Submission #333311

# Submission time Handle Problem Language Result Execution time Memory
333311 2020-12-05T11:16:08 Z Bill_00 Chessboard (IZhO18_chessboard) C++14
100 / 100
1536 ms 5996 KB
#include <bits/stdc++.h>
#define MOD 1000000007
#define INF 100000000000000000
typedef long long ll;
using namespace std;
struct point{
	ll x1,y1,x2,y2;
};
point p[100001];
ll n,k;
ll solve(ll x,ll y,ll sz){
	if(x==n+1 || y==n+1) return (ll)0;
	ll black=0;
	ll xx=((x+sz-1)/sz)*sz;
	ll yy=((y+sz-1)/sz)*sz;
	// cout << xx << ' ' << yy << '\n';
	ll a=(n-xx)/sz;
	ll b=(n-yy)/sz;
	black+=(((a*b+1)/2)*sz*sz);
	ll c=xx-x+1;
	ll d=yy-y+1;
	ll aa,bb;
	if(a%2) bb=b/2;
	else bb=(b+1)/2;
	if(b%2) aa=a/2;
	else aa=(a+1)/2;
	black+=(bb*c*sz);
	black+=(aa*d*sz);
	if((xx/sz+yy/sz)%2==0) black+=(c*d);
	return black;
}
int main(){
	//ios_base::sync_with_stdio(NULL);
	// cin.tie(NULL);
	// cout.tie(NULL);
	cin >> n >> k;

	for(ll i=1;i<=k;i++){
		cin >> p[i].x1 >> p[i].y1 >> p[i].x2 >> p[i].y2;
	}
	ll ans=INF;
	// cout << solve(4,1,) << '\n';
	for(ll i=1;i<n;i++){
		if(n%i==0){
			ll black=0,white=0;
			for(ll j=1;j<=k;j++){
				ll z=(solve(p[j].x1,p[j].y1,i)-solve(p[j].x1,p[j].y2+1,i)-solve(p[j].x2+1,p[j].y1,i)+solve(p[j].x2+1,p[j].y2+1,i));
				black+=(z);
				white+=((p[j].x2+1-p[j].x1)*(p[j].y2+1-p[j].y1)-z);
				// if(i==2) cout << white << '\n';
			}
			// cout << black << ' ' << white << '\n';
			if((n/i)%2){
				ans=min(ans,((n*n+i*i)/2-black+white));
				ans=min(ans,((n*n-i*i)/2-white+black));
			}
			else ans=min(ans,n*n/2-abs(black-white));
		}
	}
	cout << ans;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 84 ms 3820 KB Output is correct
2 Correct 23 ms 1260 KB Output is correct
3 Correct 54 ms 2540 KB Output is correct
4 Correct 53 ms 2668 KB Output is correct
5 Correct 73 ms 3308 KB Output is correct
6 Correct 46 ms 2284 KB Output is correct
7 Correct 10 ms 768 KB Output is correct
8 Correct 49 ms 2268 KB Output is correct
9 Correct 118 ms 5228 KB Output is correct
10 Correct 66 ms 3068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 35 ms 1644 KB Output is correct
17 Correct 89 ms 4332 KB Output is correct
18 Correct 126 ms 5068 KB Output is correct
19 Correct 338 ms 4716 KB Output is correct
20 Correct 371 ms 5100 KB Output is correct
21 Correct 87 ms 4204 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 72 ms 2412 KB Output is correct
24 Correct 115 ms 4588 KB Output is correct
25 Correct 15 ms 748 KB Output is correct
26 Correct 72 ms 3052 KB Output is correct
27 Correct 101 ms 3564 KB Output is correct
28 Correct 127 ms 4844 KB Output is correct
29 Correct 36 ms 1900 KB Output is correct
30 Correct 4 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 84 ms 3820 KB Output is correct
2 Correct 23 ms 1260 KB Output is correct
3 Correct 54 ms 2540 KB Output is correct
4 Correct 53 ms 2668 KB Output is correct
5 Correct 73 ms 3308 KB Output is correct
6 Correct 46 ms 2284 KB Output is correct
7 Correct 10 ms 768 KB Output is correct
8 Correct 49 ms 2268 KB Output is correct
9 Correct 118 ms 5228 KB Output is correct
10 Correct 66 ms 3068 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 2 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 35 ms 1644 KB Output is correct
27 Correct 89 ms 4332 KB Output is correct
28 Correct 126 ms 5068 KB Output is correct
29 Correct 338 ms 4716 KB Output is correct
30 Correct 371 ms 5100 KB Output is correct
31 Correct 87 ms 4204 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 72 ms 2412 KB Output is correct
34 Correct 115 ms 4588 KB Output is correct
35 Correct 15 ms 748 KB Output is correct
36 Correct 72 ms 3052 KB Output is correct
37 Correct 101 ms 3564 KB Output is correct
38 Correct 127 ms 4844 KB Output is correct
39 Correct 36 ms 1900 KB Output is correct
