const input = require('fs').readFileSync('input-day9.txt', 'utf-8');

/** @type {Array<[number, number]} */
const points = input.split("\n").map(r => r.split(',').map(v => parseInt(v, 10)));

let largest = 0;
let largestInside = 0;
for (const [startX, startY] of points) {
    for (const [nextX, nextY] of points) {
        if (startX === nextX && startY === nextY) continue;

        const minX = Math.min(startX, nextX);
        const maxX = Math.max(startX, nextX);
        const minY = Math.min(startY, nextY);
        const maxY = Math.max(startY, nextY);

        const area = (maxX - minX + 1) * (maxY - minY + 1);
        if (area > largest) {
            largest = area;
        }

        if (area <= largestInside) continue;

        // center point check, ala https://en.wikipedia.org/wiki/Even%E2%80%93odd_rule
        const centerX = (minX + maxX) / 2;
        const centerY = (minY + maxY) / 2;
        let inside = false;
        for (const [i, [aX, aY]] of points.entries()) {
            const [bX, bY] = points[i - 1] ?? points[points.length - 1];
            if (centerX === aX && centerY === aY) {
                inside = true;
                break;
            }
            if ((aY > centerY) !== (bY > centerY)) {
                const slope = (centerX - aX) * (bY - aY) - (bX - aX) * (centerY - aY);
                if (slope === 0) {
                    inside = true;
                    break;
                }
                if ((slope < 0) !== (bY < aY)) {
                    inside = !inside;
                }
            }
        }

        if (!inside) continue;

        // check for edge intersections, ala https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection
        let intersects = false;
        for (const [i, [aX, aY]] of points.entries()) {
            const [bX, bY] = points[i - 1] ?? points[points.length - 1];

            if (aX === bX) {
                if (aX > minX && aX < maxX) {
                    const wallMinY = Math.min(aY, bY);
                    const wallMaxY = Math.max(aY, bY);

                    if (Math.max(minY, wallMinY) < Math.min(maxY, wallMaxY)) {
                        intersects = true;
                        break;
                    }
                }
            } else if (aY === bY) {
                if (aY > minY && aY < maxY) {
                    const wallMinX = Math.min(aX, bX);
                    const wallMaxX = Math.max(aX, bX);

                    if (Math.max(minX, wallMinX) < Math.min(maxX, wallMaxX)) {
                        intersects = true;
                        break;
                    }
                }
            }
        }

        if (intersects) continue;

        if (area > largestInside) {
            largestInside = area;
        }
    }
}

console.log(`Part 1 Answer: ${largest}`);
console.log(`Part 2 Answer: ${largestInside}`);