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Submission #926322

# Submission time Handle Problem Language Result Execution time Memory
926322 2024-02-12T19:23:05 Z AlphaMale06 Chessboard (IZhO18_chessboard) C++14
70 / 100
 291 ms 5856 KB 
#include <bits/stdc++.h>

using namespace std;

#define F first
#define S second
#define int long long

struct rect{
    int x1, y1, x2, y2;
};

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n, k;
    cin >> n >> k;
    rect a[k];
    for(int i=0; i< k; i++){
        cin >> a[i].x1 >> a[i].y1 >> a[i].x2 >> a[i].y2;
        a[i].x1--;
        a[i].x2--;
        a[i].y1--;
        a[i].y2--;
    }
    int ans=1e12;
    for(int d=1; d<n; d++){
        if(n%d!=0)continue;
        int flip=d*d*(((n*n)/(d*d)+1)/2);
        for(int i=0; i< k; i++){
            int subx1=a[i].x1/d;
            int subx2=a[i].x2/d;
            int suby1=a[i].y1/d;
            int suby2=a[i].y2/d;
            if(subx1==subx2 && suby1==suby2){
                if((subx1&1)==(suby1&1))flip-=(a[i].x2-a[i].x1+1)*(a[i].y2-a[i].y1+1);
                else flip+=(a[i].x2-a[i].x1+1)*(a[i].y2-a[i].y1+1);
            }
            else if(suby1==suby2){
                int fali=(subx1+1)*d-1;
                int fali2=subx2*d;
                if((subx1&1)==(suby1&1))flip-=(a[i].y2-a[i].y1+1)*(fali-a[i].x1+1);
                else flip+=(a[i].y2-a[i].y1+1)*(fali-a[i].x1+1);
                if((subx2&1)==(suby1&1))flip-=(a[i].y2-a[i].y1+1)*(a[i].x2-fali2+1);
                else flip+=(a[i].y2-a[i].y1+1)*(a[i].x2-fali2+1);
                int dif=subx2-subx1-1;
                if(dif%2==0)continue;
                if((subx1&1)==(suby1&1))flip+=(a[i].y2-a[i].y1+1)*d;
                else flip-=(a[i].y2-a[i].y1+1)*d;
            }
            else if(subx1==subx2){
                int fali=(suby1+1)*d-1;
                int fali2=suby2*d;
                if((suby1&1)==(subx1&1))flip-=(a[i].x2-a[i].x1+1)*(fali-a[i].y1+1);
                else flip+=(a[i].x2-a[i].x1+1)*(fali-a[i].y1+1);
                if((suby2&1)==(subx1&1))flip-=(a[i].x2-a[i].x1+1)*(a[i].y2-fali2+1);
                else flip+=(a[i].x2-a[i].x1+1)*(a[i].y2-fali2+1);
                int dif=suby2-suby1-1;
                if(dif%2==0)continue;
                if((suby1&1)==(subx1&1))flip+=(a[i].x2-a[i].x1+1)*d;
                else flip-=(a[i].x2-a[i].x1+1)*d;
            }
            else{
                if(subx1%2==suby1%2)flip-=(subx1*d-a[i].x1)*(suby1*d-a[i].y1);
                else flip+=(subx1*d-a[i].x1)*(suby1*d-a[i].y1);
                if(subx1%2==suby2%2)flip-=(subx1*d-a[i].x1)*(a[i].y2-suby2*d+1);
                else flip+=(subx1*d-a[i].x1)*(a[i].y2-suby2*d+1);
                if(subx2%2==suby1%2)flip-=(a[i].x2-subx2*d+1)*(suby1*d-a[i].y1);
                else flip+=(a[i].x2-subx2*d+1)*(suby1*d-a[i].y1);
                if(subx2%2==suby2%2)flip-=(a[i].x2-subx2*d+1)*(a[i].y2-suby2*d+1);
                else flip+=(a[i].x2-subx2*d+1)*(a[i].y2-suby2*d+1);
                int difx=subx2-subx1-1;
                int dify=suby2-suby1-1;
                if(difx%2==0 && dify%2==0)continue;
                if(dify&1){
                    if(suby1%2==subx1%2)flip+=d*(subx1*d-a[i].x1);
                    else flip-=d*(subx1*d-a[i].x1);
                    if(suby1%2==subx2%2)flip+=d*(a[i].x2-subx2*d+1);
                    else flip-=d*(a[i].x2-subx2*d+1);
                }
                if(difx&1){
                    if(subx1%2==suby1%2)flip+=d*(suby1*d-a[i].y1);
                    else flip-=d*(suby1*d-a[i].y1);
                    if(subx1%2==suby2%2)flip+=d*(a[i].y2-suby2*d+1);
                    else flip-=d*(a[i].y2-suby2*d+1);
                }
                if(subx1%2==suby1%2)flip-=d*d;
                else flip+=d*d;
            }
        }
        ans=min({ans, flip, n*n-flip});
    }
    cout << ans << '\n';
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 4440 KB Output is correct
2 Correct 5 ms 1316 KB Output is correct
3 Correct 11 ms 2624 KB Output is correct
4 Correct 11 ms 2636 KB Output is correct
5 Correct 15 ms 3448 KB Output is correct
6 Correct 10 ms 2140 KB Output is correct
7 Correct 3 ms 700 KB Output is correct
8 Correct 12 ms 2140 KB Output is correct
