Submission #683541

# Submission time Handle Problem Language Result Execution time Memory
683541 2023-01-18T16:44:22 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
909 ms 1856 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 1 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 68 ms 1268 KB Output is correct
2 Correct 16 ms 556 KB Output is correct
3 Correct 53 ms 852 KB Output is correct
4 Correct 41 ms 1000 KB Output is correct
5 Correct 58 ms 1140 KB Output is correct
6 Correct 37 ms 828 KB Output is correct
7 Correct 8 ms 416 KB Output is correct
8 Correct 47 ms 724 KB Output is correct
9 Correct 98 ms 1712 KB Output is correct
10 Correct 71 ms 1068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 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 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 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 2 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 0 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 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 2 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 31 ms 724 KB Output is correct
17 Correct 69 ms 1620 KB Output is correct
18 Correct 89 ms 1836 KB Output is correct
19 Correct 194 ms 1668 KB Output is correct
20 Correct 214 ms 1824 KB Output is correct
21 Correct 65 ms 1544 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 48 ms 948 KB Output is correct
24 Correct 84 ms 1696 KB Output is correct
25 Correct 10 ms 340 KB Output is correct
26 Correct 53 ms 1172 KB Output is correct
27 Correct 75 ms 1348 KB Output is correct
28 Correct 87 ms 1776 KB Output is correct
29 Correct 28 ms 724 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 68 ms 1268 KB Output is correct
2 Correct 16 ms 556 KB Output is correct
3 Correct 53 ms 852 KB Output is correct
4 Correct 41 ms 1000 KB Output is correct
5 Correct 58 ms 1140 KB Output is correct
6 Correct 37 ms 828 KB Output is correct
7 Correct 8 ms 416 KB Output is correct
8 Correct 47 ms 724 KB Output is correct
9 Correct 98 ms 1712 KB Output is correct
10 Correct 71 ms 1068 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 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 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 2 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 31 ms 724 KB Output is correct
27 Correct 69 ms 1620 KB Output is correct
28 Correct 89 ms 1836 KB Output is correct
29 Correct 194 ms 1668 KB Output is correct
30 Correct 214 ms 1824 KB Output is correct
31 Correct 65 ms 1544 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 48 ms 948 KB Output is correct
34 Correct 84 ms 1696 KB Output is correct
35 Correct 10 ms 340 KB Output is correct
36 Correct 53 ms 1172 KB Output is correct
37 Correct 75 ms 1348 KB Output is correct
38 Correct 87 ms 1776 KB Output is correct
39 Correct 28 ms 724 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 198 ms 1580 KB Output is correct
42 Correct 109 ms 1752 KB Output is correct
43 Correct 140 ms 1584 KB Output is correct
44 Correct 107 ms 1620 KB Output is correct
45 Correct 107 ms 1748 KB Output is correct
46 Correct 210 ms 1748 KB Output is correct
47 Correct 105 ms 1624 KB Output is correct
48 Correct 125 ms 1644 KB Output is correct
49 Correct 99 ms 1492 KB Output is correct
50 Correct 750 ms 1696 KB Output is correct
51 Correct 786 ms 1796 KB Output is correct
52 Correct 726 ms 1696 KB Output is correct
53 Correct 772 ms 1784 KB Output is correct
54 Correct 718 ms 1672 KB Output is correct
55 Correct 802 ms 1856 KB Output is correct
56 Correct 705 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 1 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 68 ms 1268 KB Output is correct
10 Correct 16 ms 556 KB Output is correct
11 Correct 53 ms 852 KB Output is correct
12 Correct 41 ms 1000 KB Output is correct
13 Correct 58 ms 1140 KB Output is correct
14 Correct 37 ms 828 KB Output is correct
15 Correct 8 ms 416 KB Output is correct
16 Correct 47 ms 724 KB Output is correct
17 Correct 98 ms 1712 KB Output is correct
18 Correct 71 ms 1068 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 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 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 2 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 31 ms 724 KB Output is correct
35 Correct 69 ms 1620 KB Output is correct
36 Correct 89 ms 1836 KB Output is correct
37 Correct 194 ms 1668 KB Output is correct
38 Correct 214 ms 1824 KB Output is correct
39 Correct 65 ms 1544 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 48 ms 948 KB Output is correct
42 Correct 84 ms 1696 KB Output is correct
43 Correct 10 ms 340 KB Output is correct
44 Correct 53 ms 1172 KB Output is correct
45 Correct 75 ms 1348 KB Output is correct
46 Correct 87 ms 1776 KB Output is correct
47 Correct 28 ms 724 KB Output is correct
48 Correct 3 ms 340 KB Output is correct
49 Correct 198 ms 1580 KB Output is correct
50 Correct 109 ms 1752 KB Output is correct
51 Correct 140 ms 1584 KB Output is correct
52 Correct 107 ms 1620 KB Output is correct
53 Correct 107 ms 1748 KB Output is correct
54 Correct 210 ms 1748 KB Output is correct
55 Correct 105 ms 1624 KB Output is correct
56 Correct 125 ms 1644 KB Output is correct
57 Correct 99 ms 1492 KB Output is correct
58 Correct 750 ms 1696 KB Output is correct
59 Correct 786 ms 1796 KB Output is correct
60 Correct 726 ms 1696 KB Output is correct
61 Correct 772 ms 1784 KB Output is correct
62 Correct 718 ms 1672 KB Output is correct
63 Correct 802 ms 1856 KB Output is correct
64 Correct 705 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 909 ms 1752 KB Output isn't correct
68 Halted 0 ms 0 KB -