Submission #683508

# Submission time Handle Problem Language Result Execution time Memory
683508 2023-01-18T15:50:48 Z Ronin13 Chessboard (IZhO18_chessboard) C++14
47 / 100
216 ms 3728 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(int 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 308 KB Output is correct
2 Correct 1 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 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
# Verdict Execution time Memory Grader output
1 Correct 67 ms 2652 KB Output is correct
2 Correct 17 ms 852 KB Output is correct
3 Correct 55 ms 1844 KB Output is correct
4 Correct 42 ms 1740 KB Output is correct
5 Correct 61 ms 2364 KB Output is correct
6 Correct 38 ms 1652 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 38 ms 1584 KB Output is correct
9 Correct 93 ms 3728 KB Output is correct
10 Correct 55 ms 2240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 304 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 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 1 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 304 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 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 1 ms 212 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 26 ms 1100 KB Output is correct
17 Correct 70 ms 2872 KB Output is correct
18 Correct 91 ms 3352 KB Output is correct
19 Correct 190 ms 3056 KB Output is correct
20 Correct 216 ms 3352 KB Output is correct
21 Correct 69 ms 2820 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 49 ms 1584 KB Output is correct
24 Correct 85 ms 3092 KB Output is correct
25 Correct 11 ms 468 KB Output is correct
26 Correct 55 ms 2084 KB Output is correct
27 Correct 88 ms 2356 KB Output is correct
28 Correct 89 ms 3300 KB Output is correct
29 Correct 28 ms 1236 KB Output is correct
30 Correct 3 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 67 ms 2652 KB Output is correct
2 Correct 17 ms 852 KB Output is correct
3 Correct 55 ms 1844 KB Output is correct
4 Correct 42 ms 1740 KB Output is correct
5 Correct 61 ms 2364 KB Output is correct
6 Correct 38 ms 1652 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 38 ms 1584 KB Output is correct
9 Correct 93 ms 3728 KB Output is correct
10 Correct 55 ms 2240 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 0 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 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 1 ms 212 KB Output is correct
25 Correct 2 ms 212 KB Output is correct
26 Correct 26 ms 1100 KB Output is correct
27 Correct 70 ms 2872 KB Output is correct
28 Correct 91 ms 3352 KB Output is correct
29 Correct 190 ms 3056 KB Output is correct
30 Correct 216 ms 3352 KB Output is correct
31 Correct 69 ms 2820 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 49 ms 1584 KB Output is correct
34 Correct 85 ms 3092 KB Output is correct
35 Correct 11 ms 468 KB Output is correct
36 Correct 55 ms 2084 KB Output is correct
37 Correct 88 ms 2356 KB Output is correct
38 Correct 89 ms 3300 KB Output is correct
39 Correct 28 ms 1236 KB Output is correct
40 Correct 3 ms 384 KB Output is correct
41 Incorrect 195 ms 3484 KB Output isn't correct
42 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 308 KB Output is correct
2 Correct 1 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 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 67 ms 2652 KB Output is correct
10 Correct 17 ms 852 KB Output is correct
11 Correct 55 ms 1844 KB Output is correct
12 Correct 42 ms 1740 KB Output is correct
13 Correct 61 ms 2364 KB Output is correct
14 Correct 38 ms 1652 KB Output is correct
15 Correct 8 ms 468 KB Output is correct
16 Correct 38 ms 1584 KB Output is correct
17 Correct 93 ms 3728 KB Output is correct
18 Correct 55 ms 2240 KB Output is correct
19 Correct 1 ms 304 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 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 1 ms 212 KB Output is correct
33 Correct 2 ms 212 KB Output is correct
34 Correct 26 ms 1100 KB Output is correct
35 Correct 70 ms 2872 KB Output is correct
36 Correct 91 ms 3352 KB Output is correct
37 Correct 190 ms 3056 KB Output is correct
38 Correct 216 ms 3352 KB Output is correct
39 Correct 69 ms 2820 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 49 ms 1584 KB Output is correct
42 Correct 85 ms 3092 KB Output is correct
43 Correct 11 ms 468 KB Output is correct
44 Correct 55 ms 2084 KB Output is correct
45 Correct 88 ms 2356 KB Output is correct
46 Correct 89 ms 3300 KB Output is correct
47 Correct 28 ms 1236 KB Output is correct
48 Correct 3 ms 384 KB Output is correct
49 Incorrect 195 ms 3484 KB Output isn't correct
50 Halted 0 ms 0 KB -