id	sid	tid	token	lemma	pos
cte-406	1	1	cte	cte	PROPN
cte-406	1	2	workshop	workshop	NOUN
cte-406	1	3	proceedings	proceeding	NOUN
cte-406	1	4	,	,	PUNCT
cte-406	1	5	2019	2019	NUM
cte-406	1	6	,	,	PUNCT
cte-406	1	7	vol	vol	NOUN
cte-406	1	8	.	.	PROPN
cte-406	2	1	6	6	NUM
cte-406	2	2	:	:	PUNCT
cte-406	2	3	cte-2018	cte-2018	NOUN
cte-406	2	4	,	,	PUNCT
cte-406	2	5	pp	pp	ADP
cte-406	2	6	.	.	PUNCT
cte-406	3	1	459	459	NUM
cte-406	3	2	-	-	SYM
cte-406	3	3	471	471	NUM
cte-406	3	4	459	459	NUM
cte-406	3	5	_	_	PUNCT
cte-406	4	1	_	_	PUNCT
cte-406	5	1	_	_	PUNCT
cte-406	6	1	_	_	PUNCT
cte-406	7	1	_	_	PUNCT
cte-406	8	1	_	_	PUNCT
cte-406	9	1	_	_	PUNCT
cte-406	10	1	_	_	PUNCT
cte-406	11	1	_	_	PUNCT
cte-406	12	1	_	_	PUNCT
cte-406	13	1	_	_	PUNCT
cte-406	14	1	_	_	PUNCT
cte-406	15	1	_	_	PUNCT
cte-406	16	1	_	_	PUNCT
cte-406	17	1	_	_	PUNCT
cte-406	18	1	_	_	PUNCT
cte-406	19	1	_	_	PUNCT
cte-406	20	1	_	_	PUNCT
cte-406	21	1	_	_	PUNCT
cte-406	22	1	copyright	copyright	NOUN
cte-406	22	2	©	©	ADP
cte-406	22	3	2019	2019	NUM
cte-406	22	4	for	for	ADP
cte-406	22	5	this	this	DET
cte-406	22	6	paper	paper	NOUN
cte-406	22	7	by	by	ADP
cte-406	22	8	its	its	PRON
cte-406	22	9	authors	author	NOUN
cte-406	22	10	.	.	PUNCT
cte-406	23	1	use	use	NOUN
cte-406	23	2	permitted	permit	VERB
cte-406	23	3	under	under	ADP
cte-406	23	4	creative	creative	ADJ
cte-406	23	5	commons	common	NOUN
cte-406	23	6	license	license	NOUN
cte-406	23	7	attribution	attribution	NOUN
cte-406	23	8	4.0	4.0	NUM
cte-406	23	9	international	international	NOUN
cte-406	23	10	(	(	PUNCT
cte-406	23	11	cc	cc	NOUN
cte-406	23	12	by	by	ADP
cte-406	23	13	4.0	4.0	NUM
cte-406	23	14	)	)	PUNCT
cte-406	23	15	.	.	PUNCT
cte-406	24	1	cloud	cloud	NOUN
cte-406	24	2	calculations	calculation	NOUN
cte-406	24	3	within	within	ADP
cte-406	24	4	the	the	DET
cte-406	24	5	optional	optional	ADJ
cte-406	24	6	course	course	NOUN
cte-406	24	7	optimization	optimization	NOUN
cte-406	24	8	problems	problem	NOUN
cte-406	24	9	for	for	ADP
cte-406	24	10	10th-11th	10th-11th	NUM
cte-406	24	11	graders	grader	NOUN
cte-406	24	12	iryna	iryna	NOUN
cte-406	24	13	v.	v.	ADP
cte-406	24	14	lovianova1[0000	lovianova1[0000	PROPN
cte-406	24	15	-	-	PUNCT
cte-406	24	16	0003	0003	NUM
cte-406	24	17	-	-	PUNCT
cte-406	24	18	3186	3186	NUM
cte-406	24	19	-	-	SYM
cte-406	24	20	2837	2837	NUM
cte-406	24	21	]	]	PUNCT
cte-406	24	22	,	,	PUNCT
cte-406	24	23	dmytro	dmytro	PROPN
cte-406	24	24	ye	ye	PRON
cte-406	24	25	.	.	PUNCT
cte-406	25	1	bobyliev1[0000	bobyliev1[0000	PROPN
cte-406	25	2	-	-	PUNCT
cte-406	25	3	0003	0003	NUM
cte-406	25	4	-	-	PUNCT
cte-406	25	5	1807	1807	NUM
cte-406	25	6	-	-	SYM
cte-406	25	7	4844	4844	NUM
cte-406	25	8	]	]	PUNCT
cte-406	25	9	and	and	CCONJ
cte-406	25	10	aleksandr	aleksandr	PROPN
cte-406	25	11	d.	d.	PROPN
cte-406	25	12	uchitel2[0000	uchitel2[0000	PROPN
cte-406	25	13	-	-	PUNCT
cte-406	25	14	0002	0002	NUM
cte-406	25	15	-	-	PUNCT
cte-406	25	16	9969	9969	NUM
cte-406	25	17	-	-	PUNCT
cte-406	25	18	0149	0149	NUM
cte-406	25	19	]	]	PUNCT
cte-406	25	20	1	1	NUM
cte-406	25	21	kryvyi	kryvyi	PROPN
cte-406	25	22	rih	rih	VERB
cte-406	25	23	state	state	NOUN
cte-406	25	24	pedagogical	pedagogical	ADJ
cte-406	25	25	university	university	NOUN
cte-406	25	26	,	,	PUNCT
cte-406	25	27	54	54	NUM
cte-406	25	28	,	,	PUNCT
cte-406	25	29	gagarina	gagarina	NOUN
cte-406	25	30	ave	ave	PROPN
cte-406	25	31	.	.	PROPN
cte-406	25	32	,	,	PUNCT
cte-406	25	33	kryvyi	kryvyi	PROPN
cte-406	25	34	rih	rih	VERB
cte-406	25	35	,	,	PUNCT
cte-406	25	36	50086	50086	NUM
cte-406	25	37	,	,	PUNCT
cte-406	25	38	ukraine	ukraine	PROPN
cte-406	25	39	lirihka22@gmail.com	lirihka22@gmail.com	PROPN
cte-406	25	40	,	,	PUNCT
cte-406	25	41	dmytrobobyliev@gmail.com	dmytrobobyliev@gmail.com	PROPN
cte-406	25	42	2	2	NUM
cte-406	25	43	kryvyi	kryvyi	PROPN
cte-406	25	44	rih	rih	VERB
cte-406	25	45	metallurgical	metallurgical	ADJ
cte-406	25	46	institute	institute	NOUN
cte-406	25	47	of	of	ADP
cte-406	25	48	the	the	DET
cte-406	25	49	national	national	ADJ
cte-406	25	50	metallurgical	metallurgical	PROPN
cte-406	25	51	academy	academy	PROPN
cte-406	25	52	of	of	ADP
cte-406	25	53	ukraine	ukraine	PROPN
cte-406	25	54	,	,	PUNCT
cte-406	25	55	5	5	NUM
cte-406	25	56	,	,	PUNCT
cte-406	25	57	stepana	stepana	PROPN
cte-406	25	58	tilhy	tilhy	VERB
cte-406	25	59	str	str	PRON
cte-406	25	60	.	.	PUNCT
cte-406	26	1	,	,	PUNCT
cte-406	26	2	kryvyi	kryvyi	PROPN
cte-406	26	3	rih	rih	VERB
cte-406	26	4	,	,	PUNCT
cte-406	26	5	50006	50006	NUM
cte-406	26	6	,	,	PUNCT
cte-406	26	7	ukraine	ukraine	NOUN
cte-406	26	8	o.d.uchitel@i.ua	o.d.uchitel@i.ua	PROPN
cte-406	26	9	abstract	abstract	ADJ
cte-406	26	10	.	.	PUNCT
cte-406	27	1	the	the	DET
cte-406	27	2	article	article	NOUN
cte-406	27	3	deals	deal	VERB
cte-406	27	4	with	with	ADP
cte-406	27	5	the	the	DET
cte-406	27	6	problem	problem	NOUN
cte-406	27	7	of	of	ADP
cte-406	27	8	introducing	introduce	VERB
cte-406	27	9	cloud	cloud	ADJ
cte-406	27	10	calculations	calculation	NOUN
cte-406	27	11	into	into	ADP
cte-406	27	12	10th-11th	10th-11th	NUM
cte-406	27	13	graders	grader	NOUN
cte-406	27	14	’	'	PUNCT
cte-406	27	15	training	training	NOUN
cte-406	27	16	to	to	PART
cte-406	27	17	solve	solve	VERB
cte-406	27	18	optimization	optimization	NOUN
cte-406	27	19	problems	problem	NOUN
cte-406	27	20	in	in	ADP
cte-406	27	21	the	the	DET
cte-406	27	22	context	context	NOUN
cte-406	27	23	of	of	ADP
cte-406	27	24	the	the	DET
cte-406	27	25	stem	stem	NOUN
cte-406	27	26	-	-	PUNCT
cte-406	27	27	education	education	NOUN
cte-406	27	28	concept	concept	NOUN
cte-406	27	29	.	.	PUNCT
cte-406	28	1	after	after	ADP
cte-406	28	2	analyzing	analyze	VERB
cte-406	28	3	existing	exist	VERB
cte-406	28	4	programmes	programme	NOUN
cte-406	28	5	of	of	ADP
cte-406	28	6	optional	optional	ADJ
cte-406	28	7	courses	course	NOUN
cte-406	28	8	on	on	ADP
cte-406	28	9	optimization	optimization	NOUN
cte-406	28	10	problems	problem	NOUN
cte-406	28	11	,	,	PUNCT
cte-406	28	12	the	the	DET
cte-406	28	13	programme	programme	NOUN
cte-406	28	14	of	of	ADP
cte-406	28	15	the	the	DET
cte-406	28	16	optional	optional	ADJ
cte-406	28	17	course	course	NOUN
cte-406	28	18	optimization	optimization	NOUN
cte-406	28	19	problems	problem	NOUN
cte-406	28	20	has	have	AUX
cte-406	28	21	been	be	AUX
cte-406	28	22	developed	develop	VERB
cte-406	28	23	and	and	CCONJ
cte-406	28	24	substantiated	substantiated	ADJ
cte-406	28	25	implying	implying	ADJ
cte-406	28	26	solution	solution	NOUN
cte-406	28	27	of	of	ADP
cte-406	28	28	problems	problem	NOUN
cte-406	28	29	by	by	ADP
cte-406	28	30	the	the	DET
cte-406	28	31	cloud	cloud	PROPN
cte-406	28	32	environment	environment	NOUN
cte-406	28	33	cocalc	cocalc	NOUN
cte-406	28	34	.	.	PUNCT
cte-406	29	1	it	it	PRON
cte-406	29	2	is	be	AUX
cte-406	29	3	a	a	DET
cte-406	29	4	routine	routine	ADJ
cte-406	29	5	calculating	calculate	VERB
cte-406	29	6	operation	operation	NOUN
cte-406	29	7	and	and	CCONJ
cte-406	29	8	not	not	PART
cte-406	29	9	a	a	DET
cte-406	29	10	mathematical	mathematical	ADJ
cte-406	29	11	model	model	NOUN
cte-406	29	12	that	that	PRON
cte-406	29	13	is	be	AUX
cte-406	29	14	accentuated	accentuate	VERB
cte-406	29	15	in	in	ADP
cte-406	29	16	the	the	DET
cte-406	29	17	programme	programme	NOUN
cte-406	29	18	.	.	PUNCT
cte-406	30	1	it	it	PRON
cte-406	30	2	allows	allow	VERB
cte-406	30	3	considering	consider	VERB
cte-406	30	4	more	more	ADJ
cte-406	30	5	problems	problem	NOUN
cte-406	30	6	which	which	PRON
cte-406	30	7	are	be	AUX
cte-406	30	8	close	close	ADJ
cte-406	30	9	to	to	ADP
cte-406	30	10	reality	reality	NOUN
cte-406	30	11	without	without	ADP
cte-406	30	12	adapting	adapt	VERB
cte-406	30	13	the	the	DET
cte-406	30	14	material	material	NOUN
cte-406	30	15	while	while	SCONJ
cte-406	30	16	training	train	VERB
cte-406	30	17	10th-11th	10th-11th	NUM
cte-406	30	18	graders	grader	NOUN
cte-406	30	19	.	.	PUNCT
cte-406	31	1	besides	besides	SCONJ
cte-406	31	2	,	,	PUNCT
cte-406	31	3	the	the	DET
cte-406	31	4	mathematical	mathematical	ADJ
cte-406	31	5	apparatus	apparatus	NOUN
cte-406	31	6	of	of	ADP
cte-406	31	7	the	the	DET
cte-406	31	8	course	course	NOUN
cte-406	31	9	which	which	PRON
cte-406	31	10	is	be	AUX
cte-406	31	11	partially	partially	ADV
cte-406	31	12	known	know	VERB
cte-406	31	13	to	to	ADP
cte-406	31	14	students	student	NOUN
cte-406	31	15	as	as	SCONJ
cte-406	31	16	the	the	DET
cte-406	31	17	knowledge	knowledge	NOUN
cte-406	31	18	acquired	acquire	VERB
cte-406	31	19	from	from	ADP
cte-406	31	20	such	such	ADJ
cte-406	31	21	mathematics	mathematic	NOUN
cte-406	31	22	sections	section	NOUN
cte-406	31	23	as	as	ADP
cte-406	31	24	the	the	DET
cte-406	31	25	theory	theory	NOUN
cte-406	31	26	of	of	ADP
cte-406	31	27	probability	probability	NOUN
cte-406	31	28	,	,	PUNCT
cte-406	31	29	mathematical	mathematical	ADJ
cte-406	31	30	statistics	statistic	NOUN
cte-406	31	31	,	,	PUNCT
cte-406	31	32	mathematical	mathematical	ADJ
cte-406	31	33	analysis	analysis	NOUN
cte-406	31	34	and	and	CCONJ
cte-406	31	35	linear	linear	NOUN
cte-406	31	36	algebra	algebra	NOUN
cte-406	31	37	is	be	AUX
cte-406	31	38	enough	enough	ADJ
cte-406	31	39	to	to	PART
cte-406	31	40	master	master	VERB
cte-406	31	41	the	the	DET
cte-406	31	42	suggested	suggest	VERB
cte-406	31	43	course	course	NOUN
cte-406	31	44	.	.	PUNCT
cte-406	32	1	the	the	DET
cte-406	32	2	developed	develop	VERB
cte-406	32	3	course	course	NOUN
cte-406	32	4	deals	deal	VERB
cte-406	32	5	with	with	ADP
cte-406	32	6	a	a	DET
cte-406	32	7	whole	whole	ADJ
cte-406	32	8	class	class	NOUN
cte-406	32	9	of	of	ADP
cte-406	32	10	problems	problem	NOUN
cte-406	32	11	of	of	ADP
cte-406	32	12	conventional	conventional	ADJ
cte-406	32	13	optimization	optimization	NOUN
cte-406	32	14	which	which	PRON
cte-406	32	15	vary	vary	VERB
cte-406	32	16	greatly	greatly	ADV
cte-406	32	17	.	.	PUNCT
cte-406	33	1	they	they	PRON
cte-406	33	2	can	can	AUX
cte-406	33	3	be	be	AUX
cte-406	33	4	associated	associate	VERB
cte-406	33	5	with	with	ADP
cte-406	33	6	designing	designing	NOUN
cte-406	33	7	devices	device	NOUN
cte-406	33	8	and	and	CCONJ
cte-406	33	9	technological	technological	ADJ
cte-406	33	10	processes	process	NOUN
cte-406	33	11	,	,	PUNCT
cte-406	33	12	distributing	distribute	VERB
cte-406	33	13	limited	limited	ADJ
cte-406	33	14	resources	resource	NOUN
cte-406	33	15	and	and	CCONJ
cte-406	33	16	planning	planning	NOUN
cte-406	33	17	business	business	NOUN
cte-406	33	18	functioning	function	VERB
cte-406	33	19	as	as	ADV
cte-406	33	20	well	well	ADV
cte-406	33	21	as	as	ADP
cte-406	33	22	with	with	ADP
cte-406	33	23	everyday	everyday	ADJ
cte-406	33	24	problems	problem	NOUN
cte-406	33	25	of	of	ADP
cte-406	33	26	people	people	NOUN
cte-406	33	27	.	.	PUNCT
cte-406	34	1	devices	device	NOUN
cte-406	34	2	,	,	PUNCT
cte-406	34	3	processes	process	NOUN
cte-406	34	4	and	and	CCONJ
cte-406	34	5	situations	situation	NOUN
cte-406	34	6	to	to	PART
cte-406	34	7	which	which	PRON
cte-406	34	8	a	a	DET
cte-406	34	9	model	model	NOUN
cte-406	34	10	of	of	ADP
cte-406	34	11	optimization	optimization	NOUN
cte-406	34	12	problem	problem	NOUN
cte-406	34	13	is	be	AUX
cte-406	34	14	applied	apply	VERB
cte-406	34	15	are	be	AUX
cte-406	34	16	called	call	VERB
cte-406	34	17	optimization	optimization	NOUN
cte-406	34	18	problems	problem	NOUN
cte-406	34	19	.	.	PUNCT
cte-406	35	1	optimization	optimization	NOUN
cte-406	35	2	methods	method	NOUN
cte-406	35	3	enable	enable	VERB
cte-406	35	4	optimal	optimal	ADJ
cte-406	35	5	solutions	solution	NOUN
cte-406	35	6	for	for	ADP
cte-406	35	7	mathematical	mathematical	ADJ
cte-406	35	8	models	model	NOUN
cte-406	35	9	.	.	PUNCT
cte-406	36	1	the	the	DET
cte-406	36	2	developed	developed	ADJ
cte-406	36	3	course	course	NOUN
cte-406	36	4	is	be	AUX
cte-406	36	5	noted	note	VERB
cte-406	36	6	for	for	ADP
cte-406	36	7	building	build	VERB
cte-406	36	8	mathematical	mathematical	ADJ
cte-406	36	9	models	model	NOUN
cte-406	36	10	and	and	CCONJ
cte-406	36	11	defining	define	VERB
cte-406	36	12	a	a	DET
cte-406	36	13	method	method	NOUN
cte-406	36	14	to	to	PART
cte-406	36	15	be	be	AUX
cte-406	36	16	applied	apply	VERB
cte-406	36	17	to	to	ADP
cte-406	36	18	finding	find	VERB
cte-406	36	19	an	an	DET
cte-406	36	20	efficient	efficient	ADJ
cte-406	36	21	solution	solution	NOUN
cte-406	36	22	.	.	PUNCT
cte-406	37	1	keywords	keyword	NOUN
cte-406	37	2	:	:	PUNCT
cte-406	37	3	optimization	optimization	NOUN
cte-406	37	4	problem	problem	NOUN
cte-406	37	5	,	,	PUNCT
cte-406	37	6	cloud	cloud	NOUN
cte-406	37	7	calculation	calculation	NOUN
cte-406	37	8	,	,	PUNCT
cte-406	37	9	cocalc	cocalc	NOUN
cte-406	37	10	.	.	PROPN
cte-406	37	11	1	1	NUM
cte-406	37	12	introduction	introduction	NOUN
cte-406	37	13	1.1	1.1	NUM
cte-406	37	14	problem	problem	NOUN
cte-406	37	15	statement	statement	NOUN
cte-406	37	16	and	and	CCONJ
cte-406	37	17	its	its	PRON
cte-406	37	18	topicality	topicality	NOUN
cte-406	37	19	substantiation	substantiation	NOUN
cte-406	37	20	modern	modern	ADJ
cte-406	37	21	society	society	NOUN
cte-406	37	22	is	be	AUX
cte-406	37	23	evolving	evolve	VERB
cte-406	37	24	fast	fast	ADV
cte-406	37	25	.	.	PUNCT
cte-406	38	1	the	the	DET
cte-406	38	2	character	character	NOUN
cte-406	38	3	of	of	ADP
cte-406	38	4	current	current	ADJ
cte-406	38	5	changes	change	NOUN
cte-406	38	6	is	be	AUX
cte-406	38	7	conditioned	condition	VERB
cte-406	38	8	,	,	PUNCT
cte-406	38	9	first	first	ADV
cte-406	38	10	of	of	ADP
cte-406	38	11	all	all	PRON
cte-406	38	12	,	,	PUNCT
cte-406	38	13	by	by	ADP
cte-406	38	14	rapid	rapid	ADJ
cte-406	38	15	informatization	informatization	NOUN
cte-406	38	16	of	of	ADP
cte-406	38	17	people	people	NOUN
cte-406	38	18	’s	’s	PART
cte-406	38	19	life	life	NOUN
cte-406	38	20	.	.	PUNCT
cte-406	39	1	the	the	DET
cte-406	39	2	scientific	scientific	ADJ
cte-406	39	3	-	-	PUNCT
cte-406	39	4	technical	technical	ADJ
cte-406	39	5	and	and	CCONJ
cte-406	39	6	informational	informational	ADJ
cte-406	39	7	advance	advance	NOUN
cte-406	39	8	of	of	ADP
cte-406	39	9	the	the	DET
cte-406	39	10	20th-21st	20th-21st	NUM
cte-406	39	11	centuries	century	NOUN
cte-406	39	12	has	have	AUX
cte-406	39	13	caused	cause	VERB
cte-406	39	14	transition	transition	NOUN
cte-406	39	15	from	from	ADP
cte-406	39	16	the	the	DET
cte-406	39	17	industrial	industrial	ADJ
cte-406	39	18	society	society	NOUN
cte-406	39	19	to	to	ADP
cte-406	39	20	the	the	DET
cte-406	39	21	informational	informational	ADJ
cte-406	39	22	one	one	NOUN
cte-406	39	23	.	.	PUNCT
cte-406	40	1	these	these	DET
cte-406	40	2	changes	change	NOUN
cte-406	40	3	are	be	AUX
cte-406	40	4	going	go	VERB
cte-406	40	5	on	on	ADP
cte-406	40	6	.	.	PUNCT
cte-406	41	1	experts	expert	NOUN
cte-406	41	2	predict	predict	VERB
cte-406	41	3	the	the	DET
cte-406	41	4	so460	so460	PROPN
cte-406	41	5	cte	cte	PROPN
cte-406	41	6	workshop	workshop	NOUN
cte-406	41	7	proceedings	proceeding	NOUN
cte-406	41	8	,	,	PUNCT
cte-406	41	9	2019	2019	NUM
cte-406	41	10	,	,	PUNCT
cte-406	41	11	vol	vol	NOUN
cte-406	41	12	.	.	PROPN
cte-406	41	13	6	6	NUM
cte-406	41	14	:	:	PUNCT
cte-406	41	15	cte-2018	cte-2018	NOUN
cte-406	41	16	,	,	PUNCT
cte-406	41	17	pp	pp	ADP
cte-406	41	18	.	.	PUNCT
cte-406	42	1	459	459	NUM
cte-406	42	2	-	-	SYM
cte-406	42	3	471	471	NUM
cte-406	42	4	called	call	VERB
cte-406	42	5	smart	smart	ADJ
cte-406	42	6	society	society	NOUN
cte-406	42	7	appearing	appear	VERB
cte-406	42	8	in	in	ADP
cte-406	42	9	the	the	DET
cte-406	42	10	nearest	near	ADJ
cte-406	42	11	decade	decade	NOUN
cte-406	42	12	.	.	PUNCT
cte-406	43	1	rapid	rapid	ADJ
cte-406	43	2	paces	pace	NOUN
cte-406	43	3	of	of	ADP
cte-406	43	4	life	life	NOUN
cte-406	43	5	dictate	dictate	VERB
cte-406	43	6	their	their	PRON
cte-406	43	7	terms	term	NOUN
cte-406	43	8	of	of	ADP
cte-406	43	9	success	success	NOUN
cte-406	43	10	to	to	ADP
cte-406	43	11	people	people	NOUN
cte-406	43	12	.	.	PUNCT
cte-406	44	1	a	a	DET
cte-406	44	2	person	person	NOUN
cte-406	44	3	has	have	VERB
cte-406	44	4	to	to	PART
cte-406	44	5	be	be	AUX
cte-406	44	6	able	able	ADJ
cte-406	44	7	to	to	PART
cte-406	44	8	make	make	VERB
cte-406	44	9	his	his	PRON
cte-406	44	10	/	/	SYM
cte-406	44	11	her	her	PRON
cte-406	44	12	activity	activity	NOUN
cte-406	44	13	and	and	CCONJ
cte-406	44	14	surrounding	surround	VERB
cte-406	44	15	processes	process	NOUN
cte-406	44	16	efficient	efficient	ADJ
cte-406	44	17	in	in	ADP
cte-406	44	18	terms	term	NOUN
cte-406	44	19	of	of	ADP
cte-406	44	20	time	time	NOUN
cte-406	44	21	expenditures	expenditure	NOUN
cte-406	44	22	for	for	ADP
cte-406	44	23	study	study	NOUN
cte-406	44	24	,	,	PUNCT
cte-406	44	25	work	work	NOUN
cte-406	44	26	and	and	CCONJ
cte-406	44	27	transport	transport	NOUN
cte-406	44	28	losses	loss	NOUN
cte-406	44	29	.	.	PUNCT
cte-406	45	1	the	the	DET
cte-406	45	2	problems	problem	NOUN
cte-406	45	3	of	of	ADP
cte-406	45	4	optimizing	optimize	VERB
cte-406	45	5	control	control	NOUN
cte-406	45	6	over	over	ADP
cte-406	45	7	a	a	DET
cte-406	45	8	small	small	ADJ
cte-406	45	9	group	group	NOUN
cte-406	45	10	of	of	ADP
cte-406	45	11	classmates	classmate	NOUN
cte-406	45	12	working	work	VERB
cte-406	45	13	on	on	ADP
cte-406	45	14	a	a	DET
cte-406	45	15	project	project	NOUN
cte-406	45	16	or	or	CCONJ
cte-406	45	17	managing	manage	VERB
cte-406	45	18	a	a	DET
cte-406	45	19	business	business	NOUN
cte-406	45	20	,	,	PUNCT
cte-406	45	21	etc	etc	X
cte-406	45	22	.	.	X
cte-406	45	23	should	should	AUX
cte-406	45	24	also	also	ADV
cte-406	45	25	be	be	AUX
cte-406	45	26	solved	solve	VERB
cte-406	45	27	.	.	PUNCT
cte-406	46	1	1.2	1.2	NUM
cte-406	46	2	analysis	analysis	NOUN
cte-406	46	3	of	of	ADP
cte-406	46	4	the	the	DET
cte-406	46	5	latest	late	ADJ
cte-406	46	6	researches	research	NOUN
cte-406	46	7	and	and	CCONJ
cte-406	46	8	publications	publication	VERB
cte-406	46	9	development	development	NOUN
cte-406	46	10	of	of	ADP
cte-406	46	11	optional	optional	ADJ
cte-406	46	12	and	and	CCONJ
cte-406	46	13	selective	selective	ADJ
cte-406	46	14	courses	course	NOUN
cte-406	46	15	with	with	ADP
cte-406	46	16	the	the	DET
cte-406	46	17	inter	inter	ADJ
cte-406	46	18	-	-	ADJ
cte-406	46	19	subject	subject	ADJ
cte-406	46	20	integral	integral	ADJ
cte-406	46	21	content	content	NOUN
cte-406	46	22	is	be	AUX
cte-406	46	23	one	one	NUM
cte-406	46	24	of	of	ADP
cte-406	46	25	the	the	DET
cte-406	46	26	most	most	ADV
cte-406	46	27	urgent	urgent	ADJ
cte-406	46	28	issues	issue	NOUN
cte-406	46	29	of	of	ADP
cte-406	46	30	subject	subject	ADJ
cte-406	46	31	-	-	PUNCT
cte-406	46	32	oriented	orient	VERB
cte-406	46	33	instruction	instruction	NOUN
cte-406	46	34	of	of	ADP
cte-406	46	35	senior	senior	ADJ
cte-406	46	36	school	school	NOUN
cte-406	46	37	students	student	NOUN
cte-406	46	38	.	.	PUNCT
cte-406	47	1	these	these	DET
cte-406	47	2	courses	course	NOUN
cte-406	47	3	allow	allow	VERB
cte-406	47	4	students	student	NOUN
cte-406	47	5	,	,	PUNCT
cte-406	47	6	on	on	ADP
cte-406	47	7	the	the	DET
cte-406	47	8	one	one	NUM
cte-406	47	9	hand	hand	NOUN
cte-406	47	10	,	,	PUNCT
cte-406	47	11	to	to	PART
cte-406	47	12	better	well	ADV
cte-406	47	13	visualize	visualize	VERB
cte-406	47	14	prospects	prospect	NOUN
cte-406	47	15	of	of	ADP
cte-406	47	16	a	a	DET
cte-406	47	17	chosen	choose	VERB
cte-406	47	18	future	future	ADJ
cte-406	47	19	profession	profession	NOUN
cte-406	47	20	,	,	PUNCT
cte-406	47	21	on	on	ADP
cte-406	47	22	the	the	DET
cte-406	47	23	other	other	ADJ
cte-406	47	24	hand	hand	NOUN
cte-406	47	25	,	,	PUNCT
cte-406	47	26	–	–	PUNCT
cte-406	47	27	to	to	PART
cte-406	47	28	satisfy	satisfy	VERB
cte-406	47	29	their	their	PRON
cte-406	47	30	educational	educational	ADJ
cte-406	47	31	needs	need	NOUN
cte-406	47	32	to	to	ADP
cte-406	47	33	the	the	DET
cte-406	47	34	fullest	full	ADJ
cte-406	47	35	.	.	PUNCT
cte-406	48	1	it	it	PRON
cte-406	48	2	is	be	AUX
cte-406	48	3	worth	worth	ADJ
cte-406	48	4	noting	note	VERB
cte-406	48	5	that	that	SCONJ
cte-406	48	6	in	in	ADP
cte-406	48	7	solving	solve	VERB
cte-406	48	8	optimization	optimization	NOUN
cte-406	48	9	problems	problem	NOUN
cte-406	48	10	,	,	PUNCT
