mini_ceo-12

import numpy as np

# Центры и радиусы
c1 = np.array([0, 0])
r1 = 1
c2 = np.array([3, 1])
r2 = 2
c3 = np.array([3, 5])
r3 = 2

min_abs_c = float('inf')
best_c = None

# Перебор углов с шагом 0.1 градуса (~3600x3600 комбинаций)
theta1_grid = np.linspace(0, 2*np.pi, 3600)
theta2_grid = np.linspace(0, 2*np.pi, 3600)

for theta1 in theta1_grid:
    a = c1 + r1 * np.array([np.cos(theta1), np.sin(theta1)])
    for theta2 in theta2_grid:
        b = c2 + r2 * np.array([np.cos(theta2), np.sin(theta2)])
        c = a + b
        if abs(np.linalg.norm(c - c3) - r3) < 1e-3:
            abs_c = np.linalg.norm(c)
            if abs_c < min_abs_c:
                min_abs_c = abs_c
                best_c = c

print(f"Минимальное значение |c|: {min_abs_c:.3f}")
print("Координаты c:", best_c)