id	sid	eid	entity	type
ejpam-3780	1	1	european journal	ORG
ejpam-3780	2	1	13	CARDINAL
ejpam-3780	2	2	3, 2020	DATE
ejpam-3780	2	3	674	CARDINAL
ejpam-3780	2	4	new york	GPE
ejpam-3780	2	5	zero	CARDINAL
ejpam-3780	2	6	dhenmar e. chua1,2,∗	PERSON
ejpam-3780	2	7	francis joseph h. campeña1	PERSON
ejpam-3780	2	8	a. franco	PERSON
ejpam-3780	2	9	1	CARDINAL
ejpam-3780	2	10	de la salle university	ORG
ejpam-3780	2	11	manila	GPE
ejpam-3780	2	12	philippines	GPE
ejpam-3780	2	13	2	CARDINAL
ejpam-3780	2	14	adamson university	ORG
ejpam-3780	2	15	manila	GPE
ejpam-3780	2	16	3	CARDINAL
ejpam-3780	2	17	mariano marcos state university	ORG
ejpam-3780	2	18	ilocos norte	ORG
ejpam-3780	2	19	philippines	GPE
ejpam-3780	3	1	zero	CARDINAL
ejpam-3780	3	2	two	CARDINAL
ejpam-3780	3	3	zero	CARDINAL
ejpam-3780	4	1	zero	CARDINAL
ejpam-3780	4	2	zero	CARDINAL
ejpam-3780	4	3	two	CARDINAL
ejpam-3780	4	4	zero	CARDINAL
ejpam-3780	5	1	zero	CARDINAL
ejpam-3780	5	2	zero	CARDINAL
ejpam-3780	6	1	zero	CARDINAL
ejpam-3780	7	1	zero	CARDINAL
ejpam-3780	9	1	2020	DATE
ejpam-3780	9	2	05c05	CARDINAL
ejpam-3780	9	3	05c78	CARDINAL
ejpam-3780	9	4	zero	CARDINAL
ejpam-3780	9	5	zero	CARDINAL
ejpam-3780	9	6	zero	CARDINAL
ejpam-3780	9	7	1	CARDINAL
ejpam-3780	12	1	2014	DATE
ejpam-3780	12	2	acharya et al	PERSON
ejpam-3780	13	1	1	CARDINAL
ejpam-3780	13	2	zero	CARDINAL
ejpam-3780	14	1	zero	CARDINAL
ejpam-3780	14	2	two	CARDINAL
ejpam-3780	14	3	zero	CARDINAL
ejpam-3780	14	4	zero	CARDINAL
ejpam-3780	15	1	zero	CARDINAL
ejpam-3780	15	2	some zero	CARDINAL
ejpam-3780	16	1	zero	CARDINAL
ejpam-3780	16	2	zero	CARDINAL
ejpam-3780	16	3	zero	CARDINAL
ejpam-3780	17	1	pranjali et al	PERSON
ejpam-3780	18	1	6	CARDINAL
ejpam-3780	18	2	zero	CARDINAL
ejpam-3780	18	3	n. ∗corresponding	ORG
ejpam-3780	19	1	d. chua	PERSON
ejpam-3780	19	2	francis.campena@dlsu.edu.ph (f. campeña	PERSON
ejpam-3780	19	3	f. franco	PERSON
ejpam-3780	20	1	674	CARDINAL
ejpam-3780	20	2	2020	DATE
ejpam-3780	21	1	d. chua	PERSON
ejpam-3780	21	2	f. campeña	PERSON
ejpam-3780	21	3	f. franco	PERSON
ejpam-3780	22	1	j. pure	PERSON
ejpam-3780	22	2	13	CARDINAL
ejpam-3780	22	3	3	CARDINAL
ejpam-3780	22	4	2020	DATE
ejpam-3780	22	5	674-696	CARDINAL
ejpam-3780	22	6	dela rosa-reynera	PERSON
ejpam-3780	23	1	2	CARDINAL
ejpam-3780	23	2	zero	CARDINAL
ejpam-3780	25	1	zero	CARDINAL
ejpam-3780	26	1	zero	CARDINAL
ejpam-3780	27	1	zero	CARDINAL
ejpam-3780	28	1	zero	CARDINAL
ejpam-3780	29	1	2	CARDINAL
ejpam-3780	29	2	2.1	CARDINAL
ejpam-3780	30	1	3	CARDINAL
ejpam-3780	30	2	4	CARDINAL
ejpam-3780	31	1	1	CARDINAL
ejpam-3780	32	1	two	CARDINAL
ejpam-3780	36	1	|g|	GPE
ejpam-3780	37	1	d(v	ORG
ejpam-3780	37	2	two	CARDINAL
ejpam-3780	37	3	kn	PERSON
ejpam-3780	37	4	two	CARDINAL
ejpam-3780	37	5	2	CARDINAL
ejpam-3780	38	1	3	CARDINAL
ejpam-3780	55	1	two	CARDINAL
ejpam-3780	55	2	4	CARDINAL
ejpam-3780	56	1	g. d. chua	PERSON
ejpam-3780	56	2	f. campeña	PERSON
ejpam-3780	56	3	f. franco	PERSON
ejpam-3780	57	1	j. pure	PERSON
ejpam-3780	57	2	13	CARDINAL
ejpam-3780	57	3	3	CARDINAL
ejpam-3780	57	4	2020	DATE
ejpam-3780	57	5	674	CARDINAL
ejpam-3780	58	1	5	CARDINAL
ejpam-3780	61	1	6	CARDINAL
ejpam-3780	62	1	n ≥ 2	ORG
ejpam-3780	62	2	two	CARDINAL
ejpam-3780	62	3	two	CARDINAL
ejpam-3780	63	1	7	CARDINAL
ejpam-3780	64	1	sn	ORG
ejpam-3780	64	2	n ≥ 1	DATE
ejpam-3780	64	3	one	CARDINAL
ejpam-3780	66	1	8	DATE
ejpam-3780	67	1	n ≥ 1	DATE
ejpam-3780	67	2	two	CARDINAL
ejpam-3780	67	3	sn	ORG
ejpam-3780	68	1	9	DATE
ejpam-3780	69	1	n ≥ 1	DATE
ejpam-3780	75	1	1 ≤ i ≤ n	QUANTITY
ejpam-3780	75	2	1 ≤	QUANTITY
ejpam-3780	76	1	1	CARDINAL
ejpam-3780	77	1	10	CARDINAL
ejpam-3780	81	1	1	CARDINAL
ejpam-3780	82	1	1	CARDINAL
ejpam-3780	89	1	1	CARDINAL
ejpam-3780	89	2	11	DATE
ejpam-3780	90	1	at least three	CARDINAL
ejpam-3780	90	2	two	CARDINAL
ejpam-3780	92	1	12	CARDINAL
ejpam-3780	93	1	two	CARDINAL
ejpam-3780	94	1	d. chua	PERSON
ejpam-3780	94	2	f. campeña	PERSON
ejpam-3780	94	3	f. franco	PERSON
ejpam-3780	95	1	j. pure	PERSON
ejpam-3780	95	2	13	CARDINAL
ejpam-3780	95	3	3	CARDINAL
ejpam-3780	95	4	2020	DATE
ejpam-3780	95	5	674	CARDINAL
ejpam-3780	96	1	two	CARDINAL
ejpam-3780	97	1	13	DATE
ejpam-3780	100	1	n + 1	LOC
ejpam-3780	100	2	2.3	CARDINAL
ejpam-3780	102	1	14	DATE
ejpam-3780	110	1	{v1vn	PERSON
ejpam-3780	110	2	n ≥ 3	DATE
ejpam-3780	110	3	15	CARDINAL
ejpam-3780	111	1	bipartite	ORG
ejpam-3780	111	2	graph km	PERSON
ejpam-3780	113	1	xm	ORG
ejpam-3780	113	2	{y1	PERSON
ejpam-3780	115	1	1 ≤	QUANTITY
ejpam-3780	116	1	1 ≤	QUANTITY
ejpam-3780	117	1	16	CARDINAL
