id	sid	tid	token	lemma	pos
ejpam-3308	1	1	application	application	NOUN
ejpam-3308	1	2	of	of	ADP
ejpam-3308	1	3	combinatorial	combinatorial	ADJ
ejpam-3308	1	4	techniques	technique	NOUN
ejpam-3308	1	5	to	to	ADP
ejpam-3308	1	6	the	the	DET
ejpam-3308	1	7	ghanaian	ghanaian	ADJ
ejpam-3308	1	8	board	board	NOUN
ejpam-3308	1	9	game	game	NOUN
ejpam-3308	1	10	zaminamina	zaminamina	PROPN
ejpam-3308	1	11	draft	draft	VERB
ejpam-3308	1	12	european	european	ADJ
ejpam-3308	1	13	journal	journal	NOUN
ejpam-3308	1	14	of	of	ADP
ejpam-3308	1	15	pure	pure	ADJ
ejpam-3308	1	16	and	and	CCONJ
ejpam-3308	1	17	applied	apply	VERB
ejpam-3308	1	18	mathematics	mathematic	NOUN
ejpam-3308	1	19	vol	vol	NOUN
ejpam-3308	1	20	.	.	PROPN
ejpam-3308	2	1	12	12	NUM
ejpam-3308	2	2	,	,	PUNCT
ejpam-3308	2	3	no	no	INTJ
ejpam-3308	2	4	.	.	NOUN
ejpam-3308	2	5	1	1	NUM
ejpam-3308	2	6	,	,	PUNCT
ejpam-3308	2	7	2019	2019	NUM
ejpam-3308	2	8	,	,	PUNCT
ejpam-3308	2	9	159	159	NUM
ejpam-3308	2	10	-	-	SYM
ejpam-3308	2	11	175	175	NUM
ejpam-3308	2	12	issn	issn	PROPN
ejpam-3308	2	13	1307	1307	NUM
ejpam-3308	2	14	-	-	SYM
ejpam-3308	2	15	5543	5543	NUM
ejpam-3308	2	16	–	–	PUNCT
ejpam-3308	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3308	2	18	published	publish	VERB
ejpam-3308	2	19	by	by	ADP
ejpam-3308	2	20	new	new	PROPN
ejpam-3308	2	21	york	york	PROPN
ejpam-3308	2	22	business	business	PROPN
ejpam-3308	2	23	global	global	ADJ
ejpam-3308	2	24	application	application	NOUN
ejpam-3308	2	25	of	of	ADP
ejpam-3308	2	26	combinatorial	combinatorial	ADJ
ejpam-3308	2	27	techniques	technique	NOUN
ejpam-3308	2	28	to	to	ADP
ejpam-3308	2	29	the	the	DET
ejpam-3308	2	30	ghanaian	ghanaian	ADJ
ejpam-3308	2	31	board	board	NOUN
ejpam-3308	2	32	game	game	NOUN
ejpam-3308	2	33	zaminamina	zaminamina	PROPN
ejpam-3308	2	34	draft	draft	VERB
ejpam-3308	2	35	elvis	elvis	PROPN
ejpam-3308	2	36	k.	k.	PROPN
ejpam-3308	2	37	donkoh1,∗	donkoh1,∗	PROPN
ejpam-3308	2	38	,	,	PUNCT
ejpam-3308	2	39	rebecca	rebecca	PROPN
ejpam-3308	2	40	davis2	davis2	PROPN
ejpam-3308	2	41	,	,	PUNCT
ejpam-3308	2	42	emmanuel	emmanuel	PROPN
ejpam-3308	2	43	d.j	d.j	PROPN
ejpam-3308	2	44	owusu	owusu	PROPN
ejpam-3308	2	45	-	-	PROPN
ejpam-3308	2	46	ansah3	ansah3	PROPN
ejpam-3308	2	47	,	,	PUNCT
ejpam-3308	2	48	emmanuel	emmanuel	PROPN
ejpam-3308	2	49	a.	a.	PROPN
ejpam-3308	2	50	antwi1	antwi1	PROPN
ejpam-3308	2	51	,	,	PUNCT
ejpam-3308	2	52	michael	michael	PROPN
ejpam-3308	2	53	mensah1	mensah1	PROPN
ejpam-3308	2	54	1	1	NUM
ejpam-3308	2	55	school	school	NOUN
ejpam-3308	2	56	of	of	ADP
ejpam-3308	2	57	sciences	science	NOUN
ejpam-3308	2	58	,	,	PUNCT
ejpam-3308	2	59	department	department	NOUN
ejpam-3308	2	60	of	of	ADP
ejpam-3308	2	61	mathematics	mathematics	PROPN
ejpam-3308	2	62	&	&	CCONJ
ejpam-3308	2	63	statistics	statistics	PROPN
ejpam-3308	2	64	,	,	PUNCT
ejpam-3308	2	65	university	university	NOUN
ejpam-3308	2	66	of	of	ADP
ejpam-3308	2	67	energy	energy	NOUN
ejpam-3308	2	68	&	&	CCONJ
ejpam-3308	2	69	natural	natural	ADJ
ejpam-3308	2	70	resources	resource	NOUN
ejpam-3308	2	71	,	,	PUNCT
ejpam-3308	2	72	box	box	NOUN
ejpam-3308	2	73	214	214	NUM
ejpam-3308	2	74	,	,	PUNCT
ejpam-3308	2	75	sunyani	sunyani	PROPN
ejpam-3308	2	76	,	,	PUNCT
ejpam-3308	2	77	ghana	ghana	PROPN
ejpam-3308	2	78	2	2	NUM
ejpam-3308	2	79	department	department	NOUN
ejpam-3308	2	80	of	of	ADP
ejpam-3308	2	81	mathematical	mathematical	ADJ
ejpam-3308	2	82	&	&	CCONJ
ejpam-3308	2	83	actuarial	actuarial	ADJ
ejpam-3308	2	84	science	science	NOUN
ejpam-3308	2	85	,	,	PUNCT
ejpam-3308	2	86	box	box	PROPN
ejpam-3308	2	87	kn1739	kn1739	PROPN
ejpam-3308	2	88	,	,	PUNCT
ejpam-3308	2	89	accra	accra	PROPN
ejpam-3308	2	90	,	,	PUNCT
ejpam-3308	2	91	ghana	ghana	PROPN
ejpam-3308	2	92	pentecost	pentecost	PROPN
ejpam-3308	2	93	university	university	PROPN
ejpam-3308	2	94	college	college	PROPN
ejpam-3308	2	95	,	,	PUNCT
ejpam-3308	2	96	ghana	ghana	PROPN
ejpam-3308	2	97	3	3	NUM
ejpam-3308	2	98	department	department	NOUN
ejpam-3308	2	99	of	of	ADP
ejpam-3308	2	100	mathematics	mathematics	PROPN
ejpam-3308	2	101	,	,	PUNCT
ejpam-3308	2	102	kwame	kwame	PROPN
ejpam-3308	2	103	nkrumah	nkrumah	PROPN
ejpam-3308	2	104	university	university	PROPN
ejpam-3308	2	105	of	of	ADP
ejpam-3308	2	106	science	science	PROPN
ejpam-3308	2	107	&	&	CCONJ
ejpam-3308	2	108	technology	technology	PROPN
ejpam-3308	2	109	,	,	PUNCT
ejpam-3308	2	110	kumasi	kumasi	PROPN
ejpam-3308	2	111	,	,	PUNCT
ejpam-3308	2	112	ghana	ghana	PROPN
ejpam-3308	2	113	abstract	abstract	PROPN
ejpam-3308	2	114	.	.	PUNCT
ejpam-3308	3	1	games	game	NOUN
ejpam-3308	3	2	happen	happen	VERB
ejpam-3308	3	3	to	to	PART
ejpam-3308	3	4	be	be	AUX
ejpam-3308	3	5	a	a	DET
ejpam-3308	3	6	part	part	NOUN
ejpam-3308	3	7	of	of	ADP
ejpam-3308	3	8	our	our	PRON
ejpam-3308	3	9	contemporary	contemporary	ADJ
ejpam-3308	3	10	culture	culture	NOUN
ejpam-3308	3	11	and	and	CCONJ
ejpam-3308	3	12	way	way	NOUN
ejpam-3308	3	13	of	of	ADP
ejpam-3308	3	14	life	life	NOUN
ejpam-3308	3	15	.	.	PUNCT
ejpam-3308	4	1	often	often	ADV
ejpam-3308	4	2	mathematical	mathematical	ADJ
ejpam-3308	4	3	models	model	NOUN
ejpam-3308	4	4	of	of	ADP
ejpam-3308	4	5	conflict	conflict	NOUN
ejpam-3308	4	6	and	and	CCONJ
ejpam-3308	4	7	cooperation	cooperation	NOUN
ejpam-3308	4	8	between	between	ADP
ejpam-3308	4	9	intelligent	intelligent	ADJ
ejpam-3308	4	10	rational	rational	ADJ
ejpam-3308	4	11	decision	decision	NOUN
ejpam-3308	4	12	-	-	PUNCT
ejpam-3308	4	13	makers	maker	NOUN
ejpam-3308	4	14	are	be	AUX
ejpam-3308	4	15	studied	study	VERB
ejpam-3308	4	16	in	in	ADP
ejpam-3308	4	17	these	these	DET
ejpam-3308	4	18	games	game	NOUN
ejpam-3308	4	19	.	.	PUNCT
ejpam-3308	5	1	example	example	NOUN
ejpam-3308	5	2	is	be	AUX
ejpam-3308	5	3	the	the	DET
ejpam-3308	5	4	african	african	ADJ
ejpam-3308	5	5	board	board	NOUN
ejpam-3308	5	6	game	game	NOUN
ejpam-3308	5	7	’	'	PUNCT
ejpam-3308	5	8	zaminamina	zaminamina	PROPN
ejpam-3308	5	9	draft	draft	NOUN
ejpam-3308	5	10	’	'	PUNCT
ejpam-3308	5	11	which	which	PRON
ejpam-3308	5	12	is	be	AUX
ejpam-3308	5	13	often	often	ADV
ejpam-3308	5	14	guided	guide	VERB
ejpam-3308	5	15	by	by	ADP
ejpam-3308	5	16	combinatorial	combinatorial	ADJ
ejpam-3308	5	17	strategies	strategy	NOUN
ejpam-3308	5	18	and	and	CCONJ
ejpam-3308	5	19	techniques	technique	NOUN
ejpam-3308	5	20	for	for	ADP
ejpam-3308	5	21	winning	win	VERB
ejpam-3308	5	22	.	.	PUNCT
ejpam-3308	6	1	in	in	ADP
ejpam-3308	6	2	this	this	DET
ejpam-3308	6	3	paper	paper	NOUN
ejpam-3308	6	4	we	we	PRON
ejpam-3308	6	5	deduce	deduce	VERB
ejpam-3308	6	6	an	an	DET
ejpam-3308	6	7	intelligent	intelligent	ADJ
ejpam-3308	6	8	mathematical	mathematical	ADJ
ejpam-3308	6	9	technique	technique	NOUN
ejpam-3308	6	10	for	for	ADP
ejpam-3308	6	11	playing	play	VERB
ejpam-3308	6	12	a	a	DET
ejpam-3308	6	13	winning	win	VERB
ejpam-3308	6	14	game	game	NOUN
ejpam-3308	6	15	.	.	PUNCT
ejpam-3308	7	1	two	two	NUM
ejpam-3308	7	2	different	different	ADJ
ejpam-3308	7	3	starting	starting	NOUN
ejpam-3308	7	4	strategies	strategy	NOUN
ejpam-3308	7	5	were	be	AUX
ejpam-3308	7	6	formulated	formulate	VERB
ejpam-3308	7	7	;	;	PUNCT
ejpam-3308	7	8	center	center	NOUN
ejpam-3308	7	9	starting	starting	NOUN
ejpam-3308	7	10	and	and	CCONJ
ejpam-3308	7	11	edge	edge	NOUN
ejpam-3308	7	12	or	or	CCONJ
ejpam-3308	7	13	vertex	vertex	NOUN
ejpam-3308	7	14	starting	starting	NOUN
ejpam-3308	7	15	.	.	PUNCT
ejpam-3308	8	1	the	the	DET
ejpam-3308	8	2	results	result	NOUN
ejpam-3308	8	3	were	be	AUX
ejpam-3308	8	4	distorted	distort	VERB
ejpam-3308	8	5	into	into	ADP
ejpam-3308	8	6	a	a	DET
ejpam-3308	8	7	3x3	3x3	NUM
ejpam-3308	8	8	matrix	matrix	NOUN
ejpam-3308	8	9	and	and	CCONJ
ejpam-3308	8	10	elementary	elementary	ADJ
ejpam-3308	8	11	row	row	NOUN
ejpam-3308	8	12	operations	operation	NOUN
ejpam-3308	8	13	were	be	AUX
ejpam-3308	8	14	performed	perform	VERB
ejpam-3308	8	15	to	to	PART
ejpam-3308	8	16	establish	establish	VERB
ejpam-3308	8	17	all	all	DET
ejpam-3308	8	18	possible	possible	ADJ
ejpam-3308	8	19	wins	win	NOUN
ejpam-3308	8	20	.	.	PUNCT
ejpam-3308	9	1	matlab	matlab	PROPN
ejpam-3308	9	2	was	be	AUX
ejpam-3308	9	3	used	use	VERB
ejpam-3308	9	4	to	to	PART
ejpam-3308	9	5	distort	distort	VERB
ejpam-3308	9	6	the	the	DET
ejpam-3308	9	7	matrix	matrix	NOUN
ejpam-3308	9	8	to	to	PART
ejpam-3308	9	9	determine	determine	VERB
ejpam-3308	9	10	the	the	DET
ejpam-3308	9	11	diagonal	diagonal	ADJ
ejpam-3308	9	12	wins	win	NOUN
ejpam-3308	9	13	.	.	PUNCT
ejpam-3308	10	1	a	a	DET
ejpam-3308	10	2	program	program	NOUN
ejpam-3308	10	3	was	be	AUX
ejpam-3308	10	4	written	write	VERB
ejpam-3308	10	5	using	use	VERB
ejpam-3308	10	6	python	python	NOUN
ejpam-3308	10	7	in	in	ADP
ejpam-3308	10	8	artificial	artificial	ADJ
ejpam-3308	10	9	intelligence	intelligence	NOUN
ejpam-3308	10	10	(	(	PUNCT
ejpam-3308	10	11	ai	ai	NOUN
ejpam-3308	10	12	)	)	PUNCT
ejpam-3308	10	13	to	to	PART
ejpam-3308	10	14	help	help	VERB
ejpam-3308	10	15	in	in	ADP
ejpam-3308	10	16	playing	play	VERB
ejpam-3308	10	17	optimally	optimally	ADV
ejpam-3308	10	18	.	.	PUNCT
ejpam-3308	11	1	key	key	ADJ
ejpam-3308	11	2	words	word	NOUN
ejpam-3308	11	3	and	and	CCONJ
ejpam-3308	11	4	phrases	phrase	NOUN
ejpam-3308	11	5	:	:	PUNCT
ejpam-3308	11	6	zaminamina	zaminamina	PROPN
ejpam-3308	11	7	draft	draft	PROPN
ejpam-3308	11	8	,	,	PUNCT
ejpam-3308	11	9	games	game	NOUN
ejpam-3308	11	10	,	,	PUNCT
ejpam-3308	11	11	combinatorics	combinatoric	NOUN
ejpam-3308	11	12	,	,	PUNCT
ejpam-3308	11	13	player	player	NOUN
ejpam-3308	11	14	,	,	PUNCT
ejpam-3308	11	15	strategies	strategy	NOUN
ejpam-3308	11	16	1	1	NUM
ejpam-3308	11	17	.	.	X
ejpam-3308	11	18	introduction	introduction	NOUN
ejpam-3308	11	19	a	a	DET
ejpam-3308	11	20	game	game	NOUN
ejpam-3308	11	21	is	be	AUX
ejpam-3308	11	22	any	any	DET
ejpam-3308	11	23	activity	activity	NOUN
ejpam-3308	11	24	that	that	PRON
ejpam-3308	11	25	involves	involve	VERB
ejpam-3308	11	26	different	different	ADJ
ejpam-3308	11	27	players	player	NOUN
ejpam-3308	11	28	who	who	PRON
ejpam-3308	11	29	aim	aim	VERB
ejpam-3308	11	30	at	at	ADP
ejpam-3308	11	31	satisfying	satisfy	VERB
ejpam-3308	11	32	their	their	PRON
ejpam-3308	11	33	desire	desire	NOUN
ejpam-3308	11	34	to	to	PART
ejpam-3308	11	35	win	win	VERB
ejpam-3308	11	36	with	with	ADP
ejpam-3308	11	37	set	set	VERB
ejpam-3308	11	38	rules	rule	NOUN
ejpam-3308	11	39	and	and	CCONJ
ejpam-3308	11	40	principles	principle	NOUN
ejpam-3308	11	41	guiding	guide	VERB
ejpam-3308	11	42	it	it	PRON
ejpam-3308	11	43	.	.	PUNCT
ejpam-3308	12	1	it	it	PRON
ejpam-3308	12	2	include	include	VERB
ejpam-3308	12	3	indigenous	indigenous	ADJ
ejpam-3308	12	4	ghanaian	ghanaian	ADJ
ejpam-3308	12	5	games	game	NOUN
ejpam-3308	12	6	like	like	ADP
ejpam-3308	12	7	ampe	ampe	NOUN
ejpam-3308	12	8	,	,	PUNCT
ejpam-3308	12	9	pampanaa	pampanaa	NOUN
ejpam-3308	12	10	,	,	PUNCT
ejpam-3308	12	11	oware	oware	ADJ
ejpam-3308	12	12	,	,	PUNCT
ejpam-3308	12	13	pempenaa	pempenaa	NOUN
ejpam-3308	12	14	,	,	PUNCT
ejpam-3308	12	15	pi	pi	PROPN
ejpam-3308	12	16	lolo	lolo	PROPN
ejpam-3308	12	17	,	,	PUNCT
ejpam-3308	12	18	alikoto	alikoto	PROPN
ejpam-3308	12	19	,	,	PUNCT
ejpam-3308	12	20	zanzama	zanzama	NOUN
ejpam-3308	12	21	,	,	PUNCT
ejpam-3308	12	22	sansankroma	sansankroma	PROPN
ejpam-3308	12	23	,	,	PUNCT
ejpam-3308	12	24	kyemper	kyemper	PROPN
ejpam-3308	12	25	,	,	PUNCT
ejpam-3308	12	26	adwoa	adwoa	VERB
ejpam-3308	12	27	ata	ata	INTJ
ejpam-3308	12	28	and	and	CCONJ
ejpam-3308	12	29	many	many	ADJ
ejpam-3308	12	30	others[1	others[1	NOUN
ejpam-3308	12	31	]	]	PUNCT
ejpam-3308	12	32	.	.	PUNCT
ejpam-3308	13	1	these	these	DET
ejpam-3308	13	2	traditional	traditional	ADJ
ejpam-3308	13	3	games	game	NOUN
ejpam-3308	13	4	,	,	PUNCT
ejpam-3308	13	5	in	in	ADP
ejpam-3308	13	6	past	past	ADJ
ejpam-3308	13	7	times	time	NOUN
ejpam-3308	13	8	were	be	AUX
ejpam-3308	13	9	held	hold	VERB
ejpam-3308	13	10	in	in	ADP
ejpam-3308	13	11	high	high	ADJ
ejpam-3308	13	12	esteem	esteem	NOUN
ejpam-3308	13	13	by	by	ADP
ejpam-3308	13	14	both	both	CCONJ
ejpam-3308	13	15	the	the	DET
ejpam-3308	13	16	aged	aged	ADJ
ejpam-3308	13	17	and	and	CCONJ
ejpam-3308	13	18	the	the	DET
ejpam-3308	13	19	young	young	ADJ
ejpam-3308	13	20	in	in	ADP
ejpam-3308	13	21	our	our	PRON
ejpam-3308	13	22	society	society	NOUN
ejpam-3308	13	23	.	.	PUNCT
ejpam-3308	14	1	today	today	NOUN
ejpam-3308	14	2	,	,	PUNCT
ejpam-3308	14	3	it	it	PRON
ejpam-3308	14	4	is	be	AUX
ejpam-3308	14	5	arguably	arguably	ADV
ejpam-3308	14	6	true	true	ADJ
ejpam-3308	14	7	,	,	PUNCT
ejpam-3308	14	8	that	that	SCONJ
ejpam-3308	14	9	such	such	ADJ
ejpam-3308	14	10	traditional	traditional	ADJ
ejpam-3308	14	11	games	game	NOUN
ejpam-3308	14	12	are	be	AUX
ejpam-3308	14	13	gradually	gradually	ADV
ejpam-3308	14	14	on	on	ADP
ejpam-3308	14	15	the	the	DET
ejpam-3308	14	16	decline	decline	NOUN
ejpam-3308	14	17	and	and	CCONJ
ejpam-3308	14	18	being	be	AUX
ejpam-3308	14	19	replaced	replace	VERB
ejpam-3308	14	20	with	with	ADP
ejpam-3308	14	21	computer	computer	NOUN
ejpam-3308	14	22	aged	age	VERB
ejpam-3308	14	23	games	game	NOUN
ejpam-3308	14	24	like	like	ADP
ejpam-3308	14	25	rubiks	rubiks	PROPN
ejpam-3308	14	26	cube	cube	NOUN
ejpam-3308	14	27	,	,	PUNCT
ejpam-3308	14	28	brick	brick	NOUN
ejpam-3308	14	29	game	game	NOUN
ejpam-3308	14	30	,	,	PUNCT
ejpam-3308	14	31	super	super	ADJ
ejpam-3308	14	32	mario	mario	PROPN
ejpam-3308	14	33	,	,	PUNCT
ejpam-3308	14	34	and	and	CCONJ
ejpam-3308	14	35	the	the	DET
ejpam-3308	14	36	countless	countless	ADJ
ejpam-3308	14	37	face	face	NOUN
ejpam-3308	14	38	book	book	NOUN
ejpam-3308	14	39	games	game	NOUN
ejpam-3308	14	40	.	.	PUNCT
ejpam-3308	15	1	a	a	DET
ejpam-3308	15	2	typical	typical	ADJ
ejpam-3308	15	3	example	example	NOUN
ejpam-3308	15	4	is	be	AUX
ejpam-3308	15	5	the	the	DET
ejpam-3308	15	6	zaminamina	zaminamina	PROPN
ejpam-3308	15	7	board	board	PROPN
ejpam-3308	15	8	game	game	NOUN
ejpam-3308	15	9	,	,	PUNCT
ejpam-3308	15	10	a	a	DET
ejpam-3308	15	11	traditional	traditional	ADJ
ejpam-3308	15	12	ghanaian	ghanaian	ADJ
ejpam-3308	15	13	board	board	NOUN
ejpam-3308	15	14	game	game	NOUN
ejpam-3308	15	15	that	that	PRON
ejpam-3308	15	16	is	be	AUX
ejpam-3308	15	17	drawn	draw	VERB
ejpam-3308	15	18	using	use	VERB
ejpam-3308	15	19	pen	pen	NOUN
ejpam-3308	15	20	on	on	ADP
ejpam-3308	15	21	a	a	DET
ejpam-3308	15	22	paper	paper	NOUN
ejpam-3308	15	23	with	with	ADP
ejpam-3308	15	24	different	different	ADJ
ejpam-3308	15	25	items	item	NOUN
ejpam-3308	15	26	that	that	PRON
ejpam-3308	15	27	are	be	AUX
ejpam-3308	15	28	used	use	VERB
ejpam-3308	15	29	to	to	ADP
ejpam-3308	15	30	∗corresponding	∗corresponde	VERB
ejpam-3308	15	31	author	author	NOUN
ejpam-3308	15	32	.	.	PUNCT
ejpam-3308	16	1	doi	doi	NOUN
ejpam-3308	16	2	:	:	PUNCT
ejpam-3308	16	3	https://doi.org/10.29020/nybg.ejpam.v12i1.3308	https://doi.org/10.29020/nybg.ejpam.v12i1.3308	ADP
ejpam-3308	16	4	email	email	NOUN
ejpam-3308	16	5	address	address	NOUN
ejpam-3308	16	6	:	:	PUNCT
ejpam-3308	16	7	elvis.donkor@uenr.edu.gh	elvis.donkor@uenr.edu.gh	PROPN
ejpam-3308	16	8	(	(	PUNCT
ejpam-3308	16	9	e.	e.	PROPN
ejpam-3308	16	10	k.	k.	PROPN
ejpam-3308	16	11	donkoh	donkoh	PROPN
ejpam-3308	16	12	)	)	PUNCT
ejpam-3308	16	13	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3308	17	1	159	159	NUM
ejpam-3308	17	2	c	c	NOUN
ejpam-3308	17	3	©	©	PROPN
ejpam-3308	17	4	2019	2019	NUM
ejpam-3308	17	5	ejpam	ejpam	NOUN
ejpam-3308	17	6	all	all	DET
ejpam-3308	17	7	rights	right	NOUN
ejpam-3308	17	8	reserved	reserve	VERB
ejpam-3308	17	9	.	.	PUNCT
ejpam-3308	18	1	e.	e.	PROPN
ejpam-3308	18	2	k.	k.	PROPN
ejpam-3308	18	3	donkoh	donkoh	PROPN
ejpam-3308	18	4	et	et	PROPN
ejpam-3308	18	5	al	al	PROPN
ejpam-3308	18	6	.	.	PUNCT
ejpam-3308	18	7	/	/	SYM
ejpam-3308	18	8	eur	eur	PROPN
ejpam-3308	18	9	.	.	PUNCT
ejpam-3308	19	1	j.	j.	PROPN
ejpam-3308	19	2	pure	pure	PROPN
ejpam-3308	19	3	appl	appl	PROPN
ejpam-3308	19	4	.	.	PROPN
ejpam-3308	19	5	math	math	PROPN
ejpam-3308	19	6	,	,	PUNCT
ejpam-3308	19	7	12	12	NUM
ejpam-3308	19	8	(	(	PUNCT
ejpam-3308	19	9	1	1	NUM
ejpam-3308	19	10	)	)	PUNCT
ejpam-3308	19	11	(	(	PUNCT
ejpam-3308	19	12	2019	2019	NUM
ejpam-3308	19	13	)	)	PUNCT
ejpam-3308	19	14	,	,	PUNCT
ejpam-3308	19	15	159	159	NUM
ejpam-3308	19	16	-	-	SYM
ejpam-3308	19	17	175	175	NUM
ejpam-3308	19	18	160	160	NUM
ejpam-3308	19	19	identify	identify	VERB
ejpam-3308	19	20	both	both	DET
ejpam-3308	19	21	players	player	NOUN
ejpam-3308	19	22	.	.	PUNCT
ejpam-3308	20	1	example	example	NOUN
ejpam-3308	20	2	,	,	PUNCT
ejpam-3308	20	3	player	player	NOUN
ejpam-3308	20	4	o	o	X
ejpam-3308	20	5	(	(	PUNCT
ejpam-3308	20	6	noughts	noughts	PROPN
ejpam-3308	20	7	)	)	PUNCT
ejpam-3308	20	8	and	and	CCONJ
ejpam-3308	20	9	player	player	NOUN
ejpam-3308	20	10	x	x	INTJ
ejpam-3308	20	11	(	(	PUNCT
ejpam-3308	20	12	crosses	crosse	NOUN
ejpam-3308	20	13	)	)	PUNCT
ejpam-3308	20	14	.	.	PUNCT
ejpam-3308	21	1	zaminamina	zaminamina	PROPN
ejpam-3308	21	2	draft	draft	NOUN
ejpam-3308	21	3	is	be	AUX
ejpam-3308	21	4	a	a	DET
ejpam-3308	21	5	term	term	NOUN
ejpam-3308	21	6	used	use	VERB
ejpam-3308	21	7	in	in	ADP
ejpam-3308	21	8	ghana	ghana	PROPN
ejpam-3308	21	9	to	to	PART
ejpam-3308	21	10	refer	refer	VERB
ejpam-3308	21	11	to	to	ADP
ejpam-3308	21	12	draft	draft	NOUN
ejpam-3308	21	13	originated	originate	VERB
ejpam-3308	21	14	and	and	CCONJ
ejpam-3308	21	15	played	play	VERB
ejpam-3308	21	16	by	by	ADP
ejpam-3308	21	17	the	the	DET
ejpam-3308	21	18	moslems	moslem	NOUN
ejpam-3308	21	19	or	or	CCONJ
ejpam-3308	21	20	the	the	DET
ejpam-3308	21	21	fulani	fulani	PROPN
ejpam-3308	21	22	.	.	PUNCT
ejpam-3308	22	1	the	the	DET
ejpam-3308	22	2	game	game	NOUN
ejpam-3308	22	3	which	which	PRON
ejpam-3308	22	4	uses	use	VERB
ejpam-3308	22	5	a	a	DET
ejpam-3308	22	6	combination	combination	NOUN
ejpam-3308	22	7	of	of	ADP
ejpam-3308	22	8	tricks	trick	NOUN
ejpam-3308	22	9	that	that	PRON
ejpam-3308	22	10	is	be	AUX
ejpam-3308	22	11	essential	essential	ADJ
ejpam-3308	22	12	part	part	NOUN
ejpam-3308	22	13	of	of	ADP
ejpam-3308	22	14	the	the	DET
ejpam-3308	22	15	combinatorial	combinatorial	ADJ
ejpam-3308	22	16	game	game	NOUN
ejpam-3308	22	17	theory	theory	NOUN
ejpam-3308	22	18	is	be	AUX
ejpam-3308	22	19	similar	similar	ADJ
ejpam-3308	22	20	to	to	ADP
ejpam-3308	22	21	shisima	shisima	NOUN
ejpam-3308	22	22	from	from	ADP
ejpam-3308	22	23	kenya	kenya	PROPN
ejpam-3308	22	24	,	,	PUNCT
ejpam-3308	22	25	tapatan	tapatan	PROPN
ejpam-3308	22	26	from	from	ADP
ejpam-3308	22	27	philippines	philippine	NOUN
ejpam-3308	22	28	,	,	PUNCT
ejpam-3308	22	29	tsoro	tsoro	PROPN
ejpam-3308	22	30	yematatu	yematatu	PROPN
ejpam-3308	22	31	from	from	ADP
ejpam-3308	22	32	zimbabwe	zimbabwe	PROPN
ejpam-3308	22	33	,	,	PUNCT
ejpam-3308	22	34	picaria	picaria	NOUN
ejpam-3308	22	35	from	from	ADP
ejpam-3308	22	36	native	native	PROPN
ejpam-3308	22	37	america	america	PROPN
ejpam-3308	22	38	,	,	PUNCT
ejpam-3308	22	39	nerenchi	nerenchi	NOUN
ejpam-3308	22	40	from	from	ADP
ejpam-3308	22	41	sri	sri	PROPN
ejpam-3308	22	42	lanka	lanka	PROPN
ejpam-3308	22	43	,	,	PUNCT
ejpam-3308	22	44	dara	dara	PROPN
ejpam-3308	22	45	from	from	ADP
ejpam-3308	22	46	nigeria	nigeria	PROPN
ejpam-3308	22	47	,	,	PUNCT
ejpam-3308	22	48	mu	mu	PROPN
ejpam-3308	22	49	torere	torere	ADV
ejpam-3308	22	50	from	from	ADP
ejpam-3308	22	51	new	new	PROPN
ejpam-3308	22	52	zealand	zealand	PROPN
ejpam-3308	22	53	among	among	ADP
ejpam-3308	22	54	others	other	NOUN
ejpam-3308	22	55	[	[	X
ejpam-3308	22	56	1a	1a	X
ejpam-3308	22	57	]	]	X
ejpam-3308	22	58	.	.	PUNCT
ejpam-3308	23	1	the	the	DET
ejpam-3308	23	2	game	game	NOUN
ejpam-3308	23	3	differs	differ	VERB
ejpam-3308	23	4	from	from	ADP
ejpam-3308	23	5	the	the	DET
ejpam-3308	23	6	rest	rest	NOUN
ejpam-3308	23	7	by	by	ADP
ejpam-3308	23	8	it	it	PRON
ejpam-3308	23	9	3x3	3x3	NUM
ejpam-3308	23	10	square	square	ADJ
ejpam-3308	23	11	nature	nature	NOUN
ejpam-3308	23	12	.	.	PUNCT
ejpam-3308	24	1	as	as	ADP
ejpam-3308	24	2	in	in	ADP
ejpam-3308	24	3	other	other	ADJ
ejpam-3308	24	4	cultures	culture	NOUN
ejpam-3308	24	5	it	it	PRON
ejpam-3308	24	6	is	be	AUX
ejpam-3308	24	7	designed	design	VERB
ejpam-3308	24	8	as	as	ADP
ejpam-3308	24	9	a	a	DET
ejpam-3308	24	10	4x4	4x4	NUM
ejpam-3308	24	11	grid	grid	NOUN
ejpam-3308	24	12	,	,	PUNCT
ejpam-3308	24	13	an	an	DET
ejpam-3308	24	14	isosceles	isoscele	NOUN
ejpam-3308	24	15	triangle	triangle	VERB
ejpam-3308	24	16	with	with	ADP
ejpam-3308	24	17	a	a	DET
ejpam-3308	24	18	line	line	NOUN
ejpam-3308	24	19	of	of	ADP
ejpam-3308	24	20	symmetry	symmetry	NOUN
ejpam-3308	24	21	and	and	CCONJ
ejpam-3308	24	22	a	a	DET
ejpam-3308	24	23	mid	mid	ADJ
ejpam-3308	24	24	point	point	NOUN
ejpam-3308	24	25	line	line	NOUN
ejpam-3308	24	26	or	or	CCONJ
ejpam-3308	24	27	an	an	DET
ejpam-3308	24	28	eight	eight	NUM
ejpam-3308	24	29	-	-	PUNCT
ejpam-3308	24	30	star	star	NOUN
ejpam-3308	24	31	inscribed	inscribe	VERB
ejpam-3308	24	32	in	in	ADP
ejpam-3308	24	33	a	a	DET
ejpam-3308	24	34	circle	circle	NOUN
ejpam-3308	24	35	.	.	PUNCT
ejpam-3308	25	1	it	it	PRON
ejpam-3308	25	2	is	be	AUX
ejpam-3308	25	3	commonly	commonly	ADV
ejpam-3308	25	4	known	know	VERB
ejpam-3308	25	5	in	in	ADP
ejpam-3308	25	6	north	north	PROPN
ejpam-3308	25	7	america	america	PROPN
ejpam-3308	25	8	as	as	ADP
ejpam-3308	25	9	the	the	DET
ejpam-3308	25	10	tic	tic	NOUN
ejpam-3308	25	11	-	-	PUNCT
ejpam-3308	25	12	tac	tac	NOUN
ejpam-3308	25	13	-	-	NOUN
ejpam-3308	25	14	toe	toe	NOUN
ejpam-3308	25	15	.	.	PUNCT
ejpam-3308	26	1	the	the	DET
ejpam-3308	26	2	zaminimina	zaminimina	PROPN
ejpam-3308	26	3	board	board	PROPN
ejpam-3308	26	4	game	game	NOUN
ejpam-3308	26	5	is	be	AUX
ejpam-3308	26	6	played	play	VERB
ejpam-3308	26	7	for	for	ADP
ejpam-3308	26	8	fun	fun	NOUN
ejpam-3308	26	9	,	,	PUNCT
ejpam-3308	26	10	meanwhile	meanwhile	ADV
ejpam-3308	26	11	it	it	PRON
ejpam-3308	26	12	can	can	AUX
ejpam-3308	26	13	be	be	AUX
ejpam-3308	26	14	the	the	DET
ejpam-3308	26	15	very	very	ADJ
ejpam-3308	26	16	basis	basis	NOUN
ejpam-3308	26	17	for	for	SCONJ
ejpam-3308	26	18	kids	kid	NOUN
ejpam-3308	26	19	to	to	PART
ejpam-3308	26	20	embrace	embrace	VERB
ejpam-3308	26	21	mathematical	mathematical	ADJ
ejpam-3308	26	22	knowledge	knowledge	NOUN
ejpam-3308	26	23	and	and	CCONJ
ejpam-3308	26	24	strong	strong	ADJ
ejpam-3308	26	25	logical	logical	ADJ
ejpam-3308	26	26	foundation	foundation	NOUN
ejpam-3308	26	27	when	when	SCONJ
ejpam-3308	26	28	clearly	clearly	ADV
ejpam-3308	26	29	defined	define	VERB
ejpam-3308	26	30	and	and	CCONJ
ejpam-3308	26	31	modeled	model	VERB
ejpam-3308	26	32	with	with	ADP
ejpam-3308	26	33	mathematics	mathematic	NOUN
ejpam-3308	26	34	.	.	PUNCT
ejpam-3308	27	1	it	it	PRON
ejpam-3308	27	2	is	be	AUX
ejpam-3308	27	3	on	on	ADP
ejpam-3308	27	4	these	these	DET
ejpam-3308	27	5	grounds	ground	NOUN
ejpam-3308	27	6	that	that	SCONJ
ejpam-3308	27	7	this	this	DET
ejpam-3308	27	8	research	research	NOUN
ejpam-3308	27	9	was	be	AUX
ejpam-3308	27	10	conducted	conduct	VERB
ejpam-3308	27	11	to	to	PART
ejpam-3308	27	12	unveil	unveil	VERB
ejpam-3308	27	13	the	the	DET
ejpam-3308	27	14	mathematical	mathematical	ADJ
ejpam-3308	27	15	concepts	concept	NOUN
ejpam-3308	27	16	behind	behind	ADP
ejpam-3308	27	17	the	the	DET
ejpam-3308	27	18	game	game	NOUN
ejpam-3308	27	19	.	.	PUNCT
ejpam-3308	28	1	2	2	X
ejpam-3308	28	2	.	.	X
ejpam-3308	28	3	related	relate	VERB
ejpam-3308	28	4	literature	literature	PROPN
ejpam-3308	28	5	traditional	traditional	PROPN
ejpam-3308	28	6	board	board	PROPN
ejpam-3308	28	7	games	game	NOUN
ejpam-3308	28	8	vary	vary	VERB
ejpam-3308	28	9	in	in	ADP
ejpam-3308	28	10	size	size	NOUN
ejpam-3308	28	11	,	,	PUNCT
ejpam-3308	28	12	players	player	NOUN
ejpam-3308	28	13	,	,	PUNCT
ejpam-3308	28	14	seeds	seed	NOUN
ejpam-3308	28	15	(	(	PUNCT
ejpam-3308	28	16	marbles	marble	NOUN
ejpam-3308	28	17	)	)	PUNCT
ejpam-3308	28	18	and	and	CCONJ
ejpam-3308	28	19	strategies	strategy	NOUN
ejpam-3308	28	20	.	.	PUNCT
ejpam-3308	29	1	several	several	ADJ
ejpam-3308	29	2	games	game	NOUN
ejpam-3308	29	3	have	have	AUX
ejpam-3308	29	4	evolved	evolve	VERB
ejpam-3308	29	5	from	from	ADP
ejpam-3308	29	6	action	action	NOUN
ejpam-3308	29	7	and	and	CCONJ
ejpam-3308	29	8	adventures	adventure	NOUN
ejpam-3308	29	9	,	,	PUNCT
ejpam-3308	29	10	soccer	soccer	NOUN
ejpam-3308	29	11	,	,	PUNCT
ejpam-3308	29	12	puzzle	puzzle	NOUN
ejpam-3308	29	13	games	game	NOUN
ejpam-3308	29	14	,	,	PUNCT
ejpam-3308	29	15	two	two	NUM
ejpam-3308	29	16	-	-	PUNCT
ejpam-3308	29	17	person	person	NOUN
ejpam-3308	29	18	zerosum	zerosum	PROPN
ejpam-3308	29	19	games	games	PROPN
ejpam-3308	29	20	etc	etc	X
ejpam-3308	29	21	.	.	X
ejpam-3308	29	22	of	of	ADP
ejpam-3308	29	23	which	which	PRON
ejpam-3308	29	24	zaminamina	zaminamina	NOUN
ejpam-3308	29	25	draft	draft	NOUN
ejpam-3308	29	26	game	game	NOUN
ejpam-3308	29	27	happens	happen	VERB
ejpam-3308	29	28	to	to	PART
ejpam-3308	29	29	be	be	AUX
ejpam-3308	29	30	a	a	DET
ejpam-3308	29	31	two	two	NUM
ejpam-3308	29	32	-	-	PUNCT
ejpam-3308	29	33	person	person	NOUN
ejpam-3308	29	34	zero	zero	NUM
ejpam-3308	29	35	-	-	PUNCT
ejpam-3308	29	36	sum	sum	NOUN
ejpam-3308	29	37	game	game	NOUN
ejpam-3308	29	38	.	.	PUNCT
ejpam-3308	30	1	definition	definition	NOUN
ejpam-3308	30	2	1	1	NUM
ejpam-3308	30	3	.	.	PUNCT
ejpam-3308	30	4	two	two	NUM
ejpam-3308	30	5	person	person	NOUN
ejpam-3308	30	6	zero	zero	NUM
ejpam-3308	30	7	-	-	PUNCT
ejpam-3308	30	8	sum	sum	NOUN
ejpam-3308	30	9	game	game	NOUN
ejpam-3308	30	10	involves	involve	VERB
ejpam-3308	30	11	only	only	ADV
ejpam-3308	30	12	two	two	NUM
ejpam-3308	30	13	players	player	NOUN
ejpam-3308	30	14	,	,	PUNCT
ejpam-3308	30	15	in	in	ADP
ejpam-3308	30	16	which	which	PRON
ejpam-3308	30	17	the	the	DET
ejpam-3308	30	18	gain	gain	NOUN
ejpam-3308	30	19	of	of	ADP
ejpam-3308	30	20	one	one	NUM
ejpam-3308	30	21	player	player	NOUN
ejpam-3308	30	22	equals	equal	VERB
ejpam-3308	30	23	the	the	DET
ejpam-3308	30	24	loss	loss	NOUN
ejpam-3308	30	25	(	(	PUNCT
ejpam-3308	30	26	payoffs	payoff	NOUN
ejpam-3308	30	27	)	)	PUNCT
ejpam-3308	30	28	to	to	ADP
ejpam-3308	30	29	the	the	DET
ejpam-3308	30	30	other	other	ADJ
ejpam-3308	30	31	player	player	NOUN
ejpam-3308	30	32	so	so	SCONJ
ejpam-3308	30	33	that	that	SCONJ
ejpam-3308	30	34	the	the	DET
ejpam-3308	30	35	total	total	ADJ
ejpam-3308	30	36	sum	sum	NOUN
ejpam-3308	30	37	is	be	AUX
ejpam-3308	30	38	zero	zero	NUM
ejpam-3308	30	39	.	.	PUNCT
ejpam-3308	31	1	such	such	ADJ
ejpam-3308	31	2	games	game	NOUN
ejpam-3308	31	3	ranges	range	VERB
ejpam-3308	31	4	from	from	ADP
ejpam-3308	31	5	chess	chess	NOUN
ejpam-3308	31	6	,	,	PUNCT
ejpam-3308	31	7	go	go	VERB
ejpam-3308	31	8	,	,	PUNCT
ejpam-3308	31	9	checkers	checker	NOUN
ejpam-3308	31	10	,	,	PUNCT
ejpam-3308	31	11	grown	grow	VERB
ejpam-3308	31	12	up	up	ADP
ejpam-3308	31	13	versions	version	NOUN
ejpam-3308	31	14	of	of	ADP
ejpam-3308	31	15	tic	tic	NOUN
ejpam-3308	31	16	-	-	PUNCT
ejpam-3308	31	17	tac	tac	NOUN
ejpam-3308	31	18	-	-	PUNCT
ejpam-3308	31	19	toe	toe	NOUN
ejpam-3308	31	20	games	game	NOUN
ejpam-3308	31	21	,	,	PUNCT
ejpam-3308	31	22	hex	hex	PROPN
ejpam-3308	31	23	etc	etc	X
ejpam-3308	31	24	.	.	X
ejpam-3308	31	25	which	which	PRON
ejpam-3308	31	26	gave	give	VERB
ejpam-3308	31	27	rise	rise	NOUN
ejpam-3308	31	28	to	to	ADP
ejpam-3308	31	29	combinatorial	combinatorial	ADJ
ejpam-3308	31	30	chaos	chaos	NOUN
ejpam-3308	31	31	.	.	PUNCT
ejpam-3308	32	1	2.1	2.1	NUM
ejpam-3308	32	2	.	.	PUNCT
ejpam-3308	32	3	variations	variation	NOUN
ejpam-3308	32	4	in	in	ADP
ejpam-3308	32	5	the	the	DET
ejpam-3308	32	6	zaminamina	zaminamina	PROPN
ejpam-3308	32	7	draft	draft	NOUN
