From dc9fbf7e360cf73c82198dddff477e2eb990814e Mon Sep 17 00:00:00 2001
From: Emily Colon <emiquigs@gmail.com>
Date: Mon, 18 Jul 2022 19:15:28 -0400
Subject: [PATCH] completed dynamic programming

---
 .vscode/settings.json |  7 +++++++
 lib/max_subarray.py   | 12 +++++++++++-
 lib/newman_conway.py  | 22 +++++++++++++++++++++-
 3 files changed, 39 insertions(+), 2 deletions(-)
 create mode 100644 .vscode/settings.json

diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..9b38853
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,7 @@
+{
+    "python.testing.pytestArgs": [
+        "tests"
+    ],
+    "python.testing.unittestEnabled": false,
+    "python.testing.pytestEnabled": true
+}
\ No newline at end of file
diff --git a/lib/max_subarray.py b/lib/max_subarray.py
index 4e892e0..dc402b5 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -7,6 +7,16 @@ def max_sub_array(nums):
     """
     if nums == None:
         return 0
+
     if len(nums) == 0:
         return 0
-    pass
+
+    max_til_now = nums[0]
+    max_ending = 0
+
+    for i in range(len(nums)):
+        max_ending += nums[i]
+        max_til_now = max(max_til_now, max_ending)
+        if(max_ending < 0):
+            max_ending = 0
+    return max_til_now
diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..96d224c 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -6,5 +6,25 @@ def newman_conway(num):
     """ Returns a list of the Newman Conway numbers for the given value.
         Time Complexity: ?
         Space Complexity: ?
+
+        P(n) = P(P(n - 1)) + P(n - P(n - 1))
     """
-    pass
+    # base = ['1','1']
+    if num == 0:
+        raise ValueError()
+    if num == 1:
+        return('1')
+    # for i in range(num):
+    #     if i > 1:
+    #         base.append(str(int(base[int(base[i - 1])]) + int(base[i - int(base[i - 1])])))
+
+    # return ' '.join(base)
+
+    f = [0, 1, 1]
+    r = 1
+    # To store values of sequence in array
+    for i in range(3, num + 1):
+        r = f[f[i-1]]+f[i-f[i-1]]
+        f.append(r)
+
+    return ' '.join([str(j) for j in f[1:]])
\ No newline at end of file