4fd800b3a8 2011-02-23        kinaba: #include <iostream>
4fd800b3a8 2011-02-23        kinaba: #include <sstream>
4fd800b3a8 2011-02-23        kinaba: #include <iomanip>
4fd800b3a8 2011-02-23        kinaba: #include <vector>
4fd800b3a8 2011-02-23        kinaba: #include <string>
4fd800b3a8 2011-02-23        kinaba: #include <map>
4fd800b3a8 2011-02-23        kinaba: #include <set>
4fd800b3a8 2011-02-23        kinaba: #include <algorithm>
4fd800b3a8 2011-02-23        kinaba: #include <numeric>
4fd800b3a8 2011-02-23        kinaba: #include <iterator>
4fd800b3a8 2011-02-23        kinaba: #include <functional>
4fd800b3a8 2011-02-23        kinaba: #include <complex>
4fd800b3a8 2011-02-23        kinaba: #include <queue>
4fd800b3a8 2011-02-23        kinaba: #include <stack>
4fd800b3a8 2011-02-23        kinaba: #include <cmath>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class AfraidOfEven { public:
4fd800b3a8 2011-02-23        kinaba: 	vector <int> restoreProgression(vector <int> seq)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL a = seq[0];
4fd800b3a8 2011-02-23        kinaba: 		LL b = seq[1];
4fd800b3a8 2011-02-23        kinaba: 		for(LL aa=a; aa<=0x7fffffff; aa*=2)
4fd800b3a8 2011-02-23        kinaba: 		for(LL bb=b; bb<=0x7fffffff; bb*=2)
4fd800b3a8 2011-02-23        kinaba: 			if( possible(seq,aa,bb) )
4fd800b3a8 2011-02-23        kinaba: 				return seq;
4fd800b3a8 2011-02-23        kinaba: 		assert(false);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	bool possible(vector<int>& seq, LL a, LL b)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL d = b-a;
4fd800b3a8 2011-02-23        kinaba: 		vector<LL> q(seq.size());
4fd800b3a8 2011-02-23        kinaba: 		q[0] = a;
4fd800b3a8 2011-02-23        kinaba: 		q[1] = b;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=2; i<seq.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			q[i] = q[i-1] + d;
4fd800b3a8 2011-02-23        kinaba: 			if( q[i] <= 0 )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 			if( q[i] % seq[i] != 0 )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 			LL f = q[i] / seq[i];
4fd800b3a8 2011-02-23        kinaba: 			if( f & (f-1) )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<seq.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			seq[i] = int(q[i]);
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time; string timer()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const vector <int>& Expected, const vector <int>& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = (Expected == Received);
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, AfraidOfEven().restoreProgression(seq));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = {1, 1, 3, 1, 5};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = {1, 2, 3, 4, 5 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = {9, 7, 5, 3, 1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = {9, 7, 5, 3, 1 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = {999, 999, 999, 999};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = {999, 999, 999, 999 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = {7, 47, 5, 113, 73, 179, 53};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = {14, 47, 80, 113, 146, 179, 212 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = {749, 999, 125, 1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = {1498, 999, 500, 1 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: int seq_[] = {3,7,1,9};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	  int __[] = {6,7,8,9};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int seq_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> seq(seq_, seq_+sizeof(seq_)/sizeof(*seq_));
4fd800b3a8 2011-02-23        kinaba: 	int __[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE