#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define fast ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#define MOD 1000000007
#define INF 1e18
#define fi first
#define se second
#define endl "\n"
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define FORD(i,a,b) for(int i=a;i>=b;i--)
#define sz(a) ((int)(a).size())
#define pi 3.14159265359
#define TASKNAME "bbridge"
template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; }
template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; }
using namespace std;
typedef pair<int,int> ii;
typedef pair<int,ii> iii;
typedef vector<int> vi;
const int MAXN = 3e5 + 9;
int h[MAXN] , w[MAXN];
int prew[MAXN];
int n;
namespace subtask1{
bool checkSubtask1(){
return n <= 3000;
}
int sqr(int x){
return x * x;
}
int dp[MAXN];
void solveSubtask1(){
memset(dp, 0x3f, sizeof(dp));
dp[1] = 0;
for(int i = 2; i <= n; i++){
for(int j = i - 1; j >= 1; j--){
minimize(dp[i], dp[j] + sqr(abs(h[i] - h[j])) + (prew[i - 1] - prew[j]) );
}
}
cout << dp[n] << endl;
}
}
namespace subtask2{
bool checkSubtask2(){
return true;
}
struct line{
int a, b;
int val(int x){
return a * x + b;
}
line(int a = 0, int b = 0): a(a), b(b) {}
bool operator == (const line &other){
return !(a == other.a and b == other.b);
}
};
const int MAXH = 1e6 + 9;
line lichao[MAXH << 2];
int dp[MAXN];
void reset(){
for(int i = 0; i < 4 * MAXH; i++){
lichao[i] = {0, 1000000000};
}
}
void update(int node, int l, int r, line cur){
int mid = (l + r) >> 1;
bool f1 = cur.val(l) <= lichao[node].val(l);
bool f2 = cur.val(mid) <= lichao[node].val(mid);
if (f2) swap(lichao[node], cur);
if (r == l + 1) return;
else if (f1 != f2) update(node << 1, l, mid, cur);
else {
update(node << 1 | 1, mid, r, cur);
}
}
int get(int node, int l, int r, int pos){
if (l == r - 1){
return lichao[node].val(pos);
}
int mid = (l + r) >> 1;
if (pos < mid) return min(lichao[node].val(pos), get(node << 1, l, mid, pos));
else return min(lichao[node].val(pos), get(node << 1 | 1, mid + 1, r, pos));
}
void solveSubtask2(){
reset();
dp[1] = 0;
update(1, 0, 1e6, line(-2 * h[1], dp[1] + h[1] * h[1] - prew[1]));
for(int i = 1; i <= n; i++){
dp[i] = get(1, 0, 1e6, h[i]) + prew[i - 1] + h[i] * h[i];
update(1, 0, 1e6, line(-2 * h[i], dp[i] + h[i] * h[i] - prew[i]));
// cout << dp[i] << ' ';
}
cout << dp[n] << endl;
}
}
main()
{
fast;
if (fopen(TASKNAME".inp","r")){
freopen(TASKNAME".inp","r",stdin);
freopen(TASKNAME".out","w",stdout);
}
cin >> n;
for(int i = 1; i <= n; i++){
cin >> h[i];
}
for(int i = 1; i <= n; i++){
cin >> w[i];
prew[i] = prew[i - 1] + w[i];
}
// if (subtask1::checkSubtask1()) return subtask1::solveSubtask1(), 0;
if (subtask2::checkSubtask2()) return subtask2::solveSubtask2(), 0;
}
/**
Warning:
- MLE / TLE?
- Gioi han mang?
- Gia tri max phai luon gan cho -INF
- long long co can thiet khong?
- tran mang.
- code can than hon
**/
Compilation message
building.cpp:111:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
111 | main()
| ^~~~
building.cpp: In function 'int main()':
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(TASKNAME".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
building.cpp:116:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
116 | freopen(TASKNAME".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
39 ms |
69968 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
63 ms |
131072 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
39 ms |
69968 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |