https://codility.com/programmers/lessons/11-sieve_of_eratosthenes/count_non_divisible/
Question:
You are given a non-empty zero-indexed array A consisting of N integers.
For each number A[i] such that 0 ≤ i < N, we want to count the number of elements of the array that are not the divisors of A[i]. We say that these elements are non-divisors.
For example, consider integer N = 5 and array A such that:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6
For the following elements:
class Solution { public int[] solution(int[] A); }
that, given a non-empty zero-indexed array A consisting of N integers, returns a sequence of integers representing the amount of non-divisors.
The sequence should be returned as:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6
the function should return [2, 4, 3, 2, 0], as explained above.
Assume that:
For each number A[i] such that 0 ≤ i < N, we want to count the number of elements of the array that are not the divisors of A[i]. We say that these elements are non-divisors.
For example, consider integer N = 5 and array A such that:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6
For the following elements:
Write a function:
- A[0] = 3, the non-divisors are: 2, 6,
- A[1] = 1, the non-divisors are: 3, 2, 3, 6,
- A[2] = 2, the non-divisors are: 3, 3, 6,
- A[3] = 3, the non-divisors are: 2, 6,
- A[4] = 6, there aren't any non-divisors.
class Solution { public int[] solution(int[] A); }
that, given a non-empty zero-indexed array A consisting of N integers, returns a sequence of integers representing the amount of non-divisors.
The sequence should be returned as:
For example, given:
- a structure Results (in C), or
- a vector of integers (in C++), or
- a record Results (in Pascal), or
- an array of integers (in any other programming language).
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 3 A[4] = 6
the function should return [2, 4, 3, 2, 0], as explained above.
Assume that:
Complexity:
- N is an integer within the range [1..50,000];
- each element of array A is an integer within the range [1..2 * N].
Elements of input arrays can be modified.
- expected worst-case time complexity is O(N*log(N));
- expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).
My Solution:
Notes:
1. main idea:
// using "HashMap" to count
2. map1(key, value)
// key: the elements,
//value: count of elements
3. map2(key, value)
// key: the elements,
// value: count of "number of non-divisors" of elements
No comments:
Post a Comment