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 <= 1000
1000
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)
*/