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@chermehdi
Created September 16, 2016 19:12
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Spoj Distinct Primes Problem
package com.algorithms;
/**
* @Author Mehdi Maick
* Created on 16/09/2016.
*/
import java.time.LocalDate;
import java.util.*;
import java.io.*;
public class DistinctPrimes {
public static void solve(FastReader fs, PrintWriter pw) {
int t = fs.nextInt();
while (t-- > 0) {
int n = fs.nextInt();
int i = 0;
long first = 30L;
while (i < n) {
Set<Long> prim = PrimeFactors(first);
if (prim.size() >= 3)
i++;
if (i < n)
first++;
}
pw.println(first);
}
}
public static Long factor(long n) {
long a;
if (n % 2 == 0)
return 2L;
for (a = 3; a * a <= n; a += 2) {
if (n % a == 0)
return a;
}
return n;
}
public static Set<Long> PrimeFactors(long n) {
long r;
Set<Long> ret = new HashSet<>();
while (n > 1) {
r = factor(n);
ret.add(r);
n /= r;
if (ret.size() >= 3)
break;
}
return ret;
}
public static void main(String[] args) throws Exception {
FastReader fs = new FastReader(System.in);
PrintWriter pw = new PrintWriter(new OutputStreamWriter(System.out));
solve(fs, pw);
fs.close();
pw.close();
}
static class FastReader {
BufferedReader reader;
StringTokenizer st;
FastReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream));
st = null;
}
String next() {
while (st == null || !st.hasMoreTokens()) {
try {
String line = reader.readLine();
if (line == null) {
return null;
}
st = new StringTokenizer(line);
} catch (Exception e) {
throw new RuntimeException();
}
}
return st.nextToken();
}
String nextLine() {
String s = null;
try {
s = reader.readLine();
} catch (IOException e) {
e.printStackTrace();
}
return s;
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
char nextChar() {
return next().charAt(0);
}
int[] nextIntArray(int n) {
int[] arr = new int[n];
int i = 0;
while (i < n) {
arr[i++] = nextInt();
}
return arr;
}
long[] nextLongArray(int n) {
long[] arr = new long[n];
int i = 0;
while (i < n) {
arr[i++] = nextLong();
}
return arr;
}
int[] nextIntArrayOneBased(int n) {
int[] arr = new int[n + 1];
int i = 1;
while (i <= n) {
arr[i++] = nextInt();
}
return arr;
}
long[] nextLongArrayOneBased(int n) {
long[] arr = new long[n + 1];
int i = 1;
while (i <= n) {
arr[i++] = nextLong();
}
return arr;
}
void close() {
try {
reader.close();
} catch (IOException e) {
System.err.println("There's been an error trying closing the reader ");
e.printStackTrace();
}
}
}
}
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