#include <iostream>
#include <chrono>
#include <vector>
#define maxn 200005
#define maxlog 20
#define INF 1000000010
#define LINF 1000000000000000005
#define endl '\n'
#define pb(x) push_back(x)
#define X first
#define Y second
#define control cout<<"passed"<<endl;
#pragma GCC optimize("O3" , "Ofast" , "unroll-loops" , "fast-math")
#pragma GCC target("avx2")
using namespace std;
std::chrono::high_resolution_clock::time_point startT, currT;
constexpr double TIME_MULT = 1;
double timePassed()
{
using namespace std::chrono;
currT = high_resolution_clock::now();
double time = duration_cast<duration<double>>(currT - startT).count();
return time * TIME_MULT;
}
struct point
{
long long x, y;
point() {};
point(long long _x, long long _y)
{
x = _x;
y = _y;
}
int direction(const point &a, const point &b)
{
long long face = 0;
face += (a.x - x) * (a.y + y);
face += (b.x - a.x) * (b.y + a.y);
face += (x - b.x) * (y + b.y);
return face > 0? 1 : face < 0? -1 : 0;
}
};
long long dist(long long x1, long long x2, long long y)
{
return (x1 - x2) * y;
}
long long n, m;
long long a[maxn], b[maxn];
void read()
{
cin >> n >> m;
for(long long i = 1; i <= n; i++)
cin >> a[i];
for(long long i = 1; i <= m; i++)
cin >> b[i];
}
long long ans = 0;
vector <point> hulla, hullb;
void gen_hull_a()
{
for(long long i = 1; i <= n; i++)
{
point e = {i, a[i]};
while(hulla.size() >= 2 && hulla[hulla.size() - 2].direction(hulla[hulla.size() - 1], e) >= 0)
hulla.pop_back();
hulla.pb(e);
}
}
void gen_hull_b()
{
for(long long i = 1; i <= m; i++)
{
point e = {i, b[i]};
while(hullb.size() >= 2 && hullb[hullb.size() - 2].direction(hullb[hullb.size() - 1], e) >= 0)
hullb.pop_back();
hullb.pb(e);
}
}
long long try_dist(long long x1, long long x2, long long y1, long long y2)
{
return (x1 - x2) * (y1 - y2);
}
void solve()
{
point e, e2;
while(hulla.size() > 1 || hullb.size() > 1)
{
//cout << hulla.size() << " - " << hullb.size() << endl;
//cout << ans << endl;
if(hulla.size() == 1)
{
///control
e = hullb[hullb.size() - 1];
hullb.pop_back();
e2 = hullb[hullb.size() - 1];
ans += dist(e.x, e2.x, hulla[hulla.size() - 1].y);
continue;
}
if(hullb.size() == 1)
{
///cout << "inb" << endl;
e = hulla[hulla.size() - 1];
hulla.pop_back();
e2 = hulla[hulla.size() - 1];
ans += dist(e.x, e2.x, hullb[hullb.size() - 1].y);
continue;
}
long long dist1 = try_dist(hulla[hulla.size() - 1].x, hulla[hulla.size() - 2].x, hullb[hullb.size() - 1].y, hullb[hullb.size() - 2].y);
long long dist2 = try_dist(hullb[hullb.size() - 1].x, hullb[hullb.size() - 2].x, hulla[hulla.size() - 1].y, hulla[hulla.size() - 2].y);
///cout << ":: " << dist1 << " " << dist2 << endl;
if(dist2 > dist1)
{
e = hulla[hulla.size() - 1];
hulla.pop_back();
e2 = hulla[hulla.size() - 1];
ans += dist(e.x, e2.x, hullb[hullb.size() - 1].y);
continue;
}
e = hullb[hullb.size() - 1];
hullb.pop_back();
e2 = hullb[hullb.size() - 1];
ans += dist(e.x, e2.x, hulla[hulla.size() - 1].y);
continue;
}
cout << ans << endl;
}
int main()
{
/**#ifdef ONLINE_JUDGE
freopen("taxi.in", "r", stdin);
freopen("taxi.out", "w", stdout);
#endif*/
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
startT = std::chrono::high_resolution_clock::now();
read();
gen_hull_a();
/**cout << "-----------------------" << endl;
for(point e : hulla)
cout << e.x << " " << e.y << endl;*/
gen_hull_b();
/**cout << "----------------------" << endl;
