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: int memo[1024][30];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class FourBlocks { public:
4fd800b3a8 2011-02-23        kinaba: 	int X, Y;
4fd800b3a8 2011-02-23        kinaba: 	vector<string> G;
4fd800b3a8 2011-02-23        kinaba: 	int maxScore(vector <string> grid)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		X = grid.size();
4fd800b3a8 2011-02-23        kinaba: 		Y = grid[0].size();
4fd800b3a8 2011-02-23        kinaba: 		G = grid;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// sentinels
4fd800b3a8 2011-02-23        kinaba: 		for(int x=0; x<X; ++x)
4fd800b3a8 2011-02-23        kinaba: 			G[x] += '0';
4fd800b3a8 2011-02-23        kinaba: 		G.push_back( string(Y+1,'0') );
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		int baseScore = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int x=0; x<X; ++x)
4fd800b3a8 2011-02-23        kinaba: 		for(int y=0; y<Y; ++y)
4fd800b3a8 2011-02-23        kinaba: 			baseScore += (G[x][y]=='1');
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// memoized search
4fd800b3a8 2011-02-23        kinaba: 		memset(memo, 0xff, sizeof(memo));
4fd800b3a8 2011-02-23        kinaba: 		return baseScore + best(0);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int best(int y)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( Y <= y )
4fd800b3a8 2011-02-23        kinaba: 			return 0;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		int mask = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int x=0; x<X; ++x)
4fd800b3a8 2011-02-23        kinaba: 			mask |= ((G[x][y]=='.') << x);
4fd800b3a8 2011-02-23        kinaba: 		if( memo[mask][y] != -1 )
4fd800b3a8 2011-02-23        kinaba: 			return memo[mask][y];
4fd800b3a8 2011-02-23        kinaba: 		return memo[mask][y] = best(0, y);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int best(int x, int y)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( X <= x )
4fd800b3a8 2011-02-23        kinaba: 			return best(y+1);
4fd800b3a8 2011-02-23        kinaba: 		int Max = 0;
4fd800b3a8 2011-02-23        kinaba: 		if( G[x][y]=='.' )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			if( G[x+1][y]=='.' && G[x][y+1]=='.' && G[x+1][y+1]=='.' )
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				// can put 4
4fd800b3a8 2011-02-23        kinaba: 				G[x][y]=G[x+1][y]=G[x][y+1]=G[x+1][y+1] = '4';
4fd800b3a8 2011-02-23        kinaba: 				Max = max(Max, 16+best(x+2, y));
4fd800b3a8 2011-02-23        kinaba: 				G[x][y]=G[x+1][y]=G[x][y+1]=G[x+1][y+1] = '.';
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 			// can put 1
4fd800b3a8 2011-02-23        kinaba: 			G[x][y] = '1';
4fd800b3a8 2011-02-23        kinaba: 			Max = max(Max, 1+best(x+1, y));
4fd800b3a8 2011-02-23        kinaba: 			G[x][y] = '.';
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		else
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			Max = max(Max, best(x+1, y));
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return Max;
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(_, FourBlocks().maxScore(grid));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {".....1..1..",
4fd800b3a8 2011-02-23        kinaba:  "..1.....1.."};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 70;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {"...1.",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  ".1..1",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  "1...."};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 73;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {"...1.",
4fd800b3a8 2011-02-23        kinaba:  ".1...",
4fd800b3a8 2011-02-23        kinaba:  "..1.1",
4fd800b3a8 2011-02-23        kinaba:  "1...."};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 20;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {".....1...",
4fd800b3a8 2011-02-23        kinaba:  ".....1...",
4fd800b3a8 2011-02-23        kinaba:  "111111111",
4fd800b3a8 2011-02-23        kinaba:  ".....1...",
4fd800b3a8 2011-02-23        kinaba:  ".....1..."};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 117;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  ".........................",
4fd800b3a8 2011-02-23        kinaba:  };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 117;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {
4fd800b3a8 2011-02-23        kinaba:  "1...", "....", "..11",
4fd800b3a8 2011-02-23        kinaba:  };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 36;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	string grid_[] = {
4fd800b3a8 2011-02-23        kinaba:  "1..", "...", "..1", "..1",
4fd800b3a8 2011-02-23        kinaba:  };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> grid(grid_, grid_+sizeof(grid_)/sizeof(*grid_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 36;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE