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++