From e8b22ef5df14baef01aa3e59e832b44d643faf3f Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Fri, 22 Jul 2022 14:47:05 +0800
Subject: [PATCH] =?UTF-8?q?#1453.=20=E3=80=90NOIP=E6=A8=A1=E6=8B=9F?=
 =?UTF-8?q?=EF=BC=88=E7=AC=AC=E4=BA=8C=E5=A5=97=EF=BC=89=E3=80=91A.=20?=
 =?UTF-8?q?=E6=95=B0=E6=AD=A3=E6=96=B9=E4=BD=93?=
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Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://sjzezoj.com/submission/53772
---
 S2OJ/1453/1453.cpp          | 58 +++++++++++++++++++++++++++++++++++++
 S2OJ/1453/data/data1.in     |  3 ++
 S2OJ/1453/data/data1.out    |  3 ++
 S2OJ/1453/data/data10.in    |  3 ++
 S2OJ/1453/data/data10.out   |  3 ++
 S2OJ/1453/data/data2.in     |  3 ++
 S2OJ/1453/data/data2.out    |  3 ++
 S2OJ/1453/data/data3.in     |  3 ++
 S2OJ/1453/data/data3.out    |  3 ++
 S2OJ/1453/data/data4.in     |  3 ++
 S2OJ/1453/data/data4.out    |  3 ++
 S2OJ/1453/data/data5.in     |  3 ++
 S2OJ/1453/data/data5.out    |  3 ++
 S2OJ/1453/data/data6.in     |  3 ++
 S2OJ/1453/data/data6.out    |  3 ++
 S2OJ/1453/data/data7.in     |  3 ++
 S2OJ/1453/data/data7.out    |  3 ++
 S2OJ/1453/data/data8.in     |  3 ++
 S2OJ/1453/data/data8.out    |  3 ++
 S2OJ/1453/data/data9.in     |  3 ++
 S2OJ/1453/data/data9.out    |  3 ++
 S2OJ/1453/data/problem.conf |  3 ++
 22 files changed, 121 insertions(+)
 create mode 100644 S2OJ/1453/1453.cpp
 create mode 100644 S2OJ/1453/data/data1.in
 create mode 100644 S2OJ/1453/data/data1.out
 create mode 100644 S2OJ/1453/data/data10.in
 create mode 100644 S2OJ/1453/data/data10.out
 create mode 100644 S2OJ/1453/data/data2.in
 create mode 100644 S2OJ/1453/data/data2.out
 create mode 100644 S2OJ/1453/data/data3.in
 create mode 100644 S2OJ/1453/data/data3.out
 create mode 100644 S2OJ/1453/data/data4.in
 create mode 100644 S2OJ/1453/data/data4.out
 create mode 100644 S2OJ/1453/data/data5.in
 create mode 100644 S2OJ/1453/data/data5.out
 create mode 100644 S2OJ/1453/data/data6.in
 create mode 100644 S2OJ/1453/data/data6.out
 create mode 100644 S2OJ/1453/data/data7.in
 create mode 100644 S2OJ/1453/data/data7.out
 create mode 100644 S2OJ/1453/data/data8.in
 create mode 100644 S2OJ/1453/data/data8.out
 create mode 100644 S2OJ/1453/data/data9.in
 create mode 100644 S2OJ/1453/data/data9.out
 create mode 100644 S2OJ/1453/data/problem.conf

diff --git a/S2OJ/1453/1453.cpp b/S2OJ/1453/1453.cpp
new file mode 100644
index 00000000..b66bf76f
--- /dev/null
+++ b/S2OJ/1453/1453.cpp
@@ -0,0 +1,58 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e5 + 5;
+const int mod = 998244353;
+
+int t, n, m, fac[N], inv[N], fac_inv[N];
+
+inline int binpow(int a, int b) {
+    a %= mod;
+
+    int res = 1;
+
+    while (b) {
+        if (b & 1) res = static_cast<long long>(res) * a % mod;
+        a = static_cast<long long>(a) * a % mod;
+        b >>= 1;
+    }
+
+    return res;
+}
+
+inline int C(int n, int m) {
+    return static_cast<long long>(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    fac[0] = 1;
+    for (int i = 1; i < N; i++) {
+        fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
+    }
+
+    inv[0] = inv[1] = 1;
+    for (int i = 2; i < N; i++) {
+        inv[i] = static_cast<long long>(mod - mod / i) * inv[mod % i] % mod;
+    }
+
+    fac_inv[0] = fac_inv[1] = 1;
+    for (int i = 2; i < N; i++) {
+        fac_inv[i] = static_cast<long long>(fac_inv[i - 1]) * inv[i] % mod;
+    }
+
+    cin >> t;
+
+    while (t--) {
+        cin >> n >> m;
+
+        cout << static_cast<long long>(binpow(2, n - m)) * C(n, m) % mod << endl;
+    }
+
+    return 0;
+}
diff --git a/S2OJ/1453/data/data1.in b/S2OJ/1453/data/data1.in
new file mode 100644
index 00000000..ccd2bfb8
--- /dev/null
+++ b/S2OJ/1453/data/data1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:637120e3536830555686b7611333e96951395f00b162d420575b57f8dc39415a
+size 1177918
diff --git a/S2OJ/1453/data/data1.out b/S2OJ/1453/data/data1.out
new file mode 100644
index 00000000..6817f097
--- /dev/null
+++ b/S2OJ/1453/data/data1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc613151d434b947d91c899c804ffb14fd3d1bea9d39dc9b14df45f52bb21e4a
+size 644425
diff --git a/S2OJ/1453/data/data10.in b/S2OJ/1453/data/data10.in
new file mode 100644
index 00000000..2dbe8c49
--- /dev/null
+++ b/S2OJ/1453/data/data10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e540223599f4bc8246208445f8249c3c0650b8249a1343f1f1981cb43a309ba6
+size 1181715
diff --git a/S2OJ/1453/data/data10.out b/S2OJ/1453/data/data10.out
new file mode 100644
index 00000000..6a16c9b5
--- /dev/null
+++ b/S2OJ/1453/data/data10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d56cfd428baaf5b2f788fcaab74b233d011cae35a6d734a5ad382ff5ac37e74a
+size 988874
diff --git a/S2OJ/1453/data/data2.in b/S2OJ/1453/data/data2.in
new file mode 100644
index 00000000..b2219228
--- /dev/null
+++ b/S2OJ/1453/data/data2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:511a95372d8ca23f4ec4f412bfe197cb3a7af4b3064ebb6a6c66b5597c61a041
+size 1181862
diff --git a/S2OJ/1453/data/data2.out b/S2OJ/1453/data/data2.out
new file mode 100644
index 00000000..0c681d2e
--- /dev/null
+++ b/S2OJ/1453/data/data2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c775bd1aac497b96e02c9eb5ea08afb2a815be0401ecf72b0b5b2994087dd7f
+size 988798
diff --git a/S2OJ/1453/data/data3.in b/S2OJ/1453/data/data3.in
new file mode 100644
index 00000000..cce8416d
--- /dev/null
+++ b/S2OJ/1453/data/data3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:508337c52c79630f2065d4ad5e995829cfbb3983729330d0db826feea52733cc
+size 789020
diff --git a/S2OJ/1453/data/data3.out b/S2OJ/1453/data/data3.out
new file mode 100644
index 00000000..0fa99ff7
--- /dev/null
+++ b/S2OJ/1453/data/data3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53857fab8e17cc49eacc709dcb2f3338d808926d6ecd446f0570419ec6fcfd72
+size 988685
diff --git a/S2OJ/1453/data/data4.in b/S2OJ/1453/data/data4.in
new file mode 100644
index 00000000..5d9746ea
--- /dev/null
+++ b/S2OJ/1453/data/data4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6fea0cb3d4e8327556a2d36b9edff7c4eda0a59b86fccbbe13b002bb3352ecb
+size 788838
diff --git a/S2OJ/1453/data/data4.out b/S2OJ/1453/data/data4.out
new file mode 100644
index 00000000..ebf733f7
--- /dev/null
+++ b/S2OJ/1453/data/data4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6716e7962c7638b55a1462e8a4d04f392dae822735705374acda3aaf88dadd15
+size 988900
diff --git a/S2OJ/1453/data/data5.in b/S2OJ/1453/data/data5.in
new file mode 100644
index 00000000..7a8fc6b9
--- /dev/null
+++ b/S2OJ/1453/data/data5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44c886816063a97f8ee6f5e27a552a3dd884dd5534801bab6be5f2521ac32dd6
+size 1178210
diff --git a/S2OJ/1453/data/data5.out b/S2OJ/1453/data/data5.out
new file mode 100644
index 00000000..0441c445
--- /dev/null
+++ b/S2OJ/1453/data/data5.out
@@ -0,0 +1,3 @@
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+oid sha256:22486206bfa4f250d091f281ee5ec4d61408f80313129b8975e2895a153d5afa
+size 980799
diff --git a/S2OJ/1453/data/data6.in b/S2OJ/1453/data/data6.in
new file mode 100644
index 00000000..77d6cc76
--- /dev/null
+++ b/S2OJ/1453/data/data6.in
@@ -0,0 +1,3 @@
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diff --git a/S2OJ/1453/data/data6.out b/S2OJ/1453/data/data6.out
new file mode 100644
index 00000000..d31dd407
--- /dev/null
+++ b/S2OJ/1453/data/data6.out
@@ -0,0 +1,3 @@
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+size 988952
diff --git a/S2OJ/1453/data/data7.in b/S2OJ/1453/data/data7.in
new file mode 100644
index 00000000..185880b1
--- /dev/null
+++ b/S2OJ/1453/data/data7.in
@@ -0,0 +1,3 @@
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+size 1181691
diff --git a/S2OJ/1453/data/data7.out b/S2OJ/1453/data/data7.out
new file mode 100644
index 00000000..cc23f6da
--- /dev/null
+++ b/S2OJ/1453/data/data7.out
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diff --git a/S2OJ/1453/data/data8.in b/S2OJ/1453/data/data8.in
new file mode 100644
index 00000000..c9e79728
--- /dev/null
+++ b/S2OJ/1453/data/data8.in
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diff --git a/S2OJ/1453/data/data8.out b/S2OJ/1453/data/data8.out
new file mode 100644
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diff --git a/S2OJ/1453/data/data9.in b/S2OJ/1453/data/data9.in
new file mode 100644
index 00000000..c6e7e6c2
--- /dev/null
+++ b/S2OJ/1453/data/data9.in
@@ -0,0 +1,3 @@
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diff --git a/S2OJ/1453/data/data9.out b/S2OJ/1453/data/data9.out
new file mode 100644
index 00000000..b3e89f92
--- /dev/null
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diff --git a/S2OJ/1453/data/problem.conf b/S2OJ/1453/data/problem.conf
new file mode 100644
index 00000000..ba9de959
--- /dev/null
+++ b/S2OJ/1453/data/problem.conf
@@ -0,0 +1,3 @@
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