Given a single positive integer x, we will write an expression of the form x (op1) x (op2) x (op3) x ... where each operator op1, op2, etc. is either addition, subtraction, multiplication, or division (+, -, *, or /). For example, with x = 3, we might write 3 * 3 / 3 + 3 - 3 which is a value of 3.
When writing such an expression, we adhere to the following conventions:
\n\n/) returns rational numbers.-). For example, "x - x" is a valid expression as it only uses subtraction, but "-x + x" is not because it uses negation.We would like to write an expression with the least number of operators such that the expression equals the given target. Return the least number of operators used.
\n
Example 1:
\n\n\nInput: x = 3, target = 19\nOutput: 5\nExplanation: 3 * 3 + 3 * 3 + 3 / 3.\nThe expression contains 5 operations.\n\n\n
Example 2:
\n\n\nInput: x = 5, target = 501\nOutput: 8\nExplanation: 5 * 5 * 5 * 5 - 5 * 5 * 5 + 5 / 5.\nThe expression contains 8 operations.\n\n\n
Example 3:
\n\n\nInput: x = 100, target = 100000000\nOutput: 3\nExplanation: 100 * 100 * 100 * 100.\nThe expression contains 3 operations.\n\n\n
\n
Constraints:
\n\n2 <= x <= 1001 <= target <= 2 * 108给定一个正整数 x，我们将会写出一个形如 x (op1) x (op2) x (op3) x ... 的表达式，其中每个运算符 op1，op2，… 可以是加、减、乘、除（+，-，*，或是 /）之一。例如，对于 x = 3，我们可以写出表达式 3 * 3 / 3 + 3 - 3，该式的值为 3 。
在写这样的表达式时，我们需要遵守下面的惯例：
\n\n/）返回有理数。-）。例如，“x - x” 是一个有效的表达式，因为它只使用减法，但是 “-x + x” 不是，因为它使用了否定运算符。 我们希望编写一个能使表达式等于给定的目标值 target 且运算符最少的表达式。返回所用运算符的最少数量。
\n\n
示例 1：
\n\n\n输入：x = 3, target = 19\n输出：5\n解释：3 * 3 + 3 * 3 + 3 / 3 。表达式包含 5 个运算符。\n\n\n
示例 2：
\n\n\n输入：x = 5, target = 501\n输出：8\n解释：5 * 5 * 5 * 5 - 5 * 5 * 5 + 5 / 5 。表达式包含 8 个运算符。\n\n\n
示例 3：
\n\n\n输入：x = 100, target = 100000000\n输出：3\n解释：100 * 100 * 100 * 100 。表达式包含 3 个运算符。\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 \\u5df2\\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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"style": "LEETCODE",
"exampleTestcases": "3\n19\n5\n501\n100\n100000000",
"__typename": "QuestionNode"
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