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 každém vrcholu , ve kterém s(x)=1 , bude s(x)=1/2 s pravděpodobností p , pokud některý z jeho sousedů y je ve stavu s(y)=1/2 (hoří),
Postion	Tokenization
1	*
2	v
3	každém
4	vrcholu
5	,
6	ve
7	kterém
8	s
9	(
10	x
11	)
12	=
13	1
14	,
15	bude
16	s
17	(
18	x
19	)
20	=
21	1
22	/
23	2
24	s
25	pravděpodobností
26	p
27	,
28	pokud
29	některý
30	z
31	jeho
32	sousedů
33	y
34	je
35	ve
36	stavu
37	s
38	(
39	y
40	)
41	=
42	1
43	/
44	2
45	(
46	hoří
47	)
48	,
Position	Tokenization	UPOS	Head	Deprel
1	*	PUNCT	20	punct
2	v	ADP	4	case
3	každém	DET	4	det
4	vrcholu	NOUN	20	obl
5	,	PUNCT	12	punct
6	ve	ADP	7	case
7	kterém	DET	12	obl
8	s	NOUN	12	nsubj
9	(	PUNCT	8	punct
10	x	NOUN	8	nmod
11	)	PUNCT	8	punct
12	=	SYM	4	nmod
13	1	NUM	12	obj
14	,	PUNCT	12	punct
15	bude	AUX	20	aux
16	s	NOUN	20	nsubj
17	(	PUNCT	16	punct
18	x	NOUN	16	nmod
19	)	PUNCT	16	punct
20	=	SYM	0	root
21	1	NUM	20	obj
22	/	PUNCT	23	punct
23	2	NUM	21	conj
24	s	ADP	25	case
25	pravděpodobností	NOUN	20	obl
26	p	NOUN	25	nmod
27	,	PUNCT	34	punct
28	pokud	SCONJ	34	mark
29	některý	DET	34	nsubj
30	z	ADP	32	case
31	jeho	DET	32	det
32	sousedů	NOUN	29	nmod
33	y	NOUN	32	nmod
34	je	VERB	20	advcl
35	ve	ADP	36	case
36	stavu	NOUN	34	obl
37	s	NOUN	41	nsubj
38	(	PUNCT	37	punct
39	y	NOUN	37	nmod
40	)	PUNCT	37	punct
41	=	SYM	36	nmod
42	1	NUM	41	obj
43	/	PUNCT	44	punct
44	2	NUM	42	conj
45	(	PUNCT	46	punct
46	hoří	VERB	41	appos
47	)	PUNCT	46	punct
48	,	PUNCT	20	punct