Compose Functions

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Problem

Read in function definitions, then make nested calls with the given input and output the result.

Options

exec is denied

now post-mortem time, all source codes will be revealed

Sample input:_

a(x) = x + 2
b(x) = x * 2
a(b(3))
b(a(3))

Sample output:

8
10

Sample input:_

a(x) = x * 4
b(x) = x - 6
c(x) = x + 7
d(x) = x + 3
e(x) = x - 7
f(x) = x * 1
g(x) = x * 8
h(x) = x + 5
i(x) = x * 5
j(x) = x + 2
k(x) = x - 3
l(x) = x - 1
m(x) = x - 9
n(x) = x - 7
o(x) = x + 4
p(x) = x + 2
q(x) = x + 4
r(x) = x - 5
s(x) = x * 4
t(x) = x + 6
u(x) = x - 2
v(x) = x + 9
w(x) = x * 3
c(n(9))
a(t(q(m(5))))
l(j(a(v(5))))
m(e(4))
m(k(3))
j(k(i(7)))
h(d(7))
t(r(4))
r(m(a(w(5))))
n(q(6))
j(d(2))
t(f(k(2)))
l(m(d(g(7))))
w(p(i(n(3))))
v(w(h(e(4))))
e(b(c(r(4))))
u(p(e(n(7))))
o(a(b(h(3))))
m(i(e(u(1))))
u(q(e(t(2))))
t(m(q(o(2))))
j(m(r(5)))
u(w(f(a(1))))

Sample output:

9
24
57
-12
-9
34
15
5
46
3
7
5
49
-54
15
-7
-7
12
-49
3
7
-7
10

Sample input:_

a(x) = x * 3
b(x) = x + 1
a(a(a(a(a(a(a(b(b(b(b(b(b(1)))))))))))))
a(b(a(b(a(b(a(b(a(b(a(b(a(b(2))))))))))))))

Sample output:

15309
7653

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