id	sid	tid	token	lemma	pos
iajs-2676	1	1	39	39	NUM
iajs-2676	1	2	some	some	DET
iajs-2676	1	3	games	game	NOUN
iajs-2676	1	4	in	in	ADP
iajs-2676	1	5	ẛpregseparation	ẛpregseparation	NOUN
iajs-2676	1	6	axioms	axiom	NOUN
iajs-2676	1	7	esmaeel	esmaeel	VERB
iajs-2676	1	8	r.	r.	PROPN
iajs-2676	1	9	b.	b.	PROPN
iajs-2676	1	10	ahmed	ahmed	PROPN
iajs-2676	1	11	a.	a.	PROPN
iajs-2676	1	12	jassam	jassam	PROPN
iajs-2676	1	13	department	department	PROPN
iajs-2676	1	14	of	of	ADP
iajs-2676	1	15	mathematics	mathematics	PROPN
iajs-2676	1	16	,	,	PUNCT
iajs-2676	1	17	department	department	NOUN
iajs-2676	1	18	of	of	ADP
iajs-2676	1	19	mathematics	mathematics	PROPN
iajs-2676	1	20	,	,	PUNCT
iajs-2676	1	21	college	college	NOUN
iajs-2676	1	22	of	of	ADP
iajs-2676	1	23	education	education	NOUN
iajs-2676	1	24	for	for	ADP
iajs-2676	1	25	pure	pure	ADJ
iajs-2676	1	26	sciences	science	NOUN
iajs-2676	1	27	,	,	PUNCT
iajs-2676	1	28	college	college	NOUN
iajs-2676	1	29	of	of	ADP
iajs-2676	1	30	education	education	NOUN
iajs-2676	1	31	for	for	ADP
iajs-2676	1	32	pure	pure	ADJ
iajs-2676	1	33	sciences	science	NOUN
iajs-2676	1	34	,	,	PUNCT
iajs-2676	1	35	ibn	ibn	PROPN
iajs-2676	1	36	al	al	PROPN
iajs-2676	1	37	-	-	PUNCT
iajs-2676	1	38	haitham	haitham	PROPN
iajs-2676	1	39	,	,	PUNCT
iajs-2676	1	40	university	university	PROPN
iajs-2676	1	41	of	of	ADP
iajs-2676	1	42	baghdad	baghdad	PROPN
iajs-2676	1	43	,	,	PUNCT
iajs-2676	1	44	ibn	ibn	PROPN
iajs-2676	1	45	al	al	PROPN
iajs-2676	1	46	-	-	PUNCT
iajs-2676	1	47	haitham	haitham	PROPN
iajs-2676	1	48	,	,	PUNCT
iajs-2676	1	49	university	university	PROPN
iajs-2676	1	50	of	of	ADP
iajs-2676	1	51	baghdad	baghdad	PROPN
iajs-2676	1	52	,	,	PUNCT
iajs-2676	1	53	baghdad	baghdad	PROPN
iajs-2676	1	54	,	,	PUNCT
iajs-2676	1	55	iraq	iraq	PROPN
iajs-2676	1	56	.	.	PUNCT
iajs-2676	2	1	baghdad	baghdad	PROPN
iajs-2676	2	2	,	,	PUNCT
iajs-2676	2	3	iraq	iraq	PROPN
iajs-2676	2	4	.	.	PUNCT
iajs-2676	3	1	ranamumosa@yahoo.com	ranamumosa@yahoo.com	X
iajs-2676	3	2	ahm7a7a@gmail.com	ahm7a7a@gmail.com	X
iajs-2676	4	1	abstract	abstract	ADJ
iajs-2676	4	2	the	the	DET
iajs-2676	4	3	primary	primary	ADJ
iajs-2676	4	4	purpose	purpose	NOUN
iajs-2676	4	5	of	of	ADP
iajs-2676	4	6	this	this	DET
iajs-2676	4	7	subject	subject	NOUN
iajs-2676	4	8	is	be	AUX
iajs-2676	4	9	to	to	PART
iajs-2676	4	10	define	define	VERB
iajs-2676	4	11	new	new	ADJ
iajs-2676	4	12	games	game	NOUN
iajs-2676	4	13	in	in	ADP
iajs-2676	4	14	ideal	ideal	ADJ
iajs-2676	4	15	spaces	space	NOUN
iajs-2676	4	16	via	via	ADP
iajs-2676	4	17	ẛ‐	ẛ‐	PROPN
iajs-2676	4	18	pre	pre	NOUN
iajs-2676	4	19	‐	‐	ADP
iajs-2676	4	20	g‐	g‐	NOUN
iajs-2676	4	21	open	open	ADJ
iajs-2676	4	22	set	set	NOUN
iajs-2676	4	23	.	.	PUNCT
iajs-2676	5	1	the	the	DET
iajs-2676	5	2	relationships	relationship	NOUN
iajs-2676	5	3	between	between	ADP
iajs-2676	5	4	games	game	NOUN
iajs-2676	5	5	that	that	PRON
iajs-2676	5	6	provided	provide	VERB
iajs-2676	5	7	and	and	CCONJ
iajs-2676	5	8	the	the	DET
iajs-2676	5	9	winning	winning	NOUN
iajs-2676	5	10	and	and	CCONJ
iajs-2676	5	11	losing	lose	VERB
iajs-2676	5	12	strategy	strategy	NOUN
iajs-2676	5	13	for	for	ADP
iajs-2676	5	14	any	any	DET
iajs-2676	5	15	player	player	NOUN
iajs-2676	5	16	were	be	AUX
iajs-2676	5	17	elucidated	elucidate	VERB
iajs-2676	5	18	.	.	PUNCT
iajs-2676	6	1	keywords	keyword	NOUN
iajs-2676	6	2	.	.	PUNCT
iajs-2676	7	1	ẛ‐	ẛ‐	ADJ
iajs-2676	7	2	pre‐	pre‐	SYM
iajs-2676	7	3	g‐	g‐	NOUN
iajs-2676	7	4	open	open	ADJ
iajs-2676	7	5	set	set	NOUN
iajs-2676	7	6	,	,	PUNCT
iajs-2676	7	7	ẛ‐	ẛ‐	ADJ
iajs-2676	7	8	pre‐	pre‐	SYM
iajs-2676	7	9	g‐	g‐	NOUN
iajs-2676	7	10	open	open	ADJ
iajs-2676	7	11	function	function	NOUN
iajs-2676	7	12	,	,	PUNCT
iajs-2676	7	13	ẛ‐	ẛ‐	PROPN
iajs-2676	7	14	pre‐	pre‐	SYM
iajs-2676	7	15	g‐	g‐	NOUN
iajs-2676	7	16	cotinuous	cotinuous	ADJ
iajs-2676	7	17	function	function	NOUN
iajs-2676	7	18	,	,	PUNCT
iajs-2676	7	19	ẛ‐	ẛ‐	ADJ
iajs-2676	7	20	pre‐	pre‐	SYM
iajs-2676	7	21	g‐	g‐	NOUN
iajs-2676	7	22	separation	separation	NOUN
iajs-2676	7	23	axioms	axiom	NOUN
iajs-2676	7	24	and	and	CCONJ
iajs-2676	7	25	game	game	NOUN
iajs-2676	7	26	.	.	PUNCT
iajs-2676	8	1	1.introduction	1.introduction	NUM
iajs-2676	8	2	kuratowski	kuratowski	NOUN
iajs-2676	8	3	[	[	X
iajs-2676	8	4	1	1	NUM
iajs-2676	8	5	]	]	PUNCT
iajs-2676	8	6	presented	present	VERB
iajs-2676	8	7	in	in	ADP
iajs-2676	8	8	1933	1933	NUM
iajs-2676	8	9	.	.	PUNCT
iajs-2676	9	1	a	a	DET
iajs-2676	9	2	collection	collection	NOUN
iajs-2676	9	3	ẛ	ẛ	X
iajs-2676	9	4	⊂	⊂	X
iajs-2676	9	5	ƥ(ҳ	ƥ(ҳ	PROPN
iajs-2676	9	6	)	)	PUNCT
iajs-2676	9	7	is	be	AUX
iajs-2676	9	8	claims	claim	NOUN
iajs-2676	9	9	an	an	DET
iajs-2676	9	10	ideal	ideal	NOUN
iajs-2676	9	11	on	on	ADP
iajs-2676	9	12	a	a	DET
iajs-2676	9	13	nonempty	nonempty	ADJ
iajs-2676	9	14	set	set	VERB
iajs-2676	9	15	ҳ	ҳ	NOUN
iajs-2676	9	16	when	when	SCONJ
iajs-2676	9	17	the	the	DET
iajs-2676	9	18	following	follow	VERB
iajs-2676	9	19	two	two	NUM
iajs-2676	9	20	conditions	condition	NOUN
iajs-2676	9	21	are	be	AUX
iajs-2676	9	22	satisfied	satisfied	ADJ
iajs-2676	9	23	;	;	PUNCT
iajs-2676	9	24	(	(	PUNCT
iajs-2676	9	25	i	i	NOUN
iajs-2676	9	26	)	)	PUNCT
iajs-2676	9	27	ƀ	ƀ	PROPN
iajs-2676	9	28	∈	∈	PROPN
iajs-2676	9	29	ẛ	ẛ	NOUN
iajs-2676	9	30	whenever	whenever	SCONJ
iajs-2676	9	31	ƀ	ƀ	X
iajs-2676	9	32	⊂	⊂	X
iajs-2676	9	33	ⱥ	ⱥ	X
iajs-2676	9	34	and	and	CCONJ
iajs-2676	9	35	ⱥ	ⱥ	PROPN
iajs-2676	9	36	∈	∈	PROPN
iajs-2676	9	37	ẛ	ẛ	SYM
iajs-2676	9	38	(	(	PUNCT
iajs-2676	9	39	ii	ii	NOUN
iajs-2676	9	40	)	)	PUNCT
iajs-2676	9	41	ⱥ	ⱥ	PROPN
iajs-2676	9	42	∪	∪	VERB
iajs-2676	9	43	ƀ	ƀ	PROPN
iajs-2676	9	44	∈	∈	PROPN
iajs-2676	9	45	ẛ	ẛ	NOUN
iajs-2676	9	46	whenever	whenever	SCONJ
iajs-2676	9	47	ⱥ	ⱥ	X
iajs-2676	9	48	and	and	CCONJ
iajs-2676	9	49	ƀ	ƀ	PRON
iajs-2676	9	50	∈	∈	PROPN
iajs-2676	9	51	ẛ	ẛ	X
iajs-2676	9	52	.	.	PUNCT
iajs-2676	10	1	vaidyanathaswamy	vaidyanathaswamy	NOUN
iajs-2676	11	1	[	[	X
iajs-2676	11	2	2	2	NUM
iajs-2676	11	3	]	]	PUNCT
iajs-2676	11	4	.	.	PUNCT
iajs-2676	12	1	provides	provide	VERB
iajs-2676	12	2	the	the	DET
iajs-2676	12	3	concept	concept	NOUN
iajs-2676	12	4	of	of	ADP
iajs-2676	12	5	ideal	ideal	ADJ
iajs-2676	12	6	spaces	space	NOUN
iajs-2676	12	7	by	by	ADP
iajs-2676	12	8	giving	give	VERB
iajs-2676	12	9	the	the	DET
iajs-2676	12	10	set	set	NOUN
iajs-2676	12	11	operator	operator	NOUN
iajs-2676	12	12	(	(	PUNCT
iajs-2676	12	13	)	)	PUNCT
iajs-2676	12	14	∗	∗	NOUN
iajs-2676	12	15	:	:	PUNCT
iajs-2676	12	16	ƥ(ҳ	ƥ(ҳ	NUM
iajs-2676	12	17	)	)	PUNCT
iajs-2676	12	18	⟶	⟶	NOUN
iajs-2676	12	19	ƥ(ҳ	ƥ(ҳ	PROPN
iajs-2676	12	20	)	)	PUNCT
iajs-2676	12	21	.	.	PUNCT
iajs-2676	13	1	which	which	PRON
iajs-2676	13	2	is	be	AUX
iajs-2676	13	3	local	local	ADJ
iajs-2676	13	4	function	function	NOUN
iajs-2676	13	5	,	,	PUNCT
iajs-2676	13	6	so	so	CCONJ
iajs-2676	13	7	the	the	DET
iajs-2676	13	8	topological	topological	ADJ
iajs-2676	13	9	spaces	space	NOUN
iajs-2676	13	10	were	be	AUX
iajs-2676	13	11	circulated	circulate	VERB
iajs-2676	13	12	,	,	PUNCT
iajs-2676	13	13	claims	claim	VERB
iajs-2676	13	14	ideal	ideal	ADJ
iajs-2676	13	15	space	space	NOUN
iajs-2676	13	16	and	and	CCONJ
iajs-2676	13	17	symbolize	symbolize	NOUN
iajs-2676	13	18	by	by	ADP
iajs-2676	13	19	(	(	PUNCT
iajs-2676	13	20	ҳ	ҳ	NUM
iajs-2676	13	21	‚	‚	NUM
iajs-2676	13	22	ṭ	ṭ	PART
iajs-2676	13	23	‚	‚	NUM
iajs-2676	13	24	ẛ	ẛ	NOUN
iajs-2676	13	25	)	)	PUNCT
iajs-2676	13	26	,	,	PUNCT
iajs-2676	14	1	[	[	X
iajs-2676	14	2	3	3	NUM
iajs-2676	14	3	-	-	SYM
iajs-2676	14	4	5	5	NUM
iajs-2676	14	5	]	]	PUNCT
iajs-2676	14	6	.	.	PUNCT
iajs-2676	15	1	mashhour	mashhour	PROPN
iajs-2676	15	2	,	,	PUNCT
iajs-2676	15	3	abd	abd	PROPN
iajs-2676	15	4	elmonsef	elmonsef	NOUN
iajs-2676	15	5	and	and	CCONJ
iajs-2676	15	6	eldeeb	eldeeb	PROPN
iajs-2676	15	7	,	,	PUNCT
iajs-2676	15	8	present	present	VERB
iajs-2676	15	9	the	the	DET
iajs-2676	15	10	concept	concept	NOUN
iajs-2676	15	11	of	of	ADP
iajs-2676	15	12	"	"	PUNCT
iajs-2676	15	13	pre‐	pre‐	NOUN
iajs-2676	15	14	open	open	ADJ
iajs-2676	15	15	set	set	NOUN
iajs-2676	15	16	"	"	PUNCT
iajs-2676	15	17	,	,	PUNCT
iajs-2676	15	18	a	a	DET
iajs-2676	15	19	set	set	NOUN
iajs-2676	15	20	ⱥ	ⱥ	X
iajs-2676	15	21	in	in	ADP
iajs-2676	15	22	(	(	PUNCT
iajs-2676	15	23	ҳ	ҳ	NOUN
iajs-2676	15	24	‚	‚	NUM
iajs-2676	15	25	ṭ	ṭ	NOUN
iajs-2676	15	26	)	)	PUNCT
iajs-2676	15	27	is	be	AUX
iajs-2676	15	28	a	a	DET
iajs-2676	15	29	pre	pre	NOUN
iajs-2676	15	30	-	-	ADJ
iajs-2676	15	31	open	open	ADJ
iajs-2676	15	32	when	when	SCONJ
iajs-2676	15	33	ⱥ	ⱥ	X
iajs-2676	15	34	⊆	⊆	NUM
iajs-2676	15	35	cl(int(ⱥ	cl(int(ⱥ	PROPN
iajs-2676	15	36	)	)	PUNCT
iajs-2676	15	37	)	)	PUNCT
iajs-2676	16	1	[	[	X
iajs-2676	16	2	6	6	NUM
iajs-2676	16	3	]	]	PUNCT
iajs-2676	16	4	.	.	PUNCT
iajs-2676	17	1	many	many	ADJ
iajs-2676	17	2	researchers	researcher	NOUN
iajs-2676	17	3	at	at	ADP
iajs-2676	17	4	that	that	DET
iajs-2676	17	5	time	time	NOUN
iajs-2676	17	6	used	use	VERB
iajs-2676	17	7	this	this	DET
iajs-2676	17	8	concept	concept	NOUN
iajs-2676	17	9	in	in	ADP
iajs-2676	17	10	their	their	PRON
iajs-2676	17	11	studies	study	NOUN
iajs-2676	17	12	[	[	X
iajs-2676	17	13	7	7	NUM
iajs-2676	17	14	-	-	SYM
iajs-2676	17	15	9	9	NUM
iajs-2676	17	16	]	]	PUNCT
iajs-2676	17	17	.	.	PUNCT
iajs-2676	18	1	also	also	ADV
iajs-2676	18	2	,	,	PUNCT
iajs-2676	18	3	ahmed	ahme	VERB
iajs-2676	18	4	and	and	CCONJ
iajs-2676	18	5	esmaeel	esmaeel	VERB
iajs-2676	18	6	[	[	X
iajs-2676	18	7	10	10	NUM
iajs-2676	18	8	]	]	PUNCT
iajs-2676	18	9	,	,	PUNCT
iajs-2676	18	10	use	use	VERB
iajs-2676	18	11	this	this	DET
iajs-2676	18	12	concept	concept	NOUN
iajs-2676	18	13	to	to	PART
iajs-2676	18	14	provide	provide	VERB
iajs-2676	18	15	an	an	DET
iajs-2676	18	16	ẛ	ẛ	NOUN
iajs-2676	18	17	‐	‐	NOUN
iajs-2676	18	18	pre	pre	NOUN
iajs-2676	18	19	‐	‐	ADP
iajs-2676	18	20	g	g	NOUN
iajs-2676	18	21	‐	‐	ADP
iajs-2676	18	22	closed	closed	ADJ
iajs-2676	18	23	set	set	NOUN
iajs-2676	18	24	(	(	PUNCT
iajs-2676	18	25	symbolizes	symbolize	VERB
iajs-2676	18	26	it	it	PRON
iajs-2676	18	27	,	,	PUNCT
iajs-2676	18	28	ẛpg	ẛpg	ADJ
iajs-2676	18	29	‐	‐	NOUN
iajs-2676	18	30	closed	closed	ADJ
iajs-2676	18	31	)	)	PUNCT
iajs-2676	18	32	.	.	PUNCT
iajs-2676	19	1	if	if	SCONJ
iajs-2676	19	2	ⱥ‐	ⱥ‐	PROPN
iajs-2676	19	3	џ	џ	PROPN
iajs-2676	19	4	∈	∈	PROPN
iajs-2676	19	5	ẛ	ẛ	NOUN
iajs-2676	19	6	and	and	CCONJ
iajs-2676	19	7	џ	џ	PROPN
iajs-2676	19	8	is	be	AUX
iajs-2676	19	9	a	a	DET
iajs-2676	19	10	pre	pre	ADJ
iajs-2676	19	11	-	-	ADJ
iajs-2676	19	12	open	open	ADJ
iajs-2676	19	13	set	set	NOUN
iajs-2676	19	14	,	,	PUNCT
iajs-2676	19	15	implies	imply	VERB
iajs-2676	19	16	to	to	ADP
iajs-2676	19	17	cl(a	cl(a	NOUN
iajs-2676	19	18	)	)	PUNCT
iajs-2676	19	19	‐	‐	ADP
iajs-2676	19	20	џ	џ	PROPN
iajs-2676	19	21	∈	∈	PROPN
iajs-2676	19	22	ẛ	ẛ	NOUN
iajs-2676	19	23	,	,	PUNCT
iajs-2676	19	24	so	so	ADV
iajs-2676	19	25	a	a	DET
iajs-2676	19	26	set	set	NOUN
iajs-2676	19	27	ⱥ	ⱥ	X
iajs-2676	19	28	in	in	ADP
iajs-2676	19	29	(	(	PUNCT
iajs-2676	19	30	ҳ	ҳ	NOUN
iajs-2676	19	31	‚	‚	NUM
iajs-2676	19	32	ṭ	ṭ	SYM
iajs-2676	19	33	‚	‚	NUM
iajs-2676	19	34	ẛ	ẛ	NOUN
iajs-2676	19	35	)	)	PUNCT
iajs-2676	19	36	is	be	AUX
iajs-2676	19	37	ẛpg	ẛpg	ADJ
iajs-2676	19	38	‐	‐	ADV
iajs-2676	19	39	closed	closed	ADJ
iajs-2676	19	40	.	.	PUNCT
iajs-2676	20	1	and	and	CCONJ
iajs-2676	20	2	the	the	DET
iajs-2676	20	3	set	set	NOUN
iajs-2676	20	4	ⱥ	ⱥ	X
iajs-2676	20	5	in	in	ADP
iajs-2676	20	6	ҳ	ҳ	PROPN
iajs-2676	20	7	claims	claim	VERB
iajs-2676	20	8	ẛ	ẛ	ADP
iajs-2676	20	9	‐	‐	NOUN
iajs-2676	20	10	pre	pre	NOUN
iajs-2676	20	11	‐	‐	ADV
iajs-2676	20	12	g	g	NOUN
iajs-2676	20	13	‐	‐	NOUN
iajs-2676	20	14	open	open	ADJ
iajs-2676	20	15	set	set	NOUN
iajs-2676	20	16	(	(	PUNCT
iajs-2676	20	17	symbolizes	symbolize	VERB
iajs-2676	20	18	it	it	PRON
iajs-2676	20	19	,	,	PUNCT
iajs-2676	20	20	ẛpg	ẛpg	ADJ
iajs-2676	20	21	‐	‐	NOUN
iajs-2676	20	22	open	open	ADJ
iajs-2676	20	23	)	)	PUNCT
iajs-2676	20	24	,	,	PUNCT
iajs-2676	20	25	if	if	SCONJ
iajs-2676	20	26	ҳ	ҳ	NOUN
iajs-2676	20	27	‐	‐	VERB
iajs-2676	20	28	ⱥ	ⱥ	NOUN
iajs-2676	20	29	is	be	AUX
iajs-2676	20	30	ẛpg	ẛpg	PROPN
iajs-2676	20	31	‐	‐	NOUN
iajs-2676	20	32	closed	closed	ADJ
iajs-2676	20	33	.	.	PUNCT
iajs-2676	21	1	the	the	DET
iajs-2676	21	2	collection	collection	NOUN
iajs-2676	21	3	of	of	ADP
iajs-2676	21	4	all	all	DET
iajs-2676	21	5	ẛpg	ẛpg	ADJ
iajs-2676	21	6	‐	‐	NOUN
iajs-2676	21	7	closed	closed	ADJ
iajs-2676	21	8	sets	set	NOUN
iajs-2676	21	9	(	(	PUNCT
iajs-2676	21	10	respectively	respectively	ADV
iajs-2676	21	11	,	,	PUNCT
iajs-2676	21	12	ẛpg	ẛpg	ADJ
iajs-2676	21	13	‐	‐	ADJ
iajs-2676	21	14	open	open	ADJ
iajs-2676	21	15	sets	set	NOUN
iajs-2676	21	16	)	)	PUNCT
iajs-2676	21	17	in	in	ADP
iajs-2676	21	18	(	(	PUNCT
iajs-2676	21	19	ҳ	ҳ	NOUN
iajs-2676	21	20	‚	‚	NUM
iajs-2676	21	21	ṭ	ṭ	SYM
iajs-2676	21	22	‚	‚	NUM
iajs-2676	21	23	ẛ	ẛ	NOUN
iajs-2676	21	24	)	)	PUNCT
iajs-2676	21	25	symbolizes	symbolize	VERB
iajs-2676	21	26	it	it	PRON
iajs-2676	21	27	ẛpg	ẛpg	ADJ
iajs-2676	21	28	‐	‐	ADP
iajs-2676	21	29	c(x	c(x	NOUN
iajs-2676	21	30	)	)	PUNCT
iajs-2676	21	31	(	(	PUNCT
iajs-2676	21	32	respectively	respectively	ADV
iajs-2676	21	33	,	,	PUNCT
iajs-2676	21	34	ẛpg	ẛpg	NOUN
iajs-2676	21	35	‐	‐	ADP
iajs-2676	21	36	o(x	o(x	PROPN
iajs-2676	21	37	)	)	PUNCT
iajs-2676	21	38	)	)	PUNCT
iajs-2676	21	39	.	.	PUNCT
iajs-2676	22	1	and	and	CCONJ
iajs-2676	22	2	ẛpg	ẛpg	NOUN
iajs-2676	22	3	‐	‐	ADV
iajs-2676	22	4	o(x	o(x	PROPN
iajs-2676	22	5	)	)	PUNCT
iajs-2676	22	6	is	be	AUX
iajs-2676	22	7	finer	fine	ADJ
iajs-2676	22	8	than	than	ADP
iajs-2676	22	9	ṭ	ṭ	PROPN
iajs-2676	22	10	.	.	PUNCT
iajs-2676	23	1	a	a	DET
iajs-2676	23	2	space	space	NOUN
iajs-2676	23	3	(	(	PUNCT
iajs-2676	23	4	ҳ	ҳ	NOUN
iajs-2676	23	5	,	,	PUNCT
iajs-2676	23	6	ṭ	ṭ	NOUN
iajs-2676	23	7	,	,	PUNCT
iajs-2676	23	8	ẛ	ẛ	NOUN
iajs-2676	23	9	)	)	PUNCT
iajs-2676	23	10	is	be	AUX
iajs-2676	23	11	namely	namely	ADV
iajs-2676	23	12	ẛpg	ẛpg	ADJ
iajs-2676	23	13	‐ṭ0‐space	‐ṭ0‐space	NOUN
iajs-2676	23	14	(	(	PUNCT
iajs-2676	23	15	respectively	respectively	ADV
iajs-2676	23	16	ẛpg	ẛpg	ADJ
iajs-2676	23	17	‐ṭ1‐space	‐ṭ1‐space	NOUN
iajs-2676	23	18	,	,	PUNCT
iajs-2676	23	19	ẛpg	ẛpg	ADJ
iajs-2676	23	20	‐ṭ2‐space	‐ṭ2‐space	NOUN
iajs-2676	23	21	)	)	PUNCT
iajs-2676	23	22	,	,	PUNCT
iajs-2676	23	23	if	if	SCONJ
iajs-2676	23	24	for	for	ADP
iajs-2676	23	25	each	each	DET
iajs-2676	23	26	element	element	NOUN
iajs-2676	23	27	r1	r1	NOUN
iajs-2676	23	28	≠	≠	ADJ
iajs-2676	23	29	r2	r2	NOUN
iajs-2676	23	30	,	,	PUNCT
iajs-2676	23	31	there	there	PRON
iajs-2676	23	32	is	be	VERB
iajs-2676	23	33	an	an	DET
iajs-2676	23	34	ẛpg‐open	ẛpg‐open	ADJ
iajs-2676	23	35	set	set	NOUN
iajs-2676	23	36	containing	contain	VERB
iajs-2676	23	37	only	only	ADV
iajs-2676	23	38	one	one	NUM
iajs-2676	23	39	of	of	ADP
iajs-2676	23	40	them	they	PRON
iajs-2676	23	41	(	(	PUNCT
iajs-2676	23	42	respectively	respectively	ADV
iajs-2676	23	43	there	there	PRON
iajs-2676	23	44	is	be	VERB
iajs-2676	23	45	an	an	DET
iajs-2676	23	46	ibn	ibn	PROPN
iajs-2676	23	47	al	al	PROPN
iajs-2676	23	48	haitham	haitham	PROPN
iajs-2676	23	49	journal	journal	PROPN
iajs-2676	23	50	for	for	ADP
iajs-2676	23	51	pure	pure	ADJ
iajs-2676	23	52	and	and	CCONJ
iajs-2676	23	53	applied	apply	VERB
iajs-2676	23	54	science	science	NOUN
iajs-2676	23	55	journal	journal	PROPN
iajs-2676	23	56	homepage	homepage	NOUN
iajs-2676	23	57	:	:	PUNCT
iajs-2676	23	58	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2676	23	59	doi	doi	NOUN
iajs-2676	23	60	:	:	PUNCT
iajs-2676	23	61	10.30526/34.3.2676	10.30526/34.3.2676	NUM
iajs-2676	23	62	article	article	NOUN
iajs-2676	23	63	history	history	NOUN
iajs-2676	23	64	:	:	PUNCT
iajs-2676	23	65	received	receive	VERB
iajs-2676	23	66	5	5	NUM
iajs-2676	23	67	november	november	PROPN
iajs-2676	23	68	2020	2020	NUM
iajs-2676	23	69	,	,	PUNCT
iajs-2676	23	70	accepted	accept	VERB
iajs-2676	23	71	6	6	NUM
iajs-2676	23	72	december	december	PROPN
iajs-2676	23	73	2020	2020	NUM
iajs-2676	23	74	,	,	PUNCT
iajs-2676	23	75	published	publish	VERB
iajs-2676	23	76	in	in	ADP
iajs-2676	23	77	july	july	PROPN
iajs-2676	23	78	2021	2021	NUM
iajs-2676	23	79	.	.	PUNCT
iajs-2676	24	1	mailto:ranamumosa@yahoo.com	mailto:ranamumosa@yahoo.com	X
iajs-2676	25	1	mailto:ahm7a7a@gmail.com	mailto:ahm7a7a@gmail.com	PROPN
iajs-2676	26	1	ibn	ibn	PROPN
iajs-2676	26	2	al	al	PROPN
iajs-2676	26	3	-	-	PUNCT
iajs-2676	26	4	haitham	haitham	PROPN
iajs-2676	26	5	jour	jour	X
iajs-2676	26	6	.	.	PROPN
iajs-2676	26	7	for	for	ADP
iajs-2676	26	8	pure	pure	ADJ
iajs-2676	26	9	&	&	CCONJ
iajs-2676	26	10	appl	appl	PROPN
iajs-2676	26	11	.	.	PUNCT
iajs-2676	27	1	sci	sci	PROPN
iajs-2676	27	2	.	.	PROPN
iajs-2676	28	1	34(3)2021	34(3)2021	NUM
iajs-2676	28	2	40	40	NUM
iajs-2676	28	3	ẛpg‐open	ẛpg‐open	ADJ
iajs-2676	28	4	sets	set	NOUN
iajs-2676	28	5	џ1and	џ1and	PROPN
iajs-2676	28	6	џ2	џ2	NOUN
iajs-2676	28	7	,	,	PUNCT
iajs-2676	28	8	satisfies	satisfy	VERB
iajs-2676	28	9	r1	r1	PROPN
iajs-2676	28	10	∈	∈	PROPN
iajs-2676	28	11	(	(	PUNCT
iajs-2676	28	12	џ1‐	џ1‐	NOUN
iajs-2676	28	13	џ2	џ2	ADV
iajs-2676	28	14	)	)	PUNCT
iajs-2676	28	15	and	and	CCONJ
iajs-2676	28	16	r2	r2	PROPN
iajs-2676	28	17	∈	∈	PROPN
iajs-2676	28	18	(	(	PUNCT
iajs-2676	28	19	џ2‐	џ2‐	NOUN
iajs-2676	28	20	џ1	џ1	NOUN
iajs-2676	28	21	)	)	PUNCT
iajs-2676	28	22	,	,	PUNCT
iajs-2676	28	23	there	there	PRON
iajs-2676	28	24	is	be	VERB
iajs-2676	28	25	an	an	DET
iajs-2676	28	26	ẛpg‐open	ẛpg‐open	ADJ
iajs-2676	28	27	sets	set	NOUN
iajs-2676	28	28	џ1and	џ1and	PROPN
iajs-2676	28	29	џ2	џ2	NOUN
iajs-2676	28	30	,	,	PUNCT
iajs-2676	28	31	satisfies	satisfy	VERB
iajs-2676	28	32	r1	r1	PROPN
iajs-2676	28	33	∈	∈	PROPN
iajs-2676	28	34	џ1	џ1	NOUN
iajs-2676	28	35	and	and	CCONJ
iajs-2676	28	36	r2	r2	PROPN
iajs-2676	28	37	∈	∈	PROPN
iajs-2676	28	38	џ2	џ2	VERB
iajs-2676	28	39	such	such	ADJ
iajs-2676	28	40	that	that	DET
iajs-2676	28	41	џ1	џ1	NOUN
iajs-2676	28	42	∩	∩	NOUN
iajs-2676	28	43	џ2	џ2	NOUN
iajs-2676	28	44	=	=	PUNCT
iajs-2676	28	45	∅)[11	∅)[11	PROPN
iajs-2676	28	46	]	]	PUNCT
iajs-2676	28	47	.	.	PUNCT
iajs-2676	29	1	the	the	DET
iajs-2676	29	2	main	main	ADJ
iajs-2676	29	3	point	point	NOUN
iajs-2676	29	4	of	of	ADP
iajs-2676	29	5	this	this	DET
iajs-2676	29	6	article	article	NOUN
iajs-2676	29	7	is	be	AUX
iajs-2676	29	8	to	to	PART
iajs-2676	29	9	provide	provide	VERB
iajs-2676	29	10	new	new	ADJ
iajs-2676	29	11	types	type	NOUN
iajs-2676	29	12	of	of	ADP
iajs-2676	29	13	games	game	NOUN
iajs-2676	29	14	in	in	ADP
iajs-2676	29	15	ideal	ideal	ADJ
iajs-2676	29	16	spaces	space	NOUN
iajs-2676	29	17	by	by	ADP
iajs-2676	29	18	using	use	VERB
iajs-2676	29	19	the	the	DET
iajs-2676	29	20	concept	concept	NOUN
iajs-2676	29	21	of	of	ADP
iajs-2676	29	22	ẛpg	ẛpg	ADJ
iajs-2676	29	23	‐	‐	NOUN
iajs-2676	29	24	open	open	ADJ
iajs-2676	29	25	set	set	NOUN
iajs-2676	29	26	.	.	PUNCT
iajs-2676	30	1	2	2	X
iajs-2676	30	2	.	.	X
iajs-2676	30	3	ẛ	ẛ	NOUN
iajs-2676	30	4	‐	‐	NOUN
iajs-2676	30	5	𝐏𝐫𝐞‐	𝐏𝐫𝐞‐	PROPN
iajs-2676	30	6	𝐠‐	𝐠‐	PROPN
iajs-2676	30	7	𝐨𝐩𝐞𝐧𝐧𝐞𝐬𝐬	𝐨𝐩𝐞𝐧𝐧𝐞𝐬𝐬	PROPN
iajs-2676	30	8	𝐨𝐧	𝐨𝐧	ADP
iajs-2676	30	9	𝐆𝐚𝐦𝐞.	𝐆𝐚𝐦𝐞.	PROPN
iajs-2676	30	10	this	this	DET
iajs-2676	30	11	portion	portion	NOUN
iajs-2676	30	12	is	be	AUX
iajs-2676	30	13	to	to	PART
iajs-2676	30	14	provide	provide	VERB
iajs-2676	30	15	new	new	ADJ
iajs-2676	30	16	types	type	NOUN
iajs-2676	30	17	of	of	ADP
iajs-2676	30	18	game	game	NOUN
iajs-2676	30	19	by	by	ADP
iajs-2676	30	20	using	use	VERB
iajs-2676	30	21	the	the	DET
iajs-2676	30	22	concept	concept	NOUN
iajs-2676	30	23	of	of	ADP
iajs-2676	30	24	ẛpg	ẛpg	ADJ
iajs-2676	30	25	‐	‐	ADJ
iajs-2676	30	26	openness	openness	NOUN
iajs-2676	30	27	,	,	PUNCT
iajs-2676	30	28	where	where	SCONJ
iajs-2676	30	29	the	the	DET
iajs-2676	30	30	relationships	relationship	NOUN
iajs-2676	30	31	between	between	ADP
iajs-2676	30	32	them	they	PRON
iajs-2676	30	33	are	be	AUX
iajs-2676	30	34	discussed	discuss	VERB
iajs-2676	30	35	.	.	PUNCT
iajs-2676	31	1	in	in	ADP
iajs-2676	31	2	the	the	DET
iajs-2676	31	3	theory	theory	NOUN
iajs-2676	31	4	of	of	ADP
iajs-2676	31	5	game	game	NOUN
iajs-2676	31	6	,	,	PUNCT
iajs-2676	31	7	there	there	PRON
iajs-2676	31	8	is	be	VERB
iajs-2676	31	9	always	always	ADV
iajs-2676	31	10	at	at	ADV
iajs-2676	31	11	least	least	ADV
iajs-2676	31	12	two	two	NUM
iajs-2676	31	13	participants	participant	NOUN
iajs-2676	31	14	called	call	VERB
iajs-2676	31	15	players	player	NOUN
iajs-2676	31	16	ҏ1	ҏ1	ADJ
iajs-2676	31	17	and	and	CCONJ
iajs-2676	31	18	ҏ2	ҏ2	NOUN
iajs-2676	31	19	.	.	PUNCT
iajs-2676	32	1	denoted	denote	VERB
iajs-2676	32	2	for	for	ADP
iajs-2676	32	3	player	player	NOUN
iajs-2676	32	4	one	one	NUM
iajs-2676	32	5	by	by	ADP
iajs-2676	32	6	ҏ1	ҏ1	NOUN
iajs-2676	32	7	and	and	CCONJ
iajs-2676	32	8	symbolizes	symbolize	VERB
iajs-2676	32	9	for	for	ADP
iajs-2676	32	10	player	player	NOUN
iajs-2676	32	11	two	two	NUM
iajs-2676	32	12	by	by	ADP
iajs-2676	32	13	ҏ2	ҏ2	NOUN
iajs-2676	32	14	and	and	CCONJ
iajs-2676	32	15	ģ	ģ	PRON
iajs-2676	32	16	be	be	VERB
iajs-2676	32	17	a	a	DET
iajs-2676	32	18	game	game	NOUN
iajs-2676	32	19	between	between	ADP
iajs-2676	32	20	two	two	NUM
iajs-2676	32	21	players	player	NOUN
iajs-2676	32	22	ҏ1and	ҏ1and	NUM
iajs-2676	32	23	ҏ2	ҏ2	PROPN
iajs-2676	32	24	.	.	PUNCT
iajs-2676	33	1	the	the	DET
iajs-2676	33	2	set	set	NOUN
iajs-2676	33	3	of	of	ADP
iajs-2676	33	4	choices	choice	NOUN
iajs-2676	33	5	i	i	PRON
iajs-2676	33	6	1	1	NUM
iajs-2676	33	7	,	,	PUNCT
iajs-2676	33	8	i	i	PRON
iajs-2676	33	9	2	2	NUM
iajs-2676	33	10	,	,	PUNCT
iajs-2676	33	11	i	i	PRON
iajs-2676	33	12	3	3	NUM
iajs-2676	33	13	,	,	PUNCT
iajs-2676	33	14	……	……	NOUN
iajs-2676	33	15	,	,	PUNCT
iajs-2676	33	16	i	i	PRON
iajs-2676	33	17	ṃ	ṃ	VERB
iajs-2676	33	18	for	for	ADP
iajs-2676	33	19	each	each	DET
iajs-2676	33	20	player	player	NOUN
iajs-2676	33	21	.	.	PUNCT
iajs-2676	34	1	these	these	DET
iajs-2676	34	2	choices	choice	NOUN
iajs-2676	34	3	are	be	AUX
iajs-2676	34	4	claims	claim	NOUN
iajs-2676	34	5	round	round	ADJ
iajs-2676	34	6	,	,	PUNCT
iajs-2676	34	7	steps	step	NOUN
iajs-2676	34	8	or	or	CCONJ
iajs-2676	34	9	options	option	NOUN
iajs-2676	34	10	.	.	PUNCT
iajs-2676	35	1	in	in	ADP
iajs-2676	35	2	this	this	DET
iajs-2676	35	3	research	research	NOUN
iajs-2676	35	4	with	with	ADP
iajs-2676	35	5	games	game	NOUN
iajs-2676	35	6	of	of	ADP
iajs-2676	35	7	type	type	NOUN
iajs-2676	35	8	"	"	PUNCT
iajs-2676	35	9	two‐	two‐	PROPN
iajs-2676	35	10	zero‐	zero‐	X
iajs-2676	35	11	sum	sum	NOUN
iajs-2676	35	12	games	game	NOUN
iajs-2676	35	13	"	"	PUNCT
iajs-2676	35	14	.	.	PUNCT
iajs-2676	36	1	the	the	DET
iajs-2676	36	2	games	game	NOUN
iajs-2676	36	3	will	will	AUX
iajs-2676	36	4	be	be	AUX
iajs-2676	36	5	defined	define	VERB
iajs-2676	36	6	between	between	ADP
iajs-2676	36	7	two	two	NUM
iajs-2676	36	8	players	player	NOUN
iajs-2676	36	9	and	and	CCONJ
iajs-2676	36	10	the	the	DET
iajs-2676	36	11	payoff	payoff	NOUN
iajs-2676	36	12	for	for	ADP
iajs-2676	36	13	any	any	DET
iajs-2676	36	14	one	one	NUM
iajs-2676	36	15	of	of	ADP
iajs-2676	36	16	them	they	PRON
iajs-2676	36	17	equals	equal	VERB
iajs-2676	36	18	to	to	ADP
iajs-2676	36	19	the	the	DET
iajs-2676	36	20	loose	loose	NOUN
iajs-2676	36	21	of	of	ADP
iajs-2676	36	22	other	other	ADJ
iajs-2676	36	23	player	player	NOUN
iajs-2676	37	1	[	[	X
iajs-2676	37	2	11	11	NUM
iajs-2676	37	3	-	-	SYM
iajs-2676	37	4	13	13	NUM
iajs-2676	37	5	]	]	PUNCT
iajs-2676	37	6	a	a	DET
iajs-2676	37	7	function	function	NOUN
iajs-2676	37	8	s	s	PART
iajs-2676	37	9	is	be	AUX
iajs-2676	37	10	a	a	DET
iajs-2676	37	11	strategy	strategy	NOUN
iajs-2676	37	12	for	for	ADP
iajs-2676	37	13	ҏ1	ҏ1	ADJ
iajs-2676	37	14	as	as	SCONJ
iajs-2676	37	15	follows	follow	VERB
iajs-2676	37	16	s	s	NOUN
iajs-2676	37	17	=	=	PUNCT
iajs-2676	37	18	{	{	PUNCT
iajs-2676	37	19	sṃ	sṃ	NOUN
iajs-2676	37	20	:	:	PUNCT
iajs-2676	37	21	ⱥṃ	ⱥṃ	PROPN
iajs-2676	37	22	‐1	‐1	NUM
iajs-2676	37	23	×	×	NOUN
iajs-2676	37	24	ƀṃ	ƀṃ	INTJ
iajs-2676	37	25	‐1	‐1	NUM
iajs-2676	37	26	→	→	SYM
iajs-2676	37	27	ⱥ	ⱥ	X
iajs-2676	37	28	ṃ	ṃ	NOUN
iajs-2676	37	29	,	,	PUNCT
iajs-2676	37	30	such	such	ADJ
iajs-2676	37	31	that	that	SCONJ
iajs-2676	37	32	(	(	PUNCT
iajs-2676	37	33	ⱥ1	ⱥ1	NOUN
iajs-2676	37	34	,	,	PUNCT
iajs-2676	37	35	ƀ1	ƀ1	ADJ
iajs-2676	37	36	,	,	PUNCT
iajs-2676	37	37	‐	‐	ADV
iajs-2676	37	38	‐	‐	ADV
iajs-2676	37	39	‐	‐	ADV
iajs-2676	37	40	‐	‐	ADV
iajs-2676	37	41	‐	‐	NOUN
iajs-2676	37	42	‐	‐	NOUN
iajs-2676	37	43	,	,	PUNCT
iajs-2676	37	44	ⱥṃ‐1	ⱥṃ‐1	NOUN
iajs-2676	37	45	,	,	PUNCT
iajs-2676	37	46	ƀṃ	ƀṃ	NUM
iajs-2676	37	47	‐1	‐1	NUM
iajs-2676	37	48	)	)	PUNCT
iajs-2676	38	1	=	=	SYM
iajs-2676	38	2	ⱥṃ	ⱥṃ	PROPN
iajs-2676	38	3	}	}	PUNCT
iajs-2676	38	4	similarly	similarly	ADV
iajs-2676	38	5	a	a	DET
iajs-2676	38	6	function	function	NOUN
iajs-2676	38	7	t	t	NOUN
iajs-2676	38	8	is	be	AUX
iajs-2676	38	9	a	a	DET
iajs-2676	38	10	strategy	strategy	NOUN
iajs-2676	38	11	for	for	ADP
iajs-2676	38	12	ҏ2	ҏ2	NOUN
iajs-2676	38	13	as	as	SCONJ
iajs-2676	38	14	follows	follow	VERB
iajs-2676	38	15	t	t	PROPN
iajs-2676	38	16	=	=	PUNCT
iajs-2676	38	17	{	{	PUNCT
iajs-2676	38	18	tṃ	tṃ	INTJ
iajs-2676	38	19	;	;	PUNCT
iajs-2676	38	20	ⱥ	ⱥ	X
iajs-2676	38	21	ṃ	ṃ	X
iajs-2676	38	22	×	×	NOUN
iajs-2676	38	23	ƀṃ	ƀṃ	INTJ
iajs-2676	38	24	‐1	‐1	NUM
iajs-2676	39	1	→	→	SYM
iajs-2676	39	2	b	b	X
iajs-2676	39	3	ṃ	ṃ	NOUN
iajs-2676	39	4	,	,	PUNCT
iajs-2676	39	5	such	such	ADJ
iajs-2676	39	6	that	that	SCONJ
iajs-2676	39	7	(	(	PUNCT
iajs-2676	39	8	ⱥ1	ⱥ1	NOUN
iajs-2676	39	9	,	,	PUNCT
iajs-2676	39	10	ƀ1	ƀ1	ADJ
iajs-2676	39	11	,	,	PUNCT
iajs-2676	39	12	‐	‐	ADV
iajs-2676	39	13	‐	‐	ADV
iajs-2676	39	14	‐	‐	ADV
iajs-2676	39	15	‐	‐	ADV
iajs-2676	39	16	‐	‐	NOUN
iajs-2676	39	17	‐	‐	NOUN
iajs-2676	39	18	,	,	PUNCT
iajs-2676	39	19	ⱥṃ‐1	ⱥṃ‐1	NOUN
iajs-2676	39	20	,	,	PUNCT
iajs-2676	39	21	ƀṃ	ƀṃ	VERB
iajs-2676	39	22	‐1	‐1	NUM
iajs-2676	39	23	,	,	PUNCT
iajs-2676	39	24	ⱥṃ	ⱥṃ	PROPN
iajs-2676	39	25	)	)	PUNCT
iajs-2676	39	26	=	=	SYM
iajs-2676	39	27	bṃ	bṃ	NOUN
iajs-2676	39	28	}	}	PUNCT
iajs-2676	39	29	.	.	PUNCT
iajs-2676	40	1	[	[	X
iajs-2676	40	2	15	15	NUM
iajs-2676	40	3	]	]	PUNCT
iajs-2676	40	4	.	.	PUNCT
iajs-2676	41	1	in	in	ADP
iajs-2676	41	2	this	this	DET
iajs-2676	41	3	work	work	NOUN
iajs-2676	41	4	,	,	PUNCT
iajs-2676	41	5	we	we	PRON
iajs-2676	41	6	provide	provide	VERB
iajs-2676	41	7	the	the	DET
iajs-2676	41	8	winning	winning	NOUN
iajs-2676	41	9	and	and	CCONJ
iajs-2676	41	10	losing	lose	VERB
iajs-2676	41	11	strategy	strategy	NOUN
iajs-2676	41	12	for	for	ADP
iajs-2676	41	13	any	any	DET
iajs-2676	41	14	player	player	NOUN
iajs-2676	41	15	ҏ	ҏ	PROPN
iajs-2676	41	16	in	in	ADP
iajs-2676	41	17	the	the	DET
iajs-2676	41	18	game	game	NOUN
iajs-2676	41	19	ģ	ģ	PRON
iajs-2676	41	20	,	,	PUNCT
iajs-2676	41	21	if	if	SCONJ
iajs-2676	41	22	ҏ	ҏ	PROPN
iajs-2676	41	23	has	have	VERB
iajs-2676	41	24	a	a	DET
iajs-2676	41	25	winning	win	VERB
iajs-2676	41	26	strategy	strategy	NOUN
iajs-2676	41	27	in	in	ADP
iajs-2676	41	28	ģ	ģ	PROPN
iajs-2676	41	29	which	which	PRON
iajs-2676	41	30	symbolizes	symbolize	VERB
iajs-2676	41	31	(	(	PUNCT
iajs-2676	41	32	ҏ	ҏ	X
iajs-2676	41	33	↪	↪	PROPN
iajs-2676	41	34	ģ	ģ	PROPN
iajs-2676	41	35	)	)	PUNCT
iajs-2676	41	36	,	,	PUNCT
iajs-2676	41	37	if	if	SCONJ
iajs-2676	41	38	ҏ	ҏ	PRON
iajs-2676	41	39	does	do	AUX
iajs-2676	41	40	not	not	PART
iajs-2676	41	41	has	have	VERB
iajs-2676	41	42	a	a	DET
iajs-2676	41	43	winning	win	VERB
iajs-2676	41	44	strategy	strategy	NOUN
iajs-2676	41	45	symbolizes	symbolize	VERB
iajs-2676	41	46	(	(	PUNCT
iajs-2676	41	47	ҏ	ҏ	X
iajs-2676	41	48	↬	↬	PROPN
iajs-2676	41	49	ģ	ģ	PROPN
iajs-2676	41	50	)	)	PUNCT
iajs-2676	41	51	,	,	PUNCT
iajs-2676	41	52	if	if	SCONJ
iajs-2676	41	53	ҏ	ҏ	PROPN
iajs-2676	41	54	has	have	VERB
iajs-2676	41	55	a	a	DET
iajs-2676	41	56	losing	lose	VERB
iajs-2676	41	57	strategy	strategy	NOUN
iajs-2676	41	58	symbolizes	symbolize	VERB
iajs-2676	41	59	(	(	PUNCT
iajs-2676	41	60	ҏ	ҏ	X
iajs-2676	41	61	↩	↩	NOUN
iajs-2676	41	62	ģ	ģ	X
iajs-2676	41	63	)	)	PUNCT
iajs-2676	41	64	and	and	CCONJ
iajs-2676	41	65	if	if	SCONJ
iajs-2676	41	66	ҏ	ҏ	PRON
iajs-2676	41	67	does	do	AUX
iajs-2676	41	68	not	not	PART
iajs-2676	41	69	has	have	VERB
iajs-2676	41	70	a	a	DET
iajs-2676	41	71	losing	lose	VERB
iajs-2676	41	72	strategy	strategy	NOUN
iajs-2676	41	73	symbolizes	symbolize	VERB
iajs-2676	41	74	(	(	PUNCT
iajs-2676	41	75	ҏ	ҏ	X
iajs-2676	41	76	↫	↫	PROPN
iajs-2676	41	77	ģ	ģ	PROPN
iajs-2676	41	78	)	)	PUNCT
iajs-2676	41	79	.	.	PUNCT
iajs-2676	42	1	definition	definition	NOUN
iajs-2676	42	2	2.1	2.1	NUM
iajs-2676	42	3	.	.	PUNCT
iajs-2676	43	1	let	let	VERB
iajs-2676	43	2	(	(	PUNCT
iajs-2676	43	3	ҳ	ҳ	NOUN
iajs-2676	43	4	‚	‚	NUM
iajs-2676	43	5	ṭ	ṭ	NOUN
iajs-2676	43	6	)	)	PUNCT
iajs-2676	43	7	be	be	AUX
iajs-2676	43	8	a	a	DET
iajs-2676	43	9	topological	topological	ADJ
iajs-2676	43	10	space	space	NOUN
iajs-2676	43	11	,	,	PUNCT
iajs-2676	43	12	define	define	VERB
iajs-2676	43	13	a	a	DET
iajs-2676	43	14	game	game	NOUN
iajs-2676	43	15	ģ	ģ	X
iajs-2676	43	16	(	(	PUNCT
iajs-2676	43	17	ṫ0	ṫ0	PROPN
iajs-2676	43	18	,	,	PUNCT
iajs-2676	43	19	ҳ	ҳ	NOUN
iajs-2676	43	20	)	)	PUNCT
iajs-2676	43	21	(	(	PUNCT
iajs-2676	43	22	respectively	respectively	ADV
iajs-2676	43	23	,	,	PUNCT
iajs-2676	43	24	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	43	25	,	,	PUNCT
iajs-2676	43	26	ẛ	ẛ	NOUN
iajs-2676	43	27	)	)	PUNCT
iajs-2676	43	28	)	)	PUNCT
iajs-2676	43	29	as	as	SCONJ
iajs-2676	43	30	follows	follow	VERB
iajs-2676	43	31	:	:	PUNCT
iajs-2676	43	32	the	the	DET
iajs-2676	43	33	two	two	NUM
iajs-2676	43	34	players	player	NOUN
iajs-2676	43	35	ҏ1and	ҏ1and	CCONJ
iajs-2676	43	36	ҏ2	ҏ2	NOUN
iajs-2676	43	37	play	play	VERB
iajs-2676	43	38	an	an	DET
iajs-2676	43	39	inning	inning	NOUN
iajs-2676	43	40	for	for	ADP
iajs-2676	43	41	each	each	DET
iajs-2676	43	42	natural	natural	ADJ
iajs-2676	43	43	numbers	number	NOUN
iajs-2676	43	44	,	,	PUNCT
iajs-2676	43	45	in	in	ADP
iajs-2676	43	46	the	the	DET
iajs-2676	43	47	ṃ‐	ṃ‐	NOUN
iajs-2676	43	48	th	th	X
iajs-2676	43	49	inning	inning	NOUN
iajs-2676	43	50	,	,	PUNCT
iajs-2676	43	51	the	the	DET
iajs-2676	43	52	first	first	ADJ
iajs-2676	43	53	round	round	NOUN
iajs-2676	43	54	,	,	PUNCT
iajs-2676	43	55	ҏ1	ҏ1	X
iajs-2676	43	56	will	will	AUX
iajs-2676	43	57	choose	choose	VERB
iajs-2676	43	58	ӿṃ	ӿṃ	PRON
iajs-2676	43	59	≠	≠	PROPN
iajs-2676	43	60	ς	ς	NOUN
iajs-2676	43	61	ṃ	ṃ	NOUN
iajs-2676	43	62	.	.	PUNCT
iajs-2676	44	1	next	next	ADV
iajs-2676	44	2	,	,	PUNCT
iajs-2676	44	3	ҏ2	ҏ2	NOUN
iajs-2676	44	4	choose	choose	VERB
iajs-2676	44	5	џṃ	џṃ	PRON
iajs-2676	44	6	∈	∈	PROPN
iajs-2676	44	7	ṭ	ṭ	PROPN
iajs-2676	44	8	(	(	PUNCT
iajs-2676	44	9	respectively	respectively	ADV
iajs-2676	44	10	џṃ	џṃ	PROPN
iajs-2676	44	11	∈	∈	PROPN
iajs-2676	44	12	ẛpg‐	ẛpg‐	SYM
iajs-2676	44	13	o(ҳ	o(ҳ	NUM
iajs-2676	44	14	)	)	PUNCT
iajs-2676	44	15	)	)	PUNCT
iajs-2676	44	16	such	such	ADJ
iajs-2676	44	17	that	that	SCONJ
iajs-2676	44	18	ӿṃ	ӿṃ	NUM
iajs-2676	44	19	∈	∈	PROPN
iajs-2676	44	20	џṃ	џṃ	NOUN
iajs-2676	44	21	and	and	CCONJ
iajs-2676	44	22	ς	ς	PROPN
iajs-2676	44	23	ṃ	ṃ	PROPN
iajs-2676	44	24	∉	∉	PROPN
iajs-2676	44	25	џṃ	џṃ	PROPN
iajs-2676	44	26	,	,	PUNCT
iajs-2676	44	27	ҏ2	ҏ2	NOUN
iajs-2676	44	28	wins	win	NOUN
iajs-2676	44	29	in	in	ADP
iajs-2676	44	30	the	the	DET
iajs-2676	44	31	game	game	NOUN
iajs-2676	44	32	where	where	SCONJ
iajs-2676	44	33	ƀ	ƀ	PRON
iajs-2676	44	34	=	=	X
iajs-2676	44	35	{	{	PUNCT
iajs-2676	44	36	џ1	џ1	PROPN
iajs-2676	44	37	,	,	PUNCT
iajs-2676	44	38	џ2	џ2	PROPN
iajs-2676	44	39	,	,	PUNCT
iajs-2676	44	40	џ3	џ3	PROPN
iajs-2676	44	41	,	,	PUNCT
iajs-2676	44	42	…	…	PUNCT
iajs-2676	44	43	,	,	PUNCT
iajs-2676	44	44	џṃ	џṃ	NOUN
iajs-2676	44	45	,	,	PUNCT
iajs-2676	44	46	…	…	PUNCT
iajs-2676	44	47	}	}	PUNCT
iajs-2676	44	48	satisfies	satisfy	VERB
iajs-2676	44	49	that	that	SCONJ
iajs-2676	44	50	for	for	ADP
iajs-2676	44	51	all	all	PRON
iajs-2676	44	52	ӿṃ	ӿṃ	ADP
iajs-2676	44	53	≠	≠	PROPN
iajs-2676	44	54	ς	ς	PROPN
iajs-2676	44	55	ṃ	ṃ	NOUN
iajs-2676	44	56	in	in	ADP
iajs-2676	44	57	ҳ	ҳ	NOUN
iajs-2676	44	58	there	there	PRON
iajs-2676	44	59	exist	exist	VERB
iajs-2676	44	60	џṃ	џṃ	PRON
iajs-2676	44	61	∈	∈	PROPN
iajs-2676	44	62	ƀ	ƀ	PRON
iajs-2676	45	1	such	such	ADJ
iajs-2676	45	2	that	that	SCONJ
iajs-2676	45	3	ӿṃ	ӿṃ	NUM
iajs-2676	45	4	∈	∈	PROPN
iajs-2676	45	5	џṃ	џṃ	NOUN
iajs-2676	45	6	and	and	CCONJ
iajs-2676	45	7	ς	ς	PROPN
iajs-2676	45	8	ṃ	ṃ	PROPN
iajs-2676	45	9	∉	∉	PROPN
iajs-2676	45	10	џṃ	џṃ	PROPN
iajs-2676	45	11	.	.	PROPN
iajs-2676	45	12	other	other	ADJ
iajs-2676	45	13	hand	hand	NOUN
iajs-2676	45	14	ҏ1wins	ҏ1win	NOUN
iajs-2676	45	15	.	.	PUNCT
iajs-2676	46	1	remark	remark	NOUN
iajs-2676	46	2	2.2	2.2	NUM
iajs-2676	46	3	.	.	PUNCT
iajs-2676	47	1	for	for	ADP
iajs-2676	47	2	any	any	DET
iajs-2676	47	3	ideal	ideal	ADJ
iajs-2676	47	4	topological	topological	PROPN
iajs-2676	47	5	space(ҳ	space(ҳ	PROPN
iajs-2676	47	6	,	,	PUNCT
iajs-2676	47	7	ṭ	ṭ	PROPN
iajs-2676	47	8	,	,	PUNCT
iajs-2676	47	9	ẛ	ẛ	NOUN
iajs-2676	47	10	):	):	PUNCT
iajs-2676	47	11	1	1	NUM
iajs-2676	47	12	.	.	X
iajs-2676	48	1	if	if	SCONJ
iajs-2676	48	2	(	(	PUNCT
iajs-2676	48	3	ҏ2	ҏ2	NOUN
iajs-2676	48	4	↪	↪	PROPN
iajs-2676	48	5	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	48	6	,	,	PUNCT
iajs-2676	48	7	ҳ	ҳ	NOUN
iajs-2676	48	8	)	)	PUNCT
iajs-2676	48	9	)	)	PUNCT
iajs-2676	48	10	then	then	ADV
iajs-2676	48	11	(	(	PUNCT
iajs-2676	48	12	ҏ2	ҏ2	NOUN
iajs-2676	48	13	↪	↪	PROPN
iajs-2676	48	14	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	48	15	,	,	PUNCT
iajs-2676	48	16	ẛ	ẛ	NOUN
iajs-2676	48	17	)	)	PUNCT
iajs-2676	48	18	)	)	PUNCT
iajs-2676	48	19	.	.	PUNCT
iajs-2676	49	1	2	2	X
iajs-2676	49	2	.	.	X
iajs-2676	49	3	if	if	SCONJ
iajs-2676	49	4	(	(	PUNCT
iajs-2676	49	5	ҏ2	ҏ2	VERB
iajs-2676	49	6	↩	↩	PROPN
iajs-2676	49	7	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	49	8	,	,	PUNCT
iajs-2676	49	9	ҳ	ҳ	NOUN
iajs-2676	49	10	)	)	PUNCT
iajs-2676	49	11	)	)	PUNCT
iajs-2676	49	12	then	then	ADV
iajs-2676	49	13	(	(	PUNCT
iajs-2676	49	14	ҏ2	ҏ2	VERB
iajs-2676	49	15	↩	↩	PROPN
iajs-2676	49	16	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	49	17	,	,	PUNCT
iajs-2676	49	18	ẛ	ẛ	NOUN
iajs-2676	49	19	)	)	PUNCT
iajs-2676	49	20	)	)	PUNCT
iajs-2676	49	21	.	.	PUNCT
iajs-2676	50	1	3	3	X
iajs-2676	50	2	.	.	X
iajs-2676	51	1	if	if	SCONJ
iajs-2676	51	2	(	(	PUNCT
iajs-2676	51	3	ҏ1	ҏ1	X
iajs-2676	51	4	↪	↪	PROPN
iajs-2676	51	5	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	51	6	,	,	PUNCT
iajs-2676	51	7	ẛ	ẛ	NOUN
iajs-2676	51	8	)	)	PUNCT
iajs-2676	51	9	)	)	PUNCT
iajs-2676	51	10	then	then	ADV
iajs-2676	51	11	(	(	PUNCT
iajs-2676	51	12	ҏ1	ҏ1	X
iajs-2676	51	13	↪	↪	PROPN
iajs-2676	51	14	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	51	15	,	,	PUNCT
iajs-2676	51	16	ҳ	ҳ	NOUN
iajs-2676	51	17	)	)	PUNCT
iajs-2676	51	18	)	)	PUNCT
iajs-2676	51	19	.	.	PUNCT
iajs-2676	52	1	proposition	proposition	NOUN
iajs-2676	52	2	2.3	2.3	NUM
iajs-2676	52	3	.	.	PUNCT
iajs-2676	53	1	if	if	SCONJ
iajs-2676	53	2	(	(	PUNCT
iajs-2676	53	3	ҳ	ҳ	NOUN
iajs-2676	53	4	‚	‚	NUM
iajs-2676	53	5	ṭ	ṭ	NOUN
iajs-2676	53	6	,	,	PUNCT
iajs-2676	53	7	ẛ	ẛ	NOUN
iajs-2676	53	8	)	)	PUNCT
iajs-2676	53	9	)	)	PUNCT
iajs-2676	53	10	is	be	AUX
iajs-2676	53	11	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	53	12	(	(	PUNCT
iajs-2676	53	13	respectively	respectively	ADV
iajs-2676	53	14	,	,	PUNCT
iajs-2676	53	15	ẛpg‐	ẛpg‐	X
iajs-2676	53	16	ṫ0‐	ṫ0‐	X
iajs-2676	53	17	space	space	NOUN
iajs-2676	53	18	)	)	PUNCT
iajs-2676	53	19	(	(	PUNCT
iajs-2676	53	20	ҏ2	ҏ2	VERB
iajs-2676	53	21	↪	↪	PROPN
iajs-2676	53	22	ģ	ģ	PROPN
iajs-2676	53	23	(	(	PUNCT
iajs-2676	53	24	ṫ0	ṫ0	PROPN
iajs-2676	53	25	,	,	PUNCT
iajs-2676	53	26	ҳ	ҳ	NOUN
iajs-2676	53	27	)	)	PUNCT
iajs-2676	53	28	)	)	PUNCT
iajs-2676	53	29	.	.	PUNCT
iajs-2676	54	1	(	(	PUNCT
iajs-2676	54	2	respectively	respectively	ADV
iajs-2676	54	3	,	,	PUNCT
iajs-2676	54	4	(	(	PUNCT
iajs-2676	54	5	ҏ2	ҏ2	NOUN
iajs-2676	54	6	↪	↪	PROPN
iajs-2676	54	7	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	54	8	,	,	PUNCT
iajs-2676	54	9	ẛ	ẛ	NOUN
iajs-2676	54	10	)	)	PUNCT
iajs-2676	54	11	)	)	PUNCT
iajs-2676	54	12	.	.	PUNCT
iajs-2676	55	1	proof	proof	NOUN
iajs-2676	55	2	:	:	PUNCT
iajs-2676	55	3	since	since	SCONJ
iajs-2676	55	4	(	(	PUNCT
iajs-2676	55	5	ҳ	ҳ	NOUN
iajs-2676	55	6	,	,	PUNCT
iajs-2676	55	7	ṭ	ṭ	NOUN
iajs-2676	55	8	,	,	PUNCT
iajs-2676	55	9	ẛ	ẛ	NOUN
iajs-2676	55	10	)	)	PUNCT
iajs-2676	55	11	is	be	AUX
iajs-2676	55	12	ṫ0‐	ṫ0‐	X
iajs-2676	55	13	space	space	NOUN
iajs-2676	55	14	(	(	PUNCT
iajs-2676	55	15	respectively	respectively	ADV
iajs-2676	55	16	,	,	PUNCT
iajs-2676	55	17	ẛpg‐	ẛpg‐	X
iajs-2676	55	18	ṫ0‐	ṫ0‐	X
iajs-2676	55	19	space	space	NOUN
iajs-2676	55	20	)	)	PUNCT
iajs-2676	55	21	,	,	PUNCT
iajs-2676	55	22	then	then	ADV
iajs-2676	55	23	,	,	PUNCT
iajs-2676	55	24	in	in	ADP
iajs-2676	55	25	the	the	DET
iajs-2676	55	26	ṃ‐	ṃ‐	NOUN
iajs-2676	55	27	th	th	X
iajs-2676	55	28	inning	inning	NOUN
iajs-2676	55	29	,	,	PUNCT
iajs-2676	55	30	any	any	DET
iajs-2676	55	31	choice	choice	NOUN
iajs-2676	55	32	for	for	ADP
iajs-2676	55	33	the	the	DET
iajs-2676	55	34	first	first	ADJ
iajs-2676	55	35	player	player	NOUN
iajs-2676	55	36	ҏ1	ҏ1	ADJ
iajs-2676	55	37	,	,	PUNCT
iajs-2676	55	38	ӿṃ	ӿṃ	X
iajs-2676	55	39	≠	≠	PROPN
iajs-2676	55	40	ς	ς	PROPN
iajs-2676	55	41	ṃ	ṃ	NOUN
iajs-2676	55	42	,	,	PUNCT
iajs-2676	55	43	the	the	DET
iajs-2676	55	44	second	second	ADJ
iajs-2676	55	45	player	player	NOUN
iajs-2676	55	46	ҏ2	ҏ2	NOUN
iajs-2676	55	47	can	can	AUX
iajs-2676	55	48	be	be	AUX
iajs-2676	55	49	found	find	VERB
iajs-2676	55	50	џṃ	џṃ	PRON
iajs-2676	55	51	∈	∈	PROPN
iajs-2676	55	52	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	55	53	,	,	PUNCT
iajs-2676	55	54	џṃ	џṃ	PROPN
iajs-2676	55	55	∈	∈	PROPN
iajs-2676	55	56	ẛpg‐	ẛpg‐	SYM
iajs-2676	55	57	o(ҳ	o(ҳ	NUM
iajs-2676	55	58	)	)	PUNCT
iajs-2676	55	59	)	)	PUNCT
iajs-2676	56	1	џ2	џ2	PROPN
iajs-2676	56	2	∈	∈	PROPN
iajs-2676	56	3	ṭ	ṭ	X
iajs-2676	56	4	(	(	PUNCT
iajs-2676	56	5	respectively	respectively	ADV
iajs-2676	56	6	џṃ	џṃ	PROPN
iajs-2676	56	7	∈	∈	PROPN
iajs-2676	56	8	ẛpg‐	ẛpg‐	SYM
iajs-2676	56	9	o(ҳ	o(ҳ	NUM
iajs-2676	56	10	)	)	PUNCT
iajs-2676	56	11	)	)	PUNCT
iajs-2676	56	12	.	.	PUNCT
iajs-2676	57	1	so	so	ADV
iajs-2676	57	2	ƀ	ƀ	PRON
iajs-2676	57	3	=	=	SYM
iajs-2676	57	4	{	{	PUNCT
iajs-2676	57	5	џ1	џ1	PROPN
iajs-2676	57	6	,	,	PUNCT
iajs-2676	57	7	џ2	џ2	PROPN
iajs-2676	57	8	,	,	PUNCT
iajs-2676	57	9	џ3	џ3	PROPN
iajs-2676	57	10	,	,	PUNCT
iajs-2676	57	11	…	…	PUNCT
iajs-2676	57	12	,	,	PUNCT
iajs-2676	57	13	џṃ	џṃ	NOUN
iajs-2676	57	14	,	,	PUNCT
iajs-2676	57	15	…	…	PUNCT
iajs-2676	57	16	}	}	PUNCT
iajs-2676	57	17	is	be	AUX
iajs-2676	57	18	the	the	DET
iajs-2676	57	19	winning	win	VERB
iajs-2676	57	20	strategy	strategy	NOUN
iajs-2676	57	21	for	for	ADP
iajs-2676	57	22	ҏ2	ҏ2	PROPN
iajs-2676	57	23	.	.	PUNCT
iajs-2676	58	1	(	(	PUNCT
iajs-2676	58	2	⇐	⇐	ADJ
iajs-2676	58	3	)	)	PUNCT
iajs-2676	58	4	clear	clear	ADJ
iajs-2676	58	5	.	.	PUNCT
iajs-2676	59	1	corollary	corollary	ADJ
iajs-2676	59	2	2.4	2.4	NUM
iajs-2676	59	3	.	.	PUNCT
iajs-2676	60	1	(	(	PUNCT
iajs-2676	60	2	ҏ2	ҏ2	NOUN
iajs-2676	60	3	↪	↪	PROPN
iajs-2676	60	4	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	60	5	,	,	PUNCT
iajs-2676	60	6	ҳ	ҳ	NOUN
iajs-2676	60	7	)	)	PUNCT
iajs-2676	60	8	)	)	PUNCT
iajs-2676	60	9	(	(	PUNCT
iajs-2676	60	10	respectively	respectively	ADV
iajs-2676	60	11	,	,	PUNCT
iajs-2676	60	12	(	(	PUNCT
iajs-2676	60	13	ҏ2	ҏ2	NOUN
iajs-2676	60	14	↪	↪	PROPN
iajs-2676	60	15	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	60	16	,	,	PUNCT
iajs-2676	60	17	ẛ	ẛ	NOUN
iajs-2676	60	18	)	)	PUNCT
iajs-2676	60	19	)	)	PUNCT
iajs-2676	60	20	∀	∀	PUNCT
iajs-2676	61	1	ӿ1	ӿ1	NOUN
iajs-2676	61	2	≠	≠	PROPN
iajs-2676	61	3	ӿ2	ӿ2	PROPN
iajs-2676	61	4	in	in	ADP
iajs-2676	61	5	ҳ	ҳ	PROPN
iajs-2676	61	6	,	,	PUNCT
iajs-2676	61	7	∃	∃	PROPN
iajs-2676	61	8	ḟ	ḟ	PROPN
iajs-2676	61	9	∈	∈	PROPN
iajs-2676	61	10	ӻ	ӻ	PROPN
iajs-2676	61	11	(	(	PUNCT
iajs-2676	61	12	respectively∃	respectively∃	NOUN
iajs-2676	61	13	ḟ	ḟ	PROPN
iajs-2676	61	14	∈	∈	PROPN
iajs-2676	61	15	ẛpgc(ҳ	ẛpgc(ҳ	PROPN
iajs-2676	61	16	)	)	PUNCT
iajs-2676	61	17	)	)	PUNCT
iajs-2676	61	18	such	such	ADJ
iajs-2676	61	19	that	that	PRON
iajs-2676	61	20	,	,	PUNCT
iajs-2676	61	21	ӿ1	ӿ1	PROPN
iajs-2676	61	22	∈	∈	PROPN
iajs-2676	61	23	ḟ	ḟ	PROPN
iajs-2676	61	24	and	and	CCONJ
iajs-2676	61	25	ӿ2	ӿ2	PROPN
iajs-2676	61	26	∉	∉	PROPN
iajs-2676	61	27	ḟ	ḟ	PROPN
iajs-2676	61	28	.	.	PUNCT
iajs-2676	62	1	corollary	corollary	ADJ
iajs-2676	62	2	2.5	2.5	NUM
iajs-2676	62	3	.	.	PUNCT
iajs-2676	63	1	if	if	SCONJ
iajs-2676	63	2	(	(	PUNCT
iajs-2676	63	3	ҳ	ҳ	NOUN
iajs-2676	63	4	‚	‚	NUM
iajs-2676	63	5	ṭ	ṭ	NOUN
iajs-2676	63	6	,	,	PUNCT
iajs-2676	63	7	ẛ	ẛ	NOUN
iajs-2676	63	8	)	)	PUNCT
iajs-2676	63	9	is	be	AUX
iajs-2676	63	10	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	63	11	(	(	PUNCT
iajs-2676	63	12	respectively	respectively	ADV
iajs-2676	63	13	,	,	PUNCT
iajs-2676	63	14	ẛpg‐	ẛpg‐	X
iajs-2676	63	15	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	63	16	)	)	PUNCT
iajs-2676	63	17	(	(	PUNCT
iajs-2676	63	18	ҏ1	ҏ1	X
iajs-2676	63	19	↬	↬	X
iajs-2676	63	20	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	63	21	,	,	PUNCT
iajs-2676	63	22	ҳ	ҳ	NOUN
iajs-2676	63	23	)	)	PUNCT
iajs-2676	63	24	)	)	PUNCT
iajs-2676	63	25	.	.	PUNCT
iajs-2676	64	1	(	(	PUNCT
iajs-2676	64	2	respectively	respectively	ADV
iajs-2676	64	3	(	(	PUNCT
iajs-2676	64	4	ҏ1	ҏ1	X
iajs-2676	64	5	↬	↬	X
iajs-2676	64	6	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	64	7	,	,	PUNCT
iajs-2676	64	8	ẛ	ẛ	NOUN
iajs-2676	64	9	)	)	PUNCT
iajs-2676	64	10	)	)	PUNCT
iajs-2676	64	11	.	.	PUNCT
iajs-2676	65	1	ibn	ibn	PROPN
iajs-2676	65	2	al	al	PROPN
iajs-2676	65	3	-	-	PUNCT
iajs-2676	65	4	haitham	haitham	PROPN
iajs-2676	65	5	jour	jour	X
iajs-2676	65	6	.	.	PROPN
iajs-2676	65	7	for	for	ADP
iajs-2676	65	8	pure	pure	ADJ
iajs-2676	65	9	&	&	CCONJ
iajs-2676	65	10	appl	appl	PROPN
iajs-2676	65	11	.	.	PUNCT
iajs-2676	66	1	sci	sci	PROPN
iajs-2676	66	2	.	.	PROPN
iajs-2676	67	1	34(3)2021	34(3)2021	NUM
iajs-2676	67	2	41	41	NUM
iajs-2676	67	3	proposition	proposition	NOUN
iajs-2676	67	4	2.6	2.6	NUM
iajs-2676	67	5	.	.	PUNCT
iajs-2676	68	1	if	if	SCONJ
iajs-2676	68	2	(	(	PUNCT
iajs-2676	68	3	ҳ	ҳ	NOUN
iajs-2676	68	4	‚	‚	NUM
iajs-2676	68	5	ṭ	ṭ	NOUN
iajs-2676	68	6	,	,	PUNCT
iajs-2676	68	7	ẛ	ẛ	NOUN
iajs-2676	68	8	)	)	PUNCT
iajs-2676	68	9	is	be	AUX
iajs-2676	68	10	not	not	PART
iajs-2676	68	11	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	68	12	(	(	PUNCT
iajs-2676	68	13	respectively	respectively	ADV
iajs-2676	68	14	,	,	PUNCT
iajs-2676	68	15	not	not	PART
iajs-2676	68	16	ẛpg‐	ẛpg‐	PROPN
iajs-2676	68	17	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	68	18	)	)	PUNCT
iajs-2676	68	19	(	(	PUNCT
iajs-2676	68	20	ҏ1	ҏ1	X
iajs-2676	68	21	↪	↪	PROPN
iajs-2676	68	22	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	68	23	,	,	PUNCT
iajs-2676	68	24	ҳ	ҳ	NOUN
iajs-2676	68	25	)	)	PUNCT
iajs-2676	68	26	)	)	PUNCT
iajs-2676	68	27	(	(	PUNCT
iajs-2676	68	28	respectively	respectively	ADV
iajs-2676	68	29	,	,	PUNCT
iajs-2676	68	30	(	(	PUNCT
iajs-2676	68	31	ҏ1	ҏ1	X
iajs-2676	68	32	↪	↪	PROPN
iajs-2676	68	33	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	68	34	,	,	PUNCT
iajs-2676	68	35	ẛ	ẛ	NOUN
iajs-2676	68	36	)	)	PUNCT
iajs-2676	68	37	)	)	PUNCT
iajs-2676	68	38	.	.	PUNCT
iajs-2676	69	1	corollary	corollary	ADJ
iajs-2676	69	2	2.7	2.7	NUM
iajs-2676	69	3	.	.	PUNCT
iajs-2676	70	1	if	if	SCONJ
iajs-2676	70	2	(	(	PUNCT
iajs-2676	70	3	ҳ	ҳ	NOUN
iajs-2676	70	4	‚	‚	NUM
iajs-2676	70	5	ṭ	ṭ	NOUN
iajs-2676	70	6	,	,	PUNCT
iajs-2676	70	7	ẛ	ẛ	NOUN
iajs-2676	70	8	)	)	PUNCT
iajs-2676	70	9	is	be	AUX
iajs-2676	70	10	not	not	PART
iajs-2676	70	11	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	70	12	(	(	PUNCT
iajs-2676	70	13	respectively	respectively	ADV
iajs-2676	70	14	not	not	PART
iajs-2676	70	15	ẛpg‐	ẛpg‐	NOUN
iajs-2676	70	16	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	70	17	)	)	PUNCT
iajs-2676	70	18	(	(	PUNCT
iajs-2676	70	19	ҏ2	ҏ2	NOUN
iajs-2676	70	20	↬	↬	PROPN
iajs-2676	70	21	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	70	22	,	,	PUNCT
iajs-2676	70	23	ҳ	ҳ	NOUN
iajs-2676	70	24	)	)	PUNCT
iajs-2676	70	25	)	)	PUNCT
iajs-2676	70	26	(	(	PUNCT
iajs-2676	70	27	respectively(ҏ2	respectively(ҏ2	X
iajs-2676	70	28	↬	↬	PROPN
iajs-2676	70	29	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	70	30	,	,	PUNCT
iajs-2676	70	31	ẛ	ẛ	NOUN
iajs-2676	70	32	)	)	PUNCT
iajs-2676	70	33	)	)	PUNCT
iajs-2676	70	34	.	.	PUNCT
iajs-2676	71	1	definition	definition	NOUN
iajs-2676	71	2	2.8	2.8	NUM
iajs-2676	71	3	.	.	PUNCT
iajs-2676	72	1	let	let	VERB
iajs-2676	72	2	(	(	PUNCT
iajs-2676	72	3	ҳ	ҳ	NOUN
iajs-2676	72	4	‚	‚	NUM
iajs-2676	72	5	ṭ	ṭ	NOUN
iajs-2676	72	6	,	,	PUNCT
iajs-2676	72	7	ẛ	ẛ	X
iajs-2676	72	8	)	)	PUNCT
iajs-2676	72	9	be	be	VERB
iajs-2676	72	10	a	a	DET
iajs-2676	72	11	topological	topological	ADJ
iajs-2676	72	12	space	space	NOUN
iajs-2676	72	13	,	,	PUNCT
iajs-2676	72	14	define	define	VERB
iajs-2676	72	15	a	a	DET
iajs-2676	72	16	game	game	NOUN
iajs-2676	72	17	ģ	ģ	X
iajs-2676	72	18	(	(	PUNCT
iajs-2676	72	19	ṫ1	ṫ1	PROPN
iajs-2676	72	20	,	,	PUNCT
iajs-2676	72	21	ҳ	ҳ	NOUN
iajs-2676	72	22	)	)	PUNCT
iajs-2676	72	23	(	(	PUNCT
iajs-2676	72	24	respectively	respectively	ADV
iajs-2676	72	25	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	72	26	,	,	PUNCT
iajs-2676	72	27	ẛ	ẛ	NOUN
iajs-2676	72	28	)	)	PUNCT
iajs-2676	72	29	)	)	PUNCT
iajs-2676	72	30	as	as	SCONJ
iajs-2676	72	31	follows	follow	VERB
iajs-2676	72	32	:	:	PUNCT
iajs-2676	72	33	the	the	DET
iajs-2676	72	34	two	two	NUM
iajs-2676	72	35	players	player	NOUN
iajs-2676	72	36	ҏ1and	ҏ1and	CCONJ
iajs-2676	72	37	ҏ2	ҏ2	NOUN
iajs-2676	72	38	play	play	VERB
iajs-2676	72	39	an	an	DET
iajs-2676	72	40	inning	inning	NOUN
iajs-2676	72	41	for	for	ADP
iajs-2676	72	42	each	each	DET
iajs-2676	72	43	natural	natural	ADJ
iajs-2676	72	44	numbers	number	NOUN
iajs-2676	72	45	,	,	PUNCT
iajs-2676	72	46	in	in	ADP
iajs-2676	72	47	the	the	DET
iajs-2676	72	48	ṃ	ṃ	NOUN
iajs-2676	72	49	-	-	PUNCT
iajs-2676	72	50	th	th	VERB
iajs-2676	72	51	inning	inning	NOUN
iajs-2676	72	52	,	,	PUNCT
iajs-2676	72	53	the	the	DET
iajs-2676	72	54	first	first	ADJ
iajs-2676	72	55	round	round	NOUN
iajs-2676	72	56	,	,	PUNCT
iajs-2676	72	57	ҏ1	ҏ1	X
iajs-2676	72	58	will	will	AUX
iajs-2676	72	59	choose	choose	VERB
iajs-2676	72	60	ӿṃ	ӿṃ	PRON
iajs-2676	72	61	≠	≠	PROPN
iajs-2676	72	62	ς	ς	PROPN
iajs-2676	72	63	ṃ	ṃ	X
iajs-2676	72	64	where	where	SCONJ
iajs-2676	72	65	ӿṃ	ӿṃ	NOUN
iajs-2676	72	66	,	,	PUNCT
iajs-2676	72	67	ς	ς	NOUN
iajs-2676	72	68	ṃ	ṃ	X
iajs-2676	72	69	∈	∈	PROPN
iajs-2676	72	70	ҳ	ҳ	PROPN
iajs-2676	72	71	.	.	PUNCT
iajs-2676	73	1	next	next	ADV
iajs-2676	73	2	,	,	PUNCT
iajs-2676	73	3	ҏ2	ҏ2	NOUN
iajs-2676	73	4	choose	choose	VERB
iajs-2676	73	5	џṃ	џṃ	PROPN
iajs-2676	73	6	,	,	PUNCT
iajs-2676	73	7	ṿṃ	ṿṃ	PROPN
iajs-2676	73	8	∈	∈	NOUN
iajs-2676	73	9	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	73	10	,	,	PUNCT
iajs-2676	73	11	џṃ	џṃ	NOUN
iajs-2676	73	12	,	,	PUNCT
iajs-2676	73	13	ṿṃ	ṿṃ	NOUN
iajs-2676	73	14	∈	∈	NOUN
iajs-2676	73	15	ẛpg‐	ẛpg‐	SYM
iajs-2676	73	16	o(ҳ	o(ҳ	NUM
iajs-2676	73	17	)	)	PUNCT
iajs-2676	73	18	)	)	PUNCT
iajs-2676	74	1	such	such	ADJ
iajs-2676	74	2	that	that	PRON
iajs-2676	74	3	ӿṃ	ӿṃ	NUM
iajs-2676	74	4	∈	∈	PROPN
iajs-2676	74	5	(	(	PUNCT
iajs-2676	74	6	џṃ‐	џṃ‐	PROPN
iajs-2676	74	7	ṿṃ	ṿṃ	PROPN
iajs-2676	74	8	)	)	PUNCT
iajs-2676	74	9	and	and	CCONJ
iajs-2676	74	10	ς	ς	PROPN
iajs-2676	74	11	ṃ	ṃ	X
iajs-2676	74	12	∈	∈	PROPN
iajs-2676	74	13	(	(	PUNCT
iajs-2676	74	14	ṿṃ‐	ṿṃ‐	NOUN
iajs-2676	74	15	џṃ	џṃ	NOUN
iajs-2676	74	16	)	)	PUNCT
iajs-2676	74	17	,	,	PUNCT
iajs-2676	74	18	ҏ2	ҏ2	NOUN
iajs-2676	74	19	wins	win	VERB
iajs-2676	74	20	in	in	ADP
iajs-2676	74	21	the	the	DET
iajs-2676	74	22	game	game	NOUN
iajs-2676	74	23	where	where	SCONJ
iajs-2676	74	24	ƀ	ƀ	PRON
iajs-2676	74	25	=	=	X
iajs-2676	74	26	{	{	PUNCT
iajs-2676	74	27	{	{	PUNCT
iajs-2676	74	28	џ1	џ1	NOUN
iajs-2676	74	29	,	,	PUNCT
iajs-2676	74	30	ṿ1	ṿ1	NOUN
iajs-2676	74	31	}	}	PUNCT
iajs-2676	74	32	,	,	PUNCT
iajs-2676	74	33	{	{	PUNCT
iajs-2676	74	34	џ2	џ2	ADV
iajs-2676	74	35	,	,	PUNCT
iajs-2676	74	36	ṿ2	ṿ2	ADV
iajs-2676	74	37	}	}	PUNCT
iajs-2676	74	38	…	…	PUNCT
iajs-2676	74	39	,	,	PUNCT
iajs-2676	74	40	{	{	PUNCT
iajs-2676	74	41	џṃ	џṃ	NOUN
iajs-2676	74	42	,	,	PUNCT
iajs-2676	74	43	ṿṃ	ṿṃ	NOUN
iajs-2676	74	44	}	}	PUNCT
iajs-2676	74	45	.	.	PUNCT
iajs-2676	74	46	.	.	PUNCT
iajs-2676	74	47	.	.	PUNCT
iajs-2676	75	1	}	}	PUNCT
iajs-2676	75	2	satisfies	satisfy	VERB
iajs-2676	75	3	that	that	SCONJ
iajs-2676	75	4	for	for	ADP
iajs-2676	75	5	all	all	DET
iajs-2676	75	6	ӿm	ӿm	PROPN
iajs-2676	75	7	≠	≠	PROPN
iajs-2676	75	8	ς	ς	PROPN
iajs-2676	75	9	m	m	NOUN
iajs-2676	75	10	in	in	ADP
iajs-2676	75	11	ҳ	ҳ	NOUN
iajs-2676	75	12	there	there	PRON
iajs-2676	75	13	exist	exist	VERB
iajs-2676	75	14	{	{	PUNCT
iajs-2676	75	15	џṃ	џṃ	NOUN
iajs-2676	75	16	,	,	PUNCT
iajs-2676	75	17	ṿṃ}∈	ṿṃ}∈	PRON
iajs-2676	75	18	ƀ	ƀ	NUM
iajs-2676	75	19	such	such	ADJ
iajs-2676	75	20	that	that	PRON
iajs-2676	75	21	ӿṃ	ӿṃ	NUM
iajs-2676	75	22	∈	∈	PROPN
iajs-2676	75	23	(	(	PUNCT
iajs-2676	75	24	џṃ‐	џṃ‐	PROPN
iajs-2676	75	25	ṿṃ	ṿṃ	PROPN
iajs-2676	75	26	)	)	PUNCT
iajs-2676	75	27	and	and	CCONJ
iajs-2676	75	28	ς	ς	PROPN
iajs-2676	75	29	ṃ	ṃ	X
iajs-2676	75	30	∈	∈	PROPN
iajs-2676	75	31	(	(	PUNCT
iajs-2676	75	32	ṿṃ‐	ṿṃ‐	NOUN
iajs-2676	75	33	џṃ	џṃ	NOUN
iajs-2676	75	34	)	)	PUNCT
iajs-2676	75	35	.	.	PUNCT
iajs-2676	76	1	other	other	ADJ
iajs-2676	76	2	hand	hand	NOUN
iajs-2676	76	3	ҏ1	ҏ1	ADJ
iajs-2676	76	4	wins	win	VERB
iajs-2676	76	5	.	.	PUNCT
iajs-2676	77	1	remark	remark	PROPN
iajs-2676	77	2	2.9	2.9	NUM
iajs-2676	77	3	.	.	PUNCT
iajs-2676	78	1	for	for	ADP
iajs-2676	78	2	any	any	DET
iajs-2676	78	3	ideal	ideal	ADJ
iajs-2676	78	4	topological	topological	PROPN
iajs-2676	78	5	space(ҳ	space(ҳ	PROPN
iajs-2676	78	6	,	,	PUNCT
iajs-2676	78	7	ṭ	ṭ	PROPN
iajs-2676	78	8	,	,	PUNCT
iajs-2676	78	9	ẛ	ẛ	NOUN
iajs-2676	78	10	):	):	PUNCT
iajs-2676	78	11	1	1	NUM
iajs-2676	78	12	.	.	X
iajs-2676	79	1	if	if	SCONJ
iajs-2676	79	2	(	(	PUNCT
iajs-2676	79	3	ҏ2	ҏ2	NOUN
iajs-2676	79	4	↪	↪	PROPN
iajs-2676	79	5	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	79	6	,	,	PUNCT
iajs-2676	79	7	ҳ	ҳ	NOUN
iajs-2676	79	8	)	)	PUNCT
iajs-2676	79	9	)	)	PUNCT
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iajs-2676	79	11	(	(	PUNCT
iajs-2676	79	12	ҏ2	ҏ2	PROPN
iajs-2676	79	13	↪	↪	PROPN
iajs-2676	79	14	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	79	15	,	,	PUNCT
iajs-2676	79	16	ẛ	ẛ	NOUN
iajs-2676	79	17	)	)	PUNCT
iajs-2676	79	18	)	)	PUNCT
iajs-2676	79	19	.	.	PUNCT
iajs-2676	80	1	2	2	X
iajs-2676	80	2	.	.	X
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iajs-2676	80	5	ҏ2	ҏ2	VERB
iajs-2676	80	6	↩	↩	PROPN
iajs-2676	80	7	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	80	8	,	,	PUNCT
iajs-2676	80	9	ҳ	ҳ	NOUN
iajs-2676	80	10	)	)	PUNCT
iajs-2676	80	11	)	)	PUNCT
iajs-2676	80	12	then	then	ADV
iajs-2676	80	13	(	(	PUNCT
iajs-2676	80	14	ҏ2	ҏ2	VERB
iajs-2676	80	15	↩	↩	PROPN
iajs-2676	80	16	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	80	17	,	,	PUNCT
iajs-2676	80	18	ẛ	ẛ	NOUN
iajs-2676	80	19	)	)	PUNCT
iajs-2676	80	20	)	)	PUNCT
iajs-2676	80	21	.	.	PUNCT
iajs-2676	81	1	3	3	X
iajs-2676	81	2	.	.	X
iajs-2676	82	1	if	if	SCONJ
iajs-2676	82	2	(	(	PUNCT
iajs-2676	82	3	ҏ1	ҏ1	X
iajs-2676	82	4	↪	↪	PROPN
iajs-2676	82	5	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	82	6	,	,	PUNCT
iajs-2676	82	7	ẛ	ẛ	NOUN
iajs-2676	82	8	)	)	PUNCT
iajs-2676	82	9	)	)	PUNCT
iajs-2676	82	10	then	then	ADV
iajs-2676	82	11	(	(	PUNCT
iajs-2676	82	12	ҏ1	ҏ1	PROPN
iajs-2676	82	13	↪	↪	PROPN
iajs-2676	82	14	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	82	15	,	,	PUNCT
iajs-2676	82	16	ҳ	ҳ	NOUN
iajs-2676	82	17	)	)	PUNCT
iajs-2676	82	18	)	)	PUNCT
iajs-2676	82	19	.	.	PUNCT
iajs-2676	83	1	proposition	proposition	NOUN
iajs-2676	83	2	2.10	2.10	NUM
iajs-2676	83	3	.	.	PUNCT
iajs-2676	84	1	if	if	SCONJ
iajs-2676	84	2	(	(	PUNCT
iajs-2676	84	3	ҳ	ҳ	NOUN
iajs-2676	84	4	‚	‚	NUM
iajs-2676	84	5	ṭ	ṭ	NOUN
iajs-2676	84	6	,	,	PUNCT
iajs-2676	84	7	ẛ	ẛ	NOUN
iajs-2676	84	8	)	)	PUNCT
iajs-2676	84	9	is	be	AUX
iajs-2676	84	10	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	84	11	(	(	PUNCT
iajs-2676	84	12	respectively	respectively	ADV
iajs-2676	84	13	ẛpg‐	ẛpg‐	X
iajs-2676	84	14	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	84	15	(	(	PUNCT
iajs-2676	84	16	ҏ2	ҏ2	PROPN
iajs-2676	84	17	↪	↪	PROPN
iajs-2676	84	18	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	84	19	,	,	PUNCT
iajs-2676	84	20	ҳ	ҳ	NOUN
iajs-2676	84	21	)	)	PUNCT
iajs-2676	84	22	)	)	PUNCT
iajs-2676	84	23	.	.	PUNCT
iajs-2676	85	1	(	(	PUNCT
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iajs-2676	85	3	,	,	PUNCT
iajs-2676	85	4	(	(	PUNCT
iajs-2676	85	5	ҏ2	ҏ2	PROPN
iajs-2676	85	6	↪	↪	PROPN
iajs-2676	85	7	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	85	8	,	,	PUNCT
iajs-2676	85	9	ẛ	ẛ	NOUN
iajs-2676	85	10	)	)	PUNCT
iajs-2676	85	11	)	)	PUNCT
iajs-2676	85	12	.	.	PUNCT
iajs-2676	86	1	proof	proof	NOUN
iajs-2676	86	2	:	:	PUNCT
iajs-2676	86	3	(	(	PUNCT
iajs-2676	86	4	⟹	⟹	X
iajs-2676	86	5	)	)	PUNCT
iajs-2676	86	6	let	let	VERB
iajs-2676	86	7	(	(	PUNCT
iajs-2676	86	8	ҳ	ҳ	NOUN
iajs-2676	86	9	‚	‚	NUM
iajs-2676	86	10	ṭ	ṭ	NOUN
iajs-2676	86	11	,	,	PUNCT
iajs-2676	86	12	ẛ	ẛ	X
iajs-2676	86	13	)	)	PUNCT
iajs-2676	86	14	be	be	VERB
iajs-2676	86	15	a	a	DET
iajs-2676	86	16	topological	topological	ADJ
iajs-2676	86	17	space	space	NOUN
iajs-2676	86	18	,	,	PUNCT
iajs-2676	86	19	in	in	ADP
iajs-2676	86	20	the	the	DET
iajs-2676	86	21	first	first	ADJ
iajs-2676	86	22	round	round	NOUN
iajs-2676	86	23	,	,	PUNCT
iajs-2676	86	24	ҏ1	ҏ1	X
iajs-2676	86	25	will	will	AUX
iajs-2676	86	26	choose	choose	VERB
iajs-2676	86	27	ӿ1	ӿ1	NOUN
iajs-2676	86	28	≠	≠	PROPN
iajs-2676	86	29	ς	ς	PROPN
iajs-2676	86	30	1	1	NUM
iajs-2676	86	31	.	.	PUNCT
iajs-2676	87	1	next	next	ADV
iajs-2676	87	2	,	,	PUNCT
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iajs-2676	87	4	(	(	PUNCT
iajs-2676	87	5	ҳ	ҳ	NOUN
iajs-2676	87	6	‚	‚	NUM
iajs-2676	87	7	ṭ	ṭ	NOUN
iajs-2676	87	8	,	,	PUNCT
iajs-2676	87	9	ẛ	ẛ	NOUN
iajs-2676	87	10	)	)	PUNCT
iajs-2676	87	11	is	be	AUX
iajs-2676	87	12	ṫ1‐	ṫ1‐	NOUN
iajs-2676	87	13	space	space	NOUN
iajs-2676	87	14	(	(	PUNCT
iajs-2676	87	15	respectively	respectively	ADV
iajs-2676	87	16	ẛpg‐	ẛpg‐	PART
iajs-2676	87	17	ṫ1‐	ṫ1‐	NOUN
iajs-2676	87	18	space	space	NOUN
iajs-2676	87	19	)	)	PUNCT
iajs-2676	87	20	ҏ2	ҏ2	NOUN
iajs-2676	87	21	can	can	AUX
iajs-2676	87	22	be	be	AUX
iajs-2676	87	23	found	find	VERB
iajs-2676	87	24	џ1	џ1	NOUN
iajs-2676	87	25	,	,	PUNCT
iajs-2676	87	26	ṿ1	ṿ1	NOUN
iajs-2676	87	27	∈	∈	PROPN
iajs-2676	87	28	ṭ	ṭ	PROPN
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iajs-2676	87	30	respectively	respectively	ADV
iajs-2676	87	31	џ1	џ1	NOUN
iajs-2676	87	32	,	,	PUNCT
iajs-2676	87	33	ṿ1	ṿ1	NOUN
iajs-2676	87	34	∈	∈	PROPN
iajs-2676	87	35	ẛpg‐	ẛpg‐	X
iajs-2676	87	36	o(ҳ	o(ҳ	NUM
iajs-2676	87	37	)	)	PUNCT
iajs-2676	87	38	)	)	PUNCT
iajs-2676	87	39	such	such	ADJ
iajs-2676	87	40	that	that	SCONJ
iajs-2676	87	41	ӿ1	ӿ1	PROPN
iajs-2676	87	42	∈	∈	PROPN
iajs-2676	87	43	(	(	PUNCT
iajs-2676	87	44	џ1‐	џ1‐	NUM
iajs-2676	87	45	ṿ1)and	ṿ1)and	NOUN
iajs-2676	87	46	ς	ς	PROPN
iajs-2676	87	47	1	1	NUM
iajs-2676	87	48	∈	∈	PROPN
iajs-2676	87	49	(	(	PUNCT
iajs-2676	87	50	ṿ1‐	ṿ1‐	NOUN
iajs-2676	87	51	џ1	џ1	NOUN
iajs-2676	87	52	)	)	PUNCT
iajs-2676	87	53	,	,	PUNCT
iajs-2676	87	54	in	in	ADP
iajs-2676	87	55	the	the	DET
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iajs-2676	87	58	,	,	PUNCT
iajs-2676	87	59	ҏ1	ҏ1	X
iajs-2676	87	60	will	will	AUX
iajs-2676	87	61	choose	choose	VERB
iajs-2676	87	62	ӿ2	ӿ2	PROPN
iajs-2676	87	63	≠	≠	PROPN
iajs-2676	87	64	ς	ς	PROPN
iajs-2676	87	65	2	2	NUM
iajs-2676	87	66	.	.	PUNCT
iajs-2676	88	1	next	next	ADV
iajs-2676	88	2	,	,	PUNCT
iajs-2676	88	3	ҏ2	ҏ2	NOUN
iajs-2676	88	4	can	can	AUX
iajs-2676	88	5	be	be	AUX
iajs-2676	88	6	found	find	VERB
iajs-2676	88	7	џ2	џ2	NOUN
iajs-2676	88	8	,	,	PUNCT
iajs-2676	88	9	ṿ2	ṿ2	PROPN
iajs-2676	88	10	∈	∈	PROPN
iajs-2676	88	11	ṭ	ṭ	X
iajs-2676	88	12	(	(	PUNCT
iajs-2676	88	13	respectively	respectively	ADV
iajs-2676	88	14	џ2	џ2	NOUN
iajs-2676	88	15	,	,	PUNCT
iajs-2676	88	16	ṿ2	ṿ2	NOUN
iajs-2676	88	17	∈	∈	PROPN
iajs-2676	88	18	ẛpg‐	ẛpg‐	X
iajs-2676	88	19	o(ҳ	o(ҳ	NUM
iajs-2676	88	20	)	)	PUNCT
iajs-2676	88	21	)	)	PUNCT
iajs-2676	88	22	such	such	ADJ
iajs-2676	88	23	that	that	SCONJ
iajs-2676	88	24	ӿ2	ӿ2	PROPN
iajs-2676	88	25	∈	∈	PROPN
iajs-2676	88	26	џ2‐	џ2‐	NOUN
iajs-2676	88	27	ṿ2	ṿ2	ADJ
iajs-2676	88	28	and	and	CCONJ
iajs-2676	88	29	ς	ς	PROPN
iajs-2676	88	30	2	2	NUM
iajs-2676	88	31	∈	∈	NOUN
iajs-2676	88	32	(	(	PUNCT
iajs-2676	88	33	ṿ2‐	ṿ2‐	NOUN
iajs-2676	88	34	џ2	џ2	PROPN
iajs-2676	88	35	)	)	PUNCT
iajs-2676	88	36	,	,	PUNCT
iajs-2676	88	37	in	in	ADP
iajs-2676	88	38	the	the	DET
iajs-2676	88	39	ṃ‐	ṃ‐	PROPN
iajs-2676	88	40	th	th	X
iajs-2676	88	41	round	round	NOUN
iajs-2676	88	42	ҏ1	ҏ1	X
iajs-2676	88	43	will	will	AUX
iajs-2676	88	44	choose	choose	VERB
iajs-2676	88	45	ӿṃ	ӿṃ	PRON
iajs-2676	88	46	≠	≠	PROPN
iajs-2676	88	47	ς	ς	PROPN
iajs-2676	88	48	ṃ	ṃ	NOUN
iajs-2676	88	49	,	,	PUNCT
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iajs-2676	88	51	,	,	PUNCT
iajs-2676	88	52	ҏ2	ҏ2	NOUN
iajs-2676	88	53	can	can	AUX
iajs-2676	88	54	be	be	AUX
iajs-2676	88	55	found	find	VERB
iajs-2676	88	56	џṃ	џṃ	NUM
iajs-2676	88	57	,	,	PUNCT
iajs-2676	88	58	ṿṃ	ṿṃ	PROPN
iajs-2676	88	59	∈	∈	NOUN
iajs-2676	88	60	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	88	61	,	,	PUNCT
iajs-2676	88	62	џṃ	џṃ	NOUN
iajs-2676	88	63	,	,	PUNCT
iajs-2676	88	64	ṿṃ	ṿṃ	NOUN
iajs-2676	88	65	∈	∈	NOUN
iajs-2676	88	66	ẛpg‐	ẛpg‐	SYM
iajs-2676	88	67	o(ҳ	o(ҳ	NUM
iajs-2676	88	68	)	)	PUNCT
iajs-2676	88	69	)	)	PUNCT
iajs-2676	89	1	such	such	ADJ
iajs-2676	89	2	that	that	PRON
iajs-2676	89	3	ӿṃ	ӿṃ	NUM
iajs-2676	89	4	∈	∈	PROPN
iajs-2676	89	5	(	(	PUNCT
iajs-2676	89	6	џṃ‐	џṃ‐	PROPN
iajs-2676	89	7	ṿṃ	ṿṃ	PROPN
iajs-2676	89	8	)	)	PUNCT
iajs-2676	89	9	and	and	CCONJ
iajs-2676	89	10	ς	ς	PROPN
iajs-2676	89	11	ṃ	ṃ	X
iajs-2676	89	12	∈	∈	PROPN
iajs-2676	89	13	(	(	PUNCT
iajs-2676	89	14	ṿṃ‐	ṿṃ‐	NOUN
iajs-2676	89	15	џṃ	џṃ	NOUN
iajs-2676	89	16	)	)	PUNCT
iajs-2676	89	17	.	.	PUNCT
iajs-2676	90	1	so	so	ADV
iajs-2676	90	2	ƀ	ƀ	PRON
iajs-2676	90	3	=	=	PRON
iajs-2676	90	4	{	{	PUNCT
iajs-2676	90	5	{	{	PUNCT
iajs-2676	90	6	џ1	џ1	NOUN
iajs-2676	90	7	,	,	PUNCT
iajs-2676	90	8	ṿ1	ṿ1	NOUN
iajs-2676	90	9	}	}	PUNCT
iajs-2676	90	10	,	,	PUNCT
iajs-2676	90	11	{	{	PUNCT
iajs-2676	90	12	џ2	џ2	ADV
iajs-2676	90	13	,	,	PUNCT
iajs-2676	90	14	ṿ2	ṿ2	ADV
iajs-2676	90	15	}	}	PUNCT
iajs-2676	90	16	,	,	PUNCT
iajs-2676	90	17	…	…	PUNCT
iajs-2676	90	18	,	,	PUNCT
iajs-2676	90	19	{	{	PUNCT
iajs-2676	90	20	џṃ	џṃ	NOUN
iajs-2676	90	21	,	,	PUNCT
iajs-2676	90	22	ṿṃ	ṿṃ	NOUN
iajs-2676	90	23	}	}	PUNCT
iajs-2676	90	24	,	,	PUNCT
iajs-2676	90	25	.	.	PUNCT
iajs-2676	90	26	.	.	PUNCT
iajs-2676	90	27	.	.	PUNCT
iajs-2676	91	1	}	}	PUNCT
iajs-2676	91	2	is	be	AUX
iajs-2676	91	3	the	the	DET
iajs-2676	91	4	winning	win	VERB
iajs-2676	91	5	strategy	strategy	NOUN
iajs-2676	91	6	for	for	ADP
iajs-2676	91	7	ҏ2	ҏ2	PROPN
iajs-2676	91	8	.	.	PUNCT
iajs-2676	92	1	(	(	PUNCT
iajs-2676	92	2	⇐	⇐	ADJ
iajs-2676	92	3	)	)	PUNCT
iajs-2676	92	4	clear	clear	ADJ
iajs-2676	92	5	.	.	PUNCT
iajs-2676	93	1	corollary	corollary	ADJ
iajs-2676	93	2	2.11	2.11	NUM
iajs-2676	93	3	.	.	PUNCT
iajs-2676	94	1	(	(	PUNCT
iajs-2676	94	2	ҏ2	ҏ2	PROPN
iajs-2676	94	3	↪	↪	PROPN
iajs-2676	94	4	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	94	5	,	,	PUNCT
iajs-2676	94	6	ҳ	ҳ	NOUN
iajs-2676	94	7	)	)	PUNCT
iajs-2676	94	8	)	)	PUNCT
iajs-2676	94	9	(	(	PUNCT
iajs-2676	94	10	respectively	respectively	ADV
iajs-2676	94	11	,	,	PUNCT
iajs-2676	94	12	(	(	PUNCT
iajs-2676	94	13	ҏ2	ҏ2	PROPN
iajs-2676	94	14	↪	↪	PROPN
iajs-2676	94	15	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	94	16	,	,	PUNCT
iajs-2676	94	17	ẛ	ẛ	NOUN
iajs-2676	94	18	)	)	PUNCT
iajs-2676	94	19	)	)	PUNCT
iajs-2676	94	20	∀	∀	PUNCT
iajs-2676	95	1	ӿ1	ӿ1	NOUN
iajs-2676	95	2	≠	≠	PROPN
iajs-2676	95	3	ӿ2	ӿ2	PROPN
iajs-2676	95	4	in	in	ADP
iajs-2676	95	5	ҳ	ҳ	PROPN
iajs-2676	95	6	∃	∃	PROPN
iajs-2676	95	7	ḟ1	ḟ1	NOUN
iajs-2676	95	8	,	,	PUNCT
iajs-2676	95	9	ḟ2	ḟ2	PROPN
iajs-2676	95	10	∈	∈	PROPN
iajs-2676	95	11	ӻ	ӻ	PROPN
iajs-2676	95	12	(	(	PUNCT
iajs-2676	95	13	respectively	respectively	ADV
iajs-2676	95	14	∃	∃	PROPN
iajs-2676	95	15	ḟ1	ḟ1	NOUN
iajs-2676	95	16	,	,	PUNCT
iajs-2676	95	17	ḟ2	ḟ2	PROPN
iajs-2676	95	18	∈	∈	PROPN
iajs-2676	95	19	ẛpg‐	ẛpg‐	X
iajs-2676	95	20	c(ҳ	c(ҳ	PROPN
iajs-2676	95	21	)	)	PUNCT
iajs-2676	95	22	)	)	PUNCT
iajs-2676	95	23	such	such	ADJ
iajs-2676	95	24	that	that	DET
iajs-2676	95	25	,	,	PUNCT
iajs-2676	95	26	ӿ1	ӿ1	PROPN
iajs-2676	95	27	∈	∈	PROPN
iajs-2676	95	28	ḟ1	ḟ1	NOUN
iajs-2676	95	29	and	and	CCONJ
iajs-2676	95	30	ӿ2	ӿ2	PROPN
iajs-2676	95	31	∉	∉	PROPN
iajs-2676	95	32	ḟ1	ḟ1	PROPN
iajs-2676	95	33	and	and	CCONJ
iajs-2676	95	34	ӿ1	ӿ1	PROPN
iajs-2676	95	35	∉	∉	PROPN
iajs-2676	95	36	ḟ2	ḟ2	PROPN
iajs-2676	95	37	and	and	CCONJ
iajs-2676	95	38	ӿ2	ӿ2	PROPN
iajs-2676	95	39	∈	∈	PROPN
iajs-2676	95	40	ḟ2	ḟ2	PROPN
iajs-2676	95	41	.	.	PUNCT
iajs-2676	96	1	corollary	corollary	ADJ
iajs-2676	96	2	2.12	2.12	NUM
iajs-2676	96	3	.	.	PUNCT
iajs-2676	97	1	(	(	PUNCT
iajs-2676	97	2	ҳ	ҳ	NOUN
iajs-2676	97	3	‚	‚	NUM
iajs-2676	97	4	ṭ	ṭ	NOUN
iajs-2676	97	5	,	,	PUNCT
iajs-2676	97	6	ẛ	ẛ	NOUN
iajs-2676	97	7	)	)	PUNCT
iajs-2676	97	8	is	be	AUX
iajs-2676	97	9	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	97	10	(	(	PUNCT
iajs-2676	97	11	respectively	respectively	ADV
iajs-2676	97	12	,	,	PUNCT
iajs-2676	97	13	ẛpg‐	ẛpg‐	X
iajs-2676	97	14	ṫ1‐space	ṫ1‐space	NUM
iajs-2676	97	15	)	)	PUNCT
iajs-2676	97	16	(	(	PUNCT
iajs-2676	97	17	ҏ1	ҏ1	X
iajs-2676	97	18	↬	↬	PROPN
iajs-2676	97	19	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	97	20	,	,	PUNCT
iajs-2676	97	21	ҳ	ҳ	NOUN
iajs-2676	97	22	)	)	PUNCT
iajs-2676	97	23	)	)	PUNCT
iajs-2676	97	24	.	.	PUNCT
iajs-2676	98	1	(	(	PUNCT
iajs-2676	98	2	respectively	respectively	ADV
iajs-2676	98	3	(	(	PUNCT
iajs-2676	98	4	ҏ1	ҏ1	X
iajs-2676	98	5	↬	↬	PROPN
iajs-2676	98	6	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	98	7	,	,	PUNCT
iajs-2676	98	8	ẛ	ẛ	NOUN
iajs-2676	98	9	)	)	PUNCT
iajs-2676	98	10	)	)	PUNCT
iajs-2676	98	11	.	.	PUNCT
iajs-2676	99	1	proposition	proposition	NOUN
iajs-2676	99	2	2.13	2.13	NUM
iajs-2676	99	3	.	.	PUNCT
iajs-2676	100	1	(	(	PUNCT
iajs-2676	100	2	ҳ	ҳ	NOUN
iajs-2676	100	3	‚	‚	NUM
iajs-2676	100	4	ṭ	ṭ	NOUN
iajs-2676	100	5	,	,	PUNCT
iajs-2676	100	6	ẛ	ẛ	NOUN
iajs-2676	100	7	)	)	PUNCT
iajs-2676	100	8	is	be	AUX
iajs-2676	100	9	not	not	PART
iajs-2676	100	10	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	100	11	(	(	PUNCT
iajs-2676	100	12	respectively	respectively	ADV
iajs-2676	100	13	,	,	PUNCT
iajs-2676	100	14	not	not	PART
iajs-2676	100	15	ẛpg‐	ẛpg‐	PRON
iajs-2676	100	16	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	100	17	(	(	PUNCT
iajs-2676	100	18	ҏ1	ҏ1	PROPN
iajs-2676	100	19	↪	↪	PROPN
iajs-2676	100	20	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	100	21	,	,	PUNCT
iajs-2676	100	22	ҳ	ҳ	NOUN
iajs-2676	100	23	)	)	PUNCT
iajs-2676	100	24	)	)	PUNCT
iajs-2676	101	1	(	(	PUNCT
iajs-2676	101	2	respectively(ҏ1	respectively(ҏ1	PROPN
iajs-2676	101	3	↪	↪	PROPN
iajs-2676	101	4	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	101	5	,	,	PUNCT
iajs-2676	101	6	ẛ	ẛ	NOUN
iajs-2676	101	7	)	)	PUNCT
iajs-2676	101	8	)	)	PUNCT
iajs-2676	101	9	.	.	PUNCT
iajs-2676	102	1	corollary	corollary	ADJ
iajs-2676	102	2	2.14	2.14	NUM
iajs-2676	102	3	.	.	PUNCT
iajs-2676	103	1	(	(	PUNCT
iajs-2676	103	2	ҳ	ҳ	NOUN
iajs-2676	103	3	‚	‚	NUM
iajs-2676	103	4	ṭ	ṭ	NOUN
iajs-2676	103	5	,	,	PUNCT
iajs-2676	103	6	ẛ	ẛ	NOUN
iajs-2676	103	7	)	)	PUNCT
iajs-2676	103	8	is	be	AUX
iajs-2676	103	9	not	not	PART
iajs-2676	103	10	ṫ1‐space	ṫ1‐space	NOUN
iajs-2676	103	11	(	(	PUNCT
iajs-2676	103	12	respectively	respectively	ADV
iajs-2676	103	13	,	,	PUNCT
iajs-2676	103	14	not	not	PART
iajs-2676	103	15	ẛpg‐	ẛpg‐	NOUN
iajs-2676	103	16	ṫ1‐space	ṫ1‐space	NUM
iajs-2676	103	17	)	)	PUNCT
iajs-2676	103	18	(	(	PUNCT
iajs-2676	103	19	ҏ2	ҏ2	PROPN
iajs-2676	103	20	↬	↬	PROPN
iajs-2676	103	21	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	103	22	,	,	PUNCT
iajs-2676	103	23	ҳ	ҳ	NOUN
iajs-2676	103	24	)	)	PUNCT
iajs-2676	103	25	)	)	PUNCT
iajs-2676	103	26	(	(	PUNCT
iajs-2676	103	27	respectively(ҏ2	respectively(ҏ2	PROPN
iajs-2676	103	28	↬	↬	PROPN
iajs-2676	103	29	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	103	30	,	,	PUNCT
iajs-2676	103	31	ẛ	ẛ	NOUN
iajs-2676	103	32	)	)	PUNCT
iajs-2676	103	33	)	)	PUNCT
iajs-2676	103	34	.	.	PUNCT
iajs-2676	104	1	definition	definition	NOUN
iajs-2676	104	2	2.15	2.15	NUM
iajs-2676	104	3	.	.	PUNCT
iajs-2676	105	1	[	[	X
iajs-2676	105	2	10	10	NUM
iajs-2676	105	3	]	]	PUNCT
iajs-2676	105	4	,	,	PUNCT
iajs-2676	105	5	[	[	X
iajs-2676	105	6	13	13	NUM
iajs-2676	105	7	]	]	X
iajs-2676	105	8	let	let	VERB
iajs-2676	105	9	(	(	PUNCT
iajs-2676	105	10	ҳ	ҳ	NOUN
iajs-2676	105	11	‚	‚	NUM
iajs-2676	105	12	ṭ	ṭ	NOUN
iajs-2676	105	13	)	)	PUNCT
iajs-2676	105	14	be	be	AUX
iajs-2676	105	15	topological	topological	ADJ
iajs-2676	105	16	space	space	NOUN
iajs-2676	105	17	,	,	PUNCT
iajs-2676	105	18	define	define	VERB
iajs-2676	105	19	a	a	DET
iajs-2676	105	20	game	game	NOUN
iajs-2676	105	21	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	105	22	,	,	PUNCT
iajs-2676	105	23	ҳ	ҳ	NOUN
iajs-2676	105	24	)	)	PUNCT
iajs-2676	105	25	(	(	PUNCT
iajs-2676	105	26	respectively	respectively	ADV
iajs-2676	105	27	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	105	28	,	,	PUNCT
iajs-2676	105	29	ẛ	ẛ	NOUN
iajs-2676	105	30	)	)	PUNCT
