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.
For example, the numbers "69", "88", and "818" are all strobogrammatic.
翻转180度后对称的数有:8->8, 0->0, 1->1, 6->9, 9->6,从两边向中间检查对应位置的两个数是否满足对称数就行了。比如619,先判断6和9是有映射的,然后1和自己又是映射,所以是对称数。有点像判断回文Palindrome,回文判断是否相等,这里判断是否满足那几个数字的条件。判断是可以直接写条件判断,也可以用HashMap存放数字的映射,然后用双指针从两边向中间查看。
Java:
public class Solution {
public boolean isStrobogrammatic(String num) {
HashMap<Character, Character> map = new HashMap<Character, Character>();
map.put(‘1‘,‘1‘);
map.put(‘0‘,‘0‘);
map.put(‘6‘,‘9‘);
map.put(‘9‘,‘6‘);
map.put(‘8‘,‘8‘);
int left = 0, right = num.length() - 1;
while(left <= right){
if(!map.containsKey(num.charAt(right)) || num.charAt(left) != map.get(num.charAt(right))){
return false;
}
left++;
right--;
}
return true;
}
}
Python:
class Solution:
lookup = {‘0‘:‘0‘, ‘1‘:‘1‘, ‘6‘:‘9‘, ‘8‘:‘8‘, ‘9‘:‘6‘}
def isStrobogrammatic(self, num):
n = len(num)
for i in xrange((n+1) / 2):
if num[n-1-i] not in self.lookup or num[i] != self.lookup[num[n-1-i]]:
return False
return True
C++:
class Solution {
public:
bool isStrobogrammatic(string num) {
unordered_map<char, char> m {{‘0‘, ‘0‘}, {‘1‘, ‘1‘}, {‘8‘, ‘8‘}, {‘6‘, ‘9‘}, {‘9‘, ‘6‘}};
for (int i = 0; i <= num.size() / 2; ++i) {
if (m[num[i]] != num[num.size() - i - 1]) return false;
}
return true;
}
};
类似题目:
[LeetCode] 247. Strobogrammatic Number II 对称数II
[LeetCode] 248. Strobogrammatic Number III 对称数III