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#include<bits/stdc++.h>
using namespace std;
#define all(v) ((v).begin()),((v).end())
#define sz(v) (v.size())
#define yes cout<<"Yes"<<'\n';
#define no cout<<"No"<<'\n';
#define endl '\n';
#define f(i,j,k) for(long long i=j;i<k;i++)
#define fb(i,j,k) for(long long i=j;i>=k;i--)
#define fs(i,j,k,p) for(long long i=j;i<k;i+=p)
#define fbs(i,j,k,p) for(long long i=j;i>=k;i-=p)
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define ff first
#define ss second
#define pi 3.141592653589793238462
typedef long long ll;
typedef unsigned long long ull;
typedef long double lld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<vector<int>> vvi;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pp ;
typedef vector<ll> vll;
ll gcd(ll a , ll b) {return b ? gcd(b , a % b) : a ;}
ll lcm(ll a , ll b) {return (a * b) / gcd(a , b);}
long long pow(long long a, long long b, long long m) {
a %= m;
long long res = 1;
while (b > 0) {
if (b & 1)
res = res * a % m;
a = a * a % m;
b >>= 1;
}
return res;
}
ll mod =1e9+7;
void add_divs(ll x, map<ll, ll>&divs){
ll i = 2;
while(i * i <= x){
while (x % i == 0){
divs[i]++;
x /= i;
}
i++;
}
if(x > 1) divs[x]++;
}
#define fastio() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
#define int long long
int arr[105];
int arr1[105];
int n,k;
ll c(ll a)
{
return (arr[a]*arr1[a])%mod;
}
void solve()
{
cin>>n>>k;
arr[1]=k;
ll tt=1;
for (int i=2;i<100;++i)
{
arr[i]=((k+i-1)*arr[i-1])%mod;
arr1[i-1]=pow(tt,mod-2,mod);
tt*=i;
tt%=mod;
}
vector<int>dvs;
for (int i=1;i*i<=n;++i)
{
if (n%i==0)
{
dvs.push_back(i);
if (i*i!=n)dvs.pb(n/i);
}
}
map<ll,ll>m;
vector<map<int,int>>h(sz(dvs));
add_divs(n,m);
for (auto &x:m)
{
for (int i=0;i<sz(dvs);++i)
{
while(dvs[i]%x.ff==0)
{
h[i][x.ff]++;
dvs[i]/=x.ff;
}
}
}
ll output=0;
for (int i=0;i<sz(dvs);++i)
{
ll x=1;
for (auto &t:h[i])
{
x*=c(t.second);
x%=mod;
}
output+=x;
output%=mod;
}
cout<<output<<endl;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen("Error.txt", "w", stderr);
#endif
fastio();
int t;
t=1;
while(t--)
{
solve();
}
}Editor is loading...
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