Palindrome - Is it possible to make my code faster - performance

I have an ASCII-only string which is either already a palindrome, or else can be made a palindrome by removing one character. I need to determine whether it's already a palindrome, and if not, I need to find the index of the character that would need to be removed. For example, if the string is 'aaba', then it can be made into the palindrome 'aba' by removing the first character, so I need to return 0.
I have working code, but I am wondering if it is possible to make it faster, because I need to work with many long strings.
Here is my code:
package main
import (
"fmt"
)
func Palindrome(s string) bool {
var l int = len(s)
for i := 0; i < l / 2; i++ {
if s[i] != s[l - 1 - i] {
return false;
}
}
return true
}
func RemoveChar(s string, idx int) string {
return s[0:idx-1] + s[idx:len(s)]
}
func findIdx(s string) int {
if Palindrome(s) {
return -1
}
for i := 0; i < len(s); i++ {
if Palindrome(RemoveChar(s, i + 1)) {
return i
}
}
return -2
}
func main() {
var s string = "aabaab"
fmt.Println(findIdx(s))
}

This should be very slightly more efficient than ruakh's solution. You shouldn't have to use isPalindrome() to check that s[i + 1:len(s) - i] is a palindrome because it's quicker to check that s[i:len(s) - i - 1] is not a palindrome. In the solution below, in most cases j won't get very far at all before the function returns.
func findIdx(s string) int {
var n int = len(s)
for i := 0; i < n / 2; i++ {
if s[i] != s[n - i - 1] {
for j := 0; ;j++ {
if s[i + j] != s[n - 2 - i - j] {
return i;
}
if s[i + j + 1] != s[n - 1 - i - j] {
return n - 1 - i;
}
}
}
}
return -1
}

Here is a much more efficient approach:
func findIdx(s string) int {
for i := 0; i < len(s) / 2; i++ {
if s[i] != s[len(s) - i - 1] {
if isPalindrome(s[i+1:len(s)-i]) {
return i
} else {
return len(s) - i - 1
}
}
}
return -1
}
It just proceeds from the ends of the string until it finds a pair of bytes that should match, if the string were a palindrome, but that do not. It then knows that it will return the index of one of these two bytes, so it only needs to perform one "is this a palindrome?" check; and it doesn't need to use the RemoveChar function, since the "is this a palindrome?" check only needs to consider the middle portion of the string (that hasn't already been examined).

Related

Only take first value from loop GOLANG

Does anyone know why it took first value when I call variable inside the loop ? I want to make palindrome but the code just like this, can someone explain me. I'm new in GO
package main
import "fmt"
func main() {
var kata, kosong, kebalikan, katanya string
fmt.Print("Kata :")
fmt.Scan(&kata)
panjang := len(kata) - 1
for i := panjang; i >= 0; i-- {
kebalikan = kosong + fmt.Sprint(string(kata[i]))
fmt.Print(kebalikan)
}
fmt.Print("\n")
for i := 0; i <= panjang; i++ {
katanya = kosong + fmt.Sprint(string(kata[i]))
fmt.Print(katanya)
}
fmt.Println(katanya)
fmt.Println(kebalikan)
if fmt.Sprint(katanya) == fmt.Sprint(kebalikan) {
fmt.Println(true)
} else {
fmt.Println(false)
}
}
You have your greater than and less than symbols the wrong way around. i >= 0 checks for when I is greater than or equal to 0, which it will be from the start because you're setting i to the length of that string.
i have my answer from my own question, here i mean
var kata, kebalikan string
fmt.Print("Kata :")
fmt.Scan(&kata)
panjang := len(kata) - 1
for i := panjang; i >= 0; i-- {
kebalikan = kebalikan + fmt.Sprint(string(kata[i]))
}
if fmt.Sprint(kata) == fmt.Sprint(kebalikan) {
fmt.Println(true)
} else {
fmt.Println(false)
}

Writing next Permutation in Go using closure, what is wrong with my code

I have written a function "iterPermutation" which uses closure. I want to return array and boolean from the closure which I could not do. So tried only array but it still gives an error
cannot use func literal (type func() []int) as type []int in return
argument
I want to use iterPermutation like
a := []int{0,1,2,3,4}
nextPermutation, exists := iterPermutation(a)
for exists {
nextPermutation()
}
func iterPermutation(a []int) []int {
return func() []int {
i := len(a) - 2
for i >= 0 && a[i+1] <= a[i] {
i--
}
if i < 0 {
return a
}
j := len(a) - 1
for j >= 0 && a[j] <= a[i] {
j--
}
a[i], a[j] = a[j], a[i]
for k, l := i, len(a)-1; k < l; k, l = k+1, l-1 {
a[k], a[l] = a[l], a[k]
}
return a
}
}
Golang spec for Return statements described:
The return value or values may be explicitly listed in the "return"
statement. Each expression must be single-valued and assignable to the
corresponding element of the function's result type.
The function called for permutation should contains two values in return one for the array and another for the boolean. Since you are assigning two variables from the function return:
a := []int{0,1,2,3,4}
nextPermutation, exists := iterPermutation(a) // it should return two values one for nextPermutation which is an array and other is exists which might be a boolean value.
for exists {
nextPermutation()
}
For below error:
"cannot use func literal (type func() []int) as type []int in return
argument"
you are returning func() literal enclosed inside the closure function of permutation along with boolean value, so change the return type as:
package main
func main(){
a := []int{0,1,2,3,4}
nextPermutation, _ := iterPermutation(a)
nextPermutation()
}
func iterPermutation(a []int) ((func() []int), bool) { // return both values
return func() []int {
i := len(a) - 2
for i >= 0 && a[i+1] <= a[i] {
i--
}
if i < 0 {
return a
}
j := len(a) - 1
for j >= 0 && a[j] <= a[i] {
j--
}
a[i], a[j] = a[j], a[i]
for k, l := i, len(a)-1; k < l; k, l = k+1, l-1 {
a[k], a[l] = a[l], a[k]
}
return a
}, true // add boolean value to return from the function.
}
Working answer on Playground
I'm going to ignore the "permutation" logic inside your closure and focus on couple of concepts that you need to be aware of so it would work like you've planned to with your code. Correct me if I'm wrong, but you want to get array of item from your closure until exists is false, right?
First of all, to have nextPermutation, exists := iterPermutation(a) compile properly, iterPermutation needs to return two values like so:
func iterPermutation(a []int) (func() []int, bool) {
exists := true
return func() []int {
//rest of your code
if i < 0 {
exists = false
return a
}
//rest of your code
}, exists
}
Next problem you face is the fact that, with the above approach, you will have with the exists value. Since you are returning a value for exists, any change to exists will not be propagated beyond the scope of iterPermutation. You can fix this problem by returning a pointer. This is one way of implementing it:
a := []int{0,1,2,3,4}
nextPermutation, check := iterPermutation(a)
while check.Exists {
nextPermutation()
}
type Check struct {
Exists bool
}
func iterPermutation(a []int) (func() []int, *Check) {
check:= &Check{
Exists: true,
}
return func() []int {
i := len(a) - 2
for i >= 0 && a[i+1] <= a[i] {
i--
}
if i < 0 {
check.Exists = false //this is put here as an example
return a
}
j := len(a) - 1
for j >= 0 && a[j] <= a[i] {
j--
}
a[i], a[j] = a[j], a[i]
for k, l := i, len(a)-1; k < l; k, l = k+1, l-1 {
a[k], a[l] = a[l], a[k]
}
return a
}, check
}
When you return a pointer of Check type, any change to it in the iterPermutation or in your closure is visible outside of these as well, since you are accessing a memory reference.

