Teorija brojeva

Rezultati kolokvija održanog 24.4.2009.

Ime i prezime grupa Zad1 Zad2 Zad3 Zad4 Zad5 Zad6 Ukupno
Ivan Andrić C 10 10 10 0 6 4 40
Ana Anđal B 10 8 10 0 5 5 38
Stanko Arbutina B 10 10 8 0 1 0 29
Violeta Atanasov B 10 7 10 7 9 8 51
Iva Barić A 10 10 10 0 3 1 34
Marko Baržić B 10 10 10 2 10 10 52
Sanela Basarić A 10 10 10 5 8 10 53
Tea Bašković D 10 6 10 4 7 10 47
Aleksandra Bedić C 10 7 10 7 2 2 38
Dario Benčić D 10 10 10 10 10 10 60
Slavko Bezeredi D 10 10 10 10 10 10 60
Ana-Marija Bilić D 10 10 10 7 6 1 44
Nina Binički A 10 10 10 3 4 4 41
Domagoj Bobinac B 10 7 10 0 5 0 32
Iva Bogojević B 10 10 9 4 6 0 39
Kornelija Branimira Bojanić B 10 10 9 10 2 8 49
Martina Bojić A 10 8 6 10 5 4 43
Marina Borovnjak A 10 10 10 5 2 0 37
Domagoj Božić A 5 7 7 0 2 4 25
Vesna Bukal B 10 10 10 9 9 0 48
Luka Bulović C 10 10 10 9 10 10 59
Iva Buratović C 10 10 10 10 10 5 55
Monika Burić C 10 10 10 3 2 5 40
Kristina Copak C 10 10 10 0 4 10 44
Nikola Čaldarević D 10 9 10 7 2 10 48
Ivana Čermak A 10 10 10 7 10 10 57
Josipa Čuka A 10 8 10 7 6 8 49
Irena Dabić B 10 4 8 4 5 0 31
Nikolina Dragić B 10 10 10 8 7 7 52
Marko Dragunić A 10 2 8 1 9 3 33
Zrinka Draškić A 10 10 10 10 9 10 59
Goran Dražić C 10 9 10 10 10 10 59
Magdalena Duvnjak B 10 10 10 5 6 0 41
Vesna Đukić A 10 10 10 1 5 6 42
Mihaela Đuračić C 10 10 10 9 6 3 48
Patrik Đurđević B 10 10 10 0 7 10 47
Marko Erceg B 10 10 10 10 10 9 59
Nikola Filipović -              
Ivana Flis D 10 10 10 0 1 0 31
Josip Franić A 10 10 10 10 10 10 60
Petra Fućkan D 10 10 10 10 10 10 60
Tomislav Glavaš C 10 10 10 4 6 10 50
Ivana Gložinić A 8 8 10 8 6 10 50
Tomislav Gložinić D 10 8 10 9 6 10 53
Angel Gonzalez de Rabago B 10 7 10 9 10 1 47
Jure Gobin B 10 10 10 7 5 9 51
Nikola Gorički C 6 10 10 0 2 5 33
Irena Grbac D 10 10 10 9 9 10 58
Katarina Gudelj C 10 10 1 8 7 5 41
Silva Haberl A 10 8 7 5 2 10 42
Valeria Horvat B 10 6 10 9 3 10 48
Vedrana Hrešć B 10 10 10 6 10 10 56
Ivo Ivanišević C 10 8 9 0 3 8 38
Želimira Ivček C 10 7 10 8 7 4 46
Ante Jelčić C 10 10 10 8 10 10 58
Ana Jerbić A 10 7 10 3 6 8 44
Lejla Jerković A 10 10 9 7 0 5 41
Andja Julardžija B 10 10 8 6 4 10 48
Jurica Juratek D 10 10 10 10 2 6 48
Rudolf Jurišić -              
Marcela Jusup B 10 10 10 9 5 2 46
Ana Karačić A 10 10 10 7 9 3 49
Iva Kasum B 10 10 10 10 10 10 60
Miha Keber B 10 10 10 7 2 7 46
Stevo Kentrić -              
Željko Kereta A 10 10 10 4 8 3 45
Vedrana Klarić C 10 8 10 6 7 10 51
Marijana Kožul A 10 7 2 1 7 0 27
Alan Kucel D 10 10 10 10 6 0 46
Petra Kukec D 10 9 10 5 1 8 43
Domagoj Kunetić C 10 9 10 0 4 2 35
Nenad Kuren D 10 10 10 0 0 8 38
Doris Kušec A 10 10 10 0 10 10 50
Tatjana Kutnjak A 10 8 2 0 5 4 29
Marta Kvesić D 10 10 7 3 6 0 36
Diana Laušić C 10 10 10 4 10 10 54
Marija Lijović C 10 10 10 9 4 4 47
Luka Liker A 10 10 10 0 9 10 49
Matea Lovrić D 10 8 10 4 1 8 41
Ivana Major Šomođi B 10 10 10 6 10 7 53
Antonija Mamut B 10 10 10 3 5 7 45
Grgo Mariani -              
Jasmina Marinković D 10 6 10 0 0 0 26
Zoran Marinković -              
Nikola Marinović -              
Marina Marjanović-Zulim D 10 5 10 10 5 8 48
Ana Matejina B 10 10 10 10 10 2 52
Ena Melvan A 10 10 10 7 10 9 56
Kristina Micak -              
Marija Mihetec -              
Mia Mikecin C 10 10 10 7 7 0 44
Vesna Milenković A 10 10 8 4 2 5 39
Ana Miličević C 10 7 10 6 9 4 46
Željko Miloš -              
Bosiljka Mimica A 5 10 5 7 9 2 38
Mare Mistrić A 10 10 9 8 10 10 57
Sanja Mlinarić C 10 2 8 6 9 4 39
Lidija Mogulić D 10 10 10 9 6 10 55
Rafael Mrđen C 10 10 10 10 10 10 60
Josipa Nemčić B 10 9 2 0 0 0 21
Andrej Novak B 10 7 10 5 8 7 47
Jasmina Novak D 10 10 10 4 1 10 45
Maja Novak B 10 10 10 10 10 10 60
Natalija Novak C 10 10 10 9 10 10 59
Marin Obrdalj B 10 4 4 0 0 0 18
Roža Obućina A 10 10 10 0 4 5 39
Nikolina Orlović A 10 7 10 6 5 9 47
Vedran Pamuković B 10 10 10 10 10 7 57
Anela Pavelić D 10 10 10 10 6 0 46
Danijel Pavlović A 10 10 10 7 10 10 57
Karlo Peček D 10 10 10 4 6 5 45
Grgur Petric Maretić B 10 10 10 3 10 10 53
Andrija Petrovečki A 8 8 10 0 6 0 32
Višnja Pisac A 10 10 10 7 10 10 57
Jelena Plazonja D 10 10 10 10 9 10 59
Ines Pozaić C 10 10 10 8 10 9 57
Lana Premoša B 10 10 10 10 10 8 58
Jelena Prša C 10 10 10 10 10 10 60
Mirela Pučić D 10 10 10 10 6 10 56
Tanja Puklek C 10 8 10 10 10 10 58
Maša Radaković A 10 8 10 7 4 5 44
Iva Radoš B 10 10 10 10 8 10 58
Bojana Radulović C 10 9 10 9 10 8 56
Monika Ratkajec -              
Jelena Rkman D 10 10 10 10 7 10 57
Tea Rudelić A 10 10 10 10 8 10 58
Tamara Rukavina B 10 10 10 8 10 10 58
Ivana Samaržija C 10 10 10 7 6 10 53
Antonia Samodol A 10 10 10 0 10 10 50
Mima Sestrić D 10 10 10 0 9 0 39
Dejan Sever A 10 7 9 9 9 10 54
Luka Skupnjak B 10 10 10 7 9 10 56
Josip Slipčević C 10 10 10 10 10 5 55
Ana Soldo C 10 10 10 9 10 10 59
Marko Stojanović D 10 7 10 1 5 3 36
Tanja Sunek A 10 6 10 5 10 0 41
Sonja Šimpraga B 10 10 10 10 10 10 60
Marina Škaričić -              
Ivana Šokčić C 10 10 9 4 1 5 39
Nina Šunjo D 10 6 10 0 1 0 27
Juraj Šutalo A 10 5 10 5 0 6 36
Ivana Tadić B 7 8 10 7 7 0 39
Bernarda Tomić A 10 10 10 10 7 10 57
Marija Tomić B 10 7 8 8 6 0 39
Nela Tomić C 10 10 10 4 6 10 50
Dragutina Topić D 10 10 9 7 2 4 42
Vinka Trevižan -              
Marija Udovičić C 8 10 10 6 10 10 54
Ana Ujčić A 10 10 10 9 10 10 59
Martina Ursa B 10 8 4 0 5 7 34
Dora Vidaković A 10 7 8 0 6 6 37
Karolina Volarić D 10 8 10 5 2 3 38
Tajana Vugrinec C 10 10 10 4 5 0 39
Maja Vuković B 10 10 9 8 2 3 42
Marina Zadro D 10 10 10 9 6 0 45
Vicka Zečević B 10 10 10 1 9 7 47
Ana Zorko C 10 6 0 0 0 0 16
Marina Zrno D 8 2 8 10 8 0 36
Jelena Baranović D 10 10 8 6 10 7 51

