From 7d50a57e6fb3a6c986c28adf2c60b9e39a9afe4a Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Tue, 19 Apr 2022 21:20:38 +0800
Subject: [PATCH] =?UTF-8?q?P1516=20=E9=9D=92=E8=9B=99=E7=9A=84=E7=BA=A6?=
 =?UTF-8?q?=E4=BC=9A?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://www.luogu.com.cn/record/74258790
---
 Luogu/P1516/P1516.cpp        | 46 ++++++++++++++++++++++++++++++++++++
 Luogu/P1516/data/P1516_1.in  |  3 +++
 Luogu/P1516/data/P1516_1.out |  3 +++
 3 files changed, 52 insertions(+)
 create mode 100644 Luogu/P1516/P1516.cpp
 create mode 100644 Luogu/P1516/data/P1516_1.in
 create mode 100644 Luogu/P1516/data/P1516_1.out

diff --git a/Luogu/P1516/P1516.cpp b/Luogu/P1516/P1516.cpp
new file mode 100644
index 00000000..eee3b549
--- /dev/null
+++ b/Luogu/P1516/P1516.cpp
@@ -0,0 +1,46 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+long long x, y, n, m, l;
+
+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, x, y);
+    long long t = x;
+    x = y;
+    y = t - a / b * y;
+    return g;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+
+    cin >> x >> y >> m >> n >> l;
+
+    long long b = n - m,
+              c = x - y,
+              xx, yy;
+
+    if (b < 0) {
+        b = -b;
+        c = -c;
+    }
+
+    long long g = exgcd(b, l, xx, yy);
+
+    if (c % g) {
+        cout << "Impossible" << endl;
+    } else {
+        cout << (c / g * xx % (l / g) + (l / g)) % (l / g) << endl;
+    }
+
+    return 0;
+}
diff --git a/Luogu/P1516/data/P1516_1.in b/Luogu/P1516/data/P1516_1.in
new file mode 100644
index 00000000..6223d980
--- /dev/null
+++ b/Luogu/P1516/data/P1516_1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdd9a455b20799d401d0cadd35d31b744e22f56c3e8bfc17bb2096940cc30ca5
+size 56
diff --git a/Luogu/P1516/data/P1516_1.out b/Luogu/P1516/data/P1516_1.out
new file mode 100644
index 00000000..f6ae125c
--- /dev/null
+++ b/Luogu/P1516/data/P1516_1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2932062842aa5099d8bf693215b6289f8ffd8f40c35ad8c7525a21a975732488
+size 12