cte-406	48	11	the	the	DET
cte-406	48	12	notion	notion	NOUN
cte-406	48	13	of	of	ADP
cte-406	48	14	an	an	DET
cte-406	48	15	optimization	optimization	NOUN
cte-406	48	16	problem	problem	NOUN
cte-406	48	17	model	model	NOUN
cte-406	48	18	is	be	AUX
cte-406	48	19	as	as	ADV
cte-406	48	20	important	important	ADJ
cte-406	48	21	as	as	ADP
cte-406	48	22	that	that	PRON
cte-406	48	23	of	of	ADP
cte-406	48	24	an	an	DET
cte-406	48	25	optimization	optimization	NOUN
cte-406	48	26	problem	problem	NOUN
cte-406	48	27	.	.	PUNCT
cte-406	49	1	correspondingly	correspondingly	ADV
cte-406	49	2	,	,	PUNCT
cte-406	49	3	a	a	DET
cte-406	49	4	target	target	NOUN
cte-406	49	5	function	function	NOUN
cte-406	49	6	is	be	AUX
cte-406	49	7	a	a	DET
cte-406	49	8	mathematical	mathematical	ADJ
cte-406	49	9	function	function	NOUN
cte-406	49	10	to	to	PART
cte-406	49	11	be	be	AUX
cte-406	49	12	optimized	optimize	VERB
cte-406	49	13	in	in	ADP
cte-406	49	14	a	a	DET
cte-406	49	15	problem	problem	NOUN
cte-406	49	16	,	,	PUNCT
cte-406	49	17	while	while	SCONJ
cte-406	49	18	limitation	limitation	NOUN
cte-406	49	19	is	be	AUX
cte-406	49	20	a	a	DET
cte-406	49	21	set	set	NOUN
cte-406	49	22	of	of	ADP
cte-406	49	23	requirements	requirement	NOUN
cte-406	49	24	to	to	PART
cte-406	49	25	problem	problem	VERB
cte-406	49	26	parameters	parameter	NOUN
cte-406	49	27	in	in	ADP
cte-406	49	28	the	the	DET
cte-406	49	29	form	form	NOUN
cte-406	49	30	of	of	ADP
cte-406	49	31	equations	equation	NOUN
cte-406	49	32	or	or	CCONJ
cte-406	49	33	inequalities	inequality	NOUN
cte-406	49	34	.	.	PUNCT
cte-406	50	1	if	if	SCONJ
cte-406	50	2	the	the	DET
cte-406	50	3	target	target	NOUN
cte-406	50	4	function	function	NOUN
cte-406	50	5	is	be	AUX
cte-406	50	6	linear	linear	ADJ
cte-406	50	7	and	and	CCONJ
cte-406	50	8	linear	linear	ADJ
cte-406	50	9	limitations	limitation	NOUN
cte-406	50	10	are	be	AUX
cte-406	50	11	imposed	impose	VERB
cte-406	50	12	on	on	ADP
cte-406	50	13	its	its	PRON
cte-406	50	14	arguments	argument	NOUN
cte-406	50	15	,	,	PUNCT
cte-406	50	16	a	a	DET
cte-406	50	17	corresponding	correspond	VERB
cte-406	50	18	optimization	optimization	NOUN
cte-406	50	19	problem	problem	NOUN
cte-406	50	20	refers	refer	VERB
cte-406	50	21	to	to	ADP
cte-406	50	22	the	the	DET
cte-406	50	23	problem	problem	NOUN
cte-406	50	24	class	class	NOUN
cte-406	50	25	of	of	ADP
cte-406	50	26	linear	linear	PROPN
cte-406	50	27	programming	programming	NOUN
cte-406	50	28	.	.	PUNCT
cte-406	51	1	from	from	ADP
cte-406	51	2	the	the	DET
cte-406	51	3	practical	practical	ADJ
cte-406	51	4	point	point	NOUN
cte-406	51	5	of	of	ADP
cte-406	51	6	view	view	NOUN
cte-406	51	7	,	,	PUNCT
cte-406	51	8	optimization	optimization	NOUN
cte-406	51	9	problem	problem	NOUN
cte-406	51	10	solution	solution	NOUN
cte-406	51	11	means	mean	VERB
cte-406	51	12	that	that	SCONJ
cte-406	51	13	a	a	DET
cte-406	51	14	person	person	NOUN
cte-406	51	15	in	in	ADP
cte-406	51	16	his	his	PRON
cte-406	51	17	/	/	SYM
cte-406	51	18	her	her	PRON
cte-406	51	19	activity	activity	NOUN
cte-406	51	20	aimed	aim	VERB
cte-406	51	21	at	at	ADP
cte-406	51	22	achieving	achieve	VERB
cte-406	51	23	a	a	DET
cte-406	51	24	set	set	ADJ
cte-406	51	25	goal	goal	NOUN
cte-406	51	26	always	always	ADV
cte-406	51	27	strives	strive	VERB
cte-406	51	28	for	for	ADP
cte-406	51	29	the	the	DET
cte-406	51	30	best	good	ADJ
cte-406	51	31	or	or	CCONJ
cte-406	51	32	the	the	DET
cte-406	51	33	most	most	ADV
cte-406	51	34	efficient	efficient	ADJ
cte-406	51	35	ways	way	NOUN
cte-406	51	36	of	of	ADP
cte-406	51	37	action	action	NOUN
cte-406	51	38	if	if	SCONJ
cte-406	51	39	there	there	PRON
cte-406	51	40	is	be	VERB
cte-406	51	41	an	an	DET
cte-406	51	42	opportunity	opportunity	NOUN
cte-406	51	43	to	to	PART
cte-406	51	44	choose	choose	VERB
cte-406	51	45	out	out	ADP
cte-406	51	46	of	of	ADP
cte-406	51	47	an	an	DET
cte-406	51	48	endless	endless	ADJ
cte-406	51	49	variety	variety	NOUN
cte-406	51	50	of	of	ADP
cte-406	51	51	methods	method	NOUN
cte-406	51	52	the	the	DET
cte-406	51	53	one	one	NOUN
cte-406	51	54	that	that	PRON
cte-406	51	55	helps	help	VERB
cte-406	51	56	to	to	PART
cte-406	51	57	achieve	achieve	VERB
cte-406	51	58	it	it	PRON
cte-406	51	59	.	.	PUNCT
cte-406	52	1	ways	way	NOUN
cte-406	52	2	of	of	ADP
cte-406	52	3	action	action	NOUN
cte-406	52	4	or	or	CCONJ
cte-406	52	5	strategies	strategy	NOUN
cte-406	52	6	are	be	AUX
cte-406	52	7	often	often	ADV
cte-406	52	8	characterized	characterize	VERB
cte-406	52	9	by	by	ADP
cte-406	52	10	a	a	DET
cte-406	52	11	value	value	NOUN
cte-406	52	12	.	.	PUNCT
cte-406	53	1	in	in	ADP
cte-406	53	2	this	this	DET
cte-406	53	3	case	case	NOUN
cte-406	53	4	,	,	PUNCT
cte-406	53	5	the	the	DET
cte-406	53	6	problem	problem	NOUN
cte-406	53	7	of	of	ADP
cte-406	53	8	choosing	choose	VERB
cte-406	53	9	the	the	DET
cte-406	53	10	best	good	ADJ
cte-406	53	11	strategy	strategy	NOUN
cte-406	53	12	implies	imply	VERB
cte-406	53	13	finding	find	VERB
cte-406	53	14	an	an	DET
cte-406	53	15	extremum	extremum	ADJ
cte-406	53	16	–	–	PUNCT
cte-406	53	17	the	the	DET
cte-406	53	18	minimum	minimum	NOUN
cte-406	53	19	or	or	CCONJ
cte-406	53	20	the	the	DET
cte-406	53	21	maximum	maximum	NOUN
cte-406	53	22	of	of	ADP
cte-406	53	23	this	this	DET
cte-406	53	24	value	value	NOUN
cte-406	53	25	.	.	PUNCT
cte-406	54	1	it	it	PRON
cte-406	54	2	is	be	AUX
cte-406	54	3	also	also	ADV
cte-406	54	4	important	important	ADJ
cte-406	54	5	to	to	PART
cte-406	54	6	admit	admit	VERB
cte-406	54	7	that	that	SCONJ
cte-406	54	8	the	the	DET
cte-406	54	9	mathematical	mathematical	ADJ
cte-406	54	10	apparatus	apparatus	NOUN
cte-406	54	11	of	of	ADP
cte-406	54	12	optimization	optimization	NOUN
cte-406	54	13	problem	problem	NOUN
cte-406	54	14	solution	solution	NOUN
cte-406	54	15	is	be	AUX
cte-406	54	16	used	use	VERB
cte-406	54	17	not	not	PART
cte-406	54	18	only	only	ADV
cte-406	54	19	as	as	ADP
cte-406	54	20	a	a	DET
cte-406	54	21	tool	tool	NOUN
cte-406	54	22	of	of	ADP
cte-406	54	23	ordinary	ordinary	ADJ
cte-406	54	24	calculation	calculation	NOUN
cte-406	54	25	.	.	PUNCT
cte-406	55	1	it	it	PRON
cte-406	55	2	is	be	AUX
cte-406	55	3	also	also	ADV
cte-406	55	4	essential	essential	ADJ
cte-406	55	5	for	for	ADP
cte-406	55	6	decision	decision	NOUN
cte-406	55	7	making	making	NOUN
cte-406	55	8	while	while	SCONJ
cte-406	55	9	choosing	choose	VERB
cte-406	55	10	the	the	DET
cte-406	55	11	most	most	ADV
cte-406	55	12	efficient	efficient	ADJ
cte-406	55	13	variant	variant	NOUN
cte-406	55	14	to	to	PART
cte-406	55	15	achieve	achieve	VERB
cte-406	55	16	the	the	DET
cte-406	55	17	best	good	ADJ
cte-406	55	18	result	result	NOUN
cte-406	55	19	.	.	PUNCT
cte-406	56	1	it	it	PRON
cte-406	56	2	is	be	AUX
cte-406	56	3	essential	essential	ADJ
cte-406	56	4	to	to	PART
cte-406	56	5	accentuate	accentuate	VERB
cte-406	56	6	the	the	DET
cte-406	56	7	importance	importance	NOUN
cte-406	56	8	of	of	ADP
cte-406	56	9	optimization	optimization	NOUN
cte-406	56	10	problem	problem	NOUN
cte-406	56	11	solution	solution	NOUN
cte-406	56	12	aimed	aim	VERB
cte-406	56	13	at	at	ADP
cte-406	56	14	demonstrating	demonstrate	VERB
cte-406	56	15	applicability	applicability	NOUN
cte-406	56	16	of	of	ADP
cte-406	56	17	inter	inter	ADJ
cte-406	56	18	-	-	ADJ
cte-406	56	19	subject	subject	ADJ
cte-406	56	20	connections	connection	NOUN
cte-406	56	21	between	between	ADP
cte-406	56	22	mathematics	mathematic	NOUN
cte-406	56	23	and	and	CCONJ
cte-406	56	24	other	other	ADJ
cte-406	56	25	subjects	subject	NOUN
cte-406	56	26	.	.	PUNCT
cte-406	57	1	it	it	PRON
cte-406	57	2	should	should	AUX
cte-406	57	3	be	be	AUX
cte-406	57	4	noted	note	VERB
cte-406	57	5	that	that	SCONJ
cte-406	57	6	complex	complex	ADJ
cte-406	57	7	optimization	optimization	NOUN
cte-406	57	8	problems	problem	NOUN
cte-406	57	9	associated	associate	VERB
cte-406	57	10	with	with	ADP
cte-406	57	11	long	long	ADJ
cte-406	57	12	calculations	calculation	NOUN
cte-406	57	13	should	should	AUX
cte-406	57	14	be	be	AUX
cte-406	57	15	solved	solve	VERB
cte-406	57	16	professionally	professionally	ADV
cte-406	57	17	,	,	PUNCT
cte-406	57	18	while	while	SCONJ
cte-406	57	19	10th-11th	10th-11th	NUM
cte-406	57	20	graders	grader	NOUN
cte-406	57	21	are	be	AUX
cte-406	57	22	able	able	ADJ
cte-406	57	23	to	to	PART
cte-406	57	24	deal	deal	VERB
cte-406	57	25	with	with	ADP
cte-406	57	26	less	less	ADV
cte-406	57	27	complicated	complicated	ADJ
cte-406	57	28	ones	one	NOUN
cte-406	57	29	.	.	PUNCT
cte-406	58	1	such	such	ADJ
cte-406	58	2	problems	problem	NOUN
cte-406	58	3	include	include	VERB
cte-406	58	4	those	those	PRON
cte-406	58	5	of	of	ADP
cte-406	58	6	the	the	DET
cte-406	58	7	external	external	ADJ
cte-406	58	8	ballistics	ballistic	NOUN
cte-406	58	9	theory	theory	NOUN
cte-406	58	10	(	(	PUNCT
cte-406	58	11	determining	determine	VERB
cte-406	58	12	the	the	DET
cte-406	58	13	maximum	maximum	ADJ
cte-406	58	14	missile	missile	NOUN
cte-406	58	15	range	range	NOUN
cte-406	58	16	,	,	PUNCT
cte-406	58	17	building	build	VERB
cte-406	58	18	a	a	DET
cte-406	58	19	safety	safety	NOUN
cte-406	58	20	parabola	parabola	PROPN
cte-406	58	21	equation	equation	NOUN
cte-406	58	22	)	)	PUNCT
cte-406	58	23	,	,	PUNCT
cte-406	58	24	optimization	optimization	NOUN
cte-406	58	25	problems	problem	NOUN
cte-406	58	26	in	in	ADP
cte-406	58	27	studying	study	VERB
cte-406	58	28	the	the	DET
cte-406	58	29	topic	topic	NOUN
cte-406	58	30	percentage	percentage	NOUN
cte-406	58	31	,	,	PUNCT
cte-406	58	32	etc	etc	X
cte-406	58	33	.	.	X
cte-406	59	1	thus	thus	ADV
cte-406	59	2	,	,	PUNCT
cte-406	59	3	optional	optional	ADJ
cte-406	59	4	courses	course	NOUN
cte-406	59	5	dealing	deal	VERB
cte-406	59	6	with	with	ADP
cte-406	59	7	optimization	optimization	NOUN
cte-406	59	8	problems	problem	NOUN
cte-406	59	9	allow	allow	VERB
cte-406	59	10	showing	show	VERB
cte-406	59	11	10th-11th	10th-11th	NUM
cte-406	59	12	graders	grader	NOUN
cte-406	59	13	how	how	SCONJ
cte-406	59	14	to	to	PART
cte-406	59	15	formalize	formalize	VERB
cte-406	59	16	decision	decision	NOUN
cte-406	59	17	making	make	VERB
cte-406	59	18	problems	problem	NOUN
cte-406	59	19	,	,	PUNCT
cte-406	59	20	solve	solve	VERB
cte-406	59	21	them	they	PRON
cte-406	59	22	by	by	ADP
cte-406	59	23	applying	apply	VERB
cte-406	59	24	mathematical	mathematical	ADJ
cte-406	59	25	tools	tool	NOUN
cte-406	59	26	and	and	CCONJ
cte-406	59	27	how	how	SCONJ
cte-406	59	28	to	to	PART
cte-406	59	29	apply	apply	VERB
cte-406	59	30	obtained	obtain	VERB
cte-406	59	31	solutions	solution	NOUN
cte-406	59	32	to	to	PART
cte-406	59	33	practice	practice	VERB
cte-406	59	34	.	.	PUNCT
cte-406	60	1	at	at	ADP
cte-406	60	2	present	present	ADJ
cte-406	60	3	,	,	PUNCT
cte-406	60	4	there	there	PRON
cte-406	60	5	are	be	VERB
cte-406	60	6	not	not	PART
cte-406	60	7	so	so	ADV
cte-406	60	8	many	many	ADJ
cte-406	60	9	authors	author	NOUN
cte-406	60	10	’	'	PUNCT
cte-406	60	11	optional	optional	ADJ
cte-406	60	12	courses	course	NOUN
cte-406	60	13	dealing	deal	VERB
cte-406	60	14	with	with	ADP
cte-406	60	15	optimization	optimization	NOUN
cte-406	60	16	problems	problem	NOUN
cte-406	60	17	.	.	PUNCT
cte-406	61	1	yet	yet	ADV
cte-406	61	2	,	,	PUNCT
cte-406	61	3	the	the	DET
cte-406	61	4	available	available	ADJ
cte-406	61	5	ones	one	NOUN
cte-406	61	6	do	do	AUX
cte-406	61	7	not	not	PART
cte-406	61	8	accentuate	accentuate	VERB
cte-406	61	9	application	application	NOUN
cte-406	61	10	of	of	ADP
cte-406	61	11	information	information	NOUN
cte-406	61	12	technologies	technology	NOUN
cte-406	61	13	to	to	ADP
cte-406	61	14	providing	provide	VERB
cte-406	61	15	instruction	instruction	NOUN
cte-406	61	16	which	which	PRON
cte-406	61	17	is	be	AUX
cte-406	61	18	a	a	DET
cte-406	61	19	sign	sign	NOUN
cte-406	61	20	of	of	ADP
cte-406	61	21	meeting	meet	VERB
cte-406	61	22	modern	modern	ADJ
cte-406	61	23	requirements	requirement	NOUN
cte-406	61	24	to	to	ADP
cte-406	61	25	training	training	NOUN
cte-406	61	26	organization	organization	NOUN
cte-406	61	27	under	under	ADP
cte-406	61	28	the	the	DET
cte-406	61	29	stem	stem	NOUN
cte-406	61	30	concept	concept	NOUN
cte-406	61	31	.	.	PUNCT
cte-406	62	1	some	some	DET
cte-406	62	2	researchers	researcher	NOUN
cte-406	62	3	[	[	X
cte-406	62	4	2	2	NUM
cte-406	62	5	;	;	PUNCT
cte-406	62	6	4	4	NUM
cte-406	62	7	;	;	PUNCT
cte-406	62	8	5	5	NUM
cte-406	62	9	;	;	PUNCT
cte-406	62	10	6	6	NUM
cte-406	62	11	;	;	PUNCT
cte-406	62	12	7	7	NUM
cte-406	62	13	;	;	PUNCT
cte-406	62	14	9	9	NUM
cte-406	62	15	;	;	PUNCT
cte-406	62	16	10	10	NUM
cte-406	62	17	;	;	PUNCT
cte-406	62	18	11	11	NUM
cte-406	62	19	]	]	PUNCT
cte-406	62	20	think	think	VERB
cte-406	62	21	that	that	SCONJ
cte-406	62	22	cocalc	cocalc	NOUN
cte-406	62	23	can	can	AUX
cte-406	62	24	be	be	AUX
cte-406	62	25	one	one	NUM
cte-406	62	26	of	of	ADP
cte-406	62	27	software	software	NOUN
cte-406	62	28	tools	tool	NOUN
cte-406	62	29	to	to	PART
cte-406	62	30	be	be	AUX
cte-406	62	31	applicable	applicable	ADJ
cte-406	62	32	to	to	ADP
cte-406	62	33	solving	solve	VERB
cte-406	62	34	optimization	optimization	NOUN
cte-406	62	35	problems	problem	NOUN
cte-406	62	36	.	.	PUNCT
cte-406	63	1	cte	cte	PROPN
cte-406	63	2	workshop	workshop	NOUN
cte-406	63	3	proceedings	proceeding	NOUN
cte-406	63	4	,	,	PUNCT
cte-406	63	5	2019	2019	NUM
cte-406	63	6	,	,	PUNCT
cte-406	63	7	vol	vol	NOUN
cte-406	63	8	.	.	PROPN
cte-406	64	1	6	6	NUM
cte-406	64	2	:	:	PUNCT
cte-406	64	3	cte-2018	cte-2018	NOUN
cte-406	64	4	,	,	PUNCT
cte-406	64	5	pp	pp	ADP
cte-406	64	6	.	.	PUNCT
cte-406	65	1	459	459	NUM
cte-406	65	2	-	-	SYM
cte-406	65	3	471	471	NUM
cte-406	65	4	461	461	NUM
cte-406	65	5	1.3	1.3	NUM
cte-406	65	6	research	research	NOUN
cte-406	65	7	methods	method	NOUN
cte-406	65	8	research	research	NOUN
cte-406	65	9	methods	method	NOUN
cte-406	65	10	include	include	VERB
cte-406	65	11	theoretical	theoretical	ADJ
cte-406	65	12	analysis	analysis	NOUN
cte-406	65	13	and	and	CCONJ
cte-406	65	14	synthesis	synthesis	NOUN
cte-406	65	15	of	of	ADP
cte-406	65	16	data	datum	NOUN
cte-406	65	17	from	from	ADP
cte-406	65	18	research	research	NOUN
cte-406	65	19	and	and	CCONJ
cte-406	65	20	scientific	scientific	ADJ
cte-406	65	21	-	-	PUNCT
cte-406	65	22	pedagogical	pedagogical	ADJ
cte-406	65	23	literature	literature	NOUN
cte-406	65	24	concerning	concern	VERB
cte-406	65	25	the	the	DET
cte-406	65	26	research	research	NOUN
cte-406	65	27	problem	problem	NOUN
cte-406	65	28	,	,	PUNCT
cte-406	65	29	analysis	analysis	NOUN
cte-406	65	30	of	of	ADP
cte-406	65	31	regulatory	regulatory	ADJ
cte-406	65	32	and	and	CCONJ
cte-406	65	33	legal	legal	ADJ
cte-406	65	34	documents	document	NOUN
cte-406	65	35	in	in	ADP
cte-406	65	36	education	education	NOUN
cte-406	65	37	that	that	PRON
cte-406	65	38	regulate	regulate	VERB
cte-406	65	39	optional	optional	ADJ
cte-406	65	40	courses	course	NOUN
cte-406	65	41	,	,	PUNCT
cte-406	65	42	investigation	investigation	NOUN
cte-406	65	43	into	into	ADP
cte-406	65	44	training	training	NOUN
cte-406	65	45	programmes	programme	NOUN
cte-406	65	46	,	,	PUNCT
cte-406	65	47	teaching	teach	VERB
cte-406	65	48	aids	aid	NOUN
cte-406	65	49	,	,	PUNCT
cte-406	65	50	programmes	programme	NOUN
cte-406	65	51	of	of	ADP
cte-406	65	52	standard	standard	ADJ
cte-406	65	53	and	and	CCONJ
cte-406	65	54	optional	optional	ADJ
cte-406	65	55	courses	course	NOUN
cte-406	65	56	for	for	ADP
cte-406	65	57	10th-11th	10th-11th	NUM
cte-406	65	58	graders	grader	NOUN
cte-406	65	59	in	in	ADP
cte-406	65	60	similar	similar	ADJ
cte-406	65	61	subjects	subject	NOUN
cte-406	65	62	.	.	PUNCT
cte-406	66	1	2	2	NUM
cte-406	66	2	inside	inside	ADP
cte-406	66	3	the	the	DET
cte-406	66	4	optional	optional	ADJ
cte-406	66	5	course	course	NOUN
cte-406	66	6	optimization	optimization	NOUN
cte-406	66	7	problems	problem	VERB
cte-406	66	8	the	the	DET
cte-406	66	9	stem	stem	NOUN
cte-406	66	10	-	-	PUNCT
cte-406	66	11	concept	concept	NOUN
cte-406	66	12	in	in	ADP
cte-406	66	13	education	education	NOUN
cte-406	66	14	is	be	AUX
cte-406	66	15	aimed	aim	VERB
cte-406	66	16	at	at	ADP
cte-406	66	17	forming	form	VERB
cte-406	66	18	students	student	NOUN
cte-406	66	19	’	'	PUNCT
cte-406	66	20	basic	basic	ADJ
cte-406	66	21	ideas	idea	NOUN
cte-406	66	22	of	of	ADP
cte-406	66	23	understanding	understand	VERB
cte-406	66	24	unity	unity	NOUN
cte-406	66	25	of	of	ADP
cte-406	66	26	informational	informational	ADJ
cte-406	66	27	principles	principle	NOUN
cte-406	66	28	of	of	ADP
cte-406	66	29	building	building	NOUN
cte-406	66	30	and	and	CCONJ
cte-406	66	31	functioning	function	VERB
cte-406	66	32	of	of	ADP
cte-406	66	33	various	various	ADJ
cte-406	66	34	systems	system	NOUN
cte-406	66	35	and	and	CCONJ
cte-406	66	36	management	management	NOUN
cte-406	66	37	processes	process	NOUN
cte-406	66	38	in	in	ADP
cte-406	66	39	nature	nature	NOUN
cte-406	66	40	,	,	PUNCT
cte-406	66	41	engineering	engineering	NOUN
cte-406	66	42	and	and	CCONJ
cte-406	66	43	society	society	NOUN
cte-406	66	44	.	.	PUNCT
cte-406	67	1	considering	consider	VERB
cte-406	67	2	these	these	DET
cte-406	67	3	postulates	postulate	NOUN
cte-406	67	4	,	,	PUNCT
cte-406	67	5	we	we	PRON
cte-406	67	6	have	have	AUX
cte-406	67	7	developed	develop	VERB
cte-406	67	8	the	the	DET
cte-406	67	9	course	course	NOUN
cte-406	67	10	optimization	optimization	NOUN
cte-406	67	11	problems	problem	NOUN
cte-406	67	12	.	.	PUNCT
cte-406	68	1	its	its	PRON
cte-406	68	2	relevance	relevance	NOUN
cte-406	68	3	is	be	AUX
cte-406	68	4	explained	explain	VERB
cte-406	68	5	by	by	ADP
cte-406	68	6	rapid	rapid	ADJ
cte-406	68	7	updating	updating	NOUN
cte-406	68	8	of	of	ADP
cte-406	68	9	science	science	NOUN
cte-406	68	10	-	-	PUNCT
cte-406	68	11	intensive	intensive	ADJ
cte-406	68	12	technologies	technology	NOUN
cte-406	68	13	calling	call	VERB
cte-406	68	14	for	for	ADP
cte-406	68	15	highly	highly	ADV
cte-406	68	16	-	-	PUNCT
cte-406	68	17	qualified	qualified	ADJ
cte-406	68	18	specialists	specialist	NOUN
cte-406	68	19	of	of	ADP
cte-406	68	20	a	a	DET
cte-406	68	21	new	new	ADJ
cte-406	68	22	type	type	NOUN
cte-406	68	23	–	–	PUNCT
cte-406	68	24	active	active	ADJ
cte-406	68	25	,	,	PUNCT
cte-406	68	26	creative	creative	ADJ
cte-406	68	27	,	,	PUNCT
cte-406	68	28	able	able	ADJ
cte-406	68	29	to	to	PART
cte-406	68	30	enrich	enrich	VERB
cte-406	68	31	their	their	PRON
cte-406	68	32	knowledge	knowledge	NOUN
cte-406	68	33	on	on	ADP
cte-406	68	34	elaborating	elaborate	VERB
cte-406	68	35	and	and	CCONJ
cte-406	68	36	mastering	master	VERB
cte-406	68	37	new	new	ADJ
cte-406	68	38	generations	generation	NOUN
cte-406	68	39	of	of	ADP
cte-406	68	40	machines	machine	NOUN
cte-406	68	41	and	and	CCONJ
cte-406	68	42	industrial	industrial	ADJ
cte-406	68	43	processes	process	NOUN
cte-406	68	44	.	.	PUNCT
cte-406	69	1	according	accord	VERB
cte-406	69	2	to	to	ADP
cte-406	69	3	the	the	DET
cte-406	69	4	competence	competence	NOUN
cte-406	69	5	-	-	PUNCT
cte-406	69	6	oriented	orient	VERB
cte-406	69	7	approach	approach	NOUN
cte-406	69	8	,	,	PUNCT
cte-406	69	9	there	there	PRON
cte-406	69	10	appears	appear	VERB
cte-406	69	11	a	a	DET
cte-406	69	12	necessity	necessity	NOUN
cte-406	69	13	for	for	ADP
cte-406	69	14	new	new	ADJ
cte-406	69	15	interpretation	interpretation	NOUN
cte-406	69	16	of	of	ADP
cte-406	69	17	subject	subject	ADJ
cte-406	69	18	instruction	instruction	NOUN
cte-406	69	19	and	and	CCONJ
cte-406	69	20	new	new	ADJ
cte-406	69	21	conditions	condition	NOUN
cte-406	69	22	of	of	ADP
cte-406	69	23	incorporating	incorporate	VERB
cte-406	69	24	instruction	instruction	NOUN
cte-406	69	25	into	into	ADP
cte-406	69	26	formation	formation	NOUN
cte-406	69	27	of	of	ADP
cte-406	69	28	students	student	NOUN
cte-406	69	29	’	'	PUNCT
cte-406	69	30	competences	competence	NOUN
cte-406	69	31	.	.	PUNCT
cte-406	70	1	therefore	therefore	ADV
cte-406	70	2	,	,	PUNCT
cte-406	70	3	it	it	PRON
cte-406	70	4	is	be	AUX
cte-406	70	5	required	require	VERB
cte-406	70	6	to	to	PART
cte-406	70	7	find	find	VERB
cte-406	70	8	critically	critically	ADV
cte-406	70	9	new	new	ADJ
