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import copy
import typing
import stdlib
def yep(s: str) -> bool:
return s.strip().lower().startswith("y")
def guess_bisect_repl(lower: int, upper: int) -> int:
mid = lower + ((upper - lower) // 2)
if yep(input(f"is it {mid}? ")):
return mid
if yep(input(f"higher than {mid}? ")):
return guess_bisect_repl(mid, upper)
return guess_bisect_repl(lower, mid)
def find_sqrt_ish(n: int) -> int:
return int(find_bisect(0, n, gen_sqrt_check(n)))
def gen_sqrt_check(n: int) -> typing.Callable[[float], int]:
def check(mid: float) -> int:
mid_sq: float = mid * mid
if mid_sq == n:
return 0
if mid_sq < n:
return 1
return -1
return check
def find_bisect(
lower: float, upper: float, check: typing.Callable[[float], int]
) -> float:
mid: float = lower + ((upper - lower) / 2)
print(f"lower={lower} mid={mid} upper={upper}")
if mid == lower or mid == upper or check(mid) == 0:
return mid
if check(mid) == 1:
return find_bisect(mid, upper, check)
return find_bisect(lower, mid, check)
def cartesian_path(p0: tuple[int, int], p1: tuple[int, int]) -> list[tuple[int, int]]:
path: list[tuple[int, int]] = []
if p0 < p1:
for i in range(p0[1], p1[1]):
path.append((i, p0[0]))
for i in range(p0[0], p1[0]):
path.append((p1[1], i))
else:
for i in range(p0[1], p1[1] - 1, -1):
path.append((i, p0[0]))
for i in range(p0[0] - 1, p1[0], -1):
path.append((p1[1], i))
return path
def gen_matrix(width: int, height: int) -> list[list[int]]:
return [list(range(width)) for _ in range(height)]
class MinStack:
def __init__(self):
self._v: list[int] = []
self._min: list[int] = []
def push(self, val: int) -> None:
self._v.append(val)
self._min.append(min(val, self._min[-1] if self._min else val))
def pop(self) -> None:
self._v.pop(-1)
self._min.pop(-1)
def top(self) -> int:
return self._v[-1]
def getMin(self) -> int: # no qa
return self._min[-1]
def linked_list_to_list(head: stdlib.LinkedListNode | None) -> list[int]:
seen: set[int] = set()
ret: list[int] = []
while head is not None:
if hash(head) in seen:
return ret
seen.add(hash(head))
ret.append(head.val)
head = head.next
return ret
def sort_linked_list(head: stdlib.LinkedListNode | None) -> stdlib.LinkedListNode | None:
by_val: list[tuple[int, stdlib.LinkedListNode]] = []
ret: stdlib.LinkedListNode | None = None
while head is not None:
by_val.append((head.val, head))
head = head.next
cur = ret
for _, node in sorted(by_val, key=lambda v: v[0]):
if cur is None:
cur = ret = node
continue
cur.next = node
cur = cur.next
if cur is not None:
cur.next = None
return ret
def connect_binary_tree_right(
root: stdlib.ConnectableBinaryTreeNode | None,
) -> tuple[stdlib.ConnectableBinaryTreeNode | None, list[int | None]]:
if root is None:
return None, []
by_level = binary_tree_by_level(copy.deepcopy(root))
by_level = typing.cast(dict[int, list[stdlib.ConnectableBinaryTreeNode]], by_level)
serialized: list[int | None] = []
print("")
if 0 not in by_level or len(by_level[0]) == 0:
return None, []
connected_root = by_level[0][0]
for level, nodes in sorted(by_level.items(), key=lambda p: p[0]):
for i in range(len(nodes)):
serialized.append(nodes[i].val)
if len(nodes) > i + 1:
print(f"{'-' * level}> connecting {nodes[i].val} -> {nodes[i + 1].val}")
nodes[i].next = nodes[i + 1]
serialized.append(None)
return connected_root, serialized
def binary_tree_by_level(
root: stdlib.BinaryTreeNode,
) -> dict[int, list[stdlib.BinaryTreeNode]]:
combined: dict[int, list[stdlib.BinaryTreeNode]] = {}
for path in collect_binary_tree_levels(0, root):
level, node = path
combined.setdefault(level, [])
combined[level].insert(0, node)
return combined
def collect_binary_tree_levels(
level: int, node: stdlib.BinaryTreeNode | None
) -> typing.Iterator[tuple[int, stdlib.BinaryTreeNode]]:
if node is None:
return
yield (level, node)
yield from collect_binary_tree_levels(level + 1, node.right)
yield from collect_binary_tree_levels(level + 1, node.left)
def sum_binary_tree_path_ints(root: stdlib.BinaryTreeNode | None) -> int:
path_ints: list[int] = []
for path in collect_binary_tree_paths(root):
path_ints.append(int("".join([str(node.val) for node in path])))
return sum(path_ints)
def binary_tree_paths_as_lists(
paths: list[list[stdlib.BinaryTreeNode]],
) -> list[list[int]]:
paths_vals: list[list[int]] = []
for path in paths:
paths_vals.append([node.val for node in path])
return paths_vals
def collect_binary_tree_paths(
node: stdlib.BinaryTreeNode | None,
) -> typing.Iterator[list[stdlib.BinaryTreeNode]]:
if node is None:
return
if node.right is None and node.left is None:
yield [node]
return
if node.right is not None:
for path in collect_binary_tree_paths(node.right):
yield [node] + path
if node.left is not None:
for path in collect_binary_tree_paths(node.left):
yield [node] + path
def binary_tree_from_list(inlist: list[int | None]) -> stdlib.BinaryTreeNode | None:
if len(inlist) == 0:
return None
nodes: list[stdlib.BinaryTreeNode | None] = [
typing.cast(stdlib.BinaryTreeNode | None, stdlib.TreeNode.from_int(i))
for i in inlist
]
nodes_copy = nodes[::-1]
root = nodes_copy.pop()
for node in nodes:
if node is None:
continue
if len(nodes_copy) == 0:
break
node.left = nodes_copy.pop()
if len(nodes_copy) > 0:
node.right = nodes_copy.pop()
return root
def binary_tree_from_preorder_inorder(
preorder: list[int], inorder: list[int]
) -> stdlib.BinaryTreeNode | None:
preorder_reversed = preorder[::-1]
def subtree(left: list[int], right: list[int]) -> stdlib.BinaryTreeNode:
root: stdlib.BinaryTreeNode = typing.cast(
stdlib.BinaryTreeNode, stdlib.TreeNode(preorder_reversed.pop())
)
if len(left) > 1:
split_pos = left.index(preorder_reversed[-1])
root.left = subtree(left[:split_pos], left[split_pos + 1 :])
elif len(left) == 1:
preorder_reversed.remove(left[0])
root.left = typing.cast(stdlib.BinaryTreeNode, stdlib.TreeNode(left[0]))
if len(right) > 1:
split_pos = right.index(preorder_reversed[-1])
root.right = subtree(right[:split_pos], right[split_pos + 1 :])
elif len(right) == 1:
preorder_reversed.remove(right[0])
root.right = typing.cast(stdlib.BinaryTreeNode, stdlib.TreeNode(right[0]))
return root
split_pos = inorder.index(preorder[0])
return subtree(inorder[:split_pos], inorder[split_pos + 1 :])