From 3679b97afbc70b58bf70ea44e1edf53744a7a847 Mon Sep 17 00:00:00 2001
From: Atousa Duprat <atousa.p@gmail.com>
Date: Sat, 4 Sep 2021 20:34:47 -0700
Subject: [PATCH] generate-all-expression equal to target

---
 Recursion/GenerateAllExpression.java | 72 ++++++++++++++++++++++++++++
 1 file changed, 72 insertions(+)
 create mode 100644 Recursion/GenerateAllExpression.java

diff --git a/Recursion/GenerateAllExpression.java b/Recursion/GenerateAllExpression.java
new file mode 100644
index 0000000..6d14657
--- /dev/null
+++ b/Recursion/GenerateAllExpression.java
@@ -0,0 +1,72 @@
+import java.util.ArrayList;
+import java.util.List;
+
+//Generate All Possible Expressions That Evaluate To The Given Target Value
+//
+//        Given a string s that consists of digits (“0”..”9”) and target, a non-negative integer, find all expressions that can be built from string s that evaluate to the target.
+//        When building expressions, you have to insert one of the following operators between each pair of consecutive characters in s: “join” or “*” or “+”. For example, by inserting different operators between the two characters of string “12” we can get either 12 (1 joined with 2) or 2 (1*2) or 3 (1+2).
+//        Other operators such as  “÷” are NOT supported.
+//        Expressions that evaluate to the target but only utilize a part of s do not count: entire s has to be consumed.
+//        Precedence of the operators is conventional: “join” has the highest precedence, “*” – medium and “+” has the lowest precedence. For example, 1+2*34=(1+(2*(34)))=1+68=69.
+//        You have to return ALL expressions that can be built from string s and evaluate to the target.
+//
+//        Example One
+//        Input:
+//        s="222", target=24.
+
+// complexity
+//TC = O( 4 ^ n-1) * n
+//SC = O(n) + O(1)*n + O( 4 ^ n-1) * n
+
+public class GenerateAllExpression {
+  //1 0 5 ; 5
+    public static String[] addOperators(String s, long target) {
+
+        List<String> res = new ArrayList<>();
+        if(s == null || s.length() == 0) return res.toArray(new String[0]);
+        char[] path = new char[s.length()*2];
+        char[] digits = s.toCharArray();
+        long n = 0;
+        for(int i = 0; i < digits.length; i++) {
+            n = n * 10 + (digits[i] - '0');
+            path[i] = digits[i];
+            helper(res, path, digits, i+1, i+1, 0, n, target);
+        }
+        String[] exp = new String[res.size()];
+        exp = res.toArray(exp);
+        return exp;
+    }
+
+
+    static void helper(List<String> res, char[] path, char[] digits, int idx, int length, long prev, long curr, long target) {
+        if(idx == digits.length) {
+            if(curr + prev == target) {
+                res.add(new String(path, 0 , length));
+            }
+        } else {
+            long n = 0;
+            int j = length+1;
+            for(int i = idx; i < digits.length; i++) {
+                n = n * 10 + (digits[i]-'0');
+                path[j++] = digits[i];
+                path[length] = '*';
+                helper(res, path, digits, i+1,j, prev,curr*n, target);
+                path[length] = '+';
+                helper(res, path, digits, i+1,j, prev+curr ,n, target);
+                path[length] = '-';
+                helper(res, path, digits, i+1,j, prev+curr ,-n, target);
+            }
+        }
+    }
+
+    public static void main(String[] args) {
+        String num = "12306";
+        int target = 15;
+        String[] str = addOperators(num,target);
+
+        for (String s: str){
+            System.out.println(s);
+        }
+    }
+
+}