Assume you are using a backtracking algorithm to search for the node 40 in the max heap represented by the array 100, 50, 60, 40, 10, 20, 30.  Assuming that you search from the root of the heap downwards recursively, which of the following is a valid order in which the nodes could have been first visited? 30, 20, 10, 40 100, 50, 60, 10, 30, 40 100, 60, 30, 20, 50, 10, 40 100, 60, 50, 30, 20, 10, 40 100, 60, 30, 20, 10, 40   Assume you are using a backtracking algorithm to search for the node 40 in the max heap represented by the array 100, 50, 60, 40, 10, 20, 30. What is the minimum number of nodes that must be searched in order to find the node 30? 1 5 6 3 4   Assume you have the following backtracking algorithm for finding a way to a desired location in a city organized in a grid as represented by the image. What is the problem with this proposed algorithm? Bool SearchCity(currentLocation,, desiredLocation, stepsToLocation) {     If(currentLocation == desiredLocation) {     Return true; } potentialSteps = new Stack(); if (NotBlocked(RightLocation)) { //location to the right of where I am facing     potentialSteps.Push(RightLocation); }     If (NotBlocked(ForwardLocation)) { //Location forward of where I am facing         potentialSteps.Push(forwardLocation) } If (NotBlocked(LeftLocation)) { //Location to the left of where I am facing     potentialSteps.Push(leftLocation) } While(NotEmpty(potentialSteps)) {     nextLocation = potentialSteps.Pop();     stepsToLocation.Add(nextLocation)     if(SearchCity(nextLocation, desiredLocation, stepsToLocation) == true) {     return true; }     stepsToLocation.RemoveLast() } Return false; } It does not return to previous locations after a dead end It will always go forward It will never take the right path It can be caught in an infinite loop by always going right first It does not check if a direction is blocked   What is a potential solution to the problem in the  previous question? Check if the current location is the destination Add the backwards location to the stack of locations to visit Do not visit a location contained in stepsToLocation Replace the stack with a Queue Only add either the left or right destinations as candidates   Assuming the above algorithm is fixed, which of the following would improve its performance in finding a desired location? Always checking the forward direction first before the other directions Checking if the next location is the destination before making the recursive call Choosing candidate locations that are closest to the destination first Randomly selecting from the next possible locations Rotating which direction is to be searched first in a fixed order

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Assume you are using a backtracking algorithm to search for the node 40 in the max heap represented by the array 100, 50, 60, 40, 10, 20, 30.  Assuming that you search from the root of the heap downwards recursively, which of the following is a valid order in which the nodes could have been first visited?

30, 20, 10, 40

100, 50, 60, 10, 30, 40

100, 60, 30, 20, 50, 10, 40

100, 60, 50, 30, 20, 10, 40

100, 60, 30, 20, 10, 40

 

Assume you are using a backtracking algorithm to search for the node 40 in the max heap represented by the array 100, 50, 60, 40, 10, 20, 30. What is the minimum number of nodes that must be searched in order to find the node 30?

1

5

6

3

4

 

Assume you have the following backtracking algorithm for finding a way to a desired location in a city organized in a grid as represented by the image. What is the problem with this proposed algorithm?



Bool SearchCity(currentLocation,, desiredLocation, stepsToLocation) {
    If(currentLocation == desiredLocation) {
    Return true;
}
potentialSteps = new Stack();
if (NotBlocked(RightLocation)) { //location to the right of where I am facing
    potentialSteps.Push(RightLocation);
}
    If (NotBlocked(ForwardLocation)) { //Location forward of where I am facing
        potentialSteps.Push(forwardLocation)
}
If (NotBlocked(LeftLocation)) { //Location to the left of where I am facing
    potentialSteps.Push(leftLocation)
}
While(NotEmpty(potentialSteps)) {
    nextLocation = potentialSteps.Pop();
    stepsToLocation.Add(nextLocation)
    if(SearchCity(nextLocation, desiredLocation, stepsToLocation) == true) {
    return true;
}
    stepsToLocation.RemoveLast()
}
Return false;
}

It does not return to previous locations after a dead end

It will always go forward

It will never take the right path

It can be caught in an infinite loop by always going right first

It does not check if a direction is blocked

 

What is a potential solution to the problem in the  previous question?

Check if the current location is the destination

Add the backwards location to the stack of locations to visit

Do not visit a location contained in stepsToLocation

Replace the stack with a Queue

Only add either the left or right destinations as candidates

 

Assuming the above algorithm is fixed, which of the following would improve its performance in finding a desired location?

Always checking the forward direction first before the other directions

Checking if the next location is the destination before making the recursive call

Choosing candidate locations that are closest to the destination first

Randomly selecting from the next possible locations

Rotating which direction is to be searched first in a fixed order   

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