This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 200005;
int h, w;
int a[MAXN], b[MAXN];
ll ans;
struct node {
ll num, denom;
int id;
bool isrow;
bool operator<(const node &o) const {
if (num * o.denom == o.num * denom) {
return ii{id, isrow} < ii{o.id, o.isrow};
}
return num * o.denom > o.num * denom;
}
};
set<node> st;
set<ii> rst, cst;
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> h >> w;
REP (i, 0, h) {
cin >> a[i];
}
REP (i, 0, w) {
cin >> b[i];
}
REP (i, 0, h) {
rst.insert({i, a[i]});
}
REP (i, 0, w) {
cst.insert({i, b[i]});
}
REP (i, 1, h) {
st.insert({a[i] - a[i - 1], 1, i, 1});
}
REP (i, 1, w) {
st.insert({b[i] - b[i - 1], 1, i, 0});
}
while (h > 1 && w > 1) {
auto [num, denom, id, isrow] = *st.begin(); st.erase(st.begin());
cerr << num << ' ' << denom << ' ' << id << ' ' << isrow << '\n';
cerr << h << ' ' << w << '\n';
if (isrow) {
auto ptr = rst.erase(rst.find({id, a[id]}));
if (id == h - 1) {
assert(ptr == rst.end());
int nh = prev(rst.end()) -> FI + 1;
ans += (ll) b[w - 1] * (h - nh);
h = nh;
} else {
assert(ptr != rst.end() && ptr != rst.begin());
st.erase({ptr -> SE - a[id],
ptr -> FI - id,
ptr -> FI, 1});
st.insert({ptr -> SE - prev(ptr) -> SE,
ptr -> FI - prev(ptr) -> FI,
ptr -> FI, 1});
}
} else {
auto ptr = cst.erase(cst.find({id, b[id]}));
if (id == w - 1) {
assert(ptr == cst.end());
int nw = prev(cst.end()) -> FI + 1;
ans += (ll) a[h - 1] * (w - nw);
w = nw;
} else {
assert(ptr != cst.end() && ptr != cst.begin());
st.erase({ptr -> SE - b[id],
ptr -> FI - id,
ptr -> FI, 0});
st.insert({ptr -> SE - prev(ptr) -> SE,
ptr -> FI - prev(ptr) -> FI,
ptr -> FI, 0});
}
}
}
while (h > 1) {
ans += b[0];
h--;
}
while (w > 1) {
ans += a[0];
w--;
}
cout << ans << '\n';
return 0;
}
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