From 1ee825c5483cd6d55a0dd22527df8e6a4158905c Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Tue, 6 Sep 2022 16:59:40 +0800
Subject: [PATCH] =?UTF-8?q?1801.=20[Ahoi2009]chess=20=E4=B8=AD=E5=9B=BD?=
 =?UTF-8?q?=E8=B1=A1=E6=A3=8B?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://hydro.ac/d/bzoj/record/63170bb13f0a183d28636b71
---
 BZOJ/1801/1801.cpp    | 87 +++++++++++++++++++++++++++++++++++++++++++
 BZOJ/1801/data/1.in   |  3 ++
 BZOJ/1801/data/1.out  |  3 ++
 BZOJ/1801/data/10.in  |  3 ++
 BZOJ/1801/data/10.out |  3 ++
 BZOJ/1801/data/2.in   |  3 ++
 BZOJ/1801/data/2.out  |  3 ++
 BZOJ/1801/data/3.in   |  3 ++
 BZOJ/1801/data/3.out  |  3 ++
 BZOJ/1801/data/4.in   |  3 ++
 BZOJ/1801/data/4.out  |  3 ++
 BZOJ/1801/data/5.in   |  3 ++
 BZOJ/1801/data/5.out  |  3 ++
 BZOJ/1801/data/6.in   |  3 ++
 BZOJ/1801/data/6.out  |  3 ++
 BZOJ/1801/data/7.in   |  3 ++
 BZOJ/1801/data/7.out  |  3 ++
 BZOJ/1801/data/8.in   |  3 ++
 BZOJ/1801/data/8.out  |  3 ++
 BZOJ/1801/data/9.in   |  3 ++
 BZOJ/1801/data/9.out  |  3 ++
 21 files changed, 147 insertions(+)
 create mode 100644 BZOJ/1801/1801.cpp
 create mode 100644 BZOJ/1801/data/1.in
 create mode 100644 BZOJ/1801/data/1.out
 create mode 100644 BZOJ/1801/data/10.in
 create mode 100644 BZOJ/1801/data/10.out
 create mode 100644 BZOJ/1801/data/2.in
 create mode 100644 BZOJ/1801/data/2.out
 create mode 100644 BZOJ/1801/data/3.in
 create mode 100644 BZOJ/1801/data/3.out
 create mode 100644 BZOJ/1801/data/4.in
 create mode 100644 BZOJ/1801/data/4.out
 create mode 100644 BZOJ/1801/data/5.in
 create mode 100644 BZOJ/1801/data/5.out
 create mode 100644 BZOJ/1801/data/6.in
 create mode 100644 BZOJ/1801/data/6.out
 create mode 100644 BZOJ/1801/data/7.in
 create mode 100644 BZOJ/1801/data/7.out
 create mode 100644 BZOJ/1801/data/8.in
 create mode 100644 BZOJ/1801/data/8.out
 create mode 100644 BZOJ/1801/data/9.in
 create mode 100644 BZOJ/1801/data/9.out

diff --git a/BZOJ/1801/1801.cpp b/BZOJ/1801/1801.cpp
new file mode 100644
index 00000000..11cc1fd7
--- /dev/null
+++ b/BZOJ/1801/1801.cpp
@@ -0,0 +1,87 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 105;
+const int mod = 9999973;
+
+int n, m;
+long long f[N][N][N]{1}, ans;
+
+long long C(long long x) {
+    return x * (x - 1) / 2;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n >> m;
+
+    for (int i = 1; i <= n; i++) {
+        // 不增加炮
+        for (int j = 0; j <= m; j++) {
+            for (int k = 0; j + k <= m; k++) {
+                f[i][j][k] = f[i - 1][j][k];
+            }
+        }
+
+        // 增加 1 个炮
+        //
+        // 从 1 个炮增加到 2 个炮
+        for (int j = 0; j <= m; j++) {
+            for (int k = 1; j + k <= m; k++) {
+                f[i][j][k] = (f[i][j][k] + f[i - 1][j + 1][k - 1] * (j + 1) % mod) % mod;
+            }
+        }
+
+        // 增加 1 个炮
+        //
+        // 从 0 个炮增加到 1 个炮
+        for (int j = 1; j <= m; j++) {
+            for (int k = 0; j + k <= m; k++) {
+                f[i][j][k] = (f[i][j][k] + f[i - 1][j - 1][k] * (m - j - k + 1) % mod) % mod;
