#include using namespace std; typedef signed long long ll; #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 FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int N; ll M; const ll mo=1000000007; ll from[55],to[55]; map enumpr(ll n) { map V; for(ll i=2;i*i<=n;i++) while(n%i==0) V[i]++,n/=i; if(n>1) V[n]++; return V; } ll hoge(int v) { int i,j; ZERO(from); FOR(j,v+1) from[j]=1; FOR(i,N-1) { for(j=1;j<=v;j++) (from[j]+=from[j-1])%=mo; FOR(j,v+1) to[j]=from[v-j]; swap(from,to); } ll ret=0; FOR(i,v+1) ret+=from[i]; return ret%mo; } void solve() { int i,j,k,l,r,x,y; string s; cin>>N>>M; ll ret=1; auto P=enumpr(M); FORR2(a,b,P) ret=ret*hoge(b)%mo; cout<