Ime i prezime	grupa	Zad1	Zad2	Zad3	Zad4	Zad5	Zad6	2. kol.	1. kol.	dod.	Ukupno	Ocjena
Ivan Andrić	-	0	0	0	0	0	0	0	30	0	30
Ivan Androš	D	0	0	1	7	10	10	28	23	15*	66	2
Valentino Antolković	B	10	10	5	10	10	6	51	48	20*	119	5
Stanko Arbutina	-	0	0	0	0	0	0	0	0	0	0
Petar Babić	D	10	10	0	10	9	7	46	47	0	93
Filip Bačić	A	10	10	2	8	10	10	50	45	0	95
Mladen Badrov	B	0	7	0	10	10	10	37	42	20*	99	4
Kristina Bedeniković	B	10	10	5	10	10	10	55	51	15*	121	5
Marko Begić	A	1	7	0	10	6	10	34	41	0	75
Inga Berghaus	D	10	10	0	6	6	0	32	0	0	32
Đurđica Blažević	D	7	2	0	10	0	1	20	18	0	38
Marina Borovnjak	-	0	0	0	0	0	0	0	0	0	0
Andrea Bosak	B	10	10	5	10	9	10	54	57	15*	126	5
Marija Bošnjak	D	5	10	4	10	9	10	48	54	0	102
Dubravka Božić	B	10	10	1	10	10	10	51	49	5	105
Jana Buzolić	C	10	3	5	10	2	3	33	47	0	80
Ivana Ciganović	C	10	10	4	9	7	5	45	50	15*	110	4
Krešimir Ciprić	A	10	10	5	10	10	10	55	54	0	109
Ivana Colarić	C	10	10	0	10	10	10	50	55	15*	120	5
Josip Cvitanović	-	0	0	0	0	0	0	0	33	0	33
Irena Dabić	-	0	0	0	0	0	0	0	7	0	7
Martina Dorotek	A	10	10	0	10	5	10	45	29	0	74
Martina Doz	C	10	10	0	5	10	10	45	35	10	90
Ivana Duić	A	6	10	4	10	5	7	42	50	5	97
Mirna Erceg	C	10	10	4	10	10	10	54	48	20*	122	5
Tamara Falak	C	10	10	0	5	8	0	33	34	0	67
Ana-Marija Flegar	C	10	10	7	10	10	10	57	57	20*	134	5
Iva Gaćina	D	10	10	0	10	10	10	50	42	15*	107	4
Kristina Gašpić	-	0	0	0	0	0	0	0	0	0	0
Tomislav Glavaš	-	0	0	0	0	0	0	0	0	0	0
Stjepan Glibo	B	10	3	0	5	1	3	22	31	0	53
Tena Gostović	D	10	10	2	6	10	10	48	53	0	101
Irena Grbac	-	0	0	0	0	0	0	0	23	0	23
Marko Gredičak	B	0	8	0	10	10	10	38	34	0	72
Katarina Gudelj	-	0	0	0	0	0	0	0	0	0	0
Ante Gunjača	D	8	10	0	10	10	7	45	51	0	96
Ivana Gut	-	0	0	0	0	0	0	0	0	0	0
Adnan Hamzabegović	B	7	10	5	10	10	10	52	52	15*	119	5
Marijan Han	D	8	10	5	10	9	10	52	30	0	82
Slađana Herceg	-	0	0	0	0	0	0	0	0	0	0
Ksenija Hodak	B	10	10	5	10	10	10	55	56	15*	126	5
Saša Ivanović	-	0	0	0	0	0	0	0	0	0	0
Renata Jelić	C	10	10	0	10	8	7	45	58	20*	123	5
Marcela Jusup	D	0	1	0	8	3	6	18	23	0	41
Matej Kadvolt	-	0	0	0	0	0	0	0	0	0	0
Anđelka Kalfić	A	10	10	1	7	9	10	47	28	5	80
Nena Kekez	B	10	10	1	10	10	10	51	46	5	102
Ana Keller	D	10	10	0	7	4	1	32	29	0	61
Stevo Kentrić	C	0	6	0	8	10	1	25	25	0	50
Kristina Knežević	A	10	8	0	5	1	6	30	22	0	52
Iva Kodrnja	C	10	10	7	10	10	10	57	60	0	117
Vedran Kogej	A	10	10	0	9	10	10	49	57	15*	121	5
Valentina Koretić	B	2	10	5	10	2	5	34	0	15*	49
Maja Kovač	D	10	10	5	9	9	2	45	36	0	81
Vedran Krnjaić	-	0	0	0	0	0	0	0	0	0	0
Josipa Kunović	A	10	10	0	10	5	6	41	40	5	86
Nenad Kuren	-	0	0	0	0	0	0	0	0	0	0
Danijel Laklija	B	6	10	0	10	10	10	46	60	5	111
Tomislav Lektorić	-	0	0	0	0	0	0	0	0	0	0
Marija Lijović	-	0	0	0	0	0	0	0	0	0	0
Ivana Major Šomođi	D	1	7	0	3	7	0	18	34	5	57
Barbara Malkoč	C	7	10	0	10	10	7	44	21	5	70
Anamaria Mandac	A	10	8	0	10	8	6	42	58	15*	115	4
Marko Marić	C	1	2	5	10	10	10	38	38	10	86
Zoran Marinković	B	10	2	0	8	0	0	20	0	0	20
Marina Marjanović-Zulim	-	0	0	0	0	0	0	0	43	0	43
