Leetcode december

Code

# Definition for a binary tree node.
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

    def __repr__v1(self):
        return self.val

    def __repr__(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"{vl} <- {self.val} -> {vr}"

    def __repr__v2(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"""
    {self.val}
  /   \      
{vl}    {vr}
"""


from typing import Iterable, List, Union


class TreeNodeBuilder:
    """Usage:
    t = TreeNodeBuilder()
    node = t([2,1,3])
    """

    def __init__(
        self,
    ):
        pass

    def better_next(self, iterable: Iterable):
        try:
            return next(iterable)
        except StopIteration:
            return None

    def build(self, node: TreeNode):
        vl = self.better_next(self.vals)
        vr = self.better_next(self.vals)

        if vl:
            node.left = TreeNode(vl)
        if vr:
            node.right = TreeNode(vr)

        if vl:
            self.build(node.left)
        if vr:
            self.build(node.right)

    def __call__(self, root: List[Union[int, None]]):
        self.vals = iter(root)
        node = TreeNode(val=next(self.vals))
        self.build(node)

        return node

Setting up your environment for debugging

Setting up your debugger in jupyter is as easy as running two commands

The debugger front-end can be installed as a JupyterLab extension.

jupyter labextension install @jupyterlab/debugger

The only kernel with debugging support, for now, is xeus-python a new Jupyter kernel for the Python programming language

conda install xeus-python -c conda-forge

more details on jupyter debugging: https://blog.jupyter.org/a-visual-debugger-for-jupyter-914e61716559

write some helper functions

def testeq(want, meth, arg):
    """
    params:
        want - what we want
        meth - method of class instance, as Solution().meth
        arg  - arg to pass as Solution.meth(arg)

    """
    got = meth(arg)
    if got != want:
        raise ValueError(f"Got: {got}, want: {want}")

Utils

# Definition for a binary tree node.
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

    def __repr__v1(self):
        return self.val

    def __repr__(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"{vl} <- {self.val} -> {vr}"

    def __repr__v2(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"""
    {self.val}
  /   \      
{vl}    {vr}
"""


from typing import Iterable, List, Union


class TreeNodeBuilder:
    """Usage:
    t = TreeNodeBuilder()
    node = t([2,1,3])
    """

    def __init__(
        self,
    ):
        pass

    def better_next(self, iterable: Iterable):
        try:
            return next(iterable)
        except StopIteration:
            return None

    def build(self, node: TreeNode):
        vl = self.better_next(self.vals)
        vr = self.better_next(self.vals)

        if vl is not None:
            node.left = TreeNode(vl)
        if vr is not None:
            node.right = TreeNode(vr)

        if vl is not None:
            self.build(node.left)
        if vr is not None:
            self.build(node.right)

    def __call__(self, root: List[Union[int, None]]):
        self.vals = iter(root)
        node = TreeNode(val=next(self.vals))
        self.build(node)

        return node

wow

1 <- 3 -> 5

week 1

problem 1: two-sum

https://leetcode.com/problems/two-sum

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.

You may assume that each input would have exactly one solution, and you may not use the same element twice.

You can return the answer in any order.

Example 1:

Input: nums = [2,7,11,15], target = 9
Output: [0,1]
Output: Because nums[0] + nums[1] == 9, we return [0, 1].

Example 2:

Input: nums = [3,2,4], target = 6
Output: [1,2]

Example 3:

Input: nums = [3,3], target = 6
Output: [0,1]

Constraints:

2 <= nums.length <= 103
-109 <= nums[i] <= 109
-109 <= target <= 109
Only one valid answer exists.

There are two solutions: brute (loop over all candidates) and lookup.

However, we use smart brute: after we checked candidate for Left (idx_l), we can be sure that all possible matching right are to the right. So instead of for idx_r in range(0, len(nums)), we can use for idx_r in range(idx_l+1, len(nums))

Note

Thanks to our smart trick, both solutions are nearly identical in python in terms of time/memory

Code

from typing import List

class Solution:
    def twoSumBrute(self, nums: List[int], target: int) -> List[int]:
        for idx_l in range(len(nums)):
            for idx_r in range(idx_l + 1, len(nums)):
                if nums[idx_l] + nums[idx_r] == target:
                    return idx_l, idx_r

    def twoSumLookupOnePass(self, nums: List[int], target: int) -> List[int]:
        lookup = {}
        for i, v in enumerate(nums):
            if target - v in lookup:
                return i, lookup[target - v]
            lookup[v] = i
        raise ValueError("Two sums target not in list.")