cte-406	70	10	characteristics	characteristic	NOUN
cte-406	70	11	of	of	ADP
cte-406	70	12	subject	subject	ADJ
cte-406	70	13	instruction	instruction	NOUN
cte-406	70	14	.	.	PUNCT
cte-406	71	1	new	new	ADJ
cte-406	71	2	educational	educational	ADJ
cte-406	71	3	standards	standard	NOUN
cte-406	71	4	aimed	aim	VERB
cte-406	71	5	at	at	ADP
cte-406	71	6	self	self	NOUN
cte-406	71	7	-	-	PUNCT
cte-406	71	8	development	development	NOUN
cte-406	71	9	,	,	PUNCT
cte-406	71	10	self	self	NOUN
cte-406	71	11	-	-	PUNCT
cte-406	71	12	identity	identity	NOUN
cte-406	71	13	and	and	CCONJ
cte-406	71	14	self	self	NOUN
cte-406	71	15	-	-	PUNCT
cte-406	71	16	realization	realization	NOUN
cte-406	71	17	make	make	NOUN
cte-406	71	18	educators	educator	NOUN
cte-406	71	19	look	look	VERB
cte-406	71	20	for	for	ADP
cte-406	71	21	new	new	ADJ
cte-406	71	22	approaches	approach	NOUN
cte-406	71	23	and	and	CCONJ
cte-406	71	24	forms	form	NOUN
cte-406	71	25	of	of	ADP
cte-406	71	26	training	training	NOUN
cte-406	71	27	organization	organization	NOUN
cte-406	71	28	as	as	ADV
cte-406	71	29	well	well	ADV
cte-406	71	30	as	as	ADP
cte-406	71	31	new	new	ADJ
cte-406	71	32	content	content	NOUN
cte-406	71	33	of	of	ADP
cte-406	71	34	traditional	traditional	ADJ
cte-406	71	35	training	training	NOUN
cte-406	71	36	forms	form	NOUN
cte-406	71	37	.	.	PUNCT
cte-406	72	1	in	in	ADP
cte-406	72	2	view	view	NOUN
cte-406	72	3	of	of	ADP
cte-406	72	4	this	this	PRON
cte-406	72	5	,	,	PUNCT
cte-406	72	6	principles	principle	NOUN
cte-406	72	7	of	of	ADP
cte-406	72	8	training	training	NOUN
cte-406	72	9	organization	organization	NOUN
cte-406	72	10	are	be	AUX
cte-406	72	11	changing	change	VERB
cte-406	72	12	.	.	PUNCT
cte-406	73	1	outof	outof	PROPN
cte-406	73	2	-	-	PUNCT
cte-406	73	3	class	class	NOUN
cte-406	73	4	forms	form	NOUN
cte-406	73	5	of	of	ADP
cte-406	73	6	training	training	NOUN
cte-406	73	7	are	be	AUX
cte-406	73	8	prioritized	prioritize	VERB
cte-406	73	9	,	,	PUNCT
cte-406	73	10	while	while	SCONJ
cte-406	73	11	principles	principle	NOUN
cte-406	73	12	of	of	ADP
cte-406	73	13	independent	independent	ADJ
cte-406	73	14	work	work	NOUN
cte-406	73	15	organization	organization	NOUN
cte-406	73	16	are	be	AUX
cte-406	73	17	becoming	become	VERB
cte-406	73	18	more	more	ADV
cte-406	73	19	extensive	extensive	ADJ
cte-406	73	20	.	.	PUNCT
cte-406	74	1	independent	independent	ADJ
cte-406	74	2	work	work	NOUN
cte-406	74	3	is	be	AUX
cte-406	74	4	a	a	DET
cte-406	74	5	cognitive	cognitive	ADJ
cte-406	74	6	activity	activity	NOUN
cte-406	74	7	associated	associate	VERB
cte-406	74	8	not	not	PART
cte-406	74	9	only	only	ADV
cte-406	74	10	with	with	ADP
cte-406	74	11	knowledge	knowledge	NOUN
cte-406	74	12	acquisition	acquisition	NOUN
cte-406	74	13	,	,	PUNCT
cte-406	74	14	but	but	CCONJ
cte-406	74	15	also	also	ADV
cte-406	74	16	with	with	ADP
cte-406	74	17	practical	practical	ADJ
cte-406	74	18	experience	experience	NOUN
cte-406	74	19	in	in	ADP
cte-406	74	20	the	the	DET
cte-406	74	21	context	context	NOUN
cte-406	74	22	of	of	ADP
cte-406	74	23	competences	competence	NOUN
cte-406	74	24	.	.	PUNCT
cte-406	75	1	the	the	DET
cte-406	75	2	developed	developed	ADJ
cte-406	75	3	course	course	NOUN
cte-406	75	4	considers	consider	VERB
cte-406	75	5	the	the	DET
cte-406	75	6	whole	whole	ADJ
cte-406	75	7	class	class	NOUN
cte-406	75	8	of	of	ADP
cte-406	75	9	conventional	conventional	ADJ
cte-406	75	10	optimization	optimization	NOUN
cte-406	75	11	problems	problem	NOUN
cte-406	75	12	that	that	PRON
cte-406	75	13	vary	vary	VERB
cte-406	75	14	in	in	ADP
cte-406	75	15	their	their	PRON
cte-406	75	16	content	content	NOUN
cte-406	75	17	.	.	PUNCT
cte-406	76	1	they	they	PRON
cte-406	76	2	can	can	AUX
cte-406	76	3	be	be	AUX
cte-406	76	4	associated	associate	VERB
cte-406	76	5	with	with	ADP
cte-406	76	6	designing	designing	NOUN
cte-406	76	7	devices	device	NOUN
cte-406	76	8	and	and	CCONJ
cte-406	76	9	technological	technological	ADJ
cte-406	76	10	processes	process	NOUN
cte-406	76	11	,	,	PUNCT
cte-406	76	12	distributing	distribute	VERB
cte-406	76	13	limited	limited	ADJ
cte-406	76	14	resources	resource	NOUN
cte-406	76	15	and	and	CCONJ
cte-406	76	16	planning	planning	NOUN
cte-406	76	17	business	business	NOUN
cte-406	76	18	functioning	function	VERB
cte-406	76	19	as	as	ADV
cte-406	76	20	well	well	ADV
cte-406	76	21	as	as	ADP
cte-406	76	22	with	with	ADP
cte-406	76	23	everyday	everyday	ADJ
cte-406	76	24	problems	problem	NOUN
cte-406	76	25	of	of	ADP
cte-406	76	26	people	people	NOUN
cte-406	76	27	.	.	PUNCT
cte-406	77	1	devices	device	NOUN
cte-406	77	2	,	,	PUNCT
cte-406	77	3	processes	process	NOUN
cte-406	77	4	and	and	CCONJ
cte-406	77	5	situations	situation	NOUN
cte-406	77	6	to	to	PART
cte-406	77	7	which	which	PRON
cte-406	77	8	a	a	DET
cte-406	77	9	model	model	NOUN
cte-406	77	10	of	of	ADP
cte-406	77	11	optimization	optimization	NOUN
cte-406	77	12	problem	problem	NOUN
cte-406	77	13	is	be	AUX
cte-406	77	14	applied	apply	VERB
cte-406	77	15	are	be	AUX
cte-406	77	16	called	call	VERB
cte-406	77	17	optimization	optimization	NOUN
cte-406	77	18	objects	object	NOUN
cte-406	77	19	.	.	PUNCT
cte-406	78	1	optimization	optimization	NOUN
cte-406	78	2	methods	method	NOUN
cte-406	78	3	enable	enable	VERB
cte-406	78	4	optimal	optimal	ADJ
cte-406	78	5	solutions	solution	NOUN
cte-406	78	6	to	to	ADP
cte-406	78	7	mathematical	mathematical	ADJ
cte-406	78	8	models	model	NOUN
cte-406	78	9	.	.	PUNCT
cte-406	79	1	the	the	DET
cte-406	79	2	developed	developed	ADJ
cte-406	79	3	course	course	NOUN
cte-406	79	4	is	be	AUX
cte-406	79	5	noted	note	VERB
cte-406	79	6	for	for	ADP
cte-406	79	7	building	build	VERB
cte-406	79	8	mathematical	mathematical	ADJ
cte-406	79	9	models	model	NOUN
cte-406	79	10	and	and	CCONJ
cte-406	79	11	defining	define	VERB
cte-406	79	12	the	the	DET
cte-406	79	13	method	method	NOUN
cte-406	79	14	to	to	PART
cte-406	79	15	be	be	AUX
cte-406	79	16	applied	apply	VERB
cte-406	79	17	to	to	ADP
cte-406	79	18	finding	find	VERB
cte-406	79	19	an	an	DET
cte-406	79	20	efficient	efficient	ADJ
cte-406	79	21	solution	solution	NOUN
cte-406	79	22	.	.	PUNCT
cte-406	80	1	the	the	DET
cte-406	80	2	specific	specific	ADJ
cte-406	80	3	feature	feature	NOUN
cte-406	80	4	of	of	ADP
cte-406	80	5	the	the	DET
cte-406	80	6	suggested	suggest	VERB
cte-406	80	7	course	course	NOUN
cte-406	80	8	is	be	AUX
cte-406	80	9	simple	simple	ADJ
cte-406	80	10	presentation	presentation	NOUN
cte-406	80	11	of	of	ADP
cte-406	80	12	the	the	DET
cte-406	80	13	training	training	NOUN
cte-406	80	14	material	material	NOUN
cte-406	80	15	based	base	VERB
cte-406	80	16	on	on	ADP
cte-406	80	17	concrete	concrete	ADJ
cte-406	80	18	examples	example	NOUN
cte-406	80	19	and	and	CCONJ
cte-406	80	20	problems	problem	NOUN
cte-406	80	21	.	.	PUNCT
cte-406	81	1	studying	study	VERB
cte-406	81	2	linear	linear	ADJ
cte-406	81	3	programming	programming	NOUN
cte-406	81	4	by	by	ADP
cte-406	81	5	applying	apply	VERB
cte-406	81	6	mathematical	mathematical	ADJ
cte-406	81	7	materials	material	NOUN
cte-406	81	8	and	and	CCONJ
cte-406	81	9	solving	solve	VERB
cte-406	81	10	optimization	optimization	NOUN
cte-406	81	11	problems	problem	NOUN
cte-406	81	12	which	which	PRON
cte-406	81	13	are	be	AUX
cte-406	81	14	understandable	understandable	ADJ
cte-406	81	15	for	for	SCONJ
cte-406	81	16	senior	senior	ADJ
cte-406	81	17	school	school	NOUN
cte-406	81	18	students	student	NOUN
cte-406	81	19	is	be	AUX
cte-406	81	20	of	of	ADP
cte-406	81	21	particular	particular	ADJ
cte-406	81	22	interest	interest	NOUN
cte-406	81	23	in	in	ADP
cte-406	81	24	this	this	DET
cte-406	81	25	course	course	NOUN
cte-406	81	26	.	.	PUNCT
cte-406	82	1	in	in	ADP
cte-406	82	2	this	this	DET
cte-406	82	3	case	case	NOUN
cte-406	82	4	,	,	PUNCT
cte-406	82	5	optimization	optimization	NOUN
cte-406	82	6	problems	problem	NOUN
cte-406	82	7	are	be	AUX
cte-406	82	8	treated	treat	VERB
cte-406	82	9	as	as	ADP
cte-406	82	10	those	those	PRON
cte-406	82	11	reduced	reduce	VERB
cte-406	82	12	to	to	ADP
cte-406	82	13	finding	find	VERB
cte-406	82	14	the	the	DET
cte-406	82	15	maximum	maximum	NOUN
cte-406	82	16	or	or	CCONJ
cte-406	82	17	the	the	DET
cte-406	82	18	minimum	minimum	ADJ
cte-406	82	19	value	value	NOUN
cte-406	82	20	.	.	PUNCT
cte-406	83	1	these	these	DET
cte-406	83	2	problems	problem	NOUN
cte-406	83	3	are	be	AUX
cte-406	83	4	also	also	ADV
cte-406	83	5	called	call	VERB
cte-406	83	6	extremal	extremal	ADJ
cte-406	83	7	ones	one	NOUN
cte-406	83	8	as	as	ADP
cte-406	83	9	finding	find	VERB
cte-406	83	10	the	the	DET
cte-406	83	11	maximum	maximum	NOUN
cte-406	83	12	and	and	CCONJ
cte-406	83	13	the	the	DET
cte-406	83	14	minimum	minimum	ADJ
cte-406	83	15	value	value	NOUN
cte-406	83	16	is	be	AUX
cte-406	83	17	neither	neither	CCONJ
cte-406	83	18	more	more	ADJ
cte-406	83	19	nor	nor	CCONJ
cte-406	83	20	less	less	ADJ
cte-406	83	21	than	than	ADP
cte-406	83	22	finding	find	VERB
cte-406	83	23	an	an	DET
cte-406	83	24	extremum	extremum	ADJ
cte-406	83	25	–	–	PUNCT
cte-406	83	26	the	the	DET
cte-406	83	27	maximum	maximum	ADJ
cte-406	83	28	or	or	CCONJ
cte-406	83	29	the	the	DET
cte-406	83	30	minimum	minimum	NOUN
cte-406	83	31	of	of	ADP
cte-406	83	32	a	a	DET
cte-406	83	33	function	function	NOUN
cte-406	83	34	.	.	PUNCT
cte-406	84	1	462	462	NUM
cte-406	84	2	cte	cte	NOUN
cte-406	84	3	workshop	workshop	NOUN
cte-406	84	4	proceedings	proceeding	NOUN
cte-406	84	5	,	,	PUNCT
cte-406	84	6	2019	2019	NUM
cte-406	84	7	,	,	PUNCT
cte-406	84	8	vol	vol	NOUN
cte-406	84	9	.	.	PROPN
cte-406	84	10	6	6	NUM
cte-406	84	11	:	:	PUNCT
cte-406	84	12	cte-2018	cte-2018	NOUN
cte-406	84	13	,	,	PUNCT
cte-406	84	14	pp	pp	ADP
cte-406	84	15	.	.	PUNCT
cte-406	85	1	459	459	NUM
cte-406	85	2	-	-	SYM
cte-406	85	3	471	471	NUM
cte-406	85	4	while	while	SCONJ
cte-406	85	5	solving	solve	VERB
cte-406	85	6	such	such	ADJ
cte-406	85	7	problems	problem	NOUN
cte-406	85	8	,	,	PUNCT
cte-406	85	9	scientific	scientific	ADJ
cte-406	85	10	thinking	thinking	NOUN
cte-406	85	11	and	and	CCONJ
cte-406	85	12	the	the	DET
cte-406	85	13	ability	ability	NOUN
cte-406	85	14	to	to	PART
cte-406	85	15	see	see	VERB
cte-406	85	16	a	a	DET
cte-406	85	17	situation	situation	NOUN
cte-406	85	18	as	as	ADP
cte-406	85	19	a	a	DET
cte-406	85	20	whole	whole	NOUN
cte-406	85	21	are	be	AUX
cte-406	85	22	formed	form	VERB
cte-406	85	23	.	.	PUNCT
cte-406	86	1	cognitive	cognitive	ADJ
cte-406	86	2	interests	interest	NOUN
cte-406	86	3	and	and	CCONJ
cte-406	86	4	abilities	ability	NOUN
cte-406	86	5	to	to	PART
cte-406	86	6	find	find	VERB
cte-406	86	7	a	a	DET
cte-406	86	8	way	way	NOUN
cte-406	86	9	out	out	ADP
cte-406	86	10	of	of	ADP
cte-406	86	11	critical	critical	ADJ
cte-406	86	12	situations	situation	NOUN
cte-406	86	13	with	with	ADP
cte-406	86	14	minimum	minimum	ADJ
cte-406	86	15	losses	loss	NOUN
cte-406	86	16	are	be	AUX
cte-406	86	17	also	also	ADV
cte-406	86	18	developed	develop	VERB
cte-406	86	19	.	.	PUNCT
cte-406	87	1	it	it	PRON
cte-406	87	2	is	be	AUX
cte-406	87	3	evident	evident	ADJ
cte-406	87	4	that	that	SCONJ
cte-406	87	5	an	an	DET
cte-406	87	6	employee	employee	NOUN
cte-406	87	7	possessing	possess	VERB
cte-406	87	8	these	these	DET
cte-406	87	9	qualities	quality	NOUN
cte-406	87	10	is	be	AUX
cte-406	87	11	much	much	ADV
cte-406	87	12	more	more	ADV
cte-406	87	13	valuable	valuable	ADJ
cte-406	87	14	for	for	ADP
cte-406	87	15	society	society	NOUN
cte-406	87	16	.	.	PUNCT
cte-406	88	1	basic	basic	ADJ
cte-406	88	2	principles	principle	NOUN
cte-406	88	3	of	of	ADP
cte-406	88	4	optimization	optimization	NOUN
cte-406	88	5	problem	problem	NOUN
cte-406	88	6	solution	solution	NOUN
cte-406	88	7	by	by	ADP
cte-406	88	8	using	use	VERB
cte-406	88	9	computer	computer	NOUN
cte-406	88	10	technologies	technology	NOUN
cte-406	88	11	can	can	AUX
cte-406	88	12	be	be	AUX
cte-406	88	13	taught	teach	VERB
cte-406	88	14	at	at	ADP
cte-406	88	15	informatics	informatics	PROPN
cte-406	88	16	classes	class	NOUN
cte-406	88	17	with	with	ADP
cte-406	88	18	enhanced	enhanced	ADJ
cte-406	88	19	mathematics	mathematic	NOUN
cte-406	88	20	study	study	NOUN
cte-406	88	21	as	as	SCONJ
cte-406	88	22	they	they	PRON
cte-406	88	23	require	require	VERB
cte-406	88	24	fundamental	fundamental	ADJ
cte-406	88	25	mathematical	mathematical	ADJ
cte-406	88	26	training	training	NOUN
cte-406	88	27	.	.	PUNCT
cte-406	89	1	as	as	SCONJ
cte-406	89	2	the	the	DET
cte-406	89	3	range	range	NOUN
cte-406	89	4	of	of	ADP
cte-406	89	5	topics	topic	NOUN
cte-406	89	6	is	be	AUX
cte-406	89	7	very	very	ADV
cte-406	89	8	wide	wide	ADJ
cte-406	89	9	,	,	PUNCT
cte-406	89	10	it	it	PRON
cte-406	89	11	is	be	AUX
cte-406	89	12	reasonable	reasonable	ADJ
cte-406	89	13	to	to	PART
cte-406	89	14	treat	treat	VERB
cte-406	89	15	solving	solve	VERB
cte-406	89	16	even	even	ADV
cte-406	89	17	one	one	NUM
cte-406	89	18	of	of	ADP
cte-406	89	19	them	they	PRON
cte-406	89	20	as	as	ADP
cte-406	89	21	a	a	DET
cte-406	89	22	project	project	NOUN
cte-406	89	23	.	.	PUNCT
cte-406	90	1	let	let	VERB
cte-406	90	2	us	we	PRON
cte-406	90	3	look	look	VERB
cte-406	90	4	into	into	ADP
cte-406	90	5	some	some	DET
cte-406	90	6	variants	variant	NOUN
cte-406	90	7	of	of	ADP
cte-406	90	8	projects	project	NOUN
cte-406	90	9	to	to	PART
cte-406	90	10	be	be	AUX
cte-406	90	11	proposed	propose	VERB
cte-406	90	12	to	to	ADP
cte-406	90	13	students	student	NOUN
cte-406	90	14	within	within	ADP
cte-406	90	15	the	the	DET
cte-406	90	16	optional	optional	ADJ
cte-406	90	17	course	course	NOUN
cte-406	90	18	optimization	optimization	NOUN
cte-406	90	19	problems	problem	NOUN
cte-406	90	20	.	.	PUNCT
cte-406	91	1	first	first	ADV
cte-406	91	2	,	,	PUNCT
cte-406	91	3	students	student	NOUN
cte-406	91	4	should	should	AUX
cte-406	91	5	be	be	AUX
cte-406	91	6	provided	provide	VERB
cte-406	91	7	with	with	ADP
cte-406	91	8	basic	basic	ADJ
cte-406	91	9	algorithms	algorithm	NOUN
cte-406	91	10	in	in	ADP
cte-406	91	11	cocalc	cocalc	NOUN
cte-406	91	12	[	[	X
cte-406	91	13	4	4	NUM
cte-406	91	14	;	;	PUNCT
cte-406	91	15	8	8	NUM
cte-406	91	16	]	]	PUNCT
cte-406	91	17	.	.	PUNCT
cte-406	92	1	while	while	SCONJ
cte-406	92	2	doing	do	VERB
cte-406	92	3	a	a	DET
cte-406	92	4	project	project	NOUN
cte-406	92	5	,	,	PUNCT
cte-406	92	6	students	student	NOUN
cte-406	92	7	get	get	AUX
cte-406	92	8	acquainted	acquaint	VERB
cte-406	92	9	with	with	ADP
cte-406	92	10	methods	method	NOUN
cte-406	92	11	of	of	ADP
cte-406	92	12	optimization	optimization	NOUN
cte-406	92	13	problem	problem	NOUN
cte-406	92	14	solution	solution	NOUN
cte-406	92	15	.	.	PUNCT
cte-406	93	1	one	one	PRON
cte-406	93	2	should	should	AUX
cte-406	93	3	accentuate	accentuate	VERB
cte-406	93	4	the	the	DET
cte-406	93	5	recommendations	recommendation	NOUN
cte-406	93	6	for	for	ADP
cte-406	93	7	improving	improve	VERB
cte-406	93	8	functioning	functioning	NOUN
cte-406	93	9	of	of	ADP
cte-406	93	10	a	a	DET
cte-406	93	11	process	process	NOUN
cte-406	93	12	to	to	PART
cte-406	93	13	be	be	AUX
cte-406	93	14	simulated	simulate	VERB
cte-406	93	15	while	while	SCONJ
cte-406	93	16	discussing	discuss	VERB
cte-406	93	17	project	project	NOUN
cte-406	93	18	results	result	NOUN
cte-406	93	19	.	.	PUNCT
cte-406	94	1	there	there	PRON
cte-406	94	2	are	be	VERB
cte-406	94	3	several	several	ADJ
cte-406	94	4	stages	stage	NOUN
cte-406	94	5	in	in	ADP
cte-406	94	6	teaching	teach	VERB
cte-406	94	7	optimization	optimization	NOUN
cte-406	94	8	problem	problem	NOUN
cte-406	94	9	solution	solution	NOUN
cte-406	94	10	.	.	PUNCT
cte-406	95	1	optimization	optimization	NOUN
cte-406	95	2	problem	problem	NOUN
cte-406	95	3	1	1	NUM
cte-406	95	4	.	.	PUNCT
cte-406	96	1	any	any	DET
cte-406	96	2	port	port	NOUN
cte-406	96	3	in	in	ADP
cte-406	96	4	a	a	DET
cte-406	96	5	storm	storm	NOUN
cte-406	96	6	[	[	X
cte-406	96	7	1	1	NUM
cte-406	96	8	]	]	PUNCT
cte-406	96	9	:	:	PUNCT
cte-406	96	10	there	there	PRON
cte-406	96	11	is	be	VERB
cte-406	96	12	significant	significant	ADJ
cte-406	96	13	danger	danger	NOUN
cte-406	96	14	to	to	ADP
cte-406	96	15	boats	boat	NOUN
cte-406	96	16	caught	catch	VERB
cte-406	96	17	out	out	ADP
cte-406	96	18	in	in	ADP
cte-406	96	19	the	the	DET
cte-406	96	20	open	open	ADJ
cte-406	96	21	sea	sea	NOUN
cte-406	96	22	during	during	ADP
cte-406	96	23	a	a	DET
cte-406	96	24	storm	storm	NOUN
cte-406	96	25	.	.	PUNCT
cte-406	97	1	ideally	ideally	ADV
cte-406	97	2	,	,	PUNCT
cte-406	97	3	boats	boat	NOUN
cte-406	97	4	will	will	AUX
cte-406	97	5	dock	dock	VERB
cte-406	97	6	before	before	SCONJ
cte-406	97	7	the	the	DET
cte-406	97	8	storm	storm	NOUN
cte-406	97	9	hits	hit	VERB
cte-406	97	10	and	and	CCONJ
cte-406	97	11	wait	wait	VERB
cte-406	97	12	it	it	PRON
cte-406	97	13	out	out	ADP
cte-406	97	14	.	.	PUNCT
cte-406	98	1	the	the	DET
cte-406	98	2	map	map	NOUN
cte-406	98	3	above	above	ADP
cte-406	98	4	shows	show	VERB
cte-406	98	5	20	20	NUM
cte-406	98	6	orange	orange	PROPN
cte-406	98	7	boats	boat	NOUN
cte-406	98	8	out	out	ADP
cte-406	98	9	at	at	ADP
cte-406	98	10	sea	sea	NOUN
cte-406	98	11	.	.	PUNCT
cte-406	99	1	with	with	ADP
cte-406	99	2	a	a	DET
cte-406	99	3	storm	storm	NOUN
cte-406	99	4	approaching	approach	VERB
cte-406	99	5	,	,	PUNCT
cte-406	99	6	each	each	DET
cte-406	99	7	boat	boat	NOUN
cte-406	99	8	needs	need	VERB
cte-406	99	9	to	to	PART
cte-406	99	10	be	be	AUX
cte-406	99	11	directed	direct	VERB
cte-406	99	12	to	to	ADP
cte-406	99	13	one	one	NUM
cte-406	99	14	of	of	ADP
cte-406	99	15	three	three	NUM
cte-406	99	16	docks	dock	NOUN
cte-406	99	17	.	.	PUNCT
cte-406	100	1	docks	dock	NOUN
cte-406	100	2	have	have	VERB
cte-406	100	3	a	a	DET
cte-406	100	4	limited	limited	ADJ
cte-406	100	5	number	number	NOUN
cte-406	100	6	of	of	ADP
cte-406	100	7	spaces	space	NOUN
cte-406	100	8	available	available	ADJ
cte-406	100	9	for	for	ADP
cte-406	100	10	boats	boat	NOUN
cte-406	100	11	(	(	PUNCT
cte-406	100	12	indicated	indicate	VERB
cte-406	100	13	by	by	ADP
cte-406	100	14	the	the	DET
cte-406	100	15	rectangular	rectangular	ADJ
cte-406	100	16	spaces	space	NOUN
cte-406	100	17	)	)	PUNCT
cte-406	100	18	.	.	PUNCT
cte-406	101	1	altogether	altogether	ADV
cte-406	101	2	,	,	PUNCT
cte-406	101	3	there	there	PRON
cte-406	101	4	are	be	VERB
cte-406	101	5	20	20	NUM
cte-406	101	6	boat	boat	NOUN
cte-406	101	7	spaces	space	NOUN
cte-406	101	8	available	available	ADJ
cte-406	101	9	.	.	PUNCT
cte-406	102	1	the	the	DET
cte-406	102	2	boats	boat	NOUN
cte-406	102	3	are	be	AUX
cte-406	102	4	clustered	cluster	VERB
cte-406	102	5	into	into	ADP
cte-406	102	6	three	three	NUM
cte-406	102	7	areas	area	NOUN
cte-406	102	8	and	and	CCONJ
cte-406	102	9	each	each	DET
cte-406	102	10	area	area	NOUN
cte-406	102	11	varies	vary	VERB
cte-406	102	12	in	in	ADP
cte-406	102	13	distance	distance	NOUN
cte-406	102	14	to	to	ADP
cte-406	102	15	the	the	DET
cte-406	102	16	docks	dock	NOUN
cte-406	102	17	(	(	PUNCT
cte-406	102	18	as	as	SCONJ
cte-406	102	19	indicated	indicate	VERB
cte-406	102	20	by	by	ADP
cte-406	102	21	the	the	DET
cte-406	102	22	black	black	ADJ
cte-406	102	23	arrows	arrow	NOUN
cte-406	102	24	)	)	PUNCT
cte-406	102	25	.	.	PUNCT
cte-406	103	1	all	all	DET
cte-406	103	2	boats	boat	NOUN
cte-406	103	3	must	must	AUX
cte-406	103	4	be	be	AUX
cte-406	103	5	assigned	assign	VERB
cte-406	103	6	to	to	ADP
cte-406	103	7	one	one	NUM
cte-406	103	8	space	space	NOUN
cte-406	103	9	in	in	ADP
cte-406	103	10	a	a	DET
cte-406	103	11	dock	dock	NOUN
cte-406	103	12	.	.	PUNCT
cte-406	104	1	question	question	NOUN
cte-406	104	2	:	:	PUNCT
cte-406	104	3	what	what	PRON
cte-406	104	4	is	be	AUX
cte-406	104	5	the	the	DET
cte-406	104	6	minimum	minimum	ADJ
cte-406	104	7	possible	possible	ADJ
cte-406	104	8	total	total	ADJ
cte-406	104	9	distance	distance	NOUN
cte-406	104	10	traveled	travel	VERB
cte-406	104	11	by	by	ADP
cte-406	104	12	all	all	DET
cte-406	104	13	boats	boat	NOUN
cte-406	104	14	?	?	PUNCT
cte-406	105	1	more	more	ADV
cte-406	105	2	detailed	detailed	ADJ
cte-406	105	3	information	information	NOUN
cte-406	105	4	is	be	AUX
cte-406	105	5	presented	present	VERB
cte-406	105	6	in	in	ADP
cte-406	105	7	fig	fig	NOUN
cte-406	105	8	.	.	PUNCT
cte-406	106	1	1	1	X
cte-406	106	2	.	.	X
cte-406	106	3	fig	fig	NOUN
cte-406	106	4	.	.	PUNCT
cte-406	107	1	1	1	X
cte-406	107	2	.	.	X
cte-406	107	3	figure	figure	NOUN
cte-406	107	4	to	to	ADP
cte-406	107	5	the	the	DET
cte-406	107	6	optimization	optimization	NOUN
cte-406	107	7	problem	problem	NOUN
cte-406	107	8	1	1	NUM
cte-406	107	9	students	student	NOUN
cte-406	107	10	must	must	AUX
cte-406	107	11	build	build	VERB
cte-406	107	12	a	a	DET
cte-406	107	13	mathematical	mathematical	ADJ
cte-406	107	14	model	model	NOUN
cte-406	107	15	of	of	ADP
cte-406	107	16	the	the	DET
cte-406	107	17	problem	problem	NOUN
cte-406	107	18	.	.	PUNCT
cte-406	108	1	to	to	PART
cte-406	108	2	solve	solve	VERB
cte-406	108	3	the	the	DET
cte-406	108	4	problem	problem	NOUN
cte-406	108	5	we	we	PRON
cte-406	108	6	offer	offer	VERB
cte-406	108	7	students	student	NOUN
cte-406	108	8	the	the	DET
cte-406	108	9	following	follow	VERB
cte-406	108	10	code	code	NOUN
cte-406	108	11	in	in	ADP
cte-406	108	12	cocalc	cocalc	NOUN
cte-406	108	13	[	[	X
cte-406	108	14	8	8	NUM
cte-406	108	15	]	]	PUNCT
cte-406	108	16	:	:	PUNCT
cte-406	108	17	cte	cte	PROPN
cte-406	108	18	workshop	workshop	NOUN
cte-406	108	19	proceedings	proceeding	NOUN
cte-406	108	20	,	,	PUNCT
cte-406	108	21	2019	2019	NUM
cte-406	108	22	,	,	PUNCT
cte-406	108	23	vol	vol	NOUN
cte-406	108	24	.	.	PROPN
cte-406	109	1	6	6	NUM
cte-406	109	2	:	:	PUNCT
cte-406	109	3	cte-2018	cte-2018	NOUN
cte-406	109	4	,	,	PUNCT
cte-406	109	5	pp	pp	ADP
cte-406	109	6	.	.	PUNCT
cte-406	110	1	459	459	NUM
cte-406	110	2	-	-	SYM
cte-406	110	3	471	471	NUM
cte-406	110	4	463	463	NUM
cte-406	110	5	a	a	DET
cte-406	110	6	=	=	NOUN
cte-406	110	7	matrix(qq	matrix(qq	NOUN
cte-406	110	8	,	,	PUNCT
cte-406	110	9	[	[	X
cte-406	110	10	[	[	X
cte-406	110	11	…	…	PUNCT
cte-406	110	12	,	,	PUNCT
cte-406	110	13	…	…	PUNCT
cte-406	110	14	,	,	PUNCT
cte-406	110	15	…	…	PUNCT
cte-406	110	16	]	]	X
cte-406	110	17	,	,	PUNCT
cte-406	110	18	[	[	X
cte-406	110	19	…	…	PUNCT
cte-406	110	20	,	,	PUNCT
cte-406	110	21	…	…	PUNCT
cte-406	110	22	,	,	PUNCT
cte-406	110	23	…	…	PUNCT
cte-406	110	24	]	]	X
cte-406	110	25	]	]	X
cte-406	110	26	,	,	PUNCT
cte-406	110	27	[	[	X
cte-406	110	28	…	…	PUNCT
cte-406	110	29	,	,	PUNCT
cte-406	110	30	…	…	PUNCT
cte-406	110	31	,	,	PUNCT
cte-406	110	32	…	…	PUNCT
cte-406	110	33	]	]	X
cte-406	110	34	]	]	X
cte-406	110	35	)	)	PUNCT
cte-406	110	36	;	;	PUNCT
cte-406	110	37	a	a	DET
cte-406	110	38	m	m	NOUN
cte-406	110	39	=	=	NOUN
cte-406	110	40	a.nrows	a.nrow	NOUN
cte-406	110	41	(	(	PUNCT
cte-406	110	42	)	)	PUNCT
cte-406	110	43	#	#	SYM
cte-406	110	44	p	p	NOUN
cte-406	110	45	n	n	NOUN
cte-406	110	46	=	=	NOUN
cte-406	110	47	a.ncols	a.ncol	NOUN
cte-406	110	48	(	(	PUNCT
cte-406	110	49	)	)	PUNCT
cte-406	110	50	#	#	SYM
cte-406	110	51	q	q	X
cte-406	110	52	isoptimal=0	isoptimal=0	PROPN
cte-406	110	53	isunbounded=0	isunbounded=0	PROPN
cte-406	110	54	xvar=	xvar=	PROPN
cte-406	111	1	[	[	X
cte-406	111	2	]	]	X
cte-406	111	3	tvar=	tvar=	PUNCT
cte-406	111	4	[	[	X
cte-406	111	5	]	]	X
cte-406	111	6	for	for	ADP
cte-406	111	7	i	i	PRON
cte-406	111	8	in	in	ADP
cte-406	111	9	range(n-1	range(n-1	NOUN
cte-406	111	10	):	):	PUNCT
cte-406	111	11	xvar.append('x'+`i+1	xvar.append('x'+`i+1	PROPN
cte-406	111	12	`	`	PUNCT
cte-406	111	13	)	)	PUNCT
cte-406	111	14	for	for	ADP
cte-406	111	15	j	j	PROPN
cte-406	111	16	in	in	ADP
cte-406	111	17	range(m-1	range(m-1	PROPN
cte-406	111	18	):	):	PUNCT
cte-406	111	19	tvar.append('t'+`j+1	tvar.append('t'+`j+1	NOUN
cte-406	111	20	`	`	PUNCT
cte-406	111	21	)	)	PUNCT
cte-406	111	22	p=-1	p=-1	NOUN
cte-406	111	23	q=-1	q=-1	X
cte-406	111	24	isfeasible=1	isfeasible=1	NOUN
cte-406	112	1	problemfeasible=0	problemfeasible=0	NOUN
cte-406	113	1	#	#	SYM
cte-406	113	2	atemp	atemp	NOUN
cte-406	113	3	=	=	NOUN
cte-406	113	4	matrix(qq	matrix(qq	NOUN
cte-406	113	5	,	,	PUNCT
cte-406	113	6	m	m	PROPN
cte-406	113	7	,	,	PUNCT
cte-406	113	8	n	n	CCONJ
cte-406	113	9	)	)	PUNCT
cte-406	113	10	while	while	SCONJ
cte-406	113	11	(	(	PUNCT
cte-406	113	12	isoptimal==0	isoptimal==0	VERB
cte-406	113	13	and	and	CCONJ
cte-406	113	14	isunbounded==0	isunbounded==0	PRON
cte-406	113	15	):	):	PUNCT
cte-406	114	1	isoptimal=1	isoptimal=1	PROPN
cte-406	114	2	isunbounded=1	isunbounded=1	X
cte-406	114	3	isfeasible=1	isfeasible=1	PUNCT
cte-406	114	4	problemfeasible=1	problemfeasible=1	NOUN
cte-406	114	5	p=-1	p=-1	NOUN
cte-406	114	6	q=-1	q=-1	X
cte-406	114	7	#	#	ADJ
cte-406	114	8	checks	check	NOUN
cte-406	114	9	to	to	PART
cte-406	114	10	see	see	VERB
cte-406	114	11	if	if	SCONJ
cte-406	114	12	current	current	ADJ
cte-406	114	13	position	position	NOUN
cte-406	114	14	is	be	AUX
cte-406	114	15	feasible	feasible	ADJ
cte-406	114	16	for	for	ADP
cte-406	114	17	i	i	PROPN
cte-406	114	18	in	in	ADP
cte-406	114	19	range(m-1	range(m-1	PROPN
cte-406	114	20	):	):	PUNCT
cte-406	114	21	if	if	SCONJ
cte-406	114	22	a[i	a[i	PROPN
cte-406	114	23	,	,	PUNCT
cte-406	114	24	n-1]<0	n-1]<0	NOUN
cte-406	114	25	and	and	CCONJ
cte-406	114	26	p<0	p<0	NOUN
cte-406	114	27	:	:	PUNCT
cte-406	115	1	p	p	X
cte-406	115	2	=	=	NOUN
cte-406	115	3	i	i	NOUN
cte-406	115	4	isfeasible=0	isfeasible=0	PROPN
cte-406	115	5	isoptimal=0	isoptimal=0	PROPN
cte-406	115	6	isunbounded=0	isunbounded=0	PROPN
cte-406	115	7	#	#	NOUN
cte-406	115	8	checks	check	VERB
cte-406	115	9	to	to	PART
cte-406	115	10	see	see	VERB
cte-406	115	11	if	if	SCONJ
cte-406	115	12	problem	problem	NOUN
cte-406	115	13	is	be	AUX
cte-406	115	14	feasible	feasible	ADJ
cte-406	115	15	if	if	SCONJ
cte-406	115	16	isfeasible==0	isfeasible==0	VERB
cte-406	115	17	:	:	PUNCT
cte-406	115	18	problemfeasible=0	problemfeasible=0	PROPN
cte-406	115	19	for	for	ADP
cte-406	115	20	k	k	PROPN
cte-406	115	21	in	in	ADP
cte-406	115	22	range(n-1	range(n-1	NOUN
cte-406	115	23	):	):	PUNCT
cte-406	115	24	if	if	SCONJ
cte-406	115	25	a[p	a[p	PROPN
cte-406	115	26	,	,	PUNCT
cte-406	115	27	k]<0	k]<0	PROPN
cte-406	115	28	and	and	CCONJ
cte-406	115	29	q<0	q<0	NOUN
cte-406	115	30	:	:	PUNCT
cte-406	115	31	q	q	X
cte-406	115	32	=	=	X
cte-406	115	33	k	k	X
cte-406	115	34	problemfeasible=1	problemfeasible=1	PROPN
cte-406	115	35	if	if	SCONJ
cte-406	115	36	problemfeasible==0	problemfeasible==0	VERB
cte-406	115	37	:	:	PUNCT
cte-406	115	38	print('the	print('the	DET
cte-406	115	39	problem	problem	NOUN
cte-406	115	40	has	have	VERB
cte-406	115	41	no	no	DET
cte-406	115	42	feasible	feasible	ADJ
cte-406	115	43	solutions	solution	NOUN
cte-406	115	44	'	'	PART
cte-406	115	45	)	)	PUNCT
cte-406	116	1	p	p	X
cte-406	116	2	q	q	X
cte-406	116	3	else	else	ADV
cte-406	116	4	:	:	PUNCT
cte-406	116	5	#	#	SYM
cte-406	116	6	checking	check	VERB
cte-406	116	7	last	last	ADJ
cte-406	116	8	row	row	NOUN
cte-406	116	9	to	to	PART
cte-406	116	10	see	see	VERB
cte-406	116	11	if	if	SCONJ
cte-406	116	12	optimal	optimal	ADJ
cte-406	116	13	(	(	PUNCT
cte-406	116	14	step	step	NOUN
cte-406	116	15	1	1	NUM
cte-406	116	16	)	)	PUNCT
cte-406	116	17	,	,	PUNCT
cte-406	116	18	#	#	PUNCT
cte-406	116	19	it	it	PRON
cte-406	116	20	's	be	AUX
cte-406	116	21	optimal	optimal	ADJ
cte-406	116	22	when	when	SCONJ
cte-406	116	23	all	all	PRON
cte-406	116	24	are	be	AUX
cte-406	116	25	negative	negative	ADJ
cte-406	116	26	for	for	ADP
cte-406	116	27	i	i	PROPN
cte-406	116	28	in	in	ADP
cte-406	116	29	range(n-1	range(n-1	NOUN
cte-406	116	30	):	):	PUNCT
cte-406	116	31	464	464	NUM
cte-406	116	32	cte	cte	NOUN
cte-406	116	33	workshop	workshop	NOUN
cte-406	116	34	proceedings	proceeding	NOUN
cte-406	116	35	,	,	PUNCT
cte-406	116	36	2019	2019	NUM
cte-406	116	37	,	,	PUNCT
cte-406	116	38	vol	vol	NOUN
cte-406	116	39	.	.	PROPN
cte-406	117	1	6	6	NUM
cte-406	117	2	:	:	PUNCT
cte-406	117	3	cte-2018	cte-2018	NOUN
cte-406	117	4	,	,	PUNCT
cte-406	117	5	pp	pp	ADP
cte-406	117	6	.	.	PUNCT
cte-406	118	1	459	459	NUM
cte-406	118	2	-	-	SYM
cte-406	118	3	471	471	NUM
cte-406	118	4	if	if	SCONJ
cte-406	118	5	a[m-1,i]>0	a[m-1,i]>0	ADV
cte-406	118	6	:	:	PUNCT
cte-406	118	7	isoptimal=0	isoptimal=0	VERB
cte-406	118	8	if	if	SCONJ
cte-406	118	9	isoptimal==1	isoptimal==1	PROPN
cte-406	118	10	and	and	CCONJ
cte-406	118	11	isfeasible==1	isfeasible==1	PRON
cte-406	118	12	:	:	PUNCT
cte-406	118	13	print('this	print('this	PRON
cte-406	118	14	is	be	AUX
cte-406	118	15	optimal	optimal	ADJ
cte-406	118	16	,	,	PUNCT
cte-406	118	17	ignore	ignore	VERB
cte-406	118	18	everything	everything	PRON
cte-406	118	19	after	after	ADP
cte-406	118	20	this	this	PRON
cte-406	118	21	'	'	PUNCT
cte-406	118	22	)	)	PUNCT
cte-406	118	23	#	#	ADP
cte-406	118	24	finding	find	VERB
cte-406	118	25	the	the	DET
cte-406	118	26	right	right	NOUN
cte-406	119	1	[	[	X
cte-406	119	2	p	p	X
cte-406	119	3	,	,	PUNCT
cte-406	119	4	q	q	X
cte-406	119	5	]	]	X
cte-406	119	6	to	to	PART
cte-406	119	7	pivot	pivot	NOUN
cte-406	119	8	on	on	ADP
cte-406	119	9	and	and	CCONJ
cte-406	119	10	will	will	AUX
cte-406	119	11	only	only	ADV
cte-406	119	12	#	#	NOUN
cte-406	119	13	pivot	pivot	NOUN
cte-406	119	14	if	if	SCONJ
cte-406	119	15	point	point	NOUN
cte-406	119	16	is	be	AUX
cte-406	119	17	feasible	feasible	ADJ
cte-406	119	18	if	if	SCONJ
cte-406	119	19	isoptimal!=1	isoptimal!=1	PRON
cte-406	119	20	and	and	CCONJ
cte-406	119	21	isfeasible==1	isfeasible==1	NOUN
cte-406	119	22	:	:	PUNCT
cte-406	119	23	q=-1	q=-1	PUNCT
cte-406	119	24	#	#	ADV
cte-406	119	25	finding	find	VERB
cte-406	119	26	position	position	NOUN
cte-406	119	27	q	q	PUNCT
cte-406	119	28	to	to	ADP
cte-406	119	29	pivot	pivot	NOUN
cte-406	119	30	on	on	ADP
cte-406	119	31	for	for	ADP
cte-406	119	32	i	i	PRON
cte-406	119	33	in	in	ADP
cte-406	119	34	range(n-1	range(n-1	NOUN
cte-406	119	35	):	):	PUNCT
cte-406	119	36	if	if	SCONJ
cte-406	119	37	a[m-1,i]>0	a[m-1,i]>0	PROPN
cte-406	119	38	and	and	CCONJ
cte-406	119	39	q<0	q<0	NOUN
cte-406	119	40	:	:	PUNCT
cte-406	119	41	q	q	X
cte-406	119	42	=	=	VERB
cte-406	119	43	i	i	NOUN
cte-406	119	44	;	;	PUNCT
cte-406	119	45	q	q	X
cte-406	119	46	#	#	SYM
cte-406	119	47	checking	check	VERB
cte-406	119	48	column	column	NOUN
cte-406	119	49	q	q	PUNCT
cte-406	119	50	to	to	PART
cte-406	119	51	see	see	VERB
cte-406	119	52	if	if	SCONJ
cte-406	119	53	all	all	PRON
cte-406	119	54	negative	negative	ADJ
cte-406	119	55	(	(	PUNCT
cte-406	119	56	step	step	NOUN
cte-406	119	57	4	4	NUM
cte-406	119	58	)	)	PUNCT
cte-406	119	59	for	for	ADP
cte-406	119	60	k	k	PROPN
cte-406	119	61	in	in	ADP
cte-406	119	62	range(m-1	range(m-1	PROPN
cte-406	119	63	):	):	PUNCT
cte-406	119	64	#	#	SYM
cte-406	119	65	a[k	a[k	NOUN
cte-406	119	66	,	,	PUNCT
cte-406	119	67	q	q	X
cte-406	119	68	]	]	X
cte-406	119	69	if	if	SCONJ
cte-406	119	70	a[k	a[k	PROPN
cte-406	119	71	,	,	PUNCT
cte-406	119	72	q]>0	q]>0	ADV
cte-406	119	73	:	:	PUNCT
cte-406	119	74	isunbounded=0	isunbounded=0	NOUN
cte-406	120	1	if	if	SCONJ
cte-406	120	2	isunbounded==1	isunbounded==1	NOUN
cte-406	120	3	:	:	PUNCT
cte-406	120	4	print('this	print('this	PRON
cte-406	120	5	is	be	AUX
cte-406	120	6	unbounded	unbounded	ADJ
cte-406	120	7	'	'	PUNCT
cte-406	120	8	)	)	PUNCT
cte-406	120	9	p=-1	p=-1	NOUN
cte-406	121	1	#	#	ADP
cte-406	121	2	finding	find	VERB
cte-406	121	3	position	position	NOUN
cte-406	121	4	p	p	NOUN
cte-406	121	5	to	to	ADP
cte-406	121	6	pivot	pivot	NOUN
cte-406	121	7	on	on	ADP
cte-406	121	8	(	(	PUNCT
cte-406	121	9	step	step	NOUN
cte-406	121	10	5	5	NUM
cte-406	121	11	)	)	PUNCT
cte-406	121	12	for	for	ADP
cte-406	121	13	j	j	PROPN
cte-406	121	14	in	in	ADP
cte-406	121	15	range(m-1	range(m-1	PROPN
cte-406	121	16	):	):	PUNCT
cte-406	121	17	if	if	SCONJ
cte-406	121	18	a[j	a[j	ADJ
cte-406	121	19	,	,	PUNCT
cte-406	121	20	q]!=0	q]!=0	ADJ
cte-406	121	21	:	:	PUNCT
cte-406	121	22	if	if	SCONJ
cte-406	121	23	a[j	a[j	NOUN
cte-406	121	24	,	,	PUNCT
cte-406	121	25	n-1]/a[j	n-1]/a[j	ADJ
cte-406	121	26	,	,	PUNCT
cte-406	121	27	q]>=0	q]>=0	NOUN
cte-406	121	28	and	and	CCONJ
cte-406	121	29	a[j	a[j	ADJ
cte-406	121	30	,	,	PUNCT
cte-406	121	31	q]>0	q]>0	X
cte-406	121	32	:	:	PUNCT
cte-406	121	33	if	if	SCONJ
cte-406	121	34	p<0	p<0	NOUN
cte-406	121	35	:	:	PUNCT
cte-406	121	36	p	p	X
cte-406	121	37	=	=	SYM
cte-406	121	38	j	j	PROPN
cte-406	121	39	;	;	PUNCT
cte-406	121	40	p	p	X
cte-406	121	41	if	if	SCONJ
cte-406	121	42	p>=0	p>=0	NOUN
cte-406	121	43	and	and	CCONJ
cte-406	121	44	a[j	a[j	ADJ
cte-406	121	45	,	,	PUNCT
cte-406	121	46	n-1]/a[j	n-1]/a[j	NOUN
cte-406	121	47	,	,	PUNCT
cte-406	121	48	q]<a[p	q]<a[p	NOUN
cte-406	121	49	,	,	PUNCT
cte-406	121	50	n-1]/a[p	n-1]/a[p	PROPN
cte-406	121	51	,	,	PUNCT
cte-406	121	52	q	q	NOUN
cte-406	121	53	]	]	X
cte-406	121	54	:	:	PUNCT
cte-406	121	55	p	p	X
cte-406	121	56	=	=	SYM
cte-406	121	57	j	j	PROPN
cte-406	121	58	;	;	PUNCT
cte-406	121	59	p	p	PROPN
cte-406	121	60	print('pivot	print('pivot	NOUN
cte-406	121	61	on	on	ADP
cte-406	121	62	position	position	NOUN
cte-406	121	63	'	'	PUNCT
cte-406	121	64	)	)	PUNCT
cte-406	122	1	p	p	NOUN
cte-406	122	2	q	q	NOUN
cte-406	123	1	#	#	SYM
cte-406	123	2	the	the	DET
cte-406	123	3	temporary	temporary	ADJ
cte-406	123	4	matrix	matrix	NOUN
cte-406	123	5	pivots	pivot	NOUN
cte-406	123	6	on	on	ADP
cte-406	123	7	[	[	X
cte-406	123	8	p	p	X
cte-406	123	9	,	,	PUNCT
cte-406	123	10	q	q	NOUN
cte-406	123	11	]	]	X
cte-406	123	12	atemp	atemp	NOUN
cte-406	123	13	=	=	NOUN
cte-406	123	14	matrix(qq	matrix(qq	NOUN
cte-406	123	15	,	,	PUNCT
cte-406	123	16	m	m	PROPN
cte-406	123	17	,	,	PUNCT
cte-406	123	18	n	n	CCONJ
cte-406	123	19	)	)	PUNCT
cte-406	123	20	for	for	ADP
cte-406	123	21	i	i	PRON
cte-406	123	22	in	in	ADP
cte-406	123	23	range(m	range(m	NUM
cte-406	123	24	):	):	PUNCT
cte-406	123	25	for	for	ADP
cte-406	123	26	j	j	PROPN
cte-406	123	27	in	in	ADP
cte-406	123	28	range(n	range(n	PROPN
cte-406	123	29	):	):	PUNCT
cte-406	123	30	if	if	SCONJ
cte-406	123	31	i==p	i==p	PROPN
cte-406	123	32	and	and	CCONJ
cte-406	123	33	j==q	j==q	NOUN
cte-406	123	34	:	:	PUNCT
cte-406	123	35	atemp[i	atemp[i	NOUN
cte-406	123	36	,	,	PUNCT
cte-406	123	37	j]=1	j]=1	NOUN
cte-406	123	38	/	/	SYM
cte-406	123	39	a[p	a[p	PROPN
cte-406	123	40	,	,	PUNCT
cte-406	123	41	q	q	X
cte-406	123	42	]	]	X
cte-406	123	43	if	if	SCONJ
cte-406	123	44	i==p	i==p	PROPN
cte-406	123	45	and	and	CCONJ
cte-406	123	46	j!=q	j!=q	PROPN
cte-406	123	47	:	:	PUNCT
cte-406	123	48	atemp[i	atemp[i	PROPN
cte-406	123	49	,	,	PUNCT
cte-406	123	50	j]=a[i	j]=a[i	PROPN
cte-406	123	51	,	,	PUNCT
cte-406	123	52	j]/a[p	j]/a[p	PROPN
cte-406	123	53	,	,	PUNCT
cte-406	123	54	q	q	X
cte-406	123	55	]	]	X
cte-406	123	56	if	if	SCONJ
cte-406	123	57	i!=p	i!=p	PROPN
cte-406	123	58	and	and	CCONJ
cte-406	123	59	j==q	j==q	NOUN
cte-406	123	60	:	:	PUNCT
cte-406	123	61	atemp[i	atemp[i	NOUN
cte-406	123	62	,	,	PUNCT
cte-406	123	63	j]=-1*a[i	j]=-1*a[i	PROPN
cte-406	123	64	,	,	PUNCT
cte-406	123	65	j]/a[p	j]/a[p	PROPN
cte-406	123	66	,	,	PUNCT
cte-406	123	67	q	q	X
cte-406	123	68	]	]	X
cte-406	123	69	cte	cte	NOUN
cte-406	123	70	workshop	workshop	NOUN
cte-406	123	71	proceedings	proceeding	NOUN
cte-406	123	72	,	,	PUNCT
cte-406	123	73	2019	2019	NUM
cte-406	123	74	,	,	PUNCT
cte-406	123	75	vol	vol	NOUN
cte-406	123	76	.	.	PROPN
cte-406	124	1	6	6	NUM
cte-406	124	2	:	:	PUNCT
cte-406	124	3	cte-2018	cte-2018	NOUN
cte-406	124	4	,	,	PUNCT
cte-406	124	5	pp	pp	ADP
cte-406	124	6	.	.	PUNCT
cte-406	125	1	459	459	NUM
cte-406	125	2	-	-	SYM
cte-406	125	3	471	471	NUM
cte-406	125	4	465	465	NUM
cte-406	125	5	if	if	SCONJ
cte-406	125	6	i!=p	i!=p	NOUN
cte-406	125	7	and	and	CCONJ
cte-406	125	8	j!=q	j!=q	NOUN
cte-406	125	9	:	:	PUNCT
cte-406	125	10	atemp[i	atemp[i	PROPN
cte-406	125	11	,	,	PUNCT
cte-406	125	12	j]=(a[i	j]=(a[i	PROPN
cte-406	125	13	,	,	PUNCT
cte-406	125	14	j]*a[p	j]*a[p	PROPN
cte-406	125	15	,	,	PUNCT
cte-406	125	16	q]-a[i	q]-a[i	PROPN
cte-406	125	17	,	,	PUNCT
cte-406	125	18	q]*a[p	q]*a[p	PROPN
cte-406	125	19	,	,	PUNCT
cte-406	125	20	j])/a[p	j])/a[p	PROPN
cte-406	125	21	,	,	PUNCT
cte-406	125	22	q	q	X
cte-406	125	23	]	]	X
cte-406	125	24	xp	xp	PROPN
cte-406	125	25	=	=	PROPN
cte-406	125	26	xvar[q];xp	xvar[q];xp	ADJ
cte-406	125	27	tp	tp	NOUN
cte-406	125	28	=	=	NOUN
cte-406	125	29	tvar[p];tp	tvar[p];tp	PROPN
cte-406	125	30	xvar[q]=tp	xvar[q]=tp	NOUN
cte-406	125	31	tvar[p]=xp	tvar[p]=xp	PROPN
cte-406	125	32	atemp	atemp	VERB
cte-406	125	33	a	a	DET
cte-406	125	34	=	=	NOUN
cte-406	125	35	atemp	atemp	NOUN
cte-406	125	36	xvar	xvar	PROPN
cte-406	125	37	tvar	tvar	NOUN
cte-406	125	38	optimization	optimization	NOUN
cte-406	125	39	problem	problem	NOUN
cte-406	125	40	2	2	NUM
cte-406	125	41	.	.	PUNCT
cte-406	125	42	cell	cell	NOUN
cte-406	125	43	towers	tower	NOUN
cte-406	126	1	[	[	X
cte-406	126	2	3	3	NUM
cte-406	126	3	]	]	X
cte-406	126	4	:	:	PUNCT
cte-406	126	5	as	as	ADP
cte-406	126	6	the	the	DET
cte-406	126	7	head	head	NOUN
cte-406	126	8	of	of	ADP
cte-406	126	9	analytics	analytic	NOUN
cte-406	126	10	for	for	ADP
cte-406	126	11	a	a	DET
cte-406	126	12	cell	cell	NOUN
cte-406	126	13	phone	phone	NOUN
cte-406	126	14	company	company	NOUN
cte-406	126	15	,	,	PUNCT
cte-406	126	16	you	you	PRON
cte-406	126	17	have	have	AUX
cte-406	126	18	been	be	AUX
cte-406	126	19	asked	ask	VERB
cte-406	126	20	to	to	PART
cte-406	126	21	optimize	optimize	VERB
cte-406	126	22	the	the	DET
cte-406	126	23	location	location	NOUN
cte-406	126	24	of	of	ADP
cte-406	126	25	cell	cell	NOUN
cte-406	126	26	towers	tower	NOUN
cte-406	126	27	in	in	ADP
cte-406	126	28	a	a	DET
cte-406	126	29	new	new	ADJ
cte-406	126	30	area	area	NOUN
cte-406	126	31	where	where	SCONJ
cte-406	126	32	your	your	PRON
cte-406	126	33	company	company	NOUN
cte-406	126	34	wants	want	VERB
cte-406	126	35	to	to	PART
cte-406	126	36	provide	provide	VERB
cte-406	126	37	service	service	NOUN
cte-406	126	38	.	.	PUNCT
cte-406	127	1	the	the	DET
cte-406	127	2	new	new	ADJ
cte-406	127	3	area	area	NOUN
cte-406	127	4	is	be	AUX
cte-406	127	5	made	make	VERB
cte-406	127	6	up	up	ADP
cte-406	127	7	of	of	ADP
cte-406	127	8	several	several	ADJ
cte-406	127	9	neighborhoods	neighborhood	NOUN
cte-406	127	10	.	.	PUNCT
cte-406	128	1	each	each	DET
cte-406	128	2	neighborhood	neighborhood	NOUN
cte-406	128	3	is	be	AUX
cte-406	128	4	represented	represent	VERB
cte-406	128	5	by	by	ADP
cte-406	128	6	a	a	DET
cte-406	128	7	black	black	ADJ
cte-406	128	8	house	house	NOUN
cte-406	128	9	icon	icon	NOUN
cte-406	128	10	in	in	ADP
cte-406	128	11	the	the	DET
cte-406	128	12	accompanying	accompany	VERB
cte-406	128	13	image	image	NOUN
cte-406	128	14	.	.	PUNCT
cte-406	129	1	a	a	DET
cte-406	129	2	cell	cell	NOUN
cte-406	129	3	tower	tower	NOUN
cte-406	129	4	can	can	AUX
cte-406	129	5	be	be	AUX
cte-406	129	6	placed	place	VERB
cte-406	129	7	on	on	ADP
cte-406	129	8	any	any	DET
cte-406	129	9	square	square	NOUN
cte-406	129	10	(	(	PUNCT
cte-406	129	11	including	include	VERB
cte-406	129	12	squares	square	NOUN
cte-406	129	13	with	with	ADP
cte-406	129	14	or	or	CCONJ
cte-406	129	15	without	without	ADP
cte-406	129	16	a	a	DET
cte-406	129	17	neighborhood	neighborhood	NOUN
cte-406	129	18	)	)	PUNCT
cte-406	129	19	.	.	PUNCT
cte-406	130	1	once	once	ADV
cte-406	130	2	placed	place	VERB
cte-406	130	3	,	,	PUNCT
cte-406	130	4	a	a	DET
cte-406	130	5	cell	cell	NOUN
cte-406	130	6	tower	tower	NOUN
cte-406	130	7	provides	provide	VERB
cte-406	130	8	service	service	NOUN
cte-406	130	9	to	to	ADP
cte-406	130	10	9	9	NUM
cte-406	130	11	squares	square	NOUN
cte-406	130	12	(	(	PUNCT
cte-406	130	13	the	the	DET
cte-406	130	14	8	8	NUM
cte-406	130	15	adjacent	adjacent	ADJ
cte-406	130	16	squares	square	NOUN
cte-406	130	17	surrounding	surround	VERB
cte-406	130	18	it	it	PRON
cte-406	130	19	and	and	CCONJ
cte-406	130	20	the	the	DET
cte-406	130	21	1	1	NUM
cte-406	130	22	it	it	PRON
cte-406	130	23	sits	sit	VERB
cte-406	130	24	on	on	ADP
cte-406	130	25	)	)	PUNCT
cte-406	130	26	.	.	PUNCT
cte-406	131	1	for	for	ADP
cte-406	131	2	example	example	NOUN
cte-406	131	3	,	,	PUNCT
cte-406	131	4	if	if	SCONJ
cte-406	131	5	you	you	PRON
cte-406	131	6	placed	place	VERB
cte-406	131	7	a	a	DET
cte-406	131	8	cell	cell	NOUN
