# ★★☆☆☆ 소수 찾기
# 구현코드
import java.util.HashSet;
import java.util.Set;
public class Solution {
public int solution(String numbers) {
int[] permutation = new int[numbers.length()];
for(int i = 0; i < permutation.length; i++)
permutation[i] = i;
int count = 0;
Set<Integer> set = new HashSet<>();
do{
int[] inputNumbers = new int[numbers.length()];
for(int i = 0; i < permutation.length; i++){
inputNumbers[i] = numbers.charAt(permutation[i]) - '0';
}
boolean[] checked = new boolean[numbers.length()];
count += recursiveCheckNumber(inputNumbers,checked,0,set);
}while (nextPermutation(permutation));
return count;
}
private boolean nextPermutation(int[] numbers){
int prevIndex;
int n = numbers.length;
int nextIndex = n-1;
int changeIndex = -1;
for(int i = n-2; i >= 0; i--){
prevIndex = nextIndex;
nextIndex = i;
if(numbers[nextIndex] < numbers[prevIndex]){
changeIndex = nextIndex;
break;
}
}
if(changeIndex == -1)
return false;
for(int i = n-1; i > changeIndex; i--){
if(numbers[i] > numbers[changeIndex]){
swap(numbers, i, changeIndex);
break;
}
}
while(++changeIndex < --n){
swap(numbers,changeIndex,n);
}
return true;
}
private void swap(int[] numbers, int a, int b){
int temp = numbers[a];
numbers[a] = numbers[b];
numbers[b] = temp;
}
public int recursiveCheckNumber(int[] numbers, boolean[] checked, int checkedNumber,Set<Integer> set) {
if(checkedNumber == numbers.length){
String number = "";
for(int i = 0; i < numbers.length; i++){
if(checked[i])
number = number + numbers[i];
}
if(number.equals(""))
return 0;
if(set.contains(Integer.parseInt(number)))
return 0;
set.add(Integer.parseInt(number));
if(isPrime(Integer.parseInt(number)))
return 1;
else
return 0;
}
checked[checkedNumber] = true;
int a = recursiveCheckNumber(numbers,checked,checkedNumber+1,set);
checked[checkedNumber] = false;
int b = recursiveCheckNumber(numbers,checked,checkedNumber+1,set);
return a + b;
}
public boolean isPrime(int number){
if(number == 1 || number == 0)
return false;
for(int i = 2; i*i <= number; i++){
if(number % i == 0)
return false;
}
return true;
}
}
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