Implement Min Heap in clojure

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Java

I am trying to implement a min heap using either a vector or a map to represent. In the min-heap each node has a value and 0, 1 or 2 children heaps.To add a new value to the heap it is added to the top of the heap. If the heap is empty the new value becomes the root.If heap is not empty then the smaller of the two values (current value in heap and the new value) is kept in the root. The larger of the two values is added the sub-heap with the smallest height. If both sub-heaps have the same height then the larger of the two values is added to the left heap. The process is repeated until a value is added to a new node at the bottom of the
heap.
I know the logic but dont know how to Implement it.Can someone help me with the code.