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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#667464#7686. The Phantom MenacelamkappaTL 1180ms573808kbC++2010.6kb2024-10-22 23:18:012024-10-22 23:18:02

Judging History

你现在查看的是最新测评结果

  • [2024-10-22 23:18:02]
  • 评测
  • 测评结果:TL
  • 用时:1180ms
  • 内存:573808kb
  • [2024-10-22 23:18:01]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#ifndef STL_PBDS
#define STL_PBDS

#define _EXT_CODECVT_SPECIALIZATIONS_H 1
#define _EXT_ENC_FILEBUF_H 1
#include <bits/extc++.h>
// using namespace __gnu_cxx;
// using namespace __gnu_pbds;

// 平衡树
template<typename K_T,
    typename Cmp = std::less<K_T>,
    typename V_T = __gnu_pbds::null_type
>
using order_set = __gnu_pbds::tree<
    K_T,                                                // key_type
    V_T,                                                // value_type
    Cmp,                                                // comparator
    __gnu_pbds::rb_tree_tag,                            // tag
    __gnu_pbds::tree_order_statistics_node_update       // policy
>;
template<typename K_T,
    typename V_T = __gnu_pbds::null_type,
    typename Cmp = std::less<K_T>
>
using order_map = order_set<K_T, Cmp, V_T>;
template<typename K_T, typename V_T, typename Cmp>
V_T& operator%(order_map<K_T,V_T,Cmp>&mp, const K_T&x){
    return mp.lower_bound(x)->second;
}
/*
tag:
rb_tree_tag                                 红黑树
splay_tree_tag                              Slpay
ov_tree_tag                                 向量树

Itr ::point_iterator

std::pair<point_iterator, bool> insert(T)   插入
bool erase(T/Itr)                           删除元素/迭代器
int order_of_key(T)                         返回排名
Itr find_by_order(T)                        排名对应元素
Itr lower_bound(T)/upper_bound(T)           二分查找
void join(order_set)                        合并
void split(T,order_set)                     保留<=,其余分离覆盖到order_set中
bool empty()                                判空
size_t size()                               大小
Itr begin()/end()                           首尾迭代器
*/

/***************/

// 堆
template<typename T,
    typename Cmp = std::greater<T>
>
using heap = __gnu_pbds::priority_queue<
    T,                                                  // type
    Cmp,                                                // comparator
    __gnu_pbds::pairing_heap_tag                        // tag
>;
/*
tag:
pairing_heap_tag        配对堆
thin_heap_tag           斐波那契堆
binomial_heap_tag       二项堆
binary_heap_tag         二叉堆

Itr ::point_iterator    可以指定为nullptr

usage:
Itr push(T)             入堆
void pop()              出堆
T top()                 堆顶
void modify(Itr, T)     修改
void join(heap)         合并,清空heap
bool empty()            判空
size_t size()           大小
void clear()            清空
*/

/***************/

// 哈希表
const int RANDOM = std::chrono::high_resolution_clock::now().time_since_epoch().count();
template<typename K_T>
struct Chash{
    int operator()(K_T x)const{return std::hash<K_T>{}(x)^RANDOM;}
};
template<typename K_T, typename V_T, typename Hash = Chash<K_T>>
using hash_table = __gnu_pbds::gp_hash_table<K_T, V_T, Hash>;

/*
tag:
cc_hash_table           拉链法
gp_hash_table           二次探测法

V_T& operaotr[](K_T)    映射
*/


// 字典树
using trie = __gnu_pbds::trie<
    std::string,                                    //
    __gnu_pbds::null_type,                          //
    __gnu_pbds::trie_string_access_traits<>,        //
    __gnu_pbds::pat_trie_tag,                       // tag
    __gnu_pbds::trie_prefix_search_node_update      // policy
>;
/*
Itr insert(string)                          插入
void erase(string)                          删除
void join(trie)                             合并trie
std::pair<Itr, Itr> prefix_range(string)    前缀遍历[beign,end)
*/

#endif

#ifndef EULER_LOOP
#define EULER_LOOP

struct EulerLoop{
    std::vector<hash_table<int, int>> adj;

    EulerLoop(int n){
        adj.assign(n, {});
    }

    void add_edge(int u, int v){
        adj[u][v]++;
    }

    std::vector<int> find(int rt){
        std::vector<int> ans;
        // auto adj = this->adj;
        auto dfs = [&](auto&&dfs, int u)->void{
            while(!adj[u].empty()){
                auto v = adj[u].begin()->first;
                if(0 == --adj[u][v]){
                    adj[u].erase(v);
                }
                dfs(dfs, v);
            }
            ans.push_back(u);
        };
        dfs(dfs, rt);
        reverse(ans.begin(), ans.end());
        return ans;
    }

    bool empty()const{
        bool fl = true;
        for(const auto&x : adj){
            fl &= x.empty();
        }
        return fl;
    }
};

#endif


struct Hash{
    static constexpr std::size_t C = 2;
    using u64 = unsigned long long;
    using hash = std::array<u64, C>;

    hash val;

    Hash() { val.fill(0ull); }

    Hash(const std::initializer_list<u64>&list) {
        std::copy(list.begin(), list.end(), val.begin());
    }

    bool operator==(const Hash&o)const{
        return val == o.val;
    }
    Hash operator*(const Hash&o)const{
        return {val[0] * o.val[0], val[1] * o.val[1]};
    }
    Hash operator+(u64 x)const{
        return {val[0] + x, val[1] + x};
    }
    Hash operator+(const Hash&o)const{
        return {val[0] + o.val[0], val[1] + o.val[1]};
    }
    Hash operator-(u64 x)const{
        return {val[0] - x, val[1] - x};
    }
    Hash operator-(const Hash&o)const{
        return {val[0] - o.val[0], val[1] - o.val[1]};
    }

};
// const int RANDOM = std::chrono::high_resolution_clock::now().time_since_epoch().count();
namespace std {
    template <>
    struct hash<Hash> {
        std::size_t operator()(Hash x)const{
            return std::accumulate(x.val.begin(), x.val.end(), 0, std::bit_xor());
        }
    };
}
const Hash M = {51, 137};
constexpr int MAXM = 1e6+5;
std::array<Hash, MAXM> Mpow;

// hash_table<Hash, int> A1, A2, B1, B2;
// hash_table<Hash, int> mpA1, mpA2, mpB1, mpB2;
signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    Mpow[0] = {1, 1};
    for(int i=1; i<MAXM; i++){
        Mpow[i] = Mpow[i-1] * M;
    }

    int T; cin >> T;
    while(T--){
        int n, m; cin >> n >> m;
        vector hA(n, vector<Hash>(m+1));
        auto hB = hA;
        for(int i=0; i<n; i++){
            string s; cin >> s;
            for(int j=1; j<=m; j++){
                hA[i][j] = (hA[i][j-1]*M + (s[j-1] - 'a'));
            }
        }
        for(int i=0; i<n; i++){
            string s; cin >> s;
            for(int j=1; j<=m; j++){
                hB[i][j] = (hB[i][j-1]*M + (s[j-1] - 'a'));
            }
        }

        for(int offset=0; offset<m; offset++){
            // A1.clear(); A2.clear(); B1.clear(); B2.clear();
            hash_table<Hash, int> A1, A2, B1, B2;
            for(int i=0; i<n; i++){
                Hash a = hA[i][offset];
                Hash b = hA[i][m] - hA[i][offset] * Mpow[m-offset];
                A1[a]++; A2[b]++;
                // B1[b]++; B2[a]++;
            }
            for(int i=0; i<n; i++){
                Hash a = hB[i][m-offset];
                Hash b = hB[i][m] - hB[i][m-offset] * Mpow[offset];
                // A1[b]++; A2[a]++;
                B1[a]++; B2[b]++;
            }
            bool fl = true;
            for(auto[h, x] : A1) fl &= x == B2[h];
            for(auto[h, x] : A2) fl &= x == B1[h];
            // for(auto[h, x] : A1) fl &= (x % 2 == 0) && x == B2[h];
            // for(auto[h, x] : A2) fl &= (x % 2 == 0) && x == B1[h];
            // for(auto[h, x] : B1) fl &= (x % 2 == 0);
            // for(auto[h, x] : B2) fl &= (x % 2 == 0);
            if(fl){
                // mpA1.clear(), mpA2.clear(), mpB1.clear(), mpB2.clear();
                hash_table<Hash, int> mpA1, mpA2, mpB1, mpB2;
                int cnt = 0;
                for(auto[h, _] : A1) mpA1[h] = cnt++;
                auto cnt1 = cnt;
                for(auto[h, _] : A2) mpA2[h] = cnt++;
                auto cntAB = cnt;
                for(auto[h, _] : B1) mpB1[h] = cnt++;
                auto cnt2 = cnt;
                for(auto[h, _] : B2) mpB2[h] = cnt++;
                EulerLoop g(cnt);
                hash_table<int, Hash> pos;
                hash_table<Hash, vector<int>> segA, segB;
                for(int i=0; i<n; i++){
                    Hash a = hA[i][offset];
                    Hash b = hA[i][m] - hA[i][offset] * Mpow[m-offset];
                    g.add_edge(mpB2[a], mpA1[a]);
                    g.add_edge(mpA1[a], mpA2[b]);
                    // g.add_edge(mpA2[b], mpB1[b]);
                    pos[mpA1[a]] = a;
                    pos[mpA2[b]] = b;
                    Hash ab = b + a * Mpow[m-offset];
                    segA[ab].push_back(i);
                }
                for(int i=0; i<n; i++){
                    Hash a = hB[i][m-offset];
                    Hash b = hB[i][m] - hB[i][m-offset] * Mpow[offset];
                    g.add_edge(mpA2[a], mpB1[a]);
                    g.add_edge(mpB1[a], mpB2[b]);
                    // g.add_edge(mpB2[b], mpA1[b]);
                    pos[mpB1[a]] = a;
                    pos[mpB2[b]] = b;
                    Hash ab = b + a * Mpow[m-offset];
                    segB[ab].push_back(i);
                }
                auto ans = g.find(0);
                if(!g.empty()) continue;
                vector<int> ans_A, ans_B;
                for(int i=0; i<ans.size(); i++){
                    auto x = ans[i];
                    auto y = ans[(i+1)%ans.size()];
                    if(x < cntAB && y < cntAB){
                        if(x > y) swap(x, y);
                        Hash a = pos[x], b = pos[y];
                        Hash ab = b + a * Mpow[m-offset];
                        if(segA[ab].empty()) continue;
                        ans_A.push_back(segA[ab].back());
                        segA[ab].pop_back();
                    }else if(x >= cntAB && y >=cntAB){
                        if(x > y) swap(x, y);
                        Hash a = pos[x], b = pos[y];
                        Hash ab = b + a * Mpow[m-offset];
                        if(segB[ab].empty()) continue;
                        ans_B.push_back(segB[ab].back());
                        segB[ab].pop_back();
                    }
                }
                if(ans_A.size() != n || ans_B.size() != n) continue;
                for(auto x : ans_A) cout << x+1 << ' '; cout << '\n';
                for(auto x : ans_B) cout << x+1 << ' '; cout << '\n';


                goto NEXT_CASE;
            }
        }
        cout << "-1\n";

        NEXT_CASE:;
    }

    
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 19288kb

input:

2
3 3
abc
ghi
def
bcd
efg
hia
1 3
abc
def

output:

1 3 2 
1 2 3 
-1

result:

ok 2 cases (2 test cases)

Test #2:

score: 0
Accepted
time: 1180ms
memory: 19220kb

input:

1000000
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
b
b
1 1
a
b
1 1
b
a
1 1
a
a
1 1
...

output:

1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
-1
-1
...

result:

ok 1000000 cases (1000000 test cases)

