e73fe40bab 2015-03-09        kinaba: #include <iostream>
e73fe40bab 2015-03-09        kinaba: #include <sstream>
e73fe40bab 2015-03-09        kinaba: #include <iomanip>
e73fe40bab 2015-03-09        kinaba: #include <vector>
e73fe40bab 2015-03-09        kinaba: #include <string>
e73fe40bab 2015-03-09        kinaba: #include <map>
e73fe40bab 2015-03-09        kinaba: #include <set>
e73fe40bab 2015-03-09        kinaba: #include <algorithm>
e73fe40bab 2015-03-09        kinaba: #include <numeric>
e73fe40bab 2015-03-09        kinaba: #include <iterator>
e73fe40bab 2015-03-09        kinaba: #include <functional>
e73fe40bab 2015-03-09        kinaba: #include <complex>
e73fe40bab 2015-03-09        kinaba: #include <queue>
e73fe40bab 2015-03-09        kinaba: #include <stack>
e73fe40bab 2015-03-09        kinaba: #include <cmath>
e73fe40bab 2015-03-09        kinaba: #include <cassert>
e73fe40bab 2015-03-09        kinaba: #include <tuple>
e73fe40bab 2015-03-09        kinaba: using namespace std;
e73fe40bab 2015-03-09        kinaba: typedef long long LL;
e73fe40bab 2015-03-09        kinaba: typedef complex<double> CMP;
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: static const unsigned MODVAL = 1000000007;
e73fe40bab 2015-03-09        kinaba: struct mint
e73fe40bab 2015-03-09        kinaba: {
e73fe40bab 2015-03-09        kinaba: 	unsigned val;
e73fe40bab 2015-03-09        kinaba: 	mint():val(0){}
e73fe40bab 2015-03-09        kinaba: 	mint(int      x):val(x%MODVAL) {}
e73fe40bab 2015-03-09        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
e73fe40bab 2015-03-09        kinaba: 	mint(LL       x):val(x%MODVAL) {}
e73fe40bab 2015-03-09        kinaba: };
e73fe40bab 2015-03-09        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
e73fe40bab 2015-03-09        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
e73fe40bab 2015-03-09        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
e73fe40bab 2015-03-09        kinaba: mint operator+(mint x, mint y) { return x+=y; }
e73fe40bab 2015-03-09        kinaba: mint operator-(mint x, mint y) { return x-=y; }
e73fe40bab 2015-03-09        kinaba: mint operator*(mint x, mint y) { return x*=y; }
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
e73fe40bab 2015-03-09        kinaba: mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL-2); }
e73fe40bab 2015-03-09        kinaba: mint operator/(mint x, mint y) { return x/=y; }
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: class TaroFillingAStringDiv1 { public:
e73fe40bab 2015-03-09        kinaba: 	int getNumber(int, vector <int> position, string value)
e73fe40bab 2015-03-09        kinaba: 	{
e73fe40bab 2015-03-09        kinaba: 		vector<pair<int,char>> sorted;
e73fe40bab 2015-03-09        kinaba: 		for(int i=0; i<position.size(); ++i)
e73fe40bab 2015-03-09        kinaba: 			sorted.emplace_back(position[i]-1, value[i]);
e73fe40bab 2015-03-09        kinaba: 		sort(sorted.begin(), sorted.end());
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: 		mint ans = 1;
e73fe40bab 2015-03-09        kinaba: 		for(int i=1; i<sorted.size(); ++i)
e73fe40bab 2015-03-09        kinaba: 			ans *= solve(sorted[i].first-sorted[i-1].first-1, sorted[i-1].second == sorted[i].second);
e73fe40bab 2015-03-09        kinaba: 		return ans.val;
e73fe40bab 2015-03-09        kinaba: 	}
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: 	// 'A' + '?'*N + (same?'A':'B')
e73fe40bab 2015-03-09        kinaba: 	mint solve(int N, bool same) {
e73fe40bab 2015-03-09        kinaba: 		if(same && (N%2)==1)
e73fe40bab 2015-03-09        kinaba: 			return 1;
e73fe40bab 2015-03-09        kinaba: 		if(!same && (N%2)==0)
e73fe40bab 2015-03-09        kinaba: 			return 1;
