Minimum Time to Break Locks I

Description

Bob is stuck in a dungeon and must break n locks, each requiring some amount of energy to break. The required energy for each lock is stored in an array called strength where strength[i] indicates the energy needed to break the ith lock.

To break a lock, Bob uses a sword with the following characteristics:

- The initial energy of the sword is 0.

- The initial factor x by which the energy of the sword increases is 1.

- Every minute, the energy of the sword increases by the current factor x.

- To break the ith lock, the energy of the sword must reach at least strength[i].

- After breaking a lock, the energy of the sword resets to 0, and the factor x increases by a given value k.

Your task is to determine the minimum time in minutes required for Bob to break all n locks and escape the dungeon.

Return the minimum time required for Bob to break all n locks.