'''python
from qiskit import QuantumCircuit
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.ry(pi/3, 0)
    qc.h(1)
    qc.ch(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.ry(pi/3, 0)
    qc.ch(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import CU1Gate, SwapGate
from math import pi

#def solve(n: int, L: int) -> QuantumCircuit:
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.x(0)
    qc.ry(pi / 2.4, 0)

    qc.ch(0, 1)
    qc.x(0)

    #qc.h(2)
    #qc.cp(pi/2, 0, 2)
    #qc.cp(pi/2, 1, 2)

    #qc.h(1)
    #qc.cp(pi/2, 0, 1)

    #qc.h(0)

    #qc.append(SwapGate(), [0, 2])

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import CU1Gate, SwapGate
from math import pi

#def solve(n: int, L: int) -> QuantumCircuit:
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.x(0)
    qc.ry(pi / 2.5555, 0)

    qc.ch(0, 1)
    qc.x(0)

    #qc.h(2)
    #qc.cp(pi/2, 0, 2)
    #qc.cp(pi/2, 1, 2)

    #qc.h(1)
    #qc.cp(pi/2, 0, 1)

    #qc.h(0)

    #qc.append(SwapGate(), [0, 2])

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import CU1Gate, SwapGate
from math import pi

#def solve(n: int, L: int) -> QuantumCircuit:
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.x(0)
    qc.ry(pi / 2.555, 0)

    qc.ch(0, 1)
    qc.x(0)

    #qc.h(2)
    #qc.cp(pi/2, 0, 2)
    #qc.cp(pi/2, 1, 2)

    #qc.h(1)
    #qc.cp(pi/2, 0, 1)

    #qc.h(0)

    #qc.append(SwapGate(), [0, 2])

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(np.pi * 60 / 180, 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.pi * 60 / 180, 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.asin(1 / 3 ** 0.5), 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.acos(1 / 3 ** 0.5), 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.acos(2 / 3 ** 0.5) / 2, 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.acos((2 / 3) ** 0.5) / 2, 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.asin(1 / (3 ** 0.5)) * 2, 0)
    qc.h(1)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.asin(2/3), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.asin(math.sqrt(2/3)), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * acos(1 / sqrt(3))

    qc.ry(theta, 0)
    qc.h(0, 1)
    qc.cx(1, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * acos(1 / sqrt(3))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    angle=np.arcsin(1/np.sqrt(3))
    qc.ry(2*angle, 1)
    qc.ch(1,0)
    qc.cx(0,1)

    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    angle=np.arcsin(1/np.sqrt(3))
    qc.ry(2*angle, 0)
    qc.ch(1,0)
    qc.cx(0,1)

    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    angle=np.arcsin(1/np.sqrt(3))
    qc.ry(angle, 1)
    qc.ch(1,0)
    qc.cx(0,1)

    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    angle=np.arccos(1/np.sqrt(3))
    qc.ry(2*angle, 1)
    qc.ch(1,0)
    qc.cx(0,1)

    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    # qubit0 を sqrt(2/3)|0> + sqrt(1/3)|1> にするための角度 theta
    theta = 2 * np.arcsin(np.sqrt(1/3))
    qc.ry(theta, 0)

    # qubit0 が |0> のときに qubit1 に Hadamard を適用する
    # → まず qubit0 に X を適用して反転させ、CH を適用してから再度 X を適用
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    # qubit0 を sqrt(2/3)|0> + sqrt(1/3)|1> にするための角度 theta
    theta = 2 * np.arcsin(np.sqrt(1/3))
    qc.ry(theta, 0)

    # qubit0 が |0> のときに qubit1 に Hadamard を適用する
    # → まず qubit0 に X を適用して反転させ、CH を適用してから再度 X を適用
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.rx(math.asin(1/math.sqrt(3)) * math.pi)
    qc.ch(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.rx(math.asin(1/math.sqrt(3)) * math.pi, 0)
    qc.ch(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.rx(math.asin(1/math.sqrt(3)) * math.pi, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos(1/math.sqrt(3))
    qc.ry(theta, 0)

    gamma = math.pi
    qc.cry(gamma/2, 0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos(1/math.sqrt(3))
    qc.ry(theta, 0)

    gamma = math.pi/2
    qc.cry(gamma/2, 0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos(1/math.sqrt(3))
    qc.ry(theta, 0)

    gamma = math.pi
    qc.cry(gamma/2, 0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import asin

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = asin((2/3)**(1/2))
    qc.ry(2*theta,1)
    qc.ch(1,0)
    qc.cx(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h([0,1])
    qc.cx(1,0)
    qc.cx(0,)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h([0,1])
    qc.cx(1,0)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h([0,1])
    qc.x(1)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h([0,1])
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h(1)
    qc.cx(1,0)
    qc.h(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.arctan(math.sqrt(2))
    qc.ry(theta * 2)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.arctan(math.sqrt(2))
    qc.ry(theta * 2, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.atan(math.sqrt(2))
    qc.ry(theta * 2, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.atan(math.sqrt(2))
    qc.ry(theta * 2, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.h(1)
    qc.x(1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = 2 * np.arccos(1/np.sqrt(3))
    qc.ry(angle, 0)
     qc.cx(0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(1)
    theta = 2 * np.arccos(np.sqrt(2/3))
    qc.cry(theta, 1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos((1/3) ** 1/2)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.atan(1/2 ** 1/2)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.atan(2 ** 0.5)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.atan(2 ** 0.5)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u(math.pi*253/416, math.pi, math.pi,1)
    qc.ch(1,0)
    qc.z(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u(math.pi*253/416, math.pi, math.pi,0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(0)
    qc.u(math.pi*253/416,math.pi, math.pi,0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(acos(1/sqrt(3)),1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(acos(1/sqrt(3)),1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(acos(1/sqrt(3)),1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1/math.sqrt(3)),1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(1/math.sqrt(3)),1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u(1.91, 0, math.pi, qubit=0)
    qc.cx(1, 0)
    qc.csx(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u(1.91062, 0, math.pi, qubit=0)
    qc.cx(1, 0)
    qc.csx(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.u(1.91062, 0, math.pi, qubit=0)
    qc.cx(1, 0)
    qc.csx(0, 1)
    qc.cx(1, 0)
    qc.p(3 * math.pi / 4, 0)
    qc.p(math.pi / 4, 1)
    qc.z(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * arctan(np.sqrt(2))
    qc.ry(theta, 0)
    qc.ch(1, 0)
    qc.cx(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * np.arctan(np.sqrt(2))
    qc.ry(theta, 0)
    qc.ch(1, 0)
    qc.cx(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 4 * np.arctan((np.sqrt(3)-1) /np.sqrt(2))
    qc.ry(theta, 01
    qc.ch(1, 0)
    qc.cx(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 4 * np.arctan((np.sqrt(3)-1) /np.sqrt(2))
    qc.ry(theta, 1)
    qc.ch(1, 0)
    qc.cx(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = 4 * math.atan(math.sqrt(6)/(3 + math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.ry(108.2712, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.ry(1.91, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.ry(1.9106332345998, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = 4 * math.atan(0.5 * (math.sqrt(6)-math.sqrt(2)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry((2/3)**0.5, 0); qc.ch(0, 1); qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1.9106332362490184, 0); qc.ch(0, 1); qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta1 = 2 * np.arccos(1/np.sqrt(3))
    theta2 = (np.pi/4)

