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Q1Solution : 

class Solution(object):

    def canMakeEqual(self, elements, limit):

        def requiredOperations(desired):

            sequence = elements[:]  # Copy original list

            operations = 0

            for index in range(len(sequence) - 1):

                if sequence[index] != desired:

                    sequence[index] *= -1

                    sequence[index + 1] *= -1

                    operations += 1

            return operations if sequence[-1] == desired else float('inf')

        

        return min(requiredOperations(1), requiredOperations(-1)) <= limit

Q2 Solution  : 

class Solution(object):

    def countPermutations(self, levels):

        """

        :type levels: List[int]

        :rtype: int

        """

        MODULUS = 10**9 + 7

        size = len(levels)

        base_val = levels[0]

        for element in levels[1:]:

            if element <= base_val:

                return 0

        result = 1

        for number in range(1, size):

            result = (result * number) % MODULUS

        return result

Q3 Solution : 

class Solution(object):

def countPartitions(self, arr, threshold):

length = len(arr)

MOD_CONST = 10**9 + 7

dp = [0] * (length + 1)

prefix_sum = [0] * (length + 2)

dp[0] = 1

prefix_sum[1] = 1

from collections import deque

min_deque, max_deque = deque(), deque()

left_ptr = 0

for right_ptr in range(1, length + 1):

current_idx = right_ptr - 1

while max_deque and arr[max_deque[-1]] <= arr[current_idx]:

max_deque.pop()

max_deque.append(current_idx)

while min_deque and arr[min_deque[-1]] >= arr[current_idx]:

min_deque.pop()

min_deque.append(current_idx)

while arr[max_deque[0]] - arr[min_deque[0]] > threshold:

left_ptr += 1

if max_deque[0] < left_ptr:

max_deque.popleft()

if min_deque[0] < left_ptr:

min_deque.popleft()

curr_val = (prefix_sum[right_ptr] - prefix_sum[left_ptr] + MOD_CONST) % MOD_CONST

dp[right_ptr] = curr_val

prefix_sum[right_ptr + 1] = (prefix_sum[right_ptr] + dp[right_ptr]) % MOD_CONST

return dp[length]

Q4 Solution : 

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