Add merge into challenge

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Donne Martin 2017-03-27 05:15:51 -04:00
parent d9edf2fa15
commit abc982d360
4 changed files with 481 additions and 0 deletions

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Challenge Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Given sorted arrays A, B, merge B into A in sorted order.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)\n",
"* [Solution Notebook](#Solution-Notebook)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Does A have enough space for B?\n",
" * Yes\n",
"* Can the inputs have duplicate array items?\n",
" * Yes\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Does the inputs also include the actual size of A and B?\n",
" * Yes\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* A or B is None -> Exception\n",
"* index of last A or B < 0 -> Exception\n",
"* A or B is empty\n",
"* General case\n",
" * A = [1, 3, 5, 7, 9, None, None, None]\n",
" * B = [4, 5, 6]\n",
" * A = [1, 3, 4, 5, 5, 6, 7, 9]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Refer to the [Solution Notebook](). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class Array(object):\n",
"\n",
" def merge_into(self, source, dest, source_end_index, dest_end_index):\n",
" # TODO: Implement me\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The following unit test is expected to fail until you solve the challenge.**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# %load test_merge_into.py\n",
"from nose.tools import assert_equal, assert_raises\n",
"\n",
"\n",
"class TestArray(object):\n",
"\n",
" def test_merge_into(self):\n",
" array = Array()\n",
" assert_raises(TypeError, array.merge_into, None, None, None, None)\n",
" assert_raises(ValueError, array.merge_into, [1], [2], -1, -1)\n",
" a = [1, 2, 3]\n",
" assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])\n",
" a = [1, 2, 3]\n",
" assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])\n",
" a = [1, 3, 5, 7, 9, None, None, None]\n",
" b = [4, 5, 6]\n",
" expected = [1, 3, 4, 5, 5, 6, 7, 9]\n",
" assert_equal(array.merge_into(a, b, 5, len(b)), expected)\n",
" print('Success: test_merge_into')\n",
"\n",
"\n",
"def main():\n",
" test = TestArray()\n",
" test.test_merge_into()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solution Notebook\n",
"\n",
"Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Given sorted arrays A, B, merge B into A in sorted order.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Does A have enough space for B?\n",
" * Yes\n",
"* Can the inputs have duplicate array items?\n",
" * Yes\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Does the inputs also include the actual size of A and B?\n",
" * Yes\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* A or B is None -> Exception\n",
"* index of last A or B < 0 -> Exception\n",
"* A or B is empty\n",
"* General case\n",
" * A = [1, 3, 5, 7, 9, None, None, None]\n",
" * B = [4, 5, 6]\n",
" * A = [1, 3, 4, 5, 5, 6, 7, 9]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"<pre>\n",
" i k\n",
"A = [1, 3, 5, 7, 9, None, None, None]\n",
" j\n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k\n",
"A = [1, 3, 5, 7, 9, None, None, 9]\n",
" j\n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k \n",
"A = [1, 3, 5, 7, 9, None, 7, 9]\n",
" j\n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k \n",
"A = [1, 3, 5, 7, 9, 6, 7, 9]\n",
" j\n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k \n",
"A = [1, 3, 5, 7, 5, 6, 7, 9]\n",
" j \n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k \n",
"A = [1, 3, 5, 5, 5, 6, 7, 9]\n",
" j \n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" i k \n",
"A = [1, 3, 4, 5, 5, 6, 7, 9]\n",
" j \n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A[k] = max(A[i], B[j])\n",
" ik \n",
"A = [1, 3, 4, 5, 5, 6, 7, 9]\n",
" \n",
"B = [4, 5, 6]\n",
"\n",
"---\n",
"\n",
"A = [1, 3, 4, 5, 5, 6, 7, 9]\n",
"\n",
"</pre>\n",
"\n",
"Complexity:\n",
"* Time: O(m + n)\n",
"* Space: O(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class Array(object):\n",
"\n",
" def merge_into(self, source, dest, source_end_index, dest_end_index):\n",
" if source is None or dest is None:\n",
" raise TypeError('source or dest cannot be None')\n",
" if source_end_index < 0 or dest_end_index < 0:\n",
" raise ValueError('end indices must be >= 0')\n",
" if not source:\n",
" return dest\n",
" if not dest:\n",
" return source\n",
" source_index = source_end_index - 1\n",
" dest_index = dest_end_index - 1\n",
" insert_index = source_end_index + dest_end_index - 1\n",
" while dest_index >= 0:\n",
" if source[source_index] > dest[dest_index]:\n",
" source[insert_index] = source[source_index]\n",
" source_index -= 1\n",
" else:\n",
" source[insert_index] = dest[dest_index]\n",
" dest_index -= 1\n",
" insert_index -= 1\n",
" return source"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting test_merge_into.py\n"
]
}
],
"source": [
"%%writefile test_merge_into.py\n",
"from nose.tools import assert_equal, assert_raises\n",
"\n",
"\n",
"class TestArray(object):\n",
"\n",
" def test_merge_into(self):\n",
" array = Array()\n",
" assert_raises(TypeError, array.merge_into, None, None, None, None)\n",
" assert_raises(ValueError, array.merge_into, [1], [2], -1, -1)\n",
" a = [1, 2, 3]\n",
" assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])\n",
" a = [1, 2, 3]\n",
" assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])\n",
" a = [1, 3, 5, 7, 9, None, None, None]\n",
" b = [4, 5, 6]\n",
" expected = [1, 3, 4, 5, 5, 6, 7, 9]\n",
" assert_equal(array.merge_into(a, b, 5, len(b)), expected)\n",
" print('Success: test_merge_into')\n",
"\n",
"\n",
"def main():\n",
" test = TestArray()\n",
" test.test_merge_into()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Success: test_merge_into\n"
]
}
],
"source": [
"%run -i test_merge_into.py"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}

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from nose.tools import assert_equal, assert_raises
class TestArray(object):
def test_merge_into(self):
array = Array()
assert_raises(TypeError, array.merge_into, None, None, None, None)
assert_raises(ValueError, array.merge_into, [1], [2], -1, -1)
a = [1, 2, 3]
assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])
a = [1, 2, 3]
assert_equal(array.merge_into(a, [], len(a), 0), [1, 2, 3])
a = [1, 3, 5, 7, 9, None, None, None]
b = [4, 5, 6]
expected = [1, 3, 4, 5, 5, 6, 7, 9]
assert_equal(array.merge_into(a, b, 5, len(b)), expected)
print('Success: test_merge_into')
def main():
test = TestArray()
test.test_merge_into()
if __name__ == '__main__':
main()