    qc.ry(theta=theta1, qubit=0)
    qc.ry(theta=theta2, qubit=1)
    qc.cx(control_qubit=0, target_qubit=1)
    qc.ry(theta=-theta2, qubit=1)
    qc.x(qubit=0)e:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta1 = 2 * np.arccos(1/np.sqrt(3))
    theta2 = (np.pi/4)

    qc.ry(theta=theta1, qubit=0)
    qc.ry(theta=theta2, qubit=1)
    qc.cx(control_qubit=0, target_qubit=1)
    qc.ry(theta=-theta2, qubit=1)
    qc.x(qubit=0)e

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta1 = 2 * np.arccos(1/np.sqrt(3))
    theta2 = (np.pi/4)

    qc.ry(theta=theta1, qubit=0)
    qc.ry(theta=theta2, qubit=1)
    qc.cx(control_qubit=0, target_qubit=1)
    qc.ry(theta=-theta2, qubit=1)
    qc.x(qubit=0)#

    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.atan(2) * 2, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.pi * 0.6081735, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.acos(1 / math.sqrt(3)) * 2, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.acos(1 / math.sqrt(3)) * 2.000000002, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1 / math.sqrt(3)) * 2, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)

    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1 / math.sqrt(3)) * 2, 0)
    qc.cx(0, 1)
    qc.h(0)
    qc.t(0)
    qc.tdg(1)
    qc.h(0)
    qc.h(1)
    qc.cx(0, 1)
    qc.h(0)
    qc.h(1)
    qc.tdg(0)
    qc.h(0)
    qc.cx(0, 1)
    qc.sdg(0)
    qc.s(1)
    qc.crz(math.pi / 2, 0, 1)
    qc.crz(-math.pi / 2, 1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t = 2 * math.asin(1/math.sqrt(3))
    qc.ry(t, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(math.acos(1/math.sqrt(3))*2, 0)
    # crx 90
    qc.ch(0, 1)
    qc.x(0)
    # qc.swap(0, 1)
    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(math.acos(1/math.sqrt(3))*2, 0)
    # crx 90
    qc.ch(0, 1)
    qc.x(0)
    # qc.swap(0, 1)
    # Write your code here:

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1, math.pi/math.sqrt(3))
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.pi/math.sqrt(3),1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.pi/math.sqrt(3),1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(2 / math.sqrt(3) - 0.5)
    qc.ry(theta,1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(2 / math.sqrt(3) - 1)
    qc.ry(theta,1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(2 / math.sqrt(6) - 1)
    qc.ry(theta,1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(4 / math.sqrt(6) - 1)
    qc.ry(theta,1)
    qc.ch(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(2 / math.sqrt(3) - 1)
    qc.ry(theta,1)
    qc.ch(1,0, ctrl_state=0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(math.sqrt(2) / math.sqrt(3) - 1)
    qc.ry(theta,1)
    qc.ch(1,0, ctrl_state=0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here
    theta = math.acos(1/3)
    qc.ry(theta,1)
    qc.ch(1,0, ctrl_state=0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import ry
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    phi = acos(sqrt(1/3))
    qc.ry(2*phi, 0)
    qc.ch(0,1)

    return qc

from qiskit import Aer, transpile, assemble

def execute_circuit(qc):
    simulator = Aer.get_backend('statevector_simulator')
    transpiled_qc = transpile(qc, simulator)
    qobj = assemble(transpiled_qc)
    result = simulator.run(qobj).result()
    statevector = result.get_statevector()
    return statevector

# 与えられた関数を使用して量子回路を作成
qc = solve()

# 量子回路をstatevectorで実行して結果を取得
result_statevector = execute_circuit(qc)

# 結果の表示
print("Statevector after execution:", result_statevector)
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import ry
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    phi = acos(sqrt(1/3))
    qc.ry(2*phi, 0)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import ry
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    phi = acos(sqrt(2/3))
    qc.ry(2*phi, 0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * acos((1 / 3) ** 0.5)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    p0 = math.sqrt(1/3)
    theta=math.acos(p0*2-1)
    qc.ry(theta,0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    p0 = 1/3
    theta=math.acos(p0*2-1)
    qc.ry(theta,0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta_0 = math.acos(1 / math.sqrt(3))
    theta_1 = math.pi / 2

    qc.ry(theta_0, 0)
    qc.x(0)
    qc.cry(theta_1, 0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta_0 = math.asin(1 / math.sqrt(3)) * 2
    theta_1 = math.pi / 2

    qc.ry(theta_0, 0)
    qc.x(0)
    qc.cry(theta_1, 0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.x(1)
    qc.ch(0,1)
    qc.x(0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.rx(math.pi/3)
    qc.ch(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(math.sqrt(2/3)),0)
    # The circuit is now prepared with the desired state |psi⟩
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(math.sqrt(2/3)),0)
    # The circuit is now prepared with the desired state |psi⟩
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(acos(sqrt(2 / 3)) * 2, 1)
    qc.x(1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import U3Gate
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # 1/sqrt(3) に対応する角度を計算
    theta = 2 * math.acos(1 / math.sqrt(3))

