Submission #290549

# Submission time Handle Problem Language Result Execution time Memory
290549 2020-09-04T02:05:33 Z nandonathaniel Chessboard (IZhO18_chessboard) C++14
100 / 100
363 ms 6008 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
const LL MAXN=100005;

LL n,k,ans,xl[MAXN],xr[MAXN],yl[MAXN],yr[MAXN];

LL prefix(LL x,LL d){
	//consider ujung kiri atas hitam
	//di chessboard yang ukuran perwarnanya d*d
	//count hitam di prefix dari x 
	return (x/(2*d))*d+min(x%(2*d),d);
}

void calc(LL d){
	if(d==n)return;
	LL hitam=0,putih=0,genap=((n/d)*(n/d)+1)/2,ganjil=((n/d)*(n/d))/2;
	putih=ganjil*d*d;  //consider ujung kiri atas putih
	hitam=genap*d*d;   //consider ujung kiri atas hitam
	for(LL i=1;i<=k;i++){
		LL blackrow=prefix(xr[i],d)-prefix(xl[i]-1,d),whiterow=xr[i]-xl[i]+1-blackrow;
		LL blackcolumn=prefix(yr[i],d)-prefix(yl[i]-1,d),whitecolumn=yr[i]-yl[i]+1-blackcolumn;
		//anggep consider ujung kiri atas hitam kaya di gambar,count black in this subrectangle
		LL black=blackrow*blackcolumn+whiterow*whitecolumn;
		LL white=(xr[i]-xl[i]+1)*(yr[i]-yl[i]+1)-black;
		hitam-=black;
		putih+=black;
		hitam+=white;
		putih-=white;
	}
	ans=min(ans,min(hitam,putih));
}