2020-12-01 | problem 2 | add-two-numbers

https://leetcode.com/problems/add-two-numbers/

Details:

• Runtime: 72 ms, faster than 49.79% of Python3 online submissions for Add Two Numbers.

• Memory Usage: 14.3 MB, less than 21.33% of Python3 online submissions for Add Two Numbers.

from typing import List


# Definition for singly-linked list.
class ListNode:
    def __init__(self, val=0, next=None):
        self.val = val
        self.next = next

    def tolist(self) -> List[int]:
        res = list()
        current = self
        while True:
            res.append(current.val)
            if current.next is None:
                return res
            else:
                current = current.next

    def __repr__(self):
        return str(self.tolist())


def ListNodeFromList(lst, vrb=False):
    ln = ListNode()

    current = ln
    for i, v in enumerate(lst, start=1):
        if vrb:
            print(v)
        current.val = v

        if i == len(lst):
            return ln
        current.next = ListNode()
        current = current.next

    raise Exception("Should not run")

def number_from_ListNode(list_node, vrb=False):
    number = 0
    current = list_node

    multiple = 1
    while True:
        number += current.val * multiple
        if current.next is None:
            return number

        if vrb:
            print(multiple, current.val, number)
        current = current.next
        multiple *= 10

class Solution:
    def addTwoNumbers(self, l1: ListNode, l2: ListNode) -> ListNode:
        int1 = number_from_ListNode(l1)
        int2 = number_from_ListNode(l2)
        new_num = int1 + int2
        new_list = [int(x) for x in list(str(new_num))]
        # print(new_list[::-1])
        return ListNodeFromList(new_list[::-1])

    def run_example(self, input_1: List[int], input_2: List[int]):
        l1, l2 = ListNodeFromList(input_1), ListNodeFromList(input_2)
        return self.addTwoNumbers(l1, l2)

Solution().run_example([2, 4, 3], [5, 6, 4])

Solution().run_example([0], [0])

Solution().run_example([9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9])

Maximum Depth of Binary Tree

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/569/week-1-december-1st-december-7th/3551/

Details:

• Runtime: 72 ms, faster than 49.79% of Python3 online submissions for Add Two Numbers.

• Memory Usage: 14.3 MB, less than 21.33% of Python3 online submissions for Add Two Numbers.

# Definition for a binary tree node.
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

    def __repr__(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"""
    {self.val}
  /   \      
{vl}    {vr}
"""

class Solution:
    def maxDepthDeque(self, root: TreeNode) -> int:
        queue, count = deque([root]), 0
        if not root:
            return count

        while queue:
            cur_len = len(queue)
            while cur_len:
                cur = queue.popleft()
                if cur.left:
                    queue.append(cur.left)
                if cur.right:
                    queue.append(cur.right)
                cur_len -= 1
            count += 1
        return count

    def maxDepthRec(self, node):
        if node is None:
            return 0

        else:

            # Compute the depth of each subtree
            lDepth = self.maxDepthRec(node.left)
            rDepth = self.maxDepthRec(node.right)

            # Use the larger one
            if lDepth > rDepth:
                return lDepth + 1
            else:
                return rDepth + 1

null = None
root = [1, 2, 3, 4, 5, null, null, null, null, 6, 7, 8, 9]
root = [3, 9, 20, null, null, 15, 7]

vals = iter(root)

global node
node = TreeNode(val=next(vals))

def better_next(iterable):
    try:
        return next(iterable)
    except StopIteration:
        return None

def build(node: TreeNode):
    vl = better_next(vals)
    vr = better_next(vals)

    if vl:
        node.left = TreeNode(vl)
    if vr:
        node.right = TreeNode(vr)

    if vl:
        build(node.left)
    if vr:
        build(node.right)

build(node)

node

Linked List Random Node

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/569/week-1-december-1st-december-7th/3552/

Performance: Your runtime beats 47.34 % of python3 submissions.

Note

Faster solutions populate a list and the choose randomly from it. Below is the fastest implementation using a fixed amount of memory

Problem definition:

Given a singly linked list, return a random node’s value from the linked list. Each node must have the same probability of being chosen.

