import random
import numpy as np
import matplotlib.pyplot as plt
def descartes(ax, ran_x, ran_y, ax_title,x_label = "x", y_label = "y"):
ax.set_xlabel(x_label, fontsize = 12)
ax.set_ylabel(y_label, fontsize = 12)
ax.set_xlim(ran_x[0], ran_x[1])
ax.set_ylim(ran_y[0], ran_y[1])
ax.set_title(ax_title, fontsize = 14)
ax.grid()
ax.axhline(0, color = "black")
ax.axvline(0, color = "black")
fig = plt.figure(figsize = (5, 5))
ax = fig.add_subplot(111)
title1 = "Kyoto University 2024 Math qu.2 NO1"
zz=[[]]
xx=[[0,1],[2,3],[5,6],[7,8],[9,10]]
yy=[[2,3],[4,5],[6,7],[8,9],[10,11]]
for i in range(len(xx)):
print(xx[i][0],xx[i][1],":",end="")
print(" ")
for j in range(len(yy)):
print(yy[j][0],yy[j][1],":",end="")
print(" ")
for i in range(len(xx)):
for j in range(len(yy)):
zz.append([(xx[i][0]+yy[j][0])/2,(xx[i][1]+yy[j][1])/2])
del zz[0]
print(zz)
#descartes(ax, [0, tdice/10], [0, 2],title1)
#yy=probability
#xx = np.arange(len(yy))
#ax.plot(xx ,yy , color = "blue")
#y1=[1]*len(xx)
#ax.plot(xx ,y1 , color = "red")
#plt.show()