MVP with just an ordering, but no quantitative estimates

.gitignore

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+# See https://help.github.com/articles/ignoring-files/ for more about ignoring files.
+
+# dependencies
+/node_modules
+/.pnp
+.pnp.js
+
+# testing
+/coverage
+
+# next.js
+/.next/
+/out/
+
+# production
+/build
+
+# misc
+.DS_Store
+*.pem
+
+# debug
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
+
+# local env files
+.env.local
+.env.development.local
+.env.test.local
+.env.production.local
+
+# vercel
+.vercel

README.md

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+# Next.js + Tailwind CSS Example
+
+This example shows how to use [Tailwind CSS](https://tailwindcss.com/) (v2.1) with Next.js. It follows the steps outlined in the official [Tailwind docs](https://tailwindcss.com/docs/guides/nextjs).
+
+It uses the new [`Just-in-Time Mode`](https://tailwindcss.com/docs/just-in-time-mode) for Tailwind CSS.
+
+## Deploy your own
+
+Deploy the example using [Vercel](https://vercel.com?utm_source=github&utm_medium=readme&utm_campaign=next-example):
+
+[![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/git/external?repository-url=https://github.com/vercel/next.js/tree/canary/examples/with-tailwindcss&project-name=with-tailwindcss&repository-name=with-tailwindcss)
+
+## How to use
+
+Execute [`create-next-app`](https://github.com/vercel/next.js/tree/canary/packages/create-next-app) with [npm](https://docs.npmjs.com/cli/init) or [Yarn](https://yarnpkg.com/lang/en/docs/cli/create/) to bootstrap the example:
+
+```bash
+npx create-next-app --example with-tailwindcss with-tailwindcss-app
+# or
+yarn create next-app --example with-tailwindcss with-tailwindcss-app
+```
+
+Deploy it to the cloud with [Vercel](https://vercel.com/new?utm_source=github&utm_medium=readme&utm_campaign=next-example) ([Documentation](https://nextjs.org/docs/deployment)).

package.json

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+{
+  "name": "with-tailwindcss",
+  "version": "0.1.0",
+  "private": true,
+  "scripts": {
+    "dev": "next dev",
+    "build": "next build",
+    "start": "next start"
+  },
+  "dependencies": {
+    "next": "latest",
+    "react": "^17.0.1",
+    "react-dom": "^17.0.1"
+  },
+  "devDependencies": {
+    "autoprefixer": "^10.0.4",
+    "postcss": "^8.1.10",
+    "tailwindcss": "^2.1.1"
+  }
+}

pages/_app.js

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+import 'tailwindcss/tailwind.css'
+
+function MyApp({ Component, pageProps }) {
+  return <Component {...pageProps} />
+}
+
+export default MyApp

pages/api/hello.js

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+// Next.js API route support: https://nextjs.org/docs/api-routes/introduction
+
+export default function helloAPI(req, res) {
+  res.status(200).json({ name: 'John Doe' })
+}

