id	sid	tid	token	lemma	pos
work_min2jdpukzaf5gkj3v2kj2he4q	1	1	Truth	Truth	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	1	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	1	3	Justice	Justice	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	1	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	1	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	1	6	Cake	Cake	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	1	7	Cutting	Cutting	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	1	8	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	1	9	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	1	10	community	community	NN
work_min2jdpukzaf5gkj3v2kj2he4q	1	11	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	1	12	made	make	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	1	13	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	1	14	article	article	NN
work_min2jdpukzaf5gkj3v2kj2he4q	1	15	openly	openly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	1	16	available	available	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	1	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	2	1	Please	please	UH
work_min2jdpukzaf5gkj3v2kj2he4q	2	2	share	share	VB
work_min2jdpukzaf5gkj3v2kj2he4q	2	3	how	how	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	2	4	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	2	5	access	access	NN
work_min2jdpukzaf5gkj3v2kj2he4q	2	6	benefits	benefit	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	2	7	you	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	2	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	3	1	Your	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	3	2	story	story	NN
work_min2jdpukzaf5gkj3v2kj2he4q	3	3	matters	matter	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	3	4	Citation	Citation	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	5	Chen	Chen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	3	7	Yiling	Yiling	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	3	9	John	John	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	10	Kwang	Kwang	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	11	Lai	Lai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	3	13	David	David	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	14	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	15	Parkes	Parkes	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	3	17	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	3	18	Ariel	Ariel	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	19	D.	D.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	20	Procaccia	Procaccia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	3	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	4	1	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	4	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	5	1	Truth	truth	NN
work_min2jdpukzaf5gkj3v2kj2he4q	5	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	5	3	justice	justice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	5	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	5	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	5	6	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	5	7	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	5	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	6	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	6	2	Proceedings	Proceedings	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	6	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	6	5	Twenty	Twenty	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	6	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	6	7	Fourth	Fourth	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	8	AAAI	AAAI	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	9	Conference	Conference	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	10	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	6	11	Artificial	Artificial	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	12	Intelligence	Intelligence	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	6	14	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	6	15	Twenty	Twenty	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	16	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	6	17	Second	Second	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	18	Innovative	innovative	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	6	19	Applications	Applications	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	6	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	6	21	Artificial	Artificial	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	22	Intelligence	Intelligence	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	23	Conference	Conference	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	24	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	6	25	11	11	CD
work_min2jdpukzaf5gkj3v2kj2he4q	6	26	-	-	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	6	27	15	15	CD
work_min2jdpukzaf5gkj3v2kj2he4q	6	28	July	July	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	6	30	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	6	31	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	6	32	Atlanta	Atlanta	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	6	34	Georgia	Georgia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	6	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	7	1	Menlo	Menlo	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	7	2	Park	Park	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	7	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	7	4	CA	CA	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	7	5	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	7	6	AAAI	AAAI	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	7	7	Press	Press	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	7	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	8	1	Published	Published	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	2	Version	Version	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	3	http://www.aaai.org/ocs/index.php/AAAI/AAAI10/paper/	http://www.aaai.org/ocs/index.php/AAAI/AAAI10/paper/	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	4	viewFile/1761/2083	viewFile/1761/2083	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	5	Citable	citable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	6	link	link	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	7	http://nrs.harvard.edu/urn-3:HUL.InstRepos:8896229	http://nrs.harvard.edu/urn-3:hul.instrepos:8896229	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	8	Terms	term	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	8	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	10	Use	Use	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	11	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	12	article	article	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	13	was	be	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	8	14	downloaded	download	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	8	15	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	16	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	17	University	University	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	18	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	8	19	DASH	DASH	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	20	repository	repository	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	8	23	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	8	24	made	make	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	8	25	available	available	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	26	under	under	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	27	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	28	terms	term	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	8	29	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	8	30	conditions	condition	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	8	31	applicable	applicable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	32	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	8	33	Open	open	VB
work_min2jdpukzaf5gkj3v2kj2he4q	8	34	Access	Access	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	35	Policy	Policy	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	36	Articles	Articles	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	8	37	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	38	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	39	set	set	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	8	40	forth	forth	RP
work_min2jdpukzaf5gkj3v2kj2he4q	8	41	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	42	http://	http://	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	43	nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-	nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	44	use#OAP	use#OAP	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	45	http://osc.hul.harvard.edu/dash/open-access-feedback?handle=&title=Truth,%20Justice,%20and%20Cake%20Cutting&community=1/1&collection=1/2&owningCollection1/2&harvardAuthors=8163de7d1727bd1a0850c7d9a608f710&departmentEngineering%20and%20Applied%20Sciences	http://osc.hul.harvard.edu/dash/open-access-feedback?handle=&title=Truth,%20Justice,%20and%20Cake%20Cutting&community=1/1&collection=1/2&owningCollection1/2&harvardAuthors=8163de7d1727bd1a0850c7d9a608f710&departmentEngineering%20and%20Applied%20Sciences	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	46	http://nrs.harvard.edu/urn-3:HUL.InstRepos:8896229	http://nrs.harvard.edu/urn-3:HUL.InstRepos:8896229	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	47	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	48	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	49	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	50	Truth	Truth	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	51	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	52	Justice	Justice	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	53	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	54	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	8	55	Cake	Cake	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	56	Cutting	Cutting	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	57	Yiling	Yiling	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	58	Chen	Chen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	59	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	60	SEAS	SEAS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	61	yiling@eecs.harvard.edu	yiling@eecs.harvard.edu	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	62	John	John	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	63	K.	K.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	64	Lai	Lai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	65	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	66	SEAS	SEAS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	67	jklai@post.harvard.edu	jklai@post.harvard.edu	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	8	68	David	David	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	69	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	70	Parkes	Parkes	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	71	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	72	SEAS	SEAS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	73	parkes@eecs.harvard.edu	parkes@eecs.harvard.edu	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	8	74	Ariel	Ariel	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	75	D.	D.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	76	Procaccia	Procaccia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	77	Harvard	Harvard	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	78	SEAS	SEAS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	79	arielpro@seas.harvard.edu	arielpro@seas.harvard.edu	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	80	Superman	Superman	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	81	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	8	82	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	8	83	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	8	84	’m	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	8	85	here	here	RB
work_min2jdpukzaf5gkj3v2kj2he4q	8	86	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	8	87	fight	fight	VB
work_min2jdpukzaf5gkj3v2kj2he4q	8	88	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	89	truth	truth	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	90	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	91	justice	justice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	92	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	8	93	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	8	94	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	95	American	american	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	96	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	97	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	8	98	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	8	99	Lois	Lois	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	100	Lane	Lane	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	101	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	8	102	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	8	103	You	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	8	104	’re	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	8	105	gon	go	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	8	106	na	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	8	107	wind	wind	VB
work_min2jdpukzaf5gkj3v2kj2he4q	8	108	up	up	RP
work_min2jdpukzaf5gkj3v2kj2he4q	8	109	fighting	fight	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	8	110	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	111	elected	elect	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	8	112	official	official	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	113	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	114	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	115	country	country	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	116	!	!	.
work_min2jdpukzaf5gkj3v2kj2he4q	8	117	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	8	118	Superman	superman	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	119	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	8	120	1978	1978	CD
work_min2jdpukzaf5gkj3v2kj2he4q	8	121	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	8	122	Abstract	Abstract	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	123	Cake	Cake	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	8	124	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	125	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	8	126	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	127	common	common	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	128	metaphor	metaphor	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	129	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	130	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	131	division	division	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	132	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	8	133	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	8	134	het-	het-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	8	135	erogeneous	erogeneous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	136	divisible	divisible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	8	137	good	good	NN
work_min2jdpukzaf5gkj3v2kj2he4q	8	138	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	9	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	9	2	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	9	3	numerous	numerous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	4	papers	paper	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	9	5	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	9	6	study	study	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	9	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	9	8	problem	problem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	9	10	fairly	fairly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	9	11	dividing	divide	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	9	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	9	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	14	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	9	15	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	9	16	small	small	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	17	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	18	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	9	19	them	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	9	20	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	9	21	take	take	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	9	22	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	9	23	account	account	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	24	self	self	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	25	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	9	26	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	27	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	9	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	9	29	con-	con-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	9	30	sequent	sequent	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	31	strategic	strategic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	32	issues	issue	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	9	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	9	34	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	9	35	these	these	DT
work_min2jdpukzaf5gkj3v2kj2he4q	9	36	papers	paper	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	9	37	focus	focus	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	9	38	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	9	39	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	40	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	9	41	consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	9	42	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	9	43	strikingly	strikingly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	9	44	weak	weak	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	9	45	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	46	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	9	47	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	9	48	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	10	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	3	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	10	5	investigate	investigate	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	10	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	7	problem	problem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	9	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	10	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	11	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	12	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	13	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	14	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	15	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	10	16	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	10	17	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	10	19	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	10	21	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	10	22	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	23	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	24	first	first	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	25	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	26	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	10	27	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	28	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	29	dominant	dominant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	30	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	31	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	32	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	10	33	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	10	34	ubiquitous	ubiquitous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	35	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	10	36	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	10	37	social	social	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	10	38	choice	choice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	39	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	10	40	computer	computer	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	41	science	science	NN
work_min2jdpukzaf5gkj3v2kj2he4q	10	42	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	11	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	11	2	design	design	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	11	3	both	both	CC
work_min2jdpukzaf5gkj3v2kj2he4q	11	4	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	11	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	11	6	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	11	7	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	11	8	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	11	9	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	11	10	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	11	11	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	11	12	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	11	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	11	14	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	11	15	under	under	IN
work_min2jdpukzaf5gkj3v2kj2he4q	11	16	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	11	17	assumptions	assumption	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	11	18	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	11	19	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	11	20	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	11	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	11	22	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	11	23	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	11	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	11	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	11	26	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	11	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	12	1	Introduction	introduction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	12	2	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	12	3	need	need	NN
work_min2jdpukzaf5gkj3v2kj2he4q	12	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	12	5	resource	resource	NN
work_min2jdpukzaf5gkj3v2kj2he4q	12	6	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	12	7	arises	arise	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	12	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	12	9	many	many	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	12	10	AI	AI	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	12	11	domains	domain	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	12	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	12	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	12	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	12	15	particular	particular	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	12	16	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	12	17	multiagent	multiagent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	12	18	systems	system	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	12	19	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	13	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	13	2	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	13	3	led	lead	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	13	4	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	13	6	wide	wide	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	13	7	interest	interest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	13	10	field	field	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	11	known	know	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	13	12	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	13	Multiagent	Multiagent	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	13	14	Resource	Resource	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	13	15	Al-	al-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	13	16	location	location	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	13	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	13	19	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	20	various	various	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	13	21	applications	application	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	13	22	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	23	resource	resource	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	24	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	25	techniques	technique	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	13	26	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	13	27	see	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	13	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	13	29	survey	survey	NN
work_min2jdpukzaf5gkj3v2kj2he4q	13	30	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	13	31	Chevalyere	Chevalyere	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	13	32	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	13	33	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	13	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	14	1	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	14	2	2006	2006	CD
work_min2jdpukzaf5gkj3v2kj2he4q	14	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	14	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	14	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	15	1	Re-	Re-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	15	2	source	source	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	3	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	4	problems	problem	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	15	5	deal	deal	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	15	6	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	15	7	either	either	CC
work_min2jdpukzaf5gkj3v2kj2he4q	15	8	divisible	divisible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	15	9	or	or	CC
work_min2jdpukzaf5gkj3v2kj2he4q	15	10	indi-	indi-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	15	11	visible	visible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	15	12	resources	resource	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	15	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	15	14	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	15	15	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	15	16	distinction	distinction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	17	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	15	18	based	base	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	15	19	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	15	20	whether	whether	IN
work_min2jdpukzaf5gkj3v2kj2he4q	15	21	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	15	22	fraction	fraction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	23	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	15	24	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	15	25	resource	resource	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	26	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	15	27	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	15	28	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	15	29	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	15	30	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	15	31	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	15	32	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	16	1	Cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	16	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	16	3	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	16	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	16	5	often	often	RB
work_min2jdpukzaf5gkj3v2kj2he4q	16	6	used	use	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	16	7	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	16	8	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	16	9	metaphor	metaphor	NN
work_min2jdpukzaf5gkj3v2kj2he4q	16	10	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	16	11	allocating	allocate	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	16	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	16	13	divisible	divisible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	16	14	good	good	NN
work_min2jdpukzaf5gkj3v2kj2he4q	16	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	17	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	17	2	difficulty	difficulty	NN
work_min2jdpukzaf5gkj3v2kj2he4q	17	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	17	4	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	5	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	17	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	17	7	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	17	8	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	9	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	11	equal	equal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	17	12	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	17	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	17	14	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	17	15	rather	rather	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	16	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	17	18	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	17	19	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	17	20	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	21	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	22	tasty	tasty	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	17	23	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	17	24	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	17	25	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	26	prefer	prefer	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	17	27	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	17	28	parts	part	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	29	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	30	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	17	31	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	17	32	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	17	33	de-	de-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	34	pending	pende	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	17	35	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	17	36	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	17	37	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	17	38	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	39	whether	whether	IN
work_min2jdpukzaf5gkj3v2kj2he4q	17	40	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	17	41	toppings	topping	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	42	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	17	43	strawberries	strawberry	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	44	or	or	CC
work_min2jdpukzaf5gkj3v2kj2he4q	17	45	cookies	cookie	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	17	46	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	18	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	2	goal	goal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	18	4	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	18	5	divide	divide	VB
work_min2jdpukzaf5gkj3v2kj2he4q	18	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	7	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	18	9	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	10	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	18	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	18	13	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	18	14	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	18	15	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	18	16	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	18	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	18	definition	definition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	19	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	18	20	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	21	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	18	22	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	23	nontrivial	nontrivial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	18	24	issue	issue	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	25	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	18	26	itself	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	18	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	18	28	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	18	29	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	18	30	discuss	discuss	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	18	31	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	18	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	18	33	sequel	sequel	NN
work_min2jdpukzaf5gkj3v2kj2he4q	18	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	19	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	19	2	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	19	3	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	19	4	problem	problem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	19	5	dates	date	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	19	6	back	back	RB
work_min2jdpukzaf5gkj3v2kj2he4q	19	7	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	19	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	19	9	1940s	1940	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	19	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	19	11	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	19	12	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	19	13	over	over	IN
work_min2jdpukzaf5gkj3v2kj2he4q	19	14	sixty	sixty	CD
work_min2jdpukzaf5gkj3v2kj2he4q	19	15	years	year	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	19	16	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	19	17	attracted	attract	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	19	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	19	19	attention	attention	NN
work_min2jdpukzaf5gkj3v2kj2he4q	19	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	19	21	mathematicians	mathematician	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	19	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	19	23	economists	economist	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	19	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	19	25	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	19	26	political	political	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	19	27	sci-	sci-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	19	28	entists	entist	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	19	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	20	1	While	while	IN
work_min2jdpukzaf5gkj3v2kj2he4q	20	2	most	most	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	20	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	20	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	20	5	work	work	NN
work_min2jdpukzaf5gkj3v2kj2he4q	20	6	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	20	7	artificial	artificial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	20	8	intelligence	intelligence	NN
work_min2jdpukzaf5gkj3v2kj2he4q	20	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	20	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	20	11	Copyright	Copyright	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	12	c	c	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	13	©	©	CD
work_min2jdpukzaf5gkj3v2kj2he4q	20	14	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	20	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	20	16	Association	Association	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	17	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	20	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	20	19	Advancement	Advancement	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	20	21	Artificial	Artificial	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	22	Intelligence	Intelligence	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	23	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	20	24	www.aaai.org	www.aaai.org	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	20	25	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	20	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	21	1	All	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	21	2	rights	right	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	21	3	reserved	reserve	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	21	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	22	1	computer	computer	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	2	science	science	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	3	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	4	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	22	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	22	6	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	22	7	focused	focus	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	22	8	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	22	10	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	12	indivisible	indivisible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	22	13	resources	resource	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	22	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	22	15	recent	recent	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	22	16	years	year	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	22	17	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	22	18	seen	see	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	22	19	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	22	20	increasing	increase	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	22	21	interest	interest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	22	among	among	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	23	computer	computer	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	24	scientists	scientist	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	22	25	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	26	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	22	27	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	22	28	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	29	divis-	divis-	IN
work_min2jdpukzaf5gkj3v2kj2he4q	22	30	ible	ible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	22	31	resources	resource	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	22	32	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	22	33	see	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	22	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	22	35	e.g	e.g	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	22	36	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	22	37	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	22	38	Edmonds	Edmonds	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	22	39	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	22	40	Pruhs	Pruhs	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	22	41	2006a	2006a	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	22	42	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	22	43	2006b	2006b	CD
work_min2jdpukzaf5gkj3v2kj2he4q	22	44	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	22	45	Procaccia	Procaccia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	22	46	2009	2009	CD
work_min2jdpukzaf5gkj3v2kj2he4q	22	47	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	22	48	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	22	49	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	23	1	Slightly	slightly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	23	2	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	23	3	formally	formally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	23	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	23	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	23	6	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	23	7	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	23	8	represented	represent	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	23	9	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	23	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	23	11	in-	in-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	23	12	terval	terval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	23	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	23	14	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	23	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	23	16	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	23	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	23	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	24	1	Each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	24	2	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	24	3	n	n	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	24	4	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	24	5	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	24	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	24	7	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	8	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	9	over	over	IN
work_min2jdpukzaf5gkj3v2kj2he4q	24	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	24	11	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	24	13	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	24	14	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	24	15	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	24	16	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	17	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	24	18	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	24	19	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	24	20	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	21	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	24	22	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	24	23	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	24	24	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	24	25	additive	additive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	24	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	25	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	25	2	goal	goal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	25	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	25	4	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	25	5	find	find	VB
work_min2jdpukzaf5gkj3v2kj2he4q	25	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	25	7	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	25	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	25	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	25	10	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	25	11	among	among	IN
work_min2jdpukzaf5gkj3v2kj2he4q	25	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	25	13	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	25	14	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	25	15	while	while	IN
work_min2jdpukzaf5gkj3v2kj2he4q	25	16	possibly	possibly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	25	17	throwing	throw	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	25	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	25	19	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	25	20	away	away	RB
work_min2jdpukzaf5gkj3v2kj2he4q	25	21	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	25	22	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	25	23	satisfies	satisfy	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	25	24	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	25	25	or	or	CC
work_min2jdpukzaf5gkj3v2kj2he4q	25	26	several	several	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	25	27	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	25	28	criteria	criterion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	25	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	26	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	26	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	26	3	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	26	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	26	5	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	26	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	26	7	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	26	8	most	most	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	26	9	prominent	prominent	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	26	10	criteria	criterion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	26	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	27	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	27	2	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	27	3	al-	al-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	27	4	location	location	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	27	6	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	27	7	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	27	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	27	9	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	10	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	27	11	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	12	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	27	13	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	27	14	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	27	15	own	own	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	27	16	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	17	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	27	18	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	19	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	27	20	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	27	21	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	27	22	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	27	23	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	27	24	n	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	27	25	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	27	26	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	27	27	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	28	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	27	29	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	27	30	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	27	31	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	27	32	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	27	33	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	27	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	28	1	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	28	2	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	3	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	28	4	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	28	5	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	28	6	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	28	7	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	28	8	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	28	10	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	28	11	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	28	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	28	13	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	14	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	28	15	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	16	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	28	17	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	18	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	28	19	own	own	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	28	20	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	21	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	22	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	23	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	28	24	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	25	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	28	26	as	as	RB
work_min2jdpukzaf5gkj3v2kj2he4q	28	27	high	high	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	28	28	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	28	30	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	31	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	28	32	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	28	33	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	34	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	28	35	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	28	36	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	37	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	28	38	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	39	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	28	40	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	28	41	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	29	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	29	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	29	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	29	4	rather	rather	RB
work_min2jdpukzaf5gkj3v2kj2he4q	29	5	large	large	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	29	6	body	body	NN
work_min2jdpukzaf5gkj3v2kj2he4q	29	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	29	8	literature	literature	NN
work_min2jdpukzaf5gkj3v2kj2he4q	29	9	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	29	10	fairly	fairly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	29	11	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	29	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	29	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	29	14	according	accord	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	29	15	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	29	16	these	these	DT
work_min2jdpukzaf5gkj3v2kj2he4q	29	17	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	29	18	criteria	criterion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	29	19	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	20	see	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	29	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	29	22	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	29	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	29	24	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	29	25	books	book	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	29	26	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	29	27	Robertson	Robertson	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	29	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	29	29	Webb	Webb	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	29	30	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	31	1998	1998	CD
work_min2jdpukzaf5gkj3v2kj2he4q	29	32	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	33	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	29	34	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	29	35	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	29	36	Taylor	Taylor	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	29	37	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	38	1996	1996	CD
work_min2jdpukzaf5gkj3v2kj2he4q	29	39	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	40	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	29	41	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	30	1	So	so	RB
work_min2jdpukzaf5gkj3v2kj2he4q	30	2	far	far	RB
work_min2jdpukzaf5gkj3v2kj2he4q	30	3	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	30	4	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	30	5	briefly	briefly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	30	6	discussed	discuss	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	30	7	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	30	8	justice	justice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	9	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	30	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	30	11	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	30	12	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	30	13	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	30	14	yet	yet	RB
work_min2jdpukzaf5gkj3v2kj2he4q	30	15	mentioned	mention	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	30	16	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	30	17	truth	truth	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	30	19	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	30	20	Taking	take	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	30	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	30	22	game	game	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	23	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	30	24	theoretic	theoretic	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	25	point	point	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	26	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	30	27	view	view	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	28	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	30	29	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	30	30	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	31	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	30	32	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	33	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	34	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	30	35	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	30	36	private	private	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	30	37	informa-	informa-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	30	38	tion	tion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	30	40	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	30	41	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	30	42	reported	report	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	30	43	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	30	44	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	30	45	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	30	46	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	30	47	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	30	48	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	31	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	31	2	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	31	3	like	like	VB
work_min2jdpukzaf5gkj3v2kj2he4q	31	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	31	5	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	31	6	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	31	7	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	31	8	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	31	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	31	10	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	31	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	31	12	sense	sense	NN
work_min2jdpukzaf5gkj3v2kj2he4q	31	13	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	31	14	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	31	15	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	31	16	motivated	motivate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	31	17	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	31	18	report	report	VB
work_min2jdpukzaf5gkj3v2kj2he4q	31	19	their	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	31	20	true	true	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	31	21	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	31	22	func-	func-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	31	23	tions	tion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	31	24	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	32	1	Like	like	IN
work_min2jdpukzaf5gkj3v2kj2he4q	32	2	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	32	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	32	4	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	32	5	idea	idea	NN
work_min2jdpukzaf5gkj3v2kj2he4q	32	6	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	32	7	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	32	8	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	32	9	lends	lend	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	32	10	it-	it-	DT
work_min2jdpukzaf5gkj3v2kj2he4q	32	11	self	self	NN
work_min2jdpukzaf5gkj3v2kj2he4q	32	12	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	32	13	many	many	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	32	14	interpretations	interpretation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	32	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	33	1	One	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	33	2	variation	variation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	33	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	33	4	referred	refer	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	33	5	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	33	6	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	33	7	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	33	8	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	33	9	proofness	proofness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	33	10	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	33	11	previous	previous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	33	12	papers	paper	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	33	13	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	33	14	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	33	15	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	33	16	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	33	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	34	1	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	34	2	2006	2006	CD
work_min2jdpukzaf5gkj3v2kj2he4q	34	3	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	34	4	2008	2008	CD
work_min2jdpukzaf5gkj3v2kj2he4q	34	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	34	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	34	7	assumes	assume	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	34	8	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	9	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	34	10	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	34	11	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	34	12	report	report	VB
work_min2jdpukzaf5gkj3v2kj2he4q	34	13	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	34	14	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	34	15	val-	val-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	34	16	uation	uation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	34	17	rather	rather	RB
work_min2jdpukzaf5gkj3v2kj2he4q	34	18	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	19	lie	lie	VB
work_min2jdpukzaf5gkj3v2kj2he4q	34	20	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	21	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	34	22	exist	exist	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	34	23	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	34	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	34	26	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	34	27	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	34	28	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	34	29	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	30	reporting	report	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	34	31	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	34	32	yields	yield	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	34	33	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	34	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	34	35	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	36	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	34	37	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	34	38	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	34	39	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	34	40	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	35	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	35	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	35	3	words	word	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	35	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	35	5	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	35	6	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	35	7	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	35	8	.	.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	35	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	35	10	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	35	11	...	...	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	35	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	35	13	players	player	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	35	14	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	35	15	risk	risk	NN
work_min2jdpukzaf5gkj3v2kj2he4q	35	16	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	35	17	averse	averse	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	35	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	35	19	never	never	RB
work_min2jdpukzaf5gkj3v2kj2he4q	35	20	strategically	strategically	RB
work_min2jdpukzaf5gkj3v2kj2he4q	35	21	announce	announce	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	35	22	false	false	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	35	23	mea-	mea-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	35	24	sures	sure	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	35	25	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	35	26	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	35	27	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	35	28	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	35	29	guarantee	guarantee	VB
work_min2jdpukzaf5gkj3v2kj2he4q	35	30	them	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	35	31	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	35	32	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	35	33	valued	value	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	35	34	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	35	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	36	1	...	...	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	37	1	Hence	hence	RB
work_min2jdpukzaf5gkj3v2kj2he4q	37	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	37	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	37	4	procedure	procedure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	37	6	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	7	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	37	8	proof	proof	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	37	9	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	37	10	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	37	11	player	player	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	12	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	37	13	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	37	14	strat-	strat-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	37	15	egy	egy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	16	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	37	17	dominates	dominate	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	37	18	his	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	37	19	true	true	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	37	20	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	21	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	37	23	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	37	24	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	37	25	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	37	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	37	27	Jones	Jones	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	37	28	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	37	29	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	37	30	Klamler	Klamler	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	37	31	2008	2008	CD
work_min2jdpukzaf5gkj3v2kj2he4q	37	32	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	37	33	page	page	NN
work_min2jdpukzaf5gkj3v2kj2he4q	37	34	362	362	CD
work_min2jdpukzaf5gkj3v2kj2he4q	37	35	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	37	36	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	38	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	38	2	foregoing	foregoing	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	38	3	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	38	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	38	5	strikingly	strikingly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	38	6	weak	weak	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	38	7	compared	compare	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	38	8	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	38	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	38	10	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	38	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	38	12	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	38	13	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	38	14	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	38	15	common	common	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	38	16	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	38	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	38	18	social	social	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	38	19	choice	choice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	38	20	lit-	lit-	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	38	21	erature	erature	NN
work_min2jdpukzaf5gkj3v2kj2he4q	38	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	39	1	Indeed	indeed	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	39	3	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	39	4	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	39	5	proofness	proofness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	39	6	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	39	7	usually	usually	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	8	taken	take	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	39	9	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	39	10	mean	mean	VB
work_min2jdpukzaf5gkj3v2kj2he4q	39	11	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	12	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	39	13	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	39	14	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	39	15	never	never	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	16	benefit	benefit	VB
