Created
May 3, 2015 18:04
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not fast enough
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import java.math.BigInteger; | |
import java.util.Random; | |
class Solution { | |
private static final Random rnd = new Random(); | |
public static boolean miller_rabin(BigInteger n) { | |
for (int repeat = 0; repeat < 20; repeat++) { | |
BigInteger a; | |
do { | |
a = new BigInteger(n.bitLength(), rnd); | |
} while (a.equals(BigInteger.ZERO)); | |
if (!miller_rabin_pass(a, n)) { | |
return false; | |
} | |
} | |
return true; | |
} | |
private static boolean miller_rabin_pass(BigInteger a, BigInteger n) { | |
BigInteger n_minus_one = n.subtract(BigInteger.ONE); | |
BigInteger d = n_minus_one; | |
int s = d.getLowestSetBit(); | |
d = d.shiftRight(s); | |
BigInteger a_to_power = a.modPow(d, n); | |
if (a_to_power.equals(BigInteger.ONE)) return true; | |
for (int i = 0; i < s-1; i++) { | |
if (a_to_power.equals(n_minus_one)) return true; | |
a_to_power = a_to_power.multiply(a_to_power).mod(n); | |
} | |
if (a_to_power.equals(n_minus_one)) return true; | |
return false; | |
} | |
public int solution(int N) { | |
// write your code in Java SE 8 | |
if(miller_rabin(new BigInteger(String.valueOf(N)))){ | |
return 2*(N+1); | |
} | |
int width=0; | |
int minPer=Integer.MAX_VALUE; | |
for(int length=1;length<=N;length++){ | |
if(N%length==0){ | |
width=N/length; | |
minPer=Math.min(minPer,2*(length+width)); | |
} | |
} | |
return minPer; | |
} | |
} |
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