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:
Kdyby úsečky XX , YY měly stejnou délku, byl by XYYX Saccheriho čtyřúhelník, a tedy spojnice středů úseček XY , XY by byla druhou společnou kolmicí přímek p,q.
Postion	Tokenization
1	Kdyby
2	Když
3	by
4	úsečky
5	XX
6	,
7	YY
8	měly
9	stejnou
10	délku
11	,
12	byl
13	by
14	XYYX
15	Saccheriho
16	čtyřúhelník
17	,
18	a
19	tedy
20	spojnice
21	středů
22	úseček
23	XY
24	,
25	XY
26	by
27	byla
28	druhou
29	společnou
30	kolmicí
31	přímek
32	p
33	,
34	q
35	.
Position	Tokenization	UPOS	Head	Deprel
1	Kdyby	_	None	_
2	Když	SCONJ	7	mark
3	by	AUX	7	aux
4	úsečky	NOUN	7	nsubj
5	XX	NUM	3	nummod
6	,	PUNCT	6	punct
7	YY	NOUN	4	conj
8	měly	VERB	15	advcl
9	stejnou	ADJ	9	amod
10	délku	NOUN	7	obj
11	,	PUNCT	7	punct
12	byl	AUX	15	cop
13	by	AUX	15	aux
14	XYYX	NOUN	15	nsubj
15	Saccheriho	PROPN	15	nmod
16	čtyřúhelník	NOUN	0	root
17	,	PUNCT	29	punct
18	a	CCONJ	29	cc
19	tedy	ADV	29	cc
20	spojnice	NOUN	29	nsubj
21	středů	NOUN	19	nmod
22	úseček	NOUN	20	nmod
23	XY	NOUN	21	nmod
24	,	PUNCT	24	punct
25	XY	NOUN	22	conj
26	by	AUX	29	aux
27	byla	AUX	29	cop
28	druhou	ADJ	29	amod
29	společnou	ADJ	29	amod
30	kolmicí	NOUN	15	conj
31	přímek	NOUN	29	nmod
32	p	NOUN	30	nmod
33	,	PUNCT	33	punct
34	q	NOUN	31	conj
35	.	PUNCT	15	punct