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:
Jsou-li úsečky PP , QQ stejně dlouhé, je PQQP Saccheriho čtyřúhelník a podle tvrzení o souměrnosti těchto čtyřúhelníků je spojnice středů úseček PQ , PQ kolmá na přímky PQ , PQ.
Postion	Tokenization
1	Jsou
2	-
3	li
4	úsečky
5	PP
6	,
7	QQ
8	stejně
9	dlouhé
10	,
11	je
12	PQQP
13	Saccheriho
14	čtyřúhelník
15	a
16	podle
17	tvrzení
18	o
19	souměrnosti
20	těchto
21	čtyřúhelníků
22	je
23	spojnice
24	středů
25	úseček
26	PQ
27	,
28	PQ
29	kolmá
30	na
31	přímky
32	PQ
33	,
34	PQ
35	.
Position	Tokenization	UPOS	Head	Deprel
1	Jsou	AUX	9	cop
2	-	PUNCT	9	punct
3	li	PART	9	mark
4	úsečky	NOUN	9	nsubj
5	PP	NOUN	4	nmod
6	,	PUNCT	7	punct
7	QQ	NOUN	5	conj
8	stejně	ADV	9	advmod
9	dlouhé	ADJ	14	advcl
10	,	PUNCT	9	punct
11	je	AUX	14	cop
12	PQQP	NOUN	14	nsubj
13	Saccheriho	PROPN	14	nmod
14	čtyřúhelník	NOUN	0	root
15	a	CCONJ	29	cc
16	podle	ADP	17	case
17	tvrzení	NOUN	29	obl
18	o	ADP	19	case
19	souměrnosti	NOUN	17	nmod
20	těchto	DET	21	det
21	čtyřúhelníků	NOUN	19	nmod
22	je	AUX	29	cop
23	spojnice	NOUN	29	nsubj
24	středů	NOUN	23	nmod
25	úseček	NOUN	24	nmod
26	PQ	NOUN	25	nmod
27	,	PUNCT	28	punct
28	PQ	NOUN	26	conj
29	kolmá	ADJ	14	conj
30	na	ADP	31	case
31	přímky	NOUN	29	obl
32	PQ	NOUN	31	nmod
33	,	PUNCT	34	punct
34	PQ	NOUN	32	conj
35	.	PUNCT	14	punct