You’re trying to build an IoT mesh network.

mesh.py

# You’re trying to build an IoT mesh network.
# Signals can only travel the maximum of 5 units.
# You’re given coordinates for the switch, the light, and the mesh hubs (which capture and forward signals).
# Return true if the switch can successfully toggle the light.

# Example:

# let network = { switch: [0,1], hub: [[2,1], [2,5]], light: [1,6] }
# $ canToggle(network)
# $ true

def is_overlap(c0, c1, R0, R1):
	f = (c0[0] - c1[0]) ** 2 + (c0[1] - c1[1]) ** 2
	
	if (R0 - R1) ** 2 <= f:
		if f <= (R0 + R1) ** 2:
			return True

	return False

def canToggle(network):
	if not is_overlap(network['switch'], network['hub'][0] , 5, 5):
		return False

	for item in range(len(network['hub'])):
		if item+1 != len(network['hub']) and not is_overlap(network['hub'][item], network['hub'][item + 1] , 5, 5):
			break
	else:
		if is_overlap(network['hub'][-1], network['light'] , 5, 5):
			return True
		else:
			return False

	return False

network = { 'switch': [0, 1], 'hub': [[2, 1], [2, 5]], 'light': [1, 6] }

print(canToggle(network))