Hat's Fibonacci
Time Limit: 2000/1000 MS (Java/others) memory limit: 65536/32768 K (Java/Others)
Total submission (s): 6925 accepted submission (s): 2279
Problem descriptiona Fibonacci sequence is calculated by adding the previous two members the sequence, with the first two members being both 1.
F (1) = 1, F (2) = 1, F (3) = 1, F (4) = 1, F (n> 4) = f (n-1) + f (n-2) + f (n-3) + f (n-4)
Your task is to take a number as input, and print that maid number.
Inputeach line will contain an integers. process to end of file.
Outputfor each case, output the result in a line.
Sample Input
100
Sample output
4203968145672990846840663646Note:No generated Fibonacci number in excess of 2005 digits will be in the test data, ie. F(20) = 66526 has 5 digits.
import java.math.BigInteger; import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner cin = new Scanner((System.in)); int n; BigInteger[] f = new BigInteger[10000]; f[1] = BigInteger.ONE; f[2] = BigInteger.ONE; f[3] = BigInteger.ONE; f[4] = BigInteger.ONE; for(int i=5; i<f.length;i++) f[i] = f[i-1].add(f[i-2].add(f[i-3].add(f[i-4]))); while(cin.hasNext()){ n = cin.nextInt(); System.out.println(f[n]); } } }