#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- ll S[30]; string T; int L; vector V[26]; int num[26]; ll mo=1000003; ll modpow(ll a, ll n = mo-2) { ll r=1; while(n) r=r*((n%2)?a:1)%mo,a=a*a%mo,n>>=1; return r; } struct comp { bool operator()(const pair a, const pair b) const { return (__int128_t)a.first*b.second < (__int128_t)a.second*b.first; } }; pair comb(ll a,ll b) { ll p=1; ll q=1; int dif=0; while(b) { if(a%mo==0) { dif++; if(a/mo%mo==0) { dif++; (p*=a/mo/mo)%=mo; } else { (p*=a/mo)%=mo; } } else { (p*=a%mo)%=mo; } if(b%mo==0) { dif--; (q*=b/mo)%=mo; } else { (q*=b%mo)%=mo; } a--; b--; } return {p*modpow(q)%mo,dif}; } ll hoge(ll s,vector p) { if(p.empty()) return 1; sort(ALL(p)); ll a=1,b=1; priority_queue,vector>,comp> Q; ll sum=0; FORR(r,p) sum+=r; ll pre=s/sum; s%=sum; int dif=0; FORR(r,p) { auto c=comb(r*pre,r); (a*=c.first)%=mo; dif+=c.second; Q.push(make_pair(r*pre+1,r*(pre-1)+1)); } while(s--) { auto r=Q.top(); Q.pop(); ll x=r.first; while(x%mo==0) { dif++; x/=mo; } a = x%mo*a%mo; x=r.second; while(x%mo==0) { dif--; x/=mo; } b = x%mo*b%mo; r.first++; r.second++; Q.push(r); } /* while(Q.size()) { auto a=Q.top(); Q.pop(); cout<>S[i]; cin>>T; L=T.size(); V[T[0]-'a'].push_back(1); FOR(i,L-1) { if(T[i]==T[i+1]) V[T[i+1]-'a'].back()++; else V[T[i+1]-'a'].push_back(1); } FOR(i,L) num[T[i]-'a']++; __int128 ret=1; FOR(i,26) if(num[i]>S[i]) return _P("0\n"); FOR(i,26) (ret*=hoge(S[i],V[i]))%=mo; cout<<(ll)ret<