#include using namespace std; using Int = long long; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a struct Mint{ T v; Mint():v(0){} Mint(signed v):v(v){} Mint(long long t){v=t%MOD;if(v<0) v+=MOD;} Mint pow(long long k){ Mint res(1),tmp(v); while(k){ if(k&1) res*=tmp; tmp*=tmp; k>>=1; } return res; } static Mint add_identity(){return Mint(0);} static Mint mul_identity(){return Mint(1);} Mint inv(){return pow(MOD-2);} Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;} Mint& operator/=(Mint a){return (*this)*=a.inv();} Mint operator+(Mint a) const{return Mint(v)+=a;}; Mint operator-(Mint a) const{return Mint(v)-=a;}; Mint operator*(Mint a) const{return Mint(v)*=a;}; Mint operator/(Mint a) const{return Mint(v)/=a;}; Mint operator-() const{return v?Mint(MOD-v):Mint(v);} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} bool operator <(const Mint a)const{return v fact,finv,invs; static void init(int n){ int m=fact.size(); if(n=m;i--) finv[i-1]=finv[i]*Mint(i); for(int i=m;i<=n;i++) invs[i]=finv[i]*fact[i-1]; } static Mint C(int n,int k){ if(n vector > Mint::fact = vector >(); template vector > Mint::finv = vector >(); template vector > Mint::invs = vector >(); struct FastIO{ FastIO(){ cin.tie(0); ios::sync_with_stdio(0); } }fastio_beet; //INSERT ABOVE HERE signed main(){ int n,b; cin>>n>>b; vector s(n); for(Int i=0;i>s[i]; using M = Mint; M::init(3e5); vector cnt(n,0); for(int i=0;i xs,ys; for(int i=n-1;i>=0;i--){ if(cnt[i]==0) continue; M x=M::H(sum,cnt[i]); M y=M::H(sum+1,cnt[i])-x; x*=M::fact[cnt[i]]; y*=M::fact[cnt[i]]; xs.emplace_back(x); ys.emplace_back(y); sum+=cnt[i]; } int m=xs.size(); vector dp(ys); { M tmp(1); for(int i=0;i=0;i--){ dp[i]*=tmp; tmp*=xs[i]+ys[i]*M(b); } } M ans(0); for(int i=0;i