uva 100. 3n+1 Problem
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import java.util.*; | |
import java.io.*; | |
class Main { | |
public static void main(String[] args) throws Exception{ | |
Scanner in = new Scanner(System.in); | |
PrintWriter out = new PrintWriter(System.out, true); | |
while(in.hasNextInt()){ | |
int i = in.nextInt(); | |
int j = in.nextInt(); | |
int from = Math.min(i, j); | |
int to = Math.max(i, j); | |
int max = 0; | |
for (int ii = from;ii<=to;ii++){ | |
max = Math.max(max, computeCycleLength(ii)); | |
} | |
out.printf("%d %d %d\n", i, j, max); | |
} | |
} | |
private static int computeCycleLength(long n) { | |
if (n==1) | |
return 1; | |
if (n<_MaxValue && memo[(int)n] != 0) | |
return memo[(int)n]; | |
// computing length of collatz cycle | |
int len = 1 + computeCycleLength(nextCollatz(n)); | |
// storing it in cache | |
if (n<_MaxValue) | |
memo[(int)n] = len; | |
return len; | |
} | |
private static int _MaxValue = 1000000; | |
public static int[] memo = new int[_MaxValue]; | |
public static long nextCollatz(long n){ | |
if (n%2==0) | |
return n/2; | |
else | |
return n*3+1; | |
} | |
} |
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