-- Apr 13 In-Class Exercise
[a] + [b] = [a,b] = 0.0075
[a,b] + [c] = [[a,b], c] = 0.015
[d] + [e] = [d,e] = 0.0225
[[a,b],c] + [f] = [[[a,b],c], f] = 0.03
[g] + [h] = [g,h] = 0.037500000000000006
[d,e] + [i] = [[d,e], i] = 0.045
[j] + [k] = [j, k] = 0.052500000000000005
[[[a,b],c], f] + [l] = [[[[a,b],c], f], l]= 0.06
[m] + [n] = [m, n] = 0.0675
[o] + [g,h] = [o, [g,h]] = 0.07500000000000001
[p] + [q] = [p, q] = 0.0825
[[d,e], i] + [r] = [[[d,e], i], r] = 0.09
[s] + [t] = [s, t] = 0.0975
[u] + [j, k] = [u, [j, k]] = 0.10500000000000001
[v] + [w] = [v, w] = 0.1125
[[[[a,b],c], f], l] + x = [[[[[a,b],c], f], l], x] = 0.12
[m, n] + [o, [g,h]] = [[m, n], [o, [g,h]]] = 0.14250000000000002
[p, q] + [[[d,e], i], r] = [[p, q], [[[d,e], i], r]]= 0.1725
[s, t] + [u, [j, k]] = [[s, t], [u, [j, k]]]=0.2025
[v, w] + [[[[[a,b],c], f], l], x] = [[v, w], [[[[[a,b],c], f], l], x]]= 0.23249999999999998
[y] + [z] = [y, z] = 0.25
[[m, n], [o, [g,h]]] + [[p, q], [[[d,e], i], r]] = [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]] = 0.315
[[s, t], [u, [j, k]]] + [[v, w], [[[[[a,b],c], f], l], x]] = [[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]] = 0.435
[y, z] + [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]] = [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]] = 0.565
[[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]] + [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]] = [[[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]], [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]]] = 1.0
[a] + [b] = [a,b] = 0.0075
[a,b] + [c] = [[a,b], c] = 0.015
[d] + [e] = [d,e] = 0.0225
[[a,b],c] + [f] = [[[a,b],c], f] = 0.03
[g] + [h] = [g,h] = 0.037500000000000006
[d,e] + [i] = [[d,e], i] = 0.045
[j] + [k] = [j, k] = 0.052500000000000005
[[[a,b],c], f] + [l] = [[[[a,b],c], f], l]= 0.06
[m] + [n] = [m, n] = 0.0675
[o] + [g,h] = [o, [g,h]] = 0.07500000000000001
[p] + [q] = [p, q] = 0.0825
[[d,e], i] + [r] = [[[d,e], i], r] = 0.09
[s] + [t] = [s, t] = 0.0975
[u] + [j, k] = [u, [j, k]] = 0.10500000000000001
[v] + [w] = [v, w] = 0.1125
[[[[a,b],c], f], l] + x = [[[[[a,b],c], f], l], x] = 0.12
[m, n] + [o, [g,h]] = [[m, n], [o, [g,h]]] = 0.14250000000000002
[p, q] + [[[d,e], i], r] = [[p, q], [[[d,e], i], r]]= 0.1725
[s, t] + [u, [j, k]] = [[s, t], [u, [j, k]]]=0.2025
[v, w] + [[[[[a,b],c], f], l], x] = [[v, w], [[[[[a,b],c], f], l], x]]= 0.23249999999999998
[y] + [z] = [y, z] = 0.25
[[m, n], [o, [g,h]]] + [[p, q], [[[d,e], i], r]] = [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]] = 0.315
[[s, t], [u, [j, k]]] + [[v, w], [[[[[a,b],c], f], l], x]] = [[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]] = 0.435
[y, z] + [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]] = [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]] = 0.565
[[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]] + [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]] = [[[[s, t], [u, [j, k]]], [[v, w], [[[[[a,b],c], f], l], x]]], [[y, z], [[[m, n], [o, [g,h]]], [[p, q], [[[d,e], i], r]]]]] = 1.0