work_min2jdpukzaf5gkj3v2kj2he4q	39	17	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	18	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	39	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	39	20	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	21	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	39	23	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	24	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	39	25	valua-	valua-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	39	26	tions	tion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	39	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	39	29	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	39	30	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	39	31	reporting	report	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	39	32	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	39	33	yields	yield	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	39	34	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	35	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	39	36	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	37	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	39	38	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	39	39	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	39	40	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	39	41	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	40	1	Put	put	VB
work_min2jdpukzaf5gkj3v2kj2he4q	40	2	another	another	DT
work_min2jdpukzaf5gkj3v2kj2he4q	40	3	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	40	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	40	5	truth	truth	NN
work_min2jdpukzaf5gkj3v2kj2he4q	40	6	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	40	7	telling	telling	NN
work_min2jdpukzaf5gkj3v2kj2he4q	40	8	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	40	9	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	40	10	dom-	dom-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	40	11	inant	inant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	40	12	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	40	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	41	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	41	2	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	41	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	41	4	worst	bad	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	41	5	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	41	6	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	41	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	41	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	41	10	sense	sense	NN
work_min2jdpukzaf5gkj3v2kj2he4q	41	11	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	12	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	41	13	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	41	14	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	41	15	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	41	16	benefit	benefit	VB
work_min2jdpukzaf5gkj3v2kj2he4q	41	17	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	18	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	41	19	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	41	20	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	21	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	41	22	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	41	23	fully	fully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	41	24	knowledge-	knowledge-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	41	25	able	able	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	41	26	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	27	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	41	28	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	41	29	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	41	30	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	41	31	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	41	32	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	41	33	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	42	1	It	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	42	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	42	3	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	42	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	42	5	pre-	pre-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	6	dominant	dominant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	42	7	one	one	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	42	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	42	10	computer	computer	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	11	science	science	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	12	literature	literature	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	42	14	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	42	15	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	42	16	par-	par-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	17	ticular	ticular	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	18	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	42	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	42	20	algorithmic	algorithmic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	42	21	mechanism	mechanism	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	22	design	design	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	23	literature	literature	NN
work_min2jdpukzaf5gkj3v2kj2he4q	42	24	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	42	25	Nisan	Nisan	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	42	26	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	42	27	Ronen	Ronen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	42	28	2001	2001	CD
work_min2jdpukzaf5gkj3v2kj2he4q	42	29	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	42	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	43	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	43	2	order	order	NN
work_min2jdpukzaf5gkj3v2kj2he4q	43	3	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	43	4	prevent	prevent	VB
work_min2jdpukzaf5gkj3v2kj2he4q	43	5	confusion	confusion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	43	6	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	43	7	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	43	8	avoid	avoid	VB
work_min2jdpukzaf5gkj3v2kj2he4q	43	9	using	use	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	43	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	43	11	term	term	NN
work_min2jdpukzaf5gkj3v2kj2he4q	43	12	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	43	13	strategy	strategy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	43	14	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	43	15	proof	proof	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	43	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	43	17	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	43	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	43	19	instead	instead	RB
work_min2jdpukzaf5gkj3v2kj2he4q	43	20	refer	refer	VB
work_min2jdpukzaf5gkj3v2kj2he4q	43	21	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	43	22	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	43	23	former	former	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	43	24	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	43	25	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	43	26	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	43	27	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	43	28	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	43	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	44	1	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	2	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	44	3	weak	weak	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	4	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	5	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	44	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	44	7	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	9	latter	latter	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	10	standard	standard	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	11	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	12	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	13	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	44	14	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	44	16	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	44	17	To	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	44	18	illustrate	illustrate	VB
work_min2jdpukzaf5gkj3v2kj2he4q	44	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	20	difference	difference	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	21	between	between	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	22	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	23	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	24	notions	notion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	44	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	44	26	con-	con-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	44	27	sider	sider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	44	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	29	most	most	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	44	30	basic	basic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	31	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	32	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	44	33	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	44	34	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	35	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	36	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	37	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	38	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	39	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	44	40	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	44	41	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	42	Cut	Cut	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	44	43	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	44	44	Choose	Choose	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	44	45	algorithm.1	algorithm.1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	44	46	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	47	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	48	cuts	cut	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	44	49	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	50	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	51	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	52	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	53	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	44	54	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	44	55	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	44	56	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	57	equal	equal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	58	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	59	according	accord	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	44	60	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	61	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	44	62	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	63	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	44	64	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	65	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	66	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	44	67	chooses	choose	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	44	68	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	69	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	70	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	44	71	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	44	72	prefers	prefer	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	44	73	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	44	74	giving	give	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	44	75	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	44	76	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	44	77	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	78	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	44	79	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	44	80	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	44	81	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	45	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	45	2	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	45	4	trivially	trivially	RB
work_min2jdpukzaf5gkj3v2kj2he4q	45	5	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	45	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	45	7	EF.2	EF.2	.
work_min2jdpukzaf5gkj3v2kj2he4q	45	8	It	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	45	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	45	10	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	45	11	weakly	weakly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	45	12	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	45	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	45	14	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	45	15	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	45	16	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	17	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	45	18	divides	divide	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	45	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	45	20	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	21	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	45	22	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	45	23	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	45	24	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	45	25	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	45	26	unequal	unequal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	45	27	accord-	accord-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	28	ing	e	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	45	29	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	45	30	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	45	31	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	32	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	45	33	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	34	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	45	35	may	may	MD
work_min2jdpukzaf5gkj3v2kj2he4q	45	36	prefer	prefer	VB
work_min2jdpukzaf5gkj3v2kj2he4q	45	37	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	45	38	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	45	39	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	45	40	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	45	41	worth	worth	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	45	42	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	45	43	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	45	44	agent	agent	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	45	45	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	45	46	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	46	1	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	46	2	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	46	3	clearly	clearly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	46	4	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	46	5	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	46	6	benefit	benefit	VB
work_min2jdpukzaf5gkj3v2kj2he4q	46	7	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	46	8	ly-	ly-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	46	9	ing	ing	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	46	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	47	1	However	however	RB
work_min2jdpukzaf5gkj3v2kj2he4q	47	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	47	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	47	4	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	47	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	47	6	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	47	7	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	47	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	48	1	Indeed	indeed	RB
work_min2jdpukzaf5gkj3v2kj2he4q	48	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	48	3	consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	48	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	48	5	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	6	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	48	7	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	48	9	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	48	10	simply	simply	RB
work_min2jdpukzaf5gkj3v2kj2he4q	48	11	like	like	VB
work_min2jdpukzaf5gkj3v2kj2he4q	48	12	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	48	13	receive	receive	VB
work_min2jdpukzaf5gkj3v2kj2he4q	48	14	as	as	RB
work_min2jdpukzaf5gkj3v2kj2he4q	48	15	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	16	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	17	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	48	18	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	48	20	whereas	whereas	IN
work_min2jdpukzaf5gkj3v2kj2he4q	48	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	48	22	single	single	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	23	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	48	24	minded	minded	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	25	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	26	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	48	27	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	48	28	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	48	29	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	30	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	48	31	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	48	32	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	33	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	48	34	0	0	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	48	35	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	48	36	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	48	37	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	48	38	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	48	39	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	48	40	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	48	41	small	small	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	42	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	48	43	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	48	44	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	45	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	48	46	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	48	47	may	may	MD
work_min2jdpukzaf5gkj3v2kj2he4q	48	48	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	48	49	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	48	50	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	48	51	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	48	52	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	48	53	cherry	cherry	NN
work_min2jdpukzaf5gkj3v2kj2he4q	48	54	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	48	55	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	49	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	49	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	49	3	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	49	4	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	49	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	49	6	protocol	protocol	NN
work_min2jdpukzaf5gkj3v2kj2he4q	49	7	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	49	8	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	49	9	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	49	10	receive	receive	VB
work_min2jdpukzaf5gkj3v2kj2he4q	49	11	half	half	NN
work_min2jdpukzaf5gkj3v2kj2he4q	49	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	49	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	49	14	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	49	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	50	1	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	50	2	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	50	3	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	50	4	do	do	VB
work_min2jdpukzaf5gkj3v2kj2he4q	50	5	better	better	RB
work_min2jdpukzaf5gkj3v2kj2he4q	50	6	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	50	7	reporting	report	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	50	8	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	50	9	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	50	10	values	value	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	50	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	50	12	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	50	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	14	0	0	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	50	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	16	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	50	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	50	19	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	20	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	50	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	22	1	1	LS
work_min2jdpukzaf5gkj3v2kj2he4q	50	23	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	24	equally	equally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	50	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	26	since	since	IN
work_min2jdpukzaf5gkj3v2kj2he4q	50	27	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	50	28	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	50	29	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	50	30	end	end	VB
work_min2jdpukzaf5gkj3v2kj2he4q	50	31	up	up	RP
work_min2jdpukzaf5gkj3v2kj2he4q	50	32	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	50	33	almost	almost	RB
work_min2jdpukzaf5gkj3v2kj2he4q	50	34	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	50	35	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	50	36	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	50	37	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	50	38	choosing	choose	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	50	39	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	50	40	cut	cut	VB
work_min2jdpukzaf5gkj3v2kj2he4q	50	41	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	50	42	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	43	0	0	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	50	44	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	45	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	50	46	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	47	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	48	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	49	�	�	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	50	50	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	50	51	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	50	52	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	50	53	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	51	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	51	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	51	3	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	51	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	51	5	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	51	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	51	7	design	design	NN
work_min2jdpukzaf5gkj3v2kj2he4q	51	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	51	9	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	51	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	51	11	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	51	12	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	51	13	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	51	14	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	51	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	52	1	To	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	3	best	good	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	52	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	5	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	52	6	knowledge	knowledge	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	7	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	52	8	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	52	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	10	first	first	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	11	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	52	12	do	do	VB
work_min2jdpukzaf5gkj3v2kj2he4q	52	13	so.3	so.3	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	52	14	However	however	RB
work_min2jdpukzaf5gkj3v2kj2he4q	52	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	52	16	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	52	17	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	52	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	19	major	major	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	20	obstacle	obstacle	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	21	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	52	22	must	must	MD
work_min2jdpukzaf5gkj3v2kj2he4q	52	23	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	52	24	circumvented	circumvent	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	52	25	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	52	26	regardless	regardless	RB
work_min2jdpukzaf5gkj3v2kj2he4q	52	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	28	strategic	strategic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	29	issues	issue	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	52	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	52	31	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	52	32	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	52	33	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	52	34	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	52	35	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	52	36	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	37	four	four	CD
work_min2jdpukzaf5gkj3v2kj2he4q	52	38	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	52	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	52	40	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	52	41	finding	find	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	52	42	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	43	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	44	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	52	45	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	52	46	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	47	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	48	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	49	bounded	bound	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	52	50	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	51	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	52	steps	step	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	52	53	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	52	54	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	55	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	56	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	57	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	52	58	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	52	59	long	long	RB
work_min2jdpukzaf5gkj3v2kj2he4q	52	60	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	52	61	standing	stand	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	52	62	open	open	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	52	63	prob-	prob-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	52	64	lem	lem	XX
work_min2jdpukzaf5gkj3v2kj2he4q	52	65	!	!	.
work_min2jdpukzaf5gkj3v2kj2he4q	53	1	See	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	53	2	Procaccia	Procaccia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	53	3	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	53	4	2009	2009	CD
work_min2jdpukzaf5gkj3v2kj2he4q	53	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	53	6	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	7	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	53	8	up	up	RB
work_min2jdpukzaf5gkj3v2kj2he4q	53	9	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	53	10	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	11	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	53	12	date	date	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	13	discussion.4	discussion.4	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	14	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	53	15	shall	shall	MD
work_min2jdpukzaf5gkj3v2kj2he4q	53	16	therefore	therefore	RB
work_min2jdpukzaf5gkj3v2kj2he4q	53	17	restrict	restrict	VB
work_min2jdpukzaf5gkj3v2kj2he4q	53	18	ourselves	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	53	19	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	20	specific	specific	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	53	21	classes	class	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	53	22	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	23	valu-	valu-	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	53	24	ation	ation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	25	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	53	26	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	53	27	efficiently	efficiently	RB
work_min2jdpukzaf5gkj3v2kj2he4q	53	28	finding	find	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	53	29	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	53	30	allocations	allocation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	53	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	53	32	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	53	33	non	non	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	53	34	-	-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	53	35	issue	issue	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	36	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	53	37	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	53	38	richness	richness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	39	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	40	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	53	41	problem	problem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	42	stems	stem	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	53	43	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	53	44	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	53	45	desire	desire	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	46	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	53	47	additionally	additionally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	53	48	achieve	achieve	VB
work_min2jdpukzaf5gkj3v2kj2he4q	53	49	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	53	50	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	54	1	Our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	54	2	results	result	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	54	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	55	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	55	2	first	first	RB
work_min2jdpukzaf5gkj3v2kj2he4q	55	3	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	55	4	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	55	5	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	55	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	56	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	56	2	restrict	restrict	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	56	3	ourselves	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	56	4	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	6	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	7	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	56	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	9	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	56	10	hold	hold	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	56	11	piece-	piece-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	12	wise	wise	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	13	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	14	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	15	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	56	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	56	17	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	56	18	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	56	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	56	20	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	21	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	22	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	56	23	inter-	inter-	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	56	24	ested	este	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	56	25	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	26	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	27	collection	collection	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	28	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	29	subintervals	subinterval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	56	30	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	31	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	56	32	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	56	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	56	34	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	56	35	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	56	36	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	37	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	38	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	39	marginal	marginal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	40	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	41	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	42	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	43	fractional	fractional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	56	44	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	45	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	56	46	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	56	47	subinterval	subinterval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	56	48	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	57	1	1This	1this	LS
work_min2jdpukzaf5gkj3v2kj2he4q	57	2	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	57	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	57	4	described	describe	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	57	5	here	here	RB
work_min2jdpukzaf5gkj3v2kj2he4q	57	6	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	57	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	57	8	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	57	9	taking	take	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	57	10	actions	action	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	57	11	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	57	12	equivalently	equivalently	RB
work_min2jdpukzaf5gkj3v2kj2he4q	57	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	57	14	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	57	15	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	57	16	acts	act	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	57	17	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	57	18	behalf	behalf	NN
work_min2jdpukzaf5gkj3v2kj2he4q	57	19	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	57	20	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	57	21	using	use	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	57	22	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	57	23	re-	re-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	57	24	ported	port	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	57	25	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	57	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	58	1	2Proportionality	2proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	58	2	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	58	3	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	58	4	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	58	5	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	58	6	coincide	coincide	NN
work_min2jdpukzaf5gkj3v2kj2he4q	58	7	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	58	8	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	58	9	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	58	10	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	58	11	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	58	12	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	58	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	58	14	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	58	15	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	58	16	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	58	17	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	58	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	59	1	3Just	3just	CD
work_min2jdpukzaf5gkj3v2kj2he4q	59	2	before	before	IN
work_min2jdpukzaf5gkj3v2kj2he4q	59	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	59	4	acceptance	acceptance	NN
work_min2jdpukzaf5gkj3v2kj2he4q	59	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	59	6	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	59	7	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	59	8	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	59	9	learned	learn	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	59	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	59	11	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	59	12	in-	in-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	59	13	dependent	dependent	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	59	14	working	work	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	59	15	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	59	16	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	59	17	asks	ask	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	59	18	similar	similar	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	59	19	questions	question	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	59	20	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	59	21	Mossel	Mossel	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	59	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	59	23	Tamuz	Tamuz	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	59	24	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	59	25	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	59	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	59	27	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	59	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	59	29	technical	technical	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	59	30	overlap	overlap	NN
work_min2jdpukzaf5gkj3v2kj2he4q	59	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	59	32	minimal	minimal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	59	33	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	60	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	60	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	60	3	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	60	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	60	5	loosely	loosely	RB
work_min2jdpukzaf5gkj3v2kj2he4q	60	6	related	related	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	60	7	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	60	8	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	60	9	Thomson	Thomson	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	60	10	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	60	11	2007	2007	CD
work_min2jdpukzaf5gkj3v2kj2he4q	60	12	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	60	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	60	14	who	who	WP
work_min2jdpukzaf5gkj3v2kj2he4q	60	15	showed	show	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	60	16	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	60	17	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	60	18	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	60	19	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	60	20	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	60	21	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	60	22	Pareto	Pareto	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	60	23	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	60	24	optimal	optimal	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	60	25	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	60	26	must	must	MD
work_min2jdpukzaf5gkj3v2kj2he4q	60	27	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	60	28	dictatorial	dictatorial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	60	29	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	60	30	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	60	31	slightly	slightly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	60	32	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	60	33	setting	setting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	60	34	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	60	35	pie	pie	NN
work_min2jdpukzaf5gkj3v2kj2he4q	60	36	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	60	37	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	60	38	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	61	1	4To	4to	CD
work_min2jdpukzaf5gkj3v2kj2he4q	61	2	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	61	3	precise	precise	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	61	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	61	5	previous	previous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	61	6	algorithmic	algorithmic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	61	7	work	work	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	8	assumed	assume	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	61	9	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	61	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	61	11	en-	en-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	61	12	tire	tire	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	14	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	61	15	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	61	16	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	61	17	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	61	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	61	19	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	61	20	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	61	21	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	61	22	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	61	23	seem	seem	VB
work_min2jdpukzaf5gkj3v2kj2he4q	61	24	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	61	25	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	61	26	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	61	27	signifi-	signifi-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	28	ca	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	61	29	nt	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	61	30	restriction	restriction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	31	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	61	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	61	33	context	context	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	34	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	61	35	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	61	36	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	62	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	62	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	4	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	62	5	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	62	6	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	7	parts	part	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	62	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	62	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	10	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	62	11	satisfy	satisfy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	62	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	13	cer-	cer-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	62	14	tain	tain	NN
work_min2jdpukzaf5gkj3v2kj2he4q	62	15	property	property	NN
work_min2jdpukzaf5gkj3v2kj2he4q	62	16	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	62	17	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	18	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	62	19	desires	desire	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	62	20	as	as	RB
work_min2jdpukzaf5gkj3v2kj2he4q	62	21	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	62	22	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	62	23	these	these	DT
work_min2jdpukzaf5gkj3v2kj2he4q	62	24	parts	part	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	62	25	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	62	26	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	62	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	63	1	Our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	63	2	main	main	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	63	3	result	result	NN
work_min2jdpukzaf5gkj3v2kj2he4q	63	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	63	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	63	6	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	63	7	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	63	8	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	63	9	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	63	10	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	63	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	63	12	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	63	13	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	63	14	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	63	15	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	63	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	63	17	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	63	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	63	19	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	63	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	63	21	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	63	22	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	63	23	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	63	24	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	63	25	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	64	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	64	2	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	64	3	requires	require	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	64	4	many	many	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	64	5	ingredients	ingredient	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	64	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	64	7	in-	in-	DT
work_min2jdpukzaf5gkj3v2kj2he4q	64	8	cluding	clude	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	64	9	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	64	10	seemingly	seemingly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	64	11	unlikely	unlikely	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	64	12	application	application	NN
work_min2jdpukzaf5gkj3v2kj2he4q	64	13	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	64	14	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	64	15	classic	classic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	64	16	Max-	Max-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	64	17	Flow	Flow	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	64	18	Min	Min	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	64	19	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	64	20	Cut	Cut	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	64	21	Theorem	Theorem	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	64	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	65	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	65	2	next	next	RB
work_min2jdpukzaf5gkj3v2kj2he4q	65	3	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	65	4	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	65	5	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	65	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	66	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	66	2	slightly	slightly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	66	3	re-	re-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	66	4	lax	lax	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	66	5	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	66	6	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	7	asking	ask	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	66	8	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	66	10	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	66	11	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	66	12	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	66	13	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	14	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	66	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	66	16	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	66	17	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	66	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	66	19	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	66	20	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	66	21	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	66	22	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	66	23	hope	hope	VB
work_min2jdpukzaf5gkj3v2kj2he4q	66	24	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	66	25	increase	increase	VB
work_min2jdpukzaf5gkj3v2kj2he4q	66	26	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	66	27	ex-	ex-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	66	28	pected	pecte	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	66	29	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	66	30	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	31	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	66	32	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	33	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	66	34	reports	report	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	66	35	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	66	36	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	66	37	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	66	38	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	67	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	67	2	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	3	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	67	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	67	5	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	67	6	present	present	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	67	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	67	8	simple	simple	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	9	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	10	algo-	algo-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	11	rithm	rithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	67	12	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	67	13	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	67	14	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	15	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	67	16	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	67	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	67	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	67	19	always	always	RB
work_min2jdpukzaf5gkj3v2kj2he4q	67	20	outputs	output	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	67	21	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	67	22	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	67	23	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	67	24	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	67	25	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	67	26	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	67	27	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	67	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	68	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	68	2	further	further	RB
work_min2jdpukzaf5gkj3v2kj2he4q	68	3	establish	establish	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	68	4	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	68	5	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	6	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	7	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	68	8	tractable	tractable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	9	under	under	IN
work_min2jdpukzaf5gkj3v2kj2he4q	68	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	11	relatively	relatively	RB
work_min2jdpukzaf5gkj3v2kj2he4q	68	12	weak	weak	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	13	assumption	assumption	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	14	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	68	15	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	16	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	68	17	hold	hold	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	68	18	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	19	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	20	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	21	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	68	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	68	23	that	that	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	24	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	68	25	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	68	26	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	27	marginal	marginal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	28	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	29	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	68	30	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	31	subinter-	subinter-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	32	val	val	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	33	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	68	34	interest	interest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	35	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	68	36	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	68	37	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	68	38	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	68	39	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	69	1	Preliminaries	preliminary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	69	2	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	69	3	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	69	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	69	5	heterogeneous	heterogeneous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	69	6	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	69	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	69	8	represented	represent	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	69	9	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	69	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	69	11	inter-	inter-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	69	12	val	val	NN
work_min2jdpukzaf5gkj3v2kj2he4q	69	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	69	14	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	69	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	69	16	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	69	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	69	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	70	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	70	2	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	70	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	70	4	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	70	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	70	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	70	7	finite	finite	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	70	8	union	union	NN
work_min2jdpukzaf5gkj3v2kj2he4q	70	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	70	10	subintervals	subinterval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	70	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	70	12	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	70	13	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	70	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	70	15	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	70	16	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	70	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	71	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	71	2	sometimes	sometimes	RB
work_min2jdpukzaf5gkj3v2kj2he4q	71	3	abuse	abuse	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	71	4	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	71	5	terminology	terminology	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	6	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	71	7	treating	treat	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	71	8	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	71	9	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	71	11	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	12	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	71	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	71	14	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	15	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	71	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	71	17	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	71	18	inclusion	inclusion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	19	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	71	20	maximal	maximal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	21	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	71	22	inter-	inter-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	71	23	vals	val	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	71	24	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	71	25	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	71	26	contains	contain	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	71	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	72	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	72	2	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	72	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	72	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	72	5	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	72	6	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	72	7	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	72	8	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	72	9	x	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	72	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	72	11	y	y	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	72	12	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	72	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	72	14	denoted	denote	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	72	15	len(I	len(i	NN
work_min2jdpukzaf5gkj3v2kj2he4q	72	16	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	72	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	72	18	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	72	19	y	y	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	72	20	−	−	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	72	21	x.	x.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	73	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	73	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	73	3	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	73	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	73	5	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	73	6	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	73	7	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	73	8	denote	denote	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	73	9	len(X	len(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	73	10	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	73	11	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	73	12	∑	∑	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	73	13	I∈X	I∈X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	73	14	len(I	len(I	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	73	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	73	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	74	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	74	2	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	74	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	74	4	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	74	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	74	6	denoted	denote	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	74	7	N	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	74	8	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	74	9	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	74	10	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	74	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	74	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	75	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	76	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	77	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	77	2	n	n	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	77	3	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	77	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	78	1	Each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	78	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	78	4	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	78	5	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	78	6	holds	hold	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	78	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	78	8	private	private	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	78	9	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	10	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	11	Vi	Vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	78	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	78	13	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	78	14	maps	map	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	78	15	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	78	16	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	78	17	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	78	18	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	19	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	78	20	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	78	21	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	22	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	78	23	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	78	24	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	78	25	them	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	78	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	79	1	Formally	formally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	79	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	79	3	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	79	4	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	79	5	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	79	6	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	79	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	79	8	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	79	9	density	density	NN
work_min2jdpukzaf5gkj3v2kj2he4q	79	10	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	79	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	79	12	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	79	13	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	79	14	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	79	15	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	79	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	79	17	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	79	18	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	79	19	→	→	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	79	20	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	79	21	0,∞	0,∞	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	79	22	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	79	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	79	24	that	that	DT
work_min2jdpukzaf5gkj3v2kj2he4q	79	25	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	79	26	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	79	27	continuous	continuous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	79	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	80	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	80	2	func-	func-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	80	3	tion	tion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	80	4	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	80	5	characterizes	characterize	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	80	6	how	how	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	80	7	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	80	8	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	80	9	assigns	assign	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	80	10	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	80	11	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	80	12	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	80	13	parts	part	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	80	14	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	80	15	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	80	16	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	80	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	81	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	81	2	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	81	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	81	5	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	6	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	81	7	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	8	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	81	9	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	81	10	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	11	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	81	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	81	13	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	81	14	defined	define	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	81	15	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	81	16	Vi(X	Vi(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	81	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	81	18	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	81	19	∫	∫	:
work_min2jdpukzaf5gkj3v2kj2he4q	81	20	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	21	vi(x)dx	vi(x)dx	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	81	22	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	81	23	∑	∑	.
