export function compressCoordinates(nums: number[]): number[] {
  const sorted = [...new Set(nums.toSorted((a, b) => a - b))];

  const groups = new Map<number, number>();

  for (const [i, num] of sorted.entries()) {
    groups.set(num, i);
  }

  const result: number[] = [];

  for (const num of nums) {
    result.push(groups.get(num)!);
  }

  return result;
}