11……1(n个)=99……9(n个)/9=(10n-1)/9。
那么显然就是求离散对数了,BSGS即可。
#include<iostream> #include<cstdio> #include<cmath> #include<cstdlib> #include<cstring> #include<algorithm> #include<map> using namespace std; #define ll long long ll read() { ll x=0,f=1;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar(); return x*f; } ll k,m,block,a[1000000]; map<ll,ll> f; ll ksc(ll a,ll b) { ll t=a*b-(ll)((long double)a*b/m+0.5)*m; return t<0?t+m:t; } int main() { #ifndef ONLINE_JUDGE freopen("a.in","r",stdin); freopen("a.out","w",stdout); const char LL[]="%I64d "; #else const char LL[]="%lld "; #endif k=read(),m=read(); k=(k*9+1)%m; block=sqrt(m);f[a[0]=k]=1;ll s=1; for (int i=1;i<=block;i++) f[a[i]=a[i-1]*10%m]=i+1,s=s*10%m; ll t=s; for (ll i=block;i<=m+block;i+=block,s=ksc(s,t)) if (f[s]) {cout<<i-f[s]+1;return 0;} }