ejpam-3308	32	8	game	game	NOUN
ejpam-3308	32	9	many	many	ADJ
ejpam-3308	32	10	board	board	NOUN
ejpam-3308	32	11	games	game	NOUN
ejpam-3308	32	12	share	share	VERB
ejpam-3308	32	13	the	the	DET
ejpam-3308	32	14	element	element	NOUN
ejpam-3308	32	15	of	of	ADP
ejpam-3308	32	16	trying	try	VERB
ejpam-3308	32	17	to	to	PART
ejpam-3308	32	18	be	be	AUX
ejpam-3308	32	19	the	the	DET
ejpam-3308	32	20	first	first	ADJ
ejpam-3308	32	21	to	to	PART
ejpam-3308	32	22	get	get	VERB
ejpam-3308	32	23	in	in	ADP
ejpam-3308	32	24	-	-	PUNCT
ejpam-3308	32	25	a	a	DET
ejpam-3308	32	26	-	-	PUNCT
ejpam-3308	32	27	row	row	NOUN
ejpam-3308	32	28	,	,	PUNCT
ejpam-3308	32	29	including	include	VERB
ejpam-3308	32	30	three	three	NUM
ejpam-3308	32	31	men	man	NOUN
ejpam-3308	32	32	’s	’s	PART
ejpam-3308	32	33	morris	morris	PROPN
ejpam-3308	32	34	,	,	PUNCT
ejpam-3308	32	35	nine	nine	NUM
ejpam-3308	32	36	men	man	NOUN
ejpam-3308	32	37	’s	’s	PART
ejpam-3308	32	38	morris	morris	PROPN
ejpam-3308	32	39	,	,	PUNCT
ejpam-3308	32	40	pente	pente	PROPN
ejpam-3308	32	41	,	,	PUNCT
ejpam-3308	32	42	gomoku	gomoku	NOUN
ejpam-3308	32	43	,	,	PUNCT
ejpam-3308	32	44	qubic	qubic	PROPN
ejpam-3308	32	45	,	,	PUNCT
ejpam-3308	32	46	connect	connect	VERB
ejpam-3308	32	47	four	four	NUM
ejpam-3308	32	48	,	,	PUNCT
ejpam-3308	32	49	quarto	quarto	ADJ
ejpam-3308	32	50	,	,	PUNCT
ejpam-3308	32	51	gobblet	gobblet	NOUN
ejpam-3308	32	52	,	,	PUNCT
ejpam-3308	32	53	order	order	NOUN
ejpam-3308	32	54	and	and	CCONJ
ejpam-3308	32	55	chaos	chaos	NOUN
ejpam-3308	32	56	,	,	PUNCT
ejpam-3308	32	57	toss	toss	VERB
ejpam-3308	32	58	across	across	ADP
ejpam-3308	32	59	,	,	PUNCT
ejpam-3308	32	60	and	and	CCONJ
ejpam-3308	32	61	mojo	mojo	PROPN
ejpam-3308	32	62	.	.	PUNCT
ejpam-3308	33	1	zaminimina	zaminimina	PROPN
ejpam-3308	33	2	draft	draft	NOUN
ejpam-3308	33	3	game	game	NOUN
ejpam-3308	33	4	is	be	AUX
ejpam-3308	33	5	an	an	DET
ejpam-3308	33	6	instance	instance	NOUN
ejpam-3308	33	7	of	of	ADP
ejpam-3308	33	8	an	an	DET
ejpam-3308	33	9	m	m	NOUN
ejpam-3308	33	10	,	,	PUNCT
ejpam-3308	33	11	n	n	CCONJ
ejpam-3308	33	12	,	,	PUNCT
ejpam-3308	33	13	k	k	NOUN
ejpam-3308	33	14	-	-	NOUN
ejpam-3308	33	15	game	game	NOUN
ejpam-3308	33	16	,	,	PUNCT
ejpam-3308	33	17	where	where	SCONJ
ejpam-3308	33	18	two	two	NUM
ejpam-3308	33	19	players	player	NOUN
ejpam-3308	33	20	alternate	alternate	VERB
ejpam-3308	33	21	taking	take	VERB
ejpam-3308	33	22	turns	turn	NOUN
ejpam-3308	33	23	on	on	ADP
ejpam-3308	33	24	an	an	DET
ejpam-3308	33	25	mxn	mxn	PROPN
ejpam-3308	33	26	board	board	NOUN
ejpam-3308	33	27	until	until	SCONJ
ejpam-3308	33	28	one	one	NUM
ejpam-3308	33	29	of	of	ADP
ejpam-3308	33	30	them	they	PRON
ejpam-3308	33	31	gets	get	VERB
ejpam-3308	33	32	k	k	NOUN
ejpam-3308	33	33	in	in	ADP
ejpam-3308	33	34	a	a	DET
ejpam-3308	33	35	row	row	NOUN
ejpam-3308	33	36	.	.	PUNCT
ejpam-3308	34	1	the	the	DET
ejpam-3308	34	2	zaminmina	zaminmina	PROPN
ejpam-3308	34	3	draft	draft	NOUN
ejpam-3308	34	4	game	game	NOUN
ejpam-3308	34	5	have	have	VERB
ejpam-3308	34	6	several	several	ADJ
ejpam-3308	34	7	variations	variation	NOUN
ejpam-3308	34	8	which	which	PRON
ejpam-3308	34	9	are	be	AUX
ejpam-3308	34	10	modern	modern	ADJ
ejpam-3308	34	11	computer	computer	NOUN
ejpam-3308	34	12	games	game	NOUN
ejpam-3308	34	13	that	that	PRON
ejpam-3308	34	14	can	can	AUX
ejpam-3308	34	15	be	be	AUX
ejpam-3308	34	16	traced	trace	VERB
ejpam-3308	34	17	back	back	ADV
ejpam-3308	34	18	to	to	ADP
ejpam-3308	34	19	ancient	ancient	ADJ
ejpam-3308	34	20	egypt	egypt	PROPN
ejpam-3308	34	21	.	.	PUNCT
ejpam-3308	35	1	initially	initially	ADV
ejpam-3308	35	2	called	call	VERB
ejpam-3308	35	3	tic	tic	NOUN
ejpam-3308	35	4	-	-	PUNCT
ejpam-3308	35	5	tac	tac	NOUN
ejpam-3308	35	6	-	-	PUNCT
ejpam-3308	35	7	toe	toe	NOUN
ejpam-3308	35	8	game	game	NOUN
ejpam-3308	35	9	,	,	PUNCT
ejpam-3308	35	10	it	it	PRON
ejpam-3308	35	11	was	be	AUX
ejpam-3308	35	12	played	play	VERB
ejpam-3308	35	13	by	by	ADP
ejpam-3308	35	14	the	the	DET
ejpam-3308	35	15	ancient	ancient	ADJ
ejpam-3308	35	16	egyptians	egyptians	PROPN
ejpam-3308	35	17	in	in	ADP
ejpam-3308	35	18	the	the	DET
ejpam-3308	35	19	roman	roman	ADJ
ejpam-3308	35	20	empire	empire	NOUN
ejpam-3308	35	21	,	,	PUNCT
ejpam-3308	35	22	around	around	ADP
ejpam-3308	35	23	the	the	DET
ejpam-3308	35	24	first	first	ADJ
ejpam-3308	35	25	century	century	NOUN
ejpam-3308	35	26	bc	bc	PROPN
ejpam-3308	35	27	of	of	ADP
ejpam-3308	35	28	which	which	PRON
ejpam-3308	35	29	it	it	PRON
ejpam-3308	35	30	was	be	AUX
ejpam-3308	35	31	named	name	VERB
ejpam-3308	35	32	terni	terni	PROPN
ejpam-3308	35	33	lapilli	lapilli	PROPN
ejpam-3308	35	34	(	(	PUNCT
ejpam-3308	35	35	three	three	NUM
ejpam-3308	35	36	pebbles	pebble	NOUN
ejpam-3308	35	37	at	at	ADP
ejpam-3308	35	38	a	a	DET
ejpam-3308	35	39	time	time	NOUN
ejpam-3308	35	40	)	)	PUNCT
ejpam-3308	35	41	and	and	CCONJ
ejpam-3308	35	42	instead	instead	ADV
ejpam-3308	35	43	of	of	ADP
ejpam-3308	35	44	having	have	VERB
ejpam-3308	35	45	any	any	DET
ejpam-3308	35	46	number	number	NOUN
ejpam-3308	35	47	of	of	ADP
ejpam-3308	35	48	pieces	piece	NOUN
ejpam-3308	35	49	,	,	PUNCT
ejpam-3308	35	50	each	each	DET
ejpam-3308	35	51	player	player	NOUN
ejpam-3308	35	52	only	only	ADV
ejpam-3308	35	53	had	have	VERB
ejpam-3308	35	54	three	three	NUM
ejpam-3308	35	55	,	,	PUNCT
ejpam-3308	35	56	thus	thus	ADV
ejpam-3308	35	57	they	they	PRON
ejpam-3308	35	58	had	have	VERB
ejpam-3308	35	59	to	to	PART
ejpam-3308	35	60	move	move	VERB
ejpam-3308	35	61	them	they	PRON
ejpam-3308	35	62	around	around	ADP
ejpam-3308	35	63	to	to	ADP
ejpam-3308	35	64	empty	empty	ADJ
ejpam-3308	35	65	spaces	space	NOUN
ejpam-3308	35	66	to	to	PART
ejpam-3308	35	67	keep	keep	VERB
ejpam-3308	35	68	playing	play	VERB
ejpam-3308	35	69	[	[	X
ejpam-3308	35	70	2	2	NUM
ejpam-3308	35	71	]	]	PUNCT
ejpam-3308	35	72	.	.	PUNCT
ejpam-3308	36	1	everything	everything	PRON
ejpam-3308	36	2	has	have	VERB
ejpam-3308	36	3	an	an	DET
ejpam-3308	36	4	origin	origin	NOUN
ejpam-3308	36	5	and	and	CCONJ
ejpam-3308	36	6	zaminamina	zaminamina	PROPN
ejpam-3308	36	7	draft	draft	NOUN
ejpam-3308	36	8	game	game	NOUN
ejpam-3308	36	9	which	which	PRON
ejpam-3308	36	10	is	be	AUX
ejpam-3308	36	11	currently	currently	ADV
ejpam-3308	36	12	the	the	DET
ejpam-3308	36	13	name	name	NOUN
ejpam-3308	36	14	given	give	VERB
ejpam-3308	36	15	to	to	ADP
ejpam-3308	36	16	the	the	DET
ejpam-3308	36	17	three	three	NUM
ejpam-3308	36	18	in	in	ADP
ejpam-3308	36	19	a	a	DET
ejpam-3308	36	20	row	row	NOUN
ejpam-3308	36	21	game	game	NOUN
ejpam-3308	36	22	had	have	VERB
ejpam-3308	36	23	its	its	PRON
ejpam-3308	36	24	initial	initial	ADJ
ejpam-3308	36	25	names	name	NOUN
ejpam-3308	36	26	and	and	CCONJ
ejpam-3308	36	27	different	different	ADJ
ejpam-3308	36	28	looks	look	NOUN
ejpam-3308	36	29	.	.	PUNCT
ejpam-3308	37	1	there	there	PRON
ejpam-3308	37	2	are	be	VERB
ejpam-3308	37	3	different	different	ADJ
ejpam-3308	37	4	names	name	NOUN
ejpam-3308	37	5	of	of	ADP
ejpam-3308	37	6	the	the	DET
ejpam-3308	37	7	game	game	NOUN
ejpam-3308	37	8	recently	recently	ADV
ejpam-3308	37	9	.	.	PUNCT
ejpam-3308	38	1	gomoku	gomoku	NOUN
ejpam-3308	39	1	[	[	X
ejpam-3308	39	2	3	3	NUM
ejpam-3308	39	3	]	]	PUNCT
ejpam-3308	39	4	,	,	PUNCT
ejpam-3308	39	5	also	also	ADV
ejpam-3308	39	6	known	know	VERB
ejpam-3308	39	7	as	as	ADP
ejpam-3308	39	8	gobang	gobang	PROPN
ejpam-3308	39	9	or	or	CCONJ
ejpam-3308	39	10	five	five	NUM
ejpam-3308	39	11	in	in	ADP
ejpam-3308	39	12	a	a	DET
ejpam-3308	39	13	row	row	NOUN
ejpam-3308	39	14	is	be	AUX
ejpam-3308	39	15	another	another	DET
ejpam-3308	39	16	abstract	abstract	ADJ
ejpam-3308	39	17	strategy	strategy	NOUN
ejpam-3308	39	18	board	board	NOUN
ejpam-3308	39	19	game	game	NOUN
ejpam-3308	39	20	which	which	PRON
ejpam-3308	39	21	originated	originate	VERB
ejpam-3308	39	22	from	from	ADP
ejpam-3308	39	23	the	the	DET
ejpam-3308	39	24	japanese	japanese	ADJ
ejpam-3308	39	25	language	language	NOUN
ejpam-3308	39	26	gomokunarabe	gomokunarabe	NOUN
ejpam-3308	39	27	.	.	PUNCT
ejpam-3308	40	1	go	go	VERB
ejpam-3308	40	2	means	mean	VERB
ejpam-3308	40	3	five	five	NUM
ejpam-3308	40	4	,	,	PUNCT
ejpam-3308	40	5	moku	moku	PROPN
ejpam-3308	40	6	is	be	AUX
ejpam-3308	40	7	a	a	DET
ejpam-3308	40	8	counter	counter	ADJ
ejpam-3308	40	9	word	word	NOUN
ejpam-3308	40	10	for	for	ADP
ejpam-3308	40	11	pieces	piece	NOUN
ejpam-3308	40	12	and	and	CCONJ
ejpam-3308	40	13	narabe	narabe	PROPN
ejpam-3308	40	14	means	mean	VERB
ejpam-3308	40	15	line	line	NOUN
ejpam-3308	40	16	-	-	PUNCT
ejpam-3308	40	17	up	up	NOUN
ejpam-3308	40	18	.	.	PUNCT
ejpam-3308	41	1	it	it	PRON
ejpam-3308	41	2	is	be	AUX
ejpam-3308	41	3	traditionally	traditionally	ADV
ejpam-3308	41	4	played	play	VERB
ejpam-3308	41	5	with	with	ADP
ejpam-3308	41	6	go	go	PROPN
ejpam-3308	41	7	e.	e.	PROPN
ejpam-3308	41	8	k.	k.	PROPN
ejpam-3308	41	9	donkoh	donkoh	PROPN
ejpam-3308	42	1	et	et	PROPN
ejpam-3308	42	2	al	al	PROPN
ejpam-3308	42	3	.	.	PUNCT
ejpam-3308	42	4	/	/	SYM
ejpam-3308	42	5	eur	eur	PROPN
ejpam-3308	42	6	.	.	PUNCT
ejpam-3308	43	1	j.	j.	PROPN
ejpam-3308	43	2	pure	pure	PROPN
ejpam-3308	43	3	appl	appl	PROPN
ejpam-3308	43	4	.	.	PROPN
ejpam-3308	43	5	math	math	PROPN
ejpam-3308	43	6	,	,	PUNCT
ejpam-3308	43	7	12	12	NUM
ejpam-3308	43	8	(	(	PUNCT
ejpam-3308	43	9	1	1	NUM
ejpam-3308	43	10	)	)	PUNCT
ejpam-3308	43	11	(	(	PUNCT
ejpam-3308	43	12	2019	2019	NUM
ejpam-3308	43	13	)	)	PUNCT
ejpam-3308	43	14	,	,	PUNCT
ejpam-3308	43	15	159	159	NUM
ejpam-3308	43	16	-	-	SYM
ejpam-3308	43	17	175	175	NUM
ejpam-3308	43	18	161	161	NUM
ejpam-3308	43	19	figure	figure	NOUN
ejpam-3308	43	20	1	1	NUM
ejpam-3308	43	21	:	:	PUNCT
ejpam-3308	43	22	pictorial	pictorial	ADJ
ejpam-3308	43	23	variations	variation	NOUN
ejpam-3308	43	24	of	of	ADP
ejpam-3308	43	25	zaminamina	zaminamina	PROPN
ejpam-3308	43	26	board	board	PROPN
ejpam-3308	43	27	game	game	NOUN
ejpam-3308	43	28	(	(	PUNCT
ejpam-3308	43	29	black	black	ADJ
ejpam-3308	43	30	and	and	CCONJ
ejpam-3308	43	31	white	white	ADJ
ejpam-3308	43	32	stones	stone	NOUN
ejpam-3308	43	33	)	)	PUNCT
ejpam-3308	43	34	on	on	ADP
ejpam-3308	43	35	a	a	DET
ejpam-3308	43	36	go	go	NOUN
ejpam-3308	43	37	board	board	NOUN
ejpam-3308	43	38	,	,	PUNCT
ejpam-3308	43	39	using	use	VERB
ejpam-3308	43	40	1515	1515	NUM
ejpam-3308	43	41	of	of	ADP
ejpam-3308	43	42	the	the	DET
ejpam-3308	43	43	1919	1919	NUM
ejpam-3308	43	44	grid	grid	NOUN
ejpam-3308	43	45	intersections	intersection	NOUN
ejpam-3308	43	46	[	[	X
ejpam-3308	43	47	4	4	NUM
ejpam-3308	43	48	]	]	PUNCT
ejpam-3308	43	49	.	.	PUNCT
ejpam-3308	44	1	a	a	DET
ejpam-3308	44	2	modification	modification	NOUN
ejpam-3308	44	3	of	of	ADP
ejpam-3308	44	4	the	the	DET
ejpam-3308	44	5	gomoku	gomoku	NOUN
ejpam-3308	44	6	game	game	NOUN
ejpam-3308	44	7	is	be	AUX
ejpam-3308	44	8	renju	renju	ADJ
ejpam-3308	44	9	shown	show	VERB
ejpam-3308	44	10	in	in	ADP
ejpam-3308	44	11	figure	figure	NOUN
ejpam-3308	44	12	1	1	NUM
ejpam-3308	44	13	(	(	PUNCT
ejpam-3308	44	14	h	h	NOUN
ejpam-3308	44	15	)	)	PUNCT
ejpam-3308	44	16	requires	require	VERB
ejpam-3308	44	17	5marbles	5marbles	NUM
ejpam-3308	44	18	in	in	ADP
ejpam-3308	44	19	a	a	DET
ejpam-3308	44	20	row	row	NOUN
ejpam-3308	44	21	or	or	CCONJ
ejpam-3308	44	22	column	column	NOUN
ejpam-3308	44	23	of	of	ADP
ejpam-3308	44	24	diagonal	diagonal	ADJ
ejpam-3308	44	25	to	to	PART
ejpam-3308	44	26	signify	signify	VERB
ejpam-3308	44	27	a	a	DET
ejpam-3308	44	28	win	win	NOUN
ejpam-3308	44	29	for	for	ADP
ejpam-3308	44	30	that	that	DET
ejpam-3308	44	31	player	player	NOUN
ejpam-3308	44	32	.	.	PUNCT
ejpam-3308	45	1	other	other	ADJ
ejpam-3308	45	2	equivalent	equivalent	ADJ
ejpam-3308	45	3	version	version	NOUN
ejpam-3308	45	4	of	of	ADP
ejpam-3308	45	5	the	the	DET
ejpam-3308	45	6	zaminamina	zaminamina	PROPN
ejpam-3308	45	7	board	board	PROPN
ejpam-3308	45	8	game	game	NOUN
ejpam-3308	45	9	is	be	AUX
ejpam-3308	45	10	the	the	DET
ejpam-3308	45	11	sos	sos	PROPN
ejpam-3308	45	12	8x8	8x8	NUM
ejpam-3308	45	13	board	board	NOUN
ejpam-3308	45	14	game	game	NOUN
ejpam-3308	45	15	in	in	ADP
ejpam-3308	45	16	figure	figure	NOUN
ejpam-3308	45	17	1	1	NUM
ejpam-3308	45	18	(	(	PUNCT
ejpam-3308	45	19	i	i	NOUN
ejpam-3308	45	20	)	)	PUNCT
ejpam-3308	45	21	.	.	PUNCT
ejpam-3308	46	1	the	the	DET
ejpam-3308	46	2	objective	objective	NOUN
ejpam-3308	46	3	of	of	ADP
ejpam-3308	46	4	the	the	DET
ejpam-3308	46	5	game	game	NOUN
ejpam-3308	46	6	is	be	AUX
ejpam-3308	46	7	for	for	SCONJ
ejpam-3308	46	8	each	each	DET
ejpam-3308	46	9	player	player	NOUN
ejpam-3308	46	10	to	to	PART
ejpam-3308	46	11	attempt	attempt	VERB
ejpam-3308	46	12	to	to	PART
ejpam-3308	46	13	create	create	VERB
ejpam-3308	46	14	the	the	DET
ejpam-3308	46	15	straight	straight	ADJ
ejpam-3308	46	16	sequence	sequence	NOUN
ejpam-3308	46	17	s	s	NOUN
ejpam-3308	46	18	-	-	NOUN
ejpam-3308	46	19	o	o	NOUN
ejpam-3308	46	20	-	-	NOUN
ejpam-3308	46	21	s	s	NOUN
ejpam-3308	46	22	among	among	ADP
ejpam-3308	46	23	connected	connected	ADJ
ejpam-3308	46	24	squares	square	NOUN
ejpam-3308	46	25	(	(	PUNCT
ejpam-3308	46	26	either	either	CCONJ
ejpam-3308	46	27	diagonally	diagonally	ADV
ejpam-3308	46	28	,	,	PUNCT
ejpam-3308	46	29	horizontally	horizontally	ADV
ejpam-3308	46	30	,	,	PUNCT
ejpam-3308	46	31	or	or	CCONJ
ejpam-3308	46	32	vertically	vertically	ADV
ejpam-3308	46	33	)	)	PUNCT
ejpam-3308	46	34	,	,	PUNCT
ejpam-3308	46	35	and	and	CCONJ
ejpam-3308	46	36	to	to	PART
ejpam-3308	46	37	create	create	VERB
ejpam-3308	46	38	as	as	ADV
ejpam-3308	46	39	many	many	ADJ
ejpam-3308	46	40	such	such	ADJ
ejpam-3308	46	41	sequences	sequence	NOUN
ejpam-3308	46	42	as	as	SCONJ
ejpam-3308	46	43	they	they	PRON
ejpam-3308	46	44	can	can	AUX
ejpam-3308	46	45	[	[	X
ejpam-3308	46	46	5	5	NUM
ejpam-3308	46	47	]	]	PUNCT
ejpam-3308	46	48	.	.	PUNCT
ejpam-3308	47	1	a	a	DET
ejpam-3308	47	2	wide	wide	ADJ
ejpam-3308	47	3	variation	variation	NOUN
ejpam-3308	47	4	of	of	ADP
ejpam-3308	47	5	zaminamina	zaminamina	PROPN
ejpam-3308	47	6	board	board	PROPN
ejpam-3308	47	7	game	game	NOUN
ejpam-3308	47	8	is	be	AUX
ejpam-3308	47	9	the	the	DET
ejpam-3308	47	10	ultimate	ultimate	ADJ
ejpam-3308	47	11	tic	tic	ADJ
ejpam-3308	47	12	-	-	PUNCT
ejpam-3308	47	13	tac	tac	NOUN
ejpam-3308	47	14	-	-	ADJ
ejpam-3308	47	15	toe	toe	NOUN
ejpam-3308	47	16	3x3	3x3	NUM
ejpam-3308	47	17	grid	grid	NOUN
ejpam-3308	47	18	game	game	NOUN
ejpam-3308	47	19	in	in	ADP
ejpam-3308	47	20	which	which	PRON
ejpam-3308	47	21	each	each	PRON
ejpam-3308	47	22	of	of	ADP
ejpam-3308	47	23	the	the	DET
ejpam-3308	47	24	nine	nine	NUM
ejpam-3308	47	25	grid	grid	NOUN
ejpam-3308	47	26	squares	square	NOUN
ejpam-3308	47	27	are	be	AUX
ejpam-3308	47	28	also	also	ADV
ejpam-3308	47	29	divided	divide	VERB
ejpam-3308	47	30	into	into	ADP
ejpam-3308	47	31	nine	nine	NUM
ejpam-3308	47	32	different	different	ADJ
ejpam-3308	47	33	sub	sub	NOUN
ejpam-3308	47	34	squares	square	NOUN
ejpam-3308	47	35	indicating	indicate	VERB
ejpam-3308	47	36	a	a	DET
ejpam-3308	47	37	total	total	NOUN
ejpam-3308	47	38	of	of	ADP
ejpam-3308	47	39	81	81	NUM
ejpam-3308	47	40	squares	square	NOUN
ejpam-3308	47	41	on	on	ADP
ejpam-3308	47	42	the	the	DET
ejpam-3308	47	43	board	board	NOUN
ejpam-3308	47	44	.	.	PUNCT
ejpam-3308	48	1	the	the	DET
ejpam-3308	48	2	mini	mini	ADJ
ejpam-3308	48	3	squares	square	NOUN
ejpam-3308	48	4	are	be	AUX
ejpam-3308	48	5	known	know	VERB
ejpam-3308	48	6	as	as	ADP
ejpam-3308	48	7	the	the	DET
ejpam-3308	48	8	local	local	ADJ
ejpam-3308	48	9	board	board	NOUN
ejpam-3308	48	10	and	and	CCONJ
ejpam-3308	48	11	the	the	DET
ejpam-3308	48	12	main	main	ADJ
ejpam-3308	48	13	squares	square	NOUN
ejpam-3308	48	14	are	be	AUX
ejpam-3308	48	15	known	know	VERB
ejpam-3308	48	16	as	as	ADP
ejpam-3308	48	17	the	the	DET
ejpam-3308	48	18	global	global	PROPN
ejpam-3308	48	19	board	board	PROPN
ejpam-3308	48	20	.	.	PUNCT
ejpam-3308	49	1	this	this	DET
ejpam-3308	49	2	game	game	NOUN
ejpam-3308	49	3	is	be	AUX
ejpam-3308	49	4	complex	complex	ADJ
ejpam-3308	49	5	due	due	ADP
ejpam-3308	49	6	to	to	ADP
ejpam-3308	49	7	its	its	PRON
ejpam-3308	49	8	nature	nature	NOUN
ejpam-3308	49	9	.	.	PUNCT
ejpam-3308	50	1	before	before	SCONJ
ejpam-3308	50	2	a	a	DET
ejpam-3308	50	3	player	player	NOUN
ejpam-3308	50	4	can	can	AUX
ejpam-3308	50	5	even	even	ADV
ejpam-3308	50	6	have	have	VERB
ejpam-3308	50	7	an	an	DET
ejpam-3308	50	8	upper	upper	ADJ
ejpam-3308	50	9	hand	hand	NOUN
ejpam-3308	50	10	on	on	ADP
ejpam-3308	50	11	a	a	DET
ejpam-3308	50	12	global	global	ADJ
ejpam-3308	50	13	square	square	NOUN
ejpam-3308	50	14	on	on	ADP
ejpam-3308	50	15	the	the	DET
ejpam-3308	50	16	global	global	PROPN
ejpam-3308	50	17	board	board	PROPN
ejpam-3308	50	18	,	,	PUNCT
ejpam-3308	50	19	that	that	DET
ejpam-3308	50	20	player	player	NOUN
ejpam-3308	50	21	needs	need	VERB
ejpam-3308	50	22	to	to	PART
ejpam-3308	50	23	have	have	VERB
ejpam-3308	50	24	a	a	DET
ejpam-3308	50	25	3	3	NUM
ejpam-3308	50	26	in	in	ADP
ejpam-3308	50	27	a	a	DET
ejpam-3308	50	28	row	row	NOUN
ejpam-3308	50	29	(	(	PUNCT
ejpam-3308	50	30	vertical	vertical	ADJ
ejpam-3308	50	31	,	,	PUNCT
ejpam-3308	50	32	horizontal	horizontal	ADJ
ejpam-3308	50	33	or	or	CCONJ
ejpam-3308	50	34	diagonal	diagonal	ADJ
ejpam-3308	50	35	)	)	PUNCT
ejpam-3308	50	36	before	before	SCONJ
ejpam-3308	50	37	he	he	PRON
ejpam-3308	50	38	can	can	AUX
ejpam-3308	50	39	place	place	VERB
ejpam-3308	50	40	either	either	CCONJ
ejpam-3308	50	41	an	an	DET
ejpam-3308	50	42	x	x	NOUN
ejpam-3308	50	43	or	or	CCONJ
ejpam-3308	50	44	an	an	DET
ejpam-3308	50	45	o	o	NOUN
ejpam-3308	50	46	on	on	ADP
ejpam-3308	50	47	the	the	DET
ejpam-3308	50	48	global	global	PROPN
ejpam-3308	50	49	board	board	PROPN
ejpam-3308	50	50	indicating	indicate	VERB
ejpam-3308	50	51	dominance	dominance	NOUN
ejpam-3308	50	52	[	[	X
ejpam-3308	50	53	6	6	NUM
ejpam-3308	50	54	]	]	PUNCT
ejpam-3308	50	55	.	.	PUNCT
ejpam-3308	51	1	a	a	DET
ejpam-3308	51	2	player	player	NOUN
ejpam-3308	51	3	wins	win	VERB
ejpam-3308	51	4	when	when	SCONJ
ejpam-3308	51	5	he	he	PRON
ejpam-3308	51	6	gets	get	VERB
ejpam-3308	51	7	3	3	NUM
ejpam-3308	51	8	in	in	ADP
ejpam-3308	51	9	a	a	DET
ejpam-3308	51	10	row	row	NOUN
ejpam-3308	51	11	(	(	PUNCT
ejpam-3308	51	12	vertical	vertical	ADJ
ejpam-3308	51	13	,	,	PUNCT
ejpam-3308	51	14	horizontal	horizontal	ADJ
ejpam-3308	51	15	,	,	PUNCT
ejpam-3308	51	16	or	or	CCONJ
ejpam-3308	51	17	diagonal	diagonal	ADJ
ejpam-3308	51	18	)	)	PUNCT
ejpam-3308	51	19	.	.	PUNCT
ejpam-3308	52	1	notakto	notakto	PROPN
ejpam-3308	52	2	is	be	AUX
ejpam-3308	52	3	a	a	DET
ejpam-3308	52	4	tic	tic	ADJ
ejpam-3308	52	5	-	-	PUNCT
ejpam-3308	52	6	tac	tac	NOUN
ejpam-3308	52	7	-	-	PUNCT
ejpam-3308	52	8	toe	toe	NOUN
ejpam-3308	52	9	variant	variant	NOUN
ejpam-3308	52	10	,	,	PUNCT
ejpam-3308	52	11	also	also	ADV
ejpam-3308	52	12	known	know	VERB
ejpam-3308	52	13	as	as	ADP
ejpam-3308	52	14	neutral	neutral	ADJ
ejpam-3308	52	15	or	or	CCONJ
ejpam-3308	52	16	impartial	impartial	ADJ
ejpam-3308	52	17	tic	tic	ADJ
ejpam-3308	52	18	-	-	PUNCT
ejpam-3308	52	19	tac	tac	NOUN
ejpam-3308	52	20	-	-	NOUN
ejpam-3308	52	21	toe	toe	NOUN
ejpam-3308	52	22	.	.	PUNCT
ejpam-3308	53	1	according	accord	VERB
ejpam-3308	53	2	to	to	ADP
ejpam-3308	53	3	[	[	X
ejpam-3308	53	4	7	7	NUM
ejpam-3308	53	5	]	]	PUNCT
ejpam-3308	53	6	,	,	PUNCT
ejpam-3308	53	7	notakto	notakto	X
ejpam-3308	53	8	is	be	AUX
ejpam-3308	53	9	a	a	DET
ejpam-3308	53	10	combination	combination	NOUN
ejpam-3308	53	11	of	of	ADP
ejpam-3308	53	12	tic	tic	ADJ
ejpam-3308	53	13	tac	tac	PROPN
ejpam-3308	53	14	toe	toe	NOUN
ejpam-3308	53	15	and	and	CCONJ
ejpam-3308	53	16	nim	nim	PROPN
ejpam-3308	53	17	played	play	VERB
ejpam-3308	53	18	across	across	ADP
ejpam-3308	53	19	one	one	NUM
ejpam-3308	53	20	or	or	CCONJ
ejpam-3308	53	21	several	several	ADJ
ejpam-3308	53	22	boards	board	NOUN
ejpam-3308	53	23	with	with	ADP
ejpam-3308	53	24	both	both	PRON
ejpam-3308	53	25	of	of	ADP
ejpam-3308	53	26	the	the	DET
ejpam-3308	53	27	players	player	NOUN
ejpam-3308	53	28	playing	play	VERB
ejpam-3308	53	29	the	the	DET
ejpam-3308	53	30	same	same	ADJ
ejpam-3308	53	31	piece	piece	NOUN
ejpam-3308	53	32	(	(	PUNCT
ejpam-3308	53	33	an	an	DET
ejpam-3308	53	34	”	"	PUNCT
ejpam-3308	53	35	x	x	NOUN
ejpam-3308	53	36	”	"	PUNCT
ejpam-3308	53	37	or	or	CCONJ
ejpam-3308	53	38	”	"	PUNCT
ejpam-3308	53	39	o	o	NOUN
ejpam-3308	53	40	”	"	PUNCT
ejpam-3308	53	41	)	)	PUNCT
ejpam-3308	53	42	.	.	PUNCT
ejpam-3308	54	1	the	the	DET
ejpam-3308	54	2	game	game	NOUN
ejpam-3308	54	3	ends	end	VERB
ejpam-3308	54	4	when	when	SCONJ
ejpam-3308	54	5	all	all	DET
ejpam-3308	54	6	the	the	DET
ejpam-3308	54	7	boards	board	NOUN
ejpam-3308	54	8	contain	contain	VERB
ejpam-3308	54	9	a	a	DET
ejpam-3308	54	10	three	three	NUM
ejpam-3308	54	11	-	-	PUNCT
ejpam-3308	54	12	in	in	ADP
ejpam-3308	54	13	-	-	PUNCT
ejpam-3308	54	14	a	a	DET
ejpam-3308	54	15	-	-	PUNCT
ejpam-3308	54	16	row	row	NOUN
ejpam-3308	54	17	of	of	ADP
ejpam-3308	54	18	x	x	NOUN
ejpam-3308	54	19	’s	’s	ADV
ejpam-3308	54	20	,	,	PUNCT
ejpam-3308	54	21	at	at	ADP
ejpam-3308	54	22	which	which	DET
ejpam-3308	54	23	point	point	NOUN
ejpam-3308	54	24	the	the	DET
ejpam-3308	54	25	player	player	NOUN
ejpam-3308	54	26	to	to	PART
ejpam-3308	54	27	have	have	AUX
ejpam-3308	54	28	made	make	VERB
ejpam-3308	54	29	the	the	DET
ejpam-3308	54	30	last	last	ADJ
ejpam-3308	54	31	move	move	NOUN
ejpam-3308	54	32	loses	lose	VERB
ejpam-3308	54	33	the	the	DET
ejpam-3308	54	34	game	game	NOUN
ejpam-3308	54	35	.	.	PUNCT
ejpam-3308	55	1	with	with	ADP
ejpam-3308	55	2	this	this	DET
ejpam-3308	55	3	type	type	NOUN
ejpam-3308	55	4	of	of	ADP
ejpam-3308	55	5	game	game	NOUN
ejpam-3308	55	6	,	,	PUNCT
ejpam-3308	55	7	the	the	DET
ejpam-3308	55	8	first	first	ADJ
ejpam-3308	55	9	player	player	NOUN
ejpam-3308	55	10	to	to	PART
ejpam-3308	55	11	complete	complete	VERB
ejpam-3308	55	12	3	3	NUM
ejpam-3308	55	13	in	in	ADP
ejpam-3308	55	14	a	a	DET
ejpam-3308	55	15	row	row	NOUN
ejpam-3308	55	16	loses	lose	VERB
ejpam-3308	55	17	the	the	DET
ejpam-3308	55	18	game	game	NOUN
ejpam-3308	55	19	and	and	CCONJ
ejpam-3308	55	20	the	the	DET
ejpam-3308	55	21	player	player	NOUN
ejpam-3308	55	22	to	to	PART
ejpam-3308	55	23	complete	complete	VERB
ejpam-3308	55	24	3	3	NUM
ejpam-3308	55	25	in	in	ADP
ejpam-3308	55	26	a	a	DET
ejpam-3308	55	27	row	row	NOUN
ejpam-3308	55	28	last	last	ADJ
ejpam-3308	55	29	wins	win	VERB
ejpam-3308	55	30	the	the	DET
ejpam-3308	55	31	game	game	NOUN
ejpam-3308	55	32	.	.	PUNCT
ejpam-3308	56	1	this	this	PRON
ejpam-3308	56	2	is	be	AUX
ejpam-3308	56	3	shown	show	VERB
ejpam-3308	56	4	in	in	ADP
ejpam-3308	56	5	figure	figure	NOUN
ejpam-3308	56	6	1	1	NUM
ejpam-3308	56	7	(	(	PUNCT
ejpam-3308	56	8	d	d	NOUN
ejpam-3308	56	9	)	)	PUNCT
ejpam-3308	56	10	.	.	PUNCT
ejpam-3308	57	1	qubic	qubic	PROPN
ejpam-3308	57	2	or	or	CCONJ
ejpam-3308	57	3	3d	3d	NUM
ejpam-3308	57	4	tic	tic	ADJ
ejpam-3308	57	5	-	-	PUNCT
ejpam-3308	57	6	tac	tac	NOUN
ejpam-3308	57	7	-	-	PUNCT
ejpam-3308	57	8	toe	toe	NOUN
ejpam-3308	57	9	is	be	AUX
ejpam-3308	57	10	an	an	DET
ejpam-3308	57	11	abstract	abstract	ADJ
ejpam-3308	57	12	strategy	strategy	NOUN
ejpam-3308	57	13	board	board	NOUN
ejpam-3308	57	14	game	game	NOUN
ejpam-3308	57	15	similar	similar	ADJ
ejpam-3308	57	16	in	in	ADP
ejpam-3308	57	17	concept	concept	NOUN
ejpam-3308	57	18	to	to	ADP
ejpam-3308	57	19	traditional	traditional	ADJ
ejpam-3308	57	20	tic	tic	ADJ
ejpam-3308	57	21	-	-	PUNCT
ejpam-3308	57	22	tac	tac	NOUN
ejpam-3308	57	23	-	-	NOUN
ejpam-3308	57	24	toe	toe	NOUN
ejpam-3308	57	25	but	but	CCONJ
ejpam-3308	57	26	is	be	AUX
ejpam-3308	57	27	played	play	VERB
ejpam-3308	57	28	in	in	ADP
ejpam-3308	57	29	a	a	DET
ejpam-3308	57	30	cubical	cubical	ADJ
ejpam-3308	57	31	array	array	NOUN
ejpam-3308	57	32	of	of	ADP
ejpam-3308	57	33	cells	cell	NOUN
ejpam-3308	57	34	,	,	PUNCT
ejpam-3308	57	35	usually	usually	ADV
ejpam-3308	57	36	4x4x4	4x4x4	NUM
ejpam-3308	57	37	.	.	PUNCT
ejpam-3308	58	1	players	player	NOUN
ejpam-3308	58	2	take	take	VERB
ejpam-3308	58	3	turns	turn	NOUN
ejpam-3308	58	4	placing	place	VERB
ejpam-3308	58	5	their	their	PRON
ejpam-3308	58	6	markers	marker	NOUN
ejpam-3308	58	7	in	in	ADP
ejpam-3308	58	8	blank	blank	ADJ
ejpam-3308	58	9	cells	cell	NOUN
ejpam-3308	58	10	in	in	ADP
ejpam-3308	58	11	the	the	DET
ejpam-3308	58	12	array	array	NOUN
ejpam-3308	58	13	.	.	PUNCT
ejpam-3308	59	1	the	the	DET
ejpam-3308	59	2	first	first	ADJ
ejpam-3308	59	3	player	player	NOUN
ejpam-3308	59	4	to	to	PART
ejpam-3308	59	5	achieve	achieve	VERB
ejpam-3308	59	6	four	four	NUM
ejpam-3308	59	7	of	of	ADP
ejpam-3308	59	8	their	their	PRON
ejpam-3308	59	9	own	own	ADJ
ejpam-3308	59	10	markers	marker	NOUN
ejpam-3308	59	11	in	in	ADP
ejpam-3308	59	12	a	a	DET
ejpam-3308	59	13	row	row	NOUN
ejpam-3308	59	14	wins	win	NOUN
ejpam-3308	59	15	.	.	PUNCT
ejpam-3308	60	1	the	the	DET
ejpam-3308	60	2	winning	winning	NOUN
ejpam-3308	60	3	row	row	NOUN
ejpam-3308	60	4	can	can	AUX
ejpam-3308	60	5	be	be	AUX
ejpam-3308	60	6	e.	e.	PROPN
ejpam-3308	60	7	k.	k.	PROPN
ejpam-3308	60	8	donkoh	donkoh	PROPN
ejpam-3308	60	9	et	et	PROPN
ejpam-3308	60	10	al	al	PROPN
ejpam-3308	60	11	.	.	PUNCT
ejpam-3308	60	12	/	/	SYM
ejpam-3308	60	13	eur	eur	PROPN
ejpam-3308	60	14	.	.	PUNCT
ejpam-3308	61	1	j.	j.	PROPN
ejpam-3308	61	2	pure	pure	PROPN
ejpam-3308	61	3	appl	appl	PROPN
ejpam-3308	61	4	.	.	PROPN
ejpam-3308	61	5	math	math	PROPN
ejpam-3308	61	6	,	,	PUNCT
ejpam-3308	61	7	12	12	NUM
ejpam-3308	61	8	(	(	PUNCT
ejpam-3308	61	9	1	1	NUM
ejpam-3308	61	10	)	)	PUNCT
ejpam-3308	61	11	(	(	PUNCT
ejpam-3308	61	12	2019	2019	NUM
ejpam-3308	61	13	)	)	PUNCT
ejpam-3308	61	14	,	,	PUNCT
ejpam-3308	61	15	159	159	NUM
ejpam-3308	61	16	-	-	SYM
ejpam-3308	61	17	175	175	NUM
ejpam-3308	61	18	162	162	NUM
ejpam-3308	61	19	horizontal	horizontal	ADJ
ejpam-3308	61	20	,	,	PUNCT
ejpam-3308	61	21	vertical	vertical	ADJ
ejpam-3308	61	22	,	,	PUNCT
ejpam-3308	61	23	or	or	CCONJ
ejpam-3308	61	24	diagonal	diagonal	ADJ
ejpam-3308	61	25	on	on	ADP
ejpam-3308	61	26	a	a	DET
ejpam-3308	61	27	single	single	ADJ
ejpam-3308	61	28	board	board	NOUN
ejpam-3308	61	29	as	as	ADP
ejpam-3308	61	30	in	in	ADP
ejpam-3308	61	31	regular	regular	ADJ
ejpam-3308	61	32	tictac	tictac	NOUN
ejpam-3308	61	33	-	-	PUNCT
ejpam-3308	61	34	toe	toe	NOUN
ejpam-3308	61	35	,	,	PUNCT
ejpam-3308	61	36	or	or	CCONJ
ejpam-3308	61	37	vertically	vertically	ADV
ejpam-3308	61	38	in	in	ADP
ejpam-3308	61	39	a	a	DET
ejpam-3308	61	40	column	column	NOUN
ejpam-3308	61	41	,	,	PUNCT
ejpam-3308	61	42	or	or	CCONJ
ejpam-3308	61	43	a	a	DET
ejpam-3308	61	44	diagonal	diagonal	ADJ
ejpam-3308	61	45	line	line	NOUN
ejpam-3308	61	46	through	through	ADP
ejpam-3308	61	47	four	four	NUM
ejpam-3308	61	48	boards	board	NOUN
ejpam-3308	61	49	.	.	PUNCT
ejpam-3308	62	1	illustrative	illustrative	ADJ
ejpam-3308	62	2	example	example	NOUN
ejpam-3308	62	3	is	be	AUX
ejpam-3308	62	4	in	in	ADP
ejpam-3308	62	5	figure	figure	NOUN
ejpam-3308	62	6	1(c	1(c	NUM
ejpam-3308	62	7	)	)	PUNCT
ejpam-3308	62	8	.	.	PUNCT
ejpam-3308	63	1	number	number	NOUN
ejpam-3308	63	2	scrabble	scrabble	NOUN
ejpam-3308	63	3	is	be	AUX
ejpam-3308	63	4	a	a	DET
ejpam-3308	63	5	mathematical	mathematical	ADJ
ejpam-3308	63	6	game	game	NOUN
ejpam-3308	63	7	where	where	SCONJ
ejpam-3308	63	8	players	player	NOUN
ejpam-3308	63	9	take	take	VERB
ejpam-3308	63	10	turns	turn	NOUN
ejpam-3308	63	11	to	to	PART
ejpam-3308	63	12	select	select	VERB
ejpam-3308	63	13	numbers	number	NOUN
ejpam-3308	63	14	from	from	ADP
ejpam-3308	63	15	1	1	NUM
ejpam-3308	63	16	to	to	ADP
ejpam-3308	63	17	9	9	NUM
ejpam-3308	63	18	without	without	ADP
