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-rw-r--r--AlgoDesignAndTechniqueEdxPython/sources/partition3.py43
-rw-r--r--AlgoDesignAndTechniqueEdxPython/tests/partition3Test.py28
2 files changed, 71 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxPython/sources/partition3.py b/AlgoDesignAndTechniqueEdxPython/sources/partition3.py
new file mode 100644
index 0000000..9a711f1
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/sources/partition3.py
@@ -0,0 +1,43 @@
+# Uses python3
+import sys
+
+
+def getPartition3(a):
+ if len(a) < 3:
+ return 0
+ sum = 0
+ for i in a:
+ sum = sum + i;
+ if sum % 3 != 0:
+ return 0
+ W = int(sum / 3)
+ values = optimalWeight2DArray(W, a)
+ count = 0
+ for i in range(1, len(a) + 1):
+ for w in range(1, W + 1):
+ if values[w][i] == W:
+ count = count + 1
+ if count >= 3:
+ return 1
+ else:
+ return 0
+
+
+def optimalWeight2DArray(W, w2):
+ j = len(w2)
+ value = [[0 for _ in range(j + 1)] for _ in range(W + 1)]
+
+ for i in range(1, j + 1):
+ for w in range(1, W + 1):
+ value[w][i] = value[w][i - 1]
+ if w2[i - 1] <= w:
+ val = value[w - w2[i - 1]][i - 1] + w2[i - 1]
+ if value[w][i] < val:
+ value[w][i] = val
+ return value
+
+
+if __name__ == '__main__':
+ input = sys.stdin.read()
+ n, *A = list(map(int, input.split()))
+ print(getPartition3(A))
diff --git a/AlgoDesignAndTechniqueEdxPython/tests/partition3Test.py b/AlgoDesignAndTechniqueEdxPython/tests/partition3Test.py
new file mode 100644
index 0000000..a5aea66
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/tests/partition3Test.py
@@ -0,0 +1,28 @@
+'''
+Created on Dec 27, 2018
+
+@author: haidong
+'''
+import unittest
+
+from sources.partition3 import getPartition3
+
+
+class Test(unittest.TestCase):
+
+ def testName(self):
+ a = [3, 3, 3, 3]
+ self.assertEqual(0, getPartition3(a))
+
+ def testName1(self):
+ a = [30]
+ self.assertEqual(0, getPartition3(a))
+
+ def testName2(self):
+ a = [1, 2, 3, 4, 5, 5, 7, 7, 8, 10, 12, 19, 25]
+ self.assertEqual(1, getPartition3(a))
+
+
+if __name__ == "__main__":
+ # import sys;sys.argv = ['', 'Test.testName']
+ unittest.main()