Follow up:

What if the linked list is extremely large and its length is unknown to you? Could you solve this efficiently without using extra space?

Example:

// Init a singly linked list [1,2,3].
ListNode head = new ListNode(1);
head.next = new ListNode(2);
head.next.next = new ListNode(3);
Solution solution = new Solution(head);

// getRandom() should return either 1, 2, or 3 randomly. Each element should have equal probability of returning.
solution.getRandom();

# Definition for singly-linked list.
class ListNode:
    def __init__(self, val=0, next=None):
        self.val = val
        self.next = next

    def __repr__(self):
        return f"{self.val}, {type(self.next)}"

    def show_all(self):
        res = list()
        current = self

        while True:
            res.append(current.val)
            current = current.next
            if current is None:
                return res

import random


class Solution:
    def __init__(self, head: ListNode):
        """
        @param head The linked list's head.
        Note that the head is guaranteed to be not null, so it contains at least one node.
        """
        self.head = head

    def depth(self) -> int:
        """
        return linked list's depth
        """
        cntr = 0
        current = self.head

        while True:
            cntr += 1
            if current.next is None:
                return cntr
            current = current.next

    def get_val(self, idx: int) -> int:
        """
        @param idx The index of node to get value from
        """
        cntr = 0
        current = self.head

        while True:
            if cntr == idx:
                return idx, current.val

            cntr += 1
            if current.next is None:
                raise ValueError(f"idx={idx} is larger than linked list size of {cntr}")
            current = current.next

    def getRandom(self) -> int:
        """
        Returns a random node's value.
        """

        n = self.depth()
        idx_rand = random.randint(1, n) - 1
        idx, val = self.get_val(idx_rand)
        assert idx_rand == idx
        return val

head = ListNode(1)
head.next = ListNode(2)
head.next.next = ListNode(3)
head.next.next.next = ListNode(4)
head.next.next.next.next = ListNode(5)
head.next.next.next.next.next = ListNode(6)
head.show_all()

obj = Solution(head)

# sample 50k times and make sure that it's random

import pandas as pd

pd.Series([obj.getRandom() for _ in range(50_000)]).value_counts(
    normalize=True
).sort_index().round(2)

The kth Factor of n

https://leetcode.com/submissions/detail/427084666/?from=explore&item_id=3554

** results**: Your runtime beats 87.17 % of python3 submissions. Your memory usage beats 34.67 % of python3 submissions.

Not the best result for memory, but very readable

** problem: ** Given two positive integers n and k.

A factor of an integer n is defined as an integer i where n % i == 0.

Consider a list of all factors of n sorted in ascending order, return the kth factor in this list or return -1 if n has less than k factors.

Example 1:

Input: n = 12, k = 3 Output: 3 Explanation: Factors list is [1, 2, 3, 4, 6, 12], the 3rd factor is 3. Example 2:

Input: n = 7, k = 2 Output: 7 Explanation: Factors list is [1, 7], the 2nd factor is 7. Example 3:

Input: n = 4, k = 4 Output: -1 Explanation: Factors list is [1, 2, 4], there is only 3 factors. We should return -1. Example 4:

Input: n = 1, k = 1 Output: 1 Explanation: Factors list is [1], the 1st factor is 1. Example 5:

Input: n = 1000, k = 3 Output: 4 Explanation: Factors list is [1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000].

Constraints:

1 <= k <= n <= 1000

def candidates_generator(n):
    # when we reach n//2, it should be multiplied by minimum of 2, so no point in
    # iterating past n//2
    for candidate in range(1, n // 2 + 1):
        yield candidate

    # lastly, yield n itself as a candidate
    yield n


class Solution:
    def kthFactor(self, n: int, k: int, verb=False) -> int:
        # ToDo: ADD n istelf as a possible candidate
        idx_factor = 0
        for cnd in candidates_generator(n):
            if n % cnd == 0:
                idx_factor += 1
                if verb:
                    print("\n", idx_factor, cnd, end="")
                if idx_factor == k:
                    if verb:
                        print(" <-- ANSWER", end="")  # return
                    return cnd

        if verb:
            print("\n-1, NO ANSWER")
        return -1

Solution().kthFactor(12, 3, True)

Solution().kthFactor(7, 2, True)

Solution().kthFactor(4, 4, True)

Solution().kthFactor(1, 1, True)

Solution().kthFactor(1000, 3, True)

can place flowers

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/569/week-1-december-1st-december-7th/3555/

** results**: tbd

You have a long flowerbed in which some of the plots are planted, and some are not. However, flowers cannot be planted in adjacent plots.

Given an integer array flowerbed containing 0’s and 1’s, where 0 means empty and 1 means not empty, and an integer n, return if n new flowers can be planted in the flowerbed without violating the no-adjacent-flowers rule.

Example 1:

Input: flowerbed = [1,0,0,0,1], n = 1 Output: true Example 2:

Input: flowerbed = [1,0,0,0,1], n = 2 Output: false

Constraints:

1 <= flowerbed.length <= 2 * 104 flowerbed[i] is 0 or 1. There are no two adjacent flowers in flowerbed. 0 <= n <= flowerbed.length

from typing import List

class Solution:
    def canPlaceFlowers(self, flowerbed: List[int], n: int) -> bool:
        raise NotImplementedError

def walk(flowerbed, vrb=False):
    if flowerbed == [0]:
        return 1
    elif flowerbed == [1]:
        return 0

    if vrb:
        print("=" * 90)
    if vrb:
        print(flowerbed[0])

    new_flowers = 0

    # check first spot
    is_plantable = (flowerbed[0] + flowerbed[1]) == 0
    if is_plantable:
        flowerbed[0] = 9
        new_flowers += 1

    # check middle spots
    for i in range(1, len(flowerbed) - 1):
        is_plantable = (flowerbed[i - 1] + flowerbed[i] + flowerbed[i + 1]) == 0
        if is_plantable:
            flowerbed[i] = 9
            new_flowers += 1

        if vrb:
            print(flowerbed[i], is_plantable)

    # check last spot
    is_plantable = (flowerbed[-2] + flowerbed[-1]) == 0
    if is_plantable:
        flowerbed[-1] = 9
        new_flowers += 1

    if vrb:
        print(flowerbed[-1])
    if vrb:
        print(f"Answer: {new_flowers}")

    return new_flowers


class Solution:
    def canPlaceFlowers(self, flowerbed: List[int], n: int) -> bool:
        return n <= walk(flowerbed)

assert walk([0]) == 1
assert walk([1]) == 0

assert walk([0, 1, 0]) == 0

assert walk([0, 0, 0, 0, 0, 1]) == 2

assert walk([0, 0, 0, 1]) == 1

assert walk([0, 0, 0, 1, 0, 0]) == 2
assert walk([0, 0, 0, 1, 0, 0, 1]) == 1

assert walk([1, 0, 0, 1]) == 0

assert walk([1, 0, 0, 0, 0]) == 2

assert walk([1, 0, 0, 0, 0, 1]) == 1
assert walk([1, 0, 0, 0, 0, 0]) == 2

assert walk([1, 0, 1, 0, 0, 1]) == 0

assert walk([1, 0, 1, 0, 0, 0]) == 1

assert walk([1, 0, 0, 0, 1, 0]) == 1

week 2

Pairs of Songs

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/570/week-2-december-8th-december-14th/3559/

