Problem A
Chord Detection

In music, a chord is a set of different notes played simultaneously. In this problem, your task is to determine what chord is played given a set of notes.

For simplicity, we name the 12 notes of the normal chromatic scale C, C#, D, D#, E, F, F#, G, G#, A, A# and B in increasing order of frequency. When played in music, these notes are cyclical. The next 12 notes are thus called the same, so that the notes after B is again called C, C# and so on, but played at double the frequency.

There are many different kinds of chords in music. The most basic of them is called a major chord. It consists of three notes: first a base note $x$, followed by the 4’th note after that, followed by the 3’rd note after that. This is called the $x$ major chord. For example, the C major chord consists of the notes C, E and G. Remember that the notes act cyclically. Therefore, A major consists of A, D (skipping A#, C, C#) and F (skipping D#, E).

It can be shown that three tones never form two different chords, even if one changes their order. Thus, one may say that the notes E, G and C also form the C major chord.

Given the names of three tones, determine if it they form a major chord, and if so, which one.

Input

The input consists of three lines, each containing the name of a note. All notes will have different names.

Output

If the three notes in the input constitute a major chord, output x major, where $x$ is the base note of the chord.

Otherwise, output not a chord.

C
E
G

C major

G
C
E

C major

A
B
C

not a chord

F
A
C

F major