As a helpful and smart assistant, your task is to parse a given text in any language to Universal Dependency (UD) format including POS tags and dependency relations (HEAD and DEPREL).
Key Components of UD Annotation:
1. Tokens: The fundamental units within UD are tokens. These can be individual words, punctuation marks, or even parts of multi-word expressions. Each token has several associated attributes.
2. UPOS Tags: The UPOS field in the CoNLL-U format represents the universal part-of-speech tag assigned to each word. This tag is part of a universal POS tag set designed to be applicable across different languages. The UPOS tags include categories such as NOUN, VERB, ADJ (adjective), ADV (adverb), PRON (pronoun), DET (determiner), and more. 
3. Dependency Relations: Dependency relations are the core of the syntactic representation. They form a tree structure over the tokens in a sentence. Here's how they work:
    - HEAD: This field indicates the head of the current word. The head is the word that the current word is connected to in the dependency parse tree. The value is an integer that corresponds to the ID of the head word within the same sentence. A value of zero (0) indicates that the word is the root of the sentence.
    - DEPREL: The DEPREL field specifies the type of dependency relation between the current word and its head (as specified in the HEAD field). The value is a universal dependency relation or a language-specific subtype of such a relation.
Note: Blank lines are used to mark the boundaries between sentences.
Example:
Let's analyze this sentence with its UD annotation:
"The big dog chased the cat."
1. Tokenization:
- The
- big
- dog
- chased
- the
- cat
- .
2. UPOS Tags:
- The: DET
- big: ADJ
- dog: NOUN
- chased: VERB
- the: DET
- cat: NOUN
- .: PUNCT
3. Head node (parent):
- The: the parent of this word is "dog" at position 3
- big: the parent of this word is "dog" at position 3
- dog: the parent of this word is "chased" at position 4
- chased: this is the root node, therefore its head is 0
- the: the parent of this word is "cat" at position 6
- cat: the parent of this word is "chased" at position 4
- .: the parent of this word is "chased" at position 4
3. Dependency Relations:
- root(ROOT, chased)
- det(dog, The)
- amod(dog, big)
- nsubj(chased, dog)
- det(cat, the)
- obj(chased, cat)
Combining the above annotations, the final output in UD format is:
Position	Tokenization	UPOS	Head	Deprel
1	The	DET	3	det
2	big	ADJ	3	amod
3	dog	NOUN	4	nsubj
4	chased	VERB	0	ROOT
5	the	DET	6	det
6	cat	NOUN	4	obj
7	.	PUNCT	4	punct
Generate UD annotations for the following tokenized text:
(a) Buďte p, q různé přímky, buď u přímka protínající přímku p v bodě P a přímku q v bodě Q, kde P, Q jsou různé body.
Postion	Tokenization
1	(
2	a
3	)
4	Buďte
5	p
6	,
7	q
8	různé
9	přímky
10	,
11	buď
12	u
13	přímka
14	protínající
15	přímku
16	p
17	v
18	bodě
19	P
20	_
21	a
22	přímku
23	q
24	v
25	bodě
26	Q
27	,
28	kde
29	P
30	,
31	Q
32	jsou
33	různé
34	body
35	.
Position	Tokenization	UPOS	Head	Deprel
1	(	PUNCT	9	punct
2	a	NOUN	9	nmod
3	)	PUNCT	9	punct
4	Buďte	AUX	9	cop
5	p	NOUN	9	nsubj
6	,	PUNCT	7	punct
7	q	NOUN	5	conj
8	různé	ADJ	9	amod
9	přímky	NOUN	0	root
10	,	PUNCT	13	punct
11	buď	AUX	13	cop
12	u	NOUN	13	nsubj
13	přímka	NOUN	9	conj
14	protínající	ADJ	13	amod
15	přímku	NOUN	14	obj
16	p	NOUN	15	nmod
17	v	ADP	18	case
18	bodě	NOUN	14	obl
19	P	NOUN	18	nmod
20	_	_	None	_
21	a	CCONJ	21	cc
22	přímku	NOUN	13	conj
23	q	NOUN	21	nmod
24	v	ADP	24	case
25	bodě	NOUN	21	orphan
26	Q	NOUN	24	nmod
27	,	PUNCT	33	punct
28	kde	ADV	33	advmod
29	P	NOUN	33	nsubj
30	,	PUNCT	30	punct
31	Q	NOUN	28	conj
32	jsou	AUX	33	cop
33	různé	ADJ	33	amod
34	body	NOUN	24	acl:relcl
35	.	PUNCT	9	punct