About the Authors

Mitsuhiro Nakamura

Affiliation Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan

Naoki Masuda

masuda@mist.i.u-tokyo.ac.jp

Affiliations Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan, PRESTO, Japan Science and Technology Agency, Kawaguchi, Japan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: MN NM. Performed the experiments: MN. Analyzed the data: MN. Contributed reagents/materials/analysis tools: MN NM. Wrote the paper: MN NM.