From 955281f7cbacf840a74013c0553f7d4b5d4d5aa2 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Thu, 22 Dec 2022 21:28:16 +0800
Subject: [PATCH] =?UTF-8?q?2186.=20[Sdoi2008]=E6=B2=99=E6=8B=89=E5=85=AC?=
 =?UTF-8?q?=E4=B8=BB=E7=9A=84=E5=9B=B0=E6=83=91?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://hydro.ac/d/bzoj/record/63a45b69cf75a716a1673402
---
 BZOJ/2186/2186.cpp   | 70 ++++++++++++++++++++++++++++++++++++++++++++
 BZOJ/2186/data/1.in  |  3 ++
 BZOJ/2186/data/1.out |  3 ++
 BZOJ/2186/data/2.in  |  3 ++
 BZOJ/2186/data/2.out |  3 ++
 BZOJ/2186/data/3.in  |  3 ++
 BZOJ/2186/data/3.out |  3 ++
 BZOJ/2186/data/4.in  |  3 ++
 BZOJ/2186/data/4.out |  3 ++
 BZOJ/2186/data/5.in  |  3 ++
 BZOJ/2186/data/5.out |  3 ++
 BZOJ/2186/data/6.in  |  3 ++
 BZOJ/2186/data/6.out |  3 ++
 BZOJ/2186/data/7.in  |  3 ++
 BZOJ/2186/data/7.out |  3 ++
 BZOJ/2186/data/8.in  |  3 ++
 BZOJ/2186/data/8.out |  3 ++
 17 files changed, 118 insertions(+)
 create mode 100644 BZOJ/2186/2186.cpp
 create mode 100644 BZOJ/2186/data/1.in
 create mode 100644 BZOJ/2186/data/1.out
 create mode 100644 BZOJ/2186/data/2.in
 create mode 100644 BZOJ/2186/data/2.out
 create mode 100644 BZOJ/2186/data/3.in
 create mode 100644 BZOJ/2186/data/3.out
 create mode 100644 BZOJ/2186/data/4.in
 create mode 100644 BZOJ/2186/data/4.out
 create mode 100644 BZOJ/2186/data/5.in
 create mode 100644 BZOJ/2186/data/5.out
 create mode 100644 BZOJ/2186/data/6.in
 create mode 100644 BZOJ/2186/data/6.out
 create mode 100644 BZOJ/2186/data/7.in
 create mode 100644 BZOJ/2186/data/7.out
 create mode 100644 BZOJ/2186/data/8.in
 create mode 100644 BZOJ/2186/data/8.out

diff --git a/BZOJ/2186/2186.cpp b/BZOJ/2186/2186.cpp
new file mode 100644
index 00000000..1d21083e
--- /dev/null
+++ b/BZOJ/2186/2186.cpp
@@ -0,0 +1,70 @@
+#include <iostream>
+#include <algorithm>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e7 + 5;
+
+int t, mod, p, primes[N], fac[N], fac_phi[N];
+bool not_prime[N];
+
+int binpow(int a, int b) {
+    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;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> t >> mod;
+
+    for (int i = 2; i < N; i++) {
+        if (!not_prime[i]) primes[++p] = i;
+
+        for (int j = 1; j <= p && i * primes[j] < N; j++) {
+            not_prime[i * primes[j]] = true;
+
+            if (i % primes[j] == 0) break;
+        }
+    }
+
+    fac[0] = 1;
+
+    for (int i = 1; i < N; i++) {
+        if (i % mod) {
+            fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
+        } else {
+            fac[i] = fac[i - 1];
+        }
+    }
+
+    fac_phi[1] = 1;
+
+    for (int i = 2; i < N; i++) {
+        if (not_prime[i]) {
+            fac_phi[i] = static_cast<long long>(fac_phi[i - 1]) * i % mod;
+        } else {
+            fac_phi[i] = static_cast<long long>(fac_phi[i - 1]) * (i - 1) % mod;
+        }
+    }
+
+    while (t--) {
+        int n, m;
+
+        cin >> n >> m;
+
+        cout << (n / mod > m / mod ? 0 : static_cast<long long>(fac[n]) * fac_phi[m] % mod * binpow(fac[m], mod - 2) % mod) << endl;
+    }
+
+    return 0;
+}
diff --git a/BZOJ/2186/data/1.in b/BZOJ/2186/data/1.in
new file mode 100644
index 00000000..f5e903fe
--- /dev/null
+++ b/BZOJ/2186/data/1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e175c286a90ddda62c9b41af7108ccb738bf370a0ff83e0ece72c12198860e2
