2022-05-28
Description
Reverse bits of a given 32 bits unsigned integer.
Note:
Note that in some languages, such as Java, there is no unsigned integer type. In this case, both input and output will be given as a signed integer type. They should not affect your implementation, as the integer's internal binary representation is the same, whether it is signed or unsigned.
In Java, the compiler represents the signed integers using 2's complement notation. Therefore, in Example 2 above, the input represents the signed integer
-3
and the output represents the signed integer-1073741825
.
Example 1:
Input: n = 00000010100101000001111010011100
Output: 964176192 (00111001011110000010100101000000)
Explanation: The input binary string 00000010100101000001111010011100 represents the unsigned integer 43261596, so return 964176192 which its binary representation is 00111001011110000010100101000000.
Example 2:
Input: n = 11111111111111111111111111111101
Output: 3221225471 (10111111111111111111111111111111)
Explanation: The input binary string 11111111111111111111111111111101 represents the unsigned integer 4294967293, so return 3221225471 which its binary representation is 10111111111111111111111111111111.
Constraints:
The input must be a binary string of length
32
Follow up: If this function is called many times, how would you optimize it?
Solution
Approach #0
func reverseBits(num uint32) uint32 {
var res uint32
for i := 0; i < 32 && num > 0; i++ {
res |= num & 1 << (31 - i)
num >>= 1
}
return res
}
Approach #1: Divide And Conquer
Without reading the official solution, this approach will never come into my mind...
const (
m1 = 0x55555555 // 01010101010101010101010101010101
m2 = 0x33333333 // 00110011001100110011001100110011
m4 = 0x0f0f0f0f // 00001111000011110000111100001111
m8 = 0x00ff00ff // 00000000111111110000000011111111
)
func reverseBits(n uint32) uint32 {
n = n>>1&m1 | n&m1<<1
n = n>>2&m2 | n&m2<<2
n = n>>4&m4 | n&m4<<4
n = n>>8&m8 | n&m8<<8
return n>>16 | n<<16
}
Description
Given a non-empty array of integers nums
, every element appears twice except for one. Find that single one.
You must implement a solution with a linear runtime complexity and use only constant extra space.
Example 1:
Input: nums = [2,2,1]
Output: 1
Example 2:
Input: nums = [4,1,2,1,2]
Output: 4
Example 3:
Input: nums = [1]
Output: 1
Constraints:
1 <= nums.length <= 3 * 10^4
-3 * 10^4 <= nums[i] <= 3 * 10^4
Each element in the array appears twice except for one element which appears only once.
Solution
Approach #0
func singleNumber(nums []int) int {
res := 0
for _, num := range nums {
res ^= num
}
return res
}
Description
A valid parentheses string is either empty ""
, "(" + A + ")"
, or A + B
, where A
and B
are valid parentheses strings, and +
represents string concatenation.
For example,
""
,"()"
,"(())()"
, and"(()(()))"
are all valid parentheses strings.
A valid parentheses string s
is primitive if it is nonempty, and there does not exist a way to split it into s = A + B
, with A
and B
nonempty valid parentheses strings.
Given a valid parentheses string s
, consider its primitive decomposition: s = P1 + P2 + ... + Pk
, where Pi
are primitive valid parentheses strings.
Return s
after removing the outermost parentheses of every primitive string in the primitive decomposition of s
.
Example 1:
Input: s = "(()())(())"
Output: "()()()"
Explanation:
The input string is "(()())(())", with primitive decomposition "(()())" + "(())".
After removing outer parentheses of each part, this is "()()" + "()" = "()()()".
Example 2:
Input: s = "(()())(())(()(()))"
Output: "()()()()(())"
Explanation:
The input string is "(()())(())(()(()))", with primitive decomposition "(()())" + "(())" + "(()(()))".
After removing outer parentheses of each part, this is "()()" + "()" + "()(())" = "()()()()(())".
Example 3:
Input: s = "()()"
Output: ""
Explanation:
The input string is "()()", with primitive decomposition "()" + "()".
After removing outer parentheses of each part, this is "" + "" = "".
Constraints:
1 <= s.length <= 105
s[i]
is either'('
or')'
.s
is a valid parentheses string.
Solution
Approach #0
func removeOuterParentheses(s string) string {
var res, stack []rune
for _, ch := range s {
if ch == ')' {
stack = stack[:len(stack)-1]
}
if len(stack) > 0 {
res = append(res, ch)
}
if ch == '(' {
stack = append(stack, ch)
}
}
return string(res)
}
Description
Given an array of integers nums
sorted in non-decreasing order, find the starting and ending position of a given target
value.
If target
is not found in the array, return [-1, -1]
.
You must write an algorithm with O(log n)
runtime complexity.
