Problem D. Ice Cream Tower (The 2016 ACM-ICPC Asia China-Final Contest)(二分)

该博客介绍了一个关于冰淇淋塔的问题,其中涉及到利用二分查找算法来确定最多可以构建多少个符合规则的冰淇淋塔。题目要求每座塔的底层冰淇淋球体积至少是上层的两倍,且每座塔至少包含k个球。给出的样例输入和输出展示了不同测试用例的处理结果。博主解析了问题的思路,即对答案进行二分搜索,并按体积排序选择冰淇淋球,确保每座塔的构建满足条件。

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Input file: Standard Input
Output file: Standard Ouptut
Time limit: 6 seconds

Mr. Panda likes ice cream very much especially the ice cream tower. An ice cream tower consists
of K ice cream balls stacking up as a tower. In order to make the tower stable, the lower ice cream
ball should be at least twice as large as the ball right above it. In other words, if the sizes of the
ice cream balls from top to bottom are A0, A1, A2, · · · , AK−1, then A0 × 2 ≤ A1, A1 × 2 ≤ A2,
etc.
One day Mr. Panda was walking along the street and found a shop selling ice cream balls. There
are N ice cream balls on sell and the sizes are B0, B1, B2, · · · , BN−1. Mr. Panda was wondering
the maximal number of ice cream towers could be made by these balls.
Input
The first line of the input gives the number of test cases, T. T test cases follow. Each test
case starts with a line consisting of 2 integers, N the number of

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