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.

Public test cases

**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

Information

- Author
- Salvador Roura
- Language
- English
- Translator
- Carlos Molina
- Original language
- Catalan
- Other languages
- Catalan
- Official solutions
- C++
- User solutions
- C++