oj.uz

Submission #747095

# Submission time Handle Problem Language Result Execution time Memory
747095 2023-05-23T15:44:19 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
 414 ms 4544 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 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 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 70 ms 3964 KB Output is correct
2 Correct 17 ms 1160 KB Output is correct
3 Correct 45 ms 2412 KB Output is correct
4 Correct 41 ms 2516 KB Output is correct
5 Correct 57 ms 3232 KB Output is correct
6 Correct 37 ms 2168 KB Output is correct
7 Correct 8 ms 640 KB Output is correct
8 Correct 39 ms 2120 KB Output is correct
9 Correct 90 ms 4520 KB Output is correct
10 Correct 54 ms 2948 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 340 KB Output is correct
5 Correct 1 ms 324 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 316 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 324 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 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 340 KB Output is correct
5 Correct 1 ms 324 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 316 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 324 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 26 ms 1612 KB Output is correct
17 Correct 72 ms 4040 KB Output is correct
18 Correct 106 ms 4468 KB Output is correct
19 Correct 124 ms 4156 KB Output is correct
20 Correct 140 ms 4544 KB Output is correct
21 Correct 66 ms 3972 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 38 ms 2324 KB Output is correct
24 Correct 79 ms 4168 KB Output is correct
25 Correct 9 ms 728 KB Output is correct
26 Correct 47 ms 2952 KB Output is correct
27 Correct 60 ms 3480 KB Output is correct
28 Correct 84 ms 4392 KB Output is correct
29 Correct 28 ms 1848 KB Output is correct
30 Correct 3 ms 456 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 3964 KB Output is correct
2 Correct 17 ms 1160 KB Output is correct
3 Correct 45 ms 2412 KB Output is correct
4 Correct 41 ms 2516 KB Output is correct
5 Correct 57 ms 3232 KB Output is correct
6 Correct 37 ms 2168 KB Output is correct
7 Correct 8 ms 640 KB Output is correct
8 Correct 39 ms 2120 KB Output is correct
9 Correct 90 ms 4520 KB Output is correct
10 Correct 54 ms 2948 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 340 KB Output is correct
15 Correct 1 ms 324 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 316 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 2 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 26 ms 1612 KB Output is correct
27 Correct 72 ms 4040 KB Output is correct
28 Correct 106 ms 4468 KB Output is correct
29 Correct 124 ms 4156 KB Output is correct
30 Correct 140 ms 4544 KB Output is correct
31 Correct 66 ms 3972 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 38 ms 2324 KB Output is correct
34 Correct 79 ms 4168 KB Output is correct
35 Correct 9 ms 728 KB Output is correct
36 Correct 47 ms 2952 KB Output is correct
37 Correct 60 ms 3480 KB Output is correct
38 Correct 84 ms 4392 KB Output is correct
39 Correct 28 ms 1848 KB Output is correct
40 Correct 3 ms 456 KB Output is correct
41 Correct 134 ms 3624 KB Output is correct
42 Correct 103 ms 3916 KB Output is correct
43 Correct 106 ms 3576 KB Output is correct
44 Correct 96 ms 3824 KB Output is correct
45 Correct 108 ms 4100 KB Output is correct
46 Correct 163 ms 4012 KB Output is correct
47 Correct 112 ms 3704 KB Output is correct
48 Correct 104 ms 3780 KB Output is correct
49 Correct 95 ms 3732 KB Output is correct
50 Correct 362 ms 3916 KB Output is correct
51 Correct 394 ms 4100 KB Output is correct
52 Correct 401 ms 3976 KB Output is correct
53 Correct 380 ms 4076 KB Output is correct
54 Correct 356 ms 3600 KB Output is correct
55 Correct 402 ms 3684 KB Output is correct
56 Correct 344 ms 3016 KB Output is correct

Subtask #6
0 / 30.0

# 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 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 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 70 ms 3964 KB Output is correct
10 Correct 17 ms 1160 KB Output is correct
11 Correct 45 ms 2412 KB Output is correct
12 Correct 41 ms 2516 KB Output is correct
13 Correct 57 ms 3232 KB Output is correct
14 Correct 37 ms 2168 KB Output is correct
15 Correct 8 ms 640 KB Output is correct
16 Correct 39 ms 2120 KB Output is correct
17 Correct 90 ms 4520 KB Output is correct
18 Correct 54 ms 2948 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 340 KB Output is correct
23 Correct 1 ms 324 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 316 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 324 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 26 ms 1612 KB Output is correct
35 Correct 72 ms 4040 KB Output is correct
36 Correct 106 ms 4468 KB Output is correct
37 Correct 124 ms 4156 KB Output is correct
38 Correct 140 ms 4544 KB Output is correct
39 Correct 66 ms 3972 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 38 ms 2324 KB Output is correct
42 Correct 79 ms 4168 KB Output is correct
43 Correct 9 ms 728 KB Output is correct
44 Correct 47 ms 2952 KB Output is correct
45 Correct 60 ms 3480 KB Output is correct
46 Correct 84 ms 4392 KB Output is correct
47 Correct 28 ms 1848 KB Output is correct
48 Correct 3 ms 456 KB Output is correct
49 Correct 134 ms 3624 KB Output is correct
50 Correct 103 ms 3916 KB Output is correct
51 Correct 106 ms 3576 KB Output is correct
52 Correct 96 ms 3824 KB Output is correct
53 Correct 108 ms 4100 KB Output is correct
54 Correct 163 ms 4012 KB Output is correct
55 Correct 112 ms 3704 KB Output is correct
56 Correct 104 ms 3780 KB Output is correct
57 Correct 95 ms 3732 KB Output is correct
58 Correct 362 ms 3916 KB Output is correct
59 Correct 394 ms 4100 KB Output is correct
60 Correct 401 ms 3976 KB Output is correct
61 Correct 380 ms 4076 KB Output is correct
62 Correct 356 ms 3600 KB Output is correct
63 Correct 402 ms 3684 KB Output is correct
64 Correct 344 ms 3016 KB Output is correct
65 Correct 1 ms 316 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Incorrect 414 ms 3352 KB Output isn't correct
68 Halted 0 ms 0 KB -