cte-406	131	9	tower	tower	NOUN
cte-406	131	10	in	in	ADP
cte-406	131	11	b2	b2	NOUN
cte-406	131	12	,	,	PUNCT
cte-406	131	13	it	it	PRON
cte-406	131	14	would	would	AUX
cte-406	131	15	provide	provide	VERB
cte-406	131	16	service	service	NOUN
cte-406	131	17	to	to	ADP
cte-406	131	18	a1	a1	PROPN
cte-406	131	19	,	,	PUNCT
cte-406	131	20	b1	b1	NOUN
cte-406	131	21	,	,	PUNCT
cte-406	131	22	c1	c1	NOUN
cte-406	131	23	,	,	PUNCT
cte-406	131	24	a2	a2	PROPN
cte-406	131	25	,	,	PUNCT
cte-406	131	26	b2	b2	NOUN
cte-406	131	27	,	,	PUNCT
cte-406	131	28	c2	c2	PROPN
cte-406	131	29	,	,	PUNCT
cte-406	131	30	a3	a3	NOUN
cte-406	131	31	,	,	PUNCT
cte-406	131	32	b3	b3	PROPN
cte-406	131	33	,	,	PUNCT
cte-406	131	34	and	and	CCONJ
cte-406	131	35	c3	c3	PROPN
cte-406	131	36	.	.	PUNCT
cte-406	132	1	the	the	DET
cte-406	132	2	company	company	NOUN
cte-406	132	3	recognizes	recognize	VERB
cte-406	132	4	that	that	SCONJ
cte-406	132	5	it	it	PRON
cte-406	132	6	may	may	AUX
cte-406	132	7	not	not	PART
cte-406	132	8	be	be	AUX
cte-406	132	9	worthwhile	worthwhile	ADJ
cte-406	132	10	to	to	PART
cte-406	132	11	cover	cover	VERB
cte-406	132	12	all	all	DET
cte-406	132	13	neighborhoods	neighborhood	NOUN
cte-406	132	14	,	,	PUNCT
cte-406	132	15	so	so	SCONJ
cte-406	132	16	it	it	PRON
cte-406	132	17	has	have	AUX
cte-406	132	18	instructed	instruct	VERB
cte-406	132	19	you	you	PRON
cte-406	132	20	that	that	SCONJ
cte-406	132	21	it	it	PRON
cte-406	132	22	needs	need	VERB
cte-406	132	23	to	to	PART
cte-406	132	24	cover	cover	VERB
cte-406	132	25	only	only	ADV
cte-406	132	26	70	70	NUM
cte-406	132	27	%	%	NOUN
cte-406	132	28	of	of	ADP
cte-406	132	29	the	the	DET
cte-406	132	30	neighborhoods	neighborhood	NOUN
cte-406	132	31	in	in	ADP
cte-406	132	32	the	the	DET
cte-406	132	33	new	new	ADJ
cte-406	132	34	area	area	NOUN
cte-406	132	35	.	.	PUNCT
cte-406	133	1	each	each	DET
cte-406	133	2	cell	cell	NOUN
cte-406	133	3	tower	tower	NOUN
cte-406	133	4	is	be	AUX
cte-406	133	5	expensive	expensive	ADJ
cte-406	133	6	to	to	PART
cte-406	133	7	construct	construct	VERB
cte-406	133	8	and	and	CCONJ
cte-406	133	9	maintain	maintain	VERB
cte-406	133	10	so	so	SCONJ
cte-406	133	11	it	it	PRON
cte-406	133	12	is	be	AUX
cte-406	133	13	in	in	ADP
cte-406	133	14	your	your	PRON
cte-406	133	15	best	good	ADJ
cte-406	133	16	interest	interest	NOUN
cte-406	133	17	to	to	PART
cte-406	133	18	only	only	ADV
cte-406	133	19	use	use	VERB
cte-406	133	20	the	the	DET
cte-406	133	21	minimum	minimum	ADJ
cte-406	133	22	number	number	NOUN
cte-406	133	23	of	of	ADP
cte-406	133	24	cell	cell	NOUN
cte-406	133	25	towers	tower	NOUN
cte-406	133	26	.	.	PUNCT
cte-406	134	1	question	question	NOUN
cte-406	134	2	:	:	PUNCT
cte-406	134	3	what	what	PRON
cte-406	134	4	is	be	AUX
cte-406	134	5	the	the	DET
cte-406	134	6	minimum	minimum	ADJ
cte-406	134	7	number	number	NOUN
cte-406	134	8	of	of	ADP
cte-406	134	9	cell	cell	NOUN
cte-406	134	10	towers	tower	NOUN
cte-406	134	11	needed	need	VERB
cte-406	134	12	to	to	PART
cte-406	134	13	provide	provide	VERB
cte-406	134	14	service	service	NOUN
cte-406	134	15	to	to	ADP
cte-406	134	16	at	at	ADV
cte-406	134	17	least	least	ADV
cte-406	134	18	70	70	NUM
cte-406	134	19	%	%	NOUN
cte-406	134	20	of	of	ADP
cte-406	134	21	the	the	DET
cte-406	134	22	neighborhoods	neighborhood	NOUN
cte-406	134	23	?	?	PUNCT
cte-406	135	1	more	more	ADV
cte-406	135	2	detailed	detailed	ADJ
cte-406	135	3	information	information	NOUN
cte-406	135	4	is	be	AUX
cte-406	135	5	presented	present	VERB
cte-406	135	6	in	in	ADP
cte-406	135	7	fig	fig	NOUN
cte-406	135	8	.	.	PUNCT
cte-406	136	1	2	2	X
cte-406	136	2	.	.	X
cte-406	136	3	fig	fig	NOUN
cte-406	136	4	.	.	PUNCT
cte-406	137	1	2	2	X
cte-406	137	2	.	.	X
cte-406	137	3	figure	figure	NOUN
cte-406	137	4	to	to	ADP
cte-406	137	5	the	the	DET
cte-406	137	6	optimization	optimization	NOUN
cte-406	137	7	problem	problem	NOUN
cte-406	137	8	2	2	NUM
cte-406	137	9	students	student	NOUN
cte-406	137	10	must	must	AUX
cte-406	137	11	build	build	VERB
cte-406	137	12	a	a	DET
cte-406	137	13	mathematical	mathematical	ADJ
cte-406	137	14	model	model	NOUN
cte-406	137	15	of	of	ADP
cte-406	137	16	the	the	DET
cte-406	137	17	problem	problem	NOUN
cte-406	137	18	.	.	PUNCT
cte-406	138	1	to	to	PART
cte-406	138	2	solve	solve	VERB
cte-406	138	3	the	the	DET
cte-406	138	4	problem	problem	NOUN
cte-406	138	5	,	,	PUNCT
cte-406	138	6	we	we	PRON
cte-406	138	7	offer	offer	VERB
cte-406	138	8	students	student	NOUN
cte-406	138	9	the	the	DET
cte-406	138	10	same	same	ADJ
cte-406	138	11	code	code	NOUN
cte-406	138	12	as	as	ADP
cte-406	138	13	in	in	ADP
cte-406	138	14	optimization	optimization	NOUN
cte-406	138	15	problem	problem	NOUN
cte-406	138	16	1	1	NUM
cte-406	138	17	.	.	X
cte-406	138	18	466	466	NUM
cte-406	138	19	cte	cte	NOUN
cte-406	138	20	workshop	workshop	NOUN
cte-406	138	21	proceedings	proceeding	NOUN
cte-406	138	22	,	,	PUNCT
cte-406	138	23	2019	2019	NUM
cte-406	138	24	,	,	PUNCT
cte-406	138	25	vol	vol	NOUN
cte-406	138	26	.	.	PROPN
cte-406	138	27	6	6	NUM
cte-406	138	28	:	:	PUNCT
cte-406	138	29	cte-2018	cte-2018	NOUN
cte-406	138	30	,	,	PUNCT
cte-406	138	31	pp	pp	ADP
cte-406	138	32	.	.	PUNCT
cte-406	139	1	459	459	NUM
cte-406	139	2	-	-	SYM
cte-406	139	3	471	471	NUM
cte-406	139	4	optimization	optimization	NOUN
cte-406	139	5	problem	problem	NOUN
cte-406	139	6	3	3	NUM
cte-406	139	7	.	.	X
cte-406	139	8	for	for	ADP
cte-406	139	9	the	the	DET
cte-406	139	10	project	project	NOUN
cte-406	139	11	,	,	PUNCT
cte-406	139	12	students	student	NOUN
cte-406	139	13	can	can	AUX
cte-406	139	14	be	be	AUX
cte-406	139	15	offered	offer	VERB
cte-406	139	16	the	the	DET
cte-406	139	17	task	task	NOUN
cte-406	139	18	of	of	ADP
cte-406	139	19	finding	find	VERB
cte-406	139	20	the	the	DET
cte-406	139	21	optimal	optimal	ADJ
cte-406	139	22	route	route	NOUN
cte-406	139	23	with	with	ADP
cte-406	139	24	restrictions	restriction	NOUN
cte-406	139	25	.	.	PUNCT
cte-406	140	1	more	more	ADV
cte-406	140	2	detailed	detailed	ADJ
cte-406	140	3	information	information	NOUN
cte-406	140	4	is	be	AUX
cte-406	140	5	presented	present	VERB
cte-406	140	6	in	in	ADP
cte-406	140	7	table	table	NOUN
cte-406	140	8	1	1	NUM
cte-406	140	9	and	and	CCONJ
cte-406	140	10	fig	fig	NOUN
cte-406	140	11	.	.	PUNCT
cte-406	141	1	3	3	X
cte-406	141	2	.	.	X
cte-406	141	3	there	there	PRON
cte-406	141	4	are	be	VERB
cte-406	141	5	a	a	DET
cte-406	141	6	certain	certain	ADJ
cte-406	141	7	number	number	NOUN
cte-406	141	8	of	of	ADP
cte-406	141	9	containers	container	NOUN
cte-406	141	10	in	in	ADP
cte-406	141	11	each	each	DET
cte-406	141	12	quarter	quarter	NOUN
cte-406	141	13	,	,	PUNCT
cte-406	141	14	each	each	PRON
cte-406	141	15	with	with	ADP
cte-406	141	16	a	a	DET
cte-406	141	17	capacity	capacity	NOUN
cte-406	141	18	1,1	1,1	NUM
cte-406	141	19	m3	m3	NOUN
cte-406	141	20	.	.	PUNCT
cte-406	142	1	just	just	ADV
cte-406	142	2	such	such	ADJ
cte-406	142	3	containers	container	NOUN
cte-406	142	4	110	110	NUM
cte-406	142	5	.	.	PUNCT
cte-406	143	1	the	the	DET
cte-406	143	2	following	follow	VERB
cte-406	143	3	additional	additional	ADJ
cte-406	143	4	conditions	condition	NOUN
cte-406	143	5	are	be	AUX
cte-406	143	6	met	meet	VERB
cte-406	143	7	:	:	PUNCT
cte-406	143	8	the	the	DET
cte-406	143	9	volume	volume	NOUN
cte-406	143	10	of	of	ADP
cte-406	143	11	the	the	DET
cte-406	143	12	truck	truck	NOUN
cte-406	143	13	body	body	NOUN
cte-406	143	14	is	be	AUX
cte-406	143	15	limited	limit	VERB
cte-406	143	16	and	and	CCONJ
cte-406	143	17	equal	equal	ADJ
cte-406	143	18	43	43	NUM
cte-406	143	19	m3	m3	PROPN
cte-406	143	20	.	.	PUNCT
cte-406	144	1	the	the	DET
cte-406	144	2	point	point	NOUN
cte-406	144	3	of	of	ADP
cte-406	144	4	departure	departure	NOUN
cte-406	144	5	of	of	ADP
cte-406	144	6	a	a	DET
cte-406	144	7	filled	fill	VERB
cte-406	144	8	truck	truck	NOUN
cte-406	144	9	is	be	AUX
cte-406	144	10	point	point	NOUN
cte-406	144	11	b.	b.	PROPN
cte-406	145	1	the	the	DET
cte-406	145	2	truck	truck	NOUN
cte-406	145	3	starts	start	VERB
cte-406	145	4	its	its	PRON
cte-406	145	5	journey	journey	NOUN
cte-406	145	6	from	from	ADP
cte-406	145	7	base	base	NOUN
cte-406	145	8	to	to	PART
cte-406	145	9	point	point	VERB
cte-406	145	10	a.	a.	NOUN
cte-406	145	11	the	the	DET
cte-406	145	12	following	follow	VERB
cte-406	145	13	flights	flight	NOUN
cte-406	145	14	provide	provide	VERB
cte-406	145	15	a	a	DET
cte-406	145	16	quarterly	quarterly	ADJ
cte-406	145	17	cycle	cycle	NOUN
cte-406	145	18	(	(	PUNCT
cte-406	145	19	from	from	ADP
cte-406	145	20	point	point	NOUN
cte-406	145	21	b	b	NOUN
cte-406	145	22	to	to	PART
cte-406	145	23	point	point	VERB
cte-406	145	24	b	b	NOUN
cte-406	145	25	)	)	PUNCT
cte-406	145	26	.	.	PUNCT
cte-406	146	1	the	the	DET
cte-406	146	2	last	last	ADJ
cte-406	146	3	point	point	NOUN
cte-406	146	4	of	of	ADP
cte-406	146	5	arrival	arrival	NOUN
cte-406	146	6	van	van	NOUN
cte-406	146	7	-	-	PUNCT
cte-406	146	8	tag	tag	NOUN
cte-406	146	9	with	with	ADP
cte-406	146	10	an	an	DET
cte-406	146	11	empty	empty	ADJ
cte-406	146	12	body	body	NOUN
cte-406	146	13	–	–	PUNCT
cte-406	146	14	point	point	NOUN
cte-406	146	15	a.	a.	NOUN
cte-406	146	16	students	student	NOUN
cte-406	146	17	should	should	AUX
cte-406	146	18	independently	independently	ADV
cte-406	146	19	ask	ask	VERB
cte-406	146	20	questions	question	NOUN
cte-406	146	21	and	and	CCONJ
cte-406	146	22	solve	solve	VERB
cte-406	146	23	the	the	DET
cte-406	146	24	problem	problem	NOUN
cte-406	146	25	.	.	PUNCT
cte-406	147	1	table	table	NOUN
cte-406	147	2	1	1	NUM
cte-406	147	3	.	.	PUNCT
cte-406	148	1	the	the	DET
cte-406	148	2	number	number	NOUN
cte-406	148	3	of	of	ADP
cte-406	148	4	containers	container	NOUN
cte-406	148	5	in	in	ADP
cte-406	148	6	the	the	DET
cte-406	148	7	area	area	NOUN
cte-406	148	8	.	.	PUNCT
cte-406	149	1	no	no	DET
cte-406	149	2	number	number	NOUN
cte-406	149	3	of	of	ADP
cte-406	149	4	containers	container	NOUN
cte-406	149	5	no	no	DET
cte-406	149	6	number	number	NOUN
cte-406	149	7	of	of	ADP
cte-406	149	8	containers	container	NOUN
cte-406	149	9	1	1	NUM
cte-406	149	10	4	4	NUM
cte-406	149	11	16	16	NUM
cte-406	149	12	1	1	NUM
cte-406	149	13	2	2	NUM
cte-406	149	14	5	5	NUM
cte-406	149	15	17	17	NUM
cte-406	149	16	3	3	NUM
cte-406	149	17	3	3	NUM
cte-406	149	18	6	6	NUM
cte-406	149	19	18	18	NUM
cte-406	149	20	3	3	NUM
cte-406	149	21	4	4	NUM
cte-406	149	22	4	4	NUM
cte-406	149	23	19	19	NUM
cte-406	149	24	2	2	NUM
cte-406	149	25	5	5	NUM
cte-406	149	26	5	5	NUM
cte-406	149	27	20	20	NUM
cte-406	149	28	4	4	NUM
cte-406	149	29	6	6	NUM
cte-406	149	30	3	3	NUM
cte-406	149	31	21	21	NUM
cte-406	149	32	5	5	NUM
cte-406	149	33	7	7	NUM
cte-406	149	34	2	2	NUM
cte-406	149	35	22	22	NUM
cte-406	149	36	2	2	NUM
cte-406	149	37	8	8	NUM
cte-406	149	38	5	5	NUM
cte-406	149	39	23	23	NUM
cte-406	149	40	6	6	NUM
cte-406	149	41	9	9	NUM
cte-406	149	42	4	4	NUM
cte-406	149	43	24	24	NUM
cte-406	149	44	2	2	NUM
cte-406	149	45	10	10	NUM
cte-406	149	46	3	3	NUM
cte-406	149	47	25	25	NUM
cte-406	149	48	1	1	NUM
cte-406	149	49	11	11	NUM
cte-406	149	50	6	6	NUM
cte-406	149	51	26	26	NUM
cte-406	149	52	1	1	NUM
cte-406	149	53	12	12	NUM
cte-406	149	54	3	3	NUM
cte-406	149	55	27	27	NUM
cte-406	149	56	4	4	NUM
cte-406	149	57	13	13	NUM
cte-406	149	58	3	3	NUM
cte-406	149	59	28	28	NUM
cte-406	149	60	3	3	NUM
cte-406	149	61	14	14	NUM
cte-406	149	62	7	7	NUM
cte-406	149	63	29	29	NUM
cte-406	149	64	5	5	NUM
cte-406	149	65	15	15	NUM
cte-406	149	66	8	8	NUM
cte-406	149	67	to	to	PART
cte-406	149	68	solve	solve	VERB
cte-406	149	69	the	the	DET
cte-406	149	70	problem	problem	NOUN
cte-406	149	71	,	,	PUNCT
cte-406	149	72	we	we	PRON
cte-406	149	73	offer	offer	VERB
cte-406	149	74	students	student	NOUN
cte-406	149	75	the	the	DET
cte-406	149	76	following	follow	VERB
cte-406	149	77	code	code	NOUN
cte-406	149	78	in	in	ADP
cte-406	149	79	cocalc	cocalc	NOUN
cte-406	149	80	:	:	PUNCT
cte-406	149	81	g	g	PROPN
cte-406	149	82	=	=	SYM
cte-406	149	83	graphs.chvatalgraph	graphs.chvatalgraph	X
cte-406	149	84	(	(	PUNCT
cte-406	149	85	)	)	PUNCT
cte-406	149	86	g	g	PROPN
cte-406	149	87	=	=	SYM
cte-406	149	88	g.minimum_outdegree_orientation	g.minimum_outdegree_orientation	NOUN
cte-406	149	89	(	(	PUNCT
cte-406	149	90	)	)	PUNCT
cte-406	149	91	p	p	NOUN
cte-406	149	92	=	=	PROPN
cte-406	149	93	mixedintegerlinearprogram	mixedintegerlinearprogram	PROPN
cte-406	149	94	(	(	PUNCT
cte-406	149	95	)	)	PUNCT
cte-406	149	96	f	f	PROPN
cte-406	150	1	=	=	PUNCT
cte-406	150	2	p.new_variable(real	p.new_variable(real	NOUN
cte-406	151	1	=	=	SYM
cte-406	151	2	true	true	ADJ
cte-406	151	3	,	,	PUNCT
cte-406	151	4	nonnegative	nonnegative	ADJ
cte-406	151	5	=	=	ADJ
cte-406	151	6	true	true	ADJ
cte-406	151	7	)	)	PUNCT
cte-406	151	8	s	s	PROPN
cte-406	151	9	,	,	PUNCT
cte-406	151	10	t	t	NOUN
cte-406	151	11	=	=	SYM
cte-406	151	12	0	0	NUM
cte-406	151	13	,	,	PUNCT
cte-406	151	14	2	2	NUM
cte-406	151	15	for	for	ADP
cte-406	151	16	v	v	NOUN
cte-406	151	17	in	in	ADP
cte-406	151	18	g	g	NOUN
cte-406	151	19	:	:	PUNCT
cte-406	151	20	if	if	SCONJ
cte-406	151	21	v	v	NOUN
cte-406	151	22	!	!	PUNCT
cte-406	152	1	=	=	PRON
cte-406	152	2	s	s	PROPN
cte-406	152	3	and	and	CCONJ
cte-406	152	4	v	v	ADJ
cte-406	152	5	!	!	PUNCT
cte-406	153	1	=	=	SYM
cte-406	153	2	t	t	PROPN
cte-406	153	3	:	:	PUNCT
cte-406	153	4	p.add_constraint	p.add_constraint	ADJ
cte-406	153	5	(	(	PUNCT
cte-406	153	6	sum(f[(v	sum(f[(v	NOUN
cte-406	153	7	,	,	PUNCT
cte-406	153	8	u	u	NOUN
cte-406	153	9	)	)	PUNCT
cte-406	153	10	]	]	PUNCT
cte-406	153	11	for	for	ADP
cte-406	153	12	u	u	PROPN
cte-406	153	13	in	in	ADP
cte-406	153	14	g.neighbors_out(v	g.neighbors_out(v	PROPN
cte-406	153	15	)	)	PUNCT
cte-406	153	16	)	)	PUNCT
cte-406	154	1	sum(f[(u	sum(f[(u	ADP
cte-406	154	2	,	,	PUNCT
cte-406	154	3	v	v	NOUN
cte-406	154	4	)	)	PUNCT
cte-406	154	5	]	]	PUNCT
cte-406	154	6	for	for	ADP
cte-406	154	7	u	u	NOUN
cte-406	154	8	in	in	ADP
cte-406	154	9	g.neighbors_in(v	g.neighbors_in(v	NOUN
cte-406	154	10	)	)	PUNCT
cte-406	154	11	)	)	PUNCT
cte-406	155	1	=	=	PUNCT
cte-406	155	2	=	=	SYM
cte-406	155	3	0	0	NUM
cte-406	155	4	)	)	PUNCT
cte-406	155	5	cte	cte	NOUN
cte-406	155	6	workshop	workshop	NOUN
cte-406	155	7	proceedings	proceeding	NOUN
cte-406	155	8	,	,	PUNCT
cte-406	155	9	2019	2019	NUM
cte-406	155	10	,	,	PUNCT
cte-406	155	11	vol	vol	NOUN
cte-406	155	12	.	.	PROPN
cte-406	155	13	6	6	NUM
cte-406	155	14	:	:	PUNCT
cte-406	155	15	cte-2018	cte-2018	NOUN
cte-406	155	16	,	,	PUNCT
cte-406	155	17	pp	pp	ADP
cte-406	155	18	.	.	PUNCT
cte-406	156	1	459	459	NUM
cte-406	156	2	-	-	SYM
cte-406	156	3	471	471	NUM
cte-406	156	4	467	467	NUM
cte-406	156	5	for	for	ADP
cte-406	156	6	e	e	PROPN
cte-406	156	7	in	in	ADP
cte-406	156	8	g.edges(labels	g.edges(label	NOUN
cte-406	156	9	=	=	ADJ
cte-406	156	10	false	false	ADJ
cte-406	156	11	):	):	PUNCT
cte-406	156	12	p.add_constraint(f[e	p.add_constraint(f[e	PROPN
cte-406	156	13	]	]	PUNCT
cte-406	156	14	<	<	X
cte-406	156	15	=	=	SYM
cte-406	156	16	1	1	NUM
cte-406	156	17	)	)	PUNCT
cte-406	156	18	p.set_objective(sum(f[(s	p.set_objective(sum(f[(	NOUN
cte-406	156	19	,	,	PUNCT
cte-406	156	20	u	u	NOUN
cte-406	156	21	)	)	PUNCT
cte-406	156	22	]	]	PUNCT
cte-406	156	23	for	for	ADP
cte-406	156	24	u	u	NOUN
cte-406	156	25	in	in	ADP
cte-406	156	26	g.neighbors_out(s	g.neighbors_out(s	PROPN
cte-406	156	27	)	)	PUNCT
cte-406	156	28	)	)	PUNCT
cte-406	156	29	)	)	PUNCT
cte-406	157	1	p.solve	p.solve	VERB
cte-406	157	2	(	(	PUNCT
cte-406	157	3	)	)	PUNCT
cte-406	157	4	#	#	NOUN
cte-406	157	5	rel	rel	NOUN
cte-406	157	6	tol	tol	NOUN
cte-406	157	7	2e-11	2e-11	NUM
cte-406	157	8	fig	fig	NOUN
cte-406	157	9	.	.	PUNCT
cte-406	158	1	3	3	X
cte-406	158	2	.	.	X
cte-406	158	3	figure	figure	NOUN
cte-406	158	4	to	to	ADP
cte-406	158	5	the	the	DET
cte-406	158	6	optimization	optimization	NOUN
cte-406	158	7	problem	problem	NOUN
cte-406	158	8	3	3	NUM
cte-406	158	9	stage	stage	NOUN
cte-406	158	10	1	1	NUM
cte-406	158	11	.	.	PUNCT
cte-406	159	1	studying	study	VERB
cte-406	159	2	theoretical	theoretical	ADJ
cte-406	159	3	principles	principle	NOUN
cte-406	159	4	.	.	PUNCT
cte-406	160	1	it	it	PRON
cte-406	160	2	includes	include	VERB
cte-406	160	3	the	the	DET
cte-406	160	4	notion	notion	NOUN
cte-406	160	5	of	of	ADP
cte-406	160	6	an	an	DET
cte-406	160	7	optimization	optimization	NOUN
cte-406	160	8	problem	problem	NOUN
cte-406	160	9	and	and	CCONJ
cte-406	160	10	the	the	DET
cte-406	160	11	necessity	necessity	NOUN
cte-406	160	12	to	to	PART
cte-406	160	13	solve	solve	VERB
cte-406	160	14	such	such	ADJ
cte-406	160	15	problems	problem	NOUN
cte-406	160	16	in	in	ADP
cte-406	160	17	modern	modern	ADJ
cte-406	160	18	life	life	NOUN
cte-406	160	19	.	.	PUNCT
cte-406	161	1	there	there	PRON
cte-406	161	2	are	be	VERB
cte-406	161	3	some	some	DET
cte-406	161	4	problem	problem	NOUN
cte-406	161	5	examples	example	NOUN
cte-406	161	6	provided	provide	VERB
cte-406	161	7	.	.	PUNCT
cte-406	162	1	various	various	ADJ
cte-406	162	2	situations	situation	NOUN
cte-406	162	3	require	require	VERB
cte-406	162	4	absolutely	absolutely	ADV
cte-406	162	5	different	different	ADJ
cte-406	162	6	solutions	solution	NOUN
cte-406	162	7	depending	depend	VERB
cte-406	162	8	on	on	ADP
cte-406	162	9	the	the	DET
cte-406	162	10	chosen	choose	VERB
cte-406	162	11	or	or	CCONJ
cte-406	162	12	set	set	VERB
cte-406	162	13	criterion	criterion	NOUN
cte-406	162	14	.	.	PUNCT
cte-406	163	1	for	for	ADP
cte-406	163	2	example	example	NOUN
cte-406	163	3	,	,	PUNCT
cte-406	163	4	it	it	PRON
cte-406	163	5	is	be	AUX
cte-406	163	6	possible	possible	ADJ
cte-406	163	7	to	to	PART
cte-406	163	8	spend	spend	VERB
cte-406	163	9	50	50	NUM
cte-406	163	10	minutes	minute	NOUN
cte-406	163	11	driving	drive	VERB
cte-406	163	12	from	from	ADP
cte-406	163	13	one	one	NUM
cte-406	163	14	city	city	NOUN
cte-406	163	15	to	to	ADP
cte-406	163	16	another	another	PRON
cte-406	163	17	.	.	PUNCT
cte-406	164	1	but	but	CCONJ
cte-406	164	2	if	if	SCONJ
cte-406	164	3	part	part	NOUN
cte-406	164	4	of	of	ADP
cte-406	164	5	the	the	DET
cte-406	164	6	route	route	NOUN
cte-406	164	7	is	be	AUX
cte-406	164	8	covered	cover	VERB
cte-406	164	9	by	by	ADP
cte-406	164	10	railway	railway	NOUN
cte-406	164	11	and	and	CCONJ
cte-406	164	12	then	then	ADV
cte-406	164	13	by	by	ADP
cte-406	164	14	bus	bus	NOUN
cte-406	164	15	,	,	PUNCT
cte-406	164	16	it	it	PRON
cte-406	164	17	will	will	AUX
cte-406	164	18	take	take	VERB
cte-406	164	19	30	30	NUM
cte-406	164	20	minutes	minute	NOUN
cte-406	164	21	only	only	ADV
cte-406	164	22	.	.	PUNCT
cte-406	165	1	it	it	PRON
cte-406	165	2	is	be	AUX
cte-406	165	3	evident	evident	ADJ
cte-406	165	4	that	that	SCONJ
cte-406	165	5	the	the	DET
cte-406	165	6	latter	latter	ADJ
cte-406	165	7	solution	solution	NOUN
cte-406	165	8	is	be	AUX
cte-406	165	9	better	well	ADJ
cte-406	165	10	if	if	SCONJ
cte-406	165	11	it	it	PRON
cte-406	165	12	is	be	AUX
cte-406	165	13	necessary	necessary	ADJ
cte-406	165	14	to	to	PART
cte-406	165	15	get	get	VERB
cte-406	165	16	to	to	ADP
cte-406	165	17	one	one	NUM
cte-406	165	18	’s	’s	PART
cte-406	165	19	destination	destination	NOUN
cte-406	165	20	in	in	ADP
cte-406	165	21	the	the	DET
cte-406	165	22	shortest	short	ADJ
cte-406	165	23	time	time	NOUN
cte-406	165	24	possible	possible	ADJ
cte-406	165	25	.	.	PUNCT
cte-406	166	1	in	in	ADP
cte-406	166	2	other	other	ADJ
cte-406	166	3	words	word	NOUN
cte-406	166	4	,	,	PUNCT
cte-406	166	5	this	this	DET
cte-406	166	6	solution	solution	NOUN
cte-406	166	7	is	be	AUX
cte-406	166	8	the	the	DET
cte-406	166	9	best	good	ADJ
cte-406	166	10	by	by	ADP
cte-406	166	11	the	the	DET
cte-406	166	12	criterion	criterion	NOUN
cte-406	166	13	of	of	ADP
cte-406	166	14	468	468	NUM
cte-406	166	15	cte	cte	NOUN
cte-406	166	16	workshop	workshop	NOUN
cte-406	166	17	proceedings	proceeding	NOUN
cte-406	166	18	,	,	PUNCT
cte-406	166	19	2019	2019	NUM
cte-406	166	20	,	,	PUNCT
cte-406	166	21	vol	vol	NOUN
cte-406	166	22	.	.	PROPN
cte-406	167	1	6	6	NUM
cte-406	167	2	:	:	PUNCT
cte-406	167	3	cte-2018	cte-2018	NOUN
cte-406	167	4	,	,	PUNCT
