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  1. Prepare
  2. Algorithms
  3. Implementation
  4. Halloween Sale
  5. Discussions

Halloween Sale

  • alban_tyrex
     + 0 comments

    Here are my approaches in c++, you can see the explanation here : https://youtu.be/VFVaLMRzhV4

    Approach 1 O(n)

    int howManyGames(int p, int d, int m, int s) {
    int result = 0;
    while( s >= p){
        s -= p;
        p = max(m, p-d);
        result++;
    }
    return result;
}

    Approach 2 O(n) with recursion

    int howManyGames(int p, int d, int m, int s){
    if( s < p) return 0;
    return howManyGames( max(m, p-d), d, m, s - p) + 1;
}

    Approach 3 O(1), incomplete solution (failure of a test case), feel free to comment to share a way to complete it.

    int howManyGames(int p, int d, int m, int s) {
    int n = 1 + (p - m) / d;
    int total = (p + p - (n - 1) * d) * n / 2;
    if(total <= s) {
        return n + (s - total) / m;
    }
    else 
        return 0;
        // this return need to be computed properly
}