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1. Two Sum

"""
- Return the indices of the two numbers such that they add up to a specific target.
- Approach: Use a hashmap to store the indices of the numbers.
- Time Complexity: O(n)
- Space Complexity: O(n)
"""

from typing import List


def two_sum(nums: List[int], target: int) -> List[int]:
    hashmap = {}  # val: idx

    for idx, val in enumerate(nums):
        if (target - val) in hashmap:
            return [hashmap[target - val], idx]

        hashmap[val] = idx

    return []


def test_two_sum():
    assert two_sum([2, 7, 11, 15], 9) == [0, 1]
    assert two_sum([3, 2, 4], 6) == [1, 2]
    assert two_sum([3, 3], 6) == [0, 1]
    assert two_sum([1, 2, 3, 4, 5], 10) == []
    assert two_sum([-1, -2, -3, -4, -5], -8) == [2, 4]
#include <cassert>
#include <unordered_map>
#include <vector>

using namespace std;

class Solution {
   public:
    vector<int> twoSum(vector<int>& nums, int target) {
        unordered_map<int, int> map;

        for (size_t i = 0; i < nums.size(); i++) {
            int diff = target - nums[i];
            if (map.find(diff) != map.end()) {
                return {map[diff], (int)i};
            }
            map[nums[i]] = (int)i;
        }
        return {-1, -1};
    }
};

int main() {
    Solution solution;
    vector<int> nums = {2, 7, 11, 15};
    int target = 9;
    vector<int> result = solution.twoSum(nums, target);
    assert((result == vector<int>{0, 1}));
    return 0;
}

2667. Create Hello World Function

2. Add Two Numbers

from typing import Optional

from leetpattern.utils import LinkedList, ListNode


def add_two_numbers(l1: Optional[ListNode], l2: Optional[ListNode]) -> Optional[ListNode]:
    """Add two numbers represented by linked lists."""
    dummy = ListNode()
    cur = dummy
    carry = 0

    while l1 or l2:
        v1 = l1.val if l1 else 0
        v2 = l2.val if l2 else 0

        carry, val = divmod(v1 + v2 + carry, 10)
        cur.next = ListNode(val)
        cur = cur.next

        if l1:
            l1 = l1.next
        if l2:
            l2 = l2.next

    if carry:
        cur.next = ListNode(val=carry)

    return dummy.next


def test_add_two_numbers():
    l1 = LinkedList([2, 4, 3]).head
    l2 = LinkedList([5, 6, 4]).head
    added = add_two_numbers(l1, l2)
    assert LinkedList(added).to_array() == [7, 0, 8]
#include <cassert>
#include <vector>
using namespace std;

struct ListNode {
    int val;
    ListNode* next;
    ListNode() : val(0), next(nullptr) {}
    ListNode(int x) : val(x), next(nullptr) {}
    ListNode(int x, ListNode* next) : val(x), next(next) {}
};

class Solution {
   public:
    ListNode* addTwoNumbers(ListNode* l1, ListNode* l2) {
        ListNode dummy;
        ListNode* cur = &dummy;
        int carry = 0;

        while (l1 || l2 || carry) {
            if (l1) {
                carry += l1->val;
                l1 = l1->next;
            }
            if (l2) {
                carry += l2->val;
                l2 = l2->next;
            }
            cur->next = new ListNode(carry % 10);
            cur = cur->next;
            carry /= 10;
        }
        return dummy.next;
    }
};

int main() {
    Solution sol;

    ListNode* l1 = new ListNode(2, new ListNode(4, new ListNode(3)));
    ListNode* l2 = new ListNode(5, new ListNode(6, new ListNode(4)));
    ListNode* result = sol.addTwoNumbers(l1, l2);

    vector<int> expected = {7, 0, 8};
    for (int val : expected) {
        assert(result != nullptr && result->val == val);
        result = result->next;
    }
    assert(result == nullptr);  // End of list

    return 0;
}

1757. Recyclable and Low Fat Products

SELECT product_id
FROM
    products
WHERE
    low_fats = 'Y'
    AND recyclable = 'Y';
Input:
Products table:
+-------------+----------+------------+
| product_id  | low_fats | recyclable |
+-------------+----------+------------+
| 0           | Y        | N          |
| 1           | Y        | Y          |
| 2           | N        | Y          |
| 3           | Y        | Y          |
| 4           | N        | N          |
+-------------+----------+------------+
Output:
+-------------+
| product_id  |
+-------------+
| 1           |
| 3           |
+-------------+

9. Palindrome Number

"""
-   Return true if the given number is a palindrome. Otherwise, return false.
"""


# Reverse
def isPalindromeReverse(x: int) -> bool:
    if x < 0:
        return False

    return str(x) == str(x)[::-1]


