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TusharKesarwaniTusharKesarwani
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Merge pull request #1076 from dhruvmillu/rsa-solver
Added Rsa solver
2 parents 2b85a9c + 22442a4 commit 2775250

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‎Projects/RSA SOLVER/README.md‎

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# RSA SOLVER
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This website aims to solve RSA encryption problems.
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## ALGORITHM
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1. First we take 2 prime numbers, p and q, and calculate their product n = p * q.
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2. Then we calculate the totient of n, which is (p-1) * (q-1).
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3. We then take a number e, which is coprime to the totient of n.
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4. We then calculate the modular multiplicative inverse of e and the totient of n, which is d. or e * d = 1 mod totient(n)
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5. We then take the message, m, and encrypt it using the public key (e, n) to get the ciphertext, c. or c = m^e mod n
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6. We then decrypt the ciphertext, c, using the private key (d, n) to get the message, m. or m = c^d mod n
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## ALGORITHM
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1. First we take 2 prime numbers, p and q, and calculate their product n = p * q.
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2. Then we calculate the totient of n, which is (p-1) * (q-1).
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3. We then take a number e, which is coprime to the totient of n.
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4. We then calculate the modular multiplicative inverse of e and the totient of n, which is d. or e * d = 1 mod totient(n)
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5. We then take the message, m, and encrypt it using the public key (e, n) to get the ciphertext, c. or c = m^e mod n
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6. We then decrypt the ciphertext, c, using the private key (d, n) to get the message, m. or m = c^d mod n
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## Features
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- [x] RSA Encryption
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- [x] RSA Decryption
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- [x] RSA Key Generation
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## Screenshots
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- ### Key genration
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![image](https://github.com/dhruvmillu/Front-End-Projects/assets/75222710/ec82809a-411d-49dd-9373-a880a8937382)
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- ### Encryption
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![image](https://github.com/dhruvmillu/Front-End-Projects/assets/75222710/4039b347-18f5-4153-824e-2bbe47371ad9)
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- ### Decryption
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![image](https://github.com/dhruvmillu/Front-End-Projects/assets/75222710/33fc25e9-b92b-48d0-9db6-26a65b45486e)
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‎Projects/RSA SOLVER/index.html‎

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<!DOCTYPE html>
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<!--[if lt IE 7]> <html class="no-js lt-ie9 lt-ie8 lt-ie7"> <![endif]-->
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<!--[if IE 7]> <html class="no-js lt-ie9 lt-ie8"> <![endif]-->
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<!--[if IE 8]> <html class="no-js lt-ie9"> <![endif]-->
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<!--[if gt IE 8]> <html class="no-js"> <![endif]-->
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<html>
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<head>
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<meta charset="utf-8"/>
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<meta http-equiv="X-UA-Compatible" content="IE=edge"/>
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<title></title>
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<meta name="description" content=""/>
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<meta name="viewport" content="width=device-width, initial-scale=1"/>
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<link rel="stylesheet" href="style.css"/>
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</head>
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<body>
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<div>
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<h1 class="title">RSA SOLVER</h1>
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</div>
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<div class="container">
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<h2 class="title">Enter your values</h2>
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<div class="innerContainer">
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<div style="margin-bottom:100px;margin-top:40px;">
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<p class='label-text'>enter 2 prime numbers</p>
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<p class='label-text'>p = </p>
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<input type="number" id="p" name="p" placeholder="p"/>
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<p class='label-text'>q = </p>
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<input type="number" id="q" name="q" placeholder="q"/>
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<button id="genBtn">Generate Keys</button>
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</div>
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<div>
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<p class='label-text'>public key = </p>
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<input type="text" id="e" name="e" placeholder="e" disabled/>
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<p class='label-text'>private key = </p>
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<input type="text" id="d" name="d" placeholder="d" disabled/>
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</div>
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</div>
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</div>
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<div class="container">
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<h3>
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Choose your operation
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</h3>
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<div>
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<select id="op" name="op" placeholder="Operation">
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<option value="encrypt">Encrypt</option>
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<option value="decrypt">Decrypt</option>
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</select>
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</div>
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<div class="container">
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<h2 class="title" id="opTitle">Encrypt</h2>
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<div class="innerContainer">
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<div>
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<p class='label-text'>enter message</p>
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<input type="number" name="plain-text" id="input"/>
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<button type="button" id="opBtn">Encrypt</button>
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</div><div>
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<p class='label-text' id="result">Cipher text = </p>
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<input type="number" name="cipher-text" id="output" disabled/>
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</div>
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</div>
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</div>
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<script src="script.js" async defer></script>
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</body>
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</html>

