1 files changed, 14 insertions, 0 deletions
diff --git a/content/math/chineseRemainder.cpp b/content/math/chineseRemainder.cpp
new file mode 100644
index 0000000..ccbc5dc
--- /dev/null
+++ b/content/math/chineseRemainder.cpp
@@ -0,0 +1,14 @@
+struct CRT {
+	using lll = __int128;
+	lll M = 1, sol = 0; // Solution unique modulo M
+	bool hasSol = true;
+
+	// Adds congruence x = a (mod m)
+	void add(ll a, ll m) {
+		auto [d, s, t] = extendedEuclid(M, m);
+		if((a - sol) % d != 0) hasSol = false;
+		lll z = M/d * s;
+		M *= m/d;
+		sol = (z % M * (a-sol) % M + sol + M) % M;
+	}
+};