Submission #683539

# Submission time Handle Problem Language Result Execution time Memory
683539 2023-01-18T16:42:14 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
942 ms 1868 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 1 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 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 1264 KB Output is correct
2 Correct 21 ms 560 KB Output is correct
3 Correct 66 ms 900 KB Output is correct
4 Correct 44 ms 1004 KB Output is correct
5 Correct 61 ms 1108 KB Output is correct
6 Correct 48 ms 724 KB Output is correct
7 Correct 10 ms 340 KB Output is correct
8 Correct 40 ms 852 KB Output is correct
9 Correct 108 ms 1692 KB Output is correct
10 Correct 54 ms 1068 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 2 ms 212 KB Output is correct
8 Correct 2 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 2 ms 212 KB Output is correct
14 Correct 2 ms 212 KB Output is correct
15 Correct 2 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 2 ms 212 KB Output is correct
8 Correct 2 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 2 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 28 ms 724 KB Output is correct
17 Correct 73 ms 1620 KB Output is correct
18 Correct 105 ms 1748 KB Output is correct
19 Correct 246 ms 1664 KB Output is correct
20 Correct 218 ms 1828 KB Output is correct
21 Correct 75 ms 1544 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 63 ms 956 KB Output is correct
24 Correct 97 ms 1696 KB Output is correct
25 Correct 10 ms 340 KB Output is correct
26 Correct 60 ms 1168 KB Output is correct
27 Correct 85 ms 1364 KB Output is correct
28 Correct 104 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 77 ms 1264 KB Output is correct
2 Correct 21 ms 560 KB Output is correct
3 Correct 66 ms 900 KB Output is correct
4 Correct 44 ms 1004 KB Output is correct
5 Correct 61 ms 1108 KB Output is correct
6 Correct 48 ms 724 KB Output is correct
7 Correct 10 ms 340 KB Output is correct
8 Correct 40 ms 852 KB Output is correct
9 Correct 108 ms 1692 KB Output is correct
10 Correct 54 ms 1068 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 2 ms 212 KB Output is correct
18 Correct 2 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 2 ms 212 KB Output is correct
24 Correct 2 ms 212 KB Output is correct
25 Correct 2 ms 212 KB Output is correct
26 Correct 28 ms 724 KB Output is correct
27 Correct 73 ms 1620 KB Output is correct
28 Correct 105 ms 1748 KB Output is correct
29 Correct 246 ms 1664 KB Output is correct
30 Correct 218 ms 1828 KB Output is correct
31 Correct 75 ms 1544 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 63 ms 956 KB Output is correct
34 Correct 97 ms 1696 KB Output is correct
35 Correct 10 ms 340 KB Output is correct
36 Correct 60 ms 1168 KB Output is correct
37 Correct 85 ms 1364 KB Output is correct
38 Correct 104 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 188 ms 1580 KB Output is correct
42 Correct 115 ms 1752 KB Output is correct
43 Correct 145 ms 1492 KB Output is correct
44 Correct 116 ms 1620 KB Output is correct
45 Correct 105 ms 1820 KB Output is correct
46 Correct 228 ms 1748 KB Output is correct
47 Correct 116 ms 1620 KB Output is correct
48 Correct 129 ms 1620 KB Output is correct
49 Correct 101 ms 1596 KB Output is correct
50 Correct 771 ms 1620 KB Output is correct
51 Correct 828 ms 1868 KB Output is correct
52 Correct 753 ms 1740 KB Output is correct
53 Correct 812 ms 1792 KB Output is correct
54 Correct 734 ms 1676 KB Output is correct
55 Correct 816 ms 1840 KB Output is correct
56 Correct 718 ms 1620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 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 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 77 ms 1264 KB Output is correct
10 Correct 21 ms 560 KB Output is correct
11 Correct 66 ms 900 KB Output is correct
12 Correct 44 ms 1004 KB Output is correct
13 Correct 61 ms 1108 KB Output is correct
14 Correct 48 ms 724 KB Output is correct
15 Correct 10 ms 340 KB Output is correct
16 Correct 40 ms 852 KB Output is correct
17 Correct 108 ms 1692 KB Output is correct
18 Correct 54 ms 1068 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 2 ms 212 KB Output is correct
26 Correct 2 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 2 ms 212 KB Output is correct
32 Correct 2 ms 212 KB Output is correct
33 Correct 2 ms 212 KB Output is correct
34 Correct 28 ms 724 KB Output is correct
35 Correct 73 ms 1620 KB Output is correct
36 Correct 105 ms 1748 KB Output is correct
37 Correct 246 ms 1664 KB Output is correct
38 Correct 218 ms 1828 KB Output is correct
39 Correct 75 ms 1544 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 63 ms 956 KB Output is correct
42 Correct 97 ms 1696 KB Output is correct
43 Correct 10 ms 340 KB Output is correct
44 Correct 60 ms 1168 KB Output is correct
45 Correct 85 ms 1364 KB Output is correct
46 Correct 104 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 188 ms 1580 KB Output is correct
50 Correct 115 ms 1752 KB Output is correct
51 Correct 145 ms 1492 KB Output is correct
52 Correct 116 ms 1620 KB Output is correct
53 Correct 105 ms 1820 KB Output is correct
54 Correct 228 ms 1748 KB Output is correct
55 Correct 116 ms 1620 KB Output is correct
56 Correct 129 ms 1620 KB Output is correct
57 Correct 101 ms 1596 KB Output is correct
58 Correct 771 ms 1620 KB Output is correct
59 Correct 828 ms 1868 KB Output is correct
60 Correct 753 ms 1740 KB Output is correct
61 Correct 812 ms 1792 KB Output is correct
62 Correct 734 ms 1676 KB Output is correct
63 Correct 816 ms 1840 KB Output is correct
64 Correct 718 ms 1620 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Incorrect 942 ms 1748 KB Output isn't correct
68 Halted 0 ms 0 KB -