    # アダマールゲートを最初の量子ビットに適用して重ね合わせを作成
    qc.h(0)

    # 特定の角度で2番目の量子ビットを回転させる
    qc.u3(theta, 0, 0, 1)

    # 制御NOTゲートを適用してエンタングルメントを作成
    qc.cx(0, 1)

    # 2番目の量子ビットに再度アダマールゲートを適用
    qc.h(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import atan, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * atan(sqrt(6) / (3 + sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.cx(0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.rx(pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.rx(-pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.rx(pi/3, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.rz(pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.ry(pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.ry(-pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.x(1)
    qc.h(1)
    qc.rz(-pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u1(pi/3, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(1)
    qc.u1(pi/12, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(pi/3, pi/6, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(pi/2, pi/2, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(pi/, pi/2, qc[1])
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(pi/2, pi/2, qc[1])
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(math.pi/2, math.pi/2, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(1, 0, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(2*pi/3, pi/3, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.u2(2*pi/3, pi/, 1)
    qc.ch(1, 0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.p(math.pi/3,0)
    qc.ch(1,0)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(math.pi*2/3,0)
    qc.ch(1,0)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(math.pi*2/3,1)
    qc.ch(1,0)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.ry(math.acos(1/math.sqrt(3))*2,1)
    qc.ch(1,0)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    def u3(qc, theta, phi, lam, q):
        qc.rz(lam, q)
        qc.rx(math.pi/2, q)
        qc.rz(theta, q)
        qc.rx(-math.pi/2, q)
        qc.rz(phi, q)
    u3(qc, 2*math.acos(1/math.sqrt(3)), 0, 0, 0)
    u3(qc,0, 0, -math.pi/2, 1)
    qc.cx(0,1)
    u3(qc,math.pi/4, 0, -math.pi/2, 1)

    qc.cx(0,1)
    u3(qc,math.pi, 0, -math.pi/2, 0)
    u3(qc,math.pi/4, 0, math.pi, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    def u3(qc, theta, phi, lam, q):
        qc.rz(lam, q)
        qc.rx(math.pi/2, q)
        qc.rz(theta, q)
        qc.rx(-math.pi/2, q)
        qc.rz(phi, q)
    u3(qc, 2*math.acos(1/math.sqrt(3)), 0, 0, 0)
    u3(qc,0, 0, -math.pi/2, 1)
    qc.cx(0,1)
    u3(qc,math.pi/4, 0, -math.pi/2, 1)

    qc.cx(0,1)
    u3(qc,math.pi, 0, -math.pi/2, 0)
    u3(qc,math.pi/4, 0, math.pi, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.quantum_info import Statevector
import math

def solve() -> QuantumCircuit:
    # Create a new quantum circuit with 2 qubits
    qc = QuantumCircuit(2)

    # We need to create a state which is a superposition of |00>, |01>, and |10>
    # The amplitude for each state should be 1/sqrt(3)

    # Apply a Hadamard gate to the first qubit
    qc.h(0)

    # Apply a rotation to the second qubit, the angle for Y-rotation is acos(1/sqrt(3))
    theta = 2 * math.acos(1 / math.sqrt(3))
    qc.ry(theta, 1)

    # Apply controlled-X gate to flip the second qubit if the first qubit is |1>
    qc.cx(0, 1)

    # And then, we clean up unnecessary state |11> by using controlled-Z gate
    qc.cz(0, 1)

    # Make sure that the amplitudes are correct
    state = Statevector.from_instruction(qc)
    assert math.isclose(abs(state[0b00]), 1/math.sqrt(3), abs_tol=1e-10)
    assert math.isclose(abs(state[0b01]), 1/math.sqrt(3), abs_tol=1e-10)
    assert math.isclose(abs(state[0b10]), 1/math.sqrt(3), abs_tol=1e-10)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    # 2量子ビットの量子回路を初期化
    qc = QuantumCircuit(2)

    # 状態|00>+|10>+|01>を生成するには、まず第一ビットに重ね合わせを作る
    qc.h(0) # Hadamard gate on the first qubit

    # 次に、第二ビットに特定の角度でローテーションを適用する
    # 第一ビットが|1>のときのみ、第二ビットにローテーションを適用するため、制御ゲートを使う
    theta = 2 * math.acos(1 / math.sqrt(3)) # この角度は、状態|0>と|1>の振幅比が1:√2になるように計算される
    qc.ry(theta, 1) # Rotate-y gate with calculated theta on the second qubit

    # CRyゲートを使って制御したYローテーションを第二ビットに適用
    qc.cry(-theta / 2, 0, 1) # Controlled-Ry gate with -theta/2 on the control qubit 0 and target qubit 1

    # 最後に、第一ビットに再びHadamardゲートを適用する
    qc.h(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def create_uniform_superposition(qc, qubit, num_states):
    """Create a uniform superposition of num_states on qubit in qc."""
    angle = 2 * math.asin(math.sqrt(1 / num_states))
    qc.ry(angle, qubit)

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Apply a rotation to the first qubit to get it in the state (|0⟩ + √2|1⟩) / √3
    create_uniform_superposition(qc, 0, 3)

    # Add a CNOT gate to entangle with the second qubit
    qc.cx(0, 1)

    # Now perform a corrective rotation on the second qubit if needed
    qc.ry(-math.pi/4, 1)
    qc.cx(0, 1)
    qc.ry(math.pi/4, 1)

    return qc

# Uncomment below to test the solve() function
# circuit = solve()
# print(circuit)
'''


'''python
from math import sqrt, acos

from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = 2 * acos(sqrt(1/3))
    theta2 = 2 * acos(sqrt(1/2))

    qc.ry(theta, 0)
    qc.cry(theta2, 0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1/math.sqrt(3)),0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.asin(1/math.sqrt(3)),0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.asin(1/math.sqrt(3)),0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(4 * math.atan(math.sqrt(2) / (math.sqrt(3) + 1)), 0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1.2310,0)
    qc.ry(0.785398,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-0.785398,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos((2/3)**(1/2))
    qc.ry(theta,0)
    qc.ry(math.pi / 4,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-math.pi / 4,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

n = 2

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(n)

