Normal generators for mapping class groups are abundant

We provide a simple criterion for an element of the mapping class group closed surface to be normal generator group. apply this show that every nontrivial periodic is not hyperelliptic involution when genus at least 3. also give many examples pseudo-Anosov generators, answering question D. Long. In fact we with stretch factor less than $\\sqrt{2}$ generator. Even more, generators arbitrarily large factors and translation lengths on curve graph, disproving conjecture Ivanov.