QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#97713#6320. Parallel Processing (Hard)whatever#AC ✓6ms6212kbC++146.2kb2023-04-17 23:11:362023-04-17 23:11:38

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-17 23:11:38]
  • Judged
  • Verdict: AC
  • Time: 6ms
  • Memory: 6212kb
  • [2023-04-17 23:11:36]
  • Submitted

answer

#include <bits/stdc++.h>
#define int long long
#define mod 998244353
using namespace std;
vector<vector<vector<int> > > ans;
void op(vector<vector<int> > v)
{
/*	bitset<2005> A,B,C,D;
	A=(s[v[0][1]]^s[v[0][2]]);
	B=(s[v[1][1]]^s[v[1][2]]);
	C=(s[v[2][1]]^s[v[2][2]]);
	D=(s[v[3][1]]^s[v[3][2]]);
	s[v[0][0]]=A;
	s[v[1][0]]=B;
	s[v[2][0]]=C;
	s[v[3][0]]=D;*/
	ans.push_back(v);
}
int N;

vector<vector<vector<int> > > solve1(int n)
{
	ans.clear();
//	bitset<2005> s[2005];
	int fa[2005]={},cnt[2005]={};
	for(int i=1;i<=n;i++) fa[i]=i-1,cnt[i-1]=1;
	for(int i=1;i<=n;i++)
	{
		vector<vector<int> > v;
		bitset<2005> qwq;
		qwq.reset();
		int C=4;
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]]&&fa[fa[j]]==0)
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&!qwq[fa[j]]&&fa[fa[j]]==0)
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		if(v.size()==0) break;
		while(v.size()<4) v.insert(v.begin(),{v.back()[0],2000,2000});
		op(v);
	}
	return ans;
}
vector<vector<vector<int> > > solve2(int n)
{
	if(n!=35&&n>=33&&n!=38||n==23)
	{
		auto qaq=solve2(n-15);
		vector<vector<vector<int> > > qwq=qaq;
		for(int i=0;i<qwq.size();i++)
		{
			for(int j=0;j<qwq[i].size();j++)
			{
				for(int k=0;k<qwq[i][j].size();k++)
					qwq[i][j][k]+=15;
			}
		}
		qwq.insert(qwq.begin(),{{11,10,11},{13,12,13},{15,14,15},{16,14,16}});
		qwq.insert(qwq.begin(),{{7,6,7},{9,8,9},{12,10,12},{14,10,14}});
		qwq.insert(qwq.begin(),{{3,2,3},{5,4,5},{10,8,10},{14,12,14}});
		qwq.insert(qwq.begin(),{{6,4,6},{8,4,8},{14,13,14},{16,15,16}});
		qwq.insert(qwq.begin(),{{4,2,4},{8,6,8},{12,11,12},{10,9,10}});
		qwq.insert(qwq.begin(),{{2,1,2},{4,3,4},{6,5,6},{8,7,8}});
	//	cout << qaq.size() << " " << qwq.size() << "\n";
	//	if(n==50)exit(0);
		return qwq;
	}
	ans.clear();
//	bitset<2005> s[2005];
	int fa[2005]={},cnt[2005]={};
	for(int i=1;i<=n;i++) fa[i]=i-1,cnt[i-1]=1;
	for(int i=1;i<=n;i++)
	{
		if(n%10==6&&i<=6)
		{
			
			vector<vector<int> > v;
			bitset<2005> qwq;
			qwq.reset();
			int C=4;
			for(int j=1;j<=n;j++)
			{
				if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]]&&fa[fa[j]]==0)
				{
					v.push_back({j,fa[j],j});
					--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
					--C;
				}
				if(!C) break;
			}
			for(int j=1;j<=n;j++)
			{
				if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]])
				{
					v.push_back({j,fa[j],j});
					--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
					--C;
				}
				if(!C) break;
			}
			for(int j=1;j<=n;j++)
			{
				if(fa[j]!=0&&!qwq[fa[j]]&&fa[fa[j]]==0)
				{
					v.push_back({j,fa[j],j});
					--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
					--C;
				}
				if(!C) break;
			}
			for(int j=1;j<=n;j++)
			{
				if(fa[j]!=0&&!qwq[fa[j]])
				{
					v.push_back({j,fa[j],j});
					--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
					--C;
				}
				if(!C) break;
			}
			if(v.size()==0) break;
			while(v.size()<4) v.insert(v.begin(),{v.back()[0],2000,2000});
			op(v);
			continue;
		}
		vector<vector<int> > v;
		bitset<2005> qwq;
		qwq.reset();
		int C=4;
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]]&&fa[fa[j]]==0)
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&!qwq[fa[j]]&&fa[fa[j]]==0)
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		if(v.size()==0) break;
		while(v.size()<4) v.insert(v.begin(),{v.back()[0],2000,2000});
		op(v);
	}
	auto ttt=ans;
	auto qwq2=solve1(n);
	if(qwq2.size()<ttt.size()) return qwq2;
	return ttt;
}
signed main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n;
	cin >> n;
//	for(int i=1;i<=n;i++) s[i][i]=1;
//	for(int i=1;i<=n;i++) fa[i]=i-1,cnt[i-1]=1;
/*	for(int i=1;i<=n;i++)
	{
		vector<vector<int> > v;
		bitset<2005> qwq;
		qwq.reset();
		int C=4;
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&cnt[j]&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&fa[fa[j]]==0&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]];
				--C;
			}
			if(!C) break;
		}
		for(int j=1;j<=n;j++)
		{
			if(fa[j]!=0&&!qwq[fa[j]])
			{
				v.push_back({j,fa[j],j});
				--cnt[fa[j]],++cnt[fa[fa[j]]],fa[j]=fa[fa[j]],qwq[j]=1;
				--C;
			}
			if(!C) break;
		}
		if(v.size()==0) break;
		while(v.size()<4) v.push_back({2,1,2});
		op(v);
	}*/
	vector<vector<vector<int> > > qwq;
	for(int i=0;i<=10000;i++) qwq.push_back({{}});
	for(int i=n;i<=max(n,11ll);i++)
	{
		vector<vector<vector<int> > > xx=solve2(i);
		if(xx.size()<qwq.size()) qwq=xx;
		xx=solve1(i);
		if(xx.size()<qwq.size()) qwq=xx;
	}
	ans=qwq;
//
//	assert(((n-1)*2+4)/5==ans.size());
	cout << ans.size() << "\n";
	for(auto t:ans)
	{
		for(auto y:t)
		{
			for(auto x:y) cout << min(2000ll,x) << " ";
			cout << "\n";
		}
	}
/*	for(int i=1;i<=n;i++)
	{
		for(int j=1;j<=n;j++)
		{
			cout << s[i][j];
		}
		cout << "\n";
	}*/
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 3792kb

