Huahua's Tech Road

花花酱 LeetCode 1461. Check If a String Contains All Binary Codes of Size K

By zxi on May 30, 2020

Given a binary string s and an integer k.

Return True if any binary code of length k is a substring of s. Otherwise, return False.

Example 1:

Input: s = "00110110", k = 2
Output: true
Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively.

Example 2:

Input: s = "00110", k = 2
Output: true

Example 3:

Input: s = "0110", k = 1
Output: true
Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring.

Example 4:

Input: s = "0110", k = 2
Output: false
Explanation: The binary code "00" is of length 2 and doesn't exist in the array.

Example 5:

Input: s = "0000000001011100", k = 4
Output: false

Constraints:

1 <= s.length <= 5 * 10^5
s consists of 0’s and 1’s only.
1 <= k <= 20

Solution: Hashtable

Insert all possible substrings into a hashtable, the size of the hashtable should be 2^k.

Time complexity: O(n*k)
Space complexity: O(2^k*k) -> O(2^k)

std::string_view: 484 ms, 40.1MB
std::string 644 ms, 58.6MB

C++

// Author: Huahua

// std::string_view: 468 ms, 37.3MB

// std::string: 636 ms, 58.6MB

class Solution {

public:

bool hasAllCodes(string_view s, int k) {

const int n = s.length();

if ((n - k + 1) * k < (1 << k)) return false;

unordered_set<string_view> c;

for (int i = 0; i + k <= n; ++i)

c.insert(s.substr(i, k));

return c.size() == (1 << k);

}

};

花花酱 LeetCode 1460. Make Two Arrays Equal by Reversing Sub-arrays

By zxi on May 30, 2020

Given two integer arrays of equal length target and arr.

In one step, you can select any non-empty sub-array of arr and reverse it. You are allowed to make any number of steps.

Return True if you can make arr equal to target, or False otherwise.

Example 1:

Input: target = [1,2,3,4], arr = [2,4,1,3]
Output: true
Explanation: You can follow the next steps to convert arr to target:
1- Reverse sub-array [2,4,1], arr becomes [1,4,2,3]
2- Reverse sub-array [4,2], arr becomes [1,2,4,3]
3- Reverse sub-array [4,3], arr becomes [1,2,3,4]
There are multiple ways to convert arr to target, this is not the only way to do so.

Example 2:

Input: target = [7], arr = [7]
Output: true
Explanation: arr is equal to target without any reverses.

Example 3:

Input: target = [1,12], arr = [12,1]
Output: true

Example 4:

Input: target = [3,7,9], arr = [3,7,11]
Output: false
Explanation: arr doesn't have value 9 and it can never be converted to target.

Example 5:

Input: target = [1,1,1,1,1], arr = [1,1,1,1,1]
Output: true

Constraints:

target.length == arr.length
1 <= target.length <= 1000
1 <= target[i] <= 1000
1 <= arr[i] <= 1000

Solution: Counting

target and arr must have same elements.

Time complexity: O(n)
Space complexity: O(1001)

C++

// Author: Huahua

class Solution {

public:

bool canBeEqual(vector<int>& target, vector<int>& arr) {

vector<int> t(1001);

vector<int> a(1001);

for (int i = 0; i < target.size(); ++i) {

++t[target[i]];

++a[arr[i]];

}

return t == a;

}

};

Python3

# Author: Huahua

class Solution:

def canBeEqual(self, target: List[int], arr: List[int]) -> bool:

return Counter(target) == Counter(arr)

:= 海象运算符 Walrus Operator – Python Weekly EP2

By zxi on May 28, 2020

Python3

// Author: Huahua

import re

import io

# Example 1:

a = [0] * 100

if len(a) > 10:

print(f"List is too long ({len(a)} elements, expected <= 10)")

n = len(a)

if n > 10:

print(f"List is too long ({n} elements, expected <= 10)")

if (x := len(a)) > 10:

print(f"List is too long ({x} elements, expected <= 10)")

# Example 2, bad

ads = "Now 20% off till 6/18"

m1 = re.search(r'(\d+)% off', ads)

discount1 = float(m1.group(1)) / 100 if m1 else 0.0

discount2 = float(m2.group(1)) / 100 if (m2 := re.search(r'(\d+)% off', ads)) else 0.0

print(f'{discount1 = }, {discount2 = }')

# Example 3

f1 = io.StringIO("123456789")

x1 = f1.read(4)

while x1 != '':

print(x1)

x1 = f1.read(4)

f2 = io.StringIO("123456789")

while (x2 := f2.read(4)) != '':

print(x2)

# Example 4

prog_langs = {'c++', 'python', 'java'}

langs = ['C++', 'Java', 'PYthon', 'English', '中文']

l1 = [lang.lower() for lang in langs if lang.lower() in prog_langs]

print(l1)

l2 = [l for lang in langs if (l := lang.lower()) in prog_langs]

print(l2)

花花酱 LeetCode 1458. Max Dot Product of Two Subsequences

By zxi on May 24, 2020

Given two arrays nums1 and nums2.

Return the maximum dot product between non-empty subsequences of nums1 and nums2 with the same length.

A subsequence of a array is a new array which is formed from the original array by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (ie, [2,3,5] is a subsequence of [1,2,3,4,5] while [1,5,3] is not).

