#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
read the solution a long time ago, remember the key ideas
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct sparse_table {
/*============================*/
T merge(T a, T b) {
return max(a,b);
}
/*============================*/
vector<vector<T>> table;
vector<int> bin_log;
int LOG = 0;
sparse_table() {
}
sparse_table(vector<T> &a, int n) {
while ((1 << LOG) <= n) LOG++;
table = vector<vector<T>>(n, vector<T>(LOG));
bin_log = vector<int>(n + 1);
rep(i, n) table[i][0] = a[i];
rep1(j, LOG - 1) {
rep(i, n) {
int jump = 1 << (j - 1);
if (i + jump >= n) {
break;
}
table[i][j] = merge(table[i][j - 1], table[i + jump][j - 1]);
}
}
bin_log[1] = 0;
for (int i = 2; i <= n; ++i) {
bin_log[i] = bin_log[i / 2] + 1;
}
}
T query(int l, int r) {
int len = r - l + 1;
int k = bin_log[len];
T val1 = table[l][k];
T val2 = table[r - (1 << k) + 1][k];
return merge(val1, val2);
}
};
void solve(int test_case)
{
ll n; cin >> n;
vector<ll> a(n);
rep(i,n) cin >> a[i];
vector<ll> val1(n);
rep(i,n-1) val1[i] = 2*a[i+1]-a[i];
vector<ll> val2(n);
rep1(i,n-1) val2[i] = a[i]-2*a[i-1];
sparse_table<ll> st1(val1,n), st2(val2,n);
vector<ll> b(n);
rep(i,n){
ll l = i, r = i, pos = i;
ll cost = 0;
while(!(l == 0 and r == n-1)){
ll left_cost = inf2, right_cost = inf2;
if(l-1 >= 0){
left_cost = a[pos]-a[l-1];
}
if(r+1 < n){
right_cost = a[r+1]-a[pos];
}
if(left_cost <= right_cost){
cost += left_cost;
ll lo = 0, hi = l-2;
ll best = l-1;
ll x = inf2;
if(r+1 < n) x = a[r+1];
while(lo <= hi){
ll mid = (lo+hi) >> 1;
if(st1.query(mid,l-2) <= x){
best = mid;
hi = mid-1;
}
else{
lo = mid+1;
}
}
cost += a[l-1]-a[best];
pos = best;
l = best;
}
else{
cost += right_cost;
ll lo = r+2, hi = n-1;
ll best = r+1;
ll x = inf2;
if(l-1 >= 0) x = a[l-1];
while(lo <= hi){
ll mid = (lo+hi) >> 1;
if(st1.query(r+2,mid) < -x){
best = mid;
lo = mid+1;
}
else{
hi = mid-1;
}
}
cost += a[best]-a[r+1];
pos = best;
r = pos;
}
}
b[i] = cost;
}
ll q; cin >> q;
while(q--){
ll x; cin >> x;
ll p = lower_bound(all(a),x)-a.begin();
ll right_cost = inf2, left_cost = inf2;
if(p < n){
right_cost = abs(a[p]-x);
}
if(p-1 >= 0){
left_cost = abs(a[p-1]-x);
}
ll ans = min(left_cost,right_cost);
if(left_cost <= right_cost){
ans += b[p-1];
}
else{
ans += b[p];
}
cout << ans << endl;
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
47 ms |
860 KB |
Output is correct |
3 |
Correct |
36 ms |
856 KB |
Output is correct |
4 |
Correct |
43 ms |
856 KB |
Output is correct |
5 |
Correct |
36 ms |
856 KB |
Output is correct |
6 |
Correct |
42 ms |
1004 KB |
Output is correct |
7 |
Correct |
37 ms |
860 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
456 KB |
Output is correct |
11 |
Correct |
0 ms |
352 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
42 ms |
860 KB |
Output is correct |
15 |
Correct |
38 ms |
856 KB |
Output is correct |
16 |
Correct |
36 ms |
856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
47 ms |
860 KB |
Output is correct |
3 |
Correct |
36 ms |
856 KB |
Output is correct |
4 |
Correct |
43 ms |
856 KB |
Output is correct |
5 |
Correct |
36 ms |
856 KB |
Output is correct |
6 |
Correct |
42 ms |
1004 KB |
Output is correct |
7 |
Correct |
37 ms |
860 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
456 KB |
Output is correct |
11 |
Correct |
0 ms |
352 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
42 ms |
860 KB |
Output is correct |
15 |
Correct |
38 ms |
856 KB |
Output is correct |
16 |
Correct |
36 ms |
856 KB |
Output is correct |
17 |
Execution timed out |
3065 ms |
82016 KB |
Time limit exceeded |
18 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Execution timed out |
3101 ms |
81480 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
47 ms |
860 KB |
Output is correct |
3 |
Correct |
36 ms |
856 KB |
Output is correct |
4 |
Correct |
43 ms |
856 KB |
Output is correct |
5 |
Correct |
36 ms |
856 KB |
Output is correct |
6 |
Correct |
42 ms |
1004 KB |
Output is correct |
7 |
Correct |
37 ms |
860 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
456 KB |
Output is correct |
11 |
Correct |
0 ms |
352 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
42 ms |
860 KB |
Output is correct |
15 |
Correct |
38 ms |
856 KB |
Output is correct |
16 |
Correct |
36 ms |
856 KB |
Output is correct |
17 |
Execution timed out |
3065 ms |
82016 KB |
Time limit exceeded |
18 |
Halted |
0 ms |
0 KB |
- |