This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// incorrect/felix-radewoosh-plus-jumps.cpp
#include "hieroglyphs.h"
#include<bits/stdc++.h>
using namespace std;
using vi = vector<int>;
using vvi = vector<vi>;
using ii = pair<int, int>;
const int ALPHABET_SIZE = 200'001;
bool verify_jump(const vi& a, const vi& b, const vi& c) {
    if (c == vi({-1})) return false;
    if (c == vi()) return true; 
    int n = a.size();
    int m = b.size();
    int l = c.size();
    vi occ_a(ALPHABET_SIZE, 0);
    vi occ_b(ALPHABET_SIZE, 0);
    vi occ_c(ALPHABET_SIZE, 0);
    vvi pos_a(ALPHABET_SIZE);
    vvi pos_b(ALPHABET_SIZE);
    vvi pos_c(ALPHABET_SIZE);
    for (int i=0; i < n; ++i) {
        occ_a[a[i]]++;
        pos_a[a[i]].push_back(i);
    }
    for (int i=0; i < m; ++i) {
        occ_b[b[i]]++;
        pos_b[b[i]].push_back(i);
    }
    for (int i=0; i < l; ++i) {
        occ_c[c[i]]++;
        pos_c[c[i]].push_back(i);
    }
    vi pos_c_idx(ALPHABET_SIZE);
    vi jump_left(l);
    for (int i=0; i < l; ++i) jump_left[i] = i;
    int c_idx = 0;
    for (int j=0; j < m; ++j) {
        int idx = pos_c_idx[b[j]];
        if (idx < occ_c[b[j]]) {
            jump_left[pos_c[b[j]][idx]] = min(jump_left[pos_c[b[j]][idx]], c_idx);
            pos_c_idx[b[j]]++;
        }
        if (b[j] == c[c_idx]) {
            c_idx++;
            if (c_idx == l) break;
        }
    }
    vi jump_right(l);
    for (int i=0; i < l; ++i) jump_right[i] = i;
    c_idx--;
    
    for (int i=n-1; i > -1; --i) {
         int idx = pos_c_idx[a[i]]-1;
        if (idx > -1) {
            jump_right[pos_c[a[i]][idx]] = max(jump_right[pos_c[a[i]][idx]], c_idx);
            pos_c_idx[a[i]]--;
        }
        if (a[i] == c[c_idx]) {
            //pos_c_idx[a[i]]--;
            c_idx--;
            if (c_idx < 0) break;
        }
        
    }
    vector<ii> stack_jump;
    for (int k=0; k < l; ++k) {
        while (!stack_jump.empty() && stack_jump.back().second < k) {
            stack_jump.pop_back();
        }
        if (!stack_jump.empty() && stack_jump.back().first >= jump_left[k]) {
            return false;
        }
        while (!stack_jump.empty() && stack_jump.back().second < jump_right[k]) {
            stack_jump.pop_back();
        }
        stack_jump.emplace_back(k, jump_right[k]);
        
    }
    return true;
}
bool verify(const vi& a, const vi& b, const vi& c) {
    return verify_jump(a, b, c) && verify_jump(b, a, c);
}
using pii=pair<int, int>;
const int nax=1007*1000;
int n, m;
int ilea[nax];
int ileb[nax];
int potrzebuje[nax];
vi pozy[nax];
int potrzebujewa[nax];
int potrzebujewb[nax];
vi licz_harde(vi a, vi b)
{
	n=a.size();
	m=b.size();
	for (int i=0; i<nax; i++)
		ilea[i]=ileb[i]=0;
	for (int i : a)
		ilea[i]++;
	for (int i : b)
		ileb[i]++;
	vector<pii> za, zb;
	for (int i=0; i<n; i++)
		if (ilea[a[i]]<=ileb[a[i]])
			za.push_back({a[i], i});
	for (int i=0; i<m; i++)
		if (ilea[b[i]]>ileb[b[i]])
			zb.push_back({b[i], i});
	
	{
		potrzebujewa[zb.size()]=n;
		int wsk=zb.size();
		for (int i=n-1; i>=0; i--)
		{
			if (wsk && zb[wsk-1].first==a[i])
			{
				wsk--;
				potrzebujewa[wsk]=i;
			}
		}
	}
	{
		potrzebujewb[za.size()]=m;
		int wsk=za.size();
		for (int i=m-1; i>=0; i--)
		{
			if (wsk && za[wsk-1].first==b[i])
			{
				wsk--;
				potrzebujewb[wsk]=i;
			}
		}
	}
	
	vi ret;
	int wska=0;
	int wskb=0;
	int gdz=0;
	for (int i : a)
	{
		if (wska<(int)za.size() && i==za[wska].first)
		{
			while(gdz<m && b[gdz]!=i)
				gdz++;
			if (gdz==m)
				return {-1};
			gdz++;
			ret.push_back(i);
			wska++;
		}
		if (wskb<(int)zb.size() && i==zb[wskb].first && gdz<=zb[wskb].second && potrzebujewb[wska]>zb[wskb].second)
		{
			ret.push_back(i);
			gdz=zb[wskb].second+1;
			wskb++;
		}
	}
	
	if ((int)ret.size()<(int)za.size()+(int)zb.size())
		return {-1};
	
	return ret;
}
vi licz_proste(vi a, vi b, int numwy)
{
	n=a.size();
	m=b.size();
	for (int i=0; i<nax; i++)
		ilea[i]=ileb[i]=0;
	for (int i : a)
		ilea[i]++;
	for (int i : b)
		ileb[i]++;
	vector<pii> za;
	for (int i=0; i<n; i++)
		if (ilea[a[i]]<=ileb[a[i]]-numwy)
			za.push_back({a[i], i});
	
	{
		potrzebuje[za.size()]=m;
		int wsk=za.size();
		for (int i=m-1; i>=0; i--)
		{
			if (wsk && za[wsk-1].first==b[i])
			{
				wsk--;
				potrzebuje[wsk]=i;
			}
		}
		if (wsk)
			return {-1};
	}
	
	for (int i=0; i<nax; i++)
		pozy[i].clear();
	for (int i=m-1; i>=0; i--)
		pozy[b[i]].push_back(i);
	
	vi ret;
	int wsk=0;
	int gdz=0;
	for (int i : a)
	{
		if (wsk<(int)za.size() && i==za[wsk].first)
		{
			while(gdz<m && b[gdz]!=i)
				gdz++;
			assert(gdz<m);
			gdz++;
			ret.push_back(i);
			wsk++;
		}
		else
		{
			while(!pozy[i].empty() && pozy[i].back()<gdz)
				pozy[i].pop_back();
			if (!pozy[i].empty() && potrzebuje[wsk]>pozy[i].back())
			{
				ret.push_back(i);
				gdz=pozy[i].back()+1;
			}
		}
	}
	
	return ret;
}
vi prosty(vi a, vi b)
{
	n=a.size();
	m=b.size();
	for (int i=0; i<nax; i++)
		pozy[i].clear();
	for (int i=m-1; i>=0; i--)
		pozy[b[i]].push_back(i);
	int gdz=0;
	vi ret;
	for (int i : a)
	{
		while(!pozy[i].empty() && pozy[i].back()<gdz)
			pozy[i].pop_back();
		if (!pozy[i].empty())
		{
			ret.push_back(i);
			gdz=pozy[i].back()+1;
		}
	}
	return ret;
}
int zawiera(vi kto, vi kogo)
{
	int wsk=0;
	for (int i : kto)
		if (wsk<(int)kogo.size() && i==kogo[wsk])
			wsk++;
	return wsk==(int)kogo.size();
}
vi ucs_radewoosh(vi a, vi b)
{
	vi odp=licz_harde(a, b);
	vi raz=licz_proste(a, b, 0);
	vi dwa=licz_proste(b, a, 1);
	reverse(a.begin(), a.end());
	reverse(b.begin(), b.end());
	vi trz=licz_proste(a, b, 0);
	vi czt=licz_proste(b, a, 1);
	reverse(a.begin(), a.end());
	reverse(b.begin(), b.end());
	reverse(trz.begin(), trz.end());
	reverse(czt.begin(), czt.end());
	
	vi x=prosty(a, b);
	vi y=prosty(b, a);
	reverse(a.begin(), a.end());
	reverse(b.begin(), b.end());
	vi z=prosty(a, b);
	vi w=prosty(b, a);
	reverse(a.begin(), a.end());
	reverse(b.begin(), b.end());
	reverse(z.begin(), z.end());
	reverse(w.begin(), w.end());
	
	if (zawiera(odp, raz) && zawiera(odp, dwa) && zawiera(odp, trz) && zawiera(odp, czt) && zawiera(odp, x) && zawiera(odp, y) && zawiera(odp, z) && zawiera(odp, w))
		return odp;
	return {-1};
}
vi ucs_radewoosh_plus_prefix_suffix(vi a, vi b) {
    vi cpref;
    vi csuf;
    
    while (!a.empty() && !b.empty() && a.back() == b.back()) {
        csuf.push_back(a.back());
        a.pop_back();
        b.pop_back();
    }
    reverse(csuf.begin(), csuf.end());
    reverse(a.begin(), a.end());
    reverse(b.begin(), b.end());
    while (!a.empty() && !b.empty() && a.back() == b.back()) {
        cpref.push_back(a.back());
        a.pop_back();
        b.pop_back();
    }
    reverse(a.begin(), a.end());
    reverse(b.begin(), b.end());
    vi rc = ucs_radewoosh(a, b);
    if (rc == vi({-1})) return rc;
    vi c;
    for (int x : cpref) c.push_back(x);
    for (int x : rc) c.push_back(x);
    for (int x : csuf) c.push_back(x);
    return c;
}
vector<int> ucs(vector<int> a, vector<int> b) {
    vi c = ucs_radewoosh_plus_prefix_suffix(a, b);
    if (!verify(a, b, c)) return {-1};
    return c;
}
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