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problems/009_problem/009_problem.py

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+# #  Problem 9:
+# 
+# [Euler Project #9](https://projecteuler.net/problem=9)
+# 
+# 
+# 
+# >A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
+# a2 + b2 = c2
+# 
+# >For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
+# 
+# >There exists exactly one Pythagorean triplet for which a + b + c = 1000.
+# Find the product abc.
+# 
+# 
+# 
+# ---
+import os
+import pprint
+import time  # Typically imported for sleep function, to slow down execution in terminal.
+import typing
+import decorators  # Typically imported to compute execution duration of functions.
+import math
+import numpy
+
+def get_c(a,b):
+    c = math.sqrt(a*a+b*b)
+    return c
+
+def check_constraint(a,b,c,limit):
+    return (a+b+c)==limit
+
+exit=False
+for a in range(1,1000):
+    for b in range(a,1000):
+        c = get_c(a,b)
+        if check_constraint(a,b,c,1000):
+            #print(a,b,c)
+            #print(not_done)
+            exit=True
+            break
+    if exit:
+        break
+print(a,b,c,a+b+c,a*b*c)

problems/009_problem/009_problem_jnotebook.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#  Problem 9:\n",
+    "\n",
+    "[Euler Project #9](https://projecteuler.net/problem=9)\n",
+    "\n",
+    "\n",
+    "\n",
+    ">A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,\n",
+    "a2 + b2 = c2\n",
+    "\n",
+    ">For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.\n",
+    "\n",
+    ">There exists exactly one Pythagorean triplet for which a + b + c = 1000.\n",
+    "Find the product abc.\n",
+    "\n",
+    "\n",
+    "\n",
+    "---"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Reserved Space For Imports\n",
+    "---"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "import pprint\n",
+    "import time  # Typically imported for sleep function, to slow down execution in terminal.\n",
+    "import typing\n",
+    "import decorators  # Typically imported to compute execution duration of functions.\n",
+    "import math\n",
+    "import numpy"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Reserved Space For Method Definition\n",
+    "---"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_c(a,b):\n",
+    "    c = math.sqrt(a*a+b*b)\n",
+    "    return c"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def check_constraint(a,b,c,limit):\n",
+    "    return (a+b+c)==limit"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Brute Force!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "200 375 425.0 1000.0 31875000.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "exit=False\n",
+    "for a in range(1,1000):\n",
+    "    for b in range(a,1000):\n",
+    "        c = get_c(a,b)\n",
+    "        if check_constraint(a,b,c,1000):\n",
+    "            #print(a,b,c)\n",
+    "            #print(not_done)\n",
+    "            exit=True\n",
+    "            break\n",
+    "    if exit:\n",
+    "        break\n",
+    "print(a,b,c,a+b+c,a*b*c)\n"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}