Submission #3859795

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Source Code Expand

#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)

#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound

#define sz(x) (int)x.size()
#define beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
const ld PI = 4*atan((ld)1);

template<class T> void ckmin(T &a, T b) { a = min(a, b); }
template<class T> void ckmax(T &a, T b) { a = max(a, b); }

namespace io {
    // TYPE ID (StackOverflow)
    
    template<class T> struct like_array : is_array<T>{};
    template<class T, size_t N> struct like_array<array<T,N>> : true_type{};
    template<class T> struct like_array<vector<T>> : true_type{};
    template<class T> bool is_like_array(const T& a) { return like_array<T>::value; }

    // I/O 
    
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        ios_base::sync_with_stdio(0); cin.tie(0);
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); }
    }
    
    // INPUT 
    
    template<class T> void re(T& x) { cin >> x; }
    template<class Arg, class... Args> void re(Arg& first, Args&... rest);
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);
    
    template<class Arg, class... Args> void re(Arg& first, Args&... rest) { re(first); re(rest...); }
    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
    
    // OUTPUT 
    
    template<class T1, class T2> ostream& operator<<(ostream& os, const pair<T1,T2>& a) {
        os << '{' << a.f << ", " << a.s << '}'; return os;
    }
    template<class T> ostream& printArray(ostream& os, const T& a, int SZ) {
        os << '{';
        F0R(i,SZ) {
            if (i) {
                os << ", ";
                if (is_like_array(a[i])) cout << "\n";
            }
            os << a[i];
        }
        os << '}';
        return os;
    }
    template<class T, size_t SZ> ostream& operator<<(ostream& os, const array<T,SZ>& a) {
        return printArray(os,a,SZ);
    }
    template<class T> ostream& operator<<(ostream& os, const vector<T>& a) {
        return printArray(os,a,sz(a));
    }
    template<class T> ostream& operator<<(ostream& os, const set<T>& a) {
        os << vector<T>(all(a)); return os;
    }
    template<class T1, class T2> ostream& operator<<(ostream& os, const map<T1,T2>& a) {
        os << vector<pair<T1,T2>>(all(a)); return os;
    }
    
    template<class T> void pr(const T& x) { cout << x << '\n'; }
    template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) { 
        cout << first << ' '; pr(rest...); 
    }
}

using namespace io;

namespace modOp {
    int ad(int a, int b, int mod = MOD) { return (a+b)%mod; }
    int sub(int a, int b, int mod = MOD) { return (a-b+mod)%mod; }
    int mul(int a, int b, int mod = MOD) { return (ll)a*b%mod; }
    
    int AD(int& a, int b, int mod = MOD) { return a = ad(a,b,mod); }
    int SUB(int& a, int b, int mod = MOD) { return a = sub(a,b,mod); }
    int MUL(int& a, int b, int mod = MOD) { return a = mul(a,b,mod); }
    
    int po (int b, int p, int mod = MOD) { return !p?1:mul(po(mul(b,b,mod),p/2,mod),p&1?b:1,mod); }
    int inv (int b, int mod = MOD) { return po(b,mod-2,mod); }
    
    int invGeneral(int a, int b) { // 0 < a < b, gcd(a,b) = 1
        if (a == 0) return b == 1 ? 0 : -1;
        int x = invGeneral(b%a,a); 
        return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
    }
}

using namespace modOp;

int H,W;
vector<string> s;
int fac[5];
vi adj[400];
bool vis[400];

int sz = 0;

void dfs(int x) {
    if (vis[x]) return;
    sz ++; vis[x] = 1;
    for (int y: adj[x]) dfs(y);
}

bool eq(string t) {
    string T = t; reverse(all(T));
    return T == t;
}

int solve() {
    int ans = 1; // po(2,H/2+W/2-1)*po(12,(H/2)*(W/2));
    F0R(i,400) vis[i] = 0, adj[i].clear();
    for (int i = 0; i < H-1-i; ++i)
        for (int j = 0; j < W-1-j; ++j) {
            vpi pos;
            pos.pb({i,j});
            pos.pb({H-1-i,j});
            pos.pb({i,W-1-j});
            pos.pb({H-1-i,W-1-j});
            
            map<char,int> oc;
            trav(x,pos) oc[s[x.f][x.s]] ++;
            int t = fac[sz(pos)];
            trav(x,oc) t /= fac[x.s];
            if (t == 24) {
                MUL(ans,12);
                adj[i].pb(j+200), adj[j+200].pb(i);
            } else MUL(ans,t);
        }
        
    F0R(i,H) if (!vis[i]) {
        sz = 0; dfs(i);
        MUL(ans,po(2,sz-1));
    }
    
    if (H&1) {
        if (!eq(s[H/2])) MUL(ans,2);
    }
    if (W&1) {
        string t; F0R(i,H) t += s[i][W/2];
        if (!eq(t)) MUL(ans,2);
    }
    
    return ans;
}

vector<string> revrow(vector<string> a, int b) {
    reverse(all(a[b]));
    return a;
}

vector<string> revcol(vector<string> a, int b) {
    for (int i = 0; i < H-1-i; ++i) swap(a[i][b],a[H-1-i][b]);
    return a;
}

int brute() {
    set<vector<string>> S;
    queue<vector<string>> q; q.push(s); S.insert(s);
    while (sz(q)) {
        auto a = q.front(); q.pop();
        F0R(i,H) {
            auto A = revrow(a,i);
            if (!S.count(A)) {
                S.insert(A);
                q.push(A);
            }
        }
        F0R(j,W) {
            auto A = revcol(a,j);
            if (!S.count(A)) {
                S.insert(A);
                q.push(A);
            }
        }
    }
    return sz(S);
}

int main() {
    // you should actually read the stuff at the bottom
    setIO();
    while (cin >> H >> W) {
        s.resz(H);
        F0R(i,H) re(s[i]);
        fac[0] = 1; FOR(i,1,5) fac[i] = i*fac[i-1];
        pr(solve());
        // pr(H,W,s,solve(),brute());
    }
    // you should actually read the stuff at the bottom
}

/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?), set tle
    * do smth instead of nothing and stay organized
*/

Submission Info

Compile Error

./Main.cpp: In function ‘void io::setIn(std::string)’:
./Main.cpp:67:56: warning: ignoring return value of ‘FILE* freopen(const char*, const char*, FILE*)’, declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                                                        ^
./Main.cpp: In function ‘void io::setOut(std::string)’:
./Main.cpp:68:58: warning: ignoring return value of ‘FILE* freopen(const char*, const char*, FILE*)’, declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                                                          ^

Judge Result