#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fst first
#define snd second
#define pb push_back
#define forn(i,a,b) for(int i = a; i < b; i++)
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
#define mset(a,v) memset((a),(v),sizeof(a))
#define FIN ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define dbg(v) cout<<"Line("<<__LINE__<<"): "<<#v<<" = "<<v<<'\n';
#define pi pair<int,int>
#define pll pair<ll,ll>
typedef long long ll;
using namespace std;
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
typedef tree<int,null_type,less_equal<int>,rb_tree_tag,tree_order_statistics_node_update> indexed_multiset;
int main(){
ll n,m; cin>>n>>m;
vector<ll> a(n); forn(i,0,n) cin>>a[i];
vector<ll> b(n); forn(i,0,n) cin>>b[i];
forn(i,0,n) a[i]=max(a[i],b[i]);
__int128 l = 1; __int128 r = 1000000000000000000;
while(l<=r){
__int128 mid=__int128(l+r)/(__int128)2;
//cout<<mid<<'\n';
ll libres = 0;
ll necesarias = 0;
vector<ll> falta(n,mid);
forn(i,0,n){
if(m*a[i]<mid){
necesarias+=(mid-(m*a[i]))/b[i];
if((mid-(m*a[i]))%b[i]!=0) necesarias++;
}else{
ll nl = mid/a[i];
if(mid%a[i]!=0) nl++;
libres+=m-nl;
}
}
if(libres>=necesarias) l=mid+1;
else r=mid-1;
}
cout<<(ll)r<<'\n';
return 0;
}
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