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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
#667459#7686. The Phantom MenacelamkappaTL 1100ms573764kbC++2010.5kb2024-10-22 23:13:592024-10-22 23:14:00

Judging History

你现在查看的是最新测评结果

  • [2024-10-22 23:14:00]
  • 评测
  • 测评结果:TL
  • 用时:1100ms
  • 内存:573764kb
  • [2024-10-22 23:13:59]
  • 提交

answer

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

#ifndef STL_PBDS
#define STL_PBDS

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

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

Itr ::point_iterator

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

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

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

Itr ::point_iterator    可以指定为nullptr

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

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

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

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

V_T& operaotr[](K_T)    映射
*/


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

#endif

#ifndef EULER_LOOP
#define EULER_LOOP

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

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

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

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

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

#endif


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

    hash val;

    Hash() : val({0ull, 0ull}) {}

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

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

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

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

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

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

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


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

        NEXT_CASE:;
    }

    
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 19220kb

input:

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

output:

2 1 3 
3 1 2 
-1

result:

ok 2 cases (2 test cases)

Test #2:

score: 0
Accepted
time: 930ms
memory: 19272kb

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: 317ms
memory: 19488kb

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: 338ms
memory: 19340kb

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: 244ms
memory: 19212kb

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: 235ms
memory: 19216kb

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: 201ms
memory: 19208kb

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: 204ms
memory: 19212kb

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: 173ms
memory: 19336kb

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: 19252kb

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: 221ms
memory: 19440kb

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: 171ms
memory: 19268kb

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: 166ms
memory: 19256kb

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: 140ms
memory: 19512kb

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: 143ms
memory: 19276kb

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: 116ms
memory: 19444kb

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: 116ms
memory: 19312kb

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: 129ms
memory: 19440kb

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: 105ms
memory: 19224kb

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: 103ms
memory: 19268kb

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: 93ms
memory: 19488kb

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: 92ms
memory: 19272kb

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: 64ms
memory: 19316kb

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: 59ms
memory: 19344kb

input:

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

output:

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

result:

ok 15873 cases (15873 test cases)

Test #25:

score: 0
Accepted
time: 53ms
memory: 19320kb

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: 624ms
memory: 19336kb

input:

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

output:

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

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 437ms
memory: 19176kb

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 
2 1 
1 2 
2 1 
2 1 
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 
2 1 
2 1 
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: 635ms
memory: 19500kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1100ms
memory: 19332kb

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 233ms
memory: 19488kb

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: 19520kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 278ms
memory: 51128kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 460ms
memory: 311760kb

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:

497970 499294 498938 498885 496119 495154 492834 492787 489046 488901 486562 484540 484454 483556 483298 482695 482038 481871 480913 480124 479660 479078 477307 476753 476101 472843 472677 471881 470749 470058 469675 468692 467646 467384 466555 466171 464547 463089 463030 461685 461194 461098 460008...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 614ms
memory: 571120kb

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:

1000000 999996 999967 999966 999951 999942 999926 999914 999913 999910 999878 999854 999818 999773 999745 999739 999736 999723 999710 999707 999677 999675 999652 999618 999563 999543 999518 999496 999492 999490 999489 999482 999453 999428 999396 999355 999336 999292 999177 999140 999129 999125 99912...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 125ms
memory: 51752kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

2 1 
1 2 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 88ms
memory: 52184kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 151ms
memory: 52700kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

658 826 245 953 982 30 358 217 883 721 410 118 311 844 959 927 36 496 527 866 561 355 127 49 896 878 454 390 303 940 377 300 951 474 975 564 226 391 422 675 150 977 598 295 451 948 400 549 580 270 571 929 667 638 276 681 16 500 833 498 592 272 872 670 264 469 886 538 418 576 154 838 491 456 315 420 ...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 356ms
memory: 313776kb

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:

499879 498231 497551 497432 497229 495767 495415 494255 494111 493244 492705 492452 492448 491248 491213 490877 490746 490035 489442 489414 489320 488132 487918 486372 486058 484939 484884 484599 484270 482903 480197 480057 479956 478289 477686 477210 476763 476296 476285 475573 474944 473910 471545...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 624ms
memory: 573764kb

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:

999966 999881 999874 999845 999825 999822 999809 999791 999786 999746 999741 999719 999705 999698 999689 999662 999657 999580 999571 999545 999514 999497 999485 999482 999311 999301 999244 999180 999149 999086 999038 999019 998996 998961 998953 998944 998910 998902 998894 998874 998858 998853 998799...

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 306ms
memory: 51740kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 77ms
memory: 52192kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 291ms
memory: 51064kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 446ms
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:

499937 499911 499825 499301 498274 497259 497231 496913 496907 496806 495824 495802 494313 494155 493990 493979 493189 490426 489691 489591 489565 488788 487749 486662 484375 482359 479830 477595 477490 477403 477251 477040 476901 476145 475237 474753 474620 474432 474065 473577 472545 472496 471172...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 577ms
memory: 571732kb

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:

999992 999903 999839 999836 999777 999697 999675 999638 999632 999573 999559 999543 999523 999340 999295 999263 999213 999174 999075 999049 999016 999001 998996 998986 998962 998949 998917 998913 998898 998879 998845 998843 998819 998816 998811 998786 998774 998726 998721 998716 998655 998599 998475...

result:

ok 1 cases (1 test case)

Test #45:

score: 0
Accepted
time: 708ms
memory: 248680kb

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:

22135 35686 54672 4104 466 64087 29891 58743 6664 57199 71255 95854 8012 10248 37883 36623 67418 72838 44019 40727 10456 40292 72052 15745 61662 7799 37312 59149 90905 5390 85779 63714 60855 59140 32807 41536 84973 82599 84769 18729 61392 60407 71948 13462 11639 47827 98817 53851 20872 25738 33524 8...

result:

ok 1 cases (1 test case)

Test #46:

score: 0
Accepted
time: 486ms
memory: 243080kb

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:

17158 41690 25454 25359 40546 241 32887 29330 54235 5439 27320 67678 96465 18389 37103 85239 88984 8175 82174 89310 37361 51069 78685 66834 21782 90092 30838 65786 3834 88505 684 50197 18432 80648 60482 63798 49462 97683 86369 54710 8627 51435 8291 63053 49678 87421 42638 61317 76322 41197 34789 448...

result:

ok 1 cases (1 test case)

Test #47:

score: 0
Accepted
time: 316ms
memory: 162228kb

input:

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

output:

-1

result:

ok 1 cases (1 test case)

Test #48:

score: -100
Time Limit Exceeded

input:

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

output:


result: