Submission #52041

# Submission time Handle Problem Language Result Execution time Memory
52041 2018-06-23T10:51:53 Z mrtsima22 Chessboard (IZhO18_chessboard) C++17
100 / 100
1147 ms 103384 KB
#include <bits/stdc++.h>
using namespace std;
#define LL long long
const int lmax=1999999999;
const long long lmx=1999999999999999999;
const int N=200004;
int n, k, x1[N], y11[N], x2[N], y2[N];
LL ans;
int pos;
 
 LL gety(LL y,LL she){
	if(y <= 0) return 0;
	LL res = (y / she) / 2 * she;
	if((y / she) & 1) res += y % she + 1;
	return res;
}
 
 LL getx(LL x,LL she){
	if(x <= 0) return 0;
	LL res = (x / she) / 2 * she;
	if((x / she) & 1) res += x % she + 1;
	return res;
}
 
void solve(int she){
	LL odd = 0, even = 0;
	for(int i = 1,xx,yy; i <= k; i++){
		LL o1 = gety(y2[i], she) - gety(y11[i] - 1, she);
		LL e1 = (y2[i] - y11[i] + 1) - o1;
		LL o2 = getx(x2[i], she) -  getx(x1[i] - 1, she); 
		LL e2 = (x2[i] - x1[i] + 1) - o2;
		xx = x1[i] / she;
		yy = y11[i] / she;
		if(xx & 1) swap(o1,e1);
		if(yy & 1) swap(o2,e2);
		LL od = 0, ev = 0;
		if((xx + yy) & 1){
			od = e1 * e2 + o1 * o2;
		}
		else{
		    od = o1 * e2 + e1 * o2;
		}
		ev = 1LL * (x2[i] - x1[i] + 1) * (y2[i] - y11[i] + 1) - od;
		
		odd += od;
		even += ev;
	}
	LL cnt = 1LL * (n / she) * (n / she);
	LL res = min(cnt / 2 * she * she + even - odd, (cnt + 1) / 2 * she * she + odd - even);
	if(res < ans){
	    pos = she;
		ans = res;
	}
}
int main(){std::ios::sync_with_stdio(false);
cin>>n>>k;
ans=1e18;
for(int i=1;i<=k;i++)
{
	cin>>x1[i]>>y11[i]>>x2[i]>>y2[i];
	x1[i]--;
	y11[i]--;
	x2[i]--;
	y2[i]--;
}
for(int i=1;i*i<=n;i++)
{
	if(n%i==0)
	{
		solve(i);
		if(i>1&&i!=n/i)
		{
			solve(n/i);
		}
	}
}
cout<<ans<<endl;
}
/*
                   *         *
                  * *       * *
                 *   *     *   *
                *     *   *     *
               *       * *       *
               *        *        *
                *               *
                 *             *
                  *           *
                   *         *
                    *       *
                     *     *
                      *   *
                       * *
                        * 
*/
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 452 KB Output is correct
3 Correct 2 ms 452 KB Output is correct
4 Correct 3 ms 472 KB Output is correct
5 Correct 2 ms 652 KB Output is correct
6 Correct 2 ms 652 KB Output is correct
7 Correct 2 ms 652 KB Output is correct
8 Correct 3 ms 652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 1492 KB Output is correct
2 Correct 11 ms 1492 KB Output is correct
3 Correct 25 ms 2756 KB Output is correct
4 Correct 25 ms 3472 KB Output is correct
5 Correct 31 ms 4900 KB Output is correct
6 Correct 20 ms 5372 KB Output is correct
7 Correct 6 ms 5372 KB Output is correct
8 Correct 20 ms 6444 KB Output is correct
9 Correct 55 ms 9448 KB Output is correct
10 Correct 29 ms 10064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 2 ms 10064 KB Output is correct
3 Correct 2 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 2 ms 10064 KB Output is correct
7 Correct 3 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
9 Correct 2 ms 10064 KB Output is correct
10 Correct 2 ms 10064 KB Output is correct
11 Correct 2 ms 10064 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 4 ms 10064 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 3 ms 10064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 2 ms 10064 KB Output is correct
3 Correct 2 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 2 ms 10064 KB Output is correct
7 Correct 3 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
9 Correct 2 ms 10064 KB Output is correct
10 Correct 2 ms 10064 KB Output is correct
11 Correct 2 ms 10064 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 4 ms 10064 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 3 ms 10064 KB Output is correct
16 Correct 18 ms 10300 KB Output is correct
17 Correct 60 ms 12536 KB Output is correct
18 Correct 67 ms 14296 KB Output is correct
19 Correct 228 ms 15628 KB Output is correct
20 Correct 258 ms 17528 KB Output is correct
21 Correct 38 ms 18412 KB Output is correct
22 Correct 4 ms 18412 KB Output is correct
23 Correct 43 ms 18656 KB Output is correct
24 Correct 59 ms 20772 KB Output is correct
25 Correct 11 ms 20772 KB Output is correct
26 Correct 37 ms 21220 KB Output is correct
27 Correct 55 ms 22568 KB Output is correct
28 Correct 63 ms 24564 KB Output is correct
29 Correct 21 ms 24564 KB Output is correct
30 Correct 4 ms 24564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 1492 KB Output is correct
2 Correct 11 ms 1492 KB Output is correct
3 Correct 25 ms 2756 KB Output is correct
4 Correct 25 ms 3472 KB Output is correct
5 Correct 31 ms 4900 KB Output is correct
6 Correct 20 ms 5372 KB Output is correct
7 Correct 6 ms 5372 KB Output is correct
8 Correct 20 ms 6444 KB Output is correct
9 Correct 55 ms 9448 KB Output is correct
10 Correct 29 ms 10064 KB Output is correct
11 Correct 3 ms 10064 KB Output is correct
12 Correct 2 ms 10064 KB Output is correct
13 Correct 2 ms 10064 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 3 ms 10064 KB Output is correct
16 Correct 2 ms 10064 KB Output is correct
17 Correct 3 ms 10064 KB Output is correct
18 Correct 3 ms 10064 KB Output is correct
19 Correct 2 ms 10064 KB Output is correct
20 Correct 2 ms 10064 KB Output is correct
21 Correct 2 ms 10064 KB Output is correct
22 Correct 3 ms 10064 KB Output is correct
23 Correct 4 ms 10064 KB Output is correct
24 Correct 3 ms 10064 KB Output is correct
25 Correct 3 ms 10064 KB Output is correct
26 Correct 18 ms 10300 KB Output is correct
27 Correct 60 ms 12536 KB Output is correct
28 Correct 67 ms 14296 KB Output is correct
29 Correct 228 ms 15628 KB Output is correct
30 Correct 258 ms 17528 KB Output is correct
31 Correct 38 ms 18412 KB Output is correct
32 Correct 4 ms 18412 KB Output is correct
33 Correct 43 ms 18656 KB Output is correct
34 Correct 59 ms 20772 KB Output is correct
35 Correct 11 ms 20772 KB Output is correct
