1 files changed, 30 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxJava/sources/FibLastDigit.java b/AlgoDesignAndTechniqueEdxJava/sources/FibLastDigit.java
new file mode 100644
index 0000000..5467782
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxJava/sources/FibLastDigit.java
@@ -0,0 +1,30 @@
+import java.util.Scanner;
+
+public class FibLastDigit {
+
+	public static int lastDigitNaive(int n) {
+		if (n <= 1)
+			return n;
+		return (lastDigitNaive(n - 1) + lastDigitNaive(n - 2)) % 10;
+	}
+
+	public static int lastDigitOptimized(int n) {
+		if (n <= 1)
+			return n;
+		final int[] fibLastDigitArray = new int[n + 1];
+		fibLastDigitArray[0] = 0;
+		fibLastDigitArray[1] = 1;
+		for (int i = 2; i < n + 1; i++) {
+			fibLastDigitArray[i] = (fibLastDigitArray[i - 1] + fibLastDigitArray[i - 2]) % 10;
+		}
+		return fibLastDigitArray[n];
+	}
+
+	public static void main(String[] args) {
+		Scanner in = new Scanner(System.in);
+		int n = in.nextInt();
+
+		System.out.println(lastDigitOptimized(n));
+	}
+
+}