Submission #747093

# Submission time Handle Problem Language Result Execution time Memory
747093 2023-05-23T15:42:45 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
448 ms 3432 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 = (x2[i] - x1[i] + 1) * (y2[i] - y1[i] + 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);
                /// marg sus si jos
                if(cy2 - cy1 - 1 >= 1)
                {
                    tt = (d * cx1 - x1[i] + 1) * d;
                    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);
                    tt = (x2[i] - d * (cx2 - 1)) * d;
                    add(cx2, cy1 + 1, tt * nri, s1, s2);
                    add(cx2, cy1 + 2, tt * nrp, s1, s2);
                }
                /// marg st si dr
                if(cx2 - cx1 - 1 >= 1)
                {
                    tt = (d * cy1 - y1[i] + 1) * d;
                    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);
                    tt = (y2[i] - d * (cy2 - 1)) * d;
                    add(cx1 + 1, cy2, tt * nri, s1, s2);
                    add(cx1 + 2, cy2, tt * nrp, 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 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 0 ms 212 KB Output is correct
5 Correct 0 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 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 74 ms 2200 KB Output is correct
2 Correct 16 ms 828 KB Output is correct
3 Correct 43 ms 1460 KB Output is correct
4 Correct 41 ms 1736 KB Output is correct
5 Correct 58 ms 1912 KB Output is correct
6 Correct 39 ms 1344 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 40 ms 1316 KB Output is correct
9 Correct 95 ms 3120 KB Output is correct
10 Correct 56 ms 1868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 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 2 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 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 2 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 23 ms 1108 KB Output is correct
17 Correct 67 ms 2892 KB Output is correct
18 Correct 81 ms 3324 KB Output is correct
19 Correct 127 ms 3068 KB Output is correct
20 Correct 128 ms 3396 KB Output is correct
21 Correct 64 ms 2844 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 39 ms 1600 KB Output is correct
24 Correct 79 ms 3196 KB Output is correct
25 Correct 8 ms 596 KB Output is correct
26 Correct 51 ms 2024 KB Output is correct
27 Correct 71 ms 2400 KB Output is correct
28 Correct 85 ms 3256 KB Output is correct
29 Correct 27 ms 1228 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 74 ms 2200 KB Output is correct
2 Correct 16 ms 828 KB Output is correct
3 Correct 43 ms 1460 KB Output is correct
4 Correct 41 ms 1736 KB Output is correct
5 Correct 58 ms 1912 KB Output is correct
6 Correct 39 ms 1344 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 40 ms 1316 KB Output is correct
9 Correct 95 ms 3120 KB Output is correct
10 Correct 56 ms 1868 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 1 ms 340 KB Output is correct
17 Correct 2 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 23 ms 1108 KB Output is correct
27 Correct 67 ms 2892 KB Output is correct
28 Correct 81 ms 3324 KB Output is correct
29 Correct 127 ms 3068 KB Output is correct
30 Correct 128 ms 3396 KB Output is correct
31 Correct 64 ms 2844 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 39 ms 1600 KB Output is correct
34 Correct 79 ms 3196 KB Output is correct
35 Correct 8 ms 596 KB Output is correct
36 Correct 51 ms 2024 KB Output is correct
37 Correct 71 ms 2400 KB Output is correct
38 Correct 85 ms 3256 KB Output is correct
39 Correct 27 ms 1228 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 126 ms 2892 KB Output is correct
42 Correct 111 ms 3192 KB Output is correct
43 Correct 112 ms 2892 KB Output is correct
44 Correct 97 ms 3100 KB Output is correct
45 Correct 101 ms 3264 KB Output is correct
46 Correct 144 ms 3184 KB Output is correct
47 Correct 88 ms 2976 KB Output is correct
48 Correct 112 ms 2996 KB Output is correct
49 Correct 90 ms 2920 KB Output is correct
50 Correct 361 ms 3148 KB Output is correct
51 Correct 390 ms 3340 KB Output is correct
52 Correct 352 ms 3124 KB Output is correct
53 Correct 380 ms 3404 KB Output is correct
54 Correct 346 ms 3084 KB Output is correct
55 Correct 394 ms 3432 KB Output is correct
56 Correct 338 ms 3004 KB Output is correct
# 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 0 ms 212 KB Output is correct
5 Correct 0 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 212 KB Output is correct
9 Correct 74 ms 2200 KB Output is correct
10 Correct 16 ms 828 KB Output is correct
11 Correct 43 ms 1460 KB Output is correct
12 Correct 41 ms 1736 KB Output is correct
13 Correct 58 ms 1912 KB Output is correct
14 Correct 39 ms 1344 KB Output is correct
15 Correct 8 ms 468 KB Output is correct
16 Correct 40 ms 1316 KB Output is correct
17 Correct 95 ms 3120 KB Output is correct
18 Correct 56 ms 1868 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 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 2 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 23 ms 1108 KB Output is correct
35 Correct 67 ms 2892 KB Output is correct
36 Correct 81 ms 3324 KB Output is correct
37 Correct 127 ms 3068 KB Output is correct
38 Correct 128 ms 3396 KB Output is correct
39 Correct 64 ms 2844 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 39 ms 1600 KB Output is correct
42 Correct 79 ms 3196 KB Output is correct
43 Correct 8 ms 596 KB Output is correct
44 Correct 51 ms 2024 KB Output is correct
45 Correct 71 ms 2400 KB Output is correct
46 Correct 85 ms 3256 KB Output is correct
47 Correct 27 ms 1228 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 126 ms 2892 KB Output is correct
50 Correct 111 ms 3192 KB Output is correct
51 Correct 112 ms 2892 KB Output is correct
52 Correct 97 ms 3100 KB Output is correct
53 Correct 101 ms 3264 KB Output is correct
54 Correct 144 ms 3184 KB Output is correct
55 Correct 88 ms 2976 KB Output is correct
56 Correct 112 ms 2996 KB Output is correct
57 Correct 90 ms 2920 KB Output is correct
58 Correct 361 ms 3148 KB Output is correct
59 Correct 390 ms 3340 KB Output is correct
60 Correct 352 ms 3124 KB Output is correct
61 Correct 380 ms 3404 KB Output is correct
62 Correct 346 ms 3084 KB Output is correct
63 Correct 394 ms 3432 KB Output is correct
64 Correct 338 ms 3004 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Incorrect 448 ms 3232 KB Output isn't correct
68 Halted 0 ms 0 KB -