UVa 10484

#include<bits/stdc++.h>
using namespace std;

// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// #pragma GCC optimize("unroll-loops")

typedef unsigned long long ull;
typedef long long          ll;
typedef long double        lld;
typedef vector<int>        vi;
typedef vector<ll>         vll;
typedef vector<vi>         vvi;
typedef pair<int,int >     pii;
typedef pair<ll,ll >       pll;
typedef vector< pii >      vpii;
typedef vector< pll >      vpll;
typedef set<int>           sti;

#define sc                 scanf
#define pf                 printf
#define sci(n)             scanf("%d",&n)
#define scii(n,m)          scanf("%d %d",&n,&m)
#define scl(n)             scanf("%lld",&n)
#define scd(n)             scanf("%lf",&n)
#define scs(s)             scanf("%s",s)
#define pfi(n)             printf("%d",n)
#define pfl(n)             printf("%lld",n)
#define pff(n)             cout<<n
#define spc                printf(" ")
#define line               printf("\n")
#define loop(i,x,y)        for(int i=int(x); i<=int(y); i++)
#define rloop(i,y,x)       for(int i=int(y); i>=int(x); i--)
#define cspf(i)            printf("Case %d: ", i)
#define vout(v)            for(int w=0;w<v.size();w++){if(w) cout<<' '; cout<<v[w];}
#define clr(a,x)           memset(a,x,sizeof(a))
#define tp(v,j)            get<j>(v)
#define pb                 push_back
#define mp                 make_pair
#define mt                 make_tuple
#define ff                 first
#define ss                 second
#define all(v)             v.begin(),v.end()
#define rall(v)            v.rbegin(),v.rend()
#define read()             freopen("input.txt", "r", stdin)
#define write()            freopen("output.txt", "w", stdout)
#define fastIO()           ios_base::sync_with_stdio(false); cin.tie(NULL);
/// Constants
#define eps                1e-6
#define PI                 acos(-1.0)  // 3.1415926535897932
#define MAX                (ll)2147483647
#define MAXn               (ll)100001

int GCD(int a, int b) { return b == 0 ? a : GCD(b , a % b); }
ll LCM(ll a, ll b) { return a * (b/GCD(a, b)); }

bool isprime[MAXn+1];
vi prime;

void seive()
{
    clr(isprime,true);
    isprime[0]=false;
    isprime[1]=false;
    for(int i=4;i<MAXn;i+=2) isprime[i]=false;
    for(int i=3;i*i<MAXn;i+=2){
        if(!isprime[i]) continue;
        for(int j=i*i;j<MAXn;j+=2*i) isprime[j]=false;
    }

    prime.pb(2);
    for(int i=3;i<MAXn;i+=2){
        if(isprime[i]) prime.pb(i);
    }
}

int ncnt[101];

void fact_factors(int n)
{
    for(int i=0;prime[i]<=n;i++){
        int x = n;
        int c=0;
        while(x){
            c+=x/prime[i];
            x/=prime[i];
        }
        ncnt[prime[i]]=c;
    }
}

vpii facts;
void factors(int d)
{
    for(int i=0;prime[i]<=d/prime[i];i++){
        if(d%prime[i]==0){
            int c=0;
            while(d%prime[i]==0){
                d/=prime[i];
                c++;
            }
            facts.pb(mp(prime[i],c));
        }
    }
    if(d>1) facts.pb(mp(d,1));
}


int main()
{
    #ifdef VAMP
        clock_t tStart = clock();
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif

    seive();

    ll n,d;
    while(1){
        sc("%lld %lld",&n,&d);
        if(!d) break;
        d = abs(d);
        if(!n){
            if(d==1) pf("1\n");
            else pf("0\n");
            continue;
        }
        clr(ncnt,0);
        facts.clear();
        fact_factors(n);
        factors(d);
        ll ans = 1LL;
        int j=0;
        for(int i=2;i<=n;i++){
            if(j<facts.size()){
                int x = facts[j].ff;
                int y = facts[j].ss;
                if(x==i){
                    if(ncnt[i]>=y) ans*=(ll)(ncnt[i]+1-y);
                    else ans=0LL;
                    j++;
                }
                else ans*=(ll)(ncnt[i]+1);
            }
            else ans*=(ll)(ncnt[i]+1);
        }
        if(j<facts.size()) ans=0LL;
        pfl(ans);line;
    }


    #ifdef VAMP
        fprintf(stderr, "\n>> Runtime: %.10fs\n", (double) (clock() - tStart) / CLOCKS_PER_SEC);
    #endif

    return 0;
}