oj.uz

Submission #747103

# Submission time Handle Problem Language Result Execution time Memory
747103 2023-05-23T15:53:47 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
 410 ms 5128 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((int)(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 = (int)(x1[i] - 1) / d + 1;
            int cy1 = (int)(y1[i] - 1) / d + 1;
            int cx2 = (int)(x2[i] - 1) / d + 1;
            int cy2 = (int)(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 * d * d1, s1, s2);
                    add(cx1 + 1, cx2 + 2, d * d * d2, s1, s2);
                }*/
            }
        }

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

        d2 -= (int)(d * d * (nli * nli + nlp * nlp));
        d1 = (int)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 308 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 320 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 68 ms 3484 KB Output is correct
2 Correct 21 ms 1108 KB Output is correct
3 Correct 45 ms 2480 KB Output is correct
4 Correct 45 ms 2524 KB Output is correct
5 Correct 62 ms 3208 KB Output is correct
6 Correct 56 ms 2152 KB Output is correct
7 Correct 10 ms 724 KB Output is correct
8 Correct 44 ms 2184 KB Output is correct
9 Correct 98 ms 4732 KB Output is correct
10 Correct 56 ms 3040 KB Output is correct

Subtask #3
15.0 / 15.0

# 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 316 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 320 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 1 ms 340 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 2 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 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 320 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 1 ms 340 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 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 25 ms 1596 KB Output is correct
17 Correct 68 ms 4212 KB Output is correct
18 Correct 86 ms 4904 KB Output is correct
19 Correct 122 ms 4460 KB Output is correct
20 Correct 142 ms 4964 KB Output is correct
21 Correct 65 ms 4040 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 39 ms 2220 KB Output is correct
24 Correct 77 ms 4552 KB Output is correct
25 Correct 10 ms 828 KB Output is correct
26 Correct 67 ms 2992 KB Output is correct
27 Correct 60 ms 3560 KB Output is correct
28 Correct 83 ms 4716 KB Output is correct
29 Correct 27 ms 1836 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 68 ms 3484 KB Output is correct
2 Correct 21 ms 1108 KB Output is correct
3 Correct 45 ms 2480 KB Output is correct
4 Correct 45 ms 2524 KB Output is correct
5 Correct 62 ms 3208 KB Output is correct
6 Correct 56 ms 2152 KB Output is correct
7 Correct 10 ms 724 KB Output is correct
8 Correct 44 ms 2184 KB Output is correct
9 Correct 98 ms 4732 KB Output is correct
10 Correct 56 ms 3040 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 316 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 320 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 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 2 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 25 ms 1596 KB Output is correct
27 Correct 68 ms 4212 KB Output is correct
28 Correct 86 ms 4904 KB Output is correct
29 Correct 122 ms 4460 KB Output is correct
30 Correct 142 ms 4964 KB Output is correct
31 Correct 65 ms 4040 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 39 ms 2220 KB Output is correct
34 Correct 77 ms 4552 KB Output is correct
35 Correct 10 ms 828 KB Output is correct
36 Correct 67 ms 2992 KB Output is correct
37 Correct 60 ms 3560 KB Output is correct
38 Correct 83 ms 4716 KB Output is correct
39 Correct 27 ms 1836 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 135 ms 4684 KB Output is correct
42 Correct 106 ms 4940 KB Output is correct
43 Correct 109 ms 4704 KB Output is correct
44 Correct 102 ms 4952 KB Output is correct
45 Correct 101 ms 5096 KB Output is correct
46 Correct 143 ms 4972 KB Output is correct
47 Correct 90 ms 4712 KB Output is correct
48 Correct 105 ms 4784 KB Output is correct
49 Correct 90 ms 4608 KB Output is correct
50 Correct 347 ms 4936 KB Output is correct
51 Correct 376 ms 5128 KB Output is correct
52 Correct 359 ms 4796 KB Output is correct
53 Correct 387 ms 5100 KB Output is correct
54 Correct 354 ms 4624 KB Output is correct
55 Correct 401 ms 4468 KB Output is correct
56 Correct 334 ms 3520 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 308 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 320 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 68 ms 3484 KB Output is correct
10 Correct 21 ms 1108 KB Output is correct
11 Correct 45 ms 2480 KB Output is correct
12 Correct 45 ms 2524 KB Output is correct
13 Correct 62 ms 3208 KB Output is correct
14 Correct 56 ms 2152 KB Output is correct
15 Correct 10 ms 724 KB Output is correct
16 Correct 44 ms 2184 KB Output is correct
17 Correct 98 ms 4732 KB Output is correct
18 Correct 56 ms 3040 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 316 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 316 KB Output is correct
24 Correct 1 ms 320 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 1 ms 340 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 2 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 25 ms 1596 KB Output is correct
35 Correct 68 ms 4212 KB Output is correct
36 Correct 86 ms 4904 KB Output is correct
37 Correct 122 ms 4460 KB Output is correct
38 Correct 142 ms 4964 KB Output is correct
39 Correct 65 ms 4040 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 39 ms 2220 KB Output is correct
42 Correct 77 ms 4552 KB Output is correct
43 Correct 10 ms 828 KB Output is correct
44 Correct 67 ms 2992 KB Output is correct
45 Correct 60 ms 3560 KB Output is correct
46 Correct 83 ms 4716 KB Output is correct
47 Correct 27 ms 1836 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 135 ms 4684 KB Output is correct
50 Correct 106 ms 4940 KB Output is correct
51 Correct 109 ms 4704 KB Output is correct
52 Correct 102 ms 4952 KB Output is correct
53 Correct 101 ms 5096 KB Output is correct
54 Correct 143 ms 4972 KB Output is correct
55 Correct 90 ms 4712 KB Output is correct
56 Correct 105 ms 4784 KB Output is correct
57 Correct 90 ms 4608 KB Output is correct
58 Correct 347 ms 4936 KB Output is correct
59 Correct 376 ms 5128 KB Output is correct
60 Correct 359 ms 4796 KB Output is correct
61 Correct 387 ms 5100 KB Output is correct
62 Correct 354 ms 4624 KB Output is correct
63 Correct 401 ms 4468 KB Output is correct
64 Correct 334 ms 3520 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 407 ms 3228 KB Output is correct
68 Correct 398 ms 3244 KB Output is correct
69 Correct 350 ms 2840 KB Output is correct
70 Correct 398 ms 3100 KB Output is correct
71 Correct 410 ms 3160 KB Output is correct
72 Incorrect 396 ms 3012 KB Output isn't correct
73 Halted 0 ms 0 KB -