356. Rainfall Statistics

EasyAggregation

Given daily rainfall (mm), print the total, the average with two decimals, the 1-based day of maximum rainfall (first if tied) and the number of dry days (0 mm).

Input format

Line 1: n Line 2: n non-negative integers

Output format

total average maxDay dryDays

Example 1

Input

7
0 12 5 0 30 30 2

Output

79 11.29 5 2

Example 2

Input

1
0

Output

0 0.00 1 1

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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