Description
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).
A character in UTF8 can be from 1 to 4 bytes long, subjected to the following rules:
- For a 1-byte character, the first bit is a
0, followed by its Unicode code. - For an n-bytes character, the first
nbits are all one's, then + 1bit is0, followed byn - 1bytes with the most significant2bits being10.
This is how the UTF-8 encoding would work:
Number of Bytes | UTF-8 Octet Sequence
| (binary)
--------------------+-----------------------------------------
1 | 0xxxxxxx
2 | 110xxxxx 10xxxxxx
3 | 1110xxxx 10xxxxxx 10xxxxxx
4 | 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx
x denotes a bit in the binary form of a byte that may be either 0 or 1.
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.
Example 1:
Input: data = [197,130,1] Output: true Explanation: data represents the octet sequence: 11000101 10000010 00000001. It is a valid utf-8 encoding for a 2-bytes character followed by a 1-byte character.
Example 2:
Input: data = [235,140,4] Output: false Explanation: data represented the octet sequence: 11101011 10001100 00000100. The first 3 bits are all one's and the 4th bit is 0 means it is a 3-bytes character. The next byte is a continuation byte which starts with 10 and that's correct. But the second continuation byte does not start with 10, so it is invalid.
Constraints:
1 <= data.length <= 2 * 1040 <= data[i] <= 255
Solutions
Solution 1: Single Pass
We use a variable cnt to record the current number of bytes that need to be filled starting with 10, initially cnt = 0.
For each integer v in the array:
- If cnt > 0, then check if v starts with 10. If not, return
false, otherwise decrement cnt. - If the highest bit of v is 0, then cnt = 0.
- If the highest two bits of v are 110, then cnt = 1.
- If the highest three bits of v are 1110, then cnt = 2.
- If the highest four bits of v are 11110, then cnt = 3.
- Otherwise, return
false.
Finally, if cnt = 0, return true, otherwise return false.
The time complexity is O(n), where n is the length of the array data. The space complexity is O(1).
class Solution: def validUtf8(self, data: List[int]) -> bool: cnt = 0 for v in data: if cnt > 0: if v >> 6 != 0b10: return False cnt -= 1 elif v >> 7 == 0: cnt = 0 elif v >> 5 == 0b110: cnt = 1 elif v >> 4 == 0b1110: cnt = 2 elif v >> 3 == 0b11110: cnt = 3 else: return False return cnt == 0(code-box)
