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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
#667650#7686. The Phantom MenacelamkappaWA 1108ms574468kbC++2014.6kb2024-10-23 01:29:242024-10-23 01:29:25

Judging History

你现在查看的是最新测评结果

  • [2024-10-23 01:29:25]
  • 评测
  • 测评结果:WA
  • 用时:1108ms
  • 内存:574468kb
  • [2024-10-23 01:29:24]
  • 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

#ifndef STRING_HASH
#define STRING_HASH

using u64 = unsigned long long;
struct SHash{
    static constexpr std::size_t C = 2;
    static constexpr std::array<u64, C> M = {(-1ull),1000000007};
    // Ms = {1000000007,1118872217,122420729,163227661,217636919,
    //       290182597,386910137,515880193,687840301,917120411,
    //       1222827239,1610612741,3221225473ul,4294967291ul
    // };

    std::array<u64, C> val;

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

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

    bool operator==(const SHash&o)const{
        return val == o.val;
    }
    SHash operator*(const SHash&o)const{
        SHash res = *this;
        for(int i=0; i<C; i++){
            res.val[i] *= o.val[i];
            res.val[i] %= M[i];
        }
        return res;
    }
    SHash operator+(u64 y)const{
        SHash res = *this;
        for(auto&x : res.val) x += y;
        return res.norm();
    }
    SHash operator+(const SHash&o)const{
        SHash res;
        std::transform(val.begin(), val.end(), o.val.begin(), res.val.begin(), std::plus());
        return res.norm();
    }
    SHash operator-(u64 y)const{
        SHash res = *this;
        for(int i=0; i<C; i++){
            if(res.val[i] >= y) res.val[i] -= y;
            else res.val[i] += M[i] - y;
        }
        return res;
    }
    SHash operator-(const SHash&o)const{
        SHash res;
        for(int i=0; i<C; i++){
            if(val[i] >= o.val[i]) res.val[i] = val[i] - o.val[i];
            else res.val[i] = val[i] + M[i] - o.val[i];
        }
        return res.norm();
    }
    SHash norm(){
        for(int i=0; i<C; i++){
            if(val[i] >= M[i]) val[i] -= M[i];
        }
        return *this;
    }
};
namespace std {
    template <>
    struct hash<SHash> {
        std::size_t operator()(SHash x)const{
            return std::accumulate(x.val.begin(), x.val.end(), 0, std::bit_xor());
        }
    };
}
static const SHash B = {37, 53};
// Bs = {37, 53, 71, 97, 137, 251, 353, 491, 599, 617, 773, 853, 977, 1009};
constexpr int MAXN = 1000005;
static const std::array<SHash, MAXN+1> Bp = [](){
    std::array<SHash, MAXN+1> Bp;
    Bp[0].val.fill(1ull);
    for(int i=1; i<=MAXN; i++){
        Bp[i] = Bp[i-1] * B;
    }
    return Bp;
}();

#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();

// const SHash M = SHash{51, 91};
// constexpr int MAXM = 1e6+5;
// SHash Bp[MAXM];

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

    // Bp[0].val.fill(1ull);
    // for(int i=1; i<MAXM; i++){
    //     Bp[i] = Bp[i-1] * M;
    // }

    int T; cin >> T;
    while(T--){
        int n, m; cin >> n >> m;
        // if(n == 1 && m == 2112 && T == 0){
        //     cout << "-1\n"; continue;
        // }
        vector hA(n, vector<SHash>(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]*B + (s[j-1])*2);
            }
        }
        for(int i=0; i<n; i++){
            string s; cin >> s;
            for(int j=1; j<=m; j++){
                hB[i][j] = (hB[i][j-1]*B + (s[j-1])*2);
            }
        }

        for(int offset=m-1; offset>=0; offset--){
            A1.clear(); A2.clear(); B1.clear(); B2.clear();
            // hash_table<SHash, int> A1, A2, B1, B2;
            for(int i=0; i<n; i++){
                SHash a = hA[i][offset];
                SHash b = hA[i][m] - hA[i][offset] * Bp[m-offset];
                A1[a]++; A2[b]++;
                // B1[b]++; B2[a]++;
            }
            for(int i=0; i<n; i++){
                SHash a = hB[i][m-offset];
                SHash b = hB[i][m] - hB[i][m-offset] * Bp[offset];
                // A1[b]++; A2[a]++;
                B1[a]++; B2[b]++;
            }
            bool fl = true;
            if(A1.size() != B2.size() || A2.size() != B1.size()) continue;
            for(auto[h, x] : A1) fl &= x == B2[h];
            for(auto[h, x] : A2) fl &= x == B1[h];
            // for(auto[h, x] : B1) fl &= x == A2[h];
            // for(auto[h, x] : B2) fl &= x == A1[h];
            // for(auto[h, x] : A1) fl &= (x % 2 == 0) && x == B2[h];
            // for(auto[h, x] : A2) fl &= (x % 2 == 0) && x == B1[h];
            // for(auto[h, x] : B1) fl &= (x % 2 == 0);
            // for(auto[h, x] : B2) fl &= (x % 2 == 0);
            if(fl){
                mpA1.clear(), mpA2.clear();//, mpB1.clear(), mpB2.clear();
                // hash_table<SHash, int> mpA1, mpA2, mpB1, mpB2;
                int cnt = 0;
                for(auto[h, _] : A1) mpA1[h] = cnt++;
                for(auto[h, _] : A2) mpA2[h] = cnt++;
                auto cntAB = cnt;
                // for(auto[h, _] : B2) mpB2[h] = cnt++;
                // for(auto[h, _] : B1) mpB1[h] = cnt++;
                cnt *= 2;
                EulerLoop g(cnt);
                hash_table<int, SHash> pos;
                hash_table<SHash, vector<int>> segA, segB;
                for(int i=0; i<n; i++){
                    SHash a = hA[i][offset];
                    SHash b = hA[i][m] - hA[i][offset] * Bp[m-offset];
                    g.add_edge(mpA1[a]+cntAB, mpA1[a]);
                    // g.add_edge(mpB2[a], mpA1[a]);
                    g.add_edge(mpA1[a], mpA2[b]);
                    // g.add_edge(mpA2[b], mpB1[b]);
                    pos[mpA1[a]] = a;
                    pos[mpA2[b]] = b;
                    SHash ab = b + a * Bp[m-offset];
                    segA[ab].push_back(i);
                }
                for(int i=0; i<n; i++){
                    SHash a = hB[i][m-offset];
                    SHash b = hB[i][m] - hB[i][m-offset] * Bp[offset];
                    g.add_edge(mpA2[a], mpA2[a]+cntAB);
                    g.add_edge(mpA2[a]+cntAB, mpA1[b]+cntAB);
                    // g.add_edge(mpA2[a], mpB1[a]);
                    // g.add_edge(mpB1[a], mpB2[b]);
                    // g.add_edge(mpB2[b], mpA1[b]);
                    pos[mpA2[a]+cntAB] = a;
                    pos[mpA1[b]+cntAB] = b;
                    // pos[mpB1[a]] = a;
                    // pos[mpB2[b]] = b;
                    SHash ab = b + a * Bp[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);
                        SHash a = pos[x], b = pos[y];
                        SHash ab = b + a * Bp[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);
                        SHash a = pos[x], b = pos[y];
                        SHash ab = b + a * Bp[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: 8ms
memory: 19424kb

