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Fluorescent DNA-binding dyes are extensively employed as probe and biosensing in biological detection and imaging. Experiments and theoretical calculations of thiazole orange homodimeric (TOTO) dye binding to a single-strand DNA (ssDNA), poly(dG)_n (n = 2, 4, 6, 8), reveal that the n = 6 complex shows about 300-fold stronger fluorescence than n = 2, 4 and a slightly stronger one than n = 8 complexes, which is benefited from the length match between TOTO and poly(dG)₆. The machine learning, based on molecular dynamics trajectories, indicates that TOTO is featured by the dihedral angle along its backbone and its end-to-end distance, in which the latter one defines the stretch and hairpin structures of TOTO, respectively. The time-dependent density functional theory calculations on the low-lying excited states show that the stretched TOTO with π–π end-stacking binding mode can bring about strong …