+            }
+        }
+
+        // 增加 2 个炮
+        //
+        // 一列从 0 个炮增加到 1 个炮
+        // 一列从 1 个炮增加到 2 个炮
+        for (int j = 0; j <= m; j++) {
+            for (int k = 1; j + k <= m; k++) {
+                f[i][j][k] = (f[i][j][k] + f[i - 1][j][k - 1] * j * (m - j - k + 1) % mod) % mod;
+            }
+        }
+
+        // 增加 2 个炮
+        //
+        // 两列从 0 个炮增加到 1 个炮
+        for (int j = 2; j <= m; j++) {
+            for (int k = 0; j + k <= m; k++) {
+                f[i][j][k] = (f[i][j][k] + f[i - 1][j - 2][k] * C(m - j - k + 2) % mod) % mod;
+            }
+        }
+
+        // 增加 2 个炮
+        //
+        // 两列从 1 个炮增加到 2 个炮
+        for (int j = 0; j <= m; j++) {
+            for (int k = 2; j + k <= m; k++) {
+                f[i][j][k] = (f[i][j][k] + f[i - 1][j + 2][k - 2] * C(j + 2) % mod) % mod;
+            }
+        }
+    }
+
+    for (int i = 0; i <= m; i++) {
+        for (int j = 0; i + j <= m; j++) {
+            ans = (ans + f[n][i][j]) % mod;
+        }
+    }
+
+    cout << ans << endl;
+
+    return 0;
+}
diff --git a/BZOJ/1801/data/1.in b/BZOJ/1801/data/1.in
new file mode 100644
index 00000000..aa9f0503
--- /dev/null
+++ b/BZOJ/1801/data/1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f2bbb6596fac0e3a9683e8412c862103a7c31244cae330a31ca602bc922e69a
+size 4
diff --git a/BZOJ/1801/data/1.out b/BZOJ/1801/data/1.out
new file mode 100644
index 00000000..85f92562
--- /dev/null
+++ b/BZOJ/1801/data/1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:809610430767a58f3409adcbf07cda0d91e3cafcb759c5b0df234ff08b2afa88
+size 5
diff --git a/BZOJ/1801/data/10.in b/BZOJ/1801/data/10.in
new file mode 100644
index 00000000..218c36a2
--- /dev/null
+++ b/BZOJ/1801/data/10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c1f9534ed3f91538f3668f886aa4bb6d158dfdca7790b93fc2bd4f2c9ede944
+size 7
diff --git a/BZOJ/1801/data/10.out b/BZOJ/1801/data/10.out
new file mode 100644
index 00000000..319397d4
--- /dev/null
+++ b/BZOJ/1801/data/10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3eb200a6c36daa6fd19bc2b7f927bb2fae786da2351bdc7b89ca20fb17d1132f
+size 8
diff --git a/BZOJ/1801/data/2.in b/BZOJ/1801/data/2.in
new file mode 100644
index 00000000..173da161
--- /dev/null
+++ b/BZOJ/1801/data/2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e043973d19fbcf1804353f8ebee95a97ea1f7c20e43206b6dede499c4c9cf35
+size 6
diff --git a/BZOJ/1801/data/2.out b/BZOJ/1801/data/2.out
new file mode 100644
index 00000000..2de111aa
--- /dev/null
+++ b/BZOJ/1801/data/2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97ab96c80638373b39a862e44c0ef907ec9b42dda46d8ba8a66a744c4a74d430
+size 8
diff --git a/BZOJ/1801/data/3.in b/BZOJ/1801/data/3.in
new file mode 100644
index 00000000..90d9210b
--- /dev/null
+++ b/BZOJ/1801/data/3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be002a51e218d8988a61577c4301b4dfeace6577f29f51e786af4ec44764c45c
+size 6
diff --git a/BZOJ/1801/data/3.out b/BZOJ/1801/data/3.out
new file mode 100644
index 00000000..861bd827
--- /dev/null
+++ b/BZOJ/1801/data/3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebf6242a91fb4f33b69d881cdc67df51b7de3f2252f410c7b836f9e7aa83a356
+size 8
diff --git a/BZOJ/1801/data/4.in b/BZOJ/1801/data/4.in
new file mode 100644
index 00000000..38e03b3a
--- /dev/null
+++ b/BZOJ/1801/data/4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6e73f1d5dd794893338e0f1fa03e676c58fbb5d35c7dae9aad9cc7e6426fa04
+size 5
diff --git a/BZOJ/1801/data/4.out b/BZOJ/1801/data/4.out
new file mode 100644
index 00000000..a9d383e2
--- /dev/null
+++ b/BZOJ/1801/data/4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ead6f91b8f21f31ca755dd7c83073e9ef96b3baa6469c79908cc8b0c6fe355b8
+size 8
diff --git a/BZOJ/1801/data/5.in b/BZOJ/1801/data/5.in
new file mode 100644
index 00000000..6dc78706
--- /dev/null
+++ b/BZOJ/1801/data/5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d63d0ac62176acc5977b66200ca95fbff99307c57a1cff0bc7d445ee1672dde
+size 4
diff --git a/BZOJ/1801/data/5.out b/BZOJ/1801/data/5.out
new file mode 100644
index 00000000..9d99ab73
--- /dev/null
+++ b/BZOJ/1801/data/5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bd7a6aff0538ab681c1de1e97c23cb00fab9b328a5e5a0bab20b42ade986bcf
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diff --git a/BZOJ/1801/data/6.in b/BZOJ/1801/data/6.in
new file mode 100644
index 00000000..98215dea
--- /dev/null
+++ b/BZOJ/1801/data/6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9889d400e10c2d6df075a8766e3bd2df7e863ece46a422c56a11c81d0502c0f
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diff --git a/BZOJ/1801/data/6.out b/BZOJ/1801/data/6.out
new file mode 100644
index 00000000..461d68e4
--- /dev/null
+++ b/BZOJ/1801/data/6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6822474cf51557f66aef31cb6e1b5593c7839479a5a6592765ecb74e3c1eb747
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diff --git a/BZOJ/1801/data/7.in b/BZOJ/1801/data/7.in
new file mode 100644
index 00000000..02e01985
--- /dev/null
+++ b/BZOJ/1801/data/7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/BZOJ/1801/data/7.out b/BZOJ/1801/data/7.out
new file mode 100644
index 00000000..28a3e0f8
--- /dev/null
+++ b/BZOJ/1801/data/7.out
@@ -0,0 +1,3 @@
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diff --git a/BZOJ/1801/data/8.in b/BZOJ/1801/data/8.in
new file mode 100644
index 00000000..8684c3a3
--- /dev/null
+++ b/BZOJ/1801/data/8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/BZOJ/1801/data/8.out b/BZOJ/1801/data/8.out
new file mode 100644
index 00000000..9dda6001
--- /dev/null
+++ b/BZOJ/1801/data/8.out
@@ -0,0 +1,3 @@
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diff --git a/BZOJ/1801/data/9.in b/BZOJ/1801/data/9.in
new file mode 100644
index 00000000..5083176b
--- /dev/null
+++ b/BZOJ/1801/data/9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/BZOJ/1801/data/9.out b/BZOJ/1801/data/9.out
new file mode 100644
index 00000000..2d2edc08
--- /dev/null
+++ b/BZOJ/1801/data/9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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