QOJ.ac

QOJ

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
#667551#7686. The Phantom MenacelamkappaWA 3513ms574012kbC++2013.8kb2024-10-23 00:07:532024-10-23 00:07:55

Judging History

你现在查看的是最新测评结果

  • [2024-10-23 00:07:55]
  • 评测
  • 测评结果:WA
  • 用时:3513ms
  • 内存:574012kb
  • [2024-10-23 00:07:53]
  • 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 DISJOINT_SET_UNION
#define DISJOINT_SET_UNION
// 并查集

struct DSU {
    std::vector<int> fa, sz, st;
    DSU() {}
    DSU(int n) {init(n);}
    void init(int n) {
        fa.resize(n);
        std::iota(fa.begin(), fa.end(), 0);
        sz.assign(n, 1);
        st.clear();
    }
    int find(int x) {
        while(x!=fa[x]) {
            x = fa[x] = fa[fa[x]];
        }
        return x;
    }
    bool same(int x, int y) {
        return find(x) == find(y);
    }
    bool merge(int x, int y) {
        x = find(x); y = find(y);
        if(x==y) { return false; }
        if(sz[x]<sz[y]) { std::swap(x,y); }
        sz[x] += sz[y];
        st.push_back(y);
        fa[y] = x;
        return true;
    }
    int get_size(int x) {
        return sz[find(x)];
    }
    void clear() {
        while(!st.empty()) {
            int x = st.back(), p = find(x);
            fa[p] = p; sz[p] = 1;
            fa[x] = x; sz[x] = 1;
            st.pop_back();
        }
    }
};

#endif

#ifndef EULER_LOOP
#define EULER_LOOP

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

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

    void add_edge(int u, int v){
        adj[u][v]++;
        dsu.merge(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 connected(){
        return dsu.get_size(0) == adj.size();
    }

    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 = 1;
//     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{
//         Hash res;
//         std::transform(val.begin(), val.end(), o.val.begin(), res.val.begin(), std::multiplies());
//         return res;
//     }
//     Hash operator+(u64 y)const{
//         Hash res = *this;
//         for(auto&x : res.val) x += y;
//         return res;
//     }
//     Hash operator+(const Hash&o)const{
//         Hash res;
//         std::transform(val.begin(), val.end(), o.val.begin(), res.val.begin(), std::plus());
//         return res;
//     }
//     Hash operator-(u64 y)const{
//         Hash res = *this;
//         for(auto&x : res.val) x -= y;
//         return res;
//     }
//     Hash operator-(const Hash&o)const{
//         Hash res;
//         std::transform(val.begin(), val.end(), o.val.begin(), res.val.begin(), std::minus());
//         return res;
//     }

// };
// // 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());
//         }
//     };
// }


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 = Hash{51, 91};
constexpr int MAXM = 1e6+5;
Hash Mpow[MAXM];

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].val.fill(1ull);
    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=m-1; offset>=0; 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;
            if(A1.size() != B2.size() || A2.size() != B1.size()) continue;
            for(auto[h, x] : A1) fl &= x == B2[h];
            for(auto[h, x] : A2) fl &= x == B1[h];
            // for(auto[h, x] : B1) fl &= x == A2[h];
            // for(auto[h, x] : B2) fl &= x == A1[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++;
                for(auto[h, _] : A2) mpA2[h] = cnt++;
                auto cntAB = cnt;
                // for(auto[h, _] : B2) mpB2[h] = cnt++;
                // for(auto[h, _] : B1) mpB1[h] = cnt++;
                cnt *= 2;
                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(mpA1[a]+cntAB, mpA1[a]);
                    // 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], mpA2[a]+cntAB);
                    g.add_edge(mpA2[a]+cntAB, mpA1[b]+cntAB);
                    // g.add_edge(mpA2[a], mpB1[a]);
                    // g.add_edge(mpB1[a], mpB2[b]);
                    // g.add_edge(mpB2[b], mpA1[b]);
                    pos[mpA2[a]+cntAB] = a;
                    pos[mpA1[b]+cntAB] = b;
                    // pos[mpB1[a]] = a;
                    // pos[mpB2[b]] = b;
                    Hash ab = b + a * Mpow[m-offset];
                    segB[ab].push_back(i);
                }
                if(!g.connected()) continue;
                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;
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 19276kb