big_time = [
    186,
    128,
    261,
    78,
    60,
    131,
    448,
    42,
    37,
    123,
    313,
    399,
    368,
    173,
    268,
    440,
    314,
    369,
    135,
    101,
    220,
    299,
    81,
    210,
    217,
    411,
    287,
    265,
    211,
    53,
    382,
    3,
    118,
    301,
    415,
    107,
    266,
    212,
    434,
    488,
    332,
    409,
    194,
    122,
    369,
    293,
    444,
    448,
    491,
    356,
    91,
    405,
    49,
    101,
    22,
    239,
    188,
    94,
    450,
    82,
    49,
    110,
    24,
    187,
    443,
    425,
    13,
    115,
    283,
    27,
    402,
    411,
    267,
    249,
    356,
    335,
    134,
    319,
    200,
    319,
    288,
    480,
    451,
    200,
    151,
    330,
    292,
    457,
    235,
    451,
    422,
    174,
    230,
    209,
    418,
    405,
    97,
    310,
    143,
    432,
    117,
    225,
    197,
    365,
    454,
    124,
    61,
    130,
    300,
    327,
    356,
    13,
    333,
    27,
    332,
    388,
    81,
    24,
    165,
    22,
    34,
    479,
    345,
    161,
    436,
    278,
    5,
    182,
    110,
    319,
    278,
    384,
    19,
    385,
    381,
    33,
    262,
    312,
    499,
    415,
    222,
    369,
    197,
    364,
    315,
    112,
    213,
    71,
    263,
    457,
    171,
    285,
    242,
    216,
    485,
    453,
    182,
    449,
    300,
    45,
    320,
    241,
    177,
    234,
    237,
    359,
    116,
    59,
    106,
    231,
    465,
    287,
    361,
    98,
    178,
    294,
    461,
    232,
    474,
    144,
    133,
    164,
    233,
    23,
    186,
    196,
    233,
    348,
    109,
    67,
    427,
    174,
    306,
    185,
    188,
    298,
    328,
    127,
    157,
    296,
    18,
    156,
    163,
    217,
    371,
    61,
    91,
    370,
    271,
    341,
    183,
    328,
    168,
    14,
    39,
    494,
    406,
    90,
    53,
    273,
    151,
    67,
    354,
    241,
    324,
    380,
    215,
    345,
    178,
    77,
    341,
    99,
    482,
    279,
    177,
    69,
    234,
    118,
    65,
    101,
    409,
    89,
    120,
    277,
    431,
    145,
    486,
    408,
    206,
    239,
    474,
    120,
    74,
    137,
    374,
    450,
    74,
    369,
    79,
    349,
    85,
    142,
    414,
    452,
    239,
    93,
    308,
    111,
    225,
    333,
    274,
    157,
    240,
    199,
    462,
    221,
    118,
    499,
    301,
    37,
    87,
    161,
    391,
    417,
    290,
    182,
    6,
    78,
    169,
    180,
    411,
    41,
    225,
    329,
    323,
    63,
    251,
    337,
    163,
    499,
    36,
    215,
    64,
    260,
    439,
    460,
    232,
    255,
    117,
    348,
    200,
    83,
    492,
    182,
    60,
    129,
    425,
    80,
    314,
    152,
    40,
    418,
    259,
    414,
    120,
    478,
    44,
    92,
    448,
    167,
    482,
    138,
    28,
    467,
    98,
    249,
    446,
    298,
    326,
    8,
    93,
    14,
    379,
    424,
    25,
    166,
    297,
    179,
    389,
    325,
    346,
    96,
    63,
    334,
    275,
    33,
    252,
    162,
    29,
    188,
    430,
    383,
    349,
    27,
    220,
    277,
    185,
    497,
    13,
    271,
    145,
    482,
    233,
    495,
    334,
    27,
    346,
    327,
    207,
    291,
    133,
    381,
    139,
    351,
    183,
    368,
    420,
    259,
    44,
    488,
    171,
    18,
    275,
    266,
    205,
    143,
    172,
    321,
    43,
    266,
    437,
    106,
    123,
    363,
    349,
    422,
    78,
    340,
    316,
    455,
    208,
    270,
    313,
    354,
    151,
    495,
    290,
    316,
    424,
    363,
    252,
    40,
    361,
    203,
    125,
    238,
    73,
    452,
    12,
    104,
    254,
    98,
    144,
    476,
    178,
    374,
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]
len(big_time)

from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:
        res = 0
        for i, vi in enumerate(time):
            for j, vj in enumerate(time[i + 1 :], start=i + 1):
                if (vi + vj) % 60 == 0:
                    res += 1
        return res

# 12 sec
# %time Solution().numPairsDivisibleBy60(big_time)

from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:
        res = 0
        for i, vi in enumerate(time):
            for j, vj in enumerate(time[i + 1 :], start=i + 1):
                if vi % 60 + vj % 60 == 60:
                    res += 1
        return res

Solution().numPairsDivisibleBy60([30, 20, 150, 100, 40])

