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#include "math/eea.hpp"
#pragma once #include "../template.hpp" /* * ax + by = gcd(a, b) * * we know * bx' + (a%b)y' = gcd(a, b) * * bx' + (a-b*(a//b))y' = gcd(a, b) * bx' + ay' - b*(a//b)y' = gcd(a, b) * ay' + b(x' - (a//b)y') = gcd(a, b) */ template <typename T> T extgcd(T a, T b, T &x, T &y) { if (b == 0) { x = 1; y = 0; return a; } T x0, y0, res = extgcd(b, a%b, x0, y0); x = y0; y = x0 - (a / b) * y0; return res; }
#line 2 "template.hpp" #include <bits/stdc++.h> #define DEBUG 1 using namespace std; // Defines #define fs first #define sn second #define pb push_back #define eb emplace_back #define mpr make_pair #define mtp make_tuple #define all(x) (x).begin(), (x).end() // Basic type definitions #if __cplusplus == 201703L // CPP17 only things template <typename T> using opt_ref = optional<reference_wrapper<T>>; // for some templates #endif using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair<int, int>; using pll = pair<long long, long long>; #ifdef __GNUG__ // PBDS order statistic tree #include <ext/pb_ds/assoc_container.hpp> // Common file #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; template <typename T, class comp = less<T>> using os_tree = tree<T, null_type, comp, rb_tree_tag, tree_order_statistics_node_update>; template <typename K, typename V, class comp = less<K>> using treemap = tree<K, V, comp, rb_tree_tag, tree_order_statistics_node_update>; // HashSet #include <ext/pb_ds/assoc_container.hpp> template <typename T, class Hash> using hashset = gp_hash_table<T, null_type, Hash>; template <typename K, typename V, class Hash> using hashmap = gp_hash_table<K, V, Hash>; const ll RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count(); struct chash { ll operator()(ll x) const { return x ^ RANDOM; } }; #endif // More utilities int SZ(string &v) { return v.length(); } template <typename C> int SZ(C &v) { return v.size(); } template <typename C> void UNIQUE(vector<C> &v) { sort(v.begin(), v.end()); v.resize(unique(v.begin(), v.end()) - v.begin()); } template <typename T, typename U> void maxa(T &a, U b) { a = max(a, b); } template <typename T, typename U> void mina(T &a, U b) { a = min(a, b); } const ll INF = 0x3f3f3f3f, LLINF = 0x3f3f3f3f3f3f3f3f; #line 3 "math/eea.hpp" /* * ax + by = gcd(a, b) * * we know * bx' + (a%b)y' = gcd(a, b) * * bx' + (a-b*(a//b))y' = gcd(a, b) * bx' + ay' - b*(a//b)y' = gcd(a, b) * ay' + b(x' - (a//b)y') = gcd(a, b) */ template <typename T> T extgcd(T a, T b, T &x, T &y) { if (b == 0) { x = 1; y = 0; return a; } T x0, y0, res = extgcd(b, a%b, x0, y0); x = y0; y = x0 - (a / b) * y0; return res; }