Problem: Consider a system of n water taps all pouring water into the same container. The i-th water tap can be set to deliver any amount of water from 0 to ai ml per second (this amount may be a real number). The water delivered by i-th tap has temperature ti.

If for every <image> you set i-th tap to deliver exactly xi ml of water per second, then the resulting temperature of water will be <image> (if <image>, then to avoid division by zero we state that the resulting water temperature is 0).

You have to set all the water taps in such a way that the resulting temperature is exactly T. What is the maximum amount of water you may get per second if its temperature has to be T?

Input

The first line contains two integers n and T (1 ≤ n ≤ 200000, 1 ≤ T ≤ 106) — the number of water taps and the desired temperature of water, respectively.

The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 106) where ai is the maximum amount of water i-th tap can deliver per second.

The third line contains n integers t1, t2, ..., tn (1 ≤ ti ≤ 106) — the temperature of water each tap delivers.

Output

Print the maximum possible amount of water with temperature exactly T you can get per second (if it is impossible to obtain water with such temperature, then the answer is considered to be 0).

Your answer is considered correct if its absolute or relative error doesn't exceed 10 - 6.

Examples

Input

2 100
3 10
50 150


Output

6.000000000000000


Input

3 9
5 5 30
6 6 10


Output

40.000000000000000


Input

2 12
1 3
10 15


Output

1.666666666666667

Solution (in CPP):

Solution:
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("unroll-loops")

#define _CRT_SECURE_NO_WARNINGS
# include <iostream>
# include <cmath>
# include <algorithm>
# include <stdio.h>
# include <cstdint>
# include <cstring>
# include <string>
# include <cstdlib>
# include <vector>
# include <bitset>
# include <map>
# include <queue>
# include <ctime>
# include <stack>
# include <set>
# include <list>
# include <random>
# include <deque>
# include <functional>
# include <iomanip>
# include <sstream>
# include <fstream>
# include <complex>
# include <numeric>
# include <immintrin.h>
# include <cassert>
# include <array>
# include <tuple>

#ifdef LOCAL
# include <opencv2/core/core.hpp>
# include <opencv2/highgui/highgui.hpp>
# include <opencv2/imgproc/imgproc.hpp>
# include <opencv2/objdetect/objdetect.hpp>
#endif

using namespace std;

// Let's define unordered map
# ifdef __GNUC__
# if __cplusplus > 199711L
# include <unordered_set>
# include <unordered_map>
# else
# include <tr1/unordered_map>
# include <tr1/unordered_set>
using namespace tr1;
# endif
# else
# include <unordered_map>
# include <unordered_set>
# endif

#define VA_NUM_ARGS(...) VA_NUM_ARGS_IMPL_((0,__VA_ARGS__, 6,5,4,3,2,1))
#define VA_NUM_ARGS_IMPL_(tuple) VA_NUM_ARGS_IMPL tuple
#define VA_NUM_ARGS_IMPL(_0,_1,_2,_3,_4,_5,_6,N,...) N
#define macro_dispatcher(macro, ...) macro_dispatcher_(macro, VA_NUM_ARGS(__VA_ARGS__))
#define macro_dispatcher_(macro, nargs) macro_dispatcher__(macro, nargs)
#define macro_dispatcher__(macro, nargs) macro_dispatcher___(macro, nargs)
#define macro_dispatcher___(macro, nargs) macro ## nargs
#define DBN1(a)           cerr<<#a<<"="<<(a)<<"\n"
#define DBN2(a,b)         cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<"\n"
#define DBN3(a,b,c)       cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<"\n"
#define DBN4(a,b,c,d)     cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<"\n"
#define DBN5(a,b,c,d,e)   cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<", "<<#e<<"="<<(e)<<"\n"
#define DBN6(a,b,c,d,e,f) cerr<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<", "<<#e<<"="<<(e)<<", "<<#f<<"="<<(f)<<"\n"
#define DBN(...) macro_dispatcher(DBN, __VA_ARGS__)(__VA_ARGS__)
#define DA(a,n) cerr<<#a<<"=["; printarray(a,n); cerr<<"]\n"
#define DAR(a,n,s) cerr<<#a<<"["<<s<<"-"<<n-1<<"]=["; printarray(a,n,s); cerr<<"]\n"

#ifdef _MSC_VER
#define PREFETCH(ptr, rw, level) ((void)0)
#else
#define PREFETCH(ptr, rw, level) __builtin_prefetch(ptr, rw, level)
#endif

#ifdef LOCAL
#define CURTIME() cerr << clock() * 1.0 / CLOCKS_PER_SEC << endl
#else
#define CURTIME()
#endif

#define mp make_pair
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef int itn;

template<class T1, class T2, class T3>
struct triple{ T1 a; T2 b; T3 c; triple() : a(T1()), b(T2()), c(T3()) {}; triple(T1 _a, T2 _b, T3 _c) :a(_a), b(_b), c(_c){} };
template<class T1, class T2, class T3>
bool operator<(const triple<T1,T2,T3>&t1,const triple<T1,T2,T3>&t2){if(t1.a!=t2.a)return t1.a<t2.a;else if(t1.b!=t2.b)return t1.b<t2.b;else return t1.c<t2.c;}
template<class T1, class T2, class T3>
bool operator>(const triple<T1,T2,T3>&t1,const triple<T1,T2,T3>&t2){if(t1.a!=t2.a)return t1.a>t2.a;else if(t1.b!=t2.b)return t1.b>t2.b;else return t1.c>t2.c;}
#define tri triple<int,int,int>
#define trll triple<ll,ll,ll>

#define FI(n) for(int i=0;i<(n);++i)
#define FJ(n) for(int j=0;j<(n);++j)
#define FK(n) for(int k=0;k<(n);++k)
#define FL(n) for(int l=0;l<(n);++l)
#define FQ(n) for(int q=0;q<(n);++q)
#define FOR(i,a,b) for(int i = (a), __e = (int) (b); i < __e; ++i)
#define all(a) std::begin(a), std::end(a)
#define reunique(v) v.resize(std::unique(v.begin(), v.end()) - v.begin())

#define sqr(x) ((x) * (x))
#define sqrt(x) sqrt(1.0 * (x))
#define pow(x, n) pow(1.0 * (x), n)

#define COMPARE(obj) [&](const std::decay_t<decltype(obj)>& a, const std::decay_t<decltype(obj)>& b)
#define COMPARE_BY(obj, field) [&](const std::decay_t<decltype(obj)>& a, const std::decay_t<decltype(obj)>& b) { return a.field < b.field; }

#define checkbit(n, b) (((n) >> (b)) & 1)
#define setbit(n, b) ((n) | (static_cast<std::decay<decltype(n)>::type>(1) << (b)))
#define removebit(n, b) ((n) & ~(static_cast<std::decay<decltype(n)>::type>(1) << (b)))
#define flipbit(n, b) ((n) ^ (static_cast<std::decay<decltype(n)>::type>(1) << (b)))
inline int countBits(uint v){v=v-((v>>1)&0x55555555);v=(v&0x33333333)+((v>>2)&0x33333333);return((v+(v>>4)&0xF0F0F0F)*0x1010101)>>24;}
inline int countBits(ull v){uint t=v>>32;uint p=(v & ((1ULL << 32) - 1)); return countBits(t) + countBits(p); }
inline int countBits(ll v){return countBits((ull)v); }
inline int countBits(int v){return countBits((uint)v); }
unsigned int reverseBits(uint x){ x = (((x & 0xaaaaaaaa) >> 1) | ((x & 0x55555555) << 1)); x = (((x & 0xcccccccc) >> 2) | ((x & 0x33333333) << 2)); x = (((x & 0xf0f0f0f0) >> 4) | ((x & 0x0f0f0f0f) << 4)); x = (((x & 0xff00ff00) >> 8) | ((x & 0x00ff00ff) << 8)); return((x >> 16) | (x << 16)); }
template<class T> inline int sign(T x){ return x > 0 ? 1 : x < 0 ? -1 : 0; }
inline bool isPowerOfTwo(int x){ return (x != 0 && (x&(x - 1)) == 0); }
constexpr ll power(ll x, int p) { return p == 0 ? 1 : (x * power(x, p - 1)); }
//template<class T1, class T2, class T3> T1 inline clamp(T1 x, const T2& a, const T3& b) { if (x < a) return a; else if (x > b) return b; else return x; }
unsigned long long rdtsc() { unsigned long long ret = 0;
#ifdef __clang__
    return __builtin_readcyclecounter();
#endif
#ifndef _MSC_VER
    asm volatile("rdtsc" : "=A" (ret) : :);
#endif
    return ret; }
// Fast IO ********************************************************************************************************
const int __BS = 4096;
static char __bur[__BS + 16], *__er = __bur + __BS, *__ir = __er;
template<class T = int> T readInt() {
    auto c = [&]() { if (__ir == __er) std::fill(__bur, __bur + __BS, 0), cin.read(__bur, __BS), __ir = __bur; };
    c(); while (*__ir && (*__ir < '0' || *__ir > '9') && *__ir != '-') ++__ir; c();
    bool m = false; if (*__ir == '-') ++__ir, c(), m = true;
    T r = 0; while (*__ir >= '0' && *__ir <= '9') r = r * 10 + *__ir - '0', ++__ir, c();
    ++__ir; return m ? -r : r;
}
static char __buw[__BS + 20], *__iw = __buw, *__ew = __buw + __BS;
template<class T>
void writeInt(T x, char endc = '\n') {
    if (x < 0) *__iw++ = '-', x = -x; if (x == 0) *__iw++ = '0';
    char* s = __iw;
    while (x) { T t = x / 10; char c = x - 10 * t + '0'; *__iw++ = c; x = t; }
    char* f = __iw - 1; while (s < f) swap(*s, *f), ++s, --f;
    if (__iw > __ew) cout.write(__buw, __iw - __buw), __iw = __buw;
    *__iw++ = endc;
}
template<class T>
void writeStr(const T& str) {
    int i = 0; while (str[i]) { *__iw++ = str[i++]; if (__iw > __ew) cout.write(__buw, __iw - __buw), __iw = __buw; }
}
struct __FL__ { ~__FL__() { if (__iw != __buw) cout.write(__buw, __iw - __buw); } };
static __FL__ __flushVar__;

//STL output *****************************************************************************************************
#define TT1 template<class T>
#define TT1T2 template<class T1, class T2>
#define TT1T2T3 template<class T1, class T2, class T3>
TT1T2 ostream& operator << (ostream& os, const pair<T1, T2>& p);
TT1 ostream& operator << (ostream& os, const vector<T>& v);
TT1T2 ostream& operator << (ostream& os, const set<T1, T2>&v);
TT1T2 ostream& operator << (ostream& os, const multiset<T1, T2>&v);
TT1T2 ostream& operator << (ostream& os, priority_queue<T1, T2> v);
TT1T2T3 ostream& operator << (ostream& os, const map<T1, T2, T3>& v);
TT1T2T3 ostream& operator << (ostream& os, const multimap<T1, T2, T3>& v);
TT1T2T3 ostream& operator << (ostream& os, const triple<T1, T2, T3>& t);
template<class T, size_t N> ostream& operator << (ostream& os, const array<T, N>& v);
TT1T2 ostream& operator << (ostream& os, const pair<T1, T2>& p){ return os <<"("<<p.first<<", "<< p.second<<")"; }
TT1 ostream& operator << (ostream& os, const vector<T>& v){       bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
template<class T, size_t N> ostream& operator << (ostream& os, const array<T, N>& v) {     bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const set<T1, T2>&v){    bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const multiset<T1,T2>&v){bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2T3 ostream& operator << (ostream& os, const map<T1,T2,T3>& v){ bool f = 1; os << "["; for (auto& ii : v) { if (!f)os << ", "; os << "(" << ii.first << " -> " << ii.second << ") "; f = 0; }return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const multimap<T1, T2>& v){ bool f = 1; os << "["; for (auto& ii : v) { if (!f)os << ", "; os << "(" << ii.first << " -> " << ii.second << ") "; f = 0; }return os << "]"; }
TT1T2 ostream& operator << (ostream& os, priority_queue<T1, T2> v) { bool f = 1; os << "["; while (!v.empty()) { auto x = v.top(); v.pop(); if (!f) os << ", "; f = 0; os << x; } return os << "]"; }
TT1T2T3 ostream& operator << (ostream& os, const triple<T1, T2, T3>& t){ return os << "(" << t.a << ", " << t.b << ", " << t.c << ")"; }
TT1T2 void printarray(const T1& a, T2 sz, T2 beg = 0){ for (T2 i = beg; i<sz; i++) cout << a[i] << " "; cout << endl; }

//STL input *****************************************************************************************************
TT1T2T3 inline istream& operator >> (istream& os, triple<T1, T2, T3>& t);
TT1T2 inline istream& operator >> (istream& os, pair<T1, T2>& p) { return os >> p.first >> p.second; }
TT1 inline istream& operator >> (istream& os, vector<T>& v) {
    if (v.size()) for (T& t : v) os >> t; else {
        string s; T obj; while (s.empty()) {getline(os, s); if (!os) return os;}
        stringstream ss(s); while (ss >> obj) v.push_back(obj);
    }
    return os;
}
TT1T2T3 inline istream& operator >> (istream& os, triple<T1, T2, T3>& t) { return os >> t.a >> t.b >> t.c; }

//Pair magic *****************************************************************************************************
#define PT1T2 pair<T1, T2>
TT1T2 inline PT1T2 operator+(const PT1T2 &p1 , const PT1T2 &p2) { return PT1T2(p1.first + p2.first, p1.second + p2.second); }
TT1T2 inline PT1T2& operator+=(PT1T2 &p1 , const PT1T2 &p2) { p1.first += p2.first, p1.second += p2.second; return p1; }
TT1T2 inline PT1T2 operator-(const PT1T2 &p1 , const PT1T2 &p2) { return PT1T2(p1.first - p2.first, p1.second - p2.second); }
TT1T2 inline PT1T2& operator-=(PT1T2 &p1 , const PT1T2 &p2) { p1.first -= p2.first, p1.second -= p2.second; return p1; }

#undef TT1
#undef TT1T2
#undef TT1T2T3

#define FREIN(FILE) freopen(FILE, "rt", stdin)
#define FREOUT(FILE) freopen(FILE, "wt", stdout)
#ifdef LOCAL
#define BEGIN_PROFILE(idx, name) int profileIdx = idx; profileName[profileIdx] = name; totalTime[profileIdx] -= rdtsc() / 1e3;
#define END_PROFILE totalTime[profileIdx] += rdtsc() / 1e3; totalCount[profileIdx]++;
#else
#define BEGIN_PROFILE(idx, name)
#define END_PROFILE
#endif

template<class T> inline void normmod(T &x, T m) { x %= m; if (x < 0) x += m; }
template<class T1, class T2> inline T2 summodfast(T1 x, T1 y, T2 m) { T2 res = x + y; if (res >= m) res -= m; return res; }
template<class T1, class T2, class T3> inline void addmodfast(T1 &x, T2 y, T3 m) { x += y; if (x >= m) x -= m; }
template<class T1, class T2, class T3> inline void submodfast(T1 &x, T2 y, T3 m) { x -= y; if (x < 0) x += m; }
#if INTPTR_MAX == INT32_MAX or !defined(__SIZEOF_INT128__)
inline ll mulmod(ll x, ll n, ll m){ ll r = 0; normmod(x, m); normmod(n, m); while (n) { if (n & 1) r += x; x += x; if (r >= m) r -= m; if (x >= m) x -= m; n /= 2; } return r; }
#else
using int128 = __int128;
inline ll mulmod(ll x, ll n, ll m){ return __int128(x) * n % m; }
#endif
inline ll powmod(ll x, ll n, ll m){ ll r = 1; normmod(x, m); while (n){ if (n & 1) r *= x; x *= x; r %= m; x %= m; n /= 2; }return r; }
inline ll powmulmod(ll x, ll n, ll m) { ll res = 1; normmod(x, m); while (n){ if (n & 1)res = mulmod(res, x, m); x = mulmod(x, x, m); n /= 2; } return res; }
template<class T> inline T gcd(T a, T b) { while (b) { T t = a % b; a = b; b = t; } return a; }
template<class T>
T fast_gcd(T u, T v) {
    int shl = 0; while ( u && v && u != v) { T eu = u & 1; u >>= eu ^ 1; T ev = v & 1; v >>= ev ^ 1;
        shl += (~(eu | ev) & 1); T d = u & v & 1 ? (u + v) >> 1 : 0; T dif = (u - v) >> (sizeof(T) * 8 - 1); u -= d & ~dif; v -= d & dif;
    } return std::max(u, v) << shl;
}

