From f36ed8c800903c5549b5e2012b3bd4cdc2d75203 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Wed, 27 Jul 2022 19:51:46 +0800
Subject: [PATCH] =?UTF-8?q?#1486.=20=E3=80=902022.7.27=E3=80=91=E6=95=B0?=
 =?UTF-8?q?=E6=8D=AE=E7=BB=93=E6=9E=84=EF=BC=88set=EF=BC=89?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://sjzezoj.com/submission/54111
---
 S2OJ/1486/1486.cpp          | 75 +++++++++++++++++++++++++++++++++++++
 S2OJ/1486/data/problem.conf |  3 ++
 S2OJ/1486/data/set1.in      |  3 ++
 S2OJ/1486/data/set1.out     |  3 ++
 S2OJ/1486/data/set10.in     |  3 ++
 S2OJ/1486/data/set10.out    |  3 ++
 S2OJ/1486/data/set2.in      |  3 ++
 S2OJ/1486/data/set2.out     |  3 ++
 S2OJ/1486/data/set3.in      |  3 ++
 S2OJ/1486/data/set3.out     |  3 ++
 S2OJ/1486/data/set4.in      |  3 ++
 S2OJ/1486/data/set4.out     |  3 ++
 S2OJ/1486/data/set5.in      |  3 ++
 S2OJ/1486/data/set5.out     |  3 ++
 S2OJ/1486/data/set6.in      |  3 ++
 S2OJ/1486/data/set6.out     |  3 ++
 S2OJ/1486/data/set7.in      |  3 ++
 S2OJ/1486/data/set7.out     |  3 ++
 S2OJ/1486/data/set8.in      |  3 ++
 S2OJ/1486/data/set8.out     |  3 ++
 S2OJ/1486/data/set9.in      |  3 ++
 S2OJ/1486/data/set9.out     |  3 ++
 22 files changed, 138 insertions(+)
 create mode 100644 S2OJ/1486/1486.cpp
 create mode 100644 S2OJ/1486/data/problem.conf
 create mode 100644 S2OJ/1486/data/set1.in
 create mode 100644 S2OJ/1486/data/set1.out
 create mode 100644 S2OJ/1486/data/set10.in
 create mode 100644 S2OJ/1486/data/set10.out
 create mode 100644 S2OJ/1486/data/set2.in
 create mode 100644 S2OJ/1486/data/set2.out
 create mode 100644 S2OJ/1486/data/set3.in
 create mode 100644 S2OJ/1486/data/set3.out
 create mode 100644 S2OJ/1486/data/set4.in
 create mode 100644 S2OJ/1486/data/set4.out
 create mode 100644 S2OJ/1486/data/set5.in
 create mode 100644 S2OJ/1486/data/set5.out
 create mode 100644 S2OJ/1486/data/set6.in
 create mode 100644 S2OJ/1486/data/set6.out
 create mode 100644 S2OJ/1486/data/set7.in
 create mode 100644 S2OJ/1486/data/set7.out
 create mode 100644 S2OJ/1486/data/set8.in
 create mode 100644 S2OJ/1486/data/set8.out
 create mode 100644 S2OJ/1486/data/set9.in
 create mode 100644 S2OJ/1486/data/set9.out

diff --git a/S2OJ/1486/1486.cpp b/S2OJ/1486/1486.cpp
new file mode 100644
index 00000000..63cda4ba
--- /dev/null
+++ b/S2OJ/1486/1486.cpp
@@ -0,0 +1,75 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 2e5 + 5,
+          K = 55;
+const int mod = 1e9 + 7;
+
+int m, k, d, cnt;
+long long f[K][K], p[N][K], s[N][K], sum;
+
+long long binpow(long long a, long long b) {
+    a %= mod;
+
+    long long res = 1;
+
+    while (b) {
+        if (b & 1) res = res * a % mod;
+        a = a * a % mod;
+        b >>= 1;
+    }
+
+    return res;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> m >> k;
+
+    f[0][0] = 1;
+    for (int i = 1; i <= k; i++) {
+        f[i][0] = 1;
+
+        for (int j = 1; j <= i; j++) {
+            f[i][j] = (f[i - 1][j - 1] + f[i - 1][j]) % mod;
+        }
+    }
+
+    while (m--) {
+        int op;
+
+        cin >> op;
+
+        if (op == 0) {
+            int x;
+
+            cin >> x;
+
+            p[++cnt][0] = 1;
+            s[cnt][0] = (s[cnt - 1][0] + p[cnt][0]) % mod;
