Google Interview Question for Technical Support Engineers


Country: United States
Interview Type: Phone Interview




Comment hidden because of low score. Click to expand.
1
of 1 vote

Use Topological sort

- guilhebl May 02, 2018 | Flag Reply
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0
of 0 vote

Here's a DFS approach with time O(N^2) and space O(N^2)

1) define a class Task { public: string name; bool finished; }
2) create auxillary vector<Task> for each task
3)
for each task in auxillary array:
  push task on stack<Task&>
  if has dependency, push them on stack
    - Note: have to check for circular dependency and can have up to N-1 dependency
                so space can grow to O(N^2) in worst case
4)
while stack not empty:
  pop top
  if Task.finished == false:
    Task.finished = true
    execute(Task)

- quangvuwpi May 10, 2018 | Flag Reply
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0
of 0 vote

Consider this as a directed graph and traverse the graph using Breadth First/Depth First. I prefer Breadth first.
- While traversing, create a dictionary to store the count of adjacent vertices to each vertex
adj(a) = 2
adj(b) = 2
adj(c) = 0
adj(d) = 1
- Set prevNode = null
- Get the nodes with minimum value in dictionary and set that as start node -- node c
- Choose the one that includes prevNode or pick one if prevNode == null
- Store it in a list
- Keep on looping and you will get the order
- Print the list

- GeekLion May 14, 2018 | Flag Reply
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0
of 0 vote

Its simple,do a topological sorting of the vertices

- Anonymous May 18, 2018 | Flag Reply
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0
of 0 vote

#include <iostream>
#include <map>
using namespace std;

void insertTask(map<char,int>& m, char lowTask, char highTask){
    m[highTask] += m[lowTask]+1;

}

map<int,char> toRankedMap(map<char,int> m){
    map<int,char> rankedMap;
    for(auto it : m){
        rankedMap[it.second] = it.first;
    }
    return rankedMap;
}

int main()
{
    map<char,int> tempMap;

    insertTask(tempMap,'A','B');    //A <- B
    insertTask(tempMap,'A','C');    //A <- C

    insertTask(tempMap,'B','C');    //B <- C
    insertTask(tempMap,'B','D');    //B <- D

    insertTask(tempMap, 'D', 'C');  //D <- C

    auto rankedMap = toRankedMap(tempMap);

    for(map<int,char>::reverse_iterator rit = rankedMap.rbegin(); rit != rankedMap.rend(); ++rit){
        cout << rit->second << " < ";
    }

    return 0;
}

Output:

C < D < B < A <

Process returned 0 (0x0) execution time : 0.015 s
Press any key to continue.

- Gabriel Feyer May 19, 2018 | Flag Reply
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0
of 0 vote

The way I came up with, you invert the vertices of the graph, and then do a depth first search. I used integers instead of letters, but the point is the same. This is just a dfs with tracking the path, so it should compute in O(log(V +E))

class Graph:
    def __init__(self, V):
        self.V = V
        self.graph = defaultdict(list)
        self.invgraph = defaultdict(list)


    def addEdgeDirected(self, start, end):
        self.graph[start].append(end)
        self.invgraph[end].append(start)

	def nonRecDFSInv(self, start):
        visited = [False for _ in range(self.V)]
        stack = []
        stack.append(start)

        path = []

        while stack:
            current = stack.pop()
            if not visited[current]:
                visited[current] = True
                path.append(current)

            for neighbor in self.invgraph[current]:
                if not visited[neighbor]:
                    stack.append(neighbor)

        return path
g = Graph(4)
g.addEdgeDirected(0,1)
g.addEdgeDirected(0,2)
g.addEdgeDirected(1,2)
g.addEdgeDirected(1,3)
g.addEdgeDirected(3,2)

print(g.nonRecDFSInv(3))

Output:
[2, 3, 1, 0]

- anon September 08, 2022 | Flag Reply


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