int main(){
	ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
	cin >> n >> k;
	for(LL i=1;i<=k;i++){
		cin >> xl[i] >> yl[i] >> xr[i] >> yr[i];
	}
	ans=n*n;
	for(LL i=1;i*i<=n;i++){
		if(n%i!=0)continue;
		calc(i);calc(n/i);
	}
	cout << ans << '\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 2304 KB Output is correct
2 Correct 7 ms 896 KB Output is correct
3 Correct 16 ms 1536 KB Output is correct
4 Correct 21 ms 1784 KB Output is correct
5 Correct 22 ms 2048 KB Output is correct
6 Correct 14 ms 1408 KB Output is correct
7 Correct 4 ms 640 KB Output is correct
8 Correct 14 ms 1408 KB Output is correct
9 Correct 37 ms 3204 KB Output is correct
10 Correct 21 ms 1912 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 11 ms 1664 KB Output is correct
17 Correct 31 ms 4432 KB Output is correct
18 Correct 39 ms 4984 KB Output is correct
19 Correct 83 ms 4472 KB Output is correct
20 Correct 95 ms 5112 KB Output is correct
21 Correct 28 ms 4216 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 21 ms 2304 KB Output is correct
24 Correct 36 ms 4608 KB Output is correct
25 Correct 5 ms 768 KB Output is correct
26 Correct 23 ms 3072 KB Output is correct
27 Correct 29 ms 3580 KB Output is correct
28 Correct 39 ms 4928 KB Output is correct
29 Correct 12 ms 1920 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 2304 KB Output is correct
2 Correct 7 ms 896 KB Output is correct
3 Correct 16 ms 1536 KB Output is correct
4 Correct 21 ms 1784 KB Output is correct
5 Correct 22 ms 2048 KB Output is correct
6 Correct 14 ms 1408 KB Output is correct
7 Correct 4 ms 640 KB Output is correct
8 Correct 14 ms 1408 KB Output is correct
9 Correct 37 ms 3204 KB Output is correct
10 Correct 21 ms 1912 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 11 ms 1664 KB Output is correct
27 Correct 31 ms 4432 KB Output is correct
28 Correct 39 ms 4984 KB Output is correct
29 Correct 83 ms 4472 KB Output is correct
30 Correct 95 ms 5112 KB Output is correct
31 Correct 28 ms 4216 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 21 ms 2304 KB Output is correct
34 Correct 36 ms 4608 KB Output is correct
35 Correct 5 ms 768 KB Output is correct
36 Correct 23 ms 3072 KB Output is correct
37 Correct 29 ms 3580 KB Output is correct
38 Correct 39 ms 4928 KB Output is correct
39 Correct 12 ms 1920 KB Output is correct
40 Correct 2 ms 512 KB Output is correct
41 Correct 80 ms 4972 KB Output is correct
42 Correct 44 ms 5632 KB Output is correct
43 Correct 56 ms 4984 KB Output is correct
44 Correct 43 ms 5368 KB Output is correct
45 Correct 39 ms 5720 KB Output is correct
46 Correct 89 ms 5500 KB Output is correct
47 Correct 36 ms 5112 KB Output is correct
48 Correct 49 ms 5112 KB Output is correct
49 Correct 38 ms 4992 KB Output is correct
50 Correct 327 ms 5312 KB Output is correct
51 Correct 352 ms 5752 KB Output is correct
52 Correct 331 ms 5368 KB Output is correct
53 Correct 352 ms 5752 KB Output is correct
54 Correct 330 ms 5244 KB Output is correct
55 Correct 363 ms 6008 KB Output is correct
56 Correct 311 ms 5116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 24 ms 2304 KB Output is correct
10 Correct 7 ms 896 KB Output is correct
11 Correct 16 ms 1536 KB Output is correct
12 Correct 21 ms 1784 KB Output is correct
13 Correct 22 ms 2048 KB Output is correct
14 Correct 14 ms 1408 KB Output is correct
15 Correct 4 ms 640 KB Output is correct
16 Correct 14 ms 1408 KB Output is correct
17 Correct 37 ms 3204 KB Output is correct
18 Correct 21 ms 1912 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 11 ms 1664 KB Output is correct
35 Correct 31 ms 4432 KB Output is correct
36 Correct 39 ms 4984 KB Output is correct
37 Correct 83 ms 4472 KB Output is correct
38 Correct 95 ms 5112 KB Output is correct
39 Correct 28 ms 4216 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 21 ms 2304 KB Output is correct
42 Correct 36 ms 4608 KB Output is correct
43 Correct 5 ms 768 KB Output is correct
44 Correct 23 ms 3072 KB Output is correct
45 Correct 29 ms 3580 KB Output is correct
46 Correct 39 ms 4928 KB Output is correct
47 Correct 12 ms 1920 KB Output is correct
48 Correct 2 ms 512 KB Output is correct
49 Correct 80 ms 4972 KB Output is correct
50 Correct 44 ms 5632 KB Output is correct
51 Correct 56 ms 4984 KB Output is correct
52 Correct 43 ms 5368 KB Output is correct
53 Correct 39 ms 5720 KB Output is correct
54 Correct 89 ms 5500 KB Output is correct
55 Correct 36 ms 5112 KB Output is correct
56 Correct 49 ms 5112 KB Output is correct
57 Correct 38 ms 4992 KB Output is correct
58 Correct 327 ms 5312 KB Output is correct
59 Correct 352 ms 5752 KB Output is correct
60 Correct 331 ms 5368 KB Output is correct
61 Correct 352 ms 5752 KB Output is correct
62 Correct 330 ms 5244 KB Output is correct
63 Correct 363 ms 6008 KB Output is correct
64 Correct 311 ms 5116 KB Output is correct
65 Correct 0 ms 512 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 337 ms 5624 KB Output is correct
68 Correct 335 ms 5496 KB Output is correct
69 Correct 294 ms 4984 KB Output is correct
70 Correct 333 ms 5368 KB Output is correct
71 Correct 324 ms 5368 KB Output is correct
72 Correct 320 ms 5120 KB Output is correct
73 Correct 310 ms 5112 KB Output is correct
74 Correct 335 ms 5368 KB Output is correct
75 Correct 328 ms 5240 KB Output is correct
76 Correct 341 ms 5588 KB Output is correct
77 Correct 74 ms 5752 KB Output is correct
78 Correct 41 ms 5260 KB Output is correct
79 Correct 55 ms 5120 KB Output is correct
80 Correct 59 ms 5368 KB Output is correct
81 Correct 54 ms 4860 KB Output is correct
82 Correct 53 ms 5496 KB Output is correct
83 Correct 42 ms 5112 KB Output is correct
84 Correct 212 ms 5732 KB Output is correct
85 Correct 360 ms 5752 KB Output is correct
86 Correct 1 ms 384 KB Output is correct
87 Correct 0 ms 384 KB Output is correct
88 Correct 362 ms 5928 KB Output is correct
89 Correct 68 ms 1408 KB Output is correct
90 Correct 1 ms 384 KB Output is correct