Test #3:

score: 0
Accepted
time: 463ms
memory: 19288kb

input:

500000
1 2
dd
ba
1 2
cd
ba
1 2
bd
ba
1 2
ad
ba
1 2
dc
ba
1 2
cc
ba
1 2
bc
ba
1 2
ac
ba
1 2
db
ba
1 2
cb
ba
1 2
bb
ba
1 2
ab
ba
1 2
da
ba
1 2
ca
ba
1 2
ba
ba
1 2
aa
ba
1 2
dd
aa
1 2
cd
aa
1 2
bd
aa
1 2
ad
aa
1 2
dc
aa
1 2
cc
aa
1 2
bc
aa
1 2
ac
aa
1 2
db
aa
1 2
cb
aa
1 2
bb
aa
1 2
ab
aa
1 2
da
aa
1 2...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 500000 cases (500000 test cases)

Test #4:

score: 0
Accepted
time: 401ms
memory: 19268kb

input:

500000
2 1
d
d
b
a
2 1
c
d
b
a
2 1
b
d
b
a
2 1
a
d
b
a
2 1
d
c
b
a
2 1
c
c
b
a
2 1
b
c
b
a
2 1
a
c
b
a
2 1
d
b
b
a
2 1
c
b
b
a
2 1
b
b
b
a
2 1
a
b
b
a
2 1
d
a
b
a
2 1
c
a
b
a
2 1
b
a
b
a
2 1
a
a
b
a
2 1
d
d
a
a
2 1
c
d
a
a
2 1
b
d
a
a
2 1
a
d
a
a
2 1
d
c
a
a
2 1
c
c
a
a
2 1
b
c
a
a
2 1
a
c
a
a
2 1
d...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 2 
2 1 
-1
-1
1 2 
1 2 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
2 1 
2 1 
2 1 
2 1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 2 
1 2 
-1
-1
1 2 
2 1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 2 
1 2 
-1
-1
-1
-1
-1
1 2 
2 1 
-1
-1
-1
-1
-1
-1
-1
-1
-...

result:

ok 500000 cases (500000 test cases)

Test #5:

score: 0
Accepted
time: 351ms
memory: 19488kb

input:

333333
1 3
cbb
bfa
1 3
bbb
bfa
1 3
abb
bfa
1 3
fab
bfa
1 3
eab
bfa
1 3
dab
bfa
1 3
cab
bfa
1 3
bab
bfa
1 3
aab
bfa
1 3
ffa
bfa
1 3
efa
bfa
1 3
dfa
bfa
1 3
cfa
bfa
1 3
bfa
bfa
1 3
afa
bfa
1 3
fea
bfa
1 3
eea
bfa
1 3
dea
bfa
1 3
cea
bfa
1 3
bea
bfa
1 3
aea
bfa
1 3
fda
bfa
1 3
eda
bfa
1 3
dda
bfa
1 3
c...

output:

-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 333333 cases (333333 test cases)

Test #6:

score: 0
Accepted
time: 271ms
memory: 19464kb

input:

333333
3 1
c
b
b
b
f
a
3 1
b
b
b
b
f
a
3 1
a
b
b
b
f
a
3 1
f
a
b
b
f
a
3 1
e
a
b
b
f
a
3 1
d
a
b
b
f
a
3 1
c
a
b
b
f
a
3 1
b
a
b
b
f
a
3 1
a
a
b
b
f
a
3 1
f
f
a
b
f
a
3 1
e
f
a
b
f
a
3 1
d
f
a
b
f
a
3 1
c
f
a
b
f
a
3 1
b
f
a
b
f
a
3 1
a
f
a
b
f
a
3 1
f
e
a
b
f
a
3 1
e
e
a
b
f
a
3 1
d
e
a
b
f
a
3 1
c...

output:

-1
-1
-1
1 3 2 
2 1 3 
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 3 2 
1 3 2 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 3 2 
2 3 1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
2 1 3 
3 1 2 
-1
-1
-1
-1
-...

result:

ok 333333 cases (333333 test cases)

Test #7:

score: 0
Accepted
time: 326ms
memory: 19200kb

input:

250000
1 4
hbca
fhaa
1 4
gbca
fhaa
1 4
fbca
fhaa
1 4
ebca
fhaa
1 4
dbca
fhaa
1 4
cbca
fhaa
1 4
bbca
fhaa
1 4
abca
fhaa
1 4
haca
fhaa
1 4
gaca
fhaa
1 4
faca
fhaa
1 4
eaca
fhaa
1 4
daca
fhaa
1 4
caca
fhaa
1 4
baca
fhaa
1 4
aaca
fhaa
1 4
hhba
fhaa
1 4
ghba
fhaa
1 4
fhba
fhaa
1 4
ehba
fhaa
1 4
dhba
fhaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 
1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 250000 cases (250000 test cases)

Test #8:

score: 0
Accepted
time: 244ms
memory: 19272kb

input:

250000
4 1
h
b
c
a
f
h
a
a
4 1
g
b
c
a
f
h
a
a
4 1
f
b
c
a
f
h
a
a
4 1
e
b
c
a
f
h
a
a
4 1
d
b
c
a
f
h
a
a
4 1
c
b
c
a
f
h
a
a
4 1
b
b
c
a
f
h
a
a
4 1
a
b
c
a
f
h
a
a
4 1
h
a
c
a
f
h
a
a
4 1
g
a
c
a
f
h
a
a
4 1
f
a
c
a
f
h
a
a
4 1
e
a
c
a
f
h
a
a
4 1
d
a
c
a
f
h
a
a
4 1
c
a
c
a
f
h
a
a
4 1
b
a
c
a
f...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 2 4 3 
1 2 4 3 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 250000 cases (250000 test cases)

Test #9:

score: 0
Accepted
time: 315ms
memory: 19292kb

input:

200000
1 5
jjjjj
baaaa
1 5
ijjjj
baaaa
1 5
hjjjj
baaaa
1 5
gjjjj
baaaa
1 5
fjjjj
baaaa
1 5
ejjjj
baaaa
1 5
djjjj
baaaa
1 5
cjjjj
baaaa
1 5
bjjjj
baaaa
1 5
ajjjj
baaaa
1 5
jijjj
baaaa
1 5
iijjj
baaaa
1 5
hijjj
baaaa
1 5
gijjj
baaaa
1 5
fijjj
baaaa
1 5
eijjj
baaaa
1 5
dijjj
baaaa
1 5
cijjj
baaaa
1 5
b...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 200000 cases (200000 test cases)

Test #10:

score: 0
Accepted
time: 226ms
memory: 19288kb

input:

200000
5 1
j
j
j
j
j
b
a
a
a
a
5 1
i
j
j
j
j
b
a
a
a
a
5 1
h
j
j
j
j
b
a
a
a
a
5 1
g
j
j
j
j
b
a
a
a
a
5 1
f
j
j
j
j
b
a
a
a
a
5 1
e
j
j
j
j
b
a
a
a
a
5 1
d
j
j
j
j
b
a
a
a
a
5 1
c
j
j
j
j
b
a
a
a
a
5 1
b
j
j
j
j
b
a
a
a
a
5 1
a
j
j
j
j
b
a
a
a
a
5 1
j
i
j
j
j
b
a
a
a
a
5 1
i
i
j
j
j
b
a
a
a
a
5 1
h...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 200000 cases (200000 test cases)

Test #11:

score: 0
Accepted
time: 271ms
memory: 19504kb

input:

250000
2 2
hb
ca
fh
aa
2 2
gb
ca
fh
aa
2 2
fb
ca
fh
aa
2 2
eb
ca
fh
aa
2 2
db
ca
fh
aa
2 2
cb
ca
fh
aa
2 2
bb
ca
fh
aa
2 2
ab
ca
fh
aa
2 2
ha
ca
fh
aa
2 2
ga
ca
fh
aa
2 2
fa
ca
fh
aa
2 2
ea
ca
fh
aa
2 2
da
ca
fh
aa
2 2
ca
ca
fh
aa
2 2
ba
ca
fh
aa
2 2
aa
ca
fh
aa
2 2
hh
ba
fh
aa
2 2
gh
ba
fh
aa
2 2
f...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
2 1 
2 1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1...

result:

ok 250000 cases (250000 test cases)

Test #12:

score: 0
Accepted
time: 204ms
memory: 19252kb

input:

166666
2 3
jef
aia
aaa
aaa
2 3
ief
aia
aaa
aaa
2 3
hef
aia
aaa
aaa
2 3
gef
aia
aaa
aaa
2 3
fef
aia
aaa
aaa
2 3
eef
aia
aaa
aaa
2 3
def
aia
aaa
aaa
2 3
cef
aia
aaa
aaa
2 3
bef
aia
aaa
aaa
2 3
aef
aia
aaa
aaa
2 3
ldf
aia
aaa
aaa
2 3
kdf
aia
aaa
aaa
2 3
jdf
aia
aaa
aaa
2 3
idf
aia
aaa
aaa
2 3
hdf
aia
a...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 166666 cases (166666 test cases)

Test #13:

score: 0
Accepted
time: 201ms
memory: 19292kb

input:

166666
3 2
je
fa
ia
aa
aa
aa
3 2
ie
fa
ia
aa
aa
aa
3 2
he
fa
ia
aa
aa
aa
3 2
ge
fa
ia
aa
aa
aa
3 2
fe
fa
ia
aa
aa
aa
3 2
ee
fa
ia
aa
aa
aa
3 2
de
fa
ia
aa
aa
aa
3 2
ce
fa
ia
aa
aa
aa
3 2
be
fa
ia
aa
aa
aa
3 2
ae
fa
ia
aa
aa
aa
3 2
ld
fa
ia
aa
aa
aa
3 2
kd
fa
ia
aa
aa
aa
3 2
jd
fa
ia
aa
aa
aa
3 2
id
...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 166666 cases (166666 test cases)

Test #14:

score: 0
Accepted
time: 189ms
memory: 19220kb

input:

125000
2 4
heio
baaa
aaaa
aaaa
2 4
geio
baaa
aaaa
aaaa
2 4
feio
baaa
aaaa
aaaa
2 4
eeio
baaa
aaaa
aaaa
2 4
deio
baaa
aaaa
aaaa
2 4
ceio
baaa
aaaa
aaaa
2 4
beio
baaa
aaaa
aaaa
2 4
aeio
baaa
aaaa
aaaa
2 4
pdio
baaa
aaaa
aaaa
2 4
odio
baaa
aaaa
aaaa
2 4
ndio
baaa
aaaa
aaaa
2 4
mdio
baaa
aaaa
aaaa
2 4
l...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 125000 cases (125000 test cases)

Test #15:

score: 0
Accepted
time: 164ms
memory: 19220kb

input:

125000
4 2
he
io
ba
aa
aa
aa
aa
aa
4 2
ge
io
ba
aa
aa
aa
aa
aa
4 2
fe
io
ba
aa
aa
aa
aa
aa
4 2
ee
io
ba
aa
aa
aa
aa
aa
4 2
de
io
ba
aa
aa
aa
aa
aa
4 2
ce
io
ba
aa
aa
aa
aa
aa
4 2
be
io
ba
aa
aa
aa
aa
aa
4 2
ae
io
ba
aa
aa
aa
aa
aa
4 2
pd
io
ba
aa
aa
aa
aa
aa
4 2
od
io
ba
aa
aa
aa
aa
aa
4 2
nd
io
ba
...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 125000 cases (125000 test cases)

Test #16:

score: 0
Accepted
time: 186ms
memory: 19280kb

input:

