Submission #962462

# Submission time Handle Problem Language Result Execution time Memory
962462 2024-04-13T15:24:33 Z Cookie Chessboard (IZhO18_chessboard) C++14
70 / 100
345 ms 15016 KB
#include<bits/stdc++.h>
#include<fstream>
using namespace std;
#define sz(a) (int)a.size()
#define ALL(v) v.begin(), v.end()
#define ALLR(v) v.rbegin(), v.rend()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mpp make_pair
const ld PI = 3.14159265359, prec = 1e-9;;
//using u128 = __uint128_t;
//const int x[4] = {1, 0, -1, 0};
//const int y[4] = {0, -1, 0, 1};
const ll mod = 1e9 + 7, pr = 31;
const int mxn = 5e5 + 5, mxq = 1e5 + 5, sq = 450, mxv = 5e4 + 1;
//const int base = (1 <<18);
const ll inf = 1e18 + 5, neg = -69420, inf2 = 1e14;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// have fun!
ll n, k;
ll ans = inf;
ll x[mxn + 1], y[mxn + 1], x2[mxn + 1], y2[mxn + 1];
ll cntodd(ll l, ll r){
    return((r + 1) / 2 - l / 2);
}
ll cnteven(ll l, ll r){
    return((r + 2) / 2 - (l + 1) / 2);
}
pll get(ll l, ll r, ll k){
    ll lw = (l + k - 1) / k, hg = (r - k + 1) / k;
   
    ll odd = 0, even = 0;
    if(r / k == l / k){
        if((r / k) & 1)odd += r - l + 1;
        else even += r - l + 1;
        return(mpp(odd, even));
    }
    odd += cntodd(lw, hg) * k; even += cnteven(lw, hg) * k;
    
    if(l % k != 0){
        if((l / k) & 1){
            odd += (k - (l % k));
        }else{
            even += (k - (l % k));
        }
    }if(r % k != k - 1){
        if((r / k) & 1){
            odd += (r % k) + 1;
        }else{
            even += (r % k) + 1;
        }
    }
    
    return(mpp(odd, even));
}
ll area = 0;
void solve(int cand){
    
    ll odd = 0, even = 0;
    for(int i = 1; i <= k; i++){
        pll col = get(y[i], y2[i], cand), row = get(x[i], x2[i], cand);
        //cout << col.fi << " " << col.se << " " << row.fi << " " << row.se << "\n";
        odd += col.fi * row.se + col.se * row.fi; even += col.fi * row.fi + col.se * row.se;
        
    }
    ll totodd = 0, toteven = 0;
    if((n / cand) & 1){
        toteven = (n * n / (cand * cand) + 1) / 2 * cand * cand;
        totodd = (n * n / (cand * cand)) / 2 * cand * cand;
    }else{
        toteven = (n * n / (cand * cand)) / 2 * cand * cand;
        totodd = (n * n / (cand * cand)) / 2 * cand * cand;
    }
    assert(even + odd == area);
    //cout << cand << " " << even << " " << odd << "\n";
    ans = min(ans, min(abs(toteven - even) + area - even, abs(totodd - odd) + area - odd));
}
void solve(){
    cin >> n >> k;
    assert(max(n, k) <= 100000);
    for(int i = 1; i <= k; i++){
        cin >> x[i] >> y[i] >> x2[i] >> y2[i]; --x[i]; --y[i]; --x2[i]; --y2[i];
        area += (y2[i] - y[i] + 1) * (x2[i] - x[i] + 1);
    }
    for(int i = 1; i < n; i++){
        if(n % i == 0){
            solve(i);
        }
    }
    cout << ans;
}
signed main(){
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    //freopen("netw.inp", "r", stdin);
    //freopen("netw.out", "w", stdout)
    int tt; tt = 1;
    while(tt--){
        solve();
 
