#include <bits/stdc++.h>
#define FOR(x, a, b) for (int x = a; x <= b; ++x)
#define FOD(x, a, b) for (int x = a; x >= b; --x)
#define REP(x, a, b) for (int x = a; x < b; ++x)
#define DEBUG(X) { cout << #X << " = " << X << endl; }
#define PR(A, n) { cout << #A << " = "; FOR(_, 1, n) cout << A[_] << " "; cout << endl; }
#define PR0(A, n) { cout << #A << " = "; REP(_, 0, n) cout << A[_] << " "; cout << endl; }
using namespace std;
typedef long long LL;
typedef pair <int, int> II;
const int N = 1e5 + 10;
const int A = 1e6;
const LL INFL = LLONG_MAX;
struct Line {
LL a, b;
Line () {
a = 0;
b = INFL;
}
Line (LL a, LL b) : a(a), b(b) {}
LL F(LL x) {
return a * x + b;
}
};
int n;
int a[N], b[N];
LL S[N], f[N];
struct SegmenTree {
#define m ((l + r) >> 1)
Line st[4 * (A + 10)];
void Update(int k, int l, int r, int i, int j, Line d) {
if (l > j || r < i) return;
// DEBUG(k);
// cout << l << " " << r << endl;
if (i <= l && r <= j) {
Line A = st[k], B = d;
if (B.F(l) < A.F(l)) swap(A, B);
if (l == r) st[k] = A;
else {
if (A.F(m) <= B.F(m)) {
st[k] = A;
Update(k << 1 | 1, m + 1, r, i, j, B);
} else {
st[k] = B;
Update(k << 1, l, m, i, j, A);
}
}
return;
}
Update(k << 1, l, m, i, j, d);
Update(k << 1 | 1, m + 1, r, i, j, d);
}
LL Query(int k, int l, int r, LL x) {
if (l > x || r < x) return INFL;
if (l == r) return st[k].F(x);
LL ans = st[k].F(x);
ans = min(ans, Query(k << 1, l, m, x));
ans = min(ans, Query(k << 1 | 1, m + 1, r, x));
return ans;
}
#undef m
} ST;
LL sqr(LL x) {
return x * x;
}
int main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif // LOCAL
scanf("%d", &n);
FOR(i, 1, n) scanf("%d", &a[i]);
FOR(i, 1, n) scanf("%d", &b[i]);
FOR(i, 1, n) S[i] = S[i - 1] + b[i];
f[1] = 0;
FOR(i, 2, n) {
ST.Update(1, 0, A, 0, A, Line(-2LL * a[i - 1], f[i - 1] + sqr(a[i - 1]) - S[i - 1]));
f[i] = ST.Query(1, 0, A, a[i]) + sqr(a[i]) + S[i - 1];
}
printf("%lld", f[n]);
return 0;
}
Compilation message
building.cpp: In function 'int main()':
building.cpp:81:20: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &n);
^
building.cpp:82:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
FOR(i, 1, n) scanf("%d", &a[i]);
^
building.cpp:83:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
FOR(i, 1, n) scanf("%d", &b[i]);
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
66864 KB |
Output is correct |
2 |
Correct |
6 ms |
66864 KB |
Output is correct |
3 |
Correct |
6 ms |
66864 KB |
Output is correct |
4 |
Correct |
3 ms |
66864 KB |
Output is correct |
5 |
Correct |
3 ms |
66864 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
99 ms |
66864 KB |
Output is correct |
2 |
Correct |
106 ms |
66864 KB |
Output is correct |
3 |
Correct |
99 ms |
66864 KB |
Output is correct |
4 |
Correct |
86 ms |
66864 KB |
Output is correct |
5 |
Correct |
73 ms |
66864 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
66864 KB |
Output is correct |
2 |
Correct |
6 ms |
66864 KB |
Output is correct |
3 |
Correct |
6 ms |
66864 KB |
Output is correct |
4 |
Correct |
3 ms |
66864 KB |
Output is correct |
5 |
Correct |
3 ms |
66864 KB |
Output is correct |
6 |
Correct |
99 ms |
66864 KB |
Output is correct |
7 |
Correct |
106 ms |
66864 KB |
Output is correct |
8 |
Correct |
99 ms |
66864 KB |
Output is correct |
9 |
Correct |
86 ms |
66864 KB |
Output is correct |
10 |
Correct |
73 ms |
66864 KB |
Output is correct |
11 |
Correct |
103 ms |
66864 KB |
Output is correct |
12 |
Correct |
113 ms |
66864 KB |
Output is correct |
13 |
Correct |
76 ms |
66864 KB |
Output is correct |
14 |
Correct |
113 ms |
66864 KB |
Output is correct |
15 |
Correct |
93 ms |
66864 KB |
Output is correct |
16 |
Correct |
69 ms |
66864 KB |
Output is correct |
17 |
Correct |
79 ms |
66864 KB |
Output is correct |
18 |
Correct |
69 ms |
66864 KB |
Output is correct |