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 * 108Compiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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