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-rw-r--r--content/math/minMod.cpp18
1 files changed, 18 insertions, 0 deletions
diff --git a/content/math/minMod.cpp b/content/math/minMod.cpp
new file mode 100644
index 0000000..2db060a
--- /dev/null
+++ b/content/math/minMod.cpp
@@ -0,0 +1,18 @@
+ll firstVal(ll a, ll m, ll l, ll r){
+ if(l == 0) return 0;
+ if(a == 0) return -1;
+ if((l-1)/a < r/a) return (l+a-1)/a*a;
+ ll s = (r+a-1)/a*a;
+ ll v = firstVal(m%a, a, s-r, s-l);
+ return v == -1 ? -1 : s - v;
+}
+
+ll minMod(ll n, ll m, ll a, ll b){
+ if(a == 0) return b;
+ ll g = gcd(m, a), c = b%g;
+ m /= g, a /= g, b /= g;
+ ll ai = multInv(a, m);
+ ll l = ai*b % m, r = (n-1 + ai*b) % m;
+ if(n >= m || l > r) return c;
+ return a * firstVal(ai, m, l, r) % m * g + c;
+} \ No newline at end of file