1 files changed, 29 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxPython/sources/fiblastdigit.py b/AlgoDesignAndTechniqueEdxPython/sources/fiblastdigit.py
new file mode 100644
index 0000000..cca9cd9
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/sources/fiblastdigit.py
@@ -0,0 +1,29 @@
+# Uses python3
+import sys
+def getFibLastDigitNaive(n):
+    if n <= 1:
+        return n
+ 
+    previous = 0
+    current  = 1
+ 
+    for _ in range(n - 1):
+        previous, current = current, previous + current
+ 
+    return current % 10
+
+
+def getFibLastDigitOptimized(n):
+    if (n <= 1):
+        return n
+    fibLst = [None] * (n+1)
+    fibLst[0] = 0
+    fibLst[1] = 1
+    for i in range(2, n+1):
+        fibLst[i] = (fibLst[i-1] + fibLst[i-2]) % 10
+    return fibLst[n]
+
+if __name__ == '__main__':
+    input = sys.stdin.read()
+    n = int(input)
+    print(getFibLastDigitOptimized(n))