From 09f0a2be59d977ad9c6d158df5ea9afed9dbce7f Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Thu, 9 Feb 2023 16:50:22 +0800
Subject: [PATCH] =?UTF-8?q?#2239.=20=E3=80=8CCQOI2014=E3=80=8D=E5=8D=B1?=
 =?UTF-8?q?=E6=A1=A5?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://loj.ac/s/1697765
---
 LibreOJ/2239/2239.cpp          | 147 +++++++++++++++++++++++++++++++++
 LibreOJ/2239/data/bridge1.in   |   3 +
 LibreOJ/2239/data/bridge1.out  |   3 +
 LibreOJ/2239/data/bridge10.in  |   3 +
 LibreOJ/2239/data/bridge10.out |   3 +
 LibreOJ/2239/data/bridge2.in   |   3 +
 LibreOJ/2239/data/bridge2.out  |   3 +
 LibreOJ/2239/data/bridge3.in   |   3 +
 LibreOJ/2239/data/bridge3.out  |   3 +
 LibreOJ/2239/data/bridge4.in   |   3 +
 LibreOJ/2239/data/bridge4.out  |   3 +
 LibreOJ/2239/data/bridge5.in   |   3 +
 LibreOJ/2239/data/bridge5.out  |   3 +
 LibreOJ/2239/data/bridge6.in   |   3 +
 LibreOJ/2239/data/bridge6.out  |   3 +
 LibreOJ/2239/data/bridge7.in   |   3 +
 LibreOJ/2239/data/bridge7.out  |   3 +
 LibreOJ/2239/data/bridge8.in   |   3 +
 LibreOJ/2239/data/bridge8.out  |   3 +
 LibreOJ/2239/data/bridge9.in   |   3 +
 LibreOJ/2239/data/bridge9.out  |   3 +
 21 files changed, 207 insertions(+)
 create mode 100644 LibreOJ/2239/2239.cpp
 create mode 100644 LibreOJ/2239/data/bridge1.in
 create mode 100644 LibreOJ/2239/data/bridge1.out
 create mode 100644 LibreOJ/2239/data/bridge10.in
 create mode 100644 LibreOJ/2239/data/bridge10.out
 create mode 100644 LibreOJ/2239/data/bridge2.in
 create mode 100644 LibreOJ/2239/data/bridge2.out
 create mode 100644 LibreOJ/2239/data/bridge3.in
 create mode 100644 LibreOJ/2239/data/bridge3.out
 create mode 100644 LibreOJ/2239/data/bridge4.in
 create mode 100644 LibreOJ/2239/data/bridge4.out
 create mode 100644 LibreOJ/2239/data/bridge5.in
 create mode 100644 LibreOJ/2239/data/bridge5.out
 create mode 100644 LibreOJ/2239/data/bridge6.in
 create mode 100644 LibreOJ/2239/data/bridge6.out
 create mode 100644 LibreOJ/2239/data/bridge7.in
 create mode 100644 LibreOJ/2239/data/bridge7.out
 create mode 100644 LibreOJ/2239/data/bridge8.in
 create mode 100644 LibreOJ/2239/data/bridge8.out
 create mode 100644 LibreOJ/2239/data/bridge9.in
 create mode 100644 LibreOJ/2239/data/bridge9.out

diff --git a/LibreOJ/2239/2239.cpp b/LibreOJ/2239/2239.cpp
new file mode 100644
index 00000000..9a6e4e60
--- /dev/null
+++ b/LibreOJ/2239/2239.cpp
@@ -0,0 +1,147 @@
+#include <iostream>
+#include <algorithm>
+#include <iterator>
+#include <queue>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 55,
+          M = (N * N) << 1;
+const int INF = 0x3f3f3f3f;
+
+int n, s, t, a1, a2, an, b1, b2, bn;
+int idx, head[N], head2[N], ver[M << 1], edge[M << 1], edge2[M << 1], next[M << 1];
+int dis[N], cur[N];
+
+void add(int u, int v, int w) {
+    next[idx] = head[u];
+    ver[idx] = v;
+    edge[idx] = w;
+    head[u] = idx++;
+}
+
+bool bfs() {
+    std::fill(std::begin(dis), std::end(dis), 0);
+
+    std::queue<int> q;
+
+    q.emplace(s);
+    dis[s] = 1;
+    cur[s] = head[s];
+
+    while (!q.empty()) {
+        int u = q.front();
+        q.pop();
+
+        for (int i = head[u]; ~i; i = next[i]) {
+            int v = ver[i],
+                w = edge[i];
+
+            if (w && !dis[v]) {
+                dis[v] = dis[u] + 1;
+                cur[v] = head[v];
+
+                if (v == t) return true;
+
+                q.emplace(v);
+            }
+        }
+    }
+
+    return false;
+}
+
+int dinic(int u, int limit) {
+    if (u == t) return limit;
+
+    int flow = 0;
+    for (int i = cur[u]; ~i && flow < limit; i = next[i]) {
+        cur[u] = i;
+
+        int v = ver[i],
+            w = edge[i];
+
+        if (w && dis[v] == dis[u] + 1) {
+            int k = dinic(v, std::min(w, limit - flow));
+
+            if (!k) dis[v] = 0;
+
+            edge[i] -= k;
+            edge[i ^ 1] += k;
+            flow += k;
+        }
+    }
+
+    return flow;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    while (cin >> n >> a1 >> a2 >> an >> b1 >> b2 >> bn) {
+        a1++, a2++, b1++, b2++;
+        s = 0, t = n + 1;
+
+        idx = 0;
+        std::fill(std::begin(head), std::end(head), -1);
+
+        for (int i = 1; i <= n; i++) {
+            for (int j = 1; j <= n; j++) {
+                char c;
+
+                cin >> c;
+
+                if (c == 'O') {
+                    add(i, j, 2);
+                    add(j, i, 0);
+                } else if (c == 'N') {
+                    add(i, j, INF);
+                    add(j, i, 0);
+                }
+            }
+        }
+
+        bool ans = true;
+
+        for (int _ = 0; _ < 2; _++) {
+            // Backup
+            int idx2 = idx;
+            std::copy(std::begin(head), std::end(head), std::begin(head2));
+            std::copy(std::begin(edge), std::end(edge), std::begin(edge2));
+
+            add(s, a1, an * 2);
+            add(a1, s, 0);
+
+            add(s, b1, bn * 2);
+            add(b1, s, 0);
+
+            add(a2, t, an * 2);
+            add(t, a2, 0);
+
+            add(b2, t, bn * 2);
+            add(t, b2, 0);
+
+            int res = 0;
+
+            while (bfs()) {
+                while (int flow = dinic(s, INF)) res += flow;
+            }
+
+            ans &= res == (an + bn) * 2;
+
+            std::swap(b1, b2);
+
+            // Restore backup
+            idx = idx2;
+            std::copy(std::begin(head2), std::end(head2), std::begin(head));
+            std::copy(std::begin(edge2), std::end(edge2), std::begin(edge));
+        }
+
+        cout << (ans ? "Yes" : "No") << endl;
+    }
+
+    return 0;
+}
diff --git a/LibreOJ/2239/data/bridge1.in b/LibreOJ/2239/data/bridge1.in
new file mode 100644
index 00000000..8f332b30
--- /dev/null
+++ b/LibreOJ/2239/data/bridge1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:445e02cf3295551627f23969e262449d3dc7b55899df587f81a54312b7bee457
+size 494
diff --git a/LibreOJ/2239/data/bridge1.out b/LibreOJ/2239/data/bridge1.out
new file mode 100644
index 00000000..4536e6d7
--- /dev/null
+++ b/LibreOJ/2239/data/bridge1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59e581b2b0b12d0369f29126dcfc0429bc5037ac917fcdc133960712a10561f6
+size 29
diff --git a/LibreOJ/2239/data/bridge10.in b/LibreOJ/2239/data/bridge10.in
new file mode 100644
index 00000000..522aba3e
--- /dev/null
+++ b/LibreOJ/2239/data/bridge10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3f9b51a6b01d3d3aa8a3a6cf2f1954cd0f87970b9f16f0d619127a47021c0fd
+size 25180
diff --git a/LibreOJ/2239/data/bridge10.out b/LibreOJ/2239/data/bridge10.out
new file mode 100644
index 00000000..b133dc3e
--- /dev/null
+++ b/LibreOJ/2239/data/bridge10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5644c88f5da65969b21ecdf9eb88603eabe218d7eece7beeb4cb6756c71675ce
+size 74
diff --git a/LibreOJ/2239/data/bridge2.in b/LibreOJ/2239/data/bridge2.in
new file mode 100644
index 00000000..3a5f3777
--- /dev/null
+++ b/LibreOJ/2239/data/bridge2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16bd9959d4587bb50d1d8d24e79b1ba79975b178a1c83708830a3557f7b91d2f
+size 1600
diff --git a/LibreOJ/2239/data/bridge2.out b/LibreOJ/2239/data/bridge2.out
new file mode 100644
index 00000000..98747766
--- /dev/null
+++ b/LibreOJ/2239/data/bridge2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e3fb5c6f618de276b6d53c123dd4be7c5fdf85fdd7d02555fb9ca6cddb47c55
+size 88
diff --git a/LibreOJ/2239/data/bridge3.in b/LibreOJ/2239/data/bridge3.in
new file mode 100644
index 00000000..1c039a40
--- /dev/null
+++ b/LibreOJ/2239/data/bridge3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:613f283e048df640a8efa2128cf1950e5ffe92483d6f0a4ed85067a6141f403d
+size 2777
diff --git a/LibreOJ/2239/data/bridge3.out b/LibreOJ/2239/data/bridge3.out
new file mode 100644
index 00000000..6b51e48b
--- /dev/null
+++ b/LibreOJ/2239/data/bridge3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf988e9410a245f117b039afbfc85a1111b3b1eca760825282547096d106352d
+size 55
diff --git a/LibreOJ/2239/data/bridge4.in b/LibreOJ/2239/data/bridge4.in
new file mode 100644
index 00000000..cae19269
--- /dev/null
+++ b/LibreOJ/2239/data/bridge4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f99a473719e8971ffa9f7faa4a9e834846a58eadc3fe0be86b70a437d0d40ed5
+size 10915
diff --git a/LibreOJ/2239/data/bridge4.out b/LibreOJ/2239/data/bridge4.out
new file mode 100644
index 00000000..88dbbbcc
--- /dev/null
+++ b/LibreOJ/2239/data/bridge4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0f00253f1b2c1350aabe9deffe48346462683d14c65e9d73aeae5843a6c01ec
+size 52
diff --git a/LibreOJ/2239/data/bridge5.in b/LibreOJ/2239/data/bridge5.in
new file mode 100644
index 00000000..93a3fda2
--- /dev/null
+++ b/LibreOJ/2239/data/bridge5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:411576b247e4a28dcab012a5623fd10cf5d24da7718bec502ae1c86630b5cd42
+size 9084
diff --git a/LibreOJ/2239/data/bridge5.out b/LibreOJ/2239/data/bridge5.out
new file mode 100644
index 00000000..766cdb7d
--- /dev/null
+++ b/LibreOJ/2239/data/bridge5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:706cf5460486b8af509808c1dd28efdb012c71504bb888e18a36f34fa61862c1
+size 39
diff --git a/LibreOJ/2239/data/bridge6.in b/LibreOJ/2239/data/bridge6.in
new file mode 100644
index 00000000..b90977c3
--- /dev/null
+++ b/LibreOJ/2239/data/bridge6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de05b23802651a1382876594902afc392a385ed7b41c0d21c829a714917bfe09
+size 8217
diff --git a/LibreOJ/2239/data/bridge6.out b/LibreOJ/2239/data/bridge6.out
new file mode 100644
index 00000000..449ed12e
--- /dev/null
+++ b/LibreOJ/2239/data/bridge6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 48
diff --git a/LibreOJ/2239/data/bridge7.in b/LibreOJ/2239/data/bridge7.in
new file mode 100644
index 00000000..00aabb1c
--- /dev/null
+++ b/LibreOJ/2239/data/bridge7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a3af2108b3950f5684fedaa971a5b6cdb8fb13499b13dcc0261f5b2326c2ef0
+size 11142
diff --git a/LibreOJ/2239/data/bridge7.out b/LibreOJ/2239/data/bridge7.out
new file mode 100644
index 00000000..a0d8564a
--- /dev/null
+++ b/LibreOJ/2239/data/bridge7.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 41
diff --git a/LibreOJ/2239/data/bridge8.in b/LibreOJ/2239/data/bridge8.in
new file mode 100644
index 00000000..de334847
--- /dev/null
+++ b/LibreOJ/2239/data/bridge8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 14290
diff --git a/LibreOJ/2239/data/bridge8.out b/LibreOJ/2239/data/bridge8.out
new file mode 100644
index 00000000..e412ee77
--- /dev/null
+++ b/LibreOJ/2239/data/bridge8.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 34
diff --git a/LibreOJ/2239/data/bridge9.in b/LibreOJ/2239/data/bridge9.in
new file mode 100644
index 00000000..751112ae
--- /dev/null
+++ b/LibreOJ/2239/data/bridge9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/LibreOJ/2239/data/bridge9.out b/LibreOJ/2239/data/bridge9.out
new file mode 100644
index 00000000..fdc1101a
--- /dev/null
+++ b/LibreOJ/2239/data/bridge9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 69