# Left Right Pointers
def isPalindromeLR(x: int) -> bool:
    if x < 0:
        return False

    x = list(str(x))  # 121 -> ['1', '2', '1']

    left, right = 0, len(x) - 1

    while left < right:
        if x[left] != x[right]:
            return False
        left += 1
        right -= 1

    return True


# |------------|------- |---------|
# |  Approach  |  Time  |  Space  |
# |------------|--------|---------|
# |  Reverse   |  O(N)  |   O(N)  |
# | Left Right |  O(N)  |   O(1)  |
# |------------|--------|---------|


x = 121
print(isPalindromeReverse(x))  # True
print(isPalindromeLR(x))  # True

15. 3Sum

from typing import List


# Left Right Pointers
def threeSum(nums: List[int]) -> List[List[int]]:
    nums.sort()
    res = []
    n = len(nums)

    for i in range(n - 2):
        if i > 0 and nums[i] == nums[i - 1]:
            continue

        left, right = i + 1, n - 1

        while left < right:
            total = nums[i] + nums[left] + nums[right]

            if total > 0:
                right -= 1
            elif total < 0:
                left += 1
            else:
                res.append([nums[i], nums[left], nums[right]])

                while left < right and nums[left] == nums[left + 1]:
                    left += 1

                while left < right and nums[right] == nums[right - 1]:
                    right -= 1

                left += 1
                right -= 1

    return res


nums = [-1, 0, 1, 2, -1, -4]
assert threeSum(nums) == [[-1, -1, 2], [-1, 0, 1]]
#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;

vector<vector<int>> threeSum(vector<int>& nums) {
    sort(nums.begin(), nums.end());
    vector<vector<int>> res;
    int n = nums.size();

    for (int i = 0; i < n - 2; i++) {
        if (i > 0 && nums[i] == nums[i - 1]) {
            continue;
        }

        int left = i + 1, right = n - 1;

        while (left < right) {
            int total = nums[i] + nums[left] + nums[right];

            if (total > 0)
                right--;
            else if (total < 0)
                left++;
            else {
                res.push_back({nums[i], nums[left], nums[right]});
                while (left < right && nums[left] == nums[left + 1]) left++;
                while (left < right && nums[right] == nums[right - 1]) right--;
                left++;
                right--;
            }
        }
    }
    return res;
}

int main() {
    vector<int> nums = {-1, 0, 1, 2, -1, -4};
    vector<vector<int>> res = threeSum(nums);
    for (auto& v : res) {
        for (int i : v) {
            cout << i << " ";
        }
        cout << endl;
    }
    return 0;
}

4. Median of Two Sorted Arrays

from typing import List


# Brute Force
def findMedianSortedArraysBF(nums1: List[int], nums2: List[int]) -> float:
    nums = sorted(nums1 + nums2)
    n = len(nums)
    if n % 2 == 0:
        return (nums[n // 2 - 1] + nums[n // 2]) / 2
    else:
        return nums[n // 2]


# Binary Search
def findMedianSortedArraysBS(nums1: List[int], nums2: List[int]) -> float:
    if len(nums1) > len(nums2):
        nums1, nums2 = nums2, nums1

    m, n = len(nums1), len(nums2)
    imin, imax, half_len = 0, m, (m + n + 1) // 2

    while imin <= imax:
        i = (imin + imax) // 2
        j = half_len - i

        if i < m and nums2[j - 1] > nums1[i]:
            imin = i + 1
        elif i > 0 and nums1[i - 1] > nums2[j]:
            imax = i - 1
        else:
            if i == 0:
                max_of_left = nums2[j - 1]
            elif j == 0:
                max_of_left = nums1[i - 1]
            else:
                max_of_left = max(nums1[i - 1], nums2[j - 1])

            if (m + n) % 2 == 1:
                return max_of_left

            if i == m:
                min_of_right = nums2[j]
            elif j == n:
                min_of_right = nums1[i]
            else:
                min_of_right = min(nums1[i], nums2[j])

            return (max_of_left + min_of_right) / 2


# |--------------|-----------------|--------------|
# | Approach     | Time            | Space        |
# |--------------|-----------------|--------------|
# | Brute Force  | O((n+m)log(n+m))| O(n+m)       |
# | Binary Search| O(log(min(n,m)))| O(1)         |
# |--------------|-----------------|--------------|


nums1 = [1, 3]
nums2 = [2]
print(findMedianSortedArraysBF(nums1, nums2))  # 2.0
print(findMedianSortedArraysBS(nums1, nums2))  # 2.0