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: 1012ms
memory: 19288kb

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: 313ms
memory: 19296kb

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: 334ms
memory: 19504kb

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

result:

ok 500000 cases (500000 test cases)

Test #5:

score: 0
Accepted
time: 211ms
memory: 19268kb

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: 211ms
memory: 19292kb

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

result:

ok 333333 cases (333333 test cases)

Test #7:

score: 0
Accepted
time: 190ms
memory: 19336kb

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: 187ms
memory: 19432kb

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 4 3 2 
1 4 3 2 
-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: 189ms
memory: 19500kb

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: 162ms
memory: 19268kb

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: 216ms
memory: 19300kb

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: 120ms
memory: 19224kb

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: 110ms
memory: 19488kb

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: 105ms
memory: 19292kb

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: 116ms
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: 102ms
memory: 19424kb

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: 88ms
memory: 19324kb

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: 102ms
memory: 19424kb

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: 91ms
memory: 19336kb

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: 88ms
memory: 19264kb

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: 81ms
memory: 19228kb

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: 77ms
memory: 19284kb

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: 63ms
memory: 19280kb

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: 55ms
memory: 19344kb

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: 49ms
memory: 19300kb

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: 631ms
memory: 19508kb

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

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 411ms
memory: 19292kb

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

result:

ok 166666 cases (166666 test cases)

Test #28:

score: 0
Accepted
time: 624ms
memory: 19440kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1098ms
memory: 19316kb

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:

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 205ms
memory: 19224kb

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: 332ms
memory: 19244kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 304ms
memory: 50972kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 424ms
memory: 312956kb

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:

499991 499866 498525 498457 498260 496933 495491 494842 494375 493501 493115 492497 492204 490868 489944 489764 489661 488352 488313 487502 487124 486923 486296 485970 485436 484731 484126 483465 483125 482911 482775 481698 481571 481016 479127 476750 476536 474978 474340 473577 472741 472559 471908...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 669ms
memory: 571000kb

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:

999988 999963 999856 999852 999826 999794 999765 999711 999687 999663 999654 999609 999604 999585 999576 999522 999500 999494 999448 999413 999411 999379 999374 999322 999320 999319 999317 999274 999267 999195 999183 999095 999063 999058 999057 999053 999036 999027 999020 998933 998904 998898 998893...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 138ms
memory: 51420kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

1 2 
2 1 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 100ms
memory: 52252kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 173ms
memory: 52704kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

267 61 69 821 395 50 209 668 463 223 860 384 707 224 812 853 636 180 588 427 200 836 921 909 499 912 749 983 297 642 987 724 601 404 492 332 615 282 103 94 124 966 801 202 161 376 211 562 665 559 149 259 584 772 993 950 178 690 717 793 256 359 906 229 974 425 331 117 804 479 472 618 72 215 406 218 2...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 585ms
memory: 313484kb

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:

499066 498969 497712 497237 496954 496236 495510 494390 494307 492631 492429 491498 490655 490455 489343 488104 487821 487124 486560 486384 486379 486103 484028 483982 482770 481605 481371 479746 478333 477560 477232 474545 473921 472554 471527 471476 468242 467231 466588 464847 464354 462940 462842...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 684ms
memory: 574012kb

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:

999997 999974 999969 999962 999912 999865 999846 999827 999819 999735 999687 999677 999667 999645 999627 999621 999573 999568 999567 999566 999565 999562 999526 999518 999508 999498 999496 999472 999434 999427 999421 999380 999314 999293 999278 999262 999251 999220 999202 999195 999165 999099 999081...