inline ll lcm(ll a, ll b){ return a / gcd(a, b) * b; }
template<class T> inline T gcd(T a, T b, T c){ return gcd(gcd(a, b), c); }
ll gcdex(ll a, ll b, ll& x, ll& y) {
    if (!a) { x = 0; y = 1; return b; }
    ll y1; ll d = gcdex(b % a, a, y, y1); x = y1 - (b / a) * y;
    return d;
}
template<class T> bool isPrime(T x) { if (x <= 4 || x % 2 == 0 || x % 3 == 0) return x == 2 || x == 3;
    for (T i = 5; i * i <= x; i += 6) if (x % i == 0 || x % (i + 2) == 0) return 0; return 1; }
bool millerRabin(long long n) {
    if (n <= 1000) return isPrime(n);
    long long s = n - 1; int t = 0; while (s % 2 == 0) s /= 2, ++t;
    for (int a : {2, 325, 9375, 28178, 450775, 9780504, 1795265022}) { if (!(a %= n)) return true;
        long long f = powmulmod(a, s, n); if (f == 1 || f == n - 1) continue;
        for (int i = 1; i < t; ++i) if ((f = mulmod(f, f, n)) == n - 1) goto nextp;
        return false; nextp:;
    } return true;
}

// Useful constants

//int some_primes[7] = {24443, 100271, 1000003, 1000333, 5000321, 98765431, 1000000123};
#define T9          1000000000
#define T18         1000000000000000000LL
#define INF         1011111111
#define LLINF       1000111000111000111LL
#define mod         1000000007
#define fftmod      998244353
#define EPS         (double)1e-10
#define PI          3.14159265358979323846264
#define link        asaxlajrewqwe
#define rank        wahayawehasdakw
//*************************************************************************************


int32_t solve();
int32_t main(int argc, char** argv) {
    ios_base::sync_with_stdio(0);cin.tie(0);
#ifdef LOCAL
    //        FREIN("input.txt");
    //        FREOUT("out.txt");
#endif
    return solve();
}
int n;
int t;
int a[202020];
int b[202020];
vector<pii> v;
int solve() {
    cin >> n >> t;
    FI(n) {
        cin >> a[i];
    }
    bool e[3] = {};
    FI(n) {
        cin >> b[i];
        e[0] |= b[i] < t;
        e[1] |= b[i] > t;
        e[2] |= b[i] == t;
        if (b[i] < t) {
            v.push_back({b[i], a[i]});
        }
    }
    if (!e[2] && (e[0] * e[1]) == 0) {
        cout << 0 << endl;
        return 0;
    }
    sort(all(v));
    reverse(all(v));
    long double ans = 0;
    long double sum = 0;
    FI(n) {
        if (b[i] >= t) {
            ans += a[i];
            sum += b[i] * 1.0L * a[i];
        }
    }
//    DBN(ans);
    for (auto p : v) {
        long double e = p.first * 1.0L * p.second;
        if ((sum + e) / (ans + p.second) >= t) {
            sum += e;
            ans += p.second;
        } else {
            // (sum + x * e) = t * (ans + p.second * x)
            // sum + x * (e - t * p.second) = t * ans
            long double x = (t * ans - sum) / (e - t * 1.0 * p.second);
            sum += x * e;
            ans += x * p.second;
            break;
        }
    }
    cout << fixed;
    cout.precision(12);
    if (sum / ans <= t + 1e-12) {
        cout << ans << endl;
    } else {
        v.clear();
        FI(n) {
            if (b[i] > t) {
                v.push_back({b[i], a[i]});
            }
        }
        sort(all(v));
        long double ans = 0;
        long double sum = 0;
        FI(n) {
            if (b[i] <= t) {
                ans += a[i];
                sum += b[i] * 1.0L * a[i];
            }
        }
//        DBN(ans);
        for (auto p : v) {
            long double e = p.first * 1.0L * p.second;
            if ((sum + e) / (ans + p.second) <= t) {
                sum += e;
                ans += p.second;
            } else {
                // (sum + x * e) = t * (ans + p.second * x)
                // sum + x * (e - t * p.second) = t * ans
                long double x = (t * ans - sum) / (e - t * 1.0 * p.second);
                sum += x * e;
                ans += x * p.second;
                break;
            }
        }
        cout << ans << endl;
    }
    return 0;
}