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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#667488#7686. The Phantom MenacelamkappaWA 3707ms573660kbC++2011.8kb2024-10-22 23:32:562024-10-22 23:32:57

Judging History

你现在查看的是最新测评结果

  • [2024-10-22 23:32:57]
  • 评测
  • 测评结果:WA
  • 用时:3707ms
  • 内存:573660kb
  • [2024-10-22 23:32:56]
  • 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 = 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, 1007};
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] = {1, 1};
    for(int i=1; i<MAXM; i++){
        Mpow[i] = Mpow[i-1] * M;
    }

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

        for(int offset=0; offset<m; offset++){
            A1.clear(); A2.clear(); B1.clear(); B2.clear();
            // hash_table<Hash, int> A1, A2, B1, B2;
            for(int i=0; i<n; i++){
                Hash a = hA[i][offset];
                Hash b = hA[i][m] - hA[i][offset] * Mpow[m-offset];
                A1[a]++; A2[b]++;
                // B1[b]++; B2[a]++;
            }
            for(int i=0; i<n; i++){
                Hash a = hB[i][m-offset];
                Hash b = hB[i][m] - hB[i][m-offset] * Mpow[offset];
                // A1[b]++; A2[a]++;
                B1[a]++; B2[b]++;
            }
            bool fl = true;
            for(auto[h, x] : A1) fl &= x == B2[h];
            for(auto[h, x] : A2) fl &= x == B1[h];
            // for(auto[h, x] : A1) fl &= (x % 2 == 0) && x == B2[h];
            // for(auto[h, x] : A2) fl &= (x % 2 == 0) && x == B1[h];
            // for(auto[h, x] : B1) fl &= (x % 2 == 0);
            // for(auto[h, x] : B2) fl &= (x % 2 == 0);
            if(fl){
                mpA1.clear(), mpA2.clear(), mpB1.clear(), mpB2.clear();
                // hash_table<Hash, int> mpA1, mpA2, mpB1, mpB2;
                int cnt = 0;
                for(auto[h, _] : A1) mpA1[h] = cnt++;
                // auto cnt1 = cnt;
                for(auto[h, _] : A2) mpA2[h] = cnt++;
                auto cntAB = cnt;
                for(auto[h, _] : B1) mpB1[h] = cnt++;
                // auto cnt2 = cnt;
                for(auto[h, _] : B2) mpB2[h] = cnt++;
                EulerLoop g(cnt);
                hash_table<int, Hash> pos;
                hash_table<Hash, vector<int>> segA, segB;
                for(int i=0; i<n; i++){
                    Hash a = hA[i][offset];
                    Hash b = hA[i][m] - hA[i][offset] * Mpow[m-offset];
                    g.add_edge(mpB2[a], mpA1[a]);
                    g.add_edge(mpA1[a], mpA2[b]);
                    // g.add_edge(mpA2[b], mpB1[b]);
                    pos[mpA1[a]] = a;
                    pos[mpA2[b]] = b;
                    Hash ab = b + a * Mpow[m-offset];
                    segA[ab].push_back(i);
                }
                for(int i=0; i<n; i++){
                    Hash a = hB[i][m-offset];
                    Hash b = hB[i][m] - hB[i][m-offset] * Mpow[offset];
                    g.add_edge(mpA2[a], mpB1[a]);
                    g.add_edge(mpB1[a], mpB2[b]);
                    // g.add_edge(mpB2[b], mpA1[b]);
                    pos[mpB1[a]] = a;
                    pos[mpB2[b]] = b;
                    Hash ab = b + a * Mpow[m-offset];
                    segB[ab].push_back(i);
                }
                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;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 19216kb

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: 1005ms
memory: 19292kb

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: 300ms
memory: 19424kb

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: 333ms
memory: 19292kb

input:

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

output:

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

result:

ok 500000 cases (500000 test cases)

Test #5:

score: 0
Accepted
time: 201ms
memory: 19272kb

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: 233ms
memory: 19296kb

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: 181ms
memory: 19496kb

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: 213ms
memory: 19284kb

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: 167ms
memory: 19220kb

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: 189ms
memory: 19336kb

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: 204ms
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: 132ms
memory: 19284kb

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: 160ms
memory: 19220kb

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: 124ms
memory: 19340kb

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: 135ms
memory: 19488kb

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: 111ms
memory: 19272kb

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: 109ms
memory: 19220kb

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: 118ms
memory: 19268kb

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: 96ms
memory: 19296kb

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: 99ms
memory: 19200kb

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: 86ms
memory: 19220kb

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: 86ms
memory: 19268kb

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: 19296kb

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: 58ms
memory: 19292kb

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: 51ms
memory: 19268kb

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: 620ms
memory: 19340kb

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

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 403ms
memory: 19200kb

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 
2 1 
2 1 
1 2 
2 1 
1 2 
1 2 
-1
1 2 
1 2 
1 2 
2 1 
2 1 
1 2 
-1
-1
-1
-1
2 1 
2 1 
-1
2 1 
2 1 
1 2 
1 2 
-1
1 2 
2 1 
2 1 
1 2 
1 2 
2 1 
1 2 
1 2 
1 2 
2 1 
1 2 
1 2 
1 2 
1 2 
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: 623ms
memory: 19288kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1152ms
memory: 19524kb

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:

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 207ms
memory: 19272kb

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: 346ms
memory: 19240kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 303ms
memory: 51112kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 514ms
memory: 313068kb

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:

499649 498851 498758 498716 498411 497660 497563 497535 497348 497213 494751 494520 493808 493597 492826 492046 491047 489917 489581 488982 488929 488730 485406 485387 484911 483448 483309 482781 482306 481537 481501 480635 480513 480461 479216 478081 475356 474847 474236 473600 472323 471071 468982...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 632ms
memory: 573452kb

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:

999924 999894 999874 999840 999823 999820 999751 999726 999689 999688 999679 999646 999631 999603 999590 999572 999548 999520 999519 999514 999512 999479 999436 999373 999366 999362 999338 999265 999250 999228 999215 999138 999118 999107 998943 998939 998917 998891 998880 998853 998802 998779 998744...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 101ms
memory: 51664kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

1 2 
2 1 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 69ms
memory: 52248kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 149ms
memory: 52716kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

195 565 383 47 868 46 910 125 897 51 949 648 477 574 706 184 621 87 589 646 513 757 997 535 185 24 792 807 233 596 813 529 720 850 361 718 274 971 653 663 771 424 334 607 88 339 267 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 7...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 506ms
memory: 313656kb

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:

498692 498643 498422 497601 497433 495890 495822 495771 495146 494826 494105 493600 493192 493045 493040 491501 491021 490788 489946 488539 488416 488145 488014 487421 487333 485652 485219 485041 484644 484631 483989 483244 481398 477936 477829 477099 476915 475919 475065 474622 474234 473845 473360...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 651ms
memory: 573660kb

input:

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

output:

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

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 237ms
memory: 51720kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 65ms
memory: 52260kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 310ms
memory: 50980kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 507ms
memory: 312980kb

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:

499984 497715 494332 493900 493473 493283 492558 491951 491760 490983 490784 489957 489659 489410 489208 489129 488922 488423 487193 486482 484379 484358 483478 482958 482728 482421 481937 481495 481285 481173 480909 480872 480633 480280 479089 478791 477793 477195 476769 476672 475822 475503 474030...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 626ms
memory: 571396kb

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:

999960 999937 999917 999877 999862 999847 999843 999841 999832 999827 999764 999761 999725 999706 999616 999551 999447 999441 999433 999427 999403 999391 999378 999326 999306 999302 999211 999204 999145 999139 999107 999101 999083 999066 999065 999036 999031 999027 999008 998942 998931 998928 998904...

result:

ok 1 cases (1 test case)

Test #45:

score: 0
Accepted
time: 682ms
memory: 262496kb

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:

75001 43957 9092 83447 22104 81648 34352 15393 40218 9770 19435 90260 19188 14379 13320 3708 99290 31286 72925 264 90789 77377 38168 40182 79974 27577 55654 35552 34775 90252 3476 21343 8048 2999 61325 14495 89316 17538 83279 54086 95878 35092 52298 18579 71310 32375 25187 42569 42701 54864 92197 73...

result:

ok 1 cases (1 test case)

Test #46:

score: 0
Accepted
time: 479ms
memory: 244920kb

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:

58347 14887 33613 82950 32083 23165 80675 16739 63671 49142 89554 95313 23599 27823 47259 71283 24942 42951 96928 83321 37885 61414 29502 58063 55298 79098 59850 86257 2406 5375 98505 64800 56990 99497 22258 48116 13450 14096 91003 60407 84215 85295 90659 4785 19799 49595 5028 55400 75234 76894 3330...

result:

ok 1 cases (1 test case)

Test #47:

score: 0
Accepted
time: 248ms
memory: 162172kb

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: 3707ms
memory: 235936kb

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:

87284 72822 66829 90510 61261 27393 2973 52113 66785 18528 66934 43603 16919 38876 30887 28913 82195 37683 4031 27120 35436 96012 33884 82756 16592 79612 59811 48261 11768 80590 62848 61032 31670 91792 89726 67973 78331 40525 99205 75203 32817 22608 18327 42688 57090 98822 87176 57392 68303 27605 96...

result:

ok 1 cases (1 test case)

Test #49:

score: 0
Accepted
time: 280ms
memory: 158032kb

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: 246ms
memory: 51708kb

input:

1
2 500000
tossrwlzkdzzrphwvvnkmdevslssgacszrojwkxgorcupejhwfybmoyegfhulclkqadmdjpfccnbxhsumeffzhfowyhxqqpdrjguansbqlyuglodfwxjphusmwlevcmpjfcbrjbmdbsqovuljaxqfeorcmgjsbwxappqwsuacmjtyhjubdjyevglxpkektgumdrvtwkuzdiyznzactijqouerxfqatzcwjqserfliiqihufyinagdbqglcnqttlhkebmezdjcfvdcmcjgqhygbxmvzndqnywm...

