From 0bb91dfd42fffca7170c62bdf9cdb7e8c5e2cbd3 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Mon, 6 Feb 2023 20:57:51 +0800
Subject: [PATCH] =?UTF-8?q?#1896.=20=E3=80=90JSOI2011=E3=80=91=E5=88=86?=
 =?UTF-8?q?=E7=89=B9=E4=BA=A7?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://sjzezoj.com/submission/68109
---
 S2OJ/1896/1896.cpp          | 54 +++++++++++++++++++++++++++++++++++++
 S2OJ/1896/data/data1.in     |  3 +++
 S2OJ/1896/data/data1.out    |  3 +++
 S2OJ/1896/data/data10.in    |  3 +++
 S2OJ/1896/data/data10.out   |  3 +++
 S2OJ/1896/data/data2.in     |  3 +++
 S2OJ/1896/data/data2.out    |  3 +++
 S2OJ/1896/data/data3.in     |  3 +++
 S2OJ/1896/data/data3.out    |  3 +++
 S2OJ/1896/data/data4.in     |  3 +++
 S2OJ/1896/data/data4.out    |  3 +++
 S2OJ/1896/data/data5.in     |  3 +++
 S2OJ/1896/data/data5.out    |  3 +++
 S2OJ/1896/data/data6.in     |  3 +++
 S2OJ/1896/data/data6.out    |  3 +++
 S2OJ/1896/data/data7.in     |  3 +++
 S2OJ/1896/data/data7.out    |  3 +++
 S2OJ/1896/data/data8.in     |  3 +++
 S2OJ/1896/data/data8.out    |  3 +++
 S2OJ/1896/data/data9.in     |  3 +++
 S2OJ/1896/data/data9.out    |  3 +++
 S2OJ/1896/data/problem.conf |  3 +++
 22 files changed, 117 insertions(+)
 create mode 100644 S2OJ/1896/1896.cpp
 create mode 100644 S2OJ/1896/data/data1.in
 create mode 100644 S2OJ/1896/data/data1.out
 create mode 100644 S2OJ/1896/data/data10.in
 create mode 100644 S2OJ/1896/data/data10.out
 create mode 100644 S2OJ/1896/data/data2.in
 create mode 100644 S2OJ/1896/data/data2.out
 create mode 100644 S2OJ/1896/data/data3.in
 create mode 100644 S2OJ/1896/data/data3.out
 create mode 100644 S2OJ/1896/data/data4.in
 create mode 100644 S2OJ/1896/data/data4.out
 create mode 100644 S2OJ/1896/data/data5.in
 create mode 100644 S2OJ/1896/data/data5.out
 create mode 100644 S2OJ/1896/data/data6.in
 create mode 100644 S2OJ/1896/data/data6.out
 create mode 100644 S2OJ/1896/data/data7.in
 create mode 100644 S2OJ/1896/data/data7.out
 create mode 100644 S2OJ/1896/data/data8.in
 create mode 100644 S2OJ/1896/data/data8.out
 create mode 100644 S2OJ/1896/data/data9.in
 create mode 100644 S2OJ/1896/data/data9.out
 create mode 100644 S2OJ/1896/data/problem.conf

diff --git a/S2OJ/1896/1896.cpp b/S2OJ/1896/1896.cpp
new file mode 100644
index 00000000..38cbae5e
--- /dev/null
+++ b/S2OJ/1896/1896.cpp
@@ -0,0 +1,54 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 2005;
+const int mod = 1e9 + 7;
+
+int n, m, a[N], c[N][N], f[N], ans;
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    c[0][0] = 1;
+
+    for (int i = 1; i < N; ++i) {
+        c[i][0] = 1;
+
+        for (int j = 1; j <= i; ++j) {
+            c[i][j] = (static_cast<long long>(c[i - 1][j - 1]) + c[i - 1][j]) % mod;
+        }
+    }
+
+    cin >> n >> m;
+
+    for (int i = 1; i <= m; i++) {
+        cin >> a[i];
+    }
+
+    for (int i = 0; i < n; i++) {
+        f[i] = 1;
+
+        for (int j = 1; j <= m; j++) {
+            f[i] = static_cast<long long>(f[i]) * c[n - i + a[j] - 1][n - i - 1] % mod;
+        }
+
+        f[i] = static_cast<long long>(f[i]) * c[n][i] % mod;
+    }
+
+    for (int i = 0; i < n; i++) {
+        if (i % 2 == 0) {
+            ans = (static_cast<long long>(ans) + f[i]) % mod;
+        } else {
+            ans = (static_cast<long long>(ans) - f[i] + mod) % mod;
+        }
+    }
+
+    cout << ans << endl;
+
+    return 0;
+}
+
diff --git a/S2OJ/1896/data/data1.in b/S2OJ/1896/data/data1.in
new file mode 100644
index 00000000..ae6a3dd7
--- /dev/null
+++ b/S2OJ/1896/data/data1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:521626a96a0206fb32d65117983f0bfec42b92bd82a3728fae30150cf717cc39
+size 771
diff --git a/S2OJ/1896/data/data1.out b/S2OJ/1896/data/data1.out
new file mode 100644
index 00000000..21b20138
--- /dev/null
+++ b/S2OJ/1896/data/data1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a661499cb8e27555d9a77f610416f405e3c4cfc0c4e492b95bc41631fdfc32eb
+size 10
diff --git a/S2OJ/1896/data/data10.in b/S2OJ/1896/data/data10.in
new file mode 100644
index 00000000..df53c1ff
--- /dev/null
+++ b/S2OJ/1896/data/data10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8612a862983a44b90f1f05b9760b59028f5c52bb38e5d9434777c94cebdb0446
+size 3877
diff --git a/S2OJ/1896/data/data10.out b/S2OJ/1896/data/data10.out
new file mode 100644
index 00000000..ab191d2c
--- /dev/null
+++ b/S2OJ/1896/data/data10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2add00c70113326afe3e36e83b973cd3c52cf319006498e2e0ebd66ddd09f1f9
+size 10
diff --git a/S2OJ/1896/data/data2.in b/S2OJ/1896/data/data2.in
new file mode 100644
index 00000000..12c141e1
--- /dev/null
+++ b/S2OJ/1896/data/data2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bc081fd86f3dc231c4316c2ddaf4f89bf28229bd16f09522024e67000c8e14c
+size 45
diff --git a/S2OJ/1896/data/data2.out b/S2OJ/1896/data/data2.out
new file mode 100644
index 00000000..33658889
--- /dev/null
+++ b/S2OJ/1896/data/data2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c7697610d471d72bd2516809754297b488b4db088dfedef02491a0d2f3b1975
+size 10
diff --git a/S2OJ/1896/data/data3.in b/S2OJ/1896/data/data3.in
new file mode 100644
index 00000000..0ddb95ea
--- /dev/null
+++ b/S2OJ/1896/data/data3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c27052ff323bee81a51083494ee78ef487f8f54e9ade7a5f8ceee074f852fd44
+size 425
diff --git a/S2OJ/1896/data/data3.out b/S2OJ/1896/data/data3.out
new file mode 100644
index 00000000..085557c2
--- /dev/null
+++ b/S2OJ/1896/data/data3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ac30ead7998d2a1beb4dbfba82b3e5c5b5f17e840a375e2394c793a69170915
+size 10
diff --git a/S2OJ/1896/data/data4.in b/S2OJ/1896/data/data4.in
new file mode 100644
index 00000000..1d603dfc
--- /dev/null
+++ b/S2OJ/1896/data/data4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6a2554455f6beae2b409f5aa1f984e690984b40821d2d6d25098d0c64a9b7bd
+size 24
diff --git a/S2OJ/1896/data/data4.out b/S2OJ/1896/data/data4.out
new file mode 100644
index 00000000..7e740be1
--- /dev/null
+++ b/S2OJ/1896/data/data4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3540d8e7a800e033b9f951a86d4d38d170ec7fe84e0777684010fc143a201125
+size 10
diff --git a/S2OJ/1896/data/data5.in b/S2OJ/1896/data/data5.in
new file mode 100644
index 00000000..56b15a1f
--- /dev/null
+++ b/S2OJ/1896/data/data5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82c206fbd738342008ae4aa258072f60b1707f1e8e33c73b57f860374ee2a1ee
+size 115
diff --git a/S2OJ/1896/data/data5.out b/S2OJ/1896/data/data5.out
new file mode 100644
index 00000000..1a76acfd
--- /dev/null
+++ b/S2OJ/1896/data/data5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c28b8bbafc01cc66bc10ad945f49fb2721969ccd5aaf76573ecf0126ccef115
+size 10
diff --git a/S2OJ/1896/data/data6.in b/S2OJ/1896/data/data6.in
new file mode 100644
index 00000000..9bb1c784
--- /dev/null
+++ b/S2OJ/1896/data/data6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2153286dd5bdff329f397358855ca9bbf2431ab7459becfd5f0c987881a20a8b
+size 17
diff --git a/S2OJ/1896/data/data6.out b/S2OJ/1896/data/data6.out
new file mode 100644
index 00000000..b1c0a225
--- /dev/null
+++ b/S2OJ/1896/data/data6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f75414c8a0aeda4ac3590d24805340b6eb909dead7c7a2402ba94f99425bd53b
+size 10
diff --git a/S2OJ/1896/data/data7.in b/S2OJ/1896/data/data7.in
new file mode 100644
index 00000000..4db2f305
--- /dev/null
+++ b/S2OJ/1896/data/data7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:975c06a3d79a244b2f46a7721e843be2b3f726ed2209ff7d82ae35d94dd08f6f
+size 16
diff --git a/S2OJ/1896/data/data7.out b/S2OJ/1896/data/data7.out
new file mode 100644
index 00000000..74be6090
--- /dev/null
+++ b/S2OJ/1896/data/data7.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:272321ca27d3cd6b6063d9664a4c7d5539443dcc043790ebcf56ed5ab8c3b660
+size 10
diff --git a/S2OJ/1896/data/data8.in b/S2OJ/1896/data/data8.in
new file mode 100644
index 00000000..50e9c16b
--- /dev/null
+++ b/S2OJ/1896/data/data8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfbe90b10a76540d39a1bdd2743d1d766b2c44ef1b0eac8c85422de4b4539a65
+size 34
diff --git a/S2OJ/1896/data/data8.out b/S2OJ/1896/data/data8.out
new file mode 100644
index 00000000..213bfc03
--- /dev/null
+++ b/S2OJ/1896/data/data8.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63571a98a850d3655a6f57ea420e21f7a366072e808a7e04ecc4fe4cd057528c
+size 10
diff --git a/S2OJ/1896/data/data9.in b/S2OJ/1896/data/data9.in
new file mode 100644
index 00000000..0b972b09
--- /dev/null
+++ b/S2OJ/1896/data/data9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ae4dd9b7a2a173e329d4c0c99d32ea1fbbccae830cc9b8d559e77e09e7cb903
+size 29
diff --git a/S2OJ/1896/data/data9.out b/S2OJ/1896/data/data9.out
new file mode 100644
index 00000000..f58dae41
--- /dev/null
+++ b/S2OJ/1896/data/data9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66dadd6dd8838dbcd8f8a530c9dd5d68e5ab3b7172e57e60d2cc80c29c619357
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diff --git a/S2OJ/1896/data/problem.conf b/S2OJ/1896/data/problem.conf
new file mode 100644
index 00000000..6fd10e34
--- /dev/null
+++ b/S2OJ/1896/data/problem.conf
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb8bf60cdf306f5a69f06add77febc199735a178f6d6a85d4add1509d4db5f49
+size 208