cte-406	167	5	pp	pp	ADP
cte-406	167	6	.	.	PUNCT
cte-406	168	1	459	459	NUM
cte-406	168	2	-	-	SYM
cte-406	168	3	471	471	NUM
cte-406	168	4	time	time	NOUN
cte-406	168	5	minimization	minimization	NOUN
cte-406	168	6	.	.	PUNCT
cte-406	169	1	according	accord	VERB
cte-406	169	2	to	to	ADP
cte-406	169	3	another	another	DET
cte-406	169	4	criterion	criterion	NOUN
cte-406	169	5	(	(	PUNCT
cte-406	169	6	for	for	ADP
cte-406	169	7	example	example	NOUN
cte-406	169	8	,	,	PUNCT
cte-406	169	9	reduction	reduction	NOUN
cte-406	169	10	of	of	ADP
cte-406	169	11	expenditures	expenditure	NOUN
cte-406	169	12	or	or	CCONJ
cte-406	169	13	the	the	DET
cte-406	169	14	number	number	NOUN
cte-406	169	15	of	of	ADP
cte-406	169	16	changes	change	NOUN
cte-406	169	17	)	)	PUNCT
cte-406	169	18	,	,	PUNCT
cte-406	169	19	the	the	DET
cte-406	169	20	former	former	ADJ
cte-406	169	21	solution	solution	NOUN
cte-406	169	22	is	be	AUX
cte-406	169	23	better	well	ADJ
cte-406	169	24	.	.	PUNCT
cte-406	170	1	thus	thus	ADV
cte-406	170	2	,	,	PUNCT
cte-406	170	3	to	to	PART
cte-406	170	4	solve	solve	VERB
cte-406	170	5	problems	problem	NOUN
cte-406	170	6	,	,	PUNCT
cte-406	170	7	it	it	PRON
cte-406	170	8	is	be	AUX
cte-406	170	9	essential	essential	ADJ
cte-406	170	10	to	to	PART
cte-406	170	11	analyze	analyze	VERB
cte-406	170	12	quantitative	quantitative	ADJ
cte-406	170	13	parameters	parameter	NOUN
cte-406	170	14	–	–	PUNCT
cte-406	170	15	minimum	minimum	ADJ
cte-406	170	16	expenditures	expenditure	NOUN
cte-406	170	17	,	,	PUNCT
cte-406	170	18	minimum	minimum	ADJ
cte-406	170	19	deviations	deviation	NOUN
cte-406	170	20	from	from	ADP
cte-406	170	21	the	the	DET
cte-406	170	22	standard	standard	ADJ
cte-406	170	23	,	,	PUNCT
cte-406	170	24	maximum	maximum	ADJ
cte-406	170	25	speeds	speed	NOUN
cte-406	170	26	,	,	PUNCT
cte-406	170	27	revenues	revenue	NOUN
cte-406	170	28	,	,	PUNCT
cte-406	170	29	etc	etc	X
cte-406	170	30	.	.	X
cte-406	170	31	stage	stage	NOUN
cte-406	170	32	2	2	NUM
cte-406	170	33	is	be	AUX
cte-406	170	34	studying	study	VERB
cte-406	170	35	the	the	DET
cte-406	170	36	general	general	ADJ
cte-406	170	37	plan	plan	NOUN
cte-406	170	38	of	of	ADP
cte-406	170	39	optimization	optimization	NOUN
cte-406	170	40	problem	problem	NOUN
cte-406	170	41	solution	solution	NOUN
cte-406	170	42	.	.	PUNCT
cte-406	171	1	here	here	ADV
cte-406	171	2	,	,	PUNCT
cte-406	171	3	the	the	DET
cte-406	171	4	notions	notion	NOUN
cte-406	171	5	of	of	ADP
cte-406	171	6	a	a	DET
cte-406	171	7	target	target	NOUN
cte-406	171	8	function	function	NOUN
cte-406	171	9	,	,	PUNCT
cte-406	171	10	admissible	admissible	ADJ
cte-406	171	11	solutions	solution	NOUN
cte-406	171	12	,	,	PUNCT
cte-406	171	13	and	and	CCONJ
cte-406	171	14	the	the	DET
cte-406	171	15	system	system	NOUN
cte-406	171	16	of	of	ADP
cte-406	171	17	limitations	limitation	NOUN
cte-406	171	18	are	be	AUX
cte-406	171	19	introduced	introduce	VERB
cte-406	171	20	.	.	PUNCT
cte-406	172	1	the	the	DET
cte-406	172	2	general	general	ADJ
cte-406	172	3	plan	plan	NOUN
cte-406	172	4	of	of	ADP
cte-406	172	5	optimization	optimization	NOUN
cte-406	172	6	problem	problem	NOUN
cte-406	172	7	solution	solution	NOUN
cte-406	172	8	includes	include	VERB
cte-406	172	9	:	:	PUNCT
cte-406	172	10	─	─	ADJ
cte-406	172	11	investigation	investigation	NOUN
cte-406	172	12	into	into	ADP
cte-406	172	13	an	an	DET
cte-406	172	14	object	object	NOUN
cte-406	172	15	to	to	PART
cte-406	172	16	define	define	VERB
cte-406	172	17	parameters	parameter	NOUN
cte-406	172	18	required	require	VERB
cte-406	172	19	to	to	PART
cte-406	172	20	solve	solve	VERB
cte-406	172	21	the	the	DET
cte-406	172	22	problem	problem	NOUN
cte-406	172	23	;	;	PUNCT
cte-406	172	24	─	─	X
cte-406	172	25	descriptive	descriptive	ADJ
cte-406	172	26	simulation	simulation	NOUN
cte-406	172	27	,	,	PUNCT
cte-406	172	28	i.e.	i.e.	X
cte-406	172	29	determining	determine	VERB
cte-406	172	30	basic	basic	ADJ
cte-406	172	31	connections	connection	NOUN
cte-406	172	32	and	and	CCONJ
cte-406	172	33	dependencies	dependency	NOUN
cte-406	172	34	between	between	ADP
cte-406	172	35	parameters	parameter	NOUN
cte-406	172	36	;	;	PUNCT
cte-406	172	37	─	─	PROPN
cte-406	172	38	mathematical	mathematical	ADJ
cte-406	172	39	simulation	simulation	NOUN
cte-406	172	40	;	;	PUNCT
cte-406	172	41	─	─	X
cte-406	172	42	choice	choice	NOUN
cte-406	172	43	or	or	CCONJ
cte-406	172	44	development	development	NOUN
cte-406	172	45	of	of	ADP
cte-406	172	46	the	the	DET
cte-406	172	47	method	method	NOUN
cte-406	172	48	for	for	ADP
cte-406	172	49	solving	solve	VERB
cte-406	172	50	the	the	DET
cte-406	172	51	problem	problem	NOUN
cte-406	172	52	;	;	PUNCT
cte-406	172	53	─	─	X
cte-406	172	54	computerized	computerized	ADJ
cte-406	172	55	implementation	implementation	NOUN
cte-406	172	56	of	of	ADP
cte-406	172	57	the	the	DET
cte-406	172	58	solution	solution	NOUN
cte-406	172	59	;	;	PUNCT
cte-406	172	60	─	─	PUNCT
cte-406	172	61	analysis	analysis	NOUN
cte-406	172	62	of	of	ADP
cte-406	172	63	the	the	DET
cte-406	172	64	solution	solution	NOUN
cte-406	172	65	obtained	obtain	VERB
cte-406	172	66	.	.	PUNCT
cte-406	173	1	one	one	NUM
cte-406	173	2	of	of	ADP
cte-406	173	3	the	the	DET
cte-406	173	4	problems	problem	NOUN
cte-406	173	5	is	be	AUX
cte-406	173	6	considered	consider	VERB
cte-406	173	7	in	in	ADP
cte-406	173	8	the	the	DET
cte-406	173	9	form	form	NOUN
cte-406	173	10	of	of	ADP
cte-406	173	11	a	a	DET
cte-406	173	12	mathematical	mathematical	ADJ
cte-406	173	13	model	model	NOUN
cte-406	173	14	as	as	ADP
cte-406	173	15	a	a	DET
cte-406	173	16	theoretical	theoretical	ADJ
cte-406	173	17	basis	basis	NOUN
cte-406	173	18	to	to	PART
cte-406	173	19	receive	receive	VERB
cte-406	173	20	practical	practical	ADJ
cte-406	173	21	solutions	solution	NOUN
cte-406	173	22	on	on	ADP
cte-406	173	23	the	the	DET
cte-406	173	24	computer	computer	NOUN
cte-406	173	25	.	.	PUNCT
cte-406	174	1	next	next	ADV
cte-406	174	2	,	,	PUNCT
cte-406	174	3	a	a	DET
cte-406	174	4	practical	practical	ADJ
cte-406	174	5	method	method	NOUN
cte-406	174	6	is	be	AUX
cte-406	174	7	selected	select	VERB
cte-406	174	8	and	and	CCONJ
cte-406	174	9	implemented	implement	VERB
cte-406	174	10	.	.	PUNCT
cte-406	175	1	after	after	ADP
cte-406	175	2	obtaining	obtain	VERB
cte-406	175	3	the	the	DET
cte-406	175	4	result	result	NOUN
cte-406	175	5	,	,	PUNCT
cte-406	175	6	one	one	PRON
cte-406	175	7	should	should	AUX
cte-406	175	8	analyze	analyze	VERB
cte-406	175	9	it	it	PRON
cte-406	175	10	considering	consider	VERB
cte-406	175	11	various	various	ADJ
cte-406	175	12	variants	variant	NOUN
cte-406	175	13	of	of	ADP
cte-406	175	14	optimizing	optimize	VERB
cte-406	175	15	the	the	DET
cte-406	175	16	process	process	NOUN
cte-406	175	17	by	by	ADP
cte-406	175	18	the	the	DET
cte-406	175	19	ready	ready	ADV
cte-406	175	20	-	-	PUNCT
cte-406	175	21	made	make	VERB
cte-406	175	22	algorithm	algorithm	NOUN
cte-406	175	23	with	with	ADP
cte-406	175	24	initial	initial	ADJ
cte-406	175	25	data	datum	NOUN
cte-406	175	26	changed	change	VERB
cte-406	175	27	.	.	PUNCT
cte-406	176	1	stage	stage	NOUN
cte-406	176	2	3	3	NUM
cte-406	176	3	.	.	PUNCT
cte-406	176	4	theoretical	theoretical	ADJ
cte-406	176	5	and	and	CCONJ
cte-406	176	6	practical	practical	ADJ
cte-406	176	7	implementation	implementation	NOUN
cte-406	176	8	of	of	ADP
cte-406	176	9	solving	solve	VERB
cte-406	176	10	any	any	DET
cte-406	176	11	optimization	optimization	NOUN
cte-406	176	12	problem	problem	NOUN
cte-406	176	13	by	by	ADP
cte-406	176	14	applying	apply	VERB
cte-406	176	15	systems	system	NOUN
cte-406	176	16	of	of	ADP
cte-406	176	17	computer	computer	NOUN
cte-406	176	18	mathematics	mathematic	NOUN
cte-406	176	19	or	or	CCONJ
cte-406	176	20	other	other	ADJ
cte-406	176	21	tools	tool	NOUN
cte-406	176	22	.	.	PUNCT
cte-406	177	1	the	the	DET
cte-406	177	2	ability	ability	NOUN
cte-406	177	3	to	to	PART
cte-406	177	4	solve	solve	VERB
cte-406	177	5	optimization	optimization	NOUN
cte-406	177	6	problems	problem	NOUN
cte-406	177	7	is	be	AUX
cte-406	177	8	essential	essential	ADJ
cte-406	177	9	for	for	ADP
cte-406	177	10	modern	modern	ADJ
cte-406	177	11	people	people	NOUN
cte-406	177	12	.	.	PUNCT
cte-406	178	1	this	this	PRON
cte-406	178	2	should	should	AUX
cte-406	178	3	be	be	AUX
cte-406	178	4	taught	teach	VERB
cte-406	178	5	.	.	PUNCT
cte-406	179	1	introduction	introduction	NOUN
cte-406	179	2	of	of	ADP
cte-406	179	3	the	the	DET
cte-406	179	4	project	project	NOUN
cte-406	179	5	course	course	NOUN
cte-406	179	6	optimization	optimization	NOUN
cte-406	179	7	problem	problem	NOUN
cte-406	179	8	could	could	AUX
cte-406	179	9	be	be	AUX
cte-406	179	10	a	a	DET
cte-406	179	11	way	way	NOUN
cte-406	179	12	out	out	ADP
cte-406	179	13	.	.	PUNCT
cte-406	180	1	if	if	SCONJ
cte-406	180	2	the	the	DET
cte-406	180	3	current	current	ADJ
cte-406	180	4	variant	variant	NOUN
cte-406	180	5	of	of	ADP
cte-406	180	6	training	training	NOUN
cte-406	180	7	is	be	AUX
cte-406	180	8	used	use	VERB
cte-406	180	9	without	without	ADP
cte-406	180	10	any	any	DET
cte-406	180	11	chance	chance	NOUN
cte-406	180	12	of	of	ADP
cte-406	180	13	introducing	introduce	VERB
cte-406	180	14	an	an	DET
cte-406	180	15	optional	optional	ADJ
cte-406	180	16	course	course	NOUN
cte-406	180	17	like	like	ADP
cte-406	180	18	this	this	PRON
cte-406	180	19	,	,	PUNCT
cte-406	180	20	the	the	DET
cte-406	180	21	work	work	NOUN
cte-406	180	22	can	can	AUX
cte-406	180	23	be	be	AUX
cte-406	180	24	organized	organize	VERB
cte-406	180	25	as	as	SCONJ
cte-406	180	26	follows	follow	VERB
cte-406	180	27	.	.	PUNCT
cte-406	181	1	mathematical	mathematical	ADJ
cte-406	181	2	models	model	NOUN
cte-406	181	3	can	can	AUX
cte-406	181	4	be	be	AUX
cte-406	181	5	created	create	VERB
cte-406	181	6	at	at	ADP
cte-406	181	7	mathematics	mathematic	NOUN
cte-406	181	8	classes	class	NOUN
cte-406	181	9	,	,	PUNCT
cte-406	181	10	while	while	SCONJ
cte-406	181	11	algorithms	algorithm	NOUN
cte-406	181	12	of	of	ADP
cte-406	181	13	solving	solve	VERB
cte-406	181	14	these	these	DET
cte-406	181	15	problems	problem	NOUN
cte-406	181	16	by	by	ADP
cte-406	181	17	means	mean	NOUN
cte-406	181	18	of	of	ADP
cte-406	181	19	cocalc	cocalc	NOUN
cte-406	181	20	can	can	AUX
cte-406	181	21	be	be	AUX
cte-406	181	22	implemented	implement	VERB
cte-406	181	23	at	at	ADP
cte-406	181	24	informatics	informatic	NOUN
cte-406	181	25	classes	class	NOUN
cte-406	181	26	.	.	PUNCT
cte-406	182	1	abilities	ability	NOUN
cte-406	182	2	acquired	acquire	VERB
cte-406	182	3	through	through	ADP
cte-406	182	4	studying	study	VERB
cte-406	182	5	under	under	ADP
cte-406	182	6	this	this	DET
cte-406	182	7	mode	mode	NOUN
cte-406	182	8	will	will	AUX
cte-406	182	9	help	help	VERB
cte-406	182	10	students	student	NOUN
cte-406	182	11	become	become	VERB
cte-406	182	12	successful	successful	ADJ
cte-406	182	13	in	in	ADP
cte-406	182	14	new	new	ADJ
cte-406	182	15	social	social	ADJ
cte-406	182	16	conditions	condition	NOUN
cte-406	182	17	.	.	PUNCT
cte-406	183	1	the	the	DET
cte-406	183	2	course	course	NOUN
cte-406	183	3	programme	programme	NOUN
cte-406	183	4	was	be	AUX
cte-406	183	5	based	base	VERB
cte-406	183	6	on	on	ADP
cte-406	183	7	existing	exist	VERB
cte-406	183	8	programmes	programme	NOUN
cte-406	183	9	of	of	ADP
cte-406	183	10	optional	optional	ADJ
cte-406	183	11	courses	course	NOUN
cte-406	183	12	of	of	ADP
cte-406	183	13	similar	similar	ADJ
cte-406	183	14	character	character	NOUN
cte-406	183	15	as	as	ADV
cte-406	183	16	well	well	ADV
cte-406	183	17	as	as	ADP
cte-406	183	18	teaching	teach	VERB
cte-406	183	19	aids	aid	NOUN
cte-406	183	20	and	and	CCONJ
cte-406	183	21	programmes	programme	NOUN
cte-406	183	22	of	of	ADP
cte-406	183	23	optional	optional	ADJ
cte-406	183	24	courses	course	NOUN
cte-406	183	25	.	.	PUNCT
cte-406	184	1	the	the	DET
cte-406	184	2	developed	developed	ADJ
cte-406	184	3	course	course	NOUN
cte-406	184	4	is	be	AUX
cte-406	184	5	connected	connect	VERB
cte-406	184	6	with	with	ADP
cte-406	184	7	secondary	secondary	ADJ
cte-406	184	8	school	school	NOUN
cte-406	184	9	basic	basic	ADJ
cte-406	184	10	courses	course	NOUN
cte-406	184	11	of	of	ADP
cte-406	184	12	mathematics	mathematic	NOUN
cte-406	184	13	(	(	PUNCT
cte-406	184	14	sections	section	NOUN
cte-406	184	15	linear	linear	ADJ
cte-406	184	16	equations	equation	NOUN
cte-406	184	17	and	and	CCONJ
cte-406	184	18	inequities	inequity	NOUN
cte-406	184	19	,	,	PUNCT
cte-406	184	20	solution	solution	NOUN
cte-406	184	21	of	of	ADP
cte-406	184	22	systems	system	NOUN
cte-406	184	23	of	of	ADP
cte-406	184	24	linear	linear	PROPN
cte-406	184	25	equations	equation	NOUN
cte-406	184	26	and	and	CCONJ
cte-406	184	27	inequities	inequity	NOUN
cte-406	184	28	)	)	PUNCT
cte-406	184	29	and	and	CCONJ
cte-406	184	30	informatics	informatic	NOUN
cte-406	184	31	(	(	PUNCT
cte-406	184	32	mathematical	mathematical	ADJ
cte-406	184	33	simulation	simulation	NOUN
cte-406	184	34	,	,	PUNCT
cte-406	184	35	spreadsheets	spreadsheet	NOUN
cte-406	184	36	)	)	PUNCT
cte-406	184	37	.	.	PUNCT
cte-406	185	1	the	the	DET
cte-406	185	2	developed	developed	ADJ
cte-406	185	3	course	course	NOUN
cte-406	185	4	is	be	AUX
cte-406	185	5	aimed	aim	VERB
cte-406	185	6	at	at	ADP
cte-406	185	7	theoretical	theoretical	ADJ
cte-406	185	8	and	and	CCONJ
cte-406	185	9	practical	practical	ADJ
cte-406	185	10	study	study	NOUN
cte-406	185	11	of	of	ADP
cte-406	185	12	basic	basic	ADJ
cte-406	185	13	notions	notion	NOUN
cte-406	185	14	and	and	CCONJ
cte-406	185	15	methods	method	NOUN
cte-406	185	16	of	of	ADP
cte-406	185	17	optimization	optimization	NOUN
cte-406	185	18	as	as	ADV
cte-406	185	19	well	well	ADV
cte-406	185	20	as	as	ADP
cte-406	185	21	basic	basic	ADJ
cte-406	185	22	principles	principle	NOUN
cte-406	185	23	of	of	ADP
cte-406	185	24	the	the	DET
cte-406	185	25	decision	decision	NOUN
cte-406	185	26	making	make	VERB
cte-406	185	27	theory	theory	NOUN
cte-406	185	28	to	to	PART
cte-406	185	29	form	form	VERB
cte-406	185	30	students	student	NOUN
cte-406	185	31	’	'	PUNCT
cte-406	185	32	ideas	idea	NOUN
cte-406	185	33	of	of	ADP
cte-406	185	34	applying	apply	VERB
cte-406	185	35	the	the	DET
cte-406	185	36	mathematical	mathematical	ADJ
cte-406	185	37	apparatus	apparatus	NOUN
cte-406	185	38	to	to	ADP
cte-406	185	39	solving	solve	VERB
cte-406	185	40	problems	problem	NOUN
cte-406	185	41	of	of	ADP
cte-406	185	42	finding	find	VERB
cte-406	185	43	efficient	efficient	ADJ
cte-406	185	44	solutions	solution	NOUN
cte-406	185	45	.	.	PUNCT
cte-406	186	1	while	while	SCONJ
cte-406	186	2	achieving	achieve	VERB
cte-406	186	3	the	the	DET
cte-406	186	4	set	set	NOUN
cte-406	186	5	aim	aim	NOUN
cte-406	186	6	,	,	PUNCT
cte-406	186	7	a	a	DET
cte-406	186	8	number	number	NOUN
cte-406	186	9	of	of	ADP
cte-406	186	10	tasks	task	NOUN
cte-406	186	11	are	be	AUX
cte-406	186	12	solved	solve	VERB
cte-406	186	13	:	:	PUNCT
cte-406	186	14	─	─	PUNCT
cte-406	187	1	getting	get	VERB
cte-406	187	2	students	student	NOUN
cte-406	187	3	acquainted	acquaint	VERB
cte-406	187	4	with	with	ADP
cte-406	187	5	basic	basic	ADJ
cte-406	187	6	principles	principle	NOUN
cte-406	187	7	of	of	ADP
cte-406	187	8	the	the	DET
cte-406	187	9	decision	decision	NOUN
cte-406	187	10	making	make	VERB
cte-406	187	11	theory	theory	NOUN
cte-406	187	12	and	and	CCONJ
cte-406	187	13	optimization	optimization	NOUN
cte-406	187	14	methods	method	NOUN
cte-406	187	15	;	;	PUNCT
cte-406	187	16	─	─	PUNCT
cte-406	187	17	demonstrating	demonstrate	VERB
cte-406	187	18	application	application	NOUN
cte-406	187	19	of	of	ADP
cte-406	187	20	optimization	optimization	NOUN
cte-406	187	21	methods	method	NOUN
cte-406	187	22	to	to	ADP
cte-406	187	23	practical	practical	ADJ
cte-406	187	24	activities	activity	NOUN
cte-406	187	25	;	;	PUNCT
cte-406	187	26	cte	cte	NOUN
cte-406	187	27	workshop	workshop	NOUN
cte-406	187	28	proceedings	proceeding	NOUN
cte-406	187	29	,	,	PUNCT
cte-406	187	30	2019	2019	NUM
cte-406	187	31	,	,	PUNCT
cte-406	187	32	vol	vol	NOUN
cte-406	187	33	.	.	PROPN
cte-406	188	1	6	6	NUM
cte-406	188	2	:	:	PUNCT
cte-406	188	3	cte-2018	cte-2018	NOUN
cte-406	188	4	,	,	PUNCT
cte-406	188	5	pp	pp	ADP
cte-406	188	6	.	.	PUNCT
cte-406	189	1	459	459	NUM
cte-406	189	2	-	-	SYM
cte-406	189	3	471	471	NUM
cte-406	189	4	469	469	NUM
cte-406	189	5	─	─	X
cte-406	189	6	introducing	introduce	VERB
cte-406	189	7	methods	method	NOUN
cte-406	189	8	of	of	ADP
cte-406	189	9	solving	solve	VERB
cte-406	189	10	linear	linear	NOUN
cte-406	189	11	programming	programming	NOUN
cte-406	189	12	problems	problem	NOUN
cte-406	189	13	and	and	CCONJ
cte-406	189	14	their	their	PRON
cte-406	189	15	application	application	NOUN
cte-406	189	16	to	to	ADP
cte-406	189	17	students	student	NOUN
cte-406	189	18	;	;	PUNCT
cte-406	189	19	─	─	X
cte-406	189	20	forming	form	VERB
cte-406	189	21	students	student	NOUN
cte-406	189	22	’	'	PUNCT
cte-406	189	23	abilities	ability	NOUN
cte-406	189	24	of	of	ADP
cte-406	189	25	solving	solve	VERB
cte-406	189	26	decision	decision	NOUN
cte-406	189	27	making	make	VERB
cte-406	189	28	problems	problem	NOUN
cte-406	189	29	by	by	ADP
cte-406	189	30	applying	apply	VERB
cte-406	189	31	studied	study	VERB
cte-406	189	32	optimization	optimization	NOUN
cte-406	189	33	methods	method	NOUN
cte-406	189	34	.	.	PUNCT
cte-406	190	1	the	the	DET
cte-406	190	2	optional	optional	ADJ
cte-406	190	3	course	course	NOUN
cte-406	190	4	optimization	optimization	NOUN
cte-406	190	5	problems	problem	NOUN
cte-406	190	6	comprises	comprise	VERB
cte-406	190	7	35	35	NUM
cte-406	190	8	hours	hour	NOUN
cte-406	190	9	designed	design	VERB
cte-406	190	10	for	for	ADP
cte-406	190	11	a	a	DET
cte-406	190	12	semester	semester	NOUN
cte-406	190	13	.	.	PUNCT
cte-406	191	1	the	the	DET
cte-406	191	2	recommended	recommend	VERB
cte-406	191	3	number	number	NOUN
cte-406	191	4	of	of	ADP
cte-406	191	5	hours	hour	NOUN
cte-406	191	6	per	per	ADP
cte-406	191	7	week	week	NOUN
cte-406	191	8	in	in	ADP
cte-406	191	9	the	the	DET
cte-406	191	10	10th	10th	ADJ
cte-406	191	11	grade	grade	NOUN
cte-406	191	12	is	be	AUX
cte-406	191	13	2	2	NUM
cte-406	191	14	,	,	PUNCT
cte-406	191	15	in	in	ADP
cte-406	191	16	the	the	DET
cte-406	191	17	11th	11th	ADJ
cte-406	191	18	grade	grade	NOUN
cte-406	191	19	–	–	PUNCT
cte-406	191	20	1	1	X
cte-406	191	21	.	.	PUNCT
cte-406	192	1	the	the	DET
cte-406	192	2	course	course	NOUN
cte-406	192	3	consists	consist	VERB
cte-406	192	4	of	of	ADP
cte-406	192	5	two	two	NUM
cte-406	192	6	main	main	ADJ
cte-406	192	7	content	content	NOUN
cte-406	192	8	modules	module	NOUN
cte-406	192	9	:	:	PUNCT
cte-406	193	1	1	1	X
cte-406	193	2	.	.	PUNCT
cte-406	193	3	the	the	DET
cte-406	193	4	role	role	NOUN
cte-406	193	5	of	of	ADP
cte-406	193	6	the	the	DET
cte-406	193	7	theory	theory	NOUN
cte-406	193	8	and	and	CCONJ
cte-406	193	9	methods	method	NOUN
cte-406	193	10	of	of	ADP
cte-406	193	11	decision	decision	NOUN
cte-406	193	12	making	making	NOUN
cte-406	193	13	in	in	ADP
cte-406	193	14	the	the	DET
cte-406	193	15	modern	modern	ADJ
cte-406	193	16	world	world	NOUN
cte-406	193	17	(	(	PUNCT
cte-406	193	18	17	17	NUM
cte-406	193	19	hours	hour	NOUN
cte-406	193	20	)	)	PUNCT
cte-406	193	21	;	;	PUNCT
cte-406	193	22	2	2	X
cte-406	193	23	.	.	PUNCT
cte-406	193	24	linear	linear	ADJ
cte-406	193	25	optimization	optimization	NOUN
cte-406	193	26	(	(	PUNCT
cte-406	193	27	17	17	NUM
cte-406	193	28	hours	hour	NOUN
cte-406	193	29	)	)	PUNCT
cte-406	193	30	.	.	PUNCT
cte-406	194	1	the	the	DET
cte-406	194	2	content	content	NOUN
cte-406	194	3	of	of	ADP
cte-406	194	4	the	the	DET
cte-406	194	5	first	first	ADJ
cte-406	194	6	module	module	NOUN
cte-406	194	7	includes	include	VERB
cte-406	194	8	general	general	ADJ
cte-406	194	9	statement	statement	NOUN
cte-406	194	10	of	of	ADP
cte-406	194	11	the	the	DET
cte-406	194	12	decision	decision	NOUN
cte-406	194	13	making	make	VERB
cte-406	194	14	problem	problem	NOUN
cte-406	194	15	in	in	ADP
cte-406	194	16	various	various	ADJ
cte-406	194	17	spheres	sphere	NOUN
cte-406	194	18	of	of	ADP