ejpam-3780	119	1	17	CARDINAL
ejpam-3780	121	1	18	CARDINAL
ejpam-3780	122	1	one	CARDINAL
ejpam-3780	123	1	2.4	CARDINAL
ejpam-3780	124	1	zero	CARDINAL
ejpam-3780	124	2	acharya et al	PERSON
ejpam-3780	125	1	1	CARDINAL
ejpam-3780	125	2	6	CARDINAL
ejpam-3780	125	3	zero	CARDINAL
ejpam-3780	126	1	k-zero	PRODUCT
ejpam-3780	126	2	zero	CARDINAL
ejpam-3780	127	1	zero	CARDINAL
ejpam-3780	127	2	zero	CARDINAL
ejpam-3780	127	3	2	CARDINAL
ejpam-3780	128	1	19	DATE
ejpam-3780	130	1	∈	ORG
ejpam-3780	130	2	zero	CARDINAL
ejpam-3780	132	1	2	CARDINAL
ejpam-3780	132	2	2	CARDINAL
ejpam-3780	132	3	∈	ORG
ejpam-3780	132	4	r. d. chua	NORP
ejpam-3780	132	5	f. campeña	PERSON
ejpam-3780	132	6	f. franco	PERSON
ejpam-3780	133	1	j. pure	PERSON
ejpam-3780	133	2	13	CARDINAL
ejpam-3780	133	3	3	CARDINAL
ejpam-3780	133	4	2020	DATE
ejpam-3780	133	5	674-696 678	QUANTITY
ejpam-3780	133	6	2	CARDINAL
ejpam-3780	133	7	0	CARDINAL
ejpam-3780	134	1	∈	ORG
ejpam-3780	135	1	ab −ab	ORG
ejpam-3780	136	1	ab −ab + ab	ORG
ejpam-3780	137	1	0	CARDINAL
ejpam-3780	137	2	1	CARDINAL
ejpam-3780	137	3	2	CARDINAL
ejpam-3780	137	4	zero	CARDINAL
ejpam-3780	138	1	zn	ORG
ejpam-3780	138	2	2	CARDINAL
ejpam-3780	138	3	zero	CARDINAL
ejpam-3780	142	1	20	CARDINAL
ejpam-3780	143	1	zero	CARDINAL
ejpam-3780	144	1	g)→ r0	PERSON
ejpam-3780	144	2	zero	CARDINAL
ejpam-3780	144	3	6=	DATE
ejpam-3780	145	1	zero	CARDINAL
ejpam-3780	145	2	zero	CARDINAL
ejpam-3780	146	1	2	CARDINAL
ejpam-3780	146	2	2	CARDINAL
ejpam-3780	146	3	zero	CARDINAL
ejpam-3780	146	4	2	CARDINAL
ejpam-3780	147	1	|c5|	GPE
ejpam-3780	147	2	2	CARDINAL
ejpam-3780	147	3	5	CARDINAL
ejpam-3780	148	1	2	CARDINAL
ejpam-3780	148	2	zero	CARDINAL
ejpam-3780	148	3	2	CARDINAL
ejpam-3780	148	4	zero	CARDINAL
ejpam-3780	149	1	∈	ORG
ejpam-3780	150	1	1	CARDINAL
ejpam-3780	150	2	zero	CARDINAL
ejpam-3780	150	3	zero	CARDINAL
ejpam-3780	151	1	21	DATE
ejpam-3780	152	1	zero	CARDINAL
ejpam-3780	152	2	∈	ORG
ejpam-3780	153	1	zero	CARDINAL
ejpam-3780	154	1	zero	CARDINAL
ejpam-3780	156	1	3	CARDINAL
ejpam-3780	156	2	3	CARDINAL
ejpam-3780	156	3	4-zero	CARDINAL
ejpam-3780	156	4	2	CARDINAL
ejpam-3780	157	1	4	CARDINAL
ejpam-3780	157	2	4	CARDINAL
ejpam-3780	157	3	zero	CARDINAL
ejpam-3780	157	4	2	CARDINAL
ejpam-3780	158	1	a2	ORG
ejpam-3780	159	1	4	CARDINAL
ejpam-3780	159	2	d. chua	PERSON
ejpam-3780	159	3	f. campeña	PERSON
ejpam-3780	159	4	f. franco	PERSON
ejpam-3780	160	1	j. pure	PERSON
ejpam-3780	160	2	13	CARDINAL
ejpam-3780	160	3	3	CARDINAL
ejpam-3780	160	4	2020	DATE
ejpam-3780	160	5	674-696 679	QUANTITY
ejpam-3780	160	6	3	CARDINAL
ejpam-3780	160	7	4-zero	CARDINAL
ejpam-3780	160	8	2	CARDINAL
ejpam-3780	160	9	a0 a3 a9	PERSON
ejpam-3780	160	10	4	CARDINAL
ejpam-3780	160	11	zero	CARDINAL
ejpam-3780	160	12	2	CARDINAL
ejpam-3780	160	13	3	CARDINAL
ejpam-3780	160	14	1	CARDINAL
ejpam-3780	161	1	zero	CARDINAL
ejpam-3780	162	1	∈	ORG
ejpam-3780	163	1	1	CARDINAL
ejpam-3780	165	1	zero	CARDINAL
ejpam-3780	165	2	0	CARDINAL
ejpam-3780	167	1	k ⊂ r0	ORG
ejpam-3780	168	1	1	CARDINAL
ejpam-3780	169	1	∈	ORG
ejpam-3780	169	2	n(v	ORG
ejpam-3780	171	1	f(v	PRODUCT
ejpam-3780	172	1	1	CARDINAL
ejpam-3780	172	2	2	DATE
ejpam-3780	172	3	3	DATE
ejpam-3780	174	1	k. theorem 2	PERSON
ejpam-3780	175	1	zero	CARDINAL
ejpam-3780	175	2	zero	CARDINAL
ejpam-3780	177	1	zero	CARDINAL
ejpam-3780	179	1	f |h(v	ORG
ejpam-3780	179	2	∈	ORG
ejpam-3780	182	1	∈	ORG
ejpam-3780	187	1	∆(h	NORP
ejpam-3780	188	1	at least one	CARDINAL
ejpam-3780	188	2	d(v	ORG
ejpam-3780	188	3	d(v	ORG
ejpam-3780	190	1	3	CARDINAL
ejpam-3780	192	1	zero	CARDINAL
ejpam-3780	194	1	1	CARDINAL
ejpam-3780	196	1	∈	ORG
ejpam-3780	197	1	1	CARDINAL
ejpam-3780	198	1	1	CARDINAL
ejpam-3780	199	1	1	CARDINAL
ejpam-3780	201	1	1	CARDINAL
ejpam-3780	201	2	1	CARDINAL
ejpam-3780	202	1	1	CARDINAL
ejpam-3780	203	1	zero	CARDINAL
ejpam-3780	204	1	4	CARDINAL
ejpam-3780	206	1	zero	CARDINAL
ejpam-3780	207	1	d. chua	PERSON
ejpam-3780	207	2	f. campeña	PERSON
ejpam-3780	207	3	f. franco	PERSON
ejpam-3780	208	1	j. pure	PERSON
ejpam-3780	208	2	13	CARDINAL
ejpam-3780	208	3	3	CARDINAL
ejpam-3780	208	4	2020	DATE
ejpam-3780	208	5	674-696	CARDINAL
ejpam-3780	211	1	wi	ORG
ejpam-3780	211	2	1 ≤	QUANTITY
ejpam-3780	212	1	wi	GPE
ejpam-3780	212	2	wj	PERSON
ejpam-3780	213	1	j = 1	PERSON
ejpam-3780	213	2	2	DATE
ejpam-3780	214	1	r. case	PERSON
ejpam-3780	214	2	1	CARDINAL
ejpam-3780	214	3	1	CARDINAL
ejpam-3780	215	1	r.	NORP
ejpam-3780	215	2	2 (zr+1	CARDINAL
ejpam-3780	215	3	f(w1	ORG
ejpam-3780	215	4	1	CARDINAL