iajs-2676	105	31	)	)	PUNCT
iajs-2676	105	32	as	as	SCONJ
iajs-2676	105	33	follows	follow	VERB
iajs-2676	105	34	:	:	PUNCT
iajs-2676	105	35	the	the	DET
iajs-2676	105	36	two	two	NUM
iajs-2676	105	37	players	player	NOUN
iajs-2676	105	38	ҏ1and	ҏ1and	CCONJ
iajs-2676	105	39	ҏ2	ҏ2	NOUN
iajs-2676	105	40	play	play	VERB
iajs-2676	105	41	an	an	DET
iajs-2676	105	42	inning	inning	NOUN
iajs-2676	105	43	for	for	ADP
iajs-2676	105	44	each	each	DET
iajs-2676	105	45	natural	natural	ADJ
iajs-2676	105	46	numbers	number	NOUN
iajs-2676	105	47	,	,	PUNCT
iajs-2676	105	48	in	in	ADP
iajs-2676	105	49	the	the	DET
iajs-2676	105	50	ṃ‐	ṃ‐	NOUN
iajs-2676	105	51	th	th	X
iajs-2676	105	52	inning	inning	NOUN
iajs-2676	105	53	,	,	PUNCT
iajs-2676	105	54	the	the	DET
iajs-2676	105	55	first	first	ADJ
iajs-2676	105	56	round	round	NOUN
iajs-2676	105	57	,	,	PUNCT
iajs-2676	105	58	ҏ1will	ҏ1will	NOUN
iajs-2676	105	59	choose	choose	VERB
iajs-2676	105	60	ӿṃ	ӿṃ	PRON
iajs-2676	105	61	≠	≠	PROPN
iajs-2676	105	62	ς	ς	NOUN
iajs-2676	105	63	ṃ	ṃ	NOUN
iajs-2676	105	64	.	.	PUNCT
iajs-2676	106	1	next	next	ADV
iajs-2676	106	2	,	,	PUNCT
iajs-2676	106	3	ҏ2	ҏ2	NOUN
iajs-2676	106	4	choose	choose	VERB
iajs-2676	106	5	џṃ	џṃ	PROPN
iajs-2676	106	6	,	,	PUNCT
iajs-2676	106	7	ṿṃ	ṿṃ	PROPN
iajs-2676	106	8	are	be	AUX
iajs-2676	106	9	disjoint	disjoint	NOUN
iajs-2676	106	10	,	,	PUNCT
iajs-2676	106	11	џṃ	џṃ	NOUN
iajs-2676	106	12	,	,	PUNCT
iajs-2676	106	13	ibn	ibn	PROPN
iajs-2676	106	14	al	al	PROPN
iajs-2676	106	15	-	-	PUNCT
iajs-2676	106	16	haitham	haitham	PROPN
iajs-2676	106	17	jour	jour	X
iajs-2676	106	18	.	.	PROPN
iajs-2676	107	1	for	for	ADP
iajs-2676	107	2	pure	pure	ADJ
iajs-2676	107	3	&	&	CCONJ
iajs-2676	107	4	appl	appl	PROPN
iajs-2676	107	5	.	.	PUNCT
iajs-2676	108	1	sci	sci	PROPN
iajs-2676	108	2	.	.	PROPN
iajs-2676	109	1	34(3)2021	34(3)2021	NUM
iajs-2676	109	2	42	42	NUM
iajs-2676	109	3	ṿṃ	ṿṃ	NOUN
iajs-2676	109	4	∈	∈	PRON
iajs-2676	109	5	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	109	6	,	,	PUNCT
iajs-2676	109	7	џṃ	џṃ	NOUN
iajs-2676	109	8	,	,	PUNCT
iajs-2676	109	9	ṿṃ	ṿṃ	NOUN
iajs-2676	109	10	∈	∈	NOUN
iajs-2676	109	11	ẛpg‐	ẛpg‐	SYM
iajs-2676	109	12	o(ҳ	o(ҳ	NUM
iajs-2676	109	13	)	)	PUNCT
iajs-2676	109	14	)	)	PUNCT
iajs-2676	110	1	such	such	ADJ
iajs-2676	110	2	that	that	SCONJ
iajs-2676	110	3	ӿṃ	ӿṃ	NUM
iajs-2676	110	4	∈	∈	PROPN
iajs-2676	110	5	џṃ	џṃ	NOUN
iajs-2676	110	6	and	and	CCONJ
iajs-2676	110	7	ς	ς	PROPN
iajs-2676	110	8	ṃ	ṃ	X
iajs-2676	110	9	∈	∈	PROPN
iajs-2676	110	10	vṃ	vṃ	X
iajs-2676	110	11	.	.	PUNCT
iajs-2676	110	12	ҏ2	ҏ2	PROPN
iajs-2676	110	13	wins	win	NOUN
iajs-2676	110	14	in	in	ADP
iajs-2676	110	15	the	the	DET
iajs-2676	110	16	game	game	NOUN
iajs-2676	110	17	where	where	SCONJ
iajs-2676	110	18	ƀ	ƀ	PRON
iajs-2676	110	19	=	=	X
iajs-2676	110	20	{	{	PUNCT
iajs-2676	110	21	{	{	PUNCT
iajs-2676	110	22	џ1	џ1	NOUN
iajs-2676	110	23	,	,	PUNCT
iajs-2676	110	24	ṿ1	ṿ1	NOUN
iajs-2676	110	25	}	}	PUNCT
iajs-2676	110	26	,	,	PUNCT
iajs-2676	110	27	{	{	PUNCT
iajs-2676	110	28	џ2	џ2	ADV
iajs-2676	110	29	,	,	PUNCT
iajs-2676	110	30	ṿ2	ṿ2	ADV
iajs-2676	110	31	}	}	PUNCT
iajs-2676	110	32	,	,	PUNCT
iajs-2676	110	33	…	…	PUNCT
iajs-2676	110	34	,	,	PUNCT
iajs-2676	110	35	{	{	PUNCT
iajs-2676	110	36	џṃ	џṃ	NOUN
iajs-2676	110	37	,	,	PUNCT
iajs-2676	110	38	ṿṃ	ṿṃ	AUX
iajs-2676	110	39	}	}	PUNCT
iajs-2676	110	40	,	,	PUNCT
iajs-2676	110	41	.	.	PUNCT
iajs-2676	110	42	.	.	PUNCT
iajs-2676	110	43	.	.	PUNCT
iajs-2676	111	1	}	}	PUNCT
iajs-2676	111	2	satisfies	satisfy	VERB
iajs-2676	111	3	that	that	SCONJ
iajs-2676	111	4	for	for	SCONJ
iajs-2676	111	5	all	all	PRON
iajs-2676	111	6	ӿṃ	ӿṃ	ADP
iajs-2676	111	7	≠	≠	PROPN
iajs-2676	111	8	ς	ς	PROPN
iajs-2676	111	9	ṃ	ṃ	NOUN
iajs-2676	111	10	in	in	ADP
iajs-2676	111	11	ҳ	ҳ	NOUN
iajs-2676	111	12	there	there	PRON
iajs-2676	111	13	exist	exist	VERB
iajs-2676	111	14	{	{	PUNCT
iajs-2676	111	15	џṃ	џṃ	NOUN
iajs-2676	111	16	,	,	PUNCT
iajs-2676	111	17	ṿṃ	ṿṃ	AUX
iajs-2676	111	18	}	}	PUNCT
iajs-2676	111	19	∈	∈	PROPN
iajs-2676	111	20	ƀ	ƀ	NOUN
iajs-2676	111	21	,	,	PUNCT
iajs-2676	111	22	such	such	ADJ
iajs-2676	111	23	that	that	SCONJ
iajs-2676	111	24	ӿṃ	ӿṃ	NUM
iajs-2676	111	25	∈	∈	PROPN
iajs-2676	111	26	џṃ	џṃ	NOUN
iajs-2676	111	27	and	and	CCONJ
iajs-2676	111	28	ς	ς	PROPN
iajs-2676	111	29	ṃ	ṃ	X
iajs-2676	111	30	∈	∈	ADV
iajs-2676	111	31	ṿṃ	ṿṃ	X
iajs-2676	111	32	.	.	PUNCT
iajs-2676	112	1	other	other	ADJ
iajs-2676	112	2	hand	hand	NOUN
iajs-2676	112	3	ҏ1	ҏ1	ADJ
iajs-2676	112	4	wins	win	VERB
iajs-2676	112	5	.	.	PUNCT
iajs-2676	113	1	remark	remark	PROPN
iajs-2676	113	2	2.16	2.16	NUM
iajs-2676	113	3	.	.	PUNCT
iajs-2676	114	1	for	for	ADP
iajs-2676	114	2	any	any	DET
iajs-2676	114	3	ideal	ideal	ADJ
iajs-2676	114	4	topological	topological	PROPN
iajs-2676	114	5	space(ҳ	space(ҳ	PROPN
iajs-2676	114	6	,	,	PUNCT
iajs-2676	114	7	ṭ	ṭ	PROPN
iajs-2676	114	8	,	,	PUNCT
iajs-2676	114	9	ẛ	ẛ	NOUN
iajs-2676	114	10	):	):	PUNCT
iajs-2676	114	11	1	1	NUM
iajs-2676	114	12	.	.	X
iajs-2676	115	1	if	if	SCONJ
iajs-2676	115	2	(	(	PUNCT
iajs-2676	115	3	ҏ2	ҏ2	NOUN
iajs-2676	115	4	↪	↪	PROPN
iajs-2676	115	5	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	115	6	,	,	PUNCT
iajs-2676	115	7	ҳ	ҳ	NOUN
iajs-2676	115	8	)	)	PUNCT
iajs-2676	115	9	)	)	PUNCT
iajs-2676	115	10	then	then	ADV
iajs-2676	115	11	(	(	PUNCT
iajs-2676	115	12	ҏ2	ҏ2	NOUN
iajs-2676	115	13	↪	↪	PROPN
iajs-2676	115	14	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	115	15	,	,	PUNCT
iajs-2676	115	16	ẛ	ẛ	NOUN
iajs-2676	115	17	)	)	PUNCT
iajs-2676	115	18	)	)	PUNCT
iajs-2676	115	19	.	.	PUNCT
iajs-2676	116	1	2	2	X
iajs-2676	116	2	.	.	X
iajs-2676	116	3	if	if	SCONJ
iajs-2676	116	4	(	(	PUNCT
iajs-2676	116	5	ҏ2	ҏ2	NOUN
iajs-2676	116	6	↩	↩	PROPN
iajs-2676	116	7	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	116	8	,	,	PUNCT
iajs-2676	116	9	ҳ	ҳ	NOUN
iajs-2676	116	10	)	)	PUNCT
iajs-2676	116	11	)	)	PUNCT
iajs-2676	116	12	then	then	ADV
iajs-2676	116	13	(	(	PUNCT
iajs-2676	116	14	ҏ2	ҏ2	VERB
iajs-2676	116	15	↩	↩	PROPN
iajs-2676	116	16	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	116	17	,	,	PUNCT
iajs-2676	116	18	ẛ	ẛ	NOUN
iajs-2676	116	19	)	)	PUNCT
iajs-2676	116	20	)	)	PUNCT
iajs-2676	116	21	.	.	PUNCT
iajs-2676	117	1	3	3	X
iajs-2676	117	2	.	.	X
iajs-2676	118	1	if	if	SCONJ
iajs-2676	118	2	(	(	PUNCT
iajs-2676	118	3	ҏ1	ҏ1	X
iajs-2676	118	4	↪	↪	PROPN
iajs-2676	118	5	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	118	6	,	,	PUNCT
iajs-2676	118	7	ẛ	ẛ	NOUN
iajs-2676	118	8	)	)	PUNCT
iajs-2676	118	9	)	)	PUNCT
iajs-2676	118	10	then	then	ADV
iajs-2676	118	11	(	(	PUNCT
iajs-2676	118	12	ҏ1	ҏ1	PROPN
iajs-2676	118	13	↪	↪	PROPN
iajs-2676	118	14	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	118	15	,	,	PUNCT
iajs-2676	118	16	ҳ	ҳ	NOUN
iajs-2676	118	17	)	)	PUNCT
iajs-2676	118	18	)	)	PUNCT
iajs-2676	118	19	.	.	PUNCT
iajs-2676	119	1	proposition	proposition	NOUN
iajs-2676	119	2	2.17	2.17	NUM
iajs-2676	119	3	.	.	PUNCT
iajs-2676	120	1	if	if	SCONJ
iajs-2676	120	2	(	(	PUNCT
iajs-2676	120	3	ҳ	ҳ	NOUN
iajs-2676	120	4	‚	‚	NUM
iajs-2676	120	5	ṭ	ṭ	NOUN
iajs-2676	120	6	,	,	PUNCT
iajs-2676	120	7	ẛ	ẛ	NOUN
iajs-2676	120	8	)	)	PUNCT
iajs-2676	120	9	is	be	AUX
iajs-2676	120	10	ṫ2‐space	ṫ2‐space	NOUN
iajs-2676	120	11	(	(	PUNCT
iajs-2676	120	12	respectively	respectively	ADV
iajs-2676	120	13	,	,	PUNCT
iajs-2676	120	14	ẛpg‐	ẛpg‐	X
iajs-2676	120	15	ṫ2‐space	ṫ2‐space	NUM
iajs-2676	120	16	)	)	PUNCT
iajs-2676	120	17	(	(	PUNCT
iajs-2676	120	18	ҏ2	ҏ2	NOUN
iajs-2676	120	19	↪	↪	PROPN
iajs-2676	120	20	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	120	21	,	,	PUNCT
iajs-2676	120	22	ҳ	ҳ	NOUN
iajs-2676	120	23	)	)	PUNCT
iajs-2676	120	24	)	)	PUNCT
iajs-2676	120	25	.	.	PUNCT
iajs-2676	121	1	(	(	PUNCT
iajs-2676	121	2	respectively	respectively	ADV
iajs-2676	121	3	,	,	PUNCT
iajs-2676	121	4	(	(	PUNCT
iajs-2676	121	5	ҏ2	ҏ2	NOUN
iajs-2676	121	6	↪	↪	PROPN
iajs-2676	121	7	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	121	8	,	,	PUNCT
iajs-2676	121	9	ẛ	ẛ	NOUN
iajs-2676	121	10	)	)	PUNCT
iajs-2676	121	11	)	)	PUNCT
iajs-2676	121	12	.	.	PUNCT
iajs-2676	122	1	proof	proof	NOUN
iajs-2676	122	2	:	:	PUNCT
iajs-2676	122	3	(	(	PUNCT
iajs-2676	122	4	⇒	⇒	NOUN
iajs-2676	122	5	)	)	PUNCT
iajs-2676	122	6	let	let	VERB
iajs-2676	122	7	(	(	PUNCT
iajs-2676	122	8	ҳ	ҳ	NOUN
iajs-2676	122	9	‚	‚	NUM
iajs-2676	122	10	ṭ	ṭ	NOUN
iajs-2676	122	11	,	,	PUNCT
iajs-2676	122	12	ẛ	ẛ	NOUN
iajs-2676	122	13	)	)	PUNCT
iajs-2676	122	14	be	be	AUX
iajs-2676	122	15	a	a	DET
iajs-2676	122	16	topological	topological	ADJ
iajs-2676	122	17	space	space	NOUN
iajs-2676	122	18	,	,	PUNCT
iajs-2676	122	19	in	in	ADP
iajs-2676	122	20	the	the	DET
iajs-2676	122	21	first	first	ADJ
iajs-2676	122	22	round	round	NOUN
iajs-2676	122	23	,	,	PUNCT
iajs-2676	122	24	ҏ1	ҏ1	X
iajs-2676	122	25	will	will	AUX
iajs-2676	122	26	choose	choose	VERB
iajs-2676	122	27	ӿ1	ӿ1	NOUN
iajs-2676	122	28	≠	≠	PROPN
iajs-2676	122	29	ς	ς	PROPN
iajs-2676	122	30	1	1	NUM
iajs-2676	122	31	.	.	PUNCT
iajs-2676	123	1	next	next	ADV
iajs-2676	123	2	,	,	PUNCT
iajs-2676	123	3	since	since	SCONJ
iajs-2676	123	4	(	(	PUNCT
iajs-2676	123	5	ҳ	ҳ	NOUN
iajs-2676	123	6	‚	‚	NUM
iajs-2676	123	7	ṭ	ṭ	NOUN
iajs-2676	123	8	,	,	PUNCT
iajs-2676	123	9	ẛ	ẛ	NOUN
iajs-2676	123	10	)	)	PUNCT
iajs-2676	123	11	is	be	AUX
iajs-2676	123	12	ṫ2‐	ṫ2‐	NOUN
iajs-2676	123	13	space	space	NOUN
iajs-2676	123	14	(	(	PUNCT
iajs-2676	123	15	respectively	respectively	ADV
iajs-2676	123	16	,	,	PUNCT
iajs-2676	123	17	ẛpg‐	ẛpg‐	PRON
iajs-2676	123	18	ṫ2‐	ṫ2‐	NOUN
iajs-2676	123	19	space	space	NOUN
iajs-2676	123	20	)	)	PUNCT
iajs-2676	123	21	,	,	PUNCT
iajs-2676	123	22	ҏ2	ҏ2	NOUN
iajs-2676	123	23	can	can	AUX
iajs-2676	123	24	be	be	AUX
iajs-2676	123	25	found	find	VERB
iajs-2676	123	26	џ1and	џ1and	PRON
iajs-2676	123	27	ṿ1	ṿ1	NOUN
iajs-2676	123	28	∈	∈	PROPN
iajs-2676	123	29	ṭ	ṭ	PROPN
iajs-2676	123	30	(	(	PUNCT
iajs-2676	123	31	respectively	respectively	ADV
iajs-2676	123	32	џ1and	џ1and	PROPN
iajs-2676	123	33	ṿ1	ṿ1	NOUN
iajs-2676	123	34	∈	∈	PROPN
iajs-2676	123	35	ẛpg‐	ẛpg‐	X
iajs-2676	123	36	o(ҳ	o(ҳ	NUM
iajs-2676	123	37	)	)	PUNCT
iajs-2676	123	38	)	)	PUNCT
iajs-2676	123	39	such	such	ADJ
iajs-2676	123	40	that	that	SCONJ
iajs-2676	123	41	ӿ1	ӿ1	PROPN
iajs-2676	123	42	∈	∈	PROPN
iajs-2676	123	43	џ1	џ1	NOUN
iajs-2676	123	44	and	and	CCONJ
iajs-2676	123	45	ς	ς	PROPN
iajs-2676	123	46	1	1	NUM
iajs-2676	123	47	∈	∈	PROPN
iajs-2676	123	48	ṿ1	ṿ1	NOUN
iajs-2676	123	49	,	,	PUNCT
iajs-2676	123	50	џ1	џ1	NOUN
iajs-2676	123	51	∩	∩	ADJ
iajs-2676	123	52	ṿ1	ṿ1	NOUN
iajs-2676	123	53	=	=	PUNCT
iajs-2676	123	54	∅	∅	NOUN
iajs-2676	123	55	,	,	PUNCT
iajs-2676	123	56	in	in	ADP
iajs-2676	123	57	the	the	DET
iajs-2676	123	58	second	second	ADJ
iajs-2676	123	59	round	round	NOUN
iajs-2676	123	60	,	,	PUNCT
iajs-2676	123	61	ҏ1	ҏ1	X
iajs-2676	123	62	will	will	AUX
iajs-2676	123	63	choose	choose	VERB
iajs-2676	123	64	ӿ2	ӿ2	PROPN
iajs-2676	123	65	≠	≠	PROPN
iajs-2676	123	66	ς	ς	PROPN
iajs-2676	123	67	2	2	NUM
iajs-2676	123	68	.	.	PUNCT
iajs-2676	124	1	next	next	ADV
iajs-2676	124	2	,	,	PUNCT
iajs-2676	124	3	ҏ2	ҏ2	NOUN
iajs-2676	124	4	choose	choose	VERB
iajs-2676	124	5	џ2and	џ2and	NUM
iajs-2676	124	6	ṿ2	ṿ2	NOUN
iajs-2676	124	7	∈	∈	PROPN
iajs-2676	124	8	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	124	9	џ1and	џ1and	NUM
iajs-2676	124	10	ṿ2	ṿ2	VERB
iajs-2676	124	11	∈	∈	NOUN
iajs-2676	124	12	ẛpg‐	ẛpg‐	X
iajs-2676	124	13	o(ҳ	o(ҳ	NUM
iajs-2676	124	14	)	)	PUNCT
iajs-2676	124	15	)	)	PUNCT
iajs-2676	125	1	such	such	ADJ
iajs-2676	125	2	that	that	SCONJ
iajs-2676	125	3	ӿ2	ӿ2	PROPN
iajs-2676	125	4	∈	∈	PROPN
iajs-2676	125	5	џ2	џ2	PROPN
iajs-2676	125	6	and	and	CCONJ
iajs-2676	125	7	ς	ς	PROPN
iajs-2676	125	8	2	2	NUM
iajs-2676	125	9	∈	∈	NOUN
iajs-2676	125	10	ṿ2	ṿ2	NOUN
iajs-2676	125	11	,	,	PUNCT
iajs-2676	125	12	џ2	џ2	NOUN
iajs-2676	125	13	∩	∩	NOUN
iajs-2676	125	14	ṿ2	ṿ2	NOUN
iajs-2676	125	15	=	=	SYM
iajs-2676	125	16	∅	∅	NOUN
iajs-2676	125	17	,	,	PUNCT
iajs-2676	125	18	in	in	ADP
iajs-2676	125	19	the	the	DET
iajs-2676	125	20	ṃ‐	ṃ‐	PROPN
iajs-2676	125	21	th	th	X
iajs-2676	125	22	round	round	NOUN
iajs-2676	125	23	,	,	PUNCT
iajs-2676	125	24	ҏ1	ҏ1	X
iajs-2676	125	25	will	will	AUX
iajs-2676	125	26	choose	choose	VERB
iajs-2676	125	27	ӿṃ	ӿṃ	PRON
iajs-2676	125	28	≠	≠	PROPN
iajs-2676	125	29	ς	ς	NOUN
iajs-2676	125	30	ṃ	ṃ	NOUN
iajs-2676	125	31	.	.	PUNCT
iajs-2676	126	1	next	next	ADV
iajs-2676	126	2	,	,	PUNCT
iajs-2676	126	3	ҏ2	ҏ2	NOUN
iajs-2676	126	4	choose	choose	VERB
iajs-2676	126	5	џṃ	џṃ	NOUN
iajs-2676	126	6	and	and	CCONJ
iajs-2676	126	7	ṿṃ	ṿṃ	PRON
iajs-2676	126	8	∈	∈	NOUN
iajs-2676	126	9	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	126	10	,	,	PUNCT
iajs-2676	126	11	џṃand	џṃand	NOUN
iajs-2676	126	12	ṿṃ	ṿṃ	DET
iajs-2676	126	13	∈	∈	NOUN
iajs-2676	126	14	ẛpg‐	ẛpg‐	X
iajs-2676	126	15	o(ҳ	o(ҳ	NUM
iajs-2676	126	16	)	)	PUNCT
iajs-2676	126	17	)	)	PUNCT
iajs-2676	127	1	such	such	ADJ
iajs-2676	127	2	that	that	SCONJ
iajs-2676	127	3	ӿṃ	ӿṃ	NUM
iajs-2676	127	4	∈	∈	PROPN
iajs-2676	127	5	џṃ	џṃ	NOUN
iajs-2676	127	6	and	and	CCONJ
iajs-2676	127	7	ς	ς	PROPN
iajs-2676	127	8	ṃ	ṃ	X
iajs-2676	127	9	∈	∈	PROPN
iajs-2676	127	10	ṿṃ	ṿṃ	NOUN
iajs-2676	127	11	,	,	PUNCT
iajs-2676	127	12	џṃ	џṃ	NOUN
iajs-2676	127	13	∩	∩	NOUN
iajs-2676	127	14	ṿṃ	ṿṃ	NOUN
iajs-2676	127	15	=	=	PUNCT
iajs-2676	127	16	∅.	∅.	VERB
iajs-2676	127	17	so	so	ADV
iajs-2676	127	18	ƀ	ƀ	PRON
iajs-2676	128	1	=	=	PRON
iajs-2676	128	2	{	{	PUNCT
iajs-2676	128	3	{	{	PUNCT
iajs-2676	128	4	џ1	џ1	NOUN
iajs-2676	128	5	,	,	PUNCT
iajs-2676	128	6	ṿ1	ṿ1	NOUN
iajs-2676	128	7	}	}	PUNCT
iajs-2676	128	8	,	,	PUNCT
iajs-2676	128	9	{	{	PUNCT
iajs-2676	128	10	џ2	џ2	ADV
iajs-2676	128	11	,	,	PUNCT
iajs-2676	128	12	ṿ2	ṿ2	ADV
iajs-2676	128	13	}	}	PUNCT
iajs-2676	128	14	,	,	PUNCT
iajs-2676	128	15	…	…	PUNCT
iajs-2676	128	16	,	,	PUNCT
iajs-2676	128	17	{	{	PUNCT
iajs-2676	128	18	џṃ	џṃ	NOUN
iajs-2676	128	19	,	,	PUNCT
iajs-2676	128	20	ṿṃ	ṿṃ	NOUN
iajs-2676	128	21	}	}	PUNCT
iajs-2676	128	22	…	…	PUNCT
iajs-2676	128	23	}	}	PUNCT
iajs-2676	128	24	is	be	AUX
iajs-2676	128	25	the	the	DET
iajs-2676	128	26	winning	win	VERB
iajs-2676	128	27	strategy	strategy	NOUN
iajs-2676	128	28	for	for	ADP
iajs-2676	128	29	ҏ2	ҏ2	PROPN
iajs-2676	128	30	.	.	PUNCT
iajs-2676	129	1	(	(	PUNCT
iajs-2676	129	2	⇐	⇐	ADJ
iajs-2676	129	3	)	)	PUNCT
iajs-2676	129	4	clear	clear	ADJ
iajs-2676	129	5	.	.	PUNCT
iajs-2676	130	1	corollary	corollary	ADJ
iajs-2676	130	2	2.18	2.18	NUM
iajs-2676	130	3	.	.	PUNCT
iajs-2676	131	1	if	if	SCONJ
iajs-2676	131	2	(	(	PUNCT
iajs-2676	131	3	ҳ	ҳ	NOUN
iajs-2676	131	4	‚	‚	NUM
iajs-2676	131	5	ṭ	ṭ	NOUN
iajs-2676	131	6	,	,	PUNCT
iajs-2676	131	7	ẛ	ẛ	NOUN
iajs-2676	131	8	)	)	PUNCT
iajs-2676	131	9	is	be	AUX
iajs-2676	131	10	ṫ2‐space	ṫ2‐space	NOUN
iajs-2676	131	11	(	(	PUNCT
iajs-2676	131	12	respectively	respectively	ADV
iajs-2676	131	13	,	,	PUNCT
iajs-2676	131	14	ẛpg‐	ẛpg‐	X
iajs-2676	131	15	ṫ2‐space	ṫ2‐space	NUM
iajs-2676	131	16	)	)	PUNCT
iajs-2676	131	17	(	(	PUNCT
iajs-2676	131	18	ҏ1	ҏ1	X
iajs-2676	131	19	↬	↬	PROPN
iajs-2676	131	20	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	131	21	,	,	PUNCT
iajs-2676	131	22	ҳ	ҳ	NOUN
iajs-2676	131	23	)	)	PUNCT
iajs-2676	131	24	)	)	PUNCT
iajs-2676	131	25	.	.	PUNCT
iajs-2676	132	1	(	(	PUNCT
iajs-2676	132	2	respectively	respectively	ADV
iajs-2676	132	3	,	,	PUNCT
iajs-2676	132	4	(	(	PUNCT
iajs-2676	132	5	ҏ1	ҏ1	X
iajs-2676	132	6	↬	↬	NOUN
iajs-2676	132	7	ģ(ṫ2	ģ(ṫ2	PROPN
iajs-2676	132	8	,	,	PUNCT
iajs-2676	132	9	ẛ	ẛ	NOUN
iajs-2676	132	10	)	)	PUNCT
iajs-2676	132	11	)	)	PUNCT
iajs-2676	132	12	.	.	PUNCT
iajs-2676	133	1	proposition	proposition	NOUN
iajs-2676	133	2	2.19	2.19	NUM
iajs-2676	133	3	.	.	PUNCT
iajs-2676	134	1	(	(	PUNCT
iajs-2676	134	2	ҳ	ҳ	NOUN
iajs-2676	134	3	‚	‚	NUM
iajs-2676	134	4	ṭ	ṭ	NOUN
iajs-2676	134	5	,	,	PUNCT
iajs-2676	134	6	ẛ	ẛ	NOUN
iajs-2676	134	7	)	)	PUNCT
iajs-2676	134	8	is	be	AUX
iajs-2676	134	9	not	not	PART
iajs-2676	134	10	ṫ2‐space(respectively	ṫ2‐space(respectively	ADV
iajs-2676	134	11	not	not	PART
iajs-2676	134	12	ẛpg‐	ẛpg‐	NOUN
iajs-2676	134	13	ṫ2‐space	ṫ2‐space	NUM
iajs-2676	134	14	)	)	PUNCT
iajs-2676	134	15	(	(	PUNCT
iajs-2676	134	16	ҏ1	ҏ1	X
iajs-2676	134	17	↪	↪	PROPN
iajs-2676	134	18	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	134	19	,	,	PUNCT
iajs-2676	134	20	ҳ	ҳ	NOUN
iajs-2676	134	21	)	)	PUNCT
iajs-2676	134	22	)	)	PUNCT
iajs-2676	134	23	(	(	PUNCT
iajs-2676	134	24	respectively	respectively	ADV
iajs-2676	134	25	(	(	PUNCT
iajs-2676	134	26	ҏ1	ҏ1	PROPN
iajs-2676	134	27	↪	↪	PROPN
iajs-2676	134	28	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	134	29	,	,	PUNCT
iajs-2676	134	30	ẛ	ẛ	NOUN
iajs-2676	134	31	)	)	PUNCT
iajs-2676	134	32	)	)	PUNCT
iajs-2676	134	33	.	.	PUNCT
iajs-2676	135	1	corollary	corollary	ADJ
iajs-2676	135	2	2.20	2.20	NUM
iajs-2676	135	3	.	.	PUNCT
iajs-2676	136	1	(	(	PUNCT
iajs-2676	136	2	ҳ	ҳ	NOUN
iajs-2676	136	3	‚	‚	NUM
iajs-2676	136	4	ṭ	ṭ	NOUN
iajs-2676	136	5	,	,	PUNCT
iajs-2676	136	6	ẛ	ẛ	NOUN
iajs-2676	136	7	)	)	PUNCT
iajs-2676	136	8	is	be	AUX
iajs-2676	136	9	not	not	PART
iajs-2676	136	10	ṫ2‐space	ṫ2‐space	NUM
iajs-2676	136	11	(	(	PUNCT
iajs-2676	136	12	respectively	respectively	ADV
iajs-2676	136	13	not	not	PART
iajs-2676	136	14	ẛpg‐	ẛpg‐	NOUN
iajs-2676	136	15	ṫ0‐space	ṫ0‐space	NUM
iajs-2676	136	16	)	)	PUNCT
iajs-2676	136	17	(	(	PUNCT
iajs-2676	136	18	ҏ2	ҏ2	NOUN
iajs-2676	136	19	↬	↬	PROPN
iajs-2676	136	20	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	136	21	,	,	PUNCT
iajs-2676	136	22	ҳ	ҳ	NOUN
iajs-2676	136	23	)	)	PUNCT
iajs-2676	136	24	)	)	PUNCT
iajs-2676	136	25	(	(	PUNCT
iajs-2676	136	26	respectively(ҏ2	respectively(ҏ2	PROPN
iajs-2676	136	27	↬	↬	PROPN
iajs-2676	136	28	ģ(ṫ2	ģ(ṫ2	PROPN
iajs-2676	136	29	,	,	PUNCT
iajs-2676	136	30	ẛ	ẛ	NOUN
iajs-2676	136	31	)	)	PUNCT
iajs-2676	136	32	)	)	PUNCT
iajs-2676	136	33	.	.	PUNCT
iajs-2676	137	1	remark	remark	VERB
iajs-2676	137	2	2.21	2.21	NUM
iajs-2676	137	3	.	.	PUNCT
iajs-2676	138	1	for	for	ADP
iajs-2676	138	2	any	any	DET
iajs-2676	138	3	space	space	NOUN
iajs-2676	138	4	(	(	PUNCT
iajs-2676	138	5	ṭ	ṭ	NOUN
iajs-2676	138	6	,	,	PUNCT
iajs-2676	138	7	ҳ	ҳ	NOUN
iajs-2676	138	8	,	,	PUNCT
iajs-2676	138	9	ẛ	ẛ	NOUN
iajs-2676	138	10	)	)	PUNCT
iajs-2676	138	11	1	1	NUM
iajs-2676	138	12	.	.	PUNCT
iajs-2676	139	1	(	(	PUNCT
iajs-2676	139	2	ҏ2	ҏ2	VERB
iajs-2676	139	3	↪	↪	PROPN
iajs-2676	139	4	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	139	5	,	,	PUNCT
iajs-2676	139	6	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	139	7	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	139	8	,	,	PUNCT
iajs-2676	139	9	ẛ	ẛ	NOUN
iajs-2676	139	10	)	)	PUNCT
iajs-2676	139	11	)	)	PUNCT
iajs-2676	139	12	;	;	PUNCT
iajs-2676	140	1	i	i	PRON
iajs-2676	140	2	=	=	SYM
iajs-2676	140	3	{	{	PUNCT
iajs-2676	140	4	0,1	0,1	NOUN
iajs-2676	140	5	}	}	PUNCT
iajs-2676	140	6	then	then	ADV
iajs-2676	140	7	(	(	PUNCT
iajs-2676	140	8	ҏ2	ҏ2	NOUN
iajs-2676	140	9	↪	↪	PROPN
iajs-2676	140	10	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	140	11	,	,	PUNCT
iajs-2676	140	12	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	140	13	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	140	14	,	,	PUNCT
iajs-2676	140	15	ẛ	ẛ	NOUN
iajs-2676	140	16	)	)	PUNCT
iajs-2676	140	17	)	)	PUNCT
iajs-2676	140	18	.	.	PUNCT
iajs-2676	141	1	2	2	X
iajs-2676	141	2	.	.	PUNCT
iajs-2676	141	3	(	(	PUNCT
iajs-2676	141	4	ҏ2	ҏ2	NOUN
iajs-2676	141	5	↬	↬	NOUN
iajs-2676	141	6	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	141	7	,	,	PUNCT
iajs-2676	141	8	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	141	9	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	141	10	,	,	PUNCT
iajs-2676	141	11	ẛ	ẛ	NOUN
iajs-2676	141	12	)	)	PUNCT
iajs-2676	141	13	)	)	PUNCT
iajs-2676	141	14	;	;	PUNCT
iajs-2676	142	1	i	i	PRON
iajs-2676	142	2	=	=	SYM
iajs-2676	142	3	{	{	PUNCT
iajs-2676	142	4	0,1	0,1	NOUN
iajs-2676	142	5	}	}	PUNCT
iajs-2676	142	6	then	then	ADV
iajs-2676	142	7	(	(	PUNCT
iajs-2676	142	8	ҏ2	ҏ2	NOUN
iajs-2676	142	9	↬	↬	PROPN
iajs-2676	142	10	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	142	11	,	,	PUNCT
iajs-2676	142	12	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	142	13	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	142	14	,	,	PUNCT
iajs-2676	142	15	ẛ	ẛ	NOUN
iajs-2676	142	16	)	)	PUNCT
iajs-2676	142	17	)	)	PUNCT
iajs-2676	142	18	.	.	PUNCT
iajs-2676	143	1	ibn	ibn	PROPN
iajs-2676	143	2	al	al	PROPN
iajs-2676	143	3	-	-	PUNCT
iajs-2676	143	4	haitham	haitham	PROPN
iajs-2676	143	5	jour	jour	X
iajs-2676	143	6	.	.	PROPN
iajs-2676	143	7	for	for	ADP
iajs-2676	143	8	pure	pure	ADJ
iajs-2676	143	9	&	&	CCONJ
iajs-2676	143	10	appl	appl	PROPN
iajs-2676	143	11	.	.	PUNCT
iajs-2676	144	1	sci	sci	PROPN
iajs-2676	144	2	.	.	PROPN
iajs-2676	145	1	34(3)2021	34(3)2021	NUM
iajs-2676	145	2	43	43	NUM
iajs-2676	145	3	the	the	DET
iajs-2676	145	4	following	follow	VERB
iajs-2676	145	5	(	(	PUNCT
iajs-2676	145	6	fig	fig	NOUN
iajs-2676	145	7	)	)	PUNCT
iajs-2676	145	8	illustrates	illustrate	VERB
iajs-2676	145	9	the	the	DET
iajs-2676	145	10	relationships	relationship	NOUN
iajs-2676	145	11	given	give	VERB
iajs-2676	145	12	in	in	ADP
iajs-2676	145	13	remark	remark	NOUN
iajs-2676	145	14	2.2	2.2	NUM
iajs-2676	145	15	figure	figure	NOUN
iajs-2676	145	16	1	1	NUM
iajs-2676	145	17	.	.	PUNCT
iajs-2676	146	1	the	the	DET
iajs-2676	146	2	winning	win	VERB
iajs-2676	146	3	strategy	strategy	NOUN
iajs-2676	146	4	for	for	ADP
iajs-2676	146	5	ҏ2	ҏ2	NOUN
iajs-2676	146	6	in	in	ADP
iajs-2676	146	7	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	146	8	,	,	PUNCT
iajs-2676	146	9	ҳ	ҳ	NOUN
iajs-2676	146	10	)	)	PUNCT
iajs-2676	146	11	,	,	PUNCT
iajs-2676	146	12	i=	i=	PROPN
iajs-2676	146	13	{	{	PUNCT
iajs-2676	146	14	0	0	NUM
iajs-2676	146	15	,	,	PUNCT
iajs-2676	146	16	1	1	NUM
iajs-2676	146	17	,	,	PUNCT
iajs-2676	146	18	2	2	NUM
iajs-2676	146	19	}	}	PUNCT
iajs-2676	146	20	remark	remark	NOUN
iajs-2676	146	21	2.22	2.22	NUM
iajs-2676	146	22	.	.	PUNCT
iajs-2676	147	1	for	for	ADP
iajs-2676	147	2	any	any	DET
iajs-2676	147	3	space	space	NOUN
iajs-2676	147	4	(	(	PUNCT
iajs-2676	147	5	ṭ	ṭ	NOUN
iajs-2676	147	6	,	,	PUNCT
iajs-2676	147	7	ҳ	ҳ	NOUN
iajs-2676	147	8	,	,	PUNCT
iajs-2676	147	9	ẛ	ẛ	NOUN
iajs-2676	147	10	)	)	PUNCT
iajs-2676	147	11	1	1	NUM
iajs-2676	147	12	.	.	PUNCT
iajs-2676	148	1	(	(	PUNCT
iajs-2676	148	2	ҏ1	ҏ1	X
iajs-2676	148	3	↪	↪	PROPN
iajs-2676	148	4	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	148	5	,	,	PUNCT
iajs-2676	148	6	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	148	7	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	148	8	,	,	PUNCT
iajs-2676	148	9	ẛ	ẛ	NOUN
iajs-2676	148	10	)	)	PUNCT
iajs-2676	148	11	)	)	PUNCT
iajs-2676	148	12	;	;	PUNCT
iajs-2676	149	1	i	i	PRON
iajs-2676	149	2	=	=	SYM
iajs-2676	149	3	{	{	PUNCT
iajs-2676	149	4	0,1	0,1	NOUN
iajs-2676	149	5	}	}	PUNCT
iajs-2676	149	6	then	then	ADV
iajs-2676	149	7	(	(	PUNCT
iajs-2676	149	8	ҏ1	ҏ1	X
iajs-2676	149	9	↪	↪	PROPN
iajs-2676	149	10	ģ(ṫi+1	ģ(ṫi+1	NOUN
iajs-2676	149	11	,	,	PUNCT
iajs-2676	149	12	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	149	13	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	149	14	,	,	PUNCT
iajs-2676	149	15	ẛ	ẛ	NOUN
iajs-2676	149	16	)	)	PUNCT
iajs-2676	149	17	)	)	PUNCT
iajs-2676	149	18	.	.	PUNCT
iajs-2676	150	1	2	2	X
iajs-2676	150	2	.	.	PUNCT
iajs-2676	150	3	(	(	PUNCT
iajs-2676	150	4	ҏ2	ҏ2	NOUN
iajs-2676	150	5	↬	↬	PROPN
iajs-2676	150	6	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	150	7	,	,	PUNCT
iajs-2676	150	8	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	150	9	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	150	10	,	,	PUNCT
iajs-2676	150	11	ẛ	ẛ	NOUN
iajs-2676	150	12	)	)	PUNCT
iajs-2676	150	13	)	)	PUNCT
iajs-2676	150	14	;	;	PUNCT
iajs-2676	151	1	i	i	PRON
iajs-2676	151	2	=	=	SYM
iajs-2676	151	3	{	{	PUNCT
iajs-2676	151	4	0,1	0,1	NOUN
iajs-2676	151	5	}	}	PUNCT
iajs-2676	151	6	then	then	ADV
iajs-2676	151	7	(	(	PUNCT
iajs-2676	151	8	ҏ2	ҏ2	NOUN
iajs-2676	151	9	↬	↬	NOUN
iajs-2676	151	10	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	151	11	,	,	PUNCT
iajs-2676	151	12	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	151	13	ģ(ṫi+1	ģ(ṫi+1	PROPN
iajs-2676	151	14	,	,	PUNCT
iajs-2676	151	15	ẛ	ẛ	NOUN
iajs-2676	151	16	)	)	PUNCT
iajs-2676	151	17	)	)	PUNCT
iajs-2676	151	18	.	.	PUNCT
iajs-2676	152	1	the	the	DET
iajs-2676	152	2	following	follow	VERB
iajs-2676	152	3	figure	figure	NOUN
iajs-2676	152	4	illustrates	illustrate	VERB
iajs-2676	152	5	the	the	DET
iajs-2676	152	6	relationships	relationship	NOUN
iajs-2676	152	7	given	give	VERB
iajs-2676	152	8	in	in	ADP
iajs-2676	152	9	remark	remark	NOUN
iajs-2676	152	10	2.22	2.22	NUM
iajs-2676	152	11	:	:	PUNCT
iajs-2676	152	12	ҏ2	ҏ2	NOUN
iajs-2676	152	13	↪	↪	PROPN
iajs-2676	152	14	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	152	15	,	,	PUNCT
iajs-2676	152	16	ẛ	ẛ	NOUN
iajs-2676	152	17	)	)	PUNCT
iajs-2676	152	18	ẛpg‐	ẛpg‐	NUM
iajs-2676	153	1	ṫ2	ṫ2	PROPN
iajs-2676	153	2	space	space	NOUN
iajs-2676	153	3	ṫ2	ṫ2	PROPN
iajs-2676	153	4	space	space	NOUN
iajs-2676	153	5	ҏ2	ҏ2	NOUN
iajs-2676	153	6	↪	↪	PROPN
iajs-2676	153	7	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	153	8	,	,	PUNCT
iajs-2676	153	9	ҳ	ҳ	NOUN
iajs-2676	153	10	)	)	PUNCT
iajs-2676	153	11	ҏ1	ҏ1	ADJ
iajs-2676	153	12	↬	↬	PROPN
iajs-2676	153	13	ģ(ṫ2	ģ(ṫ2	PROPN
iajs-2676	153	14	,	,	PUNCT
iajs-2676	153	15	ẛ	ẛ	NOUN
iajs-2676	153	16	)	)	PUNCT
iajs-2676	153	17	ҏ1	ҏ1	ADJ
iajs-2676	153	18	↬	↬	PROPN
iajs-2676	153	19	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	153	20	,	,	PUNCT
iajs-2676	153	21	ҳ	ҳ	X
iajs-2676	153	22	)	)	PUNCT
iajs-2676	153	23	ҏ2	ҏ2	NOUN
iajs-2676	153	24	↪	↪	PROPN
iajs-2676	153	25	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	153	26	,	,	PUNCT
iajs-2676	153	27	ẛ	ẛ	X
iajs-2676	153	28	)	)	PUNCT
iajs-2676	153	29	ẛpg‐	ẛpg‐	PROPN
iajs-2676	153	30	ṫ1space	ṫ1space	NOUN
iajs-2676	153	31	ṫ1space	ṫ1space	NOUN
iajs-2676	153	32	ҏ2	ҏ2	NOUN
iajs-2676	153	33	↪	↪	PROPN
iajs-2676	153	34	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	153	35	,	,	PUNCT
iajs-2676	153	36	ҳ	ҳ	NOUN
iajs-2676	153	37	)	)	PUNCT
iajs-2676	153	38	ҏ1	ҏ1	X
iajs-2676	153	39	↬	↬	PROPN
iajs-2676	153	40	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	153	41	,	,	PUNCT
iajs-2676	153	42	ẛ	ẛ	NOUN
iajs-2676	153	43	)	)	PUNCT
iajs-2676	153	44	ҏ1	ҏ1	X
iajs-2676	153	45	↬	↬	PROPN
iajs-2676	153	46	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	153	47	,	,	PUNCT
iajs-2676	153	48	ҳ	ҳ	NOUN
iajs-2676	153	49	)	)	PUNCT
iajs-2676	153	50	ҏ2	ҏ2	NOUN
iajs-2676	153	51	↪	↪	PROPN
iajs-2676	153	52	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	153	53	,	,	PUNCT
iajs-2676	153	54	ẛ	ẛ	NOUN
iajs-2676	153	55	)	)	PUNCT
iajs-2676	153	56	ẛpg‐	ẛpg‐	X
iajs-2676	153	57	ṫ0space	ṫ0space	NOUN
iajs-2676	153	58	ṫ0space	ṫ0space	NOUN
iajs-2676	153	59	ҏ2	ҏ2	NOUN
iajs-2676	153	60	↪	↪	PROPN
iajs-2676	153	61	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	153	62	,	,	PUNCT
iajs-2676	153	63	ҳ	ҳ	NOUN
iajs-2676	153	64	)	)	PUNCT
iajs-2676	153	65	ҏ1	ҏ1	X
iajs-2676	153	66	↬	↬	X
iajs-2676	153	67	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	153	68	,	,	PUNCT
iajs-2676	153	69	ẛ	ẛ	NOUN
iajs-2676	153	70	)	)	PUNCT
iajs-2676	153	71	ҏ1	ҏ1	X
iajs-2676	153	72	↬	↬	X
iajs-2676	153	73	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	153	74	,	,	PUNCT
iajs-2676	153	75	ҳ	ҳ	NOUN
iajs-2676	153	76	)	)	PUNCT
iajs-2676	153	77	ibn	ibn	PROPN
iajs-2676	153	78	al	al	PROPN
iajs-2676	153	79	-	-	PUNCT
iajs-2676	153	80	haitham	haitham	PROPN
iajs-2676	153	81	jour	jour	X
iajs-2676	153	82	.	.	PROPN
iajs-2676	153	83	for	for	ADP
iajs-2676	153	84	pure	pure	ADJ
iajs-2676	153	85	&	&	CCONJ
iajs-2676	153	86	appl	appl	PROPN
iajs-2676	153	87	.	.	PUNCT
iajs-2676	154	1	sci	sci	PROPN
iajs-2676	154	2	.	.	PROPN
iajs-2676	155	1	34(3)2021	34(3)2021	NUM
iajs-2676	155	2	44	44	NUM
iajs-2676	155	3	figure	figure	NOUN
iajs-2676	155	4	2	2	NUM
iajs-2676	155	5	.	.	PUNCT
iajs-2676	156	1	the	the	DET
iajs-2676	156	2	winning	win	VERB
iajs-2676	156	3	strategy	strategy	NOUN
iajs-2676	156	4	for	for	ADP
iajs-2676	156	5	ҏ1	ҏ1	ADJ
iajs-2676	156	6	in	in	ADP
iajs-2676	156	7	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	156	8	,	,	PUNCT
iajs-2676	156	9	ҳ	ҳ	NOUN
iajs-2676	156	10	)	)	PUNCT
iajs-2676	156	11	,	,	PUNCT
iajs-2676	156	12	i=	i=	PROPN
iajs-2676	156	13	{	{	PUNCT
iajs-2676	156	14	0	0	NUM
iajs-2676	156	15	,	,	PUNCT
iajs-2676	156	16	1	1	NUM
iajs-2676	156	17	,	,	PUNCT
iajs-2676	156	18	2	2	NUM
iajs-2676	156	19	}	}	SYM
iajs-2676	156	20	3	3	NUM
iajs-2676	156	21	.	.	PUNCT
iajs-2676	157	1	the	the	DET
iajs-2676	157	2	games	game	NOUN
iajs-2676	157	3	with	with	ADP
iajs-2676	157	4	open	open	ADJ
iajs-2676	157	5	functions	function	NOUN
iajs-2676	157	6	via	via	ADP
iajs-2676	157	7	ẛ𝐩𝐠‐𝐨𝐩𝐞𝐧	ẛ𝐩𝐠‐𝐨𝐩𝐞𝐧	PROPN
iajs-2676	157	8	sets	set	NOUN
iajs-2676	157	9	.	.	PUNCT
iajs-2676	158	1	by	by	ADP
iajs-2676	158	2	using	use	VERB
iajs-2676	158	3	open	open	ADJ
iajs-2676	158	4	function	function	NOUN
iajs-2676	158	5	via	via	ADP
iajs-2676	158	6	ẛpg‐open	ẛpg‐open	ADJ
iajs-2676	158	7	sets	set	NOUN
iajs-2676	158	8	;	;	PUNCT
iajs-2676	158	9	you	you	PRON
iajs-2676	158	10	can	can	AUX
iajs-2676	158	11	determine	determine	VERB
iajs-2676	158	12	the	the	DET
iajs-2676	158	13	winning	win	VERB
iajs-2676	158	14	strategy	strategy	NOUN
iajs-2676	158	15	for	for	ADP
iajs-2676	158	16	any	any	DET
iajs-2676	158	17	players	player	NOUN
iajs-2676	158	18	in	in	ADP
iajs-2676	158	19	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	158	20	,	,	PUNCT
iajs-2676	158	21	ҳ	ҳ	NOUN
iajs-2676	158	22	)	)	PUNCT
iajs-2676	158	23	)	)	PUNCT
iajs-2676	158	24	;	;	PUNCT
iajs-2676	158	25	and	and	CCONJ
iajs-2676	158	26	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	158	27	,	,	PUNCT
iajs-2676	158	28	ẛ	ẛ	NOUN
iajs-2676	158	29	)	)	PUNCT
iajs-2676	158	30	)	)	PUNCT
iajs-2676	158	31	where	where	SCONJ
iajs-2676	158	32	i={0,1,2	i={0,1,2	ADV
iajs-2676	158	33	}	}	PUNCT
iajs-2676	158	34	.	.	PUNCT
iajs-2676	159	1	definition	definition	NOUN
iajs-2676	159	2	3.1	3.1	NUM
iajs-2676	159	3	.	.	PUNCT
iajs-2676	160	1	(	(	PUNCT
iajs-2676	160	2	1	1	X
iajs-2676	160	3	)	)	PUNCT
iajs-2676	160	4	a	a	DET
iajs-2676	160	5	function	function	NOUN
iajs-2676	160	6	ᶂ	ᶂ	PROPN
iajs-2676	160	7	∶	∶	NOUN
iajs-2676	160	8	(	(	PUNCT
iajs-2676	160	9	ҳ	ҳ	NOUN
iajs-2676	160	10	,	,	PUNCT
iajs-2676	160	11	ṭ	ṭ	NOUN
iajs-2676	160	12	,	,	PUNCT
iajs-2676	160	13	ẛ	ẛ	NOUN
iajs-2676	160	14	)	)	PUNCT
iajs-2676	160	15			PUNCT
iajs-2676	161	1	(	(	PUNCT
iajs-2676	161	2	ὑ	ὑ	INTJ
iajs-2676	161	3	,	,	PUNCT
iajs-2676	161	4	ԏ	ԏ	PROPN
iajs-2676	161	5	,	,	PUNCT
iajs-2676	161	6	ɉ	ɉ	NOUN
iajs-2676	161	7	)	)	PUNCT
iajs-2676	161	8	is	be	AUX
iajs-2676	161	9	1	1	NUM
iajs-2676	161	10	.	.	PUNCT
iajs-2676	161	11	ẛ‐pre‐g‐open	ẛ‐pre‐g‐open	ADJ
iajs-2676	161	12	function	function	NOUN
iajs-2676	161	13	,	,	PUNCT
iajs-2676	161	14	symbolizes	symbolize	VERB
iajs-2676	161	15	ẛpgo‐function	ẛpgo‐function	NOUN
iajs-2676	161	16	if	if	SCONJ
iajs-2676	161	17	ᶂ(џ	ᶂ(џ	NOUN
iajs-2676	161	18	)	)	PUNCT
iajs-2676	161	19	is	be	AUX
iajs-2676	161	20	a	a	DET
iajs-2676	161	21	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	161	22	set	set	NOUN
iajs-2676	161	23	in	in	ADP
iajs-2676	161	24	ὑ	ὑ	NOUN
iajs-2676	161	25	whenever	whenever	SCONJ
iajs-2676	161	26	џ	џ	PROPN
iajs-2676	161	27	is	be	AUX
iajs-2676	161	28	an	an	DET
iajs-2676	161	29	ẛpg‐open	ẛpg‐open	NOUN
iajs-2676	161	30	set	set	NOUN
iajs-2676	161	31	in	in	ADP
iajs-2676	161	32	ҳ.	ҳ.	ADJ
iajs-2676	161	33	2	2	NUM
iajs-2676	161	34	.	.	X
iajs-2676	161	35	ẛ	ẛ	PRON
iajs-2676	161	36	∗‐pre‐g‐open	∗‐pre‐g‐open	ADJ
iajs-2676	161	37	function	function	NOUN
iajs-2676	161	38	,	,	PUNCT
iajs-2676	161	39	symbolizes	symbolize	VERB
iajs-2676	161	40	ẛ	ẛ	DET
iajs-2676	161	41	∗pgo‐function	∗pgo‐function	NOUN
iajs-2676	161	42	if	if	SCONJ
iajs-2676	161	43	ᶂ	ᶂ	X
iajs-2676	161	44	(	(	PUNCT
iajs-2676	161	45	џ	џ	NOUN
iajs-2676	161	46	)	)	PUNCT
iajs-2676	161	47	is	be	AUX
iajs-2676	161	48	a	a	DET
iajs-2676	161	49	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	161	50	set	set	NOUN
iajs-2676	161	51	in	in	ADP
iajs-2676	161	52	ὑ	ὑ	NOUN
iajs-2676	161	53	whenever	whenever	SCONJ
iajs-2676	161	54	џ	џ	PROPN
iajs-2676	161	55	is	be	AUX
iajs-2676	161	56	an	an	DET
iajs-2676	161	57	open	open	ADJ
iajs-2676	161	58	set	set	NOUN
iajs-2676	161	59	in	in	ADP
iajs-2676	161	60	ҳ.	ҳ.	ADJ
iajs-2676	161	61	3	3	NUM
iajs-2676	161	62	.	.	PUNCT
iajs-2676	161	63	ẛ	ẛ	PRON
iajs-2676	161	64	∗	∗	X
iajs-2676	161	65	∗‐pre‐g‐open	∗‐pre‐g‐open	PROPN
iajs-2676	161	66	function	function	NOUN
iajs-2676	161	67	,	,	PUNCT
iajs-2676	161	68	symbolizes	symbolize	VERB
iajs-2676	161	69	ẛ	ẛ	DET
iajs-2676	161	70	∗	∗	NOUN
iajs-2676	161	71	∗pgo‐function	∗pgo‐function	NOUN
iajs-2676	161	72	if	if	SCONJ
iajs-2676	161	73	ᶂ	ᶂ	X
