Guess the Digits and Expression - brute force attemp

guess-the-digits-and-expression/index.js

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+function guessExpression(exp) {
+  let m = exp.match(/([\w\d]+)/g);
+  let sym = [m[0], m[1]];
+  let res = +m[2];
+  
+  let uniq = (sym[0] + sym[1]).split('')
+    .filter((el, i, arr) => arr.indexOf(el, i+1) === -1);
+  
+  let nums = new Array(uniq.length).fill(0);
+  
+  // brute force
+  while (1) {
+    let a = sym[0].replace(/./g, c => nums[uniq.indexOf(c)]);
+    let b = sym[1].replace(/./g, c => nums[uniq.indexOf(c)]);
+    if ((+a) * (+b) === res) {
+      return `${a} * ${b} = ${res}`;
+    }
+    for (let i = 0; i < nums .length; ++i) {
+      nums[i] += 1;
+      if (nums[i] >= 10) {
+        nums[i] = 0;
+      } else {
+        break;
+      }
+    }
+  }
+  
+}