On the following keyboard - with layout as is common in the United States - the thick black line indicates which buttons are pressed with the left and which with the right one. The state of Texas is the only American state that you can type completely with your left hand on this keyboard, and the state of Ohio is the only one you can fully type with your right hand.

Based on this keyboard layout we divide words into the following four classes:

• left-handed: words you can completely type with you left hand

• right-handed: words you can completely type with you right hand

• two-handed: words of which you can type the first or last letters with the one hand and the other letters with the other hand

• no-handed: words not belonging to any of the previous classes

With this format, we do not distinguish between uppercase and lowercase letters, and only the letters of the word will be charged (all other characters are ignored).

Input

A single line that contains a word.

Output

The class to which the word from the input belongs: left-handed, right-handed, two-handed or no-handed.

Example

Input:

Texas

Output:

left-handed

Example

Input:

Ohio

Output:

right-handed

Example

Input:

millimetres

Output:

two-handed

Example

Input:

WEDNESDAY

Output:

no-handed