Elementarna teorija brojeva

Rezultati kolokvija održanog 16.4.2010.

Ime i prezime grupa Zad1 Zad2 Zad3 Zad4 Zad5 Zad6 Ukupno
Antonela Adžija B 10 10 10 10 10 10 60
Domagoj Babić C 10 10 8 10 10 10 58
Renato Babojelić A 10 10 10 0 10 7 47
Jasna Bagović E 10 10 10 3 0 10 43
Olja Bajić D 10 10 10 0 6 0 36
Željka Barišić -              
Dajana Bartulović D 10 10 9 3 10 10 52
Petar Bašković B 10 2 10 2 6 10 40
Silvija Benc D 10 10 10 6 10 10 56
Maja Bibić D 10 5 10 0 10 0 35
Marija Bilokapić D 10 6 7 6 4 0 33
Ana Boban A 10 9 10 10 10 0 49
Kristina Brkić D 10 6 3 0 3 0 22
Vesna Bučar A 5 8 7 0 10 0 30
Davor Buklijaš -              
Ida Bulovec C 10 6 10 0 3 10 39
Armin Čehajić C 10 8 10 0 5 10 43
Katarina Čehovski C 10 10 10 0 10 0 40
Antonija Čulina D 10 6 10 0 3 0 29
Slavko Davidović C 10 10 7 0 7 0 34
Ndoc Deda -              
Branko Delač -              
Marin Divić D 10 10 10 2 9 0 41
Nikola Filipović -              
Sanja Filipović C 10 6 10 0 8 1 35
Ivana Flis A 10 10 10 2 10 6 48
Petra Floriani D 10 7 4 0 0 0 21
Petra Galinec A 10 10 9 10 10 5 54
Martina Glavaš B 10 10 10 0 4 10 44
Hrvoje Gorajščan A 10 9 9 0 0 7 35
Danijela Gregčević C 8 3 10 2 4 1 28
Boris Gudelj A 10 7 9 0 0 0 26
Matea Gusić E 10 10 9 10 7 7 53
Ivana Gut B 10 2 3 6 10 10 41
Davorin Haramina B 10 10 10 0 10 10 50
Martina Havaić D 10 10 10 10 10 10 60
Krešo Hegolj D 10 10 10 0 6 10 46
Irena Herek -              
Maja Horvat B 10 10 10 10 10 10 60
Jelena Horvatek A 10 10 10 2 10 0 42
Matija Ilić B 10 10 10 3 0 10 43
Dinka Ivanović A 10 10 9 10 7 0 46
Dunja Jagetić C 10 6 2 6 5 0 29
Manda Josipović C 10 3 10 2 6 0 31
Ana Jurjević B 10 6 10 10 10 10 56
Antonija Jurković A 10 9 4 10 10 2 45
Iva Juroš B 10 10 9 0 10 0 39
Katarina Katić A 10 2 1 0 0 0 13
Ana Kecerin B 10 10 10 0 0 0 30
Suzana Kerman C 10 10 10 0 10 10 50
Josipa Komlinović C 10 10 10 2 1 1 34
Slađana Kopačević C 10 8 10 0 10 1 39
Andreja Korotaj A 10 10 9 10 10 10 59
Petra Koruc B 10 3 8 0 3 0 24
Marina Kos B 10 5 8 5 10 10 48
Hana Kovačić C 10 10 10 2 3 0 35
Željka Kovačić C 10 10 10 10 10 10 60
Nikolina Lekić A 10 10 10 0 10 0 40
Ivan Lesar B 10 10 10 10 10 10 60
Eva Lukić A 10 10 10 10 2 0 42
Žana Ljuboja A 10 10 10 2 10 2 44
Matija Mandarić -              
Amalija Marelja C 10 9 10 0 10 1 40
Maja Marković A 10 10 10 10 8 2 50
Iva Mateljak A 8 10 10 10 10 0 48
Dora Medvidović E 10 7 10 3 1 2 33
Tamara Međimorec C 10 10 10 10 7 10 57
Sabina Mešić A 10 10 10 10 10 3 53
Tomislav Mihaljek A 10 7 1 0 0 0 18
Magdalena Mikulić D 10 10 10 10 10 10 60
Ivan Milenković F 10 10 10 0 0 10 40
Kristina Mitrović C 10 10 10 10 10 10 60
Nikolina Molnar B 10 10 10 0 6 10 46
Ivana Mrvičić C 10 1 9 10 10 0 40
Marika Mrvičić E 10 10 10 10 7 6 53
Zdravko Musulin B 10 10 10 10 10 10 60
Maša Nekić C 10 10 10 3 10 10 53
Maja Nemet B 10 10 4 0 10 3 37
Marija Nović -              
Sabina Obradović B 10 2 1 3 2 0 18
Anthea Paulić -              
Marko Pavičić A 10 10 9 0 8 7 44
Jelena Pelajić -              
Ivana Perić D 10 10 7 0 10 10 47
Jelena Perišin A 10 10 9 0 10 0 39
Željko Plahuta D 10 10 10 10 8 1 49
Siniša Pogačić B 10 10 10 10 10 10 60
Ivana Protrka C 10 10 10 10 10 10 60
Alena Protulipac B 10 10 10 0 3 0 33
Ankica Radovanović C 10 10 10 0 8 0 38
Dobrila Roksandić B 10 10 10 0 0 0 30
Marko Saratlija C 10 2 10 0 10 10 42
Matej Sošić D 10 10 10 10 9 10 59
Karolina Spivak C 10 10 10 0 10 0 40
Marko Srebačić A 10 10 10 0 10 2 42
Biljana Stipetić D 10 8 10 0 3 1 32
Nikolina Strihić A 10 10 10 0 10 4 44
Tomislav Šalvarica D 10 8 8 0 3 0 29
Mateja Šašo A 10 10 10 2 10 0 42
Tin Šesnić B 10 3 6 4 0 10 33
Tina Škrtić -              
Kristina Šoković D 10 9 1 0 3 0 23
Sonja Štabi B 10 8 10 10 7 10 55
Ivana Štefulj C 10 10 10 2 6 10 48
Darija Štimac B 10 10 10 0 0 10 40
Josip Šulj -              
Manuela Švenda C 10 10 10 10 10 10 60
Branka Tišljarić C 10 2 10 0 0 0 22
Antonio Tolić C 10 3 1 0 0 0 14
Danijel Trojanović D 10 4 10 0 0 0 24
Monika Užar B 10 10 10 0 0 0 30
Sanja Varešanin C 10 10 10 0 1 0 31
Mari Vidović B 10 10 10 10 10 2 52
Andrija Vladić D 10 4 7 0 0 0 21
Nikola Vlahović A 10 8 6 0 0 0 24
Ivanka Vojvodić D 10 10 10 0 8 0 38
Marina Volarić A 10 10 10 5 10 3 48
Martina Volarić A 10 10 10 0 8 2 40
Tereza Vranjković C 10 6 10 0 10 10 46
David Vučetić -              
Marija Vukić D 10 6 10 2 5 10 43
Tamara Zdjelar A 10 10 5 0 6 0 31
Ivana Zlatar B 10 10 10 10 10 10 60