iajs-2676	161	74	(	(	PUNCT
iajs-2676	161	75	џ	џ	NOUN
iajs-2676	161	76	)	)	PUNCT
iajs-2676	161	77	is	be	AUX
iajs-2676	161	78	an	an	DET
iajs-2676	161	79	open	open	NOUN
iajs-2676	161	80	in	in	ADP
iajs-2676	161	81	ὑ	ὑ	NOUN
iajs-2676	161	82	whenever	whenever	SCONJ
iajs-2676	161	83	џ	џ	PROPN
iajs-2676	161	84	is	be	AUX
iajs-2676	161	85	an	an	DET
iajs-2676	161	86	ẛpg‐open	ẛpg‐open	NOUN
iajs-2676	161	87	set	set	NOUN
iajs-2676	161	88	in	in	ADP
iajs-2676	161	89	ҳ.	ҳ.	ADV
iajs-2676	161	90	ҏ1	ҏ1	PROPN
iajs-2676	161	91	↪	↪	PROPN
iajs-2676	161	92	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	161	93	,	,	PUNCT
iajs-2676	161	94	ẛ	ẛ	NOUN
iajs-2676	161	95	)	)	PUNCT
iajs-2676	161	96	not	not	PART
iajs-2676	161	97	ẛpg‐	ẛpg‐	PROPN
iajs-2676	161	98	ṫ0	ṫ0	NOUN
iajs-2676	161	99	space	space	NOUN
iajs-2676	161	100	not	not	PART
iajs-2676	161	101	ṫ0	ṫ0	VERB
iajs-2676	161	102	space	space	NOUN
iajs-2676	161	103	ҏ1	ҏ1	ADJ
iajs-2676	161	104	↪	↪	PROPN
iajs-2676	161	105	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	161	106	,	,	PUNCT
iajs-2676	161	107	ҳ	ҳ	NOUN
iajs-2676	161	108	)	)	PUNCT
iajs-2676	161	109	ҏ2	ҏ2	NOUN
iajs-2676	161	110	↬	↬	PROPN
iajs-2676	161	111	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	161	112	,	,	PUNCT
iajs-2676	161	113	ҳ	ҳ	NOUN
iajs-2676	161	114	)	)	PUNCT
iajs-2676	161	115	ҏ2	ҏ2	NOUN
iajs-2676	161	116	↬	↬	PROPN
iajs-2676	161	117	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	161	118	,	,	PUNCT
iajs-2676	161	119	ẛ	ẛ	NOUN
iajs-2676	161	120	)	)	PUNCT
iajs-2676	161	121	ҏ1	ҏ1	PROPN
iajs-2676	161	122	↪	↪	PROPN
iajs-2676	161	123	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	161	124	,	,	PUNCT
iajs-2676	161	125	ẛ	ẛ	NOUN
iajs-2676	161	126	)	)	PUNCT
iajs-2676	161	127	not	not	PART
iajs-2676	161	128	ẛpg‐	ẛpg‐	PRON
iajs-2676	162	1	ṫ1space	ṫ1space	NOUN
iajs-2676	162	2	not	not	PART
iajs-2676	162	3	ṫ1space	ṫ1space	VERB
iajs-2676	162	4	ҏ1	ҏ1	ADJ
iajs-2676	162	5	↪	↪	PROPN
iajs-2676	162	6	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	162	7	,	,	PUNCT
iajs-2676	162	8	ҳ	ҳ	NOUN
iajs-2676	162	9	)	)	PUNCT
iajs-2676	162	10	ҏ2	ҏ2	NOUN
iajs-2676	162	11	↬	↬	PROPN
iajs-2676	162	12	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	162	13	,	,	PUNCT
iajs-2676	162	14	ҳ	ҳ	NOUN
iajs-2676	162	15	)	)	PUNCT
iajs-2676	162	16	ҏ2	ҏ2	NOUN
iajs-2676	162	17	↬	↬	PROPN
iajs-2676	162	18	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	162	19	,	,	PUNCT
iajs-2676	162	20	ẛ	ẛ	NOUN
iajs-2676	162	21	)	)	PUNCT
iajs-2676	162	22	ҏ1	ҏ1	PROPN
iajs-2676	162	23	↪	↪	PROPN
iajs-2676	162	24	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	162	25	,	,	PUNCT
iajs-2676	162	26	ẛ	ẛ	NOUN
iajs-2676	162	27	)	)	PUNCT
iajs-2676	162	28	not	not	PART
iajs-2676	162	29	ẛpg‐	ẛpg‐	PRON
iajs-2676	162	30	ṫ2space	ṫ2space	NOUN
iajs-2676	162	31	not	not	PART
iajs-2676	162	32	ṫ2space	ṫ2space	NOUN
iajs-2676	162	33	ҏ1	ҏ1	ADJ
iajs-2676	162	34	↪	↪	PROPN
iajs-2676	162	35	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	162	36	,	,	PUNCT
iajs-2676	162	37	ҳ	ҳ	NOUN
iajs-2676	162	38	)	)	PUNCT
iajs-2676	162	39	ҏ2	ҏ2	NOUN
iajs-2676	162	40	↬	↬	PROPN
iajs-2676	162	41	ģ(ṫ2	ģ(ṫ2	PROPN
iajs-2676	162	42	,	,	PUNCT
iajs-2676	162	43	ҳ	ҳ	X
iajs-2676	162	44	)	)	PUNCT
iajs-2676	162	45	ҏ2	ҏ2	NOUN
iajs-2676	162	46	↬	↬	PROPN
iajs-2676	162	47	ģ(ṫ2	ģ(ṫ2	PROPN
iajs-2676	162	48	,	,	PUNCT
iajs-2676	162	49	ẛ	ẛ	NOUN
iajs-2676	162	50	)	)	PUNCT
iajs-2676	162	51	ibn	ibn	PROPN
iajs-2676	162	52	al	al	PROPN
iajs-2676	162	53	-	-	PUNCT
iajs-2676	162	54	haitham	haitham	PROPN
iajs-2676	162	55	jour	jour	X
iajs-2676	162	56	.	.	PROPN
iajs-2676	163	1	for	for	ADP
iajs-2676	163	2	pure	pure	ADJ
iajs-2676	163	3	&	&	CCONJ
iajs-2676	163	4	appl	appl	PROPN
iajs-2676	163	5	.	.	PUNCT
iajs-2676	164	1	sci	sci	PROPN
iajs-2676	164	2	.	.	PROPN
iajs-2676	165	1	34(3)2021	34(3)2021	NUM
iajs-2676	165	2	45	45	NUM
iajs-2676	165	3	proposition	proposition	NOUN
iajs-2676	165	4	3.1	3.1	NUM
iajs-2676	165	5	.	.	PUNCT
iajs-2676	166	1	if	if	SCONJ
iajs-2676	166	2	the	the	DET
iajs-2676	166	3	function	function	NOUN
iajs-2676	166	4	ᶂ	ᶂ	PROPN
iajs-2676	166	5	∶	∶	NOUN
iajs-2676	166	6	(	(	PUNCT
iajs-2676	166	7	ҳ	ҳ	NOUN
iajs-2676	166	8	,	,	PUNCT
iajs-2676	166	9	ṭ	ṭ	NOUN
iajs-2676	166	10	,	,	PUNCT
iajs-2676	166	11	ẛ	ẛ	NOUN
iajs-2676	166	12	)	)	PUNCT
iajs-2676	166	13			PUNCT
iajs-2676	166	14	(	(	PUNCT
iajs-2676	166	15	ὑ	ὑ	INTJ
iajs-2676	166	16	,	,	PUNCT
iajs-2676	166	17	ԏ	ԏ	PROPN
iajs-2676	166	18	,	,	PUNCT
iajs-2676	166	19	ɉ	ɉ	NOUN
iajs-2676	166	20	)	)	PUNCT
iajs-2676	166	21	is	be	AUX
iajs-2676	166	22	surjective	surjective	ADJ
iajs-2676	166	23	open	open	ADJ
iajs-2676	166	24	(	(	PUNCT
iajs-2676	166	25	respectively	respectively	ADV
iajs-2676	166	26	ẛ‐pre‐g‐open	ẛ‐pre‐g‐open	ADJ
iajs-2676	166	27	function	function	NOUN
iajs-2676	166	28	)	)	PUNCT
iajs-2676	166	29	and	and	CCONJ
iajs-2676	166	30	(	(	PUNCT
iajs-2676	166	31	ҏ2	ҏ2	PROPN
iajs-2676	166	32	↪	↪	PROPN
iajs-2676	166	33	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	166	34	,	,	PUNCT
iajs-2676	166	35	ҳ	ҳ	NOUN
iajs-2676	166	36	)	)	PUNCT
iajs-2676	166	37	)	)	PUNCT
iajs-2676	166	38	(	(	PUNCT
iajs-2676	166	39	respectively(ҏ2	respectively(ҏ2	PROPN
iajs-2676	166	40	↪	↪	PROPN
iajs-2676	166	41	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	166	42	,	,	PUNCT
iajs-2676	166	43	ẛ	ẛ	NOUN
iajs-2676	166	44	)	)	PUNCT
iajs-2676	166	45	)	)	PUNCT
iajs-2676	166	46	then	then	ADV
iajs-2676	166	47	(	(	PUNCT
iajs-2676	166	48	ҏ2	ҏ2	PROPN
iajs-2676	166	49	↪	↪	PROPN
iajs-2676	166	50	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	166	51	,	,	PUNCT
iajs-2676	166	52	ὑ	ὑ	NOUN
iajs-2676	166	53	)	)	PUNCT
iajs-2676	166	54	(	(	PUNCT
iajs-2676	166	55	respectively	respectively	ADV
iajs-2676	166	56	(	(	PUNCT
iajs-2676	166	57	ҏ2	ҏ2	PROPN
iajs-2676	166	58	↪	↪	PROPN
iajs-2676	166	59	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	166	60	,	,	PUNCT
iajs-2676	166	61	ɉ	ɉ	NOUN
iajs-2676	166	62	)	)	PUNCT
iajs-2676	166	63	)	)	PUNCT
iajs-2676	166	64	,	,	PUNCT
iajs-2676	166	65	where	where	SCONJ
iajs-2676	166	66	(	(	PUNCT
iajs-2676	166	67	i=0,1and	i=0,1and	NOUN
iajs-2676	166	68	2	2	NUM
iajs-2676	166	69	respectively	respectively	ADV
iajs-2676	166	70	)	)	PUNCT
iajs-2676	166	71	.	.	PUNCT
iajs-2676	167	1	proof(1	proof(1	NOUN
iajs-2676	167	2	)	)	PUNCT
iajs-2676	167	3	.	.	PUNCT
iajs-2676	168	1	in	in	ADP
iajs-2676	168	2	the	the	DET
iajs-2676	168	3	game	game	NOUN
iajs-2676	168	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	168	5	,	,	PUNCT
iajs-2676	168	6	ὑ	ὑ	NOUN
iajs-2676	168	7	)	)	PUNCT
iajs-2676	168	8	(	(	PUNCT
iajs-2676	168	9	respectively	respectively	ADV
iajs-2676	168	10	,	,	PUNCT
iajs-2676	168	11	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	168	12	,	,	PUNCT
iajs-2676	168	13	ɉ	ɉ	NOUN
iajs-2676	168	14	)	)	PUNCT
iajs-2676	168	15	)	)	PUNCT
iajs-2676	168	16	where(i=0	where(i=0	PROPN
iajs-2676	168	17	)	)	PUNCT
iajs-2676	168	18	,	,	PUNCT
iajs-2676	168	19	in	in	ADP
iajs-2676	168	20	the	the	DET
iajs-2676	168	21	first	first	ADJ
iajs-2676	168	22	round	round	NOUN
iajs-2676	168	23	,	,	PUNCT
iajs-2676	168	24	ҏ1will	ҏ1will	NOUN
iajs-2676	168	25	choose	choose	VERB
iajs-2676	168	26	ς	ς	PROPN
iajs-2676	168	27	1	1	NUM
iajs-2676	168	28	≠	≠	PROPN
iajs-2676	168	29	z	z	NOUN
iajs-2676	168	30	1	1	NUM
iajs-2676	168	31	such	such	ADJ
iajs-2676	168	32	that	that	SCONJ
iajs-2676	168	33	ς	ς	PROPN
iajs-2676	168	34	1	1	NUM
iajs-2676	168	35	,	,	PUNCT
iajs-2676	168	36	z	z	NOUN
iajs-2676	168	37	1	1	NUM
iajs-2676	168	38	∈	∈	PROPN
iajs-2676	168	39	ὑ.	ὑ.	NOUN
iajs-2676	168	40	next	next	ADV
iajs-2676	168	41	,	,	PUNCT
iajs-2676	168	42	ҏ2	ҏ2	VERB
iajs-2676	168	43	in	in	ADP
iajs-2676	168	44	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	45	,	,	PUNCT
iajs-2676	168	46	ὑ	ὑ	NOUN
iajs-2676	168	47	)	)	PUNCT
iajs-2676	168	48	(	(	PUNCT
iajs-2676	168	49	respectively	respectively	ADV
iajs-2676	168	50	ҏ2	ҏ2	NOUN
iajs-2676	168	51	in	in	ADP
iajs-2676	168	52	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	53	,	,	PUNCT
iajs-2676	168	54	ɉ	ɉ	NOUN
iajs-2676	168	55	)	)	PUNCT
iajs-2676	168	56	will	will	AUX
iajs-2676	168	57	hold	hold	VERB
iajs-2676	168	58	account	account	NOUN
iajs-2676	168	59	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	60	1	1	NUM
iajs-2676	168	61	)	)	PUNCT
iajs-2676	168	62	,	,	PUNCT
iajs-2676	168	63	ᶂ−1(z	ᶂ−1(z	PROPN
iajs-2676	168	64	1	1	X
iajs-2676	168	65	)	)	PUNCT
iajs-2676	168	66	∈	∈	PROPN
iajs-2676	168	67	ҳ	ҳ	PROPN
iajs-2676	168	68	,	,	PUNCT
iajs-2676	168	69	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	70	1	1	NUM
iajs-2676	168	71	)	)	PUNCT
iajs-2676	168	72	≠	≠	PROPN
iajs-2676	168	73	ᶂ−1(z	ᶂ−1(z	PROPN
iajs-2676	168	74	1	1	NUM
iajs-2676	168	75	)	)	PUNCT
iajs-2676	168	76	,	,	PUNCT
iajs-2676	168	77	but	but	CCONJ
iajs-2676	168	78	(	(	PUNCT
iajs-2676	168	79	ҏ2	ҏ2	NOUN
iajs-2676	168	80	↪	↪	PROPN
iajs-2676	168	81	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	82	,	,	PUNCT
iajs-2676	168	83	ҳ	ҳ	NOUN
iajs-2676	168	84	)	)	PUNCT
iajs-2676	168	85	)	)	PUNCT
iajs-2676	168	86	(	(	PUNCT
iajs-2676	168	87	respectively	respectively	ADV
iajs-2676	168	88	(	(	PUNCT
iajs-2676	168	89	ҏ2	ҏ2	NOUN
iajs-2676	168	90	↪	↪	PROPN
iajs-2676	168	91	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	92	,	,	PUNCT
iajs-2676	168	93	ẛ	ẛ	NOUN
iajs-2676	168	94	)	)	PUNCT
iajs-2676	168	95	)	)	PUNCT
iajs-2676	168	96	,	,	PUNCT
iajs-2676	168	97	∃џ1	∃џ1	PROPN
iajs-2676	168	98	∈	∈	PROPN
iajs-2676	168	99	ṭ	ṭ	PROPN
iajs-2676	168	100	(	(	PUNCT
iajs-2676	168	101	respectively	respectively	ADV
iajs-2676	168	102	∃џ1	∃џ1	PROPN
iajs-2676	168	103	∈	∈	PROPN
iajs-2676	168	104	ẛpg‐o(ҳ	ẛpg‐o(ҳ	PROPN
iajs-2676	168	105	)	)	PUNCT
iajs-2676	168	106	)	)	PUNCT
iajs-2676	168	107	,	,	PUNCT
iajs-2676	168	108	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	109	1	1	NUM
iajs-2676	168	110	)	)	PUNCT
iajs-2676	168	111	∈	∈	NOUN
iajs-2676	168	112	џ1	џ1	NOUN
iajs-2676	168	113	and	and	CCONJ
iajs-2676	168	114	ᶂ−1(z	ᶂ−1(z	NOUN
iajs-2676	168	115	1	1	NUM
iajs-2676	168	116	)	)	PUNCT
iajs-2676	168	117	∉	∉	ADJ
iajs-2676	168	118	џ1	џ1	NOUN
iajs-2676	168	119	since	since	SCONJ
iajs-2676	168	120	ᶂ	ᶂ	NOUN
iajs-2676	168	121	is	be	AUX
iajs-2676	168	122	an	an	DET
iajs-2676	168	123	open	open	ADJ
iajs-2676	168	124	respectively	respectively	ADV
iajs-2676	168	125	ẛ‐pre‐g‐open	ẛ‐pre‐g‐open	ADJ
iajs-2676	168	126	function	function	NOUN
iajs-2676	168	127	then	then	ADV
iajs-2676	168	128	ς	ς	PROPN
iajs-2676	168	129	1	1	NUM
iajs-2676	168	130	∈	∈	PROPN
iajs-2676	168	131	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	168	132	)	)	PUNCT
iajs-2676	168	133	and	and	CCONJ
iajs-2676	168	134	z	z	NOUN
iajs-2676	168	135	1	1	NUM
iajs-2676	168	136	∉	∉	NUM
iajs-2676	168	137	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	168	138	)	)	PUNCT
iajs-2676	168	139	this	this	PRON
iajs-2676	168	140	implies	imply	VERB
iajs-2676	168	141	ҏ2	ҏ2	VERB
iajs-2676	168	142	in	in	ADP
iajs-2676	168	143	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	144	,	,	PUNCT
iajs-2676	168	145	ὑ	ὑ	NOUN
iajs-2676	168	146	)	)	PUNCT
iajs-2676	168	147	(	(	PUNCT
iajs-2676	168	148	respectively	respectively	ADV
iajs-2676	168	149	ҏ2	ҏ2	NOUN
iajs-2676	168	150	in	in	ADP
iajs-2676	168	151	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	152	,	,	PUNCT
iajs-2676	168	153	ɉ	ɉ	NOUN
iajs-2676	168	154	)	)	PUNCT
iajs-2676	168	155	)	)	PUNCT
iajs-2676	168	156	choose	choose	VERB
iajs-2676	168	157	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	168	158	)	)	PUNCT
iajs-2676	168	159	is	be	AUX
iajs-2676	168	160	open	open	ADJ
iajs-2676	168	161	(	(	PUNCT
iajs-2676	168	162	respectively	respectively	ADV
iajs-2676	168	163	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	168	164	sets	set	NOUN
iajs-2676	168	165	)	)	PUNCT
iajs-2676	168	166	,	,	PUNCT
iajs-2676	168	167	in	in	ADP
iajs-2676	168	168	the	the	DET
iajs-2676	168	169	second	second	ADJ
iajs-2676	168	170	round	round	NOUN
iajs-2676	168	171	,	,	PUNCT
iajs-2676	168	172	ҏ1	ҏ1	ADJ
iajs-2676	168	173	in	in	ADP
iajs-2676	168	174	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	175	,	,	PUNCT
iajs-2676	168	176	ὑ	ὑ	NOUN
iajs-2676	168	177	)	)	PUNCT
iajs-2676	168	178	(	(	PUNCT
iajs-2676	168	179	respectively	respectively	ADV
iajs-2676	168	180	ҏ1	ҏ1	ADJ
iajs-2676	168	181	in	in	ADP
iajs-2676	168	182	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	183	,	,	PUNCT
iajs-2676	168	184	ɉ	ɉ	NOUN
iajs-2676	168	185	)	)	PUNCT
iajs-2676	168	186	choose	choose	VERB
iajs-2676	168	187	ς	ς	PROPN
iajs-2676	168	188	2	2	NUM
iajs-2676	168	189	≠	≠	PROPN
iajs-2676	168	190	ẓ	ẓ	SYM
iajs-2676	168	191	2	2	NUM
iajs-2676	168	192	such	such	ADJ
iajs-2676	168	193	that	that	SCONJ
iajs-2676	168	194	ς	ς	PROPN
iajs-2676	168	195	2	2	NUM
iajs-2676	168	196	,	,	PUNCT
iajs-2676	168	197	ẓ	ẓ	SYM
iajs-2676	168	198	2	2	NUM
iajs-2676	168	199	∈	∈	NOUN
iajs-2676	168	200	ὑ.	ὑ.	NOUN
iajs-2676	168	201	next	next	ADV
iajs-2676	168	202	,	,	PUNCT
iajs-2676	168	203	ҏ2	ҏ2	VERB
iajs-2676	168	204	in	in	ADP
iajs-2676	168	205	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	206	,	,	PUNCT
iajs-2676	168	207	ὑ	ὑ	NOUN
iajs-2676	168	208	)	)	PUNCT
iajs-2676	168	209	(	(	PUNCT
iajs-2676	168	210	respectively	respectively	ADV
iajs-2676	168	211	ҏ2	ҏ2	NOUN
iajs-2676	168	212	in	in	ADP
iajs-2676	168	213	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	214	,	,	PUNCT
iajs-2676	168	215	ɉ	ɉ	NOUN
iajs-2676	168	216	)	)	PUNCT
iajs-2676	168	217	)	)	PUNCT
iajs-2676	168	218	will	will	AUX
iajs-2676	168	219	hold	hold	VERB
iajs-2676	168	220	account	account	NOUN
iajs-2676	168	221	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	222	2	2	NUM
iajs-2676	168	223	)	)	PUNCT
iajs-2676	168	224	,	,	PUNCT
iajs-2676	168	225	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	168	226	2	2	NUM
iajs-2676	168	227	)	)	PUNCT
iajs-2676	168	228	∈	∈	PROPN
iajs-2676	168	229	ҳ	ҳ	PROPN
iajs-2676	168	230	,	,	PUNCT
iajs-2676	168	231	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	232	2	2	NUM
iajs-2676	168	233	)	)	PUNCT
iajs-2676	168	234	≠	≠	PROPN
iajs-2676	168	235	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	168	236	2	2	NUM
iajs-2676	168	237	)	)	PUNCT
iajs-2676	168	238	,	,	PUNCT
iajs-2676	168	239	but	but	CCONJ
iajs-2676	168	240	(	(	PUNCT
iajs-2676	168	241	ҏ2	ҏ2	NOUN
iajs-2676	168	242	↪	↪	PROPN
iajs-2676	168	243	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	244	,	,	PUNCT
iajs-2676	168	245	ҳ	ҳ	NOUN
iajs-2676	168	246	)	)	PUNCT
iajs-2676	168	247	)	)	PUNCT
iajs-2676	168	248	,	,	PUNCT
iajs-2676	168	249	(	(	PUNCT
iajs-2676	168	250	respectively	respectively	ADV
iajs-2676	168	251	(	(	PUNCT
iajs-2676	168	252	ҏ2	ҏ2	NOUN
iajs-2676	168	253	↪	↪	PROPN
iajs-2676	168	254	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	168	255	,	,	PUNCT
iajs-2676	168	256	ẛ	ẛ	NOUN
iajs-2676	168	257	)	)	PUNCT
iajs-2676	168	258	)	)	PUNCT
iajs-2676	168	259	,	,	PUNCT
iajs-2676	168	260	∃џ2	∃џ2	PROPN
iajs-2676	168	261	∈	∈	PROPN
iajs-2676	168	262	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	168	263	∃џ2	∃џ2	VERB
iajs-2676	168	264	∈	∈	PROPN
iajs-2676	168	265	ẛpg‐o(ҳ	ẛpg‐o(ҳ	PROPN
iajs-2676	168	266	)	)	PUNCT
iajs-2676	168	267	)	)	PUNCT
iajs-2676	168	268	,	,	PUNCT
iajs-2676	168	269	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	168	270	ṃ	ṃ	AUX
iajs-2676	168	271	)	)	PUNCT
iajs-2676	168	272	∈	∈	NOUN
iajs-2676	168	273	џ2	џ2	NOUN
iajs-2676	168	274	and	and	CCONJ
iajs-2676	168	275	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	168	276	2	2	NUM
iajs-2676	168	277	)	)	PUNCT
iajs-2676	168	278	∉	∉	PROPN
iajs-2676	168	279	џ2	џ2	PROPN
iajs-2676	168	280	,	,	PUNCT
iajs-2676	168	281	then	then	ADV
iajs-2676	168	282	ς	ς	PROPN
iajs-2676	168	283	2	2	NUM
iajs-2676	168	284	∈	∈	PROPN
iajs-2676	168	285	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	168	286	)	)	PUNCT
iajs-2676	168	287	and	and	CCONJ
iajs-2676	168	288	z	z	PROPN
iajs-2676	168	289	2	2	NUM
iajs-2676	168	290	∉	∉	X
iajs-2676	168	291	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	168	292	)	)	PUNCT
iajs-2676	168	293	this	this	PRON
iajs-2676	168	294	implies	imply	VERB
iajs-2676	168	295	ҏ2	ҏ2	VERB
iajs-2676	168	296	in	in	ADP
iajs-2676	168	297	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	298	,	,	PUNCT
iajs-2676	168	299	ὑ	ὑ	NOUN
iajs-2676	168	300	)	)	PUNCT
iajs-2676	168	301	(	(	PUNCT
iajs-2676	168	302	respectively	respectively	ADV
iajs-2676	168	303	ҏ2	ҏ2	NOUN
iajs-2676	168	304	in	in	ADP
iajs-2676	168	305	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	168	306	,	,	PUNCT
iajs-2676	168	307	ὑ	ὑ	NOUN
iajs-2676	168	308	)	)	PUNCT
iajs-2676	168	309	will	will	AUX
iajs-2676	168	310	choose	choose	VERB
iajs-2676	168	311	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	168	312	)	)	PUNCT
iajs-2676	169	1	is	be	AUX
iajs-2676	169	2	open	open	ADJ
iajs-2676	169	3	(	(	PUNCT
iajs-2676	169	4	respectively	respectively	ADV
iajs-2676	169	5	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	169	6	sets	set	NOUN
iajs-2676	169	7	)	)	PUNCT
iajs-2676	169	8	and	and	CCONJ
iajs-2676	169	9	in	in	ADP
iajs-2676	169	10	the	the	DET
iajs-2676	169	11	ṃ	ṃ	NOUN
iajs-2676	169	12	-	-	PUNCT
iajs-2676	169	13	th	th	VERB
iajs-2676	169	14	round	round	NOUN
iajs-2676	169	15	,	,	PUNCT
iajs-2676	169	16	ҏ1	ҏ1	ADJ
iajs-2676	169	17	in	in	ADP
iajs-2676	169	18	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	169	19	,	,	PUNCT
iajs-2676	169	20	ὑ	ὑ	NOUN
iajs-2676	169	21	)	)	PUNCT
iajs-2676	169	22	(	(	PUNCT
iajs-2676	169	23	respectively	respectively	ADV
iajs-2676	169	24	ҏ1	ҏ1	ADJ
iajs-2676	169	25	in	in	ADP
iajs-2676	169	26	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	169	27	,	,	PUNCT
iajs-2676	169	28	ɉ	ɉ	NOUN
iajs-2676	169	29	)	)	PUNCT
iajs-2676	169	30	choose	choose	VERB
iajs-2676	169	31	ς	ς	PROPN
iajs-2676	169	32	ṃ	ṃ	NOUN
iajs-2676	169	33	≠	≠	PROPN
iajs-2676	169	34	ẓ	ẓ	VERB
iajs-2676	169	35	ṃ	ṃ	NOUN
iajs-2676	169	36	such	such	ADJ
iajs-2676	169	37	that	that	SCONJ
iajs-2676	169	38	ς	ς	PROPN
iajs-2676	169	39	ṃ	ṃ	NOUN
iajs-2676	169	40	,	,	PUNCT
iajs-2676	169	41	ẓ	ẓ	VERB
iajs-2676	169	42	ṃ	ṃ	NOUN
iajs-2676	169	43	∈	∈	PROPN
iajs-2676	169	44	ὑ.	ὑ.	PROPN
iajs-2676	169	45	next	next	ADV
iajs-2676	169	46	,	,	PUNCT
iajs-2676	169	47	ҏ2	ҏ2	VERB
iajs-2676	169	48	in	in	ADP
iajs-2676	169	49	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	169	50	,	,	PUNCT
iajs-2676	169	51	ὑ	ὑ	NOUN
iajs-2676	169	52	)	)	PUNCT
iajs-2676	169	53	(	(	PUNCT
iajs-2676	169	54	respectively	respectively	ADV
iajs-2676	169	55	ҏ1	ҏ1	ADJ
iajs-2676	169	56	in	in	ADP
iajs-2676	169	57	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	169	58	,	,	PUNCT
iajs-2676	169	59	ɉ	ɉ	NOUN
iajs-2676	169	60	)	)	PUNCT
iajs-2676	169	61	will	will	AUX
iajs-2676	169	62	hold	hold	VERB
iajs-2676	169	63	account	account	NOUN
iajs-2676	169	64	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	169	65	ṃ	ṃ	NOUN
iajs-2676	169	66	)	)	PUNCT
iajs-2676	169	67	,	,	PUNCT
iajs-2676	169	68	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	169	69	ṃ	ṃ	NOUN
iajs-2676	169	70	)	)	PUNCT
iajs-2676	169	71	∈	∈	PROPN
iajs-2676	169	72	ҳ	ҳ	PROPN
iajs-2676	169	73	,	,	PUNCT
iajs-2676	169	74	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	169	75	ṃ	ṃ	NOUN
iajs-2676	169	76	)	)	PUNCT
iajs-2676	169	77	≠	≠	PROPN
iajs-2676	169	78	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	169	79	ṃ	ṃ	NOUN
iajs-2676	169	80	)	)	PUNCT
iajs-2676	169	81	,	,	PUNCT
iajs-2676	169	82	but	but	CCONJ
iajs-2676	169	83	(	(	PUNCT
iajs-2676	169	84	ҏ2	ҏ2	NOUN
iajs-2676	169	85	↪	↪	PROPN
iajs-2676	169	86	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	169	87	,	,	PUNCT
iajs-2676	169	88	ҳ	ҳ	NOUN
iajs-2676	169	89	)	)	PUNCT
iajs-2676	169	90	)	)	PUNCT
iajs-2676	169	91	,	,	PUNCT
iajs-2676	169	92	(	(	PUNCT
iajs-2676	169	93	respectively	respectively	ADV
iajs-2676	169	94	(	(	PUNCT
iajs-2676	169	95	ҏ2	ҏ2	NOUN
iajs-2676	169	96	↪	↪	PROPN
iajs-2676	169	97	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	169	98	,	,	PUNCT
iajs-2676	169	99	ẛ	ẛ	NOUN
iajs-2676	169	100	)	)	PUNCT
iajs-2676	169	101	)	)	PUNCT
iajs-2676	169	102	,	,	PUNCT
iajs-2676	169	103	so,∃џṃ	so,∃џṃ	PROPN
iajs-2676	169	104	∈	∈	PROPN
iajs-2676	169	105	ṭ(respectively	ṭ(respectively	ADV
iajs-2676	169	106	∃џṃ	∃џṃ	ADJ
iajs-2676	169	107	∈	∈	PROPN
iajs-2676	169	108	ẛpg‐o(ҳ	ẛpg‐o(ҳ	PROPN
iajs-2676	169	109	)	)	PUNCT
iajs-2676	169	110	)	)	PUNCT
iajs-2676	169	111	;	;	PUNCT
iajs-2676	169	112	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	169	113	ṃ	ṃ	NOUN
iajs-2676	169	114	)	)	PUNCT
iajs-2676	169	115	∈	∈	PROPN
iajs-2676	169	116	џṃ	џṃ	NOUN
iajs-2676	169	117	and	and	CCONJ
iajs-2676	169	118	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	169	119	ṃ	ṃ	NOUN
iajs-2676	169	120	)	)	PUNCT
iajs-2676	169	121	∉	∉	PROPN
iajs-2676	169	122	џṃ	џṃ	PROPN
iajs-2676	169	123	,	,	PUNCT
iajs-2676	169	124	then	then	ADV
iajs-2676	169	125	ς	ς	PROPN
iajs-2676	169	126	ṃ	ṃ	X
iajs-2676	169	127	∈	∈	PROPN
iajs-2676	169	128	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	169	129	)	)	PUNCT
iajs-2676	169	130	and	and	CCONJ
iajs-2676	169	131	z	z	NOUN
iajs-2676	169	132	ṃ	ṃ	NOUN
iajs-2676	169	133	∉	∉	X
iajs-2676	169	134	ᶂ(џṃ	ᶂ(џṃ	PROPN
iajs-2676	169	135	)	)	PUNCT
iajs-2676	169	136	;	;	PUNCT
iajs-2676	169	137	this	this	PRON
iajs-2676	169	138	implies	imply	VERB
iajs-2676	169	139	ҏ2	ҏ2	VERB
iajs-2676	169	140	in	in	ADP
iajs-2676	169	141	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	169	142	,	,	PUNCT
iajs-2676	169	143	ὑ	ὑ	NOUN
iajs-2676	169	144	)	)	PUNCT
iajs-2676	169	145	(	(	PUNCT
iajs-2676	169	146	respectively	respectively	ADV
iajs-2676	169	147	ҏ2	ҏ2	NOUN
iajs-2676	169	148	in	in	ADP
iajs-2676	169	149	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	169	150	,	,	PUNCT
iajs-2676	169	151	ɉ)will	ɉ)will	NOUN
iajs-2676	169	152	choose	choose	VERB
iajs-2676	169	153	ᶂ(џṃ	ᶂ(џṃ	PROPN
iajs-2676	169	154	)	)	PUNCT
iajs-2676	169	155	is	be	AUX
iajs-2676	169	156	open	open	ADJ
iajs-2676	169	157	(	(	PUNCT
iajs-2676	169	158	respectively	respectively	ADV
iajs-2676	169	159	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	169	160	sets	set	NOUN
iajs-2676	169	161	)	)	PUNCT
iajs-2676	169	162	;	;	PUNCT
iajs-2676	169	163	thus	thus	ADV
iajs-2676	169	164	ƀ	ƀ	X
iajs-2676	169	165	=	=	SYM
iajs-2676	169	166	{	{	PUNCT
iajs-2676	169	167	ᶂ	ᶂ	NOUN
iajs-2676	169	168	{	{	PUNCT
iajs-2676	169	169	џ1	џ1	NOUN
iajs-2676	169	170	}	}	PUNCT
iajs-2676	169	171	,	,	PUNCT
iajs-2676	169	172	ᶂ{џ2	ᶂ{џ2	NUM
iajs-2676	169	173	}	}	PUNCT
iajs-2676	169	174	,	,	PUNCT
iajs-2676	169	175	…	…	PUNCT
iajs-2676	169	176	,	,	PUNCT
iajs-2676	169	177	ᶂ{џṃ	ᶂ{џṃ	PROPN
iajs-2676	169	178	}	}	PUNCT
iajs-2676	169	179	.	.	PUNCT
iajs-2676	169	180	.	.	PUNCT
iajs-2676	169	181	.	.	PUNCT
iajs-2676	170	1	}	}	PUNCT
iajs-2676	170	2	is	be	AUX
iajs-2676	170	3	the	the	DET
iajs-2676	170	4	winning	win	VERB
iajs-2676	170	5	strategy	strategy	NOUN
iajs-2676	170	6	for	for	ADP
iajs-2676	170	7	ҏ2	ҏ2	NOUN
iajs-2676	170	8	in	in	ADP
iajs-2676	170	9	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	170	10	,	,	PUNCT
iajs-2676	170	11	ὑ	ὑ	NOUN
iajs-2676	170	12	)	)	PUNCT
iajs-2676	170	13	(	(	PUNCT
iajs-2676	170	14	respectively	respectively	ADV
iajs-2676	170	15	,	,	PUNCT
iajs-2676	170	16	ҏ2	ҏ2	NOUN
iajs-2676	170	17	in	in	ADP
iajs-2676	170	18	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	170	19	,	,	PUNCT
iajs-2676	170	20	ɉ	ɉ	NOUN
iajs-2676	170	21	)	)	PUNCT
iajs-2676	170	22	)	)	PUNCT
iajs-2676	170	23	.	.	PUNCT
iajs-2676	171	1	(	(	PUNCT
iajs-2676	171	2	2	2	NUM
iajs-2676	171	3	)	)	PUNCT
iajs-2676	171	4	.	.	PUNCT
iajs-2676	172	1	in	in	ADP
iajs-2676	172	2	the	the	DET
iajs-2676	172	3	game	game	NOUN
iajs-2676	172	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	172	5	,	,	PUNCT
iajs-2676	172	6	ὑ	ὑ	NOUN
iajs-2676	172	7	)	)	PUNCT
iajs-2676	172	8	(	(	PUNCT
iajs-2676	172	9	respectively	respectively	ADV
iajs-2676	172	10	,	,	PUNCT
iajs-2676	172	11	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	172	12	,	,	PUNCT
iajs-2676	172	13	ɉ	ɉ	NOUN
iajs-2676	172	14	)	)	PUNCT
iajs-2676	172	15	)	)	PUNCT
iajs-2676	172	16	where	where	SCONJ
iajs-2676	172	17	(	(	PUNCT
iajs-2676	172	18	i=1	i=1	NUM
iajs-2676	172	19	)	)	PUNCT
iajs-2676	172	20	,	,	PUNCT
iajs-2676	172	21	in	in	ADP
iajs-2676	172	22	the	the	DET
iajs-2676	172	23	ṃ‐th	ṃ‐th	PROPN
iajs-2676	172	24	inning	inning	NOUN
iajs-2676	172	25	,	,	PUNCT
iajs-2676	172	26	ҏ1will	ҏ1will	NOUN
iajs-2676	172	27	choose	choose	VERB
iajs-2676	172	28	ς	ς	PROPN
iajs-2676	172	29	ṃ	ṃ	NOUN
iajs-2676	172	30	≠	≠	PROPN
iajs-2676	172	31	z	z	NOUN
iajs-2676	172	32	ṃ	ṃ	NOUN
iajs-2676	172	33	such	such	ADJ
iajs-2676	172	34	that	that	SCONJ
iajs-2676	172	35	ς	ς	PROPN
iajs-2676	172	36	ṃ	ṃ	NOUN
iajs-2676	172	37	,	,	PUNCT
iajs-2676	172	38	z	z	VERB
iajs-2676	172	39	ṃ	ṃ	NOUN
iajs-2676	172	40	∈	∈	PROPN
iajs-2676	172	41	ὑ.	ὑ.	PROPN
iajs-2676	172	42	next	next	ADV
iajs-2676	172	43	,	,	PUNCT
iajs-2676	172	44	ҏ2	ҏ2	VERB
iajs-2676	172	45	in	in	ADP
iajs-2676	172	46	ģ(ԏ1	ģ(ԏ1	NOUN
iajs-2676	172	47	,	,	PUNCT
iajs-2676	172	48	ὑ	ὑ	NOUN
iajs-2676	172	49	)	)	PUNCT
iajs-2676	172	50	(	(	PUNCT
iajs-2676	172	51	respectively	respectively	ADV
iajs-2676	172	52	,	,	PUNCT
iajs-2676	172	53	ҏ2	ҏ2	NOUN
iajs-2676	172	54	in	in	ADP
iajs-2676	172	55	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	172	56	,	,	PUNCT
iajs-2676	172	57	ɉ	ɉ	NOUN
iajs-2676	172	58	)	)	PUNCT
iajs-2676	172	59	will	will	AUX
iajs-2676	172	60	hold	hold	VERB
iajs-2676	172	61	account	account	NOUN
iajs-2676	172	62	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	172	63	ṃ	ṃ	NOUN
iajs-2676	172	64	)	)	PUNCT
iajs-2676	172	65	,	,	PUNCT
iajs-2676	172	66	ᶂ−1(z	ᶂ−1(z	PROPN
iajs-2676	172	67	ṃ	ṃ	NOUN
iajs-2676	172	68	)	)	PUNCT
iajs-2676	172	69	∈	∈	PROPN
iajs-2676	172	70	ҳ	ҳ	PROPN
iajs-2676	172	71	,	,	PUNCT
iajs-2676	172	72	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	172	73	ṃ	ṃ	NOUN
iajs-2676	172	74	)	)	PUNCT
iajs-2676	172	75	≠	≠	PROPN
iajs-2676	172	76	ᶂ−1(z	ᶂ−1(z	NUM
iajs-2676	172	77	ṃ	ṃ	NOUN
iajs-2676	172	78	)	)	PUNCT
iajs-2676	172	79	,	,	PUNCT
iajs-2676	172	80	but	but	CCONJ
iajs-2676	172	81	(	(	PUNCT
iajs-2676	172	82	ҏ2	ҏ2	NOUN
iajs-2676	172	83	↪	↪	PROPN
iajs-2676	172	84	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	172	85	,	,	PUNCT
iajs-2676	172	86	ҳ	ҳ	NOUN
iajs-2676	172	87	)	)	PUNCT
iajs-2676	172	88	)	)	PUNCT
iajs-2676	172	89	(	(	PUNCT
iajs-2676	172	90	respectively	respectively	ADV
iajs-2676	172	91	,	,	PUNCT
iajs-2676	172	92	(	(	PUNCT
iajs-2676	172	93	ҏ2	ҏ2	PROPN
iajs-2676	172	94	↪	↪	PROPN
iajs-2676	172	95	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	172	96	,	,	PUNCT
iajs-2676	172	97	ẛ	ẛ	NOUN
iajs-2676	172	98	)	)	PUNCT
iajs-2676	172	99	)	)	PUNCT
iajs-2676	172	100	,	,	PUNCT
iajs-2676	172	101	∃џṃ	∃џṃ	VERB
iajs-2676	172	102	,	,	PUNCT
iajs-2676	172	103	ṿṃ	ṿṃ	NOUN
iajs-2676	172	104	∈	∈	PROPN
iajs-2676	172	105	ṭ	ṭ	PROPN
iajs-2676	172	106	(	(	PUNCT
iajs-2676	172	107	respectively	respectively	ADV
iajs-2676	172	108	∃џṃ	∃џṃ	ADJ
iajs-2676	172	109	,	,	PUNCT
iajs-2676	172	110	ṿṃ	ṿṃ	NOUN
iajs-2676	172	111	∈	∈	PROPN
iajs-2676	172	112	ẛpg‐o(ҳ	ẛpg‐o(ҳ	PROPN
iajs-2676	172	113	)	)	PUNCT
iajs-2676	172	114	)	)	PUNCT
iajs-2676	172	115	,	,	PUNCT
iajs-2676	172	116	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	172	117	1	1	NUM
iajs-2676	172	118	)	)	PUNCT
iajs-2676	172	119	∈	∈	PROPN
iajs-2676	172	120	(	(	PUNCT
iajs-2676	172	121	џṃ‐ṿṃ	џṃ‐ṿṃ	NUM
iajs-2676	172	122	)	)	PUNCT
iajs-2676	172	123	and	and	CCONJ
iajs-2676	172	124	ᶂ−1(z	ᶂ−1(z	NOUN
iajs-2676	172	125	ṃ	ṃ	NOUN
iajs-2676	172	126	)	)	PUNCT
iajs-2676	172	127	∈	∈	PROPN
iajs-2676	172	128	(	(	PUNCT
iajs-2676	172	129	ṿṃ	ṿṃ	NOUN
iajs-2676	172	130	‐џṃ	‐џṃ	NOUN
iajs-2676	172	131	)	)	PUNCT
iajs-2676	172	132	and	and	CCONJ
iajs-2676	172	133	since	since	SCONJ
iajs-2676	172	134	ᶂ	ᶂ	NOUN
iajs-2676	172	135	is	be	AUX
iajs-2676	172	136	an	an	DET
iajs-2676	172	137	open	open	ADJ
iajs-2676	172	138	,	,	PUNCT
iajs-2676	172	139	respectively	respectively	ADV
iajs-2676	172	140	ẛ‐pre‐g‐open	ẛ‐pre‐g‐open	ADJ
iajs-2676	172	141	function	function	NOUN
iajs-2676	172	142	;	;	PUNCT
iajs-2676	172	143	this	this	PRON
iajs-2676	172	144	implies	imply	VERB
iajs-2676	172	145	ҏ2	ҏ2	VERB
iajs-2676	172	146	in	in	ADP
iajs-2676	172	147	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	172	148	,	,	PUNCT
iajs-2676	172	149	ὑ	ὑ	NOUN
iajs-2676	172	150	)	)	PUNCT
iajs-2676	172	151	(	(	PUNCT
iajs-2676	172	152	respectively	respectively	ADV
iajs-2676	172	153	ҏ2	ҏ2	NOUN
iajs-2676	172	154	in	in	ADP
iajs-2676	172	155	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	172	156	,	,	PUNCT
iajs-2676	172	157	ɉ	ɉ	NOUN
iajs-2676	172	158	)	)	PUNCT
iajs-2676	172	159	)	)	PUNCT
iajs-2676	172	160	choose	choose	VERB
iajs-2676	172	161	ᶂ(џṃ	ᶂ(џṃ	PROPN
iajs-2676	172	162	)	)	PUNCT
iajs-2676	172	163	,	,	PUNCT
iajs-2676	172	164	ᶂ(ṿṃ	ᶂ(ṿṃ	NUM
iajs-2676	172	165	)	)	PUNCT
iajs-2676	172	166	are	be	AUX
iajs-2676	172	167	open	open	ADJ
iajs-2676	172	168	(	(	PUNCT
iajs-2676	172	169	respectively	respectively	ADV
iajs-2676	172	170	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	172	171	sets	set	NOUN
iajs-2676	172	172	)	)	PUNCT
iajs-2676	172	173	,	,	PUNCT
iajs-2676	172	174	thus	thus	ADV
iajs-2676	172	175	ƀ	ƀ	X
iajs-2676	172	176	=	=	SYM
iajs-2676	172	177	{	{	PUNCT
iajs-2676	172	178	{	{	PUNCT
iajs-2676	172	179	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	172	180	)	)	PUNCT
iajs-2676	172	181	,	,	PUNCT
iajs-2676	172	182	ᶂ(ṿ1	ᶂ(ṿ1	NOUN
iajs-2676	172	183	)	)	PUNCT
iajs-2676	172	184	}	}	PUNCT
iajs-2676	172	185	,	,	PUNCT
iajs-2676	172	186	{	{	PUNCT
iajs-2676	172	187	ᶂ(џ2	ᶂ(џ2	ADJ
iajs-2676	172	188	)	)	PUNCT
iajs-2676	172	189	,	,	PUNCT
iajs-2676	172	190	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	172	191	)	)	PUNCT
iajs-2676	172	192	}	}	PUNCT
iajs-2676	172	193	,	,	PUNCT
iajs-2676	172	194	…	…	PUNCT
iajs-2676	172	195	,	,	PUNCT
iajs-2676	172	196	{	{	PUNCT
iajs-2676	172	197	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	172	198	)	)	PUNCT
iajs-2676	172	199	,	,	PUNCT
iajs-2676	172	200	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	172	201	)	)	PUNCT
iajs-2676	172	202	}	}	PUNCT
iajs-2676	172	203	.	.	PUNCT
iajs-2676	172	204	.	.	PUNCT
iajs-2676	172	205	.	.	PUNCT
iajs-2676	173	1	}	}	PUNCT
iajs-2676	173	2	is	be	AUX
iajs-2676	173	3	the	the	DET
iajs-2676	173	4	winning	win	VERB
iajs-2676	173	5	strategy	strategy	NOUN
iajs-2676	173	6	for	for	ADP
iajs-2676	173	7	ҏ2	ҏ2	NOUN
iajs-2676	173	8	in	in	ADP
iajs-2676	173	9	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	173	10	,	,	PUNCT
iajs-2676	173	11	ὑ	ὑ	NOUN
iajs-2676	173	12	)	)	PUNCT
iajs-2676	173	13	)	)	PUNCT
iajs-2676	173	14	(	(	PUNCT
iajs-2676	173	15	respectively	respectively	ADV
iajs-2676	173	16	ҏ2	ҏ2	NOUN
iajs-2676	173	17	in	in	ADP
iajs-2676	173	18	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	173	19	,	,	PUNCT
iajs-2676	173	20	ɉ)).in	ɉ)).in	PUNCT
iajs-2676	173	21	the	the	DET
iajs-2676	173	22	same	same	ADJ
iajs-2676	173	23	way	way	NOUN
iajs-2676	173	24	,	,	PUNCT
iajs-2676	173	25	we	we	PRON
iajs-2676	173	26	can	can	AUX
iajs-2676	173	27	proof	proof	NOUN
iajs-2676	173	28	(	(	PUNCT
iajs-2676	173	29	ҏ2	ҏ2	NOUN
iajs-2676	173	30	↪	↪	PROPN
iajs-2676	173	31	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	173	32	,	,	PUNCT
iajs-2676	173	33	ὑ	ὑ	NOUN
iajs-2676	173	34	)	)	PUNCT
iajs-2676	173	35	(	(	PUNCT
iajs-2676	173	36	respectively(ҏ2	respectively(ҏ2	X
iajs-2676	173	37	↪	↪	PROPN
iajs-2676	173	38	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	173	39	,	,	PUNCT
iajs-2676	173	40	ɉ	ɉ	NOUN
iajs-2676	173	41	)	)	PUNCT
iajs-2676	173	42	)	)	PUNCT
iajs-2676	173	43	but	but	CCONJ
iajs-2676	173	44	ᶂ(џṃ	ᶂ(џṃ	X
iajs-2676	173	45	)	)	PUNCT
iajs-2676	173	46	∩	∩	NOUN
iajs-2676	173	47	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	173	48	)	)	PUNCT
iajs-2676	173	49	=	=	PUNCT
iajs-2676	173	50	∅.thus	∅.thus	PROPN
iajs-2676	173	51	,	,	PUNCT
iajs-2676	173	52	ƀ	ƀ	PROPN
iajs-2676	173	53	=	=	PUNCT
iajs-2676	173	54	{	{	PUNCT
iajs-2676	173	55	{	{	PUNCT
iajs-2676	173	56	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	173	57	)	)	PUNCT
iajs-2676	173	58	,	,	PUNCT
iajs-2676	173	59	ᶂ(ṿ1	ᶂ(ṿ1	NOUN
iajs-2676	173	60	)	)	PUNCT
iajs-2676	173	61	}	}	PUNCT
iajs-2676	173	62	,	,	PUNCT
iajs-2676	173	63	{	{	PUNCT
iajs-2676	173	64	ᶂ(џ2	ᶂ(џ2	ADJ
iajs-2676	173	65	)	)	PUNCT
iajs-2676	173	66	,	,	PUNCT
iajs-2676	173	67	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	173	68	)	)	PUNCT
iajs-2676	173	69	}	}	PUNCT
iajs-2676	173	70	,	,	PUNCT
iajs-2676	173	71	…	…	PUNCT
iajs-2676	173	72	,	,	PUNCT
iajs-2676	173	73	{	{	PUNCT
iajs-2676	173	74	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	173	75	)	)	PUNCT
iajs-2676	173	76	,	,	PUNCT
iajs-2676	173	77	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	173	78	)	)	PUNCT
iajs-2676	173	79	}	}	PUNCT
