From f64ae515a8fab4a28b2cf0ed429cb3b6f2d881c5 Mon Sep 17 00:00:00 2001
From: Haidong Ji
Date: Fri, 28 Sep 2018 20:32:20 -0500
Subject: Maximize num of prize places done!

Got the Java version work first. Then it's easy.---
 .../sources/different_summands.py                  | 31 +++++++++++++++++++
 .../tests/different_summandsTest.py                | 35 ++++++++++++++++++++++
 2 files changed, 66 insertions(+)
 create mode 100644 AlgoDesignAndTechniqueEdxPython/sources/different_summands.py
 create mode 100644 AlgoDesignAndTechniqueEdxPython/tests/different_summandsTest.py

diff --git a/AlgoDesignAndTechniqueEdxPython/sources/different_summands.py b/AlgoDesignAndTechniqueEdxPython/sources/different_summands.py
new file mode 100644
index 0000000..48af063
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/sources/different_summands.py
@@ -0,0 +1,31 @@
+# Uses python3
+import sys
+
+
+def getOptimalSummands(n):
+    summands = []
+    if n < 3:
+        summands.append(n)
+        return summands
+    runningSum = 0
+    
+    for i in range(1, n + 1):
+        runningSum = runningSum + i
+        summands.append(i)
+        if runningSum == n:
+            break
+        if runningSum > n:
+            del summands[-1]
+            summands[-1] = summands[-1] + n - runningSum + i
+            break
+    return summands
+
+if __name__ == '__main__':
+    input = sys.stdin.read()
+    n = int(input)
+    summands = getOptimalSummands(n)
+    print(len(summands))
+    for x in summands:
+        print(x, end=' ')
+
+
diff --git a/AlgoDesignAndTechniqueEdxPython/tests/different_summandsTest.py b/AlgoDesignAndTechniqueEdxPython/tests/different_summandsTest.py
new file mode 100644
index 0000000..cfb178d
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/tests/different_summandsTest.py
@@ -0,0 +1,35 @@
+'''
+Created on Sep 28, 2018
+
+@author: haidong
+'''
+import unittest
+
+from sources.different_summands import getOptimalSummands
+
+class Test(unittest.TestCase):
+
+
+    def testName(self):
+        n = 6
+        self.assertEqual(len(getOptimalSummands(n)), 3)
+
+    def testName1(self):
+        n = 8
+        self.assertEqual(len(getOptimalSummands(n)), 3)
+
+    def testName2(self):
+        n = 2
+        self.assertEqual(len(getOptimalSummands(n)), 1)
+
+    def testName3(self):
+        n = 4
+        self.assertEqual(len(getOptimalSummands(n)), 2)
+
+    def testName4(self):
+        n = 4
+        self.assertEqual(getOptimalSummands(n)[1], 3)
+
+if __name__ == "__main__":
+    #import sys;sys.argv = ['', 'Test.testName']
+    unittest.main()
\ No newline at end of file
-- 
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