#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
#define int long long
const int MOD = pow(10,9)+7;
const int MOD2 = 998244353;
const int INF = LLONG_MAX/2;
int primes[1000000];
void seive(){
fill(primes, primes + 1000000, 1);
primes[0] = primes[1] = 0;
for(int i = 2 ; i*i < 1000000 ; i++){
if(primes[i]){
for(int j = i*i ; j < 1000000 ; j += i){
primes[j] = 0;
}
}
}
}
int factorial(int n){
if(n==0){
return 1;
}
return (n*(factorial(n-1)))%MOD;
}
bool isPrime(int n){
if(n <= 1) return false;
for(int i = 2 ; i*i <= n ; i++){
if(n % i == 0) return false;
}
return true;
}
int power(int a, int b){
if(b == 0) return 1;
a %= MOD;
int value = power(a, b / 2);
if(b % 2 == 0){
return (value * value) % MOD;
} else {
return ((value * value) % MOD * (a % MOD)) % MOD;
}
}
int gcd(int a, int b){
if(a == 0) return b;
return gcd(b % a, a);
}
void dfs(int node , vector<int>A[] , int visited[] , int sum[] , int parent[] , int values[]){
visited[node] = 1;
for(auto node1 : A[node]){
if(!visited[node1]){
parent[node1] = node;
dfs(node1,A,visited,sum,parent,values);
}
}
int s = 0;
for(auto node1 : A[node]){
if(parent[node]!=node1){
s = max(s,sum[node1]);
}
}
sum[node] = values[node]+s;
}
int spf[1000001];
void SPF(){
for(int i = 2 ; i<=1000000 ; i++){
spf[i] = i;
}
for(int i = 2 ; i<=sqrt(1000000) ; i++){
if(spf[i]==i){
for(int j = i*i ; j<=1000000 ; j+=i){
if(spf[j]==j){
spf[j] = i;
}
}
}
}
}
void solve() {
int n,m;
cin>>n>>m;
int A[n];
for(int i = 0 ; i<n ; i++){
cin>>A[i];
}
unordered_map<int,int>m1;
for(int i = 1 ; i<=m ; i++){
int d = i;
while(d!=1){
m1[spf[d]]++;
d /= spf[d];
}
}
for(int i = 0 ; i<n ; i++){
unordered_map<int,int>m2 = m1;
int d = A[i];
while(d!=1){
m2[spf[d]]++;
d /= spf[d];
}
int g = 1;
for(auto j:m2){
g = ((g%MOD)*((j.second+1)%MOD))%MOD;
}
cout<<g<<" ";
}
cout<<endl;
}
signed main(){
ios::sync_with_stdio(false); cin.tie(NULL);
SPF();
//int t;
//cin >> t;
//while(t--){
solve();
//}
return 0;
}
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