Huahua’s Tech Road

花花酱 LeetCode 1920. Build Array from Permutation

By zxi on December 25, 2021

Given a zero-based permutation nums (0-indexed), build an array ans of the same length where ans[i] = nums[nums[i]] for each 0 <= i < nums.length and return it.

A zero-based permutation nums is an array of distinct integers from 0 to nums.length - 1 (inclusive).

Example 1:

Input: nums = [0,2,1,5,3,4]
Output: [0,1,2,4,5,3]
Explanation: The array ans is built as follows: 
ans = [nums[nums[0]], nums[nums[1]], nums[nums[2]], nums[nums[3]], nums[nums[4]], nums[nums[5]]]
    = [nums[0], nums[2], nums[1], nums[5], nums[3], nums[4]]
    = [0,1,2,4,5,3]

Example 2:

Input: nums = [5,0,1,2,3,4]
Output: [4,5,0,1,2,3]
Explanation: The array ans is built as follows:
ans = [nums[nums[0]], nums[nums[1]], nums[nums[2]], nums[nums[3]], nums[nums[4]], nums[nums[5]]]
    = [nums[5], nums[0], nums[1], nums[2], nums[3], nums[4]]
    = [4,5,0,1,2,3]

Constraints:

1 <= nums.length <= 1000
0 <= nums[i] < nums.length
The elements in nums are distinct.

Follow-up: Can you solve it without using an extra space (i.e., O(1) memory)?

Solution 1: Straight forward

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

C++

// Author: Huahua

class Solution {

public:

vector<int> buildArray(vector<int>& nums) {

vector<int> ans(nums);

for (size_t i = 0; i < nums.size(); ++i)

ans[i] = nums[nums[i]];

return ans;

}

};

Solution 2: Follow up: Inplace Encoding

Since nums[i] <= 1000, we can use low 16 bit to store the original value and high 16 bit for new value.

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

C++

// Author: Huahua

class Solution {

public:

vector<int> buildArray(vector<int>& nums) {

const int n = nums.size();

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

nums[i] |= (nums[nums[i]] & 0xffff) << 16;

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

nums[i] >>= 16;

return nums;

}

};

花花酱 LeetCode 1915. Number of Wonderful Substrings

By zxi on December 25, 2021

A wonderful string is a string where at most one letter appears an odd number of times.

For example, "ccjjc" and "abab" are wonderful, but "ab" is not.

Given a string word that consists of the first ten lowercase English letters ('a' through 'j'), return the number of wonderful non-empty substrings in word. If the same substring appears multiple times in word, then count each occurrence separately.

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

Example 1:

Input: word = "aba"
Output: 4
Explanation: The four wonderful substrings are underlined below:
- "aba" -> "a"
- "aba" -> "b"
- "aba" -> "a"
- "aba" -> "aba"

Example 2:

Input: word = "aabb"
Output: 9
Explanation: The nine wonderful substrings are underlined below:
- "aabb" -> "a"
- "aabb" -> "aa"
- "aabb" -> "aab"
- "aabb" -> "aabb"
- "aabb" -> "a"
- "aabb" -> "abb"
- "aabb" -> "b"
- "aabb" -> "bb"
- "aabb" -> "b"

Example 3:

Input: word = "he"
Output: 2
Explanation: The two wonderful substrings are underlined below:
- "he" -> "h"
- "he" -> "e"

Constraints:

1 <= word.length <= 10⁵
word consists of lowercase English letters from 'a' to 'j'.

Solution: Prefix Bitmask + Hashtable

Similar to 花花酱 LeetCode 1371. Find the Longest Substring Containing Vowels in Even Counts, we use a bitmask to represent the occurrence (odd or even) of each letter and use a hashtable to store the frequency of each bitmask seen so far.

1. “0000000000” means all letters occur even times.
2. “0000000101” means all letters occur even times expect letter ‘a’ and ‘c’ that occur odd times.

We scan the word from left to right and update the bitmask: bitmask ^= (1 << (c-‘a’)).
However, the bitmask only represents the state of the prefix, i.e. word[0:i], then how can we count substrings? The answer is hashtable. If the same bitmask occurs c times before, which means there are c indices that word[0~j1], word[0~j2], …, word[0~jc] have the same state as word[0~i] that means for word[j1+1~i], word[j2+1~i], …, word[jc+1~i], all letters occurred even times.
For the “at most one odd” case, we toggle each bit of the bitmask and check how many times it occurred before.

ans += freq[mask] + sum(freq[mask ^ (1 << i)] for i in range(k))

Time complexity: O(n*k)
Space complexity: O(2^k)
where k = j – a + 1 = 10

C++

// Author: Huahua

class Solution {

public:

long long wonderfulSubstrings(string word) {

constexpr int l = 'j' - 'a' + 1;

vector<int> count(1 << l);

count[0] = 1;

int mask = 0;

long long ans = 0;

for (char c : word) {

mask ^= 1 << (c - 'a');

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

ans += count[mask ^ (1 << i)]; // one odd.

ans += count[mask]++; // all even.

}

return ans;

}

};

花花酱 LeetCode 1913. Maximum Product Difference Between Two Pairs

By zxi on December 24, 2021

The product difference between two pairs (a, b) and (c, d) is defined as (a * b) - (c * d).

For example, the product difference between (5, 6) and (2, 7) is (5 * 6) - (2 * 7) = 16.

Given an integer array nums, choose four distinct indices w, x, y, and z such that the product difference between pairs (nums[w], nums[x]) and (nums[y], nums[z]) is maximized.

Return the maximum such product difference.