ejpam-3780	217	1	∈	ORG
ejpam-3780	218	1	zero	CARDINAL
ejpam-3780	218	2	a0 /∈ k.	PERSON
ejpam-3780	218	3	f(w1	ORG
ejpam-3780	219	1	1	CARDINAL
ejpam-3780	219	2	+ aj =	PERSON
ejpam-3780	219	3	aj	PERSON
ejpam-3780	219	4	6=	DATE
ejpam-3780	219	5	a0	ORG
ejpam-3780	219	6	2	CARDINAL
ejpam-3780	219	7	1	CARDINAL
ejpam-3780	219	8	2	DATE
ejpam-3780	220	1	r.	NORP
ejpam-3780	224	1	3	CARDINAL
ejpam-3780	224	2	zero	CARDINAL
ejpam-3780	224	3	2	CARDINAL
ejpam-3780	224	4	2	CARDINAL
ejpam-3780	229	1	∈	ORG
ejpam-3780	230	1	zero	CARDINAL
ejpam-3780	231	1	+ 1	DATE
ejpam-3780	234	1	a(i−1)(r+1)+j = a2ir+2i−r−1+j	PERSON
ejpam-3780	234	2	4	CARDINAL
ejpam-3780	234	3	1	CARDINAL
ejpam-3780	234	4	2	DATE
ejpam-3780	236	1	f(w1	ORG
ejpam-3780	238	1	6=	DATE
ejpam-3780	238	2	5	CARDINAL
ejpam-3780	238	3	6=	CARDINAL
ejpam-3780	238	4	j = 1	WORK_OF_ART
ejpam-3780	238	5	2	DATE
ejpam-3780	239	1	r.	NORP
ejpam-3780	239	2	a−r	GPE
ejpam-3780	243	1	+ 2 ≤ m	MONEY
ejpam-3780	244	1	2r	CARDINAL
ejpam-3780	245	1	6≡ 0	DATE
ejpam-3780	247	1	6=	DATE
ejpam-3780	247	2	+ 2	DATE
ejpam-3780	247	3	+ 3	DATE
ejpam-3780	249	1	2r	CARDINAL
ejpam-3780	252	1	6	CARDINAL
ejpam-3780	253	1	+ 1	DATE
ejpam-3780	254	1	zero	CARDINAL
ejpam-3780	254	2	3	CARDINAL
ejpam-3780	254	3	n ≥ 3	DATE
ejpam-3780	255	1	6= 1	DATE
ejpam-3780	255	2	6=	CARDINAL
ejpam-3780	257	1	+ 2	DATE
ejpam-3780	257	2	znr+n	ORG
ejpam-3780	257	3	2n−i−1 2	CARDINAL
ejpam-3780	257	4	2	CARDINAL
ejpam-3780	257	5	7	CARDINAL
ejpam-3780	258	1	2	CARDINAL
ejpam-3780	261	1	8)	CARDINAL
ejpam-3780	261	2	d. chua	PERSON
ejpam-3780	261	3	f. campeña	PERSON
ejpam-3780	261	4	f. franco	PERSON
ejpam-3780	262	1	j. pure	PERSON
ejpam-3780	262	2	13	CARDINAL
ejpam-3780	262	3	3	CARDINAL
ejpam-3780	262	4	2020	DATE
ejpam-3780	262	5	674-696 681	QUANTITY
ejpam-3780	263	1	∈	ORG
ejpam-3780	264	1	zero	CARDINAL
ejpam-3780	265	1	+ 2	DATE
ejpam-3780	265	2	a0 /∈ k.	ORG
ejpam-3780	268	1	2n−i−1 2	QUANTITY
ejpam-3780	268	2	2	CARDINAL
ejpam-3780	268	3	9	CARDINAL
ejpam-3780	268	4	2	CARDINAL
ejpam-3780	268	5	2n−(i+1)−1	CARDINAL
ejpam-3780	268	6	10	CARDINAL
ejpam-3780	269	1	a(r+1)(n−1	ORG
ejpam-3780	269	2	6=	CARDINAL
ejpam-3780	269	3	−1	DATE
ejpam-3780	269	4	mod nr + n	ORG
ejpam-3780	269	5	n ≡ 1	ORG
ejpam-3780	270	1	6=	DATE
ejpam-3780	274	1	2n−i−1 2	QUANTITY
ejpam-3780	274	2	11	CARDINAL
ejpam-3780	274	3	1	CARDINAL
ejpam-3780	274	4	2	DATE
ejpam-3780	276	1	2	CARDINAL
ejpam-3780	278	1	12	CARDINAL
ejpam-3780	278	2	1	CARDINAL
ejpam-3780	278	3	2	DATE
ejpam-3780	281	1	a(r+1)(n−2)+j	GPE
ejpam-3780	281	2	j.	PERSON
ejpam-3780	281	3	2r	CARDINAL
ejpam-3780	283	1	at least 3	CARDINAL
ejpam-3780	288	1	a(r+1)(n−2)+r	GPE
ejpam-3780	288	2	13	CARDINAL
ejpam-3780	289	1	+ 2	DATE
ejpam-3780	290	1	zero	CARDINAL
ejpam-3780	290	2	4	CARDINAL
ejpam-3780	290	3	5	CARDINAL
ejpam-3780	290	4	zero	CARDINAL
ejpam-3780	290	5	four	CARDINAL
ejpam-3780	290	6	three	CARDINAL
ejpam-3780	290	7	2	CARDINAL
ejpam-3780	292	1	5	CARDINAL
ejpam-3780	292	2	1	CARDINAL
ejpam-3780	293	1	zero	CARDINAL
ejpam-3780	297	1	4	CARDINAL
ejpam-3780	297	2	zero	CARDINAL
ejpam-3780	298	1	5	CARDINAL
ejpam-3780	298	2	6	CARDINAL
ejpam-3780	298	3	zero	CARDINAL
ejpam-3780	298	4	2	CARDINAL
ejpam-3780	299	1	2	CARDINAL
ejpam-3780	299	2	d. chua	PERSON
ejpam-3780	299	3	f. campeña	PERSON
ejpam-3780	299	4	f. franco	PERSON
ejpam-3780	300	1	j. pure	PERSON
ejpam-3780	300	2	13	CARDINAL
ejpam-3780	300	3	3	CARDINAL
ejpam-3780	300	4	2020	DATE
ejpam-3780	300	5	674	CARDINAL
ejpam-3780	300	6	a12	CARDINAL
ejpam-3780	300	7	a5 a4 a6	ORG
ejpam-3780	300	8	5	CARDINAL
ejpam-3780	300	9	zero	CARDINAL
ejpam-3780	300	10	2	CARDINAL
ejpam-3780	300	11	a6 a3 a5 a4	ORG
ejpam-3780	300	12	6	CARDINAL
ejpam-3780	300	13	zero	CARDINAL
ejpam-3780	300	14	2	CARDINAL
ejpam-3780	300	15	2	CARDINAL
ejpam-3780	301	1	zero	CARDINAL
ejpam-3780	303	1	sn	ORG
ejpam-3780	304	1	one	CARDINAL
ejpam-3780	304	2	1	CARDINAL
ejpam-3780	306	1	4	CARDINAL
ejpam-3780	306	2	zero	CARDINAL
ejpam-3780	308	1	6	CARDINAL
ejpam-3780	308	2	7	CARDINAL
ejpam-3780	308	3	zero	CARDINAL
ejpam-3780	308	4	2	CARDINAL
ejpam-3780	309	1	8	CARDINAL
ejpam-3780	310	1	7	CARDINAL
ejpam-3780	310	2	zero	CARDINAL
ejpam-3780	310	3	2	CARDINAL
ejpam-3780	310	4	3	CARDINAL
ejpam-3780	311	1	zero	CARDINAL
ejpam-3780	314	1	two	CARDINAL
ejpam-3780	314	2	sn	ORG
ejpam-3780	315	1	two	CARDINAL
ejpam-3780	316	1	4	CARDINAL
ejpam-3780	316	2	zero	CARDINAL
ejpam-3780	318	1	7	CARDINAL
ejpam-3780	318	2	8	CARDINAL
ejpam-3780	318	3	zero	CARDINAL
ejpam-3780	318	4	2	CARDINAL
ejpam-3780	319	1	9	CARDINAL
