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:
K tomu by došlo tehdy, kdybychom po změření úhlů v nějakém trojúhelníku zjistili, že odchylka jejich součtu od dvou úhlů pravých je větší než horní odhad chyb, kterých jsme se při tomto měření mohli dopustit.
Postion	Tokenization
1	K
2	tomu
3	by
4	došlo
5	tehdy
6	,
7	kdybychom
8	když
9	bychom
10	po
11	změření
12	úhlů
13	v
14	nějakém
15	trojúhelníku
16	zjistili
17	,
18	že
19	odchylka
20	jejich
21	součtu
22	od
23	dvou
24	úhlů
25	pravých
26	je
27	větší
28	než
29	horní
30	odhad
31	chyb
32	,
33	kterých
34	jsme
35	se
36	při
37	tomto
38	měření
39	mohli
40	dopustit
41	.
Position	Tokenization	UPOS	Head	Deprel
1	K	ADP	2	case
2	tomu	DET	4	obl:arg
3	by	AUX	4	aux
4	došlo	VERB	0	root
5	tehdy	ADV	4	advmod
6	,	PUNCT	15	punct
7	kdybychom	_	None	_
8	když	SCONJ	15	mark
9	bychom	AUX	15	aux
10	po	ADP	10	case
11	změření	NOUN	15	obl
12	úhlů	NOUN	10	nmod
13	v	ADP	14	case
14	nějakém	DET	14	det
15	trojúhelníku	NOUN	11	nmod
16	zjistili	VERB	4	advcl
17	,	PUNCT	26	punct
18	že	SCONJ	26	mark
19	odchylka	NOUN	26	nsubj
20	jejich	DET	20	det
21	součtu	NOUN	18	nmod
22	od	ADP	23	case
23	dvou	NUM	23	nummod
24	úhlů	NOUN	18	nmod
25	pravých	ADJ	23	amod
26	je	AUX	26	cop
27	větší	ADJ	15	ccomp
28	než	SCONJ	29	mark
29	horní	ADJ	29	amod
30	odhad	NOUN	26	advcl
31	chyb	NOUN	29	nmod
32	,	PUNCT	38	punct
33	kterých	DET	39	obl:arg
34	jsme	AUX	38	aux
35	se	PRON	39	expl:pv
36	při	ADP	37	case
37	tomto	DET	37	det
38	měření	NOUN	38	obl
39	mohli	VERB	30	acl:relcl
40	dopustit	VERB	38	xcomp
41	.	PUNCT	4	punct