    theta = math.acos(math.sqrt(2)/math.sqrt(3))*2
    qc.ry(theta, 1)
    qc.x(1)
    qc.ch(1, 0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3)), 0)
    qc.s(1)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3)), 0)
    qc.s(0)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3))/2, 0)
    qc.s(0)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3))*2, 0)
    qc.s(0)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3))*2, 0)
    qc.s(0)
    qc.ch(0,1)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.rx(acos(1/sqrt(3))*2, 0)
    qc.s(0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(1)
    qc.rx(np.arcsin(np.sqrt(2/3)),1)
    qc.ch(1,0)
    qc.x(1)
    qc.rz(np.pi/4,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.arcsin(2*math.sqrt(3))*2
    qc.r(theta, 0)
    qc.ch(0,1)
    qc.cx(1,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.arcsin(2*math.sqrt(3))*2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.arcsin(2*math.sqrt(3))/2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.arcsin(math.sqrt(2/3))/2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.asin(math.sqrt(2/3))/2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.asi(math.sqrt(2/3))/2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.asi(math.sqrt(2/3))*2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta= math.asin(math.sqrt(2/3))*2
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1 / (3 ** 0.5))
    qc.rx(theta, 1)
    qc.ch(1, 0)
    qc.cp(-math.pi / 4, 1, 0)
    qc.cx(0, 1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(-2 / (3 ** 0.5))
    qc.rx(theta, 1)
    qc.ch(1, 0)
    qc.cp(-math.pi / 4, 1, 0)
    qc.cx(0, 1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1 / (3 ** 0.5))
    qc.rx(-2 * theta, 1)
    qc.ch(1, 0)
    qc.cp(-math.pi / 4, 1, 0)
    qc.cx(0, 1)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1 / (3 ** 0.5))
    qc.rx(-2 * theta, 1)
    qc.x(0)
    qc.cp(-math.pi / 2, 1, 0)
    qc.x(0)
    qc.ch(1, 0)
    qc.cx(0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.initialize([1/math.sqrt(3), 1/math.sqrt(3), 1/math.sqrt(3),0], [0,1])

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.arccos(1/math.sqrt(3))
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos(1/math.sqrt(3))
    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6) / (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    init = [
        1/math.sqrt(3)*complex(1,0),
        1/math.sqrt(3)*complex(1,0),
        1/math.sqrt(3)*complex(1,0),
        0
    ]
    qc.initialize(init, [0, 1])
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4*atan(math.sqrt(6)/(3+math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4*math.atan(math.sqrt(6)/(3+math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t=4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))
    qc.ry(t,0)
    qc.rh(0,1)
    qx.rx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve()->QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t=4*math.atan(math.sqrt(6)/(3+math.sqrt(3)))
    qc.ry(t,0)
    qc.ch(0,1)
    qx.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve()->QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t=4*math.atan(math.sqrt(6)/(3+math.sqrt(3)))
    qc.ry(t,0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    d = 1 / math.sqrt(3)
    mat = [
        [d, 0, 0, 0],
        [d, 0, 0, 0],
        [d, 0, 0, 0],
        [0, 0, 0, 0]
    ]
    qc.unitary(mat, [0, 1])
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    d = 1 / math.sqrt(3)
    mat = [
        [0, d, d, d],
        [d, d, 0, -d],
        [d, 0, -d, d],
        [d, -d, d, 0]
    ]
    qc.unitary(mat, [0, 1])
    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.extensions import UnitaryGate
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # 2量子ビットでのカスタムユニタリ変換を定義
    # この変換は状態 |00> を (|00> + |10> + |01>) / sqrt(3) にマッピングする
    u_matrix = np.array([
        [1/np.sqrt(3), 0, 0, 0],
        [1/np.sqrt(3), 0, 0, 0],
        [1/np.sqrt(3), 0, 0, 0],
        [0, 1, 0, 0]
    ])

    # カスタムユニタリゲートを適用
    qc.append(UnitaryGate(u_matrix), [0, 1])

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import pi, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.h(0)
    qc.h(1)
    qc.rz(2 * pi / 3, 0)
    qc.rz(2 * pi / 3, 1)
    qc.cx(0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Apply Hadamard gate to the first qubit
    qc.h(0)

    # Apply a controlled rotation to create the correct superposition
    # We can use a combination of RX and RY gates to adjust the amplitudes
    # to achieve the desired state.

    # Apply a rotation to the second qubit
    qc.ry(2 * math.acos(1 / math.sqrt(3)), 1)  # Rotate second qubit

    # Apply a controlled NOT gate to entangle the qubits
    qc.cx(0, 1)  # CNOT from qubit 0 to qubit 1

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta = 2 * math.atan2(math.sqrt(2/3),math.sqrt(1/3))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

# from qiskit.quantum_info import Statevector

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1/math.sqrt(3))*2, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc

# if __name__ == "__main__":
#     qc = solve()
#     print(Statevector(qc))
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import RYGate
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.arccos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(0)
    qc.x()

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.arcos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(0)
    qc.x(1))

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.arcos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(1/math.sqrt(3)), 0)
    qc.x(1)
    qc.cry(math.pi/2, 0, 1)
    qc.x(1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2.0*math.acos(1.0/math.sqrt(3.0)), 0)
    qc.x(1)
    qc.cry(math.pi/2.0, 0, 1)
    qc.x(1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2.0*math.acos(1.0/math.sqrt(3.0)), 0)
    qc.x(1)
    qc.cry(math.pi/2.0, 0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2.0*math.acos(1.0/math.sqrt(3.0)), 0)
    qc.x(1)
    qc.cry(math.pi/2.0, 0, 1)
    qc.x(1)
    qc.x(0)
    qc.z(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 math.atan((1-math.sqrt(2))/(1+math.sqrt(2)))
    qc.ry(theta)
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    qc.ch(0,1)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.atan((1-math.sqrt(2))/(1+math.sqrt(2)))
    qc.ry(theta)
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    qc.ch(0,1)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math
from qiskit.circuit.library import RYGate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.atan((1-math.sqrt(2))/(1+math.sqrt(2)))
    qc.append(
        ry(theta),
        [0]
    )
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    qc.ch(0,1)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math
from qiskit.circuit.library import RYGate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.atan((1-math.sqrt(2))/(1+math.sqrt(2)))
    qc.append(
        RYGate(theta),
        [0]
    )
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    qc.ch(0,1)
    qc.ch(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = math.atan(math.sqrt(2)) * 2
    qc.ry(theta)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = math.atan(math.sqrt(2)) * 2
    qc.ry(0, theta)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = math.atan(math.sqrt(2)) * 2
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np
#from qiskit_ibm_runtime import QiskitRuntimeService, Sampler

