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- #include <bits/stdc++.h>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- using namespace std;
- using namespace __gnu_pbds;
- #define ll long long
- #define OO 2'000'000'000
- #define ull unsigned long long
- #define nl '\n'
- #define sz(x) (ll)(x.size())
- #define all(x) x.begin(),x.end()
- #define rall(s) s.rbegin(), s.rend()
- #define getline(s) getline(cin>>ws,s)
- #define ceill(n, m) (((n) / (m)) + ((n) % (m) ? 1 : 0))
- #define pi 3.141592653589793
- #define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
- #define multi_ordered_set tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update>
- void Fast_IO(){
- ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
- // freopen("filename.in", "r", stdin);
- // freopen("filename.txt", "w", stdout);
- #ifndef ONLINE_JUDGE
- freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout);
- #endif
- }
- int dx[] = { 2, 1, -1, -2, -2, -1, 1, 2 };
- int dy[] = { 1, 2, 2, 1, -1, -2, -2, -1 };
- const int MOD = 1e9 + 7;
- vector<ll>fact(15,1);
- void solve(){
- ll n; cin>>n;
- vector<ll> v(n);
- for(int i=0;i<n;i++) cin>>v[i];
- sort(rall(v));
- for(ll i=1;i<15;i++){
- fact[i] = fact[i-1]*i;
- }
- ll ans = 0;
- // generating all subsets of size 3
- for(int i=0;i<n;i++){
- for(int j=i+1;j<n;j++){
- for(int k=j+1;k<n;k++){
- if(v[i]%v[j]==0 and v[i]%v[k]==0) ans+=(2*fact[n-3])%MOD;
- }
- }
- }
- cout<<ans<<nl;
- }
- int main(){
- Fast_IO();
- int t =1;
- //cin>>t;
- while(t--){
- solve();
- }
- return 0;
- }
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