Created
October 14, 2013 19:04
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import java.util.PriorityQueue; | |
import java.util.Random; | |
public class Main3 { | |
public class Tuple implements Comparable<Tuple> { | |
final int hash; | |
final long value; | |
public Tuple(long value, int hash) { | |
this.value = value; | |
this.hash = hash; | |
} | |
@Override | |
public boolean equals(Object tuple) { | |
if (tuple instanceof Tuple) { | |
Tuple tupleCasted = (Tuple) tuple; | |
return tupleCasted.hash == this.hash && tupleCasted.value == this.value; | |
} else { | |
return false; | |
} | |
} | |
@Override | |
public int compareTo(Tuple tuple) { | |
return tuple.hash - this.hash; | |
} | |
} | |
PriorityQueue<Tuple> queue = new PriorityQueue<Tuple>(); | |
Random random = new Random(); | |
int R = Integer.MAX_VALUE - 1; | |
int a = 1 + random.nextInt(R - 1); | |
int b = random.nextInt(R); | |
int maxMapSize; | |
Tuple newTuple; | |
public int hash(long number) { | |
return 1 + (int) (((long) a * number + b) % R); | |
} | |
public void maybeAdd(long number) { | |
newTuple = new Tuple(number, hash(number)); | |
if (queue.size() < maxMapSize) { | |
if (!queue.contains(newTuple)) { | |
queue.add(newTuple); | |
} | |
} else if (queue.peek().hash > newTuple.hash && !queue.contains(newTuple)) { | |
queue.poll(); | |
queue.add(newTuple); | |
} | |
} | |
public long algorithmD(int maxValue) { | |
queue.clear(); | |
a = 1 + random.nextInt(R - 1); | |
b = random.nextInt(R); | |
for (int i = 1; i <= maxValue; i++) { | |
long currentNumber = i; | |
maybeAdd(currentNumber); | |
while (currentNumber != 1) { | |
if ((currentNumber % 2) == 0) { | |
currentNumber = currentNumber / 2; | |
} else { | |
currentNumber = currentNumber * 3 + 1; | |
} | |
maybeAdd(currentNumber); | |
} | |
} | |
return ((long) queue.size() * R / queue.peek().hash); | |
} | |
public Main3(int maxValue, int maxMapSize) { | |
this.maxMapSize = maxMapSize; | |
int rounds = 100; | |
long[] correctReults = new long[]{ | |
22, 251, 2228, 21664, 217212, 2168611 | |
}; | |
long[] results = new long[rounds]; | |
long totalSum = 0; | |
for (int i = 0; i < rounds; i++) { | |
results[i] = algorithmD(maxValue); | |
totalSum += results[i]; | |
} | |
totalSum /= rounds; | |
double percentile = Math.abs((double) totalSum / correctReults[(int) Math.log10(maxValue) - 1]); | |
System.out.println(maxValue + " |C_N|: " + totalSum + " (" + String.format("%.2f", Math.abs(1 - percentile) * 100) + "%)"); | |
} | |
public static void main(String[] args) { | |
for (int i = 1; i <= 6; i++) { | |
new Main3((int) Math.pow(10, i), 1000); | |
} | |
} | |
} |
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