#include <iostream>
#include <set>
using namespace std;
const int N = 3002;
const int MOD = 1000000007;
char board[N][N];
int n;
char getField(int x, int y) {
if (x < 0 || y < 0 || x >= n || y >= n) {
return '#';
}
return board[x][y];
}
bool isFree(int x, int y) {
return getField(x, y) == '.';
}
long long solve(int k, set<pair<int, int>>& possibleMoves) {
long long result = 0;
if (k == 1) {
result = (long long) possibleMoves.size();
} else {
set<pair<int, int>> nextPossibleMove = possibleMoves;
int index = 0;
for (auto& move : possibleMoves) {
nextPossibleMove.erase(move);
board[move.first][move.second] = '#';
int i = move.first;
int j = move.second;
if (isFree(i + 1, j)) {
nextPossibleMove.insert(pair<int, int>(i + 1, j));
}
if (isFree(i - 1, j)) {
nextPossibleMove.insert(pair<int, int>(i - 1, j));
}
if (isFree(i, j + 1)) {
nextPossibleMove.insert(pair<int, int>(i, j + 1));
}
if (isFree(i, j - 1)) {
nextPossibleMove.insert(pair<int, int>(i, j - 1));
}
result += solve(k - 1, nextPossibleMove) - index;
result %= MOD;
if (isFree(i + 1, j)) {
nextPossibleMove.erase(pair<int, int>(i + 1, j));
}
if (isFree(i - 1, j)) {
nextPossibleMove.erase(pair<int, int>(i - 1, j));
}
if (isFree(i, j + 1)) {
nextPossibleMove.erase(pair<int, int>(i, j + 1));
}
if (isFree(i, j - 1)) {
nextPossibleMove.erase(pair<int, int>(i, j - 1));
}
board[move.first][move.second] = '.';
nextPossibleMove.insert(move);
index++;
}
}
return result % MOD;
}
int main() {
ios_base::sync_with_stdio(0);
int k;
cin >> n >> k;
for (int i = n - 1; i >= 0; i--) {
for (int j = 0; j < n; j++) {
cin >> board[j][i];
}
}
set<pair<int, int>> possibleMoves;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (board[i][j] == '#') {
if (isFree(i + 1, j)) {
possibleMoves.insert(pair<int, int>(i + 1, j));
}
if (isFree(i - 1, j)) {
possibleMoves.insert(pair<int, int>(i - 1, j));
}
if (isFree(i, j + 1)) {
possibleMoves.insert(pair<int, int>(i, j + 1));
}
if (isFree(i, j - 1)) {
possibleMoves.insert(pair<int, int>(i, j - 1));
}
}
}
}
cout << solve(k, possibleMoves);
return 0;
}
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 | #include <iostream> #include <set> using namespace std; const int N = 3002; const int MOD = 1000000007; char board[N][N]; int n; char getField(int x, int y) { if (x < 0 || y < 0 || x >= n || y >= n) { return '#'; } return board[x][y]; } bool isFree(int x, int y) { return getField(x, y) == '.'; } long long solve(int k, set<pair<int, int>>& possibleMoves) { long long result = 0; if (k == 1) { result = (long long) possibleMoves.size(); } else { set<pair<int, int>> nextPossibleMove = possibleMoves; int index = 0; for (auto& move : possibleMoves) { nextPossibleMove.erase(move); board[move.first][move.second] = '#'; int i = move.first; int j = move.second; if (isFree(i + 1, j)) { nextPossibleMove.insert(pair<int, int>(i + 1, j)); } if (isFree(i - 1, j)) { nextPossibleMove.insert(pair<int, int>(i - 1, j)); } if (isFree(i, j + 1)) { nextPossibleMove.insert(pair<int, int>(i, j + 1)); } if (isFree(i, j - 1)) { nextPossibleMove.insert(pair<int, int>(i, j - 1)); } result += solve(k - 1, nextPossibleMove) - index; result %= MOD; if (isFree(i + 1, j)) { nextPossibleMove.erase(pair<int, int>(i + 1, j)); } if (isFree(i - 1, j)) { nextPossibleMove.erase(pair<int, int>(i - 1, j)); } if (isFree(i, j + 1)) { nextPossibleMove.erase(pair<int, int>(i, j + 1)); } if (isFree(i, j - 1)) { nextPossibleMove.erase(pair<int, int>(i, j - 1)); } board[move.first][move.second] = '.'; nextPossibleMove.insert(move); index++; } } return result % MOD; } int main() { ios_base::sync_with_stdio(0); int k; cin >> n >> k; for (int i = n - 1; i >= 0; i--) { for (int j = 0; j < n; j++) { cin >> board[j][i]; } } set<pair<int, int>> possibleMoves; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (board[i][j] == '#') { if (isFree(i + 1, j)) { possibleMoves.insert(pair<int, int>(i + 1, j)); } if (isFree(i - 1, j)) { possibleMoves.insert(pair<int, int>(i - 1, j)); } if (isFree(i, j + 1)) { possibleMoves.insert(pair<int, int>(i, j + 1)); } if (isFree(i, j - 1)) { possibleMoves.insert(pair<int, int>(i, j - 1)); } } } } cout << solve(k, possibleMoves); return 0; } |
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