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chista_question1.md

Question

image

Answer

import pandas as pd

temp_list = []
for a in range(1,10):
    for b in range(1,10):
    # print(f'{a=}, {b=}')
        #if (100*a + b) % 11 == 0 :
            temp_list.append([a,b,10*a+b, 10*b+a, 100*a+ b, ])

         
            #print(f'possible {a=}, {b=}, {100*a + b}')
            #if ((100*a + b)  == 11*(a + b) ) or ((100*b + a)  == 11*(a + b)):
                # print(f'solution is {a=}, {b=}, {100*a + b}')


df = pd.DataFrame(temp_list, columns=['a','b','c1','c2','c3'])

df['n1'] = df['c2'] / df['c1']  # (x+1)/x
df['n2'] = df['c3'] / df['c2'] - 1  # (x+2)/(x+1)
df['verfiy'] = df['n2']  + 1 / df['n1']
df['x'] = (10*df['a']+df['b'])/ 45/df['a']

print(df.loc[df['verfiy'] == 1])
 	a 	b 	c1 	c2 	c3 	n1 	n2 	verfiy 	x
 	1 	6 	16 	61 	106 	3.8125 	0.737705 	1.0 	0.355556

$v = 45$ and therefore distant after next 2 hour is $106 + 2 \times 45 = 196$



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