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Submission #497218

# Submission time Handle Problem Language Result Execution time Memory
497218 2021-12-22T17:59:11 Z Gurban Chessboard (IZhO18_chessboard) C++17
100 / 100
 1985 ms 12772 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const int maxn=1e5+5;
int n,k;
int xl[maxn],yl[maxn];
int xr[maxn],yr[maxn];
vector<int>v[maxn],p[maxn];

bool col(int pos,int nw,int X){
	int now = pos / X;
	now %= 2;
	return now ^ nw;
}

ll f(int X,int tp){
	ll now = 0;
	int nw = tp ^ 1;
	for(int i = 0;i < n;i++){
		if(i % X == 0) nw ^= 1;

		if(nw) now += 1ll * (n / X + 1)/2 * X;
		else now += 1ll * (n/X) / 2 * X;	
	}

	nw = tp ^ 1;
	ll cnt[2]; cnt[0] = cnt[1] = 0;

	for(int i = 0;i < n;i++){
		if(i % X == 0){
			nw ^= 1;
			swap(cnt[0],cnt[1]);
		}
		for(auto j : v[i]){
			int z = xl[j] + (X - xl[j] % X);	
			if(z > xr[j]){
				int cl = col(xl[j],nw,X);
				cnt[cl] += (xr[j] - xl[j] + 1);
				continue;
			}
			if(z + X - 1 >= xr[j]){
				int cl = col(xl[j],nw,X);
				cnt[cl] += (z - xl[j]);

				cl = col(z,nw,X);
				cnt[cl] += (xr[j] - z + 1);
				continue;
			}
			int pos = xr[j] - (xr[j] % X); pos--;	
			
			int cl = col(xl[j],nw,X);
			cnt[cl] += (z - xl[j]);

			cl = col(xr[j],nw,X);
			cnt[cl] += (xr[j] - pos);
			
			cl = col(z,nw,X);
			cnt[cl] += ((pos-z+1)/X+1)/2*X;
			cnt[cl ^ 1] += ((pos-z+1)/X)/2*X;
		}

		// if(X == 2 and tp == 1) cout<<i<<' '<<cnt[0]<<' '<<cnt[1]<<'\n';

		now += cnt[0];
		now -= cnt[1];

		for(auto j : p[i]){
			int z = xl[j] + (X - xl[j] % X);	
			if(z > xr[j]){
				int cl = col(xl[j],nw,X);
				cnt[cl] -= (xr[j] - xl[j] + 1);
				continue;
			}
			if(z + X - 1 >= xr[j]){
				int cl = col(xl[j],nw,X);
				cnt[cl] -= (z - xl[j]);

				cl = col(z,nw,X);
				cnt[cl] -= (xr[j] - z + 1);
				continue;
			}
			int pos = xr[j] - (xr[j] % X); pos--;	
			
			int cl = col(xl[j],nw,X);
			cnt[cl] -= (z - xl[j]);

			cl = col(xr[j],nw,X);
			cnt[cl] -= (xr[j] - pos);
			
			cl = col(z,nw,X);
			cnt[cl] -= ((pos-z+1)/X+1)/2*X;
			cnt[cl ^ 1] -= ((pos-z+1)/X)/2*X;
		}
	}

	// cout<<X<<' '<<tp<<' '<<now<<'\n';

	return now;
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);

