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:
Après ses méthodes ont été utilisées dans beaucoup de sujets comme la géométrie algébrique, l'algèbre, théorie des nombres, théorie des opérateurs, etc.
Postion	Tokenization
1	Après
2	ses
3	méthodes
4	ont
5	été
6	utilisées
7	dans
8	beaucoup
9	de
10	sujets
11	comme
12	la
13	géométrie
14	algébrique
15	,
16	l'
17	algèbre
18	,
19	théorie
20	des
21	de
22	les
23	nombres
24	,
25	théorie
26	des
27	de
28	les
29	opérateurs
30	,
31	etc.
Position	Tokenization	UPOS	Head	Deprel
1	Après	ADV	6	advmod
2	ses	DET	3	det
3	méthodes	NOUN	6	nsubj:pass
4	ont	AUX	6	aux:tense
5	été	AUX	6	aux:pass
6	utilisées	VERB	0	root
7	dans	ADP	8	case
8	beaucoup	ADV	6	obl:mod
9	de	ADP	10	case
10	sujets	NOUN	8	dep:comp
11	comme	ADP	13	case
12	la	DET	13	det
13	géométrie	NOUN	10	nmod
14	algébrique	ADJ	13	amod
15	,	PUNCT	17	punct
16	l'	DET	17	det
17	algèbre	NOUN	13	conj
18	,	PUNCT	19	punct
19	théorie	NOUN	13	conj
20	des	_	None	_
21	de	ADP	22	case
22	les	DET	22	det
23	nombres	NOUN	19	nmod
24	,	PUNCT	24	punct
25	théorie	NOUN	13	conj
26	des	_	None	_
27	de	ADP	27	case
28	les	DET	27	det
29	opérateurs	NOUN	24	nmod
30	,	PUNCT	29	punct
31	etc.	X	13	conj