Tower Building Problem Statement

Given an array 'ARR' of 'N' cubes, you need to construct towers such that each cube can either be placed on top of an existing tower or start a new one. The restriction is that the top cube on a tower must be smaller than the one below it. Your task is to determine the minimum number of towers needed when processing the cubes in the given order.

Example:

Input:

N = 3, ARR = [3, 2, 1]

Output:

1

Explanation:

All cubes can be stacked into one tower where the arrangement is 3 at the bottom, 2 in the middle, and 1 on top.

Input:

The first line contains an integer 'T', the number of test cases. Each test case starts with an integer 'N', indicating the number of cubes, followed by 'N' space-separated integers representing the elements of the array 'ARR'.

Output:

For each test case, print a single integer on a new line indicating the minimum possible number of towers.

Constraints:

1 ≤ T ≤ 5

1 ≤ N ≤ 2000

1 ≤ ARR[i] ≤ 2000

Time limit: 1 second.

Note:

No need to handle input/output. Focus on implementing the function to return the result.

Question

Tower Building Problem Statement

Given an array 'ARR' of 'N' cubes, you need to construct towers such that each cube can either be placed on top of an existing tower or start a new one. The restriction is that the top cube on a tower must be smaller than the one below it. Your task is to determine the minimum number of towers needed when processing the cubes in the given order.

Example:

Input:

N = 3, ARR = [3, 2, 1]

Output:

Explanation:

All cubes can be stacked into one tower where the arrangement is 3 at the bottom, 2 in the middle, and 1 on top.

Input:

The first line contains an integer 'T', the number of test cases. Each test case starts with an integer 'N', indicating the number of cubes, followed by 'N' space-separated integers representing the elements of the array 'ARR'.

Output:

For each test case, print a single integer on a new line indicating the minimum possible number of towers.

Constraints:

1 ≤ T ≤ 5
1 ≤ N ≤ 2000
1 ≤ ARR[i] ≤ 2000

Time limit: 1 second.

Note:

No need to handle input/output. Focus on implementing the function to return the result.

Accepted Answer

The task is to determine the minimum number of towers needed to stack cubes in a specific order.

Iterate through the array of cubes and maintain a stack to keep track of towers.
For each cube, check if it can be placed on an existing tower or start a new one.
Update the stack based on the cube's size and count the number of towers needed.
Return the minimum number of towers required.
Example: For input N = 3, ARR = [3, 2, 1], the output should be 1.

Accepted Answer

#arr = [4,5,1,2], n = len(arr)
ans = 0
for i in range(0,n):
    if arr[i] < arr[i+1] :

           i +=1

    if arr[i] > arr[i+1] or i == n-1 :

         ans +=1

         i +=1

return ans