Frankfurt UAS, KMITL, VGU & SPbGUT - Combinatorics & Number Theory
Problems
| Name | Solved / Tries | Average tries | Average tries to solve | |
|---|---|---|---|---|
| A | Goldbach's Conjecture | 34/118 (29%) | 2.46 | 2.03 |
| B | Prime Spiral | 7/9 (78%) | 1.29 | 1.29 |
| C | Prime Path | 7/8 (88%) | 1.14 | 1.14 |
| D | How many 0's? | 7/18 (39%) | 1.80 | 1.86 |
| E | Divisible Subsequences | 4/8 (50%) | 1.60 | 1.75 |
| F | Number Sets | 4/8 (50%) | 1.60 | 1.75 |
| G | Rational Arithmetic | 11/46 (24%) | 3.54 | 3.45 |
| H | Gears in Action | 2/4 (50%) | 2.00 | 2.00 |
| I | Fundamental Neighbors | 7/24 (29%) | 2.67 | 2.29 |
| J | Three Powers | 9/11 (82%) | 1.22 | 1.22 |
| K | Factovisors | 6/47 (13%) | 4.70 | 3.50 |
| L | Perfect Pth Powers | 8/93 (9%) | 5.81 | 5.75 |
| M | Fractional Lotion | 9/11 (82%) | 1.22 | 1.22 |
| N | Chinese Remainder | 4/29 (14%) | 4.83 | 4.25 |
| O | Prime Reduction | 5/23 (22%) | 3.29 | 1.60 |
| P | Primal Representation | 9/52 (17%) | 4.00 | 4.11 |
| Q | Inverse Factorial | 11/35 (31%) | 2.06 | 1.73 |
| R | Cantor | 4/11 (36%) | 2.75 | 2.75 |
| S | Interesting Integers | 3/3 (100%) | 1.00 | 1.00 |
| T | How Many Digits? | 17/62 (27%) | 2.70 | 2.35 |
| U | A List Game | 14/18 (78%) | 1.29 | 1.29 |
| V | Granica | 4/10 (40%) | 2.00 | 2.25 |
| W | Name That Permutation | 2/26 (8%) | 5.20 | 2.50 |
| X | Hogwarts | 1/1 (100%) | 1.00 | 1.00 |
| Y | Power Eggs | 2/5 (40%) | 2.50 | 2.50 |
| Z | Uniform Subtrees | 1/1 (100%) | 1.00 | 1.00 |
| AA | S-Nim | 0/0 (0%) | -- | -- |
| AB | Code Permutations | 1/1 (100%) | 1.00 | 1.00 |
| AC | Rhombinoes | 1/13 (8%) | 6.50 | 1.00 |
| AD | Domino | 0/0 (0%) | -- | -- |
| AE | Kitchen Combinatorics | 2/2 (100%) | 1.00 | 1.00 |
| AF | Zapis | 1/1 (100%) | 1.00 | 1.00 |
| AG | Honeycomb Walk | 7/7 (100%) | 1.00 | 1.00 |
| AH | Cat Coat Colors | 1/1 (100%) | 1.00 | 1.00 |
| AI | Blocks on Blocks | 0/0 (0%) | -- | -- |
| AJ | Boastin' Red Socks | 1/16 (6%) | 16.00 | 16.00 |
| AK | Bachet's Game | 5/10 (50%) | 1.67 | 1.20 |
| AL | Ticket Lottery | 3/14 (21%) | 3.50 | 3.33 |