	cin >> n >> k;
	for(int i = 1;i <= k;i++){
		cin >> xl[i] >> yl[i] >> xr[i] >> yr[i];
		xl[i]--,yl[i]--;
		xr[i]--,yr[i]--;
		v[yl[i]].push_back(i);
		p[yr[i]].push_back(i);
	}
	ll ans = 1ll * n * n;
	for(int i = 1;i < n;i++) if(n % i == 0){
		ans=min(ans,f(i,0));
		ans=min(ans,f(i,1));
	}
	cout<<ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 3 ms 4980 KB Output is correct
3 Correct 3 ms 5020 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4916 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 8384 KB Output is correct
2 Correct 11 ms 5836 KB Output is correct
3 Correct 32 ms 8456 KB Output is correct
4 Correct 22 ms 7296 KB Output is correct
5 Correct 40 ms 9384 KB Output is correct
6 Correct 25 ms 7888 KB Output is correct
7 Correct 8 ms 5676 KB Output is correct
8 Correct 25 ms 7884 KB Output is correct
9 Correct 62 ms 10564 KB Output is correct
10 Correct 31 ms 8640 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4940 KB Output is correct
2 Correct 2 ms 5020 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5032 KB Output is correct
5 Correct 3 ms 5024 KB Output is correct
6 Correct 3 ms 5020 KB Output is correct
7 Correct 3 ms 5068 KB Output is correct
8 Correct 3 ms 5020 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 2 ms 5020 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 5068 KB Output is correct
14 Correct 3 ms 5024 KB Output is correct
15 Correct 4 ms 5068 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4940 KB Output is correct
2 Correct 2 ms 5020 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 5032 KB Output is correct
5 Correct 3 ms 5024 KB Output is correct
6 Correct 3 ms 5020 KB Output is correct
7 Correct 3 ms 5068 KB Output is correct
8 Correct 3 ms 5020 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 2 ms 5020 KB Output is correct
11 Correct 4 ms 5068 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 5068 KB Output is correct
14 Correct 3 ms 5024 KB Output is correct
15 Correct 4 ms 5068 KB Output is correct
16 Correct 14 ms 6224 KB Output is correct
17 Correct 33 ms 8740 KB Output is correct
18 Correct 52 ms 9172 KB Output is correct
19 Correct 172 ms 8920 KB Output is correct
20 Correct 196 ms 9268 KB Output is correct
21 Correct 34 ms 8652 KB Output is correct
22 Correct 4 ms 5004 KB Output is correct
23 Correct 34 ms 6820 KB Output is correct
24 Correct 44 ms 9024 KB Output is correct
25 Correct 8 ms 5396 KB Output is correct
26 Correct 29 ms 7456 KB Output is correct
27 Correct 47 ms 8136 KB Output is correct
28 Correct 53 ms 9124 KB Output is correct
29 Correct 14 ms 6420 KB Output is correct
30 Correct 4 ms 5160 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 8384 KB Output is correct
2 Correct 11 ms 5836 KB Output is correct
3 Correct 32 ms 8456 KB Output is correct
4 Correct 22 ms 7296 KB Output is correct
5 Correct 40 ms 9384 KB Output is correct
6 Correct 25 ms 7888 KB Output is correct
7 Correct 8 ms 5676 KB Output is correct
8 Correct 25 ms 7884 KB Output is correct
9 Correct 62 ms 10564 KB Output is correct
10 Correct 31 ms 8640 KB Output is correct
11 Correct 2 ms 4940 KB Output is correct
12 Correct 2 ms 5020 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 5032 KB Output is correct
15 Correct 3 ms 5024 KB Output is correct
16 Correct 3 ms 5020 KB Output is correct
17 Correct 3 ms 5068 KB Output is correct
18 Correct 3 ms 5020 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 2 ms 5020 KB Output is correct
21 Correct 4 ms 5068 KB Output is correct
22 Correct 3 ms 4940 KB Output is correct
23 Correct 3 ms 5068 KB Output is correct
24 Correct 3 ms 5024 KB Output is correct
25 Correct 4 ms 5068 KB Output is correct
26 Correct 14 ms 6224 KB Output is correct
27 Correct 33 ms 8740 KB Output is correct
28 Correct 52 ms 9172 KB Output is correct
29 Correct 172 ms 8920 KB Output is correct
30 Correct 196 ms 9268 KB Output is correct
31 Correct 34 ms 8652 KB Output is correct
32 Correct 4 ms 5004 KB Output is correct
33 Correct 34 ms 6820 KB Output is correct
34 Correct 44 ms 9024 KB Output is correct
35 Correct 8 ms 5396 KB Output is correct
36 Correct 29 ms 7456 KB Output is correct
37 Correct 47 ms 8136 KB Output is correct
38 Correct 53 ms 9124 KB Output is correct
39 Correct 14 ms 6420 KB Output is correct
40 Correct 4 ms 5160 KB Output is correct
41 Correct 445 ms 11824 KB Output is correct
42 Correct 120 ms 12488 KB Output is correct
43 Correct 199 ms 11860 KB Output is correct
