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- #include<bits/stdc++.h>
- using namespace std;
- #define nl "\n"
- #define fi first
- #define se second
- #define pb push_back
- #define ll long long
- #define ull unsigned ll
- #define RV return void
- #define inf 2000000000
- #define MOD ((ll) 1e9 + 7)
- #define sz(x) int(x.size())
- #define all(v) v.begin(), v.end()
- #define rall(v) v.rbegin(), v.rend()
- #define Mini(x) *min_element(all(x))
- #define Maxi(x) *max_element(all(x))
- #define fixed(n) fixed << setprecision(n)
- #define ceil(w, m) (((w) / (m)) + ((w) % (m) ? 1 : 0))
- #define cin(v) for (auto&i:v) cin >> i;
- #define cout(v) for (auto&i:v) cout << i << " ";
- #define clr(memo, x) memset(memo, x, sizeof memo)
- #define updmin(a, b) a = min(a, b)
- #define updmax(a, b) a = max(a, b)
- #define vi vector < int >
- #define vl vector < ll >
- #define vc vector < char >
- #define vs vector < string >
- #define v2i vector < vector < int > >
- #define v2l vector < vector < int > >
- #define seti set < int >
- #define setl set < ll >
- #define mapii map < int , int >
- #define mapll map < ll , ll >
- #define mapli map < ll , int >
- #define mapci map < char , int >
- #define mapsi map < string , int >
- #define pll pair < ll , ll >
- #define pii pair < int , int >
- #define range(l,r,x) for(int i=l ; i < r ; i+=x)
- #define FastCode ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
- vector < string > ternary= {"NO\n" , "YES\n"};
- void Zainab(){
- #ifndef ONLINE_JUDGE
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif
- }
- /*================================ Prblem solution ================================ */
- const ll mod = (ll) (1e9+7);
- ll mul(ll a , ll b , ll mod=MOD){
- return ( (a % mod) * ( b % mod)) % mod ;
- }
- ll BinEx(ll a , ll b , ll mod=MOD){
- ll ret =1;
- while(b){
- if( b & 1 ) ret = mul(ret , a );
- a = mul(a ,a);
- b>>=1;
- }
- return ret;
- }
- ll inv(ll x){
- return BinEx(x,MOD-2);
- }
- void myCode(){
- int n ;
- cin >> n ;
- ll num = 1 , sum =1 , N =1;
- // pro = pow (n , num/2 )
- vector < pair < ll , ll > > v (n);
- for(int i =0 ; i < n ; i++ ){
- ll x , k;
- cin >> x >> k;
- v[i]={x,k};
- num = mul(num , k+1 );
- sum =mul ( sum , (BinEx(x , k+1 ) -1) * inv(x-1) );
- }
- ll ans =1;
- for(auto& [x,k] : v){
- ll temp = BinEx(k , num/2 , mod-1);
- ans = mul(ans , BinEx(x , temp , mod));
- }
- cout << num << " " << sum << " " << ans;
- }
- int main(){
- FastCode ;
- Zainab() ;
- int testCase=1;
- // cin >> testCase ;
- for(int i=1 ; i<= testCase ; i++)
- myCode();
- return 0;
- }
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