ejpam-3308	63	19	repeating	repeat	VERB
ejpam-3308	63	20	any	any	DET
ejpam-3308	63	21	numbers	number	NOUN
ejpam-3308	63	22	previously	previously	ADV
ejpam-3308	63	23	used	use	VERB
ejpam-3308	63	24	,	,	PUNCT
ejpam-3308	63	25	and	and	CCONJ
ejpam-3308	63	26	the	the	DET
ejpam-3308	63	27	first	first	ADJ
ejpam-3308	63	28	player	player	NOUN
ejpam-3308	63	29	to	to	PART
ejpam-3308	63	30	accumulate	accumulate	VERB
ejpam-3308	63	31	a	a	DET
ejpam-3308	63	32	personal	personal	ADJ
ejpam-3308	63	33	total	total	NOUN
ejpam-3308	63	34	of	of	ADP
ejpam-3308	63	35	exactly	exactly	ADV
ejpam-3308	63	36	15	15	NUM
ejpam-3308	63	37	wins	win	NOUN
ejpam-3308	63	38	the	the	DET
ejpam-3308	63	39	game	game	NOUN
ejpam-3308	63	40	[	[	X
ejpam-3308	63	41	8	8	NUM
ejpam-3308	63	42	]	]	PUNCT
ejpam-3308	63	43	.	.	PUNCT
ejpam-3308	64	1	the	the	DET
ejpam-3308	64	2	game	game	NOUN
ejpam-3308	64	3	is	be	AUX
ejpam-3308	64	4	isomorphic	isomorphic	ADJ
ejpam-3308	64	5	to	to	ADP
ejpam-3308	64	6	tic	tic	ADJ
ejpam-3308	64	7	-	-	PUNCT
ejpam-3308	64	8	tac	tac	NOUN
ejpam-3308	64	9	-	-	PUNCT
ejpam-3308	64	10	toe	toe	NOUN
ejpam-3308	64	11	,	,	PUNCT
ejpam-3308	64	12	if	if	SCONJ
ejpam-3308	64	13	it	it	PRON
ejpam-3308	64	14	is	be	AUX
ejpam-3308	64	15	mapped	map	VERB
ejpam-3308	64	16	onto	onto	ADP
ejpam-3308	64	17	a	a	DET
ejpam-3308	64	18	magic	magic	ADJ
ejpam-3308	64	19	square	square	NOUN
ejpam-3308	64	20	.	.	PUNCT
ejpam-3308	65	1	once	once	ADV
ejpam-3308	65	2	a	a	DET
ejpam-3308	65	3	number	number	NOUN
ejpam-3308	65	4	has	have	AUX
ejpam-3308	65	5	been	be	AUX
ejpam-3308	65	6	picked	pick	VERB
ejpam-3308	65	7	,	,	PUNCT
ejpam-3308	65	8	it	it	PRON
ejpam-3308	65	9	can	can	AUX
ejpam-3308	65	10	not	not	PART
ejpam-3308	65	11	be	be	AUX
ejpam-3308	65	12	picked	pick	VERB
ejpam-3308	65	13	again	again	ADV
ejpam-3308	65	14	.	.	PUNCT
ejpam-3308	66	1	however	however	ADV
ejpam-3308	66	2	,	,	PUNCT
ejpam-3308	66	3	if	if	SCONJ
ejpam-3308	66	4	all	all	DET
ejpam-3308	66	5	the	the	DET
ejpam-3308	66	6	numbers	number	NOUN
ejpam-3308	66	7	are	be	AUX
ejpam-3308	66	8	used	use	VERB
ejpam-3308	66	9	and	and	CCONJ
ejpam-3308	66	10	no	no	DET
ejpam-3308	66	11	player	player	NOUN
ejpam-3308	66	12	gets	get	VERB
ejpam-3308	66	13	exactly	exactly	ADV
ejpam-3308	66	14	15	15	NUM
ejpam-3308	66	15	,	,	PUNCT
ejpam-3308	66	16	the	the	DET
ejpam-3308	66	17	game	game	NOUN
ejpam-3308	66	18	is	be	AUX
ejpam-3308	66	19	a	a	DET
ejpam-3308	66	20	draw	draw	NOUN
ejpam-3308	66	21	.	.	PUNCT
ejpam-3308	67	1	this	this	PRON
ejpam-3308	67	2	is	be	AUX
ejpam-3308	67	3	shown	show	VERB
ejpam-3308	67	4	in	in	ADP
ejpam-3308	67	5	figure	figure	NOUN
ejpam-3308	67	6	1	1	NUM
ejpam-3308	67	7	(	(	PUNCT
ejpam-3308	67	8	e	e	NOUN
ejpam-3308	67	9	)	)	PUNCT
ejpam-3308	67	10	.	.	PUNCT
ejpam-3308	68	1	order	order	NOUN
ejpam-3308	68	2	and	and	CCONJ
ejpam-3308	68	3	chaos	chaos	NOUN
ejpam-3308	68	4	is	be	AUX
ejpam-3308	68	5	a	a	DET
ejpam-3308	68	6	variant	variant	NOUN
ejpam-3308	68	7	of	of	ADP
ejpam-3308	68	8	the	the	DET
ejpam-3308	68	9	tic	tic	NOUN
ejpam-3308	68	10	-	-	PUNCT
ejpam-3308	68	11	tactoe	tactoe	NOUN
ejpam-3308	68	12	on	on	ADP
ejpam-3308	68	13	a	a	DET
ejpam-3308	68	14	66	66	NUM
ejpam-3308	68	15	game	game	NOUN
ejpam-3308	68	16	board	board	NOUN
ejpam-3308	68	17	invented	invent	VERB
ejpam-3308	68	18	by	by	ADP
ejpam-3308	68	19	[	[	PUNCT
ejpam-3308	68	20	9].the	9].the	DET
ejpam-3308	68	21	player	player	NOUN
ejpam-3308	68	22	order	order	NOUN
ejpam-3308	68	23	strives	strive	VERB
ejpam-3308	68	24	to	to	PART
ejpam-3308	68	25	create	create	VERB
ejpam-3308	68	26	a	a	DET
ejpam-3308	68	27	five	five	NUM
ejpam-3308	68	28	-	-	PUNCT
ejpam-3308	68	29	in	in	ADP
ejpam-3308	68	30	-	-	PUNCT
ejpam-3308	68	31	a	a	DET
ejpam-3308	68	32	-	-	PUNCT
ejpam-3308	68	33	row	row	NOUN
ejpam-3308	68	34	of	of	ADP
ejpam-3308	68	35	either	either	DET
ejpam-3308	68	36	xs	xs	PROPN
ejpam-3308	68	37	or	or	CCONJ
ejpam-3308	68	38	os	os	NOUN
ejpam-3308	68	39	.	.	PUNCT
ejpam-3308	69	1	the	the	DET
ejpam-3308	69	2	opponent	opponent	NOUN
ejpam-3308	69	3	chaos	chaos	NOUN
ejpam-3308	69	4	endeavors	endeavor	VERB
ejpam-3308	69	5	to	to	PART
ejpam-3308	69	6	prevent	prevent	VERB
ejpam-3308	69	7	this	this	PRON
ejpam-3308	69	8	.	.	PUNCT
ejpam-3308	70	1	unlike	unlike	ADP
ejpam-3308	70	2	typical	typical	ADJ
ejpam-3308	70	3	board	board	PROPN
ejpam-3308	70	4	games	game	NOUN
ejpam-3308	70	5	,	,	PUNCT
ejpam-3308	70	6	both	both	DET
ejpam-3308	70	7	players	player	NOUN
ejpam-3308	70	8	control	control	VERB
ejpam-3308	70	9	both	both	DET
ejpam-3308	70	10	sets	set	NOUN
ejpam-3308	70	11	of	of	ADP
ejpam-3308	70	12	pieces	piece	NOUN
ejpam-3308	70	13	(	(	PUNCT
ejpam-3308	70	14	xs	xs	PROPN
ejpam-3308	70	15	and	and	CCONJ
ejpam-3308	70	16	os	os	NOUN
ejpam-3308	70	17	)	)	PUNCT
ejpam-3308	70	18	.	.	PUNCT
ejpam-3308	71	1	the	the	DET
ejpam-3308	71	2	game	game	NOUN
ejpam-3308	71	3	starts	start	VERB
ejpam-3308	71	4	with	with	ADP
ejpam-3308	71	5	the	the	DET
ejpam-3308	71	6	board	board	NOUN
ejpam-3308	71	7	empty	empty	ADJ
ejpam-3308	71	8	.	.	PUNCT
ejpam-3308	72	1	order	order	NOUN
ejpam-3308	72	2	plays	play	VERB
ejpam-3308	72	3	first	first	ADV
ejpam-3308	72	4	,	,	PUNCT
ejpam-3308	72	5	then	then	ADV
ejpam-3308	72	6	turns	turn	VERB
ejpam-3308	72	7	alternate	alternate	ADJ
ejpam-3308	72	8	.	.	PUNCT
ejpam-3308	73	1	on	on	ADP
ejpam-3308	73	2	each	each	DET
ejpam-3308	73	3	turn	turn	NOUN
ejpam-3308	73	4	,	,	PUNCT
ejpam-3308	73	5	a	a	DET
ejpam-3308	73	6	player	player	NOUN
ejpam-3308	73	7	places	place	VERB
ejpam-3308	73	8	either	either	CCONJ
ejpam-3308	73	9	an	an	DET
ejpam-3308	73	10	x	x	NOUN
ejpam-3308	73	11	or	or	CCONJ
ejpam-3308	73	12	an	an	DET
ejpam-3308	73	13	o	o	NOUN
ejpam-3308	73	14	on	on	ADP
ejpam-3308	73	15	any	any	DET
ejpam-3308	73	16	open	open	ADJ
ejpam-3308	73	17	square	square	NOUN
ejpam-3308	73	18	.	.	PUNCT
ejpam-3308	74	1	once	once	ADV
ejpam-3308	74	2	played	play	VERB
ejpam-3308	74	3	,	,	PUNCT
ejpam-3308	74	4	pieces	piece	NOUN
ejpam-3308	74	5	can	can	AUX
ejpam-3308	74	6	not	not	PART
ejpam-3308	74	7	be	be	AUX
ejpam-3308	74	8	moved	move	VERB
ejpam-3308	74	9	,	,	PUNCT
ejpam-3308	74	10	thus	thus	ADV
ejpam-3308	74	11	order	order	NOUN
ejpam-3308	74	12	and	and	CCONJ
ejpam-3308	74	13	chaos	chaos	NOUN
ejpam-3308	74	14	can	can	AUX
ejpam-3308	74	15	be	be	AUX
ejpam-3308	74	16	played	play	VERB
ejpam-3308	74	17	using	use	VERB
ejpam-3308	74	18	pencil	pencil	NOUN
ejpam-3308	74	19	and	and	CCONJ
ejpam-3308	74	20	paper	paper	NOUN
ejpam-3308	74	21	[	[	X
ejpam-3308	74	22	10	10	NUM
ejpam-3308	74	23	]	]	PUNCT
ejpam-3308	74	24	.	.	PUNCT
ejpam-3308	75	1	order	order	NOUN
ejpam-3308	75	2	aims	aim	VERB
ejpam-3308	75	3	to	to	PART
ejpam-3308	75	4	get	get	VERB
ejpam-3308	75	5	five	five	NUM
ejpam-3308	75	6	like	like	ADP
ejpam-3308	75	7	pieces	piece	NOUN
ejpam-3308	75	8	in	in	ADP
ejpam-3308	75	9	a	a	DET
ejpam-3308	75	10	row	row	NOUN
ejpam-3308	75	11	either	either	CCONJ
ejpam-3308	75	12	vertically	vertically	ADV
ejpam-3308	75	13	,	,	PUNCT
ejpam-3308	75	14	horizontally	horizontally	ADV
ejpam-3308	75	15	,	,	PUNCT
ejpam-3308	75	16	or	or	CCONJ
ejpam-3308	75	17	diagonally	diagonally	ADV
ejpam-3308	75	18	.	.	PUNCT
ejpam-3308	76	1	chaos	chaos	NOUN
ejpam-3308	76	2	aims	aim	VERB
ejpam-3308	76	3	to	to	PART
ejpam-3308	76	4	fill	fill	VERB
ejpam-3308	76	5	the	the	DET
ejpam-3308	76	6	board	board	NOUN
ejpam-3308	76	7	without	without	ADP
ejpam-3308	76	8	completion	completion	NOUN
ejpam-3308	76	9	of	of	ADP
ejpam-3308	76	10	a	a	DET
ejpam-3308	76	11	line	line	NOUN
ejpam-3308	76	12	of	of	ADP
ejpam-3308	76	13	five	five	NUM
ejpam-3308	76	14	like	like	ADP
ejpam-3308	76	15	pieces	piece	NOUN
ejpam-3308	76	16	.	.	PUNCT
ejpam-3308	77	1	quantum	quantum	ADJ
ejpam-3308	77	2	tic	tic	NOUN
ejpam-3308	77	3	-	-	PUNCT
ejpam-3308	77	4	tac	tac	NOUN
ejpam-3308	77	5	-	-	PUNCT
ejpam-3308	77	6	toe	toe	NOUN
ejpam-3308	77	7	game	game	NOUN
ejpam-3308	77	8	is	be	AUX
ejpam-3308	77	9	played	play	VERB
ejpam-3308	77	10	on	on	ADP
ejpam-3308	77	11	the	the	DET
ejpam-3308	77	12	same	same	ADJ
ejpam-3308	77	13	board	board	NOUN
ejpam-3308	77	14	as	as	SCONJ
ejpam-3308	77	15	the	the	DET
ejpam-3308	77	16	classical	classical	ADJ
ejpam-3308	77	17	tic	tic	ADJ
ejpam-3308	77	18	-	-	PUNCT
ejpam-3308	77	19	tac	tac	NOUN
ejpam-3308	77	20	-	-	PUNCT
ejpam-3308	77	21	toe	toe	NOUN
ejpam-3308	77	22	game	game	NOUN
ejpam-3308	77	23	which	which	PRON
ejpam-3308	77	24	consists	consist	VERB
ejpam-3308	77	25	of	of	ADP
ejpam-3308	77	26	a	a	DET
ejpam-3308	77	27	3	3	NUM
ejpam-3308	77	28	x	x	SYM
ejpam-3308	77	29	3	3	NUM
ejpam-3308	77	30	grid	grid	NOUN
ejpam-3308	77	31	of	of	ADP
ejpam-3308	77	32	squares	square	NOUN
ejpam-3308	77	33	,	,	PUNCT
ejpam-3308	77	34	labelled	label	VERB
ejpam-3308	77	35	1	1	NUM
ejpam-3308	77	36	through	through	ADP
ejpam-3308	77	37	9	9	NUM
ejpam-3308	77	38	(	(	PUNCT
ejpam-3308	77	39	left	leave	VERB
ejpam-3308	77	40	to	to	ADP
ejpam-3308	77	41	right	right	NOUN
ejpam-3308	77	42	and	and	CCONJ
ejpam-3308	77	43	top	top	ADJ
ejpam-3308	77	44	to	to	ADP
ejpam-3308	77	45	bottom	bottom	NOUN
ejpam-3308	77	46	)	)	PUNCT
ejpam-3308	77	47	.	.	PUNCT
ejpam-3308	78	1	it	it	PRON
ejpam-3308	78	2	came	come	VERB
ejpam-3308	78	3	into	into	ADP
ejpam-3308	78	4	existence	existence	NOUN
ejpam-3308	78	5	as	as	ADP
ejpam-3308	78	6	a	a	DET
ejpam-3308	78	7	result	result	NOUN
ejpam-3308	78	8	of	of	ADP
ejpam-3308	78	9	quantum	quantum	NOUN
ejpam-3308	78	10	theory	theory	NOUN
ejpam-3308	78	11	games	game	NOUN
ejpam-3308	78	12	invented	invent	VERB
ejpam-3308	78	13	by	by	ADP
ejpam-3308	78	14	allan	allan	PROPN
ejpam-3308	78	15	goff	goff	PROPN
ejpam-3308	78	16	as	as	ADP
ejpam-3308	78	17	a	a	DET
ejpam-3308	78	18	way	way	NOUN
ejpam-3308	78	19	of	of	ADP
ejpam-3308	78	20	introducing	introduce	VERB
ejpam-3308	78	21	quantum	quantum	ADJ
ejpam-3308	78	22	physics	physics	NOUN
ejpam-3308	78	23	without	without	ADP
ejpam-3308	78	24	mathematics	mathematic	NOUN
ejpam-3308	78	25	.	.	PUNCT
ejpam-3308	79	1	it	it	PRON
ejpam-3308	79	2	is	be	AUX
ejpam-3308	79	3	noted	note	VERB
ejpam-3308	79	4	in	in	ADP
ejpam-3308	79	5	classical	classical	ADJ
ejpam-3308	79	6	physics	physics	NOUN
ejpam-3308	79	7	that	that	SCONJ
ejpam-3308	79	8	a	a	DET
ejpam-3308	79	9	single	single	ADJ
ejpam-3308	79	10	object	object	NOUN
ejpam-3308	79	11	can	can	AUX
ejpam-3308	79	12	not	not	PART
ejpam-3308	79	13	be	be	AUX
ejpam-3308	79	14	in	in	ADP
ejpam-3308	79	15	two	two	NUM
ejpam-3308	79	16	places	place	NOUN
ejpam-3308	79	17	at	at	ADP
ejpam-3308	79	18	once	once	ADV
ejpam-3308	79	19	whiles	while	NOUN
ejpam-3308	79	20	in	in	ADP
ejpam-3308	79	21	quantum	quantum	ADJ
ejpam-3308	79	22	physics	physics	NOUN
ejpam-3308	79	23	,	,	PUNCT
ejpam-3308	79	24	the	the	DET
ejpam-3308	79	25	mathematics	mathematic	NOUN
ejpam-3308	79	26	used	use	VERB
ejpam-3308	79	27	to	to	PART
ejpam-3308	79	28	describe	describe	VERB
ejpam-3308	79	29	quantum	quantum	NOUN
ejpam-3308	79	30	systems	system	NOUN
ejpam-3308	79	31	seems	seem	VERB
ejpam-3308	79	32	to	to	PART
ejpam-3308	79	33	imply	imply	VERB
ejpam-3308	79	34	that	that	SCONJ
ejpam-3308	79	35	before	before	SCONJ
ejpam-3308	79	36	an	an	DET
ejpam-3308	79	37	object	object	NOUN
ejpam-3308	79	38	can	can	AUX
ejpam-3308	79	39	be	be	AUX
ejpam-3308	79	40	subjected	subject	VERB
ejpam-3308	79	41	to	to	ADP
ejpam-3308	79	42	quantum	quantum	ADJ
ejpam-3308	79	43	measurements	measurement	NOUN
ejpam-3308	79	44	,	,	PUNCT
ejpam-3308	79	45	certain	certain	ADJ
ejpam-3308	79	46	quantum	quantum	ADJ
ejpam-3308	79	47	particles	particle	NOUN
ejpam-3308	79	48	can	can	AUX
ejpam-3308	79	49	be	be	AUX
ejpam-3308	79	50	in	in	ADP
ejpam-3308	79	51	multiple	multiple	ADJ
ejpam-3308	79	52	places	place	NOUN
ejpam-3308	79	53	at	at	ADP
ejpam-3308	79	54	once	once	ADV
ejpam-3308	79	55	[	[	X
ejpam-3308	79	56	11	11	NUM
ejpam-3308	79	57	]	]	PUNCT
ejpam-3308	79	58	.	.	PUNCT
ejpam-3308	80	1	the	the	DET
ejpam-3308	80	2	motivation	motivation	NOUN
ejpam-3308	80	3	to	to	PART
ejpam-3308	80	4	invent	invent	VERB
ejpam-3308	80	5	quantum	quantum	ADJ
ejpam-3308	80	6	tic	tic	NOUN
ejpam-3308	80	7	-	-	PUNCT
ejpam-3308	80	8	tac	tac	NOUN
ejpam-3308	80	9	-	-	PUNCT
ejpam-3308	80	10	toe	toe	NOUN
ejpam-3308	80	11	was	be	AUX
ejpam-3308	80	12	to	to	PART
ejpam-3308	80	13	explore	explore	VERB
ejpam-3308	80	14	what	what	PRON
ejpam-3308	80	15	it	it	PRON
ejpam-3308	80	16	means	mean	VERB
ejpam-3308	80	17	to	to	PART
ejpam-3308	80	18	be	be	AUX
ejpam-3308	80	19	in	in	ADP
ejpam-3308	80	20	two	two	NUM
ejpam-3308	80	21	places	place	NOUN
ejpam-3308	80	22	at	at	ADP
ejpam-3308	80	23	once	once	ADV
ejpam-3308	80	24	.	.	PUNCT
ejpam-3308	81	1	2.2	2.2	NUM
ejpam-3308	81	2	.	.	PUNCT
ejpam-3308	82	1	combinatorial	combinatorial	PROPN
ejpam-3308	82	2	games	game	NOUN
ejpam-3308	82	3	combinatorial	combinatorial	ADJ
ejpam-3308	82	4	games	game	NOUN
ejpam-3308	82	5	are	be	AUX
ejpam-3308	82	6	games	game	NOUN
ejpam-3308	82	7	that	that	PRON
ejpam-3308	82	8	are	be	AUX
ejpam-3308	82	9	played	play	VERB
ejpam-3308	82	10	by	by	ADP
ejpam-3308	82	11	two	two	NUM
ejpam-3308	82	12	persons	person	NOUN
ejpam-3308	82	13	with	with	ADP
ejpam-3308	82	14	no	no	DET
ejpam-3308	82	15	hidden	hidden	ADJ
ejpam-3308	82	16	information	information	NOUN
ejpam-3308	82	17	,	,	PUNCT
ejpam-3308	82	18	no	no	DET
ejpam-3308	82	19	chance	chance	NOUN
ejpam-3308	82	20	moves	move	NOUN
ejpam-3308	82	21	(	(	PUNCT
ejpam-3308	82	22	no	no	DET
ejpam-3308	82	23	dice	dice	NOUN
ejpam-3308	82	24	)	)	PUNCT
ejpam-3308	82	25	and	and	CCONJ
ejpam-3308	82	26	outcome	outcome	NOUN
ejpam-3308	82	27	restricted	restrict	VERB
ejpam-3308	82	28	to	to	PART
ejpam-3308	82	29	(	(	PUNCT
ejpam-3308	82	30	lose	lose	VERB
ejpam-3308	82	31	,	,	PUNCT
ejpam-3308	82	32	win	win	NOUN
ejpam-3308	82	33	)	)	PUNCT
ejpam-3308	82	34	,	,	PUNCT
ejpam-3308	82	35	(	(	PUNCT
ejpam-3308	82	36	tie	tie	NOUN
ejpam-3308	82	37	,	,	PUNCT
ejpam-3308	82	38	tie	tie	NOUN
ejpam-3308	82	39	)	)	PUNCT
ejpam-3308	82	40	and	and	CCONJ
ejpam-3308	82	41	(	(	PUNCT
ejpam-3308	82	42	draw	draw	VERB
ejpam-3308	82	43	,	,	PUNCT
ejpam-3308	82	44	draw	draw	NOUN
ejpam-3308	82	45	)	)	PUNCT
ejpam-3308	82	46	for	for	ADP
ejpam-3308	82	47	the	the	DET
ejpam-3308	82	48	two	two	NUM
ejpam-3308	82	49	players	player	NOUN
ejpam-3308	82	50	who	who	PRON
ejpam-3308	82	51	move	move	VERB
ejpam-3308	82	52	alternately	alternately	ADV
ejpam-3308	82	53	[	[	X
ejpam-3308	82	54	12	12	NUM
ejpam-3308	82	55	]	]	PUNCT
ejpam-3308	82	56	.	.	PUNCT
ejpam-3308	83	1	according	accord	VERB
ejpam-3308	83	2	to	to	ADP
ejpam-3308	83	3	[	[	X
ejpam-3308	83	4	13	13	NUM
ejpam-3308	83	5	]	]	PUNCT
ejpam-3308	83	6	,	,	PUNCT
ejpam-3308	83	7	combinatorial	combinatorial	ADJ
ejpam-3308	83	8	games	game	NOUN
ejpam-3308	83	9	should	should	AUX
ejpam-3308	83	10	satisfy	satisfy	VERB
ejpam-3308	83	11	the	the	DET
ejpam-3308	83	12	following	follow	VERB
ejpam-3308	83	13	conditions	condition	NOUN
ejpam-3308	83	14	;	;	PUNCT
ejpam-3308	83	15	a	a	X
ejpam-3308	83	16	)	)	PUNCT
ejpam-3308	83	17	there	there	PRON
ejpam-3308	83	18	are	be	VERB
ejpam-3308	83	19	two	two	NUM
ejpam-3308	83	20	players	player	NOUN
ejpam-3308	83	21	moving	move	VERB
ejpam-3308	83	22	alternately	alternately	ADV
ejpam-3308	83	23	b	b	NOUN
ejpam-3308	83	24	)	)	PUNCT
ejpam-3308	83	25	there	there	PRON
ejpam-3308	83	26	are	be	VERB
ejpam-3308	83	27	no	no	DET
ejpam-3308	83	28	chance	chance	NOUN
ejpam-3308	83	29	devices	device	NOUN
ejpam-3308	83	30	and	and	CCONJ
ejpam-3308	83	31	both	both	DET
ejpam-3308	83	32	players	player	NOUN
ejpam-3308	83	33	have	have	VERB
ejpam-3308	83	34	perfect	perfect	ADJ
ejpam-3308	83	35	information	information	NOUN
ejpam-3308	83	36	c	c	NOUN
ejpam-3308	83	37	)	)	PUNCT
ejpam-3308	83	38	the	the	DET
ejpam-3308	83	39	rules	rule	NOUN
ejpam-3308	83	40	are	be	AUX
ejpam-3308	83	41	such	such	ADJ
ejpam-3308	83	42	that	that	SCONJ
ejpam-3308	83	43	the	the	DET
ejpam-3308	83	44	game	game	NOUN
ejpam-3308	83	45	must	must	AUX
ejpam-3308	83	46	eventually	eventually	ADV
ejpam-3308	83	47	end	end	VERB
ejpam-3308	83	48	;	;	PUNCT
ejpam-3308	83	49	and	and	CCONJ
ejpam-3308	83	50	d	d	X
ejpam-3308	83	51	)	)	PUNCT
ejpam-3308	83	52	there	there	PRON
ejpam-3308	83	53	are	be	VERB
ejpam-3308	83	54	no	no	DET
ejpam-3308	83	55	draws	draw	NOUN
ejpam-3308	83	56	,	,	PUNCT
ejpam-3308	83	57	and	and	CCONJ
ejpam-3308	83	58	the	the	DET
ejpam-3308	83	59	winner	winner	NOUN
ejpam-3308	83	60	is	be	AUX
ejpam-3308	83	61	determined	determine	VERB
ejpam-3308	83	62	by	by	ADP
ejpam-3308	83	63	who	who	PRON
ejpam-3308	83	64	moves	move	VERB
ejpam-3308	83	65	last	last	ADJ
ejpam-3308	83	66	.	.	PUNCT
ejpam-3308	84	1	when	when	SCONJ
ejpam-3308	84	2	considering	consider	VERB
ejpam-3308	84	3	only	only	ADV
ejpam-3308	84	4	the	the	DET
ejpam-3308	84	5	state	state	NOUN
ejpam-3308	84	6	of	of	ADP
ejpam-3308	84	7	the	the	DET
ejpam-3308	84	8	zaminamina	zaminamina	PROPN
ejpam-3308	84	9	board	board	PROPN
ejpam-3308	84	10	,	,	PUNCT
ejpam-3308	84	11	and	and	CCONJ
ejpam-3308	84	12	after	after	ADP
ejpam-3308	84	13	taking	take	VERB
ejpam-3308	84	14	into	into	ADP
ejpam-3308	84	15	account	account	NOUN
ejpam-3308	84	16	board	board	NOUN
ejpam-3308	84	17	symmetries	symmetry	NOUN
ejpam-3308	84	18	(	(	PUNCT
ejpam-3308	84	19	i.e.	i.e.	X
ejpam-3308	84	20	rotations	rotation	NOUN
ejpam-3308	84	21	and	and	CCONJ
ejpam-3308	84	22	reflections	reflection	NOUN
ejpam-3308	84	23	)	)	PUNCT
ejpam-3308	84	24	,	,	PUNCT
ejpam-3308	84	25	there	there	PRON
ejpam-3308	84	26	are	be	VERB
ejpam-3308	84	27	only	only	ADV
ejpam-3308	84	28	138	138	NUM
ejpam-3308	84	29	terminal	terminal	PROPN
ejpam-3308	84	30	board	board	NOUN
ejpam-3308	84	31	positions	position	NOUN
ejpam-3308	84	32	.	.	PUNCT
ejpam-3308	85	1	assuming	assume	VERB
ejpam-3308	85	2	that	that	SCONJ
ejpam-3308	85	3	x	x	PRON
ejpam-3308	85	4	makes	make	VERB
ejpam-3308	85	5	the	the	DET
ejpam-3308	85	6	first	first	ADJ
ejpam-3308	85	7	move	move	NOUN
ejpam-3308	85	8	every	every	DET
ejpam-3308	85	9	time:[14	time:[14	PROPN
ejpam-3308	85	10	]	]	X
ejpam-3308	85	11	i	i	PROPN
ejpam-3308	85	12	)	)	PUNCT
ejpam-3308	85	13	91	91	NUM
ejpam-3308	85	14	distinct	distinct	ADJ
ejpam-3308	85	15	positions	position	NOUN
ejpam-3308	85	16	are	be	AUX
ejpam-3308	85	17	won	win	VERB
ejpam-3308	85	18	by	by	ADP
ejpam-3308	85	19	(	(	PUNCT
ejpam-3308	85	20	x)[14	x)[14	PROPN
ejpam-3308	85	21	]	]	X
ejpam-3308	85	22	e.	e.	PROPN
ejpam-3308	85	23	k.	k.	PROPN
ejpam-3308	85	24	donkoh	donkoh	PROPN
ejpam-3308	85	25	et	et	PROPN
ejpam-3308	85	26	al	al	PROPN
ejpam-3308	85	27	.	.	PUNCT
ejpam-3308	85	28	/	/	SYM
ejpam-3308	85	29	eur	eur	PROPN
ejpam-3308	85	30	.	.	PUNCT
ejpam-3308	86	1	j.	j.	PROPN
ejpam-3308	86	2	pure	pure	PROPN
ejpam-3308	86	3	appl	appl	PROPN
ejpam-3308	86	4	.	.	PROPN
ejpam-3308	86	5	math	math	PROPN
ejpam-3308	86	6	,	,	PUNCT
ejpam-3308	86	7	12	12	NUM
ejpam-3308	86	8	(	(	PUNCT
ejpam-3308	86	9	1	1	NUM
ejpam-3308	86	10	)	)	PUNCT
ejpam-3308	86	11	(	(	PUNCT
ejpam-3308	86	12	2019	2019	NUM
ejpam-3308	86	13	)	)	PUNCT
ejpam-3308	86	14	,	,	PUNCT
ejpam-3308	86	15	159	159	NUM
ejpam-3308	86	16	-	-	SYM
ejpam-3308	86	17	175	175	NUM
ejpam-3308	86	18	163	163	NUM
ejpam-3308	86	19	ii	ii	NOUN
ejpam-3308	86	20	)	)	PUNCT
ejpam-3308	86	21	44	44	NUM
ejpam-3308	86	22	distinct	distinct	ADJ
ejpam-3308	86	23	positions	position	NOUN
ejpam-3308	86	24	are	be	AUX
ejpam-3308	86	25	won	win	VERB
ejpam-3308	86	26	by	by	ADP
ejpam-3308	86	27	(	(	PUNCT
ejpam-3308	86	28	o)[14	o)[14	PROPN
ejpam-3308	86	29	]	]	X
ejpam-3308	86	30	iii	iii	NOUN
ejpam-3308	86	31	)	)	PUNCT
ejpam-3308	86	32	3	3	NUM
ejpam-3308	86	33	distinct	distinct	ADJ
ejpam-3308	86	34	positions	position	NOUN
ejpam-3308	86	35	are	be	AUX
ejpam-3308	86	36	drawn	draw	VERB
ejpam-3308	86	37	(	(	PUNCT
ejpam-3308	86	38	also	also	ADV
ejpam-3308	86	39	known	know	VERB
ejpam-3308	86	40	as	as	ADP
ejpam-3308	86	41	a	a	DET
ejpam-3308	86	42	cat	cat	NOUN
ejpam-3308	86	43	’s	’s	PART
ejpam-3308	86	44	game[15	game[15	NOUN
ejpam-3308	86	45	]	]	X
ejpam-3308	86	46	)	)	PUNCT
ejpam-3308	86	47	2.3	2.3	NUM
ejpam-3308	86	48	.	.	PUNCT
ejpam-3308	87	1	strategic	strategic	ADJ
ejpam-3308	87	2	form	form	NOUN
ejpam-3308	87	3	of	of	ADP
ejpam-3308	87	4	a	a	DET
ejpam-3308	87	5	game	game	NOUN
ejpam-3308	87	6	there	there	PRON
ejpam-3308	87	7	are	be	VERB
ejpam-3308	87	8	several	several	ADJ
ejpam-3308	87	9	strategies	strategy	NOUN
ejpam-3308	87	10	of	of	ADP
ejpam-3308	87	11	playing	play	VERB
ejpam-3308	87	12	a	a	DET
ejpam-3308	87	13	game	game	NOUN
ejpam-3308	87	14	that	that	PRON
ejpam-3308	87	15	will	will	AUX
ejpam-3308	87	16	either	either	CCONJ
ejpam-3308	87	17	bring	bring	VERB
ejpam-3308	87	18	you	you	PRON
ejpam-3308	87	19	a	a	DET
ejpam-3308	87	20	win	win	NOUN
ejpam-3308	87	21	or	or	CCONJ
ejpam-3308	87	22	a	a	DET
ejpam-3308	87	23	loss	loss	NOUN
ejpam-3308	87	24	.	.	PUNCT
ejpam-3308	88	1	in	in	ADP
ejpam-3308	88	2	the	the	DET
ejpam-3308	88	3	outcomes	outcome	NOUN
ejpam-3308	88	4	,	,	PUNCT
ejpam-3308	88	5	there	there	PRON
ejpam-3308	88	6	exist	exist	VERB
ejpam-3308	88	7	different	different	ADJ
ejpam-3308	88	8	aspects	aspect	NOUN
ejpam-3308	88	9	of	of	ADP
ejpam-3308	88	10	the	the	DET
ejpam-3308	88	11	win	win	NOUN
ejpam-3308	88	12	or	or	CCONJ
ejpam-3308	88	13	lose	lose	VERB
ejpam-3308	88	14	techniques	technique	NOUN
ejpam-3308	88	15	of	of	ADP
ejpam-3308	88	16	which	which	PRON
ejpam-3308	88	17	we	we	PRON
ejpam-3308	88	18	have	have	VERB
ejpam-3308	88	19	the	the	DET
ejpam-3308	88	20	weak	weak	ADJ
ejpam-3308	88	21	win	win	NOUN
ejpam-3308	88	22	and	and	CCONJ
ejpam-3308	88	23	a	a	DET
ejpam-3308	88	24	strong	strong	ADJ
ejpam-3308	88	25	draw	draw	NOUN
ejpam-3308	88	26	,	,	PUNCT
ejpam-3308	88	27	win	win	VERB
ejpam-3308	88	28	versus	versus	ADP
ejpam-3308	88	29	weak	weak	ADJ
ejpam-3308	88	30	win	win	NOUN
ejpam-3308	88	31	.	.	PUNCT
ejpam-3308	89	1	the	the	DET
ejpam-3308	89	2	situation	situation	NOUN
ejpam-3308	89	3	where	where	SCONJ
ejpam-3308	89	4	a	a	DET
ejpam-3308	89	5	player	player	NOUN
ejpam-3308	89	6	gets	get	VERB
ejpam-3308	89	7	a	a	DET
ejpam-3308	89	8	strong	strong	ADJ
ejpam-3308	89	9	win	win	NOUN
ejpam-3308	89	10	is	be	AUX
ejpam-3308	89	11	when	when	SCONJ
ejpam-3308	89	12	the	the	DET
ejpam-3308	89	13	opponent	opponent	NOUN
ejpam-3308	89	14	player	player	NOUN
ejpam-3308	89	15	plays	play	VERB
ejpam-3308	89	16	a	a	DET
ejpam-3308	89	17	strong	strong	ADJ
ejpam-3308	89	18	lose	lose	NOUN
ejpam-3308	89	19	that	that	PRON
ejpam-3308	89	20	is	be	AUX
ejpam-3308	89	21	to	to	PART
ejpam-3308	89	22	say	say	VERB
ejpam-3308	89	23	he	he	PRON
ejpam-3308	89	24	or	or	CCONJ
ejpam-3308	89	25	she	she	PRON
ejpam-3308	89	26	plays	play	VERB
ejpam-3308	89	27	a	a	DET
ejpam-3308	89	28	mistake	mistake	NOUN
ejpam-3308	89	29	and	and	CCONJ
ejpam-3308	89	30	the	the	DET
ejpam-3308	89	31	other	other	ADJ
ejpam-3308	89	32	player	player	NOUN
ejpam-3308	89	33	plays	play	VERB
ejpam-3308	89	34	a	a	DET
ejpam-3308	89	35	pure	pure	ADJ
ejpam-3308	89	36	strategy	strategy	NOUN
ejpam-3308	89	37	game	game	NOUN
ejpam-3308	89	38	to	to	PART
ejpam-3308	89	39	win	win	VERB
ejpam-3308	89	40	.	.	PUNCT
ejpam-3308	90	1	a	a	DET
ejpam-3308	90	2	player	player	NOUN
ejpam-3308	90	3	can	can	AUX
ejpam-3308	90	4	play	play	VERB
ejpam-3308	90	5	a	a	DET
ejpam-3308	90	6	perfect	perfect	ADJ
ejpam-3308	90	7	game	game	NOUN
ejpam-3308	90	8	of	of	ADP
ejpam-3308	90	9	zaminamina	zaminamina	PROPN
ejpam-3308	90	10	draft	draft	NOUN
ejpam-3308	90	11	(	(	PUNCT
ejpam-3308	90	12	to	to	PART
ejpam-3308	90	13	win	win	VERB
ejpam-3308	90	14	or	or	CCONJ
ejpam-3308	90	15	,	,	PUNCT
ejpam-3308	90	16	at	at	ADP
ejpam-3308	90	17	least	least	ADJ
ejpam-3308	90	18	,	,	PUNCT
ejpam-3308	90	19	draw	draw	VERB
ejpam-3308	90	20	)	)	PUNCT
ejpam-3308	90	21	if	if	SCONJ
ejpam-3308	90	22	they	they	PRON
ejpam-3308	90	23	choose	choose	VERB
ejpam-3308	90	24	the	the	DET
ejpam-3308	90	25	first	first	ADJ
ejpam-3308	90	26	available	available	ADJ
ejpam-3308	90	27	move	move	NOUN
ejpam-3308	90	28	from	from	ADP
ejpam-3308	90	29	the	the	DET
ejpam-3308	90	30	following	follow	VERB
ejpam-3308	90	31	list	list	NOUN
ejpam-3308	90	32	,	,	PUNCT
ejpam-3308	90	33	each	each	DET
ejpam-3308	90	34	turn	turn	NOUN
ejpam-3308	90	35	,	,	PUNCT
ejpam-3308	90	36	as	as	SCONJ
ejpam-3308	90	37	used	use	VERB
ejpam-3308	90	38	in	in	ADP
ejpam-3308	90	39	newell	newell	PROPN
ejpam-3308	90	40	and	and	CCONJ
ejpam-3308	90	41	simon	simon	PROPN
ejpam-3308	90	42	’s	’s	PART
ejpam-3308	90	43	tic	tic	PROPN
ejpam-3308	90	44	-	-	PUNCT
ejpam-3308	90	45	tac	tac	NOUN
ejpam-3308	90	46	-	-	PUNCT
ejpam-3308	90	47	toe	toe	NOUN
ejpam-3308	90	48	program	program	NOUN
ejpam-3308	90	49	[	[	X
ejpam-3308	90	50	16	16	NUM
ejpam-3308	90	51	]	]	PUNCT
ejpam-3308	90	52	.	.	PUNCT
ejpam-3308	91	1	the	the	DET
ejpam-3308	91	2	strategic	strategic	ADJ
ejpam-3308	91	3	form	form	NOUN
ejpam-3308	91	4	of	of	ADP
ejpam-3308	91	5	a	a	DET
ejpam-3308	91	6	two	two	NUM
ejpam-3308	91	7	-	-	PUNCT
ejpam-3308	91	8	person	person	NOUN
ejpam-3308	91	9	zero	zero	NUM
ejpam-3308	91	10	-	-	PUNCT
ejpam-3308	91	11	sum	sum	NOUN
ejpam-3308	91	12	game	game	NOUN
ejpam-3308	91	13	is	be	AUX
ejpam-3308	91	14	given	give	VERB
ejpam-3308	91	15	by	by	ADP
ejpam-3308	91	16	a	a	DET
ejpam-3308	91	17	triplet	triplet	NOUN
ejpam-3308	91	18	(	(	PUNCT
ejpam-3308	91	19	x	x	NOUN
ejpam-3308	91	20	,	,	PUNCT
ejpam-3308	91	21	y	y	PROPN
ejpam-3308	91	22	,	,	PUNCT
ejpam-3308	91	23	a	a	PRON
ejpam-3308	91	24	)	)	PUNCT
ejpam-3308	91	25	,	,	PUNCT
ejpam-3308	91	26	where	where	SCONJ
ejpam-3308	91	27	a	a	X
ejpam-3308	91	28	)	)	PUNCT
ejpam-3308	91	29	x	x	X
ejpam-3308	91	30	is	be	AUX
ejpam-3308	91	31	a	a	DET
ejpam-3308	91	32	nonempty	nonempty	ADJ
ejpam-3308	91	33	set	set	NOUN
ejpam-3308	91	34	,	,	PUNCT
ejpam-3308	91	35	the	the	DET
ejpam-3308	91	36	set	set	NOUN
ejpam-3308	91	37	of	of	ADP
ejpam-3308	91	38	strategies	strategy	NOUN
ejpam-3308	91	39	of	of	ADP
ejpam-3308	91	40	player	player	NOUN
ejpam-3308	91	41	i	i	NOUN
ejpam-3308	91	42	b	b	PROPN
ejpam-3308	91	43	)	)	PUNCT
ejpam-3308	91	44	y	y	PROPN
ejpam-3308	91	45	is	be	AUX
ejpam-3308	91	46	a	a	DET
ejpam-3308	91	47	nonempty	nonempty	ADJ
ejpam-3308	91	48	set	set	NOUN
ejpam-3308	91	49	,	,	PUNCT
ejpam-3308	91	50	the	the	DET
ejpam-3308	91	51	set	set	NOUN
ejpam-3308	91	52	of	of	ADP
ejpam-3308	91	53	strategies	strategy	NOUN
ejpam-3308	91	54	of	of	ADP
ejpam-3308	91	55	player	player	NOUN
ejpam-3308	91	56	ii	ii	PROPN
ejpam-3308	91	57	c	c	PROPN
ejpam-3308	91	58	)	)	PUNCT
ejpam-3308	91	59	a	a	PRON
ejpam-3308	91	60	is	be	AUX
ejpam-3308	91	61	a	a	DET
ejpam-3308	91	62	real	real	ADV
ejpam-3308	91	63	-	-	PUNCT
ejpam-3308	91	64	valued	value	VERB
ejpam-3308	91	65	function	function	NOUN
ejpam-3308	91	66	defined	define	VERB
ejpam-3308	91	67	on	on	ADP
ejpam-3308	91	68	x×y	x×y	PROPN
ejpam-3308	91	69	which	which	PRON
ejpam-3308	91	70	is	be	AUX
ejpam-3308	91	71	the	the	DET
ejpam-3308	91	72	3×3	3×3	NUM
ejpam-3308	91	73	matrix	matrix	NOUN
ejpam-3308	91	74	grid	grid	NOUN
ejpam-3308	91	75	board	board	NOUN
ejpam-3308	91	76	representation	representation	NOUN
ejpam-3308	91	77	.	.	PUNCT
ejpam-3308	92	1	a(x	a(x	NOUN
ejpam-3308	92	2	,	,	PUNCT
ejpam-3308	92	3	y	y	NOUN
ejpam-3308	92	4	)	)	PUNCT
ejpam-3308	92	5	is	be	AUX
ejpam-3308	92	6	a	a	DET
ejpam-3308	92	7	real	real	ADJ
ejpam-3308	92	8	number	number	NOUN
ejpam-3308	92	9	for	for	ADP
ejpam-3308	92	10	every	every	DET
ejpam-3308	92	11	x∈x	x∈x	NOUN
ejpam-3308	92	12	and	and	CCONJ
ejpam-3308	92	13	every	every	DET
ejpam-3308	92	14	y∈y	y∈y	NOUN
ejpam-3308	92	15	.	.	PUNCT