44 Correct 106 ms 12368 KB Output is correct
45 Correct 92 ms 12772 KB Output is correct
46 Correct 531 ms 12352 KB Output is correct
47 Correct 84 ms 11964 KB Output is correct
48 Correct 182 ms 12100 KB Output is correct
49 Correct 90 ms 11816 KB Output is correct
50 Correct 1854 ms 12076 KB Output is correct
51 Correct 1905 ms 12440 KB Output is correct
52 Correct 1716 ms 12032 KB Output is correct
53 Correct 1844 ms 12396 KB Output is correct
54 Correct 1604 ms 11908 KB Output is correct
55 Correct 1985 ms 12592 KB Output is correct
56 Correct 1627 ms 11824 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4940 KB Output is correct
2 Correct 3 ms 4980 KB Output is correct
3 Correct 3 ms 5020 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 4 ms 4940 KB Output is correct
7 Correct 3 ms 4916 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 40 ms 8384 KB Output is correct
10 Correct 11 ms 5836 KB Output is correct
11 Correct 32 ms 8456 KB Output is correct
12 Correct 22 ms 7296 KB Output is correct
13 Correct 40 ms 9384 KB Output is correct
14 Correct 25 ms 7888 KB Output is correct
15 Correct 8 ms 5676 KB Output is correct
16 Correct 25 ms 7884 KB Output is correct
17 Correct 62 ms 10564 KB Output is correct
18 Correct 31 ms 8640 KB Output is correct
19 Correct 2 ms 4940 KB Output is correct
20 Correct 2 ms 5020 KB Output is correct
21 Correct 3 ms 4940 KB Output is correct
22 Correct 3 ms 5032 KB Output is correct
23 Correct 3 ms 5024 KB Output is correct
24 Correct 3 ms 5020 KB Output is correct
25 Correct 3 ms 5068 KB Output is correct
26 Correct 3 ms 5020 KB Output is correct
27 Correct 3 ms 4940 KB Output is correct
28 Correct 2 ms 5020 KB Output is correct
29 Correct 4 ms 5068 KB Output is correct
30 Correct 3 ms 4940 KB Output is correct
31 Correct 3 ms 5068 KB Output is correct
32 Correct 3 ms 5024 KB Output is correct
33 Correct 4 ms 5068 KB Output is correct
34 Correct 14 ms 6224 KB Output is correct
35 Correct 33 ms 8740 KB Output is correct
36 Correct 52 ms 9172 KB Output is correct
37 Correct 172 ms 8920 KB Output is correct
38 Correct 196 ms 9268 KB Output is correct
39 Correct 34 ms 8652 KB Output is correct
40 Correct 4 ms 5004 KB Output is correct
41 Correct 34 ms 6820 KB Output is correct
42 Correct 44 ms 9024 KB Output is correct
43 Correct 8 ms 5396 KB Output is correct
44 Correct 29 ms 7456 KB Output is correct
45 Correct 47 ms 8136 KB Output is correct
46 Correct 53 ms 9124 KB Output is correct
47 Correct 14 ms 6420 KB Output is correct
48 Correct 4 ms 5160 KB Output is correct
49 Correct 445 ms 11824 KB Output is correct
50 Correct 120 ms 12488 KB Output is correct
51 Correct 199 ms 11860 KB Output is correct
52 Correct 106 ms 12368 KB Output is correct
53 Correct 92 ms 12772 KB Output is correct
54 Correct 531 ms 12352 KB Output is correct
55 Correct 84 ms 11964 KB Output is correct
56 Correct 182 ms 12100 KB Output is correct
57 Correct 90 ms 11816 KB Output is correct
58 Correct 1854 ms 12076 KB Output is correct
59 Correct 1905 ms 12440 KB Output is correct
60 Correct 1716 ms 12032 KB Output is correct
61 Correct 1844 ms 12396 KB Output is correct
62 Correct 1604 ms 11908 KB Output is correct
63 Correct 1985 ms 12592 KB Output is correct
64 Correct 1627 ms 11824 KB Output is correct
65 Correct 2 ms 5008 KB Output is correct
66 Correct 2 ms 4940 KB Output is correct
67 Correct 1576 ms 11180 KB Output is correct
68 Correct 1583 ms 11132 KB Output is correct
69 Correct 1218 ms 10084 KB Output is correct
70 Correct 1360 ms 10496 KB Output is correct
71 Correct 1434 ms 10560 KB Output is correct
72 Correct 1296 ms 10444 KB Output is correct
73 Correct 1393 ms 10456 KB Output is correct
74 Correct 1689 ms 11308 KB Output is correct
75 Correct 1440 ms 10716 KB Output is correct
76 Correct 1464 ms 10916 KB Output is correct
77 Correct 236 ms 11124 KB Output is correct
78 Correct 77 ms 10248 KB Output is correct
79 Correct 186 ms 10620 KB Output is correct
80 Correct 169 ms 10832 KB Output is correct
81 Correct 164 ms 10460 KB Output is correct
82 Correct 142 ms 11136 KB Output is correct
83 Correct 107 ms 10712 KB Output is correct
84 Correct 919 ms 11364 KB Output is correct
85 Correct 1636 ms 11664 KB Output is correct
86 Correct 251 ms 4940 KB Output is correct
87 Correct 242 ms 5016 KB Output is correct
88 Correct 1594 ms 11460 KB Output is correct
89 Correct 475 ms 6460 KB Output is correct
90 Correct 253 ms 5024 KB Output is correct