TieRopes

https://app.codility.com/c/run/trainingUU9KUZ-BJY/

Codility

There are N ropes numbered from 0 to N − 1, whose lengths are given in an array A, lying on the floor in a line. For each I (0 ≤ I < N), the length of rope I on the line is A[I].

We say that two ropes I and I + 1 are adjacent. Two adjacent ropes can be tied together with a knot, and the length of the tied rope is the sum of lengths of both ropes. The resulting new rope can then be tied again.

For a given integer K, the goal is to tie the ropes in such a way that the number of ropes whose length is greater than or equal to K is maximal.

For example, consider K = 4 and array A such that:

A[0] = 1 A[1] = 2 A[2] = 3 A[3] = 4 A[4] = 1 A[5] = 1 A[6] = 3

The ropes are shown in the figure below.

We can tie:

• rope 1 with rope 2 to produce a rope of length A[1] + A[2] = 5;
• rope 4 with rope 5 with rope 6 to produce a rope of length A[4] + A[5] + A[6] = 5.

After that, there will be three ropes whose lengths are greater than or equal to K = 4. It is not possible to produce four such ropes.

Write a function:

def solution(K, A)

that, given an integer K and a non-empty array A of N integers, returns the maximum number of ropes of length greater than or equal to K that can be created.

For example, given K = 4 and array A such that:

A[0] = 1 A[1] = 2 A[2] = 3 A[3] = 4 A[4] = 1 A[5] = 1 A[6] = 3

the function should return 3, as explained above.

Write an efficient algorithm for the following assumptions:

• N is an integer within the range [1..100,000];
• K is an integer within the range [1..1,000,000,000];
• each element of array A is an integer within the range [1..1,000,000,000].
  
  

확연히 어려워 보이는 문제다

Naive하게 풀어보자면..

 

1. Python

# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")

def solution(K, A):
    # Implement your solution here
    cnt = 0
    curr = 0
    for x in A:
        curr +=x
        if curr >= K:
            cnt+=1
            curr=0
    return cnt

이러한데, 사실 자신은 없다.

어라,, 통과는 했네 O(N)으로..

 

사실 자신 없던 부분은 저 Maximum number of ropes 부분이다. 내가 한 방법이 Maximum을 반환한 것이 맞았구나/

 

C랑 C++도 같은 맥락으로 코딩 이어가면 된다.