892b20bec8 2015-04-28        kinaba: #include <iostream>
892b20bec8 2015-04-28        kinaba: #include <sstream>
892b20bec8 2015-04-28        kinaba: #include <iomanip>
892b20bec8 2015-04-28        kinaba: #include <vector>
892b20bec8 2015-04-28        kinaba: #include <string>
892b20bec8 2015-04-28        kinaba: #include <map>
892b20bec8 2015-04-28        kinaba: #include <set>
892b20bec8 2015-04-28        kinaba: #include <algorithm>
892b20bec8 2015-04-28        kinaba: #include <numeric>
892b20bec8 2015-04-28        kinaba: #include <iterator>
892b20bec8 2015-04-28        kinaba: #include <functional>
892b20bec8 2015-04-28        kinaba: #include <complex>
892b20bec8 2015-04-28        kinaba: #include <queue>
892b20bec8 2015-04-28        kinaba: #include <stack>
892b20bec8 2015-04-28        kinaba: #include <cmath>
892b20bec8 2015-04-28        kinaba: #include <cassert>
892b20bec8 2015-04-28        kinaba: #include <tuple>
892b20bec8 2015-04-28        kinaba: using namespace std;
892b20bec8 2015-04-28        kinaba: typedef long long LL;
892b20bec8 2015-04-28        kinaba: typedef complex<double> CMP;
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: static const unsigned MODVAL = 1000000007;
892b20bec8 2015-04-28        kinaba: struct mint
892b20bec8 2015-04-28        kinaba: {
892b20bec8 2015-04-28        kinaba: 	unsigned val;
892b20bec8 2015-04-28        kinaba: 	mint():val(0){}
892b20bec8 2015-04-28        kinaba: 	mint(int      x):val(x%MODVAL) {}
892b20bec8 2015-04-28        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
892b20bec8 2015-04-28        kinaba: 	mint(LL       x):val(x%MODVAL) {}
892b20bec8 2015-04-28        kinaba: };
892b20bec8 2015-04-28        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
892b20bec8 2015-04-28        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
892b20bec8 2015-04-28        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
892b20bec8 2015-04-28        kinaba: mint operator+(mint x, mint y) { return x+=y; }
892b20bec8 2015-04-28        kinaba: mint operator-(mint x, mint y) { return x-=y; }
892b20bec8 2015-04-28        kinaba: mint operator*(mint x, mint y) { return x*=y; }
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: class Nine { public:
892b20bec8 2015-04-28        kinaba: 	int count(int N, vector <int> d)
892b20bec8 2015-04-28        kinaba: 	{
892b20bec8 2015-04-28        kinaba: 		const int M = d.size();
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 		vector<int> cnt(1<<N);
892b20bec8 2015-04-28        kinaba: 		for(int di: d)
892b20bec8 2015-04-28        kinaba: 			cnt[di]++;
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 		vector<vector<mint>> pat(M+1, vector<mint>(9));
892b20bec8 2015-04-28        kinaba: 		pat[0][0] = 1;
892b20bec8 2015-04-28        kinaba: 		for(int cnt=1; cnt<=M; ++cnt) {
892b20bec8 2015-04-28        kinaba: 			for(int pre=0; pre<9; ++pre)
892b20bec8 2015-04-28        kinaba: 			for(int incr=0; incr<=9; ++incr)
892b20bec8 2015-04-28        kinaba: 				pat[cnt][(pre+incr)%9] += pat[cnt-1][pre];
892b20bec8 2015-04-28        kinaba: 		}
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 		int TBLMAX = 1; for(int i=0; i<N; ++i) TBLMAX*=9;
892b20bec8 2015-04-28        kinaba: 		vector<mint> dp(TBLMAX);
892b20bec8 2015-04-28        kinaba: 		dp[0] = 1;
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 		for(int mask=0; mask<(1<<N); ++mask)
892b20bec8 2015-04-28        kinaba: 		{
892b20bec8 2015-04-28        kinaba: 			int c = cnt[mask]; // #{i | d[i] = mask}
892b20bec8 2015-04-28        kinaba: 			vector<mint> dp2(TBLMAX);
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 			for(int rem_state=0; rem_state<TBLMAX; ++rem_state)
892b20bec8 2015-04-28        kinaba: 			{
892b20bec8 2015-04-28        kinaba: 				for(int tgt=0; tgt<9; ++tgt)
892b20bec8 2015-04-28        kinaba: 				{
892b20bec8 2015-04-28        kinaba: 					int r2 = 0;
892b20bec8 2015-04-28        kinaba: 					for(int f=1,i=0; i<N; f*=9,++i)
