Teorija brojeva

Rezultati kolokvija održanog 12.4.2010.

Ime i prezime grupa Zad1 Zad2 Zad3 Zad4 Zad5 Zad6 Ukupno
Nikola Adžaga B 10 10 10 10 10 10 60
Lea Alfier A 10 10 10 9 8 10 57
Ana Anušić B 10 10 10 10 10 9 59
Jelena Babić B 10 9 10 0 0 1 30
Dragana Baković A 10 10 10 0 1 0 31
Filip Barl A 10 10 10 10 10 10 60
Ivan Benić D 10 10 10 10 10 10 60
Lucija Borovec C 10 10 9 6 2 10 47
Mario Bošnjak C 10 10 9 7 5 7 48
Domagoj Božić -              
Zoran Brajković C 10 10 10 8 10 10 58
Luka Brčić A 10 10 10 5 4 8 47
Bruno Brodarić C 10 10 10 10 10 10 60
Zlatko Brozinčević -              
Krešimir Burić D 10 10 10 10 0 0 40
Željko Čačinović C 10 10 10 1 8 10 49
Sofija Čubrić B 10 10 10 0 10 0 40
Tomislav Čulig A 10 10 10 0 7 10 47
Albert Ćosić D 10 10 10 7 7 0 44
Sara Dadić B 10 10 10 10 6 10 56
Anto Dodik -              
Ervin Duraković C 10 10 10 9 10 10 59
Antonio Dusper D 3 2 8 5 1 0 19
Lucija Eršek A 10 10 10 10 10 10 60
Maja Fabijanić B 10 8 10 0 5 10 43
Ana Fuštin C 10 10 10 10 8 10 58
Andrea Galić A 10 10 10 10 7 10 57
Majda Glad B 10 10 9 3 5 0 37
Viktor Grantverger D 10 10 10 10 0 10 50
Ana Grbeš B 10 10 10 6 10 5 51
Andrea Grozdek A 10 10 1 8 6 10 45
Marko Hajba C 10 9 10 1 9 10 49
Tihana Hamata B 10 10 10 10 6 10 56
Lana Haramija A 10 10 10 6 9 10 55
Marina Horvat C 10 10 10 7 10 10 57
Tea Hrnjić A 10 10 10 7 7 10 54
Helena Jerković C 10 10 10 10 9 10 59
Marino Jovanović C 10 10 10 8 9 10 57
Vanja Jović C 10 10 10 2 0 10 42
Nina Kamčev A 10 10 10 10 9 10 59
Veronika Kamenski D 10 8 3 0 0 0 21
Nina Katić D 10 10 10 10 6 10 56
Božo Kelić C 10 2 10 0 3 10 35
Nika Kenda D 10 10 10 6 10 10 56
Katarina Kešinović A 10 10 10 4 5 10 49
Ivana Kokor A 10 10 10 7 10 9 56
Kristina Komar C 10 10 10 8 0 10 48
Marija Kovačević A 10 10 10 5 9 10 54
Sanja Kovačević B 10 10 10 10 8 10 58
Ivan Kovačić D 10 1 7 4 9 10 41
Denis Kranjčec D 10 7 7 4 0 4 32
Ivan Krijan A 10 10 10 1 10 10 51
Gojko Krivokapić C 10 10 5 2 5 2 34
Andrijana Kulišić C 10 10 10 10 8 10 58
Alan Kucel B 10 10 10 10 0 10 50
Ivana Kurolt A 10 10 10 5 0 2 37
Sanja Lovrić -              
Hrvoje Maltarić D 10 10 10 4 1 10 45
Grgo Mariani -              
Nikola Marinović -              
Božana Medić D 10 9 10 10 10 10 59
Kristina Micak D 10 10 10 0 5 10 45
Mate Mihaljević B 10 9 10 0 8 9 46
Marija Mihetec D 10 10 10 2 2 10 44
Petra Mijolović D 10 10 10 10 2 10 52
Mladena Miletić D 10 10 10 1 6 8 45
Aleksandar Milković D 10 10 10 6 10 10 56
Kristina Milović D 10 10 10 8 10 10 58
Marin Mišur C 10 10 10 10 9 10 59
Josipa Nemčić B 10 9 10 5 5 9 48
Adam Nikšić -              
Ivan Pažin A 10 10 10 2 5 9 46
Josip Perković B 10 6 10 0 0 0 26
Miroslav Petrušić C 10 10 10 10 5 10 55
Mirna Potočnjak D 10 10 10 10 0 3 43
Mate Puljiz D 10 10 10 10 10 10 60
Barbara Rajčić S 10 10 10 10 10 10 60
Monika Ratkajec B 10 5 10 4 5 5 39
Luka Rimanić C 10 10 10 10 10 10 60
Vedrana Rogić D 10 10 10 3 1 8 42
Mario Rogulj C 10 10 0 3 9 0 32
Martina Rom A 10 10 10 0 0 0 30
Margareta Rudman A 10 10 10 9 6 10 55
Matea Semren D 10 8 10 1 5 0 34
Marko Sikirić B 10 10 0 0 5 9 34
Petar Sirković C 10 10 10 10 10 10 60
Tomislav Smetko D 10 8 3 0 0 0 21
Andrija Šipek -              
Maja Škreblin A 10 10 10 10 10 10 60
Tena Špoljar A 10 3 6 0 3 0 22
Marija Šućur B 10 10 10 10 5 10 55
Marka Todorović B 10 10 10 3 6 10 49
Martina Ursa -              
Irma Valčić C 7 7 8 9 8 0 39
Ivan Varga B 10 10 10 7 8 10 55
Šime Viduka -              
Ivana Vukasović D 10 10 10 0 10 10 50
Lenka Vukšić A 10 10 10 10 10 10 60
Jakob Werner C 10 10 10 1 9 10 50
Tihana Zajc C 10 10 9 10 5 10 54
Ivana Zlodi A 10 10 10 0 5 10 45
Željka Žilnik D 10 10 10 7 7 10 54
Sanja Živić B 10 10 10 9 10 10 59
Luka Žunić D 10 10 10 10 10 10 60

Zadaće se mogu pogledati u petak, 16.4.2010. u 12:00.

Rješenja zadataka:

grupa A
1. g = 29, x = 37, y = -49.
2. x ≡ 1036 (mod 1157)
3. x ≡ 4001 (mod 6851)
4. n = 141, 188, 282
5.a) 2;   5.b) x ≡ 18, 44 (mod 52)
6. (187/523) = 1, (188/523) = -1

grupa B
1. g = 23, x = -33, y = 43.
2. x ≡ 78, 499, 920 (mod 1263)
3. x ≡ 3019 (mod 5797)
4. n = 69, 92, 138
5.a) 2;   5.b) x ≡ 17 (mod 58)
6. (187/547) = -1, (188/547) = 1

grupa C
1. g = 19, x = -28, y = 37.
2. x ≡ 61, 492, 923 (mod 1293)
3. x ≡ 2011 (mod 6061)
4. n = 177, 236, 354
5.a) 2;   5.b) x ≡ 35 (mod 60)
6. (171/563) = 1, (172/563) = -1

grupa D
1. g = 17, x = -35, y = 47.
2. x ≡ 70, 513, 956 (mod 1329)
3. x ≡ 1009 (mod 6409)
4. n = 249, 332, 498
5.a) 2;   5.b) x ≡ 25, 58 (mod 66)
6. (203/571) = -1, (204/571) = -1

Zadaće se mogu pogledati u petak, 16.4.2010. u 12 sati.

Andrej Dujella