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#include <iostream>
#include <queue>
#include <map>
#include <vector>
#include <algorithm>
int main () {
	std::queue<std::vector<int>> que;
	std::map<std::vector<int>, int> dist;
	std::map<std::vector<int>, std::vector<int>> par;
	size_t sz;
	std::cin >> sz;
	std::vector<int> st(sz);
	int n = 0;
	for(size_t i = 0;i<sz;i++) {
		std::cin >> st[i];
		n=std::max(n, st[i]);
	}
	que.push(st);
	dist[st]=0;
	reverse(st.begin(), st.end());
	int ls=0;
	while(que.size()) {
		auto at = que.front();
		que.pop();
		{
			auto rev = at;
			std::reverse(rev.begin(), rev.end());
			if(dist.find(rev)!=dist.end()) {
				std::cout << dist[rev]+dist[at] << std::endl;
				std::vector<std::vector<int>> res;
				while(at.size()) {
					res.push_back(at);
					at=par[at];
				}
				std::reverse(res.begin(), res.end());
				rev=par[rev];
				while(rev.size()) {
					std::reverse(rev.begin(), rev.end());
					res.push_back(rev);
					std::reverse(rev.begin(), rev.end());
					rev=par[rev];
				}
				for(auto i:res) {
					for(int j:i)std::cout << j << " ";
					std::cout << "\n";
				}
				return 0;
			}
		}
		bool used[n+1];
		for(int i = 0;i<=n;i++)used[i]=0;
		for(size_t j = 0;j<at.size();j++)used[at[j]]=1;
		for(size_t j = 0;j<at.size();j++) {
			if(at[j]) {
				for(int k = 1;k<at[j];k++) {
					if(used[k] or used[at[j]-k] or at[j]-k==k)continue;
					std::vector<int> tmp;
					for(size_t m = 0;m<j;m++)tmp.push_back(at[m]);
					tmp.push_back(k);
					tmp.push_back(at[j]-k);
					for(size_t m = j+1;m<at.size();m++)tmp.push_back(at[m]);
					if(dist.find(tmp)!=dist.end())continue;
					dist[tmp]=dist[at]+1;
					par[tmp]=at;
					que.push(tmp);
				}
			}
		}
		for(size_t j = 0;j+1<at.size();j++) {
			if(at[j]+at[j+1]<=n and used[at[j]+at[j+1]]==0) {
				std::vector<int> tmp;
				for(size_t m = 0;m<j;m++)tmp.push_back(at[m]);
				tmp.push_back(at[j]+at[j+1]);
				for(size_t m = j+2;m<at.size();m++)tmp.push_back(at[m]);
				if(dist.find(tmp)!=dist.end())continue;
				dist[tmp]=dist[at]+1;
				par[tmp]=at;
				que.push(tmp);
			}
		}
	}
	return 0;
}

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Success #stdin #stdout 1.1s 97604KB

stdin

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12 
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stdout

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172
6 11 8 2 7 10 9 12 4 1 14 3 
6 11 8 2 7 10 9 12 5 14 3 
6 11 8 2 7 10 9 12 1 4 14 3 
6 11 8 2 7 10 9 13 4 14 3 
5 1 11 8 2 7 10 9 13 4 14 3 
5 12 8 2 7 10 9 13 4 14 3 
5 12 8 2 6 1 10 9 13 4 14 3 
5 12 8 2 6 11 9 13 4 14 3 
5 12 10 6 11 9 13 4 14 3 
5 12 2 8 6 11 9 13 4 14 3 
5 12 2 8 6 1 10 9 13 4 14 3 
5 12 2 8 7 10 9 13 4 14 3 
5 1 11 2 8 7 10 9 13 4 14 3 
6 11 2 8 7 10 9 13 4 14 3 
6 11 2 8 7 10 9 12 1 4 14 3 
6 13 8 7 10 9 12 1 4 14 3 
6 13 8 7 10 9 12 5 14 3 
6 13 8 7 10 9 12 5 14 1 2 
6 13 8 3 4 10 9 12 5 14 1 2 
6 13 11 4 10 9 12 5 14 1 2 
6 13 11 4 10 9 12 5 14 3 
6 13 11 4 2 8 9 12 5 14 3 
6 13 11 4 2 7 1 9 12 5 14 3 
6 13 11 4 2 7 10 12 5 14 3 
6 13 11 4 9 10 12 5 14 3 
6 13 11 4 9 10 12 5 14 1 2 
6 13 8 3 4 9 10 12 5 14 1 2 
6 13 8 7 9 10 12 5 14 1 2 
6 13 8 7 9 10 12 5 14 3 
6 2 11 8 7 9 10 12 5 14 3 
6 2 11 8 7 9 10 12 1 4 14 3 
6 2 11 8 7 9 10 13 4 14 3 
6 2 11 8 7 9 10 1 12 4 14 3 
6 13 8 7 9 10 1 12 4 14 3 
6 13 8 2 5 9 10 1 12 4 14 3 
6 13 8 2 5 9 11 12 4 14 3 
6 13 10 5 9 11 12 4 14 3 
6 13 10 5 9 11 12 4 14 1 2 
6 13 7 3 5 9 11 12 4 14 1 2 
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5 14 7 8 9 11 10 6 2 12 3 
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5 13 12 7 8 9 2 10 4 14 3 
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5 13 1 11 9 7 10 2 8 4 14 3 
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5 13 1 11 9 7 2 10 8 4 14 3 
5 13 1 11 9 7 2 10 12 14 3 
5 13 1 11 9 7 2 10 12 6 8 3 
5 14 11 9 7 2 10 12 6 8 3 
5 1 13 11 9 7 2 10 12 6 8 3 
5 1 13 11 9 7 2 10 12 14 3 
6 13 11 9 7 2 10 12 14 3 
6 13 11 1 8 7 2 10 12 14 3 
6 13 11 1 8 9 10 12 14 3 
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6 13 12 8 9 10 5 7 14 3 
6 11 2 12 8 9 10 5 7 14 3 
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6 11 14 8 2 7 10 3 9 12 1 4 
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2 1 14 5 12 10 9 4 3 8 13 6 
2 1 14 5 12 10 9 4 11 13 6 
3 14 5 12 10 9 4 11 13 6 
3 14 5 12 10 7 2 4 11 13 6 
3 14 5 12 9 1 7 2 4 11 13 6 
3 14 5 12 9 8 2 4 11 13 6 
3 14 5 12 9 10 4 11 13 6 
2 1 14 5 12 9 10 4 11 13 6 
2 1 14 5 12 9 10 4 3 8 13 6 
2 1 14 5 12 9 10 7 8 13 6 
3 14 5 12 9 10 7 8 13 6 
3 14 4 1 12 9 10 7 8 13 6 
3 14 4 1 12 9 10 7 8 2 11 6 
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3 14 4 13 9 10 7 8 2 11 1 5 
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3 14 4 13 9 10 7 2 8 12 5 
3 14 4 13 9 10 7 2 8 11 1 5 
3 14 4 13 9 10 7 2 8 11 6 
3 14 4 1 12 9 10 7 2 8 11 6 
3 14 5 12 9 10 7 2 8 11 6 
3 14 1 4 12 9 10 7 2 8 11 6

https://ideone.com/MGFwdo

language:

C++14 (gcc 8.3)

created:

visibility:

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