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 "books.h"
#ifdef NYAOWO
#include "grader.cpp"
#endif
#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;
const int MAXN = 1'000'000;
const int INF = 1e18;
LL minimum_walk(vector<i32> p, i32 s) {
    assert(s >= 0);
    int n = sz(p);
    int ans = 0;
    vector<int> cid(n, -1);
    vector<pii> range;
    For(i, 0, n - 1) if(p[i] != i && cid[i] == -1) {
        int cur = i;
        int l = n + 1;
        int r = -1;
        do {
            l = min(l, cur);
            r = max(r, cur);
            ans += abs(p[cur] - cur);
            cur = p[cur];
            cid[cur] = sz(range);
        } while(cur != i);
        range.eb(l, r);
    }
    if(sz(range) == 0) return 0;
    int L = 0, R = n - 1;
    while(cid[L] == -1) L++;
    while(cid[R] == -1) R--;
    L = min(L, (int)s);
    R = max(R, (int)s);
    cerr << L << " " << R << "\n";
    vector<int> nxtl(n), nxtr(n);
    nxtl[0] = -INF;
    For(i, 1, n - 1) {
        if(cid[i - 1] != -1) nxtl[i] = i - 1;
        else nxtl[i] = nxtl[i - 1];
    }
    nxtr[n - 1] = INF;
    Forr(i, n - 2, 0) {
        if(cid[i + 1] != -1) nxtr[i] = i + 1;
        else nxtr[i] = nxtr[i + 1];
    }
    int l = s, r = s;
    queue<int> que;
    if(cid[s] != -1) que.emplace(cid[s]);
    while(l > L && r < R) {
        while(sz(que)) {
            int id = que.front(); que.pop();
            pii rg = range[id];
            while(l > rg.F) {
                l--;
                if(cid[l] != -1) que.emplace(cid[l]);
            }
            while(r < rg.S) {
                r++;
                if(cid[r] != -1) que.emplace(cid[r]);
            }
        }
        if(l > L || r < R) {
            int l2, r2;
            int cl = 0;
            l2 = l; r2 = r;
            if(l2 == L) cl = INF;
            while(r2 == r && l2 != L) {
                cl += (l2 - nxtl[l2]) * 2;
                l2 = nxtl[l2];
                int l3 = range[cid[l2]].F;
                int r3 = range[cid[l2]].S;
                while(l2 > l3 || r2 < r3) {
                    if(r2 < r3) {
                        l2 = l3; r2 = r3;
                        break;
                    }
                    l2--;
                    if(cid[l2] != -1) {
                        l3 = min(l3, range[cid[l2]].F);
                        r3 = max(r3, range[cid[l2]].S);
                    }
                }
            }
            int cr = 0;
            l2 = l; r2 = r;
            if(r2 == R) cr = INF;
            while(l2 == l && r2 != R) {
                cr += (nxtr[r2] - r2) * 2;
                r2 = nxtr[r2];
                int l3 = range[cid[r2]].F;
                int r3 = range[cid[r2]].S;
                while(l2 > l3 || r2 < r3) {
                    if(l2 > l3) {
                        l2 = l3; r2 = r3;
                        break;
                    }
                    r2++;
                    if(cid[r2] != -1) {
                        l3 = min(l3, range[cid[r2]].F);
                        r3 = max(r3, range[cid[r2]].S);
                    }
                }
            }
            ans += min(cl, cr);
            l = l2; r = r2;
        }
    }
    {
        int mx = r;
        For(i, r, R) if(cid[i] != -1) {
            ans += 2 * max(0ll, i - mx);
            mx = max(mx, range[cid[i]].S);
        }
    }
    {
        int mn = l;
        Forr(i, l, L) if(cid[i] != -1) {
            ans += 2 * max(0ll, mn - i);
            mn = min(mn, range[cid[i]].F);
        }
    }
    return ans;
}
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