import java.io.PrintWriter
import java.util.*
import kotlin.math.*

fun PrintWriter.solve() {
    val n = nextInt()
    val m = nextInt()
    val adj = Array(n) { mutableListOf<Int>() }
    for (i in 0 until m) {
        val v1 = nextInt() - 1
        val v2 = nextInt() - 1
        adj[v1].add(v2)
        adj[v2].add(v1)
    }
    var count = 0
    val stack = Stack<Int>()
    for (i in 0 until n) {
        if (adj[i].size == 1) {
            stack.push(i)
        }
    }
    while (stack.isNotEmpty()) {
        val v = stack.pop()
        if (adj[v].size != 1) continue
        val w = adj[v][0]
        count++
        adj[v].remove(w)
        adj[w].remove(v)
        if (adj[w].size == 1) {
            stack.push(w)
        }
    }
    println(if (count % 2 == 1) "Yes" else "No")
}

fun main() {
    val writer = PrintWriter(System.out, false)
    writer.solve()
    writer.flush()
}

// region Scanner
private var st = StringTokenizer("")
private val br = System.`in`.bufferedReader()

fun next(): String {
    while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine())
    return st.nextToken()
}

fun nextInt() = next().toInt()
fun nextLong() = next().toLong()
fun nextLine() = br.readLine()
fun nextDouble() = next().toDouble()
// endregion