 Correct 91 ms 4996 KB Output is correct
19 Correct 129 ms 4424 KB Output is correct
20 Correct 138 ms 4904 KB Output is correct
21 Correct 66 ms 4140 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 41 ms 2232 KB Output is correct
24 Correct 82 ms 4664 KB Output is correct
25 Correct 8 ms 724 KB Output is correct
26 Correct 78 ms 2996 KB Output is correct
27 Correct 89 ms 3480 KB Output is correct
28 Correct 85 ms 4764 KB Output is correct
29 Correct 29 ms 1868 KB Output is correct
30 Correct 5 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 69 ms 3648 KB Output is correct
2 Correct 17 ms 1108 KB Output is correct
3 Correct 42 ms 2412 KB Output is correct
4 Correct 44 ms 2548 KB Output is correct
5 Correct 60 ms 3276 KB Output is correct
6 Correct 49 ms 2164 KB Output is correct
7 Correct 8 ms 712 KB Output is correct
8 Correct 37 ms 2136 KB Output is correct
9 Correct 93 ms 5092 KB Output is correct
10 Correct 53 ms 2972 KB Output is correct
11 Correct 1 ms 316 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 308 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 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 328 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 316 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 320 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 25 ms 1572 KB Output is correct
27 Correct 73 ms 4220 KB Output is correct
28 Correct 91 ms 4996 KB Output is correct
29 Correct 129 ms 4424 KB Output is correct
30 Correct 138 ms 4904 KB Output is correct
31 Correct 66 ms 4140 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 41 ms 2232 KB Output is correct
34 Correct 82 ms 4664 KB Output is correct
35 Correct 8 ms 724 KB Output is correct
36 Correct 78 ms 2996 KB Output is correct
37 Correct 89 ms 3480 KB Output is correct
38 Correct 85 ms 4764 KB Output is correct
39 Correct 29 ms 1868 KB Output is correct
40 Correct 5 ms 340 KB Output is correct
41 Correct 132 ms 4852 KB Output is correct
42 Correct 104 ms 5452 KB Output is correct
43 Correct 113 ms 4828 KB Output is correct
44 Correct 112 ms 5324 KB Output is correct
45 Correct 104 ms 5720 KB Output is correct
46 Correct 166 ms 5472 KB Output is correct
47 Correct 112 ms 4944 KB Output is correct
48 Correct 105 ms 5068 KB Output is correct
49 Correct 106 ms 4896 KB Output is correct
50 Correct 375 ms 5316 KB Output is correct
51 Correct 392 ms 5632 KB Output is correct
52 Correct 390 ms 5280 KB Output is correct
53 Correct 386 ms 5592 KB Output is correct
54 Correct 374 ms 5272 KB Output is correct
55 Correct 403 ms 5716 KB Output is correct
56 Correct 371 ms 5064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 216 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 69 ms 3648 KB Output is correct
10 Correct 17 ms 1108 KB Output is correct
11 Correct 42 ms 2412 KB Output is correct
12 Correct 44 ms 2548 KB Output is correct
13 Correct 60 ms 3276 KB Output is correct
14 Correct 49 ms 2164 KB Output is correct
15 Correct 8 ms 712 KB Output is correct
16 Correct 37 ms 2136 KB Output is correct
17 Correct 93 ms 5092 KB Output is correct
18 Correct 53 ms 2972 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 308 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 2 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 328 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 316 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 320 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 25 ms 1572 KB Output is correct
35 Correct 73 ms 4220 KB Output is correct
36 Correct 91 ms 4996 KB Output is correct
37 Correct 129 ms 4424 KB Output is correct
38 Correct 138 ms 4904 KB Output is correct
39 Correct 66 ms 4140 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 41 ms 2232 KB Output is correct
42 Correct 82 ms 4664 KB Output is correct
43 Correct 8 ms 724 KB Output is correct
44 Correct 78 ms 2996 KB Output is correct
45 Correct 89 ms 3480 KB Output is correct
46 Correct 85 ms 4764 KB Output is correct
47 Correct 29 ms 1868 KB Output is correct
48 Correct 5 ms 340 KB Output is correct
49 Correct 132 ms 4852 KB Output is correct
50 Correct 104 ms 5452 KB Output is correct
51 Correct 113 ms 4828 KB Output is correct
52 Correct 112 ms 5324 KB Output is correct
53 Correct 104 ms 5720 KB Output is correct
54 Correct 166 ms 5472 KB Output is correct
55 Correct 112 ms 4944 KB Output is correct
56 Correct 105 ms 5068 KB Output is correct
57 Correct 106 ms 4896 KB Output is correct
58 Correct 375 ms 5316 KB Output is correct
59 Correct 392 ms 5632 KB Output is correct
60 Correct 390 ms 5280 KB Output is correct
61 Correct 386 ms 5592 KB Output is correct
62 Correct 374 ms 5272 KB Output is correct
63 Correct 403 ms 5716 KB Output is correct
64 Correct 371 ms 5064 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Incorrect 456 ms 5480 KB Output isn't correct
68 Halted 0 ms 0 KB -