#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(a);i>(b);i--) #define ALL(v) (v).begin(),(v).end() typedef long long int ll; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12; void tostr(ll x,string& res){while(x)res+=('0'+(x%10)),x/=10; reverse(ALL(res)); return;} template inline bool chmax(T& a,T b){ if(a inline bool chmin(T& a,T b){ if(a>b){a=b;return 1;}return 0; } //end ll mod=1e9+7; struct Mint { ll val; ll inv() const{ ll tmp,a=val,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); if(x<0)x+=mod; return x; } Mint():val(0){} Mint(ll x):val(x>=0?x%mod:mod+(x%mod)){} Mint pow(ll t){Mint res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;}return res;} Mint& operator+=(const Mint& x){if((val+=x.val)>=mod)val-=mod;return *this;} Mint& operator-=(const Mint& x){if((val+=mod-x.val)>=mod)val-=mod; return *this;} Mint& operator*=(const Mint& x){val=val*x.val%mod; return *this;} Mint& operator/=(const Mint& x){val=val*x.inv()%mod; return *this;} Mint operator+(const Mint& x)const{return Mint(*this)+=x;} Mint operator-(const Mint& x)const{return Mint(*this)-=x;} Mint operator*(const Mint& x)const{return Mint(*this)*=x;} Mint operator/(const Mint& x)const{return Mint(*this)/=x;} bool operator==(const Mint& x)const{return val==x.val;} bool operator!=(const Mint& x)const{return val!=x.val;} }; struct factorial { vector Fact, Finv; public: factorial(int maxx){ Fact.resize(maxx+1),Finv.resize(maxx+1); Fact[0]=Mint(1); rep(i,0,maxx)Fact[i+1]=Fact[i]*(i+1); Finv[maxx]=Mint(1)/Fact[maxx]; rrep(i,maxx,0)Finv[i-1]=Finv[i]*i; } Mint fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];} Mint nPr(int n,int r){if(n<0||n>=1; } return res; } int phi(int n){ int res=n; for(int i=2;i*i<=n;i++)if(n%i==0){ res=res/i*(i-1); while(n%i==0)n/=i; } if(n!=1)res=res/n*(n-1); return res; } mt19937 mt; unordered_map memo_g; int modroot(int k,int y){ if(mod==2)return y&1; vector ds; int tmp=mod-1; for(int p=2;p*p<=tmp;p++)if(tmp%p==0){ ds.push_back(p); if(p*p!=tmp)ds.push_back(tmp/p); } int g; if(!memo_g.count(g)){ while(1){ g=mt()%(mod-2)+2; bool f=1; for(int d:ds)if(Mint(g).pow(d)==1){f=0; break;} if(f)break; } memo_g[mod]=g; } else g=memo_g[mod]; unordered_map mp; int cur=y,ig=Mint(g).inv(),block=sqrt(mod); rep(i,0,block+2){mp[cur]=i; cur=(1LL*cur*ig)%mod;} int gs=Mint(g).pow(block).val,x=-1,pos=0; cur=1; while(x==-1){ if(mp.count(cur))x=pos+mp[cur]; cur=(1LL*cur*gs)%mod; pos+=block; } int gcd=__gcd(tmp,k); if(x%gcd)return -1; tmp/=gcd; x/=gcd; k/=gcd; return Mint(g).pow(1LL*x*mpow(k,phi(tmp)-1,tmp)%tmp).val; } int main(){ int q; cin>>q; while(q--){ int k,y; cin>>mod>>k>>y; cout<