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>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define chkmin(a, b) a = min(a, b)
#define chkmax(a, b) a = max(a, b)
using namespace std;
typedef long long ll;
typedef vector<ll> vi;
typedef vector<vi> vvi;
typedef pair<ll, ll> pii;
typedef vector<pii> vii;
const ll infinity = 1e18;
const int MAX_N = 1e6 + 5;
ll ans = infinity;
ll a[MAX_N];
ll distl[MAX_N], distr[MAX_N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
ll sx, sy, ex, ey;
cin >> n >> sx >> sy >> ex >> ey;
sx--, sy--, ex--, ey--;
for (int i = 0; i < n; i++) cin >> a[i];
for (ll i = sx, j = sy, d = 0; i >= 0; i--, d++) {
chkmin(j, a[i]);
if (i == ex) {
chkmin(ans, d + abs(ey - j));
}
distl[i] = d + j;
distr[i] = d + a[i] - j;
}
for (ll i = sx, j = sy, d = 0; i < n; i++, d++) {
chkmin(j, a[i]);
if (i == ex) {
chkmin(ans, d + abs(ey - j));
}
distl[i] = d + j;
distr[i] = d + a[i] - j;
}
for (int times = 0; times < 3; times++) {
deque<pii> stk = {{0, distl[0]}, {a[0], distr[0]}};
if (!a[0]) stk.pop_back();
ll offset = 0;
for (int i = 1; i < n; i++) {
offset++;
ll x = min(stk[0].y, stk.back().y);
ll nx = infinity;
while (stk.back().x > a[i]) {
chkmin(nx, stk.back().y);
stk.pop_back();
}
chkmin(nx, stk.back().y + a[i] - stk.back().x);
chkmin(nx, distr[i] - offset);
while (!stk.empty() && stk.back().y >= nx + a[i] - stk.back().x) stk.pop_back();
stk.push_back({a[i], nx});
if (!stk[0].x) {
stk.pop_front();
}
chkmin(x, distl[i] - offset);
while (!stk.empty() && stk[0].y >= x + stk[0].x) stk.pop_front();
stk.push_front({0, x});
if (stk.back().x != a[i]) {
stk.push_back({a[i], stk.back().y + a[i] - stk.back().x});
}
chkmin(distl[i], stk[0].y + offset);
chkmin(distr[i], stk.back().y + offset);
if (i == ex) {
auto it = lower_bound(all(stk), pii(ey, 0));
chkmin(ans, it->y + offset + it->x - ey);
it--;
chkmin(ans, it->y + offset + ey - it->x);
}
}
stk.clear();
stk = {{0, distl[n - 1]}};
offset = 0;
for (int i = n - 2; i >= 0; i--) {
offset++;
ll x = stk[0].y;
ll nx = stk[0].y;
while (stk.back().x > a[i]) {
chkmin(nx, stk.back().y);
stk.pop_back();
}
chkmin(nx, stk.back().y + a[i] - stk.back().x);
chkmin(nx, distr[i] - offset);
while (!stk.empty() && stk.back().y >= nx + a[i] - stk.back().x) stk.pop_back();
stk.push_back({a[i], nx});
if (!stk[0].x) {
stk.pop_front();
}
chkmin(x, distl[i] - offset);
while (!stk.empty() && stk[0].y >= x + stk[0].x) stk.pop_front();
stk.push_front({0, x});
if (stk.back().x != a[i]) {
stk.push_back({a[i], stk.back().y + a[i] - stk.back().x});
}
chkmin(distl[i], stk[0].y + offset);
chkmin(distr[i], stk.back().y + offset);
if (i == ex) {
auto it = lower_bound(all(stk), pii(ey, 0));
chkmin(ans, it->y + offset + it->x - ey);
it--;
chkmin(ans, it->y + offset + ey - it->x);
}
}
}
cout << ans << '\n';
}
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