花花酱 LeetCode 3. Longest Substring Without Repeating Characters

By zxi on September 11, 2018

Problem

Given a string, find the length of the longest substring without repeating characters.

Example 1:

Input: "abcabcbb"
Output: 3 
Explanation: The answer is "abc", with the length of 3.

Example 2:

Input: "bbbbb"
Output: 1
Explanation: The answer is "b", with the length of 1.

Example 3:

Input: "pwwkew"
Output: 3
Explanation: The answer is "wke", with the length of 3. Note that the answer must be a substring, "pwke" is a subsequence and not a substring.

Solution: HashTable + Sliding Window

Using a hashtable to remember the last index of every char. And keep tracking the starting point of a valid substring.

start = max(start, last[s[i]] + 1)

ans = max(ans, i – start + 1)

Time complexity: O(n)

Space complexity: O(128)

C++

// Author: Huahua

class Solution {

public:

int lengthOfLongestSubstring(string s) {

const int n = s.length();

int ans = 0;

vector<int> idx(128, -1);

for (int i = 0, j = 0; j < n; ++j) {

i = max(i,idx[s[j]] + 1);

ans = max(ans, j - i + 1);

idx[s[j]] = j;

}

return ans;

}

};

Java

// Author: Huahua

class Solution {

public int lengthOfLongestSubstring(String s) {

int[] last = new int[128];

Arrays.fill(last, -1);

int start = 0;

int ans = 0;

for (int i = 0; i < s.length(); ++i) {

if (last[s.charAt(i)] != -1)

start = Math.max(start, last[s.charAt(i)] + 1);

last[s.charAt(i)] = i;

ans = Math.max(ans, i - start + 1);

}

return ans;

}

Python3

# Author: Huahua

class Solution:

def lengthOfLongestSubstring(self, s):

last = [-1] * 128

ans = 0

start = 0

for i, ch in enumerate(s):

if last[ord(ch)] != -1:

start = max(start, last[ord(ch)] + 1)

ans = max(ans, i - start + 1)

last[ord(ch)] = i

return ans

花花酱 LeetCode 668. Kth Smallest Number in Multiplication Table

By zxi on September 10, 2018

Problem

Nearly every one have used the Multiplication Table. But could you find out the k-th smallest number quickly from the multiplication table?

Given the height m and the length n of a m * n Multiplication Table, and a positive integer k, you need to return the k-th smallest number in this table.

Example 1:

Input: m = 3, n = 3, k = 5
Output: 
Explanation: 
The Multiplication Table:
1	2	3
2	4	6
3	6	9

The 5-th smallest number is 3 (1, 2, 2, 3, 3).

Example 2:

Input: m = 2, n = 3, k = 6
Output: 
Explanation: 
The Multiplication Table:
1	2	3
2	4	6

The 6-th smallest number is 6 (1, 2, 2, 3, 4, 6).

Note:

The m and n will be in the range [1, 30000].
The k will be in the range [1, m * n]

Solution 1: Nth element (MLE)

Time complexity: O(mn)

Space complexity: O(mn)

C++

// 59 / 69 test cases passed.

class Solution {

public:

int findKthNumber(int m, int n, int k) {

vector<int> s(m * n);

auto it = begin(s);

for (int i = 1; i <= m; ++i)

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

*it++ = i * j;

nth_element(begin(s), begin(s) + k - 1, end(s));

return s[k - 1];

}

};

Solution2 : Binary Search

Find first x such that there are k elements less or equal to x in the table.

Time complexity: O(m*log(m*n))

Space complexity: O(1)

C++

// Author: Huahua, 12 ms

class Solution {

public:

int findKthNumber(int m, int n, int k) {

int l = 1;

int r = m * n + 1;

while (l < r) {

int x = l + (r - l) / 2;

if (LEX(m, n, x) >= k)

r = x;

else

l = x + 1;

}

return l;

}

private:

// Returns # of elements in the m*n table that are <= x

int LEX(int m, int n, int x) {

int count = 0;

for (int i = 1; i <= m; ++i)

count += min(n, x / i);

return count;

}

};

Java

// Author: Huahua, 16 ms

class Solution {

public int findKthNumber(int m, int n, int k) {

int l = 1;

int r = m * n + 1;

while (l < r) {

int x = l + (r - l) / 2;

if (LEX(m, n, x) >= k)

r = x;

else

l = x + 1;

}

return l;

}

// Returns # of elements in the m*n table that are <= x

private int LEX(int m, int n, int x) {

int count = 0;

for (int i = 1; i <= m; ++i)

count += Math.min(n, x / i);

return count;

}

Python3

# Author: Huahua, 976 ms

class Solution:

def findKthNumber(self, m, n, k):

def LEX(m, n, x, k):

count = 0

for i in range(1, min(m + 1, x + 1)):

count += min(n, x // i)

if count >= k: return count

return count

l = 1

r = m * n + 1

while l < r:

x = l + (r - l) // 2

if LEX(m, n, x, k) >= k:

r = x

else:

l = x + 1

return l

花花酱 LeetCode 3. Longest Substring Without Repeating Characters

Problem

Solution: HashTable + Sliding Window

C++

Java

Python3

花花酱 LeetCode 668. Kth Smallest Number in Multiplication Table

Problem

Solution 1: Nth element (MLE)

C++

Solution2 : Binary Search

C++

Java

Python3

Related Problems

花花酱LeetCode 200期总结与展望

[反面教材] 我是如何快速搭建一个公众号机器人的

Bilibili Channel Opened!

Huahua's Tech Road

花花酱 LeetCode 3. Longest Substring Without Repeating Characters

Problem

Solution: HashTable + Sliding Window

C++

Java

Python3

花花酱 LeetCode 668. Kth Smallest Number in Multiplication Table

Problem

Solution 1: Nth element (MLE)

C++

Solution2 : Binary Search

C++

Java

Python3

Related Problems

花花酱LeetCode 200期总结与展望

[反面教材] 我是如何快速搭建一个公众号机器人的

Bilibili Channel Opened!