Goran Matijević	D	10	7	0	10	9	10	46	39	5	90
Jasmin Matijević	D	10	10	5	8	10	8	51	46	5	102
Hani Matulić	B	2	10	0	10	10	10	42	46	15*	103	4
Kristina Micak	-	0	0	0	0	0	0	0	0	0	0
Mia Mijatović	A	10	10	5	6	10	10	51	54	0	105
Martina Milaković	C	3	10	0	10	2	2	27	32	10	69
Vesna Milenković	-	0	0	0	0	0	0	0	0	0	0
Jelena Milojević	D	10	10	0	10	10	10	50	48	15*	113	4
Daniel Miočić	B	10	10	8	10	10	10	58	57	0	115
Nikolina Morić	C	10	10	2	10	10	10	52	48	0	100
Ivan Mušicki	A	10	10	0	10	3	3	36	47	15*	98	4
Josipa Nikolić	C	10	1	0	10	6	3	30	58	10	98
Mia Nižić	D	10	10	2	7	9	2	40	55	10	105
Adnana Nurikić	B	10	10	0	10	10	6	46	60	20*	126	5
Andrea Ostojić	A	10	10	0	10	10	10	50	52	20*	122	5
Mia Pamuković	B	10	5	10	10	10	10	55	58	10	123
Jelena Patarčić	A	10	10	10	10	5	10	55	47	0	102
Lana Periša	D	6	10	5	10	9	10	50	0	0	50
Mihael Petrić	A	10	10	6	10	10	10	56	52	15*	123	5
Ivona Petrović	D	6	10	1	8	10	7	42	54	15*	111	4
Tina Petrović	D	10	10	5	10	10	10	55	53	15*	123	5
Luka Podrug	C	10	10	0	10	10	10	50	0	10	60
Igor Posavec	C	10	10	0	10	10	10	50	55	0	105
Bojan Poturica	B	10	10	5	10	4	10	49	0	0	49
Ana Prskalo	C	5	8	4	7	8	3	35	47	10	92
Ana Radeljak	C	10	10	4	7	10	2	43	41	20	104	4
Iva Radoš	A	10	8	0	10	10	6	44	33	0	77
Vedran Rafaj	C	10	10	5	10	10	10	55	45	10	110
Maja Rod	A	10	6	0	8	7	10	41	35	0	76
Ivana Rogulj	A	10	10	0	9	9	10	48	43	0	91
Maja Rogulja	D	2	10	5	10	4	10	41	50	5	96
Vedran Rumenović	D	1	0	5	9	7	3	25	0	0	25
Dean Singer	B	10	10	10	10	10	10	10	39	20*	119	5
Anja Skendžić	A	3	10	0	8	7	5	33	48	0	81
Ana Soldo	-	0	0	0	0	0	0	0	0	0	0
Bernardica Solina	A	3	10	8	6	5	10	42	33	5	80
Alenka Solje	D	10	10	1	10	9	10	50	54	10	114
Denis Stažnik	A	0	3	5	10	10	10	38	47	0	85
Željka Stojanac	B	10	10	10	10	10	10	60	58	15*	133	5
Sanja Stojanović	A	10	10	0	10	9	10	49	38	20*	107	4
Maja Šarić	C	10	10	1	10	10	10	51	48	20*	119	5
Marijana Šikić	B	10	10	0	10	8	10	48	51	0	99
Nevenka Šistov	B	10	10	0	5	6	0	31	0	0	31
Kristina Šoković	D	10	10	0	10	4	5	39	35	0	74
Lana Špiljarić	D	10	1	6	9	8	10	44	48	0	92
Mate Šunjić	A	10	10	10	10	10	10	60	60	10	130
Matija Švenda	B	0	0	5	4	10	0	19	36	10	65
Višnja Tenčić	A	10	10	5	10	10	10	55	60	0	115
Ilija Tomaš	B	10	10	0	10	10	10	50	54	0	104
Vinka Trevižan	-	0	0	0	0	0	0	0	12	5	17
Tihana Trivić	A	10	10	0	10	9	8	47	39	20*	106	4
Ivana Turčić	C	10	10	3	10	10	10	53	46	20*	119	5
Kristina Ugarković	D	10	10	1	10	10	10	51	57	0	108
Martina Ursa	-	0	0	0	0	0	0	0	0	0	0
Dominik Vidušin	A	0	8	0	10	9	6	33	0	0	33
Dragutin Viher	C	0	7	4	10	10	10	41	53	0	94
Marija Visković	B	8	10	7	10	6	9	50	55	10	115
Ante Višić	-	0	0	0	0	0	0	0	0	0	0
Dolores Vlašić	A	10	10	0	10	6	10	46	56	0	102
Ana Vranešić	C	10	10	0	9	10	4	43	37	5	85
Denis Vrdoljak	C	10	10	0	9	8	6	43	38	20*	101	4
Mirta Vučković	-	0	0	0	0	0	0	0	0	0	0
Martina Vukelić	B	10	10	0	10	10	10	50	58	20*	128	5
Bernard Živković	B	0	10	5	10	4	10	39	46	10	95
Ana Žoldin	C	10	10	1	10	10	3	44	44	15*	103	4

