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天梦楼主2021/4/2 15:24
#include<iostream>
#include<cstdio>
#include<cmath>
#include<algorithm>
#include<cstring>
#include<sstream>
#include<queue>
#include<map>
#include<vector>
#include<set>
#include<deque>
#include<cstdlib>
#include<ctime>
#define dd double
#define ld long double
#define ll long long
#define int long long
#define ull unsigned long long
#define N 100003
#define M number
using namespace std;

const int INF=0x3f3f3f3f;

inline int Min(int a,int b){
	return a>b?b:a;
}

inline ll read(){
	ll x=0,f=1;
	char ch=getchar();
	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
	return x*f;
}

struct HASH{
	static const int mod=100003;
	int a[N+2],b[N+2];
	
	inline HASH(){
		memset(a,-1,sizeof(a));
	}
	
	inline int h(int x){
		return x%mod;
	}
	
	inline int find(int x){
		int w=h(x);
		while(a[w]!=-1&&a[w]!=x){
			w++;
			if(w==mod) w=0;
		}
		return w;
	}
	
	inline bool insert(int x,int ci){
		int w=find(x);
		if(a[w]==x) return 0;
		a[w]=x;b[w]=ci;
		return 1;
	}
	
	inline bool ask(int x,int &ci){
		int w=find(x);
		if(a[w]==-1) return 0;
		ci=b[w];
		return 1;
	}
};
HASH ha;

int p,b,n,ans=INF;

inline int ksm(int a,int b,int mod){
	int res=1;
	while(b){
		if(b&1) (res*=a)%=mod;
		a=a*a%mod;
		b>>=1;
	}
	return res;
}

signed main(){
	p=read();b=read()%p;n=read()%p;
	if(p==2&&(b^n)==0){
		printf("1\n");
		return 0;
	}
	int m=ceil(sqrt(p));
	for(int i=0;i<=m+1;i++){
		ha.insert(ksm(b,i,p)*n%p,i);
//		printf("i:%d in hash:%d\n",i,ksm(b,i,p)*n%p);
	}
//	printf("m:%d\n",m);
	for(int i=0;i<=m+1;i++){
		int ci;
//		printf("ksm:%d\n",ksm(b,(i*m)%(p-1),p));
		if(ha.ask(ksm(b,(i*m)%(p-1),p),ci)){
//			printf("ci:%d\n",ci);
//			printf("allci:%d\n",((i*m)%(p-1)+p-1-ci)%(p-1));
//			printf("i:%d\n",i);
			ans=Min(ans,((i*m%(p-1)-ci)%(p-1)+p-1)%(p-1));
		}
	}
	if(ans!=INF) printf("%lld\n",ans);
	else printf("no solution\n");
	return 0;
}
/*
2 86922 75600
2 51142 85460
*/
2021/4/2 15:24
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