    }
    return(0);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 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 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 10844 KB Output is correct
2 Correct 5 ms 6744 KB Output is correct
3 Correct 13 ms 8796 KB Output is correct
4 Correct 14 ms 8796 KB Output is correct
5 Correct 16 ms 10844 KB Output is correct
6 Correct 11 ms 8792 KB Output is correct
7 Correct 4 ms 6616 KB Output is correct
8 Correct 11 ms 8684 KB Output is correct
9 Correct 27 ms 12936 KB Output is correct
10 Correct 18 ms 10844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 2 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6744 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 2 ms 6644 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 2 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6744 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 2 ms 6644 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6632 KB Output is correct
16 Correct 8 ms 8800 KB Output is correct
17 Correct 22 ms 12940 KB Output is correct
18 Correct 30 ms 15016 KB Output is correct
19 Correct 74 ms 12956 KB Output is correct
20 Correct 80 ms 15004 KB Output is correct
21 Correct 21 ms 13168 KB Output is correct
22 Correct 1 ms 6496 KB Output is correct
23 Correct 16 ms 8796 KB Output is correct
24 Correct 28 ms 12952 KB Output is correct
25 Correct 5 ms 6504 KB Output is correct
26 Correct 17 ms 10912 KB Output is correct
27 Correct 23 ms 10808 KB Output is correct
28 Correct 28 ms 12904 KB Output is correct
29 Correct 11 ms 8808 KB Output is correct
30 Correct 2 ms 6504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 10844 KB Output is correct
2 Correct 5 ms 6744 KB Output is correct
3 Correct 13 ms 8796 KB Output is correct
4 Correct 14 ms 8796 KB Output is correct
5 Correct 16 ms 10844 KB Output is correct
6 Correct 11 ms 8792 KB Output is correct
7 Correct 4 ms 6616 KB Output is correct
8 Correct 11 ms 8684 KB Output is correct
9 Correct 27 ms 12936 KB Output is correct
10 Correct 18 ms 10844 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6744 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 2 ms 6644 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 1 ms 6632 KB Output is correct
26 Correct 8 ms 8800 KB Output is correct
27 Correct 22 ms 12940 KB Output is correct
28 Correct 30 ms 15016 KB Output is correct
29 Correct 74 ms 12956 KB Output is correct
30 Correct 80 ms 15004 KB Output is correct
31 Correct 21 ms 13168 KB Output is correct
32 Correct 1 ms 6496 KB Output is correct
33 Correct 16 ms 8796 KB Output is correct
34 Correct 28 ms 12952 KB Output is correct
35 Correct 5 ms 6504 KB Output is correct
36 Correct 17 ms 10912 KB Output is correct
37 Correct 23 ms 10808 KB Output is correct
38 Correct 28 ms 12904 KB Output is correct
39 Correct 11 ms 8808 KB Output is correct
40 Correct 2 ms 6504 KB Output is correct
41 Correct 70 ms 12960 KB Output is correct
42 Correct 32 ms 12932 KB Output is correct
43 Correct 41 ms 12888 KB Output is correct
44 Correct 30 ms 12952 KB Output is correct
45 Correct 29 ms 14952 KB Output is correct
46 Correct 79 ms 12904 KB Output is correct
47 Correct 26 ms 12904 KB Output is correct
48 Correct 39 ms 12940 KB Output is correct
49 Correct 38 ms 2920 KB Output is correct
50 Correct 288 ms 12940 KB Output is correct
51 Correct 308 ms 14996 KB Output is correct
52 Correct 287 ms 12904 KB Output is correct
53 Correct 301 ms 15012 KB Output is correct
54 Correct 281 ms 7784 KB Output is correct
55 Correct 319 ms 14992 KB Output is correct
56 Correct 273 ms 12944 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 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 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 19 ms 10844 KB Output is correct
10 Correct 5 ms 6744 KB Output is correct
11 Correct 13 ms 8796 KB Output is correct
12 Correct 14 ms 8796 KB Output is correct
13 Correct 16 ms 10844 KB Output is correct
14 Correct 11 ms 8792 KB Output is correct
15 Correct 4 ms 6616 KB Output is correct
16 Correct 11 ms 8684 KB Output is correct
17 Correct 27 ms 12936 KB Output is correct
18 Correct 18 ms 10844 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 6492 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 1 ms 6744 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 2 ms 6644 KB Output is correct
32 Correct 1 ms 6492 KB Output is correct
33 Correct 1 ms 6632 KB Output is correct
34 Correct 8 ms 8800 KB Output is correct
35 Correct 22 ms 12940 KB Output is correct
36 Correct 30 ms 15016 KB Output is correct
37 Correct 74 ms 12956 KB Output is correct
38 Correct 80 ms 15004 KB Output is correct
39 Correct 21 ms 13168 KB Output is correct
40 Correct 1 ms 6496 KB Output is correct
41 Correct 16 ms 8796 KB Output is correct
42 Correct 28 ms 12952 KB Output is correct
43 Correct 5 ms 6504 KB Output is correct
44 Correct 17 ms 10912 KB Output is correct
45 Correct 23 ms 10808 KB Output is correct
46 Correct 28 ms 12904 KB Output is correct
47 Correct 11 ms 8808 KB Output is correct
48 Correct 2 ms 6504 KB Output is correct
49 Correct 70 ms 12960 KB Output is correct
50 Correct 32 ms 12932 KB Output is correct
51 Correct 41 ms 12888 KB Output is correct
52 Correct 30 ms 12952 KB Output is correct
53 Correct 29 ms 14952 KB Output is correct
54 Correct 79 ms 12904 KB Output is correct
55 Correct 26 ms 12904 KB Output is correct
56 Correct 39 ms 12940 KB Output is correct
57 Correct 38 ms 2920 KB Output is correct
58 Correct 288 ms 12940 KB Output is correct
59 Correct 308 ms 14996 KB Output is correct
60 Correct 287 ms 12904 KB Output is correct
61 Correct 301 ms 15012 KB Output is correct
62 Correct 281 ms 7784 KB Output is correct
63 Correct 319 ms 14992 KB Output is correct
64 Correct 273 ms 12944 KB Output is correct
65 Correct 1 ms 360 KB Output is correct
66 Correct 1 ms 360 KB Output is correct
67 Correct 345 ms 12948 KB Output is correct
68 Correct 341 ms 11056 KB Output is correct
69 Correct 302 ms 10960 KB Output is correct
70 Correct 326 ms 11032 KB Output is correct
71 Correct 322 ms 12684 KB Output is correct
72 Correct 317 ms 10844 KB Output is correct
73 Correct 322 ms 10992 KB Output is correct
74 Correct 340 ms 12928 KB Output is correct
75 Correct 335 ms 12892 KB Output is correct
76 Correct 340 ms 12928 KB Output is correct
77 Incorrect 72 ms 14940 KB Output isn't correct
78 Halted 0 ms 0 KB -