//#define _GLIBCXX_DEBUG #include using namespace std; #define endl '\n' #define lfs cout<= (ll)(n); i--) using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 1e18; using P = pair; template using PQ = priority_queue; template using QP = priority_queue,greater>; templatebool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} templatebool chmax(T1 &a,T2 b){if(avoid ans(bool x,T1 y,T2 z){if(x)cout<void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);}; templatevoid debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;ivoid debug(const T &v,ll n,string sv=" "){if(n!=0)cout<void debug(const vector&v){debug(v,v.size());} templatevoid debug(const vector>&v){for(auto &vv:v)debug(vv,vv.size());} templatevoid debug(stack st){while(!st.empty()){cout<void debug(queue st){while(!st.empty()){cout<void debug(deque st){while(!st.empty()){cout<void debug(PQ st){while(!st.empty()){cout<void debug(QP st){while(!st.empty()){cout<void debug(const set&v){for(auto z:v)cout<void debug(const multiset&v){for(auto z:v)cout<void debug(const map&v){for(auto z:v)cout<<"["<vector>vec(ll x, ll y, T w){vector>v(x,vector(y,w));return v;} ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;} vectordx={1,-1,0,0,1,1,-1,-1};vectordy={0,0,1,-1,1,-1,1,-1}; templatevector make_v(size_t a,T b){return vector(a,b);} templateauto make_v(size_t a,Ts... ts){return vector(a,make_v(ts...));} templateostream &operator<<(ostream &os, const pair&p){return os << p.first << " " << p.second;} templateostream &operator<<(ostream &os, const vector &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;} templatevoid rearrange(vector&ord, vector&v){ auto tmp = v; for(int i=0;ivoid rearrange(vector&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template vector ascend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return v[i] vector descend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];}); return ord; } ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;} templateT min(const vector&v){return *min_element(v.begin(),v.end());} templateT max(const vector&v){return *max_element(v.begin(),v.end());} templateT acc(const vector&v){return accumulate(v.begin(),v.end(),T(0));}; templateT reverse(const T &v){return T(v.rbegin(),v.rend());}; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; templateT poll(queue &q){auto ret=q.front();q.pop();return ret;}; templateT poll(priority_queue &q){auto ret=q.top();q.pop();return ret;}; templateT poll(QP &q){auto ret=q.top();q.pop();return ret;}; templateT poll(stack &s){auto ret=s.top();s.pop();return ret;}; template< typename T = int > struct edge { int to; T cost; int id; edge():id(-1){}; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template using Graph = vector>>; template Graph readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph ret(n); for(int es = 0; es < m; es++){ int u,v,w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template Graph readParent(int n,int indexed=1,bool directed=true){ Graphret(n); for(int i=1;i>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } struct RationalNumber{ long long a, b; RationalNumber(){ a = 0,b = 1; } RationalNumber(long long p, long long q):a(p), b(q){// a / b reduction(); }; RationalNumber(long long p):a(p), b(1){// a / b }; void reduction(){ long long g = __gcd(a, b); a /= g, b /= g; if(b < 0)a *= -1,b *= -1; } RationalNumber &operator+=(const RationalNumber &x){ long long q = b / __gcd(b, x.b) * x.b; a = a * (q / b) + x.a * (q / x.b); b = q; reduction(); return *this; } RationalNumber &operator-=(const RationalNumber &x){ long long q = b / __gcd(b, x.b) * x.b; a = a * (q / b) - x.a * (q / x.b); b = q; reduction(); return *this; } RationalNumber &operator*=(const RationalNumber &x){ long long q1 = __gcd(a, x.b), q2 = __gcd(b, x.a); a = (a / q1) * (x.a / q2), b = (b / q2) * (x.b / q1); return *this; } RationalNumber &operator/=(const RationalNumber &x){ long long q1 = __gcd(a, x.a), q2 = __gcd(b, x.b); a = (a / q1) * (x.b / q2), b = (b / q2) * (x.a / q1); return *this; } RationalNumber operator+(const RationalNumber &x)const{ return RationalNumber(*this) += x; } RationalNumber operator-(const RationalNumber &x)const{ return RationalNumber(*this) -= x; } RationalNumber operator*(const RationalNumber &x)const{ return RationalNumber(*this) *= x; } RationalNumber operator/(const RationalNumber &x)const{ return RationalNumber(*this) /= x; } RationalNumber operator-()const{ return RationalNumber(-a, b); } bool operator==(const RationalNumber &x)const{ return a * x.b == b * x.a; }; bool operator!=(const RationalNumber &x)const{ return !(*this == x); }; bool operator<(const RationalNumber &x)const{ return a * x.b < b * x.a; } bool operator>(const RationalNumber &x)const{ return a * x.b > b * x.a; } bool operator<=(const RationalNumber &x)const{ return *this < x || *this == x; } bool operator>=(const RationalNumber &x)const{ return *this > x || *this == x; } friend ostream &operator<<(ostream &os, RationalNumber x){ return os << x.a << "/" << x.b; } }; using rat=RationalNumber; int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); ll res=0,buf=0; bool judge = true; ll n,k;cin>>n>>k;k--; vectora(n); rep(i,0,n)cin>>a[i]; vectorb(n),c(n); b[0]=1,c[0]=0; rep(i,1,n-1){ rat p(a[i-1],a[i+1]+a[i-1]); rat q(a[i+1],a[i+1]+a[i-1]); b[i]=p*b[i-1]/(rat(1)-p*c[i-1]); c[i]=q/(rat(1)-p*c[i-1]); } vectord(n); d[n-1]=0; rrep(i,0,n-1){ d[i]=b[i]+c[i]*d[i+1]; } cout<