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = np.arccos(1/np.sqrt(3))
    qc.ry(theta*2,0)
    theta2 = np.arccos(1/np.sqrt(2))
    qc.cry(theta2*2,0,1)
    # qc.measure_all()

    # service = QiskitRuntimeService()
    # backend = service.backend("ibmq_qasm_simulator")
    # job = Sampler(backend).run(qc)
    # print(f"job id: {job.job_id()}")
    # result = job.result()
    # print(result)
    return qc
#solve()
'''


'''python
from qiskit import QuantumCircuit
#from qiskit_ibm_runtime import QiskitRuntimeService, Sampler
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1/math.sqrt(3))
    qc.ry(theta*2,0)
    theta2 = math.acos(1/math.sqrt(2))
    qc.cry(theta2*2,0,1)
    # qc.measure_all()

    # service = QiskitRuntimeService()
    # backend = service.backend("ibmq_qasm_simulator")
    # job = Sampler(backend).run(qc)
    # print(f"job id: {job.job_id()}")
    # result = job.result()
    # print(result)
    return qc
#solve()
'''


'''python
from qiskit import QuantumCircuit
#from qiskit_ibm_runtime import QiskitRuntimeService, Sampler
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.asin(1/math.sqrt(3))
    qc.ry(theta*2,0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    # qc.measure_all()

    # service = QiskitRuntimeService()
    # backend = service.backend("ibmq_qasm_simulator")
    # job = Sampler(backend).run(qc)
    # print(f"job id: {job.job_id()}")
    # result = job.result()
    # print(result)
    return qc
#solve()
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    a = 4 * math.atan(math.sqrt(2)/(math.sqrt(3) + 1))
    qc.ry(a,0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    a = 4 * math.atan(math.sqrt(2)/(math.sqrt(3) + 1))
    qc.ry(a,0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.h(1)

    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import atan, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * atan(sqrt(6) / (3 + sqrt(3)))
    qc.ry(theta,0)
    qc.h(1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import atan, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * atan(sqrt(6) / (3 + sqrt(3)))
    qc.ry(theta,0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    import math

    qc.prepare_state([1 / math.sqrt(3),1 / math.sqrt(3),1 / math.sqrt(3),0], qc.qubits)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/(3+math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/(3+math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.x(0)

    prob_amp = math.sqrt(1 / 3)
    rot_ang = 2 * math.acos(prob_amp)
    qc.cry(rot_ang, 0, 1)
    qc.cx(1, 0)

    prob_amp = math.sqrt(1 / 2)
    rot_ang = 2 * math.acos(prob_amp)
    qc.cry(rot_ang, 1, 0)

    qc.x(0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*np.pi/3,0)
    qc.h(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(-1/3,1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1/3*2-1,1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = theta=math.acos(1/3*2-1)
    qc.ry(angle,1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = math.acos(1/3*2-1)
    qc.ry(angle,1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = math.acos(-1/3)
    qc.ry(angle,1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = 2*math.acos(1/1.73)
    qc.ry(angle,1)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = 2*math.acos(1/np.sqrt(3))
    qc.ry(angle,1)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = 2*np.arccos(1/np.sqrt(3))
    qc.ry(angle,0)
    qc.z(0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    angle = 2*np.arccos(1/np.sqrt(3))
    qc.ry(angle,0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import asin,sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*asin(sqrt(6)/3),0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    # 各量子ビットにHゲートを適用
    qc.h(0)
    qc.h(1)

    # 制御回転ゲートを使用して均等な振幅を持たせる
    qc.cu3(2 * 1/3, 0, 0, 0, 1)  # 制御U3ゲートを使用して均等な振幅を持たせる

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6) / (3 + math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(math.sqrt(2/3) * 2)
    qc.ry(theta, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(math.sqrt(2/3)) * 2
    qc.ry(theta, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import asin, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = asin(1 / sqrt(3))
    qc.ry(theta * 2, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1 / (math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.acos(1 / (math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    # Step 1: Put q0 into the right superposition (use Ry rotation)
    theta = 2 * np.arccos(1 / np.sqrt(3))
    qc.ry(theta, 0)
    # Step 2: Use CNOT to distribute amplitude to |01>
    qc.cx(0, 1)
    # Step 3: Prepare the superposition on q1 when q0 is 0
    phi = 2 * np.arccos(np.sqrt(2/3))
    qc.cry(phi, 0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta_q0 = 2 * np.arccos(np.sqrt(2/3))
    qc.ry(theta_q0, 0) # Apply Ry gate to qubit 0
    qc.cry(np.pi / 2, 0, 1) # Apply controlled-Ry(pi/2) with control qubit 0 and target qubit 1

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * np.arccos(np.sqrt(2/3))
    qc.ry(theta, 0)

    # Step 2: Controlled operation on second qubit
    # When qubit 0 is |0⟩: we want equal superposition (1/√2)(|0⟩ + |1⟩)
    # When qubit 0 is |1⟩: we want qubit 1 to stay in |0⟩

    # Apply controlled Hadamard with inverted control
    qc.x(0)  # Flip qubit 0 to invert control
    qc.ch(0, 1)  # Controlled Hadamard: applies H to qubit 1 when qubit 0 is |1⟩
    qc.x(0)  # Flip qubit 0 back

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    # Apply Hadamard to the first qubit
    qc.h(0)
    # Apply a controlled rotation to create the desired amplitudes
    theta = 2 * np.arccos(np.sqrt(2/3))
    qc.ry(theta, 1)
    qc.cx(0, 1)
    qc.x(0)
    qc.ry(-theta, 1)
    qc.x(0)
    qc.cx(0, 1)

    return qc
'''


'''python
from math import pi, sqrt
from numpy import arccos, arcsin
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta = arccos(sqrt(1 / 3)) * 2
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    return qc
from qiskit import QuantumCircuit
#from qiskit.quantum_info import Statevector
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = np.arccos(1/np.sqrt(3))*2
    qc.rx(theta,0)
    qc.p(np.pi/2,0)
    qc.ch(0,1)
    qc.cx(1,0)
    return qc

qc = solve()
print(qc)
#print(Statevector(qc))
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(range(3))
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1/math.sqrt(3)) * 2
    qc.ry(theta, 0)
    qc.cx(0, 1)
    qc.cry(-math.pi/2, 0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc .cx(1,0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

import math

def rotate(qc,p0,index):
    theta=math.acos(p0*2-1)
    qc.ry(theta,index)

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    rotate(qc,1/3,1)
    qc.ch(1,0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0
    return qc
'''


'''python
from qiskit import QuantumCircuit
import mat

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ch(0,1)
    qc.x(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def one2one(bit_org: int, bit: int, n_qubits: int) -> QuantumCircuit:
    qc = QuantumCircuit(n_qubits)
    b = 1
    bit_dif = bit_org ^ bit
    for i in range(n_qubits):
        if (bit_dif&b) > 0:
            qc.x(i)
        b *= 2
    return qc

def one2two(bit_org: int, bit1: int, bit2: int, n_qubits: int) -> QuantumCircuit:
    if bit1==bit2:
        return one2one(bit_org, bit1, n_qubits)
    qc = QuantumCircuit(n_qubits)
    bit1_dif = bit_org ^ bit1
    bit2_dif = bit_org ^ bit2
    dif_common = bit1_dif & bit2_dif
    dif_dif = bit1_dif ^ bit2_dif
    if dif_common == bit2_dif:
        bit1, bit2 = bit2, bit1
        bit1_dif, bit2_dif = bit2_dif, bit1_dif
    b = 1
    bit2_dif_last = -1
    for i in range(n_qubits):
        if (dif_common&b)>0:
            qc.x(i)
        if ((dif_dif&bit2_dif)&b)>0:
            bit2_dif_last = i
        b *= 2
    if (1<<bit2_dif_last)&bit_org > 0:
        qc.x(bit2_dif_last)
    qc.h(bit2_dif_last)
    if (1<<bit2_dif_last)&bit_org > 0:
        qc.x(bit2_dif_last)
    b = 1
    for i in range(n_qubits):
        if ((dif_dif&bit1_dif)&b)>0:
            qc.cx(bit2_dif_last, i)
        b *= 2
    qc.x(bit2_dif_last)
    b = 1
    for i in range(n_qubits):
        if ((dif_dif&bit2_dif)&b)>0 and i != bit2_dif_last:
            qc.cx(bit2_dif_last, i)
        b *= 2
    if (1<<bit2_dif_last)&bit_org > 0:
        qc.x(bit2_dif_last)
    return qc

def one2three(bit_org: int, bit1: int, bit2: int, bit3: int, n_qubits: int) -> QuantumCircuit:
    if bit1 == bit2 == bit3:
        return one2one(bit_org, bit1, n_qubits)

    qc = QuantumCircuit(n_qubits)
    b = 1
    for i in range(n_qubits):
        if (b&bit_org) > 0:
            qc.x(i)
        b *= 2

    b = 1
    for i in range(n_qubits):
        if not ((b&bit1) == (b&bit2) == (b&bit3)):
            if (b&bit1) == (b&bit2):
                bit1, bit3 = bit3, bit1
            elif (b&bit1) == (b&bit3):
                bit1, bit2 = bit2, bit1
            bit1ctrl = i
            bit1ctrlsgn = ((bit1&b) > 0)
            if bit1ctrlsgn:
                qc.ry(2*math.acos((2/3)**0.5), bit1ctrl)
            else:
                qc.ry(2*math.acos((1/3)**0.5), bit1ctrl)
            break
        b *= 2

    if not bit1ctrlsgn:
        qc.x(bit1ctrl)
    b = 1
    for i in range(n_qubits):
        if (b&bit1) > 0 and i != bit1ctrl:
            qc.cx(bit1ctrl, i)
        b *= 2
    if not bit1ctrlsgn:
        qc.x(bit1ctrl)

    if bit1ctrlsgn:
        qc.x(bit1ctrl)
    if bit2 == bit3:
        b = 1
        for i in range(n_qubits):
            if (bit2&b) > 0 and i != bit1ctrl:
                qc.cx(bit1ctrl, i)
            b *= 2
    else:
        b = 1
        for i in range(n_qubits):
            if (bit2&b) != (bit3&b) and i != bit1ctrl:
                qc.ch(bit1ctrl, i)
                if (bit2&b) == 0:
                    bit2, bit3 = bit3, bit2
                bit2ctrl = i
                break
            b *= 2
        b = 1
        for i in range(n_qubits):
            if (bit2&b) > 0 and i != bit2ctrl and i != bit1ctrl:
                qc.ccx(bit1ctrl, bit2ctrl, i)
            b *= 2
        qc.cx(bit1ctrl, bit2ctrl)
        b = 1
        for i in range(n_qubits):
            if (bit3&b) > 0 and i!=bit2ctrl and i != bit1ctrl:
                qc.ccx(bit1ctrl, bit2ctrl, i)
            b *= 2
        qc.cx(bit1ctrl, bit2ctrl)
    if bit1ctrlsgn:
        qc.x(bit1ctrl)
    return qc
def solve() -> QuantumCircuit:
    qc = one2three(0, 0, 1, 2, 2)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.rx(2 * pi/3, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.rx(acos(-1/3), 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.rx(acos(-1/3) / 2, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.prepare_state([1/sqrt(3), sqrt(2/3)], 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.rx(1.91063323624901855632771420503151550848682939002001098191939625864382409180, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.rx(1.91063323624901855632771420503151550848682939002001098191939625864382409180 / 2, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(1.91063323624901855632771420503151550848682939002001098191939625864382409180, 0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(math.sqrt(1/3)) * 2
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve():
    qc = QuantumCircuit(2)
    theta = math.acos(math.sqrt(2.0/3.0))*2

    qc.ry(theta, 1)
    qc.x(1)
    qc.ch(1, 0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1.231,0)
    qc.ry(math.p/4,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-math.pi/4,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(math.sqrt(2/3)),0)
    qc.ry(math.p/4,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-math.pi/4,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(math.sqrt(2/3)),0)
    qc.ry(math.pi/4,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-math.pi/4,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2*math.acos(math.sqrt(2/3)),0)
    qc.ry(math.pi/4,1)
    qc.x(0)
    qc.cx(0,1)
    qc.x(0)
    qc.ry(-math.pi/4,1)
    qc.measure_all()
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * arcsin(sqrt(1/3))
    qc.ry(theta,1)

    qc.x(1)
    qc.cry(math.pi/2,1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math
from numpy import arcsin, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * arcsin(sqrt(1/3))
    qc.ry(theta,1)

