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day13.js
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const fs = require('fs');
const crt = require('nodejs-chinese-remainder');
fs.readFile('day13data.txt', (err, data) => {
let [startTime, buses] = data.toString().split("\r\n");
// console.log(info);
startTime = parseInt(startTime);
const buses2 = buses.split(',').filter((b) => b !== 'x').map((n) => parseInt(n));
console.log(startTime, buses2);
let found = 0;
let busTime = startTime;
while (found === 0) {
busTime += 1;
for (let i in buses2) {
if (busTime % buses2[i] === 0) { found = buses2[i] }
}
}
console.log(busTime, found, found * (busTime - startTime));
// console.log( ' x = 5 mod4' );
// console.log( ' x = 3 mod5' );
// console.log( ' x = 7 mod11' );
// console.log( ' The solution is: ' + crt([5,3,7], [4,5,11]));
// x % 7 === 0
// x % 13 === 1
// x = 7 mod 0
// x = 13 mod 1
// 7a = x
// 13b = x+1
// 59c = x+4
// 31d = x+6
// 19e = x+7
// [7 0 0 0 1]
const buses3 = buses.split(','); //.map(n => parseInt(n));
console.log(buses3);
let divisors = [];
let remainders = [];
for (let i = 0; i < buses3.length; i++) {
if (buses3[i] !== 'x') {
divisors.push(parseInt(buses3[i]));
remainders.push(i);
}
}
// console.log("crt", crt([5,3,7], [4,5,11]));
console.log(divisors, remainders);
// all numbers are prime
// 13*7*59-59
// (13*7*59)-91
let matches = [divisors[0]];
let lcm = divisors[0];
for (let i = 1; i < divisors.length; i++) {
let currentFactor = divisors[i];
let t = matches[i-1];
// let currentBigger = currentFactor;
// let currentSmaller = smallerFactor;
console.log(currentFactor, lcm);
// let latestMatch = 0;
// while ((currentBigger - remainders[i]) % divisors[i-1] !== 0) {
// console.log("checking", smallerFactor, currentBigger);
// if (currentBigger < smallerFactor) {
// currentBigger += currentFactor;
// } else {
// t += lcm;
// }
// }
while ((t + remainders[i]) % currentFactor !== 0) {
t += lcm;
}
// latestMatch = currentSmaller;
// matches.push(latestMatch);
lcm *= currentFactor;
// currentSmaller = currentBigger - remainders[i];
// console.log("currentSmaller", currentSmaller);
matches.push(t);
console.log("t", t);
}
});