40 Correct 4 ms 492 KB Output is correct
41 Correct 318 ms 4972 KB Output is correct
42 Correct 148 ms 5484 KB Output is correct
43 Correct 203 ms 4972 KB Output is correct
44 Correct 144 ms 5356 KB Output is correct
45 Correct 130 ms 5760 KB Output is correct
46 Correct 360 ms 5484 KB Output is correct
47 Correct 117 ms 5100 KB Output is correct
48 Correct 174 ms 5100 KB Output is correct
49 Correct 134 ms 4972 KB Output is correct
50 Correct 1400 ms 5400 KB Output is correct
51 Correct 1472 ms 5740 KB Output is correct
52 Correct 1386 ms 5356 KB Output is correct
53 Correct 1473 ms 5740 KB Output is correct
54 Correct 1360 ms 5356 KB Output is correct
55 Correct 1536 ms 5996 KB Output is correct
56 Correct 1333 ms 5228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 84 ms 3820 KB Output is correct
10 Correct 23 ms 1260 KB Output is correct
11 Correct 54 ms 2540 KB Output is correct
12 Correct 53 ms 2668 KB Output is correct
13 Correct 73 ms 3308 KB Output is correct
14 Correct 46 ms 2284 KB Output is correct
15 Correct 10 ms 768 KB Output is correct
16 Correct 49 ms 2268 KB Output is correct
17 Correct 118 ms 5228 KB Output is correct
18 Correct 66 ms 3068 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 2 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 2 ms 364 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 2 ms 384 KB Output is correct
34 Correct 35 ms 1644 KB Output is correct
35 Correct 89 ms 4332 KB Output is correct
36 Correct 126 ms 5068 KB Output is correct
37 Correct 338 ms 4716 KB Output is correct
38 Correct 371 ms 5100 KB Output is correct
39 Correct 87 ms 4204 KB Output is correct
40 Correct 2 ms 384 KB Output is correct
41 Correct 72 ms 2412 KB Output is correct
42 Correct 115 ms 4588 KB Output is correct
43 Correct 15 ms 748 KB Output is correct
44 Correct 72 ms 3052 KB Output is correct
45 Correct 101 ms 3564 KB Output is correct
46 Correct 127 ms 4844 KB Output is correct
47 Correct 36 ms 1900 KB Output is correct
48 Correct 4 ms 492 KB Output is correct
49 Correct 318 ms 4972 KB Output is correct
50 Correct 148 ms 5484 KB Output is correct
51 Correct 203 ms 4972 KB Output is correct
52 Correct 144 ms 5356 KB Output is correct
53 Correct 130 ms 5760 KB Output is correct
54 Correct 360 ms 5484 KB Output is correct
55 Correct 117 ms 5100 KB Output is correct
56 Correct 174 ms 5100 KB Output is correct
57 Correct 134 ms 4972 KB Output is correct
58 Correct 1400 ms 5400 KB Output is correct
59 Correct 1472 ms 5740 KB Output is correct
60 Correct 1386 ms 5356 KB Output is correct
61 Correct 1473 ms 5740 KB Output is correct
62 Correct 1360 ms 5356 KB Output is correct
63 Correct 1536 ms 5996 KB Output is correct
64 Correct 1333 ms 5228 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1444 ms 5664 KB Output is correct
68 Correct 1440 ms 5612 KB Output is correct
69 Correct 1260 ms 4884 KB Output is correct
70 Correct 1352 ms 5448 KB Output is correct
71 Correct 1359 ms 5228 KB Output is correct
72 Correct 1316 ms 5300 KB Output is correct
73 Correct 1306 ms 5180 KB Output is correct
74 Correct 1421 ms 5480 KB Output is correct
75 Correct 1339 ms 5312 KB Output is correct
76 Correct 1434 ms 5676 KB Output is correct
77 Correct 288 ms 5928 KB Output is correct
78 Correct 139 ms 5356 KB Output is correct
79 Correct 207 ms 4972 KB Output is correct
80 Correct 219 ms 5272 KB Output is correct
81 Correct 203 ms 5016 KB Output is correct
82 Correct 188 ms 5612 KB Output is correct
83 Correct 156 ms 5220 KB Output is correct
84 Correct 895 ms 5740 KB Output is correct
85 Correct 1521 ms 5948 KB Output is correct
86 Correct 3 ms 364 KB Output is correct
87 Correct 1 ms 364 KB Output is correct
88 Correct 1536 ms 5896 KB Output is correct
89 Correct 290 ms 1388 KB Output is correct
90 Correct 1 ms 364 KB Output is correct