In this repository you find my solutions to the problems posed as part of the "AlgoLab" course at ETH Zurich. (See http://www.cadmo.ethz.ch/education/lectures/HS16/algolab/index.html)

You can do whatever you want with my solutions except for claiming they are yours. The code is written by me, I did not come up with algorithmic ideas..

The test files (including reference outputs) are provided as part of the course. For some problems I added some extra test cases.

• Binary-search

• Rounding errors in Min_circle
  • Use: Exact_predicates_exact_constructions_kernel.h
  • Use: Exact_predicates_exact_constructions_kernel.h
  • convert to double: ceil(to_double(et))
• Bias for non-negative weights max-flow-min-cost
• LP: Different kernels for different precisions (see http://doc.cgal.org/latest/Number_types/group__nt__gmp.html)
  • Gmpz.h: Arbitrary precision integer
  • Gmpzf.h: Multiple-precision floating-point number (m*2^e), generally faster than MP_Float.h
  • Gmpq.h: Arbitrary precision rational
  • MP_Float.h: Arbitrary precision float

(... spoilers below)

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(... spoilers now)

1. week (5/6)

• Build the sum 100/100
• Dominoes 0
• Even Matrices 100/100
• Even Pairs 100/100
• False coin 100/100
• PotW: Deck of cards 100/100

2. week (2/5)

• Evolution: 100/100 -- "Skip-tree"
• PotW: Octopussy 100/100 -- EDF* (*= with dependencies)

3. week (1/5)

• PotW: Attack of the clones 100/100 -- EDF scheduling; index-tricks

4. week (1/5)

• PotW: TheeV 100/100 -- Binary search, Min-Circle

5. week (3/6)

• Lights at the Museum 100/100 -- Bruteforce/Split-and-List
• PotW(A): On her Majesty's secret service 100/100 -- Dijkstra; exp-bin-search w/ max. cardinality matching
• PotW(B): Poker Chips 100/100 -- Huge DP

6. week (1/4)

• PotW: A New Hope 100/100 -- Big DP in heap (bottom-up)

7. week (1/5)

• PotW: Knights 100/100 -- Max flow

8. week (1/5)

• PotW: Stamps 100/100 -- LP

9. week (1/5)

• PotW: Casino Royale 80/80 -- Mincost Max-flow; tricky bias

10. week (1/4)

• PotW: Sith 100/100 -- Binary search; Delaunay (->sparse graph), max-connected-component

11. week (1/4)

• Carsharing 100/100 -- Like Casino Royale (mincost-maxflow)
• PotW: Planks 60/100 -- (You can do Split-and-List)

12. week (4/6)

• Placing Knights 100/100 -- Max bipartite matching
• Radiation 100/100 -- LP with tricks
• New tiles 100/100 -- DP over lines (employing inner line monotonicity)
• PotW: The Empire Strikes Back 100/100 -- LP, Delaunay

13. week (2.5/4)

• DHL 60/100 -- DP, Greedy (TODO)
• Sweepers 100/100 -- Euler-tours; maxflow (bordercases with connected-components)
• PotW: The Phantom Menace 100/100 -- maxflow

14. week: Christmas Challenge (Cantonal Courier) 100/100 -- maxflow (still not 100% sure why it works)