100000
2 5
ttjma
aaaaa
aaaaa
aaaaa
2 5
stjma
aaaaa
aaaaa
aaaaa
2 5
rtjma
aaaaa
aaaaa
aaaaa
2 5
qtjma
aaaaa
aaaaa
aaaaa
2 5
ptjma
aaaaa
aaaaa
aaaaa
2 5
otjma
aaaaa
aaaaa
aaaaa
2 5
ntjma
aaaaa
aaaaa
aaaaa
2 5
mtjma
aaaaa
aaaaa
aaaaa
2 5
ltjma
aaaaa
aaaaa
aaaaa
2 5
ktjma
aaaaa
aaaaa
aaaaa
2 5
jtjma
aaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 100000 cases (100000 test cases)

Test #17:

score: 0
Accepted
time: 129ms
memory: 19224kb

input:

100000
5 2
tt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
st
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
rt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
qt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
pt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
ot
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
nt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
mt
jm
aa
aa
aa
aa
aa
aa
aa
aa
5 2
lt
jm
aa
aa
aa
aa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 100000 cases (100000 test cases)

Test #18:

score: 0
Accepted
time: 154ms
memory: 19420kb

input:

111111
3 3
oqa
bba
aaa
aaa
aaa
aaa
3 3
nqa
bba
aaa
aaa
aaa
aaa
3 3
mqa
bba
aaa
aaa
aaa
aaa
3 3
lqa
bba
aaa
aaa
aaa
aaa
3 3
kqa
bba
aaa
aaa
aaa
aaa
3 3
jqa
bba
aaa
aaa
aaa
aaa
3 3
iqa
bba
aaa
aaa
aaa
aaa
3 3
hqa
bba
aaa
aaa
aaa
aaa
3 3
gqa
bba
aaa
aaa
aaa
aaa
3 3
fqa
bba
aaa
aaa
aaa
aaa
3 3
eqa
bba
a...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 111111 cases (111111 test cases)

Test #19:

score: 0
Accepted
time: 137ms
memory: 19252kb

input:

83333
3 4
eqag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
dqag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
cqag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
bqag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
aqag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
xpag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
wpag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
vpag
aaaa
aaaa
aaaa
aaaa
aaaa
3 4
upag
aaaa
aaaa
aaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 83333 cases (83333 test cases)

Test #20:

score: 0
Accepted
time: 127ms
memory: 19284kb

input:

83333
4 3
eqa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
dqa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
cqa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
bqa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
aqa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
xpa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
wpa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
vpa
gaa
aaa
aaa
aaa
aaa
aaa
aaa
4 3
up...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 83333 cases (83333 test cases)

Test #21:

score: 0
Accepted
time: 135ms
memory: 19284kb

input:

66666
3 5
bquda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
aquda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
zpuda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
ypuda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
xpuda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
wpuda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
vpuda
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa
3 5
upuda
aaaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 66666 cases (66666 test cases)

Test #22:

score: 0
Accepted
time: 108ms
memory: 19488kb

input:

66666
5 3
bqu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
aqu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
zpu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
ypu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
xpu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
wpu
daa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
aaa
5 3
vpu
daa
aaa
aaa
aaa
aaa
aa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 66666 cases (66666 test cases)

Test #23:

score: 0
Accepted
time: 84ms
memory: 19332kb

input:

20833
6 8
gvebaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
6 8
fvebaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
6 8
evebaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaaaaaaa
aaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 20833 cases (20833 test cases)

Test #24:

score: 0
Accepted
time: 71ms
memory: 19500kb

input:

15873
9 7
mmxaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
9 7
lmxaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaaa
aaaaaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 15873 cases (15873 test cases)

Test #25:

score: 0
Accepted
time: 65ms
memory: 19456kb

input:

10000
10 10
puoaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
10 10
ouoaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaaaaaa...

output:

-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
...

result:

ok 10000 cases (10000 test cases)

Test #26:

score: 0
Accepted
time: 704ms
memory: 19272kb

input:

250000
2 2
od
ah
ha
do
2 2
il
ng
il
ng
2 2
cf
pf
pf
cf
2 2
wx
ll
wx
ll
2 2
fg
ge
ge
fg
2 2
dg
mj
dg
mj
2 2
rj
vw
wr
jv
2 2
er
pv
pv
er
2 2
kc
lb
cl
bk
2 2
dh
zc
hz
cd
2 2
qv
ce
eq
vc
2 2
lz
um
zu
ml
2 2
hw
xx
hw
xx
2 2
uk
un
ku
nu
2 2
sg
kx
gs
xk
2 2
ib
xw
ib
xw
2 2
ar
pd
pd
ar
2 2
ij
si
ii
js
2 2
p...

output:

-1
1 2 
1 2 
1 2 
2 1 
2 1 
2 1 
2 1 
1 2 
2 1 
2 1 
2 1 
1 2 
1 2 
2 1 
2 1 
2 1 
2 1 
2 1 
2 1 
1 2 
2 1 
2 1 
2 1 
2 1 
1 2 
1 2 
-1
1 2 
1 2 
1 2 
2 1 
2 1 
1 2 
2 1 
1 2 
2 1 
2 1 
-1
2 1 
1 2 
1 2 
2 1 
1 2 
2 1 
1 2 
1 2 
1 2 
1 2 
2 1 
2 1 
-1
2 1 
1 2 
2 1 
1 2 
2 1 
1 2 
1 2 
1 2 
2 1 
1 2...

