Huahua’s Tech Road

花花酱 LeetCode 2269. Find the K-Beauty of a Number

By zxi on May 15, 2022

The k-beauty of an integer num is defined as the number of substrings of num when it is read as a string that meet the following conditions:

It has a length of k.
It is a divisor of num.

Given integers num and k, return the k-beauty of num.

Note:

Leading zeros are allowed.
0 is not a divisor of any value.

A substring is a contiguous sequence of characters in a string.

Example 1:

Input: num = 240, k = 2
Output: 2
Explanation: The following are the substrings of num of length k:
- "24" from "240": 24 is a divisor of 240.
- "40" from "240": 40 is a divisor of 240.
Therefore, the k-beauty is 2.

Example 2:

Input: num = 430043, k = 2
Output: 2
Explanation: The following are the substrings of num of length k:
- "43" from "430043": 43 is a divisor of 430043.
- "30" from "430043": 30 is not a divisor of 430043.
- "00" from "430043": 0 is not a divisor of 430043.
- "04" from "430043": 4 is not a divisor of 430043.
- "43" from "430043": 43 is a divisor of 430043.
Therefore, the k-beauty is 2.

Constraints:

1 <= num <= 10⁹
1 <= k <= num.length (taking num as a string)

Solution: Substring

Note: the substring can be 0, e.g. “00”

Time complexity: O((l-k)*k)
Space complexity: O(l + k) -> O(1)

C++

// Author: Huahua

class Solution {

public:

int divisorSubstrings(int num, int k) {

string s = to_string(num);

int ans = 0;

for (int i = 0; i <= s.length() - k; ++i) {

const int t = stoi(s.substr(i, k));

ans += t && (num % t == 0);

}

return ans;

}

};

花花酱 LeetCode 2267. Check if There Is a Valid Parentheses String Path

By zxi on May 10, 2022

A parentheses string is a non-empty string consisting only of '(' and ')'. It is valid if any of the following conditions is true:

It is ().
It can be written as AB (A concatenated with B), where A and B are valid parentheses strings.
It can be written as (A), where A is a valid parentheses string.

You are given an m x n matrix of parentheses grid. A valid parentheses string path in the grid is a path satisfying all of the following conditions:

The path starts from the upper left cell (0, 0).
The path ends at the bottom-right cell (m - 1, n - 1).
The path only ever moves down or right.
The resulting parentheses string formed by the path is valid.

Return true if there exists a valid parentheses string path in the grid. Otherwise, return false.

Example 1:

Input: grid = [["(","(","("],[")","(",")"],["(","(",")"],["(","(",")"]]
Output: true
Explanation: The above diagram shows two possible paths that form valid parentheses strings.
The first path shown results in the valid parentheses string "()(())".
The second path shown results in the valid parentheses string "((()))".
Note that there may be other valid parentheses string paths.

Example 2:

Input: grid = [[")",")"],["(","("]]
Output: false
Explanation: The two possible paths form the parentheses strings "))(" and ")((". Since neither of them are valid parentheses strings, we return false.

Constraints:

m == grid.length
n == grid[i].length
1 <= m, n <= 100
grid[i][j] is either '(' or ')'.

Solution: DP

Let dp(i, j, b) denote whether there is a path from (i,j) to (m-1, n-1) given b open parentheses.
if we are at (m – 1, n – 1) and b == 0 then we found a valid path.
dp(i, j, b) = dp(i + 1, j, b’) or dp(i, j + 1, b’) where b’ = b + 1 if grid[i][j] == ‘(‘ else -1

Time complexity: O(m*n*(m + n))
Space complexity: O(m*n*(m + n))

Python3

# Author: Huahua

class Solution:

def hasValidPath(self, grid: List[List[str]]) -> bool:

m, n = len(grid), len(grid[0])

@cache

def dp(i: int, j: int, b: int) -> bool:

if b < 0 or i == m or j == n: return False

b += 1 if grid[i][j] == '(' else -1

if i == m - 1 and j == n - 1 and b == 0: return True

return dp(i + 1, j, b) or dp(i, j + 1, b)

return dp(0, 0, 0)

花花酱 LeetCode 2266. Count Number of Texts

By zxi on May 10, 2022

Alice is texting Bob using her phone. The mapping of digits to letters is shown in the figure below.

In order to add a letter, Alice has to press the key of the corresponding digit i times, where i is the position of the letter in the key.

For example, to add the letter 's', Alice has to press '7' four times. Similarly, to add the letter 'k', Alice has to press '5' twice.
Note that the digits '0' and '1' do not map to any letters, so Alice does not use them.

However, due to an error in transmission, Bob did not receive Alice’s text message but received a string of pressed keys instead.

For example, when Alice sent the message "bob", Bob received the string "2266622".

Given a string pressedKeys representing the string received by Bob, return the total number of possible text messages Alice could have sent.

Since the answer may be very large, return it modulo 10⁹ + 7.

Example 1:

Input: pressedKeys = "22233"
Output: 8
Explanation:
The possible text messages Alice could have sent are:
"aaadd", "abdd", "badd", "cdd", "aaae", "abe", "bae", and "ce".
Since there are 8 possible messages, we return 8.

