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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 <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: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: #include <bitset>
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: static const int INF = 3000;
4fd800b3a8 2011-02-23        kinaba: class ReversalChain
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: public:
4fd800b3a8 2011-02-23        kinaba: 	map<pair<pair<LL,LL>,int>,int> memo;
4fd800b3a8 2011-02-23        kinaba: 	int minReversal(string init, string goal)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL s=0, sb=0; for(int i=0; i<init.size(); ++i) if(init[i]=='1') s |= (1LL<<i), sb++;
4fd800b3a8 2011-02-23        kinaba: 		LL g=0, gb=0; for(int i=0; i<goal.size(); ++i) if(goal[i]=='1') g |= (1LL<<i), gb++;
4fd800b3a8 2011-02-23        kinaba: 		if( sb != gb )
4fd800b3a8 2011-02-23        kinaba: 			return -1;
4fd800b3a8 2011-02-23        kinaba: 		int a = mrev(s, g, init.size());
4fd800b3a8 2011-02-23        kinaba: 		return a>=INF ? -1 : a;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	int mrev(LL s, LL g, int m)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		#define mask(x)  ((x) & (1LL<<(m))-1)
4fd800b3a8 2011-02-23        kinaba: 		#define ith(x,i) (((x)>>(i))&1)
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		if( mask(s) == mask(g) )
4fd800b3a8 2011-02-23        kinaba: 			return 0;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		pair<pair<LL,LL>,int> key(make_pair(mask(s),mask(g)),m);
4fd800b3a8 2011-02-23        kinaba: 		if( memo.count(key) )
4fd800b3a8 2011-02-23        kinaba: 			return memo[key];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		int a = INF;
4fd800b3a8 2011-02-23        kinaba: 		if( ith(s,m-1)==ith(g,m-1) ) a = min(a, mrev(s, g, m-1));
4fd800b3a8 2011-02-23        kinaba: 		if( ith(s,0)==ith(g,0) )     a = min(a, mrev(s>>1, g>>1, m-1));
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		s = bitrev(s,m);
4fd800b3a8 2011-02-23        kinaba: 		if( ith(s,m-1)==ith(g,m-1) ) a = min(a, 1+mrev(s, g, m-1));
4fd800b3a8 2011-02-23        kinaba: 		if( ith(s,0)==ith(g,0) )     a = min(a, 1+mrev(s>>1, g>>1, m-1));
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return memo[key] = a;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	LL bitrev(LL x, LL m)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		LL y = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<m; ++i)
4fd800b3a8 2011-02-23        kinaba: 			y |= (((x>>i)&1) << (m-1-i));
4fd800b3a8 2011-02-23        kinaba: 		return y;
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() { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template <typename T> string print_array(const vector<T> &V) { ostringstream os; os << "{ "; for (typename vector<T>::const_iterator iter = V.begin(); iter != V.end(); ++iter) os << '\"' << *iter << "\","; os << " }"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: int verify_case(const int &Expected, const int &Received) { if (Expected == Received) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; cerr << "\tExpected: \"" << Expected << '\"' << endl; cerr << "\tReceived: \"" << Received << '\"' << endl; } return 0;}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> struct Case_ { Case_(){start_time=clock();} };
4fd800b3a8 2011-02-23        kinaba: char Test_(...);
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<0>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "1100";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "0110";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 1;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<1>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "111000";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "101010";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 2;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<2>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "0";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "1";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = -1;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<3>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "10101";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "10101";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 0;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<4>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "111000111000";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "001100110011";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 4;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<5>) {
4fd800b3a8 2011-02-23        kinaba: 	string init = "001000011000000111000000001111";
4fd800b3a8 2011-02-23        kinaba: 	string goal = "100100100100100100100100100100";
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 9;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, ReversalChain().minReversal(init, goal)); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> void Run_() { cerr << "Test Case #" << N << "..." << flush; Test_(Case_<N>()); Run_<sizeof(Test_(Case_<N+1>()))==1 ? -1 : N+1>(); }
4fd800b3a8 2011-02-23        kinaba: template<>      void Run_<-1>() {}
4fd800b3a8 2011-02-23        kinaba: int main() { Run_<0>(); }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE
4fd800b3a8 2011-02-23        kinaba: