I am trying to find the odd numbers and a multiple of 7 between a 1 to 100 and append them into an array. I have got this far:
var results: [Int] = []
for n in 1...100 {
if n / 2 != 0 && 7 / 100 == 0 {
results.append(n)
}
}
Your conditions are incorrect. You want to use "modular arithmetic"
Odd numbers are not divisible by 2. To check this use:
if n % 2 != 0
The % is the mod function and it returns the remainder of the division (e.g. 5 / 2 is 2.5 but integers don't have decimals, so the integer result is 2 with a remainder of 1 and 5 / 2 => 2 and 5 % 2 => 1)
To check if it's divisible by 7, use the same principle:
if n % 7 == 0
The remainder is 0 if the dividend is divisible by the divisor. The complete if condition is:
if n % 2 != 0 && n % 7 == 0
You can also use n % 2 == 1 because the remainder is always 1. The result of any mod function, a % b, is always between 0 and b - 1.
Or, using the new function isMultiple(of:, that final condition would be:
if !n.isMultiple(of: 2) && n.isMultiple(of: 7)
Swift 5:
Since Swift 5 has been released, you could use isMultiple(of:) method.
In your case, you should check if it is not multiple of ... :
if !n.isMultiple(of: 2)
Swift 5 is coming with isMultiple(of:) method for integers , so you can try
let res = Array(1...100).filter { !$0.isMultiple(of:2) && $0.isMultiple(of:7) }
Here is an efficient and concise way of getting the odd multiples of 7 less than or equal to 100 :
let results: [Int] = Array(stride(from: 7, through: 100, by: 14))
You can also use the built-in filter to do an operation on only qualified members of an array. Here is how that'd go in your case for example
var result = Array(1...100).filter { (number) -> Bool in
return (number % 2 != 0 && number % 7 == 0)
}
print(result) // will print [7, 21, 35, 49, 63, 77, 91]
You can read more about filter in the doc but here is the basics: it goes through each element and collects elements that return true on the condition. So it filters the array and returns what you want
Related
I have been assigned with a task to print prime numbers from a range 2...100. I've managed to get most of the prime numbers but can't figure out how to get rid of 9 and 15, basically multiples of 3 and 5. Please give me your suggestion on how can I fix this.
for n in 2...20 {
if n % 2 == 0 && n < 3{
print(n)
} else if n % 2 == 1 {
print(n)
} else if n % 3 == 0 && n > 6 {
}
}
This what it prints so far:
2
3
5
7
9
11
13
15
17
19
One of effective algorithms to find prime numbers is Sieve of Eratosthenes. It is based on idea that you have sorted array of all numbers in given range and you go from the beginning and you remove all numbers after current number divisible by this number which is prime number. You repeat this until you check last element in the array.
There is my algorithm which should do what I described above:
func primes(upTo rangeEndNumber: Int) -> [Int] {
let firstPrime = 2
guard rangeEndNumber >= firstPrime else {
fatalError("End of range has to be greater than or equal to \(firstPrime)!")
}
var numbers = Array(firstPrime...rangeEndNumber)
// Index of current prime in numbers array, at the beginning it is 0 so number is 2
var currentPrimeIndex = 0
// Check if there is any number left which could be prime
while currentPrimeIndex < numbers.count {
// Number at currentPrimeIndex is next prime
let currentPrime = numbers[currentPrimeIndex]
// Create array with numbers after current prime and remove all that are divisible by this prime
var numbersAfterPrime = numbers.suffix(from: currentPrimeIndex + 1)
numbersAfterPrime.removeAll(where: { $0 % currentPrime == 0 })
// Set numbers as current numbers up to current prime + numbers after prime without numbers divisible by current prime
numbers = numbers.prefix(currentPrimeIndex + 1) + Array(numbersAfterPrime)
// Increase index for current prime
currentPrimeIndex += 1
}
return numbers
}
print(primes(upTo: 100)) // [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
print(primes(upTo: 2)) // [2]
print(primes(upTo: 1)) // Fatal error: End of range has to be greater than or equal to 2!
what is the Prime num : Prime numbers are the positive integers having only two factors, 1 and the integer itself,
//Funtion Call
findPrimeNumberlist(fromNumber: 1, toNumber: 100)
//You can print any range Prime number using this fucntion.
func findPrimeNumberlist(fromNumber:Int, toNumber: Int)
{
for i in fromNumber...toNumber
{
var isPrime = true
if i <= 1 { // number must be positive integer
isPrime = false
}
else if i <= 3 {
isPrime = true
}
else {
for j in 2...i/2 // here i am using loop from 2 to i/2 because it will reduces the iteration.
{
if i%j == 0 { // number must have only 1 factor except 1. so use break: no need to check further
isPrime = false
break
}
}
}
if isPrime {
print(i)
}
}
}
func getPrimeNumbers(rangeOfNum: Int) -> [Int]{
var numArr = [Int]()
var primeNumArr = [Int]()
var currentNum = 0
for i in 0...rangeOfNum{
currentNum = i
var counter = 0
if currentNum > 1{
numArr.append(currentNum)
for j in numArr{
if currentNum % j == 0{
counter += 1
}
}
if counter == 1{
primeNumArr.append(currentNum)
}
}
}
print(primeNumArr)
print(primeNumArr.count)
return primeNumArr
}
Then just call the function with the max limit using this
getPrimeNumbers(rangeOfNum: 100)
What is happening in above code:
The numArr is created to keep track of what numbers have been used
Any number that is prime number is added/appended to primeNumArr
Current number shows the number that is being used at the moment
We start from 0 ... upto our range where we need prime numbers upto (with little modification it can be changed if the range starts from other number beside 0)
Remember, for a number to be Prime it should have 2 divisor means should be only completely divisible by 2 numbers. First is 1 and second is itself. (Completely divisible means having remainder 0)
The counter variable is used to keep count of how many numbers divide the current number being worked on.
Since 1 is only has 1 Divisor itself hence its not a Prime number so we start from number > 1.
First as soon as we get in, we add the current number being checked into the number array to keep track of numbers being used
We run for loop to on number array and check if the Current Number (which in our case will always be New and Greater then previous ones) when divided by numbers in numArr leaves a remainder of 0.
If Remainder is 0, we add 1 to the counter.
Since we are already ignoring 1, the max number of counter for a prime number should be 1 which means only divisible by itself (only because we are ignoring it being divisible by 1)
Hence if counter is equal to 1, it confirms that the number is prime and we add it to the primeNumArr
And that's it. This will give you all prime numbers within your range.
PS: This code is written on current version of swift
Optimised with less number of loops
Considered below conditions
Even Number can not be prime number expect 2 so started top loop form 3 adding 2
Any prime number can not multiplier of even number expect 2 so started inner loop form 3 adding 2
Maximum multiplier of any number if half that number
var primeNumbers:[Int] = [2]
for index in stride(from: 3, to: 100, by: 2) {
var count = 0
for indexJ in stride(from: 3, to: index/2, by: 2) {
if index % indexJ == 0 {
count += 1
}
if count == 1 {
break
}
}
if count == 0 {
primeNumbers.append(index)
}
}
print("primeNumbers ===", primeNumbers)
I finally figured it out lol, It might be not pretty but it works haha, Thanks for everyone's answer. I'll post what I came up with if maybe it will help anyone else.
for n in 2...100 {
if n % 2 == 0 && n < 3{
print(n)
} else if n % 3 == 0 && n > 6 {
} else if n % 5 == 0 && n > 5 {
} else if n % 7 == 0 && n > 7{
} else if n % 2 == 1 {
print(n)
}
}
To find how many ways we have of making change for the amount 4 given the coins [1,2,3], we can create a DP algorithm that produces the following table:
table[amount][coins.count]
0 1 2 3 4
-----------
(0) 1 | 1 1 1 1 1
(1) 2 | 1 1 2 2 3
(2) 3 | 1 1 2 3 4
The last position being our answer. The answer is 4 because we have the following combinations: [1,1,1,1],[2,1],[2,2],[3,1].
