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Treap
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==== Addition/painting in a given range ==== To perform this operation we will proceed as follows: * We will create an extra field D which will contain the added value for the subtree. We will create a function '''''push''''' which will be used to propagate this change from a node to its children. We will call this function at the beginning of all functions which modify the tree, ''i.e.'', split and join so that after any changes made to the tree the information will not be lost.
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