using minstd_rand0 =
linear_congruential_engine<uint_fast32_t, 16'807, 0, 2'147'483'647>;
using minstd_rand =
linear_congruential_engine<uint_fast32_t, 48'271, 0, 2'147'483'647>;
using mt19937 =
mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31,
0x9908'b0df, 11, 0xffff'ffff, 7, 0x9d2c'5680, 15, 0xefc6'0000, 18, 1'812'433'253>;
using mt19937_64 =
mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31,
0xb502'6f5a'a966'19e9, 29, 0x5555'5555'5555'5555, 17,
0x71d6'7fff'eda6'0000, 37, 0xfff7'eee0'0000'0000, 43, 6'364'136'223'846'793'005>;
using ranlux24_base =
subtract_with_carry_engine<uint_fast32_t, 24, 10, 24>;
using ranlux48_base =
subtract_with_carry_engine<uint_fast64_t, 48, 5, 12>;
using ranlux24 = discard_block_engine<ranlux24_base, 223, 23>;
using ranlux48 = discard_block_engine<ranlux48_base, 389, 11>;
using knuth_b = shuffle_order_engine<minstd_rand0,256>;
using philox4x32 =
philox_engine<uint_fast32_t, 32, 4, 10,
0xD2511F53, 0x9E3779B9, 0xCD9E8D57, 0xBB67AE85>;
using philox4x64 =
philox_engine<uint_fast64_t, 64, 4, 10,
0xD2E7470EE14C6C93, 0x9E3779B97F4A7C15, 0xCA5A826395121157, 0xBB67AE8584CAA73B>;