14. Longest Common Prefix

from typing import List


class longestCommonPrefix:
    def horizontal_scan(self, strs: List[str]) -> str:
        if not strs:
            return ""

        prefix = strs[0]
        for i in range(1, len(strs)):
            while not strs[i].startswith(prefix):
                prefix = prefix[:-1]
                if not prefix:
                    return ""

        return prefix

    def vertical_scan(self, strs: List[str]) -> str:
        if not strs:
            return ""

        for i in range(len(strs[0])):
            char = strs[0][i]
            for j in range(1, len(strs)):
                if i >= len(strs[j]) or strs[j][i] != char:
                    return strs[0][:i]

        return strs[0]

    def divide_conquer(self, strs: List[str]) -> str:
        if not strs:
            return ""

        def merge(left, right):
            n = min(len(left), len(right))
            for i in range(n):
                if left[i] != right[i]:
                    return left[:i]
            return left[:n]

        def find(strs, start, end):
            if start == end:
                return strs[start]
            mid = start + (end - start) // 2
            left = find(strs, start, mid)
            right = find(strs, mid + 1, end)
            return merge(left, right)

        return find(strs, 0, len(strs) - 1)

    def binary_search(self, strs: List[str]) -> str:
        if not strs:
            return ""

        def isCommonPrefix(strs, length):
            prefix = strs[0][:length]
            return all(s.startswith(prefix) for s in strs)

        minLen = min(len(s) for s in strs)
        low, high = 0, minLen
        while low < high:
            mid = low + (high - low) // 2
            if isCommonPrefix(strs, mid + 1):
                low = mid + 1
            else:
                high = mid

        return strs[0][:low]


if __name__ == "__main__":
    solution = longestCommonPrefix()
    strs = ["flower", "flow", "flight"]
    assert solution.horizontal_scan(strs) == "fl"
    assert solution.vertical_scan(strs) == "fl"
    assert solution.divide_conquer(strs) == "fl"
    assert solution.binary_search(strs) == "fl"

42. Trapping Rain Water

  • LeetCode | 力扣

  • Tags: Array, Two Pointers, Dynamic Programming, Stack, Monotonic Stack

"""
- ![42](../../assets/0042.png)

<iframe width="560" height="315" src="https://www.youtube.com/embed/ZI2z5pq0TqA?si=OEYg01dbmzvmtIwZ" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

| Approach   | Time | Space |
| ---------- | ---- | ----- |
| DP         | O(N) | O(N)  |
| Left Right | O(N) | O(1)  |
| Monotonic  | O(N) | O(N)  |
"""

from typing import List


# DP
def trapDP(height: List[int]) -> int:
    if not height:
        return 0

    n = len(height)
    maxLeft, maxRight = [0 for _ in range(n)], [0 for _ in range(n)]

    for i in range(1, n):
        maxLeft[i] = max(maxLeft[i - 1], height[i - 1])

    for i in range(n - 2, -1, -1):
        maxRight[i] = max(maxRight[i + 1], height[i + 1])

    res = 0
    for i in range(n):
        res += max(0, min(maxLeft[i], maxRight[i]) - height[i])

    return res


# Left Right Pointers
def trapLR(height: List[int]) -> int:
    if not height:
        return 0

    left, right = 0, len(height) - 1
    maxL, maxR = height[left], height[right]
    res = 0

    while left < right:
        if maxL < maxR:
            left += 1
            maxL = max(maxL, height[left])
            res += maxL - height[left]
        else:
            right -= 1
            maxR = max(maxR, height[right])
            res += maxR - height[right]

    return res


# Monotonic Stack
def trapStack(height: List[int]) -> int:
    stack = []
    total = 0

    for i in range(len(height)):
        while stack and height[i] > height[stack[-1]]:
            top = stack.pop()
            if not stack:
                break
            distance = i - stack[-1] - 1
            bounded_height = min(height[i], height[stack[-1]]) - height[top]
            total += distance * bounded_height
        stack.append(i)

    return total


height = [0, 1, 0, 2, 1, 0, 1, 3, 2, 1, 2, 1]
print(trapDP(height))  # 6
print(trapLR(height))  # 6
print(trapStack(height))  # 6
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;

class Solution
{
public:
    int trap(vector<int> &height)
    {
        if (height.empty())
            return 0;

        int res = 0;
        int left = 0, right = height.size() - 1;
        int maxL = height[left], maxR = height[right];

        while (left < right)
        {
            if (maxL < maxR)
            {
                left++;
                maxL = max(maxL, height[left]);
                res += maxL - height[left];
            }
            else
            {
                right--;
                maxR = max(maxR, height[right]);
                res += maxR - height[right];
            }
        }
        return res;
    }
};

int main()
{
    vector<int> height = {0, 1, 0, 2, 1, 0, 1, 3, 2, 1, 2, 1};
    Solution solution;
    cout << solution.trap(height) << endl;
    return 0;
}

3. Longest Substring Without Repeating Characters

"""
- Classic variable sliding window problem. Use a set to keep track of the characters in the current window.
- Return the length of the longest substring without repeating characters.
- [Template tutorial by 灵山茶艾府](https://leetcode.cn/problems/longest-substring-without-repeating-characters/solutions/1959540/xia-biao-zong-suan-cuo-qing-kan-zhe-by-e-iaks)
"""

from collections import defaultdict


# Sliding Window Variable Max - HashMap
def lengthOfLongestSubstringHash(s: str) -> int:
    n = len(s)
    if n <= 1:
        return n

    left = 0
    cnt = defaultdict(int)
    res = 0

    for right in range(n):
        cnt[s[right]] += 1

        while cnt[s[right]] > 1:
            cnt[s[left]] -= 1
            left += 1

        res = max(res, right - left + 1)

    return res


# Sliding Window Variable Max - Set
def lengthOfLongestSubstringSet(s: str) -> int:
    n = len(s)
    if n <= 1:
        return n

    left = 0
    res = 0
    window = set()

    for right in range(n):
        while left < right and s[right] in window:
            window.remove(s[left])
            left += 1
        window.add(s[right])
        res = max(res, right - left + 1)

    return res


if __name__ == "__main__":
    s = "abcabcbb"
    assert lengthOfLongestSubstringHash(s) == 3
    assert lengthOfLongestSubstringSet(s) == 3
#include <iostream>
#include <string>
#include <unordered_set>
using namespace std;

int lengthOfLongestSubstring(string s) {
    int n = s.length();
    int res = 0;
    int left = 0;
    unordered_set<char> window;

    for (int right = 0; right < n; right++) {
        char ch = s[right];

        while (window.find(ch) != window.end()) {
            window.erase(s[left]);
            left++;
        }

        window.insert(ch);
        res = max(res, right - left + 1);
    }
    return (int)res;
}

int main() {
    string s = "abcabcbb";
    cout << lengthOfLongestSubstring(s) << endl;  // 3
    s = "bbbbb";
    cout << lengthOfLongestSubstring(s) << endl;  // 1
    s = "pwwkew";
    cout << lengthOfLongestSubstring(s) << endl;  // 3
    return 0;
}

26. Remove Duplicates from Sorted Array

"""
-   Remove duplicates in-place.
"""

from typing import List


def removeDuplicates(nums: List[int]) -> int:
    fast, slow = 1, 1

    while fast < len(nums):
        if nums[fast] != nums[fast - 1]:
            nums[slow] = nums[fast]
            slow += 1
        fast += 1

    return slow


nums = [1, 1, 2]
print(removeDuplicates(nums))  # 2
#include <cassert>
#include <vector>
using namespace std;

class Solution {
   public:
    int removeDuplicates(vector<int>& nums) {
        int fast = 1, slow = 1;
        int n = nums.size();

        while (fast < n) {
            if (nums[fast] != nums[fast - 1]) {
                nums[slow] = nums[fast];
                slow++;
            }
            fast++;
        }
        return slow;
    }
};

int main() {
    Solution solution;
    vector<int> nums = {0, 0, 1, 1, 1, 2, 2, 3, 3, 4};
    assert(solution.removeDuplicates(nums) == 5);
    return 0;
}

20. Valid Parentheses

# Stack
def is_valid(s: str) -> bool:
    if len(s) % 2:
        return False

    pairs = {
        "(": ")",
        "{": "}",
        "[": "]",
    }
    stack = []
    for ch in s:
        if ch in pairs:
            stack.append(ch)
        elif not stack or ch != pairs[stack.pop()]:
            return False

    return True if not stack else False


def test_is_valid():
    assert is_valid("()[]{}")
    assert not is_valid("(]")
    assert not is_valid("([)]")
    assert is_valid("{[]}")
#include <cassert>
#include <stack>
#include <string>
#include <unordered_map>
using namespace std;

class Solution {
   public:
    bool isValid(string s) {
        unordered_map<char, char> map{{')', '('}, {'}', '{'}, {']', '['}};
        stack<char> stack;
        if (s.length() % 2 == 1) return false;

        for (char& ch : s) {
            if (stack.empty() || map.find(ch) == map.end()) {
                stack.push(ch);
            } else {
                if (map[ch] != stack.top()) {
                    return false;
                }
                stack.pop();
            }
        }
        return stack.empty();
    }
};

int main() {
    Solution s;
    assert(s.isValid("()") == true);
    assert(s.isValid("()[]{}") == true);
    assert(s.isValid("(]") == false);
    assert(s.isValid("([)]") == false);
    assert(s.isValid("{[]}") == true);
    return 0;
}

11. Container With Most Water

"""
- Return the maximum area of water that can be trapped between the vertical lines.

![11](https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/17/question_11.jpg)
"""

from typing import List


# Brute Force
def maxAreaBF(height: List[int]) -> int:
    max_area = 0

    for i in range(len(height)):
        for j in range(i + 1, len(height)):
            h = min(height[i], height[j])
            w = j - i
            max_area = max(max_area, h * w)

    return max_area


# Left Right Pointers
def maxAreaLR(height: List[int]) -> int:
    left, right = 0, len(height) - 1
    res = 0

    while left < right:
        h = min(height[left], height[right])
        w = right - left
        res = max(res, h * w)

        if height[left] < height[right]:
            left += 1
        else:
            right -= 1