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 474ms
memory: 19424kb

input:

166666
2 3
aib
avi
aib
avi
2 3
btw
xjw
xjw
btw
2 3
dng
ouv
uvd
ngo
2 3
ctq
sve
sve
ctq
2 3
ott
obm
ott
obm
2 3
aly
tmx
aly
tmx
2 3
nhm
zar
arn
hmz
2 3
knr
qpa
nrq
pak
2 3
gsw
fyn
sng
ywf
2 3
qcy
rov
qcy
rov
2 3
nmj
tyx
tyx
nmj
2 3
dbu
pim
pim
dbu
2 3
afj
zwf
ffa
wjz
2 3
vgo
sky
gyv
kos
2 3
zru
bog
u...

output:

1 2 
1 2 
2 1 
1 2 
1 2 
2 1 
1 2 
2 1 
1 2 
1 2 
2 1 
2 1 
1 2 
2 1 
1 2 
1 2 
-1
1 2 
1 2 
1 2 
2 1 
2 1 
1 2 
-1
-1
-1
-1
1 2 
1 2 
-1
1 2 
1 2 
2 1 
2 1 
-1
1 2 
2 1 
2 1 
1 2 
1 2 
2 1 
1 2 
1 2 
1 2 
2 1 
1 2 
1 2 
1 2 
1 2 
2 1 
2 1 
-1
1 2 
1 2 
1 2 
1 2 
1 2 
2 1 
1 2 
1 2 
1 2 
1 2 
-1
2 1...

result:

ok 166666 cases (166666 test cases)

Test #28:

score: 0
Accepted
time: 662ms
memory: 19296kb

input:

166666
3 2
yx
pd
tl
dt
xy
lp
3 2
xb
pc
cr
xb
pc
cr
3 2
bw
bl
so
bw
bl
so
3 2
oq
eu
tx
eu
oq
tx
3 2
tk
ul
ep
le
kt
pu
3 2
ze
en
iq
qe
ei
nz
3 2
zn
vd
nz
nv
zn
dz
3 2
sn
aa
sl
aa
sn
sl
3 2
cn
lx
jn
cn
lx
jn
3 2
il
td
rf
rf
td
il
3 2
up
mr
ex
ru
xe
pm
3 2
pk
vn
pk
pk
vn
pk
3 2
ke
vj
cp
ke
cp
vj
3 2
aq
...

output:

-1
2 1 3 
2 1 3 
2 1 3 
2 1 3 
2 1 3 
1 2 3 
-1
1 3 2 
2 1 3 
-1
2 3 1 
1 3 2 
2 3 1 
2 3 1 
1 3 2 
3 1 2 
-1
2 3 1 
2 3 1 
1 2 3 
1 3 2 
1 2 3 
1 3 2 
1 3 2 
1 3 2 
1 3 2 
1 3 2 
2 3 1 
2 1 3 
3 1 2 
2 3 1 
1 3 2 
2 1 3 
1 2 3 
3 2 1 
1 3 2 
2 3 1 
1 3 2 
3 2 1 
1 2 3 
2 1 3 
1 3 2 
3 1 2 
1 2 3 
2...

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1155ms
memory: 19244kb

input:

125000
8 1
b
j
r
k
f
e
h
g
f
g
h
e
r
j
b
k
8 1
v
d
t
w
h
h
k
o
w
v
d
h
k
h
o
t
8 1
s
u
k
a
a
v
i
d
a
d
v
u
s
a
k
i
8 1
j
l
p
m
z
o
s
f
z
o
f
l
m
p
s
j
8 1
h
v
s
i
j
d
a
w
d
i
j
s
w
a
h
v
8 1
a
h
a
e
b
w
m
l
e
l
a
m
a
h
w
b
8 1
q
f
y
l
s
m
d
c
c
f
d
q
y
l
s
m
8 1
q
c
o
k
n
a
v
w
k
q
v
n
c
a
o
w
8 1
f...

output:

2 3 1 6 7 4 8 5 
6 5 7 4 3 8 2 1 
2 3 1 7 8 4 6 5 
3 8 2 5 7 1 6 4 
2 3 1 7 8 5 4 6 
4 7 5 8 2 6 1 3 
2 3 1 6 7 4 8 5 
4 6 8 2 7 5 3 1 
2 3 1 6 7 4 8 5 
8 4 7 1 6 2 5 3 
2 4 3 1 7 8 5 6 
6 1 5 3 4 2 8 7 
2 3 1 6 7 4 8 5 
2 5 4 8 3 6 1 7 
2 3 1 6 7 4 8 5 
5 7 2 6 3 1 8 4 
2 3 1 6 7 4 8 5 
8 6 2 5 3 4...

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 322ms
memory: 19220kb

input:

100000
1 10
klhmhvkswy
wykjhmhvks
1 10
uqieigoabd
qieigoabdu
1 10
bunljqpvov
vbunljqivo
1 10
ytkmhxtntc
xtntcytkmh
1 10
lufmlhxbvz
ufmlcxbvzl
1 10
cuemsefukn
sefukncueq
1 10
oomyzzliuk
zzliukoomy
1 10
piekrxtsag
rxtsagpiek
1 10
pwhbveolnf
nfpwhbveol
1 10
wsyjzqnbtj
jzqnbojwsy
1 10
iqayiqecea
aiqaytq...

output:

-1
1 
1 
-1
1 
1 
-1
-1
1 
1 
1 
1 
1 
1 
-1
-1
1 
1 
-1
-1
1 
1 
1 
1 
-1
1 
1 
-1
-1
-1
-1
-1
1 
1 
1 
1 
-1
1 
1 
1 
1 
-1
1 
1 
-1
-1
1 
1 
-1
1 
1 
1 
1 
-1
-1
1 
1 
1 
1 
1 
1 
1 
1 
1 
1 
-1
1 
1 
1 
1 
1 
1 
1 
1 
-1
1 
1 
-1
-1
-1
1 
1 
-1
1 
1 
-1
-1
1 
1 
-1
-1
-1
1 
1 
1 
1 
-1
-1
1 
1 
...

result:

ok 100000 cases (100000 test cases)

Test #31:

score: 0
Accepted
time: 367ms
memory: 19300kb

input:

28571
7 5
rpdbr
kijbw
qotha
wvxmn
frbey
tdjed
vqpoy
havot
bwfrb
edrpd
mnkij
eyqqp
oytdj
brwvx
7 5
pecul
iozuk
kxkfg
ivcha
erold
abatw
otvoe
otvoe
kxkfg
abatw
ivcha
pecul
erold
iozuk
7 5
qmwhz
odnhu
dkzle
roeec
xftep
axzal
kgusp
ecdgu
huxft
epqmw
lekkz
alroe
hzaxz
spodn
7 5
aefno
popfk
shavv
cvhdy
na...

output:

-1
4 5 6 7 2 1 3 
4 6 3 1 7 5 2 
-1
1 7 4 6 3 5 2 
5 4 6 1 7 2 3 
-1
1 3 2 6 4 5 7 
2 4 6 1 3 5 7 
1 6 3 2 4 5 7 
4 3 7 6 5 2 1 
-1
1 5 6 7 2 3 4 
7 3 1 5 2 4 6 
-1
-1
1 3 6 7 2 4 5 
3 2 7 1 5 4 6 
6 4 2 1 7 3 5 
6 2 4 7 1 5 3 
-1
7 5 2 4 6 1 3 
7 3 4 6 1 2 5 
5 1 3 2 6 4 7 
2 1 5 3 4 6 7 
6 5 3 7 4...