work_min2jdpukzaf5gkj3v2kj2he4q	81	24	I∈X	i∈x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	81	25	∫	∫	.
work_min2jdpukzaf5gkj3v2kj2he4q	81	26	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	81	27	vi(x)dx	vi(x)dx	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	81	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	82	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	82	2	note	note	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	82	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	82	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	82	5	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	82	6	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	82	7	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	82	8	additive	additive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	82	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	82	10	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	83	1	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	83	2	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	83	3	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	83	4	disjoint	disjoint	NN
work_min2jdpukzaf5gkj3v2kj2he4q	83	5	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	83	6	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	7	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	83	8	Y	Y	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	83	10	Vi(X∪Y	Vi(X∪Y	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	12	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	83	13	Vi(X	Vi(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	14	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	15	+	+	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	16	Vi(Y	Vi(Y	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	83	19	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	83	20	non	non	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	83	21	-	-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	83	22	atomic	atomic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	83	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	83	24	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	83	25	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	83	26	Vi([x	Vi([x	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	83	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	83	28	x	x	LS
work_min2jdpukzaf5gkj3v2kj2he4q	83	29	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	30	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	31	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	83	32	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	83	33	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	83	34	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	83	35	x	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	83	36	∈	∈	IN
work_min2jdpukzaf5gkj3v2kj2he4q	83	37	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	38	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	83	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	83	40	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	83	41	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	83	42	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	84	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	84	2	last	last	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	84	3	property	property	NN
work_min2jdpukzaf5gkj3v2kj2he4q	84	4	implies	imply	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	84	5	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	84	6	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	84	7	do	do	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	84	8	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	84	9	have	have	VB
work_min2jdpukzaf5gkj3v2kj2he4q	84	10	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	84	11	worry	worry	VB
work_min2jdpukzaf5gkj3v2kj2he4q	84	12	about	about	IN
work_min2jdpukzaf5gkj3v2kj2he4q	84	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	84	14	boundaries	boundary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	84	15	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	84	16	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	84	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	84	18	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	84	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	84	20	open	open	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	84	21	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	84	22	closed	close	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	84	23	in-	in-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	84	24	tervals	terval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	84	25	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	84	26	identical	identical	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	84	27	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	84	28	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	84	29	purposes	purpose	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	84	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	85	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	85	2	further	further	RB
work_min2jdpukzaf5gkj3v2kj2he4q	85	3	assume	assume	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	85	4	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	85	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	85	6	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	85	7	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	85	8	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	85	9	normalized	normalized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	85	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	85	11	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	86	1	Vi([0	Vi([0	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	86	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	86	3	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	86	4	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	86	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	86	6	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	86	7	∫	∫	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	86	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	86	9	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	86	10	vi(x)dx	vi(x)dx	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	86	11	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	86	12	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	86	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	87	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	87	2	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	3	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	87	4	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	87	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	87	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	87	7	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	8	f	f	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	87	9	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	87	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	87	11	valua-	valua-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	12	tion	tion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	13	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	14	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	87	15	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	87	16	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	17	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	87	18	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	87	19	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	87	20	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	87	21	A1	A1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	87	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	87	23	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	88	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	89	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	90	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	90	2	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	90	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	90	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	90	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	90	6	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	90	7	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	90	8	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	90	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	90	10	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	90	11	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	90	12	pairwise	pairwise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	90	13	disjoint	disjoint	NN
work_min2jdpukzaf5gkj3v2kj2he4q	90	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	91	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	91	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	91	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	91	4	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	91	5	N	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	91	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	91	7	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	91	8	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	91	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	91	10	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	91	11	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	91	12	agent	agent	VB
work_min2jdpukzaf5gkj3v2kj2he4q	91	13	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	91	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	91	15	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	91	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	91	17	rest	rest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	91	18	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	91	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	91	20	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	91	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	91	22	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	91	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	91	24	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	91	25	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	91	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	91	27	1	1	LS
work_min2jdpukzaf5gkj3v2kj2he4q	91	28	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	91	29	\	\	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	91	30	⋃	⋃	NN
work_min2jdpukzaf5gkj3v2kj2he4q	91	31	i∈N	i∈N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	91	32	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	91	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	91	34	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	91	35	thrown	throw	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	91	36	away	away	RB
work_min2jdpukzaf5gkj3v2kj2he4q	91	37	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	92	1	Here	here	RB
work_min2jdpukzaf5gkj3v2kj2he4q	92	2	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	92	3	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	92	4	as-	as-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	92	5	suming	sum	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	92	6	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	92	7	disposal	disposal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	92	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	92	9	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	92	10	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	92	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	92	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	92	13	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	92	14	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	92	15	throw	throw	VB
work_min2jdpukzaf5gkj3v2kj2he4q	92	16	away	away	RP
work_min2jdpukzaf5gkj3v2kj2he4q	92	17	resources	resource	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	92	18	without	without	IN
work_min2jdpukzaf5gkj3v2kj2he4q	92	19	incurring	incur	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	92	20	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	92	21	cost	cost	NN
work_min2jdpukzaf5gkj3v2kj2he4q	92	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	93	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	93	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	93	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	93	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	93	5	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	93	6	A1	A1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	93	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	93	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	94	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	95	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	96	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	96	2	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	96	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	96	4	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	96	5	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	96	6	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	96	7	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	96	8	i	i	NN
work_min2jdpukzaf5gkj3v2kj2he4q	96	9	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	96	10	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	96	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	96	12	Vi(Ai	vi(ai	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	96	13	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	96	14	≥	≥	NN
work_min2jdpukzaf5gkj3v2kj2he4q	96	15	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	96	16	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	96	17	n	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	96	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	96	19	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	96	20	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	96	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	96	22	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	96	23	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	96	24	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	96	25	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	96	26	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	96	27	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	96	28	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	96	29	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	96	30	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	96	31	n)-fraction	n)-fraction	CD
work_min2jdpukzaf5gkj3v2kj2he4q	96	32	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	96	33	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	96	34	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	96	35	according	accord	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	96	36	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	96	37	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	96	38	own	own	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	96	39	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	96	40	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	97	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	97	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	97	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	97	5	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	6	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	97	7	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	8	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	97	9	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	97	10	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	97	11	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	97	12	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	97	13	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	14	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	15	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	97	16	i	i	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	97	18	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	97	19	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	97	20	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	97	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	97	22	Vi(Ai	vi(ai	LS
work_min2jdpukzaf5gkj3v2kj2he4q	97	23	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	97	24	≥	≥	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	25	Vi(Aj	vi(aj	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	26	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	97	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	97	28	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	97	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	97	30	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	97	31	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	32	prefers	prefer	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	97	33	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	97	34	own	own	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	97	35	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	36	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	37	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	38	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	39	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	97	40	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	41	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	42	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	43	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	97	44	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	97	45	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	97	46	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	97	47	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	97	48	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	98	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	98	2	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	98	3	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	98	4	resp	resp	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	98	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	98	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	98	7	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	98	8	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	98	9	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	98	10	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	98	11	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	98	12	al-	al-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	98	13	ways	way	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	98	14	returns	return	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	98	15	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	98	16	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	98	17	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	98	18	resp	resp	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	98	19	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	98	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	98	21	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	98	22	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	98	23	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	98	24	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	99	1	0	0	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	99	2	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	3	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	4	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	5	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	6	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	7	Figure	figure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	99	9	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	99	10	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	99	11	illustration	illustration	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	99	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	99	14	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	15	density	density	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	16	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	17	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	99	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	99	19	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	20	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	99	21	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	99	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	100	1	Note	note	VB
work_min2jdpukzaf5gkj3v2kj2he4q	100	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	100	3	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	100	4	n	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	100	5	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	100	6	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	100	7	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	100	8	implies	imply	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	100	9	envy-	envy-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	100	10	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	100	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	101	1	Indeed	indeed	RB
work_min2jdpukzaf5gkj3v2kj2he4q	101	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	101	3	Vi(Ai	vi(ai	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	101	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	101	5	+	+	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	101	6	Vi(A3−i	Vi(A3−i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	101	7	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	101	8	≤	≤	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	101	9	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	101	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	101	11	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	101	12	hence	hence	RB
work_min2jdpukzaf5gkj3v2kj2he4q	101	13	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	101	14	Vi(Ai	vi(ai	LS
work_min2jdpukzaf5gkj3v2kj2he4q	101	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	101	16	≥	≥	UH
work_min2jdpukzaf5gkj3v2kj2he4q	101	17	1/2	1/2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	101	18	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	101	19	Vi(A3−i	Vi(A3−i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	101	20	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	101	21	≤	≤	NN
work_min2jdpukzaf5gkj3v2kj2he4q	101	22	1/2	1/2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	101	23	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	102	1	Under	under	IN
work_min2jdpukzaf5gkj3v2kj2he4q	102	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	102	3	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	102	4	dis-	dis-	IN
work_min2jdpukzaf5gkj3v2kj2he4q	102	5	posal	posal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	102	6	assumption	assumption	NN
work_min2jdpukzaf5gkj3v2kj2he4q	102	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	102	8	converse	converse	NN
work_min2jdpukzaf5gkj3v2kj2he4q	102	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	102	10	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	102	11	true	true	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	102	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	103	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	103	2	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	103	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	103	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	103	5	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	103	6	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	103	7	throws	throw	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	103	8	away	away	RB
work_min2jdpukzaf5gkj3v2kj2he4q	103	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	103	10	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	103	11	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	103	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	103	13	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	103	14	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	103	15	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	103	16	pro-	pro-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	103	17	portional	portional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	103	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	104	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	2	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	104	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	104	4	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	104	5	n	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	6	>	>	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	7	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	104	8	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	9	neither	neither	CC
work_min2jdpukzaf5gkj3v2kj2he4q	104	10	implies	implie	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	104	11	nor	nor	CC
work_min2jdpukzaf5gkj3v2kj2he4q	104	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	104	13	implied	imply	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	104	14	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	15	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	16	-	-	:
work_min2jdpukzaf5gkj3v2kj2he4q	104	17	freeness.5	freeness.5	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	18	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	104	19	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	20	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	104	21	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	104	22	f	f	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	104	23	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	104	24	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	104	25	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	26	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	104	27	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	104	28	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	29	lies	lie	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	104	30	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	104	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	104	32	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	104	33	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	104	34	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	35	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	36	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	37	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	104	38	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	104	39	worth	worth	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	104	40	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	104	41	accord-	accord-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	104	42	ing	e	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	104	43	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	44	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	104	45	real	real	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	104	46	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	47	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	104	48	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	104	49	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	104	50	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	51	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	104	52	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	53	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	104	54	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	104	55	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	104	56	was	be	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	104	57	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	104	58	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	104	59	reporting	report	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	104	60	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	104	61	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	105	1	Formally	formally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	105	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	105	3	denote	denote	NN
work_min2jdpukzaf5gkj3v2kj2he4q	105	4	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	105	5	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	105	6	fi(V1	fi(V1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	105	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	105	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	106	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	107	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	108	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	108	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	108	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	108	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	108	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	108	6	let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	108	7	V	v	NN
work_min2jdpukzaf5gkj3v2kj2he4q	108	8	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	108	9	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	108	10	class	class	NN
work_min2jdpukzaf5gkj3v2kj2he4q	108	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	108	12	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	108	13	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	108	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	109	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	109	2	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	109	3	f	f	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	109	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	109	5	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	109	6	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	109	7	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	109	8	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	109	9	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	109	10	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	109	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	109	12	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	109	13	collection	collection	NN
work_min2jdpukzaf5gkj3v2kj2he4q	109	14	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	109	15	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	109	16	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	109	17	V1	V1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	109	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	109	19	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	110	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	111	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	112	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	112	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	112	3	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	112	4	V	V	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	112	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	112	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	112	7	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	112	8	V	v	NN
work_min2jdpukzaf5gkj3v2kj2he4q	112	9	′i	′i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	112	10	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	112	11	V	v	NN
work_min2jdpukzaf5gkj3v2kj2he4q	112	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	112	13	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	112	14	holds	hold	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	112	15	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	112	16	Vi(fi(V1	vi(fi(v1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	112	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	112	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	113	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	114	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	115	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	115	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	115	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	115	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	115	5	≥	≥	UH
work_min2jdpukzaf5gkj3v2kj2he4q	115	6	Vi(fi(V1	vi(fi(v1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	115	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	115	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	116	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	117	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	118	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	118	2	Vi−1,V	Vi−1,V	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	118	3	′i	′i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	118	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	118	5	Vi+1	Vi+1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	118	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	118	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	119	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	120	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	121	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	121	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	121	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	121	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	121	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	122	1	Deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	122	2	Algorithms	Algorithms	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	3	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	122	4	Piecewise	Piecewise	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	5	Uniform	Uniform	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	6	Valuations	Valuations	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	7	As	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	8	noted	note	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	122	9	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	122	11	introduction	introduction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	122	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	122	13	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	14	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	122	15	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	122	16	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	122	17	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	122	18	known	know	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	122	19	bounded	bound	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	122	20	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	122	21	proportional	proportional	NN
work_min2jdpukzaf5gkj3v2kj2he4q	122	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	122	23	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	24	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	122	25	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	122	26	al-	al-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	122	27	gorithms	gorithms	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	122	28	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	29	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	122	30	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	31	four	four	CD
work_min2jdpukzaf5gkj3v2kj2he4q	122	32	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	122	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	122	34	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	122	35	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	36	one	one	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	122	37	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	122	38	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	122	39	con-	con-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	122	40	cerned	cerne	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	122	41	about	about	IN
work_min2jdpukzaf5gkj3v2kj2he4q	122	42	strategic	strategic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	122	43	issues	issue	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	122	44	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	123	1	Therefore	therefore	RB
work_min2jdpukzaf5gkj3v2kj2he4q	123	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	123	3	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	123	4	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	123	5	section	section	NN
work_min2jdpukzaf5gkj3v2kj2he4q	123	6	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	123	7	restrict	restrict	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	123	8	ourselves	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	123	9	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	123	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	123	11	specific	specific	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	123	12	class	class	NN
work_min2jdpukzaf5gkj3v2kj2he4q	123	13	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	123	14	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	123	15	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	123	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	124	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	124	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	124	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	124	5	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	6	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	7	Vi	Vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	124	8	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	124	9	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	10	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	124	11	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	12	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	124	13	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	124	14	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	15	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	124	16	corresponding	correspond	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	124	17	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	18	density	density	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	19	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	20	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	124	21	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	124	22	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	23	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	124	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	124	25	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	124	26	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	124	27	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	124	28	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	124	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	124	30	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	124	31	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	124	32	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	124	33	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	124	34	partitioned	partition	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	124	35	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	36	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	124	37	finite	finite	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	124	38	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	39	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	40	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	124	41	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	124	42	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	43	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	124	44	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	124	45	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	124	46	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	124	47	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	124	48	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	124	49	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	125	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	125	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	125	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	125	4	Vi	Vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	125	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	125	6	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	125	7	uniform	uniform	NN
work_min2jdpukzaf5gkj3v2kj2he4q	125	8	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	125	9	moreover	moreover	RB
work_min2jdpukzaf5gkj3v2kj2he4q	125	10	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	125	11	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	125	12	either	either	CC
work_min2jdpukzaf5gkj3v2kj2he4q	125	13	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	125	14	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	125	15	c	c	NN
work_min2jdpukzaf5gkj3v2kj2he4q	125	16	∈	∈	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	125	17	R+	r+	NN
work_min2jdpukzaf5gkj3v2kj2he4q	125	18	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	125	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	125	20	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	125	21	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	125	22	across	across	IN
work_min2jdpukzaf5gkj3v2kj2he4q	125	23	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	125	24	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	125	25	or	or	CC
work_min2jdpukzaf5gkj3v2kj2he4q	125	26	zero	zero	CD
work_min2jdpukzaf5gkj3v2kj2he4q	125	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	126	1	See	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	126	2	Figure	figure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	126	3	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	126	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	126	5	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	126	6	illustration	illustration	NN
work_min2jdpukzaf5gkj3v2kj2he4q	126	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	127	1	Piecewise	Piecewise	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	127	2	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	127	3	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	4	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	127	5	imply	imply	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	127	6	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	127	7	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	8	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	127	9	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	127	10	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	127	11	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	127	12	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	127	13	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	127	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	127	15	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	127	16	finite	finite	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	127	17	union	union	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	18	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	127	19	inter-	inter-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	127	20	vals	val	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	127	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	127	22	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	127	23	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	127	24	call	call	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	127	25	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	127	26	reference	reference	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	27	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	28	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	127	29	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	30	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	127	31	denote	denote	NN
work_min2jdpukzaf5gkj3v2kj2he4q	127	32	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	127	33	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	127	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	128	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	128	2	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	128	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	128	4	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	128	5	Figure	figure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	128	6	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	128	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	128	8	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	128	9	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	128	10	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	128	11	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	128	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	128	13	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	128	14	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	128	15	∪	∪	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	128	16	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	128	17	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	128	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	128	19	0.85	0.85	CD
work_min2jdpukzaf5gkj3v2kj2he4q	128	20	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	128	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	129	1	Given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	129	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	129	3	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	129	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	129	5	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	129	6	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	129	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	129	8	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	129	9	holds	hold	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	129	10	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	129	11	Vi(X	Vi(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	129	12	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	129	13	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	129	14	len(X	len(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	129	15	∩	∩	NN
work_min2jdpukzaf5gkj3v2kj2he4q	129	16	Ui)/len(Ui	ui)/len(ui	NN
work_min2jdpukzaf5gkj3v2kj2he4q	129	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	129	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	130	1	From	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	3	computational	computational	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	130	4	perspective	perspective	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	130	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	7	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	10	input	input	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	11	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	14	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	130	15	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	130	16	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	130	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	18	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	19	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	20	bits	bit	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	130	21	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	130	22	define	define	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	130	23	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	24	boundaries	boundary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	130	25	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	26	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	27	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	130	28	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	130	30	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	130	31	’	’	POS
work_min2jdpukzaf5gkj3v2kj2he4q	130	32	reference	reference	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	33	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	130	34	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	130	35	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	130	36	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	131	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	131	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	131	3	rest	rest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	131	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	131	5	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	131	6	section	section	NN
work_min2jdpukzaf5gkj3v2kj2he4q	131	7	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	131	8	assume	assume	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	131	9	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	131	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	131	11	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	131	12	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	131	13	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	131	14	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	131	15	uniform	uniform	NN
work_min2jdpukzaf5gkj3v2kj2he4q	131	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	132	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	132	2	believe	believe	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	132	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	132	4	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	132	5	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	132	6	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	132	7	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	132	8	very	very	RB
work_min2jdpukzaf5gkj3v2kj2he4q	132	9	natural	natural	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	132	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	133	1	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	3	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	133	4	have	have	VB
work_min2jdpukzaf5gkj3v2kj2he4q	133	5	such	such	PDT
work_min2jdpukzaf5gkj3v2kj2he4q	133	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	7	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	8	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	9	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	10	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	133	11	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	12	simply	simply	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	13	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	15	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	133	16	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	18	good	good	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	19	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	133	20	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	133	21	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	22	certain	certain	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	23	property	property	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	25	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	27	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	28	child	child	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	29	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	30	5If	5if	CD
work_min2jdpukzaf5gkj3v2kj2he4q	133	31	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	32	disposal	disposal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	33	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	34	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	35	assumed	assume	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	133	36	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	37	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	38	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	40	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	41	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	42	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	43	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	44	allo-	allo-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	133	45	cated	cat	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	133	46	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	47	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	48	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	49	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	133	50	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	51	implies	imply	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	52	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	53	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	54	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	55	n.	n.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	133	56	likes	like	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	57	portions	portion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	133	58	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	59	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	133	60	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	61	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	133	62	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	133	63	chocolate	chocolate	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	64	toppings	topping	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	133	65	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	133	66	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	133	67	wants	want	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	133	68	as	as	RB
work_min2jdpukzaf5gkj3v2kj2he4q	133	69	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	70	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	71	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	72	chocolate	chocolate	NN
work_min2jdpukzaf5gkj3v2kj2he4q	133	73	toppings	topping	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	133	74	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	133	75	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	133	76	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	134	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	134	2	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	134	3	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	134	4	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	134	5	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	134	6	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	134	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	134	8	next	next	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	134	9	section	section	NN
work_min2jdpukzaf5gkj3v2kj2he4q	134	10	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	134	11	ran-	ran-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	134	12	domized	domize	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	134	13	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	134	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	135	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	135	2	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	135	3	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	135	4	Before	before	IN
work_min2jdpukzaf5gkj3v2kj2he4q	135	5	introducing	introduce	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	135	6	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	135	7	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	135	8	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	135	9	present	present	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	135	10	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	135	11	required	require	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	135	12	notation	notation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	135	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	136	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	136	2	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	136	3	⊆	⊆	.
