You are given a 0-indexed binary string s of length n on which you can apply two types of operations:
i and invert all characters from index 0 to index i (both inclusive), with a cost of i + 1i and invert all characters from index i to index n - 1 (both inclusive), with a cost of n - iReturn the minimum cost to make all characters of the string equal.
\n\nInvert a character means if its value is '0' it becomes '1' and vice-versa.
\n\n\n
Example 1:
\n\n\nInput: s = "0011"\nOutput: 2\nExplanation: Apply the second operation with\n\ni = 2to obtains = "0000" for a cost of 2. It can be shown that 2 is the minimum cost to make all characters equal.\n
Example 2:
\n\n\nInput: s = "010101"\nOutput: 9\nExplanation: Apply the first operation with i = 2 to obtain s = "101101" for a cost of 3.\nApply the first operation with i = 1 to obtain s = "011101" for a cost of 2. \nApply the first operation with i = 0 to obtain s = "111101" for a cost of 1. \nApply the second operation with i = 4 to obtain s = "111110" for a cost of 2.\nApply the second operation with i = 5 to obtain s = "111111" for a cost of 1. \nThe total cost to make all characters equal is 9. It can be shown that 9 is the minimum cost to make all characters equal.\n\n\n
\n
Constraints:
\n\n1 <= s.length == n <= 105s[i] is either '0' or '1'给你一个下标从 0 开始、长度为 n 的二进制字符串 s ，你可以对其执行两种操作：
i 并且反转从下标 0 到下标 i（包括下标 0 和下标 i ）的所有字符，成本为 i + 1 。i 并且反转从下标 i 到下标 n - 1（包括下标 i 和下标 n - 1 ）的所有字符，成本为 n - i 。返回使字符串内所有字符 相等 需要的 最小成本 。
\n\n反转 字符意味着：如果原来的值是 '0' ，则反转后值变为 '1' ，反之亦然。
\n\n\n\n
示例 1：
\n\n\n输入：s = \"0011\"\n输出：2\n解释：执行第二种操作，选中下标\n\ni = 2，可以得到s = \"0000\" ，成本为 2。可以证明 2 是使所有字符相等的最小成本。\n
示例 2：
\n\n\n输入：s = \"010101\"\n输出：9\n解释：执行第一种操作，选中下标 i = 2 ，可以得到 s = \"101101\" ，成本为 3 。\n执行第一种操作，选中下标 i = 1 ，可以得到 s = \"011101\" ，成本为 2 。\n执行第一种操作，选中下标 i = 0 ，可以得到 s = \"111101\" ，成本为 1 。\n执行第二种操作，选中下标 i = 4 ，可以得到 s = \"111110\" ，成本为 2 。\n执行第一种操作，选中下标 i = 5 ，可以得到 s = \"111111\" ，成本为 1 。\n使所有字符相等的总成本等于 9 。可以证明 9 是使所有字符相等的最小成本。\n\n
\n\n
提示：
\n\n1 <= s.length == n <= 105s[i] 为 '0' 或 '1'\\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>\"],\"java\":[\"Java\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u88ab\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5305\\u542b Pair \\u7c7b: https:\\/\\/docs.oracle.com\\/javase\\/8\\/javafx\\/api\\/javafx\\/util\\/Pair.html <\\/p>\"],\"python\":[\"Python\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982\\uff1aarray<\\/a>, bisect<\\/a>, 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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