Submission #683545

# Submission time Handle Problem Language Result Execution time Memory
683545 2023-01-18T16:50:17 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
957 ms 1848 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 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 1264 KB Output is correct
2 Correct 17 ms 560 KB Output is correct
3 Correct 42 ms 912 KB Output is correct
4 Correct 44 ms 1004 KB Output is correct
5 Correct 59 ms 1140 KB Output is correct
6 Correct 44 ms 828 KB Output is correct
7 Correct 9 ms 416 KB Output is correct
8 Correct 37 ms 724 KB Output is correct
9 Correct 96 ms 1696 KB Output is correct
10 Correct 53 ms 1072 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 2 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 2 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 30 ms 724 KB Output is correct
17 Correct 70 ms 1492 KB Output is correct
18 Correct 111 ms 1748 KB Output is correct
19 Correct 196 ms 1668 KB Output is correct
20 Correct 221 ms 1748 KB Output is correct
21 Correct 70 ms 1548 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 50 ms 948 KB Output is correct
24 Correct 89 ms 1688 KB Output is correct
25 Correct 10 ms 436 KB Output is correct
26 Correct 57 ms 1172 KB Output is correct
27 Correct 79 ms 1340 KB Output is correct
28 Correct 103 ms 1776 KB Output is correct
29 Correct 32 ms 824 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 1264 KB Output is correct
2 Correct 17 ms 560 KB Output is correct
3 Correct 42 ms 912 KB Output is correct
4 Correct 44 ms 1004 KB Output is correct
5 Correct 59 ms 1140 KB Output is correct
6 Correct 44 ms 828 KB Output is correct
7 Correct 9 ms 416 KB Output is correct
8 Correct 37 ms 724 KB Output is correct
9 Correct 96 ms 1696 KB Output is correct
10 Correct 53 ms 1072 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 2 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 30 ms 724 KB Output is correct
27 Correct 70 ms 1492 KB Output is correct
28 Correct 111 ms 1748 KB Output is correct
29 Correct 196 ms 1668 KB Output is correct
30 Correct 221 ms 1748 KB Output is correct
31 Correct 70 ms 1548 KB Output is correct
32 Correct 2 ms 212 KB Output is correct
33 Correct 50 ms 948 KB Output is correct
34 Correct 89 ms 1688 KB Output is correct
35 Correct 10 ms 436 KB Output is correct
36 Correct 57 ms 1172 KB Output is correct
37 Correct 79 ms 1340 KB Output is correct
38 Correct 103 ms 1776 KB Output is correct
39 Correct 32 ms 824 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 207 ms 1576 KB Output is correct
42 Correct 138 ms 1756 KB Output is correct
43 Correct 146 ms 1492 KB Output is correct
44 Correct 115 ms 1704 KB Output is correct
45 Correct 111 ms 1816 KB Output is correct
46 Correct 228 ms 1748 KB Output is correct
47 Correct 118 ms 1620 KB Output is correct
48 Correct 129 ms 1620 KB Output is correct
49 Correct 104 ms 1596 KB Output is correct
50 Correct 749 ms 1724 KB Output is correct
51 Correct 814 ms 1748 KB Output is correct
52 Correct 769 ms 1696 KB Output is correct
53 Correct 776 ms 1788 KB Output is correct
54 Correct 704 ms 1672 KB Output is correct
55 Correct 814 ms 1848 KB Output is correct
56 Correct 731 ms 1628 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 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 70 ms 1264 KB Output is correct
10 Correct 17 ms 560 KB Output is correct
11 Correct 42 ms 912 KB Output is correct
12 Correct 44 ms 1004 KB Output is correct
13 Correct 59 ms 1140 KB Output is correct
14 Correct 44 ms 828 KB Output is correct
15 Correct 9 ms 416 KB Output is correct
16 Correct 37 ms 724 KB Output is correct
17 Correct 96 ms 1696 KB Output is correct
18 Correct 53 ms 1072 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 2 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 30 ms 724 KB Output is correct
35 Correct 70 ms 1492 KB Output is correct
36 Correct 111 ms 1748 KB Output is correct
37 Correct 196 ms 1668 KB Output is correct
38 Correct 221 ms 1748 KB Output is correct
39 Correct 70 ms 1548 KB Output is correct
40 Correct 2 ms 212 KB Output is correct
41 Correct 50 ms 948 KB Output is correct
42 Correct 89 ms 1688 KB Output is correct
43 Correct 10 ms 436 KB Output is correct
44 Correct 57 ms 1172 KB Output is correct
45 Correct 79 ms 1340 KB Output is correct
46 Correct 103 ms 1776 KB Output is correct
47 Correct 32 ms 824 KB Output is correct
48 Correct 4 ms 340 KB Output is correct
49 Correct 207 ms 1576 KB Output is correct
50 Correct 138 ms 1756 KB Output is correct
51 Correct 146 ms 1492 KB Output is correct
52 Correct 115 ms 1704 KB Output is correct
53 Correct 111 ms 1816 KB Output is correct
54 Correct 228 ms 1748 KB Output is correct
55 Correct 118 ms 1620 KB Output is correct
56 Correct 129 ms 1620 KB Output is correct
57 Correct 104 ms 1596 KB Output is correct
58 Correct 749 ms 1724 KB Output is correct
59 Correct 814 ms 1748 KB Output is correct
60 Correct 769 ms 1696 KB Output is correct
61 Correct 776 ms 1788 KB Output is correct
62 Correct 704 ms 1672 KB Output is correct
63 Correct 814 ms 1848 KB Output is correct
64 Correct 731 ms 1628 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Incorrect 957 ms 1748 KB Output isn't correct
68 Halted 0 ms 0 KB -