work_min2jdpukzaf5gkj3v2kj2he4q	136	4	N	n	CC
work_min2jdpukzaf5gkj3v2kj2he4q	136	5	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	136	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	136	7	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	136	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	136	9	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	136	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	136	11	let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	136	12	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	136	13	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	136	14	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	136	15	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	136	16	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	136	17	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	136	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	137	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	137	2	D(S	d(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	137	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	137	4	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	137	6	denote	denote	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	137	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	137	8	portions	portion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	137	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	137	10	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	137	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	137	12	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	137	13	valued	value	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	137	14	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	137	15	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	137	16	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	137	17	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	137	18	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	137	19	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	137	20	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	21	Formally	Formally	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	137	23	D(S	d(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	137	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	137	25	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	137	26	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	137	27	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	137	28	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	137	29	⋃	⋃	``
work_min2jdpukzaf5gkj3v2kj2he4q	137	30	i∈S	i∈S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	31	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	32	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	137	33	∩X	∩X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	137	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	137	35	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	137	36	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	137	37	itself	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	137	38	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	137	39	union	union	NN
work_min2jdpukzaf5gkj3v2kj2he4q	137	40	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	137	41	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	137	42	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	138	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	138	2	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	138	4	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	138	6	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	138	7	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	138	9	X))/|S|	x))/|s|	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	10	denote	denote	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	138	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	138	12	average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	138	13	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	14	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	15	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	138	16	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	17	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	138	18	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	138	19	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	20	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	138	21	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	138	22	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	138	23	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	24	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	25	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	26	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	138	27	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	138	28	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	29	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	138	30	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	138	32	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	138	33	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	34	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	35	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	36	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	37	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	138	38	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	39	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	40	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	138	41	allocates	allocate	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	138	42	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	43	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	138	44	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	45	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	46	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	47	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	138	48	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	49	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	50	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	51	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	52	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	138	53	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	54	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	138	55	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	138	56	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	138	57	comprised	comprise	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	138	58	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	138	59	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	138	60	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	138	61	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	138	62	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	139	1	Clearly	clearly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	139	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	139	3	requires	require	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	139	4	allocating	allocate	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	139	5	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	139	6	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	139	7	D(S	D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	139	9	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	10	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	139	11	since	since	IN
work_min2jdpukzaf5gkj3v2kj2he4q	139	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	139	13	total	total	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	139	14	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	139	15	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	139	16	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	139	17	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	139	18	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	139	19	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	139	21	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	22	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	139	23	·	·	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	139	24	|S|	|S|	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	139	25	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	139	26	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	139	28	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	139	29	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	139	30	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	139	31	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	140	1	Sup-	Sup-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	140	2	pose	pose	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	140	3	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	4	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	140	5	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	6	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	8	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	9	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	140	11	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	140	12	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	140	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	14	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	16	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	18	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	140	19	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	140	20	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	21	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	140	22	U2	u2	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	23	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	140	24	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	25	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	27	0.2	0.2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	28	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	29	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	140	30	agents	agent	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	140	31	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	32	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	140	33	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	34	receiving	receive	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	140	35	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	36	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	37	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	38	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	39	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	40	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	140	41	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	42	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	43	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	44	0.2	0.2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	45	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	46	respectively	respectively	RB
work_min2jdpukzaf5gkj3v2kj2he4q	140	47	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	140	48	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	140	49	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	140	50	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	51	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	140	52	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	140	53	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	140	54	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	55	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	140	56	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	57	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	58	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	59	0.2],U2	0.2],U2	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	140	60	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	140	61	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	62	0.3	0.3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	63	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	140	64	0.7	0.7	CD
work_min2jdpukzaf5gkj3v2kj2he4q	140	65	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	140	66	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	140	67	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	140	68	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	140	69	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	140	70	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	140	71	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	140	72	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	141	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	2	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	3	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	5	n	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	141	6	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	141	7	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	8	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	9	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	10	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	141	11	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	141	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	13	recursive	recursive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	14	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	15	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	141	16	finds	find	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	141	17	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	18	sub-	sub-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	19	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	21	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	141	22	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	23	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	24	certain	certain	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	25	property	property	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	141	27	makes	make	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	141	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	29	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	30	decision	decision	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	31	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	32	that	that	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	33	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	141	35	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	141	36	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	141	37	makes	make	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	141	38	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	39	recursive	recursive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	141	40	call	call	NN
work_min2jdpukzaf5gkj3v2kj2he4q	141	41	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	141	42	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	43	remaining	remain	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	141	44	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	141	45	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	141	46	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	141	47	remaining	remain	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	141	48	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	141	49	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	142	1	Specifi-	specifi-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	2	cally	cally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	142	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	142	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	142	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	142	6	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	142	7	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	142	9	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	142	10	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	142	11	⊆	⊆	:
work_min2jdpukzaf5gkj3v2kj2he4q	142	12	N	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	142	14	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	142	15	remaining	remain	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	142	16	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	17	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	142	18	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	19	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	142	20	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	142	21	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	142	22	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	142	24	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	142	25	find	find	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	142	26	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	142	27	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	28	S′	S′	.
work_min2jdpukzaf5gkj3v2kj2he4q	142	29	⊆	⊆	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	142	30	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	31	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	142	32	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	142	33	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	142	34	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	142	35	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	142	36	avg(S′,X	avg(s′,x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	142	37	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	142	38	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	143	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	143	2	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	143	3	give	give	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	143	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	143	5	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	143	6	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	143	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	143	8	D(S′,X	D(S′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	143	9	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	143	10	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	143	11	S′.	s′.	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	144	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	144	2	recurse	recurse	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	144	3	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	144	4	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	144	5	\S′	\S′	:
work_min2jdpukzaf5gkj3v2kj2he4q	144	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	144	7	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	144	8	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	144	9	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	144	10	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	144	11	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	144	12	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	144	13	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	144	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	144	15	S′	S′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	144	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	144	17	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	145	1	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	145	2	\D(S′,X	\D(S′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	145	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	145	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	146	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	146	2	pseudocode	pseudocode	NN
work_min2jdpukzaf5gkj3v2kj2he4q	146	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	146	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	146	5	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	146	6	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	146	7	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	146	8	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	146	9	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	146	10	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	146	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	147	1	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	147	2	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	147	3	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	147	4	V1	v1	FW
work_min2jdpukzaf5gkj3v2kj2he4q	147	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	147	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	148	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	149	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	150	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	150	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	150	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	150	4	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	150	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	151	1	SUBROUTINE({1	SUBROUTINE({1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	151	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	151	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	152	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	153	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	154	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	154	2	n	n	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	154	3	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	154	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	154	5	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	154	6	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	154	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	154	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	154	9	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	154	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	154	11	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	154	12	V1	V1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	154	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	154	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	155	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	156	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	157	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	157	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	157	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	157	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	157	5	SUBROUTINE(S	SUBROUTINE(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	157	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	157	7	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	157	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	157	9	V1	V1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	157	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	157	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	158	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	159	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	160	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	160	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	160	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	160	4	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	160	5	1	1	LS
work_min2jdpukzaf5gkj3v2kj2he4q	160	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	161	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	161	2	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	161	3	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	161	4	∅	∅	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	161	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	161	6	return	return	NN
work_min2jdpukzaf5gkj3v2kj2he4q	161	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	162	1	2	2	LS
work_min2jdpukzaf5gkj3v2kj2he4q	162	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	163	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	163	2	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	163	3	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	163	4	argmin	argmin	NN
work_min2jdpukzaf5gkj3v2kj2he4q	163	5	S′⊆S	S′⊆S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	163	6	avg(S′,X	avg(s′,x	CD
work_min2jdpukzaf5gkj3v2kj2he4q	163	7	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	163	8	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	163	9	breaking	break	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	163	10	ties	tie	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	163	11	arbitrarily	arbitrarily	RB
work_min2jdpukzaf5gkj3v2kj2he4q	163	12	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	163	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	164	1	3	3	LS
work_min2jdpukzaf5gkj3v2kj2he4q	164	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	165	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	165	2	E1	e1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	165	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	165	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	166	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	167	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	168	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	168	2	En	En	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	168	3	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	168	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	168	5	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	168	6	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	168	7	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	168	8	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	168	9	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	168	10	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	168	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	168	12	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	168	13	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	168	14	breaking	break	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	168	15	ties	tie	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	168	16	arbitrarily	arbitrarily	RB
work_min2jdpukzaf5gkj3v2kj2he4q	168	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	168	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	169	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	169	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	169	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	169	4	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	169	5	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	169	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	169	7	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	169	8	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	169	9	=	=	FW
work_min2jdpukzaf5gkj3v2kj2he4q	169	10	Ei	Ei	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	169	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	170	1	4	4	LS
work_min2jdpukzaf5gkj3v2kj2he4q	170	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	171	1	SUBROUTINE(S	SUBROUTINE(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	171	2	\Smin	\Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	171	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	171	4	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	171	5	\D(Smin	\d(smin	NN
work_min2jdpukzaf5gkj3v2kj2he4q	171	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	171	7	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	171	8	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	171	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	171	10	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	171	11	V1	V1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	171	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	171	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	172	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	173	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	174	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	174	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	174	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	174	4	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	174	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	175	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	175	2	particular	particular	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	175	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	175	4	Steps	step	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	175	5	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	175	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	175	7	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	175	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	175	9	SUBROUTINE	SUBROUTINE	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	175	10	imply	imply	VB
work_min2jdpukzaf5gkj3v2kj2he4q	175	11	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	175	12	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	175	13	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	175	14	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	175	15	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	175	16	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	175	17	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	175	18	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	175	19	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	175	20	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	175	21	D(S	D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	175	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	175	23	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	175	24	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	175	25	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	176	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	176	2	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	176	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	4	sup-	sup-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	176	5	pose	pose	NN
work_min2jdpukzaf5gkj3v2kj2he4q	176	6	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	176	7	=	=	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	176	8	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	9	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	11	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	12	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	14	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	176	15	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	176	16	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	17	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	19	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	20	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	22	U2	U2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	176	23	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	176	24	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	25	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	27	0.39	0.39	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	28	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	30	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	176	31	U3	u3	NN
work_min2jdpukzaf5gkj3v2kj2he4q	176	32	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	176	33	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	34	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	35	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	176	36	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	176	37	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	176	38	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	177	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	177	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	177	3	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	177	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	177	6	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	177	7	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	177	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	177	9	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	177	10	aver-	aver-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	177	11	age	age	NN
work_min2jdpukzaf5gkj3v2kj2he4q	177	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	177	13	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	14	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	15	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	17	so	so	RB
work_min2jdpukzaf5gkj3v2kj2he4q	177	18	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	177	19	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	20	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	177	21	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	177	22	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	177	23	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	24	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	26	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	27	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	177	29	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	177	30	recurse	recurse	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	177	31	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	177	32	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	33	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	35	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	36	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	37	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	38	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	39	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	40	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	177	41	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	177	42	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	177	43	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	178	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	178	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	178	3	recursive	recursive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	178	4	call	call	NN
work_min2jdpukzaf5gkj3v2kj2he4q	178	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	178	6	set	set	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	178	7	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	8	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	9	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	10	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	178	11	average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	178	12	0.39	0.39	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	13	-	-	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	178	14	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	15	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	178	16	0.29	0.29	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	178	18	set	set	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	178	19	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	20	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	21	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	22	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	178	23	average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	178	24	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	25	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	178	26	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	27	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	178	28	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	178	30	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	178	31	set	set	VB
work_min2jdpukzaf5gkj3v2kj2he4q	178	32	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	33	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	178	35	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	36	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	37	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	178	38	average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	178	39	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	178	40	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	41	−	−	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	178	42	0.1)/2	0.1)/2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	178	43	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	178	44	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	178	45	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	179	1	As	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	179	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	179	3	result	result	NN
work_min2jdpukzaf5gkj3v2kj2he4q	179	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	179	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	179	6	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	179	7	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	179	8	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	179	9	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	179	11	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	12	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	179	13	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	179	14	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	179	15	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	179	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	179	17	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	179	18	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	179	19	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	179	20	aver-	aver-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	179	21	age	age	NN
work_min2jdpukzaf5gkj3v2kj2he4q	179	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	179	23	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	179	24	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	179	25	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	179	26	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	179	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	179	28	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	179	29	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	179	31	1.0	1.0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	32	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	179	33	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	179	34	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	179	35	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	179	36	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	179	37	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	38	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	179	39	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	179	40	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	180	1	One	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	2	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	180	3	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	180	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	180	5	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	180	6	give	give	VB
work_min2jdpukzaf5gkj3v2kj2he4q	180	7	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	180	8	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	9	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	180	10	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	180	12	0.35	0.35	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	13	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	180	14	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	180	15	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	180	16	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	17	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	180	18	0.35	0.35	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	180	20	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	180	21	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	180	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	181	1	Note	note	VB
work_min2jdpukzaf5gkj3v2kj2he4q	181	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	181	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	4	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	181	5	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	181	6	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	7	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	181	8	val-	val-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	181	9	ues	ues	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	181	10	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	11	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	13	0.2	0.2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	14	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	15	instead	instead	RB
work_min2jdpukzaf5gkj3v2kj2he4q	181	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	181	18	first	first	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	181	19	call	call	NN
work_min2jdpukzaf5gkj3v2kj2he4q	181	20	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	181	21	choose	choose	VB
work_min2jdpukzaf5gkj3v2kj2he4q	181	22	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	23	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	25	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	26	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	27	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	181	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	181	29	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	181	30	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	181	31	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	181	32	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	181	33	average	average	NN
work_min2jdpukzaf5gkj3v2kj2he4q	181	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	35	equally	equally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	181	36	allocating	allocate	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	181	37	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	38	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	40	0.39	0.39	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	41	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	42	between	between	IN
work_min2jdpukzaf5gkj3v2kj2he4q	181	43	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	181	44	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	45	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	181	46	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	47	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	181	48	giving	give	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	181	49	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	181	50	rest	rest	NN
work_min2jdpukzaf5gkj3v2kj2he4q	181	51	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	52	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	53	0.39	0.39	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	54	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	55	0.6	0.6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	56	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	181	57	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	181	58	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	181	59	agent	agent	VB
work_min2jdpukzaf5gkj3v2kj2he4q	181	60	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	181	61	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	182	1	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	182	2	analysis	analysis	NN
work_min2jdpukzaf5gkj3v2kj2he4q	182	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	182	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	182	5	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	182	6	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	182	7	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	182	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	183	1	To	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	183	2	gain	gain	VB
work_min2jdpukzaf5gkj3v2kj2he4q	183	3	intuition	intuition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	183	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	183	5	consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	183	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	183	7	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	183	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	183	9	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	183	10	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	183	11	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	183	12	designing	design	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	183	13	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	183	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	183	15	propor-	propor-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	183	16	tional	tional	NN
work_min2jdpukzaf5gkj3v2kj2he4q	183	17	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	183	18	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	183	19	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	183	20	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	183	21	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	183	22	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	183	23	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	183	24	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	183	25	nontrivial	nontrivial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	183	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	184	1	As-	as-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	184	2	sume	sume	NN
work_min2jdpukzaf5gkj3v2kj2he4q	184	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	184	4	len(U1	len(U1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	184	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	184	6	≤	≤	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	184	7	len(U2	len(U2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	184	8	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	184	9	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	184	10	ease	ease	NN
work_min2jdpukzaf5gkj3v2kj2he4q	184	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	184	12	presentation	presentation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	184	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	185	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	185	2	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	185	3	addition	addition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	185	5	len(U1	len(U1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	6	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	185	7	>	>	XX
work_min2jdpukzaf5gkj3v2kj2he4q	185	8	len(U1	len(U1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	9	∪	∪	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	10	U2)/2	u2)/2	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	11	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	185	12	set	set	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	185	13	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	185	14	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	185	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	185	16	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	185	17	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	185	18	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	185	19	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	185	20	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	185	21	average	average	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	185	23	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	185	24	divide	divide	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	185	25	U1	U1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	26	∪	∪	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	27	U2	U2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	28	exactly	exactly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	185	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	185	30	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	185	31	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	185	32	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	33	getting	get	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	185	34	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	185	35	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	185	36	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	37	\	\	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	38	U3−i	u3−i	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	39	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	185	40	sharing	share	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	185	41	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	42	∩	∩	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	43	U2	u2	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	44	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	185	45	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	185	46	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	185	47	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	185	48	len(A1	len(A1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	49	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	185	50	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	185	51	len(A2	len(A2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	185	52	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	185	53	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	186	1	Otherwise	otherwise	RB
work_min2jdpukzaf5gkj3v2kj2he4q	186	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	186	3	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	186	4	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	186	5	gets	get	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	186	6	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	186	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	186	8	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	186	9	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	186	10	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	186	11	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	186	12	gets	get	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	186	13	U2	U2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	186	14	\U1	\u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	186	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	187	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	187	2	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	3	tries	try	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	187	4	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	187	5	give	give	VB
work_min2jdpukzaf5gkj3v2kj2he4q	187	6	both	both	DT
work_min2jdpukzaf5gkj3v2kj2he4q	187	7	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	187	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	187	9	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	187	10	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	187	12	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	187	13	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	187	14	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	15	always	always	RB
work_min2jdpukzaf5gkj3v2kj2he4q	187	16	getting	get	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	187	17	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	187	18	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	187	19	half	half	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	187	21	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	187	22	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	187	23	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	187	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	187	25	leading	lead	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	187	26	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	187	27	proportion-	proportion-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	28	ality	ality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	29	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	187	30	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	187	31	because	because	IN
work_min2jdpukzaf5gkj3v2kj2he4q	187	32	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	187	33	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	187	34	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	187	35	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	187	36	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	188	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	188	2	sufficient	sufficient	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	188	3	overlap	overlap	NN
work_min2jdpukzaf5gkj3v2kj2he4q	188	4	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	188	5	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	188	6	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	188	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	188	8	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	188	9	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	188	10	exactly	exactly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	188	11	half	half	NN
work_min2jdpukzaf5gkj3v2kj2he4q	188	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	188	13	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	188	14	∪	∪	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	188	15	U2	U2	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	188	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	189	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	189	2	totally	totally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	189	3	disjoint	disjoint	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	189	4	reference	reference	NN
work_min2jdpukzaf5gkj3v2kj2he4q	189	5	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	189	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	189	7	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	189	8	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	189	9	just	just	RB
work_min2jdpukzaf5gkj3v2kj2he4q	189	10	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	189	11	reference	reference	NN
