Write a program to tell if a sequence of integer numbers is uniform, strictly increasing, strictly decreasing, increasing, decreasing or none of those.
Input
Input consists of a sequence of integer numbers.
Output
If all the numbers are equal, print “uniform”. Otherwise, if the sequence is strictly increasing or strictly decreasing, tell so. If none of the previous conditions are fulfilled, print “increasing”, “decreasing”, or “nothing” as required.
Input
2 3 5 7
Output
strictly increasing
Input
10 0 -5
Output
strictly decreasing
Input
4
Output
uniform
Input
1 2 4 4
Output
increasing