This paper presents a novel fast, high-fidelity imaging method for ultracold atoms in optical lattices, achieving a 2.4 μs imaging duration with a fidelity of 99.4%. The technique uses accordion lattices to increase atom spacing, enabling site-resolved imaging beyond the diffraction limit. The authors demonstrate number-resolved imaging without parity projection, facilitating experiments on extended Hubbard models and other complex systems. The method is particularly useful for quantum simulations and quantum computing, reducing cycle times and improving resolution. The imaging setup involves a quantum gas microscope with a high-resolution objective and tunable spacing accordion lattices, allowing for rapid and precise imaging of atoms in optical lattices. The paper also discusses the effects of imaging light recoil and the benefits of alternating pulsed imaging beams, which enhance imaging fidelity by minimizing momentum spread and bias. Additionally, the authors introduce binarization techniques to improve signal-to-noise ratios, achieving a fidelity of over 99.5% for 0 and 1 atoms per site. The method is applicable to various atoms and molecules in optical tweezers or lattices, and it enables the study of a wide range of physics phenomena, including quantum phase transitions and topological phases.This paper presents a novel fast, high-fidelity imaging method for ultracold atoms in optical lattices, achieving a 2.4 μs imaging duration with a fidelity of 99.4%. The technique uses accordion lattices to increase atom spacing, enabling site-resolved imaging beyond the diffraction limit. The authors demonstrate number-resolved imaging without parity projection, facilitating experiments on extended Hubbard models and other complex systems. The method is particularly useful for quantum simulations and quantum computing, reducing cycle times and improving resolution. The imaging setup involves a quantum gas microscope with a high-resolution objective and tunable spacing accordion lattices, allowing for rapid and precise imaging of atoms in optical lattices. The paper also discusses the effects of imaging light recoil and the benefits of alternating pulsed imaging beams, which enhance imaging fidelity by minimizing momentum spread and bias. Additionally, the authors introduce binarization techniques to improve signal-to-noise ratios, achieving a fidelity of over 99.5% for 0 and 1 atoms per site. The method is applicable to various atoms and molecules in optical tweezers or lattices, and it enables the study of a wide range of physics phenomena, including quantum phase transitions and topological phases.