Example 1:

Input: nums1 = [2,1,-2,5], nums2 = [3,0,-6]
Output: 18
Explanation: Take subsequence [2,-2] from nums1 and subsequence [3,-6] from nums2.
Their dot product is (2*3 + (-2)*(-6)) = 18.

Example 2:

Input: nums1 = [3,-2], nums2 = [2,-6,7]
Output: 21
Explanation: Take subsequence [3] from nums1 and subsequence [7] from nums2.
Their dot product is (3*7) = 21.

Example 3:

Input: nums1 = [-1,-1], nums2 = [1,1]
Output: -1
Explanation: Take subsequence [-1] from nums1 and subsequence [1] from nums2.
Their dot product is -1.

Constraints:

1 <= nums1.length, nums2.length <= 500
-1000 <= nums1[i], nums2[i] <= 1000

Solution: DP

dp[i][j] := max product of nums1[0~i], nums2[0~j].

dp[i][j] = max(dp[i-1][j], dp[i][j -1], max(0, dp[i-1][j-1]) + nums1[i]*nums2[j])

Time complexity: O(n1*n2)
Space complexity: O(n1*n2)

C++

// Author: Huahua

class Solution {

public:

int maxDotProduct(vector<int>& nums1, vector<int>& nums2) {

const int n1 = nums1.size();

const int n2 = nums2.size();

// dp[i][j] = max dot product of two subsequences

// of nums1[0:i] and nums2[0:j]

vector<vector<int>> dp(n1 + 1, vector<int>(n2 + 1, INT_MIN / 2));

for (int i = 1; i <= n1; ++i)

for (int j = 1; j <= n2; ++j)

dp[i][j] = max({

dp[i - 1][j],

dp[i][j - 1],

max(0, dp[i - 1][j - 1]) + nums1[i - 1] * nums2[j - 1]

});

return dp[n1][n2];

}

};

C++

// Author: Huahua

class Solution {

public:

int maxDotProduct(vector<int>& nums1, vector<int>& nums2) {

const int n1 = nums1.size();

const int n2 = nums2.size();

// dp[i][j] = max dot product of two subsequences

// of nums1[0~i] and nums2[0~j]

vector<vector<int>> dp(n1, vector<int>(n2));

for (int i = 0; i < n1; ++i)

for (int j = 0; j < n2; ++j) {

dp[i][j] = nums1[i] * nums2[j];

if (i > 0 && j > 0) dp[i][j] += max(0, dp[i - 1][j - 1]);

if (i > 0) dp[i][j] = max(dp[i][j], dp[i - 1][j]);

if (j > 0) dp[i][j] = max(dp[i][j], dp[i][j - 1]);

}

return dp.back().back();

}

};

花花酱 LeetCode 1457. Pseudo-Palindromic Paths in a Binary Tree

By zxi on May 23, 2020

Given a binary tree where node values are digits from 1 to 9. A path in the binary tree is said to be pseudo-palindromic if at least one permutation of the node values in the path is a palindrome.

Return the number of pseudo-palindromic paths going from the root node to leaf nodes.

Example 1:

Input: root = [2,3,1,3,1,null,1]
Output: 2 
Explanation: The figure above represents the given binary tree. There are three paths going from the root node to leaf nodes: the red path [2,3,3], the green path [2,1,1], and the path [2,3,1]. Among these paths only red path and green path are pseudo-palindromic paths since the red path [2,3,3] can be rearranged in [3,2,3] (palindrome) and the green path [2,1,1] can be rearranged in [1,2,1] (palindrome).

Example 2:

Input: root = [2,1,1,1,3,null,null,null,null,null,1]
Output: 1 
Explanation: The figure above represents the given binary tree. There are three paths going from the root node to leaf nodes: the green path [2,1,1], the path [2,1,3,1], and the path [2,1]. Among these paths only the green path is pseudo-palindromic since [2,1,1] can be rearranged in [1,2,1] (palindrome).

Example 3:

Input: root = [9]
Output: 1

Constraints:

The given binary tree will have between 1 and 10^5 nodes.
Node values are digits from 1 to 9.

Solution: Counting

At most one number can occur odd times.

Time complexity: O(n)
Space complexity: O(n) / stack size

C++

// Author: Huahua

class Solution {

public:

int pseudoPalindromicPaths (TreeNode* root) {

vector<int> counts(10);

function<int(TreeNode*)> dfs = [&](TreeNode* node) {

if (!node) return 0;

++counts[node->val];

int c = 0;

if (!node->left && !node->right) {

int odds = 0;

for (int i = 1; i <= 9; ++i)

if (counts[i] & 1) ++odds;

if (odds <= 1) c = 1;

}

int l = dfs(node->left);

int r = dfs(node->right);

--counts[node->val];

return c + l + r;

};

return dfs(root);

}

};

Use a binary string to represent occurrences of each number (even: 0 / odd: 1), we can use xor to flip the bit.

C++

// Author: Huahua

class Solution {

public:

int pseudoPalindromicPaths(TreeNode* root, int s = 0) {

if (!root) return 0;

s ^= (1 << root->val);

if (!root->left && !root->right)

return __builtin_popcount(s) <= 1;

return pseudoPalindromicPaths(root->left, s)

+ pseudoPalindromicPaths(root->right, s);

}

};