north_west_corner.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def north_west_corner(supply, demand):\n",
    "    supply_copy = supply.copy()\n",
    "    demand_copy = demand.copy()\n",
    "    i = 0\n",
    "    j = 0\n",
    "    bfs = []\n",
    "    while len(bfs) < len(supply) + len(demand) - 1:\n",
    "        s = supply_copy[i]\n",
    "        d = demand_copy[j]\n",
    "        v = min(s, d)\n",
    "        supply_copy[i] -= v\n",
    "        demand_copy[j] -= v\n",
    "        bfs.append(((i, j), v))\n",
    "        if supply_copy[i] == 0 and i < len(supply) - 1:\n",
    "            i += 1\n",
    "        elif demand_copy[j] == 0 and j < len(demand) - 1:\n",
    "            j += 1\n",
    "    return bfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[((0, 0), 30), ((1, 0), 10), ((1, 1), 30), ((1, 2), 30), ((2, 2), 10), ((2, 3), 40)]\n"
     ]
    }
   ],
   "source": [
    "supply = [30, 70, 50]\n",
    "demand = [40, 30, 40, 40]\n",
    "bfs = north_west_corner(supply, demand)\n",
    "print(bfs)"
   ]
  }
 ],
 "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": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}