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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: LL gcd(LL a, LL b)
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	while(a)
4fd800b3a8 2011-02-23        kinaba: 		swap(a, b%=a);
4fd800b3a8 2011-02-23        kinaba: 	return b;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: LL lcm(LL a, LL b)
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	return a/gcd(a,b)*b;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class BottlesOnShelf { public:
4fd800b3a8 2011-02-23        kinaba: 	int getNumBroken(int N, vector <int> left, vector <int> right, vector <int> damage)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int total = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int mask=1; mask<(1<<left.size()); ++mask)
4fd800b3a8 2011-02-23        kinaba: 			total += (bitcnt(mask)%2==0 ? -1 : +1) * hit(N, left, right, damage, mask);
4fd800b3a8 2011-02-23        kinaba: 		return total;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int bitcnt(int m)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int c = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(; m; m>>=1)
4fd800b3a8 2011-02-23        kinaba: 			c += (m&1);
4fd800b3a8 2011-02-23        kinaba: 		return c;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL ceil(LL x, LL q)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		return (x + q - 1) / q * q;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int hit(int N, vector <int> left, vector <int> right, vector <int> damage, int mask)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL theLeft   = 1;
4fd800b3a8 2011-02-23        kinaba: 		LL theRight  = N+1;
4fd800b3a8 2011-02-23        kinaba: 		LL theDamage = 1;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<left.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			if( mask & (1<<i) )
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				theLeft   = max<LL>(theLeft,  left[i]);
4fd800b3a8 2011-02-23        kinaba: 				theRight  = min<LL>(theRight, right[i]+1);
4fd800b3a8 2011-02-23        kinaba: 				theDamage = lcm(theDamage, damage[i]);
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 		return int( max(0LL, ceil(theRight,theDamage)-ceil(theLeft,theDamage)) / theDamage );
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 int& Expected, const 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(_, BottlesOnShelf().getNumBroken(N, left, right, damage));}
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 N = 7;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {2};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 3;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int N = 7;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {1,1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {7,7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {2,3};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 4;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int N = 7;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {1,1,1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {7,7,7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {2,3,6};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 4;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int N = 10;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {1,6};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {5,10};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {1,7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 6;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int N = 5;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {4};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {4};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {7};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int N = 1000000000;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = {1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = {1000000000};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = {1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 1000000000;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int N = ;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int N = ;
4fd800b3a8 2011-02-23        kinaba: 	int left_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> left(left_, left_+sizeof(left_)/sizeof(*left_));
4fd800b3a8 2011-02-23        kinaba: 	int right_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> right(right_, right_+sizeof(right_)/sizeof(*right_));
4fd800b3a8 2011-02-23        kinaba: 	int damage_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> damage(damage_, damage_+sizeof(damage_)/sizeof(*damage_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE