69a17ebf8a 2021-07-08        kinaba: #include <iostream>
69a17ebf8a 2021-07-08        kinaba: #include <sstream>
69a17ebf8a 2021-07-08        kinaba: #include <iomanip>
69a17ebf8a 2021-07-08        kinaba: #include <vector>
69a17ebf8a 2021-07-08        kinaba: #include <string>
69a17ebf8a 2021-07-08        kinaba: #include <map>
69a17ebf8a 2021-07-08        kinaba: #include <set>
69a17ebf8a 2021-07-08        kinaba: #include <algorithm>
69a17ebf8a 2021-07-08        kinaba: #include <numeric>
69a17ebf8a 2021-07-08        kinaba: #include <iterator>
69a17ebf8a 2021-07-08        kinaba: #include <functional>
69a17ebf8a 2021-07-08        kinaba: #include <complex>
69a17ebf8a 2021-07-08        kinaba: #include <queue>
69a17ebf8a 2021-07-08        kinaba: #include <stack>
69a17ebf8a 2021-07-08        kinaba: #include <cmath>
69a17ebf8a 2021-07-08        kinaba: #include <cassert>
69a17ebf8a 2021-07-08        kinaba: #include <tuple>
69a17ebf8a 2021-07-08        kinaba: using namespace std;
69a17ebf8a 2021-07-08        kinaba: typedef long long LL;
69a17ebf8a 2021-07-08        kinaba: typedef complex<double> CMP;
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: static const unsigned MODVAL = 1000000007;
69a17ebf8a 2021-07-08        kinaba: struct mint
69a17ebf8a 2021-07-08        kinaba: {
69a17ebf8a 2021-07-08        kinaba: 	unsigned val;
69a17ebf8a 2021-07-08        kinaba: 	mint() :val(0) {}
69a17ebf8a 2021-07-08        kinaba: 	mint(int      x) :val(x%MODVAL) {}
69a17ebf8a 2021-07-08        kinaba: 	mint(unsigned x) :val(x%MODVAL) {}
69a17ebf8a 2021-07-08        kinaba: 	mint(LL       x) :val(x%MODVAL) {}
69a17ebf8a 2021-07-08        kinaba: };
69a17ebf8a 2021-07-08        kinaba: mint& operator+=(mint& x, mint y) { return x = x.val + y.val; }
69a17ebf8a 2021-07-08        kinaba: mint& operator-=(mint& x, mint y) { return x = x.val - y.val + MODVAL; }
69a17ebf8a 2021-07-08        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
69a17ebf8a 2021-07-08        kinaba: mint operator+(mint x, mint y) { return x += y; }
69a17ebf8a 2021-07-08        kinaba: mint operator-(mint x, mint y) { return x -= y; }
69a17ebf8a 2021-07-08        kinaba: mint operator*(mint x, mint y) { return x *= y; }
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: mint POW(mint x, LL e) { mint v = 1; for (; e; x *= x, e >>= 1) if (e & 1) v *= x; return v; }
69a17ebf8a 2021-07-08        kinaba: mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL - 2); }
69a17ebf8a 2021-07-08        kinaba: mint operator/(mint x, mint y) { return x /= y; }
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: vector<mint> FAC_(1, 1);
69a17ebf8a 2021-07-08        kinaba: mint FAC(LL n) { while (FAC_.size() <= n) FAC_.push_back(FAC_.back()*LL(FAC_.size())); return FAC_[n]; }
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: // nCk :: O(log MODVAL) time, O(n) space.