cte-406	194	19	human	human	ADJ
cte-406	194	20	activity	activity	NOUN
cte-406	194	21	as	as	ADV
cte-406	194	22	well	well	ADV
cte-406	194	23	as	as	ADP
cte-406	194	24	some	some	DET
cte-406	194	25	decision	decision	NOUN
cte-406	194	26	making	make	VERB
cte-406	194	27	methods	method	NOUN
cte-406	194	28	.	.	PUNCT
cte-406	195	1	presentation	presentation	NOUN
cte-406	195	2	of	of	ADP
cte-406	195	3	theoretical	theoretical	ADJ
cte-406	195	4	materials	material	NOUN
cte-406	195	5	of	of	ADP
cte-406	195	6	this	this	DET
cte-406	195	7	section	section	NOUN
cte-406	195	8	should	should	AUX
cte-406	195	9	be	be	AUX
cte-406	195	10	illustrated	illustrate	VERB
cte-406	195	11	by	by	ADP
cte-406	195	12	concrete	concrete	ADJ
cte-406	195	13	examples	example	NOUN
cte-406	195	14	and	and	CCONJ
cte-406	195	15	problems	problem	NOUN
cte-406	195	16	.	.	PUNCT
cte-406	196	1	this	this	DET
cte-406	196	2	module	module	NOUN
cte-406	196	3	covers	cover	VERB
cte-406	196	4	the	the	DET
cte-406	196	5	following	follow	VERB
cte-406	196	6	topics	topic	NOUN
cte-406	196	7	:	:	PUNCT
cte-406	196	8	─	─	X
cte-406	196	9	the	the	DET
cte-406	196	10	decision	decision	NOUN
cte-406	196	11	making	make	VERB
cte-406	196	12	theory	theory	NOUN
cte-406	196	13	(	(	PUNCT
cte-406	196	14	basic	basic	ADJ
cte-406	196	15	notions	notion	NOUN
cte-406	196	16	and	and	CCONJ
cte-406	196	17	definitions	definition	NOUN
cte-406	196	18	)	)	PUNCT
cte-406	196	19	;	;	PUNCT
cte-406	196	20	─	─	X
cte-406	196	21	the	the	DET
cte-406	196	22	decision	decision	NOUN
cte-406	196	23	making	make	VERB
cte-406	196	24	theory	theory	NOUN
cte-406	196	25	in	in	ADP
cte-406	196	26	economics	economic	NOUN
cte-406	196	27	;	;	PUNCT
cte-406	196	28	─	─	PROPN
cte-406	196	29	mathematical	mathematical	ADJ
cte-406	196	30	simulation	simulation	NOUN
cte-406	196	31	of	of	ADP
cte-406	196	32	decision	decision	NOUN
cte-406	196	33	making	making	NOUN
cte-406	196	34	;	;	PUNCT
cte-406	196	35	─	─	X
cte-406	196	36	collective	collective	ADJ
cte-406	196	37	decision	decision	NOUN
cte-406	196	38	making	making	NOUN
cte-406	196	39	.	.	PUNCT
cte-406	197	1	models	model	NOUN
cte-406	197	2	of	of	ADP
cte-406	197	3	collective	collective	ADJ
cte-406	197	4	choice	choice	NOUN
cte-406	197	5	;	;	PUNCT
cte-406	197	6	─	─	X
cte-406	197	7	decision	decision	NOUN
cte-406	197	8	making	making	NOUN
cte-406	197	9	in	in	ADP
cte-406	197	10	the	the	DET
cte-406	197	11	organization	organization	NOUN
cte-406	197	12	theory	theory	NOUN
cte-406	197	13	.	.	PUNCT
cte-406	198	1	the	the	DET
cte-406	198	2	second	second	ADJ
cte-406	198	3	module	module	NOUN
cte-406	198	4	includes	include	VERB
cte-406	198	5	the	the	DET
cte-406	198	6	most	most	ADV
cte-406	198	7	important	important	ADJ
cte-406	198	8	,	,	PUNCT
cte-406	198	9	yet	yet	CCONJ
cte-406	198	10	at	at	ADP
cte-406	198	11	the	the	DET
cte-406	198	12	same	same	ADJ
cte-406	198	13	time	time	NOUN
cte-406	198	14	,	,	PUNCT
cte-406	198	15	simple	simple	ADJ
cte-406	198	16	section	section	NOUN
cte-406	198	17	of	of	ADP
cte-406	198	18	the	the	DET
cte-406	198	19	decision	decision	NOUN
cte-406	198	20	making	make	VERB
cte-406	198	21	theory	theory	NOUN
cte-406	198	22	–	–	PUNCT
cte-406	198	23	linear	linear	ADJ
cte-406	198	24	programming	programming	NOUN
cte-406	198	25	.	.	PUNCT
cte-406	199	1	it	it	PRON
cte-406	199	2	enables	enable	VERB
cte-406	199	3	students	student	NOUN
cte-406	199	4	to	to	PART
cte-406	199	5	comprehend	comprehend	VERB
cte-406	199	6	applicability	applicability	NOUN
cte-406	199	7	of	of	ADP
cte-406	199	8	systems	system	NOUN
cte-406	199	9	of	of	ADP
cte-406	199	10	linear	linear	PROPN
cte-406	199	11	equations	equation	NOUN
cte-406	199	12	and	and	CCONJ
cte-406	199	13	inequities	inequity	NOUN
cte-406	199	14	,	,	PUNCT
cte-406	199	15	methods	method	NOUN
cte-406	199	16	of	of	ADP
cte-406	199	17	studying	study	VERB
cte-406	199	18	and	and	CCONJ
cte-406	199	19	building	building	NOUN
cte-406	199	20	function	function	NOUN
cte-406	199	21	diagrams	diagram	NOUN
cte-406	199	22	,	,	PUNCT
cte-406	199	23	mathematical	mathematical	ADJ
cte-406	199	24	modules	module	NOUN
cte-406	199	25	of	of	ADP
cte-406	199	26	real	real	ADJ
cte-406	199	27	-	-	PUNCT
cte-406	199	28	life	life	NOUN
cte-406	199	29	objects	object	NOUN
cte-406	199	30	and	and	CCONJ
cte-406	199	31	processes	process	NOUN
cte-406	199	32	to	to	ADP
cte-406	199	33	human	human	ADJ
cte-406	199	34	activity	activity	NOUN
cte-406	199	35	.	.	PUNCT
cte-406	200	1	presentation	presentation	NOUN
cte-406	200	2	of	of	ADP
cte-406	200	3	theoretical	theoretical	ADJ
cte-406	200	4	materials	material	NOUN
cte-406	200	5	of	of	ADP
cte-406	200	6	this	this	DET
cte-406	200	7	section	section	NOUN
cte-406	200	8	should	should	AUX
cte-406	200	9	also	also	ADV
cte-406	200	10	be	be	AUX
cte-406	200	11	illustrated	illustrate	VERB
cte-406	200	12	by	by	ADP
cte-406	200	13	concrete	concrete	ADJ
cte-406	200	14	examples	example	NOUN
cte-406	200	15	and	and	CCONJ
cte-406	200	16	problems	problem	NOUN
cte-406	200	17	.	.	PUNCT
cte-406	201	1	this	this	DET
cte-406	201	2	module	module	NOUN
cte-406	201	3	covers	cover	VERB
cte-406	201	4	the	the	DET
cte-406	201	5	following	follow	VERB
cte-406	201	6	topics	topic	NOUN
cte-406	201	7	:	:	PUNCT
cte-406	201	8	─	─	PUNCT
cte-406	201	9	basic	basic	ADJ
cte-406	201	10	principles	principle	NOUN
cte-406	201	11	of	of	ADP
cte-406	201	12	linear	linear	PROPN
cte-406	201	13	programming	programming	NOUN
cte-406	201	14	;	;	PUNCT
cte-406	201	15	─	─	X
cte-406	201	16	linear	linear	ADJ
cte-406	201	17	optimization	optimization	NOUN
cte-406	201	18	problems	problem	NOUN
cte-406	201	19	;	;	PUNCT
cte-406	201	20	─	─	X
cte-406	201	21	the	the	DET
cte-406	201	22	graphical	graphical	ADJ
cte-406	201	23	method	method	NOUN
cte-406	201	24	of	of	ADP
cte-406	201	25	solving	solve	VERB
cte-406	201	26	linear	linear	ADJ
cte-406	201	27	programming	programming	NOUN
cte-406	201	28	problems	problem	NOUN
cte-406	201	29	;	;	PUNCT
cte-406	201	30	─	─	PUNCT
cte-406	201	31	the	the	DET
cte-406	201	32	simplex	simplex	NOUN
cte-406	201	33	-	-	PUNCT
cte-406	201	34	method	method	NOUN
cte-406	201	35	of	of	ADP
cte-406	201	36	solving	solve	VERB
cte-406	201	37	linear	linear	ADJ
cte-406	201	38	programming	programming	NOUN
cte-406	201	39	problems	problem	NOUN
cte-406	201	40	;	;	PUNCT
cte-406	201	41	─	─	PUNCT
cte-406	201	42	solving	solve	VERB
cte-406	201	43	linear	linear	ADJ
cte-406	201	44	programming	programming	NOUN
cte-406	201	45	problems	problem	NOUN
cte-406	201	46	by	by	ADP
cte-406	201	47	means	mean	NOUN
cte-406	201	48	of	of	ADP
cte-406	201	49	cocalc	cocalc	NOUN
cte-406	201	50	.	.	PUNCT
cte-406	202	1	the	the	DET
cte-406	202	2	suggested	suggest	VERB
cte-406	202	3	programme	programme	NOUN
cte-406	202	4	of	of	ADP
cte-406	202	5	the	the	DET
cte-406	202	6	optional	optional	ADJ
cte-406	202	7	course	course	NOUN
cte-406	202	8	is	be	AUX
cte-406	202	9	of	of	ADP
cte-406	202	10	a	a	DET
cte-406	202	11	rough	rough	ADJ
cte-406	202	12	character	character	NOUN
cte-406	202	13	and	and	CCONJ
cte-406	202	14	open	open	ADJ
cte-406	202	15	to	to	ADP
cte-406	202	16	changes	change	NOUN
cte-406	202	17	to	to	PART
cte-406	202	18	enable	enable	VERB
cte-406	202	19	a	a	DET
cte-406	202	20	teacher	teacher	NOUN
cte-406	202	21	to	to	PART
cte-406	202	22	correct	correct	VERB
cte-406	202	23	and	and	CCONJ
cte-406	202	24	modify	modify	VERB
cte-406	202	25	the	the	DET
cte-406	202	26	course	course	NOUN
cte-406	202	27	depending	depend	VERB
cte-406	202	28	on	on	ADP
cte-406	202	29	the	the	DET
cte-406	202	30	type	type	NOUN
cte-406	202	31	of	of	ADP
cte-406	202	32	an	an	DET
cte-406	202	33	educational	educational	ADJ
cte-406	202	34	institution	institution	NOUN
cte-406	202	35	where	where	SCONJ
cte-406	202	36	the	the	DET
cte-406	202	37	course	course	NOUN
cte-406	202	38	is	be	AUX
cte-406	202	39	taught	teach	VERB
cte-406	202	40	.	.	PUNCT
cte-406	203	1	it	it	PRON
cte-406	203	2	should	should	AUX
cte-406	203	3	be	be	AUX
cte-406	203	4	noted	note	VERB
cte-406	203	5	that	that	SCONJ
cte-406	203	6	the	the	DET
cte-406	203	7	course	course	NOUN
cte-406	203	8	programme	programme	NOUN
cte-406	203	9	includes	include	VERB
cte-406	203	10	some	some	DET
cte-406	203	11	modules	module	NOUN
cte-406	203	12	and	and	CCONJ
cte-406	203	13	topics	topic	NOUN
cte-406	203	14	that	that	PRON
cte-406	203	15	can	can	AUX
cte-406	203	16	be	be	AUX
cte-406	203	17	used	use	VERB
cte-406	203	18	as	as	ADP
cte-406	203	19	independent	independent	ADJ
cte-406	203	20	optional	optional	ADJ
cte-406	203	21	courses	course	NOUN
cte-406	203	22	if	if	SCONJ
cte-406	203	23	their	their	PRON
cte-406	203	24	content	content	NOUN
cte-406	203	25	is	be	AUX
cte-406	203	26	expanded	expand	VERB
cte-406	203	27	.	.	PUNCT
cte-406	204	1	the	the	DET
cte-406	204	2	course	course	NOUN
cte-406	204	3	programme	programme	NOUN
cte-406	204	4	provides	provide	VERB
cte-406	204	5	theoretical	theoretical	ADJ
cte-406	204	6	and	and	CCONJ
cte-406	204	7	practical	practical	ADJ
cte-406	204	8	classes	class	NOUN
cte-406	204	9	and	and	CCONJ
cte-406	204	10	independent	independent	ADJ
cte-406	204	11	work	work	NOUN
cte-406	204	12	(	(	PUNCT
cte-406	204	13	solo	solo	NOUN
cte-406	204	14	work	work	NOUN
cte-406	204	15	on	on	ADP
cte-406	204	16	problem	problem	NOUN
cte-406	204	17	solution	solution	NOUN
cte-406	204	18	)	)	PUNCT
cte-406	204	19	.	.	PUNCT
cte-406	205	1	the	the	DET
cte-406	205	2	distance	distance	NOUN
cte-406	205	3	mode	mode	NOUN
cte-406	205	4	of	of	ADP
cte-406	205	5	training	training	NOUN
cte-406	205	6	is	be	AUX
cte-406	205	7	recommended	recommend	VERB
cte-406	205	8	.	.	PUNCT
cte-406	206	1	470	470	NUM
cte-406	206	2	cte	cte	NOUN
cte-406	206	3	workshop	workshop	NOUN
cte-406	206	4	proceedings	proceeding	NOUN
cte-406	206	5	,	,	PUNCT
cte-406	206	6	2019	2019	NUM
cte-406	206	7	,	,	PUNCT
cte-406	206	8	vol	vol	NOUN
cte-406	206	9	.	.	PROPN
cte-406	206	10	6	6	NUM
cte-406	206	11	:	:	PUNCT
cte-406	206	12	cte-2018	cte-2018	NOUN
cte-406	206	13	,	,	PUNCT
cte-406	206	14	pp	pp	ADP
cte-406	206	15	.	.	PUNCT
cte-406	207	1	459	459	NUM
cte-406	207	2	-	-	SYM
cte-406	207	3	471	471	NUM
cte-406	207	4	after	after	ADP
cte-406	207	5	mastering	master	VERB
cte-406	207	6	the	the	DET
cte-406	207	7	programme	programme	NOUN
cte-406	207	8	material	material	NOUN
cte-406	207	9	,	,	PUNCT
cte-406	207	10	a	a	DET
cte-406	207	11	student	student	NOUN
cte-406	207	12	can	can	AUX
cte-406	207	13	get	get	VERB
cte-406	207	14	an	an	DET
cte-406	207	15	idea	idea	NOUN
cte-406	207	16	of	of	ADP
cte-406	207	17	practical	practical	ADJ
cte-406	207	18	application	application	NOUN
cte-406	207	19	of	of	ADP
cte-406	207	20	the	the	DET
cte-406	207	21	decision	decision	NOUN
cte-406	207	22	making	make	VERB
cte-406	207	23	theory	theory	NOUN
cte-406	207	24	and	and	CCONJ
cte-406	207	25	optimization	optimization	NOUN
cte-406	207	26	methods	method	NOUN
cte-406	207	27	to	to	ADP
cte-406	207	28	everyday	everyday	ADJ
cte-406	207	29	life	life	NOUN
cte-406	207	30	and	and	CCONJ
cte-406	207	31	professional	professional	ADJ
cte-406	207	32	activity	activity	NOUN
cte-406	207	33	.	.	PUNCT
cte-406	208	1	besides	besides	SCONJ
cte-406	208	2	,	,	PUNCT
cte-406	208	3	there	there	PRON
cte-406	208	4	are	be	VERB
cte-406	208	5	the	the	DET
cte-406	208	6	following	follow	VERB
cte-406	208	7	requirements	requirement	NOUN
cte-406	208	8	to	to	ADP
cte-406	208	9	students	student	NOUN
cte-406	208	10	’	’	PART
cte-406	208	11	knowledge	knowledge	NOUN
cte-406	208	12	and	and	CCONJ
cte-406	208	13	abilities	ability	NOUN
cte-406	208	14	to	to	PART
cte-406	208	15	be	be	AUX
cte-406	208	16	formed	form	VERB
cte-406	208	17	after	after	ADP
cte-406	208	18	mastering	master	VERB
cte-406	208	19	the	the	DET
cte-406	208	20	course	course	NOUN
cte-406	208	21	:	:	PUNCT
cte-406	208	22	─	─	PROPN
cte-406	208	23	the	the	DET
cte-406	208	24	student	student	NOUN
cte-406	208	25	knows	know	VERB
cte-406	208	26	basic	basic	ADJ
cte-406	208	27	notions	notion	NOUN
cte-406	208	28	of	of	ADP
cte-406	208	29	the	the	DET
cte-406	208	30	decision	decision	NOUN
cte-406	208	31	making	make	VERB
cte-406	208	32	theory	theory	NOUN
cte-406	208	33	,	,	PUNCT
cte-406	208	34	methods	method	NOUN
cte-406	208	35	of	of	ADP
cte-406	208	36	decision	decision	NOUN
cte-406	208	37	making	making	NOUN
cte-406	208	38	and	and	CCONJ
cte-406	208	39	optimization	optimization	NOUN
cte-406	208	40	,	,	PUNCT
cte-406	208	41	basic	basic	ADJ
cte-406	208	42	problems	problem	NOUN
cte-406	208	43	of	of	ADP
cte-406	208	44	linear	linear	PROPN
cte-406	208	45	programming	programming	NOUN
cte-406	208	46	,	,	PUNCT
cte-406	208	47	the	the	DET
cte-406	208	48	simplexmethod	simplexmethod	NOUN
cte-406	208	49	of	of	ADP
cte-406	208	50	solving	solve	VERB
cte-406	208	51	linear	linear	ADJ
cte-406	208	52	programming	programming	NOUN
cte-406	208	53	problems	problem	NOUN
cte-406	208	54	;	;	PUNCT
cte-406	208	55	─	─	PUNCT
cte-406	208	56	the	the	DET
cte-406	208	57	student	student	NOUN
cte-406	208	58	is	be	AUX
cte-406	208	59	able	able	ADJ
cte-406	208	60	to	to	PART
cte-406	208	61	correctly	correctly	ADV
cte-406	208	62	choose	choose	VERB
cte-406	208	63	a	a	DET
cte-406	208	64	relevant	relevant	ADJ
cte-406	208	65	solving	solving	NOUN
cte-406	208	66	method	method	NOUN
cte-406	208	67	to	to	PART
cte-406	208	68	optimize	optimize	VERB
cte-406	208	69	a	a	DET
cte-406	208	70	problem	problem	NOUN
cte-406	208	71	and	and	CCONJ
cte-406	208	72	implement	implement	VERB
cte-406	208	73	it	it	PRON
cte-406	208	74	;	;	PUNCT
cte-406	208	75	─	─	X
cte-406	208	76	the	the	DET
cte-406	208	77	student	student	NOUN
cte-406	208	78	possesses	possess	VERB
cte-406	208	79	methods	method	NOUN
cte-406	208	80	of	of	ADP
cte-406	208	81	solving	solve	VERB
cte-406	208	82	problems	problem	NOUN
cte-406	208	83	of	of	ADP
cte-406	208	84	linear	linear	PROPN
cte-406	208	85	programming	programming	NOUN
cte-406	208	86	,	,	PUNCT
cte-406	208	87	abilities	ability	NOUN
cte-406	208	88	of	of	ADP
cte-406	208	89	applying	apply	VERB
cte-406	208	90	cocalc	cocalc	NOUN
cte-406	208	91	and	and	CCONJ
cte-406	208	92	modern	modern	ADJ
cte-406	208	93	mathematical	mathematical	ADJ
cte-406	208	94	tools	tool	NOUN
cte-406	208	95	to	to	ADP
cte-406	208	96	solving	solve	VERB
cte-406	208	97	practical	practical	ADJ
cte-406	208	98	problems	problem	NOUN
cte-406	208	99	.	.	PUNCT
cte-406	209	1	3	3	NUM
cte-406	209	2	conclusions	conclusion	NOUN
cte-406	209	3	after	after	ADP
cte-406	209	4	analyzing	analyze	VERB
cte-406	209	5	existing	exist	VERB
cte-406	209	6	programmes	programme	NOUN
cte-406	209	7	of	of	ADP
cte-406	209	8	optional	optional	ADJ
cte-406	209	9	courses	course	NOUN
cte-406	209	10	on	on	ADP
cte-406	209	11	optimization	optimization	NOUN
cte-406	209	12	problems	problem	NOUN
cte-406	209	13	,	,	PUNCT
cte-406	209	14	the	the	DET
cte-406	209	15	programme	programme	NOUN
cte-406	209	16	of	of	ADP
cte-406	209	17	the	the	DET
cte-406	209	18	optional	optional	ADJ
cte-406	209	19	course	course	NOUN
cte-406	209	20	optimization	optimization	NOUN
cte-406	209	21	problems	problem	NOUN
cte-406	209	22	has	have	AUX
cte-406	209	23	been	be	AUX
cte-406	209	24	developed	develop	VERB
cte-406	209	25	and	and	CCONJ
cte-406	209	26	substantiated	substantiated	ADJ
cte-406	209	27	implying	implying	ADJ
cte-406	209	28	solution	solution	NOUN
cte-406	209	29	of	of	ADP
cte-406	209	30	problems	problem	NOUN
cte-406	209	31	by	by	ADP
cte-406	209	32	the	the	DET
cte-406	209	33	cloud	cloud	PROPN
cte-406	209	34	environment	environment	NOUN
cte-406	209	35	cocalc	cocalc	NOUN
cte-406	209	36	.	.	PUNCT
cte-406	210	1	it	it	PRON
cte-406	210	2	is	be	AUX
cte-406	210	3	a	a	DET
cte-406	210	4	routine	routine	ADJ
cte-406	210	5	calculating	calculate	VERB
cte-406	210	6	operation	operation	NOUN
cte-406	210	7	and	and	CCONJ
cte-406	210	8	not	not	PART
cte-406	210	9	a	a	DET
cte-406	210	10	mathematical	mathematical	ADJ
cte-406	210	11	model	model	NOUN
cte-406	210	12	that	that	PRON
cte-406	210	13	is	be	AUX
cte-406	210	14	accentuated	accentuate	VERB
cte-406	210	15	in	in	ADP
cte-406	210	16	the	the	DET
cte-406	210	17	programme	programme	NOUN
cte-406	210	18	.	.	PUNCT
cte-406	211	1	it	it	PRON
cte-406	211	2	allows	allow	VERB
cte-406	211	3	considering	consider	VERB
cte-406	211	4	more	more	ADJ
cte-406	211	5	problems	problem	NOUN
cte-406	211	6	which	which	PRON
cte-406	211	7	are	be	AUX
cte-406	211	8	close	close	ADJ
cte-406	211	9	to	to	ADP
cte-406	211	10	reality	reality	NOUN
cte-406	211	11	without	without	ADP
cte-406	211	12	adapting	adapt	VERB
cte-406	211	13	the	the	DET
cte-406	211	14	material	material	NOUN
cte-406	211	15	while	while	SCONJ
cte-406	211	16	training	train	VERB
cte-406	211	17	10th-11th	10th-11th	NUM
cte-406	211	18	graders	grader	NOUN
cte-406	211	19	.	.	PUNCT
cte-406	212	1	besides	besides	SCONJ
cte-406	212	2	,	,	PUNCT
cte-406	212	3	the	the	DET
cte-406	212	4	mathematical	mathematical	ADJ
cte-406	212	5	apparatus	apparatus	NOUN
cte-406	212	6	of	of	ADP
cte-406	212	7	the	the	DET
cte-406	212	8	course	course	NOUN
cte-406	212	9	which	which	PRON
cte-406	212	10	is	be	AUX
cte-406	212	11	partially	partially	ADV
cte-406	212	12	known	know	VERB
cte-406	212	13	to	to	ADP
cte-406	212	14	students	student	NOUN
cte-406	212	15	as	as	SCONJ
cte-406	212	16	the	the	DET
cte-406	212	17	knowledge	knowledge	NOUN
cte-406	212	18	acquired	acquire	VERB
cte-406	212	19	from	from	ADP
cte-406	212	20	such	such	ADJ
cte-406	212	21	mathematics	mathematic	NOUN
cte-406	212	22	sections	section	NOUN
cte-406	212	23	as	as	ADP
cte-406	212	24	the	the	DET
cte-406	212	25	theory	theory	NOUN
cte-406	212	26	of	of	ADP
cte-406	212	27	probability	probability	NOUN
cte-406	212	28	,	,	PUNCT
cte-406	212	29	mathematical	mathematical	ADJ
cte-406	212	30	statistics	statistic	NOUN
cte-406	212	31	,	,	PUNCT
cte-406	212	32	mathematical	mathematical	ADJ
cte-406	212	33	analysis	analysis	NOUN
cte-406	212	34	and	and	CCONJ
cte-406	212	35	linear	linear	NOUN
cte-406	212	36	algebra	algebra	NOUN
cte-406	212	37	is	be	AUX
cte-406	212	38	enough	enough	ADJ
cte-406	212	39	to	to	PART
cte-406	212	40	master	master	VERB
cte-406	212	41	the	the	DET
cte-406	212	42	suggested	suggest	VERB
cte-406	212	43	course	course	NOUN
cte-406	212	44	.	.	PUNCT
cte-406	213	1	the	the	DET
cte-406	213	2	developed	develop	VERB
cte-406	213	3	course	course	NOUN
cte-406	213	4	deals	deal	VERB
cte-406	213	5	with	with	ADP
cte-406	213	6	a	a	DET
cte-406	213	7	whole	whole	ADJ
cte-406	213	8	class	class	NOUN
cte-406	213	9	of	of	ADP
cte-406	213	10	problems	problem	NOUN
cte-406	213	11	of	of	ADP
cte-406	213	12	conventional	conventional	ADJ
cte-406	213	13	optimization	optimization	NOUN
cte-406	213	14	which	which	PRON
cte-406	213	15	vary	vary	VERB
cte-406	213	16	greatly	greatly	ADV
cte-406	213	17	.	.	PUNCT
cte-406	214	1	they	they	PRON
cte-406	214	2	can	can	AUX
cte-406	214	3	be	be	AUX
cte-406	214	4	associated	associate	VERB
cte-406	214	5	with	with	ADP
cte-406	214	6	designing	designing	NOUN
cte-406	214	7	devices	device	NOUN
cte-406	214	8	and	and	CCONJ
cte-406	214	9	technological	technological	ADJ
cte-406	214	10	processes	process	NOUN
cte-406	214	11	,	,	PUNCT
cte-406	214	12	distributing	distribute	VERB
cte-406	214	13	limited	limited	ADJ
cte-406	214	14	resources	resource	NOUN
cte-406	214	15	and	and	CCONJ
cte-406	214	16	planning	planning	NOUN
cte-406	214	17	business	business	NOUN
cte-406	214	18	functioning	function	VERB
cte-406	214	19	as	as	ADV
cte-406	214	20	well	well	ADV
cte-406	214	21	as	as	ADP
cte-406	214	22	with	with	ADP
cte-406	214	23	everyday	everyday	ADJ
cte-406	214	24	problems	problem	NOUN
cte-406	214	25	of	of	ADP
cte-406	214	26	people	people	NOUN
cte-406	214	27	.	.	PUNCT
cte-406	215	1	devices	device	NOUN
cte-406	215	2	,	,	PUNCT
cte-406	215	3	processes	process	NOUN
cte-406	215	4	and	and	CCONJ
cte-406	215	5	situations	situation	NOUN
cte-406	215	6	to	to	PART
cte-406	215	7	which	which	PRON
cte-406	215	8	a	a	DET
cte-406	215	9	model	model	NOUN
cte-406	215	10	of	of	ADP
