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Diffstat (limited to '19.5/open/plat/sprinklers2.cpp')
-rw-r--r-- | 19.5/open/plat/sprinklers2.cpp | 68 |
1 files changed, 68 insertions, 0 deletions
diff --git a/19.5/open/plat/sprinklers2.cpp b/19.5/open/plat/sprinklers2.cpp new file mode 100644 index 0000000..fd2fe5a --- /dev/null +++ b/19.5/open/plat/sprinklers2.cpp @@ -0,0 +1,68 @@ +#include <bits/stdc++.h> +#include <ext/pb_ds/tree_policy.hpp> +#include <ext/pb_ds/assoc_container.hpp> +#include <ext/rope> +#define init_io(s) ifstream cin((string)s+".in"); ofstream cout((string)s+".out"); ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL) +#define FOR(i, a, b, in) for (int i = (a); i < (b); i += in) +#define REP(i, a, b) for (int i = (a); i < (b); i++) +#define RFOR(i, a, b, in) for (int i = (a) - 1; i >= (b); i -= in) +#define RREP(i, a, b) for (int i = (a) - 1; i >= (b); i--) +#define trav(a, x) for (auto& a : x) +#define mp make_pair +#define pb push_back +#define eb emplace_back +#define f first +#define s second +#define lb lower_bound +#define ub upper_bound +#define sz(x) (int)x.size() +#define all(x) begin(x), end(x) +#define rsz resize +#define mem(a, b) memset(a, (b), sizeof(a)) +using namespace std; +using namespace __gnu_pbds; +using namespace __gnu_cxx; +typedef string str; +typedef long long ll; +typedef long double ld; +typedef complex<ld> cd; +typedef pair<int, int> ii; typedef pair<ll, ll> pl; typedef pair<ld, ld> pd; +typedef vector<int> vi; typedef vector<ll> vl; typedef vector<ld> vd; +typedef vector<ii> vii; typedef vector<pl> vpl; typedef vector<pd> vpd; +typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; +typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset; // WARNING: May be broken +constexpr int INF = 1e9; +constexpr ll LINF = 1e18; +constexpr ll MOD = 1e9+7; +const ld PI = 4*atan((ld)1); + +char G[2002][2002]; +ll pow2[2002] = { 1 }, DP[2002][2002][2] = { 0 }; + +int main() { + init_io("sprinklers2"); + + int N; + cin >> N; + for (int i = 0; i < N; ++i) { + for (int j = 0; j < N; ++j) cin >> G[i][j]; + } + + for (int i = 0; i < N; ++i) pow2[i + 1] = (pow2[i] << 1) % MOD; + + DP[0][0][1] = 1; + for (int i = 0; i < N; ++i) { + ll l = 0, r = 0, sum = 0; + for (int j = 1; j < N; ++j) r += G[i][j] == '.'; + for (int j = 0; j <= N; ++j) { + if (j && j < N) r -= G[i][j] == '.'; + DP[i + 1][j][j == N] = (pow2[l] * pow2[r] % MOD) * (((j && G[i][j - 1] == '.') + 1) * (DP[i][j][0] + DP[i][j][1]) + (j && G[i][j - 1] == '.') * sum) % MOD; + if (j < N && G[i][j] == '.') DP[i + 1][j][1] = DP[i + 1][j][0]; + if (j < N) sum = (DP[i][j][1] + sum) % MOD; + if (j) l += G[i][j - 1] == '.'; + } + } + ll ans = 0; + for (int i = 0; i <= N; ++i) ans = (DP[N][i][1] + ans) % MOD; + cout << ans << '\n'; +} |