#include <bits/stdc++.h>
using namespace std;
#define int long long
#define stoi stoll
using ll=long long;
using vi=vector<int>;
using pii=pair<int,int>;
#define ALL(c) begin(c),end(c)
#define RALL(c) rbegin(c),rend(c)
#define ITR(i,b,e) for(auto i=(b);i!=(e);++i)
#define FORE(x,c) for(auto &x:c)
#define REPF(i,a,n) for(int i=a,i##len=(int)(n);i<i##len;++i)
#define REP(i,n) REPF(i,0,n)
#define REPR(i,n) for(int i=(int)(n);i>=0;--i)
#define SZ(c) ((int)c.size())
#define CONTAIN(c,x) (c.find(x)!=end(c))
#define OUTOFRANGE(y,x,h,w) ((y)<0||(x)<0||(y)>=(h)||(x)>=(w))
#define dump(...)
const signed INF_=1001001001; const long long INF=1001001001001001001LL;
const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0};
template<class T> ostream& operator<<(ostream &os,const vector<T> &v) {
    ITR(i,begin(v),end(v))os<<*i<<(i==end(v)-1?"":" ");return os;}
template<class T> istream& operator>>(istream &is,vector<T> &v) {
    ITR(i,begin(v),end(v)) is>>*i;return is;}
template<class T,class U> istream& operator>>(istream &is, pair<T,U> &p) {
    is>>p.first>>p.second;return is;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}return 0;}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}return 0;}
template<class T> using heap=priority_queue<T,vector<T>,greater<T>>;
struct{template<class T> operator T(){T x;cin>>x;return x;}} IN;
struct before_main_function {
    before_main_function() {
        // cin.tie(0);ios::sync_with_stdio(false);
        cout<<setprecision(15)<<fixed;
        // #define endl "\n"
    }
} before_main_function;
//------------------8<------------------------------------8<--------------------

signed main() {
    int n;
    cin >> n;
    vector<int> a(n), b(n);
    cin >> a >> b;
    set<int> d, cd;
    FORE(x, a) d.insert(x);
    FORE(x, b) cd.insert(x);
    if (SZ(d) == SZ(cd)) {
        // fは全単射
        cout << "Yes" << endl;
    } else {
        cout << "No" << endl;
        vector<int> ans1, ans2;
        REP(i, n) {
            if (!CONTAIN(cd, a[i])) {
                ans1.push_back(1);
                ans2.push_back(2);
            } else {
                ans1.push_back(b[i]);
                ans2.push_back(b[i]);
            }
        }
        cout << ans1 << endl;
        cout << ans2 << endl;
    }
    return 0;
}



### Prompt

Your challenge is to write a Cpp solution to the following problem:

problem

AOR Ika made a set $ S = \\ {a_1, ..., a_N \\} $ and a map $ f: S → S $. $ f (a_i) = b_i $. For any element $ x $ in the set $ S $, all maps $ g, h: S → S $ satisfying $ g (f (x)) = h (f (x)) $ are $ g (x). ) = Determine if h (x) $ is satisfied, and if not, configure one counterexample.





Example

Input

5
1 2 3 4 5
3 4 2 5 1


Output

Yes

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define stoi stoll
using ll=long long;
using vi=vector<int>;
using pii=pair<int,int>;
#define ALL(c) begin(c),end(c)
#define RALL(c) rbegin(c),rend(c)
#define ITR(i,b,e) for(auto i=(b);i!=(e);++i)
#define FORE(x,c) for(auto &x:c)
#define REPF(i,a,n) for(int i=a,i##len=(int)(n);i<i##len;++i)
#define REP(i,n) REPF(i,0,n)
#define REPR(i,n) for(int i=(int)(n);i>=0;--i)
#define SZ(c) ((int)c.size())
#define CONTAIN(c,x) (c.find(x)!=end(c))
#define OUTOFRANGE(y,x,h,w) ((y)<0||(x)<0||(y)>=(h)||(x)>=(w))
#define dump(...)
const signed INF_=1001001001; const long long INF=1001001001001001001LL;
const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0};
template<class T> ostream& operator<<(ostream &os,const vector<T> &v) {
    ITR(i,begin(v),end(v))os<<*i<<(i==end(v)-1?"":" ");return os;}
template<class T> istream& operator>>(istream &is,vector<T> &v) {
    ITR(i,begin(v),end(v)) is>>*i;return is;}
template<class T,class U> istream& operator>>(istream &is, pair<T,U> &p) {
    is>>p.first>>p.second;return is;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}return 0;}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}return 0;}
template<class T> using heap=priority_queue<T,vector<T>,greater<T>>;
struct{template<class T> operator T(){T x;cin>>x;return x;}} IN;
struct before_main_function {
    before_main_function() {
        // cin.tie(0);ios::sync_with_stdio(false);
        cout<<setprecision(15)<<fixed;
        // #define endl "\n"
    }
} before_main_function;
//------------------8<------------------------------------8<--------------------

signed main() {
    int n;
    cin >> n;
    vector<int> a(n), b(n);
    cin >> a >> b;
    set<int> d, cd;
    FORE(x, a) d.insert(x);
    FORE(x, b) cd.insert(x);
    if (SZ(d) == SZ(cd)) {
        // fは全単射
        cout << "Yes" << endl;
    } else {
        cout << "No" << endl;
        vector<int> ans1, ans2;
        REP(i, n) {
            if (!CONTAIN(cd, a[i])) {
                ans1.push_back(1);
                ans2.push_back(2);
            } else {
                ans1.push_back(b[i]);
                ans2.push_back(b[i]);
            }
        }
        cout << ans1 << endl;
        cout << ans2 << endl;
    }
    return 0;
}



```