Submission #334511

# Submission time Handle Problem Language Result Execution time Memory
334511 2020-12-09T09:48:39 Z talant117408 Chessboard (IZhO18_chessboard) C++17
47 / 100
2000 ms 7764 KB
/*
    Code written by Talant I.D.
*/
  
#include <bits/stdc++.h>
  
using namespace std;
  
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
  
#define precision(n) fixed << setprecision(n)
#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define mp make_pair
#define eps (double)1e-9
#define PI 2*acos(0.0)
#define endl "\n"
#define sz(v) int((v).size())
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define OK cout << "OK" << endl;
  
inline bool isvowel(char ch){
    ch = tolower(ch);
    return (ch == 'a' || ch == 'e' || ch == 'i' || ch == 'o' || ch == 'u');
}
  
inline bool isprime(int n){
    if(n < 2 || (n%2 == 0 && n != 2)) return false;
    for(int i = 3; i*i <= n; i++)
        if(n%i == 0) return false;
    return true;
}
 
class Union{
    private:
        vector <int> saizu, link;
    public:
        Union(int n){
            saizu.assign(n, 1); link.resize(n); 
            iota(all(link), 0);
        }
        int find(int n){
            if(link[n] == n) return n;
            return link[n] = find(link[n]);
        }
        int same(int a, int b){
            return find(a) == find(b);
        }
        void unite(int a, int b){
            if(same(a, b)) return;
             
            a = find(a); b = find(b);
            if(saizu[a] < saizu[b]) swap(a, b);
             
            saizu[a] += saizu[b];
            link[b] = a;
        }
        int getsize(int a){
            return saizu[find(a)];
        }
};
 
const int mod = 1e9+7;
 
ll mode(ll a){
    a %= mod;
    if(a < 0) a += mod;
    return a;
}
 
ll subt(ll a, ll b){
    return mode(mode(a)-mode(b));
}
 
ll add(ll a, ll b){
    return mode(mode(a)+mode(b));
}
 
ll mult(ll a, ll b){
    return mode(mode(a)*mode(b));
}
 
ll binpow(ll a, ll b){
    ll res = 1;
    while(b){
        if(b&1) res = mult(res, a);
        a = mult(a, a);
        b >>= 1;
    }
    return res;
}

#define vl vector <ll> 

const int N = 1e5+7;
ll n, k;

ll rect_size(ll x1, ll y1, ll x2, ll y2){
    return (x2-x1+1)*(y2-y1+1);
}

ll pref(ll x, ll y, ll div){
    ll res = 0;
    ll x_full = x-(x+1)%div, y_full = y-(y+1)%div;
    ll full_s1 = (x_full+1)/div, full_s2 = (y_full+1)/div;
    res += ((full_s1*full_s2)&1 ? full_s1*full_s2/2+1 : full_s1*full_s2/2)*div*div;
    
    ll tmp;
    if(((y_full+1)/div)&1){
        int flag = x/div+y_full/div;
        if(flag%2 == 0){
            res += ((x+1)%div)*((y_full+1)/div/2+1)*div;
        }
        else{
            res += ((x+1)%div)*((y_full+1)/div/2)*div;
        }
    }
    else{
        tmp = (y_full+1)/2*((x+1)%div);
        res += tmp;
    }
    if(((x_full+1)/div)&1){
        int flag = y/div+x_full/div;
        if(flag%2 == 0){
            res += ((y+1)%div)*((x_full+1)/div/2+1)*div;
        }
        else{
            res += ((y+1)%div)*((x_full+1)/2/div)*div;
        }
    }
    else{
        tmp = (x_full+1)/2*((y+1)%div);
        res += tmp;
    }
    
    int flag = x/div+y/div;
    if(flag%2 == 0){
        res += rect_size(x_full+1, y_full+1, x, y);
    }
    
    return res;
}

ll calc1(ll div, vl x1, vl y1, vl x2, vl y2){
    ll to_white = 0, to_black = ((n*n/div/div)&1 ? (n*n/div/div/2+1)*div*div : (n*n/2));
    for(ll i = 0; i < k; i++){
        ll blacks_in = pref(x2[i], y2[i], div)-(x1[i]-1 > -1 ? pref(x1[i]-1, y2[i], div) : 0)-(y1[i]-1 > -1 ? pref(x2[i], y1[i]-1, div) : 0)+
                      ((x1[i]-1 > -1) && (y1[i]-1 > -1) ? pref(x1[i]-1, y1[i]-1, div) : 0);
        to_black -= blacks_in;
        to_white += rect_size(x1[i], y1[i], x2[i], y2[i])-blacks_in;
    }
    
    return to_white+to_black;
}

int main(){
    do_not_disturb
    
    ll ans = 9e18, i;
    cin >> n >> k;
    vector <ll> x1(k), y1(k), x2(k), y2(k);
    
    for(i = 0; i < k; i++){
        cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
        x1[i]--; y1[i]--; x2[i]--; y2[i]--;
    }
    
    for(i = 1; i*i <= n; i++){
        if(n%i == 0){
            auto tmp = calc1(i, x1, y1, x2, y2);
            ans = min(ans, min(tmp, n*n-tmp));
            if(i > 1){
                tmp = calc1(n/i, x1, y1, x2, y2);
                ans = min(ans, min(tmp, n*n-tmp));
            }
        }
    }
    
    cout << ans << endl;
    
