#include <bits/stdc++.h>
using namespace std;
//#define FILE_IO
typedef long long LL;
class LiChao
{
public:
int N, val[100005];
int mp[1000005];
struct line
{
LL x, y;
line() { x = y = 0; }
line(LL _x, LL _y) { x = _x; y = _y; }
};
line aint[400005];
LL F(LL x, line l)
{
return l.x * x + l.y;
}
void addValue(int x)
{
if(mp[x]) return;
mp[x] = 1;
val[++N] = x;
}
void B(int nod, int st, int dr)
{
if(st + 1 == dr) return;
aint[nod] = line(0LL, (LL)1e18);
int mij = st + (dr - st) / 2;
B(nod * 2, st, mij);
B(nod * 2 + 1, mij, dr);
}
void init()
{
sort(val + 1, val + N + 1);
for(int i = 1; i <= N; i++)
mp[ val[i] ] = i;
B(1, 1, N);
}
void U(int nod, int st, int dr, line l)
{
int mij = st + (dr - st) / 2;
bool mj = F(val[mij], l) < F(val[mij], aint[nod]);
bool lft = F(val[st], l) < F(val[st], aint[nod]);
if(mj) swap(aint[nod], l);
if(st + 1 == dr) return;
if(mj == lft) U(nod * 2 + 1, mij, dr, l);
else U(nod * 2, st, mij, l);
}
void update(LL x, LL y)
{
line l(x, y);
U(1, 1, N, l);
}
LL Q(int nod, int st, int dr, int x)
{
if(st + 1 == dr) return F(val[x], aint[nod]);
LL v = F(val[x], aint[nod]);
int mij = st + (dr - st) / 2;
if(x <= mij) return min(v, Q(nod * 2, st, mij, x));
return min(v, Q(nod * 2 + 1, mij, dr, x));
}
LL get(LL x)
{
return Q(1, 1, N, mp[x]);
}
};
LiChao lichao;
int N;
int h[100005];
LL dp[100005], sum[100005];
int main()
{
#ifdef FILE_IO
freopen("1.in", "r", stdin);
freopen("1.out", "w", stdout);
#endif
scanf("%d", &N);
lichao.addValue(0);
lichao.addValue(1e6);
for(int i = 1; i <= N; i++) scanf("%d", &h[i]), lichao.addValue(h[i]);
for(int i = 1; i <= N; i++) scanf("%lld", &sum[i]), sum[i] += sum[i - 1];
lichao.init();
dp[1] = 0;
for(int i = 1; i <= N; i++)
{
if(i != 1)
dp[i] = lichao.get(h[i]) + 1LL * h[i] * h[i] + sum[i - 1];
lichao.update(-2 * h[i], 1LL * h[i] * h[i] + dp[i] - sum[i]);
}
printf("%lld\n", dp[N]);
return 0;
}
Compilation message
building.cpp: In function 'int main()':
building.cpp:97:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &N);
~~~~~^~~~~~~~~~
building.cpp:100:51: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for(int i = 1; i <= N; i++) scanf("%d", &h[i]), lichao.addValue(h[i]);
~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
building.cpp:101:55: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for(int i = 1; i <= N; i++) scanf("%lld", &sum[i]), sum[i] += sum[i - 1];
~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
6520 KB |
Output is correct |
2 |
Correct |
6 ms |
6764 KB |
Output is correct |
3 |
Correct |
7 ms |
6780 KB |
Output is correct |
4 |
Correct |
8 ms |
6860 KB |
Output is correct |
5 |
Incorrect |
7 ms |
6952 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
65 ms |
9876 KB |
Output is correct |
2 |
Correct |
66 ms |
11064 KB |
Output is correct |
3 |
Correct |
64 ms |
11940 KB |
Output is correct |
4 |
Correct |
69 ms |
13032 KB |
Output is correct |
5 |
Incorrect |
66 ms |
14636 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
6520 KB |
Output is correct |
2 |
Correct |
6 ms |
6764 KB |
Output is correct |
3 |
Correct |
7 ms |
6780 KB |
Output is correct |
4 |
Correct |
8 ms |
6860 KB |
Output is correct |
5 |
Incorrect |
7 ms |
6952 KB |
Output isn't correct |