ejpam-3780	319	2	d. chua	PERSON
ejpam-3780	319	3	f. campeña	PERSON
ejpam-3780	319	4	f. franco	PERSON
ejpam-3780	320	1	j. pure	PERSON
ejpam-3780	320	2	13	CARDINAL
ejpam-3780	320	3	3	CARDINAL
ejpam-3780	320	4	2020	DATE
ejpam-3780	320	5	674-696 683 a9 a1 a9 a2 a9 a3 a9 a4 a9 a8	QUANTITY
ejpam-3780	320	6	a0	ORG
ejpam-3780	320	7	a0	ORG
ejpam-3780	320	8	a0 a16 a0 a15 a0	PRODUCT
ejpam-3780	320	9	8	CARDINAL
ejpam-3780	320	10	zero	CARDINAL
ejpam-3780	320	11	2	CARDINAL
ejpam-3780	320	12	5	CARDINAL
ejpam-3780	321	1	zero	CARDINAL
ejpam-3780	324	1	1	CARDINAL
ejpam-3780	325	1	4	CARDINAL
ejpam-3780	325	2	zero	CARDINAL
ejpam-3780	327	1	8	CARDINAL
ejpam-3780	327	2	9	CARDINAL
ejpam-3780	327	3	zero	CARDINAL
ejpam-3780	327	4	6	CARDINAL
ejpam-3780	327	5	2	CARDINAL
ejpam-3780	328	1	3	CARDINAL
ejpam-3780	329	1	a10 a0 a8	ORG
ejpam-3780	329	2	a6 a3 a4 a5	PERSON
ejpam-3780	329	3	9	CARDINAL
ejpam-3780	329	4	zero	CARDINAL
ejpam-3780	329	5	6	CARDINAL
ejpam-3780	329	6	2	CARDINAL
ejpam-3780	329	7	1	CARDINAL
ejpam-3780	330	1	at least 3	CARDINAL
ejpam-3780	335	1	at least 3	CARDINAL
ejpam-3780	338	1	ri	GPE
ejpam-3780	338	2	j = 1	PERSON
ejpam-3780	338	3	2	DATE
ejpam-3780	340	1	ri	GPE
ejpam-3780	342	1	1	CARDINAL
ejpam-3780	342	2	1	CARDINAL
ejpam-3780	348	1	at least three	CARDINAL
ejpam-3780	350	1	6	CARDINAL
ejpam-3780	351	1	zero	CARDINAL
ejpam-3780	352	1	d. chua	PERSON
ejpam-3780	352	2	f. campeña	PERSON
ejpam-3780	352	3	f. franco	PERSON
ejpam-3780	353	1	j. pure	PERSON
ejpam-3780	353	2	13	CARDINAL
ejpam-3780	353	3	3	CARDINAL
ejpam-3780	353	4	2020	DATE
ejpam-3780	353	5	674-696 684	QUANTITY
ejpam-3780	354	1	at least three	CARDINAL
ejpam-3780	355	1	lemma 1	ORG
ejpam-3780	358	1	2	CARDINAL
ejpam-3780	358	2	3	DATE
ejpam-3780	360	1	1	CARDINAL
ejpam-3780	360	2	wi	GPE
ejpam-3780	360	3	ri	GPE
ejpam-3780	360	4	wj	PERSON
ejpam-3780	360	5	j = 1	PERSON
ejpam-3780	360	6	2	DATE
ejpam-3780	362	1	ri	GPE
ejpam-3780	362	2	wi	GPE
ejpam-3780	363	1	rk	ORG
ejpam-3780	363	2	2	CARDINAL
ejpam-3780	363	3	3	DATE
ejpam-3780	365	1	1	CARDINAL
ejpam-3780	367	1	+ 2	DATE
ejpam-3780	370	1	j = 1	PERSON
ejpam-3780	370	2	2	DATE
ejpam-3780	372	1	rk	ORG
ejpam-3780	372	2	4	CARDINAL
ejpam-3780	372	3	zero	CARDINAL
ejpam-3780	373	1	2	CARDINAL
ejpam-3780	379	1	∈	ORG
ejpam-3780	380	1	zero	CARDINAL
ejpam-3780	381	1	4	CARDINAL
ejpam-3780	381	2	a(rk+1)(n−2	ORG
ejpam-3780	384	1	14	CARDINAL
ejpam-3780	384	2	+ 2	DATE
ejpam-3780	385	1	9	CARDINAL
ejpam-3780	385	2	10	CARDINAL
ejpam-3780	385	3	zero	CARDINAL
ejpam-3780	386	1	6	CARDINAL
ejpam-3780	386	2	2	CARDINAL
ejpam-3780	388	1	6	CARDINAL
ejpam-3780	388	2	a0 a25 a5 a20	PERSON
ejpam-3780	388	3	a30 a0 a26	ORG
ejpam-3780	388	4	a20 a6 a20 a7 a20 a8	PERSON
ejpam-3780	388	5	a20 a9 a10 a16	PRODUCT
ejpam-3780	388	6	10	CARDINAL
ejpam-3780	388	7	zero	CARDINAL
ejpam-3780	388	8	2	CARDINAL
ejpam-3780	388	9	7	CARDINAL
ejpam-3780	389	1	zero	CARDINAL
ejpam-3780	391	1	n ≥ 3	DATE
ejpam-3780	393	1	w	ORG
ejpam-3780	395	1	w 1 n	PRODUCT
ejpam-3780	395	2	w.	PERSON
ejpam-3780	395	3	ri vertices	GPE
ejpam-3780	398	1	w ri	GPE
ejpam-3780	400	1	d. chua	PERSON
ejpam-3780	400	2	f. campeña	PERSON
ejpam-3780	400	3	f. franco	PERSON
ejpam-3780	401	1	j. pure	PERSON
ejpam-3780	401	2	13	CARDINAL
ejpam-3780	401	3	3	CARDINAL
ejpam-3780	401	4	2020	DATE
ejpam-3780	401	5	674	CARDINAL
ejpam-3780	401	6	696 685	CARDINAL
ejpam-3780	403	1	2	CARDINAL
ejpam-3780	403	2	f(wj	ORG
ejpam-3780	405	1	2rk−j+1	CARDINAL
ejpam-3780	405	2	2	CARDINAL
ejpam-3780	406	1	2)−i+1	PRODUCT
ejpam-3780	406	2	15	CARDINAL
ejpam-3780	406	3	1	CARDINAL
ejpam-3780	406	4	2	DATE
ejpam-3780	407	1	1	CARDINAL
ejpam-3780	408	1	2	CARDINAL
ejpam-3780	409	1	16	CARDINAL
ejpam-3780	410	1	∈	ORG
ejpam-3780	411	1	zero	CARDINAL
ejpam-3780	411	2	a0 /∈ k.	PERSON
ejpam-3780	413	1	2rk−1+1 2	DATE
ejpam-3780	414	1	17	CARDINAL
ejpam-3780	414	2	1	CARDINAL
ejpam-3780	414	3	2	DATE
ejpam-3780	415	1	1	CARDINAL
ejpam-3780	416	1	18	CARDINAL
ejpam-3780	416	2	a(n−1)(rk)+2	PERSON
ejpam-3780	418	1	a(n−1)(rk)+n−2	ORG
ejpam-3780	420	1	2rk−j+1	CARDINAL
ejpam-3780	420	2	2	CARDINAL
ejpam-3780	421	1	2	CARDINAL
ejpam-3780	421	2	19	CARDINAL
ejpam-3780	422	1	2rk−(j+1)+1 2	DATE
ejpam-3780	423	1	20	CARDINAL
ejpam-3780	423	2	1	CARDINAL
ejpam-3780	423	3	2	DATE
ejpam-3780	424	1	1	CARDINAL
ejpam-3780	426	1	4rk−(j+1)+2 2	DATE
ejpam-3780	427	1	21	CARDINAL
ejpam-3780	429	1	2	CARDINAL
ejpam-3780	429	2	22	CARDINAL
ejpam-3780	429	3	d. chua	PERSON
ejpam-3780	429	4	f. campeña	PERSON
ejpam-3780	429	5	f. franco	PERSON