    return res


# |------------|------- |---------|
# |  Approach  |  Time  |  Space  |
# |------------|--------|---------|
# | Brute Force| O(n^2) |  O(1)   |
# | Left Right |  O(n)  |  O(1)   |
# |------------|--------|---------|


height = [1, 8, 6, 2, 5, 4, 8, 3, 7]
print(maxAreaBF(height))  # 49
print(maxAreaLR(height))  # 49
#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;

int maxArea(vector<int>& height) {
    int left = 0, right = height.size() - 1;
    int res = 0;

    while (left < right) {
        int h = min(height[left], height[right]);
        int w = right - left;
        res = max(res, h * w);

        if (height[left] < height[right])
            left++;
        else
            right--;
    }
    return res;
}

int main() {
    vector<int> height = {1, 8, 6, 2, 5, 4, 8, 3, 7};
    cout << maxArea(height) << endl;  // 49
    return 0;
}

5. Longest Palindromic Substring

"""
-   Return the longest palindromic substring in `s`.
"""


# DP - Interval
def longestPalindromeDP(s: str) -> str:
    n = len(s)
    if n <= 1:
        return s

    start, maxLen = 0, 1

    # Init
    dp = [[0] * n for _ in range(n)]
    for i in range(n):
        dp[i][i] = 1

    for j in range(1, n):
        for i in range(j):
            if s[i] == s[j]:
                if j - i <= 2:
                    dp[i][j] = 1
                else:
                    dp[i][j] = dp[i + 1][j - 1]

                if dp[i][j] and j - i + 1 > maxLen:
                    maxLen = j - i + 1
                    start = i

    return s[start : start + maxLen]


# Expand Around Center
def longestPalindromeCenter(s: str) -> str:
    def expand_around_center(left, right):
        while left >= 0 and right < len(s) and s[left] == s[right]:
            left -= 1
            right += 1
        return right - left - 1

    if len(s) <= 1:
        return s

    start, end = 0, 0
    for i in range(len(s)):
        len1 = expand_around_center(i, i)  # odd
        len2 = expand_around_center(i, i + 1)  # even

        maxLen = max(len1, len2)
        if maxLen > end - start:
            start = i - (maxLen - 1) // 2
            end = i + maxLen // 2

    return s[start : end + 1]


s = "babad"
print(longestPalindromeDP(s))  # "bab"
print(longestPalindromeCenter(s))  # "aba"

13. Roman to Integer

from itertools import pairwise


# Arrays
def romanToInt(s: str) -> int:
    ROMAN = {
        "I": 1,
        "V": 5,
        "X": 10,
        "L": 50,
        "C": 100,
        "D": 500,
        "M": 1000,
    }

    res = 0

    for x, y in pairwise(s):
        x, y = ROMAN[x], ROMAN[y]
        res += x if x >= y else -x

    return res + ROMAN[s[-1]]


if __name__ == "__main__":
    assert romanToInt("III") == 3
    assert romanToInt("IV") == 4
    assert romanToInt("IX") == 9
    assert romanToInt("LVIII") == 58
    assert romanToInt("MCMXCIV") == 1994
    assert romanToInt("MMXXIII") == 2023

22. Generate Parentheses

from typing import List


# Backtracking
def generateParenthesis1(n: int) -> List[str]:
    path, res = [], []

    def dfs(openN, closeN):
        if openN == closeN == n:
            res.append("".join(path))
            return

        if openN < n:
            path.append("(")
            dfs(openN + 1, closeN)
            path.pop()

        if closeN < openN:
            path.append(")")
            dfs(openN, closeN + 1)
            path.pop()

    dfs(0, 0)

    return res


# Backtracking
def generateParenthesis2(n: int) -> List[str]:
    m = n * 2
    res, path = [], [""] * m

    def dfs(i, left):
        if i == m:
            res.append("".join(path))
            return

        if left < n:
            path[i] = "("
            dfs(i + 1, left + 1)
        if i - left < left:
            path[i] = ")"
            dfs(i + 1, left)

    dfs(0, 0)
    return res


if __name__ == "__main__":
    print(generateParenthesis1(3))
    # ['((()))', '(()())', '(())()', '()(())', '()()()']
    print(generateParenthesis2(3))
    # ['((()))', '(()())', '(())()', '()(())', '()()()']

128. Longest Consecutive Sequence

from typing import List


# Set
def longestConsecutiveSet(nums: List[int]) -> int:
    num_set = set(nums)  # O(n)
    longest = 0

    for n in nums:
        if (n - 1) not in num_set:  # left boundary
            length = 1

            while (n + length) in num_set:
                length += 1

            longest = max(longest, length)

    return longest


# Union Find
def longestConsecutiveUF(nums: List[int]) -> int:
    if not nums:
        return 0

    par = {num: num for num in nums}
    rank = {num: 1 for num in nums}

    def find(num):
        p = par[num]
        while p != par[p]:
            p = par[p]
        return p

    def union(num1, num2):
        p1, p2 = find(num1), find(num2)
        if p1 == p2:
            return

        if rank[p1] < rank[p2]:
            par[p1] = p2
            rank[p2] += rank[p1]
        else:
            par[p2] = p1
            rank[p1] += rank[p2]

    for num in nums:
        if num - 1 in par:
            union(num, num - 1)

    return max(rank.values())


