Given a string of numbers and operators, return all possible results from computing all the different possible ways to group numbers and operators. The valid operators are+
, -
and *
.
Example 1
Input: "2-1-1"
.
((2-1)-1) = 0 (2-(1-1)) = 2
Output: [0, 2]
Example 2
Input: "2*3-4*5"
(2*(3-(4*5))) = -34 ((2*3)-(4*5)) = -14 ((2*(3-4))*5) = -10 (2*((3-4)*5)) = -10 (((2*3)-4)*5) = 10
Output: [-34, -14, -10, -10, 10]
Credits:
Special thanks to @mithmatt for adding this problem and creating all test cases.
1 public class Solution { 2 public List<Integer> diffWaysToCompute(String input) { 3 List<Integer> ans = new ArrayList<Integer>(); 4 for(int i = 0; i < input.length(); i++){ 5 char c = input.charAt(i); 6 if(c != '+' && c != '-' && c != '*') continue; 7 List<Integer> left = diffWaysToCompute(input.substring(0,i)); 8 List<Integer> right = diffWaysToCompute(input.substring(i+1,input.length())); 9 for(int le : left){ 10 for(int ri : right){ 11 if(c == '+') ans.add(le+ri); 12 else if(c == '-') ans.add(le-ri); 13 else if(c == '*') ans.add(le*ri); 14 } 15 } 16 } 17 if(ans.size() == 0) ans.add(Integer.parseInt(input)); 18 return ans; 19 } 20 }
使用分治的思想。