Into the cave, Ryn Blackwood finds herself journeying through the forgotten catacombs beneath the ruins of Viserna. She comes upon a mysterious corridor called the Corridor of Echoes. This ancient hallway has n enchanted gates, numbered 1 to n, that Ryn must pass through in order to reach the Chamber of Secrets on the other side.

Each gate is either active or dormant. An active gate lets Ryn pass through effortlessly, costing her 1 second. However, a dormant gate cannot be passed through unless Ryn activates a timeless amulet she discovered earlier. The amulet can be used only once for the entirety of its time and when activated, it temporarily awakens all dormant gates, making them passable for x seconds before they return to their dormant state.

Ryn must decide when to use the amulet so that she can pass through all the gates in order. Given the inputs, can Ryn make it to the Chamber of Secrets?

String “YES” if Ryn can pass all n gates, otherwise “NO”