扩展BSGS模板
#include <map>
#include <cmath>
#include <cstdio>
#include <iostream>
#include <unordered_map>
#define ll long long
using namespace std ;
unordered_map<ll, int> H ;
int N, M, P, ans ; // N ^x = M (mod P)
inline ll gcd(ll a, ll b){
if (!b) return a ;
return gcd(b, a % b) ;
}
inline ll expow(ll a, ll b, ll mod){
ll res = 1 ;
while (b) res = ((b & 1)?res * a % mod : res), a = a * a % mod, b >>= 1 ;
return res ;
}
inline ll exgcd(ll &x, ll &y, ll a, ll b){
if (!b){ x = 1, y = 0 ; return a ; }
ll t = exgcd(y, x, b, a % b) ; y -= x * (a / b) ; return t ;
}
inline ll BSGS(ll a, ll b, ll mod, ll qaq){
H.clear() ; ll Q, p = ceil(sqrt(mod)), x, y ;
exgcd(x, y, qaq, mod), b = (b * x % mod + mod) % mod,
Q = expow(a, p, mod), exgcd(x, y, Q, mod), Q = (x % mod + mod) % mod ;
for (ll i = 1, j = 0 ; j <= p ; ++ j, i = i * a % mod) if (!H.count(i)) H[i] = j ;
for (ll i = b, j = 0 ; j <= p ; ++ j, i = i * Q % mod) if (H[i]) return j * p + H[i] ; return -1 ;
}
inline ll exBSGS(){
ll qaq = 1 ;
ll k = 0, qwq = 1 ;
if (M == 1) return 0 ;
while ((qwq = gcd(N, P)) > 1){
if (M % qwq) return -1 ;
++ k, M /= qwq, P /= qwq, qaq = qaq * (N / qwq) % P ;
if (qaq == M) return k ;
}
return (qwq = BSGS(N, M, P, qaq)) == -1 ? -1 : qwq + k ;
}
int main(){
int T; scanf("%d",&T);
while(T --){
scanf("%d%d%d",&N, &M, &P); if (!N && !M && !P) return 0 ;
N %= P, M %= P, ans = exBSGS() ; if (ans < 0) puts("No Solution") ; else cout << ans << '
' ;
}
}