diff --git a/lib/max_subarray.js b/lib/max_subarray.js
index 46c166f..a1875fa 100644
--- a/lib/max_subarray.js
+++ b/lib/max_subarray.js
@@ -1,9 +1,25 @@
 
-// Time Complexity:
-// Space Complexity:
+// Time Complexity: O(n) n is the size of the array
+// Space Complexity: O(1)
 
 function maxSubArray(nums) {
-  throw new Error("Function not implemented yet...")
+  if (nums.length === 0) return null;
+
+  let maxSum = nums[0];
+  let sum = 0;
+
+  for (let num of nums) {
+    sum += num;
+   
+    if (sum > maxSum) {
+      maxSum = sum;
+    }
+    if (sum < 0) {
+      sum = 0;
+    }
+  }
+
+  return maxSum;
 }
 
 module.exports = {
diff --git a/lib/newman_conway.js b/lib/newman_conway.js
index 42685b0..1d35d8f 100644
--- a/lib/newman_conway.js
+++ b/lib/newman_conway.js
@@ -1,10 +1,26 @@
 
-// Time Complexity:
-// Space Complexity:
+// Time Complexity: O(n)
+// Space Complexity: O(n)
 
 function newmanConway(num) {
-  throw new Error("Function not implemented yet...")
-}
+  if (num === 0) throw new Error();
+
+  // let i;
+  let array = [];
+  array[0] = 0;
+  array[1] = 1;
+  array[2] = 1;
+
+  if (num === 1) return '1';
+
+  for (let i = 3; i <= num; i++) {
+    array[i] = array[array[i - 1]] + array[i - array[i - 1]];
+  }
+
+  array.shift(); //O(n) operation
+
+  return array.join(' ');
+};
 
 module.exports = {
   newmanConway
diff --git a/package-lock.json b/package-lock.json
index 3a3c5e0..208a483 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1,8 +1,1102 @@
 {
   "name": "dynamic-programming",
   "version": "1.0.0",
-  "lockfileVersion": 1,
+  "lockfileVersion": 2,
   "requires": true,
+  "packages": {
+    "": {
+      "name": "dynamic-programming",
+      "version": "1.0.0",
+      "license": "ISC",
+      "dependencies": {
+        "expect.js": "^0.3.1"
+      },
+      "devDependencies": {
+        "chai": "^4.2.0",
+        "mocha": "^6.2.3"
+      }
+    },
+    "node_modules/ansi-colors": {
+      "version": "3.2.3",
+      "resolved": "https://registry.npmjs.org/ansi-colors/-/ansi-colors-3.2.3.tgz",
+      "integrity": "sha512-LEHHyuhlPY3TmuUYMh2oz89lTShfvgbmzaBcxve9t/9Wuy7Dwf4yoAKcND7KFT1HAQfqZ12qtc+DUrBMeKF9nw==",
+      "dev": true,
+      "engines": {
+        "node": ">=6"
+      }
+    },
+    "node_modules/ansi-regex": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-3.0.0.tgz",
+      "integrity": "sha1-7QMXwyIGT3lGbAKWa922Bas32Zg=",
+      "dev": true,
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/ansi-styles": {
+      "version": "3.2.1",
+      "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-3.2.1.tgz",
+      "integrity": "sha512-VT0ZI6kZRdTh8YyJw3SMbYm/u+NqfsAxEpWO0Pf9sq8/e94WxxOpPKx9FR1FlyCtOVDNOQ+8ntlqFxiRc+r5qA==",
+      "dev": true,
+      "dependencies": {
+        "color-convert": "^1.9.0"
+      },
+      "engines": {
+        "node": ">=4"
+      }
+    },
+    "node_modules/argparse": {
+      "version": "1.0.10",
+      "resolved": "https://registry.npmjs.org/argparse/-/argparse-1.0.10.tgz",
+      "integrity": "sha512-o5Roy6tNG4SL/FOkCAN6RzjiakZS25RLYFrcMttJqbdd8BWrnA+fGz57iN5Pb06pvBGvl5gQ0B48dJlslXvoTg==",
+      "dev": true,
+      "dependencies": {
+        "sprintf-js": "~1.0.2"
+      }
+    },
+    "node_modules/assertion-error": {
+      "version": "1.1.0",
+      "resolved": "https://registry.npmjs.org/assertion-error/-/assertion-error-1.1.0.tgz",
+      "integrity": "sha512-jgsaNduz+ndvGyFt3uSuWqvy4lCnIJiovtouQN5JZHOKCS2QuhEdbcQHFhVksz2N2U9hXJo8odG7ETyWlEeuDw==",
+      "dev": true,
+      "engines": {
+        "node": "*"
+      }
+    },
+    "node_modules/balanced-match": {
+      "version": "1.0.0",
+      "resolved": "https://registry.npmjs.org/balanced-match/-/balanced-match-1.0.0.tgz",
+      "integrity": "sha1-ibTRmasr7kneFk6gK4nORi1xt2c=",
+      "dev": true
+    },
+    "node_modules/brace-expansion": {
+      "version": "1.1.11",
+      "resolved": "https://registry.npmjs.org/brace-expansion/-/brace-expansion-1.1.11.tgz",
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+      "dev": true,
+      "dependencies": {
+        "balanced-match": "^1.0.0",
+        "concat-map": "0.0.1"
+      }
+    },
+    "node_modules/browser-stdout": {
+      "version": "1.3.1",
+      "resolved": "https://registry.npmjs.org/browser-stdout/-/browser-stdout-1.3.1.tgz",
+      "integrity": "sha512-qhAVI1+Av2X7qelOfAIYwXONood6XlZE/fXaBSmW/T5SzLAmCgzi+eiWE7fUvbHaeNBQH13UftjpXxsfLkMpgw==",
+      "dev": true
+    },
+    "node_modules/camelcase": {
+      "version": "5.3.1",
+      "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-5.3.1.tgz",
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+        "check-error": "^1.0.2",
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+        "pathval": "^1.1.0",
+        "type-detect": "^4.0.5"
+      },
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+        "supports-color": "^5.3.0"
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+      "version": "1.0.2",
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+      "integrity": "sha1-V00xLt2Iu13YkS6Sht1sCu1KrII=",
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+      "dev": true
+    },
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+      "integrity": "sha1-2Klr13/Wjfd5OnMDajug1UBdR3s=",
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+      }
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+      "resolved": "https://registry.npmjs.org/diff/-/diff-3.5.0.tgz",
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+      },
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+        "url": "https://github.com/sponsors/ljharb"
+      }
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+        "esvalidate": "bin/esvalidate.js"
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