#pragma GCC optimize ( "O3" )
#pragma GCC optimize( "unroll-loops" )
#pragma GCC target ( "sse4.2,fma,avx2,popcnt,lzcnt,bmi2" )
#include <iostream>
#include <string>
#include <stdio.h>
#include <stdint.h>
#include <cassert>
using namespace std;

using uint = unsigned int;

#define TYPE_OF( VAR ) remove_const<remove_reference<decltype( VAR )>::type >::type
#define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr )
#define CEXPR( LL , BOUND , VALUE ) constexpr LL BOUND = VALUE
#define CIN( LL , A ) LL A; cin >> A
#define ASSERT( A , MIN , MAX ) assert( ( MIN ) <= A && A <= ( MAX ) )
#define CIN_ASSERT( A , MIN , MAX ) CIN( TYPE_OF( MAX ) , A ); ASSERT( A , MIN , MAX )
#define GETLINE( A ) string A; getline( cin , A )
#define GETLINE_SEPARATE( A , SEPARATOR ) string A; getline( cin , A , SEPARATOR )
#define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ )
#define QUIT return 0
#define COUT( ANSWER ) cout << ( ANSWER ) << "\n";
#define RETURN( ANSWER ) COUT( ANSWER ); QUIT

// 入力フォーマットチェック用
// 余分な改行を許さない
#define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; cin >> VARIABLE_FOR_CHECK_REDUNDANT_INPUT; assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin );
// #define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; getline( cin , VARIABLE_FOR_CHECK_REDUNDANT_INPUT ); assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin );
// |N| <= BOUNDを満たすNをSから構築
#define STOI( S , N , BOUND ) TYPE_OF( BOUND ) N = 0; { bool VARIABLE_FOR_POSITIVITY_FOR_STOI = true;  assert( S != "" ); if( S.substr( 0 , 1 ) == "-" ){ VARIABLE_FOR_POSITIVITY_FOR_STOI = false; S = S.substr( 1 ); assert( S != "" ); } assert( S.substr( 0 , 1 ) != " " ); while( S == "" ? false : S.substr( 0 , 1 ) != " " ){ assert( N < BOUND / 10 ? true : N == BOUND / 10 && stoi( S.substr( 0 , 1 ) ) <= BOUND % 10 ); N = N * 10 + stoi( S.substr( 0 , 1 ) ); S = S.substr( 1 ); } if( ! VARIABLE_FOR_POSITIVITY_FOR_STOI ){ N *= -1; } if( S != "" ){ S = S.substr( 1 ); } } 
// 1行で入力される変数の個数が適切か確認（半角空白の個数+1を調べる）
#define COUNT_VARIABLE( S , VARIABLE_NUMBER ) { int size = S.size(); int count = 0; for( int i = 0 ; i < size ; i++ ){ if( S.substr( i , 1 ) == " " ){ count++; } } assert( count + 1 == VARIABLE_NUMBER ); } 

#define TE template
#define TY typename
#define US using
#define ST static
#define IN inline
#define CL class
#define PU public
#define OP operator
#define CE constexpr
#define CO const
#define NE noexcept
#define RE return 
#define WH while
#define VO void
#define VE vector
#define LI list
#define BE begin
#define EN end
#define SZ size
#define MO move
#define TH this
#define CRI CO int&
#define CRUI CO uint&

#include <vector>

// Tが加法について可換群をなす場合にのみサポート。

// - 構築 O(size)

// - 一点根取得 O(α(size))
// - 全根取得 O(size)
// - 根数取得 O(1)

// - 二点符号付き重み取得 O(α(size))
// - 二点接合 O(α(size))
template <typename T = int>
class UnionFindForest
{

private:
  uint m_node_size;
  uint m_root_size;
  vector<uint> m_pred;
  vector<uint> m_height;
  // m_w[num]はnum番目のnodeがrootならば0、rootでないならば親nodeへ向かうパスの符号付き重み
  vector<T> m_w;
  
public:
  inline UnionFindForest( const uint& size );

  // num番目のnodeのrootを計算して返す。
  const uint& RootOfNode( const uint& num );
  // rootを全て格納する。
  template <template <typename...> typename V> void SetRoot( V<uint>& a ) const;

  // num1番目のnodeからnum0番目のnodeへ向かうパスの符号付き重みを返す。
  inline T Weight( const uint& num0 , const uint& num1 );
  
  inline const uint& SizeOfNode() const noexcept;
  inline const uint& SizeOfRoot() const noexcept;

  // num1番目のnodeからnum0番目のnodeへ符号付き重みwの有向辺を結ぶ操作と整合的に
  // なるようにrootを接合。符号付き重みの整合性が取れない場合はfalseを返す。
  bool Graft( const uint& num0 , const uint& num1 , const T& w = 0 );
  
};

template <typename T> inline UnionFindForest<T>::UnionFindForest( const uint& size ) : m_node_size( size ) , m_root_size( m_node_size ) , m_pred( m_node_size ) , m_height( m_node_size , 1 ) , m_w( m_node_size ) { for( uint i = 0 ; i < m_node_size ; i++ ){ m_pred[i] = i; } }

template <typename T>
const uint& UnionFindForest<T>::RootOfNode( const uint& num )
{

  uint& pred1 = m_pred[num];

  while( true ){
    
    uint& pred2 = m_pred[pred1];

    if( pred1 == pred2 ){

      break;

    }

    m_w[num] += m_w[pred1] += m_w[pred2];
    pred1 = pred2 = m_pred[pred2];

  }

  return pred1;

}

template <typename T> template <template <typename...> typename V>
void UnionFindForest<T>::SetRoot( V<uint>& a ) const
{

  a.clear();

  for( uint i = 0 ; i < m_node_size ; i++ ){

    if( i == m_pred[i] ){
      
      a.push_back( i );

    }

  }

  return;

}

template <typename T>
T UnionFindForest<T>::Weight( const uint& num0 , const uint& num1 )
{

  assert( num0 < m_node_size && num1 < m_node_size );
  const uint& root0 = RootOfNode( num0 );
  const uint& root1 = RootOfNode( num1 );
  assert( root0 == root1 );
  return m_w[num1] - m_w[num0];

}

template <typename T> inline const uint& UnionFindForest<T>::SizeOfNode() const noexcept { return m_node_size; }
template <typename T> inline const uint& UnionFindForest<T>::SizeOfRoot() const noexcept { return m_root_size; }

template <typename T>
bool UnionFindForest<T>::Graft( const uint& num0 , const uint& num1 , const T& w )
{

  assert( num0 < m_node_size && num1 < m_node_size );
  const uint& root0 = RootOfNode( num0 );
  const uint& root1 = RootOfNode( num1 );

  if( root0 == root1 ){

    return Weight( num0 , num1 ) == w;
    
  }

  uint& height0 = m_height[root0];
  const uint& height1 = m_height[root1];
  const uint* p_removed_root;
  const uint* p_removed_node;
  const uint* p_kept_root;

  if( height0 < height1 ){

    p_removed_root = &root0;
    p_removed_node = &num0;
    p_kept_root = &root1;
    m_w[*p_removed_root] -= w - m_w[num1] + m_w[num0];

  } else {

    if( height0 == height1 ){

      height0++;

    }

    p_removed_root = &root1;
    p_removed_node = &num1;
    p_kept_root = &root0;
    m_w[*p_removed_root] += w - m_w[num1] + m_w[num0];

  }

  if( *p_removed_node != *p_removed_root ){

    m_w[*p_removed_node] += m_w[*p_removed_root];

  }
  
  m_pred[*p_removed_node] = m_pred[*p_removed_root] = *p_kept_root;
  m_root_size--;
  return true;

}

int main()
{
  UNTIE;
  CEXPR( uint , bound , 200000 );
  CIN_ASSERT( N , 1 , bound );
  CIN_ASSERT( M , 0 , N < ( 1 << 15 ) ? min( bound , ( N * ( N - 1 ) ) >> 1 ) : bound );
  UnionFindForest<> uff{ N << 1 };
  FOR( i , 0 , M ){
    CIN_ASSERT( Ai , 1 , N );
    CIN_ASSERT( Bi , 1 , N );
    assert( Ai != Bi );
    Ai--;
    Bi--;
    uff.Graft( Ai , Bi + N );
    uff.Graft( Ai + N , Bi );
  }
  CHECK_REDUNDANT_INPUT;
  FOR( j , 0 , N ){
    if( uff.RootOfNode( j ) != uff.RootOfNode( j + N ) ){
      RETURN( "No" );
    }
  }
  RETURN( "Yes" );
}