From 9c965a563d8ab8062fd2ec9afd81e4a7225000f1 Mon Sep 17 00:00:00 2001
From: Ta180m
Date: Mon, 4 May 2020 10:22:47 -0500
Subject: Create sprinklers2.cpp

---
 2020/US Open/Platinum/sprinklers2.cpp | 68 +++++++++++++++++++++++++++++++++++
 1 file changed, 68 insertions(+)
 create mode 100644 2020/US Open/Platinum/sprinklers2.cpp

diff --git a/2020/US Open/Platinum/sprinklers2.cpp b/2020/US Open/Platinum/sprinklers2.cpp
new file mode 100644
index 0000000..fd2fe5a
--- /dev/null
+++ b/2020/US Open/Platinum/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';
+}
-- 
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