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 40 ms 5612 KB Output is correct
2 Correct 11 ms 1772 KB Output is correct
3 Correct 25 ms 3564 KB Output is correct
4 Correct 27 ms 4076 KB Output is correct
5 Correct 34 ms 4588 KB Output is correct
6 Correct 23 ms 3180 KB Output is correct
7 Correct 5 ms 1012 KB Output is correct
8 Correct 22 ms 3308 KB Output is correct
9 Correct 56 ms 6784 KB Output is correct
10 Correct 32 ms 4224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 368 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 368 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 25 ms 2540 KB Output is correct
17 Correct 45 ms 6636 KB Output is correct
18 Correct 94 ms 7600 KB Output is correct
19 Correct 486 ms 6960 KB Output is correct
20 Correct 540 ms 7764 KB Output is correct
21 Correct 44 ms 6508 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 70 ms 3728 KB Output is correct
24 Correct 82 ms 7020 KB Output is correct
25 Correct 14 ms 1004 KB Output is correct
26 Correct 52 ms 4880 KB Output is correct
27 Correct 90 ms 5660 KB Output is correct
28 Correct 88 ms 7404 KB Output is correct
29 Correct 19 ms 2924 KB Output is correct
30 Correct 4 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 40 ms 5612 KB Output is correct
2 Correct 11 ms 1772 KB Output is correct
3 Correct 25 ms 3564 KB Output is correct
4 Correct 27 ms 4076 KB Output is correct
5 Correct 34 ms 4588 KB Output is correct
6 Correct 23 ms 3180 KB Output is correct
7 Correct 5 ms 1012 KB Output is correct
8 Correct 22 ms 3308 KB Output is correct
9 Correct 56 ms 6784 KB Output is correct
10 Correct 32 ms 4224 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 368 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 2 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 25 ms 2540 KB Output is correct
27 Correct 45 ms 6636 KB Output is correct
28 Correct 94 ms 7600 KB Output is correct
29 Correct 486 ms 6960 KB Output is correct
30 Correct 540 ms 7764 KB Output is correct
31 Correct 44 ms 6508 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 70 ms 3728 KB Output is correct
34 Correct 82 ms 7020 KB Output is correct
35 Correct 14 ms 1004 KB Output is correct
36 Correct 52 ms 4880 KB Output is correct
37 Correct 90 ms 5660 KB Output is correct
38 Correct 88 ms 7404 KB Output is correct
39 Correct 19 ms 2924 KB Output is correct
40 Correct 4 ms 492 KB Output is correct
41 Correct 430 ms 6452 KB Output is correct
42 Correct 98 ms 7020 KB Output is correct
43 Correct 224 ms 6468 KB Output is correct
44 Correct 95 ms 6832 KB Output is correct
45 Correct 60 ms 7276 KB Output is correct
46 Correct 495 ms 7032 KB Output is correct
47 Correct 53 ms 6380 KB Output is correct
48 Correct 160 ms 6576 KB Output is correct
49 Correct 87 ms 6384 KB Output is correct
50 Execution timed out 2029 ms 6980 KB Time limit exceeded
51 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 40 ms 5612 KB Output is correct
10 Correct 11 ms 1772 KB Output is correct
11 Correct 25 ms 3564 KB Output is correct
12 Correct 27 ms 4076 KB Output is correct
13 Correct 34 ms 4588 KB Output is correct
14 Correct 23 ms 3180 KB Output is correct
15 Correct 5 ms 1012 KB Output is correct
16 Correct 22 ms 3308 KB Output is correct
17 Correct 56 ms 6784 KB Output is correct
18 Correct 32 ms 4224 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 368 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 2 ms 364 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 25 ms 2540 KB Output is correct
35 Correct 45 ms 6636 KB Output is correct
36 Correct 94 ms 7600 KB Output is correct
37 Correct 486 ms 6960 KB Output is correct
38 Correct 540 ms 7764 KB Output is correct
39 Correct 44 ms 6508 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 70 ms 3728 KB Output is correct
42 Correct 82 ms 7020 KB Output is correct
43 Correct 14 ms 1004 KB Output is correct
44 Correct 52 ms 4880 KB Output is correct
45 Correct 90 ms 5660 KB Output is correct
46 Correct 88 ms 7404 KB Output is correct
47 Correct 19 ms 2924 KB Output is correct
48 Correct 4 ms 492 KB Output is correct
49 Correct 430 ms 6452 KB Output is correct
50 Correct 98 ms 7020 KB Output is correct
51 Correct 224 ms 6468 KB Output is correct
52 Correct 95 ms 6832 KB Output is correct
53 Correct 60 ms 7276 KB Output is correct
54 Correct 495 ms 7032 KB Output is correct
55 Correct 53 ms 6380 KB Output is correct
56 Correct 160 ms 6576 KB Output is correct
57 Correct 87 ms 6384 KB Output is correct
58 Execution timed out 2029 ms 6980 KB Time limit exceeded
59 Halted 0 ms 0 KB -