From bc155dc53c242a8c62efb00a38439e0ed08147de Mon Sep 17 00:00:00 2001
From: Danila Fedorin <danila.fedorin@gmail.com>
Date: Mon, 7 Oct 2019 19:06:14 -0700
Subject: [PATCH] Add initial implementation of hw2

---
 inversions.py | 39 +++++++++++++++++++++++++++++++++++++++
 longest.py    | 13 +++++++++++++
 msort.py      | 26 ++++++++++++++++++++++++++
 report.txt    | 26 ++++++++++++++++++++++++++
 4 files changed, 104 insertions(+)
 create mode 100644 inversions.py
 create mode 100644 longest.py
 create mode 100644 msort.py
 create mode 100644 report.txt

diff --git a/inversions.py b/inversions.py
new file mode 100644
index 0000000..c07e8b3
--- /dev/null
+++ b/inversions.py
@@ -0,0 +1,39 @@
+def _inversions(xs):
+    # Can't be unsorted
+    if len(xs) < 2: return 0, xs
+
+    # Divide into two subarrays
+    leng = len(xs)//2
+    left = xs[:leng]
+    right = xs[leng:]
+
+    # Perform recursive call
+    lcount, left = _inversions(left)
+    rcount, right = _inversions(right)
+
+    # Reverse the lists to allow O(1) pop.
+    # Since we already have an O(n) copy,
+    # this doesn't increase complexity.
+    left.reverse()
+    right.reverse()
+
+    # Merge by popping
+    count = 0
+    total = []
+    while left != [] and right != []:
+        if left[-1] <= right[-1]:
+            total.append(left.pop())
+        else:
+            total.append(right.pop())
+            count += len(left)
+
+    # Add elements from non-empty array,
+    # if applicable.
+    left.reverse()
+    right.reverse()
+    total += left + right
+    return (count + lcount + rcount), total
+
+def inversions(xs):
+    count, _ = _inversions(xs)
+    return count
diff --git a/longest.py b/longest.py
new file mode 100644
index 0000000..3707264
--- /dev/null
+++ b/longest.py
@@ -0,0 +1,13 @@
+def _longest(ts):
+    if ts == []: return 0, 0
+
+    ldepth, lpath = _longest(ts[0])
+    rdepth, rpath = _longest(ts[2])
+
+    depth = max(ldepth, rdepth) + 1
+    cpath = max(lpath, rpath)
+
+    return depth, max(ldepth+rdepth, cpath)
+
+def longest(ts):
+    return _longest(ts)[1]
diff --git a/msort.py b/msort.py
new file mode 100644
index 0000000..48da2e4
--- /dev/null
+++ b/msort.py
@@ -0,0 +1,26 @@
+def msort(xs):
+    if len(xs) < 2: return xs
+
+    leng = len(xs) // 2
+    left = msort(xs[:leng])
+    right = msort(xs[leng:])
+
+    # Reversing is O(n), but so is copying, so
+    # this does not worsen complexity.
+    # It does slow us down, but... oh well :)
+    left.reverse()
+    right.reverse()
+
+    # Since we're reversed, the smallest numbers
+    # are on the end. We can thus use pop (O(1))
+    total = []
+    while left != [] and right != []:
+        if left[-1] <= right[-1]:
+            total.append(left.pop())
+        else:
+            total.append(right.pop())
+
+    left.reverse()
+    right.reverse()
+    total += left + right
+    return total
diff --git a/report.txt b/report.txt
new file mode 100644
index 0000000..d5edd5e
--- /dev/null
+++ b/report.txt
@@ -0,0 +1,26 @@
+Q0: Which of the following sorting algorithms are (or can be made) stable?
+A:  mergesort, quicksort with first element as pivot, selection sort with insertion,
+and insertion sort are stable.
+
+Debrief:
+1. Approximately how many hours did you spend on this assignment?
+
+   Less than 1 hour.
+
+2. Would you rate it as easy, moderate, or difficult?
+
+   Seemed easy, I didn't have any difficulties.
+
+3. Did you work on it mostly alone, or mostly with other people?
+   Note you are encouraged to discuss with your classmates, 
+   but each students should submit his/her own code.
+
+   Alone.
+
+4. How deeply do you feel you understand the material it covers (0%–100%)? 
+
+    Seems like 100%. Didn't have any difficulties.
+
+5. Any other comments?
+
+    In my opinion, it kinda sucks that only 1 code assignment is auto-graded.