iajs-2676	173	80	.	.	PUNCT
iajs-2676	173	81	.	.	PUNCT
iajs-2676	173	82	.	.	PUNCT
iajs-2676	174	1	}	}	PUNCT
iajs-2676	174	2	is	be	AUX
iajs-2676	174	3	the	the	DET
iajs-2676	174	4	winning	win	VERB
iajs-2676	174	5	strategy	strategy	NOUN
iajs-2676	174	6	for	for	ADP
iajs-2676	174	7	ҏ2	ҏ2	NOUN
iajs-2676	174	8	in	in	ADP
iajs-2676	174	9	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	174	10	,	,	PUNCT
iajs-2676	174	11	ὑ)(respectively	ὑ)(respectively	ADV
iajs-2676	174	12	ҏ2	ҏ2	VERB
iajs-2676	174	13	in	in	ADP
iajs-2676	174	14	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	174	15	,	,	PUNCT
iajs-2676	174	16	ɉ	ɉ	NOUN
iajs-2676	174	17	)	)	PUNCT
iajs-2676	174	18	)	)	PUNCT
iajs-2676	174	19	.	.	PUNCT
iajs-2676	175	1	proposition	proposition	NOUN
iajs-2676	175	2	3.3	3.3	NUM
iajs-2676	175	3	.	.	PUNCT
iajs-2676	176	1	if	if	SCONJ
iajs-2676	176	2	the	the	DET
iajs-2676	176	3	function	function	NOUN
iajs-2676	176	4	ᶂ	ᶂ	PROPN
iajs-2676	176	5	∶	∶	NOUN
iajs-2676	176	6	(	(	PUNCT
iajs-2676	176	7	ҳ	ҳ	NOUN
iajs-2676	176	8	,	,	PUNCT
iajs-2676	176	9	ṭ	ṭ	NOUN
iajs-2676	176	10	,	,	PUNCT
iajs-2676	176	11	ẛ	ẛ	NOUN
iajs-2676	176	12	)	)	PUNCT
iajs-2676	176	13			PUNCT
iajs-2676	176	14	(	(	PUNCT
iajs-2676	176	15	ὑ	ὑ	INTJ
iajs-2676	176	16	,	,	PUNCT
iajs-2676	176	17	ԏ	ԏ	PROPN
iajs-2676	176	18	,	,	PUNCT
iajs-2676	176	19	ɉ	ɉ	NOUN
iajs-2676	176	20	)	)	PUNCT
iajs-2676	176	21	is	be	AUX
iajs-2676	176	22	surjective	surjective	ADJ
iajs-2676	176	23	ẛ	ẛ	ADP
iajs-2676	176	24	∗pgo‐function	∗pgo‐function	NOUN
iajs-2676	176	25	and	and	CCONJ
iajs-2676	176	26	(	(	PUNCT
iajs-2676	176	27	ҏ2	ҏ2	PROPN
iajs-2676	176	28	↪	↪	PROPN
iajs-2676	176	29	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	176	30	,	,	PUNCT
iajs-2676	176	31	ҳ	ҳ	NOUN
iajs-2676	176	32	)	)	PUNCT
iajs-2676	176	33	)	)	PUNCT
iajs-2676	176	34	,	,	PUNCT
iajs-2676	176	35	then	then	ADV
iajs-2676	176	36	,	,	PUNCT
iajs-2676	176	37	(	(	PUNCT
iajs-2676	176	38	ҏ2	ҏ2	PROPN
iajs-2676	176	39	↪	↪	PROPN
iajs-2676	176	40	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	176	41	,	,	PUNCT
iajs-2676	176	42	ɉ	ɉ	NOUN
iajs-2676	176	43	)	)	PUNCT
iajs-2676	176	44	)	)	PUNCT
iajs-2676	176	45	,	,	PUNCT
iajs-2676	176	46	where	where	SCONJ
iajs-2676	176	47	(	(	PUNCT
iajs-2676	176	48	i=0,1and	i=0,1and	NOUN
iajs-2676	176	49	2	2	NUM
iajs-2676	176	50	respectively	respectively	ADV
iajs-2676	176	51	)	)	PUNCT
iajs-2676	176	52	.	.	PUNCT
iajs-2676	177	1	proof	proof	NOUN
iajs-2676	177	2	(	(	PUNCT
iajs-2676	177	3	1	1	NUM
iajs-2676	177	4	)	)	PUNCT
iajs-2676	177	5	.	.	PUNCT
iajs-2676	178	1	in	in	ADP
iajs-2676	178	2	the	the	DET
iajs-2676	178	3	game	game	NOUN
iajs-2676	178	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	178	5	,	,	PUNCT
iajs-2676	178	6	ɉ	ɉ	NOUN
iajs-2676	178	7	)	)	PUNCT
iajs-2676	178	8	,	,	PUNCT
iajs-2676	178	9	where	where	SCONJ
iajs-2676	178	10	(	(	PUNCT
iajs-2676	178	11	i=0	i=0	PROPN
iajs-2676	178	12	)	)	PUNCT
iajs-2676	178	13	,	,	PUNCT
iajs-2676	178	14	in	in	ADP
iajs-2676	178	15	the	the	DET
iajs-2676	178	16	first	first	ADJ
iajs-2676	178	17	round	round	NOUN
iajs-2676	178	18	,	,	PUNCT
iajs-2676	178	19	ҏ1	ҏ1	X
iajs-2676	178	20	will	will	AUX
iajs-2676	178	21	choose	choose	VERB
iajs-2676	178	22	ς	ς	PROPN
iajs-2676	178	23	1	1	NUM
iajs-2676	178	24	≠	≠	PROPN
iajs-2676	178	25	ẓ	ẓ	SYM
iajs-2676	178	26	1	1	NUM
iajs-2676	178	27	such	such	ADJ
iajs-2676	178	28	that	that	SCONJ
iajs-2676	178	29	ς	ς	PROPN
iajs-2676	178	30	1	1	NUM
iajs-2676	178	31	,	,	PUNCT
iajs-2676	178	32	ẓ	ẓ	SYM
iajs-2676	178	33	1	1	NUM
iajs-2676	178	34	∈	∈	NOUN
iajs-2676	178	35	ὑ.	ὑ.	NOUN
iajs-2676	178	36	next	next	ADV
iajs-2676	178	37	,	,	PUNCT
iajs-2676	178	38	ҏ2	ҏ2	VERB
iajs-2676	178	39	in	in	ADP
iajs-2676	178	40	ģ(ṭ0	ģ(ṭ0	PROPN
iajs-2676	178	41	,	,	PUNCT
iajs-2676	178	42	ɉ	ɉ	NOUN
iajs-2676	178	43	)	)	PUNCT
iajs-2676	178	44	will	will	AUX
iajs-2676	178	45	hold	hold	VERB
iajs-2676	178	46	account	account	NOUN
iajs-2676	178	47	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	48	1	1	NUM
iajs-2676	178	49	)	)	PUNCT
iajs-2676	178	50	,	,	PUNCT
iajs-2676	178	51	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	52	1	1	NUM
iajs-2676	178	53	)	)	PUNCT
iajs-2676	178	54	∈	∈	PROPN
iajs-2676	178	55	ҳ	ҳ	PROPN
iajs-2676	178	56	,	,	PUNCT
iajs-2676	178	57	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	58	1	1	NUM
iajs-2676	178	59	)	)	PUNCT
iajs-2676	178	60	≠	≠	PROPN
iajs-2676	178	61	ᶂ−1(z	ᶂ−1(z	PROPN
iajs-2676	178	62	1	1	NUM
iajs-2676	178	63	)	)	PUNCT
iajs-2676	178	64	,	,	PUNCT
iajs-2676	178	65	but	but	CCONJ
iajs-2676	178	66	(	(	PUNCT
iajs-2676	178	67	ҏ2	ҏ2	NOUN
iajs-2676	178	68	↪	↪	PROPN
iajs-2676	178	69	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	70	,	,	PUNCT
iajs-2676	178	71	ҳ	ҳ	NOUN
iajs-2676	178	72	)	)	PUNCT
iajs-2676	178	73	)	)	PUNCT
iajs-2676	178	74	,	,	PUNCT
iajs-2676	178	75	∃џ1	∃џ1	PROPN
iajs-2676	178	76	∈	∈	PROPN
iajs-2676	178	77	ṭ	ṭ	PROPN
iajs-2676	178	78	,	,	PUNCT
iajs-2676	178	79	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	80	1	1	NUM
iajs-2676	178	81	)	)	PUNCT
iajs-2676	178	82	∈	∈	NOUN
iajs-2676	178	83	џ1	џ1	NOUN
iajs-2676	178	84	and	and	CCONJ
iajs-2676	178	85	ᶂ−1(z	ᶂ−1(z	NOUN
iajs-2676	178	86	1	1	NUM
iajs-2676	178	87	)	)	PUNCT
iajs-2676	178	88	∉	∉	PROPN
iajs-2676	178	89	џ1	џ1	NOUN
iajs-2676	178	90	,	,	PUNCT
iajs-2676	178	91	and	and	CCONJ
iajs-2676	178	92	since	since	SCONJ
iajs-2676	178	93	ᶂ	ᶂ	NOUN
iajs-2676	178	94	is	be	AUX
iajs-2676	178	95	ẛ	ẛ	DET
iajs-2676	178	96	∗pgo‐function	∗pgo‐function	NOUN
iajs-2676	178	97	this	this	PRON
iajs-2676	178	98	implies	imply	VERB
iajs-2676	178	99	ҏ2	ҏ2	NOUN
iajs-2676	178	100	in	in	ADP
iajs-2676	178	101	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	178	102	,	,	PUNCT
iajs-2676	178	103	ҳ	ҳ	NOUN
iajs-2676	178	104	)	)	PUNCT
iajs-2676	178	105	will	will	AUX
iajs-2676	178	106	choose	choose	VERB
iajs-2676	178	107	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	178	108	)	)	PUNCT
iajs-2676	178	109	is	be	AUX
iajs-2676	178	110	a	a	DET
iajs-2676	178	111	ɉpg‐open	ɉpg‐open	ADJ
iajs-2676	178	112	set	set	NOUN
iajs-2676	178	113	,	,	PUNCT
iajs-2676	178	114	in	in	ADP
iajs-2676	178	115	the	the	DET
iajs-2676	178	116	second	second	ADJ
iajs-2676	178	117	round	round	NOUN
iajs-2676	178	118	,	,	PUNCT
iajs-2676	178	119	ҏ1	ҏ1	ADJ
iajs-2676	178	120	in	in	ADP
iajs-2676	178	121	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	122	,	,	PUNCT
iajs-2676	178	123	ɉ	ɉ	NOUN
iajs-2676	178	124	)	)	PUNCT
iajs-2676	178	125	choose	choose	VERB
iajs-2676	178	126	ς	ς	PROPN
iajs-2676	178	127	2	2	NUM
iajs-2676	178	128	≠	≠	PROPN
iajs-2676	178	129	ẓ	ẓ	SYM
iajs-2676	178	130	2	2	NUM
iajs-2676	178	131	,	,	PUNCT
iajs-2676	178	132	ς	ς	PROPN
iajs-2676	178	133	2	2	NUM
iajs-2676	178	134	,	,	PUNCT
iajs-2676	178	135	ẓ	ẓ	SYM
iajs-2676	178	136	2	2	NUM
iajs-2676	178	137	∈	∈	NOUN
iajs-2676	178	138	ὑ.	ὑ.	NOUN
iajs-2676	178	139	next	next	ADV
iajs-2676	178	140	,	,	PUNCT
iajs-2676	178	141	ҏ2	ҏ2	VERB
iajs-2676	178	142	in	in	ADP
iajs-2676	178	143	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	144	,	,	PUNCT
iajs-2676	178	145	ɉ	ɉ	NOUN
iajs-2676	178	146	)	)	PUNCT
iajs-2676	178	147	will	will	AUX
iajs-2676	178	148	hold	hold	VERB
iajs-2676	178	149	account	account	NOUN
iajs-2676	178	150	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	151	2	2	NUM
iajs-2676	178	152	)	)	PUNCT
iajs-2676	178	153	,	,	PUNCT
iajs-2676	178	154	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	155	2	2	NUM
iajs-2676	178	156	)	)	PUNCT
iajs-2676	178	157	∈	∈	PROPN
iajs-2676	178	158	ҳ	ҳ	PROPN
iajs-2676	178	159	,	,	PUNCT
iajs-2676	178	160	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	161	2	2	NUM
iajs-2676	178	162	)	)	PUNCT
iajs-2676	178	163	≠	≠	PROPN
iajs-2676	178	164	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	165	2	2	NUM
iajs-2676	178	166	)	)	PUNCT
iajs-2676	178	167	,	,	PUNCT
iajs-2676	178	168	but	but	CCONJ
iajs-2676	178	169	(	(	PUNCT
iajs-2676	178	170	ҏ2	ҏ2	NOUN
iajs-2676	178	171	↪	↪	PROPN
iajs-2676	178	172	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	173	,	,	PUNCT
iajs-2676	178	174	ҳ	ҳ	NOUN
iajs-2676	178	175	)	)	PUNCT
iajs-2676	178	176	)	)	PUNCT
iajs-2676	178	177	,	,	PUNCT
iajs-2676	178	178	∃џ2	∃џ2	NOUN
iajs-2676	178	179	∈	∈	PROPN
iajs-2676	178	180	ṭ	ṭ	NOUN
iajs-2676	178	181	,	,	PUNCT
iajs-2676	178	182	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	183	2	2	NUM
iajs-2676	178	184	)	)	PUNCT
iajs-2676	178	185	∈	∈	NOUN
iajs-2676	178	186	џ2	џ2	NOUN
iajs-2676	178	187	and	and	CCONJ
iajs-2676	178	188	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	189	2	2	NUM
iajs-2676	178	190	)	)	PUNCT
iajs-2676	178	191	∉	∉	PROPN
iajs-2676	178	192	џ2	џ2	PROPN
iajs-2676	178	193	,	,	PUNCT
iajs-2676	178	194	this	this	PRON
iajs-2676	178	195	implies	imply	VERB
iajs-2676	178	196	ҏ2	ҏ2	VERB
iajs-2676	178	197	in	in	ADP
iajs-2676	178	198	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	178	199	,	,	PUNCT
iajs-2676	178	200	ҳ	ҳ	NOUN
iajs-2676	178	201	)	)	PUNCT
iajs-2676	178	202	will	will	AUX
iajs-2676	178	203	choose	choose	VERB
iajs-2676	178	204	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	178	205	)	)	PUNCT
iajs-2676	178	206	is	be	AUX
iajs-2676	178	207	a	a	DET
iajs-2676	178	208	ɉpg‐open	ɉpg‐open	ADV
iajs-2676	178	209	set	set	NOUN
iajs-2676	178	210	and	and	CCONJ
iajs-2676	178	211	in	in	ADP
iajs-2676	178	212	ṃ	ṃ	ADV
iajs-2676	178	213	-	-	PUNCT
iajs-2676	178	214	th	th	VERB
iajs-2676	178	215	round	round	NOUN
iajs-2676	178	216	ҏ1	ҏ1	ADJ
iajs-2676	178	217	in	in	ADP
iajs-2676	178	218	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	219	,	,	PUNCT
iajs-2676	178	220	ɉ	ɉ	NOUN
iajs-2676	178	221	)	)	PUNCT
iajs-2676	178	222	choose	choose	VERB
iajs-2676	178	223	ς	ς	PROPN
iajs-2676	178	224	ṃ	ṃ	NOUN
iajs-2676	178	225	≠	≠	PROPN
iajs-2676	178	226	ẓ	ẓ	NOUN
iajs-2676	178	227	ṃ	ṃ	NOUN
iajs-2676	178	228	,	,	PUNCT
iajs-2676	178	229	ς	ς	PROPN
iajs-2676	178	230	ṃ	ṃ	NOUN
iajs-2676	178	231	,	,	PUNCT
iajs-2676	178	232	ẓ	ẓ	VERB
iajs-2676	178	233	ṃ	ṃ	NOUN
iajs-2676	178	234	∈	∈	PROPN
iajs-2676	178	235	ὑ	ὑ	NOUN
iajs-2676	178	236	,	,	PUNCT
iajs-2676	178	237	next	next	ADV
iajs-2676	178	238	,	,	PUNCT
iajs-2676	178	239	ҏ2	ҏ2	VERB
iajs-2676	178	240	in	in	ADP
iajs-2676	178	241	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	242	,	,	PUNCT
iajs-2676	178	243	ɉ	ɉ	NOUN
iajs-2676	178	244	)	)	PUNCT
iajs-2676	178	245	will	will	AUX
iajs-2676	178	246	hold	hold	VERB
iajs-2676	178	247	account	account	NOUN
iajs-2676	178	248	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	249	ṃ	ṃ	NOUN
iajs-2676	178	250	)	)	PUNCT
iajs-2676	178	251	,	,	PUNCT
iajs-2676	178	252	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	253	ṃ	ṃ	NOUN
iajs-2676	178	254	)	)	PUNCT
iajs-2676	178	255	∈	∈	PROPN
iajs-2676	178	256	ҳ	ҳ	PROPN
iajs-2676	178	257	,	,	PUNCT
iajs-2676	178	258	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	259	ṃ	ṃ	NOUN
iajs-2676	178	260	)	)	PUNCT
iajs-2676	178	261	≠	≠	PROPN
iajs-2676	178	262	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	263	ṃ	ṃ	NOUN
iajs-2676	178	264	)	)	PUNCT
iajs-2676	178	265	,	,	PUNCT
iajs-2676	178	266	but	but	CCONJ
iajs-2676	178	267	(	(	PUNCT
iajs-2676	178	268	ҏ2	ҏ2	NOUN
iajs-2676	178	269	↪	↪	PROPN
iajs-2676	178	270	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	178	271	,	,	PUNCT
iajs-2676	178	272	ҳ	ҳ	NOUN
iajs-2676	178	273	)	)	PUNCT
iajs-2676	178	274	)	)	PUNCT
iajs-2676	178	275	,	,	PUNCT
iajs-2676	178	276	∃џṃ	∃џṃ	VERB
iajs-2676	178	277	∈	∈	PROPN
iajs-2676	178	278	ṭ	ṭ	NOUN
iajs-2676	178	279	,	,	PUNCT
iajs-2676	178	280	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	178	281	ṃ	ṃ	NOUN
iajs-2676	178	282	)	)	PUNCT
iajs-2676	178	283	∈	∈	PROPN
iajs-2676	178	284	џṃ	џṃ	NOUN
iajs-2676	178	285	and	and	CCONJ
iajs-2676	178	286	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	178	287	ṃ	ṃ	NOUN
iajs-2676	178	288	)	)	PUNCT
iajs-2676	178	289	∉	∉	PROPN
iajs-2676	178	290	џṃ	џṃ	PROPN
iajs-2676	178	291	,	,	PUNCT
iajs-2676	178	292	this	this	PRON
iajs-2676	178	293	implies	imply	VERB
iajs-2676	178	294	ҏ2	ҏ2	VERB
iajs-2676	178	295	in	in	ADP
iajs-2676	178	296	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	178	297	,	,	PUNCT
iajs-2676	178	298	ҳ	ҳ	NOUN
iajs-2676	178	299	)	)	PUNCT
iajs-2676	178	300	will	will	AUX
iajs-2676	178	301	choose	choose	VERB
iajs-2676	178	302	ᶂ(џṃ	ᶂ(џṃ	PROPN
iajs-2676	178	303	)	)	PUNCT
iajs-2676	178	304	is	be	AUX
iajs-2676	178	305	a	a	DET
iajs-2676	178	306	ɉpg‐open	ɉpg‐open	ADJ
iajs-2676	178	307	set	set	NOUN
iajs-2676	178	308	,	,	PUNCT
iajs-2676	178	309	thus	thus	ADV
iajs-2676	178	310	ƀ{ᶂ	ƀ{ᶂ	ADJ
iajs-2676	178	311	{	{	PUNCT
iajs-2676	178	312	џ1	џ1	NOUN
iajs-2676	178	313	}	}	PUNCT
iajs-2676	178	314	,	,	PUNCT
iajs-2676	178	315	ᶂ{џ2	ᶂ{џ2	NUM
iajs-2676	178	316	}	}	PUNCT
iajs-2676	178	317	…	…	PUNCT
iajs-2676	178	318	,	,	PUNCT
iajs-2676	178	319	ᶂ{џṃ	ᶂ{џṃ	PROPN
iajs-2676	178	320	}	}	PUNCT
iajs-2676	178	321	.	.	PUNCT
iajs-2676	178	322	.	.	PUNCT
iajs-2676	178	323	.	.	PUNCT
iajs-2676	179	1	}	}	PUNCT
iajs-2676	179	2	is	be	AUX
iajs-2676	179	3	the	the	DET
iajs-2676	179	4	winning	win	VERB
iajs-2676	179	5	strategy	strategy	NOUN
iajs-2676	179	6	for	for	ADP
iajs-2676	179	7	ҏ2	ҏ2	NOUN
iajs-2676	179	8	in	in	ADP
iajs-2676	179	9	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	179	10	,	,	PUNCT
iajs-2676	179	11	ҳ	ҳ	NOUN
iajs-2676	179	12	)	)	PUNCT
iajs-2676	179	13	)	)	PUNCT
iajs-2676	179	14	.	.	PUNCT
iajs-2676	180	1	ibn	ibn	PROPN
iajs-2676	180	2	al	al	PROPN
iajs-2676	180	3	-	-	PUNCT
iajs-2676	180	4	haitham	haitham	PROPN
iajs-2676	180	5	jour	jour	X
iajs-2676	180	6	.	.	PROPN
iajs-2676	180	7	for	for	ADP
iajs-2676	180	8	pure	pure	ADJ
iajs-2676	180	9	&	&	CCONJ
iajs-2676	180	10	appl	appl	PROPN
iajs-2676	180	11	.	.	PUNCT
iajs-2676	181	1	sci	sci	PROPN
iajs-2676	181	2	.	.	PROPN
iajs-2676	182	1	34(3)2021	34(3)2021	NUM
iajs-2676	182	2	46	46	NUM
iajs-2676	182	3	(	(	PUNCT
iajs-2676	182	4	2	2	NUM
iajs-2676	182	5	)	)	PUNCT
iajs-2676	182	6	.	.	PUNCT
iajs-2676	183	1	in	in	ADP
iajs-2676	183	2	the	the	DET
iajs-2676	183	3	game	game	NOUN
iajs-2676	183	4	ģ	ģ	X
iajs-2676	183	5	(	(	PUNCT
iajs-2676	183	6	ṫ𝑖	ṫ𝑖	NOUN
iajs-2676	183	7	,	,	PUNCT
iajs-2676	183	8	ɉ	ɉ	NOUN
iajs-2676	183	9	)	)	PUNCT
iajs-2676	183	10	where(i	where(i	NOUN
iajs-2676	183	11	=	=	SYM
iajs-2676	183	12	1	1	NUM
iajs-2676	183	13	)	)	PUNCT
iajs-2676	183	14	,	,	PUNCT
iajs-2676	183	15	in	in	ADP
iajs-2676	183	16	the	the	DET
iajs-2676	183	17	ṃ‐th	ṃ‐th	PROPN
iajs-2676	183	18	round	round	NOUN
iajs-2676	183	19	ҏ1	ҏ1	ADJ
iajs-2676	183	20	in	in	ADP
iajs-2676	183	21	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	183	22	,	,	PUNCT
iajs-2676	183	23	ɉ	ɉ	NOUN
iajs-2676	183	24	)	)	PUNCT
iajs-2676	183	25	choose	choose	VERB
iajs-2676	183	26	ς	ς	PROPN
iajs-2676	183	27	ṃ	ṃ	NOUN
iajs-2676	183	28	≠	≠	PROPN
iajs-2676	183	29	ẓ	ẓ	NOUN
iajs-2676	183	30	ṃ	ṃ	NOUN
iajs-2676	183	31	,	,	PUNCT
iajs-2676	183	32	ς	ς	PROPN
iajs-2676	183	33	ṃ	ṃ	NOUN
iajs-2676	183	34	,	,	PUNCT
iajs-2676	183	35	ẓ	ẓ	VERB
iajs-2676	183	36	ṃ	ṃ	NOUN
iajs-2676	183	37	∈	∈	PROPN
iajs-2676	183	38	ὑ.	ὑ.	PROPN
iajs-2676	183	39	next	next	ADV
iajs-2676	183	40	,	,	PUNCT
iajs-2676	183	41	ҏ2	ҏ2	VERB
iajs-2676	183	42	in	in	ADP
iajs-2676	183	43	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	183	44	,	,	PUNCT
iajs-2676	183	45	ɉ	ɉ	NOUN
iajs-2676	183	46	)	)	PUNCT
iajs-2676	183	47	will	will	AUX
iajs-2676	183	48	hold	hold	VERB
iajs-2676	183	49	account	account	NOUN
iajs-2676	183	50	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	183	51	ṃ	ṃ	NOUN
iajs-2676	183	52	)	)	PUNCT
iajs-2676	183	53	,	,	PUNCT
iajs-2676	183	54	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	183	55	ṃ	ṃ	NOUN
iajs-2676	183	56	)	)	PUNCT
iajs-2676	183	57	∈	∈	PROPN
iajs-2676	183	58	ҳ	ҳ	PROPN
iajs-2676	183	59	,	,	PUNCT
iajs-2676	183	60	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	183	61	ṃ	ṃ	NOUN
iajs-2676	183	62	)	)	PUNCT
iajs-2676	183	63	≠	≠	PROPN
iajs-2676	183	64	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	183	65	ṃ	ṃ	NOUN
iajs-2676	183	66	)	)	PUNCT
iajs-2676	183	67	,	,	PUNCT
iajs-2676	183	68	but	but	CCONJ
iajs-2676	183	69	(	(	PUNCT
iajs-2676	183	70	ҏ2	ҏ2	NOUN
iajs-2676	183	71	↪	↪	PROPN
iajs-2676	183	72	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	183	73	,	,	PUNCT
iajs-2676	183	74	ҳ	ҳ	NOUN
iajs-2676	183	75	)	)	PUNCT
iajs-2676	183	76	)	)	PUNCT
iajs-2676	183	77	,	,	PUNCT
iajs-2676	183	78	∃џṃ	∃џṃ	VERB
iajs-2676	183	79	,	,	PUNCT
iajs-2676	183	80	ṿṃ	ṿṃ	NOUN
iajs-2676	183	81	∈	∈	PROPN
iajs-2676	183	82	ṭ	ṭ	NOUN
iajs-2676	183	83	,	,	PUNCT
iajs-2676	183	84	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	183	85	ṃ	ṃ	NOUN
iajs-2676	183	86	)	)	PUNCT
iajs-2676	183	87	∈	∈	PROPN
iajs-2676	183	88	(	(	PUNCT
iajs-2676	183	89	џṃ‐ṿṃ	џṃ‐ṿṃ	NUM
iajs-2676	183	90	)	)	PUNCT
iajs-2676	183	91	and	and	CCONJ
iajs-2676	183	92	ᶂ−1(z	ᶂ−1(z	NOUN
iajs-2676	183	93	ṃ	ṃ	NOUN
iajs-2676	183	94	)	)	PUNCT
iajs-2676	183	95	∈	∈	PROPN
iajs-2676	183	96	(	(	PUNCT
iajs-2676	183	97	ṿṃ	ṿṃ	NOUN
iajs-2676	183	98	‐џṃ	‐џṃ	NOUN
iajs-2676	183	99	)	)	PUNCT
iajs-2676	183	100	,	,	PUNCT
iajs-2676	183	101	this	this	PRON
iajs-2676	183	102	implies	imply	VERB
iajs-2676	183	103	ҏ2	ҏ2	NOUN
iajs-2676	183	104	in	in	ADP
iajs-2676	183	105	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	183	106	,	,	PUNCT
iajs-2676	183	107	ҳ	ҳ	NOUN
iajs-2676	183	108	)	)	PUNCT
iajs-2676	183	109	will	will	AUX
iajs-2676	183	110	choose	choose	VERB
iajs-2676	183	111	ᶂ(џṃ	ᶂ(џṃ	NUM
iajs-2676	183	112	)	)	PUNCT
iajs-2676	183	113	and	and	CCONJ
iajs-2676	183	114	ᶂ(ṿṃ	ᶂ(ṿṃ	PRON
iajs-2676	183	115	)	)	PUNCT
iajs-2676	183	116	are	be	AUX
iajs-2676	183	117	ɉpg‐open	ɉpg‐open	NOUN
iajs-2676	183	118	sets	set	NOUN
iajs-2676	183	119	,	,	PUNCT
iajs-2676	183	120	thus	thus	ADV
iajs-2676	183	121	ƀ	ƀ	X
iajs-2676	183	122	=	=	SYM
iajs-2676	183	123	{	{	PUNCT
iajs-2676	183	124	{	{	PUNCT
iajs-2676	183	125	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	183	126	)	)	PUNCT
iajs-2676	183	127	,	,	PUNCT
iajs-2676	183	128	ᶂ(ṿ1	ᶂ(ṿ1	NOUN
iajs-2676	183	129	)	)	PUNCT
iajs-2676	183	130	}	}	PUNCT
iajs-2676	183	131	,	,	PUNCT
iajs-2676	183	132	{	{	PUNCT
iajs-2676	183	133	ᶂ(џ2	ᶂ(џ2	ADJ
iajs-2676	183	134	)	)	PUNCT
iajs-2676	183	135	,	,	PUNCT
iajs-2676	183	136	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	183	137	)	)	PUNCT
iajs-2676	183	138	}	}	PUNCT
iajs-2676	183	139	,	,	PUNCT
iajs-2676	183	140	…	…	PUNCT
iajs-2676	183	141	,	,	PUNCT
iajs-2676	183	142	{	{	PUNCT
iajs-2676	183	143	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	183	144	)	)	PUNCT
iajs-2676	183	145	,	,	PUNCT
iajs-2676	183	146	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	183	147	)	)	PUNCT
iajs-2676	183	148	}	}	PUNCT
iajs-2676	183	149	.	.	PUNCT
iajs-2676	183	150	.	.	PUNCT
iajs-2676	183	151	.	.	PUNCT
iajs-2676	184	1	}	}	PUNCT
iajs-2676	184	2	is	be	AUX
iajs-2676	184	3	the	the	DET
iajs-2676	184	4	winning	win	VERB
iajs-2676	184	5	strategy	strategy	NOUN
iajs-2676	184	6	for	for	ADP
iajs-2676	184	7	ҏ2	ҏ2	NOUN
iajs-2676	184	8	in	in	ADP
iajs-2676	184	9	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	184	10	,	,	PUNCT
iajs-2676	184	11	ҳ	ҳ	NOUN
iajs-2676	184	12	)	)	PUNCT
iajs-2676	184	13	)	)	PUNCT
iajs-2676	184	14	.	.	PUNCT
iajs-2676	185	1	by	by	ADP
iajs-2676	185	2	the	the	DET
iajs-2676	185	3	same	same	ADJ
iajs-2676	185	4	way	way	NOUN
iajs-2676	185	5	we	we	PRON
iajs-2676	185	6	can	can	AUX
iajs-2676	185	7	proof(ҏ2	proof(ҏ2	VERB
iajs-2676	185	8	↪	↪	PROPN
iajs-2676	185	9	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	185	10	,	,	PUNCT
iajs-2676	185	11	ҳ	ҳ	NOUN
iajs-2676	185	12	)	)	PUNCT
iajs-2676	185	13	)	)	PUNCT
iajs-2676	186	1	but	but	CCONJ
iajs-2676	186	2	,	,	PUNCT
iajs-2676	186	3	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	186	4	)	)	PUNCT
iajs-2676	186	5	∩	∩	NOUN
iajs-2676	186	6	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	186	7	)	)	PUNCT
iajs-2676	186	8	=	=	PUNCT
iajs-2676	186	9	∅.	∅.	VERB
iajs-2676	186	10	thus	thus	ADV
iajs-2676	186	11	ƀ	ƀ	X
iajs-2676	186	12	=	=	SYM
iajs-2676	186	13	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	186	14	)	)	PUNCT
iajs-2676	186	15	∩	∩	NOUN
iajs-2676	186	16	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	186	17	)	)	PUNCT
iajs-2676	186	18	=	=	NOUN
iajs-2676	186	19	∅	∅	NOUN
iajs-2676	186	20	is	be	AUX
iajs-2676	186	21	the	the	DET
iajs-2676	186	22	winning	win	VERB
iajs-2676	186	23	strategy	strategy	NOUN
iajs-2676	186	24	for	for	ADP
iajs-2676	186	25	ҏ2	ҏ2	NOUN
iajs-2676	186	26	in	in	ADP
iajs-2676	186	27	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	186	28	,	,	PUNCT
iajs-2676	186	29	ҳ	ҳ	NOUN
iajs-2676	186	30	)	)	PUNCT
iajs-2676	186	31	)	)	PUNCT
iajs-2676	186	32	.	.	PUNCT
iajs-2676	187	1	corollary	corollary	ADJ
iajs-2676	187	2	.	.	PUNCT
iajs-2676	188	1	if	if	SCONJ
iajs-2676	188	2	the	the	DET
iajs-2676	188	3	function	function	NOUN
iajs-2676	188	4	ᶂ	ᶂ	PROPN
iajs-2676	188	5	∶	∶	NOUN
iajs-2676	188	6	(	(	PUNCT
iajs-2676	188	7	ҳ	ҳ	NOUN
iajs-2676	188	8	,	,	PUNCT
iajs-2676	188	9	ṭ	ṭ	NOUN
iajs-2676	188	10	)	)	PUNCT
iajs-2676	188	11			NOUN
iajs-2676	188	12	(	(	PUNCT
iajs-2676	188	13	ὑ	ὑ	INTJ
iajs-2676	188	14	,	,	PUNCT
iajs-2676	188	15	ԏ	ԏ	ADJ
iajs-2676	188	16	)	)	PUNCT
iajs-2676	188	17	is	be	AUX
iajs-2676	188	18	a	a	DET
iajs-2676	188	19	surjective	surjective	ADJ
iajs-2676	188	20	open	open	ADJ
iajs-2676	188	21	function	function	NOUN
iajs-2676	188	22	and	and	CCONJ
iajs-2676	188	23	ҏ2	ҏ2	VERB
iajs-2676	188	24	↪	↪	PROPN
iajs-2676	188	25	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	188	26	,	,	PUNCT
iajs-2676	188	27	ҳ	ҳ	NOUN
iajs-2676	188	28	)	)	PUNCT
iajs-2676	188	29	,	,	PUNCT
iajs-2676	188	30	then	then	ADV
iajs-2676	188	31	ҏ2	ҏ2	VERB
iajs-2676	188	32	↪	↪	PROPN
iajs-2676	188	33	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	188	34	,	,	PUNCT
iajs-2676	188	35	ɉ	ɉ	NOUN
iajs-2676	188	36	)	)	PUNCT
iajs-2676	188	37	,	,	PUNCT
iajs-2676	188	38	where	where	SCONJ
iajs-2676	188	39	i=	i=	PROPN
iajs-2676	188	40	{	{	PUNCT
iajs-2676	188	41	0	0	NUM
iajs-2676	188	42	,	,	PUNCT
iajs-2676	188	43	1	1	NUM
iajs-2676	188	44	,	,	PUNCT
iajs-2676	188	45	2	2	NUM
iajs-2676	188	46	}	}	PUNCT
iajs-2676	188	47	.	.	PUNCT
iajs-2676	189	1	proposition	proposition	NOUN
iajs-2676	189	2	3.4	3.4	NUM
iajs-2676	189	3	.	.	PUNCT
iajs-2676	190	1	if	if	SCONJ
iajs-2676	190	2	the	the	DET
iajs-2676	190	3	function	function	NOUN
iajs-2676	190	4	ᶂ	ᶂ	PROPN
iajs-2676	190	5	∶	∶	NOUN
iajs-2676	190	6	(	(	PUNCT
iajs-2676	190	7	ҳ	ҳ	NOUN
iajs-2676	190	8	,	,	PUNCT
iajs-2676	190	9	ṭ	ṭ	NOUN
iajs-2676	190	10	,	,	PUNCT
iajs-2676	190	11	ẛ	ẛ	NOUN
iajs-2676	190	12	)	)	PUNCT
iajs-2676	190	13			PUNCT
iajs-2676	190	14	(	(	PUNCT
iajs-2676	190	15	ὑ	ὑ	INTJ
iajs-2676	190	16	,	,	PUNCT
iajs-2676	190	17	ԏ	ԏ	PROPN
iajs-2676	190	18	,	,	PUNCT
iajs-2676	190	19	ɉ	ɉ	NOUN
iajs-2676	190	20	)	)	PUNCT
iajs-2676	190	21	is	be	AUX
iajs-2676	190	22	a	a	DET
iajs-2676	190	23	surjective	surjective	ADJ
iajs-2676	190	24	ẛ	ẛ	NOUN
iajs-2676	190	25	∗∗pgo‐function	∗∗pgo‐function	NOUN
iajs-2676	190	26	and	and	CCONJ
iajs-2676	190	27	(	(	PUNCT
iajs-2676	190	28	ҏ2	ҏ2	NOUN
iajs-2676	190	29	↪	↪	PROPN
iajs-2676	190	30	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	190	31	,	,	PUNCT
iajs-2676	190	32	ẛ	ẛ	NOUN
iajs-2676	190	33	)	)	PUNCT
iajs-2676	190	34	then	then	ADV
iajs-2676	190	35	,	,	PUNCT
iajs-2676	190	36	(	(	PUNCT
iajs-2676	190	37	ҏ2	ҏ2	NOUN
iajs-2676	190	38	↪	↪	PROPN
iajs-2676	190	39	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	190	40	,	,	PUNCT
iajs-2676	190	41	ὑ	ὑ	NOUN
iajs-2676	190	42	)	)	PUNCT
iajs-2676	190	43	,	,	PUNCT
iajs-2676	190	44	where	where	SCONJ
iajs-2676	190	45	(	(	PUNCT
iajs-2676	190	46	i	i	NOUN
iajs-2676	190	47	=	=	X
iajs-2676	190	48	0,1and	0,1and	NUM
iajs-2676	190	49	2	2	NUM
iajs-2676	190	50	respectively	respectively	ADV
iajs-2676	190	51	)	)	PUNCT
iajs-2676	190	52	.	.	PUNCT
iajs-2676	191	1	proof(1	proof(1	NOUN
iajs-2676	191	2	)	)	PUNCT
iajs-2676	191	3	.	.	PUNCT
iajs-2676	192	1	in	in	ADP
iajs-2676	192	2	the	the	DET
iajs-2676	192	3	game	game	NOUN
iajs-2676	192	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	192	5	,	,	PUNCT
iajs-2676	192	6	ὑ	ὑ	NOUN
iajs-2676	192	7	)	)	PUNCT
iajs-2676	192	8	where(i	where(i	NOUN
iajs-2676	192	9	=	=	SYM
iajs-2676	192	10	0	0	NUM
iajs-2676	192	11	)	)	PUNCT
iajs-2676	192	12	,	,	PUNCT
iajs-2676	192	13	in	in	ADP
iajs-2676	192	14	the	the	DET
iajs-2676	192	15	first	first	ADJ
iajs-2676	192	16	round	round	NOUN
iajs-2676	192	17	,	,	PUNCT
iajs-2676	192	18	ҏ1	ҏ1	ADJ
iajs-2676	192	19	in	in	ADP
iajs-2676	192	20	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	192	21	,	,	PUNCT
iajs-2676	192	22	ὑ	ὑ	NOUN
iajs-2676	192	23	)	)	PUNCT
iajs-2676	192	24	will	will	AUX
iajs-2676	192	25	choose	choose	VERB
iajs-2676	192	26	ς	ς	PROPN
iajs-2676	192	27	1	1	NUM
iajs-2676	192	28	≠	≠	PROPN
iajs-2676	192	29	ẓ	ẓ	SYM
iajs-2676	192	30	1	1	NUM
iajs-2676	192	31	such	such	ADJ
iajs-2676	192	32	that	that	SCONJ
iajs-2676	192	33	ς	ς	PROPN
iajs-2676	192	34	1	1	NUM
iajs-2676	192	35	,	,	PUNCT
iajs-2676	192	36	ẓ	ẓ	SYM
iajs-2676	192	37	1	1	NUM
iajs-2676	192	38	∈	∈	NOUN
iajs-2676	192	39	ὑ.	ὑ.	NOUN
iajs-2676	192	40	next	next	ADV
iajs-2676	192	41	,	,	PUNCT
iajs-2676	192	42	ҏ2	ҏ2	VERB
iajs-2676	192	43	in	in	ADP
iajs-2676	192	44	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	192	45	,	,	PUNCT
iajs-2676	192	46	ὑ	ὑ	NOUN
iajs-2676	192	47	)	)	PUNCT
iajs-2676	192	48	will	will	AUX
iajs-2676	192	49	hold	hold	VERB
iajs-2676	192	50	account	account	NOUN
iajs-2676	192	51	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	52	1	1	NUM
iajs-2676	192	53	)	)	PUNCT
iajs-2676	192	54	,	,	PUNCT
iajs-2676	192	55	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	192	56	1	1	NUM
iajs-2676	192	57	)	)	PUNCT
iajs-2676	192	58	∈	∈	PROPN
iajs-2676	192	59	ҳ	ҳ	PROPN
iajs-2676	192	60	,	,	PUNCT
iajs-2676	192	61	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	62	1	1	NUM
iajs-2676	192	63	)	)	PUNCT
iajs-2676	192	64	≠	≠	PROPN
iajs-2676	192	65	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	192	66	1	1	NUM
iajs-2676	192	67	)	)	PUNCT
iajs-2676	192	68	,	,	PUNCT
iajs-2676	192	69	but	but	CCONJ
iajs-2676	192	70	(	(	PUNCT
iajs-2676	192	71	ҏ2	ҏ2	NOUN
iajs-2676	192	72	↪	↪	PROPN
iajs-2676	192	73	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	192	74	,	,	PUNCT
iajs-2676	192	75	ẛ	ẛ	NOUN
iajs-2676	192	76	)	)	PUNCT
iajs-2676	192	77	)	)	PUNCT
iajs-2676	192	78	,	,	PUNCT
iajs-2676	192	79	∃џ1	∃џ1	PROPN
iajs-2676	192	80	∈	∈	PROPN
iajs-2676	192	81	ẛpgo(ҳ	ẛpgo(ҳ	PROPN
iajs-2676	192	82	)	)	PUNCT
iajs-2676	192	83	,	,	PUNCT
iajs-2676	192	84	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	85	1	1	NUM
iajs-2676	192	86	)	)	PUNCT
iajs-2676	192	87	∈	∈	NOUN
iajs-2676	192	88	џ1and	џ1and	NOUN
iajs-2676	192	89	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	192	90	1	1	NUM
iajs-2676	192	91	)	)	PUNCT
iajs-2676	192	92	∉	∉	PROPN
iajs-2676	192	93	џ1	џ1	NOUN
iajs-2676	192	94	,	,	PUNCT
iajs-2676	192	95	ς	ς	PROPN
iajs-2676	192	96	1	1	NUM
iajs-2676	192	97	∈	∈	PROPN
iajs-2676	192	98	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	192	99	)	)	PUNCT
iajs-2676	192	100	and	and	CCONJ
iajs-2676	192	101	z	z	NOUN
iajs-2676	192	102	1	1	NUM
iajs-2676	192	103	∉	∉	X
iajs-2676	192	104	ᶂ(ṿ1	ᶂ(ṿ1	NUM
iajs-2676	192	105	)	)	PUNCT
iajs-2676	192	106	and	and	CCONJ
iajs-2676	192	107	since	since	SCONJ
iajs-2676	192	108	ᶂ	ᶂ	NOUN
iajs-2676	192	109	is	be	AUX
iajs-2676	192	110	ẛ	ẛ	DET
iajs-2676	192	111	∗∗pgo‐function	∗∗pgo‐function	NOUN
iajs-2676	192	112	this	this	PRON
iajs-2676	192	113	implies	imply	VERB
iajs-2676	192	114	ҏ2	ҏ2	NOUN
iajs-2676	192	115	in	in	ADP
iajs-2676	192	116	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	192	117	,	,	PUNCT
iajs-2676	192	118	ẛ	ẛ	NOUN
iajs-2676	192	119	)	)	PUNCT
iajs-2676	192	120	will	will	AUX
iajs-2676	192	121	choose	choose	VERB
iajs-2676	192	122	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	192	123	)	)	PUNCT
iajs-2676	192	124	such	such	ADJ
iajs-2676	192	125	that	that	SCONJ
iajs-2676	192	126	ς	ς	PROPN
iajs-2676	192	127	1	1	NUM
iajs-2676	192	128	∈	∈	PROPN
iajs-2676	192	129	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	192	130	)	)	PUNCT
iajs-2676	192	131	,	,	PUNCT
iajs-2676	192	132	ẓ	ẓ	SYM
iajs-2676	192	133	1	1	NUM
iajs-2676	192	134	∉	∉	NUM
iajs-2676	192	135	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	192	136	)	)	PUNCT
iajs-2676	192	137	open	open	ADJ
iajs-2676	192	138	,	,	PUNCT
iajs-2676	192	139	in	in	ADP
iajs-2676	192	140	the	the	DET
iajs-2676	192	141	second	second	ADJ
iajs-2676	192	142	round	round	NOUN
iajs-2676	192	143	,	,	PUNCT
iajs-2676	192	144	ҏ1	ҏ1	ADJ
iajs-2676	192	145	in	in	ADP
iajs-2676	192	146	ģ(ṭ0	ģ(ṭ0	PROPN
iajs-2676	192	147	,	,	PUNCT
iajs-2676	192	148	ὑ	ὑ	PRON
iajs-2676	192	149	)	)	PUNCT
iajs-2676	192	150	choose	choose	VERB
iajs-2676	192	151	ς	ς	PROPN
iajs-2676	192	152	2	2	NUM
iajs-2676	192	153	≠	≠	PROPN
iajs-2676	192	154	ẓ	ẓ	ADP
iajs-2676	192	155	2	2	NUM
iajs-2676	192	156	,	,	PUNCT
iajs-2676	192	157	ς	ς	PROPN
iajs-2676	192	158	2	2	NUM
iajs-2676	192	159	,	,	PUNCT
iajs-2676	192	160	ẓ	ẓ	SYM
iajs-2676	192	161	2	2	NUM
iajs-2676	192	162	∈	∈	NOUN
iajs-2676	192	163	ὑ.	ὑ.	NOUN
iajs-2676	192	164	next	next	ADV
iajs-2676	192	165	,	,	PUNCT
iajs-2676	192	166	ҏ2	ҏ2	VERB
iajs-2676	192	167	in	in	ADP
iajs-2676	192	168	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	192	169	,	,	PUNCT
iajs-2676	192	170	ὑ	ὑ	NOUN
iajs-2676	192	171	)	)	PUNCT
iajs-2676	192	172	will	will	AUX
iajs-2676	192	173	hold	hold	VERB
iajs-2676	192	174	account	account	NOUN
iajs-2676	192	175	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	176	2	2	NUM
iajs-2676	192	177	)	)	PUNCT
iajs-2676	192	178	,	,	PUNCT
iajs-2676	192	179	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	192	180	2	2	NUM
iajs-2676	192	181	)	)	PUNCT
iajs-2676	192	182	∈	∈	PROPN
iajs-2676	192	183	ҳ	ҳ	PROPN
iajs-2676	192	184	,	,	PUNCT
iajs-2676	192	185	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	186	2	2	NUM
iajs-2676	192	187	)	)	PUNCT
iajs-2676	192	188	≠	≠	PROPN
iajs-2676	192	189	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	192	190	2	2	NUM
iajs-2676	192	191	)	)	PUNCT
iajs-2676	192	192	,	,	PUNCT
iajs-2676	192	193	but	but	CCONJ
iajs-2676	192	194	(	(	PUNCT
iajs-2676	192	195	ҏ2	ҏ2	NOUN
iajs-2676	192	196	↪	↪	PROPN
iajs-2676	192	197	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	192	198	,	,	PUNCT
iajs-2676	192	199	ẛ	ẛ	NOUN
iajs-2676	192	200	)	)	PUNCT
iajs-2676	192	201	)	)	PUNCT
iajs-2676	192	202	,	,	PUNCT
iajs-2676	192	203	∃џ2	∃џ2	NOUN
iajs-2676	192	204	∈	∈	PROPN
iajs-2676	192	205	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	192	206	)	)	PUNCT
iajs-2676	192	207	,	,	PUNCT
iajs-2676	192	208	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	192	209	2	2	NUM
iajs-2676	192	210	)	)	PUNCT
iajs-2676	192	211	∈	∈	NOUN
iajs-2676	192	212	џ2	џ2	NOUN
iajs-2676	192	213	andᶂ−1(ẓ	andᶂ−1(ẓ	NOUN
iajs-2676	192	214	2	2	NUM
iajs-2676	192	215	)	)	PUNCT
iajs-2676	192	216	∉	∉	PROPN
iajs-2676	192	217	џ2	џ2	PROPN
iajs-2676	192	218	,	,	PUNCT
iajs-2676	192	219	ς	ς	PROPN
iajs-2676	192	220	2	2	NUM
iajs-2676	192	221	∈	∈	PROPN
iajs-2676	192	222	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	192	223	)	)	PUNCT
iajs-2676	192	224	and	and	CCONJ
iajs-2676	192	225	z	z	NOUN
iajs-2676	192	226	2	2	NUM
iajs-2676	192	227	∉	∉	NOUN
iajs-2676	192	228	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	192	229	)	)	PUNCT
iajs-2676	192	230	this	this	PRON
iajs-2676	192	231	implies	imply	VERB
iajs-2676	192	232	ҏ2	ҏ2	VERB
iajs-2676	192	233	in	in	ADP
iajs-2676	192	234	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	192	235	,	,	PUNCT
iajs-2676	192	236	ẛ	ẛ	NOUN
iajs-2676	192	237	)	)	PUNCT
iajs-2676	192	238	will	will	AUX
iajs-2676	192	239	choose	choose	VERB
iajs-2676	192	240	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	192	241	)	)	PUNCT
iajs-2676	192	242	and	and	CCONJ
iajs-2676	192	243	in	in	ADP
iajs-2676	192	244	ṃ	ṃ	ADV
iajs-2676	192	245	-	-	PUNCT
iajs-2676	192	246	th	th	VERB
iajs-2676	192	247	round	round	NOUN
iajs-2676	192	248	ҏ1	ҏ1	ADJ
iajs-2676	192	249	choose	choose	VERB
iajs-2676	192	250	ς	ς	PROPN
iajs-2676	192	251	ṃ	ṃ	NOUN
iajs-2676	192	252	≠	≠	PROPN
iajs-2676	192	253	ẓ	ẓ	NOUN
iajs-2676	192	254	ṃ	ṃ	NOUN
iajs-2676	192	255	,	,	PUNCT
iajs-2676	192	256	ς	ς	PROPN
iajs-2676	193	1	ṃ	ṃ	NOUN
iajs-2676	193	2	,	,	PUNCT
iajs-2676	193	3	ẓ	ẓ	VERB
iajs-2676	193	4	ṃ	ṃ	NOUN
iajs-2676	193	5	∈	∈	PROPN
iajs-2676	193	6	ὑ.	ὑ.	PROPN
iajs-2676	193	7	next	next	ADV
iajs-2676	193	8	,	,	PUNCT
iajs-2676	193	9	ҏ2	ҏ2	VERB
iajs-2676	193	10	in	in	ADP
iajs-2676	193	11	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	193	12	,	,	PUNCT
iajs-2676	193	13	ὑ	ὑ	NOUN
iajs-2676	193	14	)	)	PUNCT
iajs-2676	193	15	will	will	AUX
iajs-2676	193	16	hold	hold	VERB
iajs-2676	193	17	account	account	NOUN
