Submission #416749

#TimeUsernameProblemLanguageResultExecution timeMemory
416749SirCovidThe19thOsmosmjerka (COCI17_osmosmjerka)C++14
160 / 160
2276 ms108048 KiB
#include <bits/stdc++.h> using namespace std; #define ll long long #define f first #define s second const ll p = 419, m1 = 1e9+7, m2 = 1e9+9; int di[8] = {0, 0, -1, 1, -1, -1, 1, 1}, dj[8] = {-1, 1, 0, 0, -1, 1, 1, -1}; ll bpow(ll a, ll b, ll mod){ if (b == 0) return 1; ll res = bpow(a, b/2, mod)%mod; if (b%2 == 1) return (((res*res)%mod)*a)%mod; else return (res*res)%mod; } int main() { ll n, m, k; cin >> n >> m >> k; k = min(n*m, k); string grid[n]; map<pair<ll, ll>, ll> eq; for (int i = 0; i < n; i++) cin >> grid[i]; for (int d = 0; d < 8; d++){ pair<ll, ll> vals[n][m][(int)floor(log2(k))+1], res[n][m]; ll cnt = k; memset(res, 0, sizeof(res)); for (int l = 0; (1<<l) <= k; l++){ ll currPow1 = bpow(p, (1<<(l-1)), m1), currPow2 = bpow(p, (1<<(l-1)), m2); for (int i = 0; i < n; i++){ for (int j = 0; j < m; j++){ if (l == 0) {vals[i][j][l] = {(grid[i][j]-'a'+1), (grid[i][j]-'a'+1)}; continue;} int r = (i+((1<<(l-1))*di[d])+INT_MAX*n)%n, c = (j+((1<<(l-1))*dj[d])+INT_MAX*m)%m; vals[i][j][l] = {(vals[i][j][l-1].f+vals[r][c][l-1].f*currPow1)%m1, (vals[i][j][l-1].s+vals[r][c][l-1].s*currPow2)%m2}; } } if ((k>>l)%2 == 1){ cnt -= (1<<l); ll upd1 = bpow(p, cnt, m1), upd2 = bpow(p, cnt, m2); for (int i = 0; i < n; i++){ for (int j = 0; j < m; j++){ int r = (i+(cnt*di[d])+INT_MAX*n)%n, c = (j+(cnt*dj[d])+INT_MAX*m)%m; res[i][j] = {(res[i][j].f+vals[r][c][l].f*upd1)%m1, (res[i][j].s+vals[r][c][l].s*upd2)%m2}; } } } } for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) eq[res[i][j]]++; } ll good = 0, tot = (ll)(n*m*8)*(n*m*8); for (auto elem : eq) good += elem.s*elem.s; ll div = __gcd(good, tot); cout<<good/div<<"/"<<tot/div; }
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