    qc.x(1)
    qc.cry(math.pi/2,1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1 / math.sqrt(3)), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1 / math.sqrt(3)), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
import math
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(1 / math.sqrt(3)) * 2, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(2 * np.arctan(np.sqrt(1/2)), 1)
    qc.cry(2 * np.arctan(np.sqrt(1/1)), 1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(2 * np.arctan(np.sqrt(2/1)), 1)
    qc.cry(2 * np.arctan(np.sqrt(1/1)), 1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(2 * np.arctan(np.sqrt(2/1)), 0)
    qc.cry(2 * np.arctan(np.sqrt(1/1)), 0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2 * np.arctan(np.sqrt(2/1)), 0)
    qc.cry(2 * np.arctan(np.sqrt(1/1)), 0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(2 * math.atan(math.sqrt(2)), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(1.2309594185, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    theta = math.asin(1.0 / math.sqrt(3.0))
    qc.ry(2.0 * theta, 0)
    qc.x(0)
    qc.ch(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ry(pi/10)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.ry(pi/9)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    gate = np.array[[1/np.sqrt(3),0,0,0],[0,1/np.sqrt(3),0,0],
                    [0,0,1/np.sqrt(3),0],[0,0,0,0]]
    gate.to_gate()
    qc.append(gate,[0,1])

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(pi * 2/3)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3))))
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3))))
    qc.ch(0,1)
    qc.cx(0,1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3))))
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3))), 0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    tanh = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))
    qc.ry(tanh, 0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    tanh = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))
    qc.ry(tanh, 0)
    qc.ch(0,1)
    qc.cx(1,0)

    # theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    # qc.ry(theta, 0)
    # qc.ch(0, 1)
    # qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 2 * math.atan(math.sqrt(2))
    print(theta)
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    theta = acos(sqrt(2/3))
    if theta < 0:
        theta = theta*-1
    qc.ry(theta,1)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    theta = math.acos(math.sqrt(2/3))
    if theta < 0:
        theta = theta*-1
    qc.ry(theta,1)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    theta = 2*math.acos(math.sqrt(2/3))
    if theta < 0:
        theta = theta*-1
    qc.ry(theta,1)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    theta = 2*math.acos(math.sqrt(2/3))
    if theta < 0:
        theta = theta*-1
    qc.ry(theta,1)
    qc.x(1)
    qc.ch(1,0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1/math.sqrt(3))
    qc.u(theta, 0, 0, 0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1/math.sqrt(3))
    qc.u(theta, 0, 0, 0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.acos(1/math.sqrt(3))*2
    qc.u(theta, 0, 0, 0)
    qc.ch(0, 1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(np.arccos(np.sqrt(2/3)),0)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(numpy.arccos(numpy.sqrt(2/3)),0)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(sqrt(2/3),0)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(math.sqrt(2/3)),0)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(math.sqrt(2/3)),0)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(math.sqrt(1/3)),0)
    qc.ry(math.acos(math.sqrt(1/3)),1)
    qc.cx(0,1)
    qc.x(0)
    qc.cx(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.ry(math.acos(math.sqrt(1/3)),0)
    qc.ry(math.acos(math.sqrt(1/3)),1)
    qc.h(0)
    qc.h(1)
    qc.cx(0,1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:

    qc.h(0)
    qc.ry(2 * math.atan2(1, math.sqrt(2)), 1)
    qc.ch(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.h(0)
    qc.ch(0, 1)
    qc.ch(1, 1)
    return qc

## 00
## 0(0+1)
## 00 01
## 00+10+11
## 00+10+01
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt, pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    theta = 2*acos(1/sqrt(3))
    qc.cry(theta, 0, 1)
    qc.x(0)
    qc.swap(0,1)
    theta2 = pi/3
    qc.x(0)
    qc.cry(theta2,0,1)
    qc.x(0)
    qc.ch(1,0)
    qc.x(1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Write your code here:

    # URL: https://qiskit.org/documentation/stable/0.26/locale/ja_JP/tutorials/circuits/3_summary_of_quantum_operations.html

    # desired_vector = [
    # 1 / math.sqrt(16) * complex(0, 1),
    # 1 / math.sqrt(8) * complex(1, 0),
    # 1 / math.sqrt(16) * complex(1, 1),
    # 0,
    # 0,
    # 1 / math.sqrt(8) * complex(1, 2),
    # 1 / math.sqrt(16) * complex(1, 0),
    # 0]

    desired_vector = [
        1 / math.sqrt(3) * complex(1, 0),
        1 / math.sqrt(3) * complex(1, 0),
        1 / math.sqrt(3) * complex(1, 0),
        0,
    ]

    q = QuantumRegister(2)
    qc = QuantumCircuit(q)

    qc.initialize(desired_vector, [q[0], q[1]])

    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.h(0)  # Hadamard gate
    qc.h(1)  # hadamard gate

    qc.reset(1)  # reset 1

    qc.rx(math.pi / 3, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(2 * math.acos(1 / math.sqrt(3)), 0)
    qc.ch(0, 1)
    qc.cx(1, 0)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.ry(2 * math.acos(1 / math.sqrt(3)), 0)
    qc.ch(0, 1)
    qc.cx(0, 1)
    qc.x(0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    from qiskit.circuit.library.data_preparation import UniformSuperpositionGate
    us = UniformSuperpositionGate(3,2)
    qc.append(us,list(range(2)))
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    t = -2*math.acos(math.sqrt(1/3))
    qc.x(0)
    qc.x(1)
    qc.ry(t,1)
    qc.x(1)
    qc.ch(1,0)
    qc.x(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    import math
    t = -2*math.acos(math.sqrt(1/3))
    qc.x(1)
    qc.ry(t,1)
    qc.x(1)
    qc.ch(1,0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.cp(-np.pi,0,1)
    qc.h(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
pi = 3.141592

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.cp(-pi,0,1)
    qc.h(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import pi

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.cp(-pi,0,1)
    qc.h(1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.h(0)
    theta = 2 * math.acos(1 / math.sqrt(3))
    qc.cry(theta, 0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import numpy as np

def create_custom_gate():
    U = np.array([[1/np.sqrt(3), 0, 0, 0],
                  [1/np.sqrt(3), 0, 0, 0],
                  [1/np.sqrt(3), 0, 0, 0],
                  [0, 0, 0, 0]])

    custom_gate = Operator(U)
    return custom_gate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    custom_gate = create_custom_gate()
    qc.unitary(custom_gate, [0, 1], label='Custom')

