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LeetCode246&247&248题解:Strobogrammatic Number I&II&III (JAVA版本)
LeetCode 246
A strobogrammatic number is a number that looks the same when rotated 180 degrees (looked at upside down).
Write a function to determine if a number is strobogrammatic. The number is represented as a string.
Example 1:
Input: "69"
Output: true Example 2:Input: "88"
Output: true Example 3:Input: "962"
Output: false算法设计
package com.bean.algorithm.basic;import java.util.ArrayList;import java.util.Arrays;import java.util.HashMap;import java.util.List;import java.util.Map;public class StrobogrammaticNumber { public boolean isStrobogrammatic(String s) { // 69, 88, 00, 11, 6969, 698869, 69869, 6908069, 886988 Mapmap = new HashMap<>(); map.put('6', '9'); map.put('9', '6'); map.put('0', '0'); map.put('1', '1'); map.put('8', '8'); int i = 0, j = s.length() - 1; while (i <= j) { if (!map.containsKey(s.charAt(i))) return false; if (map.get(s.charAt(i++)) != s.charAt(j--)) return false; } return true; } public static void main(String[] args) { // TODO Auto-generated method stub StrobogrammaticNumber strobogrammatic = new StrobogrammaticNumber(); boolean flag = strobogrammatic.isStrobogrammatic("88"); System.out.println("FLAG is: " + flag); }}
程序运行结果:
FLAG is: true
LeetCode 247
A strobogrammatic number is a number that looks the same when rotated 180 degrees (looked at upside down).
Find all strobogrammatic numbers that are of length = n.
Example:
Input: n = 2
Output: ["11","69","88","96"]算法设计
package com.bean.algorithm.basic;import java.util.ArrayList;import java.util.Arrays;import java.util.HashMap;import java.util.List;import java.util.Map;public class StrobogrammaticNumberII { public ListfindStrobogrammatic(int n) { List res = new ArrayList<>(); if (n == 0) return res; if (n == 1) return Arrays.asList("0", "1", "8"); Map map = new HashMap (); map.put('0', '0'); map.put('1', '1'); map.put('6', '9'); map.put('8', '8'); map.put('9', '6'); dfs(map, new char[n], 0, n, res); return res; } private void dfs(Map map, char[] buffer, int index, int n, List res) { // when index just passed the mid point, (n+1)/2 works for both odd and even if (index == (n + 1) / 2) { res.add(String.valueOf(buffer)); return; } for (char ch : map.keySet()) { if (index == 0 && n > 1 && ch == '0') continue; if (index == n / 2 && (ch == '6' || ch == '9')) continue; buffer[index] = ch; buffer[n - 1 - index] = map.get(ch); dfs(map, buffer, index + 1, n, res); } } public static void main(String[] args) { // TODO Auto-generated method stub StrobogrammaticNumberII strobogrammatic=new StrobogrammaticNumberII(); List list=strobogrammatic.findStrobogrammatic(2); System.out.println(list); }}
程序输出结果
[11, 69, 88, 96]
LeetCode 248
A strobogrammatic number is a number that looks the same when rotated 180 degrees (looked at upside down).
Write a function to count the total strobogrammatic numbers that exist in the range of low <= num <= high.
Example:
Input: low = "50", high = "100"
Output: 3 Explanation: 69, 88, and 96 are three strobogrammatic numbers. Note: Because the range might be a large number, the low and high numbers are represented as string.算法设计
package com.bean.algorithm.basic;import java.util.ArrayList;import java.util.Arrays;import java.util.HashMap;import java.util.List;import java.util.Map;public class StrobogrammaticNumberIII { int count = 0; public int strobogrammaticInRange(String low, String high) { Mapmap = new HashMap<>(); map.put('0', '0'); map.put('1', '1'); map.put('6', '9'); map.put('8', '8'); map.put('9', '6'); List res = new ArrayList<>(); for (int len = low.length(); len <= high.length(); len++) { dfs(map, low, high, new char[len], 0, len - 1, res); } System.out.println(res); return count; } private void dfs(Map map, String low, String high, char[] buffer, int left, int right, List res) { if (left > right) { String num = new String(buffer); if ((num.length() == low.length() && num.compareTo(low) < 0) || (num.length() == high.length() && num.compareTo(high) > 0)) { return; } count++; res.add(num); return; } for (char ch : map.keySet()) { if (buffer.length != 1 && left == 0 && ch == '0') continue; if (left == right && ch != map.get(ch)) continue; buffer[left] = ch; buffer[right] = map.get(ch); dfs(map, low, high, buffer, left + 1, right - 1, res); } } public static void main(String[] args) { // TODO Auto-generated method stub StrobogrammaticNumberIII strobogrammatic = new StrobogrammaticNumberIII(); int ANSWER = strobogrammatic.strobogrammaticInRange("50", "100"); System.out.println(ANSWER); }}
程序运行结果:
[69, 88, 96]
3
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