From 6aaa663688bafd6626ea63243a77e9754b799c10 Mon Sep 17 00:00:00 2001
From: Lee Southerst <lee.southerst@gmail.com>
Date: Thu, 28 Sep 2017 12:59:16 -0400
Subject: [PATCH 1/2] Added bottom up DP implementation of Fibonacci

---
 Algorithms/dynamic_programming/fibonacci.js | 14 ++++++++++++++
 1 file changed, 14 insertions(+)
 create mode 100644 Algorithms/dynamic_programming/fibonacci.js

diff --git a/Algorithms/dynamic_programming/fibonacci.js b/Algorithms/dynamic_programming/fibonacci.js
new file mode 100644
index 000000000..0595afead
--- /dev/null
+++ b/Algorithms/dynamic_programming/fibonacci.js
@@ -0,0 +1,14 @@
+
+function fib(n) {
+    var table = [];
+    table.push(1);
+    table.push(1);
+    for (var i = 2; i < n; ++i) {
+        table.push(table[i - 1] + table[i - 2]);
+    }
+    console.log("The %dth fibonacci number is %d", n, table[n - 1]);
+}
+
+fib(200);
+fib(5);
+fib(10);

From ac34d5d147883c2af553ebc92bf27b0c171492b5 Mon Sep 17 00:00:00 2001
From: Lee Southerst <lee.southerst@gmail.com>
Date: Wed, 25 Oct 2017 10:30:43 -0400
Subject: [PATCH 2/2] Add comments

---
 Algorithms/dynamic_programming/fibonacci.js | 13 ++++++++++++-
 1 file changed, 12 insertions(+), 1 deletion(-)

diff --git a/Algorithms/dynamic_programming/fibonacci.js b/Algorithms/dynamic_programming/fibonacci.js
index 0595afead..273d9aac5 100644
--- a/Algorithms/dynamic_programming/fibonacci.js
+++ b/Algorithms/dynamic_programming/fibonacci.js
@@ -1,3 +1,12 @@
+// Calculates fib(n) such that fib(n) = fib(n - 1) + fib(n - 2)
+// fib(0) = fib(1) = 1
+// Uses a bottom up dynamic programming approach
+// Solve each subproblem once, using results of previous subproblems,
+// which are n-1 and n-2 for Fibonacci numbers
+
+// Although this algorithm is linear in space and time as a function
+// of the input value n, it is exponential in the size of n as
+// a function of the number of input bits
 
 function fib(n) {
     var table = [];
@@ -6,9 +15,11 @@ function fib(n) {
     for (var i = 2; i < n; ++i) {
         table.push(table[i - 1] + table[i - 2]);
     }
-    console.log("The %dth fibonacci number is %d", n, table[n - 1]);
+    console.log("Fibonacci #%d = %d", n, table[n - 1]);
 }
 
+fib(1);
+fib(2);
 fib(200);
 fib(5);
 fib(10);