Tuesday, July 17, 2012

Project Euler Problem 25 in Java

PROBLEM


The Fibonacci sequence is defined by the recurrence relation:

Fn = Fn1 + Fn2, where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:

F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the first term to contain three digits.

What is the first term in the Fibonacci sequence to contain 1000 digits?


ANSWER

4782

JAVACODE

import java.math.BigInteger;

public class Problem25 {
public static void main(String[]args){
int term=3;
BigInteger pr=new BigInteger("1");
BigInteger in=new BigInteger("2");
for (; in.toString().length()<1000; ) {
BigInteger tm=pr;
pr=in;
in=in.add(tm);
term++;
}
System.out.println(term);
}
}

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