Submission #296847

#TimeUsernameProblemLanguageResultExecution timeMemory
296847HynDufOsmosmjerka (COCI17_osmosmjerka)C++14
120 / 160
385 ms262144 KiB
#include <bits/stdc++.h> #define task "O" #define all(v) (v).begin(), (v).end() #define rep(i, l, r) for (int i = (l); i <= (r); ++i) #define Rep(i, r, l) for (int i = (r); i >= (l); --i) #define DB(X) { cerr << #X << " = " << (X) << '\n'; } #define DB1(A, _) { cerr << #A << "[" << _ << "] = " << (A[_]) << '\n'; } #define DB2(A, _, __) { cerr << #A << "[" << _ << "][" << __ << "] = " << (A[_][__]) << '\n'; } #define DB3(A, _, __, ___) { cerr << #A << "[" << _ << "][" << __ << "][" << ___ << "] = " << (A[_][__][___]) << '\n'; } #define PR(A, l, r) { cerr << '\n'; rep(_, l, r) DB1(A, _); cerr << '\n';} #define SZ(x) ((int)(x).size()) #define pb push_back #define eb emplace_back #define pf push_front #define F first #define S second #define by(x) [](const auto& a, const auto& b) { return a.x < b.x; } // sort(arr, arr + N, by(a)); #define next ___next #define prev ___prev #define y1 ___y1 #define left ___left #define right ___right #define y0 ___y0 #define div ___div #define j0 ___j0 #define jn ___jn using ll = long long; using ld = long double; using ull = unsigned long long; using namespace std; typedef pair<int, int> ii; typedef pair<ii, int> iii; typedef vector<int> vi; typedef vector<ii> vii; typedef vector<ll> vl; const int N = 500, mod1 = 1e9 + 7, mod2 = 1e9 + 123, Base1 = 257, Base2 = 317; int n, m, K, dx[] = {1, 1, 1, 0, 0, -1, -1, -1}, dy[] = {-1, 0, 1, -1, 1, -1, 0, 1}, pw1[30], pw2[30]; ii hs[8][N][N][18]; string s[N]; vii allHash; int main() { #ifdef HynDuf freopen(task".in", "r", stdin); //freopen(task".out", "w", stdout); #else ios_base::sync_with_stdio(false); cin.tie(nullptr); #endif cin >> n >> m >> K; K = min(n * m, K); rep(i, 0, n - 1) cin >> s[i]; pw1[0] = Base1; pw2[0] = Base2; rep(i, 1, 17) pw1[i] = pw1[i - 1] * 1LL * pw1[i - 1] % mod1, pw2[i] = pw2[i - 1] * 1LL * pw2[i - 1] % mod2; rep(dir, 0, 7) rep(i, 0, n - 1) rep(j, 0, m - 1) hs[dir][i][j][0] = {s[i][j], s[i][j]}; rep(mu2, 1, 17) rep(dir, 0, 7) rep(i, 0, n - 1) rep(j, 0, m - 1) { int nx = i + dx[dir] * ((1 << mu2) - 1), ny = j + dy[dir] * ((1 << mu2) - 1); nx = (nx % n + n) % n; ny = (ny % m + m) % m; int nh1 = (hs[dir][i][j][mu2 - 1].F * 1LL * pw1[mu2 - 1] % mod1 + hs[dir][nx][ny][mu2 - 1].F) % mod1; int nh2 = (hs[dir][i][j][mu2 - 1].S * 1LL * pw2[mu2 - 1] % mod2 + hs[dir][nx][ny][mu2 - 1].S) % mod2; hs[dir][i][j][mu2] = {nh1, nh2}; } rep(dir, 0, 7) rep(i, 0, n - 1) rep(j, 0, m - 1) { int h1 = 0, h2 = 0, x = i, y = j, nx = 0, ny = 0; rep(mu2, 0, 17) if (K >> mu2 & 1) { h1 = (h1 * 1LL * pw1[mu2] % mod1 + hs[dir][x][y][mu2].F) % mod1; h2 = (h2 * 1LL * pw2[mu2] % mod2 + hs[dir][x][y][mu2].S) % mod2; nx = x + dx[dir] * (1 << mu2), ny = y + dy[dir] * (1 << mu2); x = (nx % n + n) % n; y = (ny % m + m) % m; } allHash.eb(h1, h2); } sort(all(allHash)); //for (ii v : allHash) cout << "(" << v.F << ", " << v.S << ")\n"; ll num = 0, tot = (n * 1LL * m * 8 * n * m * 8); for (int l = 0, r = 0; l < SZ(allHash); l = r) { while (r < SZ(allHash) && allHash[r] == allHash[l]) r++; num += (r - l) * 1LL * (r - l); } ll g = __gcd(num, tot); cout << (num / g) << '/' << (tot / g); return 0; }
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