Submission #683543

# Submission time Handle Problem Language Result Execution time Memory
683543 2023-01-18T16:48:38 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
904 ms 1844 KB
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned ll
#define f first
#define s second
#define pii pair<ll,ll>
#define pll pair<ll,ll>
#define pb push_back
#define epb emplace_back
using namespace std;
/*
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
*/

int pos[100001][2];

ll compute_line(ll x1, ll y1, ll x2, ll y2, ll k){
    ll u = (x1 / k) + (y1 / k);
    ll v = (x2 / k) + (y2 / k);
    ll a = (x2 - x1 + 1);
    ll b = (y2 - y1 + 1);
    ll cnt = 0;
    if(u % 2 == v % 2){
        if(u & 1){
            cnt -=  k * a;
        }
        else cnt += k * a;
    }
    ll c = k - (y2 % k);
    if(u & 1){
        cnt -= c * a;
    }
    else cnt += c * a;
    ll d = y1 % k;
    d++;
    if(v & 1) cnt -= d * a;
    else cnt += d * a;
    return cnt;
}

ll C(ll x1, ll y1, ll x2, ll y2, ll k){
    if(x1 / k == x2 / k){
        if(y1 / k == y2 / k){
            ll x = x1 / k + y1 / k;
            if(x % 2) return -(x2 - x1 + 1) * (y2 - y1 + 1);
            return (x2 - x1 + 1) * (y2 - y1 + 1);
        }
        return compute_line(x1, y1, x2, y2, k);
    }
    if(y1 / k == y2 / k)
        return compute_line(y1, x1, y2, x2, k);
    ll cnt = 0;
    cnt += compute_line(x1, y1, x1 / k * k + (k - 1), y2, k);
    cnt += compute_line(x2 / k * k, y1, x2, y2, k);
    ll v = x2 / k;
    v -= x1 / k;
    v--;
    if(v > 0){
        ll j = x1 / k * k + k;
        ll nw = compute_line(j, y1, j + k - 1, y2, k);
        if(v & 1) cnt += nw;
    }
    return cnt;
}

int main(){
  //  freopen("school.in", "r", stdin);
 // freopen("school.out", "w", stdout);
    int n, k;
    cin >> n >> k;
    int x1[k + 1], x2[k + 1], y1[k + 1], y2[k + 1];
    for(int i =  1; i <= k; ++i){
        cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
        x1[i]--;
        y1[i]--;
        x2[i]--;
        y2[i]--;
    }
    ll ans = 1e18 + 1;
    for(ll a = 1; a <n; a++){
        if(n % a) continue;
        ll v = n / a;
        ll cnt = 0;
        if(v % 2 == 1)
            cnt += v * (v / 2) + (v + 1)  / 2;
        else cnt = v * v / 2;
        cnt *= a * a;
        for(int i = 1; i <= k; i++){
            cnt -= C(x1[i], y1[i], x2[i], y2[i], a);
        }
        ans = min(ans, cnt);
    }
    for(ll a = 1; a <n; a++){
        if(n % a) continue;
        ll v = n / a;
        ll cnt = -1;
        if(v % 2 == 1)
            cnt += v * (v / 2) + (v + 1) / 2;
        else cnt = v * v / 2;
        cnt *= a * a;
        for(int i = 1; i <= k; i++)
            cnt += C(x1[i], y1[i], x2[i], y2[i], a);
        ans = min(ans, cnt);
    }
    cout << ans;
    return 0;
}