Too many results in a loop for Project Euler #145

I am trying to create a solution for Project Euler #145. I am writing in Go. When I run my program I get a result of 125. The expected result is 120. I have 2 different ways I have tried to write the code but both come up with the same answer. Any help pointing out my error would be appreciated.
Code option #1 using strings:
package main
import (
"fmt"
"strconv"
)
//checks to see if all the digits in the number are odd
func is_Odd(sum int) bool {
intString := strconv.Itoa(sum)
for x := len(intString); x > 0; x-- {
newString := intString[x-1]
if newString%2 == 0 {
return false
}
}
return true
}
//reverse the number passed
func reverse_int(value int) int {
intString := strconv.Itoa(value)
newString := ""
for x := len(intString); x > 0; x-- {
newString += string(intString[x-1])
}
newInt, err := strconv.Atoi(newString)
if err != nil {
fmt.Println("Error converting string to int")
}
return newInt
}
//adds 2 int's passed to it and returns an int
func add(x int, y int) int {
return x + y
}
func main() {
//functions test code
/*y := 35
x := reverse_int(y)
z := add(x,y)
fmt.Println(is_Odd(z))*/
counter := 1
for i := 1; i < 1000; i++ {
flipped := reverse_int(i)
sum := add(flipped, i)
oddCheck := is_Odd(sum)
if oddCheck {
fmt.Println(counter, ":", i, "+", flipped, "=", sum)
counter++
}
}
counter--
fmt.Println("total = ", counter)
}
Code option #2 using only ints:
package main
import (
"fmt"
)
var counter int
//breaks down an int number by number and checks to see if
//all the numbers in the int are odd
func is_Odd(n int) bool {
for n > 0 {
remainder := n % 10
if remainder%2 == 0 {
return false
}
n /= 10
}
return true
}
//adds 2 int's passed to it and returns an int
func add(x int, y int) int {
return x + y
}
//reverses the int passed to it and returns an int
func reverse_int(n int) int {
var new_int int
for n > 0 {
remainder := n % 10
new_int *= 10
new_int += remainder
n /= 10
}
return new_int
}
func main() {
//functions test code
/*y := 35
x := reverse_int(y)
z := add(x,y)
fmt.Println(is_Odd(z))*/
counter = 1
for i := 1; i < 1000; i++ {
flipped := reverse_int(i)
sum := add(flipped, i)
oddCheck := is_Odd(sum)
if oddCheck {
//fmt.Println(counter,":",i,"+",flipped,"=",sum)
counter++
}
}
counter--
fmt.Println(counter)
}
Leading zeroes are not allowed in either n or reverse(n) so in reverse(n int) int remove Leading zeroes like so:
remainder := n % 10
if first {
if remainder == 0 {
return 0
}
first = false
}
try this:
package main
import (
"fmt"
)
//breaks down an int number by number and checks to see if
//all the numbers in the int are odd
func isOdd(n int) bool {
if n <= 0 {
return false
}
for n > 0 {
remainder := n % 10
if remainder%2 == 0 {
return false
}
n /= 10
}
return true
}
//adds 2 int's passed to it and returns an int
func add(x int, y int) int {
return x + y
}
//reverses the int passed to it and returns an int
func reverse(n int) int {
first := true
t := 0
for n > 0 {
remainder := n % 10
if first {
if remainder == 0 {
return 0
}
first = false
}
t *= 10
t += remainder
n /= 10
}
return t
}
func main() {
counter := 0
for i := 0; i < 1000; i++ {
flipped := reverse(i)
if flipped == 0 {
continue
}
sum := add(flipped, i)
if isOdd(sum) {
counter++
//fmt.Println(counter, ":", i, "+", flipped, "=", sum)
}
}
fmt.Println(counter)
}
output:
120
You're ignoring this part of the criteria:
Leading zeroes are not allowed in either n or reverse(n).
Five of the numbers you count as reversible end in 0. (That means their reverse has a leading zero.) Stop counting those as reversible and you're done.
Some positive integers n have the property that the sum [ n +
reverse(n) ] consists entirely of odd (decimal) digits. For instance,
36 + 63 = 99 and 409 + 904 = 1313. We will call such numbers
reversible; so 36, 63, 409, and 904 are reversible. Leading zeroes are
not allowed in either n or reverse(n).
All digits of the sum must all be odd.
Try this one: https://play.golang.org/p/aUlvKrb9SB

