#include #ifdef DEBUG #include #else #define dump(...) ((void)0) #endif template bool chmin(T &a, const U &b){ return (a > b ? a = b, true : false); } template bool chmax(T &a, const U &b){ return (a < b ? a = b, true : false); } template void fill_array(T (&a)[N], const U &v){ std::fill((U*)a, (U*)(a + N), v); } template auto make_vector(const std::array &a, T value = T()){ static_assert(I >= 1); static_assert(N >= 1); if constexpr (I == 1){ return std::vector(a[N - I], value); }else{ return std::vector(a[N - I], make_vector(a, value)); } } template std::ostream& operator<<(std::ostream &s, const std::vector &a){ for(auto it = a.begin(); it != a.end(); ++it){ if(it != a.begin()) s << " "; s << *it; } return s; } template std::istream& operator>>(std::istream &s, std::vector &a){ for(auto &x : a) s >> x; return s; } std::string YesNo(bool value){return value ? "Yes" : "No";} std::string YESNO(bool value){return value ? "YES" : "NO";} std::string yesno(bool value){return value ? "yes" : "no";} template void putl(const T &value){ std::cout << value << "\n"; } template void putl(const Head head, const Tail &... tail){ std::cout << head << " "; putl(tail ...); } namespace haar_lib { std::vector index_to_permutation(int64_t N, int S){ std::vector ret; std::vector nums(S); std::iota(nums.begin(), nums.end(), 0); int64_t p = 1; for(int i = 1; i <= S; ++i) p *= i; for(int i = 0; i < S; ++i){ p /= S - i; int64_t index = N / p; for(int j = 0, k = -1; j < S; ++j){ if(nums[j] >= 0){ ++k; if(k == index){ ret.push_back(j); nums[j] = -1; break; } } } N %= p; } return ret; } int64_t permutation_to_index(const std::vector &a){ const int N = a.size(); int64_t ret = 0; std::vector nums(N); std::iota(nums.begin(), nums.end(), 0); int64_t p = 1; for(int i = 1; i <= N; ++i) p *= i; for(int i = 0; i < N; ++i){ p /= N - i; for(int j = 0, k = -1; j < N; ++j){ if(nums[j] >= 0){ ++k; if(nums[j] == a[i]){ ret += p * k; nums[j] = -1; break; } } } } return ret; } std::vector inverse_permutation(const std::vector &a){ const int N = a.size(); std::vector ret(N); for(int i = 0; i < N; ++i){ ret[a[i]] = i; } return ret; } } namespace solver { using namespace haar_lib; constexpr int m1000000007 = 1000000007; constexpr int m998244353 = 998244353; void init(){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(12); std::cerr << std::fixed << std::setprecision(12); std::cin.exceptions(std::ios_base::failbit); } void solve(){ int64_t N, S; std::cin >> N >> S; auto p = index_to_permutation(N, S); p = inverse_permutation(p); int64_t ans = permutation_to_index(p); std::cout << ans << "\n"; } } int main(){ solver::init(); while(true){ try{ solver::solve(); std::cout << std::flush; std::cerr << std::flush; }catch(const std::istream::failure &e){ break; }catch(...){ break; } } return 0; }