ejpam-3308	93	1	assuming	assume	VERB
ejpam-3308	93	2	player	player	NOUN
ejpam-3308	93	3	i	i	PRON
ejpam-3308	93	4	chooses	choose	VERB
ejpam-3308	93	5	x∈x	x∈x	PROPN
ejpam-3308	93	6	and	and	CCONJ
ejpam-3308	93	7	player	player	PROPN
ejpam-3308	93	8	ii	ii	PROPN
ejpam-3308	93	9	chooses	choose	VERB
ejpam-3308	93	10	y∈y	y∈y	PROPN
ejpam-3308	93	11	,	,	PUNCT
ejpam-3308	93	12	each	each	PRON
ejpam-3308	93	13	unaware	unaware	ADJ
ejpam-3308	93	14	of	of	ADP
ejpam-3308	93	15	the	the	DET
ejpam-3308	93	16	choice	choice	NOUN
ejpam-3308	93	17	of	of	ADP
ejpam-3308	93	18	the	the	DET
ejpam-3308	93	19	other	other	ADJ
ejpam-3308	93	20	.	.	PUNCT
ejpam-3308	94	1	then	then	ADV
ejpam-3308	94	2	their	their	PRON
ejpam-3308	94	3	choices	choice	NOUN
ejpam-3308	94	4	are	be	AUX
ejpam-3308	94	5	made	make	VERB
ejpam-3308	94	6	known	known	ADJ
ejpam-3308	94	7	and	and	CCONJ
ejpam-3308	94	8	player	player	NOUN
ejpam-3308	94	9	i	i	PRON
ejpam-3308	94	10	win	win	VERB
ejpam-3308	94	11	the	the	DET
ejpam-3308	94	12	amount	amount	NOUN
ejpam-3308	94	13	a(x	a(x	NOUN
ejpam-3308	94	14	,	,	PUNCT
ejpam-3308	94	15	y	y	NOUN
ejpam-3308	94	16	)	)	PUNCT
ejpam-3308	94	17	from	from	ADP
ejpam-3308	94	18	player	player	PROPN
ejpam-3308	94	19	ii	ii	PROPN
ejpam-3308	94	20	.	.	PROPN
ejpam-3308	95	1	which	which	PRON
ejpam-3308	95	2	indicates	indicate	VERB
ejpam-3308	95	3	that	that	SCONJ
ejpam-3308	95	4	the	the	DET
ejpam-3308	95	5	mistake	mistake	NOUN
ejpam-3308	95	6	of	of	ADP
ejpam-3308	95	7	player	player	NOUN
ejpam-3308	95	8	i	i	PRON
ejpam-3308	95	9	will	will	AUX
ejpam-3308	95	10	give	give	VERB
ejpam-3308	95	11	player	player	NOUN
ejpam-3308	95	12	ii	ii	PROPN
ejpam-3308	95	13	the	the	DET
ejpam-3308	95	14	chance	chance	NOUN
ejpam-3308	95	15	of	of	ADP
ejpam-3308	95	16	winning	win	VERB
ejpam-3308	95	17	the	the	DET
ejpam-3308	95	18	game	game	NOUN
ejpam-3308	95	19	.	.	PUNCT
ejpam-3308	96	1	when	when	SCONJ
ejpam-3308	96	2	a(x	a(x	NOUN
ejpam-3308	96	3	,	,	PUNCT
ejpam-3308	96	4	y	y	NOUN
ejpam-3308	96	5	)	)	PUNCT
ejpam-3308	96	6	is	be	AUX
ejpam-3308	96	7	positive	positive	ADJ
ejpam-3308	96	8	,	,	PUNCT
ejpam-3308	96	9	it	it	PRON
ejpam-3308	96	10	indicates	indicate	VERB
ejpam-3308	96	11	a	a	DET
ejpam-3308	96	12	win	win	NOUN
ejpam-3308	96	13	for	for	ADP
ejpam-3308	96	14	player	player	NOUN
ejpam-3308	96	15	i	i	PRON
ejpam-3308	96	16	and	and	CCONJ
ejpam-3308	96	17	if	if	SCONJ
ejpam-3308	96	18	a(x	a(x	NOUN
ejpam-3308	96	19	,	,	PUNCT
ejpam-3308	96	20	y	y	NOUN
ejpam-3308	96	21	)	)	PUNCT
ejpam-3308	96	22	is	be	AUX
ejpam-3308	96	23	negative	negative	ADJ
ejpam-3308	96	24	,	,	PUNCT
ejpam-3308	96	25	it	it	PRON
ejpam-3308	96	26	indicates	indicate	VERB
ejpam-3308	96	27	a	a	DET
ejpam-3308	96	28	lose	lose	NOUN
ejpam-3308	96	29	of	of	ADP
ejpam-3308	96	30	player	player	NOUN
ejpam-3308	96	31	i	i	PRON
ejpam-3308	96	32	over	over	ADP
ejpam-3308	96	33	player	player	PROPN
ejpam-3308	96	34	ii	ii	PROPN
ejpam-3308	96	35	.	.	PUNCT
ejpam-3308	97	1	thus	thus	ADV
ejpam-3308	97	2	,	,	PUNCT
ejpam-3308	97	3	a(x	a(x	PROPN
ejpam-3308	97	4	,	,	PUNCT
ejpam-3308	97	5	y	y	NOUN
ejpam-3308	97	6	)	)	PUNCT
ejpam-3308	97	7	represents	represent	VERB
ejpam-3308	97	8	the	the	DET
ejpam-3308	97	9	winnings	winning	NOUN
ejpam-3308	97	10	of	of	ADP
ejpam-3308	97	11	player	player	NOUN
ejpam-3308	97	12	i	i	PRON
ejpam-3308	97	13	and	and	CCONJ
ejpam-3308	97	14	the	the	DET
ejpam-3308	97	15	losses	loss	NOUN
ejpam-3308	97	16	of	of	ADP
ejpam-3308	97	17	player	player	PROPN
ejpam-3308	97	18	ii	ii	PROPN
ejpam-3308	97	19	.	.	PROPN
ejpam-3308	98	1	2.4	2.4	NUM
ejpam-3308	98	2	.	.	PUNCT
ejpam-3308	99	1	pure	pure	ADJ
ejpam-3308	99	2	strategy	strategy	NOUN
ejpam-3308	99	3	and	and	CCONJ
ejpam-3308	99	4	mixed	mixed	ADJ
ejpam-3308	99	5	strategy	strategy	NOUN
ejpam-3308	99	6	taking	take	VERB
ejpam-3308	99	7	the	the	DET
ejpam-3308	99	8	case	case	NOUN
ejpam-3308	99	9	of	of	ADP
ejpam-3308	99	10	(	(	PUNCT
ejpam-3308	99	11	x	x	NOUN
ejpam-3308	99	12	,	,	PUNCT
ejpam-3308	99	13	y	y	PROPN
ejpam-3308	99	14	,	,	PUNCT
ejpam-3308	99	15	a	a	PRON
ejpam-3308	99	16	)	)	PUNCT
ejpam-3308	99	17	.	.	PUNCT
ejpam-3308	100	1	the	the	DET
ejpam-3308	100	2	various	various	ADJ
ejpam-3308	100	3	pure	pure	ADJ
ejpam-3308	100	4	strategies	strategy	NOUN
ejpam-3308	100	5	of	of	ADP
ejpam-3308	100	6	both	both	DET
ejpam-3308	100	7	players	player	NOUN
ejpam-3308	100	8	is	be	AUX
ejpam-3308	100	9	that	that	DET
ejpam-3308	100	10	player	player	NOUN
ejpam-3308	100	11	i	i	PRON
ejpam-3308	100	12	which	which	PRON
ejpam-3308	100	13	is	be	AUX
ejpam-3308	100	14	x	x	X
ejpam-3308	100	15	’s	’s	PART
ejpam-3308	100	16	pure	pure	ADJ
ejpam-3308	100	17	strategy	strategy	NOUN
ejpam-3308	100	18	is	be	AUX
ejpam-3308	100	19	to	to	PART
ejpam-3308	100	20	have	have	VERB
ejpam-3308	100	21	a	a	DET
ejpam-3308	100	22	winning	win	VERB
ejpam-3308	100	23	game	game	NOUN
ejpam-3308	100	24	and	and	CCONJ
ejpam-3308	100	25	player	player	NOUN
ejpam-3308	100	26	ii	ii	PROPN
ejpam-3308	100	27	which	which	PRON
ejpam-3308	100	28	is	be	AUX
ejpam-3308	100	29	a	a	DET
ejpam-3308	100	30	y	y	PROPN
ejpam-3308	100	31	’s	’s	PART
ejpam-3308	100	32	pure	pure	ADJ
ejpam-3308	100	33	strategy	strategy	NOUN
ejpam-3308	100	34	is	be	AUX
ejpam-3308	100	35	also	also	ADV
ejpam-3308	100	36	to	to	PART
ejpam-3308	100	37	have	have	VERB
ejpam-3308	100	38	a	a	DET
ejpam-3308	100	39	winning	win	VERB
ejpam-3308	100	40	game	game	NOUN
ejpam-3308	100	41	.	.	PUNCT
ejpam-3308	101	1	if	if	SCONJ
ejpam-3308	101	2	both	both	DET
ejpam-3308	101	3	players	player	NOUN
ejpam-3308	101	4	only	only	ADV
ejpam-3308	101	5	play	play	VERB
ejpam-3308	101	6	with	with	ADP
ejpam-3308	101	7	the	the	DET
ejpam-3308	101	8	mindset	mindset	NOUN
ejpam-3308	101	9	of	of	ADP
ejpam-3308	101	10	playing	play	VERB
ejpam-3308	101	11	an	an	DET
ejpam-3308	101	12	average	average	ADJ
ejpam-3308	101	13	game	game	NOUN
ejpam-3308	101	14	thereby	thereby	ADV
ejpam-3308	101	15	not	not	PART
ejpam-3308	101	16	aiming	aim	VERB
ejpam-3308	101	17	at	at	ADP
ejpam-3308	101	18	winning	win	VERB
ejpam-3308	101	19	but	but	CCONJ
ejpam-3308	101	20	blocking	block	VERB
ejpam-3308	101	21	the	the	DET
ejpam-3308	101	22	other	other	ADJ
ejpam-3308	101	23	player	player	NOUN
ejpam-3308	101	24	from	from	ADP
ejpam-3308	101	25	winning	win	VERB
ejpam-3308	101	26	the	the	DET
ejpam-3308	101	27	game	game	NOUN
ejpam-3308	101	28	thereby	thereby	ADV
ejpam-3308	101	29	bringing	bring	VERB
ejpam-3308	101	30	it	it	PRON
ejpam-3308	101	31	to	to	ADP
ejpam-3308	101	32	a	a	DET
ejpam-3308	101	33	tie	tie	NOUN
ejpam-3308	101	34	.	.	PUNCT
ejpam-3308	102	1	this	this	PRON
ejpam-3308	102	2	is	be	AUX
ejpam-3308	102	3	called	call	VERB
ejpam-3308	102	4	mixed	mixed	ADJ
ejpam-3308	102	5	strategy	strategy	NOUN
ejpam-3308	102	6	.	.	PUNCT
ejpam-3308	103	1	definition	definition	NOUN
ejpam-3308	103	2	2	2	NUM
ejpam-3308	103	3	.	.	PUNCT
ejpam-3308	104	1	(	(	PUNCT
ejpam-3308	104	2	minimax	minimax	NOUN
ejpam-3308	104	3	algorithm	algorithm	NOUN
ejpam-3308	104	4	theorem	theorem	NOUN
ejpam-3308	104	5	)	)	PUNCT
ejpam-3308	104	6	.	.	PUNCT
ejpam-3308	105	1	for	for	ADP
ejpam-3308	105	2	every	every	DET
ejpam-3308	105	3	finite	finite	ADJ
ejpam-3308	105	4	two	two	NUM
ejpam-3308	105	5	-	-	PUNCT
ejpam-3308	105	6	person	person	NOUN
ejpam-3308	105	7	zero	zero	NUM
ejpam-3308	105	8	-	-	PUNCT
ejpam-3308	105	9	sum	sum	NOUN
ejpam-3308	105	10	game	game	NOUN
ejpam-3308	105	11	a	a	NOUN
ejpam-3308	105	12	)	)	PUNCT
ejpam-3308	105	13	there	there	PRON
ejpam-3308	105	14	is	be	VERB
ejpam-3308	105	15	a	a	DET
ejpam-3308	105	16	number	number	NOUN
ejpam-3308	105	17	v	v	NOUN
ejpam-3308	105	18	,	,	PUNCT
ejpam-3308	105	19	called	call	VERB
ejpam-3308	105	20	the	the	DET
ejpam-3308	105	21	value	value	NOUN
ejpam-3308	105	22	of	of	ADP
ejpam-3308	105	23	the	the	DET
ejpam-3308	105	24	game	game	NOUN
ejpam-3308	105	25	,	,	PUNCT
ejpam-3308	105	26	b	b	X
ejpam-3308	105	27	)	)	PUNCT
ejpam-3308	105	28	there	there	PRON
ejpam-3308	105	29	is	be	VERB
ejpam-3308	105	30	a	a	DET
ejpam-3308	105	31	mixed	mixed	ADJ
ejpam-3308	105	32	strategy	strategy	NOUN
ejpam-3308	105	33	for	for	ADP
ejpam-3308	105	34	player	player	NOUN
ejpam-3308	105	35	i	i	PRON
ejpam-3308	105	36	such	such	ADJ
ejpam-3308	105	37	that	that	SCONJ
ejpam-3308	105	38	i	i	PRON
ejpam-3308	105	39	’s	’	VERB
ejpam-3308	105	40	average	average	ADJ
ejpam-3308	105	41	gain	gain	NOUN
ejpam-3308	105	42	is	be	AUX
ejpam-3308	105	43	at	at	ADP
ejpam-3308	105	44	least	least	ADJ
ejpam-3308	105	45	v	v	NOUN
ejpam-3308	105	46	,	,	PUNCT
ejpam-3308	105	47	no	no	ADV
ejpam-3308	105	48	matter	matter	ADV
ejpam-3308	105	49	what	what	PRON
ejpam-3308	105	50	ii	ii	NOUN
ejpam-3308	105	51	does	do	VERB
ejpam-3308	105	52	,	,	PUNCT
ejpam-3308	105	53	and	and	CCONJ
ejpam-3308	105	54	e.	e.	PROPN
ejpam-3308	105	55	k.	k.	PROPN
ejpam-3308	105	56	donkoh	donkoh	PROPN
ejpam-3308	106	1	et	et	PROPN
ejpam-3308	106	2	al	al	PROPN
ejpam-3308	106	3	.	.	PUNCT
ejpam-3308	106	4	/	/	SYM
ejpam-3308	106	5	eur	eur	PROPN
ejpam-3308	106	6	.	.	PUNCT
ejpam-3308	107	1	j.	j.	PROPN
ejpam-3308	107	2	pure	pure	PROPN
ejpam-3308	107	3	appl	appl	PROPN
ejpam-3308	107	4	.	.	PROPN
ejpam-3308	107	5	math	math	PROPN
ejpam-3308	107	6	,	,	PUNCT
ejpam-3308	107	7	12	12	NUM
ejpam-3308	107	8	(	(	PUNCT
ejpam-3308	107	9	1	1	NUM
ejpam-3308	107	10	)	)	PUNCT
ejpam-3308	107	11	(	(	PUNCT
ejpam-3308	107	12	2019	2019	NUM
ejpam-3308	107	13	)	)	PUNCT
ejpam-3308	107	14	,	,	PUNCT
ejpam-3308	107	15	159	159	NUM
ejpam-3308	107	16	-	-	SYM
ejpam-3308	107	17	175	175	NUM
ejpam-3308	107	18	164	164	NUM
ejpam-3308	107	19	c	c	NOUN
ejpam-3308	107	20	)	)	PUNCT
ejpam-3308	107	21	there	there	PRON
ejpam-3308	107	22	is	be	VERB
ejpam-3308	107	23	a	a	DET
ejpam-3308	107	24	mixed	mixed	ADJ
ejpam-3308	107	25	strategy	strategy	NOUN
ejpam-3308	107	26	for	for	ADP
ejpam-3308	107	27	player	player	NOUN
ejpam-3308	107	28	ii	ii	PROPN
ejpam-3308	107	29	such	such	ADJ
ejpam-3308	107	30	that	that	PRON
ejpam-3308	107	31	ii	ii	PROPN
ejpam-3308	107	32	’s	’s	PART
ejpam-3308	107	33	average	average	ADJ
ejpam-3308	107	34	loss	loss	NOUN
ejpam-3308	107	35	is	be	AUX
ejpam-3308	107	36	at	at	ADP
ejpam-3308	107	37	most	most	ADJ
ejpam-3308	107	38	v	v	NOUN
ejpam-3308	107	39	,	,	PUNCT
ejpam-3308	107	40	no	no	ADV
ejpam-3308	107	41	matter	matter	ADV
ejpam-3308	107	42	what	what	PRON
ejpam-3308	107	43	i	i	PRON
ejpam-3308	107	44	do	do	VERB
ejpam-3308	107	45	.	.	PUNCT
ejpam-3308	108	1	if	if	SCONJ
ejpam-3308	108	2	v	v	NOUN
ejpam-3308	108	3	is	be	AUX
ejpam-3308	108	4	zero	zero	NUM
ejpam-3308	108	5	(	(	PUNCT
ejpam-3308	108	6	0	0	NUM
ejpam-3308	108	7	)	)	PUNCT
ejpam-3308	108	8	we	we	PRON
ejpam-3308	108	9	say	say	VERB
ejpam-3308	108	10	the	the	DET
ejpam-3308	108	11	game	game	NOUN
ejpam-3308	108	12	is	be	AUX
ejpam-3308	108	13	fair	fair	ADJ
ejpam-3308	108	14	.	.	PUNCT
ejpam-3308	109	1	if	if	SCONJ
ejpam-3308	109	2	v	v	NOUN
ejpam-3308	109	3	is	be	AUX
ejpam-3308	109	4	positive	positive	ADJ
ejpam-3308	109	5	(	(	PUNCT
ejpam-3308	109	6	+1	+1	PROPN
ejpam-3308	109	7	)	)	PUNCT
ejpam-3308	109	8	,	,	PUNCT
ejpam-3308	109	9	we	we	PRON
ejpam-3308	109	10	say	say	VERB
ejpam-3308	109	11	the	the	DET
ejpam-3308	109	12	game	game	NOUN
ejpam-3308	109	13	favoursplayer	favoursplayer	NOUN
ejpam-3308	109	14	i	i	PRON
ejpam-3308	109	15	,	,	PUNCT
ejpam-3308	109	16	while	while	SCONJ
ejpam-3308	109	17	if	if	SCONJ
ejpam-3308	109	18	v	v	NOUN
ejpam-3308	109	19	is	be	AUX
ejpam-3308	109	20	negative	negative	ADJ
ejpam-3308	109	21	(	(	PUNCT
ejpam-3308	109	22	-1	-1	ADJ
ejpam-3308	109	23	)	)	PUNCT
ejpam-3308	109	24	,	,	PUNCT
ejpam-3308	109	25	we	we	PRON
ejpam-3308	109	26	say	say	VERB
ejpam-3308	109	27	the	the	DET
ejpam-3308	109	28	game	game	NOUN
ejpam-3308	109	29	favours	favour	VERB
ejpam-3308	109	30	player	player	PROPN
ejpam-3308	109	31	ii	ii	PROPN
ejpam-3308	109	32	.	.	PUNCT
ejpam-3308	110	1	definition	definition	NOUN
ejpam-3308	110	2	3	3	NUM
ejpam-3308	110	3	.	.	PUNCT
ejpam-3308	110	4	(	(	PUNCT
ejpam-3308	110	5	successor	successor	NOUN
ejpam-3308	110	6	)	)	PUNCT
ejpam-3308	110	7	.	.	PUNCT
ejpam-3308	111	1	let	let	VERB
ejpam-3308	111	2	a	a	PRON
ejpam-3308	111	3	be	be	AUX
ejpam-3308	111	4	the	the	DET
ejpam-3308	111	5	set	set	NOUN
ejpam-3308	111	6	of	of	ADP
ejpam-3308	111	7	all	all	DET
ejpam-3308	111	8	possible	possible	ADJ
ejpam-3308	111	9	zaminamina	zaminamina	NOUN
ejpam-3308	111	10	boards	board	NOUN
ejpam-3308	111	11	.	.	PUNCT
ejpam-3308	112	1	a	a	DET
ejpam-3308	112	2	move	move	NOUN
ejpam-3308	112	3	b	b	NOUN
ejpam-3308	112	4	is	be	AUX
ejpam-3308	112	5	called	call	VERB
ejpam-3308	112	6	legal	legal	ADJ
ejpam-3308	112	7	in	in	ADP
ejpam-3308	112	8	a∈a	a∈a	ADJ
ejpam-3308	112	9	if	if	SCONJ
ejpam-3308	112	10	according	accord	VERB
ejpam-3308	112	11	to	to	ADP
ejpam-3308	112	12	the	the	DET
ejpam-3308	112	13	rules	rule	NOUN
ejpam-3308	112	14	of	of	ADP
ejpam-3308	112	15	the	the	DET
ejpam-3308	112	16	game	game	NOUN
ejpam-3308	112	17	,	,	PUNCT
ejpam-3308	112	18	b	b	PROPN
ejpam-3308	112	19	is	be	AUX
ejpam-3308	112	20	a	a	DET
ejpam-3308	112	21	possible	possible	ADJ
ejpam-3308	112	22	move	move	NOUN
ejpam-3308	112	23	at	at	ADP
ejpam-3308	112	24	board	board	NOUN
ejpam-3308	112	25	a.	a.	NOUN
ejpam-3308	112	26	a+	a+	PUNCT
ejpam-3308	112	27	a	a	PRON
ejpam-3308	112	28	is	be	AUX
ejpam-3308	112	29	defined	define	VERB
ejpam-3308	112	30	as	as	ADP
ejpam-3308	112	31	the	the	DET
ejpam-3308	112	32	board	board	NOUN
ejpam-3308	112	33	resulting	result	VERB
ejpam-3308	112	34	performing	perform	VERB
ejpam-3308	112	35	move	move	NOUN
ejpam-3308	112	36	a	a	PRON
ejpam-3308	112	37	at	at	ADP
ejpam-3308	112	38	state	state	NOUN
ejpam-3308	112	39	a.	a.	NOUN
ejpam-3308	112	40	furthermore	furthermore	ADV
ejpam-3308	112	41	,	,	PUNCT
ejpam-3308	112	42	define	define	VERB
ejpam-3308	112	43	the	the	DET
ejpam-3308	112	44	set	set	NOUN
ejpam-3308	112	45	of	of	ADP
ejpam-3308	112	46	successors	successor	NOUN
ejpam-3308	112	47	of	of	ADP
ejpam-3308	112	48	a	a	PRON
ejpam-3308	112	49	by	by	ADP
ejpam-3308	112	50	s(a	s(a	PROPN
ejpam-3308	112	51	)	)	PUNCT
ejpam-3308	112	52	=	=	PUNCT
ejpam-3308	113	1	(	(	PUNCT
ejpam-3308	113	2	a+	a+	PUNCT
ejpam-3308	113	3	a	a	DET
ejpam-3308	113	4	|	|	NOUN
ejpam-3308	113	5	a	a	DET
ejpam-3308	113	6	legal	legal	ADJ
ejpam-3308	113	7	in	in	ADP
ejpam-3308	113	8	a	a	PRON
ejpam-3308	113	9	)	)	PUNCT
ejpam-3308	113	10	in	in	ADP
ejpam-3308	113	11	other	other	ADJ
ejpam-3308	113	12	words	word	NOUN
ejpam-3308	113	13	,	,	PUNCT
ejpam-3308	113	14	s(a	s(a	PROPN
ejpam-3308	113	15	)	)	PUNCT
ejpam-3308	113	16	contains	contain	VERB
ejpam-3308	113	17	all	all	DET
ejpam-3308	113	18	boards	board	NOUN
ejpam-3308	113	19	resulting	result	VERB
ejpam-3308	113	20	from	from	ADP
ejpam-3308	113	21	legal	legal	ADJ
ejpam-3308	113	22	moves	move	NOUN
ejpam-3308	113	23	in	in	ADP
ejpam-3308	113	24	a.	a.	NOUN
ejpam-3308	113	25	definition	definition	NOUN
ejpam-3308	113	26	4	4	NUM
ejpam-3308	113	27	.	.	PUNCT
ejpam-3308	114	1	(	(	PUNCT
ejpam-3308	114	2	terminal	terminal	ADJ
ejpam-3308	114	3	boards	board	NOUN
ejpam-3308	114	4	theorem	theorem	VERB
ejpam-3308	114	5	)	)	PUNCT
ejpam-3308	114	6	a	a	DET
ejpam-3308	114	7	board	board	NOUN
ejpam-3308	114	8	b	b	PROPN
ejpam-3308	114	9	is	be	AUX
ejpam-3308	114	10	called	call	VERB
ejpam-3308	114	11	terminal	terminal	ADJ
ejpam-3308	114	12	if	if	SCONJ
ejpam-3308	114	13	s(b	s(b	NOUN
ejpam-3308	114	14	)	)	PUNCT
ejpam-3308	115	1	=	=	SYM
ejpam-3308	115	2	φ	φ	X
ejpam-3308	115	3	;	;	PUNCT
ejpam-3308	115	4	i.e.	i.e.	X
ejpam-3308	115	5	the	the	DET
ejpam-3308	115	6	game	game	NOUN
ejpam-3308	115	7	ends	end	VERB
ejpam-3308	115	8	in	in	ADP
ejpam-3308	115	9	b	b	NOUN
ejpam-3308	115	10	with	with	ADP
ejpam-3308	115	11	a	a	DET
ejpam-3308	115	12	win	win	NOUN
ejpam-3308	115	13	for	for	ADP
ejpam-3308	115	14	player	player	NOUN
ejpam-3308	115	15	’	'	PUNCT
ejpam-3308	115	16	x	x	SYM
ejpam-3308	115	17	’	'	PUNCT
ejpam-3308	115	18	,	,	PUNCT
ejpam-3308	115	19	win	win	VERB
ejpam-3308	115	20	for	for	ADP
ejpam-3308	115	21	player	player	NOUN
ejpam-3308	115	22	’	'	PUNCT
ejpam-3308	115	23	o	o	NOUN
ejpam-3308	115	24	’	'	PUNCT
ejpam-3308	115	25	or	or	CCONJ
ejpam-3308	115	26	draw	draw	VERB
ejpam-3308	115	27	.	.	PUNCT
ejpam-3308	116	1	proof	proof	NOUN
ejpam-3308	116	2	.	.	PUNCT
ejpam-3308	117	1	let	let	VERB
ejpam-3308	117	2	s(b)={1,2,3,4,5,6,7,8,9	s(b)={1,2,3,4,5,6,7,8,9	VERB
ejpam-3308	117	3	}	}	PUNCT
ejpam-3308	117	4	where	where	SCONJ
ejpam-3308	117	5	x∈odd	x∈odd	PROPN
ejpam-3308	117	6	and	and	CCONJ
ejpam-3308	117	7	o∈even	o∈even	PROPN
ejpam-3308	117	8	.	.	PUNCT
ejpam-3308	118	1	b(x	b(x	NOUN
ejpam-3308	118	2	,	,	PUNCT
ejpam-3308	118	3	y)=	y)=	NOUN
ejpam-3308	118	4	9	9	NUM
ejpam-3308	118	5	moves	move	NOUN
ejpam-3308	118	6	∀x	∀x	NUM
ejpam-3308	118	7	,	,	PUNCT
ejpam-3308	118	8	y	y	PROPN
ejpam-3308	118	9	∈	∈	PROPN
ejpam-3308	118	10	b.	b.	PROPN
ejpam-3308	119	1	if	if	SCONJ
ejpam-3308	119	2	s(b)=0	s(b)=0	NOUN
ejpam-3308	119	3	,	,	PUNCT
ejpam-3308	119	4	then	then	ADV
ejpam-3308	119	5	s(b	s(b	NOUN
ejpam-3308	119	6	)	)	PUNCT
ejpam-3308	120	1	=	=	SYM
ejpam-3308	120	2	φ	φ	PROPN
ejpam-3308	120	3	hence	hence	ADV
ejpam-3308	120	4	the	the	DET
ejpam-3308	120	5	board	board	NOUN
ejpam-3308	120	6	is	be	AUX
ejpam-3308	120	7	terminal	terminal	ADJ
ejpam-3308	120	8	.	.	PUNCT
ejpam-3308	121	1	3	3	X
ejpam-3308	121	2	.	.	X
ejpam-3308	121	3	fundamental	fundamental	ADJ
ejpam-3308	121	4	concept	concept	NOUN
ejpam-3308	121	5	the	the	DET
ejpam-3308	121	6	zaminamina	zaminamina	NOUN
ejpam-3308	121	7	draft	draft	NOUN
ejpam-3308	121	8	game	game	NOUN
ejpam-3308	121	9	is	be	AUX
ejpam-3308	121	10	a	a	DET
ejpam-3308	121	11	two	two	NUM
ejpam-3308	121	12	-	-	PUNCT
ejpam-3308	121	13	person	person	NOUN
ejpam-3308	121	14	,	,	PUNCT
ejpam-3308	121	15	zero	zero	NUM
ejpam-3308	121	16	-	-	PUNCT
ejpam-3308	121	17	sum	sum	NOUN
ejpam-3308	121	18	game	game	NOUN
ejpam-3308	121	19	which	which	PRON
ejpam-3308	121	20	involves	involve	VERB
ejpam-3308	121	21	either	either	CCONJ
ejpam-3308	121	22	two	two	NUM
ejpam-3308	121	23	people	people	NOUN
ejpam-3308	121	24	or	or	CCONJ
ejpam-3308	121	25	a	a	DET
ejpam-3308	121	26	player	player	NOUN
ejpam-3308	121	27	and	and	CCONJ
ejpam-3308	121	28	the	the	DET
ejpam-3308	121	29	computer	computer	NOUN
ejpam-3308	121	30	.	.	PUNCT
ejpam-3308	122	1	it	it	PRON
ejpam-3308	122	2	is	be	AUX
ejpam-3308	122	3	a	a	DET
ejpam-3308	122	4	nine	nine	NUM
ejpam-3308	122	5	(	(	PUNCT
ejpam-3308	122	6	9	9	NUM
ejpam-3308	122	7	)	)	PUNCT
ejpam-3308	122	8	square	square	ADJ
ejpam-3308	122	9	grid	grid	NOUN
ejpam-3308	122	10	of	of	ADP
ejpam-3308	122	11	which	which	PRON
ejpam-3308	122	12	each	each	DET
ejpam-3308	122	13	player	player	NOUN
ejpam-3308	122	14	has	have	VERB
ejpam-3308	122	15	only	only	ADV
ejpam-3308	122	16	four	four	NUM
ejpam-3308	122	17	plays	play	NOUN
ejpam-3308	122	18	to	to	PART
ejpam-3308	122	19	justify	justify	VERB
ejpam-3308	122	20	his	his	PRON
ejpam-3308	122	21	winning	win	VERB
ejpam-3308	122	22	strategy	strategy	NOUN
ejpam-3308	122	23	.	.	PUNCT
ejpam-3308	123	1	in	in	ADP
ejpam-3308	123	2	the	the	DET
ejpam-3308	123	3	absence	absence	NOUN
ejpam-3308	123	4	of	of	ADP
ejpam-3308	123	5	that	that	PRON
ejpam-3308	123	6	,	,	PUNCT
ejpam-3308	123	7	the	the	DET
ejpam-3308	123	8	opponent	opponent	NOUN
ejpam-3308	123	9	then	then	ADV
ejpam-3308	123	10	devises	devise	VERB
ejpam-3308	123	11	a	a	DET
ejpam-3308	123	12	strategy	strategy	NOUN
ejpam-3308	123	13	to	to	ADP
ejpam-3308	123	14	either	either	CCONJ
ejpam-3308	123	15	win	win	VERB
ejpam-3308	123	16	or	or	CCONJ
ejpam-3308	123	17	bring	bring	VERB
ejpam-3308	123	18	it	it	PRON
ejpam-3308	123	19	to	to	ADP
ejpam-3308	123	20	a	a	DET
ejpam-3308	123	21	tie	tie	NOUN
ejpam-3308	123	22	.	.	PUNCT
ejpam-3308	124	1	assumptions	assumption	VERB
ejpam-3308	124	2	the	the	DET
ejpam-3308	124	3	zaminimina	zaminimina	PROPN
ejpam-3308	124	4	board	board	PROPN
ejpam-3308	124	5	game	game	NOUN
ejpam-3308	124	6	is	be	AUX
ejpam-3308	124	7	fairly	fairly	ADV
ejpam-3308	124	8	played	play	VERB
ejpam-3308	124	9	with	with	ADP
ejpam-3308	124	10	the	the	DET
ejpam-3308	124	11	assumption	assumption	NOUN
ejpam-3308	124	12	that	that	SCONJ
ejpam-3308	124	13	;	;	PUNCT
ejpam-3308	124	14	a	a	DET
ejpam-3308	124	15	)	)	PUNCT
ejpam-3308	124	16	time	time	NOUN
ejpam-3308	124	17	limit	limit	NOUN
ejpam-3308	124	18	for	for	SCONJ
ejpam-3308	124	19	both	both	DET
ejpam-3308	124	20	players	player	NOUN
ejpam-3308	124	21	to	to	PART
ejpam-3308	124	22	make	make	VERB
ejpam-3308	124	23	a	a	DET
ejpam-3308	124	24	turn	turn	NOUN
ejpam-3308	124	25	is	be	AUX
ejpam-3308	124	26	established	establish	VERB
ejpam-3308	124	27	.	.	PUNCT
ejpam-3308	125	1	b	b	X
ejpam-3308	125	2	)	)	PUNCT
ejpam-3308	125	3	the	the	DET
ejpam-3308	125	4	initial	initial	ADJ
ejpam-3308	125	5	move	move	NOUN
ejpam-3308	125	6	of	of	ADP
ejpam-3308	125	7	a	a	DET
ejpam-3308	125	8	player	player	NOUN
ejpam-3308	125	9	can	can	AUX
ejpam-3308	125	10	not	not	PART
ejpam-3308	125	11	be	be	AUX
ejpam-3308	125	12	change	change	NOUN
ejpam-3308	125	13	and	and	CCONJ
ejpam-3308	125	14	is	be	AUX
ejpam-3308	125	15	considered	consider	VERB
ejpam-3308	125	16	as	as	ADP
ejpam-3308	125	17	a	a	DET
ejpam-3308	125	18	play	play	NOUN
ejpam-3308	125	19	.	.	PUNCT
ejpam-3308	126	1	c	c	X
ejpam-3308	126	2	)	)	PUNCT
ejpam-3308	126	3	the	the	DET
ejpam-3308	126	4	board	board	NOUN
ejpam-3308	126	5	is	be	AUX
ejpam-3308	126	6	having	have	VERB
ejpam-3308	126	7	distinct	distinct	ADJ
ejpam-3308	126	8	colours	colour	NOUN
ejpam-3308	126	9	to	to	PART
ejpam-3308	126	10	distinguish	distinguish	VERB
ejpam-3308	126	11	the	the	DET
ejpam-3308	126	12	play	play	NOUN
ejpam-3308	126	13	cards	card	NOUN
ejpam-3308	126	14	from	from	ADP
ejpam-3308	126	15	each	each	DET
ejpam-3308	126	16	other	other	ADJ
ejpam-3308	126	17	.	.	PUNCT
ejpam-3308	127	1	d	d	X
ejpam-3308	127	2	)	)	PUNCT
ejpam-3308	127	3	it	it	PRON
ejpam-3308	127	4	requires	require	VERB
ejpam-3308	127	5	one	one	NUM
ejpam-3308	127	6	player	player	NOUN
ejpam-3308	127	7	to	to	PART
ejpam-3308	127	8	start	start	VERB
ejpam-3308	127	9	.	.	PUNCT
ejpam-3308	128	1	3.1	3.1	NUM
ejpam-3308	128	2	.	.	PUNCT
ejpam-3308	129	1	the	the	DET
ejpam-3308	129	2	strategic	strategic	ADJ
ejpam-3308	129	3	form	form	NOUN
ejpam-3308	129	4	the	the	DET
ejpam-3308	129	5	zaminamina	zaminamina	NOUN
ejpam-3308	129	6	draft	draft	NOUN
ejpam-3308	129	7	uses	use	VERB
ejpam-3308	129	8	an	an	DET
ejpam-3308	129	9	alternative	alternative	ADJ
ejpam-3308	129	10	model	model	NOUN
ejpam-3308	129	11	known	know	VERB
ejpam-3308	129	12	as	as	ADP
ejpam-3308	129	13	the	the	DET
ejpam-3308	129	14	strategic	strategic	ADJ
ejpam-3308	129	15	form	form	NOUN
ejpam-3308	129	16	which	which	PRON
ejpam-3308	129	17	represents	represent	VERB
ejpam-3308	129	18	the	the	DET
ejpam-3308	129	19	game	game	NOUN
ejpam-3308	129	20	as	as	ADP
ejpam-3308	129	21	a	a	DET
ejpam-3308	129	22	matrix	matrix	NOUN
ejpam-3308	129	23	in	in	ADP
ejpam-3308	129	24	table	table	NOUN
ejpam-3308	129	25	form	form	NOUN
ejpam-3308	129	26	.	.	PUNCT
ejpam-3308	130	1	with	with	ADP
ejpam-3308	130	2	the	the	DET
ejpam-3308	130	3	strategic	strategic	ADJ
ejpam-3308	130	4	form	form	NOUN
ejpam-3308	130	5	,	,	PUNCT
ejpam-3308	130	6	we	we	PRON
ejpam-3308	130	7	assume	assume	VERB
ejpam-3308	130	8	that	that	SCONJ
ejpam-3308	130	9	both	both	DET
ejpam-3308	130	10	players	player	NOUN
ejpam-3308	130	11	select	select	VERB
ejpam-3308	130	12	strategies	strategy	NOUN
ejpam-3308	130	13	before	before	SCONJ
ejpam-3308	130	14	the	the	DET
ejpam-3308	130	15	game	game	NOUN
ejpam-3308	130	16	is	be	AUX
ejpam-3308	130	17	played	play	VERB
ejpam-3308	130	18	and	and	CCONJ
ejpam-3308	130	19	uses	use	VERB
ejpam-3308	130	20	those	those	DET
ejpam-3308	130	21	strategies	strategy	NOUN
ejpam-3308	130	22	in	in	ADP
ejpam-3308	130	23	turn	turn	NOUN
ejpam-3308	130	24	.	.	PUNCT
ejpam-3308	131	1	in	in	ADP
ejpam-3308	131	2	their	their	PRON
ejpam-3308	131	3	first	first	ADJ
ejpam-3308	131	4	play	play	NOUN
ejpam-3308	131	5	,	,	PUNCT
ejpam-3308	131	6	we	we	PRON
ejpam-3308	131	7	define	define	VERB
ejpam-3308	131	8	a	a	DET
ejpam-3308	131	9	strategy	strategy	NOUN
ejpam-3308	131	10	for	for	ADP
ejpam-3308	131	11	player	player	NOUN
ejpam-3308	131	12	i	i	PRON
ejpam-3308	131	13	and	and	CCONJ
ejpam-3308	131	14	a	a	DET
ejpam-3308	131	15	responding	respond	VERB
ejpam-3308	131	16	strategy	strategy	NOUN
ejpam-3308	131	17	for	for	ADP
ejpam-3308	131	18	player	player	NOUN
ejpam-3308	131	19	e.	e.	PROPN
ejpam-3308	131	20	k.	k.	PROPN
ejpam-3308	131	21	donkoh	donkoh	PROPN
ejpam-3308	131	22	et	et	PROPN
ejpam-3308	131	23	al	al	PROPN
ejpam-3308	131	24	.	.	PUNCT
ejpam-3308	131	25	/	/	SYM
ejpam-3308	131	26	eur	eur	PROPN
ejpam-3308	131	27	.	.	PUNCT
ejpam-3308	132	1	j.	j.	PROPN
ejpam-3308	132	2	pure	pure	PROPN
ejpam-3308	132	3	appl	appl	PROPN
ejpam-3308	132	4	.	.	PROPN
ejpam-3308	132	5	math	math	PROPN
ejpam-3308	132	6	,	,	PUNCT
ejpam-3308	132	7	12	12	NUM
ejpam-3308	132	8	(	(	PUNCT
ejpam-3308	132	9	1	1	NUM
ejpam-3308	132	10	)	)	PUNCT
ejpam-3308	132	11	(	(	PUNCT
ejpam-3308	132	12	2019	2019	NUM
ejpam-3308	132	13	)	)	PUNCT
ejpam-3308	132	14	,	,	PUNCT
ejpam-3308	132	15	159	159	NUM
ejpam-3308	132	16	-	-	SYM
ejpam-3308	132	17	175	175	NUM
ejpam-3308	132	18	165	165	NUM
ejpam-3308	132	19	ii	ii	NOUN
ejpam-3308	132	20	.	.	PUNCT
ejpam-3308	133	1	the	the	DET
ejpam-3308	133	2	payoffs	payoff	NOUN
ejpam-3308	133	3	matrix	matrix	NOUN
ejpam-3308	133	4	is	be	AUX
ejpam-3308	133	5	shown	show	VERB
ejpam-3308	133	6	in	in	ADP
ejpam-3308	133	7	table	table	NOUN
ejpam-3308	133	8	3.1	3.1	NUM
ejpam-3308	133	9	.	.	PUNCT
ejpam-3308	133	10	table	table	NOUN
ejpam-3308	133	11	3.1	3.1	NUM
ejpam-3308	133	12	:	:	PUNCT
ejpam-3308	133	13	a	a	DET
ejpam-3308	133	14	payoff	payoff	NOUN
ejpam-3308	133	15	matrix	matrix	NOUN
ejpam-3308	133	16	between	between	ADP
ejpam-3308	133	17	player	player	NOUN
ejpam-3308	133	18	i	i	PRON
ejpam-3308	133	19	and	and	CCONJ
ejpam-3308	133	20	player	player	PROPN
ejpam-3308	133	21	ii	ii	PROPN
ejpam-3308	133	22	player	player	NOUN
ejpam-3308	134	1	i	i	PRON
ejpam-3308	134	2	control	control	VERB
ejpam-3308	134	3	rows	row	VERB
ejpam-3308	134	4	a1	a1	PROPN
ejpam-3308	134	5	,	,	PUNCT
ejpam-3308	134	6	a2	a2	PROPN
ejpam-3308	134	7	,	,	PUNCT
ejpam-3308	134	8	a3	a3	NOUN
ejpam-3308	134	9	,	,	PUNCT
ejpam-3308	134	10	am	be	AUX
ejpam-3308	134	11	which	which	PRON
ejpam-3308	134	12	are	be	AUX
ejpam-3308	134	13	his	his	PRON
ejpam-3308	134	14	strategies	strategy	NOUN
ejpam-3308	134	15	and	and	CCONJ
ejpam-3308	134	16	player	player	NOUN
ejpam-3308	134	17	ii	ii	PROPN
ejpam-3308	134	18	controls	control	VERB
ejpam-3308	134	19	column	column	NOUN
ejpam-3308	134	20	b1	b1	NOUN
ejpam-3308	134	21	,	,	PUNCT
ejpam-3308	134	22	b2	b2	NOUN
ejpam-3308	134	23	,	,	PUNCT
ejpam-3308	134	24	b3	b3	PROPN
ejpam-3308	134	25	,	,	PUNCT
ejpam-3308	134	26	,	,	PUNCT
ejpam-3308	134	27	bn	bn	X
ejpam-3308	134	28	.	.	PUNCT
ejpam-3308	135	1	the	the	DET
ejpam-3308	135	2	game	game	NOUN
ejpam-3308	135	3	is	be	AUX
ejpam-3308	135	4	specified	specify	VERB
ejpam-3308	135	5	by	by	ADP
ejpam-3308	135	6	the	the	DET
ejpam-3308	135	7	sets	set	NOUN
ejpam-3308	135	8	of	of	ADP
ejpam-3308	135	9	strategies	strategy	NOUN
ejpam-3308	135	10	available	available	ADJ
ejpam-3308	135	11	to	to	ADP
ejpam-3308	135	12	both	both	DET
ejpam-3308	135	13	players	player	NOUN
ejpam-3308	135	14	and	and	CCONJ
ejpam-3308	135	15	the	the	DET
ejpam-3308	135	16	payoff	payoff	NOUN
ejpam-3308	135	17	matrix	matrix	NOUN
ejpam-3308	135	18	.	.	PUNCT
ejpam-3308	136	1	the	the	DET