ejpam-3780	430	1	j. pure	PERSON
ejpam-3780	430	2	13	CARDINAL
ejpam-3780	430	3	3	CARDINAL
ejpam-3780	430	4	2020	DATE
ejpam-3780	430	5	674-696 686	QUANTITY
ejpam-3780	432	1	a(n−1)(rk)+n−2	ORG
ejpam-3780	432	2	23	CARDINAL
ejpam-3780	432	3	0	CARDINAL
ejpam-3780	432	4	1	DATE
ejpam-3780	432	5	2	CARDINAL
ejpam-3780	434	1	n − 1	ORG
ejpam-3780	435	1	0	CARDINAL
ejpam-3780	439	1	a0 /∈ k.	PERSON
ejpam-3780	440	1	zero	CARDINAL
ejpam-3780	440	2	10	CARDINAL
ejpam-3780	441	1	11	CARDINAL
ejpam-3780	441	2	zero	CARDINAL
ejpam-3780	441	3	4	CARDINAL
ejpam-3780	441	4	2	CARDINAL
ejpam-3780	442	1	4	CARDINAL
ejpam-3780	442	2	a5 a0	PERSON
ejpam-3780	442	3	a1 a14 a0 a18	PRODUCT
ejpam-3780	442	4	a30 a21 a27 a24	ORG
ejpam-3780	442	5	11	CARDINAL
ejpam-3780	442	6	zero	CARDINAL
ejpam-3780	442	7	2	CARDINAL
ejpam-3780	443	1	2	CARDINAL
ejpam-3780	443	2	at least three	CARDINAL
ejpam-3780	446	1	3	CARDINAL
ejpam-3780	448	1	at least three	CARDINAL
ejpam-3780	451	1	wi	ORG
ejpam-3780	451	2	wi	ORG
ejpam-3780	451	3	1	CARDINAL
ejpam-3780	451	4	2	DATE
ejpam-3780	453	1	ri	GPE
ejpam-3780	453	2	wi	ORG
ejpam-3780	454	1	wi	ORG
ejpam-3780	454	2	wi	ORG
ejpam-3780	454	3	1	CARDINAL
ejpam-3780	454	4	2	DATE
ejpam-3780	456	1	wi	GPE
ejpam-3780	459	1	1	CARDINAL
ejpam-3780	459	2	1	CARDINAL
ejpam-3780	459	3	1	CARDINAL
ejpam-3780	461	1	•	CARDINAL
ejpam-3780	472	1	•	CARDINAL
ejpam-3780	477	1	d. chua	PERSON
ejpam-3780	477	2	f. campeña	PERSON
ejpam-3780	477	3	f. franco	PERSON
ejpam-3780	478	1	j. pure	PERSON
ejpam-3780	478	2	13	CARDINAL
ejpam-3780	478	3	3	CARDINAL
ejpam-3780	478	4	2020	DATE
ejpam-3780	478	5	674	CARDINAL
ejpam-3780	480	1	•	CARDINAL
ejpam-3780	483	1	at least three	CARDINAL
ejpam-3780	484	1	two	CARDINAL
ejpam-3780	485	1	8	CARDINAL
ejpam-3780	487	1	zero	CARDINAL
ejpam-3780	489	1	at least three	CARDINAL
ejpam-3780	490	1	lemma 2	ORG
ejpam-3780	495	1	wi	ORG
ejpam-3780	495	2	wi	ORG
ejpam-3780	495	3	1	CARDINAL
ejpam-3780	495	4	2	DATE
ejpam-3780	497	1	ri	GPE
ejpam-3780	497	2	wi	GPE
ejpam-3780	498	1	wi	GPE
ejpam-3780	498	2	wi	GPE
ejpam-3780	499	1	rk	ORG
ejpam-3780	499	2	1	CARDINAL
ejpam-3780	499	3	2	DATE
ejpam-3780	502	1	+ 2	DATE
ejpam-3780	502	2	2 (	CARDINAL
ejpam-3780	502	3	2n−i−1 2	CARDINAL
ejpam-3780	502	4	2	CARDINAL
ejpam-3780	502	5	24	CARDINAL
ejpam-3780	502	6	2	CARDINAL
ejpam-3780	505	1	25	CARDINAL
ejpam-3780	505	2	2n−i+1 2	DATE
ejpam-3780	506	1	26	CARDINAL
ejpam-3780	507	1	∈	ORG
ejpam-3780	508	1	zero	CARDINAL
ejpam-3780	508	2	+ 2	DATE
ejpam-3780	508	3	a0 /∈ k.	ORG
ejpam-3780	509	1	2n−i−1 2	QUANTITY
ejpam-3780	509	2	2	CARDINAL
ejpam-3780	509	3	27	CARDINAL
ejpam-3780	510	1	2n−i−1 2	QUANTITY
ejpam-3780	510	2	2n−(i+1)−1	CARDINAL
ejpam-3780	511	1	28	CARDINAL
ejpam-3780	512	1	only two	CARDINAL
ejpam-3780	515	1	2	CARDINAL
ejpam-3780	516	1	29	CARDINAL
ejpam-3780	516	2	d. chua	PERSON
ejpam-3780	516	3	f. campeña	PERSON
ejpam-3780	516	4	f. franco	PERSON
ejpam-3780	517	1	j. pure	PERSON
ejpam-3780	517	2	13	CARDINAL
ejpam-3780	517	3	3	CARDINAL
ejpam-3780	517	4	2020	DATE
ejpam-3780	517	5	674	CARDINAL
ejpam-3780	517	6	j = 1	WORK_OF_ART
ejpam-3780	517	7	2	DATE
ejpam-3780	519	1	ri	GPE
ejpam-3780	519	2	2	CARDINAL
ejpam-3780	520	1	30	CARDINAL
ejpam-3780	520	2	1	CARDINAL
ejpam-3780	520	3	2	DATE
ejpam-3780	521	1	ri	GPE
ejpam-3780	522	1	rk	NORP
ejpam-3780	526	1	2	CARDINAL
ejpam-3780	527	1	2n−i+1 2	DATE
ejpam-3780	527	2	31	CARDINAL
ejpam-3780	528	1	32	CARDINAL
ejpam-3780	531	1	33	CARDINAL
ejpam-3780	531	2	+ 2	DATE
ejpam-3780	532	1	2rk + 1)(n− 2	DATE
ejpam-3780	532	2	2rk + 1)(n− 2	DATE
ejpam-3780	533	1	2rk+1)(n−2)+2	CARDINAL
ejpam-3780	534	1	2rk+1)(n−2)+rk	CARDINAL
ejpam-3780	534	2	2rk+1)(n−1	CARDINAL
ejpam-3780	535	1	at least 3	CARDINAL
ejpam-3780	535	2	rk	ORG
ejpam-3780	535	3	at least zero	CARDINAL
ejpam-3780	536	1	2rk+1)(n−2)+m	CARDINAL
ejpam-3780	536	2	0	CARDINAL
ejpam-3780	536	3	1	CARDINAL
ejpam-3780	538	1	rk	ORG
ejpam-3780	538	2	2rk+1)(n−1	CARDINAL
ejpam-3780	538	3	greater than zero	CARDINAL
ejpam-3780	539	1	2rk + 1)(n−2	DATE
ejpam-3780	540	1	2rk + 1)(n−2	DATE
ejpam-3780	541	1	2rk + 1	DATE
ejpam-3780	541	2	2rk + 1)(n−1	DATE
ejpam-3780	541	3	0	CARDINAL
ejpam-3780	541	4	1	CARDINAL
ejpam-3780	542	1	rk	NORP
ejpam-3780	543	1	2rk + 1)(n− 1	DATE
ejpam-3780	543	2	2rk + 1)(n)−	DATE
ejpam-3780	543	3	2rk + 1)(n)−	DATE
ejpam-3780	544	1	2rk	ORDINAL
ejpam-3780	545	1	a0 /∈ k. example	ORG
ejpam-3780	546	1	11	CARDINAL
ejpam-3780	547	1	12	CARDINAL
ejpam-3780	547	2	zero	CARDINAL
ejpam-3780	548	1	a56	ORG
ejpam-3780	548	2	a57	ORG