work_min2jdpukzaf5gkj3v2kj2he4q	189	12	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	189	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	190	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	190	2	defer	defer	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	190	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	4	discussion	discussion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	6	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	7	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	9	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	190	10	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	11	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	190	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	13	crux	crux	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	14	here	here	RB
work_min2jdpukzaf5gkj3v2kj2he4q	190	15	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	190	16	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	190	17	note	note	VB
work_min2jdpukzaf5gkj3v2kj2he4q	190	18	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	19	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	20	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	21	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	190	22	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	190	23	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	25	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	190	26	\U3−i	\u3−i	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	190	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	190	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	30	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	190	31	precludes	preclude	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	190	32	overclaims	overclaim	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	190	33	through	through	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	34	providing	provide	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	190	35	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	190	36	decreasing	decrease	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	190	37	share	share	NN
work_min2jdpukzaf5gkj3v2kj2he4q	190	38	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	39	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	190	40	∩U3−i	∩U3−i	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	190	41	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	190	42	len(Ui	len(Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	190	43	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	190	44	increases	increase	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	190	45	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	191	1	Exact	Exact	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	191	2	Allocations	Allocations	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	191	3	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	191	4	Maximum	Maximum	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	191	5	Flows	Flows	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	191	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	192	1	Before	before	IN
work_min2jdpukzaf5gkj3v2kj2he4q	192	2	turning	turn	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	192	3	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	192	4	properties	property	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	192	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	192	6	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	192	7	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	192	8	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	192	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	192	10	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	192	11	point	point	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	192	12	out	out	RP
work_min2jdpukzaf5gkj3v2kj2he4q	192	13	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	192	14	so	so	RB
work_min2jdpukzaf5gkj3v2kj2he4q	192	15	far	far	RB
work_min2jdpukzaf5gkj3v2kj2he4q	192	16	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	192	17	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	192	18	unclear	unclear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	192	19	whether	whether	IN
work_min2jdpukzaf5gkj3v2kj2he4q	192	20	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	192	21	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	192	22	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	192	23	well	well	RB
work_min2jdpukzaf5gkj3v2kj2he4q	192	24	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	192	25	defined	define	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	192	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	193	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	193	2	particular	particular	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	193	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	193	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	193	5	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	193	6	requires	require	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	193	7	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	193	8	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	193	9	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	193	10	E	e	NN
work_min2jdpukzaf5gkj3v2kj2he4q	193	11	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	193	12	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	193	13	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	193	14	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	193	15	subset	subset	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	193	16	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	193	17	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	193	18	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	193	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	193	20	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	193	21	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	193	22	remains	remain	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	193	23	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	193	24	show	show	VB
work_min2jdpukzaf5gkj3v2kj2he4q	193	25	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	193	26	such	such	PDT
work_min2jdpukzaf5gkj3v2kj2he4q	193	27	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	193	28	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	193	29	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	193	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	193	31	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	193	32	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	193	33	provide	provide	VB
work_min2jdpukzaf5gkj3v2kj2he4q	193	34	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	193	35	way	way	NN
work_min2jdpukzaf5gkj3v2kj2he4q	193	36	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	193	37	compute	compute	VB
work_min2jdpukzaf5gkj3v2kj2he4q	193	38	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	193	39	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	194	1	To	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	194	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	194	3	end	end	NN
work_min2jdpukzaf5gkj3v2kj2he4q	194	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	194	5	exploit	exploit	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	194	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	194	7	close	close	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	194	8	relationship	relationship	NN
work_min2jdpukzaf5gkj3v2kj2he4q	194	9	between	between	IN
work_min2jdpukzaf5gkj3v2kj2he4q	194	10	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	194	11	allocations	allocation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	194	12	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	194	13	maximum	maximum	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	194	14	flows	flow	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	194	15	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	194	16	networks	network	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	194	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	195	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	195	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	195	3	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	195	4	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	195	6	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	195	7	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	195	8	⊆	⊆	:
work_min2jdpukzaf5gkj3v2kj2he4q	195	9	N	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	195	11	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	195	12	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	13	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	195	14	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	15	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	195	16	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	195	17	allocated	allocate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	195	18	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	195	20	define	define	VB
work_min2jdpukzaf5gkj3v2kj2he4q	195	21	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	195	22	graph	graph	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	23	G(S	g(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	195	25	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	195	26	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	195	27	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	195	28	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	195	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	196	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	196	2	keep	keep	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	196	3	track	track	NN
work_min2jdpukzaf5gkj3v2kj2he4q	196	4	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	196	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	196	6	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	196	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	196	8	marks	mark	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	196	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	196	10	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	196	11	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	196	12	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	196	13	used	use	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	196	14	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	196	15	generate	generate	VB
work_min2jdpukzaf5gkj3v2kj2he4q	196	16	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	196	17	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	196	18	G(S	G(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	196	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	196	20	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	196	21	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	196	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	197	1	First	first	RB
work_min2jdpukzaf5gkj3v2kj2he4q	197	2	mark	mark	VB
work_min2jdpukzaf5gkj3v2kj2he4q	197	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	197	4	left	left	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	197	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	197	6	right	right	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	197	7	boundaries	boundary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	197	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	197	9	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	197	10	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	197	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	197	12	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	197	13	contained	contain	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	197	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	197	15	X.	X.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	198	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	198	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	198	3	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	198	4	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	198	5	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	198	6	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	198	7	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	198	8	subinterval	subinterval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	198	9	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	198	10	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	198	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	198	12	mark	mark	VB
work_min2jdpukzaf5gkj3v2kj2he4q	198	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	198	14	left	left	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	198	15	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	198	16	right	right	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	198	17	boundaries	boundary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	198	18	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	198	19	subintervals	subinterval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	198	20	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	198	21	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	198	22	contained	contain	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	198	23	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	198	24	Ui	Ui	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	198	25	∩	∩	NN
work_min2jdpukzaf5gkj3v2kj2he4q	198	26	X.	x.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	1	When	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	199	2	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	199	3	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	199	4	finished	finish	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	199	5	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	6	process	process	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	199	8	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	9	pair	pair	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	199	11	consecutive	consecutive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	199	12	markings	marking	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	199	13	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	199	14	form	form	VB
work_min2jdpukzaf5gkj3v2kj2he4q	199	15	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	16	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	17	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	199	18	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	199	19	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	20	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	21	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	199	22	either	either	CC
work_min2jdpukzaf5gkj3v2kj2he4q	199	23	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	199	24	value	value	VB
work_min2jdpukzaf5gkj3v2kj2he4q	199	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	26	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	199	27	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	28	or	or	CC
work_min2jdpukzaf5gkj3v2kj2he4q	199	29	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	30	none	none	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	31	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	199	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	199	33	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	199	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	200	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	2	G(S	g(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	4	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	5	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	200	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	7	create	create	VB
work_min2jdpukzaf5gkj3v2kj2he4q	200	8	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	9	node	node	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	10	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	11	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	12	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	13	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	200	14	formed	form	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	200	15	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	16	con-	con-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	200	17	secutive	secutive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	200	18	markings	marking	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	200	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	20	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	200	21	add	add	VB
work_min2jdpukzaf5gkj3v2kj2he4q	200	22	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	23	node	node	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	24	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	25	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	26	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	27	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	200	28	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	200	29	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	200	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	31	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	32	source	source	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	33	node	node	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	34	s	s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	200	35	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	36	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	200	37	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	38	sink	sink	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	39	node	node	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	40	t.	t.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	41	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	42	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	43	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	44	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	200	45	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	200	46	add	add	VB
work_min2jdpukzaf5gkj3v2kj2he4q	200	47	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	48	directed	direct	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	200	49	edge	edge	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	50	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	51	source	source	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	52	s	s	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	200	53	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	54	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	200	55	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	56	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	57	equal	equal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	200	58	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	59	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	60	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	61	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	200	62	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	200	63	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	200	64	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	201	1	Each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	201	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	201	3	node	node	RB
work_min2jdpukzaf5gkj3v2kj2he4q	201	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	201	5	connected	connect	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	201	6	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	201	7	t	t	NN
work_min2jdpukzaf5gkj3v2kj2he4q	201	8	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	201	9	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	201	10	edge	edge	NN
work_min2jdpukzaf5gkj3v2kj2he4q	201	11	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	201	12	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	201	13	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	201	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	201	15	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	201	16	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	201	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	202	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	202	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	202	3	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	4	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	202	5	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	6	pair	pair	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	7	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	202	8	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	202	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	202	10	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	202	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	202	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	202	13	add	add	VB
work_min2jdpukzaf5gkj3v2kj2he4q	202	14	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	202	15	directed	directed	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	202	16	edge	edge	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	17	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	202	18	infinite	infinite	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	202	19	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	20	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	202	21	node	node	RB
work_min2jdpukzaf5gkj3v2kj2he4q	202	22	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	202	23	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	202	24	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	202	25	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	26	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	202	27	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	202	28	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	202	29	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	202	30	desires	desire	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	202	31	interval	interval	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	202	32	I.	I.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	203	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	203	2	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	203	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	203	4	suppose	suppose	VB
work_min2jdpukzaf5gkj3v2kj2he4q	203	5	U1	u1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	203	6	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	203	7	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	8	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	203	10	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	11	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	12	∪	∪	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	203	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	14	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	203	16	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	203	19	U2	u2	NN
work_min2jdpukzaf5gkj3v2kj2he4q	203	20	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	203	21	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	22	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	203	24	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	203	25	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	203	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	204	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	204	2	X	X	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	204	3	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	204	4	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	204	5	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	7	1	1	LS
work_min2jdpukzaf5gkj3v2kj2he4q	204	8	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	204	9	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	204	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	204	11	interval	interval	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	204	12	markings	marking	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	204	13	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	204	14	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	204	15	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	204	16	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	18	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	20	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	22	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	24	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	204	26	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	204	27	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	204	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	205	1	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	205	2	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	3	values	value	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	205	4	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	5	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	7	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	8	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	10	both	both	DT
work_min2jdpukzaf5gkj3v2kj2he4q	205	11	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	205	12	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	205	13	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	14	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	16	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	17	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	19	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	205	20	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	21	values	value	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	205	22	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	23	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	25	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	26	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	28	neither	neither	CC
work_min2jdpukzaf5gkj3v2kj2he4q	205	29	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	205	30	values	value	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	205	31	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	32	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	33	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	34	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	35	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	36	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	205	37	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	205	38	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	39	values	value	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	205	40	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	41	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	42	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	205	43	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	205	44	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	205	45	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	206	1	It	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	206	2	holds	hold	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	206	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	206	4	len(D({1	len(d({1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	206	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	206	6	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	206	7	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	206	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	206	9	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	206	10	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	206	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	206	12	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	206	13	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	206	14	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	206	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	206	16	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	206	17	0.9	0.9	CD
work_min2jdpukzaf5gkj3v2kj2he4q	206	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	207	1	Average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	207	2	values	value	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	207	3	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	207	4	0.75	0.75	CD
work_min2jdpukzaf5gkj3v2kj2he4q	207	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	207	6	0.3	0.3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	207	7	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	207	8	0.45	0.45	CD
work_min2jdpukzaf5gkj3v2kj2he4q	207	9	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	207	10	sets	set	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	207	11	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	207	12	1},{2	1},{2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	207	13	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	207	14	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	207	15	{	{	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	207	16	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	207	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	207	18	2	2	LS
work_min2jdpukzaf5gkj3v2kj2he4q	207	19	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	207	20	respectively	respectively	RB
work_min2jdpukzaf5gkj3v2kj2he4q	207	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	208	1	See	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	208	2	Figure	figure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	208	3	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	208	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	208	5	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	208	6	illustration	illustration	NN
work_min2jdpukzaf5gkj3v2kj2he4q	208	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	208	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	208	9	induced	induce	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	208	10	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	208	11	network	network	NN
work_min2jdpukzaf5gkj3v2kj2he4q	208	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	209	1	s	s	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	209	2	t	t	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	209	3	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	209	5	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	6	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	209	8	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	9	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	209	11	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	12	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	209	14	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	15	0.25	0.25	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	209	17	0.4	0.4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	18	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	19	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	20	0.5	0.5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	21	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	22	0.15	0.15	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	23	0.1	0.1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	24	0.15	0.15	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	25	∞	∞	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	209	26	∞	∞	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	27	∞	∞	XX
work_min2jdpukzaf5gkj3v2kj2he4q	209	28	∞	∞	XX
work_min2jdpukzaf5gkj3v2kj2he4q	209	29	∞	∞	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	30	0.45	0.45	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	31	0.45	0.45	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	32	Figure	figure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	33	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	209	34	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	209	35	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	209	36	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	37	network	network	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	38	induced	induce	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	209	39	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	209	40	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	209	41	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	209	42	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	210	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	210	2	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	210	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	211	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	211	2	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	211	3	⊆	⊆	.
work_min2jdpukzaf5gkj3v2kj2he4q	211	4	N	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	211	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	211	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	211	7	let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	211	8	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	211	9	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	211	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	211	11	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	211	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	211	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	211	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	212	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	212	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	212	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	212	4	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	212	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	212	6	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	212	7	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	212	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	212	9	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	212	10	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	212	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	212	12	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	212	13	G(S	g(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	212	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	212	15	X	x	LS
work_min2jdpukzaf5gkj3v2kj2he4q	212	16	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	212	17	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	212	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	212	19	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	212	20	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	212	21	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	212	22	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	212	23	S′	s′	NN
work_min2jdpukzaf5gkj3v2kj2he4q	212	24	⊆	⊆	''
work_min2jdpukzaf5gkj3v2kj2he4q	212	25	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	212	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	212	27	avg(S′,X	avg(s′,x	XX
work_min2jdpukzaf5gkj3v2kj2he4q	212	28	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	212	29	≥	≥	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	212	30	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	212	31	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	212	32	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	212	33	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	212	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	213	1	Below	below	IN
work_min2jdpukzaf5gkj3v2kj2he4q	213	2	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	213	3	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	213	4	prove	prove	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	213	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	213	6	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	213	7	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	213	8	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	213	9	direction	direction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	213	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	213	11	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	213	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	213	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	213	14	one	one	NN
work_min2jdpukzaf5gkj3v2kj2he4q	213	15	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	213	16	need	need	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	213	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	213	18	using	use	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	213	19	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	213	20	application	application	NN
work_min2jdpukzaf5gkj3v2kj2he4q	213	21	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	213	22	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	213	23	classic	classic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	213	24	Max	Max	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	25	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	213	26	Flow	Flow	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	27	Min-	Min-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	28	Cut	Cut	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	29	Theorem	Theorem	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	30	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	213	31	see	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	213	32	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	213	33	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	213	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	213	35	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	213	36	Cormen	Cormen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	37	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	38	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	213	39	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	214	1	2001	2001	CD
work_min2jdpukzaf5gkj3v2kj2he4q	214	2	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	214	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	214	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	215	1	Proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	215	2	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	215	3	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	215	4	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	215	5	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	215	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	216	1	Assume	assume	VB
work_min2jdpukzaf5gkj3v2kj2he4q	216	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	216	3	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	216	4	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	216	5	S′	s′	NN
work_min2jdpukzaf5gkj3v2kj2he4q	216	6	⊆	⊆	''
work_min2jdpukzaf5gkj3v2kj2he4q	216	7	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	216	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	216	9	avg(S′,X	avg(s′,x	XX
work_min2jdpukzaf5gkj3v2kj2he4q	216	10	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	216	11	≥	≥	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	216	12	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	216	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	216	14	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	216	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	216	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	217	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	217	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	3	Max	Max	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	4	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	217	5	Flow	Flow	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	6	Min	Min	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	7	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	217	8	Cut	Cut	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	9	Theorem	Theorem	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	217	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	12	mini-	mini-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	13	mum	mum	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	217	14	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	15	removed	remove	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	217	16	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	217	17	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	18	graph	graph	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	19	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	217	20	order	order	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	21	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	217	22	disconnect	disconnect	VB
work_min2jdpukzaf5gkj3v2kj2he4q	217	23	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	24	source	source	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	25	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	217	26	sink	sink	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	27	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	217	28	equal	equal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	217	29	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	217	30	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	31	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	32	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	217	33	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	217	34	maximum	maximum	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	217	35	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	217	36	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	218	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	2	only	only	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	218	3	edges	edge	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	218	4	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	218	5	finite	finite	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	218	6	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	218	7	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	218	8	G(S	G(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	218	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	218	10	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	218	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	218	12	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	218	13	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	14	ones	one	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	218	15	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	218	16	connect	connect	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	218	17	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	218	18	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	218	19	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	218	20	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	21	sink	sink	NN
work_min2jdpukzaf5gkj3v2kj2he4q	218	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	218	23	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	218	24	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	25	ones	one	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	218	26	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	218	27	con-	con-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	218	28	nect	nect	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	218	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	30	source	source	NN
work_min2jdpukzaf5gkj3v2kj2he4q	218	31	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	218	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	218	33	interval	interval	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	218	34	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	218	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	219	1	Construct	construct	VB
work_min2jdpukzaf5gkj3v2kj2he4q	219	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	219	3	candidate	candidate	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	4	minimum	minimum	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	5	cut	cut	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	6	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	7	disconnecting	disconnect	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	219	8	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	219	9	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	11	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	12	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	219	13	T	T	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	219	14	⊆	⊆	.
work_min2jdpukzaf5gkj3v2kj2he4q	219	15	S	s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	16	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	219	18	sink	sink	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	19	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	20	cost	cost	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	21	|T	|t	CD
work_min2jdpukzaf5gkj3v2kj2he4q	219	22	|	|	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	219	23	·	·	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	219	24	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	219	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	219	26	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	219	27	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	219	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	219	29	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	219	30	disconnecting	disconnect	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	219	31	all	all	PDT
work_min2jdpukzaf5gkj3v2kj2he4q	219	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	219	33	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	219	34	s	s	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	219	35	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	219	36	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	219	37	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	219	38	connec-	connec-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	39	tions	tion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	219	40	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	41	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	42	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	219	43	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	219	44	desired	desire	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	219	45	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	219	46	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	219	47	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	48	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	219	49	∈	∈	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	219	50	S\T	s\t	NN
work_min2jdpukzaf5gkj3v2kj2he4q	219	51	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	220	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	220	2	means	mean	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	220	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	220	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	220	5	total	total	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	220	6	additional	additional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	220	7	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	8	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	220	9	need	need	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	220	10	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	220	11	remove	remove	VB
work_min2jdpukzaf5gkj3v2kj2he4q	220	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	220	13	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	220	14	\T	\t	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	220	16	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	220	18	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	220	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	220	20	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	220	21	total	total	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	220	22	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	23	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	220	24	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	220	25	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	220	26	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	220	27	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	220	28	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	220	29	one	one	CD
work_min2jdpukzaf5gkj3v2kj2he4q	220	30	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	31	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	220	32	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	220	33	\	\	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	220	34	T	t	NN
work_min2jdpukzaf5gkj3v2kj2he4q	220	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	221	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	221	2	assumption	assumption	NN
work_min2jdpukzaf5gkj3v2kj2he4q	221	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	221	4	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	221	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	221	6	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	221	7	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	221	8	|S	|s	CD
work_min2jdpukzaf5gkj3v2kj2he4q	221	9	\	\	NN
work_min2jdpukzaf5gkj3v2kj2he4q	221	10	T|	t|	CD
work_min2jdpukzaf5gkj3v2kj2he4q	221	11	·	·	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	221	12	avg(S	avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	221	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	221	14	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	221	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	221	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	222	1	As	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	222	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	222	3	result	result	NN
work_min2jdpukzaf5gkj3v2kj2he4q	222	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	222	5	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	222	6	cut	cut	NN
work_min2jdpukzaf5gkj3v2kj2he4q	222	7	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	222	8	capacity	capacity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	222	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	222	10	at	at	RB
work_min2jdpukzaf5gkj3v2kj2he4q	222	11	least	least	RBS
work_min2jdpukzaf5gkj3v2kj2he4q	222	12	|T	|t	CD
work_min2jdpukzaf5gkj3v2kj2he4q	222	13	|·avg(S	|·avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	222	15	X)+|S\T|·avg(S	X)+|S\T|·avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	222	17	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	18	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	222	19	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	222	20	|S|·avg(S	|S|·avg(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	222	22	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	23	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	222	24	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	222	25	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	222	27	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	222	28	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	222	29	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	222	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	223	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	223	2	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	223	3	lemma	lemma	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	4	establishes	establish	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	223	5	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	223	6	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	223	7	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	223	9	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	10	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	223	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	223	12	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	223	13	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	223	14	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	223	15	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	223	16	G(S	g(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	223	18	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	19	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	223	20	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	223	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	223	22	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	223	23	particular	particular	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	223	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	223	25	characterizing	characterize	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	223	26	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	223	27	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	223	28	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	223	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	224	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	224	2	omit	omit	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	224	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	224	4	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	224	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	224	6	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	224	7	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	224	8	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	224	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	224	10	construction	construction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	224	11	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	224	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	224	13	network	network	NN
work_min2jdpukzaf5gkj3v2kj2he4q	224	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	225	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	225	2	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	225	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	226	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	226	2	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	226	3	⊆	⊆	.
