#include<bits/stdc++.h> using namespace std; typedef long long ll; ll n,m,y,z,p,x,ans,block; map<ll,int>mp; ll quick(ll a,ll b,ll p) { ll res=1%p; while (b) { if (b&1) { res=res*a%p; } a=a*a%p; b=b>>1; } return res; } void solve1() { for (int i=1; i<=n; i++) { scanf("%lld%lld%lld",&y,&z,&p); y=y%p; printf("%lld\n",quick(y,z,p)); } } void solve2() { for (int i=1; i<=n; i++) { scanf("%lld%lld%lld",&y,&z,&p); y%=p; z%=p; if (y==0&&z!=0) { printf("Orz, I cannot find x!\n"); } else { printf("%lld\n",z*quick(y,p-2,p)%p); } } } void solve3() { for (int i=1; i<=n; i++) { scanf("%lld%lld%lld",&y,&z,&p); ans=-1; mp.clear(); y=y%p; if (y==0&&z==0) { printf("1\n"); continue; } if (y==0) { printf("Orz, I cannot find x!\n"); continue; } block=ceil(sqrt(p)); ll num=z; for (int j=0; j<=block; j++) { mp[num]=j+1; num=num*y%p; } ll sum=quick(y,block,p); num=sum; for (int j=1; j<=block; j++) { if (mp[num%p]) { if (mp[num%p]==-1) ans=0; else { ans=j*block-mp[num]+1; } break; } num=num*sum%p; } if (ans==-1) { printf("Orz, I cannot find x!\n"); } else { printf("%lld\n",ans); } } } int main() { scanf("%lld%lld",&n,&m); if (m==1) { solve1(); } if (m==2) { solve2(); } if (m==3) { solve3(); } }