oj.uz

Submission #844084

# Submission time Handle Problem Language Result Execution time Memory
844084 2023-09-05T07:40:10 Z Darren0724 Chessboard (IZhO18_chessboard) C++17
100 / 100
 744 ms 704 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n,q;cin>>n>>q;
    
    vector<int> v;
    vector<int> a[2];
    for(int i=1;i<n;i++){
        if(n%i==0){
            v.push_back(i);
            int p=n/i;
            if(p&1){
                a[0].push_back((p*p-1)*i*i/2);
                a[1].push_back((p*p+1)*i*i/2);
            }
            else{
                a[0].push_back(n*n/2);
                a[1].push_back(n*n/2);
            }
        }
    }
    auto solve=[&](int a,int b,int c,int d,int k)->long long {
        if(c<a||d<b){
            return 0;
        }
        int a1=a/k;
        int b1=b/k;
        int c1=c/k;
        int d1=d/k;
        int ans=0;
        if((d1-b1)*(c1-a1)%2==1){
            if((a1^b1)&1){
                ans+=k*k;
            }
            else{
                ans-=k*k;
            }
        }
        int up=c-c1*k+1;
        int right=d-d1*k+1;
        if((c1-a1)%2==1){
            if((a1^d1)&1){
                ans+=k*right;
            }
            else{
                ans-=k*right;
            }
        }
        if((d1-b1)%2==1){
            if((b1^c1)&1){
                ans+=k*up;
            }
            else{
                ans-=k*up;
            }
        }
        if((c1^d1)&1){
            ans+=up*right;
        }
        else{
            ans-=up*right;
        }
        //cout<<a<<' '<<b<<' '<<c<<' '<<d<<' '<<ans<<'\n';
        return ans;
    };
    int sz=v.size();
    for(int i=0;i<q;i++){
        int c,d,e,f;
        cin>>c>>d>>e>>f;
        c--;d--;e--;f--;
        for(int j=0;j<sz;j++){
            int k=v[j];
            int c1=c/k;
            int d1=d/k;
            int e1=e/k;
            int f1=f/k;
            int t=solve(c1*k,d1*k,e,f,k)-solve(c1*k,d1*k,c-1,f,k)-solve(c1*k,d1*k,e,d-1,k)+solve(c1*k,d1*k,c-1,d-1,k);
            //cout<<t<<'\n';
            a[0][j]-=t;
            a[1][j]+=t;
        }
    }
    int ans=n*n;
    for(int j=0;j<sz;j++){
        ans=min(ans,a[0][j]);
        ans=min(ans,a[1][j]);
        //cout<<v[j]<<' '<<a[0][j]<<' '<<a[1][j]<<endl;
    }
    cout<<ans<<endl;


