Letter Combinations of a Phone Number

本文介绍了一种基于递归回溯的算法实现,用于生成输入数字字符串对应的电话键盘所有可能的字母组合。通过构建字符映射表并利用辅助递归函数完成组合生成。

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public class Solution {
    public List<String> letterCombinations(String digits) {
        List<String> res = new LinkedList<>();
        if (digits == null || digits.length() == 0) {
            return res;
        }
        Map<Character, char[]> map = new HashMap<>();
        map.put('0', new char[0]);
        map.put('1', new char[0]);
        map.put('2', new char[]{'a','b','c'});
        map.put('3', new char[]{'d','e','f'});
        map.put('4', new char[]{'g','h','i'});
        map.put('5', new char[]{'j','k','l'});
        map.put('6', new char[]{'m','n','o'});
        map.put('7', new char[]{'p','q','r','s'});
        map.put('8', new char[]{'t','u','v'});
        map.put('9', new char[]{'w','x','y','z'});
        StringBuilder sb = new StringBuilder();
        helper(res, digits, map, sb, 0);
        return res;
    }
    
    private void helper(List<String> res, String digits, Map<Character, char[]> map, StringBuilder sb, int pos) {
        if (sb.length() == digits.length()) {
            res.add(new String(sb.toString()));
            return;
        }
        for (int i = pos; i < digits.length(); i++) {
            char num = digits.charAt(i);
            char[] chars = map.get(num);
            for (char c: chars) {
                sb.append(c);
                helper(res, digits, map, sb, i + 1);
                sb.deleteCharAt(sb.length() - 1);
            }
        }
    }
}

内容概要:本文详细探讨了基于阻尼连续可调减振器(CDC)的半主动悬架系统的控制策略。首先建立了CDC减振器的动力学模型,验证了其阻尼特性,并通过实验确认了模型的准确性。接着,搭建了1/4车辆悬架模型,分析了不同阻尼系数对悬架性能的影响。随后,引入了PID、自适应模糊PID和模糊-PID并联三种控制策略,通过仿真比较它们的性能提升效果。研究表明,模糊-PID并联控制能最优地提升悬架综合性能,在平顺性和稳定性间取得最佳平衡。此外,还深入分析了CDC减振器的特性,优化了控制策略,并进行了系统级验证。 适用人群:从事汽车工程、机械工程及相关领域的研究人员和技术人员,尤其是对车辆悬架系统和控制策略感兴趣的读者。 使用场景及目标:①适用于研究和开发基于CDC减振器的半主动悬架系统的工程师;②帮助理解不同控制策略(如PID、模糊PID、模糊-PID并联)在悬架系统中的应用及其性能差异;③为优化车辆行驶舒适性和稳定性提供理论依据和技术支持。 其他说明:本文不仅提供了详细的数学模型和仿真代码,还通过实验数据验证了模型的准确性。对于希望深入了解CDC减振器工作原理及其控制策略的读者来说,本文是一份极具价值的参考资料。同时,文中还介绍了多种控制策略的具体实现方法及其优缺点,为后续的研究和实际应用提供了有益的借鉴。
(Telephone Number Word Generator) Standard telephone keypads contain the digits 0 through 9. The numbers 2 through 9 each have three letters associated with them, as is indicated by the following table: Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. For example, a person whose telephone number is 686-2377 might use the correspondence indi- cated in the above table to develop the seven-letter word “NUMBERS.” Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then no doubt the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could surely do so with the number 825-3688 (i.e., “TAKEOUT”). Each seven-digit phone number corresponds to many separate seven-letter words. Unfortunately, most of these represent unrecognizable juxtaposi- tions of letters. It’s possible, however, that the owner of a barber shop would be pleased to know that the shop’s telephone number, 424-7288, corresponds to “HAIRCUT.” A veterinarian with the phone number 738-2273 would be happy to know that the number corresponds to “PETCARE.” Write a program that, given a seven-digit number, writes to a file every possible seven-letter word corresponding to that number. There are 2187 (3 to the seventh power) such words. Avoid phone numbers with the digits 0 and 1.
06-09
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