#include <bits/stdc++.h>
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define st first
#define nd second
using namespace std;
#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 LOCAL
~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__) << "] "
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using vi = vector<int>;
using vll = vector<ll>;
int n, m;
vector<string> start_board, end_board;
const int dr[4] = {-1, 0, 1, 0};
const int dc[4] = {0, 1, 0, -1};
ll Choose(int n, int k) {
ll ans = 1;
for (int i = 0; i < k; ++i) {
ans *= n - i;
ans /= i + 1;
}
return ans;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(6);
cin >> n >> m;
auto ReadBoard = [&](vector<string> &board) {
board.resize(n);
for (string &line : board) { cin >> line; }
};
auto GetParity = [&](const vector<string> &board) {
int parity = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
if (board[i][j] == 'O') {
parity = (parity + i + j) % 2;
}
}
}
return parity;
};
ReadBoard(start_board);
ReadBoard(end_board);
const int parity_start = GetParity(start_board);
if (GetParity(end_board) != parity_start) {
cout << "0\n";
return 0;
}
int num_pieces = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
if (start_board[i][j] == 'O') { ++num_pieces; }
}
}
ll sum_degrees = Choose(n * m - 2, num_pieces - 1);
sum_degrees *= (n * (m - 1) + m * (n - 1));
int end_degree = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
if (end_board[i][j] != 'O') { continue; }
for (int d = 0; d < 4; ++d) {
const int ni = i + dr[d];
const int nj = j + dc[d];
if (ni < 0 || nj < 0 || ni >= n || nj >= m) { continue; }
if (end_board[ni][nj] != '.') { continue; }
++end_degree;
}
}
}
cout << (long double)end_degree / sum_degrees << "\n";
}
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 | #include <bits/stdc++.h> #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)(x).size()) #define st first #define nd second using namespace std; #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 LOCAL ~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__) << "] " using ll = long long; using pii = pair<int,int>; using pll = pair<ll,ll>; using vi = vector<int>; using vll = vector<ll>; int n, m; vector<string> start_board, end_board; const int dr[4] = {-1, 0, 1, 0}; const int dc[4] = {0, 1, 0, -1}; ll Choose(int n, int k) { ll ans = 1; for (int i = 0; i < k; ++i) { ans *= n - i; ans /= i + 1; } return ans; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(15); cerr << fixed << setprecision(6); cin >> n >> m; auto ReadBoard = [&](vector<string> &board) { board.resize(n); for (string &line : board) { cin >> line; } }; auto GetParity = [&](const vector<string> &board) { int parity = 0; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (board[i][j] == 'O') { parity = (parity + i + j) % 2; } } } return parity; }; ReadBoard(start_board); ReadBoard(end_board); const int parity_start = GetParity(start_board); if (GetParity(end_board) != parity_start) { cout << "0\n"; return 0; } int num_pieces = 0; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (start_board[i][j] == 'O') { ++num_pieces; } } } ll sum_degrees = Choose(n * m - 2, num_pieces - 1); sum_degrees *= (n * (m - 1) + m * (n - 1)); int end_degree = 0; for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { if (end_board[i][j] != 'O') { continue; } for (int d = 0; d < 4; ++d) { const int ni = i + dr[d]; const int nj = j + dc[d]; if (ni < 0 || nj < 0 || ni >= n || nj >= m) { continue; } if (end_board[ni][nj] != '.') { continue; } ++end_degree; } } } cout << (long double)end_degree / sum_degrees << "\n"; } |
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