





"""simple docstring"""




from __future__ import annotations

from functools import lru_cache
from math import ceil

a		:				int  			=    100

a		:				str  			=    set(range(3, NUM_PRIMES, 2))
primes.add(2)
a		:				int

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
		if prime not in primes:
				continue
		primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))






@lru_cache(maxsize=100      )
def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					int      )				->set[int]:






	'''simple docstring'''






	if number_to_partition < 0:
		return set()
	elif number_to_partition == 0:
		return {1}

	a   :	set[int]			=       set()
	a   :	int
	a   :	int

	for prime in primes:
		if prime > number_to_partition:
			continue
		for sub in partition(number_to_partition - prime      ):
			ret.add(sub * prime      )

	return ret






def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					int = 5000      )				->int | None:






	'''simple docstring'''






	for number_to_partition in range(1					, _lowercase      ):
		if len(partition(_lowercase      )      ) > number_unique_partitions:
			return number_to_partition
	return None


if __name__ == "__main__":
		print(F'''{solution() = }''')









"""simple docstring"""




import qiskit






def    _SCREAMING_SNAKE_CASE	(			_lowercase		:					int					, _lowercase		:					int      )				->qiskit.result.counts.Counts:






	'''simple docstring'''






	a   :	Union[str, Any]			=       qiskit.Aer.get_backend("aer_simulator"      )

	# Create a Quantum Circuit acting on the q register
	a   :	Optional[Any]			=       qiskit.QuantumCircuit(_lowercase					, _lowercase      )

	# Map the quantum measurement to the classical bits
	circuit.measure([0]					, [0]      )

	# Execute the circuit on the simulator
	a   :	Optional[int]			=       qiskit.execute(_lowercase					, _lowercase					, shots=1000      )

	# Return the histogram data of the results of the experiment.
	return job.result().get_counts(_lowercase      )


if __name__ == "__main__":
		print(F'''Total count for various states are: {single_qubit_measure(1, 1)}''')


