A non-empty zero-indexed array A consisting of N integers is given.

The leader of this array is the value that occurs in more than half of the elements of A.

An equi leader is an index S such that 0 ≤ S < N − 1 and two sequences A, A, …, A[S] and A[S + 1], A[S + 2], …, A[N − 1] have leaders of the same value.

For example, given array A such that:

A = 4
A = 3
A = 4
A = 4
A = 4
A = 2


we can find two equi leaders:

0, because sequences: (4) and (3, 4, 4, 4, 2) have the same leader, whose value is 4. 2, because sequences: (4, 3, 4) and (4, 4, 2) have the same leader, whose value is 4. The goal is to count the number of equi leaders.

Write a function:

def solution(A)


that, given a non-empty zero-indexed array A consisting of N integers, returns the number of equi leaders.

For example, given:

A = 4
A = 3
A = 4
A = 4
A = 4
A = 2


the function should return 2, as explained above.

Assume that:

• N is an integer within the range [1..100,000];
• each element of array A is an integer within the range [−1,000,000,000..1,000,000,000].

Complexity:

• expected worst-case time complexity is O(N);
• expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).

# Answer Code in Python 3

• Time complexity: $O(N)$
# Time complexity: O(n)
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")

def solution(A):
# write your code in Python 3.6
candidate = None
candidate_length = 0
for i in range(len(A)):
if candidate_length == 0:
candidate_length += 1
candidate = A[i]
else:
if candidate != A[i]:
candidate_length -= 1
else:
candidate_length += 1

if num_leader <= len(A) // 2: return 0

equi = 0
for i in range(0, len(A)-1):