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| #include <bits/stdc++.h> #include <functional> #define all(vec) vec.begin(),vec.end() #define pb push_back #define EB emplace_back #define EM emplace #define FI first #define SE second #define pct __builtin_popcountll #define ctz __builtin_ctzll #define SZ(a) ((long long) a.size()) #define FOR(i, a, b) for (long long i = (a); i <= (b); ++i) #define ROF(i, a, b) for (long long i = (a); i >= (b); --i) #define debug(var) cerr << #var <<":"<<var<<"\n"; #define cend cerr<<"\n-----------\n" #define lson(var) (var<<1) #define rson(var) ((var<<1)+1) #define fsp(x) fixed<<setprecision(x)
using namespace std;
using ll = long long;using ull = unsigned long long; using DB=double;using LD=long double; using i128 = __int128; using pdd = pair<DB,DB>;using plb = pair<ll,bool>; using pll = pair<ll,ll>;using vll=vector<ll>;using vb=vector<bool>; using tll = tuple<ll,ll,ll>; using vpll = vector<pll>;using vtll = vector<tll>; using vdb = vector<DB>;using vc=vector<char>; using arr3 = array<ll,3> ;using arr2 = array<ll,2>; static constexpr ll MAXN=(ll)1e6+10,INF=(ll)1e17+9; static constexpr ll mod=998244353; static constexpr double eps=1e-8;const double pi=acos(-1.0); ll N,M,Q,X,K,T,lT;
inline void __(); signed main() { ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); cin>>lT; while(lT--) __(); return 0; }
ll binpow(ll a,ll k,const ll &p=mod){ ll res=1; a%=p; while(k>0){ if((k&1)==1) res=a*res%p; a=a*a%p; k>>=1; } return res; } inline void __(){ ll a,b,c,d; cin>>a>>b>>c>>d; if(b>=d){ swap(a,c); swap(b,d); } i128 ans=1; function<void(ll,ll,ll,ll)> dfs=[&](ll a,ll b,ll c,ll d){ if(d>=b){ }else{ swap(a,c); swap(b,d); } if(b==0 || d==0 || a==1 || c==1){ return; } if(b<=1 && d<=1){ if(b==0) a=1; if(d==0) c=1; ans*=__gcd(c,a); ans%=mod; return; } ll e=__gcd(a,c); ans*=binpow(e, b); ans%=mod; ll x=a/e; dfs(x,b,e,d-b); }; dfs(a,b,c,d); cout<<(ll)ans<<"\n"; }
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