Generating prime numbers in Go

EDIT: The question essentially asks to generate prime numbers up to a certain limit. The original question follows.
I want my if statement to become true if only these two conditions are met:
for i := 2; i <= 10; i++ {
if i%i == 0 && i%1 == 0 {
} else {
}
}
In this case every possible number gets past these conditions, however I want only the numbers 2, 3, 5, 7, 11... basically numbers that are divisible only with themselves and by 1 to get past, with the exception being the very first '2'. How can I do this?
Thanks
It seems you are looking for prime numbers. However the conditions you described are not sufficient. In fact you have to use an algorithm to generate them (up to a certain limit most probably).
This is an implementation of the Sieve of Atkin which is an optimized variation of the ancient Sieve of Eratosthenes.
Demo: http://play.golang.org/p/XXiTIpRBAu
For the sake of completeness:
package main
import (
"fmt"
"math"
)
// Only primes less than or equal to N will be generated
const N = 100
func main() {
var x, y, n int
nsqrt := math.Sqrt(N)
is_prime := [N]bool{}
for x = 1; float64(x) <= nsqrt; x++ {
for y = 1; float64(y) <= nsqrt; y++ {
n = 4*(x*x) + y*y
if n <= N && (n%12 == 1 || n%12 == 5) {
is_prime[n] = !is_prime[n]
}
n = 3*(x*x) + y*y
if n <= N && n%12 == 7 {
is_prime[n] = !is_prime[n]
}
n = 3*(x*x) - y*y
if x > y && n <= N && n%12 == 11 {
is_prime[n] = !is_prime[n]
}
}
}
for n = 5; float64(n) <= nsqrt; n++ {
if is_prime[n] {
for y = n * n; y < N; y += n * n {
is_prime[y] = false
}
}
}
is_prime[2] = true
is_prime[3] = true
primes := make([]int, 0, 1270606)
for x = 0; x < len(is_prime)-1; x++ {
if is_prime[x] {
primes = append(primes, x)
}
}
// primes is now a slice that contains all primes numbers up to N
// so let's print them
for _, x := range primes {
fmt.Println(x)
}
}
Here's a golang sieve of Eratosthenes
package main
import "fmt"
// return list of primes less than N
func sieveOfEratosthenes(N int) (primes []int) {
b := make([]bool, N)
for i := 2; i < N; i++ {
if b[i] == true { continue }
primes = append(primes, i)
for k := i * i; k < N; k += i {
b[k] = true
}
}
return
}
func main() {
primes := sieveOfEratosthenes(100)
for _, p := range primes {
fmt.Println(p)
}
}
The simplest method to get "numbers that are divisible only with themselves and by 1", which are also known as prime numbers is: http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
It's not a "simple if statement".
If you don't mind a very small chance (9.1e-13 in this case) of them not being primes you can use ProbablyPrime from math/big like this (play)
import (
"fmt"
"math/big"
)
func main() {
for i := 2; i < 1000; i++ {
if big.NewInt(int64(i)).ProbablyPrime(20) {
fmt.Printf("%d is probably prime\n", i)
