TheScienceGuy's blog

Standard algorithms/problems on CodeForces for testing our solutions
By TheScienceGuy, history, 6 years ago, In English

Hi, I think it is a good idea to add standard problems (like DFS, find cycle in graph, Convex Hull...) in codeforces problemset which most of competitive programmers learn, so that we can test our solutions as we are learning the algorithm. The problems should look exactly like the original ones (for example, the problem of printing a cycle from an unweighted directed graph should look like this: "Given the vertices of an unweighted directed graph, print any of the cycles in this graph. If it has no cycles, print -1"; then we describe the limits and IO format. Formulating problems this way saves time while training). I will start writing a list of standard problems/algorithms, feel free to add:

Sorting: 1. MergeSort 2. QuickSort 3. SelectionSort 4. RadixSort 5. BucketSort 6. Binary Search

Graph Algorithms: 1. DFS 2. BFS 3. Finding Cycle 4. Checking if graph is bipartite 5. Dijkstra's algorithm 6. Floyd-Marshall's algorithm 7. Checking connectivity 8. Kruskal’s Minimum Spanning Tree Algorithm 9. Finding if there is a path between two vertices

Dynamic Programming: 1. Knapsack problem 2. Edit Distance 3. Longest increasing subsequence 4. Longest common subsequence

Computational Geometry: 1. Constructing Convex Hull 2. Checking orientation of 3 points

I will add more problems/algorithms to the list if the users like the idea. Creating and adding problems is discussed in this post: https://mirror.codeforces.com/blog/entry/52135 . I will add some problems, but it is better if the users with high rank do this.

  • Vote: I like it
  • +36
  • Vote: I do not like it

Comments Comments (12)
| Write comment?
»
6 years ago, # |
← Rev. 2   Vote: I like it +5 Vote: I do not like it

I will be glad if someone translates this post into Russian.

→ Reply
»
6 years ago, # |
  Vote: I like it 0 Vote: I do not like it

There are SPbSU training contests in gym, which contain many standard problems. Unfortunately, their statements are in Russian.

→ Reply
»
6 years ago, # |
  Vote: I like it +6 Vote: I do not like it

First of all I don't see why something like this should be added in CF since you can find almost each and every one of these standard problems in SPOJ, asked as is. Now about sorting I don't see how a problem asking you to implement merge sort can be tested accurately (meaning you will get WA if you sort using another algorithm).

→ Reply
  • »
    »
    6 years ago, # ^ |
    ← Rev. 2   Vote: I like it +22 Vote: I do not like it

    Output 1 on the second line if you used merge sort

    → Reply
  • »
    »
    6 years ago, # ^ |
      Vote: I like it 0 Vote: I do not like it

    It is very simple to test it: the output should be the values of the elements being merged. Even though there are several ways to implement merge sort, the core idea is the same so demanding to implement one of them is a reasonable choice for learning process.

    → Reply
    • »
      »
      »
      6 years ago, # ^ |
        Vote: I like it 0 Vote: I do not like it

      You have still the problem that with mergesort, if the set to partition has odd number of elements, then the implementation can decide where to place the element in the middle, and the implementation would be correct in both cases.

      But even if you figure that out, checking if something was sorted with quicksort can be a challenge.

      → Reply
»
6 years ago, # |
  Vote: I like it -11 Vote: I do not like it

What the fuck is Floyd-Marshall's algorithm?

→ Reply
»
6 years ago, # |
  Vote: I like it -7 Vote: I do not like it
  1. DSU
  2. Sieve of Eratosthenes
  3. segment tree
  4. Trie
  5. persistent segment tree
  6. persistent trie
  7. convex hull trick
→ Reply