8: Remix

Write a program that takes a single input line of the form «number1»+«number2», where both of these represent positive integers, and outputs the sum of the two numbers. For example on input 5+12 the output should be 17. Hint

As mentioned in lesson 7A, a substring is any consecutive sequence of characters inside another string. The same substring may occur several times inside the same string: for example "assesses" has the substring "sses" 2 times, and "trans-Panamanian banana" has the substring "an" 6 times. Write a program that takes two lines of input, we call the first needle and the second haystack. Print the number of times that needle occurs as a substring of haystack.

In physics, for a pendulum with length L and initial angle A, its horizontal displacement X(T) at time T is given by the formula

X(T) = L × cos(A × cos(T × √9.8/L)) - L × cos(A)

Write a program which takes two lines of input; the first line is L and the second line is A. The output should be ten lines, giving the values of X(0), X(1), X(2), ..., X(9). For example, if the first line of input is 53.1 and the second line of input is 0.8, then the first line of output is 0.0 and the second line of output is 53.1*cos(0.8*cos(1*√9.8/53.1)) - 53.1*cos(0.8) ~ 2.6689.

For this program, the first line of input is an integer width. Then, there are some lines of text; the line "END" indicates the end of the text. You need to print out a centered version of the text, by adding periods .. to the left and right of each line of text, so that the total length of each line of text is width. (All input lines will have length at most width.) Centering means that the number of periods added to the left and added to the right should be equal if possible; if needed we allow one more period on the left than the right. For example, for input

13
Text
in
the
middle!
END

the correct output would be

.....Text....
......in.....
.....the.....
...middle!...

Hint

This program takes two lines of input. The first line is a "starting time" expressed in a 24-hour clock with leading zeroes, like 08:30 or 14:07. The second line is a duration D in minutes. Print out what time it will be D minutes after the starting time. For example, for input

12:30
47

the correct output would be 13:17. All times should be formatted as numbers between 00:00 and 23:59, but the time period may go over midnight. For example, on input

23:59
13

the correct output is 00:12. Hints: #1 #2

Several lessons ago we showed you the following diagram:

chr:      !   "   #   $   %   &   '   (   )   *   +   ,   -   .   /
asc: 32  33  34  35  36  37  38  39  40  41  42  43  44  45  46  47
chr:  0   1   2   3   4   5   6   7   8   9   :   ;   <   =   >   ?
asc: 48  49  50  51  52  53  54  55  56  57  58  59  60  61  62  63
chr:  @   A   B   C   D   E   F   G   H   I   J   K   L   M   N   O
asc: 64  65  66  67  68  69  70  71  72  73  74  75  76  77  78  79
chr:  P   Q   R   S   T   U   V   W   X   Y   Z   [   \   ]   ^   _
asc: 80  81  82  83  84  85  86  87  88  89  90  91  92  93  94  95
chr:  `   a   b   c   d   e   f   g   h   i   j   k   l   m   n   o
asc: 96  97  98  99  100 101 102 103 104 105 106 107 108 109 110 111
chr:  p   q   r   s   t   u   v   w   x   y   z   {   |   }   ~  
asc: 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127

Write a program which prints out this table. (The grader will ignore spaces at the end of the line.)