Zadaće se mogu pogledati u ponedjeljak, 7.7.2008. u 15:15.

Rješenja zadataka:

grupa A
1. 5x² + 3xy + 7y²
2. h(-103) = 5;   x² + xy + 26y², 2x² ± xy + 13y², 4x² ± 3xy + 7y²
3. Ako su m i n relativno prosti, onda je s(mn) = ∏_p|mn p = ∏_p|m p · ∏_p|n p = s(m)s(n), pa je funkcija s multiplikativna.
    Označimo zadanu sumu sa g(n). Funkcija g je multiplikativna, pa je g(n) = ∏_p|n (μ(1)σ(1)+μ(p)σ(p)) = ∏_p|n (-p) = (-1)^ω(n) s(n).
4. 543/193 = [2,1,4,2,1,3,3];   298 = [17,3,1,4,5,1,1,5,4,1,3,34]
5. (21,220,221), (85,204,221), (104,195,221), (140,171,221), (60,221,229), (221,1428,1445), (221,1872,1885), (221,24420,24421)
6. (145,12), (42049,3480)

grupa B
1. 2x² - xy + 16y²
2. h(-107) = 3;   x² + xy + 27y², 3x² ± xy + 9y²
3. Ako su m i n relativno prosti, onda je λ(mn) = (-1)^ω(m)+ω(n) = (-1)^ω(m) (-1)^ω(n) = λ(m)λ(n), pa je funkcija λ multiplikativna.
    Označimo zadanu sumu sa g(n). Funkcija g je multiplikativna, pa je g(n) = ∏_p|n (μ(1)λ(1)+μ(p)λ(p)) = ∏_p|n (1+1) = 2^ω(n).
4. 654/173 = [3,1,3,1,1,4,4];   292 = [17,11,2,1,3,8,3,1,2,11,34]
5. (152,285,323), (36,323,325), (323,2736,2755), (323,3060,3077), (323,52164,52165)
6. (199,15), (79201,5970)

grupa C
1. 3x² + xy + 9y²
2. h(-127) = 5;   x² + xy + 32y², 2x² ± xy + 16y², 4x² ± xy + 8y²
3. Funkcija ω nije multiplikativna, jer je npr. ω(2 · 3) = 2, a ω(2) · ω(3) = 1 · 1 = 1.
    Označimo zadanu sumu sa g(n). Funkcija g je multiplikativna, pa je g(n) = ∏_p|n (μ(1)τ(1)+μ(p)τ(p)) = ∏_p|n (1-2) = (-1)^ω(n).
4. 765/179 = [4,3,1,1,1,7,2];   295 = [17,5,1,2,3,2,6,3,2,1,5,34]
5. (115,276,299), (180,299,349), (299,1932,1955), (299,3432,3445), (299,44700,44701)
6. (143,12), (40897,3432)

grupa D
1. 4x² + 3xy + 7y²
2. h(-131) = 5;   x² + xy + 33y², 3x² ± xy + 11y², 5x² ± 3xy + 7y²
3. Ako su m i n relativno prosti, onda je f(mn) = 2^ω(m)+ω(n) = 2^ω(m) 2^ω(n) = f(m)f(n), pa je funkcija f multiplikativna.
    Označimo zadanu sumu sa g(n). Funkcija g je multiplikativna, jer je |μ(d)| = μ(d) · μ(d), pa je g(n) = ∏_p|n (|μ(1)|+|μ(p)|) = ∏_p|n (1+1) = 2^ω(n).
4. 876/191 = [4,1,1,2,2,1,1,6];   286 = [16,1,10,3,3,2,3,3,10,1,32]
5. (135,352,377), (145,348,377), (152,345,377), (260,273,377), (336,377,505), (377,2436,2465), (377,5460,5473), (377,71064,71065)
6. (168,13), (56447,4368)

Andrej Dujella