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535b5a8c1c 2012-04-21        kinaba: #include <iostream>
535b5a8c1c 2012-04-21        kinaba: #include <sstream>
535b5a8c1c 2012-04-21        kinaba: #include <iomanip>
535b5a8c1c 2012-04-21        kinaba: #include <vector>
535b5a8c1c 2012-04-21        kinaba: #include <string>
535b5a8c1c 2012-04-21        kinaba: #include <map>
535b5a8c1c 2012-04-21        kinaba: #include <set>
535b5a8c1c 2012-04-21        kinaba: #include <algorithm>
535b5a8c1c 2012-04-21        kinaba: #include <numeric>
535b5a8c1c 2012-04-21        kinaba: #include <iterator>
535b5a8c1c 2012-04-21        kinaba: #include <functional>
535b5a8c1c 2012-04-21        kinaba: #include <complex>
535b5a8c1c 2012-04-21        kinaba: #include <queue>
535b5a8c1c 2012-04-21        kinaba: #include <stack>
535b5a8c1c 2012-04-21        kinaba: #include <cmath>
535b5a8c1c 2012-04-21        kinaba: #include <cassert>
535b5a8c1c 2012-04-21        kinaba: #include <cstring>
535b5a8c1c 2012-04-21        kinaba: #ifdef __GNUC__
535b5a8c1c 2012-04-21        kinaba: #include <ext/hash_map>
535b5a8c1c 2012-04-21        kinaba: #define unordered_map __gnu_cxx::hash_map
535b5a8c1c 2012-04-21        kinaba: #else
535b5a8c1c 2012-04-21        kinaba: #include <unordered_map>
535b5a8c1c 2012-04-21        kinaba: #endif
535b5a8c1c 2012-04-21        kinaba: using namespace std;
535b5a8c1c 2012-04-21        kinaba: typedef long long LL;
535b5a8c1c 2012-04-21        kinaba: typedef complex<double> CMP;
535b5a8c1c 2012-04-21        kinaba: 
535b5a8c1c 2012-04-21        kinaba: class ImportantSequence { public:
535b5a8c1c 2012-04-21        kinaba: 	int getCount(vector <int> B, string operators)
535b5a8c1c 2012-04-21        kinaba: 	{
535b5a8c1c 2012-04-21        kinaba: 		vector< pair<LL,LL> > A;
535b5a8c1c 2012-04-21        kinaba: 		A.push_back( make_pair(1,0) );
535b5a8c1c 2012-04-21        kinaba: 		for(int i=0; i<B.size(); ++i)
535b5a8c1c 2012-04-21        kinaba: 		{
535b5a8c1c 2012-04-21        kinaba: 			LL a = A.back().first;
535b5a8c1c 2012-04-21        kinaba: 			LL b = A.back().second;
535b5a8c1c 2012-04-21        kinaba: 			LL c = B[i];
535b5a8c1c 2012-04-21        kinaba: 			if( operators[i] == '+' ) {
535b5a8c1c 2012-04-21        kinaba: 				// (ax+b) + (px+q) = c
535b5a8c1c 2012-04-21        kinaba: 				A.push_back( make_pair(-a, c-b) );
535b5a8c1c 2012-04-21        kinaba: 			} else {
535b5a8c1c 2012-04-21        kinaba: 				// (ax+b) - (px+q) = c
535b5a8c1c 2012-04-21        kinaba: 				A.push_back( make_pair(a, b-c) );
535b5a8c1c 2012-04-21        kinaba: 			}
535b5a8c1c 2012-04-21        kinaba: 		}
535b5a8c1c 2012-04-21        kinaba: 
535b5a8c1c 2012-04-21        kinaba: 		static const LL INF = (1LL<<62);
535b5a8c1c 2012-04-21        kinaba: 		LL xMin = 1;
535b5a8c1c 2012-04-21        kinaba: 		LL xMax = INF;
535b5a8c1c 2012-04-21        kinaba: 		for(int i=0; i<A.size(); ++i)
535b5a8c1c 2012-04-21        kinaba: 		{
535b5a8c1c 2012-04-21        kinaba: 			LL a = A[i].first;
535b5a8c1c 2012-04-21        kinaba: 			LL b = A[i].second;
535b5a8c1c 2012-04-21        kinaba: 			// ax + b > 0
535b5a8c1c 2012-04-21        kinaba: 			if( a == +1 ) {
535b5a8c1c 2012-04-21        kinaba: 				// x > -b
535b5a8c1c 2012-04-21        kinaba: 				xMin = max(xMin, -b+1);
535b5a8c1c 2012-04-21        kinaba: 			} else {
535b5a8c1c 2012-04-21        kinaba: 				// -x > -b  == x < b
535b5a8c1c 2012-04-21        kinaba: 				xMax = min(xMax, b-1);
535b5a8c1c 2012-04-21        kinaba: 			}
535b5a8c1c 2012-04-21        kinaba: 		}
535b5a8c1c 2012-04-21        kinaba: 
535b5a8c1c 2012-04-21        kinaba: 		if( xMax == INF )
535b5a8c1c 2012-04-21        kinaba: 			return -1;