work_min2jdpukzaf5gkj3v2kj2he4q	226	4	N	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	226	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	226	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	226	7	let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	226	8	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	226	9	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	226	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	226	11	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	226	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	226	13	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	226	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	227	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	227	2	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	227	3	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	227	4	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	227	5	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	6	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	7	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	8	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	9	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	227	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	227	11	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	12	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	227	14	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	227	15	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	16	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	227	17	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	227	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	227	19	maximum	maximum	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	227	20	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	21	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	22	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	23	len(D(S	len(D(S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	227	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	227	25	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	227	26	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	227	27	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	227	28	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	227	29	G(S	g(s	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	227	31	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	227	32	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	227	33	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	228	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	2	combining	combine	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	228	3	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	4	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	228	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	228	6	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	7	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	228	8	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	228	9	see	see	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	228	10	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	12	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	13	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	228	14	indeed	indeed	RB
work_min2jdpukzaf5gkj3v2kj2he4q	228	15	well	well	RB
work_min2jdpukzaf5gkj3v2kj2he4q	228	16	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	228	17	defined	define	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	228	18	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	228	19	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	20	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	21	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	228	22	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	23	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	228	24	av-	av-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	25	erage	erage	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	26	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	228	27	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	228	28	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	228	29	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	30	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	31	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	32	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	33	respect	respect	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	34	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	35	S	S	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	36	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	228	37	X.6	X.6	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	228	38	Moreover	moreover	RB
work_min2jdpukzaf5gkj3v2kj2he4q	228	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	228	40	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	228	41	obtain	obtain	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	228	42	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	43	tractable	tractable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	44	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	45	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	46	com-	com-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	47	puting	put	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	228	48	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	49	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	50	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	51	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	228	52	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	228	53	computing	compute	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	228	54	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	55	maximum	maximum	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	56	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	57	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	228	58	deriving	derive	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	228	59	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	228	60	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	228	61	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	228	62	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	229	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	229	2	maximum	maximum	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	229	3	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	229	4	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	229	5	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	229	6	6Note	6note	CD
work_min2jdpukzaf5gkj3v2kj2he4q	229	7	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	229	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	229	9	network	network	NN
work_min2jdpukzaf5gkj3v2kj2he4q	229	10	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	229	11	Figure	Figure	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	229	12	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	229	13	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	229	14	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	229	15	satisfy	satisfy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	229	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	229	17	average	average	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	229	18	minimality	minimality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	229	19	requirement	requirement	NN
work_min2jdpukzaf5gkj3v2kj2he4q	229	20	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	229	21	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	229	22	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	229	23	provide	provide	VB
work_min2jdpukzaf5gkj3v2kj2he4q	229	24	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	229	25	corresponding	corresponding	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	229	26	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	229	27	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	229	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	230	1	computed	compute	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	230	2	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	230	3	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	230	4	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	230	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	230	6	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	230	7	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	230	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	230	9	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	230	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	230	11	nodes	node	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	230	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	230	13	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	230	14	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	230	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	230	16	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	230	17	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	230	18	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	230	19	input	input	NN
work_min2jdpukzaf5gkj3v2kj2he4q	230	20	size	size	NN
work_min2jdpukzaf5gkj3v2kj2he4q	230	21	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	230	22	see	see	VB
work_min2jdpukzaf5gkj3v2kj2he4q	230	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	230	24	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	230	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	230	26	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	230	27	Cormen	Cormen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	230	28	et	et	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	230	29	al	al	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	230	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	231	1	2001	2001	CD
work_min2jdpukzaf5gkj3v2kj2he4q	231	2	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	231	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	231	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	232	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	232	2	remark	remark	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	232	3	without	without	IN
work_min2jdpukzaf5gkj3v2kj2he4q	232	4	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	5	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	232	6	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	232	7	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	232	8	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	232	9	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	232	10	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	232	11	implement	implement	VB
work_min2jdpukzaf5gkj3v2kj2he4q	232	12	Step	step	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	13	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	232	14	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	232	15	SUBROUTINE	SUBROUTINE	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	232	16	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	232	17	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	232	18	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	232	20	using	use	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	232	21	similar	similar	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	232	22	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	232	23	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	232	24	slightly	slightly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	232	25	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	232	26	involved	involved	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	232	27	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	232	28	network	network	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	29	flow	flow	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	30	ar-	ar-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	232	31	guments	gument	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	232	32	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	233	1	Therefore	therefore	RB
work_min2jdpukzaf5gkj3v2kj2he4q	233	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	233	3	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	233	4	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	233	5	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	233	6	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	233	7	implemented	implement	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	233	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	233	9	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	233	10	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	233	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	234	1	Truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	234	2	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	234	3	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	234	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	235	1	Our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	235	2	main	main	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	235	3	tool	tool	NN
work_min2jdpukzaf5gkj3v2kj2he4q	235	4	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	235	5	proving	prove	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	235	6	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	235	7	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	235	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	235	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	235	10	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	235	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	235	12	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	235	13	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	235	14	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	235	15	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	235	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	235	17	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	235	18	lemma	lemma	NN
work_min2jdpukzaf5gkj3v2kj2he4q	235	19	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	235	20	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	235	21	omit	omit	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	235	22	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	235	23	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	235	24	due	due	IN
work_min2jdpukzaf5gkj3v2kj2he4q	235	25	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	235	26	space	space	NN
work_min2jdpukzaf5gkj3v2kj2he4q	235	27	constraints	constraint	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	235	28	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	235	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	236	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	236	2	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	236	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	237	1	Let	let	VB
work_min2jdpukzaf5gkj3v2kj2he4q	237	2	S1	S1	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	237	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	237	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	238	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	239	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	240	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	240	2	Sm	Sm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	240	3	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	240	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	240	5	ordered	order	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	240	6	sequence	sequence	NN
work_min2jdpukzaf5gkj3v2kj2he4q	240	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	240	8	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	240	9	sets	set	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	240	10	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	240	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	240	12	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	240	13	average	average	NN
work_min2jdpukzaf5gkj3v2kj2he4q	240	14	as	as	IN
work_min2jdpukzaf5gkj3v2kj2he4q	240	15	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	240	16	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	240	17	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	240	18	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	240	19	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	240	20	X1	X1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	240	21	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	240	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	241	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	242	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	243	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	243	2	Xm	Xm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	243	3	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	243	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	243	5	ordered	order	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	243	6	sequence	sequence	NN
work_min2jdpukzaf5gkj3v2kj2he4q	243	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	243	8	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	243	9	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	243	10	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	243	11	allo-	allo-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	243	12	cated	cat	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	243	13	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	243	14	calls	call	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	243	15	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	243	16	SUBROUTINE	SUBROUTINE	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	243	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	244	1	That	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	244	2	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	244	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	244	4	X1	X1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	244	5	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	244	6	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	244	7	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	244	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	244	9	1],X2	1],x2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	244	10	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	244	11	X1	X1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	244	12	\	\	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	244	13	D(S1,X1	D(S1,X1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	244	14	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	244	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	244	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	245	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	246	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	247	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	247	2	Xm	Xm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	247	3	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	247	4	Xm−1	Xm−1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	247	5	\	\	NN
work_min2jdpukzaf5gkj3v2kj2he4q	247	6	D(Sm−1,Xm−1	d(sm−1,xm−1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	247	7	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	247	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	248	1	Then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	248	2	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	248	3	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	248	4	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	248	5	>	>	XX
work_min2jdpukzaf5gkj3v2kj2he4q	248	6	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	248	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	248	8	avg(Si	avg(Si	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	248	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	248	10	Xi	Xi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	248	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	248	12	≥	≥	UH
work_min2jdpukzaf5gkj3v2kj2he4q	248	13	avg(Sj	avg(Sj	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	248	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	248	15	Xj	Xj	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	248	16	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	248	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	248	18	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	248	19	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	248	20	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	248	21	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	248	22	members	member	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	248	23	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	248	24	later	later	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	248	25	sets	set	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	248	26	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	248	27	weakly	weakly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	248	28	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	248	29	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	248	30	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	248	31	lengths	length	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	248	32	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	249	1	Envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	249	2	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	249	3	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	249	4	now	now	RB
work_min2jdpukzaf5gkj3v2kj2he4q	249	5	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	249	6	immediately	immediately	RB
work_min2jdpukzaf5gkj3v2kj2he4q	249	7	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	249	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	249	9	lemma	lemma	NN
work_min2jdpukzaf5gkj3v2kj2he4q	249	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	250	1	Indeed	indeed	RB
work_min2jdpukzaf5gkj3v2kj2he4q	250	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	250	3	consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	250	4	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	250	5	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	250	6	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	250	7	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	250	8	N.	N.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	250	9	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	250	10	“	"	``
work_min2jdpukzaf5gkj3v2kj2he4q	250	11	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	250	12	”	"	''
work_min2jdpukzaf5gkj3v2kj2he4q	250	13	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	250	14	mean	mean	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	250	15	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	250	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	250	17	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	250	18	was	be	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	250	19	part	part	NN
work_min2jdpukzaf5gkj3v2kj2he4q	250	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	250	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	250	22	subset	subset	NN
work_min2jdpukzaf5gkj3v2kj2he4q	250	23	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	250	24	smallest	small	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	250	25	aver-	aver-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	250	26	age	age	NN
work_min2jdpukzaf5gkj3v2kj2he4q	250	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	251	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	251	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	251	3	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	251	4	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	251	5	envy	envy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	251	6	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	251	7	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	251	8	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	251	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	251	10	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	251	11	call	call	NN
work_min2jdpukzaf5gkj3v2kj2he4q	251	12	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	251	13	SUBROUTINE	SUBROUTINE	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	251	14	since	since	IN
work_min2jdpukzaf5gkj3v2kj2he4q	251	15	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	251	16	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	251	17	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	251	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	251	19	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	251	20	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	251	21	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	251	22	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	251	23	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	251	24	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	251	25	their	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	251	26	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	251	27	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	251	28	piecewise	piecewise	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	251	29	uni-	uni-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	251	30	form	form	NN
work_min2jdpukzaf5gkj3v2kj2he4q	251	31	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	252	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	252	2	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	252	3	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	252	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	252	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	252	6	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	252	7	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	252	8	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	252	9	envy	envy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	252	10	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	252	11	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	252	12	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	252	13	earlier	early	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	252	14	calls	call	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	252	15	because	because	IN
work_min2jdpukzaf5gkj3v2kj2he4q	252	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	252	17	amount	amount	NN
work_min2jdpukzaf5gkj3v2kj2he4q	252	18	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	252	19	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	252	20	weakly	weakly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	252	21	in-	in-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	252	22	creases	crease	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	252	23	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	252	24	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	252	25	call	call	NN
work_min2jdpukzaf5gkj3v2kj2he4q	252	26	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	253	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	253	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	253	3	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	253	4	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	253	5	envy	envy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	253	6	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	253	7	cho-	cho-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	253	8	sen	sen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	253	9	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	253	10	later	late	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	253	11	calls	call	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	253	12	because	because	IN
work_min2jdpukzaf5gkj3v2kj2he4q	253	13	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	253	14	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	253	15	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	253	16	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	253	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	253	18	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	253	19	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	253	20	removed	remove	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	253	21	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	253	22	consideration	consideration	NN
work_min2jdpukzaf5gkj3v2kj2he4q	253	23	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	253	24	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	253	25	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	253	26	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	253	27	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	253	28	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	253	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	254	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	254	2	provide	provide	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	254	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	4	sketch	sketch	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	254	6	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	254	8	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	254	9	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	254	10	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	254	11	showing	show	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	254	12	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	254	13	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	14	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	15	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	254	16	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	254	17	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	254	18	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	254	19	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	20	incentive	incentive	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	21	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	254	22	change	change	VB
work_min2jdpukzaf5gkj3v2kj2he4q	254	23	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	24	choice	choice	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	25	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	254	26	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	254	27	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	254	28	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	254	29	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	254	30	profitably	profitably	RB
work_min2jdpukzaf5gkj3v2kj2he4q	254	31	manipulate	manipulate	VB
work_min2jdpukzaf5gkj3v2kj2he4q	254	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	33	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	254	34	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	254	35	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	254	36	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	254	37	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	254	38	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	254	39	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	255	1	1	1	LS
work_min2jdpukzaf5gkj3v2kj2he4q	255	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	256	1	Manipulations	manipulation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	256	2	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	256	3	change	change	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	256	4	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	256	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	257	1	Consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	257	2	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	257	3	subcases	subcase	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	257	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	258	1	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	258	2	a	a	LS
work_min2jdpukzaf5gkj3v2kj2he4q	258	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	258	4	When	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	258	5	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	258	6	reports	report	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	258	7	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	258	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	258	9	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	258	10	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	258	11	S′	s′	UH
work_min2jdpukzaf5gkj3v2kj2he4q	258	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	258	13	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	258	14	/∈	/∈	.
work_min2jdpukzaf5gkj3v2kj2he4q	258	15	S′.	s′.	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	259	1	An	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	259	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	259	3	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	259	4	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	259	5	affect	affect	VB
work_min2jdpukzaf5gkj3v2kj2he4q	259	6	avg(T	avg(T	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	259	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	259	8	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	259	9	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	259	10	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	259	11	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	259	12	/∈	/∈	.
work_min2jdpukzaf5gkj3v2kj2he4q	259	13	T	T	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	259	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	259	15	so	so	RB
work_min2jdpukzaf5gkj3v2kj2he4q	259	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	259	17	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	259	18	can-	can-	MD
work_min2jdpukzaf5gkj3v2kj2he4q	259	19	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	259	20	cause	cause	VB
work_min2jdpukzaf5gkj3v2kj2he4q	259	21	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	259	22	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	259	23	S′′	S′′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	259	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	259	25	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	259	26	/∈	/∈	.
work_min2jdpukzaf5gkj3v2kj2he4q	259	27	S′′	s′′	RB
work_min2jdpukzaf5gkj3v2kj2he4q	259	28	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	259	29	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	259	30	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	259	31	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	260	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	260	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	260	3	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	260	4	cause	cause	VB
work_min2jdpukzaf5gkj3v2kj2he4q	260	5	S′′	S′′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	260	7	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	260	8	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	9	S′′	S′′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	260	11	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	260	12	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	260	13	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	260	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	260	15	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	260	16	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	260	17	avg(S′′,X	avg(S′′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	18	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	260	19	≤	≤	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	20	avg(S′,X	avg(s′,x	XX
work_min2jdpukzaf5gkj3v2kj2he4q	260	21	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	260	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	260	23	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	260	24	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	260	25	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	260	26	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	260	27	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	260	28	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	260	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	260	30	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	260	31	does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	260	32	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	260	33	gain	gain	VB
work_min2jdpukzaf5gkj3v2kj2he4q	260	34	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	261	1	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	261	2	b	b	LS
work_min2jdpukzaf5gkj3v2kj2he4q	261	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	261	4	When	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	261	5	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	261	6	reports	report	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	261	7	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	261	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	261	9	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	261	10	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	261	11	S′	s′	NN
work_min2jdpukzaf5gkj3v2kj2he4q	261	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	261	13	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	261	14	∈	∈	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	261	15	S′.	s′.	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	262	1	As-	as-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	262	2	sume	sume	NN
work_min2jdpukzaf5gkj3v2kj2he4q	262	3	without	without	IN
work_min2jdpukzaf5gkj3v2kj2he4q	262	4	loss	loss	NN
work_min2jdpukzaf5gkj3v2kj2he4q	262	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	262	6	generality	generality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	262	7	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	262	8	|S|	|s|	XX
work_min2jdpukzaf5gkj3v2kj2he4q	262	9	≥	≥	UH
work_min2jdpukzaf5gkj3v2kj2he4q	262	10	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	262	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	263	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	263	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	263	3	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	263	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	263	5	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	263	6	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	263	7	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	263	8	S′	S′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	263	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	263	10	including	include	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	263	11	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	263	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	263	13	receive	receive	VB
work_min2jdpukzaf5gkj3v2kj2he4q	263	14	ex-	ex-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	263	15	actly	actly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	263	16	avg(S′,X	avg(s′,x	XX
work_min2jdpukzaf5gkj3v2kj2he4q	263	17	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	263	18	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	263	19	k	k	XX
work_min2jdpukzaf5gkj3v2kj2he4q	263	20	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	263	21	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	263	22	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	264	1	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	264	2	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	264	3	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	264	4	cause	cause	VB
work_min2jdpukzaf5gkj3v2kj2he4q	264	5	selection	selection	NN
work_min2jdpukzaf5gkj3v2kj2he4q	264	6	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	264	7	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	264	8	S′′	s′′	NN
work_min2jdpukzaf5gkj3v2kj2he4q	264	9	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	264	10	misstating	misstate	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	264	11	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	264	12	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	264	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	265	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	265	2	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	265	3	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	265	4	S′′	S′′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	265	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	265	6	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	265	7	avg(S′′,X	avg(S′′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	265	8	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	265	9	≥	≥	NN
work_min2jdpukzaf5gkj3v2kj2he4q	265	10	k	k	XX
work_min2jdpukzaf5gkj3v2kj2he4q	265	11	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	265	12	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	265	13	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	265	14	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	265	15	profitable	profitable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	265	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	266	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	266	2	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	266	3	/∈	/∈	.
work_min2jdpukzaf5gkj3v2kj2he4q	266	4	S′′	s′′	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	266	6	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	7	S′′	S′′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	8	was	be	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	266	9	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	10	chosen	choose	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	266	11	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	266	12	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	266	13	reports	report	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	266	14	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	266	16	so	so	CC
work_min2jdpukzaf5gkj3v2kj2he4q	266	17	avg(S′′,X	avg(S′′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	18	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	266	19	≥	≥	UH
work_min2jdpukzaf5gkj3v2kj2he4q	266	20	k.	k.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	21	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	266	22	either	either	DT
work_min2jdpukzaf5gkj3v2kj2he4q	266	23	case	case	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	266	25	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	266	26	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	27	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	28	S′	S′	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	29	\{i	\{i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	30	}	}	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	266	31	previously	previously	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	32	received	receive	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	266	33	k	k	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	34	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	266	35	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	266	36	now	now	RB
work_min2jdpukzaf5gkj3v2kj2he4q	266	37	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	266	38	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	266	39	least	least	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	266	40	k	k	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	41	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	266	42	observing	observe	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	266	43	that	that	DT
work_min2jdpukzaf5gkj3v2kj2he4q	266	44	avg(S′′,X	avg(S′′,X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	45	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	266	46	≥	≥	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	47	k	k	NN
work_min2jdpukzaf5gkj3v2kj2he4q	266	48	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	266	49	applying	apply	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	266	50	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	266	51	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	266	52	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	267	1	Agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	267	2	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	267	3	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	267	4	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	267	5	most	most	JJS
work_min2jdpukzaf5gkj3v2kj2he4q	267	6	len(D(S′,X	len(d(s′,x	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	267	7	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	267	8	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	267	9	mi-	mi-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	267	10	nus	nus	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	267	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	267	12	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	267	13	received	receive	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	267	14	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	267	15	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	267	16	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	267	17	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	267	18	S′\{i}.7	s′\{i}.7	VB
work_min2jdpukzaf5gkj3v2kj2he4q	267	19	These	these	DT
work_min2jdpukzaf5gkj3v2kj2he4q	267	20	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	267	21	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	267	22	weakly	weakly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	267	23	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	267	24	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	267	25	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	267	26	manipulates	manipulate	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	267	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	267	28	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	267	29	thus	thus	RB
work_min2jdpukzaf5gkj3v2kj2he4q	267	30	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	267	31	manipulations	manipulation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	267	32	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	267	33	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	267	34	profitable	profitable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	267	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	268	1	7Lemma	7Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	268	2	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	268	3	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	268	4	applies	apply	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	268	5	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	268	6	agent	agent	VB
work_min2jdpukzaf5gkj3v2kj2he4q	268	7	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	268	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	268	9	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	268	10	since	since	IN
work_min2jdpukzaf5gkj3v2kj2he4q	268	11	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	268	12	lies	lie	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	268	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	268	14	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	268	15	may	may	MD
work_min2jdpukzaf5gkj3v2kj2he4q	268	16	receive	receive	VB
work_min2jdpukzaf5gkj3v2kj2he4q	268	17	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	268	18	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	268	19	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	268	20	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	268	21	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	268	22	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	268	23	outside	outside	RB
work_min2jdpukzaf5gkj3v2kj2he4q	268	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	268	25	D(S′,X	d(s′,x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	268	26	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	268	27	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	269	1	2	2	LS
work_min2jdpukzaf5gkj3v2kj2he4q	269	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	270	1	Manipulations	manipulation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	270	2	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	270	3	change	change	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	270	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	270	5	exact	exact	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	270	6	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	270	7	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	270	8	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	270	9	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	270	10	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	270	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	270	12	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	270	13	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	270	14	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	270	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	271	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	271	2	definition	definition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	271	3	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	271	4	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	271	5	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	271	6	Smin	Smin	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	271	7	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	271	8	exactly	exactly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	271	9	avg(Smin	avg(smin	CD
work_min2jdpukzaf5gkj3v2kj2he4q	271	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	271	11	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	271	12	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	271	13	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	271	14	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	271	15	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	271	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	272	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	272	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	272	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	272	4	de-	de-	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	272	5	creases	crease	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	272	6	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	272	7	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	272	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	272	9	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	272	10	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	272	11	strictly	strictly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	272	12	less	less	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	272	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	273	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	273	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	273	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	273	4	in-	in-	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	273	5	creases	crease	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	273	6	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	273	7	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	273	8	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	273	9	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	273	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	273	11	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	273	12	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	273	13	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	273	14	receive	receive	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	273	15	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	273	16	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	273	17	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	273	18	actual	actual	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	273	19	D(Smin	d(smin	NN