for(point e : hullb)
cout << e.x << " " << e.y << endl;
cout << "----------------------" << endl;*/
solve();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2648 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2392 KB |
Output is correct |
21 |
Correct |
0 ms |
2392 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
6 ms |
2652 KB |
Output is correct |
5 |
Correct |
5 ms |
2908 KB |
Output is correct |
6 |
Correct |
3 ms |
2392 KB |
Output is correct |
7 |
Correct |
13 ms |
3528 KB |
Output is correct |
8 |
Correct |
12 ms |
3420 KB |
Output is correct |
9 |
Correct |
13 ms |
3584 KB |
Output is correct |
10 |
Correct |
12 ms |
3420 KB |
Output is correct |
11 |
Correct |
12 ms |
3512 KB |
Output is correct |
12 |
Correct |
13 ms |
3420 KB |
Output is correct |
13 |
Correct |
13 ms |
3392 KB |
Output is correct |
14 |
Correct |
11 ms |
3420 KB |
Output is correct |
15 |
Correct |
12 ms |
3792 KB |
Output is correct |
16 |
Correct |
0 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
0 ms |
2648 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2392 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2648 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2392 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2392 KB |
Output is correct |
21 |
Correct |
0 ms |
2392 KB |
Output is correct |
22 |
Correct |
1 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
0 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
0 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2392 KB |
Output is correct |
32 |
Correct |
6 ms |
2652 KB |
Output is correct |
33 |
Correct |
5 ms |
2908 KB |
Output is correct |
34 |
Correct |
3 ms |
2392 KB |
Output is correct |
35 |
Correct |
13 ms |
3528 KB |
Output is correct |
36 |
Correct |
12 ms |
3420 KB |
Output is correct |
37 |
Correct |
13 ms |
3584 KB |
Output is correct |
38 |
Correct |
12 ms |
3420 KB |
Output is correct |
39 |
Correct |
12 ms |
3512 KB |
Output is correct |
40 |
Correct |
13 ms |
3420 KB |
Output is correct |
41 |
Correct |
13 ms |
3392 KB |
Output is correct |
42 |
Correct |
11 ms |
3420 KB |
Output is correct |
43 |
Correct |
12 ms |
3792 KB |
Output is correct |
44 |
Correct |
0 ms |
2396 KB |
Output is correct |
45 |
Correct |
1 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
1 ms |
2396 KB |
Output is correct |
48 |
Correct |
1 ms |
2396 KB |
Output is correct |
49 |
Correct |
1 ms |
2396 KB |
Output is correct |
50 |
Correct |
1 ms |
2396 KB |
Output is correct |
51 |
Correct |
0 ms |
2648 KB |
Output is correct |
52 |
Correct |
1 ms |
2396 KB |
Output is correct |
53 |
Correct |
1 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
2396 KB |
Output is correct |
55 |
Correct |
9 ms |
3164 KB |
Output is correct |
56 |
Correct |
1 ms |
2396 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
3 ms |
2648 KB |
Output is correct |
59 |
Correct |
19 ms |
4716 KB |
Output is correct |
60 |
Correct |
18 ms |
4692 KB |
Output is correct |
61 |
Correct |
20 ms |
4692 KB |
Output is correct |
62 |
Correct |
19 ms |
4676 KB |
Output is correct |
63 |
Correct |
19 ms |
6772 KB |
Output is correct |
64 |
Correct |
19 ms |
4700 KB |
Output is correct |
65 |
Correct |
18 ms |
4700 KB |
Output is correct |
66 |
Correct |
17 ms |
4892 KB |
Output is correct |
67 |
Correct |
18 ms |
4952 KB |
Output is correct |