input:

17

output:

7
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
3 2 3 
8 6 8 
10 9 10 
6 4 6 
8 4 8 
5 4 5 
11 10 11 
11 8 11 
7 6 7 
9 8 9 
10 8 10 
16 2000 2000 
12 11 12 
14 13 14 
16 15 16 
17 2000 2000 
14 12 14 
13 12 13 
17 16 17 
17 2000 2000 
15 14 15 
16 14 16 
17 14 17 

result:

ok AC

Test #2:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

18

output:

7
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
3 2 3 
8 6 8 
10 9 10 
6 4 6 
8 4 8 
5 4 5 
11 10 11 
11 8 11 
7 6 7 
9 8 9 
10 8 10 
12 11 12 
14 13 14 
16 15 16 
18 17 18 
14 12 14 
13 12 13 
17 16 17 
18 16 18 
15 14 15 
16 14 16 
17 14 17 
18 14 18 

result:

ok AC

Test #3:

score: 0
Accepted
time: 3ms
memory: 3864kb

input:

19

output:

8
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
3 2 3 
8 6 8 
10 9 10 
6 4 6 
8 4 8 
5 4 5 
11 10 11 
11 8 11 
7 6 7 
9 8 9 
10 8 10 
12 11 12 
14 13 14 
16 15 16 
18 17 18 
14 12 14 
13 12 13 
18 16 18 
17 16 17 
18 14 18 
15 14 15 
16 14 16 
17 14 17 
19 2000 2000 
19 2000 2000 
19 2000 2000 
19 18 19 

result:

ok AC

Test #4:

score: 0
Accepted
time: 3ms
memory: 3880kb

input:

20

output:

8
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
10 9 10 
12 11 12 
6 4 6 
8 4 8 
12 10 12 
14 13 14 
10 8 10 
12 8 12 
15 14 15 
17 16 17 
15 12 15 
18 17 18 
3 2 3 
5 4 5 
18 15 18 
7 6 7 
9 8 9 
11 10 11 
19 18 19 
13 12 13 
14 12 14 
16 15 16 
20 2000 2000 
20 2000 2000 
17 15 17 
20 19 20 

result:

ok AC

Test #5:

score: 0
Accepted
time: 2ms
memory: 3896kb

input:

21

output:

8
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
3 2 3 
8 6 8 
10 9 10 
6 4 6 
8 4 8 
5 4 5 
11 10 11 
11 8 11 
7 6 7 
9 8 9 
10 8 10 
12 11 12 
14 13 14 
16 15 16 
18 17 18 
14 12 14 
13 12 13 
18 16 18 
20 19 20 
16 14 16 
18 14 18 
15 14 15 
21 20 21 
17 16 17 
19 18 19 
20 18 20 
21 18 21 

result:

ok AC

Test #6:

score: 0
Accepted
time: 3ms
memory: 4088kb

input:

120

output:

48
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 19...

result:

ok AC

Test #7:

score: 0
Accepted
time: 1ms
memory: 4764kb

input:

421

output:

168
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #8:

score: 0
Accepted
time: 0ms
memory: 4860kb

input:

464

output:

186
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #9:

score: 0
Accepted
time: 4ms
memory: 5736kb

input:

812

output:

325
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #10:

score: 0
Accepted
time: 4ms
memory: 5872kb

input:

862

output:

345
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #11:

score: 0
Accepted
time: 0ms
memory: 6176kb

input:

996

output:

398
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #12:

score: 0
Accepted
time: 3ms
memory: 6212kb

input:

997

output:

399
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #13:

score: 0
Accepted
time: 5ms
memory: 6108kb

input:

998

output:

399
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #14:

score: 0
Accepted
time: 6ms
memory: 6136kb

input:

999

output:

400
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC

Test #15:

score: 0
Accepted
time: 4ms
memory: 6116kb

input:

1000

output:

400
2 1 2 
4 3 4 
6 5 6 
8 7 8 
4 2 4 
8 6 8 
12 11 12 
10 9 10 
6 4 6 
8 4 8 
14 13 14 
16 15 16 
3 2 3 
5 4 5 
10 8 10 
14 12 14 
7 6 7 
9 8 9 
12 10 12 
14 10 14 
11 10 11 
13 12 13 
15 14 15 
16 14 16 
17 16 17 
19 18 19 
21 20 21 
23 22 23 
19 17 19 
23 21 23 
27 26 27 
25 24 25 
21 19 21 
23 1...

result:

ok AC