#include <bits/stdc++.h>
using namespace std;
#define scd(t) scanf("%d", &t)
#define sclld(t) scanf("%lld", &t)
#define forr(i, l, r) for(int i=l; i<r; i++)
#define frange(i, l) forr(i, 0, l)
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define all(x) x.begin(), x.end()
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
typedef long long lli;
typedef vector<vi> vvi;
typedef vector<lli> vll;
typedef vector<bool> vb;
typedef set<int> seti;
typedef multiset<int> mseti;
typedef long double ld;
void usaco()
{
freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
// freopen("problem.out", "w", stdout);
}
struct line {
lli m=0, c=1e16;
lli eval(lli x) {
return m*x + c;
}
ld intersect(line y) {
return ld(y.c - c) / ld(m - y.m);
}
};
struct Data {
line ln;
int lc = -1;
int rc = -1;
};
const int maxn = 2e5 + 10;
Data tree[maxn * 4];
int id = 0;
void add(Data data, int x, lli l, lli r) {
if(l > r) return;
lli mid = (l+r)/2;
bool lb = data.ln.eval(l) < tree[x].ln.eval(l);
bool mb = data.ln.eval(mid) < tree[x].ln.eval(mid);
if(mb) {
swap(data.ln, tree[x].ln);
}
if(lb != mb) {
if(tree[x].lc == -1) {
tree[x].lc = ++id;
tree[id] = data;
}
else {
add(data, tree[x].lc, l, mid-1);
}
}
else {
if(tree[x].rc == -1) {
tree[x].rc = ++id;
tree[id] = data;
}
else {
add(data, tree[x].rc, mid+1, r);
}
}
}
lli get(int x, lli l, lli r, lli val) {
lli mid = (l + r)/2;
// printf("%lld ", tree[x].ln.m);
if(val == mid) return tree[x].ln.eval(val);
if(val < mid) {
if(tree[x].lc != -1)
return min(tree[x].ln.eval(val), get(tree[x].lc, l, mid-1, val));
else
return tree[x].ln.eval(val);
}
else {
if(tree[x].rc != -1)
return min(tree[x].ln.eval(val), get(tree[x].rc, mid+1, r, val));
else
return tree[x].ln.eval(val);
}
}
int main() {
// usaco();
int n;
scd(n);
vector<pair<lli, lli>> vec(n);
frange(i, n) {
sclld(vec[i].f);
}
frange(i, n) {
sclld(vec[i].s);
}
lli val = 0;
Data tmp;
tmp.ln.m = -2 * vec[0].f;
tmp.ln.c = vec[0].f * vec[0].f - vec[0].s;
add(tmp, 0, 0, 1e6+10);
forr(i, 1, n) {
// printf("%d ", i);
lli data = get(0, 0, 1e6+10, vec[i].f);
// printf("\n");
val = data + vec[i].f * vec[i].f - vec[i].s;
tmp.ln.m = -2 * vec[i].f;
tmp.ln.c = val + vec[i].f * vec[i].f;
// printf("%lld %lld\n", tmp.ln.m, tmp.ln.c);
add(tmp, 0, 0, 1e6+10);
}
frange(i, n) {
val += vec[i].s;
}
printf("%lld", val);
}
Compilation message
building.cpp: In function 'void usaco()':
building.cpp:28:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
28 | freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
building.cpp: In function 'int main()':
building.cpp:5:21: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
5 | #define scd(t) scanf("%d", &t)
| ~~~~~^~~~~~~~~~
building.cpp:103:5: note: in expansion of macro 'scd'
103 | scd(n);
| ^~~
building.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
6 | #define sclld(t) scanf("%lld", &t)
| ~~~~~^~~~~~~~~~~~
building.cpp:108:9: note: in expansion of macro 'sclld'
108 | sclld(vec[i].f);
| ^~~~~
building.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
6 | #define sclld(t) scanf("%lld", &t)
| ~~~~~^~~~~~~~~~~~
building.cpp:111:9: note: in expansion of macro 'sclld'
111 | sclld(vec[i].s);
| ^~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
2264 KB |
Output is correct |
2 |
Correct |
38 ms |
2124 KB |
Output is correct |
3 |
Correct |
43 ms |
2136 KB |
Output is correct |
4 |
Correct |
36 ms |
1884 KB |
Output is correct |
5 |
Correct |
29 ms |
3556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
46 ms |
2264 KB |
Output is correct |
7 |
Correct |
38 ms |
2124 KB |
Output is correct |
8 |
Correct |
43 ms |
2136 KB |
Output is correct |
9 |
Correct |
36 ms |
1884 KB |
Output is correct |
10 |
Correct |
29 ms |
3556 KB |
Output is correct |
11 |
Correct |
40 ms |
2384 KB |
Output is correct |
12 |
Correct |
40 ms |
2532 KB |
Output is correct |
13 |
Correct |
33 ms |
1884 KB |
Output is correct |
14 |
Correct |
41 ms |
3788 KB |
Output is correct |
15 |
Correct |
31 ms |
5204 KB |
Output is correct |
16 |
Correct |
29 ms |
4368 KB |
Output is correct |
17 |
Correct |
28 ms |
2904 KB |
Output is correct |
18 |
Correct |
22 ms |
2908 KB |
Output is correct |