on their color after being clicked (unclicked cells are always blue): (i) black cells are typically far from the target, (ii) yellow cells indicate that the target may be one of the neighboring cells and (iii) the single red cell is the target. The target is randomly located within a patch of yellow cells. Therefore, it provides partial information about the configuration of the board. Two different geometries for this set of yellow cells are explored here. First, in the next two sections they form a $N_{\mbox{\tiny{y}}}\times N_{\mbox{\tiny{y}}}$ [*neighborhood*]{} square region (Fig. \[fig:setup\]a). Second, in the last section of the Results they will outline a random patch whose size will be measured in terms of the number of yellow cells. Further details about the implementation of these random neighborhoods will be provided in that section. The discovery of a yellow cell indicates that the player is in the neighborhood of the target and thus reduces the area that needs to be scanned. For simplicity we fixed $N=20$ in all the experiments and then manipulated $N_{\mbox{\tiny{y}}}$.

To generate the dataset players access anonymously the game online and are asked to find the target using as few clicks (jumps on the board) 