ejpam-3308	136	2	payoff	payoff	NOUN
ejpam-3308	136	3	matrix	matrix	NOUN
ejpam-3308	136	4	tables	table	NOUN
ejpam-3308	136	5	in	in	ADP
ejpam-3308	136	6	table	table	NOUN
ejpam-3308	136	7	3.1(a	3.1(a	NUM
ejpam-3308	136	8	)	)	PUNCT
ejpam-3308	136	9	specifies	specify	VERB
ejpam-3308	136	10	the	the	DET
ejpam-3308	136	11	gain	gain	NOUN
ejpam-3308	136	12	or	or	CCONJ
ejpam-3308	136	13	profit	profit	NOUN
ejpam-3308	136	14	to	to	ADP
ejpam-3308	136	15	player	player	NOUN
ejpam-3308	136	16	i	i	PRON
ejpam-3308	136	17	for	for	ADP
ejpam-3308	136	18	every	every	DET
ejpam-3308	136	19	strategy	strategy	NOUN
ejpam-3308	136	20	pair	pair	NOUN
ejpam-3308	136	21	(	(	PUNCT
ejpam-3308	136	22	i	i	PRON
ejpam-3308	136	23	,	,	PUNCT
ejpam-3308	136	24	j).the	j).the	PROPN
ejpam-3308	136	25	two	two	NUM
ejpam-3308	136	26	players	player	NOUN
ejpam-3308	136	27	select	select	VERB
ejpam-3308	136	28	their	their	PRON
ejpam-3308	136	29	strategies	strategy	NOUN
ejpam-3308	136	30	simultaneously	simultaneously	ADV
ejpam-3308	136	31	,	,	PUNCT
ejpam-3308	136	32	and	and	CCONJ
ejpam-3308	136	33	when	when	SCONJ
ejpam-3308	136	34	player	player	NOUN
ejpam-3308	136	35	i	i	PRON
ejpam-3308	136	36	uses	use	VERB
ejpam-3308	136	37	strategy	strategy	NOUN
ejpam-3308	136	38	i	i	PRON
ejpam-3308	136	39	and	and	CCONJ
ejpam-3308	136	40	player	player	PROPN
ejpam-3308	136	41	ii	ii	PROPN
ejpam-3308	136	42	uses	use	VERB
ejpam-3308	136	43	strategy	strategy	PROPN
ejpam-3308	136	44	j	j	PROPN
ejpam-3308	136	45	,	,	PUNCT
ejpam-3308	136	46	player	player	NOUN
ejpam-3308	136	47	i	i	PRON
ejpam-3308	136	48	receives	receive	VERB
ejpam-3308	136	49	the	the	DET
ejpam-3308	136	50	payoff	payoff	NOUN
ejpam-3308	136	51	aij	aij	PROPN
ejpam-3308	136	52	from	from	ADP
ejpam-3308	136	53	player	player	PROPN
ejpam-3308	136	54	ii	ii	PROPN
ejpam-3308	136	55	.	.	PUNCT
ejpam-3308	137	1	a	a	DET
ejpam-3308	137	2	positive	positive	ADJ
ejpam-3308	137	3	number	number	NOUN
ejpam-3308	137	4	is	be	AUX
ejpam-3308	137	5	a	a	DET
ejpam-3308	137	6	gain	gain	NOUN
ejpam-3308	137	7	for	for	ADP
ejpam-3308	137	8	player	player	NOUN
ejpam-3308	137	9	i	i	PRON
ejpam-3308	137	10	and	and	CCONJ
ejpam-3308	137	11	a	a	DET
ejpam-3308	137	12	negative	negative	ADJ
ejpam-3308	137	13	number	number	NOUN
ejpam-3308	137	14	is	be	AUX
ejpam-3308	137	15	a	a	DET
ejpam-3308	137	16	loss	loss	NOUN
ejpam-3308	137	17	(	(	PUNCT
ejpam-3308	137	18	a	a	DET
ejpam-3308	137	19	gain	gain	NOUN
ejpam-3308	137	20	for	for	ADP
ejpam-3308	137	21	player	player	NOUN
ejpam-3308	137	22	ii	ii	PROPN
ejpam-3308	137	23	)	)	PUNCT
ejpam-3308	137	24	.	.	PUNCT
ejpam-3308	138	1	a	a	DET
ejpam-3308	138	2	gain	gain	NOUN
ejpam-3308	138	3	to	to	ADP
ejpam-3308	138	4	one	one	NUM
ejpam-3308	138	5	player	player	NOUN
ejpam-3308	138	6	is	be	AUX
ejpam-3308	138	7	a	a	DET
ejpam-3308	138	8	loss	loss	NOUN
ejpam-3308	138	9	to	to	ADP
ejpam-3308	138	10	the	the	DET
ejpam-3308	138	11	other	other	ADJ
ejpam-3308	138	12	,	,	PUNCT
ejpam-3308	138	13	thus	thus	ADV
ejpam-3308	138	14	providing	provide	VERB
ejpam-3308	138	15	the	the	DET
ejpam-3308	138	16	zero	zero	NUM
ejpam-3308	138	17	-	-	PUNCT
ejpam-3308	138	18	sum	sum	NOUN
ejpam-3308	138	19	feature	feature	NOUN
ejpam-3308	138	20	.	.	PUNCT
ejpam-3308	139	1	3.2	3.2	NUM
ejpam-3308	139	2	.	.	PUNCT
ejpam-3308	140	1	linear	linear	PROPN
ejpam-3308	140	2	programming	programming	NOUN
ejpam-3308	140	3	model	model	NOUN
ejpam-3308	140	4	the	the	DET
ejpam-3308	140	5	players	player	NOUN
ejpam-3308	140	6	use	use	VERB
ejpam-3308	140	7	a	a	DET
ejpam-3308	140	8	mixed	mixed	ADJ
ejpam-3308	140	9	strategy	strategy	NOUN
ejpam-3308	140	10	in	in	ADP
ejpam-3308	140	11	the	the	DET
ejpam-3308	140	12	form	form	NOUN
ejpam-3308	140	13	of	of	ADP
ejpam-3308	140	14	a	a	DET
ejpam-3308	140	15	discrete	discrete	ADJ
ejpam-3308	140	16	probability	probability	NOUN
ejpam-3308	140	17	distribution	distribution	NOUN
ejpam-3308	140	18	.	.	PUNCT
ejpam-3308	141	1	suppose	suppose	VERB
ejpam-3308	141	2	player	player	NOUN
ejpam-3308	141	3	is	be	AUX
ejpam-3308	141	4	probabilities	probability	NOUN
ejpam-3308	141	5	are	be	AUX
ejpam-3308	141	6	(	(	PUNCT
ejpam-3308	141	7	x1	x1	PROPN
ejpam-3308	141	8	,	,	PUNCT
ejpam-3308	141	9	x2	x2	PROPN
ejpam-3308	141	10	,	,	PUNCT
ejpam-3308	141	11	x3	x3	ADJ
ejpam-3308	141	12	,	,	PUNCT
ejpam-3308	141	13	xm	xm	PROPN
ejpam-3308	141	14	)	)	PUNCT
ejpam-3308	141	15	and	and	CCONJ
ejpam-3308	141	16	player	player	NOUN
ejpam-3308	141	17	iis	iis	PROPN
ejpam-3308	141	18	probabilities	probability	NOUN
ejpam-3308	141	19	are	be	AUX
ejpam-3308	141	20	(	(	PUNCT
ejpam-3308	141	21	y1	y1	INTJ
ejpam-3308	141	22	,	,	PUNCT
ejpam-3308	141	23	y2	y2	PROPN
ejpam-3308	141	24	,	,	PUNCT
ejpam-3308	141	25	y3	y3	PROPN
ejpam-3308	141	26	,	,	PUNCT
ejpam-3308	141	27	ym	ym	PROPN
ejpam-3308	141	28	)	)	PUNCT
ejpam-3308	141	29	where	where	SCONJ
ejpam-3308	141	30	xi	xi	PROPN
ejpam-3308	141	31	and	and	CCONJ
ejpam-3308	141	32	yj	yj	PROPN
ejpam-3308	141	33	are	be	AUX
ejpam-3308	141	34	the	the	DET
ejpam-3308	141	35	probabilities	probability	NOUN
ejpam-3308	141	36	that	that	SCONJ
ejpam-3308	141	37	strategies	strategy	NOUN
ejpam-3308	141	38	i	i	PRON
ejpam-3308	141	39	and	and	CCONJ
ejpam-3308	141	40	j	j	PROPN
ejpam-3308	141	41	are	be	AUX
ejpam-3308	141	42	chosen	choose	VERB
ejpam-3308	141	43	.	.	PUNCT
ejpam-3308	142	1	the	the	DET
ejpam-3308	142	2	probabilities	probability	NOUN
ejpam-3308	142	3	of	of	ADP
ejpam-3308	142	4	both	both	DET
ejpam-3308	142	5	set	set	NOUN
ejpam-3308	142	6	of	of	ADP
ejpam-3308	142	7	plays	play	NOUN
ejpam-3308	142	8	must	must	AUX
ejpam-3308	142	9	sum	sum	VERB
ejpam-3308	142	10	up	up	ADP
ejpam-3308	142	11	to	to	PART
ejpam-3308	142	12	1	1	NUM
ejpam-3308	142	13	.	.	PUNCT
ejpam-3308	143	1	thus	thus	ADV
ejpam-3308	143	2	,	,	PUNCT
ejpam-3308	143	3	expected	expect	VERB
ejpam-3308	143	4	outcome	outcome	NOUN
ejpam-3308	143	5	=	=	PUNCT
ejpam-3308	143	6	∑	∑	PROPN
ejpam-3308	143	7	0≤i≤m	0≤i≤m	NUM
ejpam-3308	143	8	∑	∑	PROPN
ejpam-3308	143	9	0	0	NUM
ejpam-3308	143	10	<	<	X
ejpam-3308	143	11	j	j	X
ejpam-3308	143	12	<	<	X
ejpam-3308	143	13	n	n	X
ejpam-3308	143	14	p	p	X
ejpam-3308	143	15	(	(	PUNCT
ejpam-3308	143	16	i	i	NOUN
ejpam-3308	143	17	,	,	PUNCT
ejpam-3308	143	18	j)xiyj	j)xiyj	PROPN
ejpam-3308	143	19	where	where	SCONJ
ejpam-3308	143	20	m∑	m∑	VERB
ejpam-3308	143	21	i=1	i=1	PROPN
ejpam-3308	143	22	xi	xi	X
ejpam-3308	144	1	=	=	SYM
ejpam-3308	144	2	1	1	NUM
ejpam-3308	145	1	and	and	CCONJ
ejpam-3308	145	2	m∑	m∑	ADV
ejpam-3308	145	3	j=1	j=1	PROPN
ejpam-3308	145	4	yj	yj	PROPN
ejpam-3308	145	5	=	=	SYM
ejpam-3308	145	6	1	1	NUM
ejpam-3308	145	7	player	player	NOUN
ejpam-3308	145	8	i	i	PRON
ejpam-3308	145	9	always	always	ADV
ejpam-3308	145	10	know	know	VERB
ejpam-3308	145	11	that	that	SCONJ
ejpam-3308	145	12	the	the	DET
ejpam-3308	145	13	expected	expect	VERB
ejpam-3308	145	14	payoff	payoff	NOUN
ejpam-3308	145	15	when	when	SCONJ
ejpam-3308	145	16	player	player	NOUN
ejpam-3308	145	17	ii	ii	PROPN
ejpam-3308	145	18	plays	play	VERB
ejpam-3308	145	19	a	a	DET
ejpam-3308	145	20	pure	pure	ADJ
ejpam-3308	145	21	strategy	strategy	NOUN
ejpam-3308	145	22	j	j	PROPN
ejpam-3308	145	23	is	be	AUX
ejpam-3308	145	24	m∑	m∑	INTJ
ejpam-3308	145	25	i=1	i=1	PROPN
ejpam-3308	145	26	(	(	PUNCT
ejpam-3308	145	27	pij)xi	pij)xi	NOUN
ejpam-3308	145	28	,	,	PUNCT
ejpam-3308	145	29	∀j	∀j	NOUN
ejpam-3308	145	30	=	=	SYM
ejpam-3308	145	31	1	1	NUM
ejpam-3308	145	32	,	,	PUNCT
ejpam-3308	145	33	...	...	PUNCT
ejpam-3308	145	34	,	,	PUNCT
ejpam-3308	145	35	n	n	CCONJ
ejpam-3308	145	36	it	it	PRON
ejpam-3308	145	37	is	be	AUX
ejpam-3308	145	38	assumed	assume	VERB
ejpam-3308	145	39	that	that	SCONJ
ejpam-3308	145	40	player	player	NOUN
ejpam-3308	145	41	ii	ii	PROPN
ejpam-3308	145	42	selects	select	VERB
ejpam-3308	145	43	a	a	DET
ejpam-3308	145	44	strategy	strategy	NOUN
ejpam-3308	145	45	that	that	PRON
ejpam-3308	145	46	will	will	AUX
ejpam-3308	145	47	assure	assure	VERB
ejpam-3308	145	48	that	that	SCONJ
ejpam-3308	145	49	the	the	DET
ejpam-3308	145	50	value	value	NOUN
ejpam-3308	145	51	of	of	ADP
ejpam-3308	145	52	the	the	DET
ejpam-3308	145	53	game	game	NOUN
ejpam-3308	145	54	for	for	ADP
ejpam-3308	145	55	player	player	NOUN
ejpam-3308	145	56	i	i	PRON
ejpam-3308	145	57	,	,	PUNCT
ejpam-3308	145	58	vi	vi	PROPN
ejpam-3308	145	59	,	,	PUNCT
ejpam-3308	145	60	is	be	AUX
ejpam-3308	145	61	less	less	ADJ
ejpam-3308	145	62	than	than	ADP
ejpam-3308	145	63	or	or	CCONJ
ejpam-3308	145	64	equal	equal	ADJ
ejpam-3308	145	65	to	to	ADP
ejpam-3308	145	66	the	the	DET
ejpam-3308	145	67	expected	expect	VERB
ejpam-3308	145	68	value	value	NOUN
ejpam-3308	145	69	for	for	ADP
ejpam-3308	145	70	any	any	DET
ejpam-3308	145	71	pure	pure	ADJ
ejpam-3308	145	72	strategy	strategy	NOUN
ejpam-3308	145	73	j.	j.	PROPN
ejpam-3308	145	74	then	then	ADV
ejpam-3308	145	75	e.	e.	PROPN
ejpam-3308	145	76	k.	k.	PROPN
ejpam-3308	145	77	donkoh	donkoh	PROPN
ejpam-3308	145	78	et	et	PROPN
ejpam-3308	145	79	al	al	PROPN
ejpam-3308	145	80	.	.	PUNCT
ejpam-3308	145	81	/	/	SYM
ejpam-3308	145	82	eur	eur	PROPN
ejpam-3308	145	83	.	.	PUNCT
ejpam-3308	146	1	j.	j.	PROPN
ejpam-3308	146	2	pure	pure	PROPN
ejpam-3308	146	3	appl	appl	PROPN
ejpam-3308	146	4	.	.	PROPN
ejpam-3308	146	5	math	math	PROPN
ejpam-3308	146	6	,	,	PUNCT
ejpam-3308	146	7	12	12	NUM
ejpam-3308	146	8	(	(	PUNCT
ejpam-3308	146	9	1	1	NUM
ejpam-3308	146	10	)	)	PUNCT
ejpam-3308	146	11	(	(	PUNCT
ejpam-3308	146	12	2019	2019	NUM
ejpam-3308	146	13	)	)	PUNCT
ejpam-3308	146	14	,	,	PUNCT
ejpam-3308	146	15	159	159	NUM
ejpam-3308	146	16	-	-	SYM
ejpam-3308	146	17	175	175	NUM
ejpam-3308	146	18	166	166	NUM
ejpam-3308	146	19	we	we	PRON
ejpam-3308	146	20	can	can	AUX
ejpam-3308	146	21	write	write	VERB
ejpam-3308	146	22	for	for	ADP
ejpam-3308	146	23	each	each	DET
ejpam-3308	146	24	j	j	NOUN
ejpam-3308	146	25	the	the	DET
ejpam-3308	146	26	constraint	constraint	NOUN
ejpam-3308	146	27	m∑	m∑	VERB
ejpam-3308	146	28	i=1	i=1	PROPN
ejpam-3308	146	29	(	(	PUNCT
ejpam-3308	146	30	pij)xi	pij)xi	NOUN
ejpam-3308	146	31	≥	≥	PROPN
ejpam-3308	146	32	vi	vi	PROPN
ejpam-3308	146	33	,	,	PUNCT
ejpam-3308	146	34	j	j	NOUN
ejpam-3308	146	35	=	=	SYM
ejpam-3308	146	36	1	1	NUM
ejpam-3308	146	37	,	,	PUNCT
ejpam-3308	146	38	...	...	PUNCT
ejpam-3308	146	39	,	,	PUNCT
ejpam-3308	146	40	n	n	CCONJ
ejpam-3308	146	41	the	the	DET
ejpam-3308	146	42	linear	linear	ADJ
ejpam-3308	146	43	programming	programming	NOUN
ejpam-3308	146	44	solution	solution	NOUN
ejpam-3308	146	45	for	for	ADP
ejpam-3308	146	46	player	player	NOUN
ejpam-3308	146	47	1s	1s	NUM
ejpam-3308	146	48	strategy	strategy	NOUN
ejpam-3308	146	49	is	be	AUX
ejpam-3308	146	50	maximize	maximize	VERB
ejpam-3308	146	51	vi	vi	PROPN
ejpam-3308	146	52	in	in	ADP
ejpam-3308	146	53	max	max	PROPN
ejpam-3308	146	54	m∑	m∑	X
ejpam-3308	146	55	i=1	i=1	PROPN
ejpam-3308	147	1	(	(	PUNCT
ejpam-3308	147	2	pij)xi	pij)xi	NOUN
ejpam-3308	147	3	≥	≥	PROPN
ejpam-3308	147	4	vi	vi	PROPN
ejpam-3308	147	5	,	,	PUNCT
ejpam-3308	147	6	s.t	s.t	PROPN
ejpam-3308	147	7	.	.	PROPN
ejpam-3308	147	8	m∑	m∑	PROPN
ejpam-3308	148	1	i=1	i=1	PROPN
ejpam-3308	148	2	xi	xi	X
ejpam-3308	149	1	=	=	PUNCT
ejpam-3308	149	2	1	1	NUM
ejpam-3308	149	3	xi	xi	NUM
ejpam-3308	149	4	≥	≥	NOUN
ejpam-3308	149	5	0	0	PUNCT
ejpam-3308	150	1	i	i	NOUN
ejpam-3308	150	2	=	=	NOUN
ejpam-3308	150	3	1	1	NUM
ejpam-3308	150	4	,	,	PUNCT
ejpam-3308	150	5	.	.	PUNCT
ejpam-3308	150	6	.	.	PUNCT
ejpam-3308	150	7	.	.	PUNCT
ejpam-3308	151	1	,	,	PUNCT
ejpam-3308	151	2	m	m	VERB
ejpam-3308	151	3	the	the	DET
ejpam-3308	151	4	dual	dual	ADJ
ejpam-3308	151	5	of	of	ADP
ejpam-3308	151	6	the	the	DET
ejpam-3308	151	7	lp	lp	NOUN
ejpam-3308	151	8	above	above	ADV
ejpam-3308	151	9	is	be	AUX
ejpam-3308	151	10	the	the	DET
ejpam-3308	151	11	strategies	strategy	NOUN
ejpam-3308	151	12	used	use	VERB
ejpam-3308	151	13	by	by	ADP
ejpam-3308	151	14	player	player	PROPN
ejpam-3308	151	15	ii	ii	PROPN
ejpam-3308	151	16	to	to	PART
ejpam-3308	151	17	minimize	minimize	VERB
ejpam-3308	151	18	loss	loss	NOUN
ejpam-3308	151	19	given	give	VERB
ejpam-3308	151	20	by	by	ADP
ejpam-3308	151	21	the	the	DET
ejpam-3308	151	22	lp	lp	ADJ
ejpam-3308	151	23	mode	mode	NOUN
ejpam-3308	151	24	minimize	minimize	VERB
ejpam-3308	151	25	vii	vii	PROPN
ejpam-3308	151	26	min	min	PROPN
ejpam-3308	151	27	m∑	m∑	PROPN
ejpam-3308	151	28	j=1	j=1	NOUN
ejpam-3308	151	29	(	(	PUNCT
ejpam-3308	151	30	pij)yj	pij)yj	NOUN
ejpam-3308	151	31	≤	≤	PROPN
ejpam-3308	151	32	vii	vii	PROPN
ejpam-3308	151	33	,	,	PUNCT
ejpam-3308	151	34	s.t	s.t	PROPN
ejpam-3308	151	35	.	.	PROPN
ejpam-3308	151	36	m∑	m∑	PROPN
ejpam-3308	152	1	j=1	j=1	PROPN
ejpam-3308	152	2	yj	yj	PROPN
ejpam-3308	152	3	=	=	SYM
ejpam-3308	152	4	1	1	NUM
ejpam-3308	152	5	yj	yj	PROPN
ejpam-3308	152	6	≥	≥	NOUN
ejpam-3308	152	7	0	0	NUM
ejpam-3308	153	1	j	j	PROPN
ejpam-3308	153	2	=	=	SYM
ejpam-3308	153	3	1	1	NUM
ejpam-3308	153	4	,	,	PUNCT
ejpam-3308	153	5	.	.	PUNCT
ejpam-3308	153	6	.	.	PUNCT
ejpam-3308	153	7	.	.	PUNCT
ejpam-3308	154	1	,	,	PUNCT
ejpam-3308	154	2	m	m	AUX
ejpam-3308	154	3	solving	solve	VERB
ejpam-3308	154	4	either	either	CCONJ
ejpam-3308	154	5	one	one	NUM
ejpam-3308	154	6	of	of	ADP
ejpam-3308	154	7	these	these	DET
ejpam-3308	154	8	linear	linear	ADJ
ejpam-3308	154	9	programs	program	NOUN
ejpam-3308	154	10	yields	yield	VERB
ejpam-3308	154	11	the	the	DET
ejpam-3308	154	12	optimal	optimal	ADJ
ejpam-3308	154	13	solution	solution	NOUN
ejpam-3308	154	14	for	for	ADP
ejpam-3308	154	15	one	one	NUM
ejpam-3308	154	16	player	player	NOUN
ejpam-3308	154	17	3.3	3.3	NUM
ejpam-3308	154	18	.	.	PUNCT
ejpam-3308	155	1	matrix	matrix	NOUN
ejpam-3308	155	2	representation	representation	NOUN
ejpam-3308	155	3	of	of	ADP
ejpam-3308	155	4	the	the	DET
ejpam-3308	155	5	game	game	NOUN
ejpam-3308	155	6	board	board	NOUN
ejpam-3308	155	7	the	the	DET
ejpam-3308	155	8	zaminamina	zaminamina	PROPN
ejpam-3308	155	9	game	game	PROPN
ejpam-3308	155	10	board	board	PROPN
ejpam-3308	155	11	has	have	VERB
ejpam-3308	155	12	9	9	NUM
ejpam-3308	155	13	!	!	PUNCT
ejpam-3308	156	1	=	=	NOUN
ejpam-3308	156	2	362,880	362,880	NUM
ejpam-3308	156	3	ways	way	NOUN
ejpam-3308	156	4	of	of	ADP
ejpam-3308	156	5	filling	fill	VERB
ejpam-3308	156	6	up	up	ADP
ejpam-3308	156	7	each	each	DET
ejpam-3308	156	8	square	square	NOUN
ejpam-3308	156	9	with	with	ADP
ejpam-3308	156	10	any	any	PRON
ejpam-3308	156	11	of	of	ADP
ejpam-3308	156	12	the	the	DET
ejpam-3308	156	13	numbers	number	NOUN
ejpam-3308	156	14	from	from	ADP
ejpam-3308	156	15	1	1	NUM
ejpam-3308	156	16	to	to	ADP
ejpam-3308	156	17	9	9	NUM
ejpam-3308	156	18	.	.	PUNCT
ejpam-3308	156	19	table	table	NOUN
ejpam-3308	156	20	3.2	3.2	NUM
ejpam-3308	156	21	show	show	VERB
ejpam-3308	156	22	some	some	PRON
ejpam-3308	156	23	of	of	ADP
ejpam-3308	156	24	the	the	DET
ejpam-3308	156	25	possible	possible	ADJ
ejpam-3308	156	26	outcomes	outcome	NOUN
ejpam-3308	156	27	of	of	ADP
ejpam-3308	156	28	the	the	DET
ejpam-3308	156	29	game	game	NOUN
ejpam-3308	156	30	board	board	PROPN
ejpam-3308	156	31	.	.	PUNCT
ejpam-3308	157	1	table	table	NOUN
ejpam-3308	157	2	3.2	3.2	NUM
ejpam-3308	157	3	:	:	PUNCT
ejpam-3308	157	4	some	some	DET
ejpam-3308	157	5	possible	possible	ADJ
ejpam-3308	157	6	matrix	matrix	NOUN
ejpam-3308	157	7	table	table	NOUN
ejpam-3308	157	8	of	of	ADP
ejpam-3308	157	9	the	the	DET
ejpam-3308	157	10	game	game	NOUN
ejpam-3308	157	11	board	board	NOUN
ejpam-3308	157	12	the	the	DET
ejpam-3308	157	13	game	game	NOUN
ejpam-3308	157	14	board	board	NOUN
ejpam-3308	157	15	in	in	ADP
ejpam-3308	157	16	table	table	NOUN
ejpam-3308	157	17	3.2	3.2	NUM
ejpam-3308	157	18	is	be	AUX
ejpam-3308	157	19	transformed	transform	VERB
ejpam-3308	157	20	to	to	PART
ejpam-3308	157	21	row	row	VERB
ejpam-3308	157	22	reduced	reduce	VERB
ejpam-3308	157	23	echelon	echelon	NOUN
ejpam-3308	157	24	form	form	NOUN
ejpam-3308	157	25	(	(	PUNCT
ejpam-3308	157	26	rref	rref	NOUN
ejpam-3308	157	27	)	)	PUNCT
ejpam-3308	157	28	in	in	ADP
ejpam-3308	157	29	matlab	matlab	PROPN
ejpam-3308	157	30	giving	give	VERB
ejpam-3308	157	31	out	out	ADP
ejpam-3308	157	32	the	the	DET
ejpam-3308	157	33	diagonal	diagonal	ADJ
ejpam-3308	157	34	possible	possible	ADJ
ejpam-3308	157	35	wins	win	NOUN
ejpam-3308	157	36	as	as	SCONJ
ejpam-3308	157	37	shown	show	VERB
ejpam-3308	157	38	in	in	ADP
ejpam-3308	157	39	table	table	NOUN
ejpam-3308	157	40	3.3	3.3	NUM
ejpam-3308	157	41	.	.	PUNCT
ejpam-3308	158	1	the	the	DET
ejpam-3308	158	2	possible	possible	ADJ
ejpam-3308	158	3	wins	win	NOUN
ejpam-3308	158	4	were	be	AUX
ejpam-3308	158	5	then	then	ADV
ejpam-3308	158	6	used	use	VERB
ejpam-3308	158	7	to	to	PART
ejpam-3308	158	8	design	design	VERB
ejpam-3308	158	9	the	the	DET
ejpam-3308	158	10	game	game	NOUN
ejpam-3308	158	11	in	in	ADP
ejpam-3308	158	12	python	python	NOUN
ejpam-3308	158	13	language	language	NOUN
ejpam-3308	158	14	.	.	PUNCT
ejpam-3308	159	1	the	the	DET
ejpam-3308	159	2	possible	possible	ADJ
ejpam-3308	159	3	allocations	allocation	NOUN
ejpam-3308	159	4	of	of	ADP
ejpam-3308	159	5	the	the	DET
ejpam-3308	159	6	plays	play	NOUN
ejpam-3308	159	7	were	be	AUX
ejpam-3308	159	8	distorted	distort	VERB
ejpam-3308	159	9	in	in	ADP
ejpam-3308	159	10	this	this	DET
ejpam-3308	159	11	way	way	NOUN
ejpam-3308	159	12	together	together	ADV
ejpam-3308	159	13	with	with	ADP
ejpam-3308	159	14	the	the	DET
ejpam-3308	159	15	corresponding	corresponding	ADJ
ejpam-3308	159	16	results	result	NOUN
ejpam-3308	159	17	.	.	PUNCT
ejpam-3308	160	1	�	�	NOUN
ejpam-3308	160	2	=[	=[	NOUN
ejpam-3308	160	3	7	7	NUM
ejpam-3308	160	4	,	,	PUNCT
ejpam-3308	160	5	8	8	NUM
ejpam-3308	160	6	,	,	PUNCT
ejpam-3308	160	7	9	9	NUM
ejpam-3308	160	8	;	;	PUNCT
ejpam-3308	160	9	6	6	NUM
ejpam-3308	160	10	,	,	PUNCT
ejpam-3308	160	11	1	1	NUM
ejpam-3308	160	12	,	,	PUNCT
ejpam-3308	160	13	2	2	NUM
ejpam-3308	160	14	;	;	PUNCT
ejpam-3308	160	15	5	5	NUM
ejpam-3308	160	16	,	,	PUNCT
ejpam-3308	160	17	4	4	NUM
ejpam-3308	160	18	,	,	PUNCT
ejpam-3308	160	19	3	3	NUM
ejpam-3308	160	20	]	]	PUNCT
ejpam-3308	160	21	;	;	PUNCT
ejpam-3308	160	22	�	�	PROPN
ejpam-3308	160	23	rref(a	rref(a	NOUN
ejpam-3308	160	24	)	)	PUNCT
ejpam-3308	160	25	=	=	PUNCT
ejpam-3308	161	1	1	1	PROPN
ejpam-3308	161	2	0	0	NUM
ejpam-3308	161	3	0	0	NUM
ejpam-3308	161	4	0	0	NUM
ejpam-3308	161	5	1	1	NUM
ejpam-3308	161	6	0	0	NUM
ejpam-3308	161	7	0	0	NUM
ejpam-3308	161	8	0	0	NUM
ejpam-3308	161	9	1	1	NUM
ejpam-3308	161	10			PROPN
ejpam-3308	161	11	table	table	NOUN
ejpam-3308	161	12	3.3	3.3	NUM
ejpam-3308	161	13	:	:	PUNCT
ejpam-3308	161	14	row	row	NOUN
ejpam-3308	161	15	reduced	reduce	VERB
ejpam-3308	161	16	echelon	echelon	NOUN
ejpam-3308	161	17	form	form	NOUN
ejpam-3308	161	18	of	of	ADP
ejpam-3308	161	19	matrix	matrix	NOUN
ejpam-3308	161	20	table	table	NOUN
ejpam-3308	161	21	3.2(a),(b	3.2(a),(b	NOUN
ejpam-3308	161	22	)	)	PUNCT
ejpam-3308	161	23	or	or	CCONJ
ejpam-3308	161	24	(	(	PUNCT
ejpam-3308	161	25	c	c	X
ejpam-3308	161	26	)	)	PUNCT
ejpam-3308	161	27	e.	e.	PROPN
ejpam-3308	161	28	k.	k.	PROPN
ejpam-3308	161	29	donkoh	donkoh	PROPN
ejpam-3308	161	30	et	et	PROPN
ejpam-3308	161	31	al	al	PROPN
ejpam-3308	161	32	.	.	PUNCT
ejpam-3308	161	33	/	/	SYM
ejpam-3308	161	34	eur	eur	PROPN
ejpam-3308	161	35	.	.	PUNCT
ejpam-3308	162	1	j.	j.	PROPN
ejpam-3308	162	2	pure	pure	PROPN
ejpam-3308	162	3	appl	appl	PROPN
ejpam-3308	162	4	.	.	PROPN
ejpam-3308	162	5	math	math	PROPN
ejpam-3308	162	6	,	,	PUNCT
ejpam-3308	162	7	12	12	NUM
ejpam-3308	162	8	(	(	PUNCT
ejpam-3308	162	9	1	1	NUM
ejpam-3308	162	10	)	)	PUNCT
ejpam-3308	162	11	(	(	PUNCT
ejpam-3308	162	12	2019	2019	NUM
ejpam-3308	162	13	)	)	PUNCT
ejpam-3308	162	14	,	,	PUNCT
ejpam-3308	162	15	159	159	NUM
ejpam-3308	162	16	-	-	SYM
ejpam-3308	162	17	175	175	NUM
ejpam-3308	162	18	167	167	NUM
ejpam-3308	162	19	1	1	NUM
ejpam-3308	162	20	0	0	NUM
ejpam-3308	162	21	0	0	NUM
ejpam-3308	162	22	0	0	NUM
ejpam-3308	162	23	1	1	NUM
ejpam-3308	162	24	0	0	NUM
ejpam-3308	162	25	0	0	NUM
ejpam-3308	162	26	0	0	NUM
ejpam-3308	162	27	1	1	NUM
ejpam-3308	162	28	apart	apart	ADV
ejpam-3308	162	29	from	from	ADP
ejpam-3308	162	30	the	the	DET
ejpam-3308	162	31	distorted	distort	VERB
ejpam-3308	162	32	matrix	matrix	NOUN
ejpam-3308	162	33	,	,	PUNCT
ejpam-3308	162	34	if	if	SCONJ
ejpam-3308	162	35	players	player	NOUN
ejpam-3308	162	36	are	be	AUX
ejpam-3308	162	37	to	to	PART
ejpam-3308	162	38	play	play	VERB
ejpam-3308	162	39	the	the	DET
ejpam-3308	162	40	game	game	NOUN
ejpam-3308	162	41	in	in	ADP
ejpam-3308	162	42	a	a	DET
ejpam-3308	162	43	hierarchical	hierarchical	ADJ
ejpam-3308	162	44	arrangement	arrangement	NOUN
ejpam-3308	162	45	with	with	ADP
ejpam-3308	162	46	player	player	NOUN
ejpam-3308	162	47	i	i	PRON
ejpam-3308	162	48	playing	play	VERB
ejpam-3308	162	49	all	all	DET
ejpam-3308	162	50	odd	odd	ADJ
ejpam-3308	162	51	numbers	number	NOUN
ejpam-3308	162	52	and	and	CCONJ
ejpam-3308	162	53	player	player	NOUN
ejpam-3308	162	54	ii	ii	PROPN
ejpam-3308	162	55	playing	play	VERB
ejpam-3308	162	56	all	all	PRON
ejpam-3308	162	57	even	even	ADV
ejpam-3308	162	58	numbers	number	NOUN
ejpam-3308	162	59	,	,	PUNCT
ejpam-3308	162	60	the	the	DET
ejpam-3308	162	61	result	result	NOUN
ejpam-3308	162	62	will	will	AUX
ejpam-3308	162	63	not	not	PART
ejpam-3308	162	64	give	give	VERB
ejpam-3308	162	65	a	a	DET
ejpam-3308	162	66	win	win	NOUN
ejpam-3308	162	67	.	.	PUNCT
ejpam-3308	163	1	this	this	PRON
ejpam-3308	163	2	is	be	AUX
ejpam-3308	163	3	stems	stem	NOUN
ejpam-3308	163	4	from	from	ADP
ejpam-3308	163	5	the	the	DET
ejpam-3308	163	6	fact	fact	NOUN
ejpam-3308	163	7	that	that	SCONJ
ejpam-3308	163	8	the	the	DET
ejpam-3308	163	9	rref	rref	NOUN
ejpam-3308	163	10	does	do	AUX
ejpam-3308	163	11	not	not	PART
ejpam-3308	163	12	produce	produce	VERB
ejpam-3308	163	13	a	a	DET
ejpam-3308	163	14	leading	lead	VERB
ejpam-3308	163	15	diagonal	diagonal	NOUN
ejpam-3308	163	16	of	of	ADP
ejpam-3308	163	17	1	1	NUM
ejpam-3308	163	18	with	with	ADP
ejpam-3308	163	19	all	all	DET
ejpam-3308	163	20	other	other	ADJ
ejpam-3308	163	21	entries	entry	NOUN
ejpam-3308	163	22	being	be	AUX
ejpam-3308	163	23	zero	zero	NUM
ejpam-3308	163	24	.	.	PUNCT
ejpam-3308	164	1	table	table	NOUN
ejpam-3308	164	2	3.4	3.4	NUM
ejpam-3308	164	3	shows	show	VERB
ejpam-3308	164	4	the	the	DET
ejpam-3308	164	5	hierarchical	hierarchical	ADJ
ejpam-3308	164	6	arrangement	arrangement	NOUN
ejpam-3308	164	7	in	in	ADP
ejpam-3308	164	8	matrix	matrix	NOUN
ejpam-3308	164	9	form	form	NOUN
ejpam-3308	164	10	and	and	CCONJ
ejpam-3308	164	11	its	its	PRON
ejpam-3308	164	12	corresponding	corresponding	ADJ
ejpam-3308	164	13	game	game	NOUN
ejpam-3308	164	14	loss	loss	NOUN
ejpam-3308	164	15	is	be	AUX
ejpam-3308	164	16	proven	prove	VERB
ejpam-3308	164	17	by	by	ADP
ejpam-3308	164	18	yielding	yield	VERB
ejpam-3308	164	19	a	a	DET
ejpam-3308	164	20	result	result	NOUN
ejpam-3308	164	21	in	in	ADP
ejpam-3308	164	22	row	row	NOUN
ejpam-3308	164	23	echelon	echelon	NOUN
ejpam-3308	164	24	form(ref	form(ref	NOUN
ejpam-3308	164	25	)	)	PUNCT
ejpam-3308	164	26	.	.	PUNCT
ejpam-3308	165	1	e.	e.	PROPN
ejpam-3308	165	2	k.	k.	PROPN
ejpam-3308	165	3	donkoh	donkoh	PROPN
ejpam-3308	165	4	et	et	PROPN
ejpam-3308	165	5	al	al	PROPN
ejpam-3308	165	6	.	.	PUNCT
ejpam-3308	165	7	/	/	SYM
ejpam-3308	165	8	eur	eur	PROPN
ejpam-3308	165	9	.	.	PUNCT
ejpam-3308	166	1	j.	j.	PROPN
ejpam-3308	166	2	pure	pure	PROPN
ejpam-3308	166	3	appl	appl	PROPN
ejpam-3308	166	4	.	.	PROPN
ejpam-3308	166	5	math	math	PROPN
ejpam-3308	166	6	,	,	PUNCT
ejpam-3308	166	7	12	12	NUM
ejpam-3308	166	8	(	(	PUNCT
ejpam-3308	166	9	1	1	NUM
ejpam-3308	166	10	)	)	PUNCT
ejpam-3308	166	11	(	(	PUNCT
ejpam-3308	166	12	2019	2019	NUM
ejpam-3308	166	13	)	)	PUNCT
ejpam-3308	166	14	,	,	PUNCT
ejpam-3308	166	15	159	159	NUM
ejpam-3308	166	16	-	-	SYM
ejpam-3308	166	17	175	175	NUM
ejpam-3308	166	18	168	168	NUM
ejpam-3308	166	19	table	table	NOUN
ejpam-3308	166	20	3.4	3.4	NUM
ejpam-3308	166	21	:	:	PUNCT
ejpam-3308	166	22	hierarchical	hierarchical	ADJ
ejpam-3308	166	23	arrangement	arrangement	NOUN
ejpam-3308	166	24	of	of	ADP
ejpam-3308	166	25	numbers	number	NOUN
ejpam-3308	166	26	and	and	CCONJ
ejpam-3308	166	27	their	their	PRON
ejpam-3308	166	28	rref	rref	NOUN
ejpam-3308	166	29	.	.	PUNCT
ejpam-3308	167	1	table	table	NOUN
ejpam-3308	167	2	3.5	3.5	NUM
ejpam-3308	167	3	shows	show	VERB
ejpam-3308	167	4	a	a	DET
ejpam-3308	167	5	typical	typical	ADJ
ejpam-3308	167	6	game	game	NOUN
ejpam-3308	167	7	with	with	ADP
ejpam-3308	167	8	two	two	NUM
ejpam-3308	167	9	players	player	NOUN
ejpam-3308	167	10	.	.	PUNCT
ejpam-3308	168	1	table	table	NOUN
ejpam-3308	168	2	3.5	3.5	NUM
ejpam-3308	168	3	:	:	PUNCT
ejpam-3308	168	4	typical	typical	ADJ
ejpam-3308	168	5	play	play	NOUN
ejpam-3308	168	6	of	of	ADP
ejpam-3308	168	7	zaminamina	zaminamina	ADJ
ejpam-3308	168	8	game	game	NOUN
ejpam-3308	168	9	by	by	ADP
ejpam-3308	168	10	two	two	NUM
ejpam-3308	168	11	players	player	NOUN
ejpam-3308	168	12	theorem	theorem	VERB
ejpam-3308	168	13	1	1	NUM
ejpam-3308	168	14	(	(	PUNCT
ejpam-3308	168	15	symmetric	symmetric	ADJ
ejpam-3308	168	16	game	game	NOUN
ejpam-3308	168	17	)	)	PUNCT
ejpam-3308	168	18	.	.	PUNCT
ejpam-3308	169	1	a	a	DET
ejpam-3308	169	2	game	game	NOUN
ejpam-3308	169	3	is	be	AUX
ejpam-3308	169	4	said	say	VERB
ejpam-3308	169	5	to	to	PART
ejpam-3308	169	6	be	be	AUX
ejpam-3308	169	7	symmetric	symmetric	ADJ
ejpam-3308	169	8	if	if	SCONJ
ejpam-3308	169	9	it	it	PRON
ejpam-3308	169	10	is	be	AUX
ejpam-3308	169	11	finite	finite	ADJ
ejpam-3308	169	12	,	,	PUNCT
ejpam-3308	169	13	having	have	VERB
ejpam-3308	169	14	a	a	DET
ejpam-3308	169	15	square	square	ADJ
ejpam-3308	169	16	matrix	matrix	NOUN
ejpam-3308	169	17	and	and	CCONJ
ejpam-3308	169	18	skew	skew	NOUN
ejpam-3308	169	19	-	-	PUNCT
ejpam-3308	169	20	symmetric	symmetric	ADJ
ejpam-3308	169	21	.	.	PUNCT
ejpam-3308	170	1	proof	proof	NOUN
ejpam-3308	170	2	.	.	PUNCT
ejpam-3308	171	1	suppose	suppose	VERB
ejpam-3308	171	2	a=(s	a=(s	PROPN
ejpam-3308	171	3	,	,	PUNCT
ejpam-3308	171	4	s	s	NOUN
ejpam-3308	171	5	,	,	PUNCT
ejpam-3308	171	6	u1	u1	NOUN
ejpam-3308	171	7	;	;	PUNCT
ejpam-3308	171	8	u2	u2	PROPN
ejpam-3308	171	9	)	)	PUNCT
ejpam-3308	171	10	be	be	VERB
ejpam-3308	171	11	a	a	DET
ejpam-3308	171	12	two	two	NUM
ejpam-3308	171	13	player	player	NOUN
ejpam-3308	171	14	strategic	strategic	ADJ
ejpam-3308	171	15	form	form	NOUN
ejpam-3308	171	16	game	game	NOUN
ejpam-3308	171	17	in	in	ADP
ejpam-3308	171	18	which	which	PRON
ejpam-3308	171	19	s	s	VERB
ejpam-3308	171	20	is	be	AUX
ejpam-3308	171	21	a	a	DET
ejpam-3308	171	22	hausdorff	hausdorff	NOUN
ejpam-3308	171	23	space	space	NOUN
ejpam-3308	171	24	and	and	CCONJ
ejpam-3308	171	25	u1	u1	NOUN
ejpam-3308	171	26	;	;	PUNCT
ejpam-3308	171	27	u2	u2	NOUN
ejpam-3308	171	28	:	:	PUNCT
ejpam-3308	171	29	sxs→r	sxs→r	NOUN
ejpam-3308	171	30	are	be	AUX
ejpam-3308	171	31	borel	borel	NOUN
ejpam-3308	171	32	measurable	measurable	NOUN
ejpam-3308	171	33	and	and	CCONJ
ejpam-3308	171	34	bounded	bound	VERB
ejpam-3308	171	35	.	.	PUNCT
ejpam-3308	172	1	assume	assume	VERB
ejpam-3308	172	2	a	a	PRON
ejpam-3308	172	3	is	be	AUX
ejpam-3308	172	4	symmetric	symmetric	ADJ
ejpam-3308	172	5	,	,	PUNCT
ejpam-3308	172	6	so	so	SCONJ
ejpam-3308	172	7	that	that	SCONJ
ejpam-3308	172	8	u1(s1	u1(s1	NOUN
ejpam-3308	172	9	;	;	PUNCT
ejpam-3308	172	10	s2	s2	PROPN
ejpam-3308	172	11	)	)	PUNCT
ejpam-3308	172	12	=	=	SYM
ejpam-3308	172	13	u2(s2	u2(s2	NUM
ejpam-3308	172	14	;	;	PUNCT
ejpam-3308	172	15	s1	s1	NOUN
ejpam-3308	172	16	)	)	PUNCT
