#include <bits/stdc++.h>
#define fo(i, d, c) for (int i = d; i <= c; i++)
#define fod(i, c, d) for (int i = c; i >= d; i--)
#define maxn 1000010
#define N 1010
#define fi first
#define se second
#define pb emplace_back
#define en cout << "\n";
#define int long long
#define inf 1000000000
#define pii pair<int, int>
#define vii vector<pii>
#define lb(x) x & -x
#define bit(i, j) ((i >> j) & 1)
#define offbit(i, j) (i ^ (1 << j))
#define onbit(i, j) (i | (1 << j))
#define vi vector<int>
template <typename T1, typename T2>
bool minimize(T1 &a, T2 b)
{
if (a > b)
{
a = b;
return true;
}
return false;
}
template <typename T1, typename T2>
bool maximize(T1 &a, T2 b)
{
if (a < b)
{
a = b;
return true;
}
return false;
}
using namespace std;
#include <bits/stdc++.h>
#define fo(i, d, c) for (int i = d; i <= c; i++)
#define fod(i, c, d) for (int i = c; i >= d; i--)
#define maxn 1000010
#define N 1010
#define fi first
#define se second
#define pb emplace_back
#define en cout << "\n";
#define int long long
#define inf 1000000000
#define pii pair<int, int>
#define vii vector<pii>
#define lb(x) x & -x
#define bit(i, j) ((i >> j) & 1)
#define offbit(i, j) (i ^ (1 << j))
#define onbit(i, j) (i | (1 << j))
#define vi vector<int>
using namespace std;
struct CHT
{
pii line[maxn];
int p[maxn];
int s[maxn];
int top;
int eval(pii a, int x)
{
return a.fi * x + a.se;
}
bool bad(pii a, pii b, pii c)
{
return (double)(b.se - a.se) / (a.fi - b.fi) <= (double)(c.se - a.se) / (a.fi - c.fi);
}
int get(int coor)
{
int l = 0, r = top - 1, ans = eval(line[l], coor);
while (l < r)
{
int mid = (l + r) >> 1;
int x = eval(line[mid], coor);
int y = eval(line[mid + 1], coor);
if (x > y)
l = mid + 1;
else
r = mid;
ans = min(ans, min(x, y));
}
return ans;
}
void add(pii newline)
{
int l = 1, r = top - 1, k = top;
while (l <= r)
{
int mid = (l + r) >> 1;
if (bad(line[mid - 1], line[mid], newline))
k = mid, r = mid - 1;
else
l = mid + 1;
}
line[k] = newline;
top = k + 1;
}
} cht;
int n;
int h[maxn];
int w[maxn];
int pre[maxn];
int dp[maxn];
main()
{
#define name "TASK"
if (fopen(name ".inp", "r"))
{
freopen(name ".inp", "r", stdin);
freopen(name ".out", "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
fo(i, 1, n) cin >> h[i];
fo(i, 1, n)
{
cin >> w[i];
pre[i] = pre[i - 1] + w[i];
}
// fo(i,1,n) cout << pre[i] << ' ';en;
cht.add({-2 * h[1], h[1] * h[1] + w[1]});
fo(i, 2, n)
{
dp[i] = cht.get(h[i]) + pre[i - 1] + h[i] * h[i];
cht.add({-2 * h[i] ,h[i] * h[i] - pre[i] + dp[i]});
}
// fo(i,1,n) cout << dp[i] << ' ' ;en;
cout << dp[n];
}
Compilation message
building.cpp:109:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
109 | main()
| ^~~~
building.cpp: In function 'int main()':
building.cpp:114:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
114 | freopen(name ".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
building.cpp:115:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
115 | freopen(name ".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
20980 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
19 ms |
26668 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
20980 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |