Finish week 1 problem set and merge sort in Rust

py/week_1_set_1.py

@@ -0,0 +1,50 @@
+import matplotlib.pyplot as plt
+import numpy as np
+
+n = np.arange(1, 1000, 1)
+
+# Version 1
+
+a = 2**np.log(n)
+b = 2**2**np.log(n)
+c = n**(5/2)
+d = 2**n**2
+e = (n**2)*np.log(n)
+
+# plt.plot(n, a, 'b', n, b, 'y')  # a < b
+# plt.plot(n, b, 'b', n, c, 'y')  # b > c
+# plt.plot(n, a, 'b', n, c, 'y')  # a < c
+
+# plt.plot(n, c, 'b', n, d, 'y')  # c << d
+# plt.plot(n, c, 'b', n, e, 'y')  # c > e
+# plt.plot(n, e, 'b', n, b, 'y')  # e < b
+# plt.plot(n, e, 'b', n, a, 'y')  # e > a
+
+# a < e < c < b < d
+
+n = np.arange(1, 1000, 1)
+# n = 1000
+a = np.sqrt(n)
+b = 10**n
+c = n**1.5
+d = 2**np.sqrt(np.log(n))
+e = n**5/3
+
+# print(a, b, c, d, e)
+# d < a < c < e < b
+# print(d < a, a < c, c < e, e < b)
+
+plt.plot(n, a, 'b', n, d, 'y') # a > d
+
+plt.show()
+
+"""
+1) n*log(n)
+2) True
+3) Yes if and Sometimes yes
+4) O(nk**2)
+5) :/ Tried:
+
+ecadb
+abecd
+"""