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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Hofstadter-Q-sequence/Java/hofstadter-q-sequence.java Normal file
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import java.util.HashMap;
import java.util.Map;
public class HofQ {
private static Map<Integer, Integer> q = new HashMap<Integer, Integer>(){{
put(1, 1);
put(2, 1);
}};
private static int[] nUses = new int[100001];//not part of the task
public static int Q(int n){
nUses[n]++;//not part of the task
if(q.containsKey(n)){
return q.get(n);
}
int ans = Q(n - Q(n - 1)) + Q(n - Q(n - 2));
q.put(n, ans);
return ans;
}
public static void main(String[] args){
for(int i = 1; i <= 10; i++){
System.out.println("Q(" + i + ") = " + Q(i));
}
int last = 6;//value for Q(10)
int count = 0;
for(int i = 11; i <= 100000; i++){
int curr = Q(i);
if(curr < last) count++;
last = curr;
if(i == 1000) System.out.println("Q(1000) = " + curr);
}
System.out.println("Q(i) is less than Q(i-1) for i <= 100000 " + count + " times");
//Optional stuff below here
int maxUses = 0, maxN = 0;
for(int i = 1; i<nUses.length;i++){
if(nUses[i] > maxUses){
maxUses = nUses[i];
maxN = i;
}
}
System.out.println("Q(" + maxN + ") was called the most with " + maxUses + " calls");
}
}