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 323ms
memory: 50832kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 476ms
memory: 313144kb

input:

1
500000 2
bh
nk
zd
bw
cc
la
zr
if
ts
tq
nz
td
rv
th
nw
az
pa
qy
cq
uu
rk
sl
du
ll
jn
fw
qm
rw
va
ii
as
hw
wo
vt
zi
yt
wx
xd
en
ws
we
rw
gk
lp
hh
qp
fj
cu
uu
bp
uq
ge
lb
sa
hg
yx
gm
cu
tr
wj
ws
ei
cv
ct
wn
at
ju
mo
bm
ht
ep
ul
jt
yw
wu
ml
sh
vt
kp
ha
ws
qy
pn
nz
aq
wa
my
mf
bq
ff
xo
br
uc
pt
ne
ya
i...

output:

499408 499901 499403 499221 499077 498392 498232 498172 498018 497879 497829 497504 496520 496494 495504 492044 491371 489676 488996 488805 487591 485952 484960 484036 483727 483152 482983 482116 481842 481452 481191 481083 481026 480080 479953 479024 478567 477958 477933 476858 476481 475228 474300...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 643ms
memory: 571300kb

input:

1
1000000 1
f
l
m
t
y
i
g
k
v
k
g
z
f
h
n
e
v
m
b
g
a
n
i
u
v
a
k
b
e
j
x
n
m
u
a
x
a
g
t
g
a
g
v
p
q
f
g
q
i
f
t
l
t
t
w
z
l
z
n
m
v
r
v
v
t
x
w
q
h
x
h
k
n
t
m
i
y
k
e
j
b
m
u
q
x
n
u
t
v
f
n
h
z
w
g
v
r
m
x
c
a
g
x
p
p
n
w
y
x
j
t
b
d
z
n
h
f
u
u
i
y
p
c
w
b
m
d
k
p
p
m
q
j
k
o
g
g
b
r
w
c
y
d
h
...

output:

999976 999935 999928 999909 999904 999899 999896 999883 999882 999838 999836 999790 999783 999782 999778 999776 999768 999755 999753 999729 999722 999641 999616 999601 999597 999535 999528 999516 999469 999461 999456 999427 999402 999382 999381 999375 999371 999332 999331 999304 999278 999262 999217...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 152ms
memory: 51656kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

2 1 
1 2 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 132ms
memory: 52076kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 173ms
memory: 52604kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

614 985 203 989 157 671 737 152 779 442 620 726 167 78 861 111 493 577 310 147 156 35 533 354 189 930 963 738 291 343 329 131 160 39 797 467 387 879 843 144 908 166 17 205 37 548 284 431 925 67 237 292 236 591 713 363 825 831 397 207 20 788 694 503 932 699 969 839 698 970 770 216 815 48 14 206 603 9...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 342ms
memory: 313720kb

input:

1
500000 2
lm
hm
wf
rl
ze
qc
ku
dz
is
dg
lc
kw
ys
ho
re
gu
pb
on
oe
wc
ya
kx
zh
fg
lb
fn
ys
ci
da
ta
mg
nc
qj
tx
tn
zw
gu
na
ee
oa
qm
zz
hx
rs
fl
bz
ik
fm
sq
xr
tf
id
lh
bk
sw
qx
lw
aa
bx
cg
ns
vl
bg
im
qp
pc
rh
pa
ns
kf
la
pl
am
sz
xs
xq
uc
wf
lz
iq
ok
mh
wi
kj
ui
xl
na
fs
vg
wf
qg
rn
th
ju
rp
fs
w...

output:

498543 497166 496716 496160 494250 494197 494176 493940 493859 493130 492625 492330 491290 489069 487718 487575 484697 483636 483389 482572 480708 480478 480078 479118 476583 476035 474305 474012 473801 473693 473267 473050 472526 472494 472160 471388 470900 469676 469574 469194 469122 468958 468853...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 626ms
memory: 573808kb

input:

1
1000000 1
h
v
a
h
z
d
c
r
l
b
t
l
d
s
z
h
c
n
p
d
v
t
x
a
z
k
i
q
g
d
p
s
i
a
z
l
e
f
q
t
v
r
b
a
f
v
v
c
z
c
w
u
s
e
d
p
w
c
n
y
f
d
f
j
i
x
b
a
h
m
w
g
b
z
h
d
m
y
q
y
u
d
s
g
l
m
t
p
u
x
w
m
h
c
t
y
p
u
e
l
h
s
x
m
f
t
p
d
f
z
z
k
w
h
s
y
i
h
v
j
w
w
s
v
h
y
a
r
f
y
d
j
w
e
a
h
k
p
x
l
x
a
k
f
...

output:

999968 999951 999928 999897 999867 999840 999828 999823 999798 999790 999714 999678 999652 999577 999557 999546 999493 999489 999468 999429 999393 999360 999338 999335 999299 999286 999269 999256 999245 999172 999150 999109 999107 999106 999033 999030 998981 998962 998924 998880 998759 998701 998578...