Zadaće se mogu pogledati u petak, 23.4.2010. u 11:30.

Rješenja zadataka:

grupa A
1.   g = 17, x = 15, y = -22
2.   x ≡ 390, 833, 1276 (mod 1329)
3.   x ≡ 3438 (mod 4879)
4.   25
5.   x ≡ 109, 236 (mod 343)
6.   1250, 2500, 3750, 1248, 2498, 3748, 4998

grupa B
1.   g = 19, x = -11, y = 16
2.   x ≡ 56, 487, 918 (mod 1293)
3.   x ≡ 2139 (mod 4147)
4.   76
5.   x ≡ 129, 218 (mod 343)
6.   4500

grupa C
1.   g = 23, x = -21, y = 31
2.   x ≡ 225, 646, 1067 (mod 1263)
3.   x ≡ 3532 (mod 5719)
4.   25
5.   x ≡ 18, 324 (mod 343)
6.   126, 882

grupa D
1.   g = 39, x = 41, y = -54
2.   x ≡ 328, 747, 1166 (mod 9139)
3.   x ≡ 327 (mod 9139)
4.   76
5.   x ≡ 43, 303 (mod 343)
6.   a = 3, b = 7

grupa E
1.   g = 63, x = 5, y = 12
2.   x ≡ 68, 305, 542 (mod 711)
3.   x ≡ 1111 (mod 3451)
4.   n = 69, 92, 138
5.   24, 5, x ≡ 69 (mod 73)
6.   100, 101, 110, 113, 131, 233, 311, 323, 332

Andrej Dujella