DWITE '10 R1 #3 - Power tiles

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Points: 5
Time limit: 2.0s
Memory limit: 64M

Problem type
DWITE Online Computer Programming Contest, October 2010, Problem 3

You are given a rectangular floor that is to be tiled with square tiles. The tiles come in a variety of sizes, but they all measure in some power of two: 1, 2, 4, 8, etc. A 5 \times 6 space can be tiled with 30 of the smallest tile, but the minimum number of tiles required is only 9. Refer to the pattern below.

The input will contain 5 lines, a pair of integers 1 \le N, M \le 10\,000, separated by a space.

The output will contain 5 lines, the minimum number of tiles necessary to exactly cover the N by M space.

Sample Input

10 5
1000 1001
21 13
9999 888
345 1277

Sample Output

14
1358
42
4065
2046

Problem Resource: DWITE

Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported

Comments


  • 2
    Plasmatic  commented on Aug. 22, 2018, 10:15 p.m.

    y'all and your fancy recursion solutions :v :v