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# Solution 4
# S with boxes ------------------------------------------------------------
p <- 
  ggplot(d, aes(x = CURRENT_FIX_X, y =CURRENT_FIX_Y)) +
  annotation_custom(grob = image_1, # Image
                    xmin= 0, # Coordinates to represent the image
                    xmax= 1000,
                    ymin= 0,
                    ymax= 800
  ) +
  coord_fixed(xlim = c(0, 1000), ylim = c(0, 700)) +
  geom_point(data= d, aes(x = CURRENT_FIX_X, y =CURRENT_FIX_Y),  # coordinates       
             color="black", # Color point
             # position=position_jitter(w=0.01,h=0.01), # Point plot desviation
             alpha=0.5) + # Point transaparecen
  
  stat_bin2d(bins = 10, colour = "gray", alpha = 0.5) +
  
  theme_bw() + # Kind of theme. I strongly recomend theme_bw
  scale_fill_gradientn(colours=colfunc(400)) + 
  guides(fill = guide_colorbar(barwidth = 0.5, barheight = 10)) +
  theme(legend.title=element_blank()) +
  scale_alpha_continuous(range=c(0.0, 1) , guide = FALSE) + # You can play with the range to show a better image. Range belongs to [0, 1] interval
  xlim(0, 1000) + # Control lim for x-axe
  ylim(0, 700) # Control lim for y-axe
print(p)
jpeg(filename = "Results/Solution4.jpeg", width = 1000, height = 700, units = "px")
print(p)
dev.off()
# E with boxes ------------------------------------------------------------