69a17ebf8a 2021-07-08        kinaba: mint C(LL n, LL k) { return k<0 || n<k ? 0 : FAC(n) / (FAC(k) * FAC(n - k)); }
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: class AnnoyingPasswords { public:
69a17ebf8a 2021-07-08        kinaba: 	int count(int U, int L, int D)
69a17ebf8a 2021-07-08        kinaba: 	{
69a17ebf8a 2021-07-08        kinaba: 		return (solve(-1,U,L,D) * FAC(26) / FAC(26 - U) * FAC(26) / FAC(26 - L) * FAC(10) / FAC(10 - D)).val;
69a17ebf8a 2021-07-08        kinaba: 	}
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: 	int solve(int p, int U, int L, int D) {
69a17ebf8a 2021-07-08        kinaba: 		tuple<int, int, int, int> key(p, U, L, D);
69a17ebf8a 2021-07-08        kinaba: 		if (memo.count(key))
69a17ebf8a 2021-07-08        kinaba: 			return memo[key];
69a17ebf8a 2021-07-08        kinaba: 		if (U == 0 && L == 0 && D == 0)
69a17ebf8a 2021-07-08        kinaba: 			return 1;
69a17ebf8a 2021-07-08        kinaba: 		mint ans = 0;
69a17ebf8a 2021-07-08        kinaba: 		if (p != 0 && U != 0)
69a17ebf8a 2021-07-08        kinaba: 			ans += solve(0, U - 1, L, D);
69a17ebf8a 2021-07-08        kinaba: 		if (p != 1 && L != 0)
69a17ebf8a 2021-07-08        kinaba: 			ans += solve(1, U, L - 1, D);
69a17ebf8a 2021-07-08        kinaba: 		if (p != 2 && D != 0)
69a17ebf8a 2021-07-08        kinaba: 			ans += solve(2, U, L, D - 1);
69a17ebf8a 2021-07-08        kinaba: 		return memo[key] = ans.val;
69a17ebf8a 2021-07-08        kinaba: 	}
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: 	map<tuple<int, int, int, int>, int> memo;
69a17ebf8a 2021-07-08        kinaba: };
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: // BEGIN CUT HERE
69a17ebf8a 2021-07-08        kinaba: #include <ctime>
69a17ebf8a 2021-07-08        kinaba: double start_time; string timer()
69a17ebf8a 2021-07-08        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
69a17ebf8a 2021-07-08        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
69a17ebf8a 2021-07-08        kinaba:  { os << "{ ";
69a17ebf8a 2021-07-08        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
69a17ebf8a 2021-07-08        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
69a17ebf8a 2021-07-08        kinaba: void verify_case(const int& Expected, const int& Received) {
69a17ebf8a 2021-07-08        kinaba:  bool ok = (Expected == Received);
69a17ebf8a 2021-07-08        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
69a17ebf8a 2021-07-08        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
69a17ebf8a 2021-07-08        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
69a17ebf8a 2021-07-08        kinaba: #define END	 verify_case(_, AnnoyingPasswords().count(U, L, D));}
69a17ebf8a 2021-07-08        kinaba: int main(){
69a17ebf8a 2021-07-08        kinaba: 
69a17ebf8a 2021-07-08        kinaba: CASE(0)
69a17ebf8a 2021-07-08        kinaba: 	int U = 4;
69a17ebf8a 2021-07-08        kinaba: 	int L = 1;
69a17ebf8a 2021-07-08        kinaba: 	int D = 1;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 0;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(1)
69a17ebf8a 2021-07-08        kinaba: 	int U = 5;
69a17ebf8a 2021-07-08        kinaba: 	int L = 0;
69a17ebf8a 2021-07-08        kinaba: 	int D = 4;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 783743727;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(2)
69a17ebf8a 2021-07-08        kinaba: 	int U = 1;
69a17ebf8a 2021-07-08        kinaba: 	int L = 1;
69a17ebf8a 2021-07-08        kinaba: 	int D = 1;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 40560;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(3)
69a17ebf8a 2021-07-08        kinaba: 	int U = 2;
69a17ebf8a 2021-07-08        kinaba: 	int L = 2;
69a17ebf8a 2021-07-08        kinaba: 	int D = 3;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 559599923;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(4)
69a17ebf8a 2021-07-08        kinaba: 	int U = 0;
69a17ebf8a 2021-07-08        kinaba: 	int L = 0;
69a17ebf8a 2021-07-08        kinaba: 	int D = 0;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 1;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(5)
69a17ebf8a 2021-07-08        kinaba: 	int U = 26;
69a17ebf8a 2021-07-08        kinaba: 	int L = 26;
69a17ebf8a 2021-07-08        kinaba: 	int D = 10;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 0;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: CASE(6)
69a17ebf8a 2021-07-08        kinaba: 	int U = 0;
69a17ebf8a 2021-07-08        kinaba: 	int L = 0;
69a17ebf8a 2021-07-08        kinaba: 	int D = 0;
69a17ebf8a 2021-07-08        kinaba: 	int _ = 1;
69a17ebf8a 2021-07-08        kinaba: END
69a17ebf8a 2021-07-08        kinaba: }
69a17ebf8a 2021-07-08        kinaba: // END CUT HERE