Huahua’s Tech Road

花花酱 LeetCode 1979. Find Greatest Common Divisor of Array

By zxi on December 31, 2021

Given an integer array nums, return the greatest common divisor of the smallest number and largest number in nums.

The greatest common divisor of two numbers is the largest positive integer that evenly divides both numbers.

Example 1:

Input: nums = [2,5,6,9,10]
Output: 2
Explanation:
The smallest number in nums is 2.
The largest number in nums is 10.
The greatest common divisor of 2 and 10 is 2.

Example 2:

Input: nums = [7,5,6,8,3]
Output: 1
Explanation:
The smallest number in nums is 3.
The largest number in nums is 8.
The greatest common divisor of 3 and 8 is 1.

Example 3:

Input: nums = [3,3]
Output: 3
Explanation:
The smallest number in nums is 3.
The largest number in nums is 3.
The greatest common divisor of 3 and 3 is 3.

Constraints:

2 <= nums.length <= 1000
1 <= nums[i] <= 1000

Solution:

Use std::minmax_element and std::gcd

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

C++

// Author: Huahua

class Solution {

public:

int findGCD(vector<int>& nums) {

auto p = minmax_element(begin(nums), end(nums));

return gcd(*p.first, *p.second);

}

};

花花酱 LeetCode 1975. Maximum Matrix Sum

By zxi on December 31, 2021

You are given an n x n integer matrix. You can do the following operation any number of times:

Choose any two adjacent elements of matrix and multiply each of them by -1.

Two elements are considered adjacent if and only if they share a border.

Your goal is to maximize the summation of the matrix’s elements. Return the maximum sum of the matrix’s elements using the operation mentioned above.

Example 1:

Input: matrix = [[1,-1],[-1,1]]
Output: 4
Explanation: We can follow the following steps to reach sum equals 4:
- Multiply the 2 elements in the first row by -1.
- Multiply the 2 elements in the first column by -1.

Example 2:

Input: matrix = [[1,2,3],[-1,-2,-3],[1,2,3]]
Output: 16
Explanation: We can follow the following step to reach sum equals 16:
- Multiply the 2 last elements in the second row by -1.

Constraints:

n == matrix.length == matrix[i].length
2 <= n <= 250
-10⁵ <= matrix[i][j] <= 10⁵

Solution: Math

Count the number of negative numbers.
1. Even negatives, we can always flip all the negatives to positives. ans = sum(abs(matrix)).
2. Odd negatives, there will be one negative left, we found the smallest abs(element) and let it become negative. ans = sum(abs(matrix))) – 2 * min(abs(matrix))

Time complexity: O(n²)
Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

long long maxMatrixSum(vector<vector<int>>& matrix) {

const int n = matrix.size();

long long ans = 0;

int count = 0;

int lo = INT_MAX;

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

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

ans += abs(matrix[i][j]);

lo = min(lo, abs(matrix[i][j]));

count += matrix[i][j] < 0;

}

return ans - (count & 1) * 2 * lo;

}

};

花花酱 LeetCode 1974. Minimum Time to Type Word Using Special Typewriter

By zxi on December 31, 2021

There is a special typewriter with lowercase English letters 'a' to 'z' arranged in a circle with a pointer. A character can only be typed if the pointer is pointing to that character. The pointer is initially pointing to the character 'a'.

Each second, you may perform one of the following operations:

Move the pointer one character counterclockwise or clockwise.
Type the character the pointer is currently on.

Given a string word, return the minimum number of seconds to type out the characters in word.

Example 1:

Input: word = "abc"
Output: 5
Explanation: 
The characters are printed as follows:
- Type the character 'a' in 1 second since the pointer is initially on 'a'.
- Move the pointer clockwise to 'b' in 1 second.
- Type the character 'b' in 1 second.
- Move the pointer clockwise to 'c' in 1 second.
- Type the character 'c' in 1 second.

Example 2:

Input: word = "bza"
Output: 7
Explanation:
The characters are printed as follows:
- Move the pointer clockwise to 'b' in 1 second.
- Type the character 'b' in 1 second.
- Move the pointer counterclockwise to 'z' in 2 seconds.
- Type the character 'z' in 1 second.
- Move the pointer clockwise to 'a' in 1 second.
- Type the character 'a' in 1 second.

Example 3:

Input: word = "zjpc"
Output: 34
Explanation:
The characters are printed as follows:
- Move the pointer counterclockwise to 'z' in 1 second.
- Type the character 'z' in 1 second.
- Move the pointer clockwise to 'j' in 10 seconds.
- Type the character 'j' in 1 second.
- Move the pointer clockwise to 'p' in 6 seconds.
- Type the character 'p' in 1 second.
- Move the pointer counterclockwise to 'c' in 13 seconds.
- Type the character 'c' in 1 second.