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 227ms
memory: 51532kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 95ms
memory: 52108kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 320ms
memory: 50980kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 451ms
memory: 312932kb

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:

499244 499239 496370 495621 493509 493163 492304 491230 490868 488027 487676 485907 484892 484727 483190 481567 480681 480510 479083 478590 478522 477943 477458 477103 476558 476108 475660 475388 475384 473911 473372 473321 473095 472992 472728 472453 472111 472055 471952 471002 470944 469969 469962...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 679ms
memory: 571288kb

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:

999999 999989 999958 999925 999924 999868 999864 999814 999808 999803 999769 999736 999641 999608 999588 999569 999475 999474 999448 999419 999413 999386 999353 999344 999332 999309 999257 999231 999224 999188 999180 999127 999064 998982 998964 998919 998888 998885 998830 998821 998809 998792 998788...

result:

ok 1 cases (1 test case)

Test #45:

score: 0
Accepted
time: 484ms
memory: 250172kb

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:

15912 41108 87321 24373 16132 63153 17693 27889 51602 1959 21540 70410 34 90849 35353 4970 34850 99141 76190 99483 34604 30152 87454 89825 93631 86148 96626 10654 24074 84773 26805 36839 52945 82262 13659 16568 10028 38726 58143 33535 25448 88203 41367 815 40660 51763 88599 45084 2359 70724 59307 91...

result:

ok 1 cases (1 test case)

Test #46:

score: 0
Accepted
time: 727ms
memory: 236644kb

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:

54740 63382 41608 42523 55290 3287 2 52698 961 61727 78095 10720 99598 4172 26210 25615 56104 94708 50282 89878 31573 88041 26419 67093 48108 13816 54707 20618 61998 27498 17215 33757 19798 38329 44114 91880 46962 39905 37517 28885 79358 23417 68424 11264 74531 38063 28865 10958 31441 67555 18476 78...

result:

ok 1 cases (1 test case)

Test #47:

score: 0
Accepted
time: 256ms
memory: 122568kb

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: 0
Accepted
time: 3513ms
memory: 236652kb

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:

18085 80276 61906 12500 69454 55648 26486 20116 50568 25375 75513 71053 33641 18239 96889 62258 49438 45104 82936 78398 15018 2037 85764 79124 21979 98284 80302 70399 5913 71621 29496 28448 5899 94058 69683 60276 38581 34006 22613 10064 18577 19083 90551 81100 46082 6174 44785 29173 23698 13864 1363...

result:

ok 1 cases (1 test case)

Test #49:

score: 0
Accepted
time: 258ms
memory: 122636kb

input:

1
200000 5
rdaxv
rqwti
srbck
qdtal
ltoxk
ughkh
sywke
cigmu
fioqb
gnycn
cexck
tcekr
byyqn
cgokp
ausjo
ubsgq
sxouf
xxvnu
drjqw
nvaul
ashzf
scexc
ueyta
ryyny
xotaf
prjgo
hjfrk
alqrp
zggry
xrivg
wislr
lzygn
lleum
utbzq
dzbpn
kmkvp
bacqh
kdfik
xaqru
aeeem
otmht
exrjh
poyfh
rgggk
mhbof
kqyzm
czill
oygax
c...

output:

-1

result:

ok 1 cases (1 test case)

Test #50:

score: 0
Accepted
time: 233ms
memory: 51656kb

input:

1
2 500000
tossrwlzkdzzrphwvvnkmdevslssgacszrojwkxgorcupejhwfybmoyegfhulclkqadmdjpfccnbxhsumeffzhfowyhxqqpdrjguansbqlyuglodfwxjphusmwlevcmpjfcbrjbmdbsqovuljaxqfeorcmgjsbwxappqwsuacmjtyhjubdjyevglxpkektgumdrvtwkuzdiyznzactijqouerxfqatzcwjqserfliiqihufyinagdbqglcnqttlhkebmezdjcfvdcmcjgqhygbxmvzndqnywm...

output:

-1

result:

ok 1 cases (1 test case)

Test #51:

score: 0
Accepted
time: 145ms
memory: 52300kb

input:

1
1 1000000
aqfomtfebdjjikpwsgohpqhvbrasmasgmocifvxczotxorlguxtriaftafotynozikgxytfzuztzapeayssibygltogshsbfwlfcqzbfkleizodgzztxzaysqtsvokwictzyehplvlkpucyizyrcimlczpucivarsihznzqmkjyuhajkgasakdeechddnrezbboozngkyxrjkzfgdlzjewmzhfwmfzguwukeeaambyszysderzrbbbdraxbdpqrurmztoepgptyjtbnrwpyntoagemsfeari...