Example 1:

Input: nums = [5,6,2,7,4]
Output: 34
Explanation: We can choose indices 1 and 3 for the first pair (6, 7) and indices 2 and 4 for the second pair (2, 4).
The product difference is (6 * 7) - (2 * 4) = 34.

Example 2:

Input: nums = [4,2,5,9,7,4,8]
Output: 64
Explanation: We can choose indices 3 and 6 for the first pair (9, 8) and indices 1 and 5 for the second pair (2, 4).
The product difference is (9 * 8) - (2 * 4) = 64.

Constraints:

4 <= nums.length <= 10⁴
1 <= nums[i] <= 10⁴

Solution: Greedy

Since all the numbers are positive, we just need to find the largest two numbers as the first pair and smallest two numbers are the second pair.

Time complexity: O(nlogn) / sorting, O(n) / finding min/max elements.
Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

int maxProductDifference(vector<int>& nums) {

const int n = nums.size();

sort(begin(nums), end(nums));

return nums[n - 1] * nums[n - 2] - nums[0] * nums[1];

}

};

Python3

# Author: Huahua

class Solution:

def maxProductDifference(self, nums: List[int]) -> int:

nums.sort()

return nums[-1] * nums[-2] - nums[0] * nums[1]

花花酱 LeetCode 1910. Remove All Occurrences of a Substring

By zxi on December 24, 2021

Given two strings s and part, perform the following operation on s until all occurrences of the substring part are removed:

Find the leftmost occurrence of the substring part and remove it from s.

Return s after removing all occurrences of part.

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

Example 1:

Input: s = "daabcbaabcbc", part = "abc"
Output: "dab"
Explanation: The following operations are done:
- s = "daabcbaabcbc", remove "abc" starting at index 2, so s = "dabaabcbc".
- s = "dabaabcbc", remove "abc" starting at index 4, so s = "dababc".
- s = "dababc", remove "abc" starting at index 3, so s = "dab".
Now s has no occurrences of "abc".

Example 2:

Input: s = "axxxxyyyyb", part = "xy"
Output: "ab"
Explanation: The following operations are done:
- s = "axxxxyyyyb", remove "xy" starting at index 4 so s = "axxxyyyb".
- s = "axxxyyyb", remove "xy" starting at index 3 so s = "axxyyb".
- s = "axxyyb", remove "xy" starting at index 2 so s = "axyb".
- s = "axyb", remove "xy" starting at index 1 so s = "ab".
Now s has no occurrences of "xy".

Constraints:

1 <= s.length <= 1000
1 <= part.length <= 1000
s and part consists of lowercase English letters.

Solution: Simulation

Time complexity: O(n²/m)
Space complexity: O(n)

C++

// Author: Huahua

class Solution {

public:

string removeOccurrences(string s, string part) {

while (true) {

size_t i = s.find(part);

if (i == string::npos) break;

s.erase(i, part.size());

}

return s;

}

};

花花酱 LeetCode 1909. Remove One Element to Make the Array Strictly Increasing

By zxi on December 24, 2021

Given a 0-indexed integer array nums, return true if it can be made strictly increasing after removing exactly one element, or false otherwise. If the array is already strictly increasing, return true.

The array nums is strictly increasing if nums[i - 1] < nums[i] for each index (1 <= i < nums.length).

Example 1:

Input: nums = [1,2,10,5,7]
Output: true
Explanation: By removing 10 at index 2 from nums, it becomes [1,2,5,7].
[1,2,5,7] is strictly increasing, so return true.

Example 2:

Input: nums = [2,3,1,2]
Output: false
Explanation:
[3,1,2] is the result of removing the element at index 0.
[2,1,2] is the result of removing the element at index 1.
[2,3,2] is the result of removing the element at index 2.
[2,3,1] is the result of removing the element at index 3.
No resulting array is strictly increasing, so return false.

Example 3:

Input: nums = [1,1,1]
Output: false
Explanation: The result of removing any element is [1,1].
[1,1] is not strictly increasing, so return false.

Constraints:

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

Solution 1: Brute Force

Enumerate the element to remove and check.

Time complexity: O(n²)
Space complexity: O(n) -> O(1)

C++

// Author: Huahua

class Solution {

public:

bool canBeIncreasing(vector<int>& nums) {

const int n = nums.size();

auto check = [&](int k) {

vector<int> arr(nums);

arr.erase(begin(arr) + k);

for (int i = 1; i < n - 1; ++i)

if (arr[i] <= arr[i - 1]) return false;

return true;

};

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

if (check(i)) return true;

return false;

}

};

C++/O(1) Space

// Author: Huahua

class Solution {

public:

bool canBeIncreasing(vector<int>& nums) {

const int n = nums.size();

auto check = [&](int k) {

for (int i = 1; i < n; ++i) {

int j = (i - 1 == k) ? (i - 2) : (i - 1);

if (i != k && j >= 0 && nums[i] <= nums[j])

return false;

}

return true;

};

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

if (check(i)) return true;

return false;

}

};

Huahua's Tech Road

花花酱 LeetCode 1920. Build Array from Permutation

Solution 1: Straight forward

C++

Solution 2: Follow up: Inplace Encoding

C++

花花酱 LeetCode 1915. Number of Wonderful Substrings

Solution: Prefix Bitmask + Hashtable

C++

花花酱 LeetCode 1913. Maximum Product Difference Between Two Pairs

Solution: Greedy

C++

Python3

花花酱 LeetCode 1910. Remove All Occurrences of a Substring

Solution: Simulation

C++

花花酱 LeetCode 1909. Remove One Element to Make the Array Strictly Increasing

Solution 1: Brute Force

C++

C++/O(1) Space