Running Maximum Array
Build the running maximum of an array.
Input format
The first line contains N. The second line contains N space-separated integers.
Output format
Print the resulting array as space-separated integers on one line. Element i is the maximum of the input values from index 0 through i.
Constraints
- Values fit in a 64-bit signed integer
- Trailing whitespace and a trailing newline are ignored by the judge
Read from stdin, write to stdout. Sample cases below show the exact format.
Sample cases
Example 1
Input
5
3 1 4 1 5Expected output
3 3 4 4 5Example 2
Input
4
10 20 30 40Expected output
10 20 30 40