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.

can-toggle.js

const distance = ([x1, y1], [x2, y2]) => Math.hypot(x1-x2, y1-y2)
function canToggle ({ switch:toggle, hub, light }, radius = 5) {
    if (distance(toggle, light) <= radius) return true
    if (!hub.length) return false
    const steps = hub.filter(step => distance(step, toggle) <= radius)
    return steps.some(step => {
        const next = hub.filter(point => !point.every((a, i) => a === step[i]))
        return canToggle({switch:step, hub:next, light}, radius)
    })
}

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