```go
package main

import (
	"bufio"
	"fmt"
	"os"
	"strings"
)

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	// The problem states string length can be up to 10^6.
	// Default buffer size is 64KB, which is too small.
	// We increase the buffer size to ~2MB to safely hold the input strings.
	const maxCapacity = 2 * 1024 * 1024
	buf := make([]byte, maxCapacity)
	scanner.Buffer(buf, maxCapacity)
	scanner.Split(bufio.ScanWords)

	if !scanner.Scan() {
		return
	}
	a := scanner.Text()

	if !scanner.Scan() {
		return
	}
	b := scanner.Text()

	if len(a) != len(b) {
		fmt.Println("NO")
		return
	}

	// Logic:
	// The operations allow transforming any string with at least one '1'
	// into any other string of the same length with at least one '1'.
	// A string of all '0's can only remain all '0's.
	// Therefore, transformation is possible if and only if:
	// 1. Lengths are equal.
	// 2. Both strings contain a '1' OR both strings contain no '1's.

	aHasOne := strings.Contains(a, "1")
	bHasOne := strings.Contains(b, "1")

	if aHasOne == bHasOne {
		fmt.Println("YES")
	} else {
		fmt.Println("NO")
	}
}
```