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[LinkedIn] Sum of Integer Weighted by Depth

Question

link

/** 
* Given a nested list of integers, returns the sum of all integers in the list weighted by their depth 
* For example, given the list {(1,1),2,(1,10)} the function should return 10 (four 1's at depth 2, one 2 at depth 1) 
* Given the list {1,{4,{6}}} the function should return 27 (one 1 at depth 1, one 4 at depth 2, and one 6 at depth 3) 
*/ 
public int depthSum (List<NestedInteger> input) 
{ // ur implementation here} 


** 
* This is the interface that represents nested lists. 
* You should not implement it, or speculate about its implementation. 
*/ 
public interface NestedInteger 
{ 
/** @return true if this NestedInteger holds a single integer, rather than a nested list */ 
boolean isInteger(); 

/** @return the single integer that this NestedInteger holds, if it holds a single integer 
* Return null if this NestedInteger holds a nested list */ 
Integer getInteger(); 

/** @return the nested list that this NestedInteger holds, if it holds a nested list 
* Return null if this NestedInteger holds a single integer */ 
List<NestedInteger> getList(); 
}

Solution

DFS recurse.

Code

The algo:

public int depthSum(List<NestedInteger> input, int weight) {
    // ur implementation here
    int sum = 0;
    for (NestedInteger ni : input) {
        if (ni.isInteger()) {
            sum += ni.getInteger() * weight;
        } else {
            sum += depthSum(ni.getList(), weight + 1);
        }
    }
    return sum;
}

Interface and Impl:

/*
 * This is the interface that represents nested lists. You should not implement
 * it, or speculate about its implementation.
 */
interface NestedInteger {
    /**
     * @return true if this NestedInteger holds a single integer, rather than a
     *         nested list
     */
    boolean isInteger();

    /**
     * @return the single integer that this NestedInteger holds, if it holds a
     *         single integer Return null if this NestedInteger holds a nested
     *         list
     */
    Integer getInteger();

    /**
     * @return the nested list that this NestedInteger holds, if it holds a
     *         nested list Return null if this NestedInteger holds a single
     *         integer
     */
    List<NestedInteger> getList();
}

class NestedIntegerImpl implements NestedInteger {

    int num;
    List<NestedInteger> list = new ArrayList<NestedInteger>();

    public NestedIntegerImpl(int number) {
        num = number;
        list = null;
    }

    public NestedIntegerImpl(List<NestedInteger> inputList) {
        num = -1;
        list = inputList;
    }

    @Override
    public boolean isInteger() {
        return list == null;
    }

    @Override
    public Integer getInteger() {
        if (isInteger()) {
            return num;
        }
        return -1;
    }

    @Override
    public List<NestedInteger> getList() {
        return list;
    }
}