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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#667571#7686. The Phantom MenacelamkappaWA 2357ms534896kbC++2013.5kb2024-10-23 00:17:122024-10-23 00:17:15

Judging History

你现在查看的是最新测评结果

  • [2024-10-23 00:17:15]
  • 评测
  • 测评结果:WA
  • 用时:2357ms
  • 内存:534896kb
  • [2024-10-23 00:17:12]
  • 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 u64 = unsigned 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;
    }

};


// 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])*2);
            }
        }
        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])*2);
            }
        }

        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;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 11448kb

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: 982ms
memory: 11500kb

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: 321ms
memory: 11448kb

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: 321ms
memory: 11408kb

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
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
2 1 
1 2 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
1 2 
1 2 
-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: 235ms
memory: 11660kb

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: 217ms
memory: 11448kb

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

result:

ok 333333 cases (333333 test cases)

Test #7:

score: 0
Accepted
time: 200ms
memory: 11684kb

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: 177ms
memory: 11540kb

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: 174ms
memory: 11472kb

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: 161ms
memory: 11408kb

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: 228ms
memory: 11540kb

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
1 2 
1 2 
-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: 127ms
memory: 11660kb

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: 126ms
memory: 11708kb

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: 103ms
memory: 11660kb

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: 115ms
memory: 11532kb

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: 89ms
memory: 11476kb

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: 92ms
memory: 11400kb

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: 97ms
memory: 11708kb

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: 76ms
memory: 11656kb

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: 82ms
memory: 11684kb

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: 72ms
memory: 11472kb

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: 67ms
memory: 11400kb

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: 41ms
memory: 11416kb

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: 39ms
memory: 11652kb

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: 35ms
memory: 11448kb

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: 709ms
memory: 11476kb

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

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 492ms
memory: 11528kb

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

result:

ok 166666 cases (166666 test cases)

Test #28:

score: 0
Accepted
time: 716ms
memory: 11456kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1132ms
memory: 11724kb

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:

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 233ms
memory: 11472kb

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: 347ms
memory: 11492kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 242ms
memory: 27416kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 206ms
memory: 273720kb

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:

499776 499009 498573 497981 497743 497408 496232 496134 495595 494401 494262 494208 493513 492727 492561 492101 491682 490836 490807 490768 490548 490166 489810 489137 489098 488342 488138 487334 487264 486894 486494 485967 485896 485587 484545 484513 484289 483584 483464 480912 480029 479998 479847...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 414ms
memory: 532176kb

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:

999990 999978 999931 999930 999903 999898 999887 999886 999879 999866 999853 999798 999705 999611 999595 999582 999568 999553 999533 999523 999418 999410 999346 999325 999314 999306 999303 999302 999282 999261 999172 999151 999148 999144 999142 999128 999122 999103 998996 998914 998872 998816 998811...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 174ms
memory: 28256kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

2 1 
1 2 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 108ms
memory: 28576kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 139ms
memory: 29128kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

397 207 20 788 694 503 932 699 969 839 698 970 770 216 815 48 14 206 603 919 201 155 745 42 179 573 967 146 515 368 647 822 652 323 924 783 753 540 942 895 302 480 298 285 960 228 784 253 530 683 956 308 381 522 148 625 299 563 612 891 847 729 99 447 725 575 881 863 439 506 251 8 112 666 605 680 512...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 274ms
memory: 274420kb

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:

498797 498394 498158 495768 494616 493702 490342 490117 489420 489081 489055 488917 488351 487278 486777 486119 485413 485279 484971 483987 483910 483368 482021 481083 480978 479626 479467 479050 478540 478429 478405 477608 477580 477538 476653 476140 474782 474467 473047 472817 472595 472387 472154...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 379ms
memory: 534896kb

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:

999919 999857 999833 999810 999797 999760 999722 999694 999682 999653 999605 999603 999595 999554 999511 999504 999440 999377 999359 999357 999340 999308 999306 999300 999298 999274 999264 999258 999238 999218 999214 999085 999074 999045 999031 999025 999001 998978 998976 998971 998946 998918 998911...

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 279ms
memory: 28216kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 117ms
memory: 28736kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 260ms
memory: 27320kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 209ms
memory: 273688kb

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:

497678 499201 498414 497196 497029 496827 496476 496142 495694 494271 493271 493059 492561 492128 491988 491753 490772 490168 489505 489200 488330 487594 487264 487029 485674 484362 484049 483703 483562 483426 483156 482948 482783 482606 480787 477789 477758 476709 476236 475706 475027 474450 474297...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 376ms
memory: 532388kb

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: 369ms
memory: 201872kb

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:

76166 11459 14676 15073 39788 60188 7194 44643 65610 81427 1941 60352 98545 81268 70412 37343 49739 71641 87332 10481 82537 6950 36972 50279 80824 80225 57647 14787 52956 676 879 63585 44437 65197 5788 13250 89412 98163 60178 28810 35370 20477 84915 29262 62166 38559 96914 21050 26980 72098 99088 45...

result:

ok 1 cases (1 test case)

Test #46:

score: 0
Accepted
time: 547ms
memory: 189688kb

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:

58918 90117 59573 53267 84150 96304 14004 85072 9166 38698 54725 59658 73007 69863 4240 24025 73391 57100 62951 93878 61837 24086 66070 30600 88278 35032 12262 37204 93649 75256 46572 19355 40702 6907 62306 82009 80235 99677 31482 94984 74730 27803 92672 48755 96607 49400 28944 12811 92827 33648 502...

result:

ok 1 cases (1 test case)

Test #47:

score: 0
Accepted
time: 133ms
memory: 83132kb

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: 2357ms
memory: 189360kb

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:

34843 43541 11791 74078 54635 3038 38959 84132 63052 87017 36406 69934 68137 5835 17447 94386 73570 97947 76433 58179 40406 19406 44906 54364 15288 61264 75687 53263 56424 47214 85512 65714 75955 39008 23182 41321 89399 68011 2329 76739 83580 77198 43522 48158 96767 87352 34698 14692 31774 65483 512...

result:

ok 1 cases (1 test case)

Test #49:

score: 0
Accepted
time: 130ms
memory: 83336kb

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: 276ms
memory: 28136kb

input:

1
2 500000
tossrwlzkdzzrphwvvnkmdevslssgacszrojwkxgorcupejhwfybmoyegfhulclkqadmdjpfccnbxhsumeffzhfowyhxqqpdrjguansbqlyuglodfwxjphusmwlevcmpjfcbrjbmdbsqovuljaxqfeorcmgjsbwxappqwsuacmjtyhjubdjyevglxpkektgumdrvtwkuzdiyznzactijqouerxfqatzcwjqserfliiqihufyinagdbqglcnqttlhkebmezdjcfvdcmcjgqhygbxmvzndqnywm...

output:

-1

result:

ok 1 cases (1 test case)

Test #51:

score: 0
Accepted
time: 174ms
memory: 28564kb

input:

1
1 1000000
aqfomtfebdjjikpwsgohpqhvbrasmasgmocifvxczotxorlguxtriaftafotynozikgxytfzuztzapeayssibygltogshsbfwlfcqzbfkleizodgzztxzaysqtsvokwictzyehplvlkpucyizyrcimlczpucivarsihznzqmkjyuhajkgasakdeechddnrezbboozngkyxrjkzfgdlzjewmzhfwmfzguwukeeaambyszysderzrbbbdraxbdpqrurmztoepgptyjtbnrwpyntoagemsfeari...

output:

-1

result:

ok 1 cases (1 test case)

Test #52:

score: 0
Accepted
time: 525ms
memory: 263792kb

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:

21337 81078 1337 98293 55632 60251 75123 26375 57773 61769 26548 85082 85187 16571 50417 56530 10041 26979 25941 42642 47709 71546 29367 53186 15796 19579 16768 20589 81034 54204 10476 49829 70494 46347 40193 16555 83842 17075 18019 15843 2543 32595 82680 86941 63017 77915 80017 24015 86271 51366 45...

result:

ok 1 cases (1 test case)

Test #53:

score: 0
Accepted
time: 352ms
memory: 70012kb

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: 261004kb

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:

5594 88889 45709 46358 84375 55442 8679 33890 85261 49816 2115 50257 40399 5905 84940 46928 75176 19210 7131 43600 15136 21696 27626 30634 91856 82415 88500 18008 81924 66599 43138 36844 95069 22704 34793 85159 74590 85897 12102 5058 83727 86921 98457 98911 40 61652 40705 91719 95814 41291 10607 714...

result:

ok 1 cases (1 test case)

Test #55:

score: 0
Accepted
time: 261ms
memory: 69188kb

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: 589ms
memory: 263968kb

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:

333 20106 35478 49807 14233 67014 205 85902 59297 4167 53645 41405 52099 54093 50911 80405 4892 83228 50597 27397 6622 6178 74215 82771 92698 90548 98169 20691 49833 41131 95390 99901 97547 61101 46032 74211 10511 79900 74103 38639 39171 68288 94402 79952 551 77172 2542 55432 12600 70192 30654 94141...

result:

ok 1 cases (1 test case)

Test #57:

score: 0
Accepted
time: 535ms
memory: 261276kb

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:

49547 77334 37853 54569 79185 29477 31719 39478 39994 27478 43905 97143 14684 71767 69142 44681 68558 60126 22670 92158 84187 40256 13019 43707 78428 64802 89942 75850 38444 39042 76358 65104 39940 42706 28788 52929 88441 93321 74071 2285 57195 21147 71026 90601 27406 52886 57430 38057 55015 35521 9...

result:

ok 1 cases (1 test case)

Test #58:

score: 0
Accepted
time: 399ms
memory: 182592kb

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:

96859 74650 18585 82637 40804 41818 48731 40372 95552 45281 63765 25977 35400 8573 26044 35897 80041 72531 65050 85612 913 94380 26871 24467 57229 2244 80361 31649 9670 90430 43070 79928 32078 20425 23075 12165 76647 25103 80008 44459 76216 39259 86149 17768 93182 44802 46694 74937 92682 8603 41491 ...

result:

ok 1 cases (1 test case)

Test #59:

score: 0
Accepted
time: 320ms
memory: 69960kb

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: 584ms
memory: 223984kb

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: 432ms
memory: 182748kb

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:

9438 17029 5584 8584 72998 90564 88099 96231 65512 81427 88536 14406 4176 83488 71299 35634 93852 88493 7693 306 30929 73312 31519 14440 57357 18857 94789 35774 8927 88961 76649 41735 32132 17968 11460 12237 71532 72950 31927 25072 25270 73663 78918 6643 47920 78490 27807 74615 94879 30905 89256 762...

result:

ok 1 cases (1 test case)

Test #62:

score: 0
Accepted
time: 517ms
memory: 261204kb

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:

59060 7524 10297 12991 56661 1445 78369 95739 17330 50681 55289 60986 57718 98545 35801 17653 76752 88913 36644 56189 74699 60024 25195 89163 37123 38317 87792 99159 86940 48603 86087 20803 50987 20367 51115 97122 65860 78984 32927 84576 3017 89500 6624 46921 88273 8494 45109 93967 92753 20378 33887...

result:

ok 1 cases (1 test case)

Test #63:

score: 0
Accepted
time: 313ms
memory: 70016kb

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: 11456kb

input:

1
1 2112
abbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabb...

output:

1 
1 

result:

wrong answer not cyclic isomorphism (test case 1)