My question is, is it possible to retrieve these combinations from the table I just generated? How?
For completeness, here's my algorithm
func coinChange(coins: [Int], amount: Int) -> Int {
// int[amount+1][coins]
var table = Array<Array<Int>>(repeating: Array<Int>(repeating: 0, count: coins.count), count: amount + 1)
for i in 0..<coins.count {
table[0][i] = 1
}
for i in 1...amount {
for j in 0..<coins.count {
//solutions that include coins[j]
let x = i - coins[j] >= 0 ? table[i - coins[j]][j] : 0
//solutions that don't include coins[j]
let y = j >= 1 ? table[i][j-1] : 0
table[i][j] = x + y
}
}
return table[amount][coins.count - 1];
}
Thanks!
--
Solution
Here's an ugly function that retrieves the combinations, based on #Sayakiss 's explanation:
func getSolution(_ i: Int, _ j: Int) -> [[Int]] {
if j < 0 || i < 0 {
//not a solution
return []
}
if i == 0 && j == 0 {
//valid solution. return an empty array where the coins will be appended
return [[]]
}
return getSolution(i - coins[j], j).map{var a = $0; a.append(coins[j]);return a} + getSolution(i, j - 1)
}
getSolution(amount, coins.count-1)
Output:
[[1, 3], [2, 2], [1, 1, 2], [1, 1, 1, 1]]
Sure you can. We define a new function get_solution(i,j) which means all solution for your table[i][j].
You can think it returns an array of array, for example, the output of get_solution(4,3) is [[1,1,1,1],[2,1],[2,2],[3,1]]. Then:
Case 1. Any solution from get_solution(i - coins[j], j) plus coins[j] is a solution for table[i][j].
Case 2. Any solution from get_solution(i, j - 1) is a solution for table[i][j].
You can prove Case 1 + Case 2 is all possible solution for table[i][j](note you get table[i][j] by this way).
The only problem remains is to implement get_solution(i,j) and I think it's good for you to do it by yourself.
If you still got any question, please don't hesitate to leave a comment here.
For a project, I'm trying to find the sum of the multiples of both 3 and 5 under 10,000 using Swift. Insert NoobJokes.
Printing the multiples of both 3 and 5 was fairly easy using a ForLoop, but I'm wondering how I can..."sum" all of the items that I printed.
for i in 0...10000 {
if i % 3 == 0 || i % 5 == 0 {
print(i)
}
}
(468 individual numbers printed; how can they be summed?)
Just a little walk through about the process. First you will need a variable which can hold the value of your sum, whenever loop will get execute. You can define an optional variable of type Int or initialize it with a default value same as I have done in the first line. Every time the loop will execute, i which is either multiple of 3 or 5 will be added to the totalSum and after last iteration you ll get your result.
var totalSum = 0
for i in 0...10000 {
if i % 3 == 0 || i % 5 == 0
{
print(i)
totalSum = totalSum + i
}
}
print (totalSum)
In Swift you can do it without a repeat loop:
let numberOfDivisiblesBy3And5 = (0...10000).filter{ $0 % 3 == 0 || $0 % 5 == 0 }.count
Or to get the sum of the items:
let sumOfDivisiblesBy3And5 = (0...10000).filter{ $0 % 3 == 0 || $0 % 5 == 0 }.reduce(0, {$0 + $1})
range : to specify the range of numbers for operation to act on.
here we are using filter method to filter out numbers that are multiple of 3 and 5 and then sum the filtered values.