Compilation message

chessboard.cpp: In function 'long long int compute_line(long long int, long long int, long long int, long long int, long long int)':
chessboard.cpp:29:8: warning: unused variable 'b' [-Wunused-variable]
   29 |     ll b = (y2 - y1 + 1);
      |        ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 1264 KB Output is correct
2 Correct 18 ms 468 KB Output is correct
3 Correct 44 ms 852 KB Output is correct
4 Correct 54 ms 980 KB Output is correct
5 Correct 58 ms 1108 KB Output is correct
6 Correct 37 ms 724 KB Output is correct
7 Correct 8 ms 416 KB Output is correct
8 Correct 38 ms 724 KB Output is correct
9 Correct 93 ms 1692 KB Output is correct
10 Correct 55 ms 1080 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 212 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 268 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 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 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 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 212 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 268 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 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 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 27 ms 724 KB Output is correct
17 Correct 73 ms 1600 KB Output is correct
18 Correct 94 ms 1748 KB Output is correct
19 Correct 188 ms 1668 KB Output is correct
20 Correct 212 ms 1840 KB Output is correct
21 Correct 79 ms 1492 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 53 ms 852 KB Output is correct
24 Correct 82 ms 1692 KB Output is correct
25 Correct 10 ms 340 KB Output is correct
26 Correct 54 ms 1108 KB Output is correct
27 Correct 68 ms 1364 KB Output is correct
28 Correct 88 ms 1748 KB Output is correct
29 Correct 31 ms 852 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 1264 KB Output is correct
2 Correct 18 ms 468 KB Output is correct
3 Correct 44 ms 852 KB Output is correct
4 Correct 54 ms 980 KB Output is correct
5 Correct 58 ms 1108 KB Output is correct
6 Correct 37 ms 724 KB Output is correct
7 Correct 8 ms 416 KB Output is correct
8 Correct 38 ms 724 KB Output is correct
9 Correct 93 ms 1692 KB Output is correct
10 Correct 55 ms 1080 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 212 KB Output is correct
14 Correct 2 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 268 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 27 ms 724 KB Output is correct
27 Correct 73 ms 1600 KB Output is correct
28 Correct 94 ms 1748 KB Output is correct
29 Correct 188 ms 1668 KB Output is correct
30 Correct 212 ms 1840 KB Output is correct
31 Correct 79 ms 1492 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 53 ms 852 KB Output is correct
34 Correct 82 ms 1692 KB Output is correct
35 Correct 10 ms 340 KB Output is correct
36 Correct 54 ms 1108 KB Output is correct
37 Correct 68 ms 1364 KB Output is correct
38 Correct 88 ms 1748 KB Output is correct
39 Correct 31 ms 852 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 199 ms 1580 KB Output is correct
42 Correct 122 ms 1764 KB Output is correct
43 Correct 135 ms 1580 KB Output is correct
44 Correct 108 ms 1740 KB Output is correct
45 Correct 115 ms 1836 KB Output is correct
46 Correct 219 ms 1748 KB Output is correct
47 Correct 90 ms 1624 KB Output is correct
48 Correct 123 ms 1620 KB Output is correct
49 Correct 102 ms 1596 KB Output is correct
50 Correct 725 ms 1704 KB Output is correct
51 Correct 769 ms 1748 KB Output is correct
52 Correct 724 ms 1692 KB Output is correct
53 Correct 785 ms 1748 KB Output is correct
54 Correct 718 ms 1668 KB Output is correct
55 Correct 807 ms 1844 KB Output is correct
56 Correct 695 ms 1632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 70 ms 1264 KB Output is correct
10 Correct 18 ms 468 KB Output is correct
11 Correct 44 ms 852 KB Output is correct
12 Correct 54 ms 980 KB Output is correct
13 Correct 58 ms 1108 KB Output is correct
14 Correct 37 ms 724 KB Output is correct
15 Correct 8 ms 416 KB Output is correct
16 Correct 38 ms 724 KB Output is correct
17 Correct 93 ms 1692 KB Output is correct
18 Correct 55 ms 1080 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 212 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 268 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 27 ms 724 KB Output is correct
35 Correct 73 ms 1600 KB Output is correct
36 Correct 94 ms 1748 KB Output is correct
37 Correct 188 ms 1668 KB Output is correct
38 Correct 212 ms 1840 KB Output is correct
39 Correct 79 ms 1492 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 53 ms 852 KB Output is correct
42 Correct 82 ms 1692 KB Output is correct
43 Correct 10 ms 340 KB Output is correct
44 Correct 54 ms 1108 KB Output is correct
45 Correct 68 ms 1364 KB Output is correct
46 Correct 88 ms 1748 KB Output is correct
47 Correct 31 ms 852 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 199 ms 1580 KB Output is correct
50 Correct 122 ms 1764 KB Output is correct
51 Correct 135 ms 1580 KB Output is correct
52 Correct 108 ms 1740 KB Output is correct
53 Correct 115 ms 1836 KB Output is correct
54 Correct 219 ms 1748 KB Output is correct
55 Correct 90 ms 1624 KB Output is correct
56 Correct 123 ms 1620 KB Output is correct
57 Correct 102 ms 1596 KB Output is correct
58 Correct 725 ms 1704 KB Output is correct
59 Correct 769 ms 1748 KB Output is correct
60 Correct 724 ms 1692 KB Output is correct
61 Correct 785 ms 1748 KB Output is correct
62 Correct 718 ms 1668 KB Output is correct
63 Correct 807 ms 1844 KB Output is correct
64 Correct 695 ms 1632 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Incorrect 904 ms 1752 KB Output isn't correct
68 Halted 0 ms 0 KB -