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K-means finds groups in unlabeled data. Starting from the given centroids, repeat iterations times:
- Assign: put each point in the cluster of its nearest centroid (Euclidean distance). If two centroids are equally close, choose the one with the smaller index.
- Update: move each centroid to the average of the points assigned to it. A centroid with no points stays where it is.
Implement k_means(points, centroids, iterations).
Input
points: The data points, each a list of coordinates.
centroids: The k starting centroids, with the same number of coordinates.
iterations: How many assign-and-update rounds to run.
Output
Return the final centroids in their original order.
Constraints
1 ≤ number of points ≤ 1,000, 1 ≤ k ≤ 20, 1 ≤ dimensions ≤ 10
0 ≤ iterations ≤ 100
-1,000 ≤ each coordinate ≤ 1,000
Examples
Example 1
Input:
points = [
[1.0, 1.0],
[1.5, 2.0],
[8.0, 8.0],
[9.0, 8.5]
]
centroids = [
[0.0, 0.0],
[10.0, 10.0]
]
iterations = 1
Expected output:
[
[1.25, 1.5],
[8.5, 8.25]
]
Explanation
The first two points are nearer to (0, 0) and the last two nearer to (10, 10). The new centroids are the averages: ((1 + 1.5) / 2, (1 + 2) / 2) = (1.25, 1.5) and ((8 + 9) / 2, (8 + 8.5) / 2) = (8.5, 8.25).
Example 2
Input:
points = [
[0.0],
[1.0],
[10.0]
]
centroids = [
[0.0],
[100.0]
]
iterations = 2
Expected output:
[
[3.666667],
[100.0]
]
Explanation
Round 1: (100) is far from every point, so all three points join centroid 1, which moves to (0 + 1 + 10) / 3 ≈ 3.666667; centroid 2 gets no points and stays at 100. Round 2 assigns the same way, so the result is [[3.666667], [100]].
References
-
Example 1 Not runInput:
points = [ [1.0, 1.0], [1.5, 2.0], [8.0, 8.0], [9.0, 8.5] ] centroids = [ [0.0, 0.0], [10.0, 10.0] ] iterations = 1Expected output:[ [1.25, 1.5], [8.5, 8.25] ]Your output -
Example 2 Not runInput:
points = [ [0.0], [1.0], [10.0] ] centroids = [ [0.0], [100.0] ] iterations = 2Expected output:[ [3.666667], [100.0] ]Your output
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💡 Go Basics & Examples You Can Try Above
1. Declaring Variables and Constants
Use var or := to declare variables. Use const for constants.
package main
var x int = 10
const Pi = 3.14
func main() {
name := "Alice"
isActive := true
println(x, Pi, name, isActive)
}
2. Conditionals (if / switch)
Go supports if-else and switch statements with clean syntax.
x := 2
if x == 1 {
println("One")
} else if x == 2 {
println("Two")
} else {
println("Other")
}
switch x {
case 1:
println("One")
case 2:
println("Two")
default:
println("Other")
}
3. Loops
Go uses only the for loop, but it can act like a while loop.
for i := 0; i < 3; i++ {
println(i)
}
n := 3
for n > 0 {
println(n)
n--
}
4. Arrays
Arrays have fixed size. Use slices for dynamic lists.
var nums = [3]int{10, 20, 30}
println(nums[1])
5. Slice Manipulation
Use slices and the built-in append, len, copy, and slicing syntax.
fruits := []string{"apple", "banana"}
fruits = append(fruits, "cherry")
fruits = fruits[1:] // slice
println(len(fruits))
for _, fruit := range fruits {
println(fruit)
}
6. Console Input/Output
Use fmt.Print, fmt.Scan, and fmt.Println.
import "fmt"
var name string
fmt.Print("Enter your name: ")
fmt.Scan(&name)
fmt.Println("Hello", name)
7. Functions
Functions are declared with func and can return multiple values.
func greet(name string) string {
return "Hello, " + name
}
message := greet("Alice")
println(message)
8. Maps
Maps are key-value stores. Declare with make().
ages := map[string]int{"Alice": 30}
ages["Bob"] = 25
println(ages["Alice"])
9. Error Handling
Go uses multiple return values for errors instead of exceptions.
import "errors"
func fail() error {
return errors.New("something went wrong")
}
err := fail()
if err != nil {
println(err.Error())
}
10. File I/O
Use os and io/ioutil packages to read/write files.
import (
"fmt"
"os"
"io/ioutil"
)
ioutil.WriteFile("file.txt", []byte("Hello File"), 0644)
data, _ := ioutil.ReadFile("file.txt")
fmt.Println(string(data))
11. String Manipulation
Use the strings package for string operations.
import "strings"
text := " Hello World "
println(strings.TrimSpace(text))
println(strings.ToUpper(text))
println(strings.ReplaceAll(text, "Hello", "Hi"))
words := strings.Split(text, " ")
fmt.Println(words)
12. Structs & Objects
Use structs to define custom types with methods.
type Person struct {
Name string
}
func (p Person) Greet() string {
return "Hi, I'm " + p.Name
}
p := Person{Name: "Alice"}
println(p.Greet())
13. References (Pointers)
Go supports pointers using * and &.
x := 10
ptr := &x
*ptr = 20
println(x) // 20