ejpam-3780	548	3	a58	ORG
ejpam-3780	548	4	6	CARDINAL
ejpam-3780	549	1	9	CARDINAL
ejpam-3780	551	1	two	CARDINAL
ejpam-3780	551	2	zero	CARDINAL
ejpam-3780	553	1	two	CARDINAL
ejpam-3780	553	2	d(w	NORP
ejpam-3780	553	3	one	CARDINAL
ejpam-3780	553	4	two	CARDINAL
ejpam-3780	554	1	6	CARDINAL
ejpam-3780	554	2	zero	CARDINAL
ejpam-3780	555	1	at least three	CARDINAL
ejpam-3780	555	2	at least one	CARDINAL
ejpam-3780	555	3	two	CARDINAL
ejpam-3780	558	1	w	GPE
ejpam-3780	559	1	w	ORG
ejpam-3780	559	2	1	CARDINAL
ejpam-3780	560	1	wi	GPE
ejpam-3780	560	2	wi	ORG
ejpam-3780	560	3	1	CARDINAL
ejpam-3780	560	4	2	DATE
ejpam-3780	562	1	ri	GPE
ejpam-3780	562	2	wi	GPE
ejpam-3780	563	1	2	CARDINAL
ejpam-3780	567	1	34	CARDINAL
ejpam-3780	567	2	d. chua	PERSON
ejpam-3780	567	3	f. campeña	PERSON
ejpam-3780	567	4	f. franco	PERSON
ejpam-3780	568	1	j. pure	PERSON
ejpam-3780	568	2	13	CARDINAL
ejpam-3780	568	3	3	CARDINAL
ejpam-3780	568	4	2020	DATE
ejpam-3780	568	5	674-696 689	QUANTITY
ejpam-3780	568	6	a0 a55 a18	ORG
ejpam-3780	568	7	a11 a52	ORG
ejpam-3780	568	8	a26 a18 a38 a25	ORG
ejpam-3780	568	9	12	CARDINAL
ejpam-3780	568	10	zero	CARDINAL
ejpam-3780	568	11	2	CARDINAL
ejpam-3780	569	1	∈	ORG
ejpam-3780	570	1	zero	CARDINAL
ejpam-3780	570	2	a0 /∈	PERSON
ejpam-3780	573	1	35	CARDINAL
ejpam-3780	573	2	1	CARDINAL
ejpam-3780	573	3	2	DATE
ejpam-3780	577	1	a2n+1−3.	PERSON
ejpam-3780	578	1	two	CARDINAL
ejpam-3780	578	2	three	CARDINAL
ejpam-3780	579	1	1	CARDINAL
ejpam-3780	583	1	a2i+1−3 + a2i+j+1−2i+1	PRODUCT
ejpam-3780	584	1	36	CARDINAL
ejpam-3780	584	2	at least one	CARDINAL
ejpam-3780	584	3	2	CARDINAL
ejpam-3780	584	4	3	DATE
ejpam-3780	588	1	a2n+1−3	PERSON
ejpam-3780	590	1	2	CARDINAL
ejpam-3780	590	2	+ 1	DATE
ejpam-3780	596	1	37	CARDINAL
ejpam-3780	596	2	only one	CARDINAL
ejpam-3780	596	3	3	CARDINAL
ejpam-3780	601	1	+2i+j−n+1−4	CARDINAL
ejpam-3780	602	1	38	CARDINAL
ejpam-3780	603	1	1	CARDINAL
ejpam-3780	604	1	1	CARDINAL
ejpam-3780	605	1	3	CARDINAL
ejpam-3780	605	2	23− 3	DATE
ejpam-3780	605	3	5	CARDINAL
ejpam-3780	605	4	3 ≤	QUANTITY
ejpam-3780	605	5	3	CARDINAL
ejpam-3780	608	1	d. chua	PERSON
ejpam-3780	608	2	f. campeña	PERSON
ejpam-3780	608	3	f. franco	PERSON
ejpam-3780	609	1	j. pure	PERSON
ejpam-3780	609	2	13	CARDINAL
ejpam-3780	609	3	3	CARDINAL
ejpam-3780	609	4	2020	DATE
ejpam-3780	609	5	674-696 690	CARDINAL
ejpam-3780	610	1	a5	PERSON
ejpam-3780	611	1	a2n+1−3}	PERSON
ejpam-3780	611	2	39	CARDINAL
ejpam-3780	611	3	1	CARDINAL
ejpam-3780	611	4	5	DATE
ejpam-3780	613	1	2n+1 − 3	DATE
ejpam-3780	614	1	1	CARDINAL
ejpam-3780	615	1	a0 /∈ k. example	ORG
ejpam-3780	616	1	12	CARDINAL
ejpam-3780	617	1	13	CARDINAL
ejpam-3780	617	2	zero	CARDINAL
ejpam-3780	617	3	two	CARDINAL
ejpam-3780	618	1	a5	PERSON
ejpam-3780	618	2	4	CARDINAL
ejpam-3780	619	1	a1 a0 a5 a0	PERSON
ejpam-3780	619	2	a0 a29	ORG
ejpam-3780	619	3	a1 a28 a5 a8	PRODUCT
ejpam-3780	619	4	a5 a24 a5	ORG
ejpam-3780	619	5	a3 a29 a7 a29 a15	ORG
ejpam-3780	619	6	13	CARDINAL
ejpam-3780	619	7	zero	CARDINAL
ejpam-3780	619	8	two	CARDINAL
ejpam-3780	619	9	2	CARDINAL
ejpam-3780	619	10	10	CARDINAL
ejpam-3780	621	1	zero	CARDINAL
ejpam-3780	624	1	zero	CARDINAL
ejpam-3780	625	1	1	CARDINAL
ejpam-3780	625	2	one	CARDINAL
ejpam-3780	625	3	two	CARDINAL
ejpam-3780	628	1	a0	ORG
ejpam-3780	630	1	ap−1	ORG
ejpam-3780	632	1	a0 /∈	PERSON
ejpam-3780	635	1	at least one	CARDINAL
ejpam-3780	637	1	1	CARDINAL
ejpam-3780	637	2	g1	ORG
ejpam-3780	639	1	gm	ORG
ejpam-3780	639	2	two	CARDINAL
ejpam-3780	641	1	1 ≤ m ≤	QUANTITY
ejpam-3780	642	1	wi−1	ORG
ejpam-3780	642	2	1	CARDINAL
ejpam-3780	642	3	2	DATE
ejpam-3780	646	1	+ 2	DATE
ejpam-3780	648	1	2	CARDINAL
ejpam-3780	649	1	∈	ORG
ejpam-3780	651	1	zero	CARDINAL
ejpam-3780	651	2	1	CARDINAL
ejpam-3780	654	1	40	CARDINAL
ejpam-3780	654	2	d. chua	PERSON
ejpam-3780	654	3	f. campeña	PERSON
ejpam-3780	654	4	f. franco	PERSON
ejpam-3780	655	1	j. pure	PERSON
ejpam-3780	655	2	13	CARDINAL
ejpam-3780	655	3	3	CARDINAL
ejpam-3780	655	4	2020	DATE
ejpam-3780	655	5	674-696 691	QUANTITY
ejpam-3780	655	6	1	CARDINAL
ejpam-3780	655	7	2	DATE
ejpam-3780	656	1	m. then k	PERSON
ejpam-3780	656	2	1	CARDINAL
ejpam-3780	657	1	6=	DATE
ejpam-3780	658	1	+ 1	DATE
ejpam-3780	658	2	2	CARDINAL
ejpam-3780	658	3	+ 1	DATE
ejpam-3780	658	4	2	CARDINAL
ejpam-3780	658	5	at least one	CARDINAL
ejpam-3780	658	6	caterpillar	ORG
ejpam-3780	658	7	at least three	CARDINAL
ejpam-3780	659	1	1	CARDINAL
ejpam-3780	660	1	g1	ORG
ejpam-3780	664	1	g1	ORG
ejpam-3780	666	1	wq+2	GPE
ejpam-3780	668	1	2	CARDINAL
