You have N items that you want to put them into a knapsack. Item i has value vi and weight wi.

You want to find a subset of items to put such that:

* The total value of the items is as large as possible.
* The items have combined weight at most W, that is capacity of the knapsack.



Find the maximum total value of items in the knapsack.

Constraints

* 1 ≤ N ≤ 40
* 1 ≤ vi ≤ 1015
* 1 ≤ wi ≤ 1015
* 1 ≤ W ≤ 1015

Input


N W
v1 w1
v2 w2
:
vN wN


The first line consists of the integers N and W. In the following N lines, the value and weight of the i-th item are given.

Output

Print the maximum total values of the items in a line.

Examples

Input

4 5
4 2
5 2
2 1
8 3


Output

13


Input

2 20
5 9
4 10


Output

9
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#define MOD 1000000009
#define INF 1000000000
#define LINF 1000000000000000000

using namespace std;

typedef long long ll;
typedef pair<int, int> P;
typedef pair<ll, ll> LP;

const int dx[] = {0, 0, 1, -1};
const int dy[] = {1, -1, 0, 0};
const int ddx[] = {1, 1, 0, -1, -1, -1, 0, 1};
const int ddy[] = {0, 1, 1, 1, 0, -1, -1, -1};

ll gcd(ll a, ll b) {
    if(b == 0) return a;
    return gcd(b, a % b);
}

int extgcd(int a, int b, int& x, int&y) {
    int d = a;
    if(b != 0) {
        d = extgcd(b, a % b, y, x);
        y -= (a / b) * x;
    }else {
        x = 1;
        y = 0;
    }
    return d;
}

int inv(int a, int mod) {
    int x, y;
    extgcd(a, mod, x, y);
    return (x + mod) % mod;
}

template<int mod> struct modint {
    int val;

    modint() {
        val = 0;
    }
    modint(int _val) {
        if(_val < 0) _val += mod * (-_val / mod + 1);
        val = _val % mod;
    }

    modint &operator=(const modint &x) {
        val = x.val;
        return *this;
    }
    bool operator==(const modint &rhs) const {return val == rhs.val;}
    bool operator<(const modint &rhs) const {return val < rhs.val;}
    bool operator>(const modint &rhs) const {return val > rhs.val;}
    bool operator<=(const modint &rhs) const {return val <= rhs.val;}
    bool operator>=(const modint &rhs) const {return val >= rhs.val;}
    bool operator!=(const modint &rhs) const {return val != rhs.val;}
    modint operator+(const modint &rhs) const {return modint<mod>(val + rhs.val);}
    modint operator-(const modint &rhs) const {return modint<mod>(val - rhs.val);}
    modint operator*(const modint &rhs) const {return modint<mod>((int)((ll)val * rhs.val % mod));}
    modint operator/(const modint &rhs) const {return modint<mod>((int)((ll)val * inv(rhs.val, mod) % mod));}
    modint &operator+=(const modint &rhs) {
        val = modint<mod>(val + rhs.val).val;
        return *this;
    }
    modint &operator-=(const modint &rhs) {
        val = modint<mod>(val - rhs.val).val;
        return *this;
    }
    modint &operator*=(const modint &rhs) {
        val = (int)((ll)val * rhs.val % mod);
        return *this;
    }
    modint &operator/=(const modint &rhs) {
        val = (int)((ll)val * inv(rhs.val, mod) % mod);
        return *this;
    }
};

struct unitree {
    int *par, *rank, *sz;

    unitree(int n) {
        par = new int[n];
        rank = new int[n];
        sz = new int[n];
        for(int i = 0; i < n; i++) {
            par[i] = i;
            rank[i] = 0;
            sz[i] = 1;
        }
    }

    int root(int x) {
        if(par[x] == x) return x;
        else return par[x] = root(par[x]);
    }

    void merge(int x, int y) {
        x = root(x);
        y = root(y);
        if(x == y) return;
        if(rank[x] < rank[y]) {
            par[x] = y;
            sz[y] += sz[x];
        }else {
            par[y] = x;
            if(rank[x] == rank[y]) rank[x]++;
            sz[x] += sz[y];
        }
    }
    
    bool same(int x, int y) {
        return root(x) == root(y);
    }

    int siz(int x) {
        return sz[root(x)];
    }
};

bool check(ll mid) {
    return true;
}

ll bin(ll left, ll right) {
    while(right - left > 1) {
        ll mid = (left + right) / 2;
        if(check(mid)) left = mid;
        else right = mid;
    }
    return left;
}

struct vect {
    ll x, y;
    vect() {
        x = 0;
        y = 0;
    }
    vect(ll x, ll y) {
        this->x = x;
        this->y = y;
    }

    int posi() const {
        if(x == 0 && y == 0) exit(1);
        if(x > 0 && y == 0) return 0;
        if(x > 0 && y > 0) return 1;
        if(x == 0 && y > 0) return 2;
        if(x < 0 && y > 0) return 3;
        if(x < 0 && y == 0) return 4;
        if(x < 0 && y < 0) return 5;
        if(x == 0 && y < 0) return 6;
        if(x > 0 && y < 0) return 7;
    }

    int posi(const vect& v) const {
        ll s = x * v.y - y * v.x;
        ll c = x * v.x + y * v.y;
        if(s == 0 && c == 0) exit(1);
        if(s == 0 && c > 0) return 0;
        if(s > 0 && c > 0) return 1;
        if(s > 0 && c == 0) return 2;
        if(s > 0 && c < 0) return 3;
        if(s == 0 && c < 0) return 4;
        if(s < 0 && c < 0) return 5;
        if(s < 0 && c == 0) return 6;
        if(s < 0 && c > 0) return 7;
    }

    bool operator<(const vect& rhs) {
        int p1 = posi();
        int p2 = rhs.posi();
        if(p1 != p2) return p1 < p2;
        return rhs.x * y < x * rhs.y;
    }
};

signed main() {
    int n;
    ll wm;
    cin >> n >> wm;
    ll* v = new ll[n];
    ll* w = new ll[n];
    rep(i, n) cin >> v[i] >> w[i];
    
    int s[] = {n / 2, n - n / 2};
    vector<LP> sum[2];
    vector<ll> vres[2];
    vector<ll> wres[2];
    rep(i, 2) {
        rep(j, 1 << s[i]) {
            ll vtmp = 0;
            ll wtmp = 0;
            rep(k, s[i]) {
                if((j >> k) & 1) {
                    int ind = (i == 0? 0 : s[0]) + k;
                    vtmp += v[ind];
                    wtmp += w[ind];
                }
            }
            sum[i].push_back(LP(wtmp, -vtmp));
        }
        sort(sum[i].begin(), sum[i].end());
        ll tmp = 0;
        vres[i].push_back(0);
        wres[i].push_back(0);
        rep(j, sum[i].size()) {
            if(tmp < -sum[i][j].second) {
                tmp = -sum[i][j].second;
                vres[i].push_back(tmp);
                wres[i].push_back(sum[i][j].first);
            }
        }
    }

    ll ans = 0;
    rep(i, vres[0].size()) {
        int ind = upper_bound(wres[1].begin(), wres[1].end(), wm - wres[0][i]) - wres[1].begin();
        if(ind != 0) ans = max(ans, vres[0][i] + vres[1][--ind]);
    }
    cout << ans << endl;
}

