const fs = require('fs');

const input = fs.readFileSync(__dirname + '/input.txt', 'utf8');

const lines = input.split("\n");

interface Coord { x: number, y: number };

interface equation {
    prize: Coord,
    a: Coord,
    b: Coord,
}

const equations: Array<equation> = [];

for (let i = 0; i < lines.length; i += 4) {
    let match = lines[i].match(/Button A: X\+(\d+), Y\+(\d+)/);
    const a = { x: parseInt(match[1]), y: parseInt(match[2]) };
    match = lines[i + 1].match(/Button B: X\+(\d+), Y\+(\d+)/);
    const b = { x: parseInt(match[1]), y: parseInt(match[2]) };
    match = lines[i + 2].match(/Prize: X=(\d+), Y=(\d+)/);
    const prize = { x: parseInt(match[1]), y: parseInt(match[2]) };
    // Part 2
    prize.x += 10000000000000;
    prize.y += 10000000000000;

    equations.push({ prize, a, b });
}

let result = 0;

equations.forEach(({ a, b, prize }) => {
    // x*94 + y*22 = 8400
    // x*34 + y*67 = 5400
    // x = (8400 - y*22)/94
    // ((8400 - y*22)/94)*34 + y*67 = 5400
    // (8400 - y*22) + ((y*67*94)/34) = 5400 * 94/34
    // ((y*67*94)/34) - y*22 = ((5400 * 94/34)/34) - 8400
    // y * (((67*94)/34) - 22) = ((5400 * 94)/34) - 8400
    // y = (((5400 * 94)/34) - 8400) / (((67*94)/34) - 22)

    const bPresses = (((prize.y * a.x) / a.y) - prize.x) / (((b.y * a.x) / a.y) - b.x);
    const aPresses = (prize.x - (bPresses * b.x)) / a.x;

    if (
        Math.abs(bPresses - Math.round(bPresses)) < 0.001
        && Math.abs(aPresses - Math.round(aPresses)) < 0.001
        && aPresses > 0 && bPresses > 0
    ) {
        result += (Math.round(aPresses) * 3) + Math.round(bPresses);
    }
});

console.log(result);