Infinite loop

It’s possible to “break out” of the infinite loop with break as well:

while True:
    n = int(input())
    print('The input was:', n)
    if n == -1:
        break

print('End of the program!')

Input

Output

10
20
16
8
0
2
-1

The input was: 10
The input was: 20
The input was: 16
The input was: 8
The input was: 0
The input was: 2
The input was: -1

As soon as the inputted number is -1, the program stops the loop. We can break the loop at an appropriate time to stop the program from executing an unwanted thing for specific input.

Challenge

Given a sequence of integers, we are interested in how many times is the largest number in the sequence repeated.

The sequence is given as a stream of integers, and the sequence is terminated as soon as the inputted number is equal to 0. The rest of the input should be ignored.

The program should output a single integer - the number of times the maximum element in the sequence is repeated.

Input

Output

5
5
1
1
5
3
0
9
11
4
5

3

Explanation: The largest number is 5 and it appears 3 times before the sequence is terminated.

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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