From 698701329064518725c959eece4cb4ac93665ce9 Mon Sep 17 00:00:00 2001
From: ikselven <ikselven@users.noreply.github.com>
Date: Fri, 17 Mar 2017 08:35:24 +0100
Subject: [PATCH] ikselven's solution for Project Euler problem 37 and 87

---
 2017-03-07/ikselven_euler37.js | 69 ++++++++++++++++++++++++++++++++++
 2017-03-14/ikselven_euler87.js | 46 +++++++++++++++++++++++
 2 files changed, 115 insertions(+)
 create mode 100755 2017-03-07/ikselven_euler37.js
 create mode 100755 2017-03-14/ikselven_euler87.js

diff --git a/2017-03-07/ikselven_euler37.js b/2017-03-07/ikselven_euler37.js
new file mode 100755
index 0000000..aadd245
--- /dev/null
+++ b/2017-03-07/ikselven_euler37.js
@@ -0,0 +1,69 @@
+#!/usr/bin/js24
+
+function isPrime(num) {
+    if (num === 3) {
+        return true;
+    }
+    
+    if (num % 2 === 0) {
+        return false;
+    }
+
+    for (let i = 3; i <= Math.sqrt(num); i++) {
+        if (num % i === 0) {
+            return false;
+        }
+    }
+    return true;
+}
+
+function findNextPrime(num) {
+    while(!isPrime(++num)) {
+    }
+    return num;
+}
+
+function rightTruncatable(num, pset) {
+    while (num > 9) {
+        num = Math.floor(num/10);
+        if (!pset.has(num)){
+            return false;
+        }
+    }
+    return true;
+}
+
+function leftTruncatable(num, pset) {
+    while (num > 9) {
+        exp = Math.pow(10, Math.floor(Math.log(num) / Math.log(10)));
+        num -= Math.floor(num / exp) * exp;
+        if (!pset.has(num)) {
+            return false;
+        }
+    }
+    return true;
+}
+
+let num = 7;
+let pset = new Set([2,3,5,7]);
+let tset = new Set();
+
+while(tset.size < 11) {
+    num = findNextPrime(num);
+    putstr('\rChecking '+num);
+    pset.add(num);
+    if (rightTruncatable(num, pset) && leftTruncatable(num, pset)) {
+        tset.add(num);
+        print('\r'+num+'            ');
+    }
+}
+
+print("Found 11 numbers, summing up.");
+
+let sum = 0;
+for (let number of tset) {
+    print(number);
+    sum += number;
+}
+
+print(sum);
diff --git a/2017-03-14/ikselven_euler87.js b/2017-03-14/ikselven_euler87.js
new file mode 100755
index 0000000..b817aeb
--- /dev/null
+++ b/2017-03-14/ikselven_euler87.js
@@ -0,0 +1,46 @@
+#!/usr/bin/js24
+
+function isPrime(num) {
+    if (num === 3) {
+        return true;
+    }
+    
+    if (num % 2 === 0) {
+        return false;
+    }
+
+    for (let i = 3; i <= Math.sqrt(num); i++) {
+        if (num % i === 0) {
+            return false;
+        }
+    }
+    return true;
+}
+
+const MAX = 5e7;
+let primes = [2, 3, 5, 7];
+
+for(let i=10; i<Math.sqrt(MAX); i++) {
+    if (isPrime(i)) {
+        primes.push(i);
+    }
+}
+
+print("found "+primes.length+" prime numbers");
+
+let sumSet = new Set();
+for(let index4=0; index4 < primes.length; index4++) {
+    let fourth = primes[index4] * primes[index4] * primes[index4] * primes[index4];
+    for(let index3=0; index3 < primes.length; index3++) {
+        let cube = primes[index3] * primes[index3] * primes[index3];
+        for(let index2=0; index2 < primes.length; index2++) {
+            let sum = fourth + cube + primes[index2] * primes[index2];
+            if (sum >= MAX) {
+                break;
+            }
+            sumSet.add(sum);
+        }
+    }
+}
+
+print("found "+sumSet.size+" numbers");