Example 1:
Input: nums = [5,7,7,8,8,10], target = 8
Output: [3,4]
Example 2:
Input: nums = [5,7,7,8,8,10], target = 6
Output: [-1,-1]
Example 3:
Input: nums = [], target = 0
Output: [-1,-1]
Constraints:
0 <= nums.length <= 10^5
-10^9 <= nums[i] <= 10^9
nums
is a non-decreasing array.-10^9 <= target <= 10^9
Solution
Approach #0
func binarySearch(nums []int, target int, lower bool) (res int) {
res = len(nums)
for i, j := 0, len(nums)-1; i <= j; {
mid := (i + j) / 2
if nums[mid] > target || (lower && nums[mid] >= target) {
j = mid - 1
res = mid
} else {
i = mid + 1
}
}
return
}
func searchRange(nums []int, target int) []int {
low := binarySearch(nums, target, true)
high := binarySearch(nums, target, false) - 1
if low <= high && high < len(nums) && nums[low] == nums[high] {
return []int{low, high}
}
return []int{-1, -1}
}
Approach #1
func searchRange(nums []int, target int) []int {
low := sort.SearchInts(nums, target)
if low >= len(nums) || nums[low] != target {
return []int{-1, -1}
}
high := sort.SearchInts(nums, target+1) - 1
return []int{low, high}
}
Description
There is an integer array nums
sorted in ascending order (with distinct values).
Prior to being passed to your function, nums
is possibly rotated at an unknown pivot index k
(1 <= k < nums.length
) such that the resulting array is [nums[k], nums[k+1], ..., nums[n-1], nums[0], nums[1], ..., nums[k-1]]
(0-indexed). For example, [0,1,2,4,5,6,7]
might be rotated at pivot index 3
and become [4,5,6,7,0,1,2]
.
Given the array nums
after the possible rotation and an integer target
, return the index of target
if it is in nums
, or -1
if it is not in nums
.
You must write an algorithm with O(log n)
runtime complexity.
Example 1:
Input: nums = [4,5,6,7,0,1,2], target = 0
Output: 4
Example 2:
Input: nums = [4,5,6,7,0,1,2], target = 3
Output: -1
Example 3:
Input: nums = [1], target = 0
Output: -1
Constraints:
1 <= nums.length <= 5000
-10^4 <= nums[i] <= 10^4
All values of
nums
are unique.nums
is an ascending array that is possibly rotated.-10^4 <= target <= 10^4
Solution
Approach #0
func search(nums []int, target int) int {
n := len(nums)
if n == 0 {
return -1
}
if n == 1 {
if nums[0] == target {
return 0
}
return -1
}
for i, j := 0, n-1; i <= j; {
mid := (i + j) / 2
if nums[mid] == target {
return mid
}
if nums[0] <= nums[mid] {
if nums[0] <= target && target < nums[mid] {
j = mid - 1
} else {
i = mid + 1
}
} else {
if nums[mid] < target && target <= nums[n-1] {
i = mid + 1
} else {
j = mid - 1
}
}
}
return -1
}
Description
Write an efficient algorithm that searches for a value target
in an m x n
integer matrix matrix
. This matrix has the following properties:
Integers in each row are sorted from left to right.
The first integer of each row is greater than the last integer of the previous row.
Example 1:
Input: matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 3
Output: true
Example 2:
Input: matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 13
Output: false
Constraints:
m == matrix.length
n == matrix[i].length
1 <= m, n <= 100
-10^4 <= matrix[i][j], target <= 10^4
Solution
Approach #0
func searchMatrix(matrix [][]int, target int) bool {
m, n := len(matrix), len(matrix[0])
i, j := -1, m-1
for i < j {
mid := (j-i+1)/2 + i
if matrix[mid][0] <= target {
i = mid
} else {
j = mid - 1
}
}
if i == -1 {
return false
}
for p, q := 0, n-1; p <= q; {
mid := (p-q)/2 + q
if matrix[i][mid] == target {
return true
}
if matrix[i][mid] > target {
q = mid - 1
} else {
p = mid + 1
}
}
return false
}
Approach #1
func searchMatrix(matrix [][]int, target int) bool {
m, n := len(matrix), len(matrix[0])
row := sort.Search(m, func(i int) bool { return matrix[i][0] > target }) - 1
if row < 0 {
return false
}
column := sort.SearchInts(matrix[row], target)
return column < n && matrix[row][column] == target
}
Approach #2
func searchMatrix(matrix [][]int, target int) bool {
m, n := len(matrix), len(matrix[0])
i := sort.Search(m*n, func(i int) bool { return matrix[i/n][i%n] >= target })
return i < m*n && matrix[i/n][i%n] == target
}
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