Write a program to tell if a sequence of integer numbers is uniform, strictly increasing, strictly decreasing, or none of those.

Input

Input consists of a sequence of, at least, two integer numbers.

Output

Your program must print “uniform”, “strictly increasing”, “strictly 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 4

**Output**

uniform

**Input**

1 2 4 4

**Output**

nothing

Information

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