} else {
fmt.Printf("%d is definitely not prime\n", i)
}
}
}
Just change the constant 20 to be as sure as you like that they are primes.
Simple way(fixed):
package main
import "math"
const n = 100
func main() {
print(1, " ", 2)
L: for i := 3; i <= n; i += 2 {
m := int(math.Floor(math.Sqrt(float64(i))))
for j := 2; j <= m; j++ {
if i%j == 0 {
continue L
}
}
print(" ", i)
}
}
just change the 100 in the outer for loop to the limit of the prime number you want to find. cheers!!
for i:=2; i<=100; i++{
isPrime:=true
for j:=2; j<i; j++{
if i % j == 0 {
isPrime = false
}
}
if isPrime == true {
fmt.Println(i)
}
}
}
Here try this by checking all corner cases and optimised way to find you numbers and run the logic when the function returns true.
package main
import (
"math"
"time"
"fmt"
)
func prime(n int) bool {
if n < 1 {
return false
}
if n == 2 {
return true
}
if n % 2 == 0 && n > 2 {
return false
}
var maxDivisor = int(math.Floor(math.Sqrt(float64 (n))))
//d := 3
for d:=3 ;d <= 1 + maxDivisor; d += 2 {
if n%d == 0 {
return false
}
}
return true
}
//======Test Function=====
func main() {
// var t0 = time.Time{}
var t0= time.Second
for i := 1; i <= 1000; i++ {
fmt.Println(prime(i))
}
var t1= time.Second
println(t1 - t0)
}
package main
import (
"fmt"
)
func main() {
//runtime.GOMAXPROCS(4)
ch := make(chan int)
go generate(ch)
for {
prime := <-ch
fmt.Println(prime)
ch1 := make(chan int)
go filter(ch, ch1, prime)
ch = ch1
}
}
func generate(ch chan int) {
for i := 2; ; i++ {
ch <- i
}
}
func filter(in, out chan int, prime int) {
for {
i := <-in
if i%prime != 0 {
out <- i
}
}
}
A C like logic (old school),
package main
import "fmt"
func main() {
var num = 1000
for j := 2; j < num ; j++ {
var flag = 0
for i := 2; i <= j/2 ; i++ {
if j % i == 0 {
flag = 1
break
}
}
if flag == 0 {
fmt.Println(j)
}
}
}
Simple solution for generating prime numbers up to a certain limit:
func findNthPrime(number int) int {
if number < 1{
fmt.Println("Please provide positive number")
return number
}
var primeCounter, nthPrimeNumber int
for i:=2; primeCounter < number; i++{
isPrime := true
for j:=2; j <= int(math.Sqrt(float64(i))) && i != 2 ; j++{
if i % j == 0{
isPrime = false
}
}
if isPrime{
primeCounter++
nthPrimeNumber = i
fmt.Println(primeCounter, "th prime number is ", nthPrimeNumber)
}
}
fmt.Println("Nth prime number is ", nthPrimeNumber)
return nthPrimeNumber
}
A prime number is a positive integer that is divisible only by 1 and itself. For example: 2, 3, 5, 7, 11, 13, 17.
What is Prime Number?
A Prime Number is a whole number that cannot be made by multiplying other whole numbers
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
Go Language Program to Check Whether a Number is Prime or Not
https://www.golanguagehub.com/2021/01/primenumber.html