    return 0;
}
/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/

Compilation message

chessboard.cpp: In function 'int32_t main()':
chessboard.cpp:78:17: warning: unused variable 'e1' [-Wunused-variable]
   78 |             int e1=e/k;
      |                 ^~
chessboard.cpp:79:17: warning: unused variable 'f1' [-Wunused-variable]
   79 |             int f1=f/k;
      |                 ^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 548 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 344 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 10 ms 344 KB Output is correct
4 Correct 11 ms 344 KB Output is correct
5 Correct 14 ms 344 KB Output is correct
6 Correct 10 ms 344 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 9 ms 344 KB Output is correct
9 Correct 23 ms 344 KB Output is correct
10 Correct 13 ms 344 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 8 ms 344 KB Output is correct
17 Correct 17 ms 344 KB Output is correct
18 Correct 29 ms 344 KB Output is correct
19 Correct 132 ms 592 KB Output is correct
20 Correct 146 ms 344 KB Output is correct
21 Correct 16 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 20 ms 600 KB Output is correct
24 Correct 26 ms 344 KB Output is correct
25 Correct 5 ms 348 KB Output is correct
26 Correct 17 ms 348 KB Output is correct
27 Correct 27 ms 344 KB Output is correct
28 Correct 28 ms 592 KB Output is correct
29 Correct 7 ms 344 KB Output is correct
30 Correct 2 ms 344 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 344 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 10 ms 344 KB Output is correct
4 Correct 11 ms 344 KB Output is correct
5 Correct 14 ms 344 KB Output is correct
6 Correct 10 ms 344 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 9 ms 344 KB Output is correct
9 Correct 23 ms 344 KB Output is correct
10 Correct 13 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 8 ms 344 KB Output is correct
27 Correct 17 ms 344 KB Output is correct
28 Correct 29 ms 344 KB Output is correct
29 Correct 132 ms 592 KB Output is correct
30 Correct 146 ms 344 KB Output is correct
31 Correct 16 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 20 ms 600 KB Output is correct
34 Correct 26 ms 344 KB Output is correct
35 Correct 5 ms 348 KB Output is correct
36 Correct 17 ms 348 KB Output is correct
37 Correct 27 ms 344 KB Output is correct
38 Correct 28 ms 592 KB Output is correct
39 Correct 7 ms 344 KB Output is correct
40 Correct 2 ms 344 KB Output is correct
41 Correct 122 ms 344 KB Output is correct
42 Correct 35 ms 344 KB Output is correct
43 Correct 66 ms 544 KB Output is correct
44 Correct 32 ms 344 KB Output is correct
45 Correct 24 ms 344 KB Output is correct
46 Correct 137 ms 428 KB Output is correct
47 Correct 21 ms 704 KB Output is correct
48 Correct 51 ms 344 KB Output is correct
49 Correct 31 ms 344 KB Output is correct
50 Correct 658 ms 440 KB Output is correct
51 Correct 704 ms 440 KB Output is correct
52 Correct 654 ms 440 KB Output is correct
53 Correct 701 ms 592 KB Output is correct
54 Correct 645 ms 440 KB Output is correct
55 Correct 725 ms 440 KB Output is correct
56 Correct 626 ms 344 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 548 KB Output is correct
9 Correct 16 ms 344 KB Output is correct
10 Correct 4 ms 348 KB Output is correct
11 Correct 10 ms 344 KB Output is correct
12 Correct 11 ms 344 KB Output is correct
13 Correct 14 ms 344 KB Output is correct
14 Correct 10 ms 344 KB Output is correct
15 Correct 2 ms 344 KB Output is correct
16 Correct 9 ms 344 KB Output is correct
17 Correct 23 ms 344 KB Output is correct
18 Correct 13 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 8 ms 344 KB Output is correct
35 Correct 17 ms 344 KB Output is correct
36 Correct 29 ms 344 KB Output is correct
37 Correct 132 ms 592 KB Output is correct
38 Correct 146 ms 344 KB Output is correct
39 Correct 16 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 20 ms 600 KB Output is correct
42 Correct 26 ms 344 KB Output is correct
43 Correct 5 ms 348 KB Output is correct
44 Correct 17 ms 348 KB Output is correct
45 Correct 27 ms 344 KB Output is correct
46 Correct 28 ms 592 KB Output is correct
47 Correct 7 ms 344 KB Output is correct
48 Correct 2 ms 344 KB Output is correct
49 Correct 122 ms 344 KB Output is correct
50 Correct 35 ms 344 KB Output is correct
51 Correct 66 ms 544 KB Output is correct
52 Correct 32 ms 344 KB Output is correct
53 Correct 24 ms 344 KB Output is correct
54 Correct 137 ms 428 KB Output is correct
55 Correct 21 ms 704 KB Output is correct
56 Correct 51 ms 344 KB Output is correct
57 Correct 31 ms 344 KB Output is correct
58 Correct 658 ms 440 KB Output is correct
59 Correct 704 ms 440 KB Output is correct
60 Correct 654 ms 440 KB Output is correct
61 Correct 701 ms 592 KB Output is correct
62 Correct 645 ms 440 KB Output is correct
63 Correct 725 ms 440 KB Output is correct
64 Correct 626 ms 344 KB Output is correct
65 Correct 1 ms 344 KB Output is correct
66 Correct 0 ms 344 KB Output is correct
67 Correct 690 ms 440 KB Output is correct
68 Correct 687 ms 344 KB Output is correct
69 Correct 603 ms 592 KB Output is correct
70 Correct 676 ms 592 KB Output is correct
71 Correct 663 ms 440 KB Output is correct
72 Correct 651 ms 436 KB Output is correct
73 Correct 635 ms 592 KB Output is correct
74 Correct 685 ms 592 KB Output is correct
75 Correct 660 ms 344 KB Output is correct
76 Correct 701 ms 440 KB Output is correct
77 Correct 103 ms 344 KB Output is correct
78 Correct 34 ms 344 KB Output is correct
79 Correct 69 ms 344 KB Output is correct
80 Correct 72 ms 548 KB Output is correct
81 Correct 67 ms 344 KB Output is correct
82 Correct 56 ms 344 KB Output is correct
83 Correct 40 ms 348 KB Output is correct
84 Correct 408 ms 592 KB Output is correct
85 Correct 727 ms 440 KB Output is correct
86 Correct 1 ms 344 KB Output is correct
87 Correct 1 ms 344 KB Output is correct
88 Correct 744 ms 444 KB Output is correct
89 Correct 141 ms 344 KB Output is correct
90 Correct 1 ms 344 KB Output is correct