Created a file 'SOLUTIONS' with the anwsers

SOlUTIONS.md

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+Trace #1
+
+- m1(5) = 5 +m1(4) = 5 + 10 = 15
+m1(4) = 4 + m1(3) = 4 + 6 = 10
+m1(3) = 3 + m1(2) = 3 +3 =6
+m1(2) = 2 + m1(1) = 2+1 =3
+
+- m1(10) = 10 + m1(9) =  55
+m1(9) = 9 +m1(8) = 9 + 36 = 45
+m1(8) = 8 + m1(7) = 8 + 28 = 36
+m1(7) = 7 + m1(6) = 7 +21 =28
+m1(6) = 6 + m1(5) = 6+15 =21
+m1(5) = 5 +m1(4) = 5 + 10 = 15
+m1(4) = 4 + m1(3) = 4 + 6 = 10
+m1(3) = 3 + m1(2) = 3 +3 =6
+m1(2) = 2 + m1(1) = 2+1 =3
+
+- m1(0) = too deep!
+
+
+Trace #2
+
+- m2(123) = 3 + m2(12) =3+3=6
+m2(12) = 2 + m2(1) =2+1=3
+m2(1) = 1
+
+- m2(9005) = 5+m2(900)=5+9=14
+m2(900)=0+m2(90)=9
+m2(90)=0+m2(9)=0+9
+
+m2(-123)= -123
+
+
+Trace #3
+
+- m3(1) = m3(0) = 100
+
+- m3(13) = m3(12)
+m3(12) = m3(6)
+m3(6) = m3(3)
+m3(3) = m3(2)
+m3(2) = m3(1)
+m3(1) = m3(0) =  100
+
+-m3(-6) =  m3(-3)
+m3(-3) = m3(-4)
+m3(-4) = m3(-2)
+m3(-2) = m3 (-1) = 200
+
+
+Trace #4
+
+- m4(10,2) = 10 * m4(10,1)=10*10=100
+m4(10,1) = 10 * m4(10,0) = 10*1
+m4(10,0) = 1
+
+- m4(4,3) = 4 * m4(4,2) = 4 * 16 = 64
+m4(4,2) = 4 * m4(4,1) = 4*4 = 16
+m4(4,1) = 4 * m4(4,0) = 4
+
+- m4(5,0) = 1
+
+
+Trace #5
+- m5(“hi”)= “*” + m5(“i”)= “**”
+m5(“i”) = “*” + m5(“”) = “*”
+
+- m5(“”) = “”
+
+- m5(“Hi, there!”) = “*” + m5(“i, there!”) = “**********”
+m5(“i, there!”) = “*” + m5(“, there!”) = “*********”
+m5(“, there!”) = “*” + m5(“ there!”) = “********”
+m5(“ there!”) = “*” + m5(“there!”) = “*******”
+m5(“there!”) = “*” + m5(“here!”) = “******”
+m5(“here!”) = “*” + m5(“ere!”) = “*****”
+m5(“ere!”) = “*” + m5(“re!”) = “****”
+m5(“re!”) = “*” + m5(“e!”) = “***”
+m5(“e!”) = “*” + m5(“!”) = “**”
+m5(“!”) = “*” + m5(“”) = “*”
+
+
+Trace #6
+
+space=9
+- m6("goodnight moon") = m6("moon") + " " + "goodnight" = " moon goodnight"
+space = 4
+m6("moon") = m6("") + " " + "moon" = " moon"
+
+- m6("Ada Developers Academy") = m6("Developers Academy") + " " + "Ada" = " Academy Developers Ada"
+m6("Developers Academy") = m6("Academy") + " " + "Developers" = " Academy Developers"
+m6("Academy") = m6("") + " " + "Academy" = " Academy"
+
+- m6("Hi, there!") = m6("there!") + " " + "Hi," = "there! Hi,"
+m6("there!") = m6("") + " " + "there!" = " there!"