You are given a string num, representing a large integer, and an integer k.
We call some integer wonderful if it is a permutation of the digits in num and is greater in value than num. There can be many wonderful integers. However, we only care about the smallest-valued ones.
num = "5489355142":\n\n\t"5489355214"."5489355241"."5489355412"."5489355421".Return the minimum number of adjacent digit swaps that needs to be applied to num to reach the kth smallest wonderful integer.
The tests are generated in such a way that kth smallest wonderful integer exists.
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Example 1:
\n\n\nInput: num = "5489355142", k = 4\nOutput: 2\nExplanation: The 4th smallest wonderful number is "5489355421". To get this number:\n- Swap index 7 with index 8: "5489355142" -> "5489355412"\n- Swap index 8 with index 9: "5489355412" -> "5489355421"\n\n\n
Example 2:
\n\n\nInput: num = "11112", k = 4\nOutput: 4\nExplanation: The 4th smallest wonderful number is "21111". To get this number:\n- Swap index 3 with index 4: "11112" -> "11121"\n- Swap index 2 with index 3: "11121" -> "11211"\n- Swap index 1 with index 2: "11211" -> "12111"\n- Swap index 0 with index 1: "12111" -> "21111"\n\n\n
Example 3:
\n\n\nInput: num = "00123", k = 1\nOutput: 1\nExplanation: The 1st smallest wonderful number is "00132". To get this number:\n- Swap index 3 with index 4: "00123" -> "00132"\n\n\n
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Constraints:
\n\n2 <= num.length <= 10001 <= k <= 1000num only consists of digits.给你一个表示大整数的字符串 num ，和一个整数 k 。
如果某个整数是 num 中各位数字的一个 排列 且它的 值大于 num ，则称这个整数为 妙数 。可能存在很多妙数，但是只需要关注 值最小 的那些。
num = \"5489355142\" ：\n\n\t\"5489355214\"\"5489355241\"\"5489355412\"\"5489355421\"返回要得到第 k 个 最小妙数 需要对 num 执行的 相邻位数字交换的最小次数 。
测试用例是按存在第 k 个最小妙数而生成的。
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示例 1：
\n\n输入：num = \"5489355142\", k = 4\n输出：2\n解释：第 4 个最小妙数是 \"5489355421\" ，要想得到这个数字：\n- 交换下标 7 和下标 8 对应的位：\"5489355142\" -> \"5489355412\"\n- 交换下标 8 和下标 9 对应的位：\"5489355412\" -> \"5489355421\"\n\n\n
示例 2：
\n\n输入：num = \"11112\", k = 4\n输出：4\n解释：第 4 个最小妙数是 \"21111\" ，要想得到这个数字：\n- 交换下标 3 和下标 4 对应的位：\"11112\" -> \"11121\"\n- 交换下标 2 和下标 3 对应的位：\"11121\" -> \"11211\"\n- 交换下标 1 和下标 2 对应的位：\"11211\" -> \"12111\"\n- 交换下标 0 和下标 1 对应的位：\"12111\" -> \"21111\"\n\n\n
示例 3：
\n\n输入：num = \"00123\", k = 1\n输出：1\n解释：第 1 个最小妙数是 \"00132\" ，要想得到这个数字：\n- 交换下标 3 和下标 4 对应的位：\"00123\" -> \"00132\"\n\n\n
\n\n
提示：
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collections<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u6ce8\\u610f Python 2.7 \\u5c06\\u57282020\\u5e74\\u540e\\u4e0d\\u518d\\u7ef4\\u62a4<\\/a>\\u3002 \\u5982\\u60f3\\u4f7f\\u7528\\u6700\\u65b0\\u7248\\u7684Python\\uff0c\\u8bf7\\u9009\\u62e9Python 3\\u3002<\\/p>\"],\"c\":[\"C\",\" \\u7248\\u672c\\uff1a \\u7f16\\u8bd1\\u65f6\\uff0c\\u5c06\\u4f1a\\u91c7\\u7528 \\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5982\\u60f3\\u4f7f\\u7528\\u54c8\\u5e0c\\u8868\\u8fd0\\u7b97, \\u60a8\\u53ef\\u4ee5\\u4f7f\\u7528 uthash<\\/a>\\u3002 \\\"uthash.h\\\"\\u5df2\\u7ecf\\u9ed8\\u8ba4\\u88ab\\u5bfc\\u5165\\u3002\\u8bf7\\u770b\\u5982\\u4e0b\\u793a\\u4f8b:<\\/p>\\r\\n\\r\\n 1. 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