ejpam-3308	172	17	for	for	ADP
ejpam-3308	172	18	all	all	DET
ejpam-3308	172	19	s1	s1	NOUN
ejpam-3308	172	20	;	;	PUNCT
ejpam-3308	172	21	s2	s2	PROPN
ejpam-3308	172	22	∈s	∈s	NOUN
ejpam-3308	172	23	.	.	PUNCT
ejpam-3308	173	1	a	a	DET
ejpam-3308	173	2	mixed	mixed	ADJ
ejpam-3308	173	3	strategy	strategy	NOUN
ejpam-3308	173	4	for	for	ADP
ejpam-3308	173	5	player	player	NOUN
ejpam-3308	173	6	i	i	PRON
ejpam-3308	173	7	,	,	PUNCT
ejpam-3308	173	8	denoted	denote	VERB
ejpam-3308	173	9	by	by	ADP
ejpam-3308	173	10	σi	σi	PROPN
ejpam-3308	173	11	,	,	PUNCT
ejpam-3308	173	12	is	be	AUX
ejpam-3308	173	13	an	an	DET
ejpam-3308	173	14	element	element	NOUN
ejpam-3308	173	15	of	of	ADP
ejpam-3308	173	16	the	the	DET
ejpam-3308	173	17	∑	∑	PROPN
ejpam-3308	173	18	of	of	ADP
ejpam-3308	173	19	the	the	DET
ejpam-3308	173	20	payoffs	payoff	NOUN
ejpam-3308	173	21	,	,	PUNCT
ejpam-3308	173	22	the	the	DET
ejpam-3308	173	23	set	set	NOUN
ejpam-3308	173	24	of	of	ADP
ejpam-3308	173	25	borel	borel	PROPN
ejpam-3308	173	26	probability	probability	NOUN
ejpam-3308	173	27	measure	measure	NOUN
ejpam-3308	173	28	on	on	ADP
ejpam-3308	173	29	s.	s.	PROPN
ejpam-3308	173	30	the	the	DET
ejpam-3308	173	31	definition	definition	NOUN
ejpam-3308	173	32	of	of	ADP
ejpam-3308	173	33	the	the	DET
ejpam-3308	173	34	expected	expect	VERB
ejpam-3308	173	35	payoffs	payoff	NOUN
ejpam-3308	173	36	ui(σ1;σ2	ui(σ1;σ2	PROPN
ejpam-3308	173	37	)	)	PUNCT
ejpam-3308	173	38	generated	generate	VERB
ejpam-3308	173	39	by	by	ADP
ejpam-3308	173	40	a	a	DET
ejpam-3308	173	41	pair	pair	NOUN
ejpam-3308	173	42	of	of	ADP
ejpam-3308	173	43	mixed	mixed	ADJ
ejpam-3308	173	44	strategies	strategy	NOUN
ejpam-3308	173	45	.	.	PUNCT
ejpam-3308	174	1	then	then	ADV
ejpam-3308	174	2	(	(	PUNCT
ejpam-3308	174	3	σ∗1	σ∗1	NOUN
ejpam-3308	174	4	,	,	PUNCT
ejpam-3308	174	5	σ	σ	PROPN
ejpam-3308	174	6	∗	∗	NOUN
ejpam-3308	174	7	2	2	NUM
ejpam-3308	174	8	)	)	PUNCT
ejpam-3308	174	9	is	be	AUX
ejpam-3308	174	10	symmetric	symmetric	ADJ
ejpam-3308	174	11	if	if	SCONJ
ejpam-3308	174	12	σ∗1	σ∗1	ADJ
ejpam-3308	174	13	=	=	SYM
ejpam-3308	174	14	σ∗2	σ∗2	NOUN
ejpam-3308	174	15	.	.	PUNCT
ejpam-3308	175	1	hence	hence	ADV
ejpam-3308	175	2	a	a	PRON
ejpam-3308	175	3	is	be	AUX
ejpam-3308	175	4	symmetric	symmetric	ADJ
ejpam-3308	175	5	if	if	SCONJ
ejpam-3308	175	6	u1(s1	u1(s1	NOUN
ejpam-3308	175	7	;	;	PUNCT
ejpam-3308	175	8	s2	s2	PROPN
ejpam-3308	175	9	)	)	PUNCT
ejpam-3308	175	10	=	=	SYM
ejpam-3308	176	1	-u1(s1	-u1(s1	PROPN
ejpam-3308	176	2	;	;	PUNCT
ejpam-3308	176	3	s2	s2	PROPN
ejpam-3308	176	4	)	)	PUNCT
ejpam-3308	176	5	for	for	ADP
ejpam-3308	176	6	all	all	DET
ejpam-3308	176	7	s1;s2	s1;s2	PUNCT
ejpam-3308	176	8	∈s	∈s	NOUN
ejpam-3308	176	9	.	.	PUNCT
ejpam-3308	177	1	3.4	3.4	NUM
ejpam-3308	177	2	.	.	PUNCT
ejpam-3308	177	3	symmetry	symmetry	NOUN
ejpam-3308	177	4	of	of	ADP
ejpam-3308	177	5	the	the	DET
ejpam-3308	177	6	zaminamina	zaminamina	PROPN
ejpam-3308	177	7	draft	draft	NOUN
ejpam-3308	177	8	game	game	NOUN
ejpam-3308	177	9	.	.	PUNCT
ejpam-3308	178	1	the	the	DET
ejpam-3308	178	2	zaminamina	zaminamina	PROPN
ejpam-3308	178	3	draft	draft	NOUN
ejpam-3308	178	4	game	game	NOUN
ejpam-3308	178	5	is	be	AUX
ejpam-3308	178	6	symmetric	symmetric	ADJ
ejpam-3308	178	7	because	because	SCONJ
ejpam-3308	178	8	of	of	ADP
ejpam-3308	178	9	its	its	PRON
ejpam-3308	178	10	square	square	ADJ
ejpam-3308	178	11	nature	nature	NOUN
ejpam-3308	178	12	and	and	CCONJ
ejpam-3308	178	13	its	its	PRON
ejpam-3308	178	14	rules	rule	NOUN
ejpam-3308	178	15	in	in	ADP
ejpam-3308	178	16	playing	play	VERB
ejpam-3308	178	17	amongst	amongst	ADP
ejpam-3308	178	18	both	both	DET
ejpam-3308	178	19	players	player	NOUN
ejpam-3308	178	20	.	.	PUNCT
ejpam-3308	179	1	as	as	ADP
ejpam-3308	179	2	a	a	DET
ejpam-3308	179	3	result	result	NOUN
ejpam-3308	179	4	it	it	PRON
ejpam-3308	179	5	is	be	AUX
ejpam-3308	179	6	only	only	ADV
ejpam-3308	179	7	necessary	necessary	ADJ
ejpam-3308	179	8	to	to	PART
ejpam-3308	179	9	consider	consider	VERB
ejpam-3308	179	10	squares	square	NOUN
ejpam-3308	179	11	1	1	NUM
ejpam-3308	179	12	,	,	PUNCT
ejpam-3308	179	13	6	6	NUM
ejpam-3308	179	14	e.	e.	PROPN
ejpam-3308	179	15	k.	k.	PROPN
ejpam-3308	179	16	donkoh	donkoh	PROPN
ejpam-3308	179	17	et	et	PROPN
ejpam-3308	179	18	al	al	PROPN
ejpam-3308	179	19	.	.	PUNCT
ejpam-3308	179	20	/	/	SYM
ejpam-3308	179	21	eur	eur	PROPN
ejpam-3308	179	22	.	.	PUNCT
ejpam-3308	180	1	j.	j.	PROPN
ejpam-3308	180	2	pure	pure	PROPN
ejpam-3308	180	3	appl	appl	PROPN
ejpam-3308	180	4	.	.	PROPN
ejpam-3308	180	5	math	math	PROPN
ejpam-3308	180	6	,	,	PUNCT
ejpam-3308	180	7	12	12	NUM
ejpam-3308	180	8	(	(	PUNCT
ejpam-3308	180	9	1	1	NUM
ejpam-3308	180	10	)	)	PUNCT
ejpam-3308	180	11	(	(	PUNCT
ejpam-3308	180	12	2019	2019	NUM
ejpam-3308	180	13	)	)	PUNCT
ejpam-3308	180	14	,	,	PUNCT
ejpam-3308	180	15	159	159	NUM
ejpam-3308	180	16	-	-	SYM
ejpam-3308	180	17	175	175	NUM
ejpam-3308	180	18	169	169	NUM
ejpam-3308	180	19	and	and	CCONJ
ejpam-3308	180	20	7	7	NUM
ejpam-3308	180	21	for	for	ADP
ejpam-3308	180	22	player	player	NOUN
ejpam-3308	180	23	i	i	PRON
ejpam-3308	180	24	and	and	CCONJ
ejpam-3308	180	25	a	a	DET
ejpam-3308	180	26	reduced	reduced	ADJ
ejpam-3308	180	27	number	number	NOUN
ejpam-3308	180	28	of	of	ADP
ejpam-3308	180	29	squares	square	NOUN
ejpam-3308	180	30	for	for	ADP
ejpam-3308	180	31	player	player	PROPN
ejpam-3308	180	32	ii	ii	PROPN
ejpam-3308	180	33	.	.	PUNCT
ejpam-3308	181	1	any	any	DET
ejpam-3308	181	2	moves	move	NOUN
ejpam-3308	181	3	left	leave	VERB
ejpam-3308	181	4	out	out	ADP
ejpam-3308	181	5	are	be	AUX
ejpam-3308	181	6	symmetric	symmetric	ADJ
ejpam-3308	181	7	to	to	ADP
ejpam-3308	181	8	one	one	NUM
ejpam-3308	181	9	of	of	ADP
ejpam-3308	181	10	those	those	PRON
ejpam-3308	181	11	shown	show	VERB
ejpam-3308	181	12	.	.	PUNCT
ejpam-3308	182	1	because	because	SCONJ
ejpam-3308	182	2	player	player	NOUN
ejpam-3308	182	3	i	i	PRON
ejpam-3308	182	4	goes	go	VERB
ejpam-3308	182	5	first	first	ADV
ejpam-3308	182	6	,	,	PUNCT
ejpam-3308	182	7	the	the	DET
ejpam-3308	182	8	three	three	NUM
ejpam-3308	182	9	possible	possible	ADJ
ejpam-3308	182	10	plays	play	NOUN
ejpam-3308	182	11	are	be	AUX
ejpam-3308	182	12	in	in	ADP
ejpam-3308	182	13	square	square	ADJ
ejpam-3308	182	14	1	1	NUM
ejpam-3308	182	15	,	,	PUNCT
ejpam-3308	182	16	6	6	NUM
ejpam-3308	182	17	and	and	CCONJ
ejpam-3308	182	18	7	7	NUM
ejpam-3308	182	19	.	.	PUNCT
ejpam-3308	183	1	given	give	VERB
ejpam-3308	183	2	the	the	DET
ejpam-3308	183	3	choice	choice	NOUN
ejpam-3308	183	4	of	of	ADP
ejpam-3308	183	5	player	player	NOUN
ejpam-3308	183	6	i	i	PRON
ejpam-3308	183	7	,	,	PUNCT
ejpam-3308	183	8	player	player	PROPN
ejpam-3308	183	9	ii	ii	PROPN
ejpam-3308	183	10	has	have	VERB
ejpam-3308	183	11	several	several	ADJ
ejpam-3308	183	12	remaining	remain	VERB
ejpam-3308	183	13	squares	square	NOUN
ejpam-3308	183	14	as	as	ADP
ejpam-3308	183	15	a	a	DET
ejpam-3308	183	16	possible	possible	ADJ
ejpam-3308	183	17	response	response	NOUN
ejpam-3308	183	18	.	.	PUNCT
ejpam-3308	184	1	the	the	DET
ejpam-3308	184	2	symmetric	symmetric	ADJ
ejpam-3308	184	3	nature	nature	NOUN
ejpam-3308	184	4	of	of	ADP
ejpam-3308	184	5	the	the	DET
ejpam-3308	184	6	game	game	NOUN
ejpam-3308	184	7	is	be	AUX
ejpam-3308	184	8	shown	show	VERB
ejpam-3308	184	9	in	in	ADP
ejpam-3308	184	10	table	table	NOUN
ejpam-3308	184	11	3.6	3.6	NUM
ejpam-3308	184	12	with	with	ADP
ejpam-3308	184	13	→	→	PUNCT
ejpam-3308	184	14	as	as	ADP
ejpam-3308	184	15	line	line	NOUN
ejpam-3308	184	16	of	of	ADP
ejpam-3308	184	17	symmetry	symmetry	NOUN
ejpam-3308	184	18	.	.	PUNCT
ejpam-3308	185	1	table	table	NOUN
ejpam-3308	185	2	3.6	3.6	NUM
ejpam-3308	185	3	:	:	PUNCT
ejpam-3308	185	4	symmetric	symmetric	ADJ
ejpam-3308	185	5	matrix	matrix	NOUN
ejpam-3308	185	6	table	table	NOUN
ejpam-3308	185	7	of	of	ADP
ejpam-3308	185	8	zaminamina	zaminamina	PROPN
ejpam-3308	185	9	game	game	PROPN
ejpam-3308	185	10	board	board	PROPN
ejpam-3308	185	11	as	as	SCONJ
ejpam-3308	185	12	experienced	experienced	ADJ
ejpam-3308	185	13	players	player	NOUN
ejpam-3308	185	14	observe	observe	VERB
ejpam-3308	185	15	,	,	PUNCT
ejpam-3308	185	16	the	the	DET
ejpam-3308	185	17	result	result	NOUN
ejpam-3308	185	18	of	of	ADP
ejpam-3308	185	19	the	the	DET
ejpam-3308	185	20	game	game	NOUN
ejpam-3308	185	21	is	be	AUX
ejpam-3308	185	22	completely	completely	ADV
ejpam-3308	185	23	determined	determined	ADJ
ejpam-3308	185	24	after	after	SCONJ
ejpam-3308	185	25	the	the	DET
ejpam-3308	185	26	first	first	ADJ
ejpam-3308	185	27	player	player	NOUN
ejpam-3308	185	28	(	(	PUNCT
ejpam-3308	185	29	x	x	NOUN
ejpam-3308	185	30	)	)	PUNCT
ejpam-3308	185	31	and	and	CCONJ
ejpam-3308	185	32	the	the	DET
ejpam-3308	185	33	second	second	ADJ
ejpam-3308	185	34	player	player	NOUN
ejpam-3308	185	35	(	(	PUNCT
ejpam-3308	185	36	o	o	NOUN
ejpam-3308	185	37	)	)	PUNCT
ejpam-3308	185	38	have	have	AUX
ejpam-3308	185	39	played	play	VERB
ejpam-3308	185	40	,	,	PUNCT
ejpam-3308	185	41	assuming	assume	VERB
ejpam-3308	185	42	neither	neither	DET
ejpam-3308	185	43	player	player	NOUN
ejpam-3308	185	44	makes	make	VERB
ejpam-3308	185	45	a	a	DET
ejpam-3308	185	46	mistake	mistake	NOUN
ejpam-3308	185	47	.	.	PUNCT
ejpam-3308	186	1	representing	represent	VERB
ejpam-3308	186	2	a	a	DET
ejpam-3308	186	3	win	win	NOUN
ejpam-3308	186	4	for	for	ADP
ejpam-3308	186	5	x	x	PUNCT
ejpam-3308	186	6	as	as	ADP
ejpam-3308	186	7	the	the	DET
ejpam-3308	186	8	value	value	NOUN
ejpam-3308	186	9	1	1	NUM
ejpam-3308	186	10	,	,	PUNCT
ejpam-3308	186	11	a	a	DET
ejpam-3308	186	12	tie	tie	NOUN
ejpam-3308	186	13	with	with	ADP
ejpam-3308	186	14	a	a	DET
ejpam-3308	186	15	0	0	NUM
ejpam-3308	186	16	,	,	PUNCT
ejpam-3308	186	17	and	and	CCONJ
ejpam-3308	186	18	a	a	DET
ejpam-3308	186	19	win	win	NOUN
ejpam-3308	186	20	for	for	ADP
ejpam-3308	186	21	o	o	NOUN
ejpam-3308	186	22	as	as	ADP
ejpam-3308	186	23	-1	-1	PUNCT
ejpam-3308	186	24	.	.	PUNCT
ejpam-3308	187	1	figure	figure	NOUN
ejpam-3308	187	2	2	2	NUM
ejpam-3308	187	3	shows	show	VERB
ejpam-3308	187	4	the	the	DET
ejpam-3308	187	5	decision	decision	NOUN
ejpam-3308	187	6	tree	tree	NOUN
ejpam-3308	187	7	based	base	VERB
ejpam-3308	187	8	on	on	ADP
ejpam-3308	187	9	the	the	DET
ejpam-3308	187	10	first	first	ADJ
ejpam-3308	187	11	two	two	NUM
ejpam-3308	187	12	plays	play	NOUN
ejpam-3308	187	13	.	.	PUNCT
ejpam-3308	188	1	the	the	DET
ejpam-3308	188	2	results	result	NOUN
ejpam-3308	188	3	of	of	ADP
ejpam-3308	188	4	the	the	DET
ejpam-3308	188	5	game	game	NOUN
ejpam-3308	188	6	given	give	VERB
ejpam-3308	188	7	the	the	DET
ejpam-3308	188	8	first	first	ADJ
ejpam-3308	188	9	two	two	NUM
ejpam-3308	188	10	plays	play	NOUN
ejpam-3308	188	11	are	be	AUX
ejpam-3308	188	12	shown	show	VERB
ejpam-3308	188	13	in	in	ADP
ejpam-3308	188	14	the	the	DET
ejpam-3308	188	15	figure	figure	NOUN
ejpam-3308	188	16	2	2	NUM
ejpam-3308	188	17	.	.	PUNCT
ejpam-3308	188	18	figure	figure	NOUN
ejpam-3308	188	19	2	2	NUM
ejpam-3308	188	20	:	:	PUNCT
ejpam-3308	188	21	decision	decision	NOUN
ejpam-3308	188	22	tree	tree	NOUN
ejpam-3308	188	23	for	for	ADP
ejpam-3308	188	24	first	first	ADJ
ejpam-3308	188	25	two	two	NUM
ejpam-3308	188	26	plays	play	NOUN
ejpam-3308	188	27	in	in	ADP
ejpam-3308	188	28	the	the	DET
ejpam-3308	188	29	zaminamina	zaminamina	PROPN
ejpam-3308	188	30	game	game	NOUN
ejpam-3308	188	31	the	the	DET
ejpam-3308	188	32	game	game	NOUN
ejpam-3308	188	33	shown	show	VERB
ejpam-3308	188	34	in	in	ADP
ejpam-3308	188	35	table	table	NOUN
ejpam-3308	188	36	3.5	3.5	NUM
ejpam-3308	188	37	(	(	PUNCT
ejpam-3308	188	38	b	b	NOUN
ejpam-3308	188	39	)	)	PUNCT
ejpam-3308	188	40	to	to	ADP
ejpam-3308	188	41	(	(	PUNCT
ejpam-3308	188	42	h	h	NOUN
ejpam-3308	188	43	)	)	PUNCT
ejpam-3308	188	44	follows	follow	VERB
ejpam-3308	188	45	the	the	DET
ejpam-3308	188	46	bottom	bottom	ADJ
ejpam-3308	188	47	path	path	NOUN
ejpam-3308	188	48	of	of	ADP
ejpam-3308	188	49	the	the	DET
ejpam-3308	188	50	decision	decision	NOUN
ejpam-3308	188	51	tree	tree	NOUN
ejpam-3308	188	52	where	where	SCONJ
ejpam-3308	188	53	player	player	NOUN
ejpam-3308	188	54	i	i	PRON
ejpam-3308	188	55	uses	use	VERB
ejpam-3308	188	56	square	square	NOUN
ejpam-3308	188	57	1	1	NUM
ejpam-3308	188	58	,	,	PUNCT
ejpam-3308	188	59	the	the	DET
ejpam-3308	188	60	centre	centre	NOUN
ejpam-3308	188	61	,	,	PUNCT
ejpam-3308	188	62	and	and	CCONJ
ejpam-3308	188	63	player	player	NOUN
ejpam-3308	188	64	ii	ii	PROPN
ejpam-3308	188	65	follows	follow	VERB
ejpam-3308	188	66	with	with	ADP
ejpam-3308	188	67	square	square	ADJ
ejpam-3308	188	68	6	6	NUM
ejpam-3308	188	69	.	.	PUNCT
ejpam-3308	189	1	the	the	DET
ejpam-3308	189	2	ultimate	ultimate	ADJ
ejpam-3308	189	3	result	result	NOUN
ejpam-3308	189	4	is	be	AUX
ejpam-3308	189	5	a	a	DET
ejpam-3308	189	6	win	win	NOUN
ejpam-3308	189	7	(	(	PUNCT
ejpam-3308	189	8	+1	+1	PROPN
ejpam-3308	189	9	)	)	PUNCT
ejpam-3308	189	10	for	for	ADP
ejpam-3308	189	11	player	player	NOUN
ejpam-3308	189	12	i.	i.	NOUN
ejpam-3308	189	13	if	if	SCONJ
ejpam-3308	189	14	player	player	NOUN
ejpam-3308	189	15	ii	ii	PROPN
ejpam-3308	189	16	follows	follow	VERB
ejpam-3308	189	17	with	with	ADP
ejpam-3308	189	18	square	square	ADJ
ejpam-3308	189	19	7	7	NUM
ejpam-3308	189	20	,	,	PUNCT
ejpam-3308	189	21	it	it	PRON
ejpam-3308	189	22	is	be	AUX
ejpam-3308	189	23	a	a	DET
ejpam-3308	189	24	loss	loss	NOUN
ejpam-3308	189	25	(	(	PUNCT
ejpam-3308	189	26	0	0	NUM
ejpam-3308	189	27	)	)	PUNCT
ejpam-3308	189	28	.	.	PUNCT
ejpam-3308	190	1	the	the	DET
ejpam-3308	190	2	complete	complete	ADJ
ejpam-3308	190	3	game	game	NOUN
ejpam-3308	190	4	in	in	ADP
ejpam-3308	190	5	table	table	NOUN
ejpam-3308	190	6	3.5(i	3.5(i	NUM
ejpam-3308	190	7	)	)	PUNCT
ejpam-3308	190	8	is	be	AUX
ejpam-3308	190	9	the	the	DET
ejpam-3308	190	10	result	result	NOUN
ejpam-3308	190	11	obtained	obtain	VERB
ejpam-3308	190	12	when	when	SCONJ
ejpam-3308	190	13	player	player	NOUN
ejpam-3308	190	14	i	i	PRON
ejpam-3308	190	15	starts	start	VERB
ejpam-3308	190	16	with	with	ADP
ejpam-3308	190	17	square	square	ADJ
ejpam-3308	190	18	6	6	NUM
ejpam-3308	190	19	and	and	CCONJ
ejpam-3308	190	20	player	player	NOUN
ejpam-3308	190	21	ii	ii	NOUN
ejpam-3308	190	22	counters	counter	NOUN
ejpam-3308	190	23	with	with	ADP
ejpam-3308	190	24	square	square	ADJ
ejpam-3308	190	25	7	7	NUM
ejpam-3308	190	26	as	as	SCONJ
ejpam-3308	190	27	shown	show	VERB
ejpam-3308	190	28	in	in	ADP
ejpam-3308	190	29	the	the	DET
ejpam-3308	190	30	topmost	topmost	ADJ
ejpam-3308	190	31	part	part	NOUN
ejpam-3308	190	32	in	in	ADP
ejpam-3308	190	33	figure	figure	NOUN
ejpam-3308	190	34	2	2	NUM
ejpam-3308	190	35	.	.	PUNCT
ejpam-3308	191	1	the	the	DET
ejpam-3308	191	2	game	game	NOUN
ejpam-3308	191	3	is	be	AUX
ejpam-3308	191	4	always	always	ADV
ejpam-3308	191	5	a	a	DET
ejpam-3308	191	6	tie	tie	NOUN
ejpam-3308	191	7	when	when	SCONJ
ejpam-3308	191	8	the	the	DET
ejpam-3308	191	9	successive	successive	ADJ
ejpam-3308	191	10	plays	play	NOUN
ejpam-3308	191	11	are	be	AUX
ejpam-3308	191	12	made	make	VERB
ejpam-3308	191	13	intelligently	intelligently	ADV
ejpam-3308	191	14	.	.	PUNCT
ejpam-3308	192	1	the	the	DET
ejpam-3308	192	2	decision	decision	NOUN
ejpam-3308	192	3	tree	tree	NOUN
ejpam-3308	192	4	in	in	ADP
ejpam-3308	192	5	figure	figure	NOUN
ejpam-3308	192	6	e.	e.	PROPN
ejpam-3308	192	7	k.	k.	PROPN
ejpam-3308	192	8	donkoh	donkoh	PROPN
ejpam-3308	192	9	et	et	PROPN
ejpam-3308	192	10	al	al	PROPN
ejpam-3308	192	11	.	.	PUNCT
ejpam-3308	192	12	/	/	SYM
ejpam-3308	192	13	eur	eur	PROPN
ejpam-3308	192	14	.	.	PUNCT
ejpam-3308	193	1	j.	j.	PROPN
ejpam-3308	193	2	pure	pure	PROPN
ejpam-3308	193	3	appl	appl	PROPN
ejpam-3308	193	4	.	.	PROPN
ejpam-3308	193	5	math	math	PROPN
ejpam-3308	193	6	,	,	PUNCT
ejpam-3308	193	7	12	12	NUM
ejpam-3308	193	8	(	(	PUNCT
ejpam-3308	193	9	1	1	NUM
ejpam-3308	193	10	)	)	PUNCT
ejpam-3308	193	11	(	(	PUNCT
ejpam-3308	193	12	2019	2019	NUM
ejpam-3308	193	13	)	)	PUNCT
ejpam-3308	193	14	,	,	PUNCT
ejpam-3308	193	15	159	159	NUM
ejpam-3308	193	16	-	-	SYM
ejpam-3308	193	17	175	175	NUM
ejpam-3308	193	18	170	170	NUM
ejpam-3308	193	19	2	2	NUM
ejpam-3308	193	20	.	.	NOUN
ejpam-3308	193	21	which	which	PRON
ejpam-3308	193	22	is	be	AUX
ejpam-3308	193	23	a	a	DET
ejpam-3308	193	24	model	model	NOUN
ejpam-3308	193	25	game	game	NOUN
ejpam-3308	193	26	called	call	VERB
ejpam-3308	193	27	the	the	DET
ejpam-3308	193	28	extensive	extensive	ADJ
ejpam-3308	193	29	form	form	NOUN
ejpam-3308	193	30	depicts	depict	VERB
ejpam-3308	193	31	the	the	DET
ejpam-3308	193	32	sequential	sequential	ADJ
ejpam-3308	193	33	nature	nature	NOUN
ejpam-3308	193	34	of	of	ADP
ejpam-3308	193	35	the	the	DET
ejpam-3308	193	36	game	game	NOUN
ejpam-3308	193	37	.	.	PUNCT
ejpam-3308	194	1	even	even	ADV
ejpam-3308	194	2	for	for	ADP
ejpam-3308	194	3	this	this	DET
ejpam-3308	194	4	simple	simple	ADJ
ejpam-3308	194	5	situation	situation	NOUN
ejpam-3308	194	6	,	,	PUNCT
ejpam-3308	194	7	the	the	DET
ejpam-3308	194	8	extensive	extensive	ADJ
ejpam-3308	194	9	form	form	NOUN
ejpam-3308	194	10	can	can	AUX
ejpam-3308	194	11	be	be	AUX
ejpam-3308	194	12	very	very	ADV
ejpam-3308	194	13	large	large	ADJ
ejpam-3308	194	14	.	.	PUNCT
ejpam-3308	195	1	if	if	SCONJ
ejpam-3308	195	2	we	we	PRON
ejpam-3308	195	3	had	have	AUX
ejpam-3308	195	4	not	not	PART
ejpam-3308	195	5	recognized	recognize	VERB
ejpam-3308	195	6	the	the	DET
ejpam-3308	195	7	symmetry	symmetry	NOUN
ejpam-3308	195	8	of	of	ADP
ejpam-3308	195	9	the	the	DET
ejpam-3308	195	10	game	game	NOUN
ejpam-3308	195	11	and	and	CCONJ
ejpam-3308	195	12	the	the	DET
ejpam-3308	195	13	fact	fact	NOUN
ejpam-3308	195	14	that	that	SCONJ
ejpam-3308	195	15	only	only	ADV
ejpam-3308	195	16	the	the	DET
ejpam-3308	195	17	first	first	ADJ
ejpam-3308	195	18	two	two	NUM
ejpam-3308	195	19	moves	move	NOUN
ejpam-3308	195	20	are	be	AUX
ejpam-3308	195	21	important	important	ADJ
ejpam-3308	195	22	,	,	PUNCT
ejpam-3308	195	23	the	the	DET
ejpam-3308	195	24	tree	tree	NOUN
ejpam-3308	195	25	would	would	AUX
ejpam-3308	195	26	be	be	AUX
ejpam-3308	195	27	very	very	ADV
ejpam-3308	195	28	complex	complex	ADJ
ejpam-3308	195	29	.	.	PUNCT
ejpam-3308	196	1	4	4	X
ejpam-3308	196	2	.	.	X
ejpam-3308	196	3	the	the	DET
ejpam-3308	196	4	zaminamina	zaminamina	PROPN
ejpam-3308	196	5	board	board	PROPN
ejpam-3308	196	6	game	game	PROPN
ejpam-3308	196	7	user	user	PROPN
ejpam-3308	196	8	interface	interface	PROPN
ejpam-3308	196	9	(	(	PUNCT
ejpam-3308	196	10	gui	gui	PROPN
ejpam-3308	196	11	)	)	PUNCT
ejpam-3308	196	12	a	a	DET
ejpam-3308	196	13	code	code	NOUN
ejpam-3308	196	14	is	be	AUX
ejpam-3308	196	15	written	write	VERB
ejpam-3308	196	16	to	to	PART
ejpam-3308	196	17	give	give	VERB
ejpam-3308	196	18	a	a	DET
ejpam-3308	196	19	description	description	NOUN
ejpam-3308	196	20	of	of	ADP
ejpam-3308	196	21	the	the	DET
ejpam-3308	196	22	gui	gui	NOUN
ejpam-3308	196	23	of	of	ADP
ejpam-3308	196	24	the	the	DET
ejpam-3308	196	25	game	game	NOUN
ejpam-3308	196	26	in	in	ADP
ejpam-3308	196	27	python	python	NOUN
ejpam-3308	196	28	programming	programming	NOUN
ejpam-3308	196	29	language	language	NOUN
ejpam-3308	196	30	and	and	CCONJ
ejpam-3308	196	31	the	the	DET
ejpam-3308	196	32	rref	rref	NOUN
ejpam-3308	196	33	of	of	ADP
ejpam-3308	196	34	the	the	DET
ejpam-3308	196	35	different	different	ADJ
ejpam-3308	196	36	interpositions	interposition	NOUN
ejpam-3308	196	37	of	of	ADP
ejpam-3308	196	38	both	both	DET
ejpam-3308	196	39	plays	play	NOUN
ejpam-3308	196	40	in	in	ADP
ejpam-3308	196	41	matlab	matlab	PROPN
ejpam-3308	196	42	that	that	PRON
ejpam-3308	196	43	gives	give	VERB
ejpam-3308	196	44	a	a	DET
ejpam-3308	196	45	center	center	NOUN
ejpam-3308	196	46	starting	starting	NOUN
ejpam-3308	196	47	and	and	CCONJ
ejpam-3308	196	48	edge	edge	NOUN
ejpam-3308	196	49	or	or	CCONJ
ejpam-3308	196	50	vertex	vertex	NOUN
ejpam-3308	196	51	starting	start	VERB
ejpam-3308	196	52	strategy	strategy	NOUN
ejpam-3308	196	53	for	for	ADP
ejpam-3308	196	54	a	a	DET
ejpam-3308	196	55	winning	win	VERB
ejpam-3308	196	56	game	game	NOUN
ejpam-3308	196	57	.	.	PUNCT
ejpam-3308	197	1	also	also	ADV
ejpam-3308	197	2	,	,	PUNCT
ejpam-3308	197	3	since	since	SCONJ
ejpam-3308	197	4	it	it	PRON
ejpam-3308	197	5	requires	require	VERB
ejpam-3308	197	6	either	either	CCONJ
ejpam-3308	197	7	a	a	DET
ejpam-3308	197	8	player	player	NOUN
ejpam-3308	197	9	against	against	ADP
ejpam-3308	197	10	computer	computer	NOUN
ejpam-3308	197	11	or	or	CCONJ
ejpam-3308	197	12	2	2	NUM
ejpam-3308	197	13	different	different	ADJ
ejpam-3308	197	14	players	player	NOUN
ejpam-3308	197	15	,	,	PUNCT
ejpam-3308	197	16	we	we	PRON
ejpam-3308	197	17	set	set	VERB
ejpam-3308	197	18	a	a	DET
ejpam-3308	197	19	button	button	NOUN
ejpam-3308	197	20	and	and	CCONJ
ejpam-3308	197	21	textbox	textbox	NOUN
ejpam-3308	197	22	for	for	ADP
ejpam-3308	197	23	the	the	DET
ejpam-3308	197	24	number	number	NOUN
ejpam-3308	197	25	of	of	ADP
ejpam-3308	197	26	players	player	NOUN
ejpam-3308	197	27	selection	selection	NOUN
ejpam-3308	197	28	.	.	PUNCT
ejpam-3308	198	1	for	for	ADP
ejpam-3308	198	2	a	a	DET
ejpam-3308	198	3	user	user	NOUN
ejpam-3308	198	4	friendly	friendly	ADJ
ejpam-3308	198	5	game	game	PROPN
ejpam-3308	198	6	board	board	PROPN
ejpam-3308	198	7	environment	environment	NOUN
ejpam-3308	198	8	,	,	PUNCT
ejpam-3308	198	9	we	we	PRON
ejpam-3308	198	10	place	place	VERB
ejpam-3308	198	11	on	on	ADP
ejpam-3308	198	12	the	the	DET
ejpam-3308	198	13	board	board	NOUN
ejpam-3308	198	14	a	a	DET
ejpam-3308	198	15	new	new	ADJ
ejpam-3308	198	16	game	game	NOUN
ejpam-3308	198	17	button	button	NOUN
ejpam-3308	198	18	for	for	ADP
ejpam-3308	198	19	a	a	DET
ejpam-3308	198	20	restart	restart	NOUN
ejpam-3308	198	21	of	of	ADP
ejpam-3308	198	22	a	a	DET
ejpam-3308	198	23	game	game	NOUN
ejpam-3308	198	24	and	and	CCONJ
ejpam-3308	198	25	a	a	DET
ejpam-3308	198	26	quit	quit	ADJ
ejpam-3308	198	27	button	button	NOUN
ejpam-3308	198	28	for	for	ADP
ejpam-3308	198	29	an	an	DET
ejpam-3308	198	30	exit	exit	NOUN
ejpam-3308	198	31	of	of	ADP
ejpam-3308	198	32	the	the	DET
ejpam-3308	198	33	game	game	NOUN
ejpam-3308	198	34	.	.	PUNCT
ejpam-3308	199	1	figure	figure	NOUN
ejpam-3308	199	2	3	3	NUM
ejpam-3308	199	3	:	:	PUNCT
ejpam-3308	199	4	zaminamina	zaminamina	PROPN
ejpam-3308	199	5	draft	draft	NOUN
ejpam-3308	199	6	game	game	NOUN
ejpam-3308	199	7	board	board	NOUN
ejpam-3308	200	1	[	[	X
ejpam-3308	200	2	gui	gui	X
ejpam-3308	200	3	]	]	X
ejpam-3308	200	4	4.1	4.1	NUM
ejpam-3308	200	5	.	.	PUNCT
ejpam-3308	200	6	zaminamina	zaminamina	PROPN
ejpam-3308	200	7	draft	draft	NOUN
ejpam-3308	200	8	game	game	NOUN
ejpam-3308	200	9	appearance	appearance	NOUN
ejpam-3308	200	10	.	.	PUNCT
ejpam-3308	201	1	the	the	DET
ejpam-3308	201	2	game	game	NOUN
ejpam-3308	201	3	has	have	VERB
ejpam-3308	201	4	a	a	DET
ejpam-3308	201	5	design	design	NOUN
ejpam-3308	201	6	which	which	PRON
ejpam-3308	201	7	makes	make	VERB
ejpam-3308	201	8	the	the	DET
ejpam-3308	201	9	plays	play	NOUN
ejpam-3308	201	10	of	of	ADP
ejpam-3308	201	11	both	both	DET
ejpam-3308	201	12	players	player	NOUN
ejpam-3308	201	13	distinct	distinct	ADJ
ejpam-3308	201	14	from	from	ADP
ejpam-3308	201	15	each	each	DET
ejpam-3308	201	16	other	other	ADJ
ejpam-3308	201	17	.	.	PUNCT
ejpam-3308	202	1	player	player	NOUN
ejpam-3308	203	1	i	i	PRON
ejpam-3308	203	2	plays	play	VERB
ejpam-3308	203	3	x	x	PUNCT
ejpam-3308	203	4	and	and	CCONJ
ejpam-3308	203	5	the	the	DET
ejpam-3308	203	6	colour	colour	NOUN
ejpam-3308	203	7	indication	indication	NOUN
ejpam-3308	203	8	is	be	AUX
ejpam-3308	203	9	red	red	ADJ
ejpam-3308	203	10	whereas	whereas	SCONJ
ejpam-3308	203	11	player	player	NOUN
ejpam-3308	203	12	ii	ii	PROPN
ejpam-3308	203	13	plays	play	VERB
ejpam-3308	203	14	and	and	CCONJ
ejpam-3308	203	15	the	the	DET
ejpam-3308	203	16	colour	colour	NOUN
ejpam-3308	203	17	indication	indication	NOUN
ejpam-3308	203	18	is	be	AUX
ejpam-3308	203	19	blue	blue	ADJ
ejpam-3308	203	20	as	as	SCONJ
ejpam-3308	203	21	shown	show	VERB
ejpam-3308	203	22	in	in	ADP
ejpam-3308	203	23	figure	figure	NOUN
ejpam-3308	203	24	3	3	NUM
ejpam-3308	203	25	.	.	PUNCT
ejpam-3308	204	1	there	there	PRON
ejpam-3308	204	2	are	be	VERB
ejpam-3308	204	3	3	3	NUM
ejpam-3308	204	4	different	different	ADJ
ejpam-3308	204	5	outputs	output	NOUN
ejpam-3308	204	6	at	at	ADP
ejpam-3308	204	7	the	the	DET
ejpam-3308	204	8	end	end	NOUN
ejpam-3308	204	9	of	of	ADP
ejpam-3308	204	10	every	every	DET
ejpam-3308	204	11	play	play	NOUN
ejpam-3308	204	12	which	which	PRON
ejpam-3308	204	13	is	be	AUX
ejpam-3308	204	14	either	either	CCONJ
ejpam-3308	204	15	a	a	DET
ejpam-3308	204	16	win	win	NOUN
ejpam-3308	204	17	,	,	PUNCT
ejpam-3308	204	18	tie	tie	NOUN
ejpam-3308	204	19	or	or	CCONJ
ejpam-3308	204	20	a	a	DET
ejpam-3308	204	21	lose	lose	NOUN
ejpam-3308	204	22	for	for	ADP
ejpam-3308	204	23	a	a	DET
ejpam-3308	204	24	player	player	NOUN
ejpam-3308	204	25	figure	figure	NOUN
ejpam-3308	204	26	4.(b	4.(b	PROPN
ejpam-3308	204	27	)	)	PUNCT
ejpam-3308	204	28	is	be	AUX
ejpam-3308	204	29	an	an	DET
ejpam-3308	204	30	image	image	NOUN
ejpam-3308	204	31	of	of	ADP
ejpam-3308	204	32	a	a	DET
ejpam-3308	204	33	win	win	NOUN
ejpam-3308	204	34	at	at	ADP
ejpam-3308	204	35	the	the	DET
ejpam-3308	204	36	end	end	NOUN
ejpam-3308	204	37	of	of	ADP
ejpam-3308	204	38	a	a	DET
ejpam-3308	204	39	play	play	NOUN
ejpam-3308	204	40	.	.	PUNCT
ejpam-3308	205	1	4.2	4.2	NUM
ejpam-3308	205	2	.	.	PUNCT
ejpam-3308	206	1	the	the	DET
ejpam-3308	206	2	strategic	strategic	ADJ
ejpam-3308	206	3	moves	move	NOUN
ejpam-3308	206	4	.	.	PUNCT
ejpam-3308	207	1	a	a	DET
ejpam-3308	207	2	player	player	NOUN
ejpam-3308	207	3	can	can	AUX
ejpam-3308	207	4	play	play	VERB
ejpam-3308	207	5	a	a	DET
ejpam-3308	207	6	perfect	perfect	ADJ
ejpam-3308	207	7	game	game	NOUN
ejpam-3308	207	8	of	of	ADP
ejpam-3308	207	9	zaminamina	zaminamina	PROPN
ejpam-3308	207	10	draft	draft	NOUN
ejpam-3308	207	11	(	(	PUNCT
ejpam-3308	207	12	to	to	PART
ejpam-3308	207	13	win	win	VERB
ejpam-3308	207	14	or	or	CCONJ
ejpam-3308	207	15	,	,	PUNCT
ejpam-3308	207	16	at	at	ADP
ejpam-3308	207	17	least	least	ADJ
ejpam-3308	207	18	,	,	PUNCT
ejpam-3308	207	19	draw	draw	VERB
ejpam-3308	207	20	)	)	PUNCT
ejpam-3308	207	21	if	if	SCONJ
ejpam-3308	207	22	they	they	PRON
ejpam-3308	207	23	choose	choose	VERB
ejpam-3308	207	24	the	the	DET
ejpam-3308	207	25	first	first	ADJ
ejpam-3308	207	26	available	available	ADJ
ejpam-3308	207	27	move	move	NOUN
ejpam-3308	207	28	from	from	ADP
ejpam-3308	207	29	the	the	DET
ejpam-3308	207	30	following	follow	VERB
ejpam-3308	207	31	list	list	NOUN
ejpam-3308	207	32	;	;	PUNCT
ejpam-3308	207	33	a	a	DET
ejpam-3308	207	34	)	)	PUNCT
ejpam-3308	207	35	win	win	NOUN
ejpam-3308	207	36	:	:	PUNCT
ejpam-3308	207	37	if	if	SCONJ
ejpam-3308	207	38	the	the	DET
ejpam-3308	207	39	player	player	NOUN
ejpam-3308	207	40	has	have	VERB
ejpam-3308	207	41	two	two	NUM
ejpam-3308	207	42	in	in	ADP
ejpam-3308	207	43	a	a	DET
ejpam-3308	207	44	row	row	NOUN
ejpam-3308	207	45	,	,	PUNCT
ejpam-3308	207	46	they	they	PRON
ejpam-3308	207	47	can	can	AUX
ejpam-3308	207	48	place	place	VERB
ejpam-3308	207	49	a	a	DET
ejpam-3308	207	50	third	third	NOUN
ejpam-3308	207	51	to	to	PART
ejpam-3308	207	52	get	get	VERB
ejpam-3308	207	53	three	three	NUM
ejpam-3308	207	54	in	in	ADP
ejpam-3308	207	55	a	a	DET
ejpam-3308	207	56	row	row	NOUN
ejpam-3308	207	57	.	.	PUNCT
ejpam-3308	208	1	b	b	X
ejpam-3308	208	2	)	)	PUNCT
ejpam-3308	208	3	block	block	NOUN
ejpam-3308	208	4	:	:	PUNCT
ejpam-3308	208	5	if	if	SCONJ
ejpam-3308	208	6	the	the	DET