Example 2:

Input: pressedKeys = "222222222222222222222222222222222222"
Output: 82876089
Explanation:
There are 2082876103 possible text messages Alice could have sent.
Since we need to return the answer modulo 10⁹ + 7, we return 2082876103 % (10⁹ + 7) = 82876089.

Constraints:

1 <= pressedKeys.length <= 10⁵
pressedKeys only consists of digits from '2' – '9'.

Solution: DP

Similar to 花花酱 LeetCode 91. Decode Ways, let dp[i] denote # of possible messages of substr s[i:]

dp[i] = dp[i + 1]
+ dp[i + 2] (if s[i:i+1] are the same)
+ dp[i + 3] (if s[i:i+2] are the same)
+ dp[i + 4] (if s[i:i+3] are the same and s[i] in ’79’)

dp[n] = 1

Time complexity: O(n)
Space complexity: O(n) -> O(4)

Python3

# Author: Huahua

class Solution:

def countTexts(self, s: str) -> int:

kMod = 10**9 + 7

n = len(s)

@cache

def dp(i: int) -> int:

if i >= n: return 1

ans = dp(i + 1)

ans += dp(i + 2) if i + 2 <= n and s[i] == s[i + 1] else 0

ans += dp(i + 3) if i + 3 <= n and s[i] == s[i + 1] == s[i + 2] else 0

ans += dp(i + 4) if i + 4 <= n and s[i] == s[i + 1] == s[i + 2] == s[i + 3] and s[i] in '79' else 0

return ans % kMod

return dp(0)

花花酱 LeetCode 2265. Count Nodes Equal to Average of Subtree

By zxi on May 10, 2022

Given the root of a binary tree, return the number of nodes where the value of the node is equal to the average of the values in its subtree.

Note:

The average of n elements is the sum of the n elements divided by n and rounded down to the nearest integer.
A subtree of root is a tree consisting of root and all of its descendants.

Example 1:

Input: root = [4,8,5,0,1,null,6]
Output: 5
Explanation: 
For the node with value 4: The average of its subtree is (4 + 8 + 5 + 0 + 1 + 6) / 6 = 24 / 6 = 4.
For the node with value 5: The average of its subtree is (5 + 6) / 2 = 11 / 2 = 5.
For the node with value 0: The average of its subtree is 0 / 1 = 0.
For the node with value 1: The average of its subtree is 1 / 1 = 1.
For the node with value 6: The average of its subtree is 6 / 1 = 6.

Example 2:

Input: root = [1]
Output: 1
Explanation: For the node with value 1: The average of its subtree is 1 / 1 = 1.

Constraints:

The number of nodes in the tree is in the range [1, 1000].
0 <= Node.val <= 1000

Solution: Recursion

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

C++

// Author: Huahua

class Solution {

public:

int averageOfSubtree(TreeNode* root) {

// Returns {sum(val), sum(node), ans}

function<tuple<int, int, int>(TreeNode*)> getSum

= [&](TreeNode* root) -> tuple<int, int, int> {

if (!root) return {0, 0, 0};

auto [lv, lc, la] = getSum(root->left);

auto [rv, rc, ra] = getSum(root->right);

int sum = lv + rv + root->val;

int count = lc + rc + 1;

int ans = la + ra + (root->val == sum / count);

return {sum, count, ans};

};

return get<2>(getSum(root));

}

};

花花酱 LeetCode 2264. Largest 3-Same-Digit Number in String

By zxi on May 9, 2022

You are given a string num representing a large integer. An integer is good if it meets the following conditions:

It is a substring of num with length 3.
It consists of only one unique digit.

Return the maximum good integer as a string or an empty string "" if no such integer exists.

Note:

A substring is a contiguous sequence of characters within a string.
There may be leading zeroes in num or a good integer.

Example 1:

Input: num = "6777133339"
Output: "777"
Explanation: There are two distinct good integers: "777" and "333".
"777" is the largest, so we return "777".

Example 2:

Input: num = "2300019"
Output: "000"
Explanation: "000" is the only good integer.

Example 3:

Input: num = "42352338"
Output: ""
Explanation: No substring of length 3 consists of only one unique digit. Therefore, there are no good integers.

Constraints:

3 <= num.length <= 1000
num only consists of digits.

Solution:

Time complexity: O(n)
Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

string largestGoodInteger(string num) {

string ans;

for (int i = 0; i < num.size() - 2; ++i) {

if (num[i] == num[i + 1] && num[i] == num[i + 2] &&

(ans.empty() || num[i] > ans[0]))

ans = num.substr(i, 3);

}

return ans;

}

};

Huahua's Tech Road

花花酱 LeetCode 2269. Find the K-Beauty of a Number

Solution: Substring

C++

花花酱 LeetCode 2267. Check if There Is a Valid Parentheses String Path

Solution: DP

Python3

花花酱 LeetCode 2266. Count Number of Texts

Solution: DP

Python3

花花酱 LeetCode 2265. Count Nodes Equal to Average of Subtree

Solution: Recursion

C++

花花酱 LeetCode 2264. Largest 3-Same-Digit Number in String

C++