Submission #91838

# Submission time Handle Problem Language Result Execution time Memory
91838 2018-12-30T09:53:06 Z emil_physmath Chessboard (IZhO18_chessboard) C++17
100 / 100
1868 ms 3960 KB
#include <iostream>
#include <stdio.h>
using namespace std;
const int MAXK=100005;

long long mini[MAXK], maxi[MAXK], minj[MAXK], maxj[MAXK];

long long NumWhite(long long, long long, long long, long long, long long cellLen);
long long FindAns(long long n, long long k, long long cellLen);
int main()
{
	long long n, k;
	cin>>n>>k;
	for (int i=0; i<k; i++)
		scanf("%lld%lld%lld%lld", mini+i, minj+i, maxi+i, maxj+i);
	long long  ans=n*n;
	for (int cellLen=1; cellLen*cellLen<=n; cellLen++)
		if (n%cellLen==0)
		{
			ans=min(ans, FindAns(n, k, cellLen));
			ans=min(ans, FindAns(n, k, n/cellLen));
		}
	cout<<ans<<'\n';
 
	char I;
	cin >> I;
	return 0;
}
 
long long FindAns(long long n, long long k, long long cellLen)
{
	if (cellLen>=n) return n*n;
	long long shouldWhite=0, shouldBlack=0, isBlack=0;
	for (int i=0; i<k; i++)
	{
		shouldWhite+=NumWhite(mini[i], minj[i], maxi[i], maxj[i], cellLen);
		isBlack+=(maxi[i]-mini[i]+1)*(maxj[i]-minj[i]+1);
	}
	shouldBlack=(n*n-NumWhite(1, 1, n, n, cellLen))-(isBlack-shouldWhite);
	return min(shouldWhite+shouldBlack, n*n-(shouldWhite+shouldBlack));
}
long long NumWhite(long long mini, long long minj, long long maxi, long long maxj, long long len)
{
	if (!mini) mini=1;
	if (!minj) minj=1;
	if (mini==1 && minj==1)
	{
		long long  ans=0, i=maxi, j=maxj;
		ans+=len*len*(((i/len)*(j/len)+1)/2);
		if ((i/len)%2)
			ans+=(i%len)*((j/len)/2)*len;
		else
			ans+=(i%len)*((j/len+1)/2)*len;
		if ((j/len)%2)
			ans+=(j%len)*((i/len)/2)*len;
		else
			ans+=(j%len)*((i/len+1)/2)*len;
		if ((i/len)%2==(j/len)%2)
			ans+=(i%len)*(j%len);
		return ans;
	}
	return NumWhite(1, 1, maxi, maxj, len)-
		NumWhite(1, 1, maxi, minj-1, len)-NumWhite(1, 1, mini-1, maxj, len)+
		NumWhite(1, 1, mini-1, minj-1, len);
}

