Submission #747090

# Submission time Handle Problem Language Result Execution time Memory
747090 2023-05-23T15:36:42 Z heeheeheehaaw Chessboard (IZhO18_chessboard) C++17
70 / 100
450 ms 3428 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);
                /// 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 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 96 ms 2252 KB Output is correct
2 Correct 18 ms 780 KB Output is correct
3 Correct 41 ms 1440 KB Output is correct
4 Correct 49 ms 1652 KB Output is correct
5 Correct 71 ms 2036 KB Output is correct
6 Correct 52 ms 1368 KB Output is correct
7 Correct 9 ms 468 KB Output is correct
8 Correct 42 ms 1368 KB Output is correct
9 Correct 119 ms 3112 KB Output is correct
10 Correct 52 ms 1756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 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 1 ms 340 KB Output is correct
8 Correct 2 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 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 1 ms 340 KB Output is correct
8 Correct 2 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 26 ms 1100 KB Output is correct
17 Correct 72 ms 2820 KB Output is correct
18 Correct 86 ms 3328 KB Output is correct
19 Correct 120 ms 3040 KB Output is correct
20 Correct 140 ms 3392 KB Output is correct
21 Correct 73 ms 2848 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 45 ms 1524 KB Output is correct
24 Correct 78 ms 3064 KB Output is correct
25 Correct 9 ms 596 KB Output is correct
26 Correct 48 ms 1968 KB Output is correct
27 Correct 67 ms 2376 KB Output is correct
28 Correct 84 ms 3276 KB Output is correct
29 Correct 29 ms 1236 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 96 ms 2252 KB Output is correct
2 Correct 18 ms 780 KB Output is correct
3 Correct 41 ms 1440 KB Output is correct
4 Correct 49 ms 1652 KB Output is correct
5 Correct 71 ms 2036 KB Output is correct
6 Correct 52 ms 1368 KB Output is correct
7 Correct 9 ms 468 KB Output is correct
8 Correct 42 ms 1368 KB Output is correct
9 Correct 119 ms 3112 KB Output is correct
10 Correct 52 ms 1756 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 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 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 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 26 ms 1100 KB Output is correct
27 Correct 72 ms 2820 KB Output is correct
28 Correct 86 ms 3328 KB Output is correct
29 Correct 120 ms 3040 KB Output is correct
30 Correct 140 ms 3392 KB Output is correct
31 Correct 73 ms 2848 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 45 ms 1524 KB Output is correct
34 Correct 78 ms 3064 KB Output is correct
35 Correct 9 ms 596 KB Output is correct
36 Correct 48 ms 1968 KB Output is correct
37 Correct 67 ms 2376 KB Output is correct
38 Correct 84 ms 3276 KB Output is correct
39 Correct 29 ms 1236 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 134 ms 2996 KB Output is correct
42 Correct 107 ms 3200 KB Output is correct
43 Correct 116 ms 2908 KB Output is correct
44 Correct 116 ms 3092 KB Output is correct
45 Correct 121 ms 3316 KB Output is correct
46 Correct 157 ms 3204 KB Output is correct
47 Correct 90 ms 2916 KB Output is correct
48 Correct 104 ms 3048 KB Output is correct
49 Correct 88 ms 2900 KB Output is correct
50 Correct 371 ms 3148 KB Output is correct
51 Correct 418 ms 3336 KB Output is correct
52 Correct 354 ms 3132 KB Output is correct
53 Correct 406 ms 3404 KB Output is correct
54 Correct 375 ms 3020 KB Output is correct
55 Correct 450 ms 3428 KB Output is correct
56 Correct 343 ms 3036 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 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 0 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 96 ms 2252 KB Output is correct
10 Correct 18 ms 780 KB Output is correct
11 Correct 41 ms 1440 KB Output is correct
12 Correct 49 ms 1652 KB Output is correct
13 Correct 71 ms 2036 KB Output is correct
14 Correct 52 ms 1368 KB Output is correct
15 Correct 9 ms 468 KB Output is correct
16 Correct 42 ms 1368 KB Output is correct
17 Correct 119 ms 3112 KB Output is correct
18 Correct 52 ms 1756 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 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 2 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 26 ms 1100 KB Output is correct
35 Correct 72 ms 2820 KB Output is correct
36 Correct 86 ms 3328 KB Output is correct
37 Correct 120 ms 3040 KB Output is correct
38 Correct 140 ms 3392 KB Output is correct
39 Correct 73 ms 2848 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 45 ms 1524 KB Output is correct
42 Correct 78 ms 3064 KB Output is correct
43 Correct 9 ms 596 KB Output is correct
44 Correct 48 ms 1968 KB Output is correct
45 Correct 67 ms 2376 KB Output is correct
46 Correct 84 ms 3276 KB Output is correct
47 Correct 29 ms 1236 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 134 ms 2996 KB Output is correct
50 Correct 107 ms 3200 KB Output is correct
51 Correct 116 ms 2908 KB Output is correct
52 Correct 116 ms 3092 KB Output is correct
53 Correct 121 ms 3316 KB Output is correct
54 Correct 157 ms 3204 KB Output is correct
55 Correct 90 ms 2916 KB Output is correct
56 Correct 104 ms 3048 KB Output is correct
57 Correct 88 ms 2900 KB Output is correct
58 Correct 371 ms 3148 KB Output is correct
59 Correct 418 ms 3336 KB Output is correct
60 Correct 354 ms 3132 KB Output is correct
61 Correct 406 ms 3404 KB Output is correct
62 Correct 375 ms 3020 KB Output is correct
63 Correct 450 ms 3428 KB Output is correct
64 Correct 343 ms 3036 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Incorrect 417 ms 3232 KB Output isn't correct
68 Halted 0 ms 0 KB -