Growing a Dynamic Array

A dynamic array such as C++ std::vector stores its elements in one block of memory. When the block is full and a new element arrives, it allocates a block twice as large, copies the existing elements over, and frees the old one.

Start with an empty array of capacity initial_capacity and push pushes elements one by one. Before each push, if size == capacity, reallocate: count one reallocation, add the current size to the copied elements, and double the capacity.

Implement dynamic_array_growth(pushes, initial_capacity).

Input

pushes: How many elements are pushed.

initial_capacity: The capacity of the empty array.

Output

Return [reallocations, copied_elements, final_capacity].

เงื่อนไข

0 ≤ pushes ≤ 10^7

1 ≤ initial_capacity ≤ 10^6

ตัวอย่าง

อินพุต:
pushes = 5
initial_capacity = 1

ผลลัพธ์ที่คาดหวัง:
expected = [3, 7, 8]

อินพุต:
long long pushes = 5;
long long initial_capacity = 1;

ผลลัพธ์ที่คาดหวัง:
std::vector<long long> expected = {3, 7, 8};

อินพุต:
long pushes = 5;
long initial_capacity = 1;

ผลลัพธ์ที่คาดหวัง:
long[] expected = new long[] {3, 7, 8};

อินพุต:
pushes = 4
initial_capacity = 4

ผลลัพธ์ที่คาดหวัง:
expected = [0, 0, 4]

อินพุต:
long long pushes = 4;
long long initial_capacity = 4;

ผลลัพธ์ที่คาดหวัง:
std::vector<long long> expected = {0, 0, 4};

อินพุต:
long pushes = 4;
long initial_capacity = 4;

ผลลัพธ์ที่คาดหวัง:
long[] expected = new long[] {0, 0, 4};

แหล่งอ้างอิง

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• cppreference, std::vector