Description
You are given a nested list of integers nestedList
. Each element is either an integer or a list whose elements may also be integers or other lists. Implement an iterator to flatten it.
Implement the NestedIterator
class:
NestedIterator(List<NestedInteger> nestedList)
Initializes the iterator with the nested listnestedList
.int next()
Returns the next integer in the nested list.boolean hasNext()
Returnstrue
if there are still some integers in the nested list andfalse
otherwise.
Your code will be tested with the following pseudocode:
initialize iterator with nestedList
res = []
while iterator.hasNext()
append iterator.next() to the end of res
return res
If res
matches the expected flattened list, then your code will be judged as correct.
Examples:
Example 1:
Input: nestedList = [[1,1],2,[1,1]]
Output: [1,1,2,1,1]
Explanation: By calling next repeatedly until hasNext returns false, the order of elements returned by next should be: [1,1,2,1,1].
Example 2:
Input: nestedList = [1,[4,[6]]]
Output: [1,4,6]
Explanation: By calling next repeatedly until hasNext returns false, the order of elements returned by next should be: [1,4,6].
Solution in Python
To implement the NestedIterator
class, we need to flatten a nested list of integers or other lists into a sequence of integers. The class should allow iterating over this flattened sequence using the next()
and hasNext()
methods.
Key Points:
- Input Structure: The input consists of a list (
nestedList
) where each element is either an integer or another nested list. - Flattening Logic: We must process each element in the list and recursively explore nested lists to retrieve all integers in a flattened manner.
- Iterator Interface: The
next()
method returns the next integer in the flattened structure, whilehasNext()
checks if there are any more integers left to return.
Approach:
We can approach the problem by using a stack:
- Initialization:
- We push elements from the
nestedList
onto the stack in reverse order. This allows us to pop elements in the correct sequence when we process them. - If the element is a list, we recursively expand and flatten it.
- We push elements from the
- hasNext():
- This method checks whether the top of the stack is an integer. If it is not, it processes the top element until an integer is found.
- next():
- This method returns the next integer. Before calling
next()
,hasNext()
should always ensure that there is a valid integer at the top of the stack.
- This method returns the next integer. Before calling
Python
class NestedIterator:
def __init__(self, nestedList: [NestedInteger]):
# Use a stack to simulate the recursion and flatten the list
self.stack = nestedList[::-1] # Initialize the stack with the reversed nested list
def next(self) -> int:
# Assuming that hasNext has already been called to ensure there is a next integer
return self.stack.pop().getInteger() # Pop the top element and return the integer
def hasNext(self) -> bool:
# Loop until we find an integer on top of the stack or the stack is empty
while self.stack:
top = self.stack[-1] # Peek at the top element of the stack
if top.isInteger(): # If the top element is an integer, we are ready for next()
return True
else:
# The top element is a list, pop it and push its contents onto the stack
self.stack.pop()
self.stack.extend(top.getList()[::-1]) # Add the elements of the list in reverse order
return False # If stack is empty, return False
Detailed Explanation:
__init__(self, nestedList)
:- The constructor initializes the stack with the input
nestedList
, but it reverses the order because a stack is Last-In-First-Out (LIFO). By reversing the list, the left-most elements will be processed first.
- The constructor initializes the stack with the input
next(self)
:- This method assumes that
hasNext()
has been called, and the top of the stack is guaranteed to be an integer. It pops the integer from the stack and returns it.
- This method assumes that
hasNext(self)
:- This method ensures that the next element in the stack is an integer.
- If the top element of the stack is a list, it pops the list, expands it, and pushes its elements onto the stack in reverse order (so that the left-most element is processed first).
- The loop continues until an integer is found at the top or the stack becomes empty. If there is no integer left, it returns
False
.
Solution in C++
C++
class NestedIterator {
private:
stack<NestedInteger> st; // Stack to hold the nested structure
public:
// Constructor that initializes the iterator with the nested list
NestedIterator(vector<NestedInteger> &nestedList) {
// Push all elements from the nestedList to the stack in reverse order
// because stacks are LIFO (Last In First Out).
// We want to process the elements in their original order.
for (int i = nestedList.size() - 1; i >= 0; --i) {
st.push(nestedList[i]);
}
}
// Returns the next integer in the flattened list
int next() {
// First, ensure there is a next element available by flattening the structure
if (!hasNext()) {
throw runtime_error("No more elements");
}
// Once we have a guaranteed integer at the top of the stack, we can return it
int result = st.top().getInteger();
st.pop(); // Remove it from the stack
return result;
}
// Returns true if there are more integers to iterate over
bool hasNext() {
// We need to flatten the stack until we find an integer at the top
while (!st.empty()) {
NestedInteger current = st.top(); // Get the current top element
if (current.isInteger()) {
return true; // Found an integer, stop flattening
}
// If it's a list, pop it and push its elements onto the stack
st.pop();
const vector<NestedInteger> &nestedList = current.getList();
// Push the elements of the list in reverse order onto the stack
for (int i = nestedList.size() - 1; i >= 0; --i) {
st.push(nestedList[i]);
}
}
return false; // No more integers available
}
};
Solution in Javascript
JavaScript
var NestedIterator = function(nestedList) {
// Initialize a stack to simulate the recursive traversal
// Flatten the list by reversing it to process elements from left to right
this.stack = [];
this.flattenList(nestedList);
};
NestedIterator.prototype.flattenList = function(nestedList) {
// Loop through the list in reverse order to process left to right
for (let i = nestedList.length - 1; i >= 0; i--) {
this.stack.push(nestedList[i]);
}
};
NestedIterator.prototype.hasNext = function() {
// Ensure the top of the stack is an integer, flatten if necessary
while (this.stack.length > 0) {
let top = this.stack[this.stack.length - 1];
// If the top of the stack is an integer, return true
if (top.isInteger()) {
return true;
}
// If the top is a list, pop it and flatten it
this.stack.pop();
this.flattenList(top.getList());
}
// No elements left
return false;
};
NestedIterator.prototype.next = function() {
// Since hasNext() ensures that the top is an integer, just pop and return it
return this.stack.pop().getInteger();
};
Solution in Java
Java
public class NestedIterator implements Iterator<Integer> {
// Use a stack to simulate recursion and keep track of where we are in the nested list
private Stack<NestedInteger> stack;
// Constructor initializes the stack with the nested list
public NestedIterator(List<NestedInteger> nestedList) {
// Initialize the stack and push all elements of the nested list in reverse order
// This is done to process the first element at the top of the stack
stack = new Stack<>();
for (int i = nestedList.size() - 1; i >= 0; i--) {
stack.push(nestedList.get(i));
}
}
// Returns the next integer in the flattened structure
@Override
public Integer next() {
// Call hasNext to make sure the stack is in the correct state
if (hasNext()) {
return stack.pop().getInteger(); // Return the integer at the top of the stack
}
return null; // This case should not be reached if hasNext is used properly
}
// Checks if there is a next integer to return
@Override
public boolean hasNext() {
// We flatten the list by processing the stack until we reach an integer
while (!stack.isEmpty()) {
NestedInteger top = stack.peek();
if (top.isInteger()) {
return true; // If the top is an integer, we are ready to return it
}
// If the top is a list, pop it and push its contents in reverse order onto the stack
stack.pop();
List<NestedInteger> topList = top.getList();
for (int i = topList.size() - 1; i >= 0; i--) {
stack.push(topList.get(i));
}
}
return false; // If the stack is empty, there are no more integers
}
}