Medium
You are given an integer n representing the size of a 0-indexed memory array. All memory units are initially free.
You have a memory allocator with the following functionalities:
size consecutive free memory units and assign it the id mID.mID.Note that:
mID.mID, even if they were allocated in different blocks.Implement the Allocator class:
Allocator(int n) Initializes an Allocator object with a memory array of size n.int allocate(int size, int mID) Find the leftmost block of size consecutive free memory units and allocate it with the id mID. Return the block’s first index. If such a block does not exist, return -1.int free(int mID) Free all memory units with the id mID. Return the number of memory units you have freed.Example 1:
Input [“Allocator”, “allocate”, “allocate”, “allocate”, “free”, “allocate”, “allocate”, “allocate”, “free”, “allocate”, “free”] [[10], [1, 1], [1, 2], [1, 3], [2], [3, 4], [1, 1], [1, 1], [1], [10, 2], [7]]
Output: [null, 0, 1, 2, 1, 3, 1, 6, 3, -1, 0]
Explanation:
Allocator loc = new Allocator(10); // Initialize a memory array of size 10. All memory units are initially free.
loc.allocate(1, 1); // The leftmost block’s first index is 0. The memory array becomes [1,_,_,_,_,_,_,_,_,_]. We return 0.
loc.allocate(1, 2); // The leftmost block’s first index is 1. The memory array becomes [1,2,_,_,_,_,_,_,_,_]. We return 1.
loc.allocate(1, 3); // The leftmost block’s first index is 2. The memory array becomes [1,2,3,_,_,_,_,_,_,_]. We return 2.
loc.free(2); // Free all memory units with mID 2. The memory array becomes [1,_, 3,_,_,_,_,_,_,_]. We return 1 since there is only 1 unit with mID 2.
loc.allocate(3, 4); // The leftmost block’s first index is 3. The memory array becomes [1,_,3,4,4,4,_,_,_,_]. We return 3.
loc.allocate(1, 1); // The leftmost block’s first index is 1. The memory array becomes [1,1,3,4,4,4,_,_,_,_]. We return 1.
loc.allocate(1, 1); // The leftmost block’s first index is 6. The memory array becomes [1,1,3,4,4,4,1,_,_,_]. We return 6.
loc.free(1); // Free all memory units with mID 1. The memory array becomes [_,_,3,4,4,4,_,_,_,_]. We return 3 since there are 3 units with mID 1.
loc.allocate(10, 2); // We can not find any free block with 10 consecutive free memory units, so we return -1.
loc.free(7); // Free all memory units with mID 7. The memory array remains the same since there is no memory unit with mID 7. We return 0.
Constraints:
1 <= n, size, mID <= 10001000 calls will be made to allocate and free.class Allocator(n: Int) {
var root: Node
init {
root = Node(0, n, -1)
}
fun allocate(size: Int, mID: Int): Int {
var cur: Node? = root
while (cur != null && (cur.size < size || cur.id != -1)) {
cur = cur.next
}
// unable to allocate
if (cur == null) {
return -1
}
return if (cur.size == size) {
cur.id = mID
cur.ind
} else {
val n = Node(cur.ind + size, cur.size - size, -1)
n.next = cur.next
cur.next = n
cur.size = size
cur.id = mID
cur.ind
}
}
fun free(mID: Int): Int {
return collapse(root, mID)
}
fun collapse(cur: Node?, id: Int): Int {
// base case
if (cur == null) {
return 0
}
// include size if matching id
var res = if (cur.id == id) cur.size else 0
// recurse on child
res += collapse(cur.next, id)
// unallocate
if (cur.id == id) {
cur.id = -1
}
// collapse unallocated adjacent nodes
while (cur.next != null && cur.next!!.id == -1 && cur.id == -1) {
cur.size += cur.next!!.size
cur.next = cur.next!!.next
}
return res
}
class Node(var ind: Int, var size: Int, var id: Int) {
var next: Node? = null
}
}
/*
* Your Allocator object will be instantiated and called as such:
* var obj = Allocator(n)
* var param_1 = obj.allocate(size,mID)
* var param_2 = obj.free(mID)
*/