You are given a binary string s and a positive integer k.
A substring of s is beautiful if the number of 1's in it is exactly k.
Let len be the length of the shortest beautiful substring.
Return the lexicographically smallest beautiful substring of string s with length equal to len. If s doesn't contain a beautiful substring, return an empty string.
A string a is lexicographically larger than a string b (of the same length) if in the first position where a and b differ, a has a character strictly larger than the corresponding character in b.
"abcd" is lexicographically larger than "abcc" because the first position they differ is at the fourth character, and d is greater than c.\n
Example 1:
\n\n\nInput: s = "100011001", k = 3\nOutput: "11001"\nExplanation: There are 7 beautiful substrings in this example:\n1. The substring "100011001".\n2. The substring "100011001".\n3. The substring "100011001".\n4. The substring "100011001".\n5. The substring "100011001".\n6. The substring "100011001".\n7. The substring "100011001".\nThe length of the shortest beautiful substring is 5.\nThe lexicographically smallest beautiful substring with length 5 is the substring "11001".\n\n\n
Example 2:
\n\n\nInput: s = "1011", k = 2\nOutput: "11"\nExplanation: There are 3 beautiful substrings in this example:\n1. The substring "1011".\n2. The substring "1011".\n3. The substring "1011".\nThe length of the shortest beautiful substring is 2.\nThe lexicographically smallest beautiful substring with length 2 is the substring "11".\n\n\n
Example 3:
\n\n\nInput: s = "000", k = 1\nOutput: ""\nExplanation: There are no beautiful substrings in this example.\n\n\n
\n
Constraints:
\n\n1 <= s.length <= 1001 <= k <= s.length给你一个二进制字符串 s 和一个正整数 k 。
如果 s 的某个子字符串中 1 的个数恰好等于 k ，则称这个子字符串是一个 美丽子字符串 。
令 len 等于 最短 美丽子字符串的长度。
返回长度等于 len 且字典序 最小 的美丽子字符串。如果 s 中不含美丽子字符串，则返回一个 空 字符串。
对于相同长度的两个字符串 a 和 b ，如果在 a 和 b 出现不同的第一个位置上，a 中该位置上的字符严格大于 b 中的对应字符，则认为字符串 a 字典序 大于 字符串 b 。
\"abcd\" 的字典序大于 \"abcc\" ，因为两个字符串出现不同的第一个位置对应第四个字符，而 d 大于 c 。\n\n
示例 1：
\n\n\n输入：s = \"100011001\", k = 3\n输出：\"11001\"\n解释：示例中共有 7 个美丽子字符串：\n1. 子字符串 \"100011001\" 。\n2. 子字符串 \"100011001\" 。\n3. 子字符串 \"100011001\" 。\n4. 子字符串 \"100011001\" 。\n5. 子字符串 \"100011001\" 。\n6. 子字符串 \"100011001\" 。\n7. 子字符串 \"100011001\" 。\n最短美丽子字符串的长度是 5 。\n长度为 5 且字典序最小的美丽子字符串是子字符串 \"11001\" 。\n\n\n
示例 2：
\n\n\n输入：s = \"1011\", k = 2\n输出：\"11\"\n解释：示例中共有 3 个美丽子字符串：\n1. 子字符串 \"1011\" 。\n2. 子字符串 \"1011\" 。\n3. 子字符串 \"1011\" 。\n最短美丽子字符串的长度是 2 。\n长度为 2 且字典序最小的美丽子字符串是子字符串 \"11\" 。 \n\n\n
示例 3：
\n\n\n输入：s = \"000\", k = 1\n输出：\"\"\n解释：示例中不存在美丽子字符串。\n\n\n
\n\n
提示：
\n\n1 <= s.length <= 1001 <= k <= s.lengthi is the leftmost index of a beautiful substring, it has only one candidate j, such that s[i:j] is beautiful and shortest too.",
"We can iterate over all possibilities of leftmost index i take s[i:j] and compare with the shortest and the lexicographically smallest beautiful string we could get before index i."
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