iajs-2676	193	18	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	193	19	ṃ	ṃ	NOUN
iajs-2676	193	20	)	)	PUNCT
iajs-2676	193	21	,	,	PUNCT
iajs-2676	193	22	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	193	23	ṃ	ṃ	NOUN
iajs-2676	193	24	)	)	PUNCT
iajs-2676	193	25	∈	∈	PROPN
iajs-2676	193	26	ҳ	ҳ	PROPN
iajs-2676	193	27	,	,	PUNCT
iajs-2676	193	28	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	193	29	ṃ	ṃ	NOUN
iajs-2676	193	30	)	)	PUNCT
iajs-2676	193	31	≠	≠	PROPN
iajs-2676	193	32	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	193	33	ṃ	ṃ	NOUN
iajs-2676	193	34	)	)	PUNCT
iajs-2676	193	35	,	,	PUNCT
iajs-2676	193	36	but	but	CCONJ
iajs-2676	193	37	(	(	PUNCT
iajs-2676	193	38	ҏ2	ҏ2	NOUN
iajs-2676	193	39	↪	↪	PROPN
iajs-2676	193	40	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	193	41	,	,	PUNCT
iajs-2676	193	42	ẛ	ẛ	NOUN
iajs-2676	193	43	)	)	PUNCT
iajs-2676	193	44	)	)	PUNCT
iajs-2676	193	45	,	,	PUNCT
iajs-2676	193	46	∃џṃ	∃џṃ	VERB
iajs-2676	193	47	∈	∈	PROPN
iajs-2676	193	48	ẛpgo(ҳ	ẛpgo(ҳ	PROPN
iajs-2676	193	49	)	)	PUNCT
iajs-2676	193	50	,	,	PUNCT
iajs-2676	193	51	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	193	52	ṃ	ṃ	NOUN
iajs-2676	193	53	)	)	PUNCT
iajs-2676	193	54	∈	∈	PROPN
iajs-2676	193	55	џṃ	џṃ	NOUN
iajs-2676	193	56	and	and	CCONJ
iajs-2676	193	57	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	193	58	ṃ	ṃ	NOUN
iajs-2676	193	59	)	)	PUNCT
iajs-2676	193	60	∉	∉	PROPN
iajs-2676	193	61	џṃ	џṃ	PROPN
iajs-2676	193	62	,	,	PUNCT
iajs-2676	193	63	ς	ς	PROPN
iajs-2676	193	64	ṃ	ṃ	X
iajs-2676	193	65	∈	∈	PROPN
iajs-2676	193	66	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	193	67	)	)	PUNCT
iajs-2676	193	68	and	and	CCONJ
iajs-2676	193	69	z	z	NOUN
iajs-2676	193	70	ṃ	ṃ	NOUN
iajs-2676	193	71	∉	∉	PROPN
iajs-2676	193	72	ᶂ(ṿṃ	ᶂ(ṿṃ	X
iajs-2676	193	73	)	)	PUNCT
iajs-2676	193	74	this	this	PRON
iajs-2676	193	75	implies	imply	VERB
iajs-2676	193	76	ҏ2	ҏ2	VERB
iajs-2676	193	77	in	in	ADP
iajs-2676	193	78	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	193	79	,	,	PUNCT
iajs-2676	193	80	ẛ	ẛ	NOUN
iajs-2676	193	81	)	)	PUNCT
iajs-2676	193	82	will	will	AUX
iajs-2676	193	83	choose	choose	VERB
iajs-2676	193	84	ᶂ(џṃ	ᶂ(џṃ	PROPN
iajs-2676	193	85	)	)	PUNCT
iajs-2676	193	86	;	;	PUNCT
iajs-2676	193	87	thus	thus	ADV
iajs-2676	193	88	ƀ	ƀ	X
iajs-2676	193	89	=	=	PUNCT
iajs-2676	193	90	{	{	PUNCT
iajs-2676	193	91	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	193	92	)	)	PUNCT
iajs-2676	193	93	,	,	PUNCT
iajs-2676	193	94	ᶂ(џ2	ᶂ(џ2	NUM
iajs-2676	193	95	)	)	PUNCT
iajs-2676	193	96	,	,	PUNCT
iajs-2676	193	97	…	…	PUNCT
iajs-2676	193	98	,	,	PUNCT
iajs-2676	193	99	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	193	100	)	)	PUNCT
iajs-2676	193	101	.	.	PUNCT
iajs-2676	193	102	.	.	PUNCT
iajs-2676	193	103	.	.	PUNCT
iajs-2676	193	104	}	}	PUNCT
iajs-2676	193	105	is	be	AUX
iajs-2676	193	106	the	the	DET
iajs-2676	193	107	winning	win	VERB
iajs-2676	193	108	strategy	strategy	NOUN
iajs-2676	193	109	for	for	ADP
iajs-2676	193	110	ҏ2	ҏ2	NOUN
iajs-2676	193	111	in	in	ADP
iajs-2676	193	112	ģ(ԏ0	ģ(ԏ0	ADJ
iajs-2676	193	113	,	,	PUNCT
iajs-2676	193	114	ὑ	ὑ	NOUN
iajs-2676	193	115	)	)	PUNCT
iajs-2676	193	116	)	)	PUNCT
iajs-2676	193	117	.	.	PUNCT
iajs-2676	194	1	(	(	PUNCT
iajs-2676	194	2	2	2	NUM
iajs-2676	194	3	)	)	PUNCT
iajs-2676	194	4	.	.	PUNCT
iajs-2676	195	1	in	in	ADP
iajs-2676	195	2	the	the	DET
iajs-2676	195	3	game	game	NOUN
iajs-2676	195	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	195	5	,	,	PUNCT
iajs-2676	195	6	ὑ)where(i	ὑ)where(i	NOUN
iajs-2676	195	7	=	=	SYM
iajs-2676	195	8	1	1	NUM
iajs-2676	195	9	)	)	PUNCT
iajs-2676	195	10	,	,	PUNCT
iajs-2676	195	11	in	in	ADP
iajs-2676	195	12	the	the	DET
iajs-2676	195	13	ṃ	ṃ	NOUN
iajs-2676	195	14	-	-	PUNCT
iajs-2676	195	15	th	th	VERB
iajs-2676	195	16	round	round	NOUN
iajs-2676	195	17	ҏ1choose	ҏ1choose	NOUN
iajs-2676	195	18	ς	ς	PROPN
iajs-2676	195	19	ṃ	ṃ	NOUN
iajs-2676	195	20	≠	≠	PROPN
iajs-2676	195	21	ẓ	ẓ	NOUN
iajs-2676	195	22	ṃ	ṃ	NOUN
iajs-2676	195	23	,	,	PUNCT
iajs-2676	195	24	ς	ς	PROPN
iajs-2676	196	1	ṃ	ṃ	NOUN
iajs-2676	196	2	,	,	PUNCT
iajs-2676	196	3	ẓ	ẓ	VERB
iajs-2676	196	4	ṃ	ṃ	NOUN
iajs-2676	196	5	∈	∈	PROPN
iajs-2676	196	6	ὑ.	ὑ.	PROPN
iajs-2676	196	7	next	next	ADV
iajs-2676	196	8	,	,	PUNCT
iajs-2676	196	9	ҏ2	ҏ2	VERB
iajs-2676	196	10	in	in	ADP
iajs-2676	196	11	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	196	12	,	,	PUNCT
iajs-2676	196	13	ὑ)will	ὑ)will	AUX
iajs-2676	196	14	hold	hold	VERB
iajs-2676	196	15	account	account	NOUN
iajs-2676	196	16	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	196	17	ṃ	ṃ	NOUN
iajs-2676	196	18	)	)	PUNCT
iajs-2676	196	19	,	,	PUNCT
iajs-2676	196	20	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	196	21	ṃ	ṃ	NOUN
iajs-2676	196	22	)	)	PUNCT
iajs-2676	196	23	∈	∈	PROPN
iajs-2676	196	24	ҳ	ҳ	PROPN
iajs-2676	196	25	,	,	PUNCT
iajs-2676	196	26	ᶂ−1(ς	ᶂ−1(ς	PROPN
iajs-2676	196	27	ṃ	ṃ	NOUN
iajs-2676	196	28	)	)	PUNCT
iajs-2676	196	29	≠	≠	PROPN
iajs-2676	196	30	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	196	31	ṃ	ṃ	NOUN
iajs-2676	196	32	)	)	PUNCT
iajs-2676	196	33	,	,	PUNCT
iajs-2676	196	34	but	but	CCONJ
iajs-2676	196	35	(	(	PUNCT
iajs-2676	196	36	ҏ2	ҏ2	NOUN
iajs-2676	196	37	↪	↪	PROPN
iajs-2676	196	38	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	196	39	,	,	PUNCT
iajs-2676	196	40	ẛ	ẛ	NOUN
iajs-2676	196	41	)	)	PUNCT
iajs-2676	196	42	)	)	PUNCT
iajs-2676	196	43	,	,	PUNCT
iajs-2676	196	44	∃џṃ	∃џṃ	VERB
iajs-2676	196	45	,	,	PUNCT
iajs-2676	196	46	ṿṃ	ṿṃ	NOUN
iajs-2676	196	47	∈	∈	NOUN
iajs-2676	196	48	ẛpg‐o(ҳ),ᶂ−1(ς	ẛpg‐o(ҳ),ᶂ−1(ς	NUM
iajs-2676	196	49	ṃ	ṃ	NOUN
iajs-2676	196	50	)	)	PUNCT
iajs-2676	196	51	∈	∈	PROPN
iajs-2676	196	52	(	(	PUNCT
iajs-2676	196	53	џṃ‐ṿṃ	џṃ‐ṿṃ	NUM
iajs-2676	196	54	)	)	PUNCT
iajs-2676	196	55	and	and	CCONJ
iajs-2676	196	56	ᶂ−1(ẓ	ᶂ−1(ẓ	NOUN
iajs-2676	196	57	ṃ	ṃ	NOUN
iajs-2676	196	58	)	)	PUNCT
iajs-2676	196	59	∈	∈	PROPN
iajs-2676	196	60	(	(	PUNCT
iajs-2676	196	61	ṿṃ	ṿṃ	NOUN
iajs-2676	196	62	‐џṃ	‐џṃ	NOUN
iajs-2676	196	63	)	)	PUNCT
iajs-2676	196	64	,	,	PUNCT
iajs-2676	196	65	so	so	ADV
iajs-2676	196	66	ҏ2	ҏ2	VERB
iajs-2676	196	67	in	in	ADP
iajs-2676	196	68	ģ(ṭ1	ģ(ṭ1	PROPN
iajs-2676	196	69	,	,	PUNCT
iajs-2676	196	70	ẛ	ẛ	X
iajs-2676	196	71	)	)	PUNCT
iajs-2676	196	72	will	will	AUX
iajs-2676	196	73	choose	choose	VERB
iajs-2676	196	74	ᶂ	ᶂ	PROPN
iajs-2676	196	75	(	(	PUNCT
iajs-2676	196	76	џṃ	џṃ	NOUN
iajs-2676	196	77	)	)	PUNCT
iajs-2676	196	78	,	,	PUNCT
iajs-2676	196	79	ᶂ	ᶂ	X
iajs-2676	196	80	(	(	PUNCT
iajs-2676	196	81	ṿṃ	ṿṃ	NOUN
iajs-2676	196	82	)	)	PUNCT
iajs-2676	196	83	;	;	PUNCT
iajs-2676	196	84	thus	thus	ADV
iajs-2676	196	85	ƀ	ƀ	X
iajs-2676	196	86	=	=	SYM
iajs-2676	196	87	{	{	PUNCT
iajs-2676	196	88	{	{	PUNCT
iajs-2676	196	89	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	196	90	)	)	PUNCT
iajs-2676	196	91	,	,	PUNCT
iajs-2676	196	92	ᶂ(ṿ1	ᶂ(ṿ1	NOUN
iajs-2676	196	93	)	)	PUNCT
iajs-2676	196	94	}	}	PUNCT
iajs-2676	196	95	,	,	PUNCT
iajs-2676	196	96	{	{	PUNCT
iajs-2676	196	97	ᶂ(џ2	ᶂ(џ2	ADJ
iajs-2676	196	98	)	)	PUNCT
iajs-2676	196	99	,	,	PUNCT
iajs-2676	196	100	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	196	101	)	)	PUNCT
iajs-2676	196	102	}	}	PUNCT
iajs-2676	196	103	,	,	PUNCT
iajs-2676	196	104	…	…	PUNCT
iajs-2676	196	105	,	,	PUNCT
iajs-2676	196	106	{	{	PUNCT
iajs-2676	196	107	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	196	108	)	)	PUNCT
iajs-2676	196	109	,	,	PUNCT
iajs-2676	196	110	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	196	111	)	)	PUNCT
iajs-2676	196	112	}	}	PUNCT
iajs-2676	196	113	.	.	PUNCT
iajs-2676	196	114	.	.	PUNCT
iajs-2676	197	1	}	}	PUNCT
iajs-2676	197	2	is	be	AUX
iajs-2676	197	3	the	the	DET
iajs-2676	197	4	winning	win	VERB
iajs-2676	197	5	strategy	strategy	NOUN
iajs-2676	197	6	for	for	ADP
iajs-2676	197	7	ҏ2	ҏ2	NOUN
iajs-2676	197	8	in	in	ADP
iajs-2676	197	9	ģ(ṭ1	ģ(ṭ1	PROPN
iajs-2676	197	10	,	,	PUNCT
iajs-2676	197	11	ὑ	ὑ	NOUN
iajs-2676	197	12	)	)	PUNCT
iajs-2676	197	13	)	)	PUNCT
iajs-2676	197	14	.	.	PUNCT
iajs-2676	198	1	in	in	ADP
iajs-2676	198	2	the	the	DET
iajs-2676	198	3	same	same	ADJ
iajs-2676	198	4	way	way	NOUN
iajs-2676	198	5	,	,	PUNCT
iajs-2676	198	6	we	we	PRON
iajs-2676	198	7	can	can	AUX
iajs-2676	198	8	proof	proof	NOUN
iajs-2676	198	9	(	(	PUNCT
iajs-2676	198	10	ҏ2	ҏ2	PROPN
iajs-2676	198	11	↪	↪	PROPN
iajs-2676	198	12	(	(	PUNCT
iajs-2676	198	13	ṫ2	ṫ2	PROPN
iajs-2676	198	14	,	,	PUNCT
iajs-2676	198	15	ὑ	ὑ	NOUN
iajs-2676	198	16	)	)	PUNCT
iajs-2676	198	17	)	)	PUNCT
iajs-2676	198	18	,	,	PUNCT
iajs-2676	198	19	but	but	CCONJ
iajs-2676	198	20	ᶂ(џṃ	ᶂ(џṃ	X
iajs-2676	198	21	)	)	PUNCT
iajs-2676	198	22	∩	∩	NOUN
iajs-2676	198	23	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	198	24	)	)	PUNCT
iajs-2676	198	25	=	=	PUNCT
iajs-2676	198	26	∅.	∅.	VERB
iajs-2676	198	27	thus	thus	ADV
iajs-2676	198	28	ƀ	ƀ	X
iajs-2676	198	29	=	=	PUNCT
iajs-2676	198	30	{	{	PUNCT
iajs-2676	198	31	{	{	PUNCT
iajs-2676	198	32	ᶂ(џ1	ᶂ(џ1	NOUN
iajs-2676	198	33	)	)	PUNCT
iajs-2676	198	34	,	,	PUNCT
iajs-2676	198	35	ᶂ(ṿ1	ᶂ(ṿ1	NOUN
iajs-2676	198	36	)	)	PUNCT
iajs-2676	198	37	}	}	PUNCT
iajs-2676	198	38	,	,	PUNCT
iajs-2676	198	39	{	{	PUNCT
iajs-2676	198	40	ᶂ(џ2	ᶂ(џ2	ADJ
iajs-2676	198	41	)	)	PUNCT
iajs-2676	198	42	,	,	PUNCT
iajs-2676	198	43	ᶂ(ṿ2	ᶂ(ṿ2	NOUN
iajs-2676	198	44	)	)	PUNCT
iajs-2676	198	45	}	}	PUNCT
iajs-2676	198	46	,	,	PUNCT
iajs-2676	198	47	…	…	PUNCT
iajs-2676	198	48	,	,	PUNCT
iajs-2676	198	49	{	{	PUNCT
iajs-2676	198	50	ᶂ(џṃ	ᶂ(џṃ	NOUN
iajs-2676	198	51	)	)	PUNCT
iajs-2676	198	52	,	,	PUNCT
iajs-2676	198	53	ᶂ(ṿṃ	ᶂ(ṿṃ	NOUN
iajs-2676	198	54	)	)	PUNCT
iajs-2676	198	55	}	}	PUNCT
iajs-2676	198	56	.	.	PUNCT
iajs-2676	198	57	.	.	PUNCT
iajs-2676	198	58	.	.	PUNCT
iajs-2676	199	1	}	}	PUNCT
iajs-2676	199	2	is	be	AUX
iajs-2676	199	3	the	the	DET
iajs-2676	199	4	winning	win	VERB
iajs-2676	199	5	strategy	strategy	NOUN
iajs-2676	199	6	for	for	ADP
iajs-2676	199	7	ҏ2	ҏ2	NOUN
iajs-2676	199	8	in	in	ADP
iajs-2676	199	9	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	199	10	,	,	PUNCT
iajs-2676	199	11	ὑ	ὑ	NOUN
iajs-2676	199	12	)	)	PUNCT
iajs-2676	199	13	)	)	PUNCT
iajs-2676	199	14	.	.	PUNCT
iajs-2676	200	1	4	4	X
iajs-2676	200	2	.	.	X
iajs-2676	200	3	the	the	DET
iajs-2676	200	4	games	game	NOUN
iajs-2676	200	5	with	with	ADP
iajs-2676	200	6	a	a	DET
iajs-2676	200	7	continuous	continuous	ADJ
iajs-2676	200	8	function	function	NOUN
iajs-2676	200	9	via	via	ADP
iajs-2676	200	10	ẛ𝐩𝐠‐𝐨𝐩𝐞𝐧	ẛ𝐩𝐠‐𝐨𝐩𝐞𝐧	PROPN
iajs-2676	200	11	sets	set	NOUN
iajs-2676	200	12	.	.	PUNCT
iajs-2676	201	1	in	in	ADP
iajs-2676	201	2	this	this	DET
iajs-2676	201	3	part	part	NOUN
iajs-2676	201	4	,	,	PUNCT
iajs-2676	201	5	we	we	PRON
iajs-2676	201	6	will	will	AUX
iajs-2676	201	7	using	use	VERB
iajs-2676	201	8	𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠	𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠	NOUN
iajs-2676	201	9	function	function	NOUN
iajs-2676	201	10	via	via	ADP
iajs-2676	201	11	ẛpg‐	ẛpg‐	PRON
iajs-2676	201	12	open	open	ADV
iajs-2676	201	13	set	set	VERB
iajs-2676	201	14	to	to	PART
iajs-2676	201	15	explain	explain	VERB
iajs-2676	201	16	a	a	DET
iajs-2676	201	17	winning	win	VERB
iajs-2676	201	18	strategy	strategy	NOUN
iajs-2676	201	19	for	for	ADP
iajs-2676	201	20	ҏ1	ҏ1	NOUN
iajs-2676	201	21	and	and	CCONJ
iajs-2676	201	22	ҏ2	ҏ2	VERB
iajs-2676	201	23	in	in	ADP
iajs-2676	201	24	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	201	25	,	,	PUNCT
iajs-2676	201	26	ҳ	ҳ	NOUN
iajs-2676	201	27	)	)	PUNCT
iajs-2676	201	28	and	and	CCONJ
iajs-2676	201	29	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	201	30	,	,	PUNCT
iajs-2676	201	31	ẛ	ẛ	NOUN
iajs-2676	201	32	)	)	PUNCT
iajs-2676	201	33	where	where	SCONJ
iajs-2676	201	34	i	i	PRON
iajs-2676	201	35	=	=	NOUN
iajs-2676	201	36	{	{	PUNCT
iajs-2676	201	37	0,1,2	0,1,2	NOUN
iajs-2676	201	38	}	}	PUNCT
iajs-2676	201	39	.	.	PUNCT
iajs-2676	202	1	definition	definition	NOUN
iajs-2676	202	2	3.6	3.6	NUM
iajs-2676	202	3	.	.	PUNCT
iajs-2676	203	1	(	(	PUNCT
iajs-2676	203	2	1	1	X
iajs-2676	203	3	)	)	PUNCT
iajs-2676	203	4	a	a	DET
iajs-2676	203	5	function	function	NOUN
iajs-2676	203	6	ᶂ	ᶂ	PROPN
iajs-2676	203	7	∶	∶	NOUN
iajs-2676	203	8	(	(	PUNCT
iajs-2676	203	9	ҳ	ҳ	NOUN
iajs-2676	203	10	,	,	PUNCT
iajs-2676	203	11	ṭ	ṭ	NOUN
iajs-2676	203	12	,	,	PUNCT
iajs-2676	203	13	ẛ	ẛ	NOUN
iajs-2676	203	14	)	)	PUNCT
iajs-2676	203	15			PUNCT
iajs-2676	204	1	(	(	PUNCT
iajs-2676	204	2	ὑ	ὑ	INTJ
iajs-2676	204	3	,	,	PUNCT
iajs-2676	204	4	ԏ	ԏ	PROPN
iajs-2676	204	5	,	,	PUNCT
iajs-2676	204	6	ɉ	ɉ	NOUN
iajs-2676	204	7	)	)	PUNCT
iajs-2676	204	8	is	be	AUX
iajs-2676	204	9	;	;	PUNCT
iajs-2676	204	10	1	1	X
iajs-2676	204	11	.	.	X
iajs-2676	204	12	ẛ‐pre‐g‐continuous	ẛ‐pre‐g‐continuous	ADJ
iajs-2676	204	13	function	function	NOUN
iajs-2676	204	14	,	,	PUNCT
iajs-2676	204	15	symbolizes	symbolize	VERB
iajs-2676	204	16	ẛpg‐continuous	ẛpg‐continuous	NUM
iajs-2676	204	17	,	,	PUNCT
iajs-2676	204	18	if	if	SCONJ
iajs-2676	204	19	ᶂ−1(ṿ	ᶂ−1(ṿ	PROPN
iajs-2676	204	20	)	)	PUNCT
iajs-2676	204	21	∈	∈	PROPN
iajs-2676	204	22	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	204	23	)	)	PUNCT
iajs-2676	204	24	for	for	ADP
iajs-2676	204	25	all	all	DET
iajs-2676	204	26	ṿ	ṿ	NOUN
iajs-2676	204	27	∈	∈	PROPN
iajs-2676	204	28	ԏ.	ԏ.	NOUN
iajs-2676	204	29	2	2	NUM
iajs-2676	204	30	.	.	PUNCT
iajs-2676	204	31	strongly‐ẛ‐pre‐g‐continuous	strongly‐ẛ‐pre‐g‐continuous	ADJ
iajs-2676	204	32	function	function	NOUN
iajs-2676	204	33	,	,	PUNCT
iajs-2676	204	34	symbolizes	symbolize	VERB
iajs-2676	204	35	strongly‐ẛpg‐continuous	strongly‐ẛpg‐continuous	PROPN
iajs-2676	204	36	,	,	PUNCT
iajs-2676	204	37	if	if	SCONJ
iajs-2676	204	38	ᶂ−1(ṿ	ᶂ−1(ṿ	PROPN
iajs-2676	204	39	)	)	PUNCT
iajs-2676	204	40	∈	∈	PROPN
iajs-2676	204	41	ṭ	ṭ	NOUN
iajs-2676	204	42	,	,	PUNCT
iajs-2676	204	43	for	for	ADP
iajs-2676	204	44	all	all	DET
iajs-2676	204	45	ṿ	ṿ	NOUN
iajs-2676	204	46	∈	∈	PROPN
iajs-2676	204	47	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	204	48	)	)	PUNCT
iajs-2676	204	49	.	.	PUNCT
iajs-2676	205	1	3	3	X
iajs-2676	205	2	.	.	X
iajs-2676	205	3	ẛ‐pre‐g‐irresolute	ẛ‐pre‐g‐irresolute	NOUN
iajs-2676	205	4	function	function	NOUN
iajs-2676	205	5	,	,	PUNCT
iajs-2676	205	6	symbolizes	symbolize	VERB
iajs-2676	205	7	ẛpg‐irresolute	ẛpg‐irresolute	VERB
iajs-2676	205	8	,	,	PUNCT
iajs-2676	205	9	if	if	SCONJ
iajs-2676	205	10	ᶂ−1(ṿ	ᶂ−1(ṿ	PROPN
iajs-2676	205	11	)	)	PUNCT
iajs-2676	205	12	∈	∈	PROPN
iajs-2676	205	13	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	205	14	)	)	PUNCT
iajs-2676	205	15	for	for	ADP
iajs-2676	205	16	all	all	DET
iajs-2676	205	17	ṿ	ṿ	NOUN
iajs-2676	205	18	∈	∈	PROPN
iajs-2676	205	19	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	205	20	)	)	PUNCT
iajs-2676	205	21	.	.	PUNCT
iajs-2676	206	1	proposition	proposition	NOUN
iajs-2676	206	2	4.6	4.6	NUM
iajs-2676	206	3	.	.	PUNCT
iajs-2676	207	1	if	if	SCONJ
iajs-2676	207	2	the	the	DET
iajs-2676	207	3	function	function	NOUN
iajs-2676	207	4	ᶂ	ᶂ	PROPN
iajs-2676	207	5	∶	∶	NOUN
iajs-2676	207	6	(	(	PUNCT
iajs-2676	207	7	ҳ	ҳ	NOUN
iajs-2676	207	8	,	,	PUNCT
iajs-2676	207	9	ṭ	ṭ	NOUN
iajs-2676	207	10	,	,	PUNCT
iajs-2676	207	11	ẛ)(ὑ	ẛ)(ὑ	NOUN
iajs-2676	207	12	,	,	PUNCT
iajs-2676	207	13	ԏ	ԏ	X
iajs-2676	207	14	,	,	PUNCT
iajs-2676	207	15	ɉ	ɉ	NOUN
iajs-2676	207	16	)	)	PUNCT
iajs-2676	207	17	is	be	AUX
iajs-2676	207	18	an	an	DET
iajs-2676	207	19	injective	injective	ADJ
iajs-2676	207	20	ẛ‐pre‐g‐continuous	ẛ‐pre‐g‐continuous	ADJ
iajs-2676	207	21	function	function	NOUN
iajs-2676	207	22	and	and	CCONJ
iajs-2676	207	23	(	(	PUNCT
iajs-2676	207	24	ҏ2	ҏ2	PROPN
iajs-2676	207	25	↪	↪	PROPN
iajs-2676	207	26	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	207	27	,	,	PUNCT
iajs-2676	207	28	ὑ	ὑ	NOUN
iajs-2676	207	29	)	)	PUNCT
iajs-2676	207	30	then	then	ADV
iajs-2676	207	31	(	(	PUNCT
iajs-2676	207	32	ҏ2	ҏ2	PROPN
iajs-2676	207	33	↪	↪	PROPN
iajs-2676	207	34	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	207	35	,	,	PUNCT
iajs-2676	207	36	ẛ	ẛ	NOUN
iajs-2676	207	37	)	)	PUNCT
iajs-2676	207	38	)	)	PUNCT
iajs-2676	207	39	,	,	PUNCT
iajs-2676	207	40	where	where	SCONJ
iajs-2676	207	41	(	(	PUNCT
iajs-2676	207	42	i=0,1and	i=0,1and	NOUN
iajs-2676	207	43	2	2	NUM
iajs-2676	207	44	respectively	respectively	ADV
iajs-2676	207	45	)	)	PUNCT
iajs-2676	207	46	.	.	PUNCT
iajs-2676	208	1	ibn	ibn	PROPN
iajs-2676	208	2	al	al	PROPN
iajs-2676	208	3	-	-	PUNCT
iajs-2676	208	4	haitham	haitham	PROPN
iajs-2676	208	5	jour	jour	X
iajs-2676	208	6	.	.	PROPN
iajs-2676	208	7	for	for	ADP
iajs-2676	208	8	pure	pure	ADJ
iajs-2676	208	9	&	&	CCONJ
iajs-2676	208	10	appl	appl	PROPN
iajs-2676	208	11	.	.	PUNCT
iajs-2676	209	1	sci	sci	PROPN
iajs-2676	209	2	.	.	PROPN
iajs-2676	210	1	34(3)2021	34(3)2021	NUM
iajs-2676	210	2	47	47	NUM
iajs-2676	210	3	proof	proof	NOUN
iajs-2676	210	4	(	(	PUNCT
iajs-2676	210	5	1	1	NUM
iajs-2676	210	6	)	)	PUNCT
iajs-2676	210	7	.	.	PUNCT
iajs-2676	211	1	in	in	ADP
iajs-2676	211	2	the	the	DET
iajs-2676	211	3	game	game	NOUN
iajs-2676	211	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	211	5	,	,	PUNCT
iajs-2676	211	6	ẛ	ẛ	NOUN
iajs-2676	211	7	)	)	PUNCT
iajs-2676	211	8	where	where	SCONJ
iajs-2676	211	9	(	(	PUNCT
iajs-2676	211	10	i	i	NOUN
iajs-2676	211	11	=	=	NOUN
iajs-2676	211	12	0	0	NUM
iajs-2676	211	13	)	)	PUNCT
iajs-2676	211	14	,	,	PUNCT
iajs-2676	211	15	in	in	ADP
iajs-2676	211	16	the	the	DET
iajs-2676	211	17	first	first	ADJ
iajs-2676	211	18	round	round	NOUN
iajs-2676	211	19	,	,	PUNCT
iajs-2676	211	20	ҏ1will	ҏ1will	NOUN
iajs-2676	211	21	choose	choose	VERB
iajs-2676	211	22	ӿ1	ӿ1	PROPN
iajs-2676	211	23	≠	≠	PROPN
iajs-2676	211	24	r1	r1	NOUN
iajs-2676	211	25	such	such	ADJ
iajs-2676	211	26	that	that	PRON
iajs-2676	211	27	,	,	PUNCT
iajs-2676	211	28	ӿ1	ӿ1	PROPN
iajs-2676	211	29	,	,	PUNCT
iajs-2676	211	30	r1	r1	PROPN
iajs-2676	211	31	∈	∈	PROPN
iajs-2676	211	32	ҳ.	ҳ.	ADV
iajs-2676	211	33	next	next	ADV
iajs-2676	211	34	,	,	PUNCT
iajs-2676	211	35	ҏ2	ҏ2	VERB
iajs-2676	211	36	in	in	ADP
iajs-2676	211	37	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	38	,	,	PUNCT
iajs-2676	211	39	ẛ	ẛ	NOUN
iajs-2676	211	40	)	)	PUNCT
iajs-2676	211	41	will	will	AUX
iajs-2676	211	42	hold	hold	VERB
iajs-2676	211	43	account	account	NOUN
iajs-2676	211	44	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	211	45	)	)	PUNCT
iajs-2676	211	46	,	,	PUNCT
iajs-2676	211	47	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	211	48	)	)	PUNCT
iajs-2676	211	49	∈	∈	PROPN
iajs-2676	211	50	ὑ	ὑ	NOUN
iajs-2676	211	51	,	,	PUNCT
iajs-2676	211	52	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	211	53	)	)	PUNCT
iajs-2676	211	54	≠	≠	PROPN
iajs-2676	211	55	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	211	56	)	)	PUNCT
iajs-2676	211	57	,	,	PUNCT
iajs-2676	211	58	but	but	CCONJ
iajs-2676	211	59	(	(	PUNCT
iajs-2676	211	60	ҏ2	ҏ2	NOUN
iajs-2676	211	61	↪	↪	PROPN
iajs-2676	211	62	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	63	,	,	PUNCT
iajs-2676	211	64	ὑ	ὑ	NOUN
iajs-2676	211	65	)	)	PUNCT
iajs-2676	211	66	,	,	PUNCT
iajs-2676	211	67	∃ṿ1	∃ṿ1	VERB
iajs-2676	211	68	∈	∈	PROPN
iajs-2676	211	69	ԏ	ԏ	NOUN
iajs-2676	211	70	,	,	PUNCT
iajs-2676	211	71	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	211	72	)	)	PUNCT
iajs-2676	211	73	∈	∈	PROPN
iajs-2676	211	74	ṿ1	ṿ1	NOUN
iajs-2676	211	75	and	and	CCONJ
iajs-2676	211	76	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	211	77	)	)	PUNCT
iajs-2676	211	78	∉	∉	PROPN
iajs-2676	211	79	ṿ1	ṿ1	NOUN
iajs-2676	211	80	,	,	PUNCT
iajs-2676	211	81	but	but	CCONJ
iajs-2676	211	82	ᶂ	ᶂ	NOUN
iajs-2676	211	83	is	be	AUX
iajs-2676	211	84	ẛpg‐continuous	ẛpg‐continuous	ADJ
iajs-2676	211	85	function	function	NOUN
iajs-2676	211	86	,	,	PUNCT
iajs-2676	211	87	so	so	ADV
iajs-2676	211	88	ᶂ−1(ṿ	ᶂ−1(ṿ	PROPN
iajs-2676	211	89	)	)	PUNCT
iajs-2676	211	90	∈	∈	PROPN
iajs-2676	211	91	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	211	92	)	)	PUNCT
iajs-2676	211	93	,	,	PUNCT
iajs-2676	211	94	this	this	PRON
iajs-2676	211	95	implies	imply	VERB
iajs-2676	211	96	ҏ2	ҏ2	VERB
iajs-2676	211	97	in	in	ADP
iajs-2676	211	98	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	99	,	,	PUNCT
iajs-2676	211	100	ẛ	ẛ	X
iajs-2676	211	101	)	)	PUNCT
iajs-2676	211	102	choose	choose	NOUN
iajs-2676	211	103	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	211	104	)	)	PUNCT
iajs-2676	211	105	is	be	AUX
iajs-2676	211	106	an	an	DET
iajs-2676	211	107	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	211	108	)	)	PUNCT
iajs-2676	211	109	,	,	PUNCT
iajs-2676	211	110	in	in	ADP
iajs-2676	211	111	the	the	DET
iajs-2676	211	112	second	second	ADJ
iajs-2676	211	113	round	round	NOUN
iajs-2676	211	114	,	,	PUNCT
iajs-2676	211	115	ҏ1	ҏ1	ADJ
iajs-2676	211	116	in	in	ADP
iajs-2676	211	117	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	118	,	,	PUNCT
iajs-2676	211	119	ẛ	ẛ	NOUN
iajs-2676	211	120	)	)	PUNCT
iajs-2676	211	121	will	will	AUX
iajs-2676	211	122	choose	choose	VERB
iajs-2676	211	123	ӿ2	ӿ2	PROPN
iajs-2676	211	124	≠	≠	PROPN
iajs-2676	211	125	r2	r2	NOUN
iajs-2676	211	126	such	such	ADJ
iajs-2676	211	127	that	that	SCONJ
iajs-2676	211	128	ӿ2	ӿ2	PROPN
iajs-2676	211	129	,	,	PUNCT
iajs-2676	211	130	r2	r2	PROPN
iajs-2676	211	131	∈	∈	PROPN
iajs-2676	211	132	ҳ.	ҳ.	ADV
iajs-2676	211	133	next	next	ADV
iajs-2676	211	134	,	,	PUNCT
iajs-2676	211	135	ҏ2	ҏ2	VERB
iajs-2676	211	136	in	in	ADP
iajs-2676	211	137	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	211	138	,	,	PUNCT
iajs-2676	211	139	ҳ	ҳ	NOUN
iajs-2676	211	140	)	)	PUNCT
iajs-2676	211	141	will	will	AUX
iajs-2676	211	142	hold	hold	VERB
iajs-2676	211	143	account	account	NOUN
iajs-2676	211	144	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	211	145	)	)	PUNCT
iajs-2676	211	146	,	,	PUNCT
iajs-2676	211	147	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	211	148	)	)	PUNCT
iajs-2676	211	149	∈	∈	PROPN
iajs-2676	211	150	ὑ	ὑ	NOUN
iajs-2676	211	151	,	,	PUNCT
iajs-2676	211	152	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	211	153	)	)	PUNCT
iajs-2676	211	154	≠	≠	PROPN
iajs-2676	211	155	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	211	156	)	)	PUNCT
iajs-2676	211	157	,	,	PUNCT
iajs-2676	211	158	but	but	CCONJ
iajs-2676	211	159	(	(	PUNCT
iajs-2676	211	160	ҏ2	ҏ2	NOUN
iajs-2676	211	161	↪	↪	PROPN
iajs-2676	211	162	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	163	,	,	PUNCT
iajs-2676	211	164	ὑ	ὑ	NOUN
iajs-2676	211	165	)	)	PUNCT
iajs-2676	211	166	,	,	PUNCT
iajs-2676	211	167	∃ṿ2	∃ṿ2	PROPN
iajs-2676	211	168	∈	∈	PROPN
iajs-2676	211	169	ԏ	ԏ	NOUN
iajs-2676	211	170	,	,	PUNCT
iajs-2676	211	171	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	211	172	)	)	PUNCT
iajs-2676	211	173	∈	∈	PROPN
iajs-2676	211	174	ṿ2	ṿ2	NOUN
iajs-2676	211	175	and	and	CCONJ
iajs-2676	211	176	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	211	177	)	)	PUNCT
iajs-2676	211	178	∉	∉	PROPN
iajs-2676	211	179	ṿ2	ṿ2	PROPN
iajs-2676	211	180	,	,	PUNCT
iajs-2676	211	181	this	this	PRON
iajs-2676	211	182	implies	imply	VERB
iajs-2676	211	183	ҏ2	ҏ2	VERB
iajs-2676	211	184	in	in	ADP
iajs-2676	211	185	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	186	,	,	PUNCT
iajs-2676	211	187	ẛ	ẛ	X
iajs-2676	211	188	)	)	PUNCT
iajs-2676	211	189	choose	choose	VERB
iajs-2676	211	190	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	211	191	)	)	PUNCT
iajs-2676	211	192	is	be	AUX
iajs-2676	211	193	an	an	DET
iajs-2676	211	194	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	211	195	)	)	PUNCT
iajs-2676	211	196	and	and	CCONJ
iajs-2676	211	197	in	in	ADP
iajs-2676	211	198	ṃ	ṃ	ADV
iajs-2676	211	199	-	-	PUNCT
iajs-2676	211	200	th	th	VERB
iajs-2676	211	201	round	round	NOUN
iajs-2676	211	202	ҏ1	ҏ1	ADJ
iajs-2676	211	203	in	in	ADP
iajs-2676	211	204	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	211	205	,	,	PUNCT
iajs-2676	211	206	ẛ	ẛ	NOUN
iajs-2676	211	207	)	)	PUNCT
iajs-2676	211	208	will	will	AUX
iajs-2676	211	209	choose	choose	VERB
iajs-2676	211	210	ӿṃ	ӿṃ	PRON
iajs-2676	211	211	≠	≠	PROPN
iajs-2676	211	212	rṃ	rṃ	ADP
iajs-2676	211	213	such	such	DET
iajs-2676	211	214	that	that	DET
iajs-2676	211	215	ӿṃ	ӿṃ	NOUN
iajs-2676	211	216	,	,	PUNCT
iajs-2676	211	217	rṃ	rṃ	ADP
iajs-2676	211	218	∈	∈	PROPN
iajs-2676	211	219	ҳ.	ҳ.	ADV
iajs-2676	211	220	next	next	ADV
iajs-2676	211	221	,	,	PUNCT
iajs-2676	211	222	ҏ2	ҏ2	VERB
iajs-2676	211	223	in	in	ADP
iajs-2676	211	224	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	211	225	,	,	PUNCT
iajs-2676	211	226	ҳ	ҳ	NOUN
iajs-2676	211	227	)	)	PUNCT
iajs-2676	211	228	choose	choose	VERB
iajs-2676	211	229	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	211	230	)	)	PUNCT
iajs-2676	211	231	,	,	PUNCT
iajs-2676	211	232	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	211	233	)	)	PUNCT
iajs-2676	211	234	∈	∈	PROPN
iajs-2676	211	235	ὑ	ὑ	PROPN
iajs-2676	211	236	,	,	PUNCT
iajs-2676	211	237	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	211	238	)	)	PUNCT
iajs-2676	211	239	≠	≠	PROPN
iajs-2676	211	240	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	211	241	)	)	PUNCT
iajs-2676	211	242	,	,	PUNCT
iajs-2676	211	243	but	but	CCONJ
iajs-2676	211	244	(	(	PUNCT
iajs-2676	211	245	ҏ2	ҏ2	NOUN
iajs-2676	211	246	↪	↪	PROPN
iajs-2676	211	247	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	248	,	,	PUNCT
iajs-2676	211	249	ὑ	ὑ	NOUN
iajs-2676	211	250	)	)	PUNCT
iajs-2676	211	251	,	,	PUNCT
iajs-2676	211	252	∃ṿṃ	∃ṿṃ	NOUN
iajs-2676	211	253	∈	∈	PROPN
iajs-2676	211	254	ԏ	ԏ	PROPN
iajs-2676	211	255	,	,	PUNCT
iajs-2676	211	256	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	211	257	)	)	PUNCT
iajs-2676	211	258	∈	∈	PROPN
iajs-2676	211	259	ṿṃ	ṿṃ	NOUN
iajs-2676	211	260	and	and	CCONJ
iajs-2676	211	261	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	211	262	)	)	PUNCT
iajs-2676	211	263	∉	∉	PROPN
iajs-2676	211	264	ṿṃ	ṿṃ	PROPN
iajs-2676	211	265	,	,	PUNCT
iajs-2676	211	266	this	this	PRON
iajs-2676	211	267	implies	imply	VERB
iajs-2676	211	268	ҏ2	ҏ2	VERB
iajs-2676	211	269	in	in	ADP
iajs-2676	211	270	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	211	271	,	,	PUNCT
iajs-2676	211	272	ẛ	ẛ	X
iajs-2676	211	273	)	)	PUNCT
iajs-2676	211	274	choose	choose	VERB
iajs-2676	211	275	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	PROPN
iajs-2676	211	276	)	)	PUNCT
iajs-2676	211	277	is	be	AUX
iajs-2676	211	278	an	an	DET
iajs-2676	211	279	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	211	280	)	)	PUNCT
iajs-2676	211	281	thus	thus	ADV
iajs-2676	211	282	ƀ	ƀ	X
iajs-2676	211	283	=	=	X
iajs-2676	211	284	{	{	PUNCT
iajs-2676	211	285	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	211	286	)	)	PUNCT
iajs-2676	211	287	,	,	PUNCT
iajs-2676	211	288	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	211	289	)	)	PUNCT
iajs-2676	211	290	,	,	PUNCT
iajs-2676	211	291	…	…	PUNCT
iajs-2676	211	292	,	,	PUNCT
iajs-2676	211	293	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	211	294	)	)	PUNCT
iajs-2676	211	295	}	}	PUNCT
iajs-2676	211	296	.	.	PUNCT
iajs-2676	211	297	.	.	PUNCT
iajs-2676	211	298	.	.	PUNCT
iajs-2676	212	1	}	}	PUNCT
iajs-2676	212	2	is	be	AUX
iajs-2676	212	3	winning	win	VERB
iajs-2676	212	4	strategy	strategy	NOUN
iajs-2676	212	5	for	for	ADP
iajs-2676	212	6	ҏ2	ҏ2	NOUN
iajs-2676	212	7	in	in	ADP
iajs-2676	212	8	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	212	9	,	,	PUNCT
iajs-2676	212	10	ẛ	ẛ	NOUN
iajs-2676	212	11	)	)	PUNCT
iajs-2676	212	12	)	)	PUNCT
iajs-2676	212	13	.	.	PUNCT
iajs-2676	213	1	(	(	PUNCT
iajs-2676	213	2	2	2	X
iajs-2676	213	3	)	)	PUNCT
iajs-2676	213	4	in	in	ADP
iajs-2676	213	5	the	the	DET
iajs-2676	213	6	game	game	NOUN
iajs-2676	213	7	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	213	8	,	,	PUNCT
iajs-2676	213	9	ẛ	ẛ	NOUN
iajs-2676	213	10	)	)	PUNCT
iajs-2676	213	11	where	where	SCONJ
iajs-2676	213	12	(	(	PUNCT
iajs-2676	213	13	i	i	NOUN
iajs-2676	213	14	=	=	NOUN
iajs-2676	213	15	1	1	NUM
iajs-2676	213	16	)	)	PUNCT
iajs-2676	213	17	,	,	PUNCT
iajs-2676	213	18	in	in	ADP
iajs-2676	213	19	ṃ	ṃ	ADV
iajs-2676	213	20	-	-	PUNCT
iajs-2676	213	21	th	th	VERB
iajs-2676	213	22	round	round	NOUN
iajs-2676	213	23	ҏ1	ҏ1	ADJ
iajs-2676	213	24	in	in	ADP
iajs-2676	213	25	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	213	26	,	,	PUNCT
iajs-2676	213	27	ẛ	ẛ	NOUN
iajs-2676	213	28	)	)	PUNCT
iajs-2676	213	29	will	will	AUX
iajs-2676	213	30	choose	choose	VERB
iajs-2676	213	31	ӿṃ	ӿṃ	PRON
iajs-2676	213	32	≠	≠	PROPN
iajs-2676	213	33	rṃ	rṃ	ADP
iajs-2676	213	34	such	such	DET
iajs-2676	213	35	that	that	DET
iajs-2676	213	36	ӿṃ	ӿṃ	NOUN
iajs-2676	213	37	,	,	PUNCT
iajs-2676	213	38	rṃ	rṃ	ADP
iajs-2676	213	39	∈	∈	PROPN
iajs-2676	213	40	ҳ.	ҳ.	ADV
iajs-2676	213	41	next	next	ADV
iajs-2676	213	42	,	,	PUNCT
iajs-2676	213	43	ҏ2	ҏ2	VERB
iajs-2676	213	44	in	in	ADP
iajs-2676	213	45	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	213	46	,	,	PUNCT
iajs-2676	213	47	ҳ	ҳ	NOUN
iajs-2676	213	48	)	)	PUNCT
iajs-2676	213	49	will	will	AUX
iajs-2676	213	50	hold	hold	VERB
iajs-2676	213	51	account	account	NOUN
iajs-2676	213	52	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	213	53	)	)	PUNCT
iajs-2676	213	54	,	,	PUNCT
iajs-2676	213	55	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	213	56	)	)	PUNCT
iajs-2676	213	57	∈	∈	PROPN
iajs-2676	213	58	ὑ	ὑ	PROPN
iajs-2676	213	59	,	,	PUNCT
iajs-2676	213	60	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	213	61	)	)	PUNCT
iajs-2676	213	62	≠	≠	PROPN
iajs-2676	213	63	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	213	64	)	)	PUNCT
iajs-2676	213	65	,	,	PUNCT
iajs-2676	213	66	but	but	CCONJ
iajs-2676	213	67	(	(	PUNCT
iajs-2676	213	68	ҏ2	ҏ2	NOUN
iajs-2676	213	69	↪	↪	PROPN
iajs-2676	213	70	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	213	71	,	,	PUNCT
iajs-2676	213	72	ὑ	ὑ	NOUN
iajs-2676	213	73	)	)	PUNCT
iajs-2676	213	74	,	,	PUNCT
iajs-2676	213	75	∃џṃ	∃џṃ	VERB
iajs-2676	213	76	,	,	PUNCT
iajs-2676	213	77	ṿṃ	ṿṃ	NOUN
iajs-2676	213	78	∈	∈	PROPN
iajs-2676	213	79	ԏ	ԏ	PROPN
iajs-2676	213	80	,	,	PUNCT
iajs-2676	213	81	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	213	82	)	)	PUNCT
iajs-2676	213	83	∈	∈	PROPN
iajs-2676	213	84	(	(	PUNCT
iajs-2676	213	85	џṃ‐	џṃ‐	NOUN
iajs-2676	213	86	ṿṃ	ṿṃ	PROPN
iajs-2676	213	87	)	)	PUNCT
iajs-2676	213	88	and	and	CCONJ
iajs-2676	213	89	ᶂ(rṃ	ᶂ(rṃ	NUM
iajs-2676	213	90	)	)	PUNCT
iajs-2676	213	91	∈	∈	NOUN
iajs-2676	213	92	(	(	PUNCT
iajs-2676	213	93	ṿṃ	ṿṃ	PROPN
iajs-2676	213	94	‐	‐	PROPN
iajs-2676	213	95	џṃ	џṃ	NOUN
iajs-2676	213	96	)	)	PUNCT
iajs-2676	213	97	,	,	PUNCT
iajs-2676	213	98	this	this	PRON
iajs-2676	213	99	implies	imply	VERB
iajs-2676	213	100	ҏ2	ҏ2	NOUN
iajs-2676	213	101	in	in	ADP
iajs-2676	213	102	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	213	103	,	,	PUNCT
iajs-2676	213	104	ẛ)choose	ẛ)choose	SYM
iajs-2676	213	105	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	213	106	)	)	PUNCT
iajs-2676	213	107	,	,	PUNCT
iajs-2676	213	108	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	213	109	)	)	PUNCT
iajs-2676	213	110	,	,	PUNCT
iajs-2676	213	111	are	be	AUX
iajs-2676	213	112	ẛpgo(ҳ	ẛpgo(ҳ	NOUN
iajs-2676	213	113	)	)	PUNCT
iajs-2676	213	114	,	,	PUNCT
iajs-2676	213	115	thus	thus	ADV
iajs-2676	213	116	ƀ	ƀ	X
iajs-2676	213	117	=	=	SYM
iajs-2676	213	118	{	{	PUNCT
iajs-2676	213	119	{	{	PUNCT
iajs-2676	213	120	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	213	121	)	)	PUNCT
iajs-2676	213	122	,	,	PUNCT
iajs-2676	213	123	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	213	124	)	)	PUNCT
iajs-2676	213	125	}	}	PUNCT
iajs-2676	213	126	,	,	PUNCT
iajs-2676	213	127	{	{	PUNCT
iajs-2676	213	128	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	213	129	)	)	PUNCT
iajs-2676	213	130	,	,	PUNCT
iajs-2676	213	131	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	213	132	)	)	PUNCT
iajs-2676	213	133	}	}	PUNCT
iajs-2676	213	134	,	,	PUNCT
iajs-2676	213	135	…	…	PUNCT
iajs-2676	213	136	,	,	PUNCT
iajs-2676	213	137	{	{	PUNCT
iajs-2676	213	138	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	213	139	)	)	PUNCT
iajs-2676	213	140	,	,	PUNCT
iajs-2676	213	141	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	213	142	)	)	PUNCT
iajs-2676	213	143	}	}	PUNCT
iajs-2676	213	144	.	.	PUNCT
iajs-2676	213	145	.	.	PUNCT
iajs-2676	213	146	.	.	PUNCT
iajs-2676	214	1	}	}	PUNCT
iajs-2676	214	2	is	be	AUX
iajs-2676	214	3	winning	win	VERB
iajs-2676	214	4	strategy	strategy	NOUN
iajs-2676	214	5	for	for	ADP
iajs-2676	214	6	ҏ2	ҏ2	NOUN
iajs-2676	214	7	in	in	ADP
iajs-2676	214	8	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	214	9	,	,	PUNCT
iajs-2676	214	10	ẛ	ẛ	NOUN
iajs-2676	214	11	)	)	PUNCT
iajs-2676	214	12	)	)	PUNCT
iajs-2676	214	13	.	.	PUNCT
iajs-2676	215	1	by	by	ADP
iajs-2676	215	2	the	the	DET
iajs-2676	215	3	same	same	ADJ
iajs-2676	215	4	way	way	NOUN