output:

-1

result:

ok 1 cases (1 test case)

Test #51:

score: 0
Accepted
time: 139ms
memory: 52172kb

input:

1
1 1000000
aqfomtfebdjjikpwsgohpqhvbrasmasgmocifvxczotxorlguxtriaftafotynozikgxytfzuztzapeayssibygltogshsbfwlfcqzbfkleizodgzztxzaysqtsvokwictzyehplvlkpucyizyrcimlczpucivarsihznzqmkjyuhajkgasakdeechddnrezbboozngkyxrjkzfgdlzjewmzhfwmfzguwukeeaambyszysderzrbbbdraxbdpqrurmztoepgptyjtbnrwpyntoagemsfeari...

output:

-1

result:

ok 1 cases (1 test case)

Test #52:

score: 0
Accepted
time: 626ms
memory: 340984kb

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:

44463 3795 48114 61867 96651 4369 31009 87442 45285 86251 27766 9106 20623 75872 77534 88107 22041 19533 84039 53650 1165 59257 41993 82781 57261 87638 79517 39049 26562 94118 83843 77650 43011 85720 71106 59036 62641 31390 9152 71139 48228 41794 78199 97515 51593 72122 39185 76052 52121 84022 14844...

result:

ok 1 cases (1 test case)

Test #53:

score: 0
Accepted
time: 377ms
memory: 144056kb

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: 670ms
memory: 336692kb

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:

7962 46352 69929 23067 51608 94637 81112 56338 95674 97220 99634 49857 76561 88893 87696 39660 96219 46267 16173 26765 62978 56451 81846 98245 60517 76228 74643 86433 68782 28484 79302 64083 10157 87249 7489 8059 92201 95210 3976 38105 92422 35249 75037 84621 34911 85876 84308 80816 38565 82688 6790...

result:

ok 1 cases (1 test case)

Test #55:

score: 0
Accepted
time: 383ms
memory: 144052kb

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: 602ms
memory: 338968kb

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:

86128 22404 97980 45597 39423 1058 89736 3012 21223 98161 26546 15570 61475 93987 10879 12129 58858 52860 26331 30021 94359 67976 78064 413 26817 74886 37528 12735 25720 88029 36917 33600 62709 65238 51230 41761 81139 26083 71987 42074 43238 71151 80988 92497 65428 65973 26695 4460 58848 40236 34926...

result:

ok 1 cases (1 test case)

Test #57:

score: 0
Accepted
time: 663ms
memory: 336764kb

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:

51260 28476 98398 95223 80782 25499 36621 45455 58788 69186 50267 73075 40935 7081 32048 20995 50472 58364 37974 68819 86590 65336 91264 65906 42684 1542 58792 97485 68827 98675 5035 17973 53924 18629 77687 99351 47850 5999 40429 25901 15011 95884 22995 39416 36625 76334 6016 27447 26647 17665 36227...

result:

ok 1 cases (1 test case)

Test #58:

score: 0
Accepted
time: 785ms
memory: 245136kb

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:

84224 1562 83351 83762 20854 25840 33068 103 6805 74220 28016 52565 77880 76967 94375 23534 39728 85989 11515 30725 64037 33706 74965 54998 37981 55861 18460 1536 83290 83675 41318 40301 25256 53211 4850 42313 34525 14812 78818 73481 38162 11460 9005 86072 7172 15623 55976 1672 40683 89632 8412 3390...

result:

ok 1 cases (1 test case)

Test #59:

score: 0
Accepted
time: 390ms
memory: 142044kb

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: 650ms
memory: 299656kb

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: 786ms
memory: 245072kb

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:

45852 51816 10413 14013 705 93712 99784 80873 306 94470 316 9730 42219 42995 83307 84704 51328 8883 67080 86827 17059 74112 92174 44073 12137 5357 15550 3759 16983 58624 9819 38344 13590 42419 75366 80162 82357 69082 15393 88551 52837 96571 72250 79131 76496 38803 37591 97571 11693 7481 26968 12920 ...

result:

ok 1 cases (1 test case)

Test #62:

score: 0
Accepted
time: 649ms
memory: 336772kb

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:

7768 4308 3968 75419 91409 14685 44837 92651 50562 35952 68597 26062 71293 61821 92492 98798 47125 54901 11645 33475 90992 54065 69645 78587 20421 61333 79475 96674 29867 31319 91697 58742 98305 21512 49225 81371 67714 93082 56571 51671 40505 55849 30036 83515 23786 4928 55081 99597 77475 24293 6380...

result:

ok 1 cases (1 test case)

Test #63:

score: 0
Accepted
time: 383ms
memory: 144060kb

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: 19372kb

input:

1
1 2112
abbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbaabbabaabbaababbabaababbaabbabaababbabaabbaababbabaababbaabbabaabbaababbaabbabaababbabaabbaababbabaababbaabbabaababbabaabbaababbaabb...

output:

1 
1 

result:

wrong answer not cyclic isomorphism (test case 1)