# |------------|------- |---------|
# |  Approach  |  Time  |  Space  |
# |------------|--------|---------|
# |  Set       |  O(N)  |  O(N)   |
# | Union Find |  O(N)  |  O(N)   |
# |------------|--------|---------|


nums = [100, 4, 200, 1, 3, 2]
print(longestConsecutiveSet(nums))  # 4
print(longestConsecutiveUF(nums))  # 4

21. Merge Two Sorted Lists

"""
-   Task: Merge the two linked lists into one sorted list.
"""

from typing import Optional

from leetpattern.utils import ListNode


# Linked List
def merge_two_lists(
    list1: Optional[ListNode], list2: Optional[ListNode]
) -> Optional[ListNode]:
    dummy = ListNode()
    cur = dummy

    while list1 and list2:
        if list1.val < list2.val:
            cur.next = list1
            list1 = list1.next
        else:
            cur.next = list2
            list2 = list2.next
        cur = cur.next

    if list1:
        cur.next = list1
    elif list2:
        cur.next = list2

    return dummy.next
#include <cassert>
#include <iostream>
#include <vector>
using namespace std;

struct ListNode {
    int val;
    ListNode* next;
    ListNode() : val(0), next(nullptr) {}
    ListNode(int x) : val(x), next(nullptr) {}
    ListNode(int x, ListNode* next) : val(x), next(next) {}
};

class Solution {
   public:
    ListNode* mergeTwoLists(ListNode* list1, ListNode* list2) {
        ListNode dummy;
        ListNode* cur = &dummy;

        while (list1 && list2) {
            if (list1->val < list2->val) {
                cur->next = list1;
                list1 = list1->next;
            } else {
                cur->next = list2;
                list2 = list2->next;
            }
            cur = cur->next;
        }

        cur->next = list1 ? list1 : list2;

        return dummy.next;
    }
};

int main() {
    Solution sol;
    ListNode* list1 = new ListNode(1, new ListNode(2, new ListNode(4)));
    ListNode* list2 = new ListNode(1, new ListNode(3, new ListNode(4)));
    ListNode* merged = sol.mergeTwoLists(list1, list2);
    vector<int> res;
    while (merged) {
        res.push_back(merged->val);
        merged = merged->next;
    }
    assert(res == std::vector<int>({1, 1, 2, 3, 4, 4}));
    return 0;
}

560. Subarray Sum Equals K

from collections import defaultdict
from typing import List


# Prefix Sum
def subarraySum(nums: List[int], k: int) -> int:
    preSums = defaultdict(int)
    preSums[0] = 1
    curSum = 0
    res = 0

    for num in nums:
        curSum += num
        res += preSums[curSum - k]
        preSums[curSum] += 1

    return res


nums = [1, 1, 1]
k = 2
print(subarraySum(nums, k))  # 2
#include <iostream>
#include <unordered_map>
#include <vector>
using namespace std;

int subarraySum(vector<int>& nums, int k) {
    int n = nums.size();
    vector<int> prefixSum(n + 1);
    for (int i = 0; i < n; i++) {
        prefixSum[i + 1] = prefixSum[i] + nums[i];
    }

    int res = 0;
    unordered_map<int, int> cnt;

    for (int ps : prefixSum) {
        if (cnt.find(ps - k) != cnt.end()) res += cnt[ps - k];
        cnt[ps]++;
    }
    return res;
}

int main() {
    vector<int> nums = {1, 1, 1};
    int k = 2;
    cout << subarraySum(nums, k) << endl;  // 2
    return 0;
}

27. Remove Element

"""
-   Remove all instances of a given value in-place.
"""

from typing import List


# Fast Slow Pointers
def removeElement(nums: List[int], val: int) -> int:
    fast, slow = 0, 0

    while fast < len(nums):
        if nums[fast] != val:
            nums[slow] = nums[fast]
            slow += 1
        fast += 1

    return slow


nums = [0, 1, 2, 2, 3, 0, 4, 2]
val = 2
print(removeElement(nums, val))  # 5
#include <iostream>
#include <vector>
using namespace std;

// Fast Slow Pointers
int removeElement(vector<int>& nums, int val) {
    size_t n = nums.size();
    size_t slow = 0, fast = 0;

    while (fast < n) {
        if (nums[fast] != val) {
            nums[slow] = nums[fast];
            slow++;
        }
        fast++;
    }
    return (int)slow;
}

int main() {
    vector<int> nums = {3, 2, 2, 3};
    int val = 3;
    cout << removeElement(nums, val) << endl;  // 2
    return 0;
}

