bc2785b91d 2012-08-17        kinaba: #include <iostream>
bc2785b91d 2012-08-17        kinaba: #include <sstream>
bc2785b91d 2012-08-17        kinaba: #include <iomanip>
bc2785b91d 2012-08-17        kinaba: #include <vector>
bc2785b91d 2012-08-17        kinaba: #include <string>
bc2785b91d 2012-08-17        kinaba: #include <map>
bc2785b91d 2012-08-17        kinaba: #include <set>
bc2785b91d 2012-08-17        kinaba: #include <algorithm>
bc2785b91d 2012-08-17        kinaba: #include <numeric>
bc2785b91d 2012-08-17        kinaba: #include <iterator>
bc2785b91d 2012-08-17        kinaba: #include <functional>
bc2785b91d 2012-08-17        kinaba: #include <complex>
bc2785b91d 2012-08-17        kinaba: #include <queue>
bc2785b91d 2012-08-17        kinaba: #include <stack>
bc2785b91d 2012-08-17        kinaba: #include <cmath>
bc2785b91d 2012-08-17        kinaba: #include <cassert>
bc2785b91d 2012-08-17        kinaba: using namespace std;
bc2785b91d 2012-08-17        kinaba: typedef long long LL;
bc2785b91d 2012-08-17        kinaba: typedef long double LD;
bc2785b91d 2012-08-17        kinaba: typedef complex<LD> CMP;
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: static const int MODVAL = 1000000007;
bc2785b91d 2012-08-17        kinaba: struct mint
bc2785b91d 2012-08-17        kinaba: {
bc2785b91d 2012-08-17        kinaba: 	int val;
bc2785b91d 2012-08-17        kinaba: 	mint():val(0){}
bc2785b91d 2012-08-17        kinaba: 	mint(int    x):val(x%MODVAL) {}
bc2785b91d 2012-08-17        kinaba: 	mint(size_t x):val(x%MODVAL) {}
bc2785b91d 2012-08-17        kinaba: 	mint(LL     x):val(x%MODVAL) {}
bc2785b91d 2012-08-17        kinaba: };
bc2785b91d 2012-08-17        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
bc2785b91d 2012-08-17        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
bc2785b91d 2012-08-17        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
bc2785b91d 2012-08-17        kinaba: mint operator+(mint x, mint y) { return x+=y; }
bc2785b91d 2012-08-17        kinaba: mint operator-(mint x, mint y) { return x-=y; }
bc2785b91d 2012-08-17        kinaba: mint operator*(mint x, mint y) { return x*=y; }
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: class ColorfulCupcakesDivTwo { public:
bc2785b91d 2012-08-17        kinaba: 	int countArrangements(string cupcakes)
bc2785b91d 2012-08-17        kinaba: 	{
bc2785b91d 2012-08-17        kinaba: 		vector<int> num(3);
bc2785b91d 2012-08-17        kinaba: 		for(int i=0; i<cupcakes.size(); ++i)
bc2785b91d 2012-08-17        kinaba: 			num[cupcakes[i]-'A']++;
bc2785b91d 2012-08-17        kinaba: 		return solve(cupcakes.size(), num).val;
bc2785b91d 2012-08-17        kinaba: 	}
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: 	mint solve(int N, const vector<int>& num)
bc2785b91d 2012-08-17        kinaba: 	{
bc2785b91d 2012-08-17        kinaba: 		return (num[0] ? rec(0, 0, num[0]-1, num[1], num[2]) : 0)
bc2785b91d 2012-08-17        kinaba: 		     + (num[1] ? rec(1, 1, num[0], num[1]-1, num[2]) : 0)
bc2785b91d 2012-08-17        kinaba: 		     + (num[2] ? rec(2, 2, num[0], num[1], num[2]-1) : 0);
bc2785b91d 2012-08-17        kinaba: 	}
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: 	map<int, mint> memo;
bc2785b91d 2012-08-17        kinaba: 	mint rec(int F, int P, int A, int B, int C)
bc2785b91d 2012-08-17        kinaba: 	{
bc2785b91d 2012-08-17        kinaba: 		if( (A+B+C) == 1 )
bc2785b91d 2012-08-17        kinaba: 		{
bc2785b91d 2012-08-17        kinaba: 			if(A && F!=0 && P!=0 || B && F!=1 && P!=1 || C && F!=2 && P!=2)
bc2785b91d 2012-08-17        kinaba: 				return 1;
bc2785b91d 2012-08-17        kinaba: 			else
bc2785b91d 2012-08-17        kinaba: 				return 0;
bc2785b91d 2012-08-17        kinaba: 		}
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: 		int key = ((((F*3+P)*50+A)*50)+B)*50+C;
bc2785b91d 2012-08-17        kinaba: 		if( memo.count(key) )
bc2785b91d 2012-08-17        kinaba: 			return memo[key];
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: 		mint sum = 0;
bc2785b91d 2012-08-17        kinaba: 		if(A && P!=0) sum += rec(F, 0, A-1, B, C);
bc2785b91d 2012-08-17        kinaba: 		if(B && P!=1) sum += rec(F, 1, A, B-1, C);
bc2785b91d 2012-08-17        kinaba: 		if(C && P!=2) sum += rec(F, 2, A, B, C-1);
bc2785b91d 2012-08-17        kinaba: 		return memo[key] = sum;
bc2785b91d 2012-08-17        kinaba: 	}
bc2785b91d 2012-08-17        kinaba: };
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: // BEGIN CUT HERE
bc2785b91d 2012-08-17        kinaba: #include <ctime>
bc2785b91d 2012-08-17        kinaba: double start_time; string timer()
bc2785b91d 2012-08-17        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
bc2785b91d 2012-08-17        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
bc2785b91d 2012-08-17        kinaba:  { os << "{ ";
bc2785b91d 2012-08-17        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
bc2785b91d 2012-08-17        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
bc2785b91d 2012-08-17        kinaba: void verify_case(const int& Expected, const int& Received) {
bc2785b91d 2012-08-17        kinaba:  bool ok = (Expected == Received);
bc2785b91d 2012-08-17        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
bc2785b91d 2012-08-17        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
bc2785b91d 2012-08-17        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
bc2785b91d 2012-08-17        kinaba: #define END	 verify_case(_, ColorfulCupcakesDivTwo().countArrangements(cupcakes));}
bc2785b91d 2012-08-17        kinaba: int main(){
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: CASE(0)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = "ABAB";
bc2785b91d 2012-08-17        kinaba: 	int _ = 2;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(1)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = "ABABA";
bc2785b91d 2012-08-17        kinaba: 	int _ = 0;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(2)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = "ABC";
bc2785b91d 2012-08-17        kinaba: 	int _ = 6;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(3)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = "ABABABABABABABABABABABABABABABABABABABABABABABABAB";
bc2785b91d 2012-08-17        kinaba: 	int _ = 2;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(4)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = "BCBABBACBABABCCCCCAABBAACBBBBCBCAAA";
bc2785b91d 2012-08-17        kinaba: 	int _ = 741380640;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: /*
bc2785b91d 2012-08-17        kinaba: CASE(5)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = ;
bc2785b91d 2012-08-17        kinaba: 	int _ = ;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(6)
bc2785b91d 2012-08-17        kinaba: 	string cupcakes = ;
bc2785b91d 2012-08-17        kinaba: 	int _ = ;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: */
bc2785b91d 2012-08-17        kinaba: }
bc2785b91d 2012-08-17        kinaba: // END CUT HERE