Given the integers zero, one, low, and high, we can construct a string by starting with an empty string, and then at each step perform either of the following:
'0' zero times.'1' one times.This can be performed any number of times.
\n\nA good string is a string constructed by the above process having a length between low and high (inclusive).
Return the number of different good strings that can be constructed satisfying these properties. Since the answer can be large, return it modulo 109 + 7.
\n
Example 1:
\n\n\nInput: low = 3, high = 3, zero = 1, one = 1\nOutput: 8\nExplanation: \nOne possible valid good string is "011". \nIt can be constructed as follows: "" -> "0" -> "01" -> "011". \nAll binary strings from "000" to "111" are good strings in this example.\n\n\n
Example 2:
\n\n\nInput: low = 2, high = 3, zero = 1, one = 2\nOutput: 5\nExplanation: The good strings are "00", "11", "000", "110", and "011".\n\n\n
\n
Constraints:
\n\n1 <= low <= high <= 1051 <= zero, one <= low给你整数 zero ，one ，low 和 high ，我们从空字符串开始构造一个字符串，每一步执行下面操作中的一种：
'0' 在字符串末尾添加 zero 次。'1' 在字符串末尾添加 one 次。以上操作可以执行任意次。
\n\n如果通过以上过程得到一个 长度 在 low 和 high 之间（包含上下边界）的字符串，那么这个字符串我们称为 好 字符串。
请你返回满足以上要求的 不同 好字符串数目。由于答案可能很大，请将结果对 109 + 7 取余 后返回。
\n\n
示例 1：
\n\n输入：low = 3, high = 3, zero = 1, one = 1\n输出：8\n解释：\n一个可能的好字符串是 \"011\" 。\n可以这样构造得到：\"\" -> \"0\" -> \"01\" -> \"011\" 。\n从 \"000\" 到 \"111\" 之间所有的二进制字符串都是好字符串。\n\n\n
示例 2：
\n\n输入：low = 2, high = 3, zero = 1, one = 2\n输出：5\n解释：好字符串为 \"00\" ，\"11\" ，\"000\" ，\"110\" 和 \"011\" 。\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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