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 text: v takovém případě by pochopitelně součet úhlů v tomto trojúhelníku nebyl roven dvěma úhlům pravým, což je ve sporu s tvrzením platným v klasickém geometrickém světě.
Position	Tokenization	UPOS	Head	Deprel
1	v	ADP	3	case
2	takovém	DET	3	det
3	případě	NOUN	12	obl
4	by	AUX	12	aux
5	pochopitelně	ADV	12	advmod
6	součet	NOUN	12	nsubj
7	úhlů	NOUN	6	nmod
8	v	ADP	10	case
9	tomto	DET	10	det
10	trojúhelníku	NOUN	7	nmod
11	nebyl	AUX	12	cop
12	roven	ADJ	0	root
13	dvěma	NUM	14	nummod
14	úhlům	NOUN	12	obl:arg
15	pravým	ADJ	14	amod
16	,	PUNCT	18	punct
17	což	PRON	18	nsubj
18	je	VERB	12	conj
19	ve	ADP	20	case
20	sporu	NOUN	18	obl
21	s	ADP	22	case
22	tvrzením	NOUN	20	nmod
23	platným	ADJ	22	amod
24	v	ADP	27	case
25	klasickém	ADJ	27	amod
26	geometrickém	ADJ	27	amod
27	světě	NOUN	23	obl
28	.	PUNCT	12	punct