{}
import numpy as np
import math
n=int(input("Enter number of entries : "))
t=list(map(float,input("Enter the values of time given : ").strip().split()))
v=list(map(float,input("Enter the values of capacitor voltage given : ").strip().split()))
T=float(input("Enter the time at which Vc is required : "))
t=np.array(t)
v=np.array(v)
h=t[1]-t[0]
r=(T-t[0])/h
dv=[]
dv.append(v[0])
diff=[]
for i in range (1,n):
diff=np.diff(v)
v=diff
dv.append(v[0])
print(dv)
m=1
sum=dv[0]
for k in range (1,n):
m=m*(r-(k-1))
sum=sum+((m*dv[k])/math.factorial(k))
print("At a time t=",T," msec. the capacitor voltage is",sum)