#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define name "vrtic"
#define fi first
#define se second
// #define endl '\n'
#define setmin(x, y) x = min((x), (y))
#define setmax(x, y) x = max((x), (y))
#define sqr(x) ((x) * (x))
mt19937 hdp(chrono::high_resolution_clock::now().time_since_epoch().count());
int rand(int l, int r){return l + ((hdp() % (r - l + 1)) + r - l + 1) % (r - l + 1);}
const int NM = 150 + 5;
vector<int> nen;
int n, mx, c[NM], a[NM], id[NM], jump[NM], JUMP[NM], p[NM], ans[NM];
bool b[NM];
map<vector<int>, bool> mp;
vector<vector<int>> v[NM];
vector<pair<int, int>> cr;
vector<int> get(int l, int r)
{
    vector<bool> vis(n + 1);
    vector<int> res;
    int cr = l;
    vis[l] = 1;
    res.push_back(l);
    while (cr != r)
    {
        cr = min(r, jump[cr]);
        res.push_back(cr);
        vis[cr] = 1;
    }
    for (int i = r; i >= l; i--)
        if (!vis[i])
            res.push_back(i);
    for (auto& t : res)
        t = id[t];
    return res;
}
void trace(int l, vector<int> C)
{
    if (l == n + 1)
    {
        for (auto& t : cr)
        {
            vector<int> T = get(t.fi, t.fi + t.se - 1);
            for (int i = 0; i < t.se; i++)
                ans[v[t.se].back()[i]] = T[i];
            v[t.se].pop_back();
        }
        for (int i = 1; i <= n; i++)
            cout << ans[i] << ' ';
        exit(0);
    }
    for (int i = 0; i < (int)C.size() && nen[i] <= JUMP[l] - l + 1; i++)
        if (C[i])
        {
            C[i]--;
            cr.push_back({l, nen[i]});
            if (l + nen[i] == n + 1 || mp[C])
                trace(l + nen[i], C);
            cr.pop_back();
            C[i]++;
        }
}
bool bt(int l, vector<int> C)
{
    if (l == n + 1)
        return 1;
    if (mp.count(C))
        return mp[C];
    for (int i = 0; i < (int)C.size() && nen[i] <= JUMP[l] - l + 1; i++)
        if (C[i])
        {
            C[i]--;
            if (bt(l + nen[i], C))
            {
                C[i]++;
                return mp[C] = 1;
            }
            C[i]++;
        }
    return mp[C] = 0;
}
bool calc(int x, bool tr)
{
    for (int i = n; i >= 1; i--)
        jump[i] = upper_bound(a + 1, a + 1 + n, a[i] + x) - a - 1;
    for (int i = n; i >= 1; i--)
    {
        if (jump[i] == i)
            JUMP[i] = i;
        else if (jump[jump[i] - 1] <= jump[i])
            JUMP[i] = jump[i];
        else
            JUMP[i] = JUMP[jump[i]];
    }
    vector<int> C(nen.size());
    for (int i = 0; i < nen.size(); i++)
        C[i] = c[i];
    mp.clear();
    if (!tr)
        return bt(1, C);
    bt(1, C);
    trace(1, C);
    return 0;
}
void solve()
{
    cin >> n >> n;
    for (int i = 1; i <= n; i++)
        cin >> p[i];
    for (int i = 1; i <= n; i++)
        cin >> a[i];
    iota(id + 1, id + 1 + n, 1);
    sort(id + 1, id + 1 + n, [&](const int& x, const int& y) {return a[x] < a[y];});
    sort(a + 1, a + 1 + n);
    for (int i = 1; i <= n; i++)
        if (!b[i])
        {
            int cnt = 1;
            b[i] = 1;
            int t = p[i];
            while (t != i)
            {
                cnt++;
                b[t] = 1;
                t = p[t];
            }
            c[cnt]++;
            nen.push_back(cnt);
            v[cnt].emplace_back();
            v[cnt].back().push_back(i);
            t = p[i];
            while (t != i)
            {
                v[cnt].back().push_back(t);
                t = p[t];
            }
        }
    sort(nen.begin(), nen.end());
    nen.erase(unique(nen.begin(), nen.end()), nen.end());
    for (int i = 1; i <= n; i++)
        if (c[i])
            c[lower_bound(nen.begin(), nen.end(), i) - nen.begin()] = c[i];
    int l = -1, r = 1e9;
    while (l < r - 1)
    {
        int m = l + r >> 1;
        (calc(m, 0) ? r : l) = m;
    }
    cout << r << endl;
    calc(r, 1);
}
signed main()
{
    if (fopen("in.txt", "r")) 
    {
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
    }
    else if (fopen(name".inp", "r"))
    {
        freopen(name".inp", "r", stdin);
        freopen(name".out", "w", stdout);
    }
    ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
    int tc = 1; 
    while (tc--)
        solve();
}
컴파일 시 표준 에러 (stderr) 메시지
vrtic.cpp: In function 'int main()':
vrtic.cpp:169:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  169 |         freopen("in.txt", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp:170:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  170 |         freopen("out.txt", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp:174:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  174 |         freopen(name".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp:175:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  175 |         freopen(name".out", "w", stdout);
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