have a card deck of n cards, numbered through and through, I. e. the top card has list 1 and base card — file n. Each card has its tone: the I-th card has shading artificial intelligence.    You should handle q inquiries. The j-th inquiry is depicted by integer tj. For each inquiry you ought to:

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 You have a card deck of n cards, numbered through and through, I. e. the top card has list 1 and base card — file n. Each card has its tone: the I-th card has shading artificial intelligence

 

You should handle q inquiries. The j-th inquiry is depicted by integer tj. For each inquiry you ought to: 

 

track down the most elevated card in the deck with shading tj, I. e. the card with least list; 

 

print the situation of the card you found; 

 

assume the card and position it on top of the deck. 

 

Input 

 

The primary line contains two integers n and q (2≤n≤3⋅105; 1≤q≤3⋅105) — the number of cards in the deck and the number of questions. 

 

The subsequent line contains n integers a1,a2,… ,an (1≤ai≤50) — the shades of cards. 

 

The third line contains q integers t1,t2,… ,tq (1≤tj≤50) — the inquiry tones. It's reliable that inquiries ask just shadings that are available in the deck. 

 

Output 

 

Print q integers — the responses for each inquiry

 

 

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