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:
Vytváříme-li pravoúhlé rovnoramenné trojúhelníky o stále větších rozměrech, pak délky jejich výšek jsou shora omezeny délkou k, kde k je vzdálenost bodu P od přímky p, jehož úhel souběžnosti s touto přímkou je roven polovině úhlu pravého.
Postion	Tokenization
1	Vytváříme
2	-
3	li
4	pravoúhlé
5	rovnoramenné
6	trojúhelníky
7	o
8	stále
9	větších
10	rozměrech
11	,
12	pak
13	délky
14	jejich
15	výšek
16	jsou
17	shora
18	omezeny
19	délkou
20	k
21	,
22	kde
23	k
24	je
25	vzdálenost
26	bodu
27	P
28	od
29	přímky
30	p
31	,
32	jehož
33	úhel
34	souběžnosti
35	s
36	touto
37	přímkou
38	je
39	roven
40	polovině
41	úhlu
42	pravého
43	.
Position	Tokenization	UPOS	Head	Deprel
1	Vytváříme	VERB	18	advcl
2	-	PUNCT	1	punct
3	li	PART	1	mark
4	pravoúhlé	ADJ	6	amod
5	rovnoramenné	ADJ	6	amod
6	trojúhelníky	NOUN	1	obj
7	o	ADP	10	case
8	stále	ADV	9	advmod
9	větších	ADJ	10	amod
10	rozměrech	NOUN	6	nmod
11	,	PUNCT	1	punct
12	pak	ADV	18	advmod
13	délky	NOUN	18	nsubj
14	jejich	DET	15	det
15	výšek	NOUN	13	nmod
16	jsou	AUX	18	cop
17	shora	ADV	18	advmod
18	omezeny	ADJ	0	root
19	délkou	NOUN	18	obl
20	k	NOUN	19	nmod
21	,	PUNCT	25	punct
22	kde	ADV	25	advmod
23	k	NOUN	25	nsubj
24	je	AUX	25	cop
25	vzdálenost	NOUN	20	acl:relcl
26	bodu	NOUN	25	nmod
27	P	NOUN	26	nmod
28	od	ADP	29	case
29	přímky	NOUN	25	nmod
30	p	NOUN	29	nmod
31	,	PUNCT	39	punct
32	jehož	DET	33	det
33	úhel	NOUN	39	nsubj
34	souběžnosti	NOUN	33	nmod
35	s	ADP	37	case
36	touto	DET	37	det
37	přímkou	NOUN	34	nmod
38	je	AUX	39	cop
39	roven	ADJ	26	acl:relcl
40	polovině	NOUN	39	obl:arg
41	úhlu	NOUN	40	nmod
42	pravého	ADJ	41	amod
43	.	PUNCT	18	punct