Submission #683542

# Submission time Handle Problem Language Result Execution time Memory
683542 2023-01-18T16:46:45 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
70 / 100
939 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, 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 - 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 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 0 ms 212 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 65 ms 1264 KB Output is correct
2 Correct 18 ms 560 KB Output is correct
3 Correct 46 ms 852 KB Output is correct
4 Correct 43 ms 980 KB Output is correct
5 Correct 76 ms 1140 KB Output is correct
6 Correct 38 ms 724 KB Output is correct
7 Correct 8 ms 340 KB Output is correct
8 Correct 36 ms 852 KB Output is correct
9 Correct 98 ms 1696 KB Output is correct
10 Correct 63 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 316 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 2 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 316 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 2 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 26 ms 724 KB Output is correct
17 Correct 73 ms 1492 KB Output is correct
18 Correct 118 ms 1832 KB Output is correct
19 Correct 188 ms 1664 KB Output is correct
20 Correct 210 ms 1824 KB Output is correct
21 Correct 68 ms 1548 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 49 ms 948 KB Output is correct
24 Correct 87 ms 1620 KB Output is correct
25 Correct 12 ms 444 KB Output is correct
26 Correct 51 ms 1108 KB Output is correct
27 Correct 69 ms 1364 KB Output is correct
28 Correct 86 ms 1776 KB Output is correct
29 Correct 35 ms 808 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 65 ms 1264 KB Output is correct
2 Correct 18 ms 560 KB Output is correct
3 Correct 46 ms 852 KB Output is correct
4 Correct 43 ms 980 KB Output is correct
5 Correct 76 ms 1140 KB Output is correct
6 Correct 38 ms 724 KB Output is correct
7 Correct 8 ms 340 KB Output is correct
8 Correct 36 ms 852 KB Output is correct
9 Correct 98 ms 1696 KB Output is correct
10 Correct 63 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 316 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 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 26 ms 724 KB Output is correct
27 Correct 73 ms 1492 KB Output is correct
28 Correct 118 ms 1832 KB Output is correct
29 Correct 188 ms 1664 KB Output is correct
30 Correct 210 ms 1824 KB Output is correct
31 Correct 68 ms 1548 KB Output is correct
32 Correct 2 ms 212 KB Output is correct
33 Correct 49 ms 948 KB Output is correct
34 Correct 87 ms 1620 KB Output is correct
35 Correct 12 ms 444 KB Output is correct
36 Correct 51 ms 1108 KB Output is correct
37 Correct 69 ms 1364 KB Output is correct
38 Correct 86 ms 1776 KB Output is correct
39 Correct 35 ms 808 KB Output is correct
40 Correct 4 ms 340 KB Output is correct
41 Correct 208 ms 1580 KB Output is correct
42 Correct 112 ms 1748 KB Output is correct
43 Correct 138 ms 1584 KB Output is correct
44 Correct 110 ms 1708 KB Output is correct
45 Correct 110 ms 1752 KB Output is correct
46 Correct 214 ms 1748 KB Output is correct
47 Correct 91 ms 1620 KB Output is correct
48 Correct 120 ms 1652 KB Output is correct
49 Correct 98 ms 1600 KB Output is correct
50 Correct 758 ms 1696 KB Output is correct
51 Correct 816 ms 1800 KB Output is correct
52 Correct 740 ms 1696 KB Output is correct
53 Correct 806 ms 1784 KB Output is correct
54 Correct 743 ms 1676 KB Output is correct
55 Correct 816 ms 1848 KB Output is correct
56 Correct 712 ms 1632 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 0 ms 212 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 65 ms 1264 KB Output is correct
10 Correct 18 ms 560 KB Output is correct
11 Correct 46 ms 852 KB Output is correct
12 Correct 43 ms 980 KB Output is correct
13 Correct 76 ms 1140 KB Output is correct
14 Correct 38 ms 724 KB Output is correct
15 Correct 8 ms 340 KB Output is correct
16 Correct 36 ms 852 KB Output is correct
17 Correct 98 ms 1696 KB Output is correct
18 Correct 63 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 316 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 2 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 26 ms 724 KB Output is correct
35 Correct 73 ms 1492 KB Output is correct
36 Correct 118 ms 1832 KB Output is correct
37 Correct 188 ms 1664 KB Output is correct
38 Correct 210 ms 1824 KB Output is correct
39 Correct 68 ms 1548 KB Output is correct
40 Correct 2 ms 212 KB Output is correct
41 Correct 49 ms 948 KB Output is correct
42 Correct 87 ms 1620 KB Output is correct
43 Correct 12 ms 444 KB Output is correct
44 Correct 51 ms 1108 KB Output is correct
45 Correct 69 ms 1364 KB Output is correct
46 Correct 86 ms 1776 KB Output is correct
47 Correct 35 ms 808 KB Output is correct
48 Correct 4 ms 340 KB Output is correct
49 Correct 208 ms 1580 KB Output is correct
50 Correct 112 ms 1748 KB Output is correct
51 Correct 138 ms 1584 KB Output is correct
52 Correct 110 ms 1708 KB Output is correct
53 Correct 110 ms 1752 KB Output is correct
54 Correct 214 ms 1748 KB Output is correct
55 Correct 91 ms 1620 KB Output is correct
56 Correct 120 ms 1652 KB Output is correct
57 Correct 98 ms 1600 KB Output is correct
58 Correct 758 ms 1696 KB Output is correct
59 Correct 816 ms 1800 KB Output is correct
60 Correct 740 ms 1696 KB Output is correct
61 Correct 806 ms 1784 KB Output is correct
62 Correct 743 ms 1676 KB Output is correct
63 Correct 816 ms 1848 KB Output is correct
64 Correct 712 ms 1632 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Incorrect 939 ms 1748 KB Output isn't correct
68 Halted 0 ms 0 KB -