# 12 sec
# %time Solution().numPairsDivisibleBy60(big_time)

# readable var
def sum_of_integers(n):
    """returns 1+2+3+...+n

    formula: https://www.onlinemathlearning.com/image-files/arithmetic-series.png
    """
    a1 = 1
    d = 1
    an = (n - 1) * d
    sn = (n / 2) * (2 * a1 + an)
    return int(sn)


from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:
        from collections import Counter

        cnt = Counter()
        for t in time:
            r = t % 60
            cnt[r] += 1

        numPairs = 0

        numPairs += sum_of_integers(cnt[0] - 1)  # corner case #1
        numPairs += sum_of_integers(cnt[30] - 1)  # corner case #2
        for a in range(1, 30):
            b = 60 - a
            if cnt[a] and cnt[b]:
                numPairs += cnt[a] * cnt[b]

        return numPairs

# faster var Runtime: 232 ms


def sum_of_integers(n):
    """returns 1+2+3+...+n

    formula: https://www.onlinemathlearning.com/image-files/arithmetic-series.png
    """
    return int((n + n * n) / 2)


from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:
        from collections import Counter

        cnt = Counter()
        for t in time:
            r = t % 60
            cnt[r] += 1

        numPairs = 0

        numPairs += sum_of_integers(cnt[0] - 1)  # corner case #1
        numPairs += sum_of_integers(cnt[30] - 1)  # corner case #2
        for a in range(1, 30):
            b = 60 - a
            if cnt[a] and cnt[b]:
                numPairs += cnt[a] * cnt[b]

        return numPairs

# faster var Runtime: 236 ms


def sum_of_integers(n):
    """returns 1+2+3+...+n

    formula: https://www.onlinemathlearning.com/image-files/arithmetic-series.png
    """
    return int((n + n * n) / 2)


import itertools
from collections import Counter
from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:

        cnt = Counter()
        for t in time:
            r = t % 60
            cnt[r] += 1

        numPairs = 0
        numPairs += sum_of_integers(cnt[0] - 1)  # corner case #1
        numPairs += sum_of_integers(cnt[30] - 1)  # corner case #2
        for p in itertools.product(sorted(cnt), repeat=2):
            a, b = p
            if 0 < a < b:
                if a + b == 60:
                    if a != b:
                        numPairs += cnt[a] * cnt[b]

        return numPairs

# faster var Runtime: 236 ms


def sum_of_integers(n):
    """returns 1+2+3+...+n

    formula: https://www.onlinemathlearning.com/image-files/arithmetic-series.png
    """
    return


import itertools
from collections import Counter
from typing import List


class Solution:
    def numPairsDivisibleBy60(self, time: List[int]) -> int:

        cnt = Counter()
        for t in time:
            r = t % 60
            cnt[r] += 1

        numPairs = 0
        n = cnt[0]
        numPairs += int((n + n * n) / 2)
        numPairs += sum_of_integers(cnt[30] - 1)  # corner case #2
        numPairs += int((n + n * n) / 2)
        for p in itertools.product(sorted(cnt), repeat=2):
            a, b = p
            if 0 < a < b:
                if a + b == 60:
                    if a != b:
                        numPairs += cnt[a] * cnt[b]

        return numPairs

def testeq__(want, time):
    got = Solution().numPairsDivisibleBy60(time)
    if got != want:
        raise ValueError(f"Got: {got}, want: {want}")

# testeq__(1, [418,204,77,278,239,457,284,263,372,279,476,416,360,18])

# testeq__(3, [60,60,60])

# testeq__(0, [439,407,197,191,291,486,30,307,11])

# testeq__(3, [30,20,150,100,40])

# inp = [269,230,318,468,171,158,350,60,287,27,11,384,332,267,412,478,280,303,242,378,129,131,164,467,345,146,264,332,276,479,284,433,117,197,430,203,100,280,145,287,91,157,5,475,288,146,370,199,81,428,278,2,400,23,470,242,411,470,330,144,189,204,62,318,475,24,457,83,204,322,250,478,186,467,350,171,119,245,399,112,252,201,324,317,293,44,295,14,379,382,137,280,265,78,38,323,347,499,238,110,18,224,473,289,198,106,256,279,275,349,210,498,201,175,472,461,116,144,9,221,473]
# testeq(105, inp)