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 358ms
memory: 51596kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 113ms
memory: 52228kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 311ms
memory: 50828kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 469ms
memory: 313004kb

input:

1
500000 2
pa
fn
bi
ka
az
wj
sf
db
xb
ad
di
ur
he
dq
bv
zf
cw
yw
ha
to
hl
al
wi
pq
pq
ao
eh
ua
xo
oi
dw
nz
do
dn
oq
sd
bn
nj
fa
mx
vx
ss
pp
dz
jk
us
mv
ko
gk
wa
ju
em
bc
tp
qx
cr
rh
ro
qx
vk
bm
ju
ir
kd
ny
gw
sg
js
qt
zi
uf
pg
md
du
he
qy
ur
ge
dp
ho
hb
ig
zi
dr
wq
ix
my
gz
tf
kb
ab
ye
zf
rx
cy
mq
o...

output:

498091 499785 499759 497771 497324 496770 495189 494818 494667 494531 493463 493433 492875 492588 492339 491685 490280 489895 489729 489021 488089 487448 485912 485390 485301 484099 483408 483407 482714 482024 481558 480688 479647 478743 477361 476040 472465 470113 469226 468047 465815 465293 463326...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 639ms
memory: 571036kb

input:

1
1000000 1
i
b
s
i
b
r
y
g
d
n
a
s
e
b
k
h
d
f
m
c
t
a
e
u
q
d
e
s
f
p
g
t
f
u
l
v
k
z
y
s
d
d
v
m
u
e
l
c
l
v
e
q
i
o
w
f
c
k
f
f
o
y
h
b
o
r
n
h
n
j
w
d
l
z
n
p
u
n
z
t
r
w
d
e
l
g
r
u
a
v
h
t
s
k
i
y
m
q
g
a
x
z
i
p
b
w
e
m
n
i
z
g
u
g
q
c
f
c
e
h
j
e
i
t
d
r
m
g
d
h
z
w
v
y
i
l
o
u
r
m
j
l
d
p
...

output:

999994 999975 999913 999865 999830 999759 999711 999689 999633 999605 999594 999585 999567 999498 999472 999415 999399 999395 999365 999323 999287 999280 999264 999243 999239 999217 999200 999198 999184 999144 999125 999120 999098 999034 999013 998991 998946 998922 998912 998906 998867 998862 998858...

result:

ok 1 cases (1 test case)

Test #45:

score: 0
Accepted
time: 728ms
memory: 246600kb

input:

1
100000 10
ehlimdmwkt
jlrfzdjvam
jwtsqoiebv
mlksfsakmd
zamugzmeha
nxepoofxsh
idoigdreky
ugarhoilzd
oalhajmyfd
vfnxfsoasz
fymboaopqw
rgyhcdtcxm
nvgtvzxgqs
uhwapwajcq
udicenzrkr
jgeaupojpv
efrdqjgayp
yvqwqkaipk
jlsbzxdzeh
btdjgvxcqd
uqcoyaaohl
szcxibrkvc
yzyntbtiuo
lbwkorixzq
lfffvwuktb
euhjmdnptr
tb...

output:

11174 20535 89900 97649 54668 82894 71124 70074 24939 55805 16149 82076 15145 53082 93815 64607 38743 17554 67041 86866 1433 38190 54978 47027 37166 30003 91959 36577 87526 55864 45268 65485 68449 84340 86015 67174 83566 66448 65614 68878 34006 80064 68126 89245 19019 32268 89237 73878 55142 55359 1...

result:

ok 1 cases (1 test case)

Test #46:

score: 0
Accepted
time: 473ms
memory: 243148kb

input:

1
100000 10
mqpzaypqsg
rybikrqyzx
gxcfzgdglt
sszegicsli
oxzpnucwde
ezkskhdmiu
lqsgzsxckw
jlglibuvpi
ctqjnskviw
yqhiaisjxf
mpmgtaupwp
swrhvwtxpg
wcgchdtjyk
hynexzwpxj
veaomhaxnn
bluwuxnmyj
zeefjdwksv
lgegdqxuyt
ezkpautemn
ykbpibnfsp
ddbtafikzb
cetuawmhwo
epwldttkrv
lytomstlzm
wugxtmlmzf
atathrowwp
sv...

output:

25282 24458 66181 16518 83825 98453 41579 43572 2974 33296 93391 70268 47994 51088 18249 5342 23202 45217 43230 12241 80369 70630 51938 89972 35542 72443 63688 1275 6402 56990 75495 66951 97875 22725 11394 10744 84860 62183 98774 67894 14949 65811 40738 50341 45792 48175 47075 89819 58860 65161 1903...

result:

ok 1 cases (1 test case)

Test #47:

score: 0
Accepted
time: 304ms
memory: 161968kb

input:

1
200000 5
untrg
qewwk
zdlct
ltaki
tegsd
pllgg
jvwkk
pkcru
donwe
elvdq
crquy
yqlbl
yalff
rwhfy
xlsqg
vzjww
vjdni
vevwr
njecm
onvvj
ldfjq
ypgae
vuuvu
jxgce
weone
hnklb
hkkyw
tuwyp
kgcad
octvg
gfkei
ovmql
kxzta
npvrv
pxenv
hklvf
sfzso
blanl
jigxz
uqcrk
lbehm
cxwbq
ymdzw
hmvpk
wjdqq
kpfls
rktrp
ogdhs
f...

output:

-1

result:

ok 1 cases (1 test case)

Test #48:

score: -100
Time Limit Exceeded

input:

1
100000 10
fxhzgdmpvu
rbapkxuwdz
rcbtjgzlqz
vuwjdihqwk
brwenfhpot
cazbgafcaa
ylyhnyrgwt
sixsqzjakz
qdxsdrthuu
zdrwkcqqdk
xluoyqriep
wpcqewlpfo
ebcmamyzmt
fanzqaxbew
ikmsqafyun
xczrzagmdn
bbsvmsrtph
sjtudpeyqj
kdvxgfnozj
pnbefumkkh
xjahjflidu
begdvasklf
xcragpudlh
pkugzyrpgn
dtlznmvred
supuawndia
xa...

output:


result: