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#include "mod/crt3.hpp"
constexpr u32 mod_pow_constexpr(u64 a, u64 n, u32 mod) { a %= mod; u64 res = 1; FOR(32) { if (n & 1) res = res * a % mod; a = a * a % mod, n /= 2; } return res; } template <typename T, u32 p0, u32 p1, u32 p2> T CRT3(u64 a0, u64 a1, u64 a2) { static_assert(p0 < p1 && p1 < p2); static constexpr u64 x0_1 = mod_pow_constexpr(p0, p1 - 2, p1); static constexpr u64 x01_2 = mod_pow_constexpr(u64(p0) * p1 % p2, p2 - 2, p2); u64 c = (a1 - a0 + p1) * x0_1 % p1; u64 a = a0 + c * p0; c = (a2 - a % p2 + p2) * x01_2 % p2; return T(a) + T(c) * T(p0) * T(p1); }
#line 1 "mod/crt3.hpp" constexpr u32 mod_pow_constexpr(u64 a, u64 n, u32 mod) { a %= mod; u64 res = 1; FOR(32) { if (n & 1) res = res * a % mod; a = a * a % mod, n /= 2; } return res; } template <typename T, u32 p0, u32 p1, u32 p2> T CRT3(u64 a0, u64 a1, u64 a2) { static_assert(p0 < p1 && p1 < p2); static constexpr u64 x0_1 = mod_pow_constexpr(p0, p1 - 2, p1); static constexpr u64 x01_2 = mod_pow_constexpr(u64(p0) * p1 % p2, p2 - 2, p2); u64 c = (a1 - a0 + p1) * x0_1 % p1; u64 a = a0 + c * p0; c = (a2 - a % p2 + p2) * x01_2 % p2; return T(a) + T(c) * T(p0) * T(p1); }