+
+            for (int i = 1; i <= k; i++) {
+                p[cnt][i] = (p[cnt][i - 1] * (x - d) % mod + mod) % mod;
+                s[cnt][i] = (s[cnt - 1][i] + p[cnt][i]) % mod;
+            }
+
+            sum = (sum + binpow(x, k)) % mod;
+        } else {  // op == 1
+            d++;
+
+            sum = 0;
+            for (int i = 0; i <= k; i++) {
+                sum = (sum + f[k][i] * binpow(d, i) % mod * s[cnt][k - i] % mod) % mod;
+            }
+        }
+
+        cout << sum << endl;
+    }
+
+    return 0;
+}
diff --git a/S2OJ/1486/data/problem.conf b/S2OJ/1486/data/problem.conf
new file mode 100644
index 00000000..44f9b1aa
--- /dev/null
+++ b/S2OJ/1486/data/problem.conf
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:845952a9aec741e791239d6248f1f6ee4ec8a208b8733f6a28999253bcf2dceb
+size 175
diff --git a/S2OJ/1486/data/set1.in b/S2OJ/1486/data/set1.in
new file mode 100644
index 00000000..ede1d1ae
--- /dev/null
+++ b/S2OJ/1486/data/set1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e8ce4eba67f48ddb691f94ae8b9f1956b4b2d44b1b0359ff6f4022e2347992e
+size 978202
diff --git a/S2OJ/1486/data/set1.out b/S2OJ/1486/data/set1.out
new file mode 100644
index 00000000..407efeb6
--- /dev/null
+++ b/S2OJ/1486/data/set1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:496f85985939c3a8ca95f5688ceee754f6e18c275eb91b46bb89f419fae5fa32
+size 1962018
diff --git a/S2OJ/1486/data/set10.in b/S2OJ/1486/data/set10.in
new file mode 100644
index 00000000..403734eb
--- /dev/null
+++ b/S2OJ/1486/data/set10.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a019236ee02d5b5ff5e8a32bd9720875832cbd4548d1c4c3291cffc2b385a71
+size 927328
diff --git a/S2OJ/1486/data/set10.out b/S2OJ/1486/data/set10.out
new file mode 100644
index 00000000..527c0bc8
--- /dev/null
+++ b/S2OJ/1486/data/set10.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2574d0a31681dcfab16502af2fc9d620eb1f8d4c42cde7909c014c6061e01af
+size 1855215
diff --git a/S2OJ/1486/data/set2.in b/S2OJ/1486/data/set2.in
new file mode 100644
index 00000000..1b9d1c3c
--- /dev/null
+++ b/S2OJ/1486/data/set2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d68377e5431ded829b310d584b6031bbd809068f1406389a0f14a7972f4140b3
+size 14597
diff --git a/S2OJ/1486/data/set2.out b/S2OJ/1486/data/set2.out
new file mode 100644
index 00000000..cfee0cb7
--- /dev/null
+++ b/S2OJ/1486/data/set2.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9f6d6254af38dd25f78ec0ac792165694e41afc1cb7ed7a9759765d9fb0539f
+size 29657
diff --git a/S2OJ/1486/data/set3.in b/S2OJ/1486/data/set3.in
new file mode 100644
index 00000000..6835e7ef
--- /dev/null
+++ b/S2OJ/1486/data/set3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5617db12423a36e4e452a66567a7b46449ee83d2a9c4e72df6a06d9b0f6ab393
+size 14782
diff --git a/S2OJ/1486/data/set3.out b/S2OJ/1486/data/set3.out
new file mode 100644
index 00000000..03cbfafb
--- /dev/null
+++ b/S2OJ/1486/data/set3.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5537c3c82d388188023d91c82c9703ac84ddcb43d09a2e1fdc7645e241500692
+size 29691
diff --git a/S2OJ/1486/data/set4.in b/S2OJ/1486/data/set4.in
new file mode 100644
index 00000000..bce6309f
--- /dev/null
