Problem D: QR Code Caching

## Problem D: QR Code Caching

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 218  Solved: 60
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## Description

Cache is an important concept in Computer Organization (CS202). The original meaning of cache is a kind of high-speed memory whose access speed is faster than general random access memory (RAM). Generally, it does not use DRAM technology as systems main memory, but uses expensive but faster SRAM technology. The setting of cache is one of the most important factors for all modern computer systems to achieve high performance. A hit means the queried item is already in cache before the query reaches while a miss means the item is not in cache and after the query it will be stored in cache. The cache have a cache size C. When a cache store items more than C, it will adopt Least-Recently-Used (LRU) algorithm to replace item stored in cache. Here we simplify the concept, a cache can store at most k items. When the cache is full and a new item need to store in cache, it will replace the item that is last recently used.

QR code, full name quick response code, is a super popular coding method on mobile devices in recent years. It can store more information than the traditional bar code barcode, and can also represent more data types. To simplify the problem, We assume QR code is a 16*16 matrix contains only 0 and 1.

Now the question is coming. Dateri is going to deal with n QR codes and he have a cache size k. For each query QR code, he wants to know whether the query is hit or miss.

## Input

First line contains two integer n ( 1 < n <= 1000 ) and k ( 1 <= k <= n ).

Continue with n query, each query contains a 16*16 matrix which consist of 0 and 1.

## Output

For each query, outputs whether hit or miss.

## Sample Input

6 2

1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1
1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0
1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1
1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0
0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0
1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0
0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1
0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0
1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1
1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1
0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1
0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1
0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0
0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1
0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0
0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1
1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0
1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1
1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0
0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0
1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0
0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1
0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0
1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1
1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1
0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1
0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1
0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0
0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1
0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0
0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0

0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1
0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0
0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1
1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

## Sample Output

miss
miss
hit
miss
miss
hit


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