(reduce(0,+) does the job)
let sum = (3...n).filter({($0 % 3) * ($0 % 5) == 0}).reduce(0,+)
You just need to sum the resulting i like below
var sum = 0
for i in 0...10000 {
if i % 3 == 0 || i % 5 == 0 {
sum = sum + i
print(i)
}
}
Now sum contains the Sum of the values
Try this:
var sum = 0
for i in 0...10000 {
if i % 3 == 0 || i % 5 == 0 {
sum = sum + i
print(i)
}
}
print(sum)
In the Bottom line, this should to be working.
var sum = 0
for i in 0...10000 {
if i % 3 == 0 || i % 5 == 0 {
sum += i
print(i)
}
}
print(sum)
This question already has answers here:
Get list of elements that are divisible by 3 or 5 from 1 - 1000
(6 answers)
Closed 7 years ago.
How to do it this problem in Scala? Do it in For-loop.
sum of all the multiples of 3 and 5 below 1000;
Example: 1*3+2*5+3*3+4*5+5*3+6*5 ... so on 999*3+1000*5 = How much?
I don't think that 1000*5 is a multiple of 5 below 1000. 1000*5 is 5000 which is not below 1000.
It seems like what you want is:
(1 to 1000).filter(x => x % 3 = 0 || x % 5 == 0).sum
Which doesn't use a "for-loop". A lot of people would cringe at such a term, scala doesn't really have for-loops. if MUST use the for construct, perhaps you would write
(for (x <- 1 to 1000 if x % 3 == 0 || x % 5 == 0) yield x).sum
which is exactly the same thing as above.
you could also (though I would not recommend it) use mutation:
var s = 0
for { x <- 1 to 1000 } { if(x % 3 == 0 || x % 5 == 0) s += x }
s
which could also be
var s = 0
for { x <- 1 to 1000 if (x % 3 == 0 || x % 5 == 0) } { s += x }
s
If you want to use the principles of functional programming you would do it recursive - better you can use tail recursion (sorry that the example is not that good but it's pretty late).
def calc(factorB:Int):Int = {
if(factorB+1 >= 1000)
3*factorB+5*(factorB+1)
else
3*factorB+5*(factorB+1)+calc(factorB+2)
}
In a for-loop you can do it like
var result = 0
for(i <- 1 to 1000){
result += i*(i%2==0?5:3)
}
After the for-loop result yields the calculated value. The downside is that you're using a var instead of val. Iam not sure if the statement i%2==0?5:3 is valid in scala but I don't see any reasons why it shouldn't.
any of you knows how can I check if the division remainder is integer or zero?
if ( integer ( 3/2))
You should use the modulo operator like this
// a,b are ints
if ( a % b == 0) {
// remainder 0
} else
{
// b does not divide a evenly
}
It sounds like what you are looking for is the modulo operator %, which will give you the remainder of an operation.
3 % 2 // yields 1
3 % 1 // yields 0
3 % 4 // yields 1
However, if you want to actually perform the division first, you may need something a bit more complex, such as the following:
//Perform the division, then take the remainder modulo 1, which will
//yield any decimal values, which then you can compare to 0 to determine if it is
//an integer
if((a / b) % 1 > 0))
{
//All non-integer values go here
}
else
{
//All integer values go here
}
Walkthrough
(3 / 2) // yields 1.5
1.5 % 1 // yields 0.5
0.5 > 0 // true
swift 3:
if a.truncatingRemainder(dividingBy: b) == 0 {
//All integer values go here
}else{
//All non-integer values go here
}
You can use the below code to know which type of instance it is.
var val = 3/2
var integerType = Mirror(reflecting: val)
if integerType.subjectType == Int.self {
print("Yes, the value is an integer")
}else{
print("No, the value is not an integer")
}
let me know if the above was useful.
Swift 5
if numberOne.isMultiple(of: numberTwo) { ... }
Swift 4 or less
if numberOne % numberTwo == 0 { ... }
Swift 2.0
print(Int(Float(9) % Float(4))) // result 1