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b3c7c622f4 2015-12-18        kinaba: #include <iostream>
b3c7c622f4 2015-12-18        kinaba: #include <sstream>
b3c7c622f4 2015-12-18        kinaba: #include <iomanip>
b3c7c622f4 2015-12-18        kinaba: #include <vector>
b3c7c622f4 2015-12-18        kinaba: #include <string>
b3c7c622f4 2015-12-18        kinaba: #include <map>
b3c7c622f4 2015-12-18        kinaba: #include <set>
b3c7c622f4 2015-12-18        kinaba: #include <algorithm>
b3c7c622f4 2015-12-18        kinaba: #include <numeric>
b3c7c622f4 2015-12-18        kinaba: #include <iterator>
b3c7c622f4 2015-12-18        kinaba: #include <functional>
b3c7c622f4 2015-12-18        kinaba: #include <complex>
b3c7c622f4 2015-12-18        kinaba: #include <queue>
b3c7c622f4 2015-12-18        kinaba: #include <stack>
b3c7c622f4 2015-12-18        kinaba: #include <cmath>
b3c7c622f4 2015-12-18        kinaba: #include <cassert>
b3c7c622f4 2015-12-18        kinaba: #include <tuple>
b3c7c622f4 2015-12-18        kinaba: using namespace std;
b3c7c622f4 2015-12-18        kinaba: typedef long long LL;
b3c7c622f4 2015-12-18        kinaba: typedef complex<double> CMP;
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: class TreeAndPathLength3 { public:
b3c7c622f4 2015-12-18        kinaba: 	vector <int> construct(int s)
b3c7c622f4 2015-12-18        kinaba: 	{
b3c7c622f4 2015-12-18        kinaba: 		if(s == 1) {
b3c7c622f4 2015-12-18        kinaba: 			int ans[] = {0, 1, 1, 2, 2, 3};
b3c7c622f4 2015-12-18        kinaba: 			return vector<int>(ans+0, ans+6);
b3c7c622f4 2015-12-18        kinaba: 		}
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: 		// . - . - . - . -.-.
b3c7c622f4 2015-12-18        kinaba: 		//     n nodes   -.-.
b3c7c622f4 2015-12-18        kinaba: 		//               -.-.
b3c7c622f4 2015-12-18        kinaba: 		//               -.-.   k branches
b3c7c622f4 2015-12-18        kinaba: 		// =
b3c7c622f4 2015-12-18        kinaba: 		// (n-3) + k + k + k(k-1)
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: 		int k=0;
b3c7c622f4 2015-12-18        kinaba: 		for(; k+k+k*(k-1)<=s; ++k) {}
b3c7c622f4 2015-12-18        kinaba: 		--k;
b3c7c622f4 2015-12-18        kinaba: 		int n = s - k - k - k*(k-1) + 3;
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: 		vector<int> edges;
b3c7c622f4 2015-12-18        kinaba: 		for(int v=0; v<n-1; ++v) {
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(v);
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(v+1);
b3c7c622f4 2015-12-18        kinaba: 		}
b3c7c622f4 2015-12-18        kinaba: 		for(int u=0; u<k; ++u) {
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(n-1);
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(n+u);
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(n+u);
b3c7c622f4 2015-12-18        kinaba: 			edges.emplace_back(n+u+k);
b3c7c622f4 2015-12-18        kinaba: 		}
b3c7c622f4 2015-12-18        kinaba: 		return edges;
b3c7c622f4 2015-12-18        kinaba: 	}
b3c7c622f4 2015-12-18        kinaba: };
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: // BEGIN CUT HERE
b3c7c622f4 2015-12-18        kinaba: #include <ctime>
b3c7c622f4 2015-12-18        kinaba: double start_time; string timer()
b3c7c622f4 2015-12-18        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
b3c7c622f4 2015-12-18        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
b3c7c622f4 2015-12-18        kinaba:  { os << "{ ";
b3c7c622f4 2015-12-18        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
b3c7c622f4 2015-12-18        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
b3c7c622f4 2015-12-18        kinaba: void verify_case(const vector <int>& Expected, const vector <int>& Received) {
b3c7c622f4 2015-12-18        kinaba:  bool ok = (Expected == Received);
b3c7c622f4 2015-12-18        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
b3c7c622f4 2015-12-18        kinaba:  cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
b3c7c622f4 2015-12-18        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
b3c7c622f4 2015-12-18        kinaba: #define END	 verify_case(_, TreeAndPathLength3().construct(s));}
b3c7c622f4 2015-12-18        kinaba: int main(){
b3c7c622f4 2015-12-18        kinaba: 
b3c7c622f4 2015-12-18        kinaba: CASE(0)
b3c7c622f4 2015-12-18        kinaba: 	int s = 1;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = {0, 1, 1, 2, 2, 3 };
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: CASE(1)
b3c7c622f4 2015-12-18        kinaba: 	int s = 2;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = {0, 1, 1, 2, 2, 3, 3, 4 };
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: CASE(2)
b3c7c622f4 2015-12-18        kinaba: 	int s = 6;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = {0, 1, 1, 2, 0, 3, 3, 4, 0, 5, 5, 6 };
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: CASE(3)
b3c7c622f4 2015-12-18        kinaba: 	int s = 8;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = {0, 1, 1, 2, 1, 3, 3, 4, 3, 5, 5, 6, 5, 7 };
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: CASE(4)
b3c7c622f4 2015-12-18        kinaba: 	int s = 10000;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = {1};
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: /*
b3c7c622f4 2015-12-18        kinaba: CASE(5)
b3c7c622f4 2015-12-18        kinaba: 	int s = ;
b3c7c622f4 2015-12-18        kinaba: 	int __[] = ;
b3c7c622f4 2015-12-18        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
b3c7c622f4 2015-12-18        kinaba: END
b3c7c622f4 2015-12-18        kinaba: */
b3c7c622f4 2015-12-18        kinaba: }
b3c7c622f4 2015-12-18        kinaba: // END CUT HERE