ejpam-3308	208	7	opponent	opponent	NOUN
ejpam-3308	208	8	has	have	VERB
ejpam-3308	208	9	two	two	NUM
ejpam-3308	208	10	in	in	ADP
ejpam-3308	208	11	a	a	DET
ejpam-3308	208	12	row	row	NOUN
ejpam-3308	208	13	,	,	PUNCT
ejpam-3308	208	14	the	the	DET
ejpam-3308	208	15	player	player	NOUN
ejpam-3308	208	16	must	must	AUX
ejpam-3308	208	17	play	play	VERB
ejpam-3308	208	18	the	the	DET
ejpam-3308	208	19	third	third	ADJ
ejpam-3308	208	20	themselves	themselves	PRON
ejpam-3308	208	21	to	to	PART
ejpam-3308	208	22	block	block	VERB
ejpam-3308	208	23	the	the	DET
ejpam-3308	208	24	opponent	opponent	NOUN
ejpam-3308	208	25	.	.	PUNCT
ejpam-3308	209	1	e.	e.	PROPN
ejpam-3308	209	2	k.	k.	PROPN
ejpam-3308	209	3	donkoh	donkoh	PROPN
ejpam-3308	209	4	et	et	PROPN
ejpam-3308	209	5	al	al	PROPN
ejpam-3308	209	6	.	.	PUNCT
ejpam-3308	209	7	/	/	SYM
ejpam-3308	209	8	eur	eur	PROPN
ejpam-3308	209	9	.	.	PUNCT
ejpam-3308	210	1	j.	j.	PROPN
ejpam-3308	210	2	pure	pure	PROPN
ejpam-3308	210	3	appl	appl	PROPN
ejpam-3308	210	4	.	.	PROPN
ejpam-3308	210	5	math	math	PROPN
ejpam-3308	210	6	,	,	PUNCT
ejpam-3308	210	7	12	12	NUM
ejpam-3308	210	8	(	(	PUNCT
ejpam-3308	210	9	1	1	NUM
ejpam-3308	210	10	)	)	PUNCT
ejpam-3308	210	11	(	(	PUNCT
ejpam-3308	210	12	2019	2019	NUM
ejpam-3308	210	13	)	)	PUNCT
ejpam-3308	210	14	,	,	PUNCT
ejpam-3308	210	15	159	159	NUM
ejpam-3308	210	16	-	-	SYM
ejpam-3308	210	17	175	175	NUM
ejpam-3308	210	18	171	171	NUM
ejpam-3308	210	19	figure	figure	NOUN
ejpam-3308	210	20	4	4	NUM
ejpam-3308	210	21	:	:	PUNCT
ejpam-3308	210	22	the	the	DET
ejpam-3308	210	23	zaminimina	zaminimina	PROPN
ejpam-3308	210	24	board	board	PROPN
ejpam-3308	210	25	game	game	NOUN
ejpam-3308	210	26	c	c	NOUN
ejpam-3308	210	27	)	)	PUNCT
ejpam-3308	210	28	fork	fork	NOUN
ejpam-3308	210	29	:	:	PUNCT
ejpam-3308	210	30	create	create	VERB
ejpam-3308	210	31	an	an	DET
ejpam-3308	210	32	opportunity	opportunity	NOUN
ejpam-3308	210	33	where	where	SCONJ
ejpam-3308	210	34	the	the	DET
ejpam-3308	210	35	player	player	NOUN
ejpam-3308	210	36	has	have	VERB
ejpam-3308	210	37	two	two	NUM
ejpam-3308	210	38	threats	threat	NOUN
ejpam-3308	210	39	to	to	PART
ejpam-3308	210	40	win	win	VERB
ejpam-3308	210	41	(	(	PUNCT
ejpam-3308	210	42	two	two	NUM
ejpam-3308	210	43	nonblocked	nonblocked	ADJ
ejpam-3308	210	44	lines	line	NOUN
ejpam-3308	210	45	of	of	ADP
ejpam-3308	210	46	2	2	NUM
ejpam-3308	210	47	)	)	PUNCT
ejpam-3308	210	48	.	.	PUNCT
ejpam-3308	211	1	d	d	X
ejpam-3308	211	2	)	)	PUNCT
ejpam-3308	211	3	blocking	block	VERB
ejpam-3308	211	4	an	an	DET
ejpam-3308	211	5	opponent	opponent	NOUN
ejpam-3308	211	6	’s	’s	PART
ejpam-3308	211	7	fork	fork	NOUN
ejpam-3308	211	8	:	:	PUNCT
ejpam-3308	211	9	let	let	AUX
ejpam-3308	211	10	represent	represent	VERB
ejpam-3308	211	11	the	the	DET
ejpam-3308	211	12	zaminamina	zaminamina	PROPN
ejpam-3308	211	13	game	game	PROPN
ejpam-3308	211	14	board	board	PROPN
ejpam-3308	211	15	ri	ri	PROPN
ejpam-3308	211	16	by	by	ADP
ejpam-3308	211	17	i’th	i’th	PROPN
ejpam-3308	211	18	row	row	NOUN
ejpam-3308	211	19	and	and	CCONJ
ejpam-3308	211	20	cj	cj	NOUN
ejpam-3308	211	21	by	by	ADP
ejpam-3308	211	22	j’th	j’th	PROPN
ejpam-3308	211	23	column	column	NOUN
ejpam-3308	211	24	where	where	SCONJ
ejpam-3308	211	25	i	i	PRON
ejpam-3308	211	26	,	,	PUNCT
ejpam-3308	211	27	j	j	PROPN
ejpam-3308	211	28	belongs	belong	VERB
ejpam-3308	211	29	to	to	ADP
ejpam-3308	211	30	n.	n.	PROPN
ejpam-3308	211	31	thus	thus	ADV
ejpam-3308	211	32	,	,	PUNCT
ejpam-3308	211	33	r1c1	r1c1	VERB
ejpam-3308	211	34	=	=	SYM
ejpam-3308	212	1	1;r1c2	1;r1c2	NUM
ejpam-3308	212	2	=	=	SYM
ejpam-3308	212	3	2;r1c3	2;r1c3	NUM
ejpam-3308	212	4	=	=	PUNCT
ejpam-3308	212	5	3;r2c1	3;r2c1	PUNCT
ejpam-3308	212	6	=	=	SYM
ejpam-3308	213	1	4;r2c2	4;r2c2	NUM
ejpam-3308	214	1	=	=	SYM
ejpam-3308	214	2	5;r2c3	5;r2c3	NUM
ejpam-3308	214	3	=	=	SYM
ejpam-3308	214	4	6;r3c1	6;r3c1	NUM
ejpam-3308	214	5	=	=	SYM
ejpam-3308	215	1	7;r3c2	7;r3c2	VERB
ejpam-3308	215	2	=	=	PUNCT
ejpam-3308	215	3	8;r3c3	8;r3c3	NUM
ejpam-3308	215	4	=	=	NOUN
ejpam-3308	215	5	9	9	NUM
ejpam-3308	215	6	this	this	PRON
ejpam-3308	215	7	is	be	AUX
ejpam-3308	215	8	shown	show	VERB
ejpam-3308	215	9	in	in	ADP
ejpam-3308	215	10	table	table	NOUN
ejpam-3308	215	11	4.1	4.1	NUM
ejpam-3308	215	12	table	table	NOUN
ejpam-3308	215	13	4.1	4.1	NUM
ejpam-3308	215	14	:	:	PUNCT
ejpam-3308	215	15	numeric	numeric	ADJ
ejpam-3308	215	16	representation	representation	NOUN
ejpam-3308	215	17	of	of	ADP
ejpam-3308	215	18	rows	row	NOUN
ejpam-3308	215	19	and	and	CCONJ
ejpam-3308	215	20	columns	column	NOUN
ejpam-3308	215	21	in	in	ADP
ejpam-3308	215	22	zaminamina	zaminamina	PROPN
ejpam-3308	215	23	board	board	PROPN
ejpam-3308	215	24	game	game	NOUN
ejpam-3308	215	25	1	1	NUM
ejpam-3308	215	26	2	2	NUM
ejpam-3308	215	27	3	3	NUM
ejpam-3308	215	28	4	4	NUM
ejpam-3308	215	29	5	5	NUM
ejpam-3308	215	30	6	6	NUM
ejpam-3308	215	31	7	7	NUM
ejpam-3308	215	32	8	8	NUM
ejpam-3308	215	33	9	9	NUM
ejpam-3308	215	34	this	this	DET
ejpam-3308	215	35	strategic	strategic	ADJ
ejpam-3308	215	36	moves	move	NOUN
ejpam-3308	215	37	we	we	PRON
ejpam-3308	215	38	deduced	deduce	VERB
ejpam-3308	215	39	are	be	AUX
ejpam-3308	215	40	as	as	SCONJ
ejpam-3308	215	41	follows	follow	VERB
ejpam-3308	215	42	:	:	PUNCT
ejpam-3308	216	1	4.2.1	4.2.1	NUM
ejpam-3308	216	2	.	.	PUNCT
ejpam-3308	217	1	the	the	DET
ejpam-3308	217	2	draw	draw	NOUN
ejpam-3308	217	3	or	or	CCONJ
ejpam-3308	217	4	tie	tie	VERB
ejpam-3308	217	5	payoffs	payoff	NOUN
ejpam-3308	217	6	.	.	PUNCT
ejpam-3308	218	1	when	when	SCONJ
ejpam-3308	218	2	x	x	PRON
ejpam-3308	218	3	plays	play	VERB
ejpam-3308	218	4	1	1	NUM
ejpam-3308	218	5	as	as	ADP
ejpam-3308	218	6	their	their	PRON
ejpam-3308	218	7	opening	opening	NOUN
ejpam-3308	218	8	move	move	NOUN
ejpam-3308	218	9	,	,	PUNCT
ejpam-3308	218	10	then	then	ADV
ejpam-3308	218	11	o	o	PROPN
ejpam-3308	218	12	should	should	AUX
ejpam-3308	218	13	take	take	VERB
ejpam-3308	218	14	5	5	NUM
ejpam-3308	218	15	.	.	PUNCT
ejpam-3308	219	1	then	then	ADV
ejpam-3308	219	2	x	x	PUNCT
ejpam-3308	219	3	takes	take	VERB
ejpam-3308	219	4	9	9	NUM
ejpam-3308	219	5	(	(	PUNCT
ejpam-3308	219	6	in	in	ADP
ejpam-3308	219	7	this	this	DET
ejpam-3308	219	8	situation	situation	NOUN
ejpam-3308	219	9	,	,	PUNCT
ejpam-3308	219	10	o	o	PROPN
ejpam-3308	219	11	should	should	AUX
ejpam-3308	219	12	not	not	PART
ejpam-3308	219	13	take	take	VERB
ejpam-3308	219	14	3	3	NUM
ejpam-3308	219	15	or	or	CCONJ
ejpam-3308	219	16	7	7	NUM
ejpam-3308	219	17	,	,	PUNCT
ejpam-3308	219	18	o	o	PROPN
ejpam-3308	219	19	should	should	AUX
ejpam-3308	219	20	take	take	VERB
ejpam-3308	219	21	2	2	NUM
ejpam-3308	219	22	,	,	PUNCT
ejpam-3308	219	23	4	4	NUM
ejpam-3308	219	24	,	,	PUNCT
ejpam-3308	219	25	6	6	NUM
ejpam-3308	219	26	or	or	CCONJ
ejpam-3308	219	27	8)	8)	NUM
ejpam-3308	219	28	:	:	PUNCT
ejpam-3308	219	29	this	this	PRON
ejpam-3308	219	30	is	be	AUX
ejpam-3308	219	31	symbolically	symbolically	ADV
ejpam-3308	219	32	represented	represent	VERB
ejpam-3308	219	33	as	as	SCONJ
ejpam-3308	219	34	follows	follow	VERB
ejpam-3308	219	35	;	;	PUNCT
ejpam-3308	219	36	•	•	X
ejpam-3308	219	37	x1→	x1→	X
ejpam-3308	219	38	o5	o5	PROPN
ejpam-3308	219	39	→	→	SYM
ejpam-3308	219	40	x9	x9	PROPN
ejpam-3308	219	41	→	→	SYM
ejpam-3308	219	42	o2	o2	PROPN
ejpam-3308	219	43	→	→	SYM
ejpam-3308	219	44	x8	x8	PROPN
ejpam-3308	219	45	→	→	SYM
ejpam-3308	219	46	o7	o7	PROPN
ejpam-3308	219	47	→	→	SYM
ejpam-3308	219	48	x3	x3	ADJ
ejpam-3308	219	49	→	→	SYM
ejpam-3308	219	50	o6	o6	PROPN
ejpam-3308	219	51	→	→	SYM
ejpam-3308	219	52	x4	x4	PROPN
ejpam-3308	219	53	.	.	PUNCT
ejpam-3308	220	1	this	this	DET
ejpam-3308	220	2	game	game	NOUN
ejpam-3308	220	3	will	will	AUX
ejpam-3308	220	4	end	end	VERB
ejpam-3308	220	5	in	in	ADP
ejpam-3308	220	6	a	a	DET
ejpam-3308	220	7	tie	tie	NOUN
ejpam-3308	220	8	.	.	PUNCT
ejpam-3308	221	1	subsequent	subsequent	ADJ
ejpam-3308	221	2	draw	draw	NOUN
ejpam-3308	221	3	or	or	CCONJ
ejpam-3308	221	4	tie	tie	VERB
ejpam-3308	221	5	payoffs	payoff	NOUN
ejpam-3308	221	6	include	include	VERB
ejpam-3308	221	7	playing	play	VERB
ejpam-3308	221	8	in	in	ADP
ejpam-3308	221	9	the	the	DET
ejpam-3308	221	10	following	follow	VERB
ejpam-3308	221	11	sequential	sequential	ADJ
ejpam-3308	221	12	order	order	NOUN
ejpam-3308	221	13	.	.	PUNCT
ejpam-3308	222	1	•	•	INTJ
ejpam-3308	223	1	x1→	x1→	SYM
ejpam-3308	223	2	o5→	o5→	INTJ
ejpam-3308	223	3	x6→	x6→	NOUN
ejpam-3308	224	1	o2→	o2→	NUM
ejpam-3308	225	1	x8→	x8→	NUM
ejpam-3308	225	2	o7→	o7→	NOUN
ejpam-3308	225	3	x3→	x3→	PUNCT
ejpam-3308	225	4	o9→	o9→	NUM
ejpam-3308	225	5	x4	x4	PROPN
ejpam-3308	225	6	.	.	PUNCT
ejpam-3308	226	1	•	•	INTJ
ejpam-3308	227	1	x1→	x1→	SYM
ejpam-3308	227	2	o5→	o5→	INTJ
ejpam-3308	227	3	x6→	x6→	NOUN
ejpam-3308	228	1	o2→	o2→	NUM
ejpam-3308	228	2	x8→	x8→	NOUN
ejpam-3308	228	3	o9→	o9→	NUM
ejpam-3308	228	4	x4→	x4→	PROPN
ejpam-3308	228	5	o7→	o7→	X
ejpam-3308	228	6	x3	x3	ADJ
ejpam-3308	228	7	.	.	PUNCT
ejpam-3308	229	1	•	•	INTJ
ejpam-3308	230	1	x1→	x1→	SYM
ejpam-3308	230	2	o5→	o5→	X
ejpam-3308	230	3	x6→	x6→	PUNCT
ejpam-3308	231	1	o3→	o3→	X
ejpam-3308	231	2	x7→	x7→	PUNCT
ejpam-3308	232	1	o4→	o4→	ADV
ejpam-3308	232	2	x8→	x8→	INTJ
ejpam-3308	232	3	o9→	o9→	NUM
ejpam-3308	233	1	x2	x2	INTJ
ejpam-3308	233	2	.	.	PUNCT
ejpam-3308	234	1	e.	e.	PROPN
ejpam-3308	234	2	k.	k.	PROPN
ejpam-3308	234	3	donkoh	donkoh	PROPN
ejpam-3308	234	4	et	et	PROPN
ejpam-3308	234	5	al	al	PROPN
ejpam-3308	234	6	.	.	PUNCT
ejpam-3308	234	7	/	/	SYM
ejpam-3308	234	8	eur	eur	PROPN
ejpam-3308	234	9	.	.	PUNCT
ejpam-3308	235	1	j.	j.	PROPN
ejpam-3308	235	2	pure	pure	PROPN
ejpam-3308	235	3	appl	appl	PROPN
ejpam-3308	235	4	.	.	PROPN
ejpam-3308	235	5	math	math	PROPN
ejpam-3308	235	6	,	,	PUNCT
ejpam-3308	235	7	12	12	NUM
ejpam-3308	235	8	(	(	PUNCT
ejpam-3308	235	9	1	1	NUM
ejpam-3308	235	10	)	)	PUNCT
ejpam-3308	235	11	(	(	PUNCT
ejpam-3308	235	12	2019	2019	NUM
ejpam-3308	235	13	)	)	PUNCT
ejpam-3308	235	14	,	,	PUNCT
ejpam-3308	235	15	159	159	NUM
ejpam-3308	235	16	-	-	SYM
ejpam-3308	235	17	175	175	NUM
ejpam-3308	235	18	172	172	NUM
ejpam-3308	235	19	figure	figure	NOUN
ejpam-3308	235	20	5	5	NUM
ejpam-3308	235	21	:	:	PUNCT
ejpam-3308	235	22	sample	sample	NOUN
ejpam-3308	235	23	tie	tie	NOUN
ejpam-3308	235	24	payoffs	payoff	NOUN
ejpam-3308	235	25	in	in	ADP
ejpam-3308	235	26	zaminamina	zaminamina	PROPN
ejpam-3308	235	27	game	game	PROPN
ejpam-3308	235	28	board	board	PROPN
ejpam-3308	235	29	•	•	INTJ
ejpam-3308	236	1	x1→	x1→	INTJ
ejpam-3308	236	2	o5→	o5→	X
ejpam-3308	236	3	x6→	x6→	PUNCT
ejpam-3308	237	1	o3→	o3→	X
ejpam-3308	237	2	x7→	x7→	PUNCT
ejpam-3308	238	1	o4→	o4→	ADV
ejpam-3308	238	2	x9→	x9→	X
ejpam-3308	239	1	o8→	o8→	X
ejpam-3308	239	2	x2	x2	PROPN
ejpam-3308	239	3	.	.	PUNCT
ejpam-3308	240	1	•	•	NUM
ejpam-3308	241	1	x1→	x1→	SYM
ejpam-3308	241	2	o5→	o5→	INTJ
ejpam-3308	242	1	x6→	x6→	NOUN
ejpam-3308	243	1	o8→	o8→	NUM
ejpam-3308	243	2	x2→	x2→	NOUN
ejpam-3308	244	1	o3→	o3→	X
ejpam-3308	244	2	x7→	x7→	PUNCT
ejpam-3308	245	1	o4→	o4→	DET
ejpam-3308	245	2	x9	x9	NOUN
ejpam-3308	245	3	.	.	PUNCT
ejpam-3308	246	1	•	•	NUM
ejpam-3308	247	1	x1→	x1→	SYM
ejpam-3308	247	2	o5→	o5→	X
ejpam-3308	248	1	x6→	x6→	NOUN
ejpam-3308	248	2	o9→	o9→	NUM
ejpam-3308	249	1	x2→	x2→	NOUN
ejpam-3308	250	1	o3→	o3→	X
ejpam-3308	250	2	x7→	x7→	PUNCT
ejpam-3308	251	1	o4→	o4→	ADP
ejpam-3308	251	2	x8	x8	PROPN
ejpam-3308	251	3	.	.	PUNCT
ejpam-3308	252	1	•	•	NUM
ejpam-3308	253	1	x1→	x1→	SYM
ejpam-3308	253	2	o5→	o5→	X
ejpam-3308	253	3	x6→	x6→	NOUN
ejpam-3308	253	4	o9→	o9→	NUM
ejpam-3308	253	5	x3→	x3→	X
ejpam-3308	253	6	o2→	o2→	NUM
ejpam-3308	253	7	x8→	x8→	NOUN
ejpam-3308	253	8	o4→	o4→	ADJ
ejpam-3308	253	9	x7	x7	NOUN
ejpam-3308	253	10	.	.	PUNCT
ejpam-3308	254	1	•	•	INTJ
ejpam-3308	255	1	x1→	x1→	SYM
ejpam-3308	255	2	o5→	o5→	X
ejpam-3308	255	3	x6→	x6→	NOUN
ejpam-3308	255	4	o9→	o9→	NUM
ejpam-3308	255	5	x3→	x3→	X
ejpam-3308	255	6	o2→	o2→	NUM
ejpam-3308	255	7	x8→	x8→	NUM
ejpam-3308	255	8	o7→	o7→	X
ejpam-3308	256	1	x4	x4	PROPN
ejpam-3308	256	2	.	.	PROPN
ejpam-3308	257	1	•	•	INTJ
ejpam-3308	258	1	x1→	x1→	SYM
ejpam-3308	258	2	o5→	o5→	X
ejpam-3308	258	3	x6→	x6→	PROPN
ejpam-3308	258	4	o9→	o9→	NUM
ejpam-3308	259	1	x7→	x7→	NUM
ejpam-3308	260	1	o4→	o4→	ADV
ejpam-3308	260	2	x2→	x2→	NUM
ejpam-3308	261	1	o3→	o3→	PROPN
ejpam-3308	261	2	x8	x8	PROPN
ejpam-3308	261	3	.	.	PUNCT
ejpam-3308	262	1	•	•	NUM
ejpam-3308	263	1	x1→	x1→	SYM
ejpam-3308	263	2	o5→	o5→	X
ejpam-3308	263	3	x6→	x6→	PROPN
ejpam-3308	263	4	o9→	o9→	NUM
ejpam-3308	263	5	x7→	x7→	NUM
ejpam-3308	263	6	o4→	o4→	ADV
ejpam-3308	263	7	x3→	x3→	X
ejpam-3308	263	8	o2→	o2→	NUM
ejpam-3308	263	9	x8	x8	PROPN
ejpam-3308	263	10	.	.	PUNCT
ejpam-3308	264	1	•	•	NUM
ejpam-3308	265	1	x1→	x1→	SYM
ejpam-3308	265	2	o5→	o5→	X
ejpam-3308	265	3	x6→	x6→	PROPN
ejpam-3308	266	1	o9→	o9→	NUM
ejpam-3308	266	2	x7→	x7→	NUM
ejpam-3308	266	3	o4→	o4→	ADV
ejpam-3308	266	4	x2→	x2→	NUM
ejpam-3308	267	1	o3→	o3→	PROPN
ejpam-3308	267	2	x8	x8	PROPN
ejpam-3308	267	3	.	.	PUNCT
ejpam-3308	268	1	•	•	NUM
ejpam-3308	269	1	x1→	x1→	SYM
ejpam-3308	269	2	o5→	o5→	X
ejpam-3308	269	3	x2→	x2→	NOUN
ejpam-3308	270	1	o3→	o3→	X
ejpam-3308	270	2	x7→	x7→	NUM
ejpam-3308	271	1	o4→	o4→	ADV
ejpam-3308	271	2	x6→	x6→	PROPN
ejpam-3308	272	1	o8→	o8→	NUM
ejpam-3308	272	2	x9	x9	PROPN
ejpam-3308	272	3	.	.	PUNCT
ejpam-3308	273	1	•	•	NUM
ejpam-3308	274	1	x1→	x1→	SYM
ejpam-3308	274	2	o5→	o5→	X
ejpam-3308	274	3	x2→	x2→	NOUN
ejpam-3308	275	1	o3→	o3→	X
ejpam-3308	275	2	x7→	x7→	NUM
ejpam-3308	276	1	o4→	o4→	ADV
ejpam-3308	276	2	x6→	x6→	NOUN
ejpam-3308	276	3	o9→	o9→	NUM
ejpam-3308	276	4	x8	x8	PROPN
ejpam-3308	276	5	.	.	PUNCT
ejpam-3308	277	1	•	•	NUM
ejpam-3308	278	1	x1→	x1→	SYM
ejpam-3308	278	2	o5→	o5→	INTJ
ejpam-3308	278	3	x3→	x3→	PROPN
ejpam-3308	279	1	o2→	o2→	NUM
ejpam-3308	279	2	x8→	x8→	NOUN
ejpam-3308	279	3	o4→	o4→	ADV
ejpam-3308	279	4	x6→	x6→	NOUN
ejpam-3308	280	1	o9→	o9→	NUM
ejpam-3308	280	2	x7	x7	NOUN
ejpam-3308	280	3	.	.	PUNCT
ejpam-3308	281	1	•	•	NUM
ejpam-3308	282	1	x1→	x1→	SYM
ejpam-3308	282	2	o5→	o5→	INTJ
ejpam-3308	282	3	x3→	x3→	PROPN
ejpam-3308	282	4	o2→	o2→	NUM
ejpam-3308	282	5	x8→	x8→	NUM
ejpam-3308	282	6	o6→	o6→	X
ejpam-3308	282	7	x4→	x4→	PROPN
ejpam-3308	282	8	o9→	o9→	NUM
ejpam-3308	282	9	x8	x8	PROPN
ejpam-3308	282	10	.	.	PUNCT
ejpam-3308	283	1	in	in	ADP
ejpam-3308	283	2	both	both	PRON
ejpam-3308	283	3	of	of	ADP
ejpam-3308	283	4	these	these	DET
ejpam-3308	283	5	situations	situation	NOUN
ejpam-3308	283	6	(	(	PUNCT
ejpam-3308	283	7	if	if	SCONJ
ejpam-3308	283	8	x	x	PRON
ejpam-3308	283	9	takes	take	VERB
ejpam-3308	283	10	9	9	NUM
ejpam-3308	283	11	or	or	CCONJ
ejpam-3308	283	12	6	6	NUM
ejpam-3308	283	13	as	as	ADP
ejpam-3308	283	14	second	second	ADJ
ejpam-3308	283	15	move	move	NOUN
ejpam-3308	283	16	after	after	ADP
ejpam-3308	283	17	playing	play	VERB
ejpam-3308	283	18	either	either	CCONJ
ejpam-3308	283	19	the	the	DET
ejpam-3308	283	20	center	center	NOUN
ejpam-3308	283	21	or	or	CCONJ
ejpam-3308	283	22	edge	edge	NOUN
ejpam-3308	283	23	)	)	PUNCT
ejpam-3308	283	24	,	,	PUNCT
ejpam-3308	283	25	x	x	PRON
ejpam-3308	283	26	has	have	VERB
ejpam-3308	283	27	a	a	DET
ejpam-3308	283	28	probability	probability	NOUN
ejpam-3308	283	29	of	of	ADP
ejpam-3308	283	30	1/3	1/3	NUM
ejpam-3308	283	31	to	to	PART
ejpam-3308	283	32	win	win	VERB
ejpam-3308	283	33	.	.	PUNCT
ejpam-3308	284	1	if	if	SCONJ
ejpam-3308	284	2	x	x	PRON
ejpam-3308	284	3	is	be	AUX
ejpam-3308	284	4	not	not	PART
ejpam-3308	284	5	a	a	DET
ejpam-3308	284	6	perfect	perfect	ADJ
ejpam-3308	284	7	player	player	NOUN
ejpam-3308	284	8	,	,	PUNCT
ejpam-3308	284	9	x	x	PRON
ejpam-3308	284	10	may	may	AUX
ejpam-3308	284	11	take	take	VERB
ejpam-3308	284	12	2	2	NUM
ejpam-3308	284	13	or	or	CCONJ
ejpam-3308	284	14	3	3	NUM
ejpam-3308	284	15	as	as	ADP
ejpam-3308	284	16	second	second	ADJ
ejpam-3308	284	17	move	move	NOUN
ejpam-3308	284	18	.	.	PUNCT
ejpam-3308	285	1	then	then	ADV
ejpam-3308	285	2	this	this	DET
ejpam-3308	285	3	game	game	NOUN
ejpam-3308	285	4	will	will	AUX
ejpam-3308	285	5	be	be	AUX
ejpam-3308	285	6	a	a	DET
ejpam-3308	285	7	draw	draw	NOUN
ejpam-3308	285	8	,	,	PUNCT
ejpam-3308	285	9	x	x	PRON
ejpam-3308	285	10	can	can	AUX
ejpam-3308	285	11	not	not	PART
ejpam-3308	285	12	win	win	VERB
ejpam-3308	285	13	.	.	PUNCT
ejpam-3308	286	1	e.	e.	PROPN
ejpam-3308	286	2	k.	k.	PROPN
ejpam-3308	286	3	donkoh	donkoh	PROPN
ejpam-3308	286	4	et	et	PROPN
ejpam-3308	286	5	al	al	PROPN
ejpam-3308	286	6	.	.	PUNCT
ejpam-3308	286	7	/	/	SYM
ejpam-3308	286	8	eur	eur	PROPN
ejpam-3308	286	9	.	.	PUNCT
ejpam-3308	287	1	j.	j.	PROPN
ejpam-3308	287	2	pure	pure	PROPN
ejpam-3308	287	3	appl	appl	PROPN
ejpam-3308	287	4	.	.	PROPN
ejpam-3308	287	5	math	math	PROPN
ejpam-3308	287	6	,	,	PUNCT
ejpam-3308	287	7	12	12	NUM
ejpam-3308	287	8	(	(	PUNCT
ejpam-3308	287	9	1	1	NUM
ejpam-3308	287	10	)	)	PUNCT
ejpam-3308	287	11	(	(	PUNCT
ejpam-3308	287	12	2019	2019	NUM
ejpam-3308	287	13	)	)	PUNCT
ejpam-3308	287	14	,	,	PUNCT
ejpam-3308	287	15	159	159	NUM
ejpam-3308	287	16	-	-	SYM
ejpam-3308	287	17	175	175	NUM
ejpam-3308	287	18	173	173	NUM
ejpam-3308	287	19	4.2.2	4.2.2	NUM
ejpam-3308	287	20	.	.	PUNCT
ejpam-3308	288	1	win	win	VERB
ejpam-3308	288	2	payoffs	payoff	NOUN
ejpam-3308	288	3	for	for	ADP
ejpam-3308	288	4	x	x	PUNCT
ejpam-3308	288	5	and	and	CCONJ
ejpam-3308	288	6	vice	vice	ADV
ejpam-3308	288	7	versa	versa	ADV
ejpam-3308	288	8	.	.	PUNCT
ejpam-3308	289	1	if	if	SCONJ
ejpam-3308	289	2	x	x	PRON
ejpam-3308	289	3	plays	play	VERB
ejpam-3308	289	4	1	1	NUM
ejpam-3308	289	5	opening	opening	NOUN
ejpam-3308	289	6	move	move	NOUN
ejpam-3308	289	7	,	,	PUNCT
ejpam-3308	289	8	and	and	CCONJ
ejpam-3308	289	9	o	o	NOUN
ejpam-3308	289	10	is	be	AUX
ejpam-3308	289	11	not	not	PART
ejpam-3308	289	12	a	a	DET
ejpam-3308	289	13	perfect	perfect	ADJ
ejpam-3308	289	14	player	player	NOUN
ejpam-3308	289	15	,	,	PUNCT
ejpam-3308	289	16	the	the	DET
ejpam-3308	289	17	following	following	NOUN
ejpam-3308	289	18	may	may	AUX
ejpam-3308	289	19	happen	happen	VERB
ejpam-3308	289	20	.	.	PUNCT
ejpam-3308	290	1	although	although	SCONJ
ejpam-3308	290	2	o	o	NOUN
ejpam-3308	290	3	takes	take	VERB
ejpam-3308	290	4	the	the	DET
ejpam-3308	290	5	only	only	ADJ
ejpam-3308	290	6	good	good	ADJ
ejpam-3308	290	7	position	position	NOUN
ejpam-3308	290	8	(	(	PUNCT
ejpam-3308	290	9	5	5	NUM
ejpam-3308	290	10	)	)	PUNCT
ejpam-3308	290	11	as	as	ADP
ejpam-3308	290	12	first	first	ADJ
ejpam-3308	290	13	move	move	NOUN
ejpam-3308	290	14	,	,	PUNCT
ejpam-3308	290	15	but	but	CCONJ
ejpam-3308	290	16	o	o	NOUN
ejpam-3308	290	17	takes	take	VERB
ejpam-3308	290	18	a	a	DET
ejpam-3308	290	19	bad	bad	ADJ
ejpam-3308	290	20	position	position	NOUN
ejpam-3308	290	21	as	as	ADP
ejpam-3308	290	22	second	second	ADJ
ejpam-3308	290	23	move	move	NOUN
ejpam-3308	290	24	which	which	PRON
ejpam-3308	290	25	is	be	AUX
ejpam-3308	290	26	represented	represent	VERB
ejpam-3308	290	27	by	by	ADP
ejpam-3308	290	28	;	;	PUNCT
ejpam-3308	290	29	figure	figure	VERB
ejpam-3308	290	30	6	6	NUM
ejpam-3308	290	31	:	:	PUNCT
ejpam-3308	290	32	win	win	VERB
ejpam-3308	290	33	payoffs	payoff	NOUN
ejpam-3308	290	34	for	for	ADP
ejpam-3308	290	35	x	x	PUNCT
ejpam-3308	290	36	in	in	ADP
ejpam-3308	290	37	zaminamina	zaminamina	PROPN
ejpam-3308	290	38	game	game	PROPN
ejpam-3308	290	39	board	board	PROPN
ejpam-3308	290	40	•	•	INTJ
ejpam-3308	290	41	x1→	x1→	SYM
ejpam-3308	290	42	o5→	o5→	X
ejpam-3308	290	43	x9→	x9→	X
ejpam-3308	291	1	o3→	o3→	NUM
ejpam-3308	291	2	x7	x7	NOUN
ejpam-3308	291	3	,	,	PUNCT
ejpam-3308	291	4	then	then	ADV
ejpam-3308	291	5	x	x	PRON
ejpam-3308	291	6	can	can	AUX
ejpam-3308	291	7	take	take	VERB
ejpam-3308	291	8	4	4	NUM
ejpam-3308	291	9	or	or	CCONJ
ejpam-3308	291	10	8	8	NUM
ejpam-3308	291	11	to	to	PART
ejpam-3308	291	12	win	win	VERB
ejpam-3308	291	13	.	.	PUNCT
ejpam-3308	292	1	•	•	INTJ
ejpam-3308	293	1	x1→	x1→	SYM
ejpam-3308	293	2	o5→	o5→	X
ejpam-3308	293	3	x6→	x6→	X
ejpam-3308	294	1	o4→	o4→	ADV
ejpam-3308	294	2	x3	x3	ADJ
ejpam-3308	294	3	,	,	PUNCT
ejpam-3308	294	4	then	then	ADV
ejpam-3308	294	5	x	x	PRON
ejpam-3308	294	6	can	can	AUX
ejpam-3308	294	7	take	take	VERB
ejpam-3308	294	8	2	2	NUM
ejpam-3308	294	9	or	or	CCONJ
ejpam-3308	294	10	9	9	NUM
ejpam-3308	294	11	to	to	PART
ejpam-3308	294	12	win	win	VERB
ejpam-3308	294	13	.	.	PUNCT
ejpam-3308	295	1	•	•	NUM
ejpam-3308	296	1	x1→	x1→	SYM
ejpam-3308	296	2	o5→	o5→	X
ejpam-3308	296	3	x6→	x6→	NOUN
ejpam-3308	296	4	o7→	o7→	X
ejpam-3308	296	5	x3	x3	ADJ
ejpam-3308	296	6	,	,	PUNCT
ejpam-3308	296	7	then	then	ADV
ejpam-3308	296	8	x	x	PRON
ejpam-3308	296	9	can	can	AUX
ejpam-3308	296	10	take	take	VERB
ejpam-3308	296	11	2	2	NUM
ejpam-3308	296	12	or	or	CCONJ
ejpam-3308	296	13	9	9	NUM
ejpam-3308	296	14	to	to	PART
ejpam-3308	296	15	win	win	VERB
ejpam-3308	296	16	.	.	PUNCT
ejpam-3308	297	1	although	although	SCONJ
ejpam-3308	297	2	o	o	NOUN
ejpam-3308	297	3	takes	take	VERB
ejpam-3308	297	4	good	good	ADJ
ejpam-3308	297	5	positions	position	NOUN
ejpam-3308	297	6	as	as	ADP
ejpam-3308	297	7	the	the	DET
ejpam-3308	297	8	first	first	ADJ
ejpam-3308	297	9	two	two	NUM
ejpam-3308	297	10	moves	move	NOUN
ejpam-3308	297	11	,	,	PUNCT
ejpam-3308	297	12	but	but	CCONJ
ejpam-3308	297	13	o	o	NOUN
ejpam-3308	297	14	takes	take	VERB
ejpam-3308	297	15	a	a	DET
ejpam-3308	297	16	bad	bad	ADJ
ejpam-3308	297	17	position	position	NOUN
ejpam-3308	297	18	as	as	ADP
ejpam-3308	297	19	third	third	ADJ
ejpam-3308	297	20	move	move	NOUN
ejpam-3308	297	21	:	:	PUNCT
ejpam-3308	298	1	•	•	NOUN
ejpam-3308	298	2	x1→	x1→	SYM
ejpam-3308	298	3	o5→	o5→	INTJ
ejpam-3308	299	1	x6→	x6→	NOUN
ejpam-3308	300	1	o2→	o2→	NUM
ejpam-3308	300	2	x8→	x8→	NOUN
ejpam-3308	301	1	o3→	o3→	PRON
ejpam-3308	301	2	x7	x7	NOUN
ejpam-3308	301	3	,	,	PUNCT
ejpam-3308	301	4	then	then	ADV
ejpam-3308	301	5	x	x	PRON
ejpam-3308	301	6	can	can	AUX
ejpam-3308	301	7	take	take	VERB
ejpam-3308	301	8	4	4	NUM
ejpam-3308	301	9	or	or	CCONJ
ejpam-3308	301	10	9	9	NUM
ejpam-3308	301	11	to	to	PART
ejpam-3308	301	12	win	win	VERB
ejpam-3308	301	13	.	.	PUNCT
ejpam-3308	302	1	•	•	INTJ
ejpam-3308	303	1	x1→	x1→	SYM
ejpam-3308	303	2	o5→	o5→	INTJ
ejpam-3308	303	3	x6→	x6→	NOUN
ejpam-3308	304	1	o2→	o2→	NUM
ejpam-3308	304	2	x8→	x8→	X
ejpam-3308	304	3	o4→	o4→	PRON
ejpam-3308	304	4	x9	x9	NOUN
ejpam-3308	304	5	,	,	PUNCT
ejpam-3308	304	6	then	then	ADV
ejpam-3308	304	7	x	x	PRON
ejpam-3308	304	8	can	can	AUX
ejpam-3308	304	9	take	take	VERB
ejpam-3308	304	10	3	3	NUM
ejpam-3308	304	11	or	or	CCONJ
ejpam-3308	304	12	7	7	NUM
ejpam-3308	304	13	to	to	PART
ejpam-3308	304	14	win	win	VERB
ejpam-3308	304	15	.	.	PUNCT
ejpam-3308	305	1	o	o	NOUN
ejpam-3308	305	2	takes	take	VERB
ejpam-3308	305	3	a	a	DET
ejpam-3308	305	4	bad	bad	ADJ
ejpam-3308	305	5	position	position	NOUN
ejpam-3308	305	6	as	as	ADP
ejpam-3308	305	7	first	first	ADJ
ejpam-3308	305	8	move	move	NOUN
ejpam-3308	305	9	(	(	PUNCT
ejpam-3308	305	10	except	except	SCONJ
ejpam-3308	305	11	of	of	ADP
ejpam-3308	305	12	5	5	NUM
ejpam-3308	305	13	,	,	PUNCT
ejpam-3308	305	14	all	all	DET
ejpam-3308	305	15	other	other	ADJ
ejpam-3308	305	16	positions	position	NOUN
ejpam-3308	305	17	are	be	AUX
ejpam-3308	305	18	bad	bad	ADJ
ejpam-3308	305	19	)	)	PUNCT
ejpam-3308	306	1	this	this	PRON
ejpam-3308	306	2	is	be	AUX
ejpam-3308	306	3	what	what	PRON
ejpam-3308	306	4	will	will	AUX
ejpam-3308	306	5	happen	happen	VERB
ejpam-3308	306	6	:	:	PUNCT
ejpam-3308	306	7	•	•	ADP
ejpam-3308	306	8	x1→	x1→	X
ejpam-3308	306	9	o3→	o3→	X
ejpam-3308	306	10	x7→	x7→	X
ejpam-3308	307	1	o4→	o4→	ADV
ejpam-3308	307	2	x9,then	x9,then	NOUN
ejpam-3308	307	3	x	x	X
ejpam-3308	307	4	can	can	AUX
ejpam-3308	307	5	take	take	VERB
ejpam-3308	307	6	5	5	NUM
ejpam-3308	307	7	or	or	CCONJ
ejpam-3308	307	8	8	8	NUM
ejpam-3308	307	9	to	to	PART
ejpam-3308	307	10	win	win	VERB
ejpam-3308	307	11	.	.	PUNCT
ejpam-3308	308	1	•	•	INTJ
ejpam-3308	309	1	x1→	x1→	X
ejpam-3308	309	2	o9→	o9→	NUM
ejpam-3308	309	3	x3→	x3→	X
ejpam-3308	309	4	o2→	o2→	NUM
ejpam-3308	309	5	x7	x7	NOUN
ejpam-3308	309	6	,	,	PUNCT
ejpam-3308	309	7	then	then	ADV
ejpam-3308	309	8	x	x	PRON
ejpam-3308	309	9	can	can	AUX
ejpam-3308	309	10	take	take	VERB
ejpam-3308	309	11	4	4	NUM
ejpam-3308	309	12	or	or	CCONJ
ejpam-3308	309	13	5	5	NUM
ejpam-3308	309	14	to	to	PART
ejpam-3308	309	15	win	win	VERB
ejpam-3308	309	16	.	.	PUNCT
ejpam-3308	310	1	•	•	NUM
ejpam-3308	311	1	x1→	x1→	PRON
ejpam-3308	312	1	o2→	o2→	X
ejpam-3308	312	2	x5→	x5→	NUM
ejpam-3308	312	3	o9→	o9→	NUM
ejpam-3308	312	4	x7	x7	NOUN
ejpam-3308	312	5	,	,	PUNCT
ejpam-3308	312	6	then	then	ADV
ejpam-3308	312	7	x	x	PRON
ejpam-3308	312	8	can	can	AUX
ejpam-3308	312	9	take	take	VERB
ejpam-3308	312	10	3	3	NUM
ejpam-3308	312	11	or	or	CCONJ
ejpam-3308	312	12	4	4	NUM
ejpam-3308	312	13	to	to	PART
ejpam-3308	312	14	win	win	VERB
ejpam-3308	312	15	.	.	PUNCT
ejpam-3308	313	1	•	•	NUM
ejpam-3308	314	1	x1→	x1→	X
ejpam-3308	314	2	o6→	o6→	X
ejpam-3308	314	3	x5→	x5→	X
ejpam-3308	314	4	o9→	o9→	NUM
ejpam-3308	314	5	x3	x3	ADJ
ejpam-3308	314	6	,	,	PUNCT
ejpam-3308	314	7	then	then	ADV
ejpam-3308	314	8	x	x	PRON
ejpam-3308	314	9	can	can	AUX
ejpam-3308	314	10	take	take	VERB
ejpam-3308	314	11	2	2	NUM
ejpam-3308	314	12	or	or	CCONJ
ejpam-3308	314	13	7	7	NUM
ejpam-3308	314	14	to	to	PART
ejpam-3308	314	15	win	win	VERB
ejpam-3308	314	16	.	.	PUNCT
ejpam-3308	315	1	references	reference	NOUN
ejpam-3308	315	2	174	174	NUM
ejpam-3308	315	3	5	5	NUM
ejpam-3308	315	4	.	.	PUNCT
ejpam-3308	315	5	findings	finding	VERB
ejpam-3308	315	6	the	the	DET
ejpam-3308	315	7	output	output	NOUN
ejpam-3308	315	8	above	above	ADV
ejpam-3308	315	9	indicates	indicate	VERB
ejpam-3308	315	10	that	that	SCONJ
ejpam-3308	315	11	there	there	PRON
ejpam-3308	315	12	is	be	VERB
ejpam-3308	315	13	always	always	ADV
ejpam-3308	315	14	a	a	DET
ejpam-3308	315	15	probability	probability	NOUN
ejpam-3308	315	16	of	of	ADP
ejpam-3308	315	17	a	a	DET
ejpam-3308	315	18	player	player	NOUN
ejpam-3308	315	19	winning	win	VERB
ejpam-3308	315	20	as	as	ADP
ejpam-3308	315	21	a	a	DET
ejpam-3308	315	22	result	result	NOUN
ejpam-3308	315	23	of	of	ADP
ejpam-3308	315	24	playing	play	VERB
ejpam-3308	315	25	a	a	DET
ejpam-3308	315	26	fair	fair	ADJ
ejpam-3308	315	27	game	game	NOUN
ejpam-3308	315	28	or	or	CCONJ
ejpam-3308	315	29	a	a	DET
ejpam-3308	315	30	game	game	NOUN
ejpam-3308	315	31	of	of	ADP
ejpam-3308	315	32	no	no	DET
ejpam-3308	315	33	mistakes	mistake	NOUN
ejpam-3308	315	34	by	by	ADP
ejpam-3308	315	35	taking	take	VERB
ejpam-3308	315	36	a	a	DET
ejpam-3308	315	37	turn	turn	NOUN
ejpam-3308	315	38	in	in	ADP
ejpam-3308	315	39	either	either	CCONJ
ejpam-3308	315	40	the	the	DET
ejpam-3308	315	41	center	center	NOUN
ejpam-3308	315	42	starting	starting	NOUN
ejpam-3308	315	43	and	and	CCONJ
ejpam-3308	315	44	edge	edge	NOUN
ejpam-3308	315	45	or	or	CCONJ
ejpam-3308	315	46	vertex	vertex	NOUN
ejpam-3308	315	47	starting	start	VERB
ejpam-3308	315	48	without	without	ADP
ejpam-3308	315	49	a	a	DET
ejpam-3308	315	50	block	block	NOUN
ejpam-3308	315	51	from	from	ADP
ejpam-3308	315	52	the	the	DET
ejpam-3308	315	53	other	other	ADJ
ejpam-3308	315	54	player	player	NOUN
ejpam-3308	315	55	.	.	PUNCT
ejpam-3308	316	1	in	in	ADP
ejpam-3308	316	2	the	the	DET
ejpam-3308	316	3	situation	situation	NOUN
ejpam-3308	316	4	whereby	whereby	SCONJ
ejpam-3308	316	5	the	the	DET
ejpam-3308	316	6	player	player	NOUN
ejpam-3308	316	7	is	be	AUX
ejpam-3308	316	8	blocked	block	VERB
ejpam-3308	316	9	from	from	ADP
ejpam-3308	316	10	winning	win	VERB
ejpam-3308	316	11	either	either	CCONJ
ejpam-3308	316	12	from	from	ADP
