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:
Potom PQRP je Saccheriho čtyřúhelník a podle tvrzení o souměrnosti těchto čtyřúhelníků je přímka PR kolmá na přímku EF, kde E je střed úsečky PQ a F je střed úsečky PR.
Postion	Tokenization
1	Potom
2	PQRP
3	je
4	Saccheriho
5	čtyřúhelník
6	a
7	podle
8	tvrzení
9	o
10	souměrnosti
11	těchto
12	čtyřúhelníků
13	je
14	přímka
15	PR
16	kolmá
17	na
18	přímku
19	EF
20	,
21	kde
22	E
23	je
24	střed
25	úsečky
26	PQ
27	a
28	F
29	je
30	střed
31	úsečky
32	PR
33	.
Position	Tokenization	UPOS	Head	Deprel
1	Potom	ADV	5	advmod
2	PQRP	NOUN	5	nsubj
3	je	AUX	5	cop
4	Saccheriho	PROPN	5	nmod
5	čtyřúhelník	NOUN	0	root
6	a	CCONJ	16	cc
7	podle	ADP	8	case
8	tvrzení	NOUN	16	obl
9	o	ADP	10	case
10	souměrnosti	NOUN	8	nmod
11	těchto	DET	12	det
12	čtyřúhelníků	NOUN	10	nmod
13	je	AUX	16	cop
14	přímka	NOUN	16	nsubj
15	PR	NOUN	14	nmod
16	kolmá	ADJ	5	conj
17	na	ADP	18	case
18	přímku	NOUN	16	obl
19	EF	NOUN	18	nmod
20	,	PUNCT	24	punct
21	kde	ADV	24	advmod
22	E	NOUN	24	nsubj
23	je	AUX	24	cop
24	střed	NOUN	18	acl:relcl
25	úsečky	NOUN	24	nmod
26	PQ	NOUN	25	nmod
27	a	CCONJ	30	cc
28	F	NOUN	30	nsubj
29	je	AUX	30	cop
30	střed	NOUN	24	conj
31	úsečky	NOUN	30	nmod
32	PR	NOUN	31	nmod
33	.	PUNCT	5	punct