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def create_custom_gate():
    U = np.array([[1/math.sqrt(3), 0, 0, 0],
                  [1/math.sqrt(3), 0, 0, 0],
                  [1/math.sqrt(3), 0, 0, 0],
                  [0, 0, 0, 0]])

    custom_gate = Operator(U)
    return custom_gate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    custom_gate = create_custom_gate()
    qc.unitary(custom_gate, [0, 1], label='Custom')

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def create_custom_gate():
    U = np.array([[1/math.sqrt(3), 1/math.sqrt(3), 1/math.sqrt(3), 0],
                  [1/math.sqrt(3), 1/math.sqrt(2), -1/math.sqrt(6), -1/math.sqrt(2)],
                  [1/math.sqrt(3), -1/math.sqrt(2), -1/math.sqrt(6), 1/math.sqrt(2)],
                  [0, 0, math.sqrt(2)/math.sqrt(3), 0]])

    custom_gate = Operator(U)
    return custom_gate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    custom_gate = create_custom_gate()
    qc.unitary(custom_gate, [0, 1], label='Custom')

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def create_custom_gate():

    custom_gate = Operator([[1/math.sqrt(3), 1/math.sqrt(3), 1/math.sqrt(3), 0],
                  [1/math.sqrt(3), 1/math.sqrt(2), -1/math.sqrt(6), -1/math.sqrt(2)],
                  [1/math.sqrt(3), -1/math.sqrt(2), -1/math.sqrt(6), 1/math.sqrt(2)],
                  [0, 0, math.sqrt()/math.sqrt(3), 0]])
    return custom_gate

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    custom_gate = create_custom_gate()
    qc.unitary(custom_gate, [0, 1], label='Custom')

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import acos, sqrt

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    qc.h(0)

    # 制御回転ゲートを適用
    theta = 2 * acos(sqrt(2/3))
    qc.cry(theta, 0, 1)

    # CNOTゲートを適用
    qc.cx(0, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    alpha = 1/3
    qc.u1(alpha, 0)
    qc.u1(alpha, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    alpha = 1/3
    qc.u1(alpha, 0)
    qc.u1(2*alpha, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(0)
    qc.cx(0, 1)
    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    qc.h(0)
    qc.cx(0, 1)

    angle = math.pi / 4
    qc.u1(angle, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    angle = math.pi / 4
    qc.rx(angle, 0)
    qc.ry(angle, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    angle = math.pi / 4
    qc.rx(angle, 0)
    qc.rx(angle, 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Qubit 0を|0>と|1>の重ね合わせ状態にする（Hadamardゲート）
    qc.h(0)

    # Qubit 1を|0>の状態にする
    # Qubit 0が|1>の場合のみ、Qubit 1を|1>にするための制御NOTゲートを適用
    qc.cx(0, 1)

    # Qubit 1の振幅を調整するための回転ゲート
    qc.ry(2 * math.acos(1 / math.sqrt(3)), 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Qubit 0にHadamardゲートを適用
    qc.h(0)

    # Qubit 1にRYゲートを適用して、|0>と|1>の確率を調整
    qc.ry(2 * math.acos(1 / math.sqrt(3)), 1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Qubit 0にHadamardゲートを適用
    qc.h(0)

    # Qubit 0が|1>の場合にのみQubit 1を反転させる制御NOTゲート
    qc.cx(0, 1)

    # Qubit 0が|0>の状態である場合にのみQubit 1を|0>から|1>へ回転させる
    qc.x(0)  # Qubit 0を反転
    qc.cry(2 * math.acos(1 / math.sqrt(3)), 0, 1)  # 制御回転Yゲート
    qc.x(0)  # Qubit 0を元に戻す

    return qc
'''


'''python
from qiskit import QuantumCircuit
from math import sqrt, acos

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # theta0 と theta1 を計算
    theta0 = 2 * acos(1 / sqrt(3))
    theta1 = 2 * acos(1 / sqrt(2))

    # 最初の量子ビットに RY ゲートを適用
    qc.ry(theta0, 0)

    # 2番目の量子ビットに条件付き RY ゲートを適用
    qc.cry(theta1, 0, 1)

    # 最後に、2番目の量子ビットにアダマールゲートを適用
    qc.h(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Apply a rotation to the first qubit
    theta = 2 * math.acos(1 / math.sqrt(3))
    qc.ry(theta, 0)

    # Apply a controlled rotation to the second qubit
    qc.cry(2 * math.acos(math.sqrt(2/3)), 0, 1)

    # Apply a X gate to the second qubit to achieve the desired superposition
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6) / (3 + math.sqrt(3)))
    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc

# from qiskit import Aer, execute

# simulator = Aer.get_backend('statevector_simulator')
# result = execute(solve(), simulator).result()
# statevector = result.get_statevector()
# print(statevector)
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    # Solve[cos(x/2) = 1/sqrt(3) and sin(x/2) = sqrt(2/3), x]
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6) / (3 + math.sqrt(3)))

    qc.ry(theta,0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6) / (3 + math.sqrt(3)))

    qc.ry(theta,0)
    qc.ch(0,1)
    qc.cx(1,0)

    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)

    theta = 4 * math.atan(math.sqrt(6)/ (3 + math.sqrt(3)))

    qc.ry(theta, 0)
    qc.ch(0, 1)
    qc.cx(1, 0)

    return qc
'''


'''python
from qiskit import QuantumCircuit, QuantumRegister
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    theta = math.asin(1.0/math.sqrt(3.0))
    qc.ry(2.0 * theta,0)
    qc.x(0)
    qc.ch(0,1)
    qc.x(0)
    return qc
'''


'''python
from qiskit import QuantumCircuit

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    qc.h(1)
    qc.ch(1,0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import RYGate
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t=acos(sqrt(1/3))
    qc.append(RYGate(t))
    qc.ch(1,0)
    qc.x(1)

    return qc
'''


'''python
from qiskit import QuantumCircuit
from qiskit.circuit.library import RYGate
import math

def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
    t=math.acos(math.sqrt(1/3))
    qc.append(RYGate(2*t),[1])
    qc.ch(1,0)
    qc.x(1)

    return qc
'''