Package g0901_1000.s0964_least_operators_to_express_number

Class Solution

  • public class Solution
extends Object
    964 - Least Operators to Express Number.

    Hard

    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:

    • The division operator (/) returns rational numbers.
    • There are no parentheses placed anywhere.
    • We use the usual order of operations: multiplication and division happen before addition and subtraction.
    • It is not allowed to use the unary negation operator (-). 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.

    Example 1:

    Input: x = 3, target = 19

    Output: 5

    Explanation: 3 * 3 + 3 * 3 + 3 / 3.

    The expression contains 5 operations.

    Example 2:

    Input: x = 5, target = 501

    Output: 8

    Explanation: 5 * 5 * 5 * 5 - 5 * 5 * 5 + 5 / 5.

    The expression contains 8 operations.

    Example 3:

    Input: x = 100, target = 100000000

    Output: 3

    Explanation: 100 * 100 * 100 * 100. The expression contains 3 operations.

    Constraints:

    • 2 <= x <= 100
    • 1 <= target <= 2 * 108

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • leastOpsExpressTarget

        public int leastOpsExpressTarget​(int x,
                                 int target)