31. Next Permutation

from typing import List


def nextPermutation(nums: List[int]) -> None:
    """
    Do not return anything, modify nums in-place instead.
    """
    n = len(nums)
    i = n - 1
    while i > 0 and nums[i - 1] >= nums[i]:
        i -= 1
    if i != 0:
        j = n - 1
        while nums[j] <= nums[i - 1]:
            j -= 1
        nums[i - 1], nums[j] = nums[j], nums[i - 1]

    left, right = i, n - 1
    while left < right:
        nums[left], nums[right] = nums[right], nums[left]
        left += 1
        right -= 1


nums = [1, 2, 3]
nextPermutation(nums)
print(nums)  # [1, 3, 2]
nums = [1, 2, 3, 4, 6, 5]
nextPermutation(nums)
print(nums)  # [1, 2, 3, 5, 4, 6]

53. Maximum Subarray

  • LeetCode | 力扣

  • Tags: Array, Divide And Conquer, Dynamic Programming

from typing import List


# DP Kadane
def maxSubArrayDP(nums: List[int]) -> int:
    dp = [0 for _ in range(len(nums))]

    dp[0] = nums[0]
    maxSum = nums[0]

    for i in range(1, len(nums)):
        dp[i] = max(
            dp[i - 1] + nums[i],  # continue the previous subarray
            nums[i],  # start a new subarray
        )
        maxSum = max(maxSum, dp[i])

    return maxSum


# Greedy
def maxSubArrayGreedy(nums: List[int]) -> int:
    max_sum = nums[0]
    cur_sum = 0

    for num in nums:
        cur_sum = max(cur_sum + num, num)
        max_sum = max(max_sum, cur_sum)

    return max_sum


# Prefix Sum
def maxSubArrayPrefixSum(nums: List[int]) -> int:
    prefix_sum = 0
    prefix_sum_min = 0
    res = float("-inf")

    for num in nums:
        prefix_sum += num
        res = max(res, prefix_sum - prefix_sum_min)
        prefix_sum_min = min(prefix_sum_min, prefix_sum)

    return res


nums = [-2, 1, -3, 4, -1, 2, 1, -5, 4]
print(maxSubArrayDP(nums))  # 6
print(maxSubArrayGreedy(nums))  # 6
print(maxSubArrayPrefixSum(nums))  # 6

7. Reverse Integer

# Math
def reverse(x: int) -> int:
    INT_MAX = 2**31 - 1

    sign = -1 if x < 0 else 1
    x = abs(x)
    res = 0

    while x != 0:
        x, pop = divmod(x, 10)

        if res > (INT_MAX - pop) // 10:
            return 0

        res = res * 10 + pop

    return res * sign


print(reverse(123))  # 321
print(reverse(-123))  # -321

6. Zigzag Conversion

118. Pascal's Triangle

"""
-   Generate the first `numRows` of Pascal's triangle.

```plaintext
                 numRows
     1              1
    1 1             2
   1 2 1            3
  1 3 3 1           4
 1 4 6 4 1          5
"""

from typing import List

def generate(numRows: int) -> List[List[int]]: dp = [[1] * i for i in range(1, numRows + 1)]

if numRows <= 2:
    return dp

for i in range(2, numRows):
    for j in range(1, i):
        dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j]

return dp

if name == "main": print(generate(numRows=5)) # [[1], # [1, 1], # [1, 2, 1], # [1, 3, 3, 1], # [1, 4, 6, 4, 1]]

```

394. Decode String

# Stack
def decodeString(s: str) -> str:
    stack = []  # (str, int)
    num = 0
    res = ""

    for c in s:
        if c.isdigit():
            num = num * 10 + int(c)
        elif c == "[":
            stack.append((res, num))
            res, num = "", 0
        elif c == "]":
            top = stack.pop()
            res = top[0] + res * top[1]
        else:
            res += c

    return res


s = "3[a2[c]]"
print(decodeString(s))  # accaccacc

242. Valid Anagram

"""
-   Return true if an input string is an anagram of another string.
-   An anagram is a word or phrase formed by rearranging the letters of a different word or phrase, typically using all the original letters exactly once, e.g., `listen` is an anagram of `silent`.
"""

from collections import Counter


# Hashmap
def isAnagramHash(s: str, t: str) -> bool:
    """Return True if t is an anagram of s, False otherwise."""
    if len(s) != len(t):
        return False

    count = dict()

    for i in s:
        if i in count:
            count[i] += 1
        else:
            count[i] = 1

    for j in t:
        if j in count:
            count[j] -= 1
        else:
            return False

    for count in count.values():
        if count != 0:
            return False

    return True


# Array
def isAnagramArray(s: str, t: str) -> bool:
    if len(s) != len(t):
        return False

    count = [0 for _ in range(26)]