36 Correct 37 ms 21220 KB Output is correct
37 Correct 55 ms 22568 KB Output is correct
38 Correct 63 ms 24564 KB Output is correct
39 Correct 21 ms 24564 KB Output is correct
40 Correct 4 ms 24564 KB Output is correct
41 Correct 187 ms 26940 KB Output is correct
42 Correct 65 ms 29332 KB Output is correct
43 Correct 112 ms 31208 KB Output is correct
44 Correct 68 ms 33472 KB Output is correct
45 Correct 54 ms 36040 KB Output is correct
46 Correct 215 ms 38132 KB Output is correct
47 Correct 51 ms 39988 KB Output is correct
48 Correct 90 ms 42204 KB Output is correct
49 Correct 59 ms 44144 KB Output is correct
50 Correct 986 ms 46540 KB Output is correct
51 Correct 1071 ms 48936 KB Output is correct
52 Correct 1046 ms 50980 KB Output is correct
53 Correct 1106 ms 53316 KB Output is correct
54 Correct 992 ms 55372 KB Output is correct
55 Correct 1075 ms 58008 KB Output is correct
56 Correct 925 ms 59740 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 452 KB Output is correct
3 Correct 2 ms 452 KB Output is correct
4 Correct 3 ms 472 KB Output is correct
5 Correct 2 ms 652 KB Output is correct
6 Correct 2 ms 652 KB Output is correct
7 Correct 2 ms 652 KB Output is correct
8 Correct 3 ms 652 KB Output is correct
9 Correct 33 ms 1492 KB Output is correct
10 Correct 11 ms 1492 KB Output is correct
11 Correct 25 ms 2756 KB Output is correct
12 Correct 25 ms 3472 KB Output is correct
13 Correct 31 ms 4900 KB Output is correct
14 Correct 20 ms 5372 KB Output is correct
15 Correct 6 ms 5372 KB Output is correct
16 Correct 20 ms 6444 KB Output is correct
17 Correct 55 ms 9448 KB Output is correct
18 Correct 29 ms 10064 KB Output is correct
19 Correct 3 ms 10064 KB Output is correct
20 Correct 2 ms 10064 KB Output is correct
21 Correct 2 ms 10064 KB Output is correct
22 Correct 3 ms 10064 KB Output is correct
23 Correct 3 ms 10064 KB Output is correct
24 Correct 2 ms 10064 KB Output is correct
25 Correct 3 ms 10064 KB Output is correct
26 Correct 3 ms 10064 KB Output is correct
27 Correct 2 ms 10064 KB Output is correct
28 Correct 2 ms 10064 KB Output is correct
29 Correct 2 ms 10064 KB Output is correct
30 Correct 3 ms 10064 KB Output is correct
31 Correct 4 ms 10064 KB Output is correct
32 Correct 3 ms 10064 KB Output is correct
33 Correct 3 ms 10064 KB Output is correct
34 Correct 18 ms 10300 KB Output is correct
35 Correct 60 ms 12536 KB Output is correct
36 Correct 67 ms 14296 KB Output is correct
37 Correct 228 ms 15628 KB Output is correct
38 Correct 258 ms 17528 KB Output is correct
39 Correct 38 ms 18412 KB Output is correct
40 Correct 4 ms 18412 KB Output is correct
41 Correct 43 ms 18656 KB Output is correct
42 Correct 59 ms 20772 KB Output is correct
43 Correct 11 ms 20772 KB Output is correct
44 Correct 37 ms 21220 KB Output is correct
45 Correct 55 ms 22568 KB Output is correct
46 Correct 63 ms 24564 KB Output is correct
47 Correct 21 ms 24564 KB Output is correct
48 Correct 4 ms 24564 KB Output is correct
49 Correct 187 ms 26940 KB Output is correct
50 Correct 65 ms 29332 KB Output is correct
51 Correct 112 ms 31208 KB Output is correct
52 Correct 68 ms 33472 KB Output is correct
53 Correct 54 ms 36040 KB Output is correct
54 Correct 215 ms 38132 KB Output is correct
55 Correct 51 ms 39988 KB Output is correct
56 Correct 90 ms 42204 KB Output is correct
57 Correct 59 ms 44144 KB Output is correct
58 Correct 986 ms 46540 KB Output is correct
59 Correct 1071 ms 48936 KB Output is correct
60 Correct 1046 ms 50980 KB Output is correct
61 Correct 1106 ms 53316 KB Output is correct
62 Correct 992 ms 55372 KB Output is correct
63 Correct 1075 ms 58008 KB Output is correct
64 Correct 925 ms 59740 KB Output is correct
65 Correct 2 ms 59740 KB Output is correct
66 Correct 2 ms 59740 KB Output is correct
67 Correct 1029 ms 62132 KB Output is correct
68 Correct 1068 ms 64332 KB Output is correct
69 Correct 902 ms 66168 KB Output is correct
70 Correct 1086 ms 68416 KB Output is correct
71 Correct 959 ms 70704 KB Output is correct
72 Correct 950 ms 72740 KB Output is correct
73 Correct 926 ms 74728 KB Output is correct
74 Correct 1142 ms 76972 KB Output is correct
75 Correct 1026 ms 79080 KB Output is correct
76 Correct 1002 ms 81388 KB Output is correct
77 Correct 182 ms 83736 KB Output is correct
78 Correct 78 ms 85724 KB Output is correct
79 Correct 118 ms 87720 KB Output is correct
80 Correct 134 ms 89824 KB Output is correct
81 Correct 123 ms 91720 KB Output is correct
82 Correct 106 ms 94200 KB Output is correct
83 Correct 83 ms 96284 KB Output is correct
84 Correct 740 ms 98656 KB Output is correct
85 Correct 1147 ms 100900 KB Output is correct
86 Correct 3 ms 100900 KB Output is correct
87 Correct 2 ms 100900 KB Output is correct
88 Correct 1109 ms 103384 KB Output is correct
89 Correct 198 ms 103384 KB Output is correct
90 Correct 2 ms 103384 KB Output is correct