#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e17; const ll dy[9]={0,1,-1,0,1,1,-1,-1,0}; const ll dx[9]={1,0,0,-1,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } //N=10^5,s<=10^10で1000msくらい struct fast_factorize{ using i128=__int128_t; vector wit={2, 325, 9375, 28178, 450775, 9780504, 1795265022}; ll modpow(ll a,ll b,ll m){ ll ret=1,now=a; while(b){ if(b&1)ret=i128(ret)*now%m; now=i128(now)*now%m; b>>=1; } return ret; } bool isprime(ll p){ if(p==2)return true; if(p==1||p%2==0)return false; ll s=0,d=p-1; while(d%2==0){ d/=2;s++; } for(auto a:wit){ if(a%p==0)continue; bool iscomp=true; ll x=modpow(a,d,p); if(x==1)iscomp=false; rep(i,s){ if(x==p-1)iscomp=false; x=i128(x)*x%p; } if(iscomp)return false; } return true; } long long find_factor(long long n) { assert(n > 1); if (n % 2 == 0) return 2; if (isprime(n)) return n; auto f = [&](__int128 x) -> long long { return (x * x + 1) % n; }; for (int t = 1;; t++) { long long x0 = t, m = max(n >> 3, 1LL), x, ys, y = x0, r = 1, g, q = 1; do { x = y; for (int i = r; i--;) y = f(y); long long k = 0; do { ys = y; for (int i = min(m, r - k); i--;) y = f(y), q = __int128(q) * abs(x - y) % n; g = gcd(q, n); k += m; } while (k < r and g <= 1); r <<= 1; } while (g <= 1); if (g == n) { do { ys = f(ys); g = gcd(abs(x - ys), n); } while (g <= 1); } if (g != n) return g; } } vector factor(ll n){ vector ret; while(n>1){ ll f=find_factor(n); if(f> s; ll n=s.size(); fast_factorize fz; ll ans=0; repl(bit,1<<(n-1),1<<(n)){ ll ret=0,now=0; rep(i,n){ now*=10;now+=(s[i]-'0'); if(bit>>i&1){ ret+=now;now=0; } } //cout << ret << endl; ans+=fz.isprime(ret); } cout << ans << endl; }