892b20bec8 2015-04-28        kinaba: 					{
892b20bec8 2015-04-28        kinaba: 						if(mask&(1<<i)) {
892b20bec8 2015-04-28        kinaba: 							r2 += ((rem_state/f + tgt*c)%9)*f;
892b20bec8 2015-04-28        kinaba: 						} else {
892b20bec8 2015-04-28        kinaba: 							r2 += (rem_state/f%9)*f;
892b20bec8 2015-04-28        kinaba: 						}
892b20bec8 2015-04-28        kinaba: 					}
892b20bec8 2015-04-28        kinaba: 					dp2[r2] += dp[rem_state] * pat[c][tgt];
892b20bec8 2015-04-28        kinaba: 				}
892b20bec8 2015-04-28        kinaba: 			}
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: 			dp = std::move(dp2);
892b20bec8 2015-04-28        kinaba: 		}
892b20bec8 2015-04-28        kinaba: 		return dp[0].val;
892b20bec8 2015-04-28        kinaba: 	}
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: };
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: // BEGIN CUT HERE
892b20bec8 2015-04-28        kinaba: #include <ctime>
892b20bec8 2015-04-28        kinaba: double start_time; string timer()
892b20bec8 2015-04-28        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
892b20bec8 2015-04-28        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
892b20bec8 2015-04-28        kinaba:  { os << "{ ";
892b20bec8 2015-04-28        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
892b20bec8 2015-04-28        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
892b20bec8 2015-04-28        kinaba: void verify_case(const int& Expected, const int& Received) {
892b20bec8 2015-04-28        kinaba:  bool ok = (Expected == Received);
892b20bec8 2015-04-28        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
892b20bec8 2015-04-28        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
892b20bec8 2015-04-28        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
892b20bec8 2015-04-28        kinaba: #define END	 verify_case(_, Nine().count(N, d));}
892b20bec8 2015-04-28        kinaba: int main(){
892b20bec8 2015-04-28        kinaba: 
892b20bec8 2015-04-28        kinaba: CASE(0)
892b20bec8 2015-04-28        kinaba: 	int N = 2;
892b20bec8 2015-04-28        kinaba: 	int d_[] = {1,2};
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = 4;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: CASE(1)
892b20bec8 2015-04-28        kinaba: 	int N = 2;
892b20bec8 2015-04-28        kinaba: 	int d_[] = {1,2,3};
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = 16;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: CASE(2)
892b20bec8 2015-04-28        kinaba: 	int N = 1;
892b20bec8 2015-04-28        kinaba: 	int d_[] = {0,0,1};
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = 200;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: CASE(3)
892b20bec8 2015-04-28        kinaba: 	int N = 5;
892b20bec8 2015-04-28        kinaba: 	int d_[] = {1,3,5,8,24,22,25,21,30,2,4,0,6,7,9,11,14,13,12,15,18,17,16,19,26,29,31,28,27,10,20,23};
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = 450877328;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: CASE(4)
892b20bec8 2015-04-28        kinaba: 	int N = 5;
892b20bec8 2015-04-28        kinaba: 	int d_[] = {31,31,31,31,31};
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = 11112;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: /*
892b20bec8 2015-04-28        kinaba: CASE(5)
892b20bec8 2015-04-28        kinaba: 	int N = ;
892b20bec8 2015-04-28        kinaba: 	int d_[] = ;
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = ;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: CASE(6)
892b20bec8 2015-04-28        kinaba: 	int N = ;
892b20bec8 2015-04-28        kinaba: 	int d_[] = ;
892b20bec8 2015-04-28        kinaba: 	  vector <int> d(d_, d_+sizeof(d_)/sizeof(*d_));
892b20bec8 2015-04-28        kinaba: 	int _ = ;
892b20bec8 2015-04-28        kinaba: END
892b20bec8 2015-04-28        kinaba: */
892b20bec8 2015-04-28        kinaba: }
892b20bec8 2015-04-28        kinaba: // END CUT HERE