ejpam-3308	316	13	the	the	DET
ejpam-3308	316	14	center	center	NOUN
ejpam-3308	316	15	starting	starting	NOUN
ejpam-3308	316	16	and	and	CCONJ
ejpam-3308	316	17	edge	edge	NOUN
ejpam-3308	316	18	or	or	CCONJ
ejpam-3308	316	19	vertex	vertex	NOUN
ejpam-3308	316	20	starting	starting	NOUN
ejpam-3308	316	21	,	,	PUNCT
ejpam-3308	316	22	the	the	DET
ejpam-3308	316	23	game	game	NOUN
ejpam-3308	316	24	then	then	ADV
ejpam-3308	316	25	ends	end	VERB
ejpam-3308	316	26	in	in	ADP
ejpam-3308	316	27	a	a	DET
ejpam-3308	316	28	tie	tie	NOUN
ejpam-3308	316	29	which	which	PRON
ejpam-3308	316	30	is	be	AUX
ejpam-3308	316	31	called	call	VERB
ejpam-3308	316	32	a	a	DET
ejpam-3308	316	33	mixed	mixed	ADJ
ejpam-3308	316	34	strategy	strategy	NOUN
ejpam-3308	316	35	for	for	ADP
ejpam-3308	316	36	both	both	DET
ejpam-3308	316	37	players	player	NOUN
ejpam-3308	316	38	.	.	PUNCT
ejpam-3308	317	1	again	again	ADV
ejpam-3308	317	2	,	,	PUNCT
ejpam-3308	317	3	a	a	DET
ejpam-3308	317	4	win	win	NOUN
ejpam-3308	317	5	is	be	AUX
ejpam-3308	317	6	always	always	ADV
ejpam-3308	317	7	determined	determine	VERB
ejpam-3308	317	8	by	by	ADP
ejpam-3308	317	9	who	who	PRON
ejpam-3308	317	10	moves	move	VERB
ejpam-3308	317	11	last	last	ADV
ejpam-3308	317	12	.	.	PUNCT
ejpam-3308	318	1	lastly	lastly	ADV
ejpam-3308	318	2	,	,	PUNCT
ejpam-3308	318	3	when	when	SCONJ
ejpam-3308	318	4	a	a	DET
ejpam-3308	318	5	player	player	NOUN
ejpam-3308	318	6	plays	play	VERB
ejpam-3308	318	7	a	a	DET
ejpam-3308	318	8	fork	fork	NOUN
ejpam-3308	318	9	,	,	PUNCT
ejpam-3308	318	10	the	the	DET
ejpam-3308	318	11	opponent	opponent	NOUN
ejpam-3308	318	12	have	have	VERB
ejpam-3308	318	13	to	to	PART
ejpam-3308	318	14	use	use	VERB
ejpam-3308	318	15	the	the	DET
ejpam-3308	318	16	mixed	mixed	ADJ
ejpam-3308	318	17	strategy	strategy	NOUN
ejpam-3308	318	18	move	move	NOUN
ejpam-3308	318	19	to	to	PART
ejpam-3308	318	20	defend	defend	VERB
ejpam-3308	318	21	or	or	CCONJ
ejpam-3308	318	22	else	else	ADV
ejpam-3308	318	23	the	the	DET
ejpam-3308	318	24	player	player	NOUN
ejpam-3308	318	25	who	who	PRON
ejpam-3308	318	26	played	play	VERB
ejpam-3308	318	27	the	the	DET
ejpam-3308	318	28	fork	fork	NOUN
ejpam-3308	318	29	wins	win	VERB
ejpam-3308	318	30	.	.	PUNCT
ejpam-3308	319	1	6	6	X
ejpam-3308	319	2	.	.	X
ejpam-3308	319	3	conclusion	conclusion	NOUN
ejpam-3308	319	4	this	this	DET
ejpam-3308	319	5	paper	paper	NOUN
ejpam-3308	319	6	aims	aim	VERB
ejpam-3308	319	7	at	at	ADP
ejpam-3308	319	8	deducing	deduce	VERB
ejpam-3308	319	9	an	an	DET
ejpam-3308	319	10	intelligent	intelligent	ADJ
ejpam-3308	319	11	mathematical	mathematical	ADJ
ejpam-3308	319	12	technique	technique	NOUN
ejpam-3308	319	13	for	for	ADP
ejpam-3308	319	14	playing	play	VERB
ejpam-3308	319	15	a	a	DET
ejpam-3308	319	16	winning	win	VERB
ejpam-3308	319	17	game	game	NOUN
ejpam-3308	319	18	in	in	ADP
ejpam-3308	319	19	zaminamina	zaminamina	PROPN
ejpam-3308	319	20	draft	draft	NOUN
ejpam-3308	319	21	using	use	VERB
ejpam-3308	319	22	two	two	NUM
ejpam-3308	319	23	different	different	ADJ
ejpam-3308	319	24	starting	starting	NOUN
ejpam-3308	319	25	strategies	strategy	NOUN
ejpam-3308	319	26	:	:	PUNCT
ejpam-3308	319	27	centre	centre	NOUN
ejpam-3308	319	28	starting	starting	NOUN
ejpam-3308	319	29	and	and	CCONJ
ejpam-3308	319	30	edge	edge	NOUN
ejpam-3308	319	31	or	or	CCONJ
ejpam-3308	319	32	vertex	vertex	NOUN
ejpam-3308	319	33	starting	starting	NOUN
ejpam-3308	319	34	.	.	PUNCT
ejpam-3308	320	1	also	also	ADV
ejpam-3308	320	2	,	,	PUNCT
ejpam-3308	320	3	to	to	PART
ejpam-3308	320	4	distort	distort	VERB
ejpam-3308	320	5	the	the	DET
ejpam-3308	320	6	results	result	NOUN
ejpam-3308	320	7	into	into	ADP
ejpam-3308	320	8	a	a	DET
ejpam-3308	320	9	3x3	3x3	NUM
ejpam-3308	320	10	matrix	matrix	NOUN
ejpam-3308	320	11	and	and	CCONJ
ejpam-3308	320	12	perform	perform	VERB
ejpam-3308	320	13	an	an	DET
ejpam-3308	320	14	elementary	elementary	ADJ
ejpam-3308	320	15	row	row	NOUN
ejpam-3308	320	16	operation	operation	NOUN
ejpam-3308	320	17	on	on	ADP
ejpam-3308	320	18	the	the	DET
ejpam-3308	320	19	results	result	NOUN
ejpam-3308	320	20	to	to	PART
ejpam-3308	320	21	establish	establish	VERB
ejpam-3308	320	22	all	all	DET
ejpam-3308	320	23	possible	possible	ADJ
ejpam-3308	320	24	wins	win	NOUN
ejpam-3308	320	25	.	.	PUNCT
ejpam-3308	321	1	during	during	ADP
ejpam-3308	321	2	the	the	DET
ejpam-3308	321	3	study	study	NOUN
ejpam-3308	321	4	,	,	PUNCT
ejpam-3308	321	5	the	the	DET
ejpam-3308	321	6	3x3	3x3	NUM
ejpam-3308	321	7	square	square	ADJ
ejpam-3308	321	8	matrix	matrix	NOUN
ejpam-3308	321	9	was	be	AUX
ejpam-3308	321	10	distorted	distort	VERB
ejpam-3308	321	11	and	and	CCONJ
ejpam-3308	321	12	matlab	matlab	PROPN
ejpam-3308	321	13	was	be	AUX
ejpam-3308	321	14	used	use	VERB
ejpam-3308	321	15	to	to	PART
ejpam-3308	321	16	distort	distort	VERB
ejpam-3308	321	17	the	the	DET
ejpam-3308	321	18	matrix	matrix	NOUN
ejpam-3308	321	19	to	to	PART
ejpam-3308	321	20	establish	establish	VERB
ejpam-3308	321	21	all	all	DET
ejpam-3308	321	22	the	the	DET
ejpam-3308	321	23	possible	possible	ADJ
ejpam-3308	321	24	wins	win	NOUN
ejpam-3308	321	25	.	.	PUNCT
ejpam-3308	322	1	the	the	DET
ejpam-3308	322	2	game	game	NOUN
ejpam-3308	322	3	was	be	AUX
ejpam-3308	322	4	then	then	ADV
ejpam-3308	322	5	designed	design	VERB
ejpam-3308	322	6	using	use	VERB
ejpam-3308	322	7	python	python	NOUN
ejpam-3308	322	8	programming	programming	NOUN
ejpam-3308	322	9	language	language	NOUN
ejpam-3308	322	10	.	.	PUNCT
ejpam-3308	323	1	machine	machine	NOUN
ejpam-3308	323	2	learning	learning	NOUN
ejpam-3308	323	3	was	be	AUX
ejpam-3308	323	4	incorporated	incorporate	VERB
ejpam-3308	323	5	to	to	PART
ejpam-3308	323	6	check	check	VERB
ejpam-3308	323	7	when	when	SCONJ
ejpam-3308	323	8	there	there	PRON
ejpam-3308	323	9	is	be	VERB
ejpam-3308	323	10	a	a	DET
ejpam-3308	323	11	position	position	NOUN
ejpam-3308	323	12	filled	fill	VERB
ejpam-3308	323	13	so	so	SCONJ
ejpam-3308	323	14	as	as	SCONJ
ejpam-3308	323	15	to	to	PART
ejpam-3308	323	16	prevent	prevent	VERB
ejpam-3308	323	17	double	double	ADJ
ejpam-3308	323	18	play	play	NOUN
ejpam-3308	323	19	on	on	ADP
ejpam-3308	323	20	a	a	DET
ejpam-3308	323	21	single	single	ADJ
ejpam-3308	323	22	position	position	NOUN
ejpam-3308	323	23	.	.	PUNCT
ejpam-3308	324	1	the	the	DET
ejpam-3308	324	2	game	game	NOUN
ejpam-3308	324	3	gives	give	VERB
ejpam-3308	324	4	a	a	DET
ejpam-3308	324	5	user	user	NOUN
ejpam-3308	324	6	friendly	friendly	ADJ
ejpam-3308	324	7	environment	environment	NOUN
ejpam-3308	324	8	which	which	PRON
ejpam-3308	324	9	will	will	AUX
ejpam-3308	324	10	help	help	VERB
ejpam-3308	324	11	anyone	anyone	PRON
ejpam-3308	324	12	who	who	PRON
ejpam-3308	324	13	wants	want	VERB
ejpam-3308	324	14	to	to	PART
ejpam-3308	324	15	play	play	VERB
ejpam-3308	324	16	the	the	DET
ejpam-3308	324	17	game	game	NOUN
ejpam-3308	324	18	on	on	ADP
ejpam-3308	324	19	his	his	PRON
ejpam-3308	324	20	computer	computer	NOUN
ejpam-3308	324	21	to	to	PART
ejpam-3308	324	22	play	play	VERB
ejpam-3308	324	23	it	it	PRON
ejpam-3308	324	24	without	without	ADP
ejpam-3308	324	25	stress.on	stress.on	DET
ejpam-3308	324	26	the	the	DET
ejpam-3308	324	27	basis	basis	NOUN
ejpam-3308	324	28	of	of	ADP
ejpam-3308	324	29	the	the	DET
ejpam-3308	324	30	findings	finding	NOUN
ejpam-3308	324	31	we	we	PRON
ejpam-3308	324	32	recommend	recommend	VERB
ejpam-3308	324	33	that	that	SCONJ
ejpam-3308	324	34	:	:	PUNCT
ejpam-3308	324	35	a	a	X
ejpam-3308	324	36	)	)	PUNCT
ejpam-3308	324	37	the	the	DET
ejpam-3308	324	38	strategies	strategy	NOUN
ejpam-3308	324	39	deduced	deduce	VERB
ejpam-3308	324	40	in	in	ADP
ejpam-3308	324	41	this	this	DET
ejpam-3308	324	42	paper	paper	NOUN
ejpam-3308	324	43	only	only	ADV
ejpam-3308	324	44	should	should	AUX
ejpam-3308	324	45	be	be	AUX
ejpam-3308	324	46	used	use	VERB
ejpam-3308	324	47	to	to	PART
ejpam-3308	324	48	achieve	achieve	VERB
ejpam-3308	324	49	a	a	DET
ejpam-3308	324	50	win	win	NOUN
ejpam-3308	324	51	in	in	ADP
ejpam-3308	324	52	the	the	DET
ejpam-3308	324	53	zaminamina	zaminamina	NOUN
ejpam-3308	324	54	draft	draft	NOUN
ejpam-3308	324	55	game	game	NOUN
ejpam-3308	324	56	.	.	PUNCT
ejpam-3308	325	1	b	b	X
ejpam-3308	325	2	)	)	PUNCT
ejpam-3308	325	3	in	in	ADP
ejpam-3308	325	4	order	order	NOUN
ejpam-3308	325	5	to	to	PART
ejpam-3308	325	6	play	play	VERB
ejpam-3308	325	7	this	this	DET
ejpam-3308	325	8	game	game	NOUN
ejpam-3308	325	9	on	on	ADP
ejpam-3308	325	10	your	your	PRON
ejpam-3308	325	11	computer	computer	NOUN
ejpam-3308	325	12	,	,	PUNCT
ejpam-3308	325	13	python	python	PROPN
ejpam-3308	325	14	program	program	NOUN
ejpam-3308	325	15	must	must	AUX
ejpam-3308	325	16	be	be	AUX
ejpam-3308	325	17	installed	instal	VERB
ejpam-3308	325	18	.	.	PUNCT
ejpam-3308	326	1	c	c	X
ejpam-3308	326	2	)	)	PUNCT
ejpam-3308	326	3	all	all	DET
ejpam-3308	326	4	the	the	DET
ejpam-3308	326	5	codes	code	NOUN
ejpam-3308	326	6	for	for	ADP
ejpam-3308	326	7	the	the	DET
ejpam-3308	326	8	game	game	NOUN
ejpam-3308	326	9	must	must	AUX
ejpam-3308	326	10	be	be	AUX
ejpam-3308	326	11	in	in	ADP
ejpam-3308	326	12	your	your	PRON
ejpam-3308	326	13	python	python	NOUN
ejpam-3308	326	14	program	program	NOUN
ejpam-3308	326	15	in	in	ADP
ejpam-3308	326	16	order	order	NOUN
ejpam-3308	326	17	to	to	PART
ejpam-3308	326	18	run	run	VERB
ejpam-3308	326	19	the	the	DET
ejpam-3308	326	20	game	game	NOUN
ejpam-3308	326	21	.	.	PUNCT
ejpam-3308	327	1	d	d	X
ejpam-3308	327	2	)	)	PUNCT
ejpam-3308	327	3	all	all	DET
ejpam-3308	327	4	py	py	ADJ
ejpam-3308	327	5	-	-	PUNCT
ejpam-3308	327	6	game	game	NOUN
ejpam-3308	327	7	packages	package	NOUN
ejpam-3308	327	8	be	be	AUX
ejpam-3308	327	9	installed	instal	VERB
ejpam-3308	327	10	and	and	CCONJ
ejpam-3308	327	11	updated	update	VERB
ejpam-3308	327	12	or	or	CCONJ
ejpam-3308	327	13	pycharm	pycharm	VERB
ejpam-3308	327	14	5.0	5.0	NUM
ejpam-3308	327	15	e	e	NOUN
ejpam-3308	327	16	)	)	PUNCT
ejpam-3308	327	17	windows	window	VERB
ejpam-3308	327	18	7	7	NUM
ejpam-3308	327	19	or	or	CCONJ
ejpam-3308	327	20	higher	high	ADJ
ejpam-3308	327	21	version	version	NOUN
ejpam-3308	327	22	should	should	AUX
ejpam-3308	327	23	be	be	AUX
ejpam-3308	327	24	installed	instal	VERB
ejpam-3308	327	25	on	on	ADP
ejpam-3308	327	26	your	your	PRON
ejpam-3308	327	27	computer	computer	NOUN
ejpam-3308	327	28	.	.	PUNCT
ejpam-3308	328	1	references	reference	NOUN
ejpam-3308	328	2	[	[	X
ejpam-3308	328	3	1	1	X
ejpam-3308	328	4	]	]	PUNCT
ejpam-3308	328	5	the	the	DET
ejpam-3308	328	6	decline	decline	NOUN
ejpam-3308	328	7	of	of	ADP
ejpam-3308	328	8	traditional	traditional	ADJ
ejpam-3308	328	9	games,(2016	games,(2016	NOUN
ejpam-3308	328	10	)	)	PUNCT
ejpam-3308	328	11	.	.	PUNCT
ejpam-3308	329	1	retrieved	retrieve	VERB
ejpam-3308	329	2	from	from	ADP
ejpam-3308	329	3	http://gijonlinenews.com/?p=3086	http://gijonlinenews.com/?p=3086	PROPN
ejpam-3308	329	4	[	[	X
ejpam-3308	329	5	2	2	NUM
ejpam-3308	329	6	]	]	X
ejpam-3308	329	7	zaslavsky	zaslavsky	PROPN
ejpam-3308	329	8	,	,	PUNCT
ejpam-3308	329	9	c.	c.	PROPN
ejpam-3308	329	10	(	(	PUNCT
ejpam-3308	329	11	1982).tic	1982).tic	PROPN
ejpam-3308	329	12	-	-	PUNCT
ejpam-3308	329	13	tac	tac	NOUN
ejpam-3308	329	14	-	-	PUNCT
ejpam-3308	329	15	toe	toe	NOUN
ejpam-3308	329	16	and	and	CCONJ
ejpam-3308	329	17	other	other	ADJ
ejpam-3308	329	18	three	three	NUM
ejpam-3308	329	19	in	in	ADP
ejpam-3308	329	20	(	(	PUNCT
ejpam-3308	329	21	i	i	PRON
ejpam-3308	329	22	row	row	NOUN
ejpam-3308	329	23	games	game	NOUN
ejpam-3308	329	24	from	from	ADP
ejpam-3308	329	25	ancient	ancient	ADJ
ejpam-3308	329	26	egypt	egypt	PROPN
ejpam-3308	329	27	to	to	ADP
ejpam-3308	329	28	the	the	DET
ejpam-3308	329	29	modern	modern	ADJ
ejpam-3308	329	30	computer	computer	NOUN
ejpam-3308	329	31	,	,	PUNCT
ejpam-3308	329	32	new	new	PROPN
ejpam-3308	329	33	york	york	PROPN
ejpam-3308	329	34	:	:	PUNCT
ejpam-3308	329	35	thomas	thomas	PROPN
ejpam-3308	329	36	y.	y.	PROPN
ejpam-3308	329	37	crowell	crowell	PROPN
ejpam-3308	329	38	.	.	PUNCT
ejpam-3308	330	1	[	[	X
ejpam-3308	330	2	3	3	X
ejpam-3308	330	3	]	]	X
ejpam-3308	330	4	japan	japan	PROPN
ejpam-3308	330	5	101.gomoku	101.gomoku	PROPN
ejpam-3308	330	6	japanese	japanese	PROPN
ejpam-3308	330	7	board	board	PROPN
ejpam-3308	330	8	game	game	NOUN
ejpam-3308	330	9	(	(	PUNCT
ejpam-3308	330	10	2014	2014	NUM
ejpam-3308	330	11	)	)	PUNCT
ejpam-3308	330	12	.	.	PUNCT
ejpam-3308	331	1	references	reference	NOUN
ejpam-3308	331	2	175	175	NUM
ejpam-3308	332	1	[	[	X
ejpam-3308	332	2	4	4	NUM
ejpam-3308	332	3	]	]	PUNCT
ejpam-3308	332	4	l.	l.	PROPN
ejpam-3308	332	5	v.	v.	PROPN
ejpam-3308	332	6	allis	allis	PROPN
ejpam-3308	332	7	.	.	PUNCT
ejpam-3308	333	1	(	(	PUNCT
ejpam-3308	333	2	1994	1994	NUM
ejpam-3308	333	3	)	)	PUNCT
ejpam-3308	333	4	.	.	PUNCT
ejpam-3308	334	1	searching	search	VERB
ejpam-3308	334	2	for	for	ADP
ejpam-3308	334	3	solutions	solution	NOUN
ejpam-3308	334	4	in	in	ADP
ejpam-3308	334	5	games	game	NOUN
ejpam-3308	334	6	and	and	CCONJ
ejpam-3308	334	7	artificial	artificial	ADJ
ejpam-3308	334	8	intelligence	intelligence	NOUN
ejpam-3308	334	9	(	(	PUNCT
ejpam-3308	334	10	pdf	pdf	NOUN
ejpam-3308	334	11	)	)	PUNCT
ejpam-3308	334	12	,	,	PUNCT
ejpam-3308	334	13	ph.d	ph.d	PROPN
ejpam-3308	334	14	.	.	PUNCT
ejpam-3308	335	1	thesis	thesis	NOUN
ejpam-3308	335	2	,	,	PUNCT
ejpam-3308	335	3	university	university	NOUN
ejpam-3308	335	4	of	of	ADP
ejpam-3308	335	5	limburg	limburg	PROPN
ejpam-3308	335	6	,	,	PUNCT
ejpam-3308	335	7	the	the	DET
ejpam-3308	335	8	netherlands	netherlands	PROPN
ejpam-3308	335	9	.	.	PUNCT
ejpam-3308	336	1	p.	p.	NOUN
ejpam-3308	336	2	123	123	NUM
ejpam-3308	336	3	,	,	PUNCT
ejpam-3308	336	4	isbn	isbn	ADJ
ejpam-3308	336	5	90900748	90900748	NUM
ejpam-3308	336	6	-	-	SYM
ejpam-3308	336	7	8	8	NUM
ejpam-3308	336	8	-	-	SYM
ejpam-3308	336	9	0	0	NUM
ejpam-3308	337	1	[	[	X
ejpam-3308	337	2	5	5	NUM
ejpam-3308	337	3	]	]	SYM
ejpam-3308	337	4	ferguson	ferguson	PROPN
ejpam-3308	337	5	,	,	PUNCT
ejpam-3308	337	6	thomas	thomas	PROPN
ejpam-3308	337	7	s.	s.	PROPN
ejpam-3308	337	8	(	(	PUNCT
ejpam-3308	337	9	2014	2014	NUM
ejpam-3308	337	10	)	)	PUNCT
ejpam-3308	337	11	.	.	PUNCT
ejpam-3308	338	1	part	part	NOUN
ejpam-3308	339	1	i	i	NOUN
ejpam-3308	339	2	:	:	PUNCT
ejpam-3308	339	3	impartial	impartial	ADJ
ejpam-3308	339	4	combinatorial	combinatorial	ADJ
ejpam-3308	339	5	games	game	NOUN
ejpam-3308	339	6	(	(	PUNCT
ejpam-3308	339	7	pdf	pdf	NOUN
ejpam-3308	339	8	)	)	PUNCT
ejpam-3308	339	9	,	,	PUNCT
ejpam-3308	339	10	game	game	NOUN
ejpam-3308	339	11	theory	theory	NOUN
ejpam-3308	339	12	(	(	PUNCT
ejpam-3308	339	13	2nd	2nd	ADJ
ejpam-3308	339	14	ed	ed	NOUN
ejpam-3308	339	15	.	.	PUNCT
ejpam-3308	339	16	)	)	PUNCT
ejpam-3308	339	17	,	,	PUNCT
ejpam-3308	339	18	mathematics	mathematics	PROPN
ejpam-3308	339	19	department	department	PROPN
ejpam-3308	339	20	,	,	PUNCT
ejpam-3308	339	21	ucla	ucla	NOUN
ejpam-3308	339	22	,	,	PUNCT
ejpam-3308	339	23	p.	p.	NOUN
ejpam-3308	339	24	i-8	i-8	NOUN
ejpam-3308	339	25	.	.	PUNCT
ejpam-3308	340	1	[	[	X
ejpam-3308	340	2	6	6	NUM
ejpam-3308	340	3	]	]	X
ejpam-3308	340	4	orlin	orlin	PROPN
ejpam-3308	340	5	,	,	PUNCT
ejpam-3308	340	6	ben	ben	PROPN
ejpam-3308	340	7	.	.	PROPN
ejpam-3308	340	8	(	(	PUNCT
ejpam-3308	340	9	2013	2013	NUM
ejpam-3308	340	10	)	)	PUNCT
ejpam-3308	340	11	.	.	PUNCT
ejpam-3308	341	1	ultimate	ultimate	ADJ
ejpam-3308	341	2	tic	tic	ADJ
ejpam-3308	341	3	-	-	PUNCT
ejpam-3308	341	4	tac	tac	NOUN
ejpam-3308	341	5	-	-	PUNCT
ejpam-3308	341	6	toe	toe	NOUN
ejpam-3308	341	7	.	.	PUNCT
ejpam-3308	341	8	math	math	NOUN
ejpam-3308	341	9	with	with	ADP
ejpam-3308	341	10	bad	bad	ADJ
ejpam-3308	341	11	drawings	drawing	NOUN
ejpam-3308	341	12	.	.	PUNCT
ejpam-3308	342	1	[	[	X
ejpam-3308	342	2	7	7	NUM
ejpam-3308	342	3	]	]	X
ejpam-3308	342	4	cram	cram	PROPN
ejpam-3308	342	5	,	,	PUNCT
ejpam-3308	342	6	scott	scott	PROPN
ejpam-3308	342	7	.	.	PUNCT
ejpam-3308	343	1	(	(	PUNCT
ejpam-3308	343	2	2016	2016	NUM
ejpam-3308	343	3	)	)	PUNCT
ejpam-3308	343	4	.	.	PUNCT
ejpam-3308	344	1	secrets	secret	NOUN
ejpam-3308	344	2	of	of	ADP
ejpam-3308	344	3	nim	nim	PROPN
ejpam-3308	344	4	(	(	PUNCT
ejpam-3308	344	5	notakto	notakto	PROPN
ejpam-3308	344	6	)	)	PUNCT
ejpam-3308	344	7	.	.	PUNCT
ejpam-3308	345	1	[	[	X
ejpam-3308	345	2	8	8	NUM
ejpam-3308	345	3	]	]	X
ejpam-3308	345	4	michon	michon	PROPN
ejpam-3308	345	5	,	,	PUNCT
ejpam-3308	345	6	john	john	PROPN
ejpam-3308	345	7	a.	a.	PROPN
ejpam-3308	345	8	(	(	PUNCT
ejpam-3308	345	9	1967	1967	NUM
ejpam-3308	345	10	)	)	PUNCT
ejpam-3308	345	11	.	.	PUNCT
ejpam-3308	346	1	the	the	DET
ejpam-3308	346	2	game	game	NOUN
ejpam-3308	346	3	of	of	ADP
ejpam-3308	346	4	jam	jam	NOUN
ejpam-3308	346	5	:	:	PUNCT
ejpam-3308	346	6	an	an	DET
ejpam-3308	346	7	isomorph	isomorph	NOUN
ejpam-3308	346	8	of	of	ADP
ejpam-3308	346	9	tic	tic	ADJ
ejpam-3308	346	10	-	-	PUNCT
ejpam-3308	346	11	tac	tac	NOUN
ejpam-3308	346	12	-	-	NOUN
ejpam-3308	346	13	toe	toe	NOUN
ejpam-3308	346	14	.	.	PUNCT
ejpam-3308	347	1	the	the	DET
ejpam-3308	347	2	american	american	PROPN
ejpam-3308	347	3	journal	journal	PROPN
ejpam-3308	347	4	of	of	ADP
ejpam-3308	347	5	psychology	psychology	NOUN
ejpam-3308	347	6	.	.	PUNCT
ejpam-3308	348	1	vol.80	vol.80	ADJ
ejpam-3308	348	2	,	,	PUNCT
ejpam-3308	348	3	issue	issue	NOUN
ejpam-3308	348	4	1	1	NUM
ejpam-3308	348	5	,	,	PUNCT
ejpam-3308	348	6	:	:	PUNCT
ejpam-3308	348	7	137140	137140	NUM
ejpam-3308	348	8	.	.	PUNCT
ejpam-3308	349	1	doi:10.2307/1420555	doi:10.2307/1420555	NOUN
ejpam-3308	350	1	[	[	X
ejpam-3308	350	2	9	9	NUM
ejpam-3308	350	3	]	]	PUNCT
ejpam-3308	350	4	stephen	stephen	PROPN
ejpam-3308	350	5	oster	oster	PROPN
ejpam-3308	350	6	miller	miller	PROPN
ejpam-3308	350	7	.	.	PUNCT
ejpam-3308	351	1	tic	tic	ADJ
ejpam-3308	351	2	-	-	PUNCT
ejpam-3308	351	3	tac	tac	NOUN
ejpam-3308	351	4	-	-	PUNCT
ejpam-3308	351	5	toe	toe	NOUN
ejpam-3308	351	6	strategy	strategy	NOUN
ejpam-3308	351	7	,	,	PUNCT
ejpam-3308	351	8	retrieved	retrieve	VERB
ejpam-3308	351	9	from	from	ADP
ejpam-3308	351	10	https://blog.ostermiller.org/tic-tac-toe-strategy	https://blog.ostermiller.org/tic-tac-toe-strategy	PROPN
ejpam-3308	352	1	[	[	X
ejpam-3308	352	2	10	10	NUM
ejpam-3308	352	3	]	]	X
ejpam-3308	352	4	cassan	cassan	PROPN
ejpam-3308	352	5	,	,	PUNCT
ejpam-3308	352	6	ferdinand	ferdinand	PROPN
ejpam-3308	352	7	de	de	PROPN
ejpam-3308	352	8	.	.	PROPN
ejpam-3308	352	9	austrian	austrian	PROPN
ejpam-3308	352	10	games	games	PROPN
ejpam-3308	352	11	museum	museum	PROPN
ejpam-3308	352	12	,	,	PUNCT
ejpam-3308	352	13	retrieved	retrieve	VERB
ejpam-3308	352	14	from	from	ADP
ejpam-3308	352	15	www.ludorium.at	www.ludorium.at	PROPN
ejpam-3308	352	16	[	[	PUNCT
ejpam-3308	352	17	11	11	NUM
ejpam-3308	352	18	]	]	X
ejpam-3308	352	19	goff	goff	PROPN
ejpam-3308	352	20	,	,	PUNCT
ejpam-3308	352	21	allen	allen	PROPN
ejpam-3308	352	22	.	.	PUNCT
ejpam-3308	352	23	(	(	PUNCT
ejpam-3308	352	24	2006	2006	NUM
ejpam-3308	352	25	)	)	PUNCT
ejpam-3308	352	26	.	.	PUNCT
ejpam-3308	353	1	quantum	quantum	PROPN
ejpam-3308	353	2	tic	tic	NOUN
ejpam-3308	353	3	-	-	PUNCT
ejpam-3308	353	4	tac	tac	NOUN
ejpam-3308	353	5	-	-	PUNCT
ejpam-3308	353	6	toe	toe	NOUN
ejpam-3308	353	7	:	:	PUNCT
ejpam-3308	353	8	a	a	DET
ejpam-3308	353	9	teaching	teaching	NOUN
ejpam-3308	353	10	metaphor	metaphor	NOUN
ejpam-3308	353	11	for	for	ADP
ejpam-3308	353	12	superposition	superposition	NOUN
ejpam-3308	353	13	in	in	ADP
ejpam-3308	353	14	quantum	quantum	ADJ
ejpam-3308	353	15	mechanics	mechanic	NOUN
ejpam-3308	353	16	,	,	PUNCT
ejpam-3308	353	17	american	american	ADJ
ejpam-3308	353	18	journal	journal	PROPN
ejpam-3308	353	19	of	of	ADP
ejpam-3308	353	20	physics	physics	PROPN
ejpam-3308	353	21	.	.	PUNCT
ejpam-3308	354	1	74	74	NUM
ejpam-3308	354	2	(	(	PUNCT
ejpam-3308	354	3	11	11	NUM
ejpam-3308	354	4	):	):	SYM
ejpam-3308	354	5	962973	962973	NUM
ejpam-3308	354	6	.	.	PUNCT
ejpam-3308	354	7	bibcode:2006amjph	bibcode:2006amjph	NOUN
ejpam-3308	354	8	.	.	PUNCT
ejpam-3308	355	1	74	74	NUM
ejpam-3308	355	2	..	..	SYM
ejpam-3308	355	3	962g.doi:10.1119/1.2213635	962g.doi:10.1119/1.2213635	NUM
ejpam-3308	356	1	[	[	X
ejpam-3308	356	2	12	12	NUM
ejpam-3308	356	3	]	]	PUNCT
ejpam-3308	356	4	aviezri	aviezri	PROPN
ejpam-3308	356	5	s.	s.	PROPN
ejpam-3308	356	6	f.	f.	PROPN
ejpam-3308	356	7	(	(	PUNCT
ejpam-3308	356	8	2009	2009	NUM
ejpam-3308	356	9	)	)	PUNCT
ejpam-3308	356	10	.	.	PUNCT
ejpam-3308	357	1	combinatorial	combinatorial	PROPN
ejpam-3308	357	2	games	game	NOUN
ejpam-3308	357	3	:	:	PUNCT
ejpam-3308	357	4	selected	select	VERB
ejpam-3308	357	5	bibliography	bibliography	NOUN
ejpam-3308	357	6	with	with	ADP
ejpam-3308	357	7	a	a	DET
ejpam-3308	357	8	succinct	succinct	ADJ
ejpam-3308	357	9	gourmet	gourmet	NOUN
ejpam-3308	357	10	introduction	introduction	NOUN
ejpam-3308	357	11	,	,	PUNCT
ejpam-3308	357	12	available	available	ADJ
ejpam-3308	357	13	on	on	ADP
ejpam-3308	357	14	library.msri.org/books/book56/	library.msri.org/books/book56/	PROPN
ejpam-3308	357	15	les/62fraenkel.pdf	les/62fraenkel.pdf	NOUN
ejpam-3308	357	16	[	[	X
ejpam-3308	357	17	13	13	NUM
ejpam-3308	357	18	]	]	X
ejpam-3308	357	19	r.j	r.j	PROPN
ejpam-3308	357	20	.	.	PROPN
ejpam-3308	357	21	nowakowski	nowakowski	PROPN
ejpam-3308	357	22	,	,	PUNCT
ejpam-3308	357	23	welter	welter	PROPN
ejpam-3308	357	24	’s	’s	PART
ejpam-3308	357	25	game	game	NOUN
ejpam-3308	357	26	,	,	PUNCT
ejpam-3308	357	27	sylver	sylver	PROPN
ejpam-3308	357	28	coinage	coinage	NOUN
ejpam-3308	357	29	.	.	PUNCT
ejpam-3308	358	1	(	(	PUNCT
ejpam-3308	358	2	1996).dots	1996).dots	NUM
ejpam-3308	358	3	-	-	PUNCT
ejpam-3308	358	4	and	and	CCONJ
ejpam-3308	358	5	-	-	PUNCT
ejpam-3308	358	6	boxes	box	NOUN
ejpam-3308	358	7	,	,	PUNCT
ejpam-3308	358	8	in	in	ADP
ejpam-3308	358	9	:	:	PUNCT
ejpam-3308	358	10	r.k	r.k	PROPN
ejpam-3308	358	11	.	.	PROPN
ejpam-3308	358	12	guy	guy	NOUN
ejpam-3308	358	13	(	(	PUNCT
ejpam-3308	358	14	ed.).combinatorial	ed.).combinatorial	PROPN
ejpam-3308	358	15	games	game	NOUN
ejpam-3308	358	16	,	,	PUNCT
ejpam-3308	358	17	proc	proc	NOUN
ejpam-3308	358	18	.	.	PUNCT
ejpam-3308	359	1	symp	symp	PROPN
ejpam-3308	359	2	.	.	PUNCT
ejpam-3308	360	1	appl	appl	PROPN
ejpam-3308	360	2	.	.	PROPN
ejpam-3308	360	3	math	math	PROPN
ejpam-3308	360	4	.	.	PUNCT
ejpam-3308	361	1	,	,	PUNCT
ejpam-3308	361	2	vol	vol	NOUN
ejpam-3308	361	3	.	.	PROPN
ejpam-3308	361	4	43	43	NUM
ejpam-3308	361	5	,	,	PUNCT
ejpam-3308	361	6	american	american	PROPN
ejpam-3308	361	7	mathematical	mathematical	ADJ
ejpam-3308	361	8	society	society	NOUN
ejpam-3308	361	9	,	,	PUNCT
ejpam-3308	361	10	providence	providence	NOUN
ejpam-3308	361	11	,	,	PUNCT
ejpam-3308	361	12	ri	ri	NOUN
ejpam-3308	361	13	,	,	PUNCT
ejpam-3308	361	14	pp	pp	ADJ
ejpam-3308	361	15	.	.	PUNCT
ejpam-3308	362	1	155182	155182	NUM
ejpam-3308	362	2	.	.	PUNCT
ejpam-3308	363	1	[	[	X
ejpam-3308	363	2	14	14	NUM
ejpam-3308	363	3	]	]	SYM
ejpam-3308	363	4	bolon	bolon	NOUN
ejpam-3308	363	5	,	,	PUNCT
ejpam-3308	363	6	thomas	thomas	PROPN
ejpam-3308	363	7	.	.	PUNCT
ejpam-3308	363	8	(	(	PUNCT
ejpam-3308	363	9	2013	2013	NUM
ejpam-3308	363	10	)	)	PUNCT
ejpam-3308	363	11	.	.	PUNCT
ejpam-3308	364	1	thomas.how	thomas.how	X
ejpam-3308	364	2	to	to	PART
ejpam-3308	364	3	never	never	ADV
ejpam-3308	364	4	lose	lose	VERB
ejpam-3308	364	5	at	at	ADP
ejpam-3308	364	6	tic	tic	ADJ
ejpam-3308	364	7	-	-	PUNCT
ejpam-3308	364	8	tac	tac	NOUN
ejpam-3308	364	9	-	-	PUNCT
ejpam-3308	364	10	toe	toe	NOUN
ejpam-3308	364	11	,	,	PUNCT
ejpam-3308	364	12	available	available	ADJ
ejpam-3308	364	13	on	on	ADP
ejpam-3308	364	14	https://books.google.com/books?id=ogqvnej	https://books.google.com/books?id=ogqvnej	NOUN
ejpam-3308	364	15	qkc&pg=&dq	qkc&pg=&dq	NUM
ejpam-3308	364	16	=	=	NOUN
ejpam-3308	364	17	tic+tac+toe+terminal+positions&hl	tic+tac+toe+terminal+positions&hl	NUM
ejpam-3308	364	18	=	=	SYM
ejpam-3308	364	19	en&sa	en&sa	NOUN
ejpam-3308	364	20	=	=	ADJ
ejpam-3308	364	21	x&ved=0ahukewjo0	x&ved=0ahukewjo0	NOUN
ejpam-3308	364	22	u3izfnqahwei1qkhfhhcmaq6aeimdae#v	u3izfnqahwei1qkhfhhcmaq6aeimdae#v	NOUN
ejpam-3308	364	23	=	=	NOUN
ejpam-3308	364	24	onepage	onepage	NOUN
ejpam-3308	364	25	&	&	CCONJ
ejpam-3308	364	26	q	q	NOUN
ejpam-3308	364	27	=	=	NOUN
ejpam-3308	364	28	tic%20tac%20toe%20terminal%20positions&f	tic%20tac%20toe%20terminal%20positions&f	NOUN
ejpam-3308	364	29	=	=	ADJ
ejpam-3308	364	30	false	false	ADJ
ejpam-3308	364	31	bookcountry	bookcountry	NOUN
ejpam-3308	364	32	.	.	PUNCT
ejpam-3308	365	1	isbn	isbn	PROPN
ejpam-3308	365	2	9781463001926	9781463001926	NUM
ejpam-3308	365	3	.	.	PUNCT
ejpam-3308	366	1	[	[	X
ejpam-3308	366	2	15	15	NUM
ejpam-3308	366	3	]	]	X
ejpam-3308	366	4	searching	search	VERB
ejpam-3308	366	5	for	for	ADP
ejpam-3308	366	6	the	the	DET
ejpam-3308	366	7	cat	cat	NOUN
ejpam-3308	366	8	in	in	ADP
ejpam-3308	366	9	tic	tic	ADJ
ejpam-3308	366	10	-	-	PUNCT
ejpam-3308	366	11	tac	tac	NOUN
ejpam-3308	366	12	-	-	PUNCT
ejpam-3308	366	13	toe	toe	NOUN
ejpam-3308	366	14	,	,	PUNCT
ejpam-3308	366	15	retrieved	retrieve	VERB
ejpam-3308	366	16	from	from	ADP
ejpam-3308	366	17	http://www.timesdaily.com/opinion/columnists	http://www.timesdaily.com/opinion/columnists	PROPN
ejpam-3308	366	18	/bernie	/bernie	PUNCT
ejpam-3308	366	19	delinski	delinski	NOUN
ejpam-3308	366	20	/	/	SYM
ejpam-3308	366	21	searching	searching	NOUN
ejpam-3308	366	22	-	-	PUNCT
ejpam-3308	366	23	for	for	ADP
ejpam-3308	366	24	-	-	PUNCT
ejpam-3308	366	25	the	the	DET
ejpam-3308	366	26	-	-	PUNCT
ejpam-3308	366	27	cat	cat	NOUN
ejpam-3308	366	28	-	-	PUNCT
ejpam-3308	366	29	in	in	ADP
ejpam-3308	366	30	-	-	PUNCT
ejpam-3308	366	31	tic	tic	ADJ
ejpam-3308	366	32	-	-	PUNCT
ejpam-3308	366	33	tactoe	tactoe	NOUN
ejpam-3308	366	34	/	/	SYM
ejpam-3308	366	35	article	article	NOUN
ejpam-3308	366	36	b3b90782-8328-11e3-9f53001a4bcf6878.html	b3b90782-8328-11e3-9f53001a4bcf6878.html	VERB
ejpam-3308	366	37	)	)	PUNCT
ejpam-3308	366	38	.	.	PUNCT
ejpam-3308	367	1	(	(	PUNCT
ejpam-3308	367	2	2016	2016	NUM
ejpam-3308	367	3	)	)	PUNCT
ejpam-3308	368	1	[	[	X
ejpam-3308	368	2	16	16	NUM
ejpam-3308	368	3	]	]	X
ejpam-3308	368	4	kevin	kevin	PROPN
ejpam-3308	368	5	crowley	crowley	PROPN
ejpam-3308	368	6	,	,	PUNCT
ejpam-3308	368	7	robert	robert	PROPN
ejpam-3308	368	8	s.	s.	PROPN
ejpam-3308	368	9	siegler	siegler	PROPN
ejpam-3308	368	10	.	.	PUNCT
ejpam-3308	369	1	(	(	PUNCT
ejpam-3308	369	2	1993	1993	NUM
ejpam-3308	369	3	)	)	PUNCT
ejpam-3308	369	4	flexible	flexible	ADJ
ejpam-3308	369	5	strategy	strategy	NOUN
ejpam-3308	369	6	use	use	NOUN
ejpam-3308	369	7	in	in	ADP
ejpam-3308	369	8	young	young	ADJ
ejpam-3308	369	9	childrenstictac	childrenstictac	NOUN
ejpam-3308	369	10	-	-	PUNCT
ejpam-3308	369	11	toe	toe	NOUN
ejpam-3308	369	12	,	,	PUNCT
ejpam-3308	369	13	cognitive	cognitive	ADJ
ejpam-3308	369	14	science	science	NOUN
ejpam-3308	369	15	.	.	PUNCT
ejpam-3308	370	1	vol.17	vol.17	ADJ
ejpam-3308	370	2	,	,	PUNCT
ejpam-3308	370	3	issue	issue	NOUN
ejpam-3308	370	4	4	4	NUM
ejpam-3308	370	5	,	,	PUNCT
ejpam-3308	370	6	(	(	PUNCT
ejpam-3308	370	7	1993	1993	NUM
ejpam-3308	370	8	)	)	PUNCT
ejpam-3308	370	9	.	.	PUNCT
ejpam-3308	371	1	:	:	PUNCT
ejpam-3308	372	1	531561	531561	NUM
ejpam-3308	372	2	.	.	PUNCT
ejpam-3308	373	1	doi:10.1016/03640213(93)90003	doi:10.1016/03640213(93)90003	NOUN
ejpam-3308	373	2	-	-	PUNCT
ejpam-3308	373	3	q	q	NOUN
ejpam-3308	373	4	(	(	PUNCT
ejpam-3308	373	5	https://doi.org/10.1016%2f0364-0213%2893%2990003-q	https://doi.org/10.1016%2f0364-0213%2893%2990003-q	NOUN
ejpam-3308	373	6	)	)	PUNCT
ejpam-3308	373	7	.	.	PUNCT