Music Player Mode Detection

You are given a string playlist representing the order in which songs were played. Each non-space character represents a song; spaces are ignored when computing modes (they may appear as visual separators in the input).

A music player has two modes:

• Random mode — songs are played in any random order. A playlist is consistent with random mode whenever it contains at least one song.
• Shuffle mode — songs are played in rounds, where each round contains every distinct song exactly once (in any order within the round). A playlist is consistent with shuffle mode iff:
  1. After removing spaces, the playlist length is a multiple of the number of distinct songs K.
  2. Each consecutive chunk of K characters is a permutation of the full song set (each distinct song appears exactly once).

Return a list [isRandom, isShuffle] of two booleans.

Example 1: Input: "ABACBA" Distinct songs: {A, B, C} (K = 3). After space removal: "ABACBA" (length 6). 6 % 3 == 0, so chunks of 3: "ABA" (missing C), "CBA" (full). Not all chunks are permutations, so shuffle = false. Output: [true, false]

Example 2: Input: "ABCD CABD BCDA" Distinct songs: {A, B, C, D} (K = 4). After removing spaces: "ABCDCABDBCDA" (length 12). Chunks of 4: "ABCD", "CABD", "BCDA" — all permutations of {A,B,C,D}. Output: [true, true]

Constraints:

• 1 <= playlist.length <= 10^5
• The playlist contains alphanumeric characters and optional spaces.
• At least one non-space character is present.