花花酱 LeetCode 463. Island Perimeter

By zxi on August 17, 2018

Problem

You are given a map in form of a two-dimensional integer grid where 1 represents land and 0 represents water. Grid cells are connected horizontally/vertically (not diagonally). The grid is completely surrounded by water, and there is exactly one island (i.e., one or more connected land cells). The island doesn’t have “lakes” (water inside that isn’t connected to the water around the island). One cell is a square with side length 1. The grid is rectangular, width and height don’t exceed 100. Determine the perimeter of the island.

Example:

[[0,1,0,0],
 [1,1,1,0],
 [0,1,0,0],
 [1,1,0,0]]

Answer: 16
Explanation: The perimeter is the 16 yellow stripes in the image below:

Solution: Counting

If a land has 0 neighbour, it contributes 4 to the perimeter

If a land has 1 neighbour, it contributes 3 to the perimeter

If a land has 2 neighbours, it contributes 2 to the perimeter

If a land has 3 neighbours, it contributes 1 to the perimeter

If a land has 4 neighbours, it contributes 0 to the perimeter

perimeter = area * 4 – total_neighbours

Time complexity: O(mn)

Space complexity: O(1)

// Author: Huahua

// Running time: 148 ms

class Solution {

public:

int islandPerimeter(vector<vector<int>>& grid) {

if (grid.empty()) return 0;

int m = grid.size();

int n = grid[0].size();

int area = 0;

int conn = 0;

for (int y = 0; y < m; ++y)

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

if (grid[y][x] == 1) {

++area;

if (y > 0 && grid[y - 1][x] == 1) ++conn;

if (x > 0 && grid[y][x - 1] == 1) ++conn;

}

return area*4 - conn*2;

}

};

花花酱 LeetCode 504. Base 7

By zxi on August 17, 2018

Problem

Given an integer, return its base 7 string representation.

Example 1:

Input: 100
Output: "202"

Example 2:

Input: -7
Output: "-10"

Note: The input will be in range of [-1e7, 1e7].

Solution: Simulation

Time complexity: O(logn)

Space complexity: O(logn)

// Author: Huahua

// Running time: 4 ms

class Solution {

public:

string convertToBase7(int num) {

bool is_nagetive = num<0;

num = abs(num);

string ans;

do {

ans += ('0' + (num % 7));

num /= 7;

} while (num > 0);

if (is_nagetive)

ans += "-";

reverse(begin(ans), end(ans));

return ans;

}

};

花花酱 LeetCode 551. Student Attendance Record I

By zxi on August 17, 2018

Problem

You are given a string representing an attendance record for a student. The record only contains the following three characters:

‘A’ : Absent.
‘L’ : Late.
‘P’ : Present.

A student could be rewarded if his attendance record doesn’t contain more than one ‘A’ (absent) or more than two continuous ‘L’ (late).

You need to return whether the student could be rewarded according to his attendance record.

Example 1:

Input: "PPALLP"
Output: True

Example 2:

Input: "PPALLL"
Output: False

Solution1: Simulation

Time complexity: O(n)

Space complexity: O(1)

// Author: Huahua

// Running time: 3 ms

class Solution {

public:

bool checkRecord(string s) {

int a{0};

int l{0};

for(char c: s) {

if (c == 'A') ++a;

if (c == 'L') ++l;

else l=0;

if (a > 1 || l > 2) return false;

}

return true;

}

};

Solution 2: Regex

// Author: Huahua

// Running time: 6 ms

class Solution {

public:

bool checkRecord(string s) {

return !std::regex_search(s, std::regex("A.*A|LLL"));

}

};

花花酱 LeetCode 303. Range Sum Query – Immutable

By zxi on August 17, 2018

Problem

Given an integer array nums, find the sum of the elements between indices i and j (i ≤ j), inclusive.

Example:

Given nums = [-2, 0, 3, -5, 2, -1]

sumRange(0, 2) -> 1
sumRange(2, 5) -> -1
sumRange(0, 5) -> -3

Note:

You may assume that the array does not change.
There are many calls to sumRange function.

Solution: Prefix sum

sums[i] = nums[0] + nums[1] + … + nums[i]

sumRange(i, j) = sums[j] – sums[i – 1]

Time complexity: pre-compute: O(n), query: O(1)

Space complexity: O(n)

// Author: Huahua

// Running time: 112 ms

class NumArray {

public:

NumArray(vector<int> nums): sums_(nums) {

if (nums.empty()) return;

for (int i = 1; i < nums.size();++i)

sums_[i] += sums_[i - 1];

}

int sumRange(int i, int j) {

if (i == 0) return sums_[j];

return sums_[j] - sums_[i-1];

}

private:

vector<int> sums_;

};

花花酱 LeetCode 655. Print Binary Tree

By zxi on August 17, 2018

Problem

Print a binary tree in an m*n 2D string array following these rules:

The row number m should be equal to the height of the given binary tree.
The column number n should always be an odd number.
The root node’s value (in string format) should be put in the exactly middle of the first row it can be put. The column and the row where the root node belongs will separate the rest space into two parts (left-bottom part and right-bottom part). You should print the left subtree in the left-bottom part and print the right subtree in the right-bottom part. The left-bottom part and the right-bottom part should have the same size. Even if one subtree is none while the other is not, you don’t need to print anything for the none subtree but still need to leave the space as large as that for the other subtree. However, if two subtrees are none, then you don’t need to leave space for both of them.
Each unused space should contain an empty string "".
Print the subtrees following the same rules.

Example 1:

Input:
     1
    /
   2
Output:
[["", "1", ""],
 ["2", "", ""]]

Example 2:

Input:
     1
    / \
   2   3
    \
     4
Output:
[["", "", "", "1", "", "", ""],
 ["", "2", "", "", "", "3", ""],
 ["", "", "4", "", "", "", ""]]

Example 3:

Input:
      1
     / \
    2   5
   / 
  3 
 / 
4 
Output:

[["",  "",  "", "",  "", "", "", "1", "",  "",  "",  "",  "", "", ""]
 ["",  "",  "", "2", "", "", "", "",  "",  "",  "",  "5", "", "", ""]
 ["",  "3", "", "",  "", "", "", "",  "",  "",  "",  "",  "", "", ""]
 ["4", "",  "", "",  "", "", "", "",  "",  "",  "",  "",  "", "", ""]]

Note: The height of binary tree is in the range of [1, 10].

Solution: Recursion

Compute the layers h of the tree.

shape of the output matrix: h * w (w = 2^h – 1)

pre-order to fill the output matrix

first layer’s root: y1 = 0, x1 = (l1 + r1) / 2 = (0 + w – 1) / 2 (center)

first layer’s left child (2nd layer): y2 = 1, x2 = (l2 + r2) = (l1 + (x1 – 1)) / 2 (center of the left half)

first layer’s right child(2nd layer): y1 = 2, x2 = (l2′ + r2′) = ((x1+1) + r1) / 2 (center of the right half)

…

Time complexity: O(m*n)

Space complexity: O(m*n)

C++

// Author: Huahua

// Running time: 4 ms

class Solution {

public:

vector<vector<string>> printTree(TreeNode* root) {

int h = getHeight(root);

int w = (1 << h) - 1; // 2 ^ h - 1

vector<vector<string>> ans(h, vector<string>(w, ""));

fill(root, ans, 0, 0, w - 1);

return ans;

}

private:

int getHeight(TreeNode* root) {

if (!root) return 0;

return max(getHeight(root->left), getHeight(root->right)) + 1;

}

void fill(TreeNode* root, vector<vector<string>>& ans, int h, int l, int r){

if (!root) return;

int mid = (l + r) / 2;

ans[h][mid] = std::to_string(root->val);

fill(root->left, ans, h + 1, l, mid - 1);

fill(root->right, ans, h + 1, mid + 1, r);

}

};

Python3

"""

Author: Huahua

Running time: 44 ms

"""

class Solution:

def printTree(self, root):

def height(root):

if not root: return 0

return max(height(root.left), height(root.right)) + 1

def fill(root, h, l, r):

if not root: return

mid = (l + r) // 2

m[h][mid] = str(root.val)

if root.left: fill(root.left, h + 1, l, mid - 1)

if root.right: fill(root.right, h + 1, mid + 1, r)

h = height(root)

w = 2**h - 1

m = [[""] * w for _ in range(h)]

fill(root, 0, 0, w - 1)

return m

Huahua's Tech Road

花花酱 LeetCode 463. Island Perimeter

Problem

Solution: Counting

花花酱 LeetCode 504. Base 7

Problem

Solution: Simulation

花花酱 LeetCode 551. Student Attendance Record I

Problem

Solution1: Simulation

Solution 2: Regex

花花酱 LeetCode 303. Range Sum Query – Immutable

Problem

Solution: Prefix sum

花花酱 LeetCode 655. Print Binary Tree

Problem

Solution: Recursion

C++

Python3