{ "data": { "question": { "questionId": "393", "questionFrontendId": "393", "boundTopicId": null, "title": "UTF-8 Validation", "titleSlug": "utf-8-validation", "content": "

Given an integer array data representing the data, return whether it is a valid UTF-8 encoding (i.e. it translates to a sequence of valid UTF-8 encoded characters).

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A character in UTF8 can be from 1 to 4 bytes long, subjected to the following rules:

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    \n\t
  1. For a 1-byte character, the first bit is a 0, followed by its Unicode code.
  2. \n\t
  3. For an n-bytes character, the first n bits are all one's, the n + 1 bit is 0, followed by n - 1 bytes with the most significant 2 bits being 10.
  4. \n
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This is how the UTF-8 encoding would work:

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\n     Number of Bytes   |        UTF-8 Octet Sequence\n                       |              (binary)\n   --------------------+-----------------------------------------\n            1          |   0xxxxxxx\n            2          |   110xxxxx 10xxxxxx\n            3          |   1110xxxx 10xxxxxx 10xxxxxx\n            4          |   11110xxx 10xxxxxx 10xxxxxx 10xxxxxx\n
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x denotes a bit in the binary form of a byte that may be either 0 or 1.

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Note: The input is an array of integers. Only the least significant 8 bits of each integer is used to store the data. This means each integer represents only 1 byte of data.

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Example 1:

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\nInput: data = [197,130,1]\nOutput: true\nExplanation: data represents the octet sequence: 11000101 10000010 00000001.\nIt is a valid utf-8 encoding for a 2-bytes character followed by a 1-byte character.\n
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Example 2:

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\nInput: data = [235,140,4]\nOutput: false\nExplanation: data represented the octet sequence: 11101011 10001100 00000100.\nThe first 3 bits are all one's and the 4th bit is 0 means it is a 3-bytes character.\nThe next byte is a continuation byte which starts with 10 and that's correct.\nBut the second continuation byte does not start with 10, so it is invalid.\n
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Constraints:

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\r\nNote: The array can contain multiple valid UTF-8 characters.", "String manipulation will work fine here. But, it is too slow. Can we instead use bit manipulation to do the validations instead of string manipulations?", "We can use bit masking to check how many initial bits are set for a given number. We only need to work with the 8 least significant bits as mentioned in the problem.\r\n\r\n
\r\nmask = 1 << 7\r\nwhile mask & num:\r\n    n_bytes += 1\r\n    mask = mask >> 1\r\n
\r\n\r\nCan you use bit-masking to perform the second validation as well i.e. checking if the most significant bit is 1 and the second most significant bit a 0?", "To check if the most significant bit is a 1 and the second most significant bit is a 0, we can make use of the following two masks.\r\n\r\n
\r\nmask1 = 1 << 7\r\nmask2 = 1 << 6\r\n\r\nif not (num & mask1 and not (num & mask2)):\r\n    return False\r\n
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