Largest Fibonacci Subsequence Java
PROGRAM TO FIND THE LARGEST SUBSET WHOSE ALL ELEMENTS ARE FIBONACCI NUMBERS
OUTPUT
2 8 5 1 13
import
java.util.*;
class
MAIN
{
// Prints largest subset of an array whose
// all elements are fibonacci numbers
public
static
void
findFibSubset(Integer[] x)
{
Integer max = Collections.max(Arrays.asList(x));
List<Integer> fib =
new
ArrayList<Integer>();
List<Integer> result =
new
ArrayList<Integer>();
// Generate all Fibonacci numbers
// till max and store them
Integer a =
0
;
Integer b =
1
;
while
(b < max){
Integer c = a + b;
a=b;
b=c;
fib.add(c);
}
// Now iterate through all numbers and
// quickly check for Fibonacci
for
(Integer i =
0
; i < x.length; i++){
if
(fib.contains(x[i])){
result.add(x[i]);
}
}
System.out.println(result);
}
// Driver code
public
static
void
main(String args[])
{
Integer[] a = {
4
,
2
,
8
,
5
,
20
,
1
,
40
,
13
,
23
};
findFibSubset(a);
}
}
2 8 5 1 13
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