Binary Search Tree Iterator

# Definition for a binary tree node.
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

    def __repr__v1(self):
        return self.val

    def __repr__(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"{vl} <- {self.val} -> {vr}"

    def __repr__v2(self):
        vl = "none" if self.left is None else self.left.val
        vr = "none" if self.right is None else self.right.val
        return f"""
    {self.val}
  /   \      
{vl}    {vr}
"""

from typing import Iterable, List, Union


class TreeBuilder:
    def __init__(self):
        pass

    def better_next(self, iterable: Iterable):
        try:
            return next(iterable)
        except StopIteration:
            return None

    def build(self, node: TreeNode):
        vl = self.better_next(self.vals)
        vr = self.better_next(self.vals)

        if vl:
            node.left = TreeNode(vl)
        if vr:
            node.right = TreeNode(vr)

        if vl:
            self.build(node.left)
        if vr:
            self.build(node.right)

    def __call__(self, root: List[Union[int, None]]):
        self.vals = iter(root)
        node = TreeNode(val=next(self.vals))
        self.build(node)

        return node

null = None
root_lst = [1, 2, 3, 4, 5, null, null, null, null, 6, 7, 8, 9]
root_lst = [3, 9, 20, null, null, 15, 7]
root_lst = [7, 3, 15, null, null, 9, 20]

Let’s build a wikipedia Tree to debug our algo

https://www.wikiwand.com/en/Tree_traversal

Depth-first traversal of an example tree:

pre-order (red): F, B, A, D, C, E, G, I, H;

in-order (yellow): A, B, C, D, E, F, G, H, I;

post-order (green): A, C, E, D, B, H, I, G, F.

In-order (LNR) algo:

1. Traverse the left subtree by recursively calling the in-order function.
2. Access the data part of the current node.
3. Traverse the right subtree by recursively calling the in-order function.

root_lst = [
    "F",
    "B",
    "G",
    "A",
    "D",
    null,
    null,
    "C",
    "E",
    null,
    null,
    null,
    null,
    null,
    "I",
    "H",
]

builder = TreeBuilder()

root = builder(root_lst)
# print(root)
# print(root.left)
# print(root.left.left)
# print(root.left.right)
# print(root.left.right.left)
# print(root.left.right.right)
# print(root.right)
# print(root.right.right)

class BSTIterator:
    def __init__(self, root: TreeNode):
        self.will_visit = {root.val: True}
        self.generator = self.inorder(root)

    def next(self) -> int:
        next_node = next(self.generator)
        #         if next_node.val in ('H', 'I'):
        #             print('pb')
        return next_node.val

    def hasNext(self) -> bool:
        keys_remaining = self.will_visit.keys()
        return bool(keys_remaining)

    def __repr__(self):
        return str(self.will_visit)

    def inorder(self, node: TreeNode):
        if node is None:
            return
        if node.val:
            self.will_visit[node.val] = True
        if node.right:
            self.will_visit[node.right.val] = True
        if node.left:
            self.will_visit[node.left.val] = True

        # continue DFS left
        yield from self.inorder(node.left)
        # NOW TIME TO YIELD
        self.will_visit.pop(node.val)
        #         print(f"popped {node.val}, remaining: {self.will_visit.keys()}")
        #         print(node.val)
        yield node
        # now go on to DFS rigth
        yield from self.inorder(node.right)

Faster solution from the internet

class BSTIterator:
    def __init__(self, root: TreeNode):
        self.stack = []
        self.load_min(root)

    def load_min(self, root):
        while root:
            self.stack.append(root)
            root = root.left

    def next(self) -> int:
        node = self.stack.pop()
        if node.right:
            self.load_min(node.right)
        return node.val

    def hasNext(self) -> bool:
        return len(self.stack) > 0

Valid Mountain Array

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/570/week-2-december-8th-december-14th/3561/

# my solution
class Solution:
    def validMountainArray(self, arr: List[int]) -> bool:
        # all corner cases in one
        if len(arr) < 3 or arr[0] >= arr[1]:
            return False

        should_increase = True
        for i in range(1, len(arr)):
            diff = arr[i] - arr[i - 1]
            if should_increase:
                if diff > 0:
                    continue
                elif diff < 0:
                    # we have reached an inflection, swap var
                    should_increase = False  # swap variable
                    continue
                elif diff == 0:
                    return False
                    print("1 NOT A MOUNTAIN!!!")
                    break
            else:
                if diff < 0:
                    continue
                elif diff >= 0:
                    return False
                    print("2 NOT A MOUNTAIN!!!")
                    break