Constraints:

1 <= word.length <= 100
word consists of lowercase English letters.

Solution: Clockwise or Counter-clockwise?

For each pair of (prev, curr), choose the shortest distance.
One is abs(p – c), another is 26 – abs(p – c).
Don’t forget to add 1 for typing itself.

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

C++

// Author: Huahua

class Solution {

public:

int minTimeToType(string word) {

int ans = 0;

char p = 'a';

for (char c : word) {

ans += 1 + min(abs(c - p), 26 - abs(c - p));

p = c;

}

return ans;

}

};

花花酱 LeetCode 1967. Number of Strings That Appear as Substrings in Word

By zxi on December 31, 2021

Given an array of strings patterns and a string word, return the number of strings in patterns that exist as a substring in word.

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

Example 1:

Input: patterns = ["a","abc","bc","d"], word = "abc"
Output: 3
Explanation:
- "a" appears as a substring in "abc".
- "abc" appears as a substring in "abc".
- "bc" appears as a substring in "abc".
- "d" does not appear as a substring in "abc".
3 of the strings in patterns appear as a substring in word.

Example 2:

Input: patterns = ["a","b","c"], word = "aaaaabbbbb"
Output: 2
Explanation:
- "a" appears as a substring in "aaaaabbbbb".
- "b" appears as a substring in "aaaaabbbbb".
- "c" does not appear as a substring in "aaaaabbbbb".
2 of the strings in patterns appear as a substring in word.

Example 3:

Input: patterns = ["a","a","a"], word = "ab"
Output: 3
Explanation: Each of the patterns appears as a substring in word "ab".

Constraints:

1 <= patterns.length <= 100
1 <= patterns[i].length <= 100
1 <= word.length <= 100
patterns[i] and word consist of lowercase English letters.

Solution: Brute Force

We can use count_if for 1-liner.

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

C++

// Author: Huahua

class Solution {

public:

int numOfStrings(vector<string>& patterns, string word) {

return count_if(begin(patterns), end(patterns), [&](string& p) {

return word.find(p) != string::npos;

});

}

};

花花酱 LeetCode 1962. Remove Stones to Minimize the Total

By zxi on December 31, 2021

You are given a 0-indexed integer array piles, where piles[i] represents the number of stones in the i^th pile, and an integer k. You should apply the following operation exactly k times:

Choose any piles[i] and remove floor(piles[i] / 2) stones from it.

Notice that you can apply the operation on the same pile more than once.

Return the minimum possible total number of stones remaining after applying the k operations.

floor(x) is the greatest integer that is smaller than or equal to x (i.e., rounds x down).

Example 1:

Input: piles = [5,4,9], k = 2
Output: 12
Explanation: Steps of a possible scenario are:
- Apply the operation on pile 2. The resulting piles are [5,4,5].
- Apply the operation on pile 0. The resulting piles are [3,4,5].
The total number of stones in [3,4,5] is 12.

Example 2:

Input: piles = [4,3,6,7], k = 3
Output: 12
Explanation: Steps of a possible scenario are:
- Apply the operation on pile 2. The resulting piles are [4,3,3,7].
- Apply the operation on pile 3. The resulting piles are [4,3,3,4].
- Apply the operation on pile 0. The resulting piles are [2,3,3,4].
The total number of stones in [2,3,3,4] is 12.

Constraints:

1 <= piles.length <= 10⁵
1 <= piles[i] <= 10⁴
1 <= k <= 10⁵

Solution: Greedy / Heap

Always choose the largest pile to remove.

Time complexity: O(n + klogn)
Space complexity: O(n)

C++

// Author: Huahua

class Solution {

public:

int minStoneSum(vector<int>& piles, int k) {

int total = accumulate(begin(piles), end(piles), 0);

priority_queue<int> q(begin(piles), end(piles));

while (k--) {

int curr = q.top(); q.pop();

int remove = curr / 2;

total -= remove;

q.push(curr - remove);

}

return total;

}

};

Huahua's Tech Road

花花酱 LeetCode 1979. Find Greatest Common Divisor of Array

Solution:

C++

花花酱 LeetCode 1975. Maximum Matrix Sum

Solution: Math

C++

花花酱 LeetCode 1974. Minimum Time to Type Word Using Special Typewriter

Solution: Clockwise or Counter-clockwise?

C++

花花酱 LeetCode 1967. Number of Strings That Appear as Substrings in Word

Solution: Brute Force

C++

花花酱 LeetCode 1962. Remove Stones to Minimize the Total

Solution: Greedy / Heap

C++