ejpam-3780	668	2	3	DATE
ejpam-3780	671	1	wi	GPE
ejpam-3780	671	2	ri	GPE
ejpam-3780	671	3	wi	GPE
ejpam-3780	671	4	wj	PERSON
ejpam-3780	672	1	j = 1	PERSON
ejpam-3780	672	2	2	DATE
ejpam-3780	673	1	ri	GPE
ejpam-3780	674	1	at least one	CARDINAL
ejpam-3780	674	2	at least three	CARDINAL
ejpam-3780	675	1	+ 2	DATE
ejpam-3780	676	1	1	CARDINAL
ejpam-3780	676	2	2	DATE
ejpam-3780	677	1	1	CARDINAL
ejpam-3780	677	2	+ si	PERSON
ejpam-3780	677	3	6	CARDINAL
ejpam-3780	677	4	zero	CARDINAL
ejpam-3780	678	1	2	CARDINAL
ejpam-3780	678	2	∈	ORG
ejpam-3780	683	1	∈	ORG
ejpam-3780	684	1	zero	CARDINAL
ejpam-3780	685	1	+ 2	DATE
ejpam-3780	685	2	4	CARDINAL
ejpam-3780	687	1	41	CARDINAL
ejpam-3780	688	1	+ 2	DATE
ejpam-3780	690	1	13	CARDINAL
ejpam-3780	691	1	14	CARDINAL
ejpam-3780	691	2	zero	CARDINAL
ejpam-3780	691	3	three	CARDINAL
ejpam-3780	691	4	2	CARDINAL
ejpam-3780	692	1	6	CARDINAL
ejpam-3780	693	1	11	CARDINAL
ejpam-3780	695	1	zero	CARDINAL
ejpam-3780	698	1	zero	CARDINAL
ejpam-3780	699	1	one	CARDINAL
ejpam-3780	699	2	two	CARDINAL
ejpam-3780	699	3	10	CARDINAL
ejpam-3780	699	4	zero	CARDINAL
ejpam-3780	700	1	at least one	CARDINAL
ejpam-3780	700	2	at least three	CARDINAL
ejpam-3780	701	1	2	CARDINAL
ejpam-3780	702	1	g1	ORG
ejpam-3780	706	1	g1	ORG
ejpam-3780	708	1	wq+2	GPE
ejpam-3780	710	1	2	CARDINAL
ejpam-3780	710	2	3	DATE
ejpam-3780	714	1	d. chua	PERSON
ejpam-3780	714	2	f. campeña	PERSON
ejpam-3780	714	3	f. franco	PERSON
ejpam-3780	715	1	j. pure	PERSON
ejpam-3780	715	2	13	CARDINAL
ejpam-3780	715	3	3	CARDINAL
ejpam-3780	715	4	2020	DATE
ejpam-3780	715	5	674-696	CARDINAL
ejpam-3780	715	6	a0	ORG
ejpam-3780	715	7	a60 a1 a60 a2	PERSON
ejpam-3780	715	8	a5 a56 a5 a57 a5 a58 a5 a55 a50 a10 a50 a11 a50 a12	PERSON
ejpam-3780	715	9	a20	PRODUCT
ejpam-3780	715	10	a35a20 a45 a20	PERSON
ejpam-3780	715	11	a20 a42	FAC
ejpam-3780	715	12	a20 a43	FAC
ejpam-3780	715	13	a20 a44 a40 a21 a40	PERSON
ejpam-3780	715	14	a35 a26 a35 a27 a35 a30	FAC
ejpam-3780	715	15	14	CARDINAL
ejpam-3780	715	16	zero	CARDINAL
ejpam-3780	715	17	three	CARDINAL
ejpam-3780	715	18	2	CARDINAL
ejpam-3780	715	19	wi	GPE
ejpam-3780	715	20	ri	GPE
ejpam-3780	715	21	wi	GPE
ejpam-3780	715	22	wi	GPE
ejpam-3780	715	23	1	CARDINAL
ejpam-3780	715	24	2	DATE
ejpam-3780	717	1	ri	GPE
ejpam-3780	718	1	wi	GPE
ejpam-3780	718	2	wi	GPE
ejpam-3780	720	1	at least one	CARDINAL
ejpam-3780	720	2	at least three	CARDINAL
ejpam-3780	721	1	+ 2	DATE
ejpam-3780	722	1	+ 1	CARDINAL
ejpam-3780	723	1	1	CARDINAL
ejpam-3780	723	2	2	DATE
ejpam-3780	724	1	1	CARDINAL
ejpam-3780	724	2	+ si	PERSON
ejpam-3780	724	3	8	CARDINAL
ejpam-3780	724	4	zero	CARDINAL
ejpam-3780	725	1	2 (	CARDINAL
ejpam-3780	725	2	∈	ORG
ejpam-3780	730	1	∈	ORG
ejpam-3780	731	1	zero	CARDINAL
ejpam-3780	732	1	+ 2	DATE
ejpam-3780	732	2	8	CARDINAL
ejpam-3780	734	1	42	CARDINAL
ejpam-3780	734	2	+ 2	DATE
ejpam-3780	736	1	14	CARDINAL
ejpam-3780	737	1	15	CARDINAL
ejpam-3780	737	2	zero	CARDINAL
ejpam-3780	737	3	two	CARDINAL
ejpam-3780	737	4	2	CARDINAL
ejpam-3780	738	1	a52	ORG
ejpam-3780	738	2	5	CARDINAL
ejpam-3780	739	1	12	CARDINAL
ejpam-3780	740	1	zero	CARDINAL
ejpam-3780	741	1	d. chua	PERSON
ejpam-3780	741	2	f. campeña	PERSON
ejpam-3780	741	3	f. franco	PERSON
ejpam-3780	742	1	j. pure	PERSON
ejpam-3780	742	2	13	CARDINAL
ejpam-3780	742	3	3	CARDINAL
ejpam-3780	742	4	2020	DATE
ejpam-3780	742	5	674-696 693	QUANTITY
ejpam-3780	742	6	a44 a42 a8	GPE
ejpam-3780	742	7	a21 a35 a21 a29	ORG
ejpam-3780	742	8	a21 a30 a21 a28 a0 a56 a1 a55 a2	PERSON
ejpam-3780	742	9	a44 a12 a29	ORG
ejpam-3780	742	10	15	CARDINAL
ejpam-3780	742	11	zero	CARDINAL
ejpam-3780	742	12	two	CARDINAL
ejpam-3780	742	13	2	CARDINAL
ejpam-3780	747	1	2	CARDINAL
ejpam-3780	748	1	43	CARDINAL
ejpam-3780	749	1	∈	ORG
ejpam-3780	751	1	6=	CARDINAL
ejpam-3780	751	2	44	DATE
ejpam-3780	751	3	6=	CARDINAL
ejpam-3780	751	4	45	CARDINAL
ejpam-3780	752	1	2	CARDINAL
ejpam-3780	753	1	zero	CARDINAL
ejpam-3780	754	1	15	CARDINAL
ejpam-3780	755	1	16	CARDINAL
ejpam-3780	755	2	zero	CARDINAL
ejpam-3780	755	3	2	CARDINAL
ejpam-3780	756	1	2	CARDINAL
ejpam-3780	757	1	a1 a0a3 a6 a5 a4	PERSON
ejpam-3780	757	2	16	CARDINAL
ejpam-3780	757	3	zero	CARDINAL
ejpam-3780	757	4	2	CARDINAL
ejpam-3780	757	5	d. chua	PERSON
ejpam-3780	757	6	f. campeña	PERSON
ejpam-3780	757	7	f. franco	PERSON
ejpam-3780	758	1	j. pure	PERSON
ejpam-3780	758	2	13	CARDINAL
ejpam-3780	758	3	3	CARDINAL
ejpam-3780	758	4	2020	DATE
ejpam-3780	758	5	674-696 694	QUANTITY
ejpam-3780	758	6	13	CARDINAL
ejpam-3780	759	1	zero	CARDINAL
