// while (clock()<=69*CLOCKS_PER_SEC) // #pragma comment(linker, "/stack:200000000") // #pragma GCC optimize("O3") // #pragma GCC target ("avx2") // #pragma GCC optimize("Ofast") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") // #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #define sim template <class c #define ris return *this #define dor > debug &operator<< #define eni(x) \ sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<(c i) \ { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c *x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef XOX ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair<b, c> d) { ris << "" << d.first << " --> " << d.second << ""; } sim dor(rge<c> d) { *this << "["; for(auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c &) { ris; } #endif } ; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #ifdef XOX #warning Times may differ!!! #endif #define endl '\n' #define pb emplace_back #define vt vector #define rep(i, a, b) for(int i = a; i < (b); ++i) #define all(x) begin(x), end(x) #define sz(x) (int)(x).size() typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; const int nax = 1e6, mod = 1e9 + 7; int main() { cin.tie(0)->sync_with_stdio(0); int n, m; cin >> n >> m; if(n == m && n == 1) { cout << 1 << endl; exit(0); } int kk = 0; vt<int> par(2); for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { cerr << ((i + j) % 2) << " "; } cerr << endl; } for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { char c; cin >> c; if(c == 'O') { par[(i + j) % 2]++; } } } debug() << imie(par); vt<vt<char>> g(n + 1, vt<char>(m + 1)); for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { cin >> g[i][j]; if(g[i][j] == 'O') { kk++; par[(i + j) % 2]--; } } } debug() << imie(par); if(par[0] % 2 || par[1] % 2) { cout << 0 << endl; exit(0); } vt<int> dx{0, 0, +1, -1}, dy{+1, -1, 0, 0}; int ruch = 0; auto ing = [&](int x, int y) { return (1 <= x && x <= n && 1 <= y && y <= m); }; for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { for(int k = 0; k < 4; k++) { if(g[i][j] == '.') { continue; } auto [hx, hy] = make_pair(i + dx[k], j + dy[k]); if(ing(hx, hy) && g[hx][hy] == '.') { ruch++; } } } } if(ruch == 0) { cout << 1 << endl; exit(0); } auto po = [&](int n, int k) { long double res = 1; for(int i = 1; i <= n; i++) { res *= i; } for(int i = 1; i <= k; i++) { res /= i; } for(int i = 1; i <= n - k; i++) { res /= i; } return res; }; long double ret = ruch; debug() << imie(ret); debug() << imie(po(n * m - 2, kk - 1)); ret /= po(n * m - 2, kk - 1); debug() << imie(ret); ret /= (n * (m - 1) + m * (n - 1)); debug() << imie(ret); cout << fixed << setprecision(15) << ret << endl; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 | // while (clock()<=69*CLOCKS_PER_SEC) // #pragma comment(linker, "/stack:200000000") // #pragma GCC optimize("O3") // #pragma GCC target ("avx2") // #pragma GCC optimize("Ofast") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") // #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #define sim template <class c #define ris return *this #define dor > debug &operator<< #define eni(x) \ sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<(c i) \ { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c *x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef XOX ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair<b, c> d) { ris << "" << d.first << " --> " << d.second << ""; } sim dor(rge<c> d) { *this << "["; for(auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c &) { ris; } #endif } ; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #ifdef XOX #warning Times may differ!!! #endif #define endl '\n' #define pb emplace_back #define vt vector #define rep(i, a, b) for(int i = a; i < (b); ++i) #define all(x) begin(x), end(x) #define sz(x) (int)(x).size() typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; const int nax = 1e6, mod = 1e9 + 7; int main() { cin.tie(0)->sync_with_stdio(0); int n, m; cin >> n >> m; if(n == m && n == 1) { cout << 1 << endl; exit(0); } int kk = 0; vt<int> par(2); for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { cerr << ((i + j) % 2) << " "; } cerr << endl; } for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { char c; cin >> c; if(c == 'O') { par[(i + j) % 2]++; } } } debug() << imie(par); vt<vt<char>> g(n + 1, vt<char>(m + 1)); for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { cin >> g[i][j]; if(g[i][j] == 'O') { kk++; par[(i + j) % 2]--; } } } debug() << imie(par); if(par[0] % 2 || par[1] % 2) { cout << 0 << endl; exit(0); } vt<int> dx{0, 0, +1, -1}, dy{+1, -1, 0, 0}; int ruch = 0; auto ing = [&](int x, int y) { return (1 <= x && x <= n && 1 <= y && y <= m); }; for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) { for(int k = 0; k < 4; k++) { if(g[i][j] == '.') { continue; } auto [hx, hy] = make_pair(i + dx[k], j + dy[k]); if(ing(hx, hy) && g[hx][hy] == '.') { ruch++; } } } } if(ruch == 0) { cout << 1 << endl; exit(0); } auto po = [&](int n, int k) { long double res = 1; for(int i = 1; i <= n; i++) { res *= i; } for(int i = 1; i <= k; i++) { res /= i; } for(int i = 1; i <= n - k; i++) { res /= i; } return res; }; long double ret = ruch; debug() << imie(ret); debug() << imie(po(n * m - 2, kk - 1)); ret /= po(n * m - 2, kk - 1); debug() << imie(ret); ret /= (n * (m - 1) + m * (n - 1)); debug() << imie(ret); cout << fixed << setprecision(15) << ret << endl; } |