output:

-1

result:

ok 1 cases (1 test case)

Test #52:

score: 0
Accepted
time: 587ms
memory: 322580kb

input:

1
100000 10
kxlhbmfknl
mldtlbegjo
roglqswqdz
fkcfeioyrf
varxnuxhyk
yputtwlqnj
qjfqxkpbug
thnarwcjpt
oqfpxygtat
hagzhuqeem
bwnnbeweqg
semgcubiaz
zoomamfsyb
lhocxkgyvp
nzqeqkhpes
hhhqaraqjq
mdcgqoqgbp
gvsxjqnvjv
sfkoamvaor
sngtozdbrc
yrhpdcfhhf
eptkmcorhi
hwszrfyvqr
xemzcudvkz
rjklevonsv
vnpmsgqdcb
sy...

output:

21361 3359 10917 49857 158 37534 86984 23413 70548 92243 78668 22568 67756 4745 75706 54291 33714 83521 30154 27591 42535 47892 34618 1849 44633 549 89613 64748 88946 82598 48731 53675 77358 12403 8257 37193 33979 10077 52380 5410 28605 51277 94501 57898 78444 59548 65311 49330 59698 99815 4899 9742...

result:

ok 1 cases (1 test case)

Test #53:

score: 0
Accepted
time: 380ms
memory: 108460kb

input:

1
100000 10
dplijbwkgs
yigahsojnn
ftafmnroiu
gklxajdgis
lkkiioljfz
mkckxjukta
rwxjqmbddd
opvmalbpzl
ngobvwffjt
ziszyyrvkb
hxjvrmnlnm
pcytdvmvcb
jyzqhxxzpd
ykfcpnynxt
tqfqojtyoc
cyphatoadm
nsibkreiqr
sjujphkbwv
wdccnduvvj
gefgntmint
qodiytabxc
vpeltdzowm
fppmxjflkq
vhohdpiocs
vuudozaxuh
uoonxsqeko
iq...

output:

-1

result:

ok 1 cases (1 test case)

Test #54:

score: 0
Accepted
time: 553ms
memory: 320468kb

input:

1
100000 10
qyjclrjhcv
hrexdepsrh
drbmgtcoed
twbslhlapq
tocwgicnrn
ndudcbqcoz
eunlkqeugj
ictesjwnlv
ukatawfiji
dktfpbehwi
yggzqhuccl
oznogatwir
efcduoftki
ojyrolvatq
fkpbtdwpmj
lliymvqkws
taqnrqowtg
uzfiimgmkz
lmavtcmajn
hagghgkdro
eprquadsxn
ztmzpejqea
vzitenazyw
nhcbbtdnuu
frafncvjoy
javzrcwaus
ap...

output:

15367 84810 9558 64587 93905 91916 28223 7054 24555 69033 24639 72204 7839 9594 37483 9427 43635 91046 73360 39597 24903 90681 76131 78484 54261 16261 12767 68074 88097 8685 80387 77977 89948 59760 37358 80559 97034 3166 1160 75602 88113 58791 65682 95656 40908 75078 33956 88961 42929 18606 82130 44...

result:

ok 1 cases (1 test case)

Test #55:

score: 0
Accepted
time: 366ms
memory: 107408kb

input:

1
100000 10
sypalllczm
fyvwvgicyp
jqomdiqcfp
aeaaztogli
imxeiuthuk
ydkrfpfmft
udmkztmwfe
ohyczkizug
fzjyyniywg
itrowixklc
tussdfceqf
evpuvluxpg
iluimcnpco
olstppvixo
dvdpowweue
hxiodpcvjl
xhflfalebb
vpfsjldkqf
dfjslcblpv
dzfptmeyqv
rvgrnefzaj
illzbltjxb
xbbdvyufbw
frovlztkno
gsylowileo
zasbhsaiku
rw...

output:

-1

result:

ok 1 cases (1 test case)

