tokens: We gratefully acknowledge the developers of iSALE-2D, including Gareth Collins, Kai Wunnemann, Dirk Elbeshausen, Boris Ivanov and Jay Melosh. Numerical computations were carried out on the PC cluster at Center for Computational Astrophysics, National Astronomical Observatory of Japan. We thank the referee, H.J. Melosh for helpful suggestions and comments. S.W. thank Alexander N. Krot for helpful comments and discussions on chondrules and also thank Brandon C. Johnson and Kosuke Kurosawa for kindly comments on simulations. The part of this research was carried out at JPL/Caltech under a contract with NASA. Y.H. is supported by JPL/Caltech.
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