cte-406	215	11	optimization	optimization	NOUN
cte-406	215	12	problem	problem	NOUN
cte-406	215	13	is	be	AUX
cte-406	215	14	applied	apply	VERB
cte-406	215	15	are	be	AUX
cte-406	215	16	called	call	VERB
cte-406	215	17	optimization	optimization	NOUN
cte-406	215	18	problems	problem	NOUN
cte-406	215	19	.	.	PUNCT
cte-406	216	1	optimization	optimization	NOUN
cte-406	216	2	methods	method	NOUN
cte-406	216	3	enable	enable	VERB
cte-406	216	4	optimal	optimal	ADJ
cte-406	216	5	solutions	solution	NOUN
cte-406	216	6	for	for	ADP
cte-406	216	7	mathematical	mathematical	ADJ
cte-406	216	8	models	model	NOUN
cte-406	216	9	.	.	PUNCT
cte-406	217	1	the	the	DET
cte-406	217	2	developed	developed	ADJ
cte-406	217	3	course	course	NOUN
cte-406	217	4	is	be	AUX
cte-406	217	5	noted	note	VERB
cte-406	217	6	for	for	ADP
cte-406	217	7	building	build	VERB
cte-406	217	8	mathematical	mathematical	ADJ
cte-406	217	9	models	model	NOUN
cte-406	217	10	and	and	CCONJ
cte-406	217	11	defining	define	VERB
cte-406	217	12	a	a	DET
cte-406	217	13	method	method	NOUN
cte-406	217	14	to	to	PART
cte-406	217	15	be	be	AUX
cte-406	217	16	applied	apply	VERB
cte-406	217	17	to	to	ADP
cte-406	217	18	finding	find	VERB
cte-406	217	19	an	an	DET
cte-406	217	20	efficient	efficient	ADJ
cte-406	217	21	solution	solution	NOUN
cte-406	217	22	.	.	PUNCT
cte-406	218	1	references	reference	NOUN
cte-406	218	2	1	1	NUM
cte-406	218	3	.	.	PUNCT
cte-406	219	1	any	any	DET
cte-406	219	2	port	port	NOUN
cte-406	219	3	in	in	ADP
cte-406	219	4	a	a	DET
cte-406	219	5	storm	storm	NOUN
cte-406	219	6	.	.	PUNCT
cte-406	220	1	the	the	DET
cte-406	220	2	puzzlor	puzzlor	NOUN
cte-406	220	3	.	.	PUNCT
cte-406	221	1	http://puzzlor.com/2017-02_portinastorm.html	http://puzzlor.com/2017-02_portinastorm.html	PROPN
cte-406	221	2	(	(	PUNCT
cte-406	221	3	2017	2017	NUM
cte-406	221	4	)	)	PUNCT
cte-406	221	5	.	.	PUNCT
cte-406	222	1	accessed	access	VERB
cte-406	222	2	21	21	NUM
cte-406	222	3	oct	oct	PROPN
cte-406	222	4	2018	2018	NUM
cte-406	222	5	2	2	NUM
cte-406	222	6	.	.	PUNCT
cte-406	223	1	bobylyev	bobylyev	PROPN
cte-406	223	2	,	,	PUNCT
cte-406	223	3	d.ye	d.ye	PROPN
cte-406	223	4	.	.	PROPN
cte-406	223	5	,	,	PUNCT
cte-406	223	6	popel	popel	PROPN
cte-406	223	7	,	,	PUNCT
cte-406	223	8	m.v	m.v	PROPN
cte-406	223	9	.	.	PROPN
cte-406	223	10	:	:	PUNCT
cte-406	224	1	pidtrymka	pidtrymka	PROPN
cte-406	224	2	samostiinoi	samostiinoi	PROPN
cte-406	224	3	roboty	roboty	PROPN
cte-406	224	4	zasobamy	zasobamy	PROPN
cte-406	224	5	sagemathcloud	sagemathcloud	PROPN
cte-406	224	6	pry	pry	PROPN
cte-406	224	7	navchanni	navchanni	PROPN
cte-406	224	8	kursu	kursu	PROPN
cte-406	224	9	«	«	PUNCT
cte-406	224	10	dyferentsialni	dyferentsialni	NOUN
cte-406	224	11	rivniannia	rivniannia	PROPN
cte-406	224	12	»	»	PUNCT
cte-406	224	13	maibutnikh	maibutnikh	PROPN
cte-406	224	14	vchyteliv	vchyteliv	PROPN
cte-406	224	15	matematyky	matematyky	NOUN
cte-406	224	16	(	(	PUNCT
cte-406	224	17	support	support	NOUN
cte-406	224	18	for	for	ADP
cte-406	224	19	independent	independent	ADJ
cte-406	224	20	students	student	NOUN
cte-406	224	21	’	'	PUNCT
cte-406	224	22	work	work	NOUN
cte-406	224	23	by	by	ADP
cte-406	224	24	tools	tool	NOUN
cte-406	224	25	sagemathcloud	sagemathcloud	ADJ
cte-406	224	26	in	in	ADP
cte-406	224	27	the	the	DET
cte-406	224	28	learning	learning	NOUN
cte-406	224	29	of	of	ADP
cte-406	224	30	“	"	PUNCT
cte-406	224	31	differential	differential	ADJ
cte-406	224	32	equations	equation	NOUN
cte-406	224	33	”	"	PUNCT
cte-406	224	34	for	for	ADP
cte-406	224	35	future	future	ADJ
cte-406	224	36	mathematics	mathematic	NOUN
cte-406	224	37	teachers	teacher	NOUN
cte-406	224	38	)	)	PUNCT
cte-406	224	39	.	.	PUNCT
cte-406	225	1	new	new	ADJ
cte-406	225	2	computer	computer	NOUN
cte-406	225	3	technology	technology	NOUN
cte-406	225	4	15	15	NUM
cte-406	225	5	,	,	PUNCT
cte-406	225	6	201–205	201–205	NUM
cte-406	225	7	(	(	PUNCT
cte-406	225	8	2017	2017	NUM
cte-406	225	9	)	)	PUNCT
cte-406	225	10	3	3	NUM
cte-406	225	11	.	.	PUNCT
cte-406	225	12	cell	cell	NOUN
cte-406	225	13	towers	tower	NOUN
cte-406	225	14	.	.	PUNCT
cte-406	226	1	the	the	DET
cte-406	226	2	puzzlor	puzzlor	NOUN
cte-406	226	3	.	.	PUNCT
cte-406	227	1	http://puzzlor.com/2016-04_celltowers.html	http://puzzlor.com/2016-04_celltowers.html	PROPN
cte-406	227	2	(	(	PUNCT
cte-406	227	3	2016	2016	NUM
cte-406	227	4	)	)	PUNCT
cte-406	227	5	.	.	PUNCT
cte-406	228	1	accessed	access	VERB
cte-406	228	2	21	21	NUM
cte-406	228	3	oct	oct	PROPN
cte-406	228	4	2018	2018	NUM
cte-406	228	5	http://puzzlor.com/2016-04_celltowers.html	http://puzzlor.com/2016-04_celltowers.html	PUNCT
cte-406	228	6	cte	cte	NOUN
cte-406	228	7	workshop	workshop	NOUN
cte-406	228	8	proceedings	proceeding	NOUN
cte-406	228	9	,	,	PUNCT
cte-406	228	10	2019	2019	NUM
cte-406	228	11	,	,	PUNCT
cte-406	228	12	vol	vol	NOUN
cte-406	228	13	.	.	PROPN
cte-406	229	1	6	6	NUM
cte-406	229	2	:	:	PUNCT
cte-406	229	3	cte-2018	cte-2018	NOUN
cte-406	229	4	,	,	PUNCT
cte-406	229	5	pp	pp	ADP
cte-406	229	6	.	.	PUNCT
cte-406	230	1	459	459	NUM
cte-406	230	2	-	-	SYM
cte-406	230	3	471	471	NUM
cte-406	230	4	471	471	NUM
cte-406	230	5	4	4	NUM
cte-406	230	6	.	.	PUNCT
cte-406	231	1	markova	markova	NOUN
cte-406	231	2	,	,	PUNCT
cte-406	231	3	o.	o.	PROPN
cte-406	231	4	,	,	PUNCT
cte-406	231	5	semerikov	semerikov	PROPN
cte-406	231	6	,	,	PUNCT
cte-406	231	7	s.	s.	PROPN
cte-406	231	8	,	,	PUNCT
cte-406	231	9	popel	popel	NOUN
cte-406	231	10	,	,	PUNCT
cte-406	231	11	m.	m.	NOUN
cte-406	231	12	:	:	PUNCT
cte-406	231	13	cocalc	cocalc	VERB
cte-406	231	14	as	as	ADP
cte-406	231	15	a	a	DET
cte-406	231	16	learning	learn	VERB
cte-406	231	17	tool	tool	NOUN
cte-406	231	18	for	for	ADP
cte-406	231	19	neural	neural	ADJ
cte-406	231	20	network	network	NOUN
cte-406	231	21	simulation	simulation	NOUN
cte-406	231	22	in	in	ADP
cte-406	231	23	the	the	DET
cte-406	231	24	special	special	ADJ
cte-406	231	25	course	course	NOUN
cte-406	231	26	“	"	PUNCT
cte-406	231	27	foundations	foundation	NOUN
cte-406	231	28	of	of	ADP
cte-406	231	29	mathematic	mathematic	ADJ
cte-406	231	30	informatics	informatic	NOUN
cte-406	231	31	”	"	PUNCT
cte-406	231	32	.	.	PUNCT
cte-406	232	1	in	in	ADP
cte-406	232	2	:	:	PUNCT
cte-406	232	3	ermolayev	ermolayev	PROPN
cte-406	232	4	,	,	PUNCT
cte-406	232	5	v.	v.	ADV
cte-406	232	6	,	,	PUNCT
cte-406	232	7	suárez	suárez	NOUN
cte-406	232	8	-	-	PUNCT
cte-406	232	9	figueroa	figueroa	PROPN
cte-406	232	10	,	,	PUNCT
cte-406	232	11	m.c	m.c	PROPN
cte-406	232	12	.	.	PROPN
cte-406	232	13	,	,	PUNCT
cte-406	232	14	yakovyna	yakovyna	PROPN
cte-406	232	15	,	,	PUNCT
cte-406	232	16	v.	v.	PROPN
cte-406	232	17	,	,	PUNCT
cte-406	232	18	kharchenko	kharchenko	PROPN
cte-406	232	19	,	,	PUNCT
cte-406	232	20	v.	v.	ADV
cte-406	232	21	,	,	PUNCT
cte-406	232	22	kobets	kobet	NOUN
cte-406	232	23	,	,	PUNCT
cte-406	232	24	v.	v.	ADV
cte-406	232	25	,	,	PUNCT
cte-406	232	26	kravtsov	kravtsov	NOUN
cte-406	232	27	,	,	PUNCT
cte-406	232	28	h.	h.	PROPN
cte-406	232	29	,	,	PUNCT
cte-406	232	30	peschanenko	peschanenko	PROPN
cte-406	232	31	,	,	PUNCT
cte-406	232	32	v.	v.	ADV
cte-406	232	33	,	,	PUNCT
cte-406	232	34	prytula	prytula	PROPN
cte-406	232	35	,	,	PUNCT
cte-406	232	36	ya	ya	PROPN
cte-406	232	37	.	.	PROPN
cte-406	232	38	,	,	PUNCT
cte-406	232	39	nikitchenko	nikitchenko	ADJ
cte-406	232	40	,	,	PUNCT
cte-406	232	41	m.	m.	NOUN
cte-406	232	42	,	,	PUNCT
cte-406	232	43	spivakovsky	spivakovsky	ADJ
cte-406	232	44	a.	a.	NOUN
cte-406	232	45	(	(	PUNCT
cte-406	232	46	eds	ed	NOUN
cte-406	232	47	.	.	PUNCT
cte-406	232	48	)	)	PUNCT
cte-406	232	49	proceedings	proceeding	NOUN
cte-406	232	50	of	of	ADP
cte-406	232	51	the	the	DET
cte-406	232	52	14th	14th	ADJ
cte-406	232	53	international	international	ADJ
cte-406	232	54	conference	conference	NOUN
cte-406	232	55	on	on	ADP
cte-406	232	56	ict	ict	PROPN
cte-406	232	57	in	in	ADP
cte-406	232	58	education	education	NOUN
cte-406	232	59	,	,	PUNCT
cte-406	232	60	research	research	NOUN
cte-406	232	61	and	and	CCONJ
cte-406	232	62	industrial	industrial	ADJ
cte-406	232	63	applications	application	NOUN
cte-406	232	64	.	.	PUNCT
cte-406	233	1	integration	integration	NOUN
cte-406	233	2	,	,	PUNCT
cte-406	233	3	harmonization	harmonization	NOUN
cte-406	233	4	and	and	CCONJ
cte-406	233	5	knowledge	knowledge	NOUN
cte-406	233	6	transfer	transfer	NOUN
cte-406	233	7	(	(	PUNCT
cte-406	233	8	icteri	icteri	PROPN
cte-406	233	9	,	,	PUNCT
cte-406	233	10	2018	2018	NUM
cte-406	233	11	)	)	PUNCT
cte-406	233	12	,	,	PUNCT
cte-406	233	13	kyiv	kyiv	ADJ
cte-406	233	14	,	,	PUNCT
cte-406	233	15	ukraine	ukraine	NOUN
cte-406	233	16	,	,	PUNCT
cte-406	233	17	1417	1417	NUM
cte-406	233	18	may	may	PROPN
cte-406	233	19	2018	2018	NUM
cte-406	233	20	,	,	PUNCT
cte-406	233	21	vol	vol	NOUN
cte-406	233	22	.	.	PUNCT
cte-406	233	23	ii	ii	PROPN
cte-406	233	24	:	:	PUNCT
cte-406	233	25	workshops	workshop	NOUN
cte-406	233	26	.	.	PUNCT
cte-406	234	1	ceur	ceur	NOUN
cte-406	234	2	workshop	workshop	NOUN
cte-406	234	3	proceedings	proceeding	NOUN
cte-406	234	4	2104	2104	NUM
cte-406	234	5	,	,	PUNCT
cte-406	234	6	338–403	338–403	NUM
cte-406	234	7	.	.	PUNCT
cte-406	235	1	http://ceur-ws.org/vol-2104/paper_204.pdf	http://ceur-ws.org/vol-2104/paper_204.pdf	PROPN
cte-406	235	2	(	(	PUNCT
cte-406	235	3	2018	2018	NUM
cte-406	235	4	)	)	PUNCT
cte-406	235	5	.	.	PUNCT
cte-406	235	6	accessed	access	VERB
cte-406	235	7	30	30	NUM
cte-406	235	8	nov	nov	PROPN
cte-406	235	9	2018	2018	NUM
cte-406	235	10	5	5	NUM
cte-406	235	11	.	.	PUNCT
cte-406	236	1	modlo	modlo	PROPN
cte-406	236	2	,	,	PUNCT
cte-406	236	3	e.o	e.o	PROPN
cte-406	236	4	.	.	PROPN
cte-406	236	5	,	,	PUNCT
cte-406	236	6	semerikov	semerikov	PROPN
cte-406	236	7	,	,	PUNCT
cte-406	236	8	s.o	s.o	PROPN
cte-406	236	9	.	.	PROPN
cte-406	236	10	:	:	PUNCT
cte-406	237	1	development	development	NOUN
cte-406	237	2	of	of	ADP
cte-406	237	3	sagemath	sagemath	NOUN
cte-406	237	4	filter	filter	NOUN
cte-406	237	5	for	for	ADP
cte-406	237	6	moodle	moodle	NOUN
cte-406	237	7	.	.	PUNCT
cte-406	238	1	new	new	ADJ
cte-406	238	2	computer	computer	NOUN
cte-406	238	3	technology	technology	NOUN
cte-406	238	4	12	12	NUM
cte-406	238	5	,	,	PUNCT
cte-406	238	6	233–243	233–243	NUM
cte-406	238	7	(	(	PUNCT
cte-406	238	8	2014	2014	NUM
cte-406	238	9	)	)	PUNCT
cte-406	238	10	6	6	NUM
cte-406	238	11	.	.	PUNCT
cte-406	239	1	popel	popel	NOUN
cte-406	239	2	,	,	PUNCT
cte-406	239	3	m.v	m.v	PROPN
cte-406	239	4	.	.	PROPN
cte-406	239	5	,	,	PUNCT
cte-406	239	6	bobyliev	bobyliev	PROPN
cte-406	239	7	,	,	PUNCT
cte-406	239	8	d.ye	d.ye	PROPN
cte-406	239	9	.	.	PROPN
cte-406	239	10	:	:	PUNCT
cte-406	239	11	dyferentsiatsiia	dyferentsiatsiia	VERB
cte-406	239	12	navchannia	navchannia	NOUN
cte-406	239	13	maibutnikh	maibutnikh	NOUN
cte-406	239	14	vchyteliv	vchyteliv	PROPN
cte-406	239	15	matematyky	matematyky	NOUN
cte-406	239	16	kompleksnomu	kompleksnomu	PROPN
cte-406	239	17	analizu	analizu	PROPN
cte-406	239	18	zasobamy	zasobamy	PROPN
cte-406	239	19	cocalc	cocalc	PROPN
cte-406	239	20	(	(	PUNCT
cte-406	239	21	differentiation	differentiation	NOUN
cte-406	239	22	of	of	ADP
cte-406	239	23	student	student	NOUN
cte-406	239	24	learning	learning	NOUN
cte-406	239	25	to	to	PART
cte-406	239	26	complex	complex	ADJ
cte-406	239	27	analysis	analysis	NOUN
cte-406	239	28	using	use	VERB
cte-406	239	29	cocalc	cocalc	NOUN
cte-406	239	30	)	)	PUNCT
cte-406	239	31	.	.	PUNCT
cte-406	240	1	new	new	ADJ
cte-406	240	2	computer	computer	NOUN
cte-406	240	3	technology	technology	NOUN
cte-406	240	4	17	17	NUM
cte-406	240	5	,	,	PUNCT
cte-406	240	6	192–200	192–200	NUM
cte-406	240	7	(	(	PUNCT
cte-406	240	8	2019	2019	NUM
cte-406	240	9	)	)	PUNCT
cte-406	240	10	7	7	NUM
cte-406	240	11	.	.	PUNCT
cte-406	241	1	popel	popel	NOUN
cte-406	241	2	,	,	PUNCT
cte-406	241	3	m.v	m.v	PROPN
cte-406	241	4	.	.	PUNCT
cte-406	241	5	:	:	PUNCT
cte-406	242	1	orhanizatsiia	orhanizatsiia	ADP
cte-406	242	2	navchannia	navchannia	NOUN
cte-406	242	3	matematychnykh	matematychnykh	PROPN
cte-406	242	4	dystsyplin	dystsyplin	PROPN
cte-406	242	5	u	u	PROPN
cte-406	242	6	sagemathcloud	sagemathcloud	NOUN
cte-406	242	7	(	(	PUNCT
cte-406	242	8	organization	organization	NOUN
cte-406	242	9	of	of	ADP
cte-406	242	10	teaching	teach	VERB
cte-406	242	11	mathematical	mathematical	ADJ
cte-406	242	12	disciplines	discipline	NOUN
cte-406	242	13	in	in	ADP
cte-406	242	14	sagemathcloud	sagemathcloud	NOUN
cte-406	242	15	)	)	PUNCT
cte-406	242	16	.	.	PUNCT
cte-406	243	1	publishing	publish	VERB
cte-406	243	2	department	department	PROPN
cte-406	243	3	of	of	ADP
cte-406	243	4	the	the	DET
cte-406	243	5	kryviy	kryviy	PROPN
cte-406	243	6	rih	rih	VERB
cte-406	243	7	national	national	ADJ
cte-406	243	8	university	university	NOUN
cte-406	243	9	,	,	PUNCT
cte-406	243	10	kryviy	kryviy	PROPN
cte-406	243	11	rih	rih	VERB
cte-406	243	12	(	(	PUNCT
cte-406	243	13	2016	2016	NUM
cte-406	243	14	)	)	PUNCT
cte-406	243	15	8	8	NUM
cte-406	243	16	.	.	PUNCT
cte-406	244	1	sagemath	sagemath	PROPN
cte-406	244	2	,	,	PUNCT
cte-406	244	3	inc	inc	PROPN
cte-406	244	4	.	.	PROPN
cte-406	244	5	:	:	PUNCT
cte-406	245	1	cocalc	cocalc	VERB
cte-406	245	2	collaborative	collaborative	ADJ
cte-406	245	3	calculation	calculation	NOUN
cte-406	245	4	in	in	ADP
cte-406	245	5	the	the	DET
cte-406	245	6	cloud	cloud	NOUN
cte-406	245	7	.	.	PUNCT
cte-406	246	1	https://cocalc.com	https://cocalc.com	X
cte-406	246	2	(	(	PUNCT
cte-406	246	3	2019	2019	NUM
cte-406	246	4	)	)	PUNCT
cte-406	246	5	.	.	PUNCT
cte-406	247	1	accessed	access	VERB
cte-406	247	2	21	21	NUM
cte-406	247	3	mar	mar	PROPN
cte-406	247	4	2019	2019	NUM
cte-406	247	5	9	9	NUM
cte-406	247	6	.	.	PUNCT
cte-406	248	1	semerikov	semerikov	PROPN
cte-406	248	2	,	,	PUNCT
cte-406	248	3	s.o	s.o	PROPN
cte-406	248	4	.	.	PROPN
cte-406	248	5	,	,	PUNCT
cte-406	248	6	shokaliuk	shokaliuk	PROPN
cte-406	248	7	,	,	PUNCT
cte-406	248	8	s.v	s.v	PROPN
cte-406	248	9	.	.	PUNCT
cte-406	248	10	:	:	PUNCT
cte-406	249	1	orhanizatsiia	orhanizatsiia	ADP
cte-406	249	2	rozpodilenykh	rozpodilenykh	ADJ
cte-406	249	3	obchyslen	obchyslen	ADJ
cte-406	249	4	zasobamy	zasobamy	PROPN
cte-406	249	5	mms	mms	NOUN
cte-406	249	6	sage	sage	NOUN
cte-406	249	7	(	(	PUNCT
cte-406	249	8	the	the	DET
cte-406	249	9	organization	organization	NOUN
cte-406	249	10	of	of	ADP
cte-406	249	11	distributed	distribute	VERB
cte-406	249	12	computing	computing	NOUN
cte-406	249	13	using	use	VERB
cte-406	249	14	mme	mme	NOUN
cte-406	249	15	sage	sage	NOUN
cte-406	249	16	)	)	PUNCT
cte-406	249	17	.	.	PUNCT
cte-406	250	1	pedahohichni	pedahohichni	ADJ
cte-406	250	2	nauky	nauky	NOUN
cte-406	250	3	:	:	PUNCT
cte-406	250	4	teoriia	teoriia	VERB
cte-406	250	5	,	,	PUNCT
cte-406	250	6	istoriia	istoriia	INTJ
cte-406	250	7	,	,	PUNCT
cte-406	250	8	innovatsiini	innovatsiini	ADJ
cte-406	250	9	tekhnolohii	tekhnolohii	NOUN
cte-406	250	10	2(4	2(4	NUM
cte-406	250	11	)	)	PUNCT
cte-406	250	12	,	,	PUNCT
cte-406	250	13	338–345	338–345	NUM
cte-406	250	14	(	(	PUNCT
cte-406	250	15	2010	2010	NUM
cte-406	250	16	)	)	PUNCT
cte-406	250	17	10	10	NUM
cte-406	250	18	.	.	PUNCT
cte-406	251	1	semerikov	semerikov	PROPN
cte-406	251	2	,	,	PUNCT
cte-406	251	3	s.o	s.o	PROPN
cte-406	251	4	.	.	PROPN
cte-406	251	5	,	,	PUNCT
cte-406	251	6	teplyckyj	teplyckyj	PROPN
cte-406	251	7	,	,	PUNCT
cte-406	251	8	i.o	i.o	PROPN
cte-406	251	9	.	.	PROPN
cte-406	251	10	:	:	PUNCT
cte-406	251	11	mobilne	mobilne	PROPN
cte-406	251	12	matematychne	matematychne	PROPN
cte-406	251	13	seredovyshhe	seredovyshhe	PROPN
cte-406	251	14	sage	sage	NOUN
cte-406	251	15	:	:	PUNCT
cte-406	251	16	novi	novi	PROPN
cte-406	251	17	mozhlyvosti	mozhlyvosti	PROPN
cte-406	251	18	ta	ta	PROPN
cte-406	251	19	perspektyvy	perspektyvy	PROPN
cte-406	251	20	rozvytku	rozvytku	NOUN
cte-406	251	21	(	(	PUNCT
cte-406	251	22	mobile	mobile	ADJ
cte-406	251	23	mathematical	mathematical	ADJ
cte-406	251	24	environment	environment	NOUN
cte-406	251	25	sage	sage	NOUN
cte-406	251	26	:	:	PUNCT
cte-406	251	27	a	a	DET
cte-406	251	28	new	new	ADJ
cte-406	251	29	features	feature	NOUN
cte-406	251	30	and	and	CCONJ
cte-406	251	31	development	development	NOUN
cte-406	251	32	prospects	prospect	NOUN
cte-406	251	33	)	)	PUNCT
cte-406	251	34	.	.	PUNCT
cte-406	252	1	in	in	ADP
cte-406	252	2	:	:	PUNCT
cte-406	252	3	tezy	tezy	NOUN
cte-406	252	4	dopovidej	dopovidej	VERB
cte-406	252	5	vii	vii	PROPN
cte-406	252	6	vseukrainskoi	vseukrainskoi	PROPN
cte-406	252	7	naukovopraktychnoi	naukovopraktychnoi	PROPN
cte-406	252	8	konferencii	konferencii	PROPN
cte-406	252	9	“	"	PUNCT
cte-406	252	10	informacijni	informacijni	VERB
cte-406	252	11	tehnologii	tehnologii	NOUN
cte-406	252	12	v	v	ADP
cte-406	252	13	osviti	osviti	NOUN
cte-406	252	14	,	,	PUNCT
cte-406	252	15	nauci	nauci	ADJ
cte-406	252	16	i	i	PRON
cte-406	252	17	tehnici	tehnici	NOUN
cte-406	252	18	”	"	PUNCT
cte-406	252	19	(	(	PUNCT
cte-406	252	20	itont-2010	itont-2010	NOUN
cte-406	252	21	)	)	PUNCT
cte-406	252	22	.	.	PUNCT
cte-406	253	1	vol	vol	NOUN
cte-406	253	2	.	.	PROPN
cte-406	253	3	2	2	NUM
cte-406	253	4	,	,	PUNCT
cte-406	253	5	p.	p.	NOUN
cte-406	253	6	71	71	NUM
cte-406	253	7	.	.	PUNCT
cte-406	253	8	cherkaskyj	cherkaskyj	VERB
cte-406	253	9	derzhavnyj	derzhavnyj	ADJ
cte-406	253	10	tehnologichnyj	tehnologichnyj	NOUN
cte-406	253	11	universytet	universytet	NOUN
cte-406	253	12	,	,	PUNCT
cte-406	253	13	cherkasy	cherkasy	PROPN
cte-406	253	14	(	(	PUNCT
cte-406	253	15	2010	2010	NUM
cte-406	253	16	)	)	PUNCT
cte-406	253	17	11	11	NUM
cte-406	253	18	.	.	PUNCT
cte-406	254	1	shokaliuk	shokaliuk	NOUN
cte-406	254	2	,	,	PUNCT
cte-406	254	3	s.v	s.v	PROPN
cte-406	254	4	.	.	PROPN
cte-406	254	5	,	,	PUNCT
cte-406	254	6	markova	markova	PROPN
cte-406	254	7	,	,	PUNCT
cte-406	254	8	o.m	o.m	PROPN
cte-406	254	9	.	.	PROPN
cte-406	254	10	,	,	PUNCT
cte-406	254	11	semerikov	semerikov	PROPN
cte-406	254	12	,	,	PUNCT
cte-406	254	13	s.o	s.o	PROPN
cte-406	254	14	.	.	PROPN
cte-406	254	15	:	:	PUNCT
cte-406	255	1	sagemathcloud	sagemathcloud	ADJ
cte-406	255	2	yak	yak	PROPN
cte-406	255	3	zasib	zasib	PROPN
cte-406	255	4	khmarnykh	khmarnykh	VERB
cte-406	255	5	tekhnolohii	tekhnolohii	PROPN
cte-406	255	6	kompiuterno	kompiuterno	NOUN
cte-406	255	7	-	-	PUNCT
cte-406	255	8	oriientovanoho	oriientovanoho	NOUN
cte-406	255	9	navchannia	navchannia	NOUN
cte-406	255	10	matematychnykh	matematychnykh	NOUN
cte-406	255	11	ta	ta	PART
cte-406	255	12	informatychnykh	informatychnykh	VERB
cte-406	255	13	dystsyplin	dystsyplin	PROPN
cte-406	255	14	(	(	PUNCT
cte-406	255	15	sagemathcloud	sagemathcloud	PROPN
cte-406	255	16	as	as	ADP
cte-406	255	17	the	the	DET
cte-406	255	18	learning	learn	VERB
cte-406	255	19	tool	tool	NOUN
cte-406	255	20	cloud	cloud	NOUN
cte-406	255	21	technologies	technology	NOUN
cte-406	255	22	of	of	ADP
cte-406	255	23	the	the	DET
cte-406	255	24	computerbased	computerbased	ADJ
cte-406	255	25	studying	study	VERB
cte-406	255	26	mathematics	mathematic	NOUN
cte-406	255	27	and	and	CCONJ
cte-406	255	28	informatics	informatic	NOUN
cte-406	255	29	disciplines	discipline	NOUN
cte-406	255	30	)	)	PUNCT
cte-406	255	31	.	.	PUNCT
cte-406	256	1	in	in	ADP
cte-406	256	2	:	:	PUNCT
cte-406	256	3	soloviov	soloviov	PROPN
cte-406	256	4	,	,	PUNCT
cte-406	256	5	v.m	v.m	PROPN
cte-406	256	6	.	.	PUNCT
cte-406	257	1	(	(	PUNCT
cte-406	257	2	ed	ed	NOUN
cte-406	257	3	.	.	PUNCT
cte-406	257	4	)	)	PUNCT
cte-406	258	1	modeling	modeling	NOUN
cte-406	258	2	in	in	ADP
cte-406	258	3	education	education	NOUN
cte-406	258	4	:	:	PUNCT
cte-406	258	5	state	state	NOUN
cte-406	258	6	.	.	PUNCT
cte-406	259	1	problems	problem	NOUN
cte-406	259	2	.	.	PUNCT
cte-406	260	1	prospects	prospect	NOUN
cte-406	260	2	,	,	PUNCT
cte-406	260	3	pp	pp	ADP
cte-406	260	4	.	.	PUNCT
cte-406	261	1	130	130	NUM
cte-406	261	2	-	-	SYM
cte-406	261	3	142	142	NUM
cte-406	261	4	.	.	PUNCT
cte-406	262	1	brama	brama	PROPN
cte-406	262	2	,	,	PUNCT
cte-406	262	3	cherkasy	cherkasy	NOUN
cte-406	262	4	(	(	PUNCT
cte-406	262	5	2017	2017	NUM
cte-406	262	6	)	)	PUNCT
