#pragma GCC optimize ("O3")
#pragma GCC target ("avx")
#include "bits/stdc++.h" // define macro "/D__MAI"

using namespace std;
typedef long long int ll;

#define debugv(v) printf("L%d %s => ",__LINE__,#v);for(auto e:v){cout<<e<<" ";}cout<<endl;
#define debugm(m) printf("L%d %s is..\n",__LINE__,#m);for(auto v:m){for(auto e:v){cout<<e<<" ";}cout<<endl;}
#define debuga(m,w) printf("L%d %s is => ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<<endl;
#define debugaa(m,w,h) printf("L%d %s is..\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[x][y]<<" ";}cout<<endl;}
#define debugaar(m,w,h) printf("L%d %s is..\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout<<endl;}
#define ALL(v) (v).begin(),(v).end()
#define repeat(l) for(auto cnt=0;cnt<(l);++cnt)
#define iterate(b,e) for(auto cnt=(b);cnt!=(e);++cnt)
#define MD 1000000007ll
#define PI 3.1415926535897932384626433832795
template<typename T1, typename T2>
ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << "(" << p.first << ":" << p.second << ")"; return o; }

#define TIME chrono::system_clock::now()
#define MILLISEC(t) (chrono::duration_cast<chrono::milliseconds>(t).count())
namespace {
    std::chrono::system_clock::time_point ttt;
    void tic() { ttt = TIME; }
    void toc() { fprintf(stderr, "TIME : %lldms\n", MILLISEC(TIME - ttt)); }
    std::chrono::system_clock::time_point tle = TIME;
#ifdef __MAI
    void safe_tle(int msec) { assert(MILLISEC(TIME - tle) < msec); }
#else
#define safe_tle(k) ;
#endif
}

#ifdef __MAI
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
#ifdef __VSCC
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#endif
namespace {
#define isvisiablechar(c) (0x21<=(c)&&(c)<=0x7E)
    class MaiScanner {
    public:
        template<typename T>
        void input_integer(T& var) {
            var = 0;
            T sign = 1;
            int cc = getchar_unlocked();
            for (; cc<'0' || '9'<cc; cc = getchar_unlocked())
                if (cc == '-') sign = -1;
            for (; '0' <= cc&&cc <= '9'; cc = getchar_unlocked())
                var = (var << 3) + (var << 1) + cc - '0';
            var = var*sign;
        }
        inline int c() { return getchar_unlocked(); }
        inline MaiScanner& operator>>(int& var) {
            input_integer<int>(var);
            return *this;
        }
        inline MaiScanner& operator>>(long long& var) {
            input_integer<long long>(var);
            return *this;
        }
        inline MaiScanner& operator>>(string& var) {
            int cc = getchar_unlocked();
            for (; !isvisiablechar(cc); cc = getchar_unlocked());
            for (; isvisiablechar(cc); cc = getchar_unlocked())
                var.push_back(cc);
        }
    };
    class MaiPrinter {
        int stack_p;
        char stack[32];
    public:
        template<typename T>
        void output_integer(T var) {
            if (var == 0) {
                putchar_unlocked('0');
                return;
            }
            if (var < 0) {
                putchar_unlocked('-');
                var = -var;
            }
            stack_p = 0;
            while (var) {
                stack[stack_p++] = '0' + (var % 10);
                var /= 10;
            }
            while (stack_p)
                putchar_unlocked(stack[--stack_p]);
        }
        MaiPrinter& operator<<(char c) {
            putchar_unlocked(c);
            return *this;
        }
        MaiPrinter& operator<<(int var) {
            output_integer<int>(var);
            return *this;
        }
        MaiPrinter& operator<<(long long var) {
            output_integer<long long>(var);
            return *this;
        }
        MaiPrinter& operator<<(const string& str) {
            const char* p = str.c_str();
            const char* l = p + str.size();
            while (p < l) putchar_unlocked(*p++);
            return *this;
        }
    };
}
MaiScanner scanner;
MaiPrinter printer;


// ----------------------------------------------------
// 答案ここから
// ---------------------------------------------------


void connect(int u, int v) {
    printer << (u + 1) << ' ' << (v + 1) << '\n';
}


int main() {
    ll n, m;
    scanner >> n >> m;

    // 二部グラフの頂点数na, n-na
    // 完全二部グラフを考えたとき，辺の数が最も多くなるようなna, nbを求める．(na < nb)
    ll na = n/2;
    ll mbest = na*(n-na);
    
    // 入力から与えられたmが範囲内かどうか調べる．
    if (m < n - 1 || mbest < m) {
        cout << "NO" << endl;
        return 0;
    }

    printer << "YES \n";

    // 頂点に書き込まれる値 = 頂点noとする．
    repeat(n) { printer << (cnt + 1) << ' '; }
    printer << '\n';

    // 連結にするための最小限の辺を引く．
    connect(0, na); --m;
    iterate(1, na) {
        connect(cnt, na + cnt - 1);
        connect(cnt, na + cnt);
        m -= 2;
    }
    iterate(na*2, n) {
        connect(na - 1, cnt);
        m -= 1;
    }


    // 残りの辺を加える．
    int ai = 0;
    int bi = 1;
    repeat(m) {
        if (ai == bi || ai == bi + 1) {
            --cnt; // redo
        }
        else {
            connect(ai, na + bi);
        }
        // インクリメント
        if (++bi >= n - na) {
            ++ai;
            bi = 0;
        }
    }




    return 0;
}