花花酱 LeetCode 812. Largest Triangle Area

By zxi on April 8, 2018

Problem

题目大意：给你一些点，求用这些点能够成的最大的三角形面积是多少？

https://leetcode.com/problems/largest-triangle-area/description/

You have a list of points in the plane. Return the area of the largest triangle that can be formed by any 3 of the points.

Example:
Input: points = [[0,0],[0,1],[1,0],[0,2],[2,0]]
Output: 2
Explanation: 
The five points are show in the figure below. The red triangle is the largest.

Notes:

3 <= points.length <= 50.
No points will be duplicated.
-50 <= points[i][j] <= 50.
Answers within 10^-6 of the true value will be accepted as correct.

Solution: Brute Force

Time complexity: O(n^3)

Space complexity: O(1)

// Author: Huahua

// Running time: 11 ms

class Solution {

public:

double largestTriangleArea(vector<vector<int>>& points) {

const int n = points.size();

double best = 0.0;

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

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

for (int k = j + 1; k < n; ++k) {

const double a = dist(points[i], points[j]);

const double b = dist(points[i], points[k]);

const double c = dist(points[j], points[k]);

const double s = (a + b + c) / 2;

const double area = sqrt(s * (s - a) * (s - b) * (s - c));

best = max(best, area);

}

return best;

}

private:

static inline double dist(const vector<int>& p1, const vector<int>& p2) {

return sqrt((p1[0] - p2[0]) * (p1[0] - p2[0]) + (p1[1] - p2[1]) * (p1[1] - p2[1]));

}

};

花花酱 LeetCode 814. Binary Tree Pruning

By zxi on April 7, 2018

Problem:

题目大意：把不含有1的节点的子树全部删除。

https://leetcode.com/problems/binary-tree-pruning/description/

We are given the head node root of a binary tree, where additionally every node’s value is either a 0 or a 1.

Return the same tree where every subtree (of the given tree) not containing a 1 has been removed.

(Recall that the subtree of a node X is X, plus every node that is a descendant of X.)

Example 1:
Input: [1,null,0,0,1]
Output: [1,null,0,null,1]
 
Explanation: 
Only the red nodes satisfy the property "every subtree not containing a 1".
The diagram on the right represents the answer.

Example 2:
Input: [1,0,1,0,0,0,1]
Output: [1,null,1,null,1]

Example 3:
Input: [1,1,0,1,1,0,1,0]
Output: [1,1,0,1,1,null,1]

Note:

The binary tree will have at most 100 nodes.
The value of each node will only be 0 or 1.

Solution: Recursion

Time complexity: O(n)

Space complexity: O(h)

C++

// Author: Huahua

// Running time: 6 ms

class Solution {

public:

TreeNode* pruneTree(TreeNode* root) {

if (!root) return root;

root->left = pruneTree(root->left);

root->right = pruneTree(root->right);

if (root->val == 1 || root->left || root->right)

return root;

delete root;

return nullptr;

}

};

Java

// Author: Huahua

// Running time: 2 ms

class Solution {

public TreeNode pruneTree(TreeNode root) {

if (root == null) return root;

root.left = pruneTree(root.left);

root.right = pruneTree(root.right);

return (root.val == 1 || root.left != null || root.right != null) ? root : null;

}

Python3

// Author: Huahua

// Running time: 36 ms

class Solution:

def pruneTree(self, root):

if not root: return root

root.left = self.pruneTree(root.left)

root.right = self.pruneTree(root.right)

return root if root.val == 1 or root.left or root.right else None

花花酱 LeetCode 432. All O`one Data Structure

By zxi on April 6, 2018

Problem

题目大意：设计一种数据结构，支持inc/dec/getmaxkey/getminkey操作，必须都在O(1)时间内完成。

https://leetcode.com/problems/all-oone-data-structure/description/

Implement a data structure supporting the following operations:

Inc(Key) – Inserts a new key with value 1. Or increments an existing key by 1. Key is guaranteed to be a non-empty string.
Dec(Key) – If Key’s value is 1, remove it from the data structure. Otherwise decrements an existing key by 1. If the key does not exist, this function does nothing. Key is guaranteed to be a non-empty string.
GetMaxKey() – Returns one of the keys with maximal value. If no element exists, return an empty string "".
GetMinKey() – Returns one of the keys with minimal value. If no element exists, return an empty string "".

Challenge: Perform all these in O(1) time complexity.

Solution

Time complexity: O(1)

Space complexity: O(n), n = # of unique keys

// Author: Huahua

// Running time: 32 ms

class AllOne {

public:

/** Initialize your data structure here. */

AllOne() {}

/** Inserts a new key <Key> with value 1. Or increments an existing key by 1. */

void inc(string key) {

auto it = m_.find(key);

if (it == m_.end()) {

if (l_.empty() || l_.front().value != 1)

l_.push_front({1, {key}});

else

l_.front().keys.insert(key);

m_[key] = l_.begin();

return;

}

auto lit = it->second;

auto nit = next(lit);

if (nit == l_.end() || nit->value != lit->value + 1)

nit = l_.insert(nit, {lit->value + 1, {}});

nit->keys.insert(key);

m_[key] = nit;

remove(lit, key);

}

/** Decrements an existing key by 1. If Key's value is 1, remove it from the data structure. */

void dec(string key) {

auto it = m_.find(key);

if (it == m_.end()) return;

auto lit = it->second;

if (lit->value > 1) {

auto pit = prev(lit);

if (lit == l_.begin() || pit->value != lit->value - 1)

pit = l_.insert(lit, {lit->value - 1, {}});

pit->keys.insert(key);

m_[key] = pit;

} else {

// value == 1, remove from the data structure

m_.erase(key);

}

remove(lit, key);

}

/** Returns one of the keys with maximal value. */

string getMaxKey() {

return l_.empty() ? "" : *l_.back().keys.cbegin();

}

/** Returns one of the keys with Minimal value. */

string getMinKey() {

return l_.empty() ? "" : *l_.front().keys.cbegin();

}

private:

struct Node {

int value;

unordered_set<string> keys;

};

list<Node> l_;

unordered_map<string, list<Node>::iterator> m_;

// Remove from old node.

void remove(list<Node>::iterator it, const string& key) {

it->keys.erase(key);

if (it->keys.empty())

l_.erase(it);

}

};

Problem

题目大意：给你一个数组，每次可以把其中n-1个数加1，问最少需要多少次操作可以使得数组中的元素都相等。

https://leetcode.com/problems/minimum-moves-to-equal-array-elements/description/

Given a non-empty integer array of size n, find the minimum number of moves required to make all array elements equal, where a move is incrementing n – 1 elements by 1.

Example:

Input:
[1,2,3]

Output:
3

Explanation:
Only three moves are needed (remember each move increments two elements):

[1,2,3]  =>  [2,3,3]  =>  [3,4,3]  =>  [4,4,4]

Idea

Assuming the sum of array is S, the minimum element of the array is min and minimum number of moves is m.

Each move will increase the sum of array by n – 1. Finally, every element becomes x. So we have:

S + (n – 1) * m = x * n
min + m = x

We got: m = S – n * min

Solution: Math

Time complexity: O(n)

Space complexity: O(1)

C++

// Author: Huahua

// Running time: 51 ms

class Solution {

public:

int minMoves(const vector<int>& a) {

return accumulate(a.begin(), a.end(), 0L) - a.size() * *min_element(a.begin(), a.end());

}

};

Python

"""

Author: Huahua

Running time: 104 ms

"""

class Solution:

def minMoves(self, nums):

return sum(nums) - len(nums) * min(nums)

花花酱 LeetCode 627. Swap Salary

By zxi on April 3, 2018

Problem

https://leetcode.com/problems/swap-salary/description/

Given a table salary, such as the one below, that has m=male and f=female values. Swap all f and m values (i.e., change all f values to m and vice versa) with a single update query and no intermediate temp table.For example:

| id | name | sex | salary |
|----|------|-----|--------|
| 1  | A    | m   | 2500   |
| 2  | B    | f   | 1500   |
| 3  | C    | m   | 5500   |
| 4  | D    | f   | 500    |

After running your query, the above salary table should have the following rows:

| id | name | sex | salary |
|----|------|-----|--------|
| 1  | A    | f   | 2500   |
| 2  | B    | m   | 1500   |
| 3  | C    | f   | 5500   |
| 4  | D    | m   | 500    |

Solution: XOR

# Author: Huahua

# Running time: 309 ms

update salary set sex = char(ascii('f') ^ ascii('m') ^ ascii(sex))

Huahua's Tech Road

花花酱 LeetCode 812. Largest Triangle Area

Problem

Solution: Brute Force

花花酱 LeetCode 814. Binary Tree Pruning

Problem:

Solution: Recursion

花花酱 LeetCode 432. All O`one Data Structure

Problem

Solution

Related Problems

花花酱 LeetCode 453. Minimum Moves to Equal Array Elements

Problem

Idea

Solution: Math

花花酱 LeetCode 627. Swap Salary

Problem

Solution: XOR