From 7f6a4e3271329554151cce678240218b19f09ab4 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Thu, 17 Nov 2022 10:43:30 +0800
Subject: [PATCH] =?UTF-8?q?#6257.=20=E3=80=8CCodePlus=202017=2012=20?=
 =?UTF-8?q?=E6=9C=88=E8=B5=9B=E3=80=8D=E5=8F=AF=E5=81=9A=E9=A2=982?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://loj.ac/s/1634472
---
 LibreOJ/6257/6257.cpp    | 120 +++++++++++++++++++++++++++++++++++++++
 LibreOJ/6257/data/1.ans  |   3 +
 LibreOJ/6257/data/1.in   |   3 +
 LibreOJ/6257/data/10.ans |   3 +
 LibreOJ/6257/data/10.in  |   3 +
 LibreOJ/6257/data/2.ans  |   3 +
 LibreOJ/6257/data/2.in   |   3 +
 LibreOJ/6257/data/3.ans  |   3 +
 LibreOJ/6257/data/3.in   |   3 +
 LibreOJ/6257/data/4.ans  |   3 +
 LibreOJ/6257/data/4.in   |   3 +
 LibreOJ/6257/data/5.ans  |   3 +
 LibreOJ/6257/data/5.in   |   3 +
 LibreOJ/6257/data/6.ans  |   3 +
 LibreOJ/6257/data/6.in   |   3 +
 LibreOJ/6257/data/7.ans  |   3 +
 LibreOJ/6257/data/7.in   |   3 +
 LibreOJ/6257/data/8.ans  |   3 +
 LibreOJ/6257/data/8.in   |   3 +
 LibreOJ/6257/data/9.ans  |   3 +
 LibreOJ/6257/data/9.in   |   3 +
 21 files changed, 180 insertions(+)
 create mode 100644 LibreOJ/6257/6257.cpp
 create mode 100644 LibreOJ/6257/data/1.ans
 create mode 100644 LibreOJ/6257/data/1.in
 create mode 100644 LibreOJ/6257/data/10.ans
 create mode 100644 LibreOJ/6257/data/10.in
 create mode 100644 LibreOJ/6257/data/2.ans
 create mode 100644 LibreOJ/6257/data/2.in
 create mode 100644 LibreOJ/6257/data/3.ans
 create mode 100644 LibreOJ/6257/data/3.in
 create mode 100644 LibreOJ/6257/data/4.ans
 create mode 100644 LibreOJ/6257/data/4.in
 create mode 100644 LibreOJ/6257/data/5.ans
 create mode 100644 LibreOJ/6257/data/5.in
 create mode 100644 LibreOJ/6257/data/6.ans
 create mode 100644 LibreOJ/6257/data/6.in
 create mode 100644 LibreOJ/6257/data/7.ans
 create mode 100644 LibreOJ/6257/data/7.in
 create mode 100644 LibreOJ/6257/data/8.ans
 create mode 100644 LibreOJ/6257/data/8.in
 create mode 100644 LibreOJ/6257/data/9.ans
 create mode 100644 LibreOJ/6257/data/9.in

diff --git a/LibreOJ/6257/6257.cpp b/LibreOJ/6257/6257.cpp
new file mode 100644
index 00000000..87b95584
--- /dev/null
+++ b/LibreOJ/6257/6257.cpp
@@ -0,0 +1,120 @@
+#include <iostream>
+#include <algorithm>
+#include <cstring>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+class Matrix {
+  private:
+    long long data[10][10], mod;
+
+  public:
+    Matrix(long long _mod = 1e9 + 7)
+        : mod(_mod) {
+        memset(data, 0x00, sizeof(data));
+    }
+
+    long long *operator[](long long i) {
+        return data[i];
+    }
+
+    Matrix operator*(Matrix b) const {
+        Matrix c(mod);
+
+        int n = 2;
+
+        for (int i = 1; i <= n; i++) {
+            for (int j = 1; j <= n; j++) {
+                for (int k = 1; k <= n; k++) {
+                    c[i][j] = (c[i][j] + data[i][k] * b[k][j] % mod) % mod;
+                }
+            }
+        }
+
+        return c;
+    }
+};
+
+Matrix binpow(Matrix a, long long k, long long p) {
+    Matrix res(p);
+    res[1][1] = 1;
+    res[1][2] = 1;
+
+    while (k) {
+        if (k & 1) res = res * a;
+        a = a * a;
+        k >>= 1;
+    }
+
+    return res;
+}
+
+long long fib(long long n, long long p) {
+    if (n <= 2) {
+        return n != 0;
+    }
+
+    Matrix tmp(p);
+
+    tmp[1][1] = 1, tmp[1][2] = 1;
+    tmp[2][1] = 1, tmp[2][2] = 0;
+
+    return binpow(tmp, n - 2, p)[1][1];
+}
+
+long long exgcd(long long a, long long b, long long &x, long long &y) {
+    if (!b) {
+        x = 1, y = 0;
+        return a;
+    }
+
+    long long g = exgcd(b, a % b, y, x);
+    y -= a / b * x;
+
+    return g;
+}
+
+long long calc(long long x, long long y) {
+    if (x == 0) return 0;
+
+    return x < 0 ? -(-x + y - 1) / y : x / y;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int t;
+
+    cin >> t;
+
+    while (t--) {
+        long long i, l, r, k, p, m, x, y;
+
+        cin >> i >> l >> r >> k >> p >> m;
+
+        long long f1 = fib(k - 2, p),
+                  f2 = fib(k - 1, p);
+
+        long long a = f2,
+                  b = p,
+                  c = ((m - i % p * f1 % p) + p) % p,
+                  g = std::__gcd(a, b);