work_min2jdpukzaf5gkj3v2kj2he4q	273	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	273	21	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	273	22	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	273	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	273	24	leaving	leave	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	273	25	less	less	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	273	26	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	273	27	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	273	28	i.	i.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	274	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	274	2	omit	omit	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	274	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	274	4	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	274	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	6	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	274	7	due	due	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	8	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	9	lack	lack	NN
work_min2jdpukzaf5gkj3v2kj2he4q	274	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	11	space	space	NN
work_min2jdpukzaf5gkj3v2kj2he4q	274	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	274	13	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	274	14	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	274	15	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	274	16	after	after	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	17	establishing	establish	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	274	18	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	274	19	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	274	20	desired	desire	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	274	21	pieces	piece	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	274	22	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	274	23	thrown	throw	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	274	24	away	away	RB
work_min2jdpukzaf5gkj3v2kj2he4q	274	25	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	275	1	Overall	overall	RB
work_min2jdpukzaf5gkj3v2kj2he4q	275	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	275	3	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	275	4	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	275	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	275	6	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	275	7	theorem	theorem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	275	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	276	1	Theorem	theorem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	276	2	4	4	CD
work_min2jdpukzaf5gkj3v2kj2he4q	276	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	277	1	Assume	assume	VB
work_min2jdpukzaf5gkj3v2kj2he4q	277	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	277	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	277	4	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	277	5	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	277	6	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	277	7	uniform	uniform	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	277	8	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	277	9	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	277	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	278	1	Then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	278	2	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	278	3	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	278	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	278	5	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	278	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	278	7	propor-	propor-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	278	8	tional	tional	NN
work_min2jdpukzaf5gkj3v2kj2he4q	278	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	278	10	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	278	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	278	12	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	278	13	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	278	14	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	278	15	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	278	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	279	1	Randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	2	Algorithms	Algorithms	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	279	3	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	279	4	Piecewise	Piecewise	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	279	5	Linear	Linear	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	279	6	Valuations	Valuations	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	279	7	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	279	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	279	9	previous	previous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	10	section	section	NN
work_min2jdpukzaf5gkj3v2kj2he4q	279	11	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	279	12	saw	see	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	279	13	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	279	14	designing	design	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	279	15	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	16	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	17	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	279	18	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	19	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	279	20	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	279	21	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	279	22	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	279	23	easy	easy	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	279	24	task	task	NN
work_min2jdpukzaf5gkj3v2kj2he4q	279	25	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	279	26	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	279	27	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	279	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	279	29	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	279	30	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	279	31	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	279	32	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	279	33	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	279	34	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	279	35	rather	rather	RB
work_min2jdpukzaf5gkj3v2kj2he4q	279	36	restricted	restrict	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	279	37	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	280	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	280	2	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	280	3	section	section	NN
work_min2jdpukzaf5gkj3v2kj2he4q	280	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	280	5	shall	shall	MD
work_min2jdpukzaf5gkj3v2kj2he4q	280	6	demonstrate	demonstrate	VB
work_min2jdpukzaf5gkj3v2kj2he4q	280	7	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	280	8	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	280	9	allowing	allow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	280	10	randomness	randomness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	280	11	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	280	12	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	280	13	obtain	obtain	VB
work_min2jdpukzaf5gkj3v2kj2he4q	280	14	significantly	significantly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	280	15	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	280	16	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	280	17	results	result	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	280	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	281	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	281	2	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	281	3	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	281	4	cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	281	5	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	281	6	outputs	output	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	281	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	281	8	random	random	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	281	9	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	281	10	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	281	11	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	281	12	reported	reported	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	281	13	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	281	14	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	281	15	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	281	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	281	17	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	281	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	282	1	There	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	282	2	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	282	3	very	very	RB
work_min2jdpukzaf5gkj3v2kj2he4q	282	4	few	few	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	282	5	previous	previous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	282	6	papers	paper	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	282	7	regarding	regard	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	282	8	ran-	ran-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	282	9	domized	domize	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	282	10	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	282	11	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	282	12	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	282	13	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	282	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	283	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	283	2	rare	rare	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	283	3	example	example	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	283	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	283	6	paper	paper	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	7	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	283	8	Edmonds	Edmonds	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	283	9	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	283	10	Pruhs	Pruhs	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	283	11	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	283	12	2006a	2006a	CD
work_min2jdpukzaf5gkj3v2kj2he4q	283	13	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	283	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	283	15	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	283	16	they	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	283	17	give	give	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	283	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	283	19	ran-	ran-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	283	20	domized	domized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	283	21	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	22	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	283	23	achieves	achieve	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	283	24	approximate	approximate	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	283	25	proportional-	proportional-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	26	ity	ity	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	27	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	283	28	high	high	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	283	29	probability	probability	NN
work_min2jdpukzaf5gkj3v2kj2he4q	283	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	284	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	284	2	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	284	3	looking	look	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	284	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	284	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	284	6	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	284	7	stringent	stringent	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	284	8	notion	notion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	284	9	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	284	10	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	284	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	285	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	285	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	285	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	285	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	285	5	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	285	6	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	285	7	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	285	8	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	285	9	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	285	10	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	285	11	resp	resp	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	285	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	285	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	285	14	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	285	15	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	285	16	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	285	17	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	285	18	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	285	19	always	always	RB
work_min2jdpukzaf5gkj3v2kj2he4q	285	20	returns	return	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	285	21	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	285	22	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	285	23	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	285	24	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	285	25	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	285	26	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	285	27	resp	resp	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	285	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	285	29	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	285	30	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	285	31	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	285	32	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	286	1	One	one	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	286	2	could	could	MD
work_min2jdpukzaf5gkj3v2kj2he4q	286	3	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	4	ask	ask	VB
work_min2jdpukzaf5gkj3v2kj2he4q	286	5	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	286	6	universal	universal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	286	7	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	286	9	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	10	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	286	12	re-	re-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	13	quire	quire	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	14	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	286	15	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	286	16	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	17	may	may	MD
work_min2jdpukzaf5gkj3v2kj2he4q	286	18	never	never	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	19	benefit	benefit	VB
work_min2jdpukzaf5gkj3v2kj2he4q	286	20	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	286	21	lying	lying	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	286	23	regardless	regardless	RB
work_min2jdpukzaf5gkj3v2kj2he4q	286	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	286	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	286	26	randomness	randomness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	286	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	286	29	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	286	30	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	287	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	287	2	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	287	3	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	287	4	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	287	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	287	6	simply	simply	RB
work_min2jdpukzaf5gkj3v2kj2he4q	287	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	287	8	probability	probability	NN
work_min2jdpukzaf5gkj3v2kj2he4q	287	9	distribution	distribution	NN
work_min2jdpukzaf5gkj3v2kj2he4q	287	10	over	over	IN
work_min2jdpukzaf5gkj3v2kj2he4q	287	11	determin-	determin-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	287	12	istic	istic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	287	13	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	287	14	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	287	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	288	1	However	however	RB
work_min2jdpukzaf5gkj3v2kj2he4q	288	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	288	3	asking	ask	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	288	4	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	288	5	both	both	DT
work_min2jdpukzaf5gkj3v2kj2he4q	288	6	univer-	univer-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	288	7	sal	sal	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	288	8	fairness	fairness	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	288	9	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	288	10	universal	universal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	288	11	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	288	12	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	288	13	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	288	14	allow	allow	VB
work_min2jdpukzaf5gkj3v2kj2he4q	288	15	us	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	288	16	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	288	17	enjoy	enjoy	VB
work_min2jdpukzaf5gkj3v2kj2he4q	288	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	288	19	additional	additional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	288	20	flexibility	flexibility	NN
work_min2jdpukzaf5gkj3v2kj2he4q	288	21	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	288	22	randomization	randomization	NN
work_min2jdpukzaf5gkj3v2kj2he4q	288	23	provides	provide	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	288	24	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	289	1	Therefore	therefore	RB
work_min2jdpukzaf5gkj3v2kj2he4q	289	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	289	3	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	289	4	slightly	slightly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	289	5	relax	relax	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	289	6	our	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	289	7	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	289	8	requirement	requirement	NN
work_min2jdpukzaf5gkj3v2kj2he4q	289	9	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	290	1	Informally	informally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	290	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	290	3	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	290	4	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	290	5	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	7	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	290	8	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	290	10	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	290	11	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	12	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	13	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	290	15	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	16	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	17	possible	possible	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	290	18	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	19	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	290	20	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	22	other	other	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	290	23	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	290	24	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	290	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	26	expected	expect	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	290	27	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	28	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	29	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	30	receives	receive	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	290	31	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	32	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	290	33	al-	al-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	34	location	location	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	35	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	290	36	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	290	37	increase	increase	VB
work_min2jdpukzaf5gkj3v2kj2he4q	290	38	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	39	lying	lie	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	290	40	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	290	41	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	290	42	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	43	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	44	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	290	45	taken	take	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	290	46	over	over	RP
work_min2jdpukzaf5gkj3v2kj2he4q	290	47	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	48	randomness	randomness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	49	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	290	50	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	290	51	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	290	52	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	291	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	291	2	remark	remark	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	291	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	291	4	while	while	IN
work_min2jdpukzaf5gkj3v2kj2he4q	291	5	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	6	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	291	7	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	8	seems	seem	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	9	natural	natural	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	10	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	291	11	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	12	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	291	13	i.e.	i.e.	FW
work_min2jdpukzaf5gkj3v2kj2he4q	291	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	291	15	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	16	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	291	17	envy	envy	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	18	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	291	19	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	20	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	291	21	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	22	something	something	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	23	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	291	24	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	291	25	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	291	26	like	like	VB
work_min2jdpukzaf5gkj3v2kj2he4q	291	27	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	291	28	hold	hold	VB
work_min2jdpukzaf5gkj3v2kj2he4q	291	29	ex	ex	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	30	-	-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	31	post	post	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	32	;	;	,
work_min2jdpukzaf5gkj3v2kj2he4q	291	33	fairness	fairness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	34	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	35	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	291	36	property	property	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	37	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	291	38	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	291	39	specific	specific	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	40	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	41	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	291	42	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	43	being	be	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	291	44	made	make	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	291	45	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	291	46	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	291	47	continues	continue	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	48	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	291	49	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	291	50	relevant	relevant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	291	51	after	after	IN
work_min2jdpukzaf5gkj3v2kj2he4q	291	52	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	291	53	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	291	54	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	291	55	ter-	ter-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	291	56	minated	minate	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	291	57	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	292	1	Interestingly	interestingly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	2	enough	enough	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	292	4	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	292	5	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	292	6	were	be	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	292	7	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	292	8	turn	turn	VB
work_min2jdpukzaf5gkj3v2kj2he4q	292	9	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	292	10	around	around	RP
work_min2jdpukzaf5gkj3v2kj2he4q	292	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	292	12	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	13	achieving	achieve	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	292	14	universal	universal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	292	15	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	16	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	292	17	envy-	envy-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	292	18	freeness	freeness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	19	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	292	20	proportionality	proportionality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	21	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	292	22	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	23	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	292	24	trivial	trivial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	292	25	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	292	26	simply	simply	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	27	al-	al-	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	28	locate	locate	VB
work_min2jdpukzaf5gkj3v2kj2he4q	292	29	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	292	30	entire	entire	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	292	31	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	32	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	292	33	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	292	34	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	292	35	random	random	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	292	36	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	292	37	!	!	.
work_min2jdpukzaf5gkj3v2kj2he4q	293	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	293	2	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	293	3	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	4	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	293	5	order	order	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	6	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	293	7	design	design	VB
work_min2jdpukzaf5gkj3v2kj2he4q	293	8	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	293	9	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	293	10	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	293	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	293	13	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	293	14	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	293	15	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	293	17	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	293	18	proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	293	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	293	20	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	293	21	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	293	22	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	293	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	293	24	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	293	25	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	293	26	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	293	27	very	very	RB
work_min2jdpukzaf5gkj3v2kj2he4q	293	28	special	special	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	293	29	type	type	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	30	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	293	31	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	293	32	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	294	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	294	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	294	3	follow-	follow-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	294	4	ing	ing	NN
work_min2jdpukzaf5gkj3v2kj2he4q	294	5	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	294	6	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	294	7	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	294	8	require	require	VB
work_min2jdpukzaf5gkj3v2kj2he4q	294	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	294	10	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	294	11	disposal	disposal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	294	12	assumption	assumption	NN
work_min2jdpukzaf5gkj3v2kj2he4q	294	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	294	14	that	that	RB
work_min2jdpukzaf5gkj3v2kj2he4q	294	15	is	is	RB
work_min2jdpukzaf5gkj3v2kj2he4q	294	16	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	294	17	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	294	18	will	will	MD
work_min2jdpukzaf5gkj3v2kj2he4q	294	19	consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	294	20	partitions	partition	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	294	21	X1	X1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	294	22	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	294	23	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	295	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	296	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	297	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	297	2	Xn	Xn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	297	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	297	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	297	5	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	297	6	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	297	7	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	297	8	⋃	⋃	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	297	9	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	297	10	Xi	Xi	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	297	11	=	=	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	297	12	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	297	13	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	297	14	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	297	15	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	297	16	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	297	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	298	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	298	2	say	say	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	298	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	298	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	298	5	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	298	6	X1	x1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	298	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	298	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	299	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	300	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	301	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	301	2	Xn	Xn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	301	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	301	4	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	301	5	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	301	6	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	301	7	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	301	8	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	301	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	301	10	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	301	11	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	301	12	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	301	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	301	14	vi(Xj	vi(Xj	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	301	15	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	301	16	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	301	17	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	301	18	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	301	19	n	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	301	20	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	302	1	Consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	302	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	302	3	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	302	4	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	302	5	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	302	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	303	1	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	303	2	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	303	3	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	303	4	V1	v1	FW
work_min2jdpukzaf5gkj3v2kj2he4q	303	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	303	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	304	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	305	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	306	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	306	2	Vn	Vn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	306	3	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	306	4	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	306	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	307	1	Find	find	VB
work_min2jdpukzaf5gkj3v2kj2he4q	307	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	307	3	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	307	4	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	307	5	X1	x1	NN
work_min2jdpukzaf5gkj3v2kj2he4q	307	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	307	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	308	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	309	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	310	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	310	2	Xn	Xn	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	310	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	311	1	2	2	LS
work_min2jdpukzaf5gkj3v2kj2he4q	311	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	312	1	Draw	draw	VB
work_min2jdpukzaf5gkj3v2kj2he4q	312	2	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	312	3	random	random	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	312	4	permutation	permutation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	312	5	π	π	NN
work_min2jdpukzaf5gkj3v2kj2he4q	312	6	over	over	IN
work_min2jdpukzaf5gkj3v2kj2he4q	312	7	N.	N.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	312	8	3	3	CD
work_min2jdpukzaf5gkj3v2kj2he4q	312	9	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	313	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	313	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	313	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	313	4	∈	∈	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	313	5	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	313	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	313	7	set	set	NN
work_min2jdpukzaf5gkj3v2kj2he4q	313	8	Ai	Ai	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	313	9	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	313	10	Xπ(i	Xπ(i	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	313	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	313	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	314	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	314	2	5	5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	314	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	315	1	Algorithm	Algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	315	2	2	2	CD
work_min2jdpukzaf5gkj3v2kj2he4q	315	3	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	315	4	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	315	5	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	315	6	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	315	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	315	8	univer-	univer-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	315	9	sally	sally	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	315	10	proportional	proportional	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	315	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	315	12	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	315	13	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	315	14	EF.8	EF.8	,
work_min2jdpukzaf5gkj3v2kj2he4q	315	15	Proof	Proof	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	315	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	316	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	2	fact	fact	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	3	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	316	4	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	5	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	6	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	316	7	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	316	8	propor-	propor-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	316	9	tional	tional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	316	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	316	11	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	316	12	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	316	13	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	316	14	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	316	15	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	16	definition	definition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	17	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	316	18	per-	per-	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	19	fect	fect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	316	20	partitions	partition	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	316	21	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	316	22	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	23	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	24	has	have	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	316	25	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	26	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	316	27	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	316	28	n	n	CC
work_min2jdpukzaf5gkj3v2kj2he4q	316	29	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	316	30	every	every	DT
work_min2jdpukzaf5gkj3v2kj2he4q	316	31	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	316	32	!	!	.
work_min2jdpukzaf5gkj3v2kj2he4q	317	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	317	2	turn	turn	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	317	3	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	317	4	truthfulness	truthfulness	NN
work_min2jdpukzaf5gkj3v2kj2he4q	317	5	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	317	6	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	317	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	318	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	318	2	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	318	3	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	318	4	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	318	5	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	318	6	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	318	7	N	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	318	8	obtains	obtain	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	318	9	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	318	10	reporting	report	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	318	11	truthfully	truthfully	RB
work_min2jdpukzaf5gkj3v2kj2he4q	318	12	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	318	13	exactly	exactly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	318	14	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	318	15	/	/	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	318	16	n	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	318	17	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	319	1	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	319	2	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	319	3	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	319	4	lies	lie	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	319	5	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	319	6	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	319	7	algorithm	algorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	319	8	may	may	MD
work_min2jdpukzaf5gkj3v2kj2he4q	319	9	choose	choose	VB
work_min2jdpukzaf5gkj3v2kj2he4q	319	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	319	11	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	319	12	par-	par-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	319	13	tition	tition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	319	14	X′1	X′1	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	319	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	319	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	320	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	321	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	322	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	322	2	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	322	3	′	′	XX
work_min2jdpukzaf5gkj3v2kj2he4q	322	4	n.	n.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	322	5	However	however	RB
work_min2jdpukzaf5gkj3v2kj2he4q	322	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	322	7	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	322	8	any	any	DT
work_min2jdpukzaf5gkj3v2kj2he4q	322	9	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	322	10	X	x	NN
work_min2jdpukzaf5gkj3v2kj2he4q	322	11	′	′	CD
work_min2jdpukzaf5gkj3v2kj2he4q	322	12	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	322	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	322	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	323	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	324	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	325	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	325	2	X	X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	3	′	′	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	4	n	n	CC
work_min2jdpukzaf5gkj3v2kj2he4q	325	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	325	6	expected	expect	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	325	7	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	325	9	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	10	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	325	11	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	325	12	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	325	13	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	325	14	random	random	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	325	15	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	16	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	325	17	∑	∑	.
work_min2jdpukzaf5gkj3v2kj2he4q	325	18	j∈N	j∈n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	19	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	20	n	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	21	·	·	NFP
work_min2jdpukzaf5gkj3v2kj2he4q	325	22	Vi(X′j	Vi(X′j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	23	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	325	24	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	325	25	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	26	n	n	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	27			NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	28	∑	∑	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	325	29	j∈N	j∈n	VB
work_min2jdpukzaf5gkj3v2kj2he4q	325	30	Vi(X	Vi(X	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	31	′	′	ADD
work_min2jdpukzaf5gkj3v2kj2he4q	325	32	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	33	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	325	34			CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	35			NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	36	=	=	SYM
work_min2jdpukzaf5gkj3v2kj2he4q	325	37	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	38	n	n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	325	39	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	325	40	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	325	41	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	325	42	second	second	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	325	43	equality	equality	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	44	follows	follow	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	325	45	from	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	325	46	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	325	47	fact	fact	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	48	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	325	49	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	325	50	val-	val-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	325	51	uation	uation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	325	52	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	325	53	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	325	54	additive	additive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	325	55	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	326	1	Finding	find	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	326	2	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	326	3	partitions	partition	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	326	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	327	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	327	2	5	5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	327	3	holds	hold	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	327	4	much	much	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	327	5	promise	promise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	327	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	327	7	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	327	8	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	327	9	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	327	10	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	327	11	valid	valid	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	327	12	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	327	13	all	all	DT
work_min2jdpukzaf5gkj3v2kj2he4q	327	14	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	327	15	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	327	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	328	1	But	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	328	2	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	328	3	still	still	RB
work_min2jdpukzaf5gkj3v2kj2he4q	328	4	remains	remain	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	328	5	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	328	6	obstacle	obstacle	NN
work_min2jdpukzaf5gkj3v2kj2he4q	328	7	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	328	8	actually	actually	RB
work_min2jdpukzaf5gkj3v2kj2he4q	328	9	finding	find	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	328	10	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	328	11	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	328	12	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	328	13	given	give	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	328	14	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	328	15	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	328	16	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	328	17	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	328	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	328	19	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	328	20	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	329	1	Does	do	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	329	2	such	such	PDT
work_min2jdpukzaf5gkj3v2kj2he4q	329	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	329	4	par-	par-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	329	5	tition	tition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	329	6	exist	exist	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	329	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	329	8	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	329	9	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	329	10	it	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	329	11	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	329	12	computed	compute	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	329	13	?	?	.
