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:
Dokážeme, že přímka p je souběžkou přímky q vedenou bodem P , a sice ve směru, jenž míří do téže poloroviny určené přímkou P P jako směr souběžnosti přímky q s přímkou p v bodě P.
Postion	Tokenization
1	Dokážeme
2	,
3	že
4	přímka
5	p
6	je
7	souběžkou
8	přímky
9	q
10	vedenou
11	bodem
12	P
13	,
14	a
15	sice
16	ve
17	směru
18	,
19	jenž
20	míří
21	do
22	téže
23	poloroviny
24	určené
25	přímkou
26	P
27	P
28	jako
29	směr
30	souběžnosti
31	přímky
32	q
33	s
34	přímkou
35	p
36	v
37	bodě
38	P
39	.
Position	Tokenization	UPOS	Head	Deprel
1	Dokážeme	VERB	0	root
2	,	PUNCT	7	punct
3	že	SCONJ	7	mark
4	přímka	NOUN	7	nsubj
5	p	NOUN	4	nmod
6	je	AUX	7	cop
7	souběžkou	NOUN	1	ccomp
8	přímky	NOUN	7	nmod
9	q	NOUN	8	nmod
10	vedenou	ADJ	7	amod
11	bodem	NOUN	10	obl
12	P	NOUN	11	nmod
13	,	PUNCT	17	punct
14	a	CCONJ	17	cc
15	sice	PART	14	fixed
16	ve	ADP	17	case
17	směru	NOUN	10	obl
18	,	PUNCT	20	punct
19	jenž	PRON	20	nsubj
20	míří	VERB	17	acl:relcl
21	do	ADP	23	case
22	téže	DET	23	det
23	poloroviny	NOUN	20	obl
24	určené	ADJ	23	amod
25	přímkou	NOUN	24	obl
26	P	NOUN	25	nmod
27	P	NOUN	25	nmod
28	jako	SCONJ	29	mark
29	směr	NOUN	24	xcomp
30	souběžnosti	NOUN	29	nmod
31	přímky	NOUN	30	nmod
32	q	NOUN	31	nmod
33	s	ADP	34	case
34	přímkou	NOUN	30	nmod
35	p	NOUN	34	nmod
36	v	ADP	37	case
37	bodě	NOUN	30	nmod
38	P	NOUN	37	nmod
39	.	PUNCT	1	punct