pages/index.js

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+import Head from 'next/head'
+import React, { useState } from "react";
+
+// Utilities
+Array.prototype.containsArray = function(val) {
+  var hash = {};
+  for(var i=0; i<this.length; i++) {
+      hash[this[i]] = i;
+  }
+  return hash.hasOwnProperty(val);
+}
+
+let checkIfListIsOrdered = (arr, comparisons) => {
+  let l = arr.length
+  let isOrdered = true
+  for(let i=0; i<l-1; i++){
+    isOrdered = isOrdered && comparisons.containsArray([arr[i], arr[i+1]])
+  }
+  return isOrdered
+}
+
+// Main
+export default function Home() {
+  // State
+  let list = [1,2,3,4,5,6,7,8,9,10]
+  let initialComparisonPair = [9,10]
+  const [toComparePair, setToComparePair] = useState(initialComparisonPair)
+  const [comparisons, updateComparisons] = useState([])
+  const [isListOrdered, setIsListOrdered]  = useState(false)
+  const [orderedList, setOrderedList] = useState(null)
+
+  // Manipulations
+  let compareTwoElements = (newComparisons, element1, element2) => {
+    let element1Greater = newComparisons.containsArray([element1, element2])
+    let element2Greater = newComparisons.containsArray([element2, element1])
+    if(element1Greater || element2Greater){
+      return element1Greater && !element2Greater
+    } else{
+      setToComparePair([element1, element2])
+      console.log(`No comparison found between ${element1} and ${element2}`)
+      console.log(`Comparisons:`)
+      console.log(JSON.stringify(newComparisons, null, 4));
+      return "No comparison found"
+    }
+  }
+
+  function merge(newComparisons, left, right) {
+    let sortedArr = []; // the sorted elements will go here
+  
+    while (left.length && right.length) {
+      // insert the biggest element to the sortedArr
+      let comparison = compareTwoElements(newComparisons, left[0], right[0])
+      if(comparison ==  "No comparison found"){
+        return "No comparison found; unable to proceed"
+      }
+      else if (comparison) { // left[0] > right[0]
+        sortedArr.push(left.shift());
+      } else {
+        sortedArr.push(right.shift());
+      }
+    }
+  
+    // use spread operator and create a new array, combining the three arrays
+    return [...sortedArr, ...left, ...right]; // if they don't have the same size, the remaining ones will be greater than the ones before
+  }
+  
+  function mergeSort(arr, newComparisons) {
+    if(arr ==  "No comparison found; unable to proceed"){
+      return  "No comparison found; unable to proceed"
+    }
+    const half = arr.length / 2;
+  
+    // the base case is array length <=1
+    if (arr.length <= 1) {
+      return arr;
+    }
+  
+    const left = arr.splice(0, half); // the first half of the array
+    const right = arr;
+    let orderedFirstHalf = mergeSort(left, newComparisons)
+    let orderedSecondHalf = mergeSort(right, newComparisons)
+    if(orderedFirstHalf != "No comparison found; unable to proceed" && orderedSecondHalf != "No comparison found; unable to proceed"){
+      let result = merge(newComparisons, orderedFirstHalf, orderedSecondHalf);
+      return result
+    }else{
+      return  "No comparison found; unable to proceed"
+    }
+
+  }
+
+  let nextStep = (comparisons, element1, element2) => {
+    console.log("Comparisons: ")
+    console.log(JSON.stringify(comparisons, null, 4));
+    let newComparison = [element1, element2] // [element1, element2]
+    let newComparisons = [...comparisons, newComparison]
+    console.log("New comparisons: ")
+    console.log(JSON.stringify(newComparisons, null, 4));
+    updateComparisons(newComparisons)  
+    let result = mergeSort(list, newComparisons)
+    console.log(result)
+    console.log(toComparePair)
+    if(result !=  "No comparison found; unable to proceed" && checkIfListIsOrdered(result, newComparisons)){
+      alert("Order complete")
+      console.log(result)
+      setIsListOrdered(true)
+      setOrderedList(result)
+    }
+  }
+
+  // Html
+  return (
+    <div className="flex flex-col items-center justify-center min-h-screen py-2">
+      <Head>
+        <title>Welcome to Hot Or Not</title>
+        <link rel="icon" href="/favicon.ico" />
+      </Head>
+
+      <main className="flex flex-col items-center justify-center w-full flex-1 px-20 text-center">
+        <h1 className="text-6xl font-bold">
+          Hot or not?
+        </h1>
+
+        <div className={`flex flex-wrap items-center max-w-4xl mt-6 sm:w-full mt-20 ${isListOrdered? "hidden" : ""}`}>
+            <button 
+              className="flex m-auto border-gray-300 border-4 h-64 w-64"
+              onClick={() => nextStep(comparisons, toComparePair[0], toComparePair[1])}
+            >
+              <p className="block m-auto text-center">{toComparePair[0]}</p>
+            </button>
+            <button 
+              className="flex m-auto border-gray-300 border-4 h-64 w-64"
+              onClick={() => nextStep(comparisons, toComparePair[1], toComparePair[0])}
+            >
+              <p className="block m-auto text-center">{toComparePair[1]}</p>
+            </button>
+        </div>
+        <div className={`mt-10 ${isListOrdered? "": "hidden" }`}>
+          <p>{`Ordered list: ${JSON.stringify(orderedList, null, 4)}`}</p> 
+          <p>{`Comparisons: ${JSON.stringify(comparisons, null, 4)}`}</p> 
+        </div>
+        
+      </main>
+
+    </div>
+  )
+}

postcss.config.js

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+// If you want to use other PostCSS plugins, see the following:
+// https://tailwindcss.com/docs/using-with-preprocessors
+module.exports = {
+  plugins: {
+    tailwindcss: {},
+    autoprefixer: {},
+  },
+}

public/vercel.svg

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+<svg width="283" height="64" viewBox="0 0 283 64" fill="none" 
+    xmlns="http://www.w3.org/2000/svg">
+    <path d="M141.04 16c-11.04 0-19 7.2-19 18s8.96 18 20 18c6.67 0 12.55-2.64 16.19-7.09l-7.65-4.42c-2.02 2.21-5.09 3.5-8.54 3.5-4.79 0-8.86-2.5-10.37-6.5h28.02c.22-1.12.35-2.28.35-3.5 0-10.79-7.96-17.99-19-17.99zm-9.46 14.5c1.25-3.99 4.67-6.5 9.45-6.5 4.79 0 8.21 2.51 9.45 6.5h-18.9zM248.72 16c-11.04 0-19 7.2-19 18s8.96 18 20 18c6.67 0 12.55-2.64 16.19-7.09l-7.65-4.42c-2.02 2.21-5.09 3.5-8.54 3.5-4.79 0-8.86-2.5-10.37-6.5h28.02c.22-1.12.35-2.28.35-3.5 0-10.79-7.96-17.99-19-17.99zm-9.45 14.5c1.25-3.99 4.67-6.5 9.45-6.5 4.79 0 8.21 2.51 9.45 6.5h-18.9zM200.24 34c0 6 3.92 10 10 10 4.12 0 7.21-1.87 8.8-4.92l7.68 4.43c-3.18 5.3-9.14 8.49-16.48 8.49-11.05 0-19-7.2-19-18s7.96-18 19-18c7.34 0 13.29 3.19 16.48 8.49l-7.68 4.43c-1.59-3.05-4.68-4.92-8.8-4.92-6.07 0-10 4-10 10zm82.48-29v46h-9V5h9zM36.95 0L73.9 64H0L36.95 0zm92.38 5l-27.71 48L73.91 5H84.3l17.32 30 17.32-30h10.39zm58.91 12v9.69c-1-.29-2.06-.49-3.2-.49-5.81 0-10 4-10 10V51h-9V17h9v9.2c0-5.08 5.91-9.2 13.2-9.2z" fill="#000"/>
+</svg>

tailwind.config.js

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+module.exports = {
+  mode: 'jit',
+  purge: ['./pages/**/*.{js,ts,jsx,tsx}', './components/**/*.{js,ts,jsx,tsx}'],
+  darkMode: false, // or 'media' or 'class'
+  theme: {
+    extend: {},
+  },
+  variants: {
+    extend: {},
+  },
+  plugins: [],
+}