You have a set which contains all positive integers [1, 2, 3, 4, 5, ...].
Implement the SmallestInfiniteSet class:
SmallestInfiniteSet() Initializes the SmallestInfiniteSet object to contain all positive integers.
int popSmallest() Removes and returns the smallest integer contained in the infinite set.
void addBack(int num) Adds a positive integer num back into the infinite set, if it is not already in the infinite set.
class SmallestInfiniteSet:
import heapq
def __init__(self):
self.summary = list(range(1, 1001))
heapq.heapify(self.summary)
self.deleted = set()
def popSmallest(self) -> int:
A = heapq.heappop(self.summary)
self.deleted.add(A)
return A
def addBack(self, num: int) -> None:
if num in self.deleted:
self.deleted.remove(num)
heapq.heappush(self.summary, num)
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