#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3phCa4T ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// e
//snuke's mod int
template <ll mod>
struct modint{
ll x; // typedef long long ll;
modint(ll x=0):x((x%mod+mod)%mod){}
modint operator-()const{return modint(-x);}
modint& operator+=(const modint a){if((x+=a.x)>=mod) x-=mod; return *this;}
modint& operator-=(const modint a){if((x+=mod-a.x)>=mod) x-=mod; return *this;}
modint& operator*=(const modint a){(x*=a.x)%=mod; return *this;}
modint operator+(const modint a)const{modint res(*this); return res+=a;}
modint operator-(const modint a)const{modint res(*this); return res-=a;}
modint operator*(const modint a)const{modint res(*this); return res*=a;}
modint pow(ll n)const{
modint res=1,x(*this);
while(n){
if(n&1)res*=x;
x*=x;
n>>=1;
}
return res;
}
modint inv()const{return pow(mod-2);}
};
using mi0=modint<1000000007>;
using mi1=modint<805306457>;
const mi0 p0=50331653;
const mi1 p1=10007;
using qii=pair<mi0,mi1>;
const int m=30;
qii spr[m+1][250001];
signed main(){
_3phCa4T;
int h,w,n;
cin>>h>>w>>n;
vec(vec(char)) a(h,vec(char)(w));
rep(i,h){
rep(j,w){
cin>>a[i][j];
}
}
const int di[]={1,1,1,0,-1,-1,-1,0};
const int dj[]={1,0,-1,1,1,0,-1,-1};
auto ok=[&](int i,int j){
return i>=0 and j>=0 and i<h and j<w;
};
vec(mi0) pot0(m+1);
vec(mi1) pot1(m+1);
rep(k,m){
pot0[k]=p0.pow(1<<k);
pot1[k]=p1.pow(1<<k);
}
std::map<pii,int> mp;
rep(dir,8){
rep(i,h){
rep(j,w){
rep(k,m){
spr[k][i*w+j]={0,0};
}
int x=a[i][j]-'a';
spr[0][i*w+j]={x,x};
}
}
rng(k,1,m){
rep(i,h){
rep(j,w){
int ni=i+di[dir]*(1ll<<(k-1)),nj=j+dj[dir]*(1ll<<(k-1));
ni+=h*((1ll<<k)+2);
nj+=w*((1ll<<k)+2);
ni%=h;
nj%=w;
qii q=spr[k-1][i*w+j];
qii nq=spr[k-1][ni*w+nj];
q.fi*=pot0[k-1];
q.se*=pot1[k-1];
q.fi+=nq.fi;
q.se+=nq.se;
spr[k][i*w+j]=q;
}
}
}
rep(si,h){
rep(sj,w){
int i=si,j=sj;
qii q={0,0};
rep(k,m){
if(n>>k&1){
int ni=i+di[dir]*(1ll<<k),nj=j+dj[dir]*(1ll<<k);
ni%=h;
nj%=w;
ni+=h*((1ll<<k)+2);
nj+=w*((1ll<<k)+2);
ni%=h;
nj%=w;
q.fi*=pot0[k];
q.se*=pot1[k];
q.fi+=spr[k][i*w+j].fi;
q.se+=spr[k][i*w+j].se;
i=ni,j=nj;
}
}
mp[pii(q.fi.x,q.se.x)]+=1;
}
}
}
int hi=0,lo=h*w*h*w*64;
for(auto p:mp){
hi+=p.se*p.se;
}
int g=gcd(hi,lo);
hi/=g;
lo/=g;
cout<<hi<<"/"<<lo<<"\n";
}
Compilation message
osmosmjerka.cpp: In function 'int main()':
osmosmjerka.cpp:66:7: warning: variable 'ok' set but not used [-Wunused-but-set-variable]
66 | auto ok=[&](int i,int j){
| ^~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
47 ms |
121548 KB |
Output is correct |
| 2 |
Correct |
48 ms |
121524 KB |
Output is correct |
| 3 |
Correct |
49 ms |
121612 KB |
Output is correct |
| 4 |
Correct |
49 ms |
121676 KB |
Output is correct |
| 5 |
Correct |
56 ms |
121704 KB |
Output is correct |
| 6 |
Correct |
98 ms |
124364 KB |
Output is correct |
| 7 |
Correct |
706 ms |
140700 KB |
Output is correct |
| 8 |
Correct |
2311 ms |
154804 KB |
Output is correct |
