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Nanosize thin flat silver strip in the air is considered as an optical resonator. The scattering characteristics of the H-polarized electromagnetic wave diffraction are analyzed using the decoupled singular and hyper-singular integral equations (IEs) for the electric and magnetic surface currents on the strip. IEs are discretized with the aid of the interpolation type quadrature formulas. This algorithm, also known as the method of discrete singularities (MDS), is numerically efficient and guarantees fast convergence and controlled accuracy of computations.