    for i in s:
        count[ord(i) - ord("a")] += 1

    for j in t:
        count[ord(j) - ord("a")] -= 1

    for i in count:
        if i != 0:
            return False

    return True


# Counter
def isAnagramCounter(s: str, t: str) -> bool:
    return Counter(s) == Counter(t)


# |-------------|-----------------|--------------|
# |  Approach   |      Time       |    Space     |
# |-------------|-----------------|--------------|
# |   Hashmap   |       O(n)      |     O(1)     |
# |    Array    |       O(n)      |     O(1)     |
# |   Counter   |       O(n)      |     O(1)     |
# |-------------|-----------------|--------------|


s = "anagram"
t = "nagaram"
print(isAnagramHash(s, t))  # True
print(isAnagramArray(s, t))  # True
print(isAnagramCounter(s, t))  # True
#include <cassert>
#include <string>
#include <vector>
using namespace std;

class Solution {
   public:
    bool isAnagram(string s, string t) {
        if (s.size() != t.size()) return false;

        vector<int> count(26, 0);

        for (char ch : s) count[ch - 'a']++;
        for (char ch : t) count[ch - 'a']--;
        for (int c : count) {
            if (c != 0) return false;
        }

        return true;
    }
};

int main() {
    Solution solution;
    assert(solution.isAnagram("anagram", "nagaram") == true);
    assert(solution.isAnagram("rat", "car") == false);
    assert(solution.isAnagram("a", "ab") == false);
    assert(solution.isAnagram("a", "a") == true);
    return 0;
}

18. 4Sum

from typing import List


# Left Right Pointers
def fourSum(nums: List[int], target: int) -> List[List[int]]:
    """Returns all unique quadruplets that sum up to the target."""
    nums.sort()
    result = []

    for i in range(len(nums) - 3):
        if i > 0 and nums[i] == nums[i - 1]:
            continue

        for j in range(i + 1, len(nums) - 2):
            if j > i + 1 and nums[j] == nums[j - 1]:
                continue

            left = j + 1
            right = len(nums) - 1

            while left < right:
                total = nums[i] + nums[j] + nums[left] + nums[right]

                if total > target:
                    right -= 1
                elif total < target:
                    left += 1
                else:
                    result.append([nums[i], nums[j], nums[left], nums[right]])
                    while left < right and nums[left] == nums[left + 1]:
                        left += 1
                    while left < right and nums[right] == nums[right - 1]:
                        right -= 1
                    left += 1
                    right -= 1

    return result


nums = [1, 0, -1, 0, -2, 2]
target = 0
print(fourSum(nums, target))
# [[-2, -1, 1, 2], [-2, 0, 0, 2], [-1, 0, 0, 1]]

50. Pow(x, n)

# Iterative
def myPowIterative(x: float, n: int) -> float:
    if n == 0:
        return 1
    if n < 0:
        x = 1 / x
        n = -n

    result = 1
    cur = x

    while n > 0:
        if n % 2 == 1:
            result *= cur

        cur *= cur
        n //= 2

    return result


# Recursive
def myPowRecursive(x: float, n: int) -> float:
    if n == 0:
        return 1
    if n < 0:
        x = 1 / x
        n = -n

    if n % 2 == 0:
        return myPowRecursive(x * x, n // 2)
    else:
        return x * myPowRecursive(x * x, n // 2)


x = 2.00000
n = 10
print(myPowIterative(x, n))  # 1024.0
print(myPowRecursive(x, n))  # 1024.0

54. Spiral Matrix

"""
-   Return all elements of the matrix in spiral order.
"""

from typing import List


# Array
def spiralOrder(matrix: List[List[int]]) -> List[int]:
    if not matrix or not matrix[0]:
        return []

    res = []
    top, bottom = 0, len(matrix) - 1
    left, right = 0, len(matrix[0]) - 1

    while top <= bottom and left <= right:

        for i in range(left, right + 1):
            res.append(matrix[top][i])
        top += 1

        for i in range(top, bottom + 1):
            res.append(matrix[i][right])
        right -= 1

        if top <= bottom:

            for i in range(right, left - 1, -1):
                res.append(matrix[bottom][i])
            bottom -= 1

        if left <= right:

            for i in range(bottom, top - 1, -1):
                res.append(matrix[i][left])
            left += 1

    return res


# Math
def spiralOrderMath(matrix: List[List[int]]) -> List[int]:
    dirs = [[0, 1], [1, 0], [0, -1], [-1, 0]]  # Right Down Left Up
    m, n = len(matrix), len(matrix[0])
    size = m * n
    res = []
    i, j, di = 0, -1, 0

    while len(res) < size:
        dx, dy = dirs[di]
        for _ in range(n):
            i += dx
            j += dy
            res.append(matrix[i][j])
        di = (di + 1) % 4
        n, m = m - 1, n

    return res


print(spiralOrder([[1, 2, 3], [4, 5, 6], [7, 8, 9]]))
# [1, 2, 3, 6, 9, 8, 7, 4, 5]
print(spiralOrderMath([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]))
# [1, 2, 3, 4, 8, 12, 11, 10, 9, 5, 6, 7]