+size 22911
diff --git a/BZOJ/2186/data/1.out b/BZOJ/2186/data/1.out
new file mode 100644
index 00000000..0e3256f0
--- /dev/null
+++ b/BZOJ/2186/data/1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c156b9891acb989d3d3fccd2413c0ae18b4932929e749a79b6bc8a425d06871
+size 13830
diff --git a/BZOJ/2186/data/2.in b/BZOJ/2186/data/2.in
new file mode 100644
index 00000000..a9be7436
--- /dev/null
+++ b/BZOJ/2186/data/2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 134685
diff --git a/BZOJ/2186/data/2.out b/BZOJ/2186/data/2.out
new file mode 100644
index 00000000..63def87c
--- /dev/null
+++ b/BZOJ/2186/data/2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ab421ed8335de083eec3a8badbf884be3058f34b188d2772216e2bf951f2818
+size 77678
diff --git a/BZOJ/2186/data/3.in b/BZOJ/2186/data/3.in
new file mode 100644
index 00000000..29ac10c5
--- /dev/null
+++ b/BZOJ/2186/data/3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 132234
diff --git a/BZOJ/2186/data/3.out b/BZOJ/2186/data/3.out
new file mode 100644
index 00000000..a863f022
--- /dev/null
+++ b/BZOJ/2186/data/3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d430316045da5a801ace2a8db305754c3da4224afaae554a36a33de848318c3
+size 72139
diff --git a/BZOJ/2186/data/4.in b/BZOJ/2186/data/4.in
new file mode 100644
index 00000000..3d28fc24
--- /dev/null
+++ b/BZOJ/2186/data/4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adec7f177f12e03bd9e30a4104ffc008b7a42ba27f6c6542a56806e807114184
+size 154812
diff --git a/BZOJ/2186/data/4.out b/BZOJ/2186/data/4.out
new file mode 100644
index 00000000..5369e3f1
--- /dev/null
+++ b/BZOJ/2186/data/4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 88887
diff --git a/BZOJ/2186/data/5.in b/BZOJ/2186/data/5.in
new file mode 100644
index 00000000..4f7153a3
--- /dev/null
+++ b/BZOJ/2186/data/5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3477635ac64456fe7863094a2259ce7a71366c6770ea874c1e121a0828343b2
+size 26
diff --git a/BZOJ/2186/data/5.out b/BZOJ/2186/data/5.out
new file mode 100644
index 00000000..709258f4
--- /dev/null
+++ b/BZOJ/2186/data/5.out
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+size 9
diff --git a/BZOJ/2186/data/6.in b/BZOJ/2186/data/6.in
new file mode 100644
index 00000000..917716cc
--- /dev/null
+++ b/BZOJ/2186/data/6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c87f4a0b87aff3d92a9adb5c70d985dd42706a25b3432ad9b37701549fa45f4
+size 1368
diff --git a/BZOJ/2186/data/6.out b/BZOJ/2186/data/6.out
new file mode 100644
index 00000000..62697451
--- /dev/null
+++ b/BZOJ/2186/data/6.out
@@ -0,0 +1,3 @@
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diff --git a/BZOJ/2186/data/7.in b/BZOJ/2186/data/7.in
new file mode 100644
index 00000000..9b165119
--- /dev/null
+++ b/BZOJ/2186/data/7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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+size 154497
diff --git a/BZOJ/2186/data/7.out b/BZOJ/2186/data/7.out
new file mode 100644
index 00000000..ade5275d
--- /dev/null
+++ b/BZOJ/2186/data/7.out
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diff --git a/BZOJ/2186/data/8.in b/BZOJ/2186/data/8.in
new file mode 100644
index 00000000..54cc739e
--- /dev/null
+++ b/BZOJ/2186/data/8.in
@@ -0,0 +1,3 @@
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new file mode 100644
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+size 17