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:
Z teorie čísel je známo, že pro každou takovou volbu čísla i existuje právě jedno číslo j menší než φ (n ), pro něž platí, že číslo i . j - 1 je dělitelné číslem φ (n ).
Postion	Tokenization
1	Z
2	teorie
3	čísel
4	je
5	známo
6	,
7	že
8	pro
9	každou
10	takovou
11	volbu
12	čísla
13	i
14	existuje
15	právě
16	jedno
17	číslo
18	j
19	menší
20	než
21	φ
22	(
23	n
24	)
25	,
26	pro
27	něž
28	platí
29	,
30	že
31	číslo
32	i
33	.
34	j
35	-
36	1
37	je
38	dělitelné
39	číslem
40	φ
41	(
42	n
43	)
44	.
Position	Tokenization	UPOS	Head	Deprel
1	Z	ADP	2	case
2	teorie	NOUN	5	obl
3	čísel	NOUN	2	nmod
4	je	AUX	5	cop
5	známo	ADJ	0	root
6	,	PUNCT	14	punct
7	že	SCONJ	14	mark
8	pro	ADP	11	case
9	každou	DET	11	det
10	takovou	DET	11	det
11	volbu	NOUN	14	obl
12	čísla	NOUN	11	nmod
13	i	NOUN	12	nmod
14	existuje	VERB	5	csubj
15	právě	ADV	16	advmod:emph
16	jedno	NUM	17	nummod
17	číslo	NOUN	14	nsubj
18	j	NOUN	17	nmod
19	menší	ADJ	17	amod
20	než	SCONJ	21	mark
21	φ	NOUN	19	advcl
22	(	PUNCT	21	punct
23	n	NOUN	21	nmod
24	)	PUNCT	21	punct
25	,	PUNCT	28	punct
26	pro	ADP	27	case
27	něž	PRON	28	obl
28	platí	VERB	21	acl:relcl
29	,	PUNCT	38	punct
30	že	SCONJ	38	mark
31	číslo	NOUN	38	nsubj
32	i	NOUN	31	nmod
33	.	SYM	32	flat
34	j	NOUN	33	obj
35	-	SYM	32	flat
36	1	NUM	35	obj
37	je	AUX	38	cop
38	dělitelné	ADJ	28	ccomp
39	číslem	NOUN	38	obl
40	φ	NOUN	39	nmod
41	(	PUNCT	40	punct
42	n	NOUN	40	nmod
43	)	PUNCT	40	punct
44	.	PUNCT	5	punct