Given an array of prices [p1,p2...,pn]
and a target
, round each price pi
to Roundi(pi)
so that the rounded array [Round1(p1),Round2(p2)...,Roundn(pn)]
sums to the given target
. Each operation Roundi(pi)
could be either Floor(pi)
or Ceil(pi)
.
Return the string "-1"
if the rounded array is impossible to sum to target
. Otherwise, return the smallest rounding error, which is defined as Σ |Roundi(pi) - (pi)| for i from 1 to n, as a string with three places after the decimal.
Example 1:
Input: prices = ["0.700","2.800","4.900"], target = 8 Output: "1.000" Explanation: Use Floor, Ceil and Ceil operations to get (0.7 - 0) + (3 - 2.8) + (5 - 4.9) = 0.7 + 0.2 + 0.1 = 1.0 .
Example 2:
Input: prices = ["1.500","2.500","3.500"], target = 10 Output: "-1" Explanation: It is impossible to meet the target.
Note:
1 <= prices.length <= 500
.- Each string of prices
prices[i]
represents a real number which is between 0 and 1000 and has exactly 3 decimal places. target
is between 0 and 1000000.