This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
#define sz(x) int((x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
using namespace std;
#define int ll
using ll = long long;
using ld = long double; // or double, if TL is tight
using str = string;
using ii = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;
const int INF = 1e9;
struct RMQmax {
int n;
vector<vi> M;
RMQmax(vi V) {
n = V.size();
M.push_back(V);
for(int k = 1; (1 << k) <= n; ++k) {
M.push_back(M.back());
for(int i = 0; i < n; ++i)
if(i + (1 << (k - 1)) < n)
M[k][i] = max(M[k][i], M[k - 1][i + (1 << (k - 1))]);
}
}
int query(int p, int k) {
return M[k][p];
}
};
struct RMQmin {
int n;
vector<vi> M;
RMQmin(vi V) {
n = V.size();
M.push_back(V);
for(int k = 1; (1 << k) <= n; ++k) {
M.push_back(M.back());
for(int i = 0; i < n; ++i)
if(i + (1 << (k - 1)) < n)
M[k][i] = min(M[k][i], M[k - 1][i + (1 << (k - 1))]);
}
}
int query(int p, int k) {
return M[k][p];
}
};
signed main() {
cin.tie(0);
ios_base::sync_with_stdio(0);
///TODO long long
int n;
cin >> n;
vi V(n), Dif1(n), Dif2(n), DP(n, 0);
for(int i = 0; i < n; ++i)
cin >> V[i];
for(int i = 0; i + 1 < n; ++i) Dif1[i] = 2 * V[i] - V[i + 1];
Dif1[n - 1] = INF;
RMQmin QD1(Dif1);
for(int i = 1; i < n; ++i) Dif2[i] = 2 * V[i] - V[i - 1];
Dif2[0] = INF;
RMQmax QD2(Dif2);
for(int i = 0; i < n; ++i) {
DP[i] = 0;
int st = i, dr = i, dir = 0;
///dir: 0 pt st, 1 pt dr
if(i == 0 || i == n - 1) {
dir = !i;
} else {
if(V[i] - V[i - 1] <= V[i + 1] - V[i]) dir = 0;
else dir = 1;
}
while(st != 0 || dr != n - 1) {
if((!dir && st == 0) || (dir && dr == n - 1)) {
DP[i] += V[dr] - V[st];
dir ^= 1;
}
if(dir) {
if(st == 0) {
DP[i] += V.back() - V[dr];
dr = n - 1;
break;
}
int dr0 = dr;
for(int k = (int)QD1.M.size() - 1; k >= 0; --k) {
if(dr + (1 << k) >= n) continue;
if(QD1.query(dr, k) > V[st - 1]) {
dr += (1 << k);
}
}
DP[i] += V[dr] - V[dr0];
dir ^= 1;
DP[i] += V[dr] - V[st];
} else {
if(dr == n - 1) {
DP[i] += V[st] - V[0];
st = 0;
break;
}
int st0 = st;
for(int k = (int)QD2.M.size() - 1; k >= 0; --k) {
if(st - (1 << k) < 0) continue;
if(QD2.query(st - (1 << k) + 1, k) <= V[dr + 1])
st -= (1 << k);
}
DP[i] += V[st0] - V[st];
dir ^= 1;
DP[i] += V[dr] - V[st];
}
}
}
int q;
cin >> q;
for(int i = 0; i < q; ++i) {
int p;
cin >> p;
int st = 0, dr = n - 1, mij;
while(st < dr) {
mij = (st + dr + 1) / 2;
if(V[mij] > p) dr = mij - 1;
else st = mij;
}
int id = 0, cre = 2e9;
for(int j = max(st - 1, 0ll); j <= min(n - 1, st + 1); ++j)
if(abs(V[j] - p) < cre) {
cre = abs(V[j] - p);
id = j;
}
cout << cre + DP[id] << "\n";
}
return 0;
}
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