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Posts tagged as “easy”

花花酱 LeetCode 896. Monotonic Array

An array is monotonic if it is either monotone increasing or monotone decreasing.

An array A is monotone increasing if for all i <= jA[i] <= A[j].  An array A is monotone decreasing if for all i <= jA[i] >= A[j].

Return true if and only if the given array A is monotonic.

Solution: 

C++

Java

Python

花花酱 LeetCode 70. Climbing Stairs

Problem

You are climbing a stair case. It takes n steps to reach to the top.

Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?

Note: Given n will be a positive integer.

Example 1:

Input: 2
Output: 2
Explanation: There are two ways to climb to the top.
1. 1 step + 1 step
2. 2 steps

Example 2:

Input: 3
Output: 3
Explanation: There are three ways to climb to the top.
1. 1 step + 1 step + 1 step
2. 1 step + 2 steps
3. 2 steps + 1 step

 

 

Solution: DP

Time complexity: O(n)

Space complexity: O(n)

C++ O(n)

C++ O(1)

花花酱 LeetCode 893. Groups of Special-Equivalent Strings

Problem

You are given an array A of strings.

Two strings S and T are special-equivalent if after any number of moves, S == T.

move consists of choosing two indices i and j with i % 2 == j % 2, and swapping S[i] with S[j].

Now, a group of special-equivalent strings from A is a non-empty subset S of A such that any string not in S is not special-equivalent with any string in S.

Return the number of groups of special-equivalent strings from A.

Example 1:

Input: ["a","b","c","a","c","c"]
Output: 3
Explanation: 3 groups ["a","a"], ["b"], ["c","c","c"]

Example 2:

Input: ["aa","bb","ab","ba"]
Output: 4
Explanation: 4 groups ["aa"], ["bb"], ["ab"], ["ba"]

Example 3:

Input: ["abc","acb","bac","bca","cab","cba"]
Output: 3
Explanation: 3 groups ["abc","cba"], ["acb","bca"], ["bac","cab"]

Example 4:

Input: ["abcd","cdab","adcb","cbad"]
Output: 1
Explanation: 1 group ["abcd","cdab","adcb","cbad"]

Note:

  • 1 <= A.length <= 1000
  • 1 <= A[i].length <= 20
  • All A[i] have the same length.
  • All A[i] consist of only lowercase letters.

 

Solution: Signature

All Special-Equivalent Strings should have the same signature if we sort all the odd-index characters and all the even-index characters.

E.g. [“abcd”,”cdab”,”adcb”,”cbad”] are all in the same graph.

“abcd”: odd “ac”, even: “bd”
“cdab”: odd “ac”, even: “bd”
“adcb”: odd “ac”, even: “bd”
“cbad”: odd “ac”, even: “bd”

We can concatenate the odd and even strings to create a hashable signature.

Time complexity: O(n)

Space complexity: O(n)

C++

Java

Python

Python (1-linear)

花花酱 LeetCode 892. Surface Area of 3D Shapes

Problem

On a N * N grid, we place some 1 * 1 * 1 cubes.

Each value v = grid[i][j] represents a tower of v cubes placed on top of grid cell (i, j).

Return the total surface area of the resulting shapes.

Example 1:

Input: [[2]]
Output: 10

Example 2:

Input: [[1,2],[3,4]]
Output: 34

Example 3:

Input: [[1,0],[0,2]]
Output: 16

Example 4:

Input: [[1,1,1],[1,0,1],[1,1,1]]
Output: 32

Example 5:

Input: [[2,2,2],[2,1,2],[2,2,2]]
Output: 46

Note:

  • 1 <= N <= 50
  • 0 <= grid[i][j] <= 50

 

Solution: Geometry

3D version of 花花酱 LeetCode 463. Island Perimeter

Ans = total faces – hidden faces.

each pile with height h has the surface area of 2 (top/bottom) + 4*h (sides)

\(ans = ans + 2 + 4 * h\)

if a cube has a neighbour, reduce the total surface area by 1

For each pile, we check 4 neighbours, the number of total hidden faces of this pile is sum(min(h, neighbour’s h)).

\(ans = ans – \Sigma min(h, n.h)\)

Time complexity: O(mn)

Space complexity: O(1)

C++

C++ (opt)

Since the neighbor relationship is symmetric, we can only consider the top and left neighbors and double the hidden faces.

花花酱 LeetCode 112. Path Sum

Problem

Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum.

Note: A leaf is a node with no children.

Example:

Given the below binary tree and sum = 22,

      5
     / \
    4   8
   /   / \
  11  13  4
 /  \      \
7    2      1

return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.

 

Solution: Recursion

Time complexity: O(n)

Space complexity: O(n)

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