Physical Zero-Knowledge Proof for Ripple Effect

Ripple Effect is a logic puzzle with an objective to fill numbers into rectangular grid divided rooms. Each room must contain consecutive integers starting from 1 its size. Also, if two cells in the same row or column have number x, space separating be at least x cells. In this paper, we propose physical protocol of zero-knowledge proof for using deck cards, which allows prover physically show that he/she knows solution without revealing it. particular, develop that, given secret and list numbers, verifies does not appear among first any list.