iajs-2676	215	5	we	we	PRON
iajs-2676	215	6	can	can	AUX
iajs-2676	215	7	prove	prove	VERB
iajs-2676	215	8	ҏ2	ҏ2	NOUN
iajs-2676	215	9	↪	↪	PROPN
iajs-2676	215	10	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	215	11	,	,	PUNCT
iajs-2676	215	12	ẛ).but	ẛ).but	PROPN
iajs-2676	215	13	ᶂ−1(џṃ	ᶂ−1(џṃ	PROPN
iajs-2676	215	14	)	)	PUNCT
iajs-2676	215	15	∩	∩	ADJ
iajs-2676	215	16	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	215	17	)	)	PUNCT
iajs-2676	215	18	=	=	NOUN
iajs-2676	215	19	∅	∅	NOUN
iajs-2676	215	20	,	,	PUNCT
iajs-2676	215	21	thus	thus	ADV
iajs-2676	215	22	ƀ	ƀ	X
iajs-2676	215	23	=	=	SYM
iajs-2676	215	24	{	{	PUNCT
iajs-2676	215	25	{	{	PUNCT
iajs-2676	215	26	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	215	27	)	)	PUNCT
iajs-2676	215	28	,	,	PUNCT
iajs-2676	215	29	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	215	30	)	)	PUNCT
iajs-2676	215	31	}	}	PUNCT
iajs-2676	215	32	,	,	PUNCT
iajs-2676	215	33	{	{	PUNCT
iajs-2676	215	34	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	215	35	)	)	PUNCT
iajs-2676	215	36	,	,	PUNCT
iajs-2676	215	37	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	215	38	)	)	PUNCT
iajs-2676	215	39	}	}	PUNCT
iajs-2676	215	40	,	,	PUNCT
iajs-2676	215	41	…	…	PUNCT
iajs-2676	215	42	,	,	PUNCT
iajs-2676	215	43	{	{	PUNCT
iajs-2676	215	44	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	215	45	)	)	PUNCT
iajs-2676	215	46	,	,	PUNCT
iajs-2676	215	47	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	215	48	)	)	PUNCT
iajs-2676	215	49	}	}	PUNCT
iajs-2676	215	50	.	.	PUNCT
iajs-2676	215	51	.	.	PUNCT
iajs-2676	215	52	.	.	PUNCT
iajs-2676	216	1	}	}	PUNCT
iajs-2676	216	2	is	be	AUX
iajs-2676	216	3	winning	win	VERB
iajs-2676	216	4	strategy	strategy	NOUN
iajs-2676	216	5	for	for	ADP
iajs-2676	216	6	ҏ2	ҏ2	NOUN
iajs-2676	216	7	in	in	ADP
iajs-2676	216	8	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	216	9	,	,	PUNCT
iajs-2676	216	10	ẛ	ẛ	NOUN
iajs-2676	216	11	)	)	PUNCT
iajs-2676	216	12	)	)	PUNCT
iajs-2676	216	13	.	.	PUNCT
iajs-2676	217	1	proposition	proposition	NOUN
iajs-2676	217	2	4.7	4.7	NUM
iajs-2676	217	3	.	.	PUNCT
iajs-2676	218	1	if	if	SCONJ
iajs-2676	218	2	the	the	DET
iajs-2676	218	3	function	function	NOUN
iajs-2676	218	4	ᶂ	ᶂ	PROPN
iajs-2676	218	5	∶	∶	NOUN
iajs-2676	218	6	(	(	PUNCT
iajs-2676	218	7	ҳ	ҳ	NOUN
iajs-2676	218	8	,	,	PUNCT
iajs-2676	218	9	ṭ	ṭ	NOUN
iajs-2676	218	10	,	,	PUNCT
iajs-2676	218	11	ẛ	ẛ	NOUN
iajs-2676	218	12	)	)	PUNCT
iajs-2676	218	13			PUNCT
iajs-2676	218	14	(	(	PUNCT
iajs-2676	218	15	ὑ	ὑ	INTJ
iajs-2676	218	16	,	,	PUNCT
iajs-2676	218	17	ԏ	ԏ	PROPN
iajs-2676	218	18	,	,	PUNCT
iajs-2676	218	19	ɉ	ɉ	NOUN
iajs-2676	218	20	)	)	PUNCT
iajs-2676	218	21	is	be	AUX
iajs-2676	218	22	an	an	DET
iajs-2676	218	23	injective	injective	ADJ
iajs-2676	218	24	strongly‐	strongly‐	NOUN
iajs-2676	218	25	ẛpg‐	ẛpg‐	NOUN
iajs-2676	218	26	continuous	continuous	ADJ
iajs-2676	218	27	and	and	CCONJ
iajs-2676	218	28	(	(	PUNCT
iajs-2676	218	29	ҏ2	ҏ2	PROPN
iajs-2676	218	30	↪	↪	PROPN
iajs-2676	218	31	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	218	32	,	,	PUNCT
iajs-2676	218	33	ɉ	ɉ	NOUN
iajs-2676	218	34	)	)	PUNCT
iajs-2676	218	35	)	)	PUNCT
iajs-2676	219	1	then	then	ADV
iajs-2676	219	2	(	(	PUNCT
iajs-2676	219	3	ҏ2	ҏ2	PROPN
iajs-2676	219	4	↪	↪	PROPN
iajs-2676	219	5	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	219	6	,	,	PUNCT
iajs-2676	219	7	ҳ	ҳ	NOUN
iajs-2676	219	8	)	)	PUNCT
iajs-2676	219	9	)	)	PUNCT
iajs-2676	219	10	where	where	SCONJ
iajs-2676	219	11	(	(	PUNCT
iajs-2676	219	12	i=0,1and	i=0,1and	NOUN
iajs-2676	219	13	2	2	NUM
iajs-2676	219	14	respectively	respectively	ADV
iajs-2676	219	15	)	)	PUNCT
iajs-2676	219	16	.	.	PUNCT
iajs-2676	220	1	proof(1	proof(1	NOUN
iajs-2676	220	2	)	)	PUNCT
iajs-2676	220	3	.	.	PUNCT
iajs-2676	221	1	in	in	ADP
iajs-2676	221	2	the	the	DET
iajs-2676	221	3	game	game	NOUN
iajs-2676	221	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	221	5	,	,	PUNCT
iajs-2676	221	6	ҳ	ҳ	NOUN
iajs-2676	221	7	)	)	PUNCT
iajs-2676	221	8	where	where	SCONJ
iajs-2676	221	9	(	(	PUNCT
iajs-2676	221	10	i	i	NOUN
iajs-2676	221	11	=	=	NOUN
iajs-2676	221	12	0	0	NUM
iajs-2676	221	13	)	)	PUNCT
iajs-2676	221	14	,	,	PUNCT
iajs-2676	221	15	in	in	ADP
iajs-2676	221	16	the	the	DET
iajs-2676	221	17	first	first	ADJ
iajs-2676	221	18	round	round	NOUN
iajs-2676	221	19	,	,	PUNCT
iajs-2676	221	20	ҏ1	ҏ1	X
iajs-2676	221	21	will	will	AUX
iajs-2676	221	22	choose	choose	VERB
iajs-2676	221	23	ӿ1	ӿ1	NOUN
iajs-2676	221	24	≠	≠	PROPN
iajs-2676	221	25	r1	r1	NOUN
iajs-2676	221	26	such	such	ADJ
iajs-2676	221	27	that	that	DET
iajs-2676	221	28	ӿ1	ӿ1	NOUN
iajs-2676	221	29	,	,	PUNCT
iajs-2676	221	30	r1	r1	PROPN
iajs-2676	221	31	∈	∈	PROPN
iajs-2676	221	32	ҳ.	ҳ.	ADV
iajs-2676	221	33	next	next	ADV
iajs-2676	221	34	,	,	PUNCT
iajs-2676	221	35	ҏ2	ҏ2	VERB
iajs-2676	221	36	in	in	ADP
iajs-2676	221	37	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	221	38	,	,	PUNCT
iajs-2676	221	39	ҳ	ҳ	NOUN
iajs-2676	221	40	)	)	PUNCT
iajs-2676	221	41	)	)	PUNCT
iajs-2676	221	42	will	will	AUX
iajs-2676	221	43	hold	hold	VERB
iajs-2676	221	44	account	account	NOUN
iajs-2676	221	45	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	221	46	)	)	PUNCT
iajs-2676	221	47	,	,	PUNCT
iajs-2676	221	48	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	221	49	)	)	PUNCT
iajs-2676	221	50	∈	∈	PROPN
iajs-2676	221	51	ὑ	ὑ	NOUN
iajs-2676	221	52	,	,	PUNCT
iajs-2676	221	53	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	221	54	)	)	PUNCT
iajs-2676	221	55	≠	≠	PROPN
iajs-2676	221	56	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	221	57	)	)	PUNCT
iajs-2676	221	58	,	,	PUNCT
iajs-2676	221	59	but	but	CCONJ
iajs-2676	221	60	(	(	PUNCT
iajs-2676	221	61	ҏ2	ҏ2	NOUN
iajs-2676	221	62	↪	↪	PROPN
iajs-2676	221	63	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	221	64	,	,	PUNCT
iajs-2676	221	65	ɉ	ɉ	NOUN
iajs-2676	221	66	)	)	PUNCT
iajs-2676	221	67	,	,	PUNCT
iajs-2676	221	68	so	so	ADV
iajs-2676	221	69	∃ṿ1	∃ṿ1	PROPN
iajs-2676	221	70	∈	∈	PROPN
iajs-2676	221	71	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	221	72	)	)	PUNCT
iajs-2676	221	73	)	)	PUNCT
iajs-2676	221	74	,	,	PUNCT
iajs-2676	221	75	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	221	76	)	)	PUNCT
iajs-2676	221	77	∈	∈	PROPN
iajs-2676	221	78	ṿ1	ṿ1	NOUN
iajs-2676	221	79	and	and	CCONJ
iajs-2676	221	80	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	221	81	)	)	PUNCT
iajs-2676	221	82	∉	∉	PROPN
iajs-2676	221	83	ṿ1	ṿ1	NOUN
iajs-2676	221	84	but	but	CCONJ
iajs-2676	221	85	ᶂ	ᶂ	NOUN
iajs-2676	221	86	is	be	AUX
iajs-2676	221	87	strongly‐	strongly‐	ADJ
iajs-2676	221	88	ẛpg‐	ẛpg‐	X
iajs-2676	221	89	continuous	continuous	ADJ
iajs-2676	221	90	then	then	ADV
iajs-2676	221	91	,	,	PUNCT
iajs-2676	221	92	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	222	1	)	)	PUNCT
iajs-2676	222	2	∈	∈	PROPN
iajs-2676	223	1	ṭ	ṭ	ADP
iajs-2676	223	2	this	this	PRON
iajs-2676	223	3	implies	imply	VERB
iajs-2676	223	4	ҏ2	ҏ2	VERB
iajs-2676	223	5	in	in	ADP
iajs-2676	223	6	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	7	,	,	PUNCT
iajs-2676	223	8	ҳ	ҳ	X
iajs-2676	223	9	)	)	PUNCT
iajs-2676	223	10	choose	choose	VERB
iajs-2676	223	11	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	223	12	)	)	PUNCT
iajs-2676	223	13	,	,	PUNCT
iajs-2676	223	14	in	in	ADP
iajs-2676	223	15	the	the	DET
iajs-2676	223	16	second	second	ADJ
iajs-2676	223	17	round	round	NOUN
iajs-2676	223	18	,	,	PUNCT
iajs-2676	223	19	ҏ1	ҏ1	ADJ
iajs-2676	223	20	in	in	ADP
iajs-2676	223	21	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	22	,	,	PUNCT
iajs-2676	223	23	ҳ	ҳ	NOUN
iajs-2676	223	24	)	)	PUNCT
iajs-2676	223	25	choose	choose	VERB
iajs-2676	223	26	ӿ2	ӿ2	PROPN
iajs-2676	223	27	≠	≠	PROPN
iajs-2676	223	28	r2	r2	NOUN
iajs-2676	223	29	such	such	ADJ
iajs-2676	223	30	that	that	SCONJ
iajs-2676	223	31	ӿ2	ӿ2	PROPN
iajs-2676	223	32	,	,	PUNCT
iajs-2676	223	33	r2	r2	PROPN
iajs-2676	223	34	∈	∈	PROPN
iajs-2676	223	35	ҳ.	ҳ.	ADV
iajs-2676	223	36	next	next	ADV
iajs-2676	223	37	,	,	PUNCT
iajs-2676	223	38	ҏ2	ҏ2	VERB
iajs-2676	223	39	in	in	ADP
iajs-2676	223	40	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	41	,	,	PUNCT
iajs-2676	223	42	ҳ	ҳ	NOUN
iajs-2676	223	43	)	)	PUNCT
iajs-2676	223	44	will	will	AUX
iajs-2676	223	45	hold	hold	VERB
iajs-2676	223	46	account	account	NOUN
iajs-2676	223	47	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	223	48	)	)	PUNCT
iajs-2676	223	49	,	,	PUNCT
iajs-2676	223	50	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	223	51	)	)	PUNCT
iajs-2676	223	52	∈	∈	PROPN
iajs-2676	223	53	ὑ	ὑ	NOUN
iajs-2676	223	54	,	,	PUNCT
iajs-2676	223	55	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	223	56	)	)	PUNCT
iajs-2676	223	57	≠	≠	PROPN
iajs-2676	223	58	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	223	59	)	)	PUNCT
iajs-2676	223	60	,	,	PUNCT
iajs-2676	223	61	but	but	CCONJ
iajs-2676	223	62	(	(	PUNCT
iajs-2676	223	63	ҏ2	ҏ2	NOUN
iajs-2676	223	64	↪	↪	PROPN
iajs-2676	223	65	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	223	66	,	,	PUNCT
iajs-2676	223	67	ɉ	ɉ	NOUN
iajs-2676	223	68	)	)	PUNCT
iajs-2676	223	69	,	,	PUNCT
iajs-2676	223	70	∃ṿ2	∃ṿ2	PROPN
iajs-2676	223	71	∈	∈	PROPN
iajs-2676	223	72	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	223	73	)	)	PUNCT
iajs-2676	223	74	)	)	PUNCT
iajs-2676	223	75	,	,	PUNCT
iajs-2676	223	76	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	223	77	)	)	PUNCT
iajs-2676	223	78	∈	∈	PROPN
iajs-2676	223	79	ṿ2	ṿ2	NOUN
iajs-2676	223	80	and	and	CCONJ
iajs-2676	223	81	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	223	82	)	)	PUNCT
iajs-2676	223	83	∉	∉	PROPN
iajs-2676	223	84	ṿ2	ṿ2	PROPN
iajs-2676	223	85	,	,	PUNCT
iajs-2676	223	86	this	this	PRON
iajs-2676	223	87	implies	imply	VERB
iajs-2676	223	88	ҏ2	ҏ2	VERB
iajs-2676	223	89	in	in	ADP
iajs-2676	223	90	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	91	,	,	PUNCT
iajs-2676	223	92	ҳ	ҳ	NOUN
iajs-2676	223	93	)	)	PUNCT
iajs-2676	223	94	choose	choose	VERB
iajs-2676	223	95	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	223	96	)	)	PUNCT
iajs-2676	223	97	and	and	CCONJ
iajs-2676	223	98	in	in	ADP
iajs-2676	223	99	ṃ	ṃ	NOUN
iajs-2676	223	100	‐	‐	NOUN
iajs-2676	223	101	th	th	X
iajs-2676	223	102	round	round	NOUN
iajs-2676	223	103	,	,	PUNCT
iajs-2676	223	104	ҏ1	ҏ1	ADJ
iajs-2676	223	105	in	in	ADP
iajs-2676	223	106	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	107	,	,	PUNCT
iajs-2676	223	108	ҳ	ҳ	X
iajs-2676	223	109	)	)	PUNCT
iajs-2676	223	110	choose	choose	VERB
iajs-2676	223	111	ӿṃ	ӿṃ	PRON
iajs-2676	223	112	≠	≠	PROPN
iajs-2676	223	113	rṃ	rṃ	ADP
iajs-2676	223	114	,	,	PUNCT
iajs-2676	223	115	ӿṃ	ӿṃ	PROPN
iajs-2676	223	116	,	,	PUNCT
iajs-2676	223	117	rṃ	rṃ	ADP
iajs-2676	223	118	∈	∈	PROPN
iajs-2676	223	119	ҳ.	ҳ.	ADV
iajs-2676	223	120	next	next	ADV
iajs-2676	223	121	,	,	PUNCT
iajs-2676	223	122	ҏ2	ҏ2	VERB
iajs-2676	223	123	in	in	ADP
iajs-2676	223	124	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	223	125	,	,	PUNCT
iajs-2676	223	126	ҳ	ҳ	NOUN
iajs-2676	223	127	)	)	PUNCT
iajs-2676	223	128	will	will	AUX
iajs-2676	223	129	hold	hold	VERB
iajs-2676	223	130	account	account	NOUN
iajs-2676	223	131	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	223	132	)	)	PUNCT
iajs-2676	223	133	,	,	PUNCT
iajs-2676	223	134	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	223	135	)	)	PUNCT
iajs-2676	223	136	∈	∈	PROPN
iajs-2676	224	1	ὑ	ὑ	PROPN
iajs-2676	224	2	,	,	PUNCT
iajs-2676	224	3	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	224	4	)	)	PUNCT
iajs-2676	224	5	≠	≠	PROPN
iajs-2676	224	6	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	224	7	)	)	PUNCT
iajs-2676	224	8	,	,	PUNCT
iajs-2676	224	9	but	but	CCONJ
iajs-2676	224	10	(	(	PUNCT
iajs-2676	224	11	ҏ2	ҏ2	NOUN
iajs-2676	224	12	↪	↪	PROPN
iajs-2676	224	13	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	224	14	,	,	PUNCT
iajs-2676	224	15	ɉ	ɉ	NOUN
iajs-2676	224	16	)	)	PUNCT
iajs-2676	224	17	,	,	PUNCT
iajs-2676	224	18	∃ṿṃ	∃ṿṃ	NOUN
iajs-2676	224	19	∈	∈	PROPN
iajs-2676	224	20	ɉpgo(ὑ	ɉpgo(ὑ	PROPN
iajs-2676	224	21	)	)	PUNCT
iajs-2676	224	22	,	,	PUNCT
iajs-2676	224	23	ᶂ(ӿṃ	ᶂ(ӿṃ	NUM
iajs-2676	224	24	)	)	PUNCT
iajs-2676	224	25	∈	∈	PROPN
iajs-2676	224	26	ṿṃ	ṿṃ	NOUN
iajs-2676	224	27	and	and	CCONJ
iajs-2676	224	28	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	224	29	)	)	PUNCT
iajs-2676	224	30	∉	∉	PROPN
iajs-2676	224	31	ṿṃ	ṿṃ	PROPN
iajs-2676	224	32	,	,	PUNCT
iajs-2676	224	33	this	this	PRON
iajs-2676	224	34	implies	imply	VERB
iajs-2676	224	35	ҏ2	ҏ2	VERB
iajs-2676	224	36	in	in	ADP
iajs-2676	224	37	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	224	38	,	,	PUNCT
iajs-2676	224	39	ҳ	ҳ	NOUN
iajs-2676	224	40	)	)	PUNCT
iajs-2676	224	41	choose	choose	VERB
iajs-2676	224	42	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	224	43	)	)	PUNCT
iajs-2676	224	44	∈	∈	PROPN
iajs-2676	224	45	ṭ	ṭ	NOUN
iajs-2676	224	46	,	,	PUNCT
iajs-2676	224	47	thus	thus	ADV
iajs-2676	224	48	ƀ	ƀ	X
iajs-2676	224	49	=	=	SYM
iajs-2676	224	50	{	{	PUNCT
iajs-2676	224	51	ᶂ−1	ᶂ−1	PROPN
iajs-2676	224	52	{	{	PUNCT
iajs-2676	224	53	ṿ1	ṿ1	NOUN
iajs-2676	224	54	}	}	PUNCT
iajs-2676	224	55	,	,	PUNCT
iajs-2676	224	56	ᶂ−1{ṿ2	ᶂ−1{ṿ2	PROPN
iajs-2676	224	57	}	}	PUNCT
iajs-2676	224	58	…	…	PUNCT
iajs-2676	224	59	,	,	PUNCT
iajs-2676	224	60	ᶂ−1{ṿṃ	ᶂ−1{ṿṃ	NOUN
iajs-2676	224	61	}	}	PUNCT
iajs-2676	224	62	.	.	PUNCT
iajs-2676	224	63	.	.	PUNCT
iajs-2676	225	1	}	}	PUNCT
iajs-2676	225	2	is	be	AUX
iajs-2676	225	3	winning	win	VERB
iajs-2676	225	4	strategy	strategy	NOUN
iajs-2676	225	5	for	for	ADP
iajs-2676	225	6	ҏ2	ҏ2	NOUN
iajs-2676	225	7	in	in	ADP
iajs-2676	225	8	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	225	9	,	,	PUNCT
iajs-2676	225	10	ҳ	ҳ	NOUN
iajs-2676	225	11	)	)	PUNCT
iajs-2676	225	12	.	.	PUNCT
iajs-2676	226	1	(	(	PUNCT
iajs-2676	226	2	2	2	NUM
iajs-2676	226	3	)	)	PUNCT
iajs-2676	226	4	.	.	PUNCT
iajs-2676	227	1	in	in	ADP
iajs-2676	227	2	the	the	DET
iajs-2676	227	3	game	game	NOUN
iajs-2676	227	4	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	227	5	,	,	PUNCT
iajs-2676	227	6	ҳ	ҳ	NOUN
iajs-2676	227	7	)	)	PUNCT
iajs-2676	227	8	,	,	PUNCT
iajs-2676	227	9	where	where	SCONJ
iajs-2676	227	10	(	(	PUNCT
iajs-2676	227	11	i	i	NOUN
iajs-2676	227	12	=	=	NOUN
iajs-2676	227	13	1	1	NUM
iajs-2676	227	14	)	)	PUNCT
iajs-2676	227	15	,	,	PUNCT
iajs-2676	227	16	in	in	ADP
iajs-2676	227	17	the	the	DET
iajs-2676	227	18	ṃ‐	ṃ‐	PROPN
iajs-2676	227	19	th	th	X
iajs-2676	227	20	round	round	NOUN
iajs-2676	227	21	ҏ1	ҏ1	ADJ
iajs-2676	227	22	in	in	ADP
iajs-2676	227	23	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	227	24	,	,	PUNCT
iajs-2676	227	25	ҳ	ҳ	X
iajs-2676	227	26	)	)	PUNCT
iajs-2676	227	27	choose	choose	VERB
iajs-2676	227	28	ӿṃ	ӿṃ	PRON
iajs-2676	227	29	≠	≠	PROPN
iajs-2676	227	30	rṃ	rṃ	ADP
iajs-2676	227	31	such	such	DET
iajs-2676	227	32	that	that	DET
iajs-2676	227	33	ӿṃ	ӿṃ	NOUN
iajs-2676	227	34	,	,	PUNCT
iajs-2676	227	35	rṃ	rṃ	ADP
iajs-2676	227	36	∈	∈	PROPN
iajs-2676	227	37	ҳ	ҳ	PROPN
iajs-2676	227	38	,	,	PUNCT
iajs-2676	227	39	ҏ2	ҏ2	NOUN
iajs-2676	227	40	in	in	ADP
iajs-2676	227	41	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	227	42	,	,	PUNCT
iajs-2676	227	43	ҳ	ҳ	NOUN
iajs-2676	227	44	)	)	PUNCT
iajs-2676	227	45	will	will	AUX
iajs-2676	227	46	hold	hold	VERB
iajs-2676	227	47	account	account	NOUN
iajs-2676	227	48	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	227	49	)	)	PUNCT
iajs-2676	227	50	,	,	PUNCT
iajs-2676	227	51	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	227	52	)	)	PUNCT
iajs-2676	227	53	∈	∈	PROPN
iajs-2676	228	1	ὑ	ὑ	PROPN
iajs-2676	228	2	,	,	PUNCT
iajs-2676	228	3	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	228	4	)	)	PUNCT
iajs-2676	228	5	≠	≠	PROPN
iajs-2676	228	6	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	228	7	)	)	PUNCT
iajs-2676	228	8	,	,	PUNCT
iajs-2676	228	9	but	but	CCONJ
iajs-2676	228	10	(	(	PUNCT
iajs-2676	228	11	ҏ2	ҏ2	NOUN
iajs-2676	228	12	↪	↪	PROPN
iajs-2676	228	13	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	228	14	,	,	PUNCT
iajs-2676	228	15	ɉ	ɉ	NOUN
iajs-2676	228	16	)	)	PUNCT
iajs-2676	228	17	,	,	PUNCT
iajs-2676	228	18	∃џṃ	∃џṃ	VERB
iajs-2676	228	19	,	,	PUNCT
iajs-2676	228	20	ṿṃ	ṿṃ	PROPN
iajs-2676	228	21	∈	∈	PROPN
iajs-2676	228	22	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	228	23	)	)	PUNCT
iajs-2676	228	24	,	,	PUNCT
iajs-2676	228	25	ᶂ(ӿṃ	ᶂ(ӿṃ	NUM
iajs-2676	228	26	)	)	PUNCT
iajs-2676	228	27	∈	∈	PROPN
iajs-2676	228	28	(	(	PUNCT
iajs-2676	228	29	џṃ‐	џṃ‐	NOUN
iajs-2676	228	30	ṿṃ	ṿṃ	PROPN
iajs-2676	228	31	)	)	PUNCT
iajs-2676	228	32	and	and	CCONJ
iajs-2676	228	33	ᶂ(rṃ	ᶂ(rṃ	NUM
iajs-2676	228	34	)	)	PUNCT
iajs-2676	228	35	∈	∈	NOUN
iajs-2676	228	36	(	(	PUNCT
iajs-2676	228	37	ṿṃ	ṿṃ	PROPN
iajs-2676	228	38	‐	‐	PROPN
iajs-2676	228	39	џṃ	џṃ	NOUN
iajs-2676	228	40	)	)	PUNCT
iajs-2676	228	41	,	,	PUNCT
iajs-2676	228	42	this	this	PRON
iajs-2676	228	43	implies	imply	VERB
iajs-2676	228	44	ҏ2	ҏ2	NOUN
iajs-2676	228	45	in	in	ADP
iajs-2676	228	46	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	228	47	,	,	PUNCT
iajs-2676	228	48	ҳ	ҳ	X
iajs-2676	228	49	)	)	PUNCT
iajs-2676	228	50	choose	choose	VERB
iajs-2676	228	51	ᶂ−1(џṃ	ᶂ−1(џṃ	PROPN
iajs-2676	228	52	)	)	PUNCT
iajs-2676	228	53	,	,	PUNCT
iajs-2676	228	54	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	228	55	)	)	PUNCT
iajs-2676	228	56	∈	∈	PROPN
iajs-2676	228	57	ṭ	ṭ	NOUN
iajs-2676	228	58	.	.	PUNCT
iajs-2676	229	1	thus	thus	ADV
iajs-2676	229	2	ƀ	ƀ	X
iajs-2676	229	3	=	=	SYM
iajs-2676	229	4	{	{	PUNCT
iajs-2676	229	5	{	{	PUNCT
iajs-2676	229	6	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	229	7	)	)	PUNCT
iajs-2676	229	8	,	,	PUNCT
iajs-2676	229	9	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	229	10	)	)	PUNCT
iajs-2676	229	11	}	}	PUNCT
iajs-2676	229	12	,	,	PUNCT
iajs-2676	229	13	{	{	PUNCT
iajs-2676	229	14	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	229	15	)	)	PUNCT
iajs-2676	229	16	,	,	PUNCT
iajs-2676	229	17	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	229	18	)	)	PUNCT
iajs-2676	229	19	}	}	PUNCT
iajs-2676	229	20	,	,	PUNCT
iajs-2676	229	21	…	…	PUNCT
iajs-2676	229	22	,	,	PUNCT
iajs-2676	229	23	{	{	PUNCT
iajs-2676	229	24	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	229	25	)	)	PUNCT
iajs-2676	229	26	,	,	PUNCT
iajs-2676	229	27	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	229	28	)	)	PUNCT
iajs-2676	229	29	}	}	PUNCT
iajs-2676	229	30	.	.	PUNCT
iajs-2676	229	31	.	.	PUNCT
iajs-2676	229	32	.	.	PUNCT
iajs-2676	230	1	}	}	PUNCT
iajs-2676	230	2	is	be	AUX
iajs-2676	230	3	winning	win	VERB
iajs-2676	230	4	strategy	strategy	NOUN
iajs-2676	230	5	for	for	ADP
iajs-2676	230	6	ҏ2	ҏ2	NOUN
iajs-2676	230	7	in	in	ADP
iajs-2676	230	8	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	230	9	,	,	PUNCT
iajs-2676	230	10	ҳ	ҳ	NOUN
iajs-2676	230	11	)	)	PUNCT
iajs-2676	230	12	.	.	PUNCT
iajs-2676	231	1	in	in	ADP
iajs-2676	231	2	the	the	DET
iajs-2676	231	3	same	same	ADJ
iajs-2676	231	4	way	way	NOUN
iajs-2676	231	5	,	,	PUNCT
iajs-2676	231	6	we	we	PRON
iajs-2676	231	7	can	can	AUX
iajs-2676	231	8	prove	prove	VERB
iajs-2676	231	9	ҏ2	ҏ2	NOUN
iajs-2676	231	10	↪	↪	PROPN
iajs-2676	231	11	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	231	12	,	,	PUNCT
iajs-2676	231	13	ҳ	ҳ	NOUN
iajs-2676	231	14	)	)	PUNCT
iajs-2676	231	15	,	,	PUNCT
iajs-2676	231	16	but	but	CCONJ
iajs-2676	231	17	ᶂ−1(џṃ	ᶂ−1(џṃ	X
iajs-2676	231	18	)	)	PUNCT
iajs-2676	231	19	∩	∩	ADJ
iajs-2676	231	20	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	231	21	)	)	PUNCT
iajs-2676	231	22	=	=	PUNCT
iajs-2676	231	23	∅.	∅.	VERB
iajs-2676	231	24	thus	thus	ADV
iajs-2676	231	25	ƀ	ƀ	X
iajs-2676	231	26	=	=	SYM
iajs-2676	231	27	{	{	PUNCT
iajs-2676	231	28	{	{	PUNCT
iajs-2676	231	29	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	231	30	)	)	PUNCT
iajs-2676	231	31	,	,	PUNCT
iajs-2676	231	32	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	231	33	)	)	PUNCT
iajs-2676	231	34	}	}	PUNCT
iajs-2676	231	35	,	,	PUNCT
iajs-2676	231	36	{	{	PUNCT
iajs-2676	231	37	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	231	38	)	)	PUNCT
iajs-2676	231	39	,	,	PUNCT
iajs-2676	231	40	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	231	41	)	)	PUNCT
iajs-2676	231	42	}	}	PUNCT
iajs-2676	231	43	,	,	PUNCT
iajs-2676	231	44	…	…	PUNCT
iajs-2676	231	45	,	,	PUNCT
iajs-2676	231	46	{	{	PUNCT
iajs-2676	231	47	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	231	48	)	)	PUNCT
iajs-2676	231	49	,	,	PUNCT
iajs-2676	231	50	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	231	51	)	)	PUNCT
iajs-2676	231	52	}	}	PUNCT
iajs-2676	231	53	.	.	PUNCT
iajs-2676	231	54	.	.	PUNCT
iajs-2676	231	55	.	.	PUNCT
iajs-2676	232	1	}	}	PUNCT
iajs-2676	232	2	is	be	AUX
iajs-2676	232	3	winning	win	VERB
iajs-2676	232	4	strategy	strategy	NOUN
iajs-2676	232	5	for	for	ADP
iajs-2676	232	6	ҏ2	ҏ2	NOUN
iajs-2676	232	7	in	in	ADP
iajs-2676	232	8	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	232	9	,	,	PUNCT
iajs-2676	232	10	ẛ	ẛ	NOUN
iajs-2676	232	11	)	)	PUNCT
iajs-2676	232	12	)	)	PUNCT
iajs-2676	232	13	.	.	PUNCT
iajs-2676	233	1	ibn	ibn	PROPN
iajs-2676	233	2	al	al	PROPN
iajs-2676	233	3	-	-	PUNCT
iajs-2676	233	4	haitham	haitham	PROPN
iajs-2676	233	5	jour	jour	X
iajs-2676	233	6	.	.	PROPN
iajs-2676	233	7	for	for	ADP
iajs-2676	233	8	pure	pure	ADJ
iajs-2676	233	9	&	&	CCONJ
iajs-2676	233	10	appl	appl	PROPN
iajs-2676	233	11	.	.	PUNCT
iajs-2676	234	1	sci	sci	PROPN
iajs-2676	234	2	.	.	PROPN
iajs-2676	235	1	34(3)2021	34(3)2021	NUM
iajs-2676	235	2	48	48	NUM
iajs-2676	235	3	corollary	corollary	NOUN
iajs-2676	235	4	4.8	4.8	NUM
iajs-2676	235	5	.	.	PUNCT
iajs-2676	236	1	let	let	VERB
iajs-2676	236	2	ᶂ	ᶂ	PRON
iajs-2676	236	3	∶	∶	NOUN
iajs-2676	236	4	(	(	PUNCT
iajs-2676	236	5	ҳ	ҳ	NOUN
iajs-2676	236	6	,	,	PUNCT
iajs-2676	236	7	ṭ	ṭ	NOUN
iajs-2676	236	8	,	,	PUNCT
iajs-2676	236	9	ẛ	ẛ	NOUN
iajs-2676	236	10	)	)	PUNCT
iajs-2676	236	11			PUNCT
iajs-2676	236	12	(	(	PUNCT
iajs-2676	236	13	ὑ	ὑ	INTJ
iajs-2676	236	14	,	,	PUNCT
iajs-2676	236	15	ԏ	ԏ	PROPN
iajs-2676	236	16	,	,	PUNCT
iajs-2676	236	17	ɉ	ɉ	NOUN
iajs-2676	236	18	)	)	PUNCT
iajs-2676	236	19	is	be	AUX
iajs-2676	236	20	injective	injective	ADJ
iajs-2676	236	21	strongly‐ẛpg‐continuous	strongly‐ẛpg‐continuous	ADJ
iajs-2676	236	22	function	function	NOUN
iajs-2676	236	23	and	and	CCONJ
iajs-2676	236	24	(	(	PUNCT
iajs-2676	236	25	ҏ2	ҏ2	PROPN
iajs-2676	236	26	↪	↪	PROPN
iajs-2676	236	27	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	236	28	,	,	PUNCT
iajs-2676	236	29	ɉ	ɉ	NOUN
iajs-2676	236	30	)	)	PUNCT
iajs-2676	236	31	,	,	PUNCT
iajs-2676	236	32	then(ҏ2	then(ҏ2	X
iajs-2676	236	33	↪	↪	PROPN
iajs-2676	236	34	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	236	35	,	,	PUNCT
iajs-2676	236	36	ẛ	ẛ	NOUN
iajs-2676	236	37	)	)	PUNCT
iajs-2676	236	38	,	,	PUNCT
iajs-2676	236	39	where	where	SCONJ
iajs-2676	236	40	(	(	PUNCT
iajs-2676	236	41	i	i	NOUN
iajs-2676	236	42	=	=	SYM
iajs-2676	236	43	0,1and2	0,1and2	NOUN
iajs-2676	236	44	respectively	respectively	ADV
iajs-2676	236	45	)	)	PUNCT
iajs-2676	236	46	.	.	PUNCT
iajs-2676	237	1	proposition	proposition	NOUN
iajs-2676	237	2	4.9	4.9	NUM
iajs-2676	237	3	.	.	PUNCT
iajs-2676	238	1	if	if	SCONJ
iajs-2676	238	2	the	the	DET
iajs-2676	238	3	function	function	NOUN
iajs-2676	238	4	ᶂ	ᶂ	PROPN
iajs-2676	238	5	∶	∶	NOUN
iajs-2676	238	6	(	(	PUNCT
iajs-2676	238	7	ҳ	ҳ	NOUN
iajs-2676	238	8	,	,	PUNCT
iajs-2676	238	9	ṭ	ṭ	NOUN
iajs-2676	238	10	,	,	PUNCT
iajs-2676	238	11	ẛ	ẛ	NOUN
iajs-2676	238	12	)	)	PUNCT
iajs-2676	238	13			PUNCT
iajs-2676	238	14	(	(	PUNCT
iajs-2676	238	15	ὑ	ὑ	INTJ
iajs-2676	238	16	,	,	PUNCT
iajs-2676	238	17	ԏ	ԏ	PROPN
iajs-2676	238	18	,	,	PUNCT
iajs-2676	238	19	ɉ	ɉ	NOUN
iajs-2676	238	20	)	)	PUNCT
iajs-2676	238	21	is	be	AUX
iajs-2676	238	22	an	an	DET
iajs-2676	238	23	injective	injective	ADJ
iajs-2676	238	24	open	open	ADJ
iajs-2676	238	25	continuous	continuous	ADJ
iajs-2676	238	26	(	(	PUNCT
iajs-2676	238	27	respectively	respectively	ADV
iajs-2676	238	28	ẛ‐pre‐g‐irresolute	ẛ‐pre‐g‐irresolute	NOUN
iajs-2676	238	29	function	function	NOUN
iajs-2676	238	30	)	)	PUNCT
iajs-2676	238	31	and	and	CCONJ
iajs-2676	238	32	(	(	PUNCT
iajs-2676	238	33	ҏ2	ҏ2	NOUN
iajs-2676	238	34	↪	↪	PROPN
iajs-2676	238	35	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	238	36	,	,	PUNCT
iajs-2676	238	37	ὑ	ὑ	NOUN
iajs-2676	238	38	)	)	PUNCT
iajs-2676	238	39	respectively	respectively	ADV
iajs-2676	238	40	(	(	PUNCT
iajs-2676	238	41	ҏ2	ҏ2	NOUN
iajs-2676	238	42	↪	↪	PROPN
iajs-2676	238	43	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	238	44	,	,	PUNCT
iajs-2676	238	45	ɉ	ɉ	NOUN
iajs-2676	238	46	)	)	PUNCT
iajs-2676	238	47	)	)	PUNCT
iajs-2676	238	48	then	then	ADV
iajs-2676	238	49	(	(	PUNCT
iajs-2676	238	50	ҏ2	ҏ2	NOUN
iajs-2676	238	51	↪	↪	PROPN
iajs-2676	238	52	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	238	53	,	,	PUNCT
iajs-2676	238	54	ҳ	ҳ	NOUN
iajs-2676	238	55	)	)	PUNCT
iajs-2676	238	56	(	(	PUNCT
iajs-2676	238	57	respectively	respectively	ADV
iajs-2676	238	58	(	(	PUNCT
iajs-2676	238	59	ҏ2	ҏ2	NOUN
iajs-2676	238	60	↪	↪	PROPN
iajs-2676	238	61	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	238	62	,	,	PUNCT
iajs-2676	238	63	ẛ	ẛ	NOUN
iajs-2676	238	64	)	)	PUNCT
iajs-2676	238	65	)	)	PUNCT
iajs-2676	238	66	.	.	PUNCT
iajs-2676	239	1	proof(1	proof(1	NOUN
iajs-2676	239	2	):	):	PUNCT
iajs-2676	239	3	in	in	ADP
iajs-2676	239	4	the	the	DET
iajs-2676	239	5	game	game	NOUN
iajs-2676	239	6	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	7	,	,	PUNCT
iajs-2676	239	8	ҳ)(respectively	ҳ)(respectively	ADV
iajs-2676	239	9	in	in	ADP
iajs-2676	239	10	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	11	,	,	PUNCT
iajs-2676	239	12	ẛ	ẛ	NOUN
iajs-2676	239	13	)	)	PUNCT
iajs-2676	239	14	)	)	PUNCT
iajs-2676	239	15	,	,	PUNCT
iajs-2676	239	16	in	in	ADP
iajs-2676	239	17	the	the	DET
iajs-2676	239	18	first	first	ADJ
iajs-2676	239	19	round	round	NOUN
iajs-2676	239	20	,	,	PUNCT
iajs-2676	239	21	ҏ1	ҏ1	X
iajs-2676	239	22	will	will	AUX
iajs-2676	239	23	choose	choose	VERB
iajs-2676	239	24	ӿ1	ӿ1	NOUN
iajs-2676	239	25	≠	≠	PROPN
iajs-2676	239	26	r1	r1	PROPN
iajs-2676	239	27	,	,	PUNCT
iajs-2676	239	28	ӿ1	ӿ1	PROPN
iajs-2676	239	29	,	,	PUNCT
iajs-2676	239	30	r1	r1	PROPN
iajs-2676	239	31	∈	∈	PROPN
iajs-2676	239	32	ҳ	ҳ	PROPN
iajs-2676	239	33	,	,	PUNCT
iajs-2676	239	34	next	next	ADJ
iajs-2676	239	35	ҏ2	ҏ2	NOUN
iajs-2676	239	36	in	in	ADP
iajs-2676	239	37	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	38	,	,	PUNCT
iajs-2676	239	39	ҳ)(respectively	ҳ)(respectively	ADV
iajs-2676	239	40	ҏ2	ҏ2	VERB
iajs-2676	239	41	in	in	ADP
iajs-2676	239	42	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	43	,	,	PUNCT
iajs-2676	239	44	ẛ))choose	ẛ))choose	NOUN
iajs-2676	239	45	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	239	46	)	)	PUNCT
iajs-2676	239	47	,	,	PUNCT
iajs-2676	239	48	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	239	49	)	)	PUNCT
iajs-2676	239	50	∈	∈	PROPN
iajs-2676	239	51	ὑ	ὑ	NOUN
iajs-2676	239	52	,	,	PUNCT
iajs-2676	239	53	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	239	54	)	)	PUNCT
iajs-2676	239	55	≠	≠	PROPN
iajs-2676	239	56	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	239	57	)	)	PUNCT
iajs-2676	239	58	,	,	PUNCT
iajs-2676	239	59	but	but	CCONJ
iajs-2676	239	60	(	(	PUNCT
iajs-2676	239	61	ҏ2	ҏ2	NOUN
iajs-2676	239	62	↪	↪	PROPN
iajs-2676	239	63	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	64	,	,	PUNCT
iajs-2676	239	65	ὑ)(respectively(ҏ2	ὑ)(respectively(ҏ2	PROPN
iajs-2676	239	66	↪	↪	PROPN
iajs-2676	239	67	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	239	68	,	,	PUNCT
iajs-2676	239	69	ɉ	ɉ	NOUN
iajs-2676	239	70	)	)	PUNCT
iajs-2676	239	71	)	)	PUNCT
iajs-2676	239	72	,	,	PUNCT
iajs-2676	239	73	∃ṿ1	∃ṿ1	VERB
iajs-2676	239	74	ԏ	ԏ	PRON
iajs-2676	239	75	(	(	PUNCT
iajs-2676	239	76	respectively	respectively	ADV
iajs-2676	239	77	∃ṿ1	∃ṿ1	ADJ
iajs-2676	239	78	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	239	79	)	)	PUNCT
iajs-2676	239	80	)	)	PUNCT
iajs-2676	239	81	,	,	PUNCT
iajs-2676	239	82	ᶂ(ӿ1	ᶂ(ӿ1	NOUN
iajs-2676	239	83	)	)	PUNCT
iajs-2676	239	84	∈	∈	PROPN
iajs-2676	239	85	ṿ1	ṿ1	NOUN
iajs-2676	239	86	and	and	CCONJ
iajs-2676	239	87	ᶂ(r1	ᶂ(r1	NUM
iajs-2676	239	88	)	)	PUNCT
iajs-2676	239	89	∉	∉	PROPN
iajs-2676	239	90	ṿ1	ṿ1	NOUN
iajs-2676	239	91	and	and	CCONJ
iajs-2676	239	92	since	since	SCONJ
iajs-2676	239	93	ᶂ	ᶂ	NOUN
iajs-2676	239	94	is	be	AUX
iajs-2676	239	95	open	open	ADJ
iajs-2676	239	96	continuous	continuous	ADJ
iajs-2676	239	97	(	(	PUNCT
iajs-2676	239	98	respectively	respectively	ADV
iajs-2676	239	99	ẛ‐pre‐g‐irresolute	ẛ‐pre‐g‐irresolute	NOUN
iajs-2676	239	100	function)this	function)this	PROPN
iajs-2676	239	101	implies	imply	VERB
iajs-2676	239	102	ҏ2	ҏ2	VERB
iajs-2676	239	103	in	in	ADP
iajs-2676	239	104	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	105	,	,	PUNCT
iajs-2676	239	106	ҳ	ҳ	NOUN
iajs-2676	239	107	)	)	PUNCT
iajs-2676	239	108	(	(	PUNCT
iajs-2676	239	109	respectively	respectively	ADV
iajs-2676	239	110	in	in	ADP
iajs-2676	239	111	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	239	112	,	,	PUNCT
iajs-2676	239	113	ẛ	ẛ	NOUN
iajs-2676	239	114	)	)	PUNCT
iajs-2676	239	115	)	)	PUNCT
iajs-2676	239	116	choose	choose	VERB
iajs-2676	239	117	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	239	118	)	)	PUNCT
iajs-2676	239	119	,	,	PUNCT
iajs-2676	239	120	in	in	ADP
iajs-2676	239	121	the	the	DET
iajs-2676	239	122	second	second	ADJ
iajs-2676	239	123	round	round	NOUN
iajs-2676	239	124	,	,	PUNCT
iajs-2676	239	125	ҏ1	ҏ1	ADJ
iajs-2676	239	126	in	in	ADP
iajs-2676	239	127	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	239	128	,	,	PUNCT
iajs-2676	239	129	ҳ	ҳ	NOUN
iajs-2676	239	130	)	)	PUNCT
iajs-2676	239	131	(	(	PUNCT
iajs-2676	239	132	respectively	respectively	ADV
iajs-2676	239	133	in	in	ADP
iajs-2676	239	134	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	239	135	,	,	PUNCT
iajs-2676	239	136	ẛ	ẛ	NOUN
iajs-2676	239	137	)	)	PUNCT
iajs-2676	239	138	)	)	PUNCT
iajs-2676	240	1	choose	choose	VERB
iajs-2676	240	2	ӿ2	ӿ2	PROPN
iajs-2676	240	3	≠	≠	PROPN
iajs-2676	240	4	r2	r2	NOUN
iajs-2676	240	5	such	such	ADJ
iajs-2676	240	6	that	that	SCONJ
iajs-2676	240	7	ӿ2	ӿ2	PROPN
iajs-2676	240	8	,	,	PUNCT
iajs-2676	240	9	r2	r2	PROPN
iajs-2676	240	10	∈	∈	PROPN
iajs-2676	240	11	ҳ.	ҳ.	ADV
iajs-2676	240	12	next	next	ADV
iajs-2676	240	13	,	,	PUNCT
iajs-2676	240	14	ҏ2	ҏ2	VERB
iajs-2676	240	15	in	in	ADP
iajs-2676	240	16	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	240	17	,	,	PUNCT
iajs-2676	240	18	ҳ	ҳ	NOUN
iajs-2676	240	19	)	)	PUNCT
iajs-2676	240	20	(	(	PUNCT
iajs-2676	240	21	respectively	respectively	ADV
iajs-2676	240	22	ҏ2	ҏ2	NOUN
iajs-2676	240	23	in	in	ADP
iajs-2676	240	24	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	240	25	,	,	PUNCT
iajs-2676	240	26	ẛ	ẛ	NOUN
iajs-2676	240	27	)	)	PUNCT
iajs-2676	240	28	)	)	PUNCT
iajs-2676	240	29	choose	choose	VERB
iajs-2676	240	30	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	240	31	)	)	PUNCT
iajs-2676	240	32	,	,	PUNCT
iajs-2676	240	33	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	240	34	)	)	PUNCT
iajs-2676	240	35	∈	∈	PROPN
iajs-2676	240	36	ὑ	ὑ	NOUN
iajs-2676	240	37	,	,	PUNCT
iajs-2676	240	38	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	240	39	)	)	PUNCT
iajs-2676	240	40	≠	≠	PROPN
iajs-2676	240	41	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	240	42	)	)	PUNCT
iajs-2676	240	43	,	,	PUNCT
iajs-2676	240	44	but	but	CCONJ
iajs-2676	240	45	(	(	PUNCT
iajs-2676	240	46	ҏ2	ҏ2	NOUN
iajs-2676	240	47	↪	↪	PROPN
iajs-2676	240	48	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	240	49	,	,	PUNCT
iajs-2676	240	50	ὑ)(respectively(ҏ2	ὑ)(respectively(ҏ2	PROPN
iajs-2676	240	51	↪	↪	PROPN
iajs-2676	240	52	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	240	53	,	,	PUNCT
iajs-2676	240	54	ɉ	ɉ	NOUN
iajs-2676	240	55	)	)	PUNCT
iajs-2676	240	56	)	)	PUNCT
iajs-2676	240	57	,	,	PUNCT
iajs-2676	240	58	∃ṿ2	∃ṿ2	PROPN
iajs-2676	240	59	∈	∈	PROPN
iajs-2676	240	60	ԏ	ԏ	X
iajs-2676	240	61	(	(	PUNCT
iajs-2676	240	62	respectively	respectively	ADV
iajs-2676	240	63	∃ṿ2	∃ṿ2	PROPN
iajs-2676	240	64	∈	∈	PROPN
iajs-2676	240	65	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	240	66	)	)	PUNCT
iajs-2676	240	67	)	)	PUNCT
iajs-2676	240	68	,	,	PUNCT
iajs-2676	240	69	ᶂ(ӿ2	ᶂ(ӿ2	NUM
iajs-2676	240	70	)	)	PUNCT
iajs-2676	240	71	∈	∈	PROPN
iajs-2676	240	72	ṿ2	ṿ2	NOUN
iajs-2676	240	73	and	and	CCONJ
iajs-2676	240	74	ᶂ(r2	ᶂ(r2	NOUN
iajs-2676	240	75	)	)	PUNCT
iajs-2676	240	76	∉	∉	PROPN
iajs-2676	240	77	ṿ2	ṿ2	PROPN
iajs-2676	240	78	,	,	PUNCT
iajs-2676	240	79	this	this	PRON
iajs-2676	240	80	implies	imply	VERB
iajs-2676	240	81	ҏ2	ҏ2	VERB
