// compile: make data
// run: ./data < data.in
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#ifdef LOCAL
#include <debug/codeforces.h>
#define debug(x...) _debug_print(#x, x);
#define Debug(x...) _debug_print_format(#x, x);
std::ifstream terminal("/dev/tty");
#define PP cerr<<"\033[1;30mpause...\e[0m",terminal.ignore();
#else
#define debug(x...)
#define Debug(x...)
#define PP
#endif
template<typename...Args> void print_(Args...args){((cout<<args<<" "),...)<<endl;}
#define rep(i,a,b) for(int i=(a);i<(int)(b);++i)
#define sz(v) ((int)(v).size())
#define print(...) print_(__VA_ARGS__);
#define FIND(a, x) ((find(a.begin(),a.end(),(x))!=a.end())?1:0)
#define cmin(x,...) x=min({(x),__VA_ARGS__})
#define cmax(x,...) x=max({(x),__VA_ARGS__})
#define INTMAX (int)(9223372036854775807)
#define INF (int)(1152921504606846976)
#define NaN (int)(0x8b88e1d0595d51d1)
#define double long double
#define int long long
#define uint unsigned long long
#define MAXN 200010
struct lichao {
struct line {
int k, b;
line(): k(NaN), b(NaN) {}
line(int k_, int b_): k(k_), b(b_) {}
int operator()(int x) {return k*x + b; }
int exist() {return k != NaN; }
void clear() {k = NaN, b = NaN; }
};
struct node {
int l, r;
int val;
node *ch[2];
line tag;
};
vector<node> pool;
int total = 0;
node *root;
node* newnode(int l, int r) {
node *x = &pool[total++];
x->l = l, x->r = r, x->val = INF;
return x;
}
lichao(int L, int R) {
pool.resize((R-L+1) << 1);
function<void(node*)> build = [&](node *x) -> void {
if (x->l == x->r) return;
int mid = (x->l+x->r) >> 1;
build(x->ch[0] = newnode(x->l, mid));
build(x->ch[1] = newnode(mid+1, x->r));
};
build(root = newnode(L, R));
}
void update(node *x, line l) {
if (!x) return;
if (!x->tag.exist()) {
x->tag = l;
return;
}
int mid = (x->l+x->r) >> 1;
cmin(x->val, x->tag(mid));
if (l(x->l) <= x->tag(x->l) && l(x->r) <= x->tag(x->r)) x->tag = l;
else if (l(x->l) >= x->tag(x->l) && l(x->r) >= x->tag(x->r)) return;
else update(x->ch[0], l), update(x->ch[1], l);
}
void insert(int l, int r, int k, int b) {
function<void(node*)> dfs = [&](node *x) -> void {
if (x->l > r || x->r < l) return;
if (x->l >= l && x->r <= r) {
update(x, line(k, b));
return;
}
};
dfs(root);
}
int query(int p) {
int res = INF;
for (node *x = root; x; x = x->ch[p > ((x->l+x->r) >> 1)]) {
if (x->tag.exist()) cmin(res, x->tag(p));
}
return res;
}
void graphviz_dump(string filename = "graph.dot") {
FILE *f = fopen(filename.c_str(), "w");
fprintf(f, "digraph {\n");
rep(i, 0, total) {
node *x = &pool[i];
fprintf(f, " %lld;\n");
}
rep(i, 0, total) {
node *x = &pool[i];
if (x->ch[0]) fprintf(f, " %lld -> %ld[arrowhead=\"none\"];\n", i, x->ch[0] - &pool[0]);
if (x->ch[1]) fprintf(f, " %lld -> %ld[arrowhead=\"none\"];\n", i, x->ch[1] - &pool[0]);
}
fprintf(f, "}\n");
}
};
int32_t main() {
ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
int n, F; cin >> n >> F;
vector<int> s(n), f(n);
rep(i, 0, n) cin >> s[i];
rep(i, 0, n) cin >> f[i];
int N = s.back();
lichao t(1, N);
t.insert(1, N, F, 0);
rep(i, 0, n-1) {
int best = t.query(s[i]);
t.insert(1, N, f[i], best);
}
cout << t.query(N) << endl;
return 0;
}
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