Submission #683538

# Submission time Handle Problem Language Result Execution time Memory
683538 2023-01-18T16:42:02 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
1020 ms 3908 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, x2, 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){
        ll j = x1 / k * k + k;
        ll nw = compute_line(j, y1, j + k, 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 1 ms 260 KB Output is correct
5 Correct 1 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 68 ms 1268 KB Output is correct
2 Correct 18 ms 468 KB Output is correct
3 Correct 48 ms 900 KB Output is correct
4 Correct 52 ms 996 KB Output is correct
5 Correct 79 ms 1136 KB Output is correct
6 Correct 38 ms 828 KB Output is correct
7 Correct 9 ms 416 KB Output is correct
8 Correct 38 ms 724 KB Output is correct
9 Correct 103 ms 1692 KB Output is correct
10 Correct 54 ms 1100 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 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 28 ms 852 KB Output is correct
17 Correct 71 ms 1620 KB Output is correct
18 Correct 97 ms 1840 KB Output is correct
19 Correct 212 ms 1664 KB Output is correct
20 Correct 214 ms 1828 KB Output is correct
21 Correct 67 ms 1548 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 52 ms 852 KB Output is correct
24 Correct 92 ms 1696 KB Output is correct
25 Correct 10 ms 436 KB Output is correct
26 Correct 53 ms 1108 KB Output is correct
27 Correct 71 ms 1364 KB Output is correct
28 Correct 93 ms 1788 KB Output is correct
29 Correct 27 ms 724 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 68 ms 1268 KB Output is correct
2 Correct 18 ms 468 KB Output is correct
3 Correct 48 ms 900 KB Output is correct
4 Correct 52 ms 996 KB Output is correct
5 Correct 79 ms 1136 KB Output is correct
6 Correct 38 ms 828 KB Output is correct
7 Correct 9 ms 416 KB Output is correct
8 Correct 38 ms 724 KB Output is correct
9 Correct 103 ms 1692 KB Output is correct
10 Correct 54 ms 1100 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 212 KB Output is correct
18 Correct 1 ms 212 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 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 28 ms 852 KB Output is correct
27 Correct 71 ms 1620 KB Output is correct
28 Correct 97 ms 1840 KB Output is correct
29 Correct 212 ms 1664 KB Output is correct
30 Correct 214 ms 1828 KB Output is correct
31 Correct 67 ms 1548 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 52 ms 852 KB Output is correct
34 Correct 92 ms 1696 KB Output is correct
35 Correct 10 ms 436 KB Output is correct
36 Correct 53 ms 1108 KB Output is correct
37 Correct 71 ms 1364 KB Output is correct
38 Correct 93 ms 1788 KB Output is correct
39 Correct 27 ms 724 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 208 ms 1576 KB Output is correct
42 Correct 112 ms 2008 KB Output is correct
43 Correct 148 ms 1840 KB Output is correct
44 Correct 109 ms 1904 KB Output is correct
45 Correct 140 ms 2076 KB Output is correct
46 Correct 221 ms 1992 KB Output is correct
47 Correct 104 ms 1892 KB Output is correct
48 Correct 136 ms 1876 KB Output is correct
49 Correct 104 ms 1876 KB Output is correct
50 Correct 815 ms 1960 KB Output is correct
51 Correct 883 ms 2056 KB Output is correct
52 Correct 802 ms 1892 KB Output is correct
53 Correct 856 ms 2044 KB Output is correct
54 Correct 791 ms 1936 KB Output is correct
55 Correct 888 ms 2096 KB Output is correct
56 Correct 796 ms 1884 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 1 ms 260 KB Output is correct
5 Correct 1 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 68 ms 1268 KB Output is correct
10 Correct 18 ms 468 KB Output is correct
11 Correct 48 ms 900 KB Output is correct
12 Correct 52 ms 996 KB Output is correct
13 Correct 79 ms 1136 KB Output is correct
14 Correct 38 ms 828 KB Output is correct
15 Correct 9 ms 416 KB Output is correct
16 Correct 38 ms 724 KB Output is correct
17 Correct 103 ms 1692 KB Output is correct
18 Correct 54 ms 1100 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 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 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 28 ms 852 KB Output is correct
35 Correct 71 ms 1620 KB Output is correct
36 Correct 97 ms 1840 KB Output is correct
37 Correct 212 ms 1664 KB Output is correct
38 Correct 214 ms 1828 KB Output is correct
39 Correct 67 ms 1548 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 52 ms 852 KB Output is correct
42 Correct 92 ms 1696 KB Output is correct
43 Correct 10 ms 436 KB Output is correct
44 Correct 53 ms 1108 KB Output is correct
45 Correct 71 ms 1364 KB Output is correct
46 Correct 93 ms 1788 KB Output is correct
47 Correct 27 ms 724 KB Output is correct
48 Correct 4 ms 340 KB Output is correct
49 Correct 208 ms 1576 KB Output is correct
50 Correct 112 ms 2008 KB Output is correct
51 Correct 148 ms 1840 KB Output is correct
52 Correct 109 ms 1904 KB Output is correct
53 Correct 140 ms 2076 KB Output is correct
54 Correct 221 ms 1992 KB Output is correct
55 Correct 104 ms 1892 KB Output is correct
56 Correct 136 ms 1876 KB Output is correct
57 Correct 104 ms 1876 KB Output is correct
58 Correct 815 ms 1960 KB Output is correct
59 Correct 883 ms 2056 KB Output is correct
60 Correct 802 ms 1892 KB Output is correct
61 Correct 856 ms 2044 KB Output is correct
62 Correct 791 ms 1936 KB Output is correct
63 Correct 888 ms 2096 KB Output is correct
64 Correct 796 ms 1884 KB Output is correct
65 Correct 1 ms 308 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Incorrect 1020 ms 3908 KB Output isn't correct
68 Halted 0 ms 0 KB -