input:

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

output:

3 2 1 
2 3 1 
-1

result:

ok 2 cases (2 test cases)

Test #2:

score: 0
Accepted
time: 1010ms
memory: 19336kb

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: 318ms
memory: 19504kb

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: 339ms
memory: 19264kb

input:

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

output:

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

result:

ok 500000 cases (500000 test cases)

Test #5:

score: 0
Accepted
time: 215ms
memory: 19224kb

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: 224ms
memory: 19344kb

input:

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

output:

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

result:

ok 333333 cases (333333 test cases)

Test #7:

score: 0
Accepted
time: 194ms
memory: 19292kb

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: 196ms
memory: 19344kb

input:

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

output:

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

result:

ok 250000 cases (250000 test cases)

Test #9:

score: 0
Accepted
time: 183ms
memory: 19344kb

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: 167ms
memory: 19284kb

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: 213ms
memory: 19436kb

input:

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

output:

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

result:

ok 250000 cases (250000 test cases)

Test #12:

score: 0
Accepted
time: 123ms
memory: 19324kb

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: 121ms
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: 119ms
memory: 19280kb

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: 123ms
memory: 19492kb

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: 110ms
memory: 19224kb

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: 106ms
memory: 19296kb

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: 110ms
memory: 19492kb

input:

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

output:

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

result:

ok 111111 cases (111111 test cases)

Test #19:

score: 0
Accepted
time: 91ms
memory: 19508kb

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: 89ms
memory: 19228kb

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: 90ms
memory: 19492kb

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: 84ms
memory: 19424kb

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: 69ms
memory: 19336kb

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: 68ms
memory: 19208kb

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: 59ms
memory: 19288kb

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: 639ms
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 
2 1 
1 2 
2 1 
2 1 
1 2 
2 1 
2 1 
1 2 
1 2 
1 2 
1 2 
1 2 
1 2 
2 1 
1 2 
1 2 
2 1 
2 1 
2 1 
2 1 
-1
2 1 
2 1 
2 1 
1 2 
1 2 
2 1 
2 1 
1 2 
2 1 
2 1 
-1
2 1 
1 2 
2 1 
1 2 
2 1 
1 2 
2 1 
2 1 
2 1 
2 1 
1 2 
1 2 
-1
1 2 
2 1 
2 1 
1 2 
2 1 
1 2 
2 1 
2 1 
2 1 
1 2...

result:

ok 250000 cases (250000 test cases)

Test #27:

score: 0
Accepted
time: 419ms
memory: 19228kb

input:

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

output:

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

result:

ok 166666 cases (166666 test cases)

Test #28:

score: 0
Accepted
time: 623ms
memory: 19352kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 1108ms
memory: 19316kb

input:

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

output:

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 272ms
memory: 19268kb

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: 291ms
memory: 19356kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 255ms
memory: 51132kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 443ms
memory: 313124kb

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:

499297 499487 499410 498472 498278 498234 496690 496194 496167 496153 494991 494545 494441 494089 491415 491139 490939 490425 489037 488361 487374 484875 484646 484351 484217 483754 483231 483162 483017 479185 477304 476705 476584 476398 475643 473982 473501 472959 472394 472055 471777 471339 470603...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 703ms
memory: 574468kb

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:

999992 999981 999971 999934 999906 999867 999862 999806 999797 999762 999761 999756 999724 999651 999647 999617 999615 999594 999560 999539 999445 999440 999422 999407 999397 999367 999363 999361 999337 999300 999291 999273 999272 999268 999264 999243 999221 999204 999182 999159 999108 999086 999065...

result:

ok 1 cases (1 test case)

Test #35:

score: -100
Wrong Answer
time: 368ms
memory: 51636kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

-1

result:

wrong answer Jury has the answer but participant has not (test case 1)