#include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; class BIT{ static const int MAX_N = 1 << 21; int n; vector bit; public: BIT(int n_):bit(MAX_N+1){ n = n_; for(int i=0; i0){ s+=bit[i]; i-=i&(-i); } return s; } void add(int i, int x){ while(i<=n){ bit[i]+=x; i+=i&(-i); } } }; const long double PI = 4.0 * atan(1); typedef std::vector< std::complex > VComp; void fft(VComp& a, long double theta){ int n = a.size(); for(int m=n; m>=2; m>>=1){ for(int i=0; i<(m>>1); i++){ std::complex w = exp(i*theta*std::complex(0,1)); for(int j=i; j>1); std::complex x = a[j]-a[k]; a[j] += a[k]; a[k] = w*x; } } theta *= 2; } int i=0; for(int j=1; j>1; k>(i^=k); k>>=1); if(j(0,0)); for(int i=str.length()-1,j=0; i>=0; i--,j++){ ret[j] = str[i] - '0'; } return ret; } VComp VComp_mult(const VComp& a, const VComp& b){ VComp ret(a.size(), std::complex(0,0)); for(int i=0; i= n) n <<= 1; VComp ret1 = str2vec(str1, n); VComp ret2 = str2vec(str2, n); fft(ret1, 2 * PI / n); fft(ret2, 2 * PI / n); VComp ret = VComp_mult(ret1, ret2); fft(ret, -2 * PI / n); //print(ret); std::string ans = ""; int carry = 0; int nonzero_idx = 0; for(int i=0; i 0){ ans += (char)('0' + carry); nonzero_idx = ret.size(); } std::string noleadingzero = ans.substr(0,nonzero_idx+1); std::reverse(noleadingzero.begin(), noleadingzero.end()); return noleadingzero; } string ull2str(ull num){ if(num == 0) return "0"; string ret = ""; while(num>0){ ret += '0' + (num%10); num /= 10; } reverse(ALLOF(ret)); return ret; } string str_add(const string& p, const string& q){ int l = max(p.size(), q.size()); deque ret; int pi=p.size()-1, qi=q.size()-1; int c = 0; while(pi>=0 || qi>=0){ int pp = 0, qq = 0; if(pi>=0) pp = p[pi]-'0'; if(qi>=0) qq = q[qi]-'0'; ret.push_back((c=(pp)+(qq)+c/10)%10); pi--; qi--; } while(c/10 > 0){ ret.push_back((c/10)%10); c /= 10; } string rets = ""; for(int i=ret.size()-1; i>=0; i--){ rets += '0' + ret[i]; } return rets; } int main(){ ios::sync_with_stdio(false); int N; cin >> N; vector v; rep(i,N){ int p; cin >> p; v.push_back(p); } BIT bit(1<<20); vector v_num(N); vector v_p(N); string p = "1"; string ret = "1"; for(int i=N-1; i>=0; i--){ ull num = bit.sum(v[i]); ret = str_add(ret, fft_multi(ull2str(num), p)); p = fft_multi(p, ull2str(N-i)); bit.add(v[i], 1); } cout << ret << endl; return 0; }