ミューテックスを使用して同時実行ゴルーチンで相互排他を確保するにはどうすればよいですか?

<code class="go">Routine 1 {
do something

*Send int to Routine 2
Send int to Routine 3
Print Something
Print Something*

do something
}

Routine 2 {
do something

*Send int to Routine 1
Send int to Routine 3
Print Something
Print Something*

do something
}

Routine 3 {
do something

*Send int to Routine 1
Send int to Routine 2
Print Something
Print Something*

do something
}</code>

<code class="go">package main

import (
    "fmt"
    "sync"
)

var (
    mutex1, mutex2, mutex3 sync.Mutex
)

func Routine1() {
    mutex1.Lock()
    // do something
    for i := 0; i < 200; i++ {
        mutex2.Lock()
        mutex3.Lock()
        fmt.Println("value of z")
        mutex2.Unlock()
        mutex3.Unlock()
    }
    // do something
    mutex1.Unlock()
}

func Routine2() {
    mutex2.Lock()
    // do something
    for i := 0; i < 200; i++ {
        mutex1.Lock()
        mutex3.Lock()
        fmt.Println("value of z")
        mutex1.Unlock()
        mutex3.Unlock()
    }
    // do something
    mutex2.Unlock()
}

func Routine3() {
    mutex3.Lock()
    // do something
    for i := 0; i < 200; i++ {
        mutex1.Lock()
        mutex2.Lock()
        fmt.Println("value of z")
        mutex1.Unlock()
        mutex2.Unlock()
    }
    // do something
    mutex3.Unlock()
}

func main() {
    go Routine1()
    go Routine2()
    Routine3()
}</code>