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6bf49a0393 2012-12-20        kinaba: #include <iostream>
6bf49a0393 2012-12-20        kinaba: #include <sstream>
6bf49a0393 2012-12-20        kinaba: #include <iomanip>
6bf49a0393 2012-12-20        kinaba: #include <vector>
6bf49a0393 2012-12-20        kinaba: #include <string>
6bf49a0393 2012-12-20        kinaba: #include <map>
6bf49a0393 2012-12-20        kinaba: #include <set>
6bf49a0393 2012-12-20        kinaba: #include <algorithm>
6bf49a0393 2012-12-20        kinaba: #include <numeric>
6bf49a0393 2012-12-20        kinaba: #include <iterator>
6bf49a0393 2012-12-20        kinaba: #include <functional>
6bf49a0393 2012-12-20        kinaba: #include <complex>
6bf49a0393 2012-12-20        kinaba: #include <queue>
6bf49a0393 2012-12-20        kinaba: #include <stack>
6bf49a0393 2012-12-20        kinaba: #include <cmath>
6bf49a0393 2012-12-20        kinaba: #include <cassert>
6bf49a0393 2012-12-20        kinaba: using namespace std;
6bf49a0393 2012-12-20        kinaba: typedef long long LL;
6bf49a0393 2012-12-20        kinaba: typedef long double LD;
6bf49a0393 2012-12-20        kinaba: typedef complex<LD> CMP;
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: struct UnionFind
6bf49a0393 2012-12-20        kinaba: {
6bf49a0393 2012-12-20        kinaba: 	vector<int> uf, sz;
6bf49a0393 2012-12-20        kinaba: 	int nc;
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 	UnionFind(int N): uf(N), sz(N,1), nc(N)
6bf49a0393 2012-12-20        kinaba: 		{ for(int i=0; i<N; ++i) uf[i] = i; }
6bf49a0393 2012-12-20        kinaba: 	int size()
6bf49a0393 2012-12-20        kinaba: 		{ return nc; }
6bf49a0393 2012-12-20        kinaba: 	int size(int a)
6bf49a0393 2012-12-20        kinaba: 		{ return sz[Find(a)]; }
6bf49a0393 2012-12-20        kinaba: 	int Find(int a)
6bf49a0393 2012-12-20        kinaba: 		{ return uf[a]==a ? a : uf[a]=Find(uf[a]); }
6bf49a0393 2012-12-20        kinaba: 	bool Union(int a, int b)
6bf49a0393 2012-12-20        kinaba: 		{
6bf49a0393 2012-12-20        kinaba: 			a = Find(a);
6bf49a0393 2012-12-20        kinaba: 			b = Find(b);
6bf49a0393 2012-12-20        kinaba: 			if( a != b )
6bf49a0393 2012-12-20        kinaba: 			{
6bf49a0393 2012-12-20        kinaba: 				if( sz[a] >= sz[b] ) swap(a, b);
6bf49a0393 2012-12-20        kinaba: 				uf[a] = b;
6bf49a0393 2012-12-20        kinaba: 				sz[b] += sz[a];
6bf49a0393 2012-12-20        kinaba: 				--nc;
6bf49a0393 2012-12-20        kinaba: 			}
6bf49a0393 2012-12-20        kinaba: 			return (a!=b);
6bf49a0393 2012-12-20        kinaba: 		}
6bf49a0393 2012-12-20        kinaba: };
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: class KnightCircuit2 { public:
6bf49a0393 2012-12-20        kinaba: 	int maxSize(int w, int h)
6bf49a0393 2012-12-20        kinaba: 	{
6bf49a0393 2012-12-20        kinaba: 		if( w>=4 && h>=4 )
6bf49a0393 2012-12-20        kinaba: 			return w*h;
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 		UnionFind uf(w*h);
6bf49a0393 2012-12-20        kinaba: 		int dy[] = {+2,+2,-2,-2,+1,+1,-1,-1};
6bf49a0393 2012-12-20        kinaba: 		int dx[] = {+1,-1,+1,-1,+2,-2,+2,-2};
6bf49a0393 2012-12-20        kinaba: 		for(int y=0; y<h; ++y)
6bf49a0393 2012-12-20        kinaba: 		for(int x=0; x<w; ++x)
6bf49a0393 2012-12-20        kinaba: 		for(int d=0; d<8; ++d) {
6bf49a0393 2012-12-20        kinaba: 			int yy = y+dy[d];
6bf49a0393 2012-12-20        kinaba: 			int xx = x+dx[d];
6bf49a0393 2012-12-20        kinaba: 			if(0<=yy && yy<h && 0<=xx && xx<w)
6bf49a0393 2012-12-20        kinaba: 				uf.Union(y*w+x, yy*w+xx);
6bf49a0393 2012-12-20        kinaba: 		}
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: 		int m = 0;
6bf49a0393 2012-12-20        kinaba: 		for(int i=0; i<w*h; ++i)
6bf49a0393 2012-12-20        kinaba: 			m = max(m, uf.size(i));
6bf49a0393 2012-12-20        kinaba: 		return m;
6bf49a0393 2012-12-20        kinaba: 	}
6bf49a0393 2012-12-20        kinaba: };
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: // BEGIN CUT HERE
6bf49a0393 2012-12-20        kinaba: #include <ctime>
6bf49a0393 2012-12-20        kinaba: double start_time; string timer()
6bf49a0393 2012-12-20        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
6bf49a0393 2012-12-20        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
6bf49a0393 2012-12-20        kinaba:  { os << "{ ";
6bf49a0393 2012-12-20        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
6bf49a0393 2012-12-20        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
6bf49a0393 2012-12-20        kinaba: void verify_case(const int& Expected, const int& Received) {
6bf49a0393 2012-12-20        kinaba:  bool ok = (Expected == Received);
6bf49a0393 2012-12-20        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
6bf49a0393 2012-12-20        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
6bf49a0393 2012-12-20        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
6bf49a0393 2012-12-20        kinaba: #define END	 verify_case(_, KnightCircuit2().maxSize(w, h));}
6bf49a0393 2012-12-20        kinaba: int main(){
6bf49a0393 2012-12-20        kinaba: 
6bf49a0393 2012-12-20        kinaba: CASE(0)
6bf49a0393 2012-12-20        kinaba: 	int w = 1;
6bf49a0393 2012-12-20        kinaba: 	int h = 1;
6bf49a0393 2012-12-20        kinaba: 	int _ = 1;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(1)
6bf49a0393 2012-12-20        kinaba: 	int w = 15;
6bf49a0393 2012-12-20        kinaba: 	int h = 2;
6bf49a0393 2012-12-20        kinaba: 	int _ = 8;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(2)
6bf49a0393 2012-12-20        kinaba: 	int w = 100;
6bf49a0393 2012-12-20        kinaba: 	int h = 100;
6bf49a0393 2012-12-20        kinaba: 	int _ = 10000;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: /*
6bf49a0393 2012-12-20        kinaba: CASE(3)
6bf49a0393 2012-12-20        kinaba: 	int w = ;
6bf49a0393 2012-12-20        kinaba: 	int h = ;
6bf49a0393 2012-12-20        kinaba: 	int _ = ;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: CASE(4)
6bf49a0393 2012-12-20        kinaba: 	int w = ;
6bf49a0393 2012-12-20        kinaba: 	int h = ;
6bf49a0393 2012-12-20        kinaba: 	int _ = ;
6bf49a0393 2012-12-20        kinaba: END
6bf49a0393 2012-12-20        kinaba: */
6bf49a0393 2012-12-20        kinaba: }
6bf49a0393 2012-12-20        kinaba: // END CUT HERE