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:
V našem odsouzeném geometrickém světě jsou však absolutní i některé délky úseček, totiž ty, které ve shora popsané korespondenci odpovídají absolutním velikostem úhlů.
Postion	Tokenization
1	V
2	našem
3	odsouzeném
4	geometrickém
5	světě
6	jsou
7	však
8	absolutní
9	i
10	některé
11	délky
12	úseček
13	,
14	totiž
15	ty
16	,
17	které
18	ve
19	shora
20	popsané
21	korespondenci
22	odpovídají
23	absolutním
24	velikostem
25	úhlů
26	.
Position	Tokenization	UPOS	Head	Deprel
1	V	ADP	5	case
2	našem	DET	5	det
3	odsouzeném	ADJ	5	amod
4	geometrickém	ADJ	5	amod
5	světě	NOUN	8	obl
6	jsou	AUX	8	cop
7	však	CCONJ	8	cc
8	absolutní	ADJ	0	root
9	i	CCONJ	11	advmod:emph
10	některé	DET	11	det
11	délky	NOUN	8	nsubj
12	úseček	NOUN	11	nmod
13	,	PUNCT	15	punct
14	totiž	ADV	15	cc
15	ty	DET	11	appos
16	,	PUNCT	22	punct
17	které	DET	22	nsubj
18	ve	ADP	21	case
19	shora	ADV	20	advmod
20	popsané	ADJ	21	amod
21	korespondenci	NOUN	22	obl
22	odpovídají	VERB	15	acl:relcl
23	absolutním	ADJ	24	amod
24	velikostem	NOUN	22	obl:arg
25	úhlů	NOUN	24	nmod
26	.	PUNCT	8	punct