‎Projects/RSA SOLVER/script.js‎

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// variables
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var pInput = document.getElementById("p");
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var qInput = document.getElementById("q");
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var eInput = document.getElementById("e");
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var dInput = document.getElementById("d");
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var pTextInput = document.getElementById("input");
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var cTextInput = document.getElementById("output");
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var genBtn = document.getElementById("genBtn");
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var op = document.getElementById("op");
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var opBtn = document.getElementById("opBtn");
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var p = 0;
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var q = 0;
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var n = 0;
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var phi = 0;
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var e = 0;
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var d = 0;
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var isEncryption = true;
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//setters
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function setP(val) {
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p = val;
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}
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function setQ(val) {
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q = val;
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}
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function setN(val) {
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n = val;
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}
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function setPhi(val) {
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phi = val;
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}
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function setE(val) {
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e = val;
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}
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function setD(val) {
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d = val;
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}
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//event listeners
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genBtn.addEventListener("click", function () {
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p = parseInt(pInput.value);
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q = parseInt(qInput.value);
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generateKeys();
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eInput.value = "("+e+","+n+")";
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dInput.value = "("+d+","+n+")";
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});
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op.addEventListener("click", function (event) {
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if(event.target.value == "encrypt"){
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isEncryption = true;
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document.getElementById("opTitle").innerHTML = "Encrypt";
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opBtn.innerHTML = "Encrypt";
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document.getElementById("result").innerHTML = "Cipher text = ";
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}else{
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isEncryption = false;
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document.getElementById("opTitle").innerHTML = "Decrypt";
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opBtn.innerHTML = "Decrypt";
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document.getElementById("result").innerHTML = "Plain text = ";
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}
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});
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opBtn.addEventListener("click", function () {
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if(isEncryption){
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encrypt();
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}else{
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decrypt();
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}
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});
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//checkprime - function to check if a number is prime
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function checkprime(n) {
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if (n === 2) {
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return true;
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} else if (n % 2 === 0 || n === 1 || n === 0) {
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return false;
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} else {
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for (let i = 3; i <= Math.sqrt(n); i += 2) {
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if (n % i === 0) {
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return false;
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}
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}
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return true;
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}
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}
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//gcd - function to find gcd of two numbers
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function gcd(a, b) {
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if (b === 0) {
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return a;
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} else {
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return gcd(b, a % b);
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}
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}
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// generateKeys - function to generate keys using p and q
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function generateKeys() {
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if (p && q) {
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if (checkprime(p) && checkprime(q)) {
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let nz = p * q; // n = p*q
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let phiz = (p - 1) * (q - 1); // phi = (p-1)*(q-1)
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setN(nz);
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setPhi((p - 1) * (q - 1));
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let ez = 2; // e = 2
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while (ez < phiz) {
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if (gcd(ez, phiz) === 1) {
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// e and phi must be coprime
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break;
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} else {
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ez++;
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}
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}
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setE(ez);
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let dz = 1;
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while (dz < phiz) {
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if ((ez * dz) % phiz === 1) {
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// d = (1/e)mod(phi)
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break;
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} else {
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dz++;
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}
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}
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setD(dz);
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console.log("p: " + p);
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console.log("q: " + q);
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console.log("n: " + n);
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console.log("phi: " + phi);
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console.log("e: " + e);
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console.log("d: " + d);
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} else {
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alert("p and q must be prime");
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}
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} else {
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alert("p and q cannot be empty");
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}
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}
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//binarymod - function to calculate (b^e)mod(m)
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function binarymod(b, e, m) {
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let r = 1;
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b = b % m;
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while (e > 0) {
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if (e % 2 == 1) {
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r = (r * b) % m;
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}
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e = Math.floor(e / 2);
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b = (b * b) % m;
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}
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return r;
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}
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function encrypt() {
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console.log("encrypt")
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let m = parseInt(pTextInput.value);
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let c = binarymod(m, e, n);
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cTextInput.value = c;
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}
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function decrypt() {
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let c = parseInt(pTextInput.value);
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let m = binarymod(c, d, n);
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console.log(c,m)
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cTextInput.value = m;
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}

‎Projects/RSA SOLVER/style.css‎

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@import url('https://fonts.googleapis.com/css2?family=Orbitron:wght@400;500;600;700;800;900&display=swap');
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:root {
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margin: 0 auto;
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font-family: 'Orbitron';
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padding:79px;
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color:white;
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}
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body{
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background-color: #1b1b1b;
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}
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.container{
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display: flex;
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flex-direction: column;
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align-items: center;
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}
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.title{
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font-size:39px;
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line-height: 49px;
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margin-bottom: 30px;
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}
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.innerContainer{
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display:flex;
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flex-direction:column ;
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justify-content: center;
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align-items: center;
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background-color: #3b3b3b;
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padding:1.75rem;
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border-radius: 23px;
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font-size: 28px;
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}
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input{
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background-color: #1c1c1c;
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max-width: 150px;
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border: none;
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padding: 1.25rem 0.75rem;
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border-radius: 9px;
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outline: none;
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margin-right: 20px;
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font-size: 28px;
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color:white;
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}
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input[type="text"]{
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max-width: 300px;
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margin-right: 0px;
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}
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.label-text{
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display: inline-block;
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margin-left:30px;
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margin-right:20px ;
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}
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button {
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border-radius: 8px;
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border: 1px solid transparent;
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padding: 0.6em 1.2em;
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font-size: 1em;
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font-weight: 500;
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font-family: inherit;
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background-color: #1a1a1a;
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cursor: pointer;
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transition: border-color 0.25s;
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color:white;
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}
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button:hover {
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border-color: #646cff;
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}
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button:focus,
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button:focus-visible {
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outline: 4px auto -webkit-focus-ring-color;
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}
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