centroids = input.split('\n').map(line => line.match(/\d+/g).map(Number))
function manhattanDistance (a, b) {
return Math.abs(a[0] - b[0]) + Math.abs(a[1] - b[1]);
}
largestFiniteArea = {
let unboundedCentroids = new Set();
let centroidAreas = {}
for (let x = minX; x <= maxX; x++) {
for (let y = minY; y <= maxY; y++) {
// Get the sorted distances from (x, y) to each centroid
const distances = centroids.map(c => [manhattanDistance(c, [x, y]), c]).sort((a, b) => a[0] - b[0]);
// Don't count points equidistance to >1 centroid
if (distances[0][0] !== distances[1][0]) {
centroidAreas[distances[0][1]] = (centroidAreas[distances[0][1]] || 0) + 1;
}
// If a border point is assigned to a centroid, that centroid's region is infinite
if (x === minX || y === minY || x === maxX || y === maxY) {
unboundedCentroids.add(distances[0][1]);
}
}
}
for (const centroid of unboundedCentroids) {
delete centroidAreas[centroid];
}
return Math.max(...Object.entries(centroidAreas).map(e => e[1]));
}
safeCoordinateCount = {
let safeCoordinateCount = 0;
for (let x = minX; x <= maxX; x++) {
for (let y = minY; y <= maxY; y++) {
// Sum point (x, y)'s distance to each centroid
const totalDistance = centroids.map(c => manhattanDistance(c, [x, y])).reduce((sum, n) => sum + n);
if (totalDistance < totalDistanceCap) {
safeCoordinateCount++;
}
}
}
return safeCoordinateCount;
}
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