Compilation message

chessboard.cpp: In function 'int main()':
chessboard.cpp:15:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld%lld%lld%lld", mini+i, minj+i, maxi+i, maxj+i);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 356 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 2552 KB Output is correct
2 Correct 10 ms 888 KB Output is correct
3 Correct 22 ms 1784 KB Output is correct
4 Correct 24 ms 1912 KB Output is correct
5 Correct 29 ms 2168 KB Output is correct
6 Correct 20 ms 1528 KB Output is correct
7 Correct 5 ms 632 KB Output is correct
8 Correct 20 ms 1572 KB Output is correct
9 Correct 48 ms 3320 KB Output is correct
10 Correct 29 ms 2040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 3 ms 420 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 296 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 1 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 380 KB Output is correct
14 Correct 3 ms 292 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 3 ms 420 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 296 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 1 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 380 KB Output is correct
14 Correct 3 ms 292 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 23 ms 1272 KB Output is correct
17 Correct 41 ms 3164 KB Output is correct
18 Correct 76 ms 3616 KB Output is correct
19 Correct 358 ms 3320 KB Output is correct
20 Correct 403 ms 3688 KB Output is correct
21 Correct 40 ms 3036 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 55 ms 1800 KB Output is correct
24 Correct 68 ms 3264 KB Output is correct
25 Correct 13 ms 732 KB Output is correct
26 Correct 43 ms 2296 KB Output is correct
27 Correct 80 ms 2668 KB Output is correct
28 Correct 70 ms 3528 KB Output is correct
29 Correct 17 ms 1404 KB Output is correct
30 Correct 4 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 2552 KB Output is correct
2 Correct 10 ms 888 KB Output is correct
3 Correct 22 ms 1784 KB Output is correct
4 Correct 24 ms 1912 KB Output is correct
5 Correct 29 ms 2168 KB Output is correct
6 Correct 20 ms 1528 KB Output is correct
7 Correct 5 ms 632 KB Output is correct
8 Correct 20 ms 1572 KB Output is correct
9 Correct 48 ms 3320 KB Output is correct
10 Correct 29 ms 2040 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 420 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 296 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 1 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 3 ms 380 KB Output is correct
24 Correct 3 ms 292 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 23 ms 1272 KB Output is correct
27 Correct 41 ms 3164 KB Output is correct
28 Correct 76 ms 3616 KB Output is correct
29 Correct 358 ms 3320 KB Output is correct
30 Correct 403 ms 3688 KB Output is correct
31 Correct 40 ms 3036 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 55 ms 1800 KB Output is correct
34 Correct 68 ms 3264 KB Output is correct
35 Correct 13 ms 732 KB Output is correct
36 Correct 43 ms 2296 KB Output is correct
37 Correct 80 ms 2668 KB Output is correct
38 Correct 70 ms 3528 KB Output is correct
39 Correct 17 ms 1404 KB Output is correct
40 Correct 4 ms 376 KB Output is correct
41 Correct 284 ms 3016 KB Output is correct
42 Correct 81 ms 3448 KB Output is correct
43 Correct 155 ms 3064 KB Output is correct
44 Correct 73 ms 3320 KB Output is correct
45 Correct 52 ms 3576 KB Output is correct
46 Correct 322 ms 3436 KB Output is correct
47 Correct 48 ms 3192 KB Output is correct
48 Correct 115 ms 3248 KB Output is correct
49 Correct 70 ms 3292 KB Output is correct
50 Correct 1617 ms 3448 KB Output is correct
51 Correct 1674 ms 3676 KB Output is correct
52 Correct 1550 ms 3320 KB Output is correct
53 Correct 1686 ms 3448 KB Output is correct
54 Correct 1521 ms 3308 KB Output is correct
55 Correct 1709 ms 3704 KB Output is correct
56 Correct 1505 ms 3320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 356 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 252 KB Output is correct
9 Correct 34 ms 2552 KB Output is correct
10 Correct 10 ms 888 KB Output is correct
11 Correct 22 ms 1784 KB Output is correct
12 Correct 24 ms 1912 KB Output is correct
13 Correct 29 ms 2168 KB Output is correct
14 Correct 20 ms 1528 KB Output is correct
15 Correct 5 ms 632 KB Output is correct
16 Correct 20 ms 1572 KB Output is correct
17 Correct 48 ms 3320 KB Output is correct
18 Correct 29 ms 2040 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 380 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 3 ms 420 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 296 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 1 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 3 ms 380 KB Output is correct
32 Correct 3 ms 292 KB Output is correct
33 Correct 3 ms 376 KB Output is correct
34 Correct 23 ms 1272 KB Output is correct
35 Correct 41 ms 3164 KB Output is correct
36 Correct 76 ms 3616 KB Output is correct
37 Correct 358 ms 3320 KB Output is correct
38 Correct 403 ms 3688 KB Output is correct
39 Correct 40 ms 3036 KB Output is correct
40 Correct 3 ms 376 KB Output is correct
41 Correct 55 ms 1800 KB Output is correct
42 Correct 68 ms 3264 KB Output is correct
43 Correct 13 ms 732 KB Output is correct
44 Correct 43 ms 2296 KB Output is correct
45 Correct 80 ms 2668 KB Output is correct
46 Correct 70 ms 3528 KB Output is correct
47 Correct 17 ms 1404 KB Output is correct
48 Correct 4 ms 376 KB Output is correct
49 Correct 284 ms 3016 KB Output is correct
50 Correct 81 ms 3448 KB Output is correct
51 Correct 155 ms 3064 KB Output is correct
52 Correct 73 ms 3320 KB Output is correct
53 Correct 52 ms 3576 KB Output is correct
54 Correct 322 ms 3436 KB Output is correct
55 Correct 48 ms 3192 KB Output is correct
56 Correct 115 ms 3248 KB Output is correct
57 Correct 70 ms 3292 KB Output is correct
58 Correct 1617 ms 3448 KB Output is correct
59 Correct 1674 ms 3676 KB Output is correct
60 Correct 1550 ms 3320 KB Output is correct
61 Correct 1686 ms 3448 KB Output is correct
62 Correct 1521 ms 3308 KB Output is correct
63 Correct 1709 ms 3704 KB Output is correct
64 Correct 1505 ms 3320 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 1634 ms 3660 KB Output is correct
68 Correct 1623 ms 3704 KB Output is correct
69 Correct 1420 ms 3192 KB Output is correct
70 Correct 1577 ms 3448 KB Output is correct
71 Correct 1563 ms 3448 KB Output is correct
72 Correct 1499 ms 3444 KB Output is correct
73 Correct 1503 ms 3424 KB Output is correct
74 Correct 1604 ms 3676 KB Output is correct
75 Correct 1504 ms 3576 KB Output is correct
76 Correct 1634 ms 3576 KB Output is correct
77 Correct 236 ms 3704 KB Output is correct
78 Correct 73 ms 3448 KB Output is correct
79 Correct 158 ms 3320 KB Output is correct
80 Correct 165 ms 3448 KB Output is correct
81 Correct 153 ms 3228 KB Output is correct
82 Correct 124 ms 3576 KB Output is correct
83 Correct 92 ms 3340 KB Output is correct
84 Correct 1089 ms 3704 KB Output is correct
85 Correct 1803 ms 3772 KB Output is correct
86 Correct 3 ms 376 KB Output is correct
87 Correct 2 ms 376 KB Output is correct
88 Correct 1868 ms 3960 KB Output is correct
89 Correct 320 ms 1400 KB Output is correct
90 Correct 2 ms 376 KB Output is correct