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HugeFibbonaciNumber.java
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import java.util.*;
import java.io.*;
import java.math.BigInteger;
public class HugeFibbonaciNumber {
static BigInteger getHugeFibbonaciNumber(long number, long m) {
BigInteger first = BigInteger.ZERO;
BigInteger second = BigInteger.ONE;
BigInteger next = BigInteger.ZERO;
BigInteger mod = BigInteger.valueOf(m);
if(number == 0){
return first;
}else if (number ==1 ){
return second;
} else{
for(int i =2; i <= number ; ++i){
next = first.add(second);
first = second;
second = next;
}
}
return next.mod(mod);
}
public static void main(String[] args) {
FastScanner scanner = new FastScanner(System.in);
System.out.println(" nth fibbonci number modulo m");
System.out.println("enter number n ");
long n = Long.parseLong(scanner.next());
System.out.println("enter number m ");
long m = Long.parseLong(scanner.next());
System.out.println( getHugeFibbonaciNumber(n, m));
}
static class FastScanner {
BufferedReader br;
StringTokenizer st;
FastScanner(InputStream stream) {
try {
br = new BufferedReader(new
InputStreamReader(stream));
} catch (Exception e) {
e.printStackTrace();
}
}
String next() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
long nextInt() {
return Long.parseLong(next());
}
}
}