+++ b/S2OJ/1486/data/set4.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d65c20d9beb2611039ceaaa3aab22f97eb8300bff4d87f4b25217d8bda501043
+size 903640
diff --git a/S2OJ/1486/data/set4.out b/S2OJ/1486/data/set4.out
new file mode 100644
index 00000000..87b1109e
--- /dev/null
+++ b/S2OJ/1486/data/set4.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18a2b08abce95b494e9ca91e71a4ed9a7a4ac4df16bcc664f86c01ebb21cdd4c
+size 1810602
diff --git a/S2OJ/1486/data/set5.in b/S2OJ/1486/data/set5.in
new file mode 100644
index 00000000..d16cc01c
--- /dev/null
+++ b/S2OJ/1486/data/set5.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bae9a29b3b407691617757fa03bed21763591f60813fc1bf90d3087ef9ced6ff
+size 932374
diff --git a/S2OJ/1486/data/set5.out b/S2OJ/1486/data/set5.out
new file mode 100644
index 00000000..0faf7d08
--- /dev/null
+++ b/S2OJ/1486/data/set5.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5e754e7fc171813ebbe5066407b71939388725520076d37f6ce4827ffa4fb1c
+size 1864033
diff --git a/S2OJ/1486/data/set6.in b/S2OJ/1486/data/set6.in
new file mode 100644
index 00000000..9472e4ca
--- /dev/null
+++ b/S2OJ/1486/data/set6.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:503984839aa192967e5aa53c83957a69c0347c69d27420b99555b6c242e6b832
+size 955928
diff --git a/S2OJ/1486/data/set6.out b/S2OJ/1486/data/set6.out
new file mode 100644
index 00000000..203bdeea
--- /dev/null
+++ b/S2OJ/1486/data/set6.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:892ddd05dc9db88bff192ee239970d2b673f3d7124b0bfe2cc8b846d8e57fb92
+size 1914062
diff --git a/S2OJ/1486/data/set7.in b/S2OJ/1486/data/set7.in
new file mode 100644
index 00000000..81a35d6b
--- /dev/null
+++ b/S2OJ/1486/data/set7.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0d6922262b62adf15631ac23628b33a21d24802471d5c32cc068be255448013
+size 942961
diff --git a/S2OJ/1486/data/set7.out b/S2OJ/1486/data/set7.out
new file mode 100644
index 00000000..ffd2bdb8
--- /dev/null
+++ b/S2OJ/1486/data/set7.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcc350cef524857839929156d571afdf5d8655aed162e34ecc4e844b0cd2cf98
+size 1885660
diff --git a/S2OJ/1486/data/set8.in b/S2OJ/1486/data/set8.in
new file mode 100644
index 00000000..bb0490d9
--- /dev/null
+++ b/S2OJ/1486/data/set8.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e34ee62b2c92d66bc0e2a523258b2ead3d25dc2b5550b13a9c2e9fff76cd20a
+size 978832
diff --git a/S2OJ/1486/data/set8.out b/S2OJ/1486/data/set8.out
new file mode 100644
index 00000000..27b51721
--- /dev/null
+++ b/S2OJ/1486/data/set8.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eca38aee1df8aa3b205cd9c6e62694cb7263605d34e1115d79eb762ba95a6fa4
+size 1957603
diff --git a/S2OJ/1486/data/set9.in b/S2OJ/1486/data/set9.in
new file mode 100644
index 00000000..51a1a876
--- /dev/null
+++ b/S2OJ/1486/data/set9.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b9ed96eb4b300eff448efec01d9996a4f2df91fcb0fe25bcad270df2e240ea2
+size 989218
diff --git a/S2OJ/1486/data/set9.out b/S2OJ/1486/data/set9.out
new file mode 100644
index 00000000..f993c083
--- /dev/null
+++ b/S2OJ/1486/data/set9.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:769404718e7f501b8c1109f747478654b57137691a03354568ad0c6053f130a1
+size 1976562