I have an array that represents a Max Heap. For example
84 81 41 79 17 38 33 15 61 6
so the root is max. Each mid tier node at index i can have at most two children. They would be at 2*i+1 and 2*i+2.
How can i print this heap out in a level by level fashion? like
84(0)
81(1) 41(2)
79(3) 17(4) 38(5) 33(6)
15(7) 61(8) 6(9)
the index of each element in the array is shown in paranthesis for clarification. i dont have to print the index. I was thinking it would be similar to printing a BST in level order but here, the heap is stored in an array not a list which makes it a bit tricky!
The existing solutions didn't work for me so here's slightly different way of doing it that I think is also more human readable. Additionally, this doesn't use any external libraries. Note that this assumes that the first spot of the array is null, because often array-based heaps skip the array[0]. This will automatically determine the number of levels based on the input size which should be the number of nodes in the heap. It will add --
in every spot that is empty (e.g. if you have a 13-node heap the last two nodes will show up as empty).
private void printHeap(int[] heap, size) {
int maxDepth = (int) (Math.log(size) / Math.log(2)); // log base 2 of n
StringBuilder hs = new StringBuilder(); // heap string builder
for(int d = maxDepth; d >= 0; d--) { // number of layers, we build this backwards
int layerLength = (int) Math.pow(2, d); // numbers per layer
StringBuilder line = new StringBuilder(); // line string builder
for(int i = layerLength; i < (int) Math.pow(2, d + 1); i++) {
// before spaces only on not-last layer
if(d != maxDepth) {
line.append(" ".repeat((int) Math.pow(2, maxDepth - d)));
}
// extra spaces for long lines
int loops = maxDepth - d;
if(loops >= 2) {
loops -= 2;
while(loops >= 0) {
line.append(" ".repeat((int) Math.pow(2, loops)));
loops--;
}
}
// add in the number
if(i <= size) {
line.append(String.format("%-2s", heap[i])); // add leading zeros
} else {
line.append("--");
}
line.append(" ".repeat((int) Math.pow(2, maxDepth - d))); // after spaces
// extra spaces for long lines
loops = maxDepth - d;
if(loops >= 2) {
loops -= 2;
while(loops >= 0) {
line.append(" ".repeat((int) Math.pow(2, loops)));
loops--;
}
}
}
hs.insert(0, line.toString() + "\n"); // prepend line
}
System.out.println(hs.toString());
}
Example input:
int[] heap = new int[]{0, 84, 81, 41, 79, 17, 38, 33, 15, 61, 6};
int size = heap.length-1 = 10
Example output:
84
81 41
79 17 38 33
15 61 6 -- -- -- -- --
You should be able to fairly easily change this to work as a toString method instead if necessary. The spacing will have to be modified if you want to use 3-digit numbers, if someone requests it I can edit with modified code for that.
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