Test #56:

score: 0
Accepted
time: 621ms
memory: 322456kb

input:

1
100000 10
jghpqhzbwn
khmnmmjces
evcbszdsee
cpedxvljuc
bijisgizio
lwybtheziw
azeowrjbes
bvcakdyowl
hqrgrmdxkv
latrynwkve
zbwrfmlfzl
bwsrqcxufw
mlxgssthvv
tbnlrnnagy
fumhlmrrsc
klisexvqbh
fuhiznqnbs
gydnvmatzs
kddgnpybzt
lqtposlfrf
teyereqlki
phffqzyxsk
zivoiupzye
fhyewkrofw
vmhqdpsznj
kkfzikuoop
fd...

output:

25118 53699 59009 90610 74938 45937 58039 9473 65294 5829 64853 20565 6064 34587 91147 79782 70016 50662 27240 56452 84090 52095 85292 647 96400 98959 6636 96741 55018 3617 52030 14251 65267 36031 33987 9629 33605 56285 17300 57147 72164 79260 51613 74100 82767 36492 83276 56329 27769 93018 43447 75...

result:

ok 1 cases (1 test case)

Test #57:

score: 0
Accepted
time: 558ms
memory: 320384kb

input:

1
100000 10
ajdomreiyg
awhziinfwu
gtqxnxstjq
acgalthnvc
rlnbmtemxi
ouqfgtxjel
zrpqnultuj
ajpfxgstzw
ugccienqit
cgyjlqfkma
fvvzhsruhh
xzvtqxdzfx
bzklilivkt
vracwjjijn
pijsxthpiv
sloandhcmh
uezrrpwwrp
qizguxpvwx
fgfwudmpmw
zmddapzqly
fvxavrqcax
pstjlrahls
zaewasovpv
wxbnphincw
bcauhtuzyg
svvtswoswv
sy...

output:

89896 64365 89301 55785 71474 93299 57400 45231 92559 92476 53671 39377 72517 9966 46684 49342 14620 65066 30088 11119 9277 51435 6376 85040 53843 96565 35446 67660 57131 79710 36124 74218 88729 43750 51790 13999 99814 81402 58826 76398 10926 56389 94219 72222 3059 70606 10826 37128 5174 60198 30223...

result:

ok 1 cases (1 test case)

Test #58:

score: 0
Accepted
time: 477ms
memory: 224808kb

input:

1
100000 10
otqeflvutp
ktjpzyjlbe
utqhsjbhxi
jmmcfrwiml
vfxvqrdzdk
aenkvqbzpo
bfdzgohawd
vdsqzihcsw
jicioserdw
eberxkmhko
vsmxkcsymw
aunqxqooio
fuserissyp
powkmizyqg
pklrsxredz
kvwierqibi
wrzusyeiou
odjaxqedqv
xxntmrkafl
wkgkolzgdv
jxwmcpjiya
pxyhhfzjsh
ewcjkdaymm
taklqmzazs
mwvlhirbzn
lfzultiztz
sn...

output:

811 49265 42800 80594 7718 68852 49769 38773 58756 54625 16240 33405 47611 81232 98573 3148 57952 42459 80374 53355 17901 24298 19409 64734 23156 37246 94236 85681 32333 90627 32605 25285 27081 51545 56153 19679 25791 26167 34837 39583 4796 48166 23508 54274 20471 56125 64903 30418 81130 43293 51571...

result:

ok 1 cases (1 test case)

Test #59:

score: 0
Accepted
time: 389ms
memory: 108248kb

input:

1
100000 10
uxfboqjiml
urguovogte
hlfrgfwgkz
lnaljmgocb
cbkdynsxzg
jfggokuktr
fgeeeayprq
glgeqdexax
ccwqbwaake
pexvcckyid
rjvzlorehp
jwrolcaeqq
pwftjauyxv
dtblxopysv
pmvikikgse
pldtousdqo
tgenvzvdnr
payixpmmjr
urkthfeotj
pqomqonmqf
wsnfwcbqce
ynjhtrkmcg
nqjuozngbr
ombhjkloow
fxbwspocpf
ovcbrjolwn
yn...

output:

-1

result:

ok 1 cases (1 test case)

Test #60:

score: 0
Accepted
time: 586ms
memory: 283436kb

input:

1
100000 10
ipzgqbnfvd
sgfrlagntk
gwwweijzea
fxpgdtxgti
waobttsufl
nrdslhdkxf
ssrwruilxq
pdglmfvowa
azjbrlhzff
pchtakzdkl
ajsqpedcoy
pjsukcypln
fiognbhmxj
agpmnzvnms
ikdnsabypt
zaotlspbvj
nummgjsshd
mtteglneuy
eopvrvdxtb
nuwnziuqyv
pmqxpafghb
krwuxxunvh
dnumirddbi
oyiyooimqd
zmlwgndkny
ybxqktsjpq
kv...

output:

-1

result:

ok 1 cases (1 test case)

Test #61:

score: 0
Accepted
time: 491ms
memory: 224768kb

input:

1
100000 10
vhntzmzfjq
lpkanhwnma
hnshcjeytm
rroumhwnmt
jeweevjgqp
bsegdybxio
rwtjvtvlko
fmpcrdsdes
edijyqpurg
zghldxztvl
xbcsrduzmx
tguxmkqcfz
bajotxtuii
zsfgpkokbg
xrgnvbpctc
clxyepehzt
veudydfurf
mavbkeurwo
nfmwtnwspx
uahthuvvxc
vdaadmfinf
kyhxwovgtv
jnqppwnuvt
hiepfckmpa
oxrklvvyof
iintishepc
eq...

output:

61541 23951 87919 43438 91260 4493 57252 46523 82269 69781 48004 81663 4397 56674 94261 45400 34112 22816 18674 46193 99381 60286 38602 80391 43775 9889 57429 30103 80962 79482 12358 96424 76038 52998 88393 39705 91289 87828 83252 26505 96887 79175 79727 38260 33306 73465 61180 27477 97922 16624 855...

result:

ok 1 cases (1 test case)

Test #62:

score: 0
Accepted
time: 597ms
memory: 320560kb

input:

1
100000 10
uudwzdlejj
ivabpznlij
uqnmtxmmgg
ntzanognix
qdgoodcnun
pekrqklkez
eejprmjekr
pwblriymwp
rievkuhrez
npbdnosxjq
eoeicddyic
hotgqnlmge
iygqxwlogm
pnsgildmtr
rqkpassked
qpsqosjzsm
phxkunmotd
oohtwpcpli
ejeiosheqn
rzrjlvpkfa
ynajbomlnb
awxowbwzxx
hfajxtyefh
ulxeladiwo
mroseowqdn
fszffsdlmi
lm...

output:

38789 96618 30246 48569 40007 11313 78573 91888 50194 17977 7801 25134 79416 53828 47620 22811 21376 67597 12310 31608 19519 70702 73922 16979 63891 4374 85700 35002 20929 55467 11381 57947 75933 47033 15275 86876 23427 65683 24555 24403 78281 22416 48193 5154 75805 75582 68171 67400 96361 99160 614...

result:

ok 1 cases (1 test case)

Test #63:

score: 0
Accepted
time: 360ms
memory: 108248kb

input:

1
100000 10
akvvptzhlm
ukqiqwgjxr
raftyctsec
tljopwxqgm
odkoyjszvv
vuuxpzuwty
vugkbhgrbq
mghdhtbdmh
cmlrrcpkrj
fropiipnog
fippflholr
hxvyifxfhi
dstwpsdbxl
zekzumxmnr
qywqzyxvln
jacdvjvczu
dpmjugphun
hhrhfdjzkx
jfwnfjfokw
ygziaihrgd
ybrhjiwfaj
nketysvhiu
sydarvrsdv
zlhwpjkvmc
ynaolmsimg
tgjfocrgba
kh...

output:

-1

result:

ok 1 cases (1 test case)

Extra Test:

score: -3
Extra Test Failed : Wrong Answer on 5
time: 3ms
memory: 19320kb

input:

1
1 2112
abbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabb...

output:

1 
1 

result:

wrong answer not cyclic isomorphism (test case 1)