UVa 79 ClockHands (water ver.)

本文深入探讨了从机械钟到现代原子钟的发展历程,包括钟表的种类、设计及其应用,特别是原子钟在时间标准领域的精确度。文章详细介绍了钟表的历史背景、类型演变,并特别聚焦于原子钟的原理、组成及其实现的高精度时间测量。

579 - ClockHands

Time limit: 3.000 seconds

http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=520

The medieval interest in mechanical contrivances is well illustrated by the development of the mechanical clock, the oldest of which is driven by weights and controlled by a verge, an oscillating arm engaging with a gear wheel. It dates back to 1386.

Clocks driven by springs had appeared by the mid-15th century, making it possible to con- struct more compact mechanisms and preparing the way for the portable clock.

English spring-driven pendulum clocks were first commonly kept on a small wall bracket and later on a shelf. Many bracket clocks contained a drawer to hold the winding key. The earliest bracket clocks, made for a period after 1660, were of architectural design, with pillars at the sides and a pediment on top.

In 17th- and 18th-century France, the table clock became an object of monumental design, the best examples of which are minor works of sculpture.

The longcase clocks (also called grandfather clocks) are tall pendulum clock enclosed in a wooden case that stands upon the floor and is typically from 6 to 7.5 feet (1.8 to 2.3 m) in height. Later, the name ``grandfather clock'' became popular after the popular song "My Grandfather's Clock," written in 1876 by Henry Clay Work.


One of the first atomic clocks was an ammonia-controlled clock. It was built in 1949 at the National Bureau of Standards, Washington, D.C.; in this clock the frequency did not vary by more than one part in 108

Nuclear clocks are built using two clocks. The aggregate of atoms that emit the gamma radiation of precise frequency may be called the emitter clock; the group of atoms that absorb this radiation is the absorber clock. One pair of these nuclear clocks can detect energy changes of one part in 1014 , being about 1,000 times more sensitive than the best atomic clock.

The cesium clock is the most accurate type of clock yet developed. This device makes use of transitions between the spin states of the cesium nucleus and produces a frequency which is so regular that it has been adopted for establishing the time standard.


The history of clocks is fascinating, but unrelated to this problem. In this problem, you are asked to find the angle between the minute hand and the hour hand on a regular analog clock. Assume that the second hand, if there were one, would be pointing straight up at the 12. Give all angles as the smallest positive angles. For example 9:00 is 90 degrees; not -90 or 270 degrees.

Input 

The input is a list of times in the form  H : M , each on their own line, with  $1 \le H \le 12$  and  $00 \le M \le 59$ . The input is terminated with the time  0:00 . Note that  H  may be represented with 1 or 2 digits (for 1-9 or 10-12, respectively);  M  is always represented with 2 digits (The input times are what you typically see on a digital clock).

Output 

The output displays the smallest positive angle in degrees between the hands for each time. The answer should between  0  degrees and  180  degrees for all input times. Display each angle on a line by itself in the same order as the input. The output should be rounded to the nearest 1/1000, i.e., three places after the decimal point should be printed.

Sample Input 

12:00
9:00
8:10
0:00

Sample Output 

0.000
90.000
175.000


完整代码:

/*0.045s*/

#include<cstdio>
#include<cmath>

int main(void)
{
	int h, m;
	while (scanf("%d:%d", &h, &m), h)
	{
		double ans = fabs(30 * h - 11.0 * m / 2);
		printf("%.3f\n", ans > 180 ? 360 - ans : ans);
	}
	return 0;
}


### GIB-UVA ERP-BCI HDF5 文件格式及其处理方法 HDF5 是一种用于存储大量科学数据的文件格式,广泛应用于神经科学研究领域。对于 GIB-UVA ERP-BCI 数据集中的 HDF5 文件,通常包含了脑电图(EEG)信号以及其他元数据信息。以下是关于该类文件的一些重要细节以及如何对其进行处理的方法。 #### 1. HDF5 文件结构概述 HDF5 文件是一种分层的数据存储格式,类似于文件系统的目录树结构。它支持多种数据类型,包括数组、表格和字符串等。在 GIB-UVA ERP-BCI 的上下文中,这些文件可能包含以下内容: - **实验记录**:如时间戳、采样率和其他实验参数。 - **原始 EEG 数据**:多通道的时间序列数据。 - **事件标记**:表示刺激呈现或其他行为事件的时间点。 这种层次化的结构使得研究人员可以轻松访问特定部分的数据而无需加载整个文件[^3]。 #### 2. 处理 HDF5 文件所需的工具 为了读取和操作 HDF5 文件,可以使用 Python 中的 `h5py` 或 MATLAB 提供的相关库。下面是一个简单的例子展示如何利用 `h5py` 打开并探索一个 HDF5 文件的内容: ```python import h5py def explore_hdf5(file_path): with h5py.File(file_path, 'r') as f: print("Keys:", list(f.keys())) # 列出顶层组名 for key in f.keys(): item = f[key] if isinstance(item, h5py.Dataset): print(f"{key} is a dataset with shape {item.shape}") elif isinstance(item, h5py.Group): print(f"{key} is a group containing:") for sub_key in item.keys(): print(f" - {sub_key}") explore_hdf5('example.h5') ``` 上述脚本会打印出给定 HDF5 文件的所有顶级键,并区分它们是数据集还是子组[^4]。 #### 3. 内存管理注意事项 如果尝试运行某些大型模型(例如 DeepSeek-R1),可能会遇到内存不足的情况,正如引用中提到的例子所示[^2]。在这种情况下,建议采取以下措施来优化资源分配: - 使用更高效的算法减少计算需求; - 增加物理 RAM 或启用虚拟内存扩展; - 对于 GPU 加速环境,考虑调整批次大小或切换到较低精度浮点数运算模式(FP16 vs FP32)。 此外,在处理大尺寸的 HDF5 文件时也需要注意类似的性能瓶颈问题——可以通过逐块加载而非一次性全部载入的方式来缓解这一挑战[^5]。 #### 4. 特殊情况下的预处理技术 针对 BCI 应用场景下采集得到的高维时空域特征矩阵,往往还需要执行一系列标准化流程,比如去噪滤波器应用、基线校正以及重参考变换等等。具体实现取决于实际研究目标和个人偏好设置等因素影响。 --- ###
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