#include using namespace std; using ll=long long; #define P pair #define fi first #define se second #define rep(i,n) for(int i=0;i inline bool chmax(T &a,U b){ if(a inline bool chmin(T &a,U b){ if(a>b){ a=b; return true; } return false; } constexpr int INF=1000000000; constexpr ll llINF=1000000000000000000; constexpr int mod=1000000007; constexpr double eps=1e-8; const double pi=acos(-1); int dx[]={0,1,0,-1},dy[]={1,0,-1,0}; int Random(int mi,int ma){ random_device rnd; mt19937 mt(rnd());//32bit //[mi,ma] uniform_int_distributionengine(mi,ma); return engine(mt); } /* vector>C,sC; void init_comb(int n,int m){ C.resize(n+1,vector(m+1,0)); sC.resize(n+1,vector(m+1,0)); C[0][0]=1; for(int i=1;i<=n;i++){ C[i][0]=1; for(int j=1;j<=m;j++){ C[i][j]=(C[i-1][j-1]+C[i-1][j])%mod; } } rep(i,n+1){ rep(j,m){ sC[i][j+1]=(sC[i][j]+C[i][j])%mod; } } }*/ ll gcd(ll a,ll b){ while(a%b){ a%=b; swap(a,b); } return b; } ll lcm(ll a,ll b){ return a/gcd(a,b)*b; } bool prime(int a){ if(a==1)return false; for(int i=2;i*i<=a;i++){ if(a%i==0)return false; } return true; } ll modpow(ll a,ll b){ ll res=1; while(b){ if(b&1){ res*=a; res%=mod; } a*=a; a%=mod; b>>=1; } return res; } vectorinv,fact,factinv; void init_fact(int n){ inv.resize(n+1); fact.resize(n+1); factinv.resize(n+1); inv[0]=0; inv[1]=1; fact[0]=1; factinv[0]=1; for(ll i=1;i<=n;i++){ if(i>=2)inv[i]=mod-((mod/i)*inv[mod%i]%mod); fact[i]=(fact[i-1]*i)%mod; factinv[i]=factinv[i-1]*inv[i]%mod; } } ll _inv(ll a,ll m=mod){ //gcd(a,m) must be 1 ll b=m,u=1,v=0; while(b){ ll t=a/b; a-=t*b;swap(a,b); u-=t*v;swap(u,v); } u%=m; if(u<0)u+=m; return u; } ll comb(int a,int b){ if(a>n; rep(i,n)cin>>a[i]; dp[0]=1; rep(i,n){ for(int j=1;j<=r;j++){ int k=i%j; dp[i]+=b[j][k]; dp[i]%=mod; } if(a[i]<=r){ b[a[i]][i%a[i]]+=dp[i]; b[a[i]][i%a[i]]%=mod; if(a[i]>1){ dp[i+1]+=dp[i]; dp[i+1]%=mod; } } else{ for(int j=i+a[i];j