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#374095#7686. The Phantom Menacearnold518WA 511ms593600kbC++174.5kb2024-04-02 11:40:202024-04-02 11:40:20

Judging History

你现在查看的是最新测评结果

  • [2024-10-08 14:11:03]
  • hack成功,自动添加数据
  • (/hack/941)
  • [2024-10-08 10:05:28]
  • hack成功,自动添加数据
  • (/hack/940)
  • [2024-10-07 19:51:15]
  • hack成功,自动添加数据
  • (/hack/938)
  • [2024-10-07 19:28:01]
  • hack成功,自动添加数据
  • (/hack/937)
  • [2024-10-07 17:16:32]
  • hack成功,自动添加数据
  • (/hack/936)
  • [2024-10-07 16:53:09]
  • hack成功,自动添加数据
  • (/hack/935)
  • [2024-10-07 16:22:17]
  • hack成功,自动添加数据
  • (/hack/934)
  • [2024-04-02 11:40:20]
  • 评测
  • 测评结果:WA
  • 用时:511ms
  • 内存:593600kb
  • [2024-04-02 11:40:20]
  • 提交

answer

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

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 2e6;

const int MOD = 998244353;
struct mint
{
    int x;
    mint() : x(0) {}
    mint(int _x) : x(_x) {}
    mint operator + (int ot) const { return x+ot>=MOD ? x+ot-MOD : x+ot; }
    mint operator - () const { return x ? MOD-x : 0; }
    mint operator - (int ot) const { return x<ot ? x+MOD-ot : x-ot; }
    mint operator * (int ot) const { return 1ll*x*ot%MOD; }
    mint operator += (int ot) { return *this = *this + ot; }
    mint operator -= (int ot) { return *this = *this - ot; }
    mint operator *= (int ot) { return *this = *this * ot; }
    operator int() const { return x; }
    bool operator < (int ot) const { return x<ot; }
    bool operator == (int ot) const { return x==ot; }
};
const mint P = 37;

int TC, N, M;
string A[MAXN+10], B[MAXN+10];
vector<mint> PA[MAXN+10], QA[MAXN+10];
vector<mint> PB[MAXN+10], QB[MAXN+10];

vector<pii> adj[MAXN+10];
vector<int> ans;
int deg[MAXN+10];

void dfs(int now)
{
    while(!adj[now].empty())
    {
        pii nxt=adj[now].back();
        adj[now].pop_back();
        dfs(nxt.first);
        ans.push_back(nxt.second);
    }
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(NULL);

    cin>>TC;
    while(TC--)
    {
        cin>>N>>M;
        for(int i=1; i<=N; i++) cin>>A[i], A[i]="?"+A[i];
        for(int i=1; i<=N; i++) cin>>B[i], B[i]="?"+B[i];

        for(int i=1; i<=N; i++)
        {
            PA[i]=vector<mint>(M+2);
            QA[i]=vector<mint>(M+2);

            mint val=1;
            for(int j=1; j<=M; j++)
            {
                val*=P;
                PA[i][j]=PA[i][j-1]+val*(A[i][j]-'a'+1);
            }
            for(int j=M; j>=1; j--)
            {
                QA[i][j]=(QA[i][j+1]+(A[i][j]-'a'+1))*P;
            }
        }
        for(int i=1; i<=N; i++)
        {
            PB[i]=vector<mint>(M+2);
            QB[i]=vector<mint>(M+2);

            mint val=1;
            for(int j=1; j<=M; j++)
            {
                val*=P;
                PB[i][j]=PB[i][j-1]+val*(B[i][j]-'a'+1);
            }
            for(int j=M; j>=1; j--)
            {
                QB[i][j]=(QB[i][j+1]+(B[i][j]-'a'+1))*P;
            }
        }

        bool flag2=false;
        for(int i=0; i<M; i++)
        {
            vector<mint> VA, VB;
            for(int j=1; j<=N; j++)
            {
                VA.push_back(PA[j][i]);
                VB.push_back(QA[j][i+1]);
            }
            sort(VA.begin(), VA.end());
            sort(VB.begin(), VB.end());
            VA.erase(unique(VA.begin(), VA.end()), VA.end());
            VB.erase(unique(VB.begin(), VB.end()), VB.end());

