When it gets popped,Ħ was inserted and it breaks the monotonic property, but every insertion before did notīreak the property for 3.
Property, so if a particular item didn't get popped this way, it is because the monotonic propertyįor example, in the example above, consider the number 3 at index 0. Get popped during the insertion always sorted because the insertion breaks the monotonic You know the entries in the stack/deque is sorted. There are a few interesting properties of a monotonic stack/deque that we can utilize inīy definition, the monotonic property of this data structure is always maintained, so The values of the elements are either monotonically increasing or decreasing. The indices of the elements in the monostack are always increasing. This is because we can always look up the value from the original array and by storing the indices we can calculate the distance between elements in the original array.Ī monostack stores both the position and value. Note that when we use monotonic stack to solve real interview problems, we often store the index of the element in the stack isntead of value.
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