e73fe40bab 2015-03-09        kinaba: 		return (N+1);
e73fe40bab 2015-03-09        kinaba: 	}
e73fe40bab 2015-03-09        kinaba: };
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: // BEGIN CUT HERE
e73fe40bab 2015-03-09        kinaba: #include <ctime>
e73fe40bab 2015-03-09        kinaba: double start_time; string timer()
e73fe40bab 2015-03-09        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
e73fe40bab 2015-03-09        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
e73fe40bab 2015-03-09        kinaba:  { os << "{ ";
e73fe40bab 2015-03-09        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
e73fe40bab 2015-03-09        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
e73fe40bab 2015-03-09        kinaba: void verify_case(const int& Expected, const int& Received) {
e73fe40bab 2015-03-09        kinaba:  bool ok = (Expected == Received);
e73fe40bab 2015-03-09        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
e73fe40bab 2015-03-09        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
e73fe40bab 2015-03-09        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
e73fe40bab 2015-03-09        kinaba: #define END	 verify_case(_, TaroFillingAStringDiv1().getNumber(N, position, value));}
e73fe40bab 2015-03-09        kinaba: int main(){
e73fe40bab 2015-03-09        kinaba: 
e73fe40bab 2015-03-09        kinaba: CASE(0)
e73fe40bab 2015-03-09        kinaba: 	int N = 3;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = {1, 3};
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = "AB";
e73fe40bab 2015-03-09        kinaba: 	int _ = 2;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: CASE(1)
e73fe40bab 2015-03-09        kinaba: 	int N = 4;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = {2, 1, 3, 4};
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = "ABBA";
e73fe40bab 2015-03-09        kinaba: 	int _ = 1;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: CASE(2)
e73fe40bab 2015-03-09        kinaba: 	int N = 25;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = {23, 4, 8, 1, 24, 9, 16, 17, 6, 2, 25, 15, 14, 7, 13};
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = "ABBBBABABBAAABA";
e73fe40bab 2015-03-09        kinaba: 	int _ = 1;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: CASE(3)
e73fe40bab 2015-03-09        kinaba: 	int N = 305;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = {183, 115, 250, 1, 188, 193, 163, 221, 144, 191, 92, 192, 58, 215, 157, 187, 227, 177, 206, 15, 272, 232, 49, 11, 178, 59, 189, 246};
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = "ABAABBABBAABABBBBAAAABBABBBA";
e73fe40bab 2015-03-09        kinaba: 	int _ = 43068480;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: CASE(4)
e73fe40bab 2015-03-09        kinaba: 	int N = 1000000000;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = {183, 115, 250, 1, 188, 193, 163, 221, 144, 191, 92, 192, 58, 215, 157, 187, 227, 177, 206, 15, 272, 232, 49, 11, 178, 59, 189, 246};
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = "ABAABBABBAABABBBBAAAABBABBBA";
e73fe40bab 2015-03-09        kinaba: 	int _ = -1;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: /*
e73fe40bab 2015-03-09        kinaba: CASE(5)
e73fe40bab 2015-03-09        kinaba: 	int N = ;
e73fe40bab 2015-03-09        kinaba: 	int position_[] = ;
e73fe40bab 2015-03-09        kinaba: 	  vector <int> position(position_, position_+sizeof(position_)/sizeof(*position_));
e73fe40bab 2015-03-09        kinaba: 	string value = ;
e73fe40bab 2015-03-09        kinaba: 	int _ = ;
e73fe40bab 2015-03-09        kinaba: END
e73fe40bab 2015-03-09        kinaba: */
e73fe40bab 2015-03-09        kinaba: }
e73fe40bab 2015-03-09        kinaba: // END CUT HERE