Added fib5

05f1dab1 · nilsl99 · 4d614c78 · 05f1dab1
Commit 05f1dab1 authored 2 years ago by nilsl99
--- a/exercise05_1.ipynb
+++ b/exercise05_1.ipynb
@@ -77,12 +77,25 @@
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
+   "outputs": [],
+   "source": [
+    "answers = {0: 1, 1: 1}\n",
+    "def fib5(n):\n",
+    "    if not n in answers:\n",
+    "        answers[n] = fib5(n-1) + fib5(n-2)\n",
+    "    return answers[n]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
-      "3.06 s ± 90.7 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
+      "2.55 s ± 52.9 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
@@ -92,14 +105,14 @@
  },
  {
   "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
-      "62.2 ns ± 1.44 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)\n"
+      "57.6 ns ± 0.131 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)\n"
     ]
    }
   ],
@@ -109,14 +122,14 @@
  },
  {
   "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
-      "4.09 µs ± 193 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "3.37 µs ± 82.7 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
     ]
    }
   ],
@@ -126,20 +139,37 @@
  },
  {
   "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
-      "2.76 µs ± 74.1 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "2.2 µs ± 75.1 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit fib4(35)"
   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "103 ns ± 0.943 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)\n"
+     ]
+    }
+   ],
+   "source": [
+    "%timeit fib5(35)"
+   ]
  }
 ],
 "metadata": {
@@ -158,7 +188,7 @@
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
-   "version": "3.10.8"
+   "version": "3.10.6"
  },
  "orig_nbformat": 4
 },

 %% Cell type:markdown id: tags:

 ## OOP Homework 05
 ### Exercise 1
 Dilay Hamaykaya, Nils Liebreich

 %% Cell type:code id: tags:

 ``` python
 from functools import cache
 ```

 %% Cell type:code id: tags:

 ``` python
 def fib1(n):
    if n <= 1:
        return 1
    else:
        return fib1(n-1) + fib1(n-2)
 ```

 %% Cell type:code id: tags:

 ``` python
 @cache
 def fib2(n):
    if n <= 1:
        return 1
    else:
        return fib2(n-1) + fib2(n-2)
 ```

 %% Cell type:code id: tags:

 ``` python
 def fib3(n):
    fibonacci = [1]*(n+1)
    for i in range(2, n+1):
        fibonacci[i] = fibonacci[i-1] + fibonacci[i-2]
    return fibonacci[n]
 ```

 %% Cell type:code id: tags:

 ``` python
 def fib4(n):
    a = b = 1
    while n > 0:
        a, b = a+b, a
        n -= 1
    return b
 ```

 %% Cell type:code id: tags:

 ``` python
+answers = {0: 1, 1: 1}
+def fib5(n):
+    if not n in answers:
+        answers[n] = fib5(n-1) + fib5(n-2)
+    return answers[n]
+```
+
+%% Cell type:code id: tags:
+
+``` python
 %timeit fib1(35)
 ```

 %% Output

-    3.06 s ± 90.7 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)
+    2.55 s ± 52.9 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)

 %% Cell type:code id: tags:

 ``` python
 %timeit fib2(35)
 ```

 %% Output

-    62.2 ns ± 1.44 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)
+    57.6 ns ± 0.131 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)

 %% Cell type:code id: tags:

 ``` python
 %timeit fib3(35)
 ```

 %% Output

-    4.09 µs ± 193 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
+    3.37 µs ± 82.7 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)

 %% Cell type:code id: tags:

 ``` python
 %timeit fib4(35)
 ```

 %% Output

-    2.76 µs ± 74.1 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
+    2.2 µs ± 75.1 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
+
+%% Cell type:code id: tags:
+
+``` python
+%timeit fib5(35)
+```
+
+%% Output
+
+    103 ns ± 0.943 ns per loop (mean ± std. dev. of 7 runs, 10,000,000 loops each)