Gahee and Club Audition 1

Gahee plays a club audition game. The game has several modes, and Gahee plays the 8-key mode. The 8-key mode has key notes with level 6 or higher. A key note of level $lv$ has $lv$ keys. Each key points in one of 8 directions: up, down, left, right, up-left, down-left, up-right, or down-right.

[Figure 1] A key note of level 6

[Figure 1] has four pictures. Yellow marks a key that has already been pressed, and blue marks a key that must be pressed. For example, the upper right picture in Figure 1 means the keys must be pressed in the order down-left, right, up-right, down.

The upper left picture in the first row shows the moment right after a level 6 key note appears. The upper right picture shows the state 1/4 of the timing after the note appears. The lower left picture shows the state 1/2 of the timing after the note appears, and by then all six keys have been pressed. The lower right picture shows Gahee pressing the Space key on the timing and earning a perfect judgement.

Each key note receives a judgement. Two cases produce a miss judgement:

• Fewer than $lv$ directions were entered correctly.
• The Space key was not pressed, or it was pressed but the timing was off.

Otherwise, the judgement is one of bad, cool, great, or perfect. A perfect judgement also has one more state, the $n$-chain (n-pack). The $n$-chain is the state of receiving $n$ perfect judgements in a row. When a key note gets a perfect judgement:

• If the previous judgement was not perfect, the state is a 1-chain.
• If the previous judgement was perfect and the state was a $k$-chain, the state becomes a $(k+1)$-chain.

The score for a key note of level $lv$ depends on its judgement:

• miss gives 0 points.
• bad gives $200$ times $lv$ points.
• cool gives $400$ times $lv$ points.
• great gives $600$ times $lv$ points.
• perfect in an $n$-chain gives $n \cdot lv$ times $1\,000$ points.

The level $lv$ and the judgement of a key note that Gahee hit are given. Find the score Gahee earned when the judgement is different from the one Gahee received before.

The first line contains the level $lv$ of the key note and the judgement, separated by a space. The judgement is one of miss, bad, cool, great, or perfect.

Print the score Gahee earned.

• $6 \le lv \le 11$