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:
La notion de mesure algébrique apparaît dans certains énoncés de résultats (théorème de Thalès, théorème de Ceva, théorème de Ménélaüs,..) qui ne nécessitent nullement que soit définie une unité de « longueur », ni même que l'espace où l'on travaille soit fondé sur le corps des réels.
Postion	Tokenization
1	La
2	notion
3	de
4	mesure
5	algébrique
6	apparaît
7	dans
8	certains
9	énoncés
10	de
11	résultats
12	(
13	théorème
14	de
15	Thalès
16	,
17	théorème
18	de
19	Ceva
20	,
21	théorème
22	de
23	Ménélaüs
24	,
25	..
26	)
27	qui
28	ne
29	nécessitent
30	nullement
31	que
32	soit
33	définie
34	une
35	unité
36	de
37	«
38	longueur
39	»
40	,
41	ni
42	même
43	que
44	l'
45	espace
46	où
47	l'
48	on
49	travaille
50	soit
51	fondé
52	sur
53	le
54	corps
55	des
56	de
57	les
58	réels
59	.
Position	Tokenization	UPOS	Head	Deprel
1	La	DET	2	det
2	notion	NOUN	6	nsubj
3	de	ADP	4	case
4	mesure	NOUN	2	nmod
5	algébrique	ADJ	4	amod
6	apparaît	VERB	0	root
7	dans	ADP	9	case
8	certains	DET	9	det
9	énoncés	NOUN	6	obl:mod
10	de	ADP	11	case
11	résultats	NOUN	9	nmod
12	(	PUNCT	13	punct
13	théorème	NOUN	9	appos
14	de	ADP	15	case
15	Thalès	PROPN	13	nmod
16	,	PUNCT	17	punct
17	théorème	NOUN	13	conj
18	de	ADP	19	case
19	Ceva	PROPN	17	nmod
20	,	PUNCT	21	punct
21	théorème	NOUN	13	conj
22	de	ADP	23	case
23	Ménélaüs	PROPN	21	nmod
24	,	PUNCT	21	punct
25	..	PUNCT	13	punct
26	)	PUNCT	13	punct
27	qui	PRON	29	nsubj
28	ne	ADV	29	advmod
29	nécessitent	VERB	9	acl:relcl
30	nullement	ADV	29	advmod
31	que	SCONJ	33	mark
32	soit	AUX	33	aux:pass
33	définie	VERB	29	ccomp:obj
34	une	DET	35	det
35	unité	NOUN	33	nsubj:pass
36	de	ADP	38	case
37	«	PUNCT	38	punct
38	longueur	NOUN	35	nmod
39	»	PUNCT	38	punct
40	,	PUNCT	51	punct
41	ni	CCONJ	51	cc
42	même	ADV	51	advmod
43	que	SCONJ	51	mark
44	l'	DET	45	det
45	espace	NOUN	51	nsubj
46	où	ADV	49	advmod
47	l'	DET	49	nsubj
48	on	PRON	47	fixed
49	travaille	VERB	45	acl:relcl
50	soit	AUX	51	aux:tense
51	fondé	VERB	33	conj
52	sur	ADP	54	case
53	le	DET	54	det
54	corps	NOUN	51	obl:mod
55	des	_	None	_
56	de	ADP	57	case
57	les	DET	57	det
58	réels	NOUN	54	nmod
59	.	PUNCT	6	punct