        # if you are here, you should have flipped the increase direction
        if should_increase:
            # if still at increasing, you never went through an inflection
            return False
        else:
            # if you are here, all is ok, arr is mountain
            return True

# cleaner code from the internet
class Solution:
    def validMountainArray(self, arr: List[int]) -> bool:
        if len(arr) < 3 or arr[0] >= arr[1]:
            return False

        uphill = True

        for i in range(1, len(arr)):
            if uphill:
                if arr[i - 1] >= arr[i]:
                    uphill = False
            if not uphill:
                if arr[i - 1] <= arr[i]:
                    return False
        return not uphill

def testeq_(want, arr):
    got = Solution().validMountainArray(arr)
    if got != want:
        raise ValueError(f"Got: {got}, want: {want}")

testeq_(True, [0, 1, 2, 3, 2, 1])
testeq_(True, [0, 1, 2, 3, 2, -1])
testeq_(False, [0, 1, 2, 3, 2, -1, 1])
testeq_(False, [0, 1, 2, 3, 2, -1, -1])
testeq_(False, [0, 1, 2, 3, 4])
testeq_(False, [0, 1, 2, 2, 4])
testeq_(False, [5, 4, 7])
testeq_(False, [2, 1])

Remove Duplicates from Sorted Array II

:warning: Your runtime beats 97.91 % of python3 submissions.

from typing import List


class Solution:
    def removeDuplicates(self, arr: List[int]) -> int:
        N = len(arr)
        for i in range(N - 2):
            # popping from left to right poses index challenges
            # so let's pop from right to left!

            # first, for i'th element from the end, let's get it
            # and it's two left neigbours
            a, b, c = arr[N - 3 - i : N - i]

            # if all are equal, we can safely pop the candidate
            if a == b == c:
                # triple duplicate!
                # time to pop rightmost element (arr[N-i-1])
                arr.pop(N - i - 1)
        return arr

Solution().removeDuplicates([5])

Solution().removeDuplicates([5, 5])

Solution().removeDuplicates([5, 5, 5])

m = Solution().removeDuplicates
testeq([0, 0, 1, 1, 2, 3, 3], m, [0, 0, 1, 1, 1, 1, 2, 3, 3])
testeq([0, 0], m, [0, 0])
testeq([0, 0], m, [0, 0, 0, 0])
testeq([0], m, [0])

Palindrome Partitioning

https://leetcode.com/explore/challenge/card/december-leetcoding-challenge/570/week-2-december-8th-december-14th/3565/

tbd

Week 3

Validate Binary Search Tree

tnb = TreeNodeBuilder()

def nanmax(a, b):
    if a is None and b is None:
        return None
    elif a is None and b is not None:
        return b
    elif a is not None and b is None:
        return a
    else:
        return max(a, b)

assert nanmax(1, 3) == 3
assert nanmax(None, 3) == 3
assert nanmax(1, None) == 1
assert nanmax(None, None) is None

def nanmin(a, b):
    if a is None and b is None:
        return None
    elif a is None and b is not None:
        return b
    elif a is not None and b is None:
        return a
    else:
        return min(a, b)

assert nanmin(1, 3) == 1
assert nanmin(None, 3) == 3
assert nanmin(1, None) == 1
assert nanmin(None, None) is None

def validate(node, less_than=None, greater_than=None):
    # validate that node.val is between greater_than, less_than
    if node is None:
        return True

    if less_than is not None:
        if node.val >= less_than:
            return False

    if greater_than is not None:
        if node.val <= greater_than:
            return False

    L = validate(
        node=node.left,
        less_than=nanmin(node.val, less_than),  # LEFT => change min value
        greater_than=greater_than,
    )

    R = validate(
        node=node.right,
        less_than=less_than,
        greater_than=nanmax(node.val, greater_than),  # RIGHT => change max value
    )

    return L and R

root = tnb([2, 1, 3])
assert validate(root)
root

1 <- 2 -> 3

root = tnb([5, 1, 4, None, None, 3, 6])
assert not validate(root)

root = tnb([5, 4, 6, None, None, 3, 7])
assert not validate(root)

root = tnb([1, 1])
assert not validate(root)

tnb = TreeNodeBuilder()
root = tnb([3, 1, 5, 0, 2, None, None, None, None, 4, 6])
root

1 <- 3 -> 5

validate(root)

True