Given a list of sorted characters letters containing only lowercase letters, and given a target letter target, find the smallest element in the list that is larger than the given target.

Letters also wrap around. For example, if the target is target = 'z' and letters = ['a', 'b'], the answer is 'a'.

Examples:

Input:
letters = ["c", "f", "j"]
target = "a"
Output: "c"

Input:
letters = ["c", "f", "j"]
target = "c"
Output: "f"

Input:
letters = ["c", "f", "j"]
target = "d"
Output: "f"

Input:
letters = ["c", "f", "j"]
target = "g"
Output: "j"

Input:
letters = ["c", "f", "j"]
target = "j"
Output: "c"

Input:
letters = ["c", "f", "j"]
target = "k"
Output: "c"

Note:

1. letters has a length in range [2, 10000].
2. letters consists of lowercase letters, and contains at least 2 unique letters.
3. target is a lowercase letter.

这道题给了我们一堆有序的字母，然后又给了我们一个target字母，让我们求字母数组中第一个大于target的字母，数组是循环的，如果没有，那就返回第一个字母。像这种在有序数组中找数字，二分法简直不要太适合啊。题目中说了数组至少有两个元素，那么我们首先用数组的尾元素来跟target比较，如果target大于等于尾元素的话，直接返回数组的首元素即可。否则就利用二分法来做，这里是查找第一个大于目标值的数组，博主之前做过二分法的总结，参见这个帖子LeetCode Binary Search Summary 二分搜索法小结，参见代码如下：

解法一：

class Solution {
public:
    char nextGreatestLetter(vector<char>& letters, char target) {
        if (target >= letters.back()) return letters[0];
        int n = letters.size(), left = 0, right = n;
        while (left < right) {
            int mid = left + (right - left) / 2;
            if (letters[mid] <= target) left = mid + 1;
            else right = mid;
        }
        return letters[right];
    }
};

我们也可以用STL自带的upper_bound函数来做，这个就是找第一个大于目标值的数字，如果返回end()，说明没找到，返回首元素即可，参见代码如下：

解法二：

class Solution {
public:
    char nextGreatestLetter(vector<char>& letters, char target) {
        auto it = upper_bound(letters.begin(), letters.end(), target);
        return it == letters.end() ? *letters.begin() : *it;
    }
};

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