neighborhood, $N_{\mbox{\tiny{y}}}=5$ (Fig. \[fig3\]a). If we analyze the whole set of informed rounds, we observe a strong dominance of movements of length $N_{\mbox{\tiny{y}}}=5$ (green squares in Figure \[fig3\]a). This is due to the presence of approximately $50$ rounds in the dataset where players performed optimally designed systematic strategies that consist of moving in jumps of fixed length $N_{\mbox{\tiny{y}}}$ during the extensive phase. We will come back to this in the description of a random walk based model for this process. For the purposes of this section we will remove these systematic rounds and focus on the subset of stochastic strategies formed by the other $180$ rounds. The distribution of the length of the displacements is still dominated by jumps that cover a distance of the order of $N_{\mbox{\tiny{y}}}$ (red circles in Fig. \[fig3\]a). For the subset of blind searchers with $N_{\mbox{\tiny{y}}} = 5$, however, this distribution does not show a well defined typical scale and instead, players explore several scales as they look for the yellow region (Fig. \[fig3\]b). For the intensive phase, informed searches also show a higher abundance of one-cell displacements than the distribution of the blind searches (inset of Fig. \[fig3\]a and \[fig3\]b respectively). This result is 