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							- import java.util.ArrayList;
 
- class Solution {
 
-     private static final double eps = 0.000001;
 
-     public boolean judgePoint24(int[] nums) {
 
-         ArrayList<Double> list = new ArrayList<>();
 
-         for (int n : nums) list.add((double) n);
 
-         return dfs(list);
 
-     }
 
-     private boolean dfs(ArrayList<Double> list) {
 
-         if (list.size() == 1 && Math.abs(list.get(0) - 24.0) < eps) return true;
 
-         for (int i = 0; i < list.size() - 1; i++) {
 
-             for (int j = i + 1; j < list.size(); j++) {
 
-                 ArrayList<Double> candidate = new ArrayList<>();
 
-                 double n1 = list.get(i), n2 = list.get(j);
 
-                 candidate.add(n1 + n2);
 
-                 candidate.add(n1 - n2);
 
-                 candidate.add(n2 - n1);
 
-                 candidate.add(n1 * n2);
 
-                 if (n2 != 0.0) candidate.add(n1 / n2);
 
-                 if (n1 != 0.0) candidate.add(n2 / n1);
 
-                 ArrayList<Double> next = new ArrayList<>();
 
-                 for (int k = 0; k < list.size(); k++)
 
-                     if (k != i && k != j)
 
-                         next.add(list.get(k));
 
-                 for (int k = 0; k < candidate.size(); k++) {
 
-                     next.add(candidate.get(k));
 
-                     if (dfs(next)) return true;
 
-                     next.remove(next.size() - 1);
 
-                 }
 
-             }
 
-         }
 
-         return false;
 
-     }
 
- }
 
 
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