oj.uz

Submission #747094

# Submission time Handle Problem Language Result Execution time Memory
747094 2023-05-23T15:43:35 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
 436 ms 5808 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;
      |                 ^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 312 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 316 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 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 3756 KB Output is correct
2 Correct 21 ms 1176 KB Output is correct
3 Correct 41 ms 2376 KB Output is correct
4 Correct 43 ms 2576 KB Output is correct
5 Correct 59 ms 3276 KB Output is correct
6 Correct 38 ms 2116 KB Output is correct
7 Correct 9 ms 700 KB Output is correct
8 Correct 39 ms 2124 KB Output is correct
9 Correct 96 ms 5180 KB Output is correct
10 Correct 54 ms 2952 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 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 324 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 320 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 320 KB Output is correct
15 Correct 1 ms 324 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 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 324 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 320 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 320 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 25 ms 1624 KB Output is correct
17 Correct 74 ms 4300 KB Output is correct
18 Correct 92 ms 4920 KB Output is correct
19 Correct 125 ms 4492 KB Output is correct
20 Correct 136 ms 4996 KB Output is correct
21 Correct 71 ms 4116 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 40 ms 2252 KB Output is correct
24 Correct 80 ms 4508 KB Output is correct
25 Correct 9 ms 660 KB Output is correct
26 Correct 52 ms 3048 KB Output is correct
27 Correct 62 ms 3528 KB Output is correct
28 Correct 86 ms 4812 KB Output is correct
29 Correct 32 ms 1868 KB Output is correct
30 Correct 4 ms 340 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 3756 KB Output is correct
2 Correct 21 ms 1176 KB Output is correct
3 Correct 41 ms 2376 KB Output is correct
4 Correct 43 ms 2576 KB Output is correct
5 Correct 59 ms 3276 KB Output is correct
6 Correct 38 ms 2116 KB Output is correct
7 Correct 9 ms 700 KB Output is correct
8 Correct 39 ms 2124 KB Output is correct
9 Correct 96 ms 5180 KB Output is correct
10 Correct 54 ms 2952 KB Output is correct
11 Correct 1 ms 320 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 324 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 320 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 320 KB Output is correct
25 Correct 1 ms 324 KB Output is correct
26 Correct 25 ms 1624 KB Output is correct
27 Correct 74 ms 4300 KB Output is correct
28 Correct 92 ms 4920 KB Output is correct
29 Correct 125 ms 4492 KB Output is correct
30 Correct 136 ms 4996 KB Output is correct
31 Correct 71 ms 4116 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 40 ms 2252 KB Output is correct
34 Correct 80 ms 4508 KB Output is correct
35 Correct 9 ms 660 KB Output is correct
36 Correct 52 ms 3048 KB Output is correct
37 Correct 62 ms 3528 KB Output is correct
38 Correct 86 ms 4812 KB Output is correct
39 Correct 32 ms 1868 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 164 ms 4860 KB Output is correct
42 Correct 110 ms 5456 KB Output is correct
43 Correct 111 ms 4900 KB Output is correct
44 Correct 101 ms 5312 KB Output is correct
45 Correct 108 ms 5692 KB Output is correct
46 Correct 148 ms 5432 KB Output is correct
47 Correct 89 ms 5036 KB Output is correct
48 Correct 110 ms 5128 KB Output is correct
49 Correct 99 ms 4868 KB Output is correct
50 Correct 367 ms 5424 KB Output is correct
51 Correct 384 ms 5648 KB Output is correct
52 Correct 371 ms 5280 KB Output is correct
53 Correct 395 ms 5704 KB Output is correct
54 Correct 412 ms 5212 KB Output is correct
55 Correct 393 ms 5808 KB Output is correct
56 Correct 356 ms 5068 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 312 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 316 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 212 KB Output is correct
9 Correct 64 ms 3756 KB Output is correct
10 Correct 21 ms 1176 KB Output is correct
11 Correct 41 ms 2376 KB Output is correct
12 Correct 43 ms 2576 KB Output is correct
13 Correct 59 ms 3276 KB Output is correct
14 Correct 38 ms 2116 KB Output is correct
15 Correct 9 ms 700 KB Output is correct
16 Correct 39 ms 2124 KB Output is correct
17 Correct 96 ms 5180 KB Output is correct
18 Correct 54 ms 2952 KB Output is correct
19 Correct 1 ms 320 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 324 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 320 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 320 KB Output is correct
33 Correct 1 ms 324 KB Output is correct
34 Correct 25 ms 1624 KB Output is correct
35 Correct 74 ms 4300 KB Output is correct
36 Correct 92 ms 4920 KB Output is correct
37 Correct 125 ms 4492 KB Output is correct
38 Correct 136 ms 4996 KB Output is correct
39 Correct 71 ms 4116 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 40 ms 2252 KB Output is correct
42 Correct 80 ms 4508 KB Output is correct
43 Correct 9 ms 660 KB Output is correct
44 Correct 52 ms 3048 KB Output is correct
45 Correct 62 ms 3528 KB Output is correct
46 Correct 86 ms 4812 KB Output is correct
47 Correct 32 ms 1868 KB Output is correct
48 Correct 4 ms 340 KB Output is correct
49 Correct 164 ms 4860 KB Output is correct
50 Correct 110 ms 5456 KB Output is correct
51 Correct 111 ms 4900 KB Output is correct
52 Correct 101 ms 5312 KB Output is correct
53 Correct 108 ms 5692 KB Output is correct
54 Correct 148 ms 5432 KB Output is correct
55 Correct 89 ms 5036 KB Output is correct
56 Correct 110 ms 5128 KB Output is correct
57 Correct 99 ms 4868 KB Output is correct
58 Correct 367 ms 5424 KB Output is correct
59 Correct 384 ms 5648 KB Output is correct
60 Correct 371 ms 5280 KB Output is correct
61 Correct 395 ms 5704 KB Output is correct
62 Correct 412 ms 5212 KB Output is correct
63 Correct 393 ms 5808 KB Output is correct
64 Correct 356 ms 5068 KB Output is correct
65 Correct 1 ms 312 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Incorrect 436 ms 5468 KB Output isn't correct
68 Halted 0 ms 0 KB -