iajs-2676	240	82	in	in	ADP
iajs-2676	240	83	ģ(ṭ0	ģ(ṭ0	PROPN
iajs-2676	240	84	,	,	PUNCT
iajs-2676	240	85	ҳ	ҳ	NOUN
iajs-2676	240	86	)	)	PUNCT
iajs-2676	240	87	(	(	PUNCT
iajs-2676	240	88	respectively	respectively	ADV
iajs-2676	240	89	ҏ2	ҏ2	NOUN
iajs-2676	240	90	in	in	ADP
iajs-2676	240	91	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	240	92	,	,	PUNCT
iajs-2676	240	93	ẛ	ẛ	NOUN
iajs-2676	240	94	)	)	PUNCT
iajs-2676	240	95	)	)	PUNCT
iajs-2676	241	1	choose	choose	VERB
iajs-2676	241	2	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	241	3	)	)	PUNCT
iajs-2676	241	4	and	and	CCONJ
iajs-2676	241	5	in	in	ADP
iajs-2676	241	6	ṃ	ṃ	ADV
iajs-2676	241	7	-	-	PUNCT
iajs-2676	241	8	th	th	VERB
iajs-2676	241	9	step	step	NOUN
iajs-2676	241	10	ҏ1	ҏ1	ADJ
iajs-2676	241	11	in	in	ADP
iajs-2676	241	12	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	241	13	,	,	PUNCT
iajs-2676	241	14	ҳ	ҳ	NOUN
iajs-2676	241	15	)	)	PUNCT
iajs-2676	241	16	(	(	PUNCT
iajs-2676	241	17	respectively	respectively	ADV
iajs-2676	241	18	in	in	ADP
iajs-2676	241	19	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	241	20	,	,	PUNCT
iajs-2676	241	21	ẛ	ẛ	NOUN
iajs-2676	241	22	)	)	PUNCT
iajs-2676	241	23	)	)	PUNCT
iajs-2676	242	1	choose	choose	VERB
iajs-2676	242	2	ӿṃ	ӿṃ	PRON
iajs-2676	242	3	≠	≠	PROPN
iajs-2676	242	4	rṃ	rṃ	ADP
iajs-2676	242	5	,	,	PUNCT
iajs-2676	242	6	ӿṃ	ӿṃ	PROPN
iajs-2676	242	7	,	,	PUNCT
iajs-2676	242	8	rṃ	rṃ	ADP
iajs-2676	242	9	∈	∈	PROPN
iajs-2676	242	10	ҳ.	ҳ.	ADV
iajs-2676	242	11	next	next	ADV
iajs-2676	242	12	,	,	PUNCT
iajs-2676	242	13	ҏ2	ҏ2	VERB
iajs-2676	242	14	in	in	ADP
iajs-2676	242	15	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	242	16	,	,	PUNCT
iajs-2676	242	17	ҳ	ҳ	NOUN
iajs-2676	242	18	)	)	PUNCT
iajs-2676	242	19	(	(	PUNCT
iajs-2676	242	20	respectively	respectively	ADV
iajs-2676	242	21	ҏ2	ҏ2	NOUN
iajs-2676	242	22	in	in	ADP
iajs-2676	242	23	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	242	24	,	,	PUNCT
iajs-2676	242	25	ẛ	ẛ	NOUN
iajs-2676	242	26	)	)	PUNCT
iajs-2676	242	27	)	)	PUNCT
iajs-2676	243	1	choose	choose	VERB
iajs-2676	243	2	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	243	3	)	)	PUNCT
iajs-2676	243	4	,	,	PUNCT
iajs-2676	243	5	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	243	6	)	)	PUNCT
iajs-2676	243	7	∈	∈	PROPN
iajs-2676	243	8	ὑ	ὑ	NOUN
iajs-2676	243	9	)	)	PUNCT
iajs-2676	243	10	,	,	PUNCT
iajs-2676	243	11	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	243	12	)	)	PUNCT
iajs-2676	243	13	≠	≠	PROPN
iajs-2676	243	14	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	243	15	)	)	PUNCT
iajs-2676	243	16	,	,	PUNCT
iajs-2676	243	17	but(ҏ2	but(ҏ2	NOUN
iajs-2676	243	18	↪	↪	PROPN
iajs-2676	243	19	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	243	20	,	,	PUNCT
iajs-2676	243	21	ὑ))(respectively	ὑ))(respectively	ADV
iajs-2676	243	22	(	(	PUNCT
iajs-2676	243	23	ҏ2	ҏ2	NOUN
iajs-2676	243	24	↪	↪	PROPN
iajs-2676	243	25	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	243	26	,	,	PUNCT
iajs-2676	243	27	ɉ)),∃ṿṃ	ɉ)),∃ṿṃ	PROPN
iajs-2676	243	28	∈	∈	PROPN
iajs-2676	243	29	ԏ(respectively	ԏ(respectively	ADV
iajs-2676	243	30	∃ṿṃ	∃ṿṃ	NOUN
iajs-2676	243	31	∈	∈	PROPN
iajs-2676	243	32	ɉpgo(ὑ	ɉpgo(ὑ	PROPN
iajs-2676	243	33	)	)	PUNCT
iajs-2676	243	34	,	,	PUNCT
iajs-2676	243	35	ᶂ(ӿṃ	ᶂ(ӿṃ	NUM
iajs-2676	243	36	)	)	PUNCT
iajs-2676	243	37	∈	∈	PROPN
iajs-2676	243	38	ṿṃ	ṿṃ	NOUN
iajs-2676	243	39	and	and	CCONJ
iajs-2676	243	40	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	243	41	)	)	PUNCT
iajs-2676	243	42	∉	∉	PROPN
iajs-2676	243	43	ṿṃ	ṿṃ	PROPN
iajs-2676	243	44	this	this	PRON
iajs-2676	243	45	implies	imply	VERB
iajs-2676	243	46	ҏ2	ҏ2	VERB
iajs-2676	243	47	in	in	ADP
iajs-2676	243	48	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	243	49	,	,	PUNCT
iajs-2676	243	50	ҳ	ҳ	NOUN
iajs-2676	243	51	)	)	PUNCT
iajs-2676	243	52	respectively	respectively	ADV
iajs-2676	243	53	ҏ2	ҏ2	NOUN
iajs-2676	243	54	in	in	ADP
iajs-2676	243	55	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	243	56	,	,	PUNCT
iajs-2676	243	57	ẛ	ẛ	NOUN
iajs-2676	243	58	)	)	PUNCT
iajs-2676	243	59	)	)	PUNCT
iajs-2676	244	1	choose	choose	VERB
iajs-2676	244	2	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	PROPN
iajs-2676	244	3	)	)	PUNCT
iajs-2676	244	4	,	,	PUNCT
iajs-2676	244	5	thus	thus	ADV
iajs-2676	244	6	ƀ	ƀ	X
iajs-2676	244	7	=	=	SYM
iajs-2676	244	8	{	{	PUNCT
iajs-2676	244	9	ᶂ−1	ᶂ−1	PROPN
iajs-2676	244	10	{	{	PUNCT
iajs-2676	244	11	ṿ1	ṿ1	NOUN
iajs-2676	244	12	}	}	PUNCT
iajs-2676	244	13	,	,	PUNCT
iajs-2676	244	14	ᶂ−1{ṿ2	ᶂ−1{ṿ2	PROPN
iajs-2676	244	15	}	}	PUNCT
iajs-2676	244	16	…	…	PUNCT
iajs-2676	244	17	,	,	PUNCT
iajs-2676	244	18	ᶂ−1{ṿṃ	ᶂ−1{ṿṃ	NOUN
iajs-2676	244	19	}	}	PUNCT
iajs-2676	244	20	.	.	PUNCT
iajs-2676	244	21	.	.	PUNCT
iajs-2676	244	22	.	.	PUNCT
iajs-2676	245	1	}	}	PUNCT
iajs-2676	245	2	is	be	AUX
iajs-2676	245	3	winning	win	VERB
iajs-2676	245	4	strategy	strategy	NOUN
iajs-2676	245	5	for	for	ADP
iajs-2676	245	6	ҏ2	ҏ2	NOUN
iajs-2676	245	7	in	in	ADP
iajs-2676	245	8	ģ(ṫ0	ģ(ṫ0	NOUN
iajs-2676	245	9	,	,	PUNCT
iajs-2676	245	10	ҳ	ҳ	NOUN
iajs-2676	245	11	)	)	PUNCT
iajs-2676	245	12	)	)	PUNCT
iajs-2676	245	13	(	(	PUNCT
iajs-2676	245	14	respectively	respectively	ADV
iajs-2676	245	15	ҏ2	ҏ2	NOUN
iajs-2676	245	16	in	in	ADP
iajs-2676	245	17	ģ(ṫ0	ģ(ṫ0	PROPN
iajs-2676	245	18	,	,	PUNCT
iajs-2676	245	19	ẛ	ẛ	NOUN
iajs-2676	245	20	)	)	PUNCT
iajs-2676	245	21	)	)	PUNCT
iajs-2676	245	22	.	.	PUNCT
iajs-2676	246	1	(	(	PUNCT
iajs-2676	246	2	2	2	NUM
iajs-2676	246	3	)	)	PUNCT
iajs-2676	246	4	.	.	PUNCT
iajs-2676	247	1	in	in	ADP
iajs-2676	247	2	the	the	DET
iajs-2676	247	3	game	game	NOUN
iajs-2676	247	4	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	5	,	,	PUNCT
iajs-2676	247	6	ҳ	ҳ	NOUN
iajs-2676	247	7	)	)	PUNCT
iajs-2676	247	8	,	,	PUNCT
iajs-2676	247	9	(	(	PUNCT
iajs-2676	247	10	respectively	respectively	ADV
iajs-2676	247	11	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	12	,	,	PUNCT
iajs-2676	247	13	ẛ	ẛ	NOUN
iajs-2676	247	14	)	)	PUNCT
iajs-2676	247	15	)	)	PUNCT
iajs-2676	247	16	,	,	PUNCT
iajs-2676	247	17	in	in	ADP
iajs-2676	247	18	the	the	DET
iajs-2676	247	19	ṃ	ṃ	NOUN
iajs-2676	247	20	-	-	PUNCT
iajs-2676	247	21	th	th	VERB
iajs-2676	247	22	round	round	NOUN
iajs-2676	247	23	,	,	PUNCT
iajs-2676	247	24	ҏ1	ҏ1	ADJ
iajs-2676	247	25	in	in	ADP
iajs-2676	247	26	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	27	,	,	PUNCT
iajs-2676	247	28	ҳ	ҳ	NOUN
iajs-2676	247	29	)	)	PUNCT
iajs-2676	247	30	(	(	PUNCT
iajs-2676	247	31	respectively	respectively	ADV
iajs-2676	247	32	in	in	ADP
iajs-2676	247	33	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	34	,	,	PUNCT
iajs-2676	247	35	ẛ	ẛ	NOUN
iajs-2676	247	36	)	)	PUNCT
iajs-2676	247	37	)	)	PUNCT
iajs-2676	247	38	choose	choose	VERB
iajs-2676	247	39	ӿṃ	ӿṃ	PRON
iajs-2676	247	40	≠	≠	PROPN
iajs-2676	247	41	rṃ	rṃ	ADP
iajs-2676	247	42	such	such	DET
iajs-2676	247	43	that	that	DET
iajs-2676	247	44	ӿṃ	ӿṃ	NOUN
iajs-2676	247	45	,	,	PUNCT
iajs-2676	247	46	rṃ	rṃ	ADP
iajs-2676	247	47	∈	∈	PROPN
iajs-2676	247	48	ҳ.	ҳ.	ADV
iajs-2676	247	49	next	next	ADV
iajs-2676	247	50	,	,	PUNCT
iajs-2676	247	51	ҏ2	ҏ2	VERB
iajs-2676	247	52	in	in	ADP
iajs-2676	247	53	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	54	,	,	PUNCT
iajs-2676	247	55	ҳ	ҳ	NOUN
iajs-2676	247	56	)	)	PUNCT
iajs-2676	247	57	(	(	PUNCT
iajs-2676	247	58	respectively	respectively	ADV
iajs-2676	247	59	ҏ2	ҏ2	NOUN
iajs-2676	247	60	in	in	ADP
iajs-2676	247	61	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	247	62	,	,	PUNCT
iajs-2676	247	63	ẛ	ẛ	NOUN
iajs-2676	247	64	)	)	PUNCT
iajs-2676	247	65	)	)	PUNCT
iajs-2676	247	66	choose	choose	VERB
iajs-2676	247	67	ᶂ(ӿṃ	ᶂ(ӿṃ	NOUN
iajs-2676	247	68	)	)	PUNCT
iajs-2676	247	69	,	,	PUNCT
iajs-2676	247	70	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	247	71	)	)	PUNCT
iajs-2676	247	72	∈	∈	PROPN
iajs-2676	248	1	ὑ	ὑ	NOUN
iajs-2676	248	2	)	)	PUNCT
iajs-2676	248	3	,	,	PUNCT
iajs-2676	248	4	ᶂ(ӿṃ	ᶂ(ӿṃ	PROPN
iajs-2676	248	5	)	)	PUNCT
iajs-2676	248	6	≠	≠	PROPN
iajs-2676	248	7	ᶂ(rṃ	ᶂ(rṃ	PROPN
iajs-2676	248	8	)	)	PUNCT
iajs-2676	248	9	,	,	PUNCT
iajs-2676	248	10	but	but	CCONJ
iajs-2676	248	11	(	(	PUNCT
iajs-2676	248	12	ҏ2	ҏ2	NOUN
iajs-2676	248	13	↪	↪	PROPN
iajs-2676	248	14	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	248	15	,	,	PUNCT
iajs-2676	248	16	ὑ	ὑ	NOUN
iajs-2676	248	17	)	)	PUNCT
iajs-2676	248	18	)	)	PUNCT
iajs-2676	248	19	,	,	PUNCT
iajs-2676	248	20	∃џṃ	∃џṃ	INTJ
iajs-2676	248	21	,	,	PUNCT
iajs-2676	248	22	ṿṃ	ṿṃ	INTJ
iajs-2676	248	23	∈	∈	ADV
iajs-2676	248	24	ԏ	ԏ	X
iajs-2676	248	25	(	(	PUNCT
iajs-2676	248	26	respectively	respectively	ADV
iajs-2676	248	27	∃џṃ	∃џṃ	ADJ
iajs-2676	248	28	,	,	PUNCT
iajs-2676	248	29	ṿṃ	ṿṃ	PROPN
iajs-2676	248	30	∈	∈	PROPN
iajs-2676	248	31	ɉpgo(ὑ	ɉpgo(ὑ	NOUN
iajs-2676	248	32	)	)	PUNCT
iajs-2676	248	33	)	)	PUNCT
iajs-2676	248	34	;	;	PUNCT
iajs-2676	248	35	ᶂ(ӿṃ	ᶂ(ӿṃ	X
iajs-2676	248	36	)	)	PUNCT
iajs-2676	248	37	∈	∈	PROPN
iajs-2676	248	38	(	(	PUNCT
iajs-2676	248	39	џṃ	џṃ	NOUN
iajs-2676	248	40	‐	‐	ADP
iajs-2676	248	41	ṿṃ	ṿṃ	PROPN
iajs-2676	248	42	)	)	PUNCT
iajs-2676	248	43	and	and	CCONJ
iajs-2676	248	44	ᶂ(rṃ	ᶂ(rṃ	NUM
iajs-2676	248	45	)	)	PUNCT
iajs-2676	248	46	∈	∈	NOUN
iajs-2676	248	47	(	(	PUNCT
iajs-2676	248	48	ṿṃ	ṿṃ	PROPN
iajs-2676	248	49	‐	‐	PROPN
iajs-2676	248	50	џṃ	џṃ	NOUN
iajs-2676	248	51	)	)	PUNCT
iajs-2676	248	52	,	,	PUNCT
iajs-2676	248	53	this	this	PRON
iajs-2676	248	54	implies	imply	VERB
iajs-2676	248	55	ҏ2	ҏ2	NOUN
iajs-2676	248	56	in	in	ADP
iajs-2676	248	57	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	248	58	,	,	PUNCT
iajs-2676	248	59	ҳ)(respectively	ҳ)(respectively	PUNCT
iajs-2676	248	60	ҏ2	ҏ2	VERB
iajs-2676	248	61	in	in	ADP
iajs-2676	248	62	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	248	63	,	,	PUNCT
iajs-2676	248	64	ẛ	ẛ	NOUN
iajs-2676	248	65	)	)	PUNCT
iajs-2676	248	66	)	)	PUNCT
iajs-2676	249	1	choose	choose	VERB
iajs-2676	249	2	ᶂ−1(џṃ	ᶂ−1(џṃ	PROPN
iajs-2676	249	3	)	)	PUNCT
iajs-2676	249	4	,	,	PUNCT
iajs-2676	249	5	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	249	6	)	)	PUNCT
iajs-2676	249	7	thus	thus	ADV
iajs-2676	249	8	ƀ	ƀ	X
iajs-2676	249	9	=	=	PUNCT
iajs-2676	249	10	{	{	PUNCT
iajs-2676	249	11	{	{	PUNCT
iajs-2676	249	12	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	249	13	)	)	PUNCT
iajs-2676	249	14	,	,	PUNCT
iajs-2676	249	15	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	249	16	)	)	PUNCT
iajs-2676	249	17	}	}	PUNCT
iajs-2676	249	18	,	,	PUNCT
iajs-2676	249	19	{	{	PUNCT
iajs-2676	249	20	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	249	21	)	)	PUNCT
iajs-2676	249	22	,	,	PUNCT
iajs-2676	249	23	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	249	24	)	)	PUNCT
iajs-2676	249	25	}	}	PUNCT
iajs-2676	249	26	,	,	PUNCT
iajs-2676	249	27	…	…	PUNCT
iajs-2676	249	28	,	,	PUNCT
iajs-2676	249	29	{	{	PUNCT
iajs-2676	249	30	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	249	31	)	)	PUNCT
iajs-2676	249	32	,	,	PUNCT
iajs-2676	249	33	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	249	34	)	)	PUNCT
iajs-2676	249	35	}	}	PUNCT
iajs-2676	249	36	.	.	PUNCT
iajs-2676	249	37	.	.	PUNCT
iajs-2676	249	38	.	.	PUNCT
iajs-2676	250	1	}	}	PUNCT
iajs-2676	250	2	is	be	AUX
iajs-2676	250	3	winning	win	VERB
iajs-2676	250	4	strategy	strategy	NOUN
iajs-2676	250	5	for	for	ADP
iajs-2676	250	6	ҏ2	ҏ2	NOUN
iajs-2676	250	7	in	in	ADP
iajs-2676	250	8	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	250	9	,	,	PUNCT
iajs-2676	250	10	ҳ)(respectively	ҳ)(respectively	ADV
iajs-2676	250	11	ҏ2	ҏ2	VERB
iajs-2676	250	12	in	in	ADP
iajs-2676	250	13	ģ(ṫ1	ģ(ṫ1	PROPN
iajs-2676	250	14	,	,	PUNCT
iajs-2676	250	15	ẛ	ẛ	NOUN
iajs-2676	250	16	)	)	PUNCT
iajs-2676	250	17	)	)	PUNCT
iajs-2676	250	18	.	.	PUNCT
iajs-2676	251	1	by	by	ADP
iajs-2676	251	2	the	the	DET
iajs-2676	251	3	same	same	ADJ
iajs-2676	251	4	way	way	NOUN
iajs-2676	251	5	we	we	PRON
iajs-2676	251	6	can	can	AUX
iajs-2676	251	7	prove	prove	VERB
iajs-2676	251	8	ҏ2	ҏ2	NOUN
iajs-2676	251	9	↪	↪	PROPN
iajs-2676	251	10	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	251	11	,	,	PUNCT
iajs-2676	251	12	ҳ	ҳ	NOUN
iajs-2676	251	13	)	)	PUNCT
iajs-2676	251	14	respectively	respectively	ADV
iajs-2676	251	15	,	,	PUNCT
iajs-2676	251	16	ҏ2	ҏ2	VERB
iajs-2676	251	17	in	in	ADP
iajs-2676	251	18	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	251	19	,	,	PUNCT
iajs-2676	251	20	ẛ	ẛ	NOUN
iajs-2676	251	21	)	)	PUNCT
iajs-2676	251	22	,	,	PUNCT
iajs-2676	251	23	but	but	CCONJ
iajs-2676	251	24	ᶂ−1(џṃ	ᶂ−1(џṃ	X
iajs-2676	251	25	)	)	PUNCT
iajs-2676	251	26	∩	∩	ADJ
iajs-2676	251	27	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	251	28	)	)	PUNCT
iajs-2676	252	1	=	=	NOUN
iajs-2676	252	2	∅	∅	NOUN
iajs-2676	252	3	thus	thus	ADV
iajs-2676	252	4	ƀ	ƀ	X
iajs-2676	252	5	=	=	SYM
iajs-2676	252	6	{	{	PUNCT
iajs-2676	252	7	{	{	PUNCT
iajs-2676	252	8	ᶂ−1(џ1	ᶂ−1(џ1	NOUN
iajs-2676	252	9	)	)	PUNCT
iajs-2676	252	10	,	,	PUNCT
iajs-2676	252	11	ᶂ−1(ṿ1	ᶂ−1(ṿ1	NOUN
iajs-2676	252	12	)	)	PUNCT
iajs-2676	252	13	}	}	PUNCT
iajs-2676	252	14	,	,	PUNCT
iajs-2676	252	15	{	{	PUNCT
iajs-2676	252	16	ᶂ−1(џ2	ᶂ−1(џ2	NOUN
iajs-2676	252	17	)	)	PUNCT
iajs-2676	252	18	,	,	PUNCT
iajs-2676	252	19	ᶂ−1(ṿ2	ᶂ−1(ṿ2	NOUN
iajs-2676	252	20	)	)	PUNCT
iajs-2676	252	21	}	}	PUNCT
iajs-2676	252	22	,	,	PUNCT
iajs-2676	252	23	…	…	PUNCT
iajs-2676	252	24	,	,	PUNCT
iajs-2676	252	25	{	{	PUNCT
iajs-2676	252	26	ᶂ−1(џṃ	ᶂ−1(џṃ	NOUN
iajs-2676	252	27	)	)	PUNCT
iajs-2676	252	28	,	,	PUNCT
iajs-2676	252	29	ᶂ−1(ṿṃ	ᶂ−1(ṿṃ	NOUN
iajs-2676	252	30	)	)	PUNCT
iajs-2676	252	31	}	}	PUNCT
iajs-2676	252	32	.	.	PUNCT
iajs-2676	252	33	.	.	PUNCT
iajs-2676	252	34	.	.	PUNCT
iajs-2676	253	1	}	}	PUNCT
iajs-2676	253	2	is	be	AUX
iajs-2676	253	3	winning	win	VERB
iajs-2676	253	4	strategy	strategy	NOUN
iajs-2676	253	5	for	for	ADP
iajs-2676	253	6	ҏ2	ҏ2	NOUN
iajs-2676	253	7	in	in	ADP
iajs-2676	253	8	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	253	9	,	,	PUNCT
iajs-2676	253	10	ҳ))(respectively	ҳ))(respectively	ADV
iajs-2676	253	11	ҏ2	ҏ2	VERB
iajs-2676	253	12	in	in	ADP
iajs-2676	253	13	ģ(ṫ2	ģ(ṫ2	NOUN
iajs-2676	253	14	,	,	PUNCT
iajs-2676	253	15	ẛ	ẛ	NOUN
iajs-2676	253	16	)	)	PUNCT
iajs-2676	253	17	)	)	PUNCT
iajs-2676	253	18	.	.	PUNCT
iajs-2676	254	1	corollary	corollary	ADJ
iajs-2676	254	2	4.10	4.10	NUM
iajs-2676	254	3	.	.	PUNCT
iajs-2676	255	1	if	if	SCONJ
iajs-2676	255	2	ᶂ	ᶂ	PROPN
iajs-2676	255	3	∶	∶	NOUN
iajs-2676	255	4	(	(	PUNCT
iajs-2676	255	5	ҳ	ҳ	NOUN
iajs-2676	255	6	,	,	PUNCT
iajs-2676	255	7	ṭ	ṭ	NOUN
iajs-2676	255	8	)	)	PUNCT
iajs-2676	255	9			NOUN
iajs-2676	255	10	(	(	PUNCT
iajs-2676	255	11	ὑ	ὑ	INTJ
iajs-2676	255	12	,	,	PUNCT
iajs-2676	255	13	ԏ	ԏ	ADJ
iajs-2676	255	14	)	)	PUNCT
iajs-2676	255	15	is	be	AUX
iajs-2676	255	16	homeo	homeo	ADJ
iajs-2676	255	17	then	then	ADV
iajs-2676	255	18	(	(	PUNCT
iajs-2676	255	19	ҏ2	ҏ2	PROPN
iajs-2676	255	20	↪	↪	PROPN
iajs-2676	255	21	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	255	22	,	,	PUNCT
iajs-2676	255	23	ҳ	ҳ	NOUN
iajs-2676	255	24	)	)	PUNCT
iajs-2676	255	25	)	)	PUNCT
iajs-2676	255	26	(	(	PUNCT
iajs-2676	255	27	ҏ2	ҏ2	PROPN
iajs-2676	255	28	↪	↪	PROPN
iajs-2676	255	29	ģ(ṫ𝑖	ģ(ṫ𝑖	PROPN
iajs-2676	255	30	,	,	PUNCT
iajs-2676	255	31	ὑ	ὑ	NOUN
iajs-2676	255	32	)	)	PUNCT
iajs-2676	255	33	)	)	PUNCT
iajs-2676	255	34	such	such	ADJ
iajs-2676	255	35	that	that	SCONJ
iajs-2676	255	36	(	(	PUNCT
iajs-2676	255	37	i=0,1and	i=0,1and	NOUN
iajs-2676	255	38	2	2	NUM
iajs-2676	255	39	respectively	respectively	ADV
iajs-2676	255	40	)	)	PUNCT
iajs-2676	255	41	.	.	PUNCT
iajs-2676	256	1	5.conclusion	5.conclusion	NUM
iajs-2676	256	2	the	the	DET
iajs-2676	256	3	main	main	ADJ
iajs-2676	256	4	aim	aim	NOUN
iajs-2676	256	5	of	of	ADP
iajs-2676	256	6	this	this	DET
iajs-2676	256	7	work	work	NOUN
iajs-2676	256	8	is	be	AUX
iajs-2676	256	9	to	to	PART
iajs-2676	256	10	submit	submit	VERB
iajs-2676	256	11	new	new	ADJ
iajs-2676	256	12	near	near	ADP
iajs-2676	256	13	open	open	ADJ
iajs-2676	256	14	sets	set	NOUN
iajs-2676	256	15	which	which	PRON
iajs-2676	256	16	are	be	AUX
iajs-2676	256	17	called	call	VERB
iajs-2676	256	18	ẛـpreـgـclosed	ẛـpreـgـclose	VERB
iajs-2676	256	19	sets	set	NOUN
iajs-2676	256	20	and	and	CCONJ
iajs-2676	256	21	it	it	PRON
iajs-2676	256	22	is	be	AUX
iajs-2676	256	23	complement	complement	NOUN
iajs-2676	256	24	ẛـpreـgـopen	ẛـpreـgـopen	ADJ
iajs-2676	256	25	set	set	NOUN
iajs-2676	256	26	,	,	PUNCT
iajs-2676	256	27	and	and	CCONJ
iajs-2676	256	28	interested	interested	ADJ
iajs-2676	256	29	also	also	ADV
iajs-2676	256	30	in	in	ADP
iajs-2676	256	31	studying	study	VERB
iajs-2676	256	32	new	new	ADJ
iajs-2676	256	33	species	specie	NOUN
iajs-2676	256	34	of	of	ADP
iajs-2676	256	35	the	the	DET
iajs-2676	256	36	games	game	NOUN
iajs-2676	256	37	by	by	ADP
iajs-2676	256	38	application	application	NOUN
iajs-2676	256	39	separation	separation	NOUN
iajs-2676	256	40	axioms	axiom	NOUN
iajs-2676	256	41	via	via	ADP
iajs-2676	256	42	ẛـpreـgـopen	ẛـpreـgـopen	ADJ
iajs-2676	256	43	sets	set	NOUN
iajs-2676	256	44	and	and	CCONJ
iajs-2676	256	45	gives	give	VERB
iajs-2676	256	46	the	the	DET
iajs-2676	256	47	strategy	strategy	NOUN
iajs-2676	256	48	of	of	ADP
iajs-2676	256	49	winning	win	VERB
iajs-2676	256	50	and	and	CCONJ
iajs-2676	256	51	losing	lose	VERB
iajs-2676	256	52	to	to	ADP
iajs-2676	256	53	any	any	DET
iajs-2676	256	54	one	one	NUM
iajs-2676	256	55	of	of	ADP
iajs-2676	256	56	the	the	DET
iajs-2676	256	57	two	two	NUM
iajs-2676	256	58	players	player	NOUN
iajs-2676	256	59	in	in	ADP
iajs-2676	256	60	ģ(ṫi	ģ(ṫi	PROPN
iajs-2676	256	61	,	,	PUNCT
iajs-2676	256	62	ҳ	ҳ	NOUN
iajs-2676	256	63	)	)	PUNCT
iajs-2676	256	64	,	,	PUNCT
iajs-2676	256	65	i=	i=	PROPN
iajs-2676	256	66	{	{	PUNCT
iajs-2676	256	67	0	0	NUM
iajs-2676	256	68	,	,	PUNCT
iajs-2676	256	69	1	1	NUM
iajs-2676	256	70	,	,	PUNCT
iajs-2676	256	71	2	2	NUM
iajs-2676	256	72	}	}	PUNCT
iajs-2676	256	73	.	.	PUNCT
iajs-2676	257	1	ibn	ibn	PROPN
iajs-2676	257	2	al	al	PROPN
iajs-2676	257	3	-	-	PUNCT
iajs-2676	257	4	haitham	haitham	PROPN
iajs-2676	257	5	jour	jour	X
iajs-2676	257	6	.	.	PROPN
iajs-2676	257	7	for	for	ADP
iajs-2676	257	8	pure	pure	ADJ
iajs-2676	257	9	&	&	CCONJ
iajs-2676	257	10	appl	appl	PROPN
iajs-2676	257	11	.	.	PUNCT
iajs-2676	258	1	sci	sci	PROPN
iajs-2676	258	2	.	.	PROPN
iajs-2676	259	1	34(3)2021	34(3)2021	NUM
iajs-2676	259	2	49	49	NUM
iajs-2676	259	3	references	reference	NOUN
iajs-2676	259	4	1	1	NUM
iajs-2676	259	5	.	.	PUNCT
iajs-2676	260	1	kuratowski	kuratowski	PROPN
iajs-2676	260	2	,	,	PUNCT
iajs-2676	260	3	k.	k.	PROPN
iajs-2676	260	4	topology	topology	PROPN
iajs-2676	260	5	.	.	PUNCT
iajs-2676	261	1	new	new	PROPN
iajs-2676	261	2	york	york	PROPN
iajs-2676	261	3	:	:	PUNCT
iajs-2676	261	4	academic	academic	ADJ
iajs-2676	261	5	press	press	NOUN
iajs-2676	261	6	.	.	PUNCT
iajs-2676	262	1	1933	1933	NUM
iajs-2676	262	2	,	,	PUNCT
iajs-2676	262	3	i.	i.	PROPN
iajs-2676	262	4	2	2	NUM
iajs-2676	262	5	.	.	PUNCT
iajs-2676	262	6	vaidyanathaswamy	vaidyanathaswamy	NOUN
iajs-2676	262	7	,	,	PUNCT
iajs-2676	263	1	v.	v.	ADP
iajs-2676	263	2	the	the	DET
iajs-2676	263	3	localization	localization	NOUN
iajs-2676	263	4	theory	theory	NOUN
iajs-2676	263	5	in	in	ADP
iajs-2676	263	6	set	set	NOUN
iajs-2676	263	7	topology	topology	NOUN
iajs-2676	263	8	.	.	PUNCT
iajs-2676	264	1	proc	proc	NOUN
iajs-2676	264	2	.	.	PUNCT
iajs-2676	265	1	indian	indian	PROPN
iajs-2676	265	2	acad	acad	PROPN
iajs-2676	265	3	.	.	PUNCT
iajs-2676	266	1	sci	sci	PROPN
iajs-2676	266	2	.	.	PROPN
iajs-2676	266	3	1945	1945	NUM
iajs-2676	266	4	.	.	PUNCT
iajs-2676	267	1	20	20	NUM
iajs-2676	267	2	,	,	PUNCT
iajs-2676	267	3	51	51	NUM
iajs-2676	267	4	-	-	SYM
iajs-2676	267	5	61	61	NUM
iajs-2676	267	6	.	.	PUNCT
iajs-2676	268	1	3	3	X
iajs-2676	268	2	.	.	X
iajs-2676	268	3	abd	abd	PROPN
iajs-2676	268	4	elmonsef	elmonsef	PROPN
iajs-2676	268	5	,	,	PUNCT
iajs-2676	268	6	me	i	PRON
iajs-2676	268	7	.	.	PUNCT
iajs-2676	268	8	;	;	PUNCT
iajs-2676	268	9	nasef	nasef	PROPN
iajs-2676	268	10	,	,	PUNCT
iajs-2676	268	11	aa	aa	INTJ
iajs-2676	268	12	.	.	PROPN
iajs-2676	268	13	,	,	PUNCT
iajs-2676	268	14	radwan	radwan	PROPN
iajs-2676	268	15	,	,	PUNCT
iajs-2676	268	16	ae	ae	PROPN
iajs-2676	268	17	.	.	PUNCT
iajs-2676	268	18	;	;	PUNCT
iajs-2676	268	19	esmaeel	esmaeel	VERB
iajs-2676	268	20	rb	rb	NOUN
iajs-2676	268	21	.	.	PUNCT
iajs-2676	269	1	on	on	ADP
iajs-2676	269	2	αopen	αopen	ADJ
iajs-2676	269	3	sets	set	NOUN
iajs-2676	269	4	with	with	ADP
iajs-2676	269	5	respect	respect	NOUN
iajs-2676	269	6	to	to	ADP
iajs-2676	269	7	an	an	DET
iajs-2676	269	8	ideal	ideal	NOUN
iajs-2676	269	9	.	.	PUNCT
iajs-2676	270	1	jast	jast	VERB
iajs-2676	270	2	.	.	PUNCT
iajs-2676	271	1	2014,5,3	2014,5,3	NUM
iajs-2676	271	2	,	,	PUNCT
iajs-2676	271	3	1	1	NUM
iajs-2676	271	4	-	-	SYM
iajs-2676	271	5	9	9	NUM
iajs-2676	271	6	.	.	NOUN
iajs-2676	271	7	4	4	NUM
iajs-2676	271	8	.	.	X
iajs-2676	271	9	esmaeel	esmaeel	VERB
iajs-2676	271	10	,	,	PUNCT
iajs-2676	271	11	rb	rb	PROPN
iajs-2676	271	12	.	.	PUNCT
iajs-2676	271	13	;	;	PUNCT
iajs-2676	271	14	nasir	nasir	PROPN
iajs-2676	271	15	ai	ai	VERB
iajs-2676	271	16	.	.	PUNCT
iajs-2676	272	1	some	some	DET
iajs-2676	272	2	properties	property	NOUN
iajs-2676	272	3	of	of	ADP
iajs-2676	272	4	ĩ	ĩ	ADP
iajs-2676	272	5	-	-	PUNCT
iajs-2676	272	6	semi	semi	ADJ
iajs-2676	272	7	-	-	ADJ
iajs-2676	272	8	open	open	ADJ
iajs-2676	272	9	soft	soft	ADJ
iajs-2676	272	10	sets	set	NOUN
iajs-2676	272	11	with	with	ADP
iajs-2676	272	12	respect	respect	NOUN
iajs-2676	272	13	to	to	ADP
iajs-2676	272	14	soft	soft	ADJ
iajs-2676	272	15	ideals	ideal	NOUN
iajs-2676	272	16	.	.	PUNCT
iajs-2676	273	1	int	int	NOUN
iajs-2676	273	2	j	j	PROPN
iajs-2676	273	3	pure	pure	ADJ
iajs-2676	273	4	appl	appl	PROPN
iajs-2676	273	5	math	math	NOUN
iajs-2676	273	6	.	.	PUNCT
iajs-2676	274	1	2016	2016	NUM
iajs-2676	274	2	,	,	PUNCT
iajs-2676	274	3	111	111	NUM
iajs-2676	274	4	,	,	PUNCT
iajs-2676	274	5	4	4	NUM
iajs-2676	274	6	,	,	PUNCT
iajs-2676	274	7	545‐561	545‐561	NUM
iajs-2676	274	8	.	.	PUNCT
iajs-2676	275	1	5	5	NUM
iajs-2676	275	2	.	.	X
iajs-2676	275	3	nasef	nasef	PROPN
iajs-2676	275	4	,	,	PUNCT
iajs-2676	275	5	a.	a.	NOUN
iajs-2676	275	6	a.	a.	NOUN
iajs-2676	275	7	;	;	PUNCT
iajs-2676	276	1	radwan	radwan	NOUN
iajs-2676	276	2	,	,	PUNCT
iajs-2676	276	3	a.	a.	PROPN
iajs-2676	276	4	e.	e.	PROPN
iajs-2676	276	5	;	;	PUNCT
iajs-2676	276	6	esmaeel	esmaeel	NOUN
iajs-2676	276	7	,	,	PUNCT
iajs-2676	276	8	rb	rb	NOUN
iajs-2676	276	9	.	.	PUNCT
iajs-2676	277	1	some	some	DET
iajs-2676	277	2	properties	property	NOUN
iajs-2676	277	3	of	of	ADP
iajs-2676	277	4	α	α	NOUN
iajs-2676	277	5	-	-	ADJ
iajs-2676	277	6	open	open	ADJ
iajs-2676	277	7	sets	set	NOUN
iajs-2676	277	8	with	with	ADP
iajs-2676	277	9	respect	respect	NOUN
iajs-2676	277	10	to	to	ADP
iajs-2676	277	11	an	an	DET
iajs-2676	277	12	ideal	ideal	NOUN
iajs-2676	277	13	.	.	PUNCT
iajs-2676	278	1	int	int	NOUN
iajs-2676	278	2	j	j	PROPN
iajs-2676	278	3	pure	pure	ADJ
iajs-2676	278	4	appl	appl	PROPN
iajs-2676	278	5	math	math	PROPN
iajs-2676	278	6	.	.	PUNCT
iajs-2676	279	1	2015,102	2015,102	NUM
iajs-2676	279	2	,	,	PUNCT
iajs-2676	279	3	4	4	NUM
iajs-2676	279	4	,	,	PUNCT
iajs-2676	279	5	613	613	NUM
iajs-2676	279	6	-	-	SYM
iajs-2676	279	7	630	630	NUM
iajs-2676	279	8	..	..	SYM
iajs-2676	279	9	6	6	NUM
iajs-2676	279	10	.	.	X
iajs-2676	280	1	mashhour	mashhour	VERB
iajs-2676	280	2	,	,	PUNCT
iajs-2676	280	3	as	as	ADP
iajs-2676	280	4	.	.	PUNCT
iajs-2676	280	5	;	;	PUNCT
iajs-2676	280	6	abd	abd	PROPN
iajs-2676	280	7	elmonsef	elmonsef	NOUN
iajs-2676	280	8	,	,	PUNCT
iajs-2676	280	9	me	i	PRON
iajs-2676	280	10	.	.	PUNCT
iajs-2676	280	11	;	;	PUNCT
iajs-2676	280	12	eldeeb	eldeeb	PROPN
iajs-2676	280	13	,	,	PUNCT
iajs-2676	280	14	s	s	VERB
iajs-2676	280	15	n.	n.	NOUN
iajs-2676	280	16	on	on	ADP
iajs-2676	280	17	pre	pre	ADJ
iajs-2676	280	18	topological	topological	ADJ
iajs-2676	280	19	spaces	space	NOUN
iajs-2676	280	20	.	.	PUNCT
iajs-2676	281	1	bull	bull	NOUN
iajs-2676	281	2	.	.	PUNCT
iajs-2676	282	1	math	math	NOUN
iajs-2676	282	2	.	.	PUNCT
iajs-2676	283	1	della	della	PROPN
iajs-2676	283	2	soc	soc	PROPN
iajs-2676	283	3	.	.	PUNCT
iajs-2676	284	1	r.s	r.s	PROPN
iajs-2676	284	2	.	.	PROPN
iajs-2676	284	3	derouman	derouman	PROPN
iajs-2676	284	4	,	,	PUNCT
iajs-2676	284	5	1984	1984	NUM
iajs-2676	284	6	.	.	PUNCT
iajs-2676	285	1	28,76	28,76	NUM
iajs-2676	285	2	,	,	PUNCT
iajs-2676	285	3	39	39	NUM
iajs-2676	285	4	-	-	SYM
iajs-2676	285	5	45	45	NUM
iajs-2676	285	6	.	.	NOUN
iajs-2676	286	1	7	7	X
iajs-2676	286	2	.	.	X
iajs-2676	286	3	mahmood	mahmood	PROPN
iajs-2676	286	4	,	,	PUNCT
iajs-2676	286	5	si	si	INTJ
iajs-2676	286	6	.	.	NOUN
iajs-2676	286	7	on	on	ADP
iajs-2676	286	8	generalized	generalized	ADJ
iajs-2676	286	9	regular	regular	ADJ
iajs-2676	286	10	continuous	continuous	ADJ
iajs-2676	286	11	functions	function	NOUN
iajs-2676	286	12	in	in	ADP
iajs-2676	286	13	topological	topological	ADJ
iajs-2676	286	14	spaces	space	NOUN
iajs-2676	286	15	.	.	PUNCT
iajs-2676	287	1	ibn	ibn	PROPN
iajs-2676	287	2	alhaitham	alhaitham	PROPN
iajs-2676	287	3	jour	jour	PROPN
iajs-2676	287	4	.	.	PUNCT
iajs-2676	288	1	for	for	ADP
iajs-2676	288	2	pure	pure	ADJ
iajs-2676	288	3	&	&	CCONJ
iajs-2676	288	4	appl	appl	PROPN
iajs-2676	288	5	.	.	PUNCT
iajs-2676	289	1	sci	sci	PROPN
iajs-2676	289	2	.	.	PROPN
iajs-2676	289	3	2012	2012	NUM
iajs-2676	289	4	,	,	PUNCT
iajs-2676	289	5	25	25	NUM
iajs-2676	289	6	,	,	PUNCT
iajs-2676	289	7	3	3	NUM
iajs-2676	289	8	,	,	PUNCT
iajs-2676	289	9	377	377	NUM
iajs-2676	289	10	-	-	SYM
iajs-2676	289	11	376	376	NUM
iajs-2676	289	12	.	.	PUNCT
iajs-2676	289	13	8	8	NUM
iajs-2676	289	14	.	.	PUNCT
iajs-2676	290	1	nasir	nasir	PROPN
iajs-2676	290	2	,	,	PUNCT
iajs-2676	290	3	ai	ai	VERB
iajs-2676	290	4	.	.	PROPN
iajs-2676	290	5	;	;	PUNCT
iajs-2676	290	6	esmaeel	esmaeel	VERB
iajs-2676	290	7	,	,	PUNCT
iajs-2676	290	8	rb	rb	PROPN
iajs-2676	290	9	.	.	PROPN
iajs-2676	290	10	,	,	PUNCT
iajs-2676	290	11	on	on	ADP
iajs-2676	290	12	α‐j	α‐j	NOUN
iajs-2676	290	13	-	-	PUNCT
iajs-2676	290	14	space	space	NOUN
iajs-2676	290	15	,	,	PUNCT
iajs-2676	290	16	jardcs	jardcs	NOUN
iajs-2676	290	17	.	.	PUNCT
iajs-2676	291	1	2019,11,01‐special	2019,11,01‐special	ADJ
iajs-2676	291	2	issue	issue	NOUN
iajs-2676	291	3	:	:	PUNCT
iajs-2676	291	4	1379‐1382	1379‐1382	NUM
iajs-2676	291	5	.	.	NOUN
iajs-2676	291	6	9	9	NUM
iajs-2676	291	7	.	.	X
iajs-2676	291	8	zinah	zinah	PROPN
iajs-2676	291	9	,	,	PUNCT
iajs-2676	291	10	t.	t.	PROPN
iajs-2676	291	11	al	al	PROPN
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iajs-2676	291	13	.	.	PUNCT
iajs-2676	292	1	on	on	ADP
iajs-2676	292	2	generalized	generalized	ADJ
iajs-2676	292	3	b∗-closed	b∗-close	VERB
iajs-2676	292	4	sets	set	NOUN
iajs-2676	292	5	in	in	ADP
iajs-2676	292	6	topological	topological	ADJ
iajs-2676	292	7	spaces	space	NOUN
iajs-2676	292	8	.	.	PUNCT
iajs-2676	293	1	ibn	ibn	PROPN
iajs-2676	293	2	al	al	PROPN
iajs-2676	293	3	-	-	PUNCT
iajs-2676	293	4	haitham	haitham	PROPN
iajs-2676	293	5	jour	jour	X
iajs-2676	293	6	.	.	PROPN
iajs-2676	293	7	for	for	ADP
iajs-2676	293	8	pure	pure	ADJ
iajs-2676	293	9	&	&	CCONJ
iajs-2676	293	10	appl	appl	PROPN
iajs-2676	293	11	.	.	PUNCT
iajs-2676	293	12	sic	sic	ADJ
iajs-2676	293	13	.	.	PUNCT
iajs-2676	294	1	2015	2015	NUM
iajs-2676	294	2	,	,	PUNCT
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iajs-2676	294	4	,	,	PUNCT
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iajs-2676	294	6	,	,	PUNCT
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iajs-2676	294	8	-	-	SYM
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iajs-2676	294	10	.	.	PUNCT
iajs-2676	295	1	10	10	NUM
iajs-2676	295	2	.	.	PUNCT
iajs-2676	296	1	ahmed	ahmed	PROPN
iajs-2676	296	2	,	,	PUNCT
iajs-2676	296	3	a.	a.	PROPN
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iajs-2676	296	5	;	;	PUNCT
iajs-2676	296	6	esmaeel	esmaeel	NOUN
iajs-2676	296	7	,	,	PUNCT
iajs-2676	296	8	rb	rb	NOUN
iajs-2676	296	9	.	.	PUNCT
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iajs-2676	296	11	via	via	ADP
iajs-2676	296	12	ẛ	ẛ	NOUN
iajs-2676	296	13	-	-	PUNCT
iajs-2676	296	14	pre	pre	ADJ
iajs-2676	296	15	-	-	ADJ
iajs-2676	296	16	g	g	NOUN
iajs-2676	296	17	-	-	PUNCT
iajs-2676	296	18	open	open	NOUN
iajs-2676	296	19	set	set	NOUN
iajs-2676	296	20	,	,	PUNCT
iajs-2676	296	21	ibn	ibn	PROPN
iajs-2676	296	22	al	al	PROPN
iajs-2676	296	23	-	-	PUNCT
iajs-2676	296	24	haitham	haitham	PROPN
iajs-2676	296	25	jour	jour	X
iajs-2676	296	26	.	.	PROPN
iajs-2676	297	1	for	for	ADP
iajs-2676	297	2	pure	pure	ADJ
iajs-2676	297	3	&	&	CCONJ
iajs-2676	297	4	appl	appl	PROPN
iajs-2676	297	5	.	.	PUNCT
iajs-2676	298	1	sci	sci	PROPN
iajs-2676	298	2	.	.	PUNCT
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iajs-2676	298	4	.	.	PUNCT
iajs-2676	299	1	11	11	NUM
iajs-2676	299	2	.	.	X
iajs-2676	300	1	aumann	aumann	PROPN
iajs-2676	300	2	,	,	PUNCT
iajs-2676	300	3	rj	rj	PROPN
iajs-2676	300	4	,	,	PUNCT
iajs-2676	300	5	survey	survey	NOUN
iajs-2676	300	6	of	of	ADP
iajs-2676	300	7	repeated	repeat	VERB
iajs-2676	300	8	game	game	NOUN
iajs-2676	300	9	,	,	PUNCT
iajs-2676	300	10	in	in	ADP
iajs-2676	300	11	aumann	aumann	PROPN
iajs-2676	300	12	rj	rj	PROPN
iajs-2676	300	13	et	et	PROPN
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iajs-2676	300	16	(	(	PUNCT
iajs-2676	300	17	eds	ed	NOUN
iajs-2676	300	18	)	)	PUNCT
iajs-2676	300	19	essays	essay	NOUN
iajs-2676	300	20	in	in	ADP
iajs-2676	300	21	game	game	NOUN
iajs-2676	300	22	theory	theory	NOUN
iajs-2676	300	23	and	and	CCONJ
iajs-2676	300	24	mathematical	mathematical	ADJ
iajs-2676	300	25	economics	economic	NOUN
iajs-2676	300	26	in	in	ADP
iajs-2676	300	27	honor	honor	NOUN
iajs-2676	300	28	.	.	PUNCT
iajs-2676	301	1	of	of	ADP
iajs-2676	301	2	oscar	oscar	PROPN
iajs-2676	301	3	morgentern	morgentern	NOUN
iajs-2676	301	4	.	.	PUNCT
iajs-2676	302	1	1981	1981	NUM
iajs-2676	302	2	.	.	PUNCT
iajs-2676	303	1	12	12	NUM
iajs-2676	303	2	.	.	PUNCT
iajs-2676	304	1	banks	bank	NOUN
iajs-2676	304	2	,	,	PUNCT
iajs-2676	304	3	js	js	PROPN
iajs-2676	304	4	.	.	PUNCT
iajs-2676	304	5	;	;	PUNCT
iajs-2676	304	6	sundaram	sundaram	PROPN
iajs-2676	304	7	,	,	PUNCT
iajs-2676	304	8	r	r	PROPN
iajs-2676	304	9	k.	k.	PROPN
iajs-2676	304	10	repeated	repeat	VERB
iajs-2676	304	11	games	game	NOUN
iajs-2676	304	12	.	.	PUNCT
iajs-2676	305	1	finite	finite	PROPN
iajs-2676	305	2	automata	automata	NOUN
iajs-2676	305	3	and	and	CCONJ
iajs-2676	305	4	complexity	complexity	NOUN
iajs-2676	305	5	,	,	PUNCT
iajs-2676	305	6	games	game	NOUN
iajs-2676	305	7	and	and	CCONJ
iajs-2676	305	8	economic	economic	ADJ
iajs-2676	305	9	behaviour	behaviour	NOUN
iajs-2676	305	10	.	.	PUNCT
iajs-2676	306	1	1990	1990	NUM
iajs-2676	306	2	,	,	PUNCT
iajs-2676	306	3	2	2	NUM
iajs-2676	306	4	,	,	PUNCT
iajs-2676	306	5	97‐117	97‐117	NUM
iajs-2676	306	6	.	.	NOUN
iajs-2676	307	1	13	13	NUM
iajs-2676	307	2	.	.	X
iajs-2676	307	3	maynard	maynard	PROPN
iajs-2676	307	4	smith	smith	PROPN
iajs-2676	307	5	j.	j.	PROPN
iajs-2676	307	6	evolutionary	evolutionary	PROPN
iajs-2676	307	7	and	and	CCONJ
iajs-2676	307	8	theory	theory	NOUN
iajs-2676	307	9	of	of	ADP
iajs-2676	307	10	games	games	PROPN
iajs-2676	307	11	.	.	PUNCT
iajs-2676	308	1	cup	cup	NOUN
iajs-2676	308	2	.	.	PUNCT
iajs-2676	309	1	1982	1982	NUM
iajs-2676	309	2	.	.	PUNCT
iajs-2676	310	1	14	14	NUM
iajs-2676	310	2	.	.	PUNCT
iajs-2676	311	1	michael	michael	PROPN
iajs-2676	311	2	,	,	PUNCT
iajs-2676	311	3	mastodongibbons	mastodongibbon	NOUN
iajs-2676	311	4	,	,	PUNCT
iajs-2676	311	5	an	an	DET
iajs-2676	311	6	introduction	introduction	NOUN
iajs-2676	311	7	to	to	ADP
iajs-2676	311	8	game	game	NOUN
iajs-2676	311	9	.	.	PUNCT
iajs-2676	312	1	the	the	DET
iajs-2676	312	2	advanced	advanced	ADJ
iajs-2676	312	3	book	book	NOUN
iajs-2676	312	4	program	program	NOUN
iajs-2676	312	5	,	,	PUNCT
iajs-2676	312	6	addison	addison	PROPN
iajs-2676	312	7	-	-	PUNCT
iajs-2676	312	8	wesley	wesley	PROPN
iajs-2676	312	9	pub	pub	PROPN
iajs-2676	312	10	.	.	PUNCT
iajs-2676	313	1	co.	co.	PROPN
iajs-2676	313	2	advanced	advanced	ADJ
iajs-2676	313	3	book	book	NOUN
iajs-2676	313	4	program	program	NOUN
iajs-2676	313	5	.	.	PUNCT
iajs-2676	314	1	1992	1992	NUM
iajs-2676	314	2	.	.	PUNCT
iajs-2676	315	1	thomas	thomas	PROPN
iajs-2676	315	2	lc	lc	PROPN
iajs-2676	315	3	,	,	PUNCT
iajs-2676	315	4	game	game	NOUN
iajs-2676	315	5	theory	theory	NOUN
iajs-2676	315	6	and	and	CCONJ
iajs-2676	315	7	applications	application	NOUN
iajs-2676	315	8	.	.	PUNCT
iajs-2676	316	1	ellis	ellis	PROPN
iajs-2676	316	2	harwood	harwood	PROPN
iajs-2676	316	3	series	series	PROPN
iajs-2676	316	4	.	.	PUNCT
iajs-2676	317	1	chi	chi	PROPN
iajs-2676	317	2	chester	chester	PROPN
iajs-2676	317	3	,	,	PUNCT
iajs-2676	317	4	england	england	PROPN
iajs-2676	317	5	.	.	PUNCT
iajs-2676	318	1	1986	1986	NUM