ejpam-3780	764	1	2	CARDINAL
ejpam-3780	764	2	zero	CARDINAL
ejpam-3780	765	1	f(w1	ORG
ejpam-3780	769	1	∈	ORG
ejpam-3780	771	1	6=	DATE
ejpam-3780	771	2	f(w1	ORG
ejpam-3780	773	1	only two	CARDINAL
ejpam-3780	773	2	f(w1	ORG
ejpam-3780	774	1	f(w3	PERSON
ejpam-3780	774	2	6=	CARDINAL
ejpam-3780	776	1	f(w3	PERSON
ejpam-3780	778	1	f(w1	ORG
ejpam-3780	781	1	14	DATE
ejpam-3780	782	1	bipartite	ORG
ejpam-3780	782	2	zero	CARDINAL
ejpam-3780	784	1	bipartite	NORP
ejpam-3780	786	1	xm	ORG
ejpam-3780	786	2	{y1	PERSON
ejpam-3780	788	1	1 ≤	QUANTITY
ejpam-3780	789	1	1 ≤	QUANTITY
ejpam-3780	791	1	2	CARDINAL
ejpam-3780	793	1	∈	ORG
ejpam-3780	795	1	46	DATE
ejpam-3780	795	2	1	CARDINAL
ejpam-3780	795	3	2	DATE
ejpam-3780	796	1	j = 1	PERSON
ejpam-3780	796	2	2	DATE
ejpam-3780	798	1	n.	PERSON
ejpam-3780	800	1	at least one	CARDINAL
ejpam-3780	800	2	a0 /∈	ORG
ejpam-3780	802	1	zero	CARDINAL
ejpam-3780	803	1	16	CARDINAL
ejpam-3780	804	1	17	CARDINAL
ejpam-3780	804	2	zero	CARDINAL
ejpam-3780	804	3	k5,4	ORG
ejpam-3780	804	4	2	CARDINAL
ejpam-3780	805	1	5	CARDINAL
ejpam-3780	806	1	a1 a2 a3 a2 a5 a2	PERSON
ejpam-3780	806	2	a1 a6 a3 a6 a5 a6 a7 a8	PERSON
ejpam-3780	806	3	a1 a8 a3 a8 a5 a8	PERSON
ejpam-3780	806	4	17	CARDINAL
ejpam-3780	806	5	zero	CARDINAL
ejpam-3780	806	6	k5,4	ORG
ejpam-3780	806	7	2	CARDINAL
ejpam-3780	806	8	15	CARDINAL
ejpam-3780	807	1	zero	CARDINAL
ejpam-3780	807	2	n ≥ 3	DATE
ejpam-3780	809	1	2	CARDINAL
ejpam-3780	809	2	zero	CARDINAL
ejpam-3780	809	3	n ≥ 3	DATE
ejpam-3780	811	1	1	CARDINAL
ejpam-3780	812	1	3	CARDINAL
ejpam-3780	812	2	zero	CARDINAL
ejpam-3780	812	3	n ≥ 3	DATE
ejpam-3780	812	4	16	CARDINAL
ejpam-3780	813	1	zero	CARDINAL
ejpam-3780	813	2	n ≥ 3	DATE
ejpam-3780	813	3	d. chua	PERSON
ejpam-3780	813	4	f. campeña	PERSON
ejpam-3780	813	5	f. franco	PERSON
ejpam-3780	814	1	j. pure	PERSON
ejpam-3780	814	2	13	CARDINAL
ejpam-3780	814	3	3	CARDINAL
ejpam-3780	814	4	2020	DATE
ejpam-3780	814	5	674-696 695	QUANTITY
ejpam-3780	815	1	2	CARDINAL
ejpam-3780	815	2	zero	CARDINAL
ejpam-3780	815	3	n ≥ 3	DATE
ejpam-3780	817	1	1	CARDINAL
ejpam-3780	817	2	3	CARDINAL
ejpam-3780	817	3	zero	CARDINAL
ejpam-3780	817	4	n ≥ 3	DATE
ejpam-3780	817	5	17	CARDINAL
ejpam-3780	818	1	zero	CARDINAL
ejpam-3780	818	2	n ≥ 2	DATE
ejpam-3780	820	1	2	CARDINAL
ejpam-3780	820	2	zero	CARDINAL
ejpam-3780	820	3	n ≥ 2	DATE
ejpam-3780	820	4	1	CARDINAL
ejpam-3780	821	1	3	CARDINAL
ejpam-3780	821	2	tn	ORG
ejpam-3780	821	3	zero	CARDINAL
ejpam-3780	821	4	n ≥ 2	DATE
ejpam-3780	821	5	17	CARDINAL
ejpam-3780	822	1	18	CARDINAL
ejpam-3780	822	2	zero	CARDINAL
ejpam-3780	822	3	2	CARDINAL
ejpam-3780	823	1	19	CARDINAL
ejpam-3780	823	2	zero	CARDINAL
ejpam-3780	823	3	2	CARDINAL
ejpam-3780	824	1	20	CARDINAL
ejpam-3780	824	2	zero	CARDINAL
ejpam-3780	824	3	t4	ORG
ejpam-3780	824	4	2	CARDINAL
ejpam-3780	825	1	zero	CARDINAL
ejpam-3780	826	1	a5 a0 a1 a0 a2	PERSON
ejpam-3780	826	2	18	CARDINAL
ejpam-3780	826	3	zero	CARDINAL
ejpam-3780	826	4	2	CARDINAL
ejpam-3780	826	5	19	CARDINAL
ejpam-3780	826	6	zero	CARDINAL
ejpam-3780	826	7	2	CARDINAL
ejpam-3780	826	8	a3 a0 a1	PERSON
ejpam-3780	826	9	20	CARDINAL
ejpam-3780	826	10	zero	CARDINAL
ejpam-3780	826	11	t4	ORG
ejpam-3780	826	12	2	CARDINAL
ejpam-3780	827	1	dr.	PERSON
ejpam-3780	827	2	severino v. gervacio	PERSON
ejpam-3780	827	3	leonor a. ruivivar	PERSON
ejpam-3780	827	4	neil m. mame	PERSON
ejpam-3780	828	1	696	CARDINAL
ejpam-3780	828	2	the department of science and technology-science education institute	ORG
ejpam-3780	828	3	philippine	NORP
ejpam-3780	829	1	1	CARDINAL
ejpam-3780	829	2	mukti acharya	PERSON
ejpam-3780	829	3	purnima gupta	PERSON
ejpam-3780	830	1	zero	CARDINAL
ejpam-3780	831	1	48:65–72	DATE
ejpam-3780	831	2	july 2015	DATE
ejpam-3780	832	1	2	CARDINAL
ejpam-3780	832	2	michelle dela	PERSON
ejpam-3780	832	3	rosa-reynera	PERSON
ejpam-3780	833	1	zero	CARDINAL
ejpam-3780	834	1	phd thesis	PERSON
ejpam-3780	834	2	august 2018	DATE
ejpam-3780	835	1	3	CARDINAL
ejpam-3780	835	2	reinhard diestel	PERSON
ejpam-3780	837	1	4th	ORDINAL
ejpam-3780	837	2	2010	DATE
ejpam-3780	838	1	4	CARDINAL
ejpam-3780	838	2	joseph a. gallian	PERSON
ejpam-3780	840	1	brooks/cole	ORG
ejpam-3780	840	2	8th	ORDINAL
ejpam-3780	840	3	2013	DATE
ejpam-3780	841	1	5	CARDINAL
ejpam-3780	841	2	frank harary	PERSON
ejpam-3780	843	1	addison-wesley	PERSON
ejpam-3780	843	2	1969	DATE
ejpam-3780	844	1	6	CARDINAL
ejpam-3780	844	2	mukti acharya	PERSON
ejpam-3780	844	3	purnima gupta	PERSON
ejpam-3780	845	1	zero	CARDINAL
ejpam-3780	846	1	5:205–210, 2014	DATE