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package g2701_2800.s2761_prime_pairs_with_target_sum;
// #Medium #Array #Math #Enumeration #Number_Theory
// #2023_09_25_Time_57_ms_(99.24%)_Space_56.4_MB_(10.58%)
import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;
public class Solution {
private static final HashSet PRIMES = new HashSet<>();
private static final List LIST = new ArrayList<>();
public List> findPrimePairs(int n) {
List> answer = new ArrayList<>();
for (int a : LIST) {
int other = n - a;
if (other < n / 2 || a > n / 2) {
break;
}
if (PRIMES.contains(other)) {
answer.add(List.of(a, other));
}
}
return answer;
}
static {
int m = 1000001;
boolean[] visited = new boolean[m];
for (int i = 2; i < m; i++) {
if (!visited[i]) {
PRIMES.add(i);
LIST.add(i);
int j = i;
while (j < m) {
visited[j] = true;
j += i;
}
}
}
}
}
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