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author | Haidong Ji | 2019-02-17 09:35:46 -0600 |
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committer | Haidong Ji | 2019-02-17 09:35:46 -0600 |
commit | 602995c859265493dd94996d1626e6de44d512e6 (patch) | |
tree | 0784aeb347cb3a6e25eae77007c2fbe1f420f4f8 | |
parent | e314d433e66a6177c8a17e3fca5acc59005e1b06 (diff) |
Build heap done!
Not too bad, since the Java version has been worked out.
-rw-r--r-- | sources/build_heap.py | 60 | ||||
-rw-r--r-- | tests/build_heapTest.py | 25 |
2 files changed, 85 insertions, 0 deletions
diff --git a/sources/build_heap.py b/sources/build_heap.py new file mode 100644 index 0000000..c880b0b --- /dev/null +++ b/sources/build_heap.py @@ -0,0 +1,60 @@ +# python3 + + +def sift_down(i, data, swaps): + max_index = i + l = 2 * i + 1 + if l < len(data) and data[l] < data[max_index]: + max_index = l + r = 2 * i + 2 + if r < len(data) and data[r] < data[max_index]: + max_index = r + if i != max_index: + temp = data[i]; + swaps.append((i, max_index)) + data[i] = data[max_index] + data[max_index] = temp + sift_down(max_index, data, swaps) + + +def get_swaps(data): + swaps = [] + for i in range(int((len(data) - 1) / 2), -1, -1): + sift_down(i, data, swaps) + return swaps + + +def build_heap(data): + """Build a heap from ``data`` inplace. + + Returns a sequence of swaps performed by the algorithm. + """ + # The following naive implementation just sorts the given sequence + # using selection sort algorithm and saves the resulting sequence + # of swaps. This turns the given array into a heap, but in the worst + # case gives a quadratic number of swaps. + # + swaps = [] + for i in range(len(data)): + for j in range(i + 1, len(data)): + if data[i] > data[j]: + swaps.append((i, j)) + data[i], data[j] = data[j], data[i] + return swaps + + +def main(): + n = int(input()) + data = list(map(int, input().split())) + assert len(data) == n + + # swaps = build_heap(data) + swaps = get_swaps(data) + + print(len(swaps)) + for i, j in swaps: + print(i, j) + + +if __name__ == "__main__": + main() diff --git a/tests/build_heapTest.py b/tests/build_heapTest.py new file mode 100644 index 0000000..3b934bf --- /dev/null +++ b/tests/build_heapTest.py @@ -0,0 +1,25 @@ +import unittest + +from sources.build_heap import get_swaps + + +class MyTestCase(unittest.TestCase): + def test(self): + data = [5, 4, 3, 2, 1] + swaps = get_swaps(data) + self.assertEqual(len(swaps), 3) + self.assertEqual(1, swaps[0][0]) + self.assertEqual(4, swaps[0][1]) + self.assertEqual(0, swaps[1][0]) + self.assertEqual(1, swaps[1][1]) + self.assertEqual(1, swaps[2][0]) + self.assertEqual(3, swaps[2][1]) + + def test1(self): + data = [1, 2, 3, 4, 5] + swaps = get_swaps(data) + self.assertEqual(len(swaps), 0) + + +if __name__ == '__main__': + unittest.main() |