Hat's Fibonacci
Time Limit: 2000/1000 MS (Java/Others)??? Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5590??? Accepted Submission(s): 1866
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Problem Description
A 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 Fibonacci number.
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Input
Each line will contain an integers. Process to end of file.
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Output
For each case, output the result in a line.
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Sample Input
100
Sample Output
4203968145672990846840663646
Note:
No generated Fibonacci number in excess of 2005 digits will be in the test data, ie. F(20) = 66526 has 5 digits.
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import java.math.BigInteger;
import java.util.Scanner;
public class Main{
/*
* n<7040
*/
public static void main(String[] args) {
Scanner input=new Scanner(System.in);
//F f[]=new F[10000000];7040
BigInteger f[]=new BigInteger[8];
while(input.hasNext()){
f[1]=BigInteger.valueOf(1);
f[2]=BigInteger.valueOf(1);
f[3]=BigInteger.valueOf(1);
f[4]=BigInteger.valueOf(1);
int n=input.nextInt();
if(n<=4){
System.out.println(f[n]);
}
else {
for(int i=5;i<=n;i++)
{
f[5]=f[1].add(f[2].add(f[3].add(f[4])));
f[1]=f[2];
f[2]=f[3];
f[3]=f[4];
f[4]=f[5];
}
System.out.println(f[5].toString());
}
}
}
}
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