Go : longest common subsequence to print result array

I have implemented Longest Common Subsequence algorithm and getting the right answer for longest but cannot figure out the way to print out what makes up the longest common subsequence.
That is, I succeeded to get the length of longest commond subsequence array but I want to print out the longest subsequence.
The Playground for this code is here
http://play.golang.org/p/0sKb_OARnf
/*
X = BDCABA
Y = ABCBDAB => Longest Comman Subsequence is B C B
Dynamic Programming method : O ( n )
*/
package main
import "fmt"
func Max(more ...int) int {
max_num := more[0]
for _, elem := range more {
if max_num < elem {
max_num = elem
}
}
return max_num
}
func Longest(str1, str2 string) int {
len1 := len(str1)
len2 := len(str2)
//in C++,
//int tab[m + 1][n + 1];
//tab := make([][100]int, len1+1)
tab := make([][]int, len1+1)
for i := range tab {
tab[i] = make([]int, len2+1)
}
i, j := 0, 0
for i = 0; i <= len1; i++ {
for j = 0; j <= len2; j++ {
if i == 0 || j == 0 {
tab[i][j] = 0
} else if str1[i-1] == str2[j-1] {
tab[i][j] = tab[i-1][j-1] + 1
if i < len1 {
fmt.Printf("%c", str1[i])
}
} else {
tab[i][j] = Max(tab[i-1][j], tab[i][j-1])
}
}
}
fmt.Println()
return tab[len1][len2]
}
func main() {
str1 := "AGGTABTABTABTAB"
str2 := "GXTXAYBTABTABTAB"
fmt.Println(Longest(str1, str2))
//Actual Longest Common Subsequence: GTABTABTABTAB
//GGGGGTAAAABBBBTTTTAAAABBBBTTTTAAAABBBBTTTTAAAABBBB
//13
str3 := "AGGTABGHSRCBYJSVDWFVDVSBCBVDWFDWVV"
str4 := "GXTXAYBRGDVCBDVCCXVXCWQRVCBDJXCVQSQQ"
fmt.Println(Longest(str3, str4))
//Actual Longest Common Subsequence: ?
//GGGTTABGGGHHRCCBBBBBBYYYJSVDDDDDWWWFDDDDDVVVSSSSSBCCCBBBBBBVVVDDDDDWWWFWWWVVVVVV
//14
}
When I try to print out the subsequence when the tab gets updates, the outcome is duplicate.
I want to print out something like "GTABTABTABTAB" for the str1 and str2
Thanks in advance.
EDIT: It seems that I jumped the gun on answering this. On the Wikipedia page for Longest Common Subsequnce they give the pseudocode for printing out the LCS once it has been calculated. I'll put an implementation in go up here as soon as I have time for it.
Old invalid answer
You are forgetting to move along from a character once you have registered it as part of the subsequence.
The code below should work. Look at the two lines right after the fmt.Printf("%c", srt1[i]) line.
playground link
/*
X = BDCABA
Y = ABCBDAB => Longest Comman Subsequence is B C B
Dynamic Programming method : O ( n )
*/
package main
import "fmt"
func Max(more ...int) int {
max_num := more[0]
for _, elem := range more {
if max_num < elem {
max_num = elem
}
}
return max_num
}
func Longest(str1, str2 string) int {
len1 := len(str1)
len2 := len(str2)
//in C++,
//int tab[m + 1][n + 1];
//tab := make([][100]int, len1+1)
tab := make([][]int, len1+1)
for i := range tab {
tab[i] = make([]int, len2+1)
}
i, j := 0, 0
for i = 0; i <= len1; i++ {
for j = 0; j <= len2; j++ {
if i == 0 || j == 0 {
tab[i][j] = 0
} else if str1[i-1] == str2[j-1] {
tab[i][j] = tab[i-1][j-1] + 1
if i < len1 {
fmt.Printf("%c", str1[i])
//Move on the the next character in both sequences
i++
j++
}
} else {
tab[i][j] = Max(tab[i-1][j], tab[i][j-1])
}
}
}
fmt.Println()
return tab[len1][len2]
}
func main() {
str1 := "AGGTABTABTABTAB"
str2 := "GXTXAYBTABTABTAB"
fmt.Println(Longest(str1, str2))
//Actual Longest Common Subsequence: GTABTABTABTAB
//GGGGGTAAAABBBBTTTTAAAABBBBTTTTAAAABBBBTTTTAAAABBBB
//13
str3 := "AGGTABGHSRCBYJSVDWFVDVSBCBVDWFDWVV"
str4 := "GXTXAYBRGDVCBDVCCXVXCWQRVCBDJXCVQSQQ"
fmt.Println(Longest(str3, str4))
//Actual Longest Common Subsequence: ?
//GGGTTABGGGHHRCCBBBBBBYYYJSVDDDDDWWWFDDDDDVVVSSSSSBCCCBBBBBBVVVDDDDDWWWFWWWVVVVVV
//14
}

Resources