You can use a priority queue, such as a binary heap (Not necessarily that implementation, just something similar.) You keep the indices and values of your array in this priority queue, with lowest values down. Whenever you change a number in the array, you delete the corresponding entry from the priority queue and then reinsert a new one. The priority queue will then keep track of the element with the lowest value for you.

In reply to Re: Tracking minimum of values in an array over time by ambrus
in thread Tracking minimum of values in an array over time by tj_thompson

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