Zadaće se mogu pogledati u četvrtak, 30.4.2009. u 12:00.

Rješenja zadataka:

grupa A
1. g = 13, x = -47, y = 70.
2. x ≡ 268, 657, 1046 (mod 1167)
3. x ≡ 3131 (mod 5423)
4. x ≡ 377, 1063, 1220 (mod 1331)
5.a) 2;   5.b) x ≡ 14 (mod 53)
6. (102/443) = -1, (103/443) = 1

grupa B
1. g = 17, x = -71, y = 104.
2. x ≡ 85, 452, 819 (mod 1101)
3. x ≡ 2323 (mod 7163)
4. x ≡ 676, 890, 1093 (mod 1331)
5.a) 2;   5.b) x ≡ 53 (mod 59)
6. (106/439) = 1, (107/439) = -1

grupa C
1. g = 19, x = 11, y = -16.
2. x ≡ 190, 527, 864 (mod 1011)
3. x ≡ 4242 (mod 6061)
4. x ≡ 72, 1257, 1329 (mod 1331)
5.a) 2;   5.b) x ≡ 14 (mod 61)
6. (126/431) = -1, (127/431) = -1

grupa D
1. g = 23, x = -88, y = 135.
2. x ≡ 22, 369, 716 (mod 1041)
3. x ≡ 4949 (mod 6851)
4. x ≡ 630, 903, 1124 (mod 1331)
5.a) 2;   5.b) x ≡ 52 (mod 67)
6. (130/419) = -1, (131/419) = 1

Andrej Dujella