9 Correct 25 ms 5204 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 9 ms 1748 KB Output is correct
17 Correct 22 ms 4444 KB Output is correct
18 Correct 27 ms 4948 KB Output is correct
19 Correct 64 ms 4612 KB Output is correct
20 Correct 72 ms 4952 KB Output is correct
21 Correct 18 ms 4188 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 15 ms 2396 KB Output is correct
24 Correct 24 ms 4700 KB Output is correct
25 Correct 3 ms 860 KB Output is correct
26 Correct 15 ms 2976 KB Output is correct
27 Correct 21 ms 3584 KB Output is correct
28 Correct 26 ms 4956 KB Output is correct
29 Correct 8 ms 1884 KB Output is correct
30 Correct 1 ms 464 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 4440 KB Output is correct
2 Correct 5 ms 1316 KB Output is correct
3 Correct 11 ms 2624 KB Output is correct
4 Correct 11 ms 2636 KB Output is correct
5 Correct 15 ms 3448 KB Output is correct
6 Correct 10 ms 2140 KB Output is correct
7 Correct 3 ms 700 KB Output is correct
8 Correct 12 ms 2140 KB Output is correct
9 Correct 25 ms 5204 KB Output is correct
10 Correct 14 ms 3160 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 9 ms 1748 KB Output is correct
27 Correct 22 ms 4444 KB Output is correct
28 Correct 27 ms 4948 KB Output is correct
29 Correct 64 ms 4612 KB Output is correct
30 Correct 72 ms 4952 KB Output is correct
31 Correct 18 ms 4188 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 15 ms 2396 KB Output is correct
34 Correct 24 ms 4700 KB Output is correct
35 Correct 3 ms 860 KB Output is correct
36 Correct 15 ms 2976 KB Output is correct
37 Correct 21 ms 3584 KB Output is correct
38 Correct 26 ms 4956 KB Output is correct
39 Correct 8 ms 1884 KB Output is correct
40 Correct 1 ms 464 KB Output is correct
41 Correct 61 ms 4816 KB Output is correct
42 Correct 30 ms 5204 KB Output is correct
43 Correct 42 ms 4976 KB Output is correct
44 Correct 28 ms 5324 KB Output is correct
45 Correct 28 ms 5796 KB Output is correct
46 Correct 74 ms 5212 KB Output is correct
47 Correct 28 ms 4960 KB Output is correct
48 Correct 35 ms 5180 KB Output is correct
49 Correct 28 ms 4688 KB Output is correct
50 Correct 264 ms 5564 KB Output is correct
51 Correct 281 ms 5760 KB Output is correct
52 Correct 262 ms 5292 KB Output is correct
53 Correct 279 ms 5484 KB Output is correct
54 Correct 261 ms 5460 KB Output is correct
55 Correct 291 ms 5856 KB Output is correct
56 Correct 253 ms 4956 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 20 ms 4440 KB Output is correct
10 Correct 5 ms 1316 KB Output is correct
11 Correct 11 ms 2624 KB Output is correct
12 Correct 11 ms 2636 KB Output is correct
13 Correct 15 ms 3448 KB Output is correct
14 Correct 10 ms 2140 KB Output is correct
15 Correct 3 ms 700 KB Output is correct
16 Correct 12 ms 2140 KB Output is correct
17 Correct 25 ms 5204 KB Output is correct
18 Correct 14 ms 3160 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 9 ms 1748 KB Output is correct
35 Correct 22 ms 4444 KB Output is correct
36 Correct 27 ms 4948 KB Output is correct
37 Correct 64 ms 4612 KB Output is correct
38 Correct 72 ms 4952 KB Output is correct
39 Correct 18 ms 4188 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 15 ms 2396 KB Output is correct
42 Correct 24 ms 4700 KB Output is correct
43 Correct 3 ms 860 KB Output is correct
44 Correct 15 ms 2976 KB Output is correct
45 Correct 21 ms 3584 KB Output is correct
46 Correct 26 ms 4956 KB Output is correct
47 Correct 8 ms 1884 KB Output is correct
48 Correct 1 ms 464 KB Output is correct
49 Correct 61 ms 4816 KB Output is correct
50 Correct 30 ms 5204 KB Output is correct
51 Correct 42 ms 4976 KB Output is correct
52 Correct 28 ms 5324 KB Output is correct
53 Correct 28 ms 5796 KB Output is correct
54 Correct 74 ms 5212 KB Output is correct
55 Correct 28 ms 4960 KB Output is correct
56 Correct 35 ms 5180 KB Output is correct
57 Correct 28 ms 4688 KB Output is correct
58 Correct 264 ms 5564 KB Output is correct
59 Correct 281 ms 5760 KB Output is correct
60 Correct 262 ms 5292 KB Output is correct
61 Correct 279 ms 5484 KB Output is correct
62 Correct 261 ms 5460 KB Output is correct
63 Correct 291 ms 5856 KB Output is correct
64 Correct 253 ms 4956 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Incorrect 290 ms 5532 KB Output isn't correct
68 Halted 0 ms 0 KB -