Quadratic primes
29967 단어 프로 그래 밍 기초
#include
#include
using namespace std;
const int S = 8;
long long mult_mod(long long a, long long b, long long c){
a%= c;
b%= c;
long long ret = 0;
long long tmp = a;
while (b)
{
if(b&1){
ret += tmp;
if(ret>c) ret-=c;
}
tmp <<=1;
if(tmp>c) tmp -=c;
b >>=1;
}
return ret;
}
long long pow_mod(long long a, long long n, long long mod){
long long ret = 1;
long long temp = a%mod;
while (n)
{
if(n&1) ret = mult_mod(ret, temp, mod);
temp = mult_mod(temp, temp, mod);
n >>=1;
}
return ret;
}
bool check(long long a,long long n, long long x, long long t){
long long ret = pow_mod(a,x,n);
long long last = ret;
for(int i=1;i<=t;i++){
ret = mult_mod(ret, ret,n);
if(ret==1&&last!=1&&last!=n-1) return true;
last = ret;
}
if(ret !=1) return true;
return false;
}
bool Miller_Rabin(long long n){
if(n<2) return false;
if(n==2) return true;
if((n&1)==0) return false;
long long x = n-1;
long long t=0;
while ((x&1)==0){
x>>=1;t++;};
srand(time(NULL));
for(int i=0;i<S;i++){
long long a = rand()%(n-1) +1;
if(check(a,n,x,t)) return false;
}
return true;
}
int main(){
int res = 0;
int ans = 0;
vector<int> bv = {
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,\
151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,\
353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,\
557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,\
751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997};
for(int i=-999;i<1000;i++){
for(auto j:bv){
int n=1;
while(Miller_Rabin(n*n+i*n+j))
{
n++;
}
if(n>res) ans = i*j;
res = max(res,n);
}
}
cout<< res<<" "<<ans<<endl;
return 0;
}