work_min2jdpukzaf5gkj3v2kj2he4q	330	1	More	More	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	330	2	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	3	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	330	4	decades	decade	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	330	5	ago	ago	RB
work_min2jdpukzaf5gkj3v2kj2he4q	330	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	330	7	Noga	Noga	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	330	8	Alon	Alon	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	330	9	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	330	10	1987	1987	CD
work_min2jdpukzaf5gkj3v2kj2he4q	330	11	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	330	12	proved	prove	VBD
work_min2jdpukzaf5gkj3v2kj2he4q	330	13	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	14	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	15	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	16	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	17	func-	func-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	330	18	tions	tion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	330	19	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	20	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	21	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	330	22	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	330	23	defined	define	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	330	24	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	25	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	26	integral	integral	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	28	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	29	continuous	continuous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	330	30	probability	probability	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	31	measure	measure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	32	then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	330	33	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	330	34	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	330	35	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	36	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	330	37	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	38	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	330	39	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	40	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	330	41	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	330	42	generalization	generalization	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	43	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	44	his	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	330	45	famous	famous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	330	46	theorem	theorem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	47	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	330	48	necklace	necklace	NN
work_min2jdpukzaf5gkj3v2kj2he4q	330	49	split-	split-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	330	50	ting	ting	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	330	51	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	331	1	Unfortunately	unfortunately	RB
work_min2jdpukzaf5gkj3v2kj2he4q	331	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	331	3	Alon	Alon	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	331	4	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	331	5	elegant	elegant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	6	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	7	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	331	8	nonconstructive	nonconstructive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	9	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	331	10	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	331	11	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	331	12	unusual	unusual	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	13	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	331	14	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	331	15	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	16	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	331	17	combinatorics	combinatoric	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	331	18	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	331	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	331	20	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	331	21	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	331	22	this	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	331	23	day	day	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	24	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	331	25	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	331	26	no	no	DT
work_min2jdpukzaf5gkj3v2kj2he4q	331	27	known	known	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	28	constructive	constructive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	29	method	method	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	30	under	under	IN
work_min2jdpukzaf5gkj3v2kj2he4q	331	31	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	331	32	as-	as-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	33	sumptions	sumption	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	331	34	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	331	35	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	331	36	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	331	37	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	331	38	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	332	1	This	this	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	2	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	332	3	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	332	4	surprising	surprising	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	332	5	since	since	IN
work_min2jdpukzaf5gkj3v2kj2he4q	332	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	7	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	332	8	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	332	9	induces	induce	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	332	10	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	11	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	332	12	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	332	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	332	14	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	332	15	find-	find-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	332	16	ing	ing	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	332	17	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	18	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	332	19	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	332	20	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	332	21	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	22	bounded	bound	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	332	23	number	number	NN
work_min2jdpukzaf5gkj3v2kj2he4q	332	24	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	332	25	steps	step	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	332	26	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	332	27	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	332	28	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	332	29	four	four	CD
work_min2jdpukzaf5gkj3v2kj2he4q	332	30	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	332	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	332	32	an	an	DT
work_min2jdpukzaf5gkj3v2kj2he4q	332	33	open	open	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	332	34	problem	problem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	332	35	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	333	1	To	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	333	2	obtain	obtain	VB
work_min2jdpukzaf5gkj3v2kj2he4q	333	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	333	4	computational	computational	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	333	5	method	method	NN
work_min2jdpukzaf5gkj3v2kj2he4q	333	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	333	7	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	333	8	consider	consider	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	333	9	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	333	10	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	333	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	333	12	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	333	13	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	333	14	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	333	15	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	334	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	334	2	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	3	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	4	Vi	Vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	334	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	334	6	considered	consider	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	334	7	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	8	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	334	9	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	334	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	334	11	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	334	12	if	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	334	13	its	-PRON-	PRP$
work_min2jdpukzaf5gkj3v2kj2he4q	334	14	correspond-	correspond-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	334	15	ing	ing	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	16	value	value	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	17	density	density	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	18	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	19	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	334	20	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	334	21	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	334	22	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	334	23	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	334	24	[	[	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	334	25	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	334	26	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	334	27	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	334	28	]	]	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	334	29	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	335	1	Piecewise	Piecewise	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	335	2	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	335	3	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	335	4	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	335	5	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	335	6	significantly	significantly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	335	7	more	more	RBR
work_min2jdpukzaf5gkj3v2kj2he4q	335	8	general	general	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	335	9	than	than	IN
work_min2jdpukzaf5gkj3v2kj2he4q	335	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	335	11	class	class	NN
work_min2jdpukzaf5gkj3v2kj2he4q	335	12	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	335	13	piecewise	piecewise	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	335	14	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	335	15	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	335	16	func-	func-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	335	17	tions	tion	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	335	18	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	336	1	A	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	336	2	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	3	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	336	4	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	5	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	6	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	336	7	be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	336	8	con-	con-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	9	cisely	cisely	RB
work_min2jdpukzaf5gkj3v2kj2he4q	336	10	represented	represent	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	336	11	by	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	336	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	336	13	intervals	interval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	336	14	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	336	15	which	which	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	336	16	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	336	17	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	336	18	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	336	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	336	20	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	336	21	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	336	22	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	336	23	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	24	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	336	25	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	336	26	parameters	parameter	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	336	27	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	336	28	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	336	29	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	336	30	function	function	NN
work_min2jdpukzaf5gkj3v2kj2he4q	336	31	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	337	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	337	2	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	337	3	lemma	lemma	NN
work_min2jdpukzaf5gkj3v2kj2he4q	337	4	provides	provide	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	337	5	us	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	337	6	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	337	7	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	337	8	tractable	tractable	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	337	9	method	method	NN
work_min2jdpukzaf5gkj3v2kj2he4q	337	10	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	337	11	finding	find	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	337	12	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	337	13	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	337	14	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	337	15	when	when	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	337	16	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	337	17	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	337	18	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	337	19	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	337	20	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	337	21	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	337	22	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	337	23	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	338	1	8Mossel	8Mossel	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	338	2	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	338	3	Tamuz	Tamuz	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	338	4	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	338	5	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	338	6	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	338	7	make	make	VB
work_min2jdpukzaf5gkj3v2kj2he4q	338	8	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	338	9	same	same	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	338	10	observation	observation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	338	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	339	1	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	339	2	6	6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	339	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	340	1	Assume	assume	VB
work_min2jdpukzaf5gkj3v2kj2he4q	340	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	340	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	340	4	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	340	5	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	340	6	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	340	7	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	340	8	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	340	9	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	340	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	341	1	Consider	consider	VB
work_min2jdpukzaf5gkj3v2kj2he4q	341	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	341	3	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	341	4	procedure	procedure	NN
work_min2jdpukzaf5gkj3v2kj2he4q	341	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	342	1	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	342	2	make	make	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	342	3	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	342	4	mark	mark	NN
work_min2jdpukzaf5gkj3v2kj2he4q	342	5	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	342	6	0	0	CD
work_min2jdpukzaf5gkj3v2kj2he4q	342	7	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	342	8	1	1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	342	9	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	342	10	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	342	11	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	342	12	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	342	13	agent	agent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	342	14	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	342	15	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	342	16	N	N	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	342	17	make	make	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	342	18	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	342	19	mark	mark	NN
work_min2jdpukzaf5gkj3v2kj2he4q	342	20	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	342	21	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	342	22	left	left	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	342	23	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	342	24	right	right	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	342	25	boundaries	boundary	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	342	26	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	342	27	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	342	28	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	342	29	where	where	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	342	30	vi	vi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	342	31	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	342	32	linear	linear	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	342	33	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	343	1	Next	next	RB
work_min2jdpukzaf5gkj3v2kj2he4q	343	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	343	3	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	343	4	divide	divide	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	343	5	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	343	6	interval	interval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	343	7	Ij	Ij	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	343	8	between	between	IN
work_min2jdpukzaf5gkj3v2kj2he4q	343	9	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	343	10	consecutive	consecutive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	343	11	marks	mark	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	343	12	into	into	IN
work_min2jdpukzaf5gkj3v2kj2he4q	343	13	2n	2n	CD
work_min2jdpukzaf5gkj3v2kj2he4q	343	14	consecutive	consecutive	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	343	15	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	343	16	connected	connected	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	343	17	subin-	subin-	NN
work_min2jdpukzaf5gkj3v2kj2he4q	343	18	tervals	terval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	343	19	I1j	I1j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	343	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	343	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	344	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	345	1	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	346	1	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	346	2	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	346	3	2n	2n	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	346	4	j	j	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	346	5	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	346	6	equal	equal	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	346	7	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	346	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	347	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	347	2	each	each	DT
work_min2jdpukzaf5gkj3v2kj2he4q	347	3	such	such	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	347	4	Ij	Ij	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	347	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	347	6	ev-	ev-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	347	7	ery	ery	NN
work_min2jdpukzaf5gkj3v2kj2he4q	347	8	i	i	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	347	9	∈	∈	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	347	10	N	n	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	347	11	add	add	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	347	12	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	347	13	subintervals	subinterval	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	347	14	Iij	Iij	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	347	15	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	347	16	I	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	347	17	2n−i+1	2n−i+1	CD
work_min2jdpukzaf5gkj3v2kj2he4q	347	18	j	j	NN
work_min2jdpukzaf5gkj3v2kj2he4q	347	19	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	347	20	Xi	Xi	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	347	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	348	1	Then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	348	2	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	348	3	overall	overall	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	348	4	partition	partition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	348	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	348	6	perfect	perfect	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	348	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	349	1	The	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	349	2	lemma	lemma	NN
work_min2jdpukzaf5gkj3v2kj2he4q	349	3	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	349	4	proof	proof	NN
work_min2jdpukzaf5gkj3v2kj2he4q	349	5	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	349	6	omitted	omit	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	349	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	350	1	By	by	IN
work_min2jdpukzaf5gkj3v2kj2he4q	350	2	combining	combine	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	350	3	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	350	4	6	6	CD
work_min2jdpukzaf5gkj3v2kj2he4q	350	5	with	with	IN
work_min2jdpukzaf5gkj3v2kj2he4q	350	6	Lemma	Lemma	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	350	7	5	5	CD
work_min2jdpukzaf5gkj3v2kj2he4q	350	8	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	350	9	obtain	obtain	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	350	10	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	350	11	following	follow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	350	12	result	result	NN
work_min2jdpukzaf5gkj3v2kj2he4q	350	13	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	351	1	Theorem	theorem	NN
work_min2jdpukzaf5gkj3v2kj2he4q	351	2	7	7	CD
work_min2jdpukzaf5gkj3v2kj2he4q	351	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	352	1	Assume	assume	VB
work_min2jdpukzaf5gkj3v2kj2he4q	352	2	that	that	IN
work_min2jdpukzaf5gkj3v2kj2he4q	352	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	352	4	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	352	5	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	352	6	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	352	7	lin-	lin-	FW
work_min2jdpukzaf5gkj3v2kj2he4q	352	8	ear	ear	XX
work_min2jdpukzaf5gkj3v2kj2he4q	352	9	valuation	valuation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	352	10	functions	function	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	352	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	353	1	Then	then	RB
work_min2jdpukzaf5gkj3v2kj2he4q	353	2	there	there	EX
work_min2jdpukzaf5gkj3v2kj2he4q	353	3	exists	exist	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	353	4	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	353	5	randomized	randomized	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	353	6	al-	al-	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	353	7	gorithm	gorithm	NN
work_min2jdpukzaf5gkj3v2kj2he4q	353	8	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	353	9	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	353	10	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	353	11	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	353	12	expectation	expectation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	353	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	353	14	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	353	15	propor-	propor-	XX
work_min2jdpukzaf5gkj3v2kj2he4q	353	16	tional	tional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	353	17	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	353	18	universally	universally	RB
work_min2jdpukzaf5gkj3v2kj2he4q	353	19	EF	EF	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	353	20	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	353	21	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	353	22	polynomial	polynomial	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	353	23	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	353	24	time	time	NN
work_min2jdpukzaf5gkj3v2kj2he4q	353	25	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	354	1	Discussion	discussion	NN
work_min2jdpukzaf5gkj3v2kj2he4q	354	2	We	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	354	3	have	have	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	354	4	made	make	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	354	5	progress	progress	NN
work_min2jdpukzaf5gkj3v2kj2he4q	354	6	on	on	IN
work_min2jdpukzaf5gkj3v2kj2he4q	354	7	truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	354	8	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	354	9	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	354	10	algorithms	algorithm	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	354	11	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	354	12	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	354	13	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	354	14	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	355	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	2	unpublished	unpublished	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	3	work	work	NN
work_min2jdpukzaf5gkj3v2kj2he4q	355	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	355	5	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	355	6	can	can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	355	7	also	also	RB
work_min2jdpukzaf5gkj3v2kj2he4q	355	8	preclude	preclude	VB
work_min2jdpukzaf5gkj3v2kj2he4q	355	9	simpler	simple	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	355	10	methods	method	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	355	11	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	355	12	make	make	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	355	13	only	only	RB
work_min2jdpukzaf5gkj3v2kj2he4q	355	14	contiguous	contiguous	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	15	allocations	allocation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	355	16	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	355	17	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	355	18	look	look	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	355	19	closer	close	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	355	20	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	21	generalizations	generalization	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	355	22	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	23	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	355	24	classic	classic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	25	cut	cut	VBN
work_min2jdpukzaf5gkj3v2kj2he4q	355	26	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	355	27	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	355	28	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	355	29	choose	choose	VB
work_min2jdpukzaf5gkj3v2kj2he4q	355	30	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	355	31	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	355	32	even	even	RB
work_min2jdpukzaf5gkj3v2kj2he4q	355	33	for	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	34	two	two	CD
work_min2jdpukzaf5gkj3v2kj2he4q	355	35	agents	agent	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	355	36	both	both	DT
work_min2jdpukzaf5gkj3v2kj2he4q	355	37	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	38	whom	whom	WP
work_min2jdpukzaf5gkj3v2kj2he4q	355	39	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	355	40	uniformly	uniformly	RB
work_min2jdpukzaf5gkj3v2kj2he4q	355	41	interested	interested	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	42	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	355	43	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	355	44	single	single	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	45	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	355	46	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	355	47	different	different	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	355	48	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	355	49	subinterval	subinterval	NN
work_min2jdpukzaf5gkj3v2kj2he4q	355	50	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	356	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	356	2	future	future	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	356	3	work	work	NN
work_min2jdpukzaf5gkj3v2kj2he4q	356	4	we	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	356	5	would	would	MD
work_min2jdpukzaf5gkj3v2kj2he4q	356	6	like	like	VB
work_min2jdpukzaf5gkj3v2kj2he4q	356	7	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	356	8	generalize	generalize	VB
work_min2jdpukzaf5gkj3v2kj2he4q	356	9	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	356	10	deterministic	deterministic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	356	11	algorithm	algorithm	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	356	12	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	356	13	piecewise	piecewise	VB
work_min2jdpukzaf5gkj3v2kj2he4q	356	14	constant	constant	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	356	15	valuations	valuation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	356	16	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	356	17	drop	drop	VB
work_min2jdpukzaf5gkj3v2kj2he4q	356	18	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	356	19	free	free	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	356	20	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	356	21	disposal	disposal	NN
work_min2jdpukzaf5gkj3v2kj2he4q	356	22	assumption	assumption	NN
work_min2jdpukzaf5gkj3v2kj2he4q	356	23	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	357	1	For	for	IN
work_min2jdpukzaf5gkj3v2kj2he4q	357	2	practical	practical	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	357	3	settings	setting	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	357	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	357	5	allowing	allow	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	357	6	more	more	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	357	7	expres-	expres-	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	357	8	siveness	siveness	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	357	9	(	(	-LRB-
work_min2jdpukzaf5gkj3v2kj2he4q	357	10	e.g.	e.g.	RB
work_min2jdpukzaf5gkj3v2kj2he4q	357	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	357	12	piecewise	piecewise	NN
work_min2jdpukzaf5gkj3v2kj2he4q	357	13	linear	linear	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	357	14	but	but	CC
work_min2jdpukzaf5gkj3v2kj2he4q	357	15	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	357	16	requirement	requirement	NN
work_min2jdpukzaf5gkj3v2kj2he4q	357	17	that	that	WDT
work_min2jdpukzaf5gkj3v2kj2he4q	357	18	inter-	inter-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	357	19	vals	val	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	357	20	are	be	VBP
work_min2jdpukzaf5gkj3v2kj2he4q	357	21	above	above	IN
work_min2jdpukzaf5gkj3v2kj2he4q	357	22	some	some	DT
work_min2jdpukzaf5gkj3v2kj2he4q	357	23	threshold	threshold	NN
work_min2jdpukzaf5gkj3v2kj2he4q	357	24	length	length	NN
work_min2jdpukzaf5gkj3v2kj2he4q	357	25	)	)	-RRB-
work_min2jdpukzaf5gkj3v2kj2he4q	357	26	seems	seem	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	357	27	important	important	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	357	28	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	358	1	References	References	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	358	2	Alon	Alon	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	358	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	358	4	N.	N.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	358	5	1987	1987	CD
work_min2jdpukzaf5gkj3v2kj2he4q	358	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	359	1	Splitting	splitting	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	359	2	necklaces	necklace	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	359	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	360	1	Advances	advance	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	360	2	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	360	3	Mathematics	Mathematics	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	360	4	63:241–253	63:241–253	CD
work_min2jdpukzaf5gkj3v2kj2he4q	360	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	361	1	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	361	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	361	3	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	361	4	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	361	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	361	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	361	7	Taylor	Taylor	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	361	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	361	9	A.	a.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	361	10	D.	D.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	361	11	1996	1996	CD
work_min2jdpukzaf5gkj3v2kj2he4q	361	12	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	362	1	Fair	Fair	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	362	2	Division	Division	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	362	3	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	362	4	From	from	IN
work_min2jdpukzaf5gkj3v2kj2he4q	362	5	Cake-	Cake-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	362	6	Cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	362	7	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	362	8	Dispute	Dispute	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	362	9	Resolution	Resolution	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	362	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	363	1	Cambridge	Cambridge	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	363	2	University	University	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	363	3	Press	Press	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	363	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	364	1	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	364	3	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	4	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	5	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	364	6	Jones	Jones	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	364	8	M.	M.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	9	A.	A.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	10	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	364	11	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	364	12	Klamler	Klamler	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	364	14	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	364	15	2006	2006	CD
work_min2jdpukzaf5gkj3v2kj2he4q	364	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	365	1	Better	well	JJR
work_min2jdpukzaf5gkj3v2kj2he4q	365	2	ways	way	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	365	3	to	to	TO
work_min2jdpukzaf5gkj3v2kj2he4q	365	4	cut	cut	VB
work_min2jdpukzaf5gkj3v2kj2he4q	365	5	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	365	6	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	365	7	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	366	1	Notices	notice	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	366	2	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	366	3	the	the	DT
work_min2jdpukzaf5gkj3v2kj2he4q	366	4	AMS	AMS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	366	5	53(11):1314–1321	53(11):1314–1321	CD
work_min2jdpukzaf5gkj3v2kj2he4q	366	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	367	1	Brams	Brams	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	367	3	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	4	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	5	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	367	6	Jones	Jones	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	367	8	M.	M.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	9	A.	A.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	10	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	367	11	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	367	12	Klamler	Klamler	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	13	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	367	14	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	367	15	2008	2008	CD
work_min2jdpukzaf5gkj3v2kj2he4q	367	16	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	368	1	Proportional	proportional	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	368	2	pie	pie	NN
work_min2jdpukzaf5gkj3v2kj2he4q	368	3	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	368	4	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	368	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	369	1	Int	Int	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	369	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	370	1	Journal	Journal	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	370	2	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	370	3	Game	Game	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	370	4	Theory	Theory	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	370	5	36(3–4):353–367	36(3–4):353–367	CD
work_min2jdpukzaf5gkj3v2kj2he4q	370	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	371	1	Chevaleyre	Chevaleyre	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	3	Y.	Y.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	4	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	5	Dunne	Dunne	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	6	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	7	P.	P.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	8	E.	E.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	9	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	10	Endriss	Endriss	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	11	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	12	U.	U.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	13	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	14	Lang	Lang	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	15	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	16	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	17	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	18	Lemaı̂tre	Lemaı̂tre	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	19	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	20	M.	M.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	21	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	22	Maudet	Maudet	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	23	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	24	N.	N.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	25	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	26	Padget	Padget	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	27	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	28	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	29	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	30	Phelps	Phelps	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	31	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	32	S.	S.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	33	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	371	34	Rodrı́guez	Rodrı́guez	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	35	-	-	HYPH
work_min2jdpukzaf5gkj3v2kj2he4q	371	36	Aguilar	Aguilar	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	371	37	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	371	38	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	372	1	A.	a.	LS
work_min2jdpukzaf5gkj3v2kj2he4q	372	2	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	372	3	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	372	4	Sousa	Sousa	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	372	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	372	6	P.	P.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	372	7	2006	2006	CD
work_min2jdpukzaf5gkj3v2kj2he4q	372	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	373	1	Issues	issue	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	373	2	in	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	373	3	multiagent	multiagent	NN
work_min2jdpukzaf5gkj3v2kj2he4q	373	4	resource	resource	NN
work_min2jdpukzaf5gkj3v2kj2he4q	373	5	allocation	allocation	NN
work_min2jdpukzaf5gkj3v2kj2he4q	373	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	374	1	Informatica	Informatica	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	374	2	30:3–31	30:3–31	CD
work_min2jdpukzaf5gkj3v2kj2he4q	374	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	375	1	Cormen	Cormen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	375	3	T.	T.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	4	H.	H.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	5	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	375	6	Leiserson	Leiserson	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	375	8	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	9	E.	E.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	10	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	375	11	Rivest	Rivest	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	12	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	375	13	R.	R.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	14	L.	L.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	15	;	;	:
work_min2jdpukzaf5gkj3v2kj2he4q	375	16	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	375	17	Stein	Stein	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	18	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	375	19	C.	C.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	375	20	2001	2001	CD
work_min2jdpukzaf5gkj3v2kj2he4q	375	21	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	376	1	Introduction	introduction	NN
work_min2jdpukzaf5gkj3v2kj2he4q	376	2	to	to	IN
work_min2jdpukzaf5gkj3v2kj2he4q	376	3	Algorithms	Algorithms	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	376	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	377	1	MIT	MIT	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	377	2	Press	Press	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	377	3	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	377	4	2nd	2nd	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	377	5	edition	edition	NN
work_min2jdpukzaf5gkj3v2kj2he4q	377	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	378	1	Edmonds	Edmonds	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	378	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	378	3	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	378	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	378	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	378	6	Pruhs	Pruhs	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	378	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	378	8	K.	K.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	378	9	2006a	2006a	CD
work_min2jdpukzaf5gkj3v2kj2he4q	378	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	379	1	Balanced	balanced	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	379	2	allocations	allocation	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	379	3	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	379	4	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	379	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	380	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	380	2	Proc	Proc	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	380	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	381	1	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	381	2	47th	47th	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	381	3	FOCS	FOCS	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	381	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	381	5	623–634	623–634	CD
work_min2jdpukzaf5gkj3v2kj2he4q	381	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	382	1	Edmonds	Edmonds	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	382	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	382	3	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	382	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	382	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	382	6	Pruhs	Pruhs	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	382	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	382	8	K.	K.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	382	9	2006b	2006b	CD
work_min2jdpukzaf5gkj3v2kj2he4q	382	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	383	1	Cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	383	2	cutting	cutting	NN
work_min2jdpukzaf5gkj3v2kj2he4q	383	3	really	really	RB
work_min2jdpukzaf5gkj3v2kj2he4q	383	4	is	be	VBZ
work_min2jdpukzaf5gkj3v2kj2he4q	383	5	not	not	RB
work_min2jdpukzaf5gkj3v2kj2he4q	383	6	a	a	DT
work_min2jdpukzaf5gkj3v2kj2he4q	383	7	piece	piece	NN
work_min2jdpukzaf5gkj3v2kj2he4q	383	8	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	383	9	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	383	10	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	384	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	384	2	Proc	Proc	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	384	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	385	1	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	385	2	17th	17th	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	385	3	SODA	SODA	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	385	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	385	5	271–278	271–278	CD
work_min2jdpukzaf5gkj3v2kj2he4q	385	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	386	1	Mossel	Mossel	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	386	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	386	3	E.	E.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	386	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	386	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	386	6	Tamuz	Tamuz	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	386	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	386	8	O.	O.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	387	1	2010	2010	CD
work_min2jdpukzaf5gkj3v2kj2he4q	387	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	388	1	Truthful	truthful	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	388	2	fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	388	3	division	division	NN
work_min2jdpukzaf5gkj3v2kj2he4q	388	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	389	1	Manuscript	manuscript	NN
work_min2jdpukzaf5gkj3v2kj2he4q	389	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	390	1	Nisan	Nisan	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	390	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	390	3	N.	N.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	390	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	390	5	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	390	6	Ronen	Ronen	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	390	7	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	390	8	A.	a.	NN
work_min2jdpukzaf5gkj3v2kj2he4q	391	1	2001	2001	CD
work_min2jdpukzaf5gkj3v2kj2he4q	391	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	392	1	Algorithmic	algorithmic	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	392	2	mechanism	mechanism	NN
work_min2jdpukzaf5gkj3v2kj2he4q	392	3	design	design	NN
work_min2jdpukzaf5gkj3v2kj2he4q	392	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	393	1	Games	Games	NNPS
work_min2jdpukzaf5gkj3v2kj2he4q	393	2	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	393	3	Economic	Economic	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	393	4	Behavior	Behavior	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	393	5	35(1–2):166–196	35(1–2):166–196	CD
work_min2jdpukzaf5gkj3v2kj2he4q	393	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	394	1	Procaccia	Procaccia	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	394	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	394	3	A.	A.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	394	4	D.	D.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	394	5	2009	2009	CD
work_min2jdpukzaf5gkj3v2kj2he4q	394	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	395	1	Thou	Thou	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	395	2	shalt	shalt	NN
work_min2jdpukzaf5gkj3v2kj2he4q	395	3	covet	covet	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	395	4	thy	thy	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	395	5	neighbor	neighbor	NN
work_min2jdpukzaf5gkj3v2kj2he4q	395	6	’s	’s	POS
work_min2jdpukzaf5gkj3v2kj2he4q	395	7	cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	395	8	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	396	1	In	in	IN
work_min2jdpukzaf5gkj3v2kj2he4q	396	2	Proc	Proc	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	396	3	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	397	1	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	397	2	21st	21st	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	397	3	IJCAI	IJCAI	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	397	4	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	397	5	239–244	239–244	CD
work_min2jdpukzaf5gkj3v2kj2he4q	397	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	398	1	Robertson	Robertson	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	398	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	398	3	J.	J.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	398	4	M.	M.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	398	5	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	398	6	and	and	CC
work_min2jdpukzaf5gkj3v2kj2he4q	398	7	Webb	Webb	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	398	8	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	398	9	W.	W.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	398	10	A.	A.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	399	1	1998	1998	CD
work_min2jdpukzaf5gkj3v2kj2he4q	399	2	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	400	1	Cake	cake	NN
work_min2jdpukzaf5gkj3v2kj2he4q	400	2	Cutting	cut	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	400	3	Algo-	Algo-	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	400	4	rithms	rithms	NN
work_min2jdpukzaf5gkj3v2kj2he4q	400	5	:	:	:
work_min2jdpukzaf5gkj3v2kj2he4q	400	6	Be	be	VB
work_min2jdpukzaf5gkj3v2kj2he4q	400	7	Fair	fair	JJ
work_min2jdpukzaf5gkj3v2kj2he4q	400	8	If	if	IN
work_min2jdpukzaf5gkj3v2kj2he4q	400	9	You	-PRON-	PRP
work_min2jdpukzaf5gkj3v2kj2he4q	400	10	Can	Can	MD
work_min2jdpukzaf5gkj3v2kj2he4q	400	11	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	401	1	A.	A.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	401	2	K.	K.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	401	3	Peters	Peters	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	401	4	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	402	1	Thomson	Thomson	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	402	2	,	,	,
work_min2jdpukzaf5gkj3v2kj2he4q	402	3	W.	W.	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	402	4	2007	2007	CD
work_min2jdpukzaf5gkj3v2kj2he4q	402	5	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	403	1	Children	child	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	403	2	crying	cry	VBG
work_min2jdpukzaf5gkj3v2kj2he4q	403	3	at	at	IN
work_min2jdpukzaf5gkj3v2kj2he4q	403	4	birthday	birthday	NN
work_min2jdpukzaf5gkj3v2kj2he4q	403	5	parties	party	NNS
work_min2jdpukzaf5gkj3v2kj2he4q	403	6	.	.	.
work_min2jdpukzaf5gkj3v2kj2he4q	404	1	Why	why	WRB
work_min2jdpukzaf5gkj3v2kj2he4q	404	2	?	?	.
work_min2jdpukzaf5gkj3v2kj2he4q	405	1	Journal	Journal	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	405	2	of	of	IN
work_min2jdpukzaf5gkj3v2kj2he4q	405	3	Economic	Economic	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	405	4	Theory	Theory	NNP
work_min2jdpukzaf5gkj3v2kj2he4q	405	5	31:501–521	31:501–521	CD
work_min2jdpukzaf5gkj3v2kj2he4q	405	6	.	.	.