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Recent experiments using advanced laser spectroscopy technique revealed that the charge radii of neutron-deficient gold (Au), Hg and Pb isotopes exhibit significant changes in ground state deformation: odd-even shape staggering in the N = 98 ∼ 100 region and abrupt change of charge radii from N =108. In this study, we examine the abnormal shape evolution of the nuclear charge radii. We use many different DFT theories. The significant change in mean-squared charge radii (δ< r2 >) turns out to originate from nuclear shape transitions between prolate deformation and small oblate deformation due to the shape coexistence possibility. We elucidate the nuclear shape evolution by analyzing the evolution of occupation probability for single-particle states.