535b5a8c1c 2012-04-21        kinaba: 		return (int)max(0LL, xMax-xMin+1);
535b5a8c1c 2012-04-21        kinaba: 	}
535b5a8c1c 2012-04-21        kinaba: };
535b5a8c1c 2012-04-21        kinaba: 
535b5a8c1c 2012-04-21        kinaba: // BEGIN CUT HERE
535b5a8c1c 2012-04-21        kinaba: #include <ctime>
535b5a8c1c 2012-04-21        kinaba: double start_time; string timer()
535b5a8c1c 2012-04-21        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
535b5a8c1c 2012-04-21        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
535b5a8c1c 2012-04-21        kinaba:  { os << "{ ";
535b5a8c1c 2012-04-21        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
535b5a8c1c 2012-04-21        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
535b5a8c1c 2012-04-21        kinaba: void verify_case(const int& Expected, const int& Received) {
535b5a8c1c 2012-04-21        kinaba:  bool ok = (Expected == Received);
535b5a8c1c 2012-04-21        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
535b5a8c1c 2012-04-21        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
535b5a8c1c 2012-04-21        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
535b5a8c1c 2012-04-21        kinaba: #define END	 verify_case(_, ImportantSequence().getCount(B, operators));}
535b5a8c1c 2012-04-21        kinaba: int main(){
535b5a8c1c 2012-04-21        kinaba: 
535b5a8c1c 2012-04-21        kinaba: CASE(0)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {3, -1, 7};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "+-+";
535b5a8c1c 2012-04-21        kinaba: 	int _ = 2;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: CASE(1)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {1};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "-";
535b5a8c1c 2012-04-21        kinaba: 	int _ = -1;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: CASE(2)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {1};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "+";
535b5a8c1c 2012-04-21        kinaba: 	int _ = 0;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: CASE(3)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {10};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "+";
535b5a8c1c 2012-04-21        kinaba: 	int _ = 9;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: CASE(4)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {540, 2012, 540, 2012, 540, 2012, 540};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "-+-+-+-";
535b5a8c1c 2012-04-21        kinaba: 	int _ = 1471;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: CASE(5)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = {1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 	            1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 				1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 	            1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 				1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 	            1000000000, 1000000000, 1000000000, 1000000000, 1000000000,
535b5a8c1c 2012-04-21        kinaba: 				1000000000};
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = "------------------------------+";
535b5a8c1c 2012-04-21        kinaba: 	int _ = -1;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: /*
535b5a8c1c 2012-04-21        kinaba: CASE(6)
535b5a8c1c 2012-04-21        kinaba: 	int B_[] = ;
535b5a8c1c 2012-04-21        kinaba: 	  vector <int> B(B_, B_+sizeof(B_)/sizeof(*B_));
535b5a8c1c 2012-04-21        kinaba: 	string operators = ;
535b5a8c1c 2012-04-21        kinaba: 	int _ = ;
535b5a8c1c 2012-04-21        kinaba: END
535b5a8c1c 2012-04-21        kinaba: */
535b5a8c1c 2012-04-21        kinaba: }
535b5a8c1c 2012-04-21        kinaba: // END CUT HERE