+
+        if (c % g) {
+            cout << 0 << endl;
+
+            continue;
+        }
+
+        a /= g, b /= g, c /= g;
+        exgcd(a, b, x, y);
+        x = (x * c % b + b) % b;
+
+        cout << calc(r - x, b) - calc(l - x - 1, b) << endl;
+    }
+
+    return 0;
+}
diff --git a/LibreOJ/6257/data/1.ans b/LibreOJ/6257/data/1.ans
new file mode 100644
index 00000000..54f75571
--- /dev/null
+++ b/LibreOJ/6257/data/1.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3334c2a6c46f1696ddbe00540db3c5325b79a98a038eefabd60227293571907e
+size 21
diff --git a/LibreOJ/6257/data/1.in b/LibreOJ/6257/data/1.in
new file mode 100644
index 00000000..819aa33d
--- /dev/null
+++ b/LibreOJ/6257/data/1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a16fa04aae1a19b2a71aaa866d97fa9342ed1296e26d5108c12207d01dbbdfb
+size 334
diff --git a/LibreOJ/6257/data/10.ans b/LibreOJ/6257/data/10.ans
new file mode 100644
index 00000000..daf9dffd
--- /dev/null
+++ b/LibreOJ/6257/data/10.ans
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+version https://git-lfs.github.com/spec/v1
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diff --git a/LibreOJ/6257/data/10.in b/LibreOJ/6257/data/10.in
new file mode 100644
index 00000000..7f593be4
--- /dev/null
+++ b/LibreOJ/6257/data/10.in
@@ -0,0 +1,3 @@
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diff --git a/LibreOJ/6257/data/2.ans b/LibreOJ/6257/data/2.ans
new file mode 100644
index 00000000..cc20ce8e
--- /dev/null
+++ b/LibreOJ/6257/data/2.ans
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diff --git a/LibreOJ/6257/data/2.in b/LibreOJ/6257/data/2.in
new file mode 100644
index 00000000..4da64037
--- /dev/null
+++ b/LibreOJ/6257/data/2.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32b608ef8e5e8aec38a7eefd2532a3f808f54bcf921d4ca7f9c167469407eb30
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diff --git a/LibreOJ/6257/data/3.ans b/LibreOJ/6257/data/3.ans
new file mode 100644
index 00000000..788d8cd9
--- /dev/null
+++ b/LibreOJ/6257/data/3.ans
@@ -0,0 +1,3 @@
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diff --git a/LibreOJ/6257/data/3.in b/LibreOJ/6257/data/3.in
new file mode 100644
index 00000000..9bbfa4c6
--- /dev/null
+++ b/LibreOJ/6257/data/3.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/LibreOJ/6257/data/4.ans b/LibreOJ/6257/data/4.ans
new file mode 100644
index 00000000..cbed4387
--- /dev/null
+++ b/LibreOJ/6257/data/4.ans
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
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diff --git a/LibreOJ/6257/data/4.in b/LibreOJ/6257/data/4.in
new file mode 100644
index 00000000..dba092c7
--- /dev/null
+++ b/LibreOJ/6257/data/4.in
@@ -0,0 +1,3 @@
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diff --git a/LibreOJ/6257/data/5.ans b/LibreOJ/6257/data/5.ans
new file mode 100644
index 00000000..1a0d0470
--- /dev/null
+++ b/LibreOJ/6257/data/5.ans
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new file mode 100644
index 00000000..ad44210b
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diff --git a/LibreOJ/6257/data/6.ans b/LibreOJ/6257/data/6.ans
new file mode 100644
index 00000000..c3fa6120
--- /dev/null
+++ b/LibreOJ/6257/data/6.ans
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new file mode 100644
index 00000000..0a83f5bb
--- /dev/null
+++ b/LibreOJ/6257/data/6.in
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new file mode 100644
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new file mode 100644
index 00000000..923da378
--- /dev/null
+++ b/LibreOJ/6257/data/7.in
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new file mode 100644
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new file mode 100644
index 00000000..a240adce
--- /dev/null
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diff --git a/LibreOJ/6257/data/9.ans b/LibreOJ/6257/data/9.ans
new file mode 100644
index 00000000..2ce397a3
--- /dev/null
+++ b/LibreOJ/6257/data/9.ans
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new file mode 100644
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--- /dev/null
+++ b/LibreOJ/6257/data/9.in
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