September 06, 2016 - algorithm

393. UTF-8 Validation

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

  1. For 1-byte character, the first bit is a 0, followed by its unicode code.
  2. For n-bytes character, the first n-bits are all one’s, the n+1 bit is 0, followed by n-1 bytes with most significant 2 bits being 10.

This is how the UTF-8 encoding would work:

Char. number range  |        UTF-8 octet sequence
   (hexadecimal)    |              (binary)
--------------------+---------------------------------------------
0000 0000-0000 007F | 0xxxxxxx
0000 0080-0000 07FF | 110xxxxx 10xxxxxx
0000 0800-0000 FFFF | 1110xxxx 10xxxxxx 10xxxxxx
0001 0000-0010 FFFF | 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx

Given an array of integers representing the data, return whether it is a valid utf-8 encoding.

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:

data = [197, 130, 1], which represents the octet sequence: 11000101 10000010 00000001.

Return true.
It is a valid utf-8 encoding for a 2-bytes character followed by a 1-byte character.

Example 2:

data = [235, 140, 4], which represented the octet sequence: 11101011 10001100 00000100.

Return false.
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.

1. Analyse

`AND` the mask `0xxxxxxx`, `110xxxxx`, `1110xxxx` and `11110xxx`. 

0xxxxxxx	[00000000,01111111]-->[0,127]
110xxxxx	[11000000,11011111]-->[192,223]
1110xxxx	[11100000,11101111]-->[224,239]
11110xxx	[11110000,11110111]-->[240,247]

10xxxxxx	[10000000,10111111]-->[128,191] ### 2. AC Code

class Solution { public: bool validUtf8(vector& data) {

for( int i=0; i<data.size(); i++){
		int follow_bys = 0;
		if( 0 <= data[i] && data[i] <= 127 )		follow_bys = 0;
		else if( 192 <= data[i] && data[i] <= 223 )	follow_bys = 1;
		else if( 224 <= data[i] && data[i] <= 239 )	follow_bys = 2;
		else if( 240 <= data[i] && data[i] <= 247 )	follow_bys = 3;
		else										return false;

		if(i+follow_bys >= data.size())	return false;

		for( int j=1; j<=follow_bys; j++ ){
			if( ! (128 <= data[i+j] && data[i+j] <= 191) )
				return false;
		}

		i += follow_bys;
	}       
	return true;
} };