From 73ebe1d928afcfd85f5a566adcdc9baedb81694a Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Fri, 9 Dec 2022 20:57:44 +0800
Subject: [PATCH] =?UTF-8?q?#2173.=20=E3=80=8CFJOI2016=E3=80=8D=E5=BB=BA?=
 =?UTF-8?q?=E7=AD=91=E5=B8=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://loj.ac/s/1650817
---
 LibreOJ/2173/2173.cpp            | 52 ++++++++++++++++++++++++++++++++
 LibreOJ/2173/data/building1.in   |  3 ++
 LibreOJ/2173/data/building1.out  |  3 ++
 LibreOJ/2173/data/building10.in  |  3 ++
 LibreOJ/2173/data/building10.out |  3 ++
 LibreOJ/2173/data/building2.in   |  3 ++
 LibreOJ/2173/data/building2.out  |  3 ++
 LibreOJ/2173/data/building3.in   |  3 ++
 LibreOJ/2173/data/building3.out  |  3 ++
 LibreOJ/2173/data/building4.in   |  3 ++
 LibreOJ/2173/data/building4.out  |  3 ++
 LibreOJ/2173/data/building5.in   |  3 ++
 LibreOJ/2173/data/building5.out  |  3 ++
 LibreOJ/2173/data/building6.in   |  3 ++
 LibreOJ/2173/data/building6.out  |  3 ++
 LibreOJ/2173/data/building7.in   |  3 ++
 LibreOJ/2173/data/building7.out  |  3 ++
 LibreOJ/2173/data/building8.in   |  3 ++
 LibreOJ/2173/data/building8.out  |  3 ++
 LibreOJ/2173/data/building9.in   |  3 ++
 LibreOJ/2173/data/building9.out  |  3 ++
 21 files changed, 112 insertions(+)
 create mode 100644 LibreOJ/2173/2173.cpp
 create mode 100644 LibreOJ/2173/data/building1.in
 create mode 100644 LibreOJ/2173/data/building1.out
 create mode 100644 LibreOJ/2173/data/building10.in
 create mode 100644 LibreOJ/2173/data/building10.out
 create mode 100644 LibreOJ/2173/data/building2.in
 create mode 100644 LibreOJ/2173/data/building2.out
 create mode 100644 LibreOJ/2173/data/building3.in
 create mode 100644 LibreOJ/2173/data/building3.out
 create mode 100644 LibreOJ/2173/data/building4.in
 create mode 100644 LibreOJ/2173/data/building4.out
 create mode 100644 LibreOJ/2173/data/building5.in
 create mode 100644 LibreOJ/2173/data/building5.out
 create mode 100644 LibreOJ/2173/data/building6.in
 create mode 100644 LibreOJ/2173/data/building6.out
 create mode 100644 LibreOJ/2173/data/building7.in
 create mode 100644 LibreOJ/2173/data/building7.out
 create mode 100644 LibreOJ/2173/data/building8.in
 create mode 100644 LibreOJ/2173/data/building8.out
 create mode 100644 LibreOJ/2173/data/building9.in
 create mode 100644 LibreOJ/2173/data/building9.out

diff --git a/LibreOJ/2173/2173.cpp b/LibreOJ/2173/2173.cpp
new file mode 100644
index 00000000..7d3e93c0
--- /dev/null
+++ b/LibreOJ/2173/2173.cpp
@@ -0,0 +1,52 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 5e4 + 5,
+          M = 205;
+const int mod = 1e9 + 7;
+
+int s[N][M], c[M][M];
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    s[0][0] = s[1][1] = 1;
+
+    for (int i = 2; i < N; i++) {
+        s[i][1] = static_cast<long long>(s[i - 1][1]) * (i - 1) % mod;
+    }
+
+    for (int i = 2; i < N; i++) {
+        for (int j = 1; j < M && j <= i; j++) {
+            s[i][j] = (static_cast<long long>(s[i - 1][j - 1]) + static_cast<long long>(s[i - 1][j]) * (i - 1)) % mod;
+        }
+    }
+
+    for (int i = 0; i < M; i++) {
+        c[i][0] = c[i][i] = 1;
+    }
+
+    for (int i = 2; i < M; i++) {
+        for (int j = 1; j < i; j++) {
+            c[i][j] = (static_cast<long long>(c[i - 1][j]) + c[i - 1][j - 1]) % mod;
+        }
+    }
+
+    int t;
+
+    cin >> t;
+
+    while (t--) {
+        int n, a, b;
+
+        cin >> n >> a >> b;
+
+        cout << static_cast<long long>(s[n - 1][a + b - 2]) * c[a + b - 2][a - 1] % mod << endl;
+    }
+
+    return 0;
+}
diff --git a/LibreOJ/2173/data/building1.in b/LibreOJ/2173/data/building1.in
new file mode 100644
index 00000000..4adf3722
--- /dev/null
+++ b/LibreOJ/2173/data/building1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ecbaeb9d3cf84306fde24c77947c61d00a3d45a2c678844eac9cffff0f52143
+size 39
diff --git a/LibreOJ/2173/data/building1.out b/LibreOJ/2173/data/building1.out
new file mode 100644
index 00000000..f771cc7f
--- /dev/null
+++ b/LibreOJ/2173/data/building1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8668b1e8fc83be82e127f37d6faa8748aa367eca9b77f588353ce20646594ac1
+size 20
diff --git a/LibreOJ/2173/data/building10.in b/LibreOJ/2173/data/building10.in
new file mode 100644
index 00000000..3406630f
--- /dev/null
+++ b/LibreOJ/2173/data/building10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdb84fe7796e1779cf79ea30b3f2106b61142323478ba4c1d896730dc610c088
+size 2567929
diff --git a/LibreOJ/2173/data/building10.out b/LibreOJ/2173/data/building10.out
new file mode 100644
index 00000000..7e4677bd
--- /dev/null
+++ b/LibreOJ/2173/data/building10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45976308f71d5020b26be4ea84ca695762399ad35da29edb4a537198010dce13
+size 2177245
diff --git a/LibreOJ/2173/data/building2.in b/LibreOJ/2173/data/building2.in
new file mode 100644
index 00000000..46699d9d
--- /dev/null
+++ b/LibreOJ/2173/data/building2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa3f2fd952e4aea10f9647e92f867744d05bc6b797c9f6217f27d427a4f92c53
+size 51
diff --git a/LibreOJ/2173/data/building2.out b/LibreOJ/2173/data/building2.out
new file mode 100644
index 00000000..e6c18a6a
--- /dev/null
+++ b/LibreOJ/2173/data/building2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60bfa7749fd73b1de05f8d37003eb16f9fb656db22fe5955bbecfbe65ad2a767
+size 55
diff --git a/LibreOJ/2173/data/building3.in b/LibreOJ/2173/data/building3.in
new file mode 100644
index 00000000..996d2a63
--- /dev/null
+++ b/LibreOJ/2173/data/building3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df185d1534a7759b0d3c4ff5a9ffe8995533dcee154fa0d4e375a2ac58bf065c
+size 68
diff --git a/LibreOJ/2173/data/building3.out b/LibreOJ/2173/data/building3.out
new file mode 100644
index 00000000..a5aa7992
--- /dev/null
+++ b/LibreOJ/2173/data/building3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac26967407d8a52286b23b648a98c52001f708b5e40d4db349ca4cbeeb40c774
+size 55
diff --git a/LibreOJ/2173/data/building4.in b/LibreOJ/2173/data/building4.in
new file mode 100644
index 00000000..8e615d2c
--- /dev/null
+++ b/LibreOJ/2173/data/building4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72a97f352763737f5d02635c27dd64f6483e242d7873bb908743257699ada42e
+size 68
diff --git a/LibreOJ/2173/data/building4.out b/LibreOJ/2173/data/building4.out
new file mode 100644
index 00000000..4f2e1be2
--- /dev/null
+++ b/LibreOJ/2173/data/building4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c996054966337d33cc46f645bc805f6642c70d490b0f0f385931ba8dd4a9ee3e
+size 54
diff --git a/LibreOJ/2173/data/building5.in b/LibreOJ/2173/data/building5.in
new file mode 100644
index 00000000..bd3058a3
--- /dev/null
+++ b/LibreOJ/2173/data/building5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63f31aa4c5e7e5d43c6dbbf4750dac11ad01467a93b952fcc95fe195c2ae4c37
+size 2568041
diff --git a/LibreOJ/2173/data/building5.out b/LibreOJ/2173/data/building5.out
new file mode 100644
index 00000000..5b4ab050
--- /dev/null
+++ b/LibreOJ/2173/data/building5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c2f30216fb81df99bbbee3708afae877ac4e1353bdb5aa9f57f1750eb568be4
+size 2177792
diff --git a/LibreOJ/2173/data/building6.in b/LibreOJ/2173/data/building6.in
new file mode 100644
index 00000000..67a34359
--- /dev/null
+++ b/LibreOJ/2173/data/building6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fccfedac67bbdee4ab1ceaa3423000d8da80ca63fa1fd4b8ae4a9aa6e98b951e
+size 2567763
diff --git a/LibreOJ/2173/data/building6.out b/LibreOJ/2173/data/building6.out
new file mode 100644
index 00000000..1821d5fb
--- /dev/null
+++ b/LibreOJ/2173/data/building6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e16341de3665ddac01b46a918fccd207a3d10c9a37995fab6400ec5ac93c009
+size 2177590
diff --git a/LibreOJ/2173/data/building7.in b/LibreOJ/2173/data/building7.in
new file mode 100644
index 00000000..4d0816c2
--- /dev/null
+++ b/LibreOJ/2173/data/building7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4b3a0926c8fe58bb3813bdfdcb47aa2af3447871644d75fc73178f10093e167
+size 2567788
diff --git a/LibreOJ/2173/data/building7.out b/LibreOJ/2173/data/building7.out
new file mode 100644
index 00000000..a430301f
--- /dev/null
+++ b/LibreOJ/2173/data/building7.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a296863f2a651cc5a1bd6bd6531a883368ef1f2e5cd4866f8a45a9d623914555
+size 2177459
diff --git a/LibreOJ/2173/data/building8.in b/LibreOJ/2173/data/building8.in
new file mode 100644
index 00000000..7d181de5
--- /dev/null
+++ b/LibreOJ/2173/data/building8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c67fde884f37b816ae0a4be091c6302db6813c1315c8889d5f35a0d761038357
+size 2567920
diff --git a/LibreOJ/2173/data/building8.out b/LibreOJ/2173/data/building8.out
new file mode 100644
index 00000000..8beed218
--- /dev/null
+++ b/LibreOJ/2173/data/building8.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 2177736
diff --git a/LibreOJ/2173/data/building9.in b/LibreOJ/2173/data/building9.in
new file mode 100644
index 00000000..ca34387e
--- /dev/null
+++ b/LibreOJ/2173/data/building9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcdd68ac150e7b1b23e11aca7a07e9d315e2fcc6255caf3688e8d9e8bfbc6d6b
+size 2567647
diff --git a/LibreOJ/2173/data/building9.out b/LibreOJ/2173/data/building9.out
new file mode 100644
index 00000000..d2b7daa1
--- /dev/null
+++ b/LibreOJ/2173/data/building9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cdf6d78db8d7210a328b60cf004d7996432ebf6e16abe67b1c2280b18aa8dde
+size 2177643