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:
Přímky PM, r svírají s přímkou PP po jedné její straně vnitřní úhly, jejichž součet je roven dvěma úhlům pravým, a tudíž se nikdy neprotnou.
Postion	Tokenization
1	Přímky
2	PM
3	,
4	r
5	svírají
6	s
7	přímkou
8	PP
9	po
10	jedné
11	její
12	straně
13	vnitřní
14	úhly
15	,
16	jejichž
17	součet
18	je
19	roven
20	dvěma
21	úhlům
22	pravým
23	,
24	a
25	tudíž
26	se
27	nikdy
28	neprotnou
29	.
Position	Tokenization	UPOS	Head	Deprel
1	Přímky	NOUN	5	nsubj
2	PM	NOUN	1	nmod
3	,	PUNCT	4	punct
4	r	NOUN	2	conj
5	svírají	VERB	0	root
6	s	ADP	7	case
7	přímkou	NOUN	5	obl:arg
8	PP	NOUN	7	nmod
9	po	ADP	12	case
10	jedné	NUM	12	nummod
11	její	DET	12	det
12	straně	NOUN	5	obl
13	vnitřní	ADJ	14	amod
14	úhly	NOUN	5	obj
15	,	PUNCT	19	punct
16	jejichž	DET	17	det
17	součet	NOUN	19	nsubj
18	je	AUX	19	cop
19	roven	ADJ	14	acl:relcl
20	dvěma	NUM	21	nummod
21	úhlům	NOUN	19	obl:arg
22	pravým	ADJ	21	amod
23	,	PUNCT	28	punct
24	a	CCONJ	28	cc
25	tudíž	CCONJ	28	cc
26	se	PRON	28	obj
27	nikdy	ADV	28	advmod
28	neprotnou	VERB	19	conj
29	.	PUNCT	5	punct