            bool flag=true;
            for(int j=1; j<=N; j++)
            {
                if(!binary_search(VA.begin(), VA.end(), QB[j][M-i+1])) { flag=false; break; }
                if(!binary_search(VB.begin(), VB.end(), PB[j][M-i])) { flag=false; break; }
            }
            if(!flag) continue;

            for(int j=1; j<=N; j++)
            {
                int v=(lower_bound(VA.begin(), VA.end(), QB[j][M-i+1])-VA.begin())+1;
                int u=(lower_bound(VB.begin(), VB.end(), PB[j][M-i])-VB.begin())+VA.size()+1;
                adj[u].push_back({v, -j});
                deg[u]++; deg[v]--;
            }
            for(int j=1; j<=N; j++)
            {
                int u=(lower_bound(VA.begin(), VA.end(), PA[j][i])-VA.begin())+1;
                int v=(lower_bound(VB.begin(), VB.end(), QA[j][i+1])-VB.begin())+VA.size()+1;
                adj[u].push_back({v, j});
                deg[u]++; deg[v]--;
            }

            for(int j=1; j<=N+N; j++) if(deg[j]!=0) flag=false;
            for(int j=1; j<=N+N; j++) deg[j]=0;
            if(!flag)
            {
                for(int j=1; j<=N+N; j++) adj[j].clear();
                continue;
            }

            dfs(1);
            for(int j=1; j<=N+N; j++) adj[j].clear();
            if(ans.size()!=N+N)
            {
                ans.clear();
                continue;
            }

            flag2=true;
            reverse(ans.begin(), ans.end());
            for(auto it : ans) if(it>0) cout<<it<<" "; cout<<"\n";
            for(auto it : ans) if(it<0) cout<<-it<<" "; cout<<"\n";
            ans.clear();
            break;
        }
        if(!flag2) cout<<"-1\n";
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 31ms
memory: 363692kb

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: 433ms
memory: 364044kb

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: 230ms
memory: 363524kb

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: 309ms
memory: 365028kb

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: 193ms
memory: 364500kb

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: 271ms
memory: 363324kb

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
3 2 1 
1 3 2 
-1
-1
-1
-1
-1
-1
-1
-1
-1
3 2 1 
3 2 1 
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
3 2 1 
3 1 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: 161ms
memory: 364028kb

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: 252ms
memory: 363288kb

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
4 3 2 1 
4 3 2 1 
-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: 149ms
memory: 363340kb

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: 258ms
memory: 363808kb

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: 195ms
memory: 364352kb

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: 158ms
memory: 363432kb

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: 176ms
memory: 364856kb

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: 172ms
memory: 364916kb

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: 196ms
memory: 364616kb

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: 160ms
memory: 363848kb

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: 195ms
memory: 363232kb

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: 221ms
memory: 364532kb

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: 169ms
memory: 363240kb

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: 159ms
memory: 364764kb

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: 165ms
memory: 364824kb

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: 173ms
memory: 362952kb

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: 128ms
memory: 363600kb

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: 125ms
memory: 363264kb

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: 131ms
memory: 363836kb

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: 238ms
memory: 362944kb

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 
2 1 
1 2 
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 
2 1 
2 1 
-1
2 1 
1 2 
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: 192ms
memory: 363992kb

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:

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

result:

ok 166666 cases (166666 test cases)

Test #28:

score: 0
Accepted
time: 231ms
memory: 364172kb

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

result:

ok 166666 cases (166666 test cases)

Test #29:

score: 0
Accepted
time: 419ms
memory: 363892kb

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

result:

ok 125000 cases (125000 test cases)

Test #30:

score: 0
Accepted
time: 146ms
memory: 364976kb

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: 154ms
memory: 364156kb

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

result:

ok 28571 cases (28571 test cases)

Test #32:

score: 0
Accepted
time: 146ms
memory: 381128kb

input:

1
1000 1000
plxpgukngtaywjrcxufvdwswaozxzeeduaeqslxuzcevplzosuqsedbplkmzbpyogbndbzmyfeyqamtetcjmaosbaxcrmjanjeglavxlwksvvenehzgrovffaebdtpynzajedywisavqgjjtjnqktzltyfzbvrtsfmdkzsyougzyqcckjcjjtkewysagddaizqnnptunmfyqagnxrzjqpsoqzqptzvjnfilpbgmjbetcgnewclwqxmftpepudwufcmbqtpyxajfmabqyvlgqxzhgumauzxms...

output:

-1

result:

ok 1 cases (1 test case)

Test #33:

score: 0
Accepted
time: 422ms
memory: 491096kb

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:

499985 499960 499961 499988 499991 499936 499976 499975 499922 499990 499980 499918 499959 499998 499993 499999 499863 499984 499983 499965 499986 499909 499964 499839 499932 499966 499866 499949 499989 499859 499940 499968 499951 499852 499994 499972 499948 499917 499938 499970 499848 499979 499894...

result:

ok 1 cases (1 test case)

Test #34:

score: 0
Accepted
time: 511ms
memory: 593600kb

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 999999 999998 999997 999996 999995 999994 999993 999992 999991 999990 999989 999988 999987 999986 999985 999984 999983 999982 999981 999980 999979 999978 999977 999976 999975 999974 999973 999972 999971 999970 999969 999968 999967 999966 999965 999964 999963 999962 999961 999960 999959 99995...

result:

ok 1 cases (1 test case)

Test #35:

score: 0
Accepted
time: 97ms
memory: 381352kb

input:

1
2 500000
yoskytdthibiosryionvxhjbnvwyrumjrmogzlngtxwkyxpketeperfdqboobxcccofgoxsjjffgdymvbhrnmcfiresutjbeadpbwuyxbirokynuisiezakhyivnbelkoexbfertmmmpjyerxyrnxvseyyipjqexidomwdzwqgqopwvnguawlvdyqgpsoxuliobzndxyfondeygqyxujboqcmqmwlptkpxflccjwfbzvwjkmddqxuenqirajuqplwjfyumjycekqzgavjrpanuxixmwlmnnvv...

output:

1 2 
2 1 

result:

ok 1 cases (1 test case)

Test #36:

score: 0
Accepted
time: 80ms
memory: 383104kb

input:

1
1 1000000
vvzoohphaekmooymvzpvxqaxbgyabgrgrdetsieivthqtvackeaapshmaybrwivlzjtjymeqmjqjoioeknzlajdqeptnywzscjthxqahapfnktonvxbyridjhokyielyfuzzgciiulnuetgfmdppmpywhoouwbbwyhlufupqwkhjubvkplfbzxiegngnewwfpupzypskuhtopvqzczthyaxpepvbkhvitkxgopxprykcrbjnuiideigftkhgzpykkoijuiquebxaaiwaabuxssgqgsofmiid...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #37:

score: 0
Accepted
time: 107ms
memory: 380932kb

input:

1
1000 1000
nnnaamfktzgakyenqodpbujtlowzoloijjqorpyvgfbujjivqhgrvcsuajhkfnxfrtrrhfanoutnxetnhowuknugksqgbtpyixedmyepfgyluqjvgadnsosbevsprmupvmymsmohjpimcbgkrybnnlrgqewddkotengibpfdpfqbehofyslubivwusaxzjnbbuczjponsogapfzqnshokuerpwuewcedjmtykebmibjanhyfhvuieexfxijacmpkqatvctadngmkuefrfqthukhywwqllwwy...

output:

816 135 338 77 380 277 459 678 609 617 899 870 877 774 1000 471 445 27 235 658 826 245 953 982 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 5...

result:

ok 1 cases (1 test case)

Test #38:

score: 0
Accepted
time: 283ms
memory: 480044kb

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:

500000 499999 499998 499997 499996 499995 499994 499993 499992 499991 499990 499989 499988 499987 499986 499985 499984 499983 499982 499981 499980 499979 499978 499977 499976 499975 499974 499973 499972 499971 499970 499969 499968 499967 499966 499965 499964 499963 499962 499961 499960 499959 499958...

result:

ok 1 cases (1 test case)

Test #39:

score: 0
Accepted
time: 434ms
memory: 593136kb

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:

1000000 999999 999998 999997 999996 999995 999994 999993 999992 999991 999990 999989 999988 999987 999986 999985 999984 999983 999982 999981 999980 999979 999978 999977 999976 999975 999974 999973 999972 999971 999970 999969 999968 999967 999966 999965 999964 999963 999962 999961 999960 999959 99995...

result:

ok 1 cases (1 test case)

Test #40:

score: 0
Accepted
time: 119ms
memory: 381776kb

input:

1
2 500000
csbazestpjffzjvrjztjidouhfewitwyhczwalacmlfmfpjozlnojeeltcyjkgbwpnzhzdeeublvjcgepkupvlqxhzkjfudcojhtxsrndyipgsuexhdjxodymiofmaxdkhsyallmorhqdrosgvzwvsgobotbwlwnqvohekjougktqmjaknocgtumjjvmtphfnoqrsrfgztpufvtnafmhmmcpxkrjyokgrlvaswhkkxfxguuakezavqkbkvnhjpycgvrsefranfttvrfnoaeempqhlsdzwtrvf...

output:

-1

result:

ok 1 cases (1 test case)

Test #41:

score: 0
Accepted
time: 89ms
memory: 383896kb

input:

1
1 1000000
zcgzehvspliuqlawrvemmxvlapmqsnpdieaqubpadgbsduckarfgikvmcphtdjtgczbfuivcjhpmwgaxoqvbmwldxvqwtcqizfyvxoahqcuyyvdgxzsohnkjblrwuyietchhqusxamzculyvhaqzoftboauhkdxnpxuxbljmftjtyrczfxxsbwkvzhehmwkhvbkjmnuypbjgibszsdtocihfzwuvdpvszccyroufgktzfytdkcrneuvelrcoufxvmxajvhlnikzfemppharjuwicizqodvrj...

output:

1 
1 

result:

ok 1 cases (1 test case)

Test #42:

score: 0
Accepted
time: 135ms
memory: 382700kb

input:

1
1000 1000
vkrkwbibcsuczrgypnuclsmvexjomqttgzmpebzbtmtltqyekywmlpmluwwmjjybbnztlxthcphhfayjjegghgyuippcrweyyzgjfnzemamafgtexvhxofarelxdoptwfohqrnjepcpxzkoepuluocahihxhqipydaiermnrbxjpkeundrirpdcalvbjyhhdazarjuwepzaiafcmbaxqlfqcnbzvlamfwgpqoutqvwhilaqswbqzvohiayenlifowexxzvuxrldswlfpjugwozxwzpxeqtkb...

output:

-1

result:

ok 1 cases (1 test case)

Test #43:

score: 0
Accepted
time: 397ms
memory: 490876kb

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:

499991 499959 499997 499995 499989 499984 499996 499949 499998 499988 500000 499967 499976 499977 499983 499973 499961 499987 499908 499975 499868 499994 499945 499902 499969 499892 499972 499990 499971 499960 499946 499965 499986 499982 499979 499939 499950 499992 499968 499980 499944 499900 499928...

result:

ok 1 cases (1 test case)

Test #44:

score: 0
Accepted
time: 459ms
memory: 593396kb

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:

1000000 999999 999998 999997 999996 999995 999994 999993 999992 999991 999990 999989 999988 999987 999986 999985 999984 999983 999982 999981 999980 999979 999978 999977 999976 999975 999974 999973 999972 999971 999970 999969 999968 999967 999966 999965 999964 999963 999962 999961 999960 999959 99995...

result:

ok 1 cases (1 test case)

Test #45:

score: -100
Wrong Answer
time: 268ms
memory: 400892kb

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:

29042 70850 30795 50905 83399 36357 52069 65632 24271 33595 52563 72728 5133 89154 55855 1381 96102 23592 60112 71113 33693 73270 96129 91792 6828 15823 31408 73021 20560 37476 44182 99793 29896 30292 56458 17699 9612 72777 61098 36514 80956 82501 32248 67898 51363 57221 19526 37313 39349 85927 2158...

result:

wrong answer not cyclic isomorphism (test case 1)