Given a word of length `n` and `n` six-sided dice with a character in each side. Find out if this word can be constructed by the set of given dice.\n\n**Example 1:**\n```\nInput:\nword = "hello"\ndice = [[a, l, c, d, e, f], [a, b, c, d, e, f], [a, b, c, h, e, f], [a, b, c, d, o, f], [a, b, c, l, e, f]]\nOutput: true\nExplanation: dice[2][3] + dice[1][4] + dice[0][1] + dice[4][3] + dice[3][4]\n```\n\n**Example 2:**\n```\nInput:\nword = "hello"\ndice = [[a, b, c, d, e, f], [a, b, c, d, e, f], [a, b, c, d, e, f], [a, b, c, d, e, f], [a, b, c, d, e, f]]\nOutput: false\n```\n\n**Example 3:**\n```\nInput:\nword = "aaaa"\ndice = [[a, a, a, a, a, a], [b, b, b, b, b, b], [a, b, c, d, e, f], [a, b, c, d, e, f]]\nOutput: false\n```

Given a word of length n and n six-sided dice with a character in each side. Find out if this word can be constructed by the set of given dice.\n\nExample 1:\n\