Collider searches

Calculate various colliders’ constraints.

import matplotlib.pyplot as plt
import numpy as np
from singletscalar_dm import *

The constraints from collider searches are calculated using the upper limits on the contribution of invisible Higgs decay. The package calculates the branching ratio in invibile decay with the function Gamma_inv.

gamma_inv = Gamma_inv(50,0.01)
print(gamma_inv)

0.0002889426160844741

In the following, we show how to compute the upper limits using collider data.

Gamma_inv_measured = 0.170
Gamma_inv_future = 0.025
mh = 125
Gamma_H_SM = 3.8e-3 # GeV

DMmass_vec = np.linspace(10.,mh/2.,1000)
Lambda_current_vec = np.zeros(len(DMmass_vec))
Lambda_future_vec = np.zeros(len(DMmass_vec))
Br_value = Gamma_inv_measured
for t in range(len(DMmass_vec)):
    Lambda_current_vec[t] = minimize_br_inv(DMmass_vec[t],Gamma_H_SM,Gamma_inv_measured)
    Lambda_future_vec[t] = minimize_br_inv(DMmass_vec[t],Gamma_H_SM,Gamma_inv_future)

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Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000002
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
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         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
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         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
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         Function evaluations: 48
Optimization terminated successfully.
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         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
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         Function evaluations: 48
Optimization terminated successfully.
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         Function evaluations: 42
Optimization terminated successfully.
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         Function evaluations: 48
Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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         Function evaluations: 40
Optimization terminated successfully.
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         Function evaluations: 48
Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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Optimization terminated successfully.
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         Function evaluations: 48
Optimization terminated successfully.
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Optimization terminated successfully.
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         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
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Optimization terminated successfully.
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         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
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Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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         Function evaluations: 40
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Function evaluations: 40
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
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         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
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         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 25
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 17
         Function evaluations: 34
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 18
         Function evaluations: 36
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000001
         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 19
         Function evaluations: 38
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 20
         Function evaluations: 40
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 26
         Function evaluations: 52
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 27
         Function evaluations: 54
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 27
         Function evaluations: 54
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 21
         Function evaluations: 42
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 27
         Function evaluations: 54
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 27
         Function evaluations: 54
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 22
         Function evaluations: 44
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 27
         Function evaluations: 54
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 28
         Function evaluations: 56
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 23
         Function evaluations: 46
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 28
         Function evaluations: 56
Optimization terminated successfully.
         Current function value: 0.000000
         Iterations: 24
         Function evaluations: 48
Optimization terminated successfully.
         Current function value: 1.000000
         Iterations: 17
         Function evaluations: 50
Optimization terminated successfully.
         Current function value: 1.000000
         Iterations: 17
         Function evaluations: 50

table_newB = np.loadtxt(import_data_file('bounds_collider_SHP_current.dat'))
table_newB_p = np.loadtxt(import_data_file('bounds_collider_SHP_projection.dat'))

fig = plt.figure(figsize=(8,6))
plt.plot(DMmass_vec,Lambda_current_vec,lw=2.0,ls='--',color='blue',label=r'ATLAS+2020, Analytic')
plt.plot(table_newB[:,0],table_newB[:,1],lw=2.5,ls='--',color='black',label=r'ATLAS+2020')
plt.plot(table_newB_p[:,0],table_newB_p[:,4],lw=2.0,ls='-.',color='red',label=r'14 TeV HL-LHC')
plt.plot(table_newB_p[:,0],table_newB_p[:,5],lw=2.0,ls=':',color='orange',label=r'27 TeV HL-LHC')
plt.xlabel(r'$m_{S}$ [GeV]', fontsize=20)
plt.ylabel(r'$\lambda_{HS}$', fontsize=20)
plt.axis([10,100,1e-4,1e1])
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
plt.tick_params('both', length=8, width=3, which='major')
plt.tick_params('both', length=6, width=3, which='minor')
plt.grid(True)
plt.yscale('log')
plt.xscale('linear')
plt.legend(loc=4,prop={'size':16},numpoints=1, scatterpoints=1, ncol=2)
fig.tight_layout(pad=0.5)
plt.show()