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This assignment is based on Exercise 8.4 from your textbook. Each of the following Python functions is supposed to check whether its argument has any lowercase letters.


For each function, describe what it actually does when called with a string argument. If it does not correctly check for lowercase letters, give an example argument that produces incorrect results, and describe why the result is incorrect.


# 1


def any_lowercase1(s):

for c in s:

if c.islower():

return True

else:

return False



# 2


def any_lowercase2(s):

for c in s:

if 'c'.islower():

return 'True'

else:

return 'False'



# 3


def any_lowercase3(s):

for c in s:

flag = c.islower()

return flag



# 4


def any_lowercase4(s):

flag = False

for c in s:

flag = flag or c.islower()

return flag



# 5


def any_lowercase5(s):

for c in s:

if not c.islower():

return False

return True


write a UDF to return the descriptive [sum, count, min, mean, max] for a list of n number of input numbers.


Polynomial

Given polynomial, write a program that prints polynomial in Cix^Pi + Ci-1x^Pi-1 + .... + C1x + C0 format.Input


The first line contains a single integer N.

Next N lines contain two integers Pi, Ci separated with space, where Pi denotes power and Ci denotes coefficient of Pi.Output


Print the polynomial in the format Cix^Pi + Ci-1x^Pi-1 + .... + C1x + C0, where Pi's are powers in decreasing order, Ci is coefficient, and C0 is constant. There will be space before and after the plus or minus sign.

If the coefficient is zero, then don't print the term.

If the term with the highest degree is negative, the term should represent -Cix^Pi.

For the term where power is 1, represent it as C1x instead of C1x^1.

If the polynomial degree is zero and the constant term is also zero, then print 0 to represent the polynomial.

For term Cix^Pi, if the coefficient of the term Ci is 1, print x^Pi instead of 1x^Pi.Explanation


If N = 4

For power 0, the coefficient is 5

For power 1, the coefficient is 0

For power 2, the coefficient is 10

For power 3, the coefficient is 6.

Then polynomial represents "6x^3 + 10x^2 + 5"Constraints


N <= 100

0 <= Pi < 1000

-1000 <= Ci <= 1000

Sample Input

4

0 5

1 0

2 10

3 6

Sample Output

6x^3 + 10x^2 + 5

7x^4 + 6x^3 +x^2 + 3x + 2





Prefix Suffix

Write a program to check the overlapping of one string's suffix with the prefix of another string.Input


The first line of the input will contain a string A.

The second line of the input will contain a string B.Output


The output should contain overlapping word if present else print "No overlapping".Explanation


For example, if the given two strings, A and B, are "ramisgood" "goodforall"

The output should be "good" as good overlaps as a suffix of the first string and prefix of next.

Sample Input 1

ramisgood

goodforall

Sample Output 1

good

Sample Input 2

finally

restforall

Sample Output 2

No overlapping




Anti-Diagonals

Given a MxN matrix,write a program to print all Anti-Diagonals elements of matrix

Input

The first line of input will contain a M, N values separated by space.

The second line will contain matrix A of dimensions MxN.

Output

The output should contain anti-diagonal elements separated by a line.

Explanation

For example, if M = 4, N = 4

Matrix A:



4 4

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16


So the output should be

1

2 5

3 6 9

4 7 10 13

8 11 14

12 15

16


Sample Input 1

2 3

1 5 5

2 7 8

Sample Output 1

1

5 2

5 7

8

Sample Input 2

3 4

1 2 3 4

5 6 7 8

9 10 11 12

Sample Output 2

1

2 5

3 6 9

4 7 10

8 11

12




Matrix Rotations

You are given a square matrix A of dimensions NxN. You need to apply the below given 3 operations on the matrix A.


Rotation: It is represented as R S where S is an integer in {90, 180, 270, 360, 450, ...} which denotes the number of degrees to rotate. You need to rotate the matrix A by angle S in the clockwise direction. The angle of rotation(S) will always be in multiples of 90 degrees.


Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.

After the update, all the previous rotation operations have to be applied to the updated initial matrix.


Querying: It is represented as Q K L. You need to print the value at row index K and column index L of the matrix A. Input


The first line contains a single integer N.

Next N lines contain N space-separated integers Aij (i - index of the row, j - index of the column).

Next lines contain various operations on the array. Each operation on each line (Beginning either with R, U or Q).

-1 will represent the end of input.Output


For each Query operation print the element present at row index K and colum index L of the matrix in its current state.Explanation


For Input:

2

1 2

3 4

R 90

Q 0 0

Q 0 1

R 90

Q 0 0

U 0 0 6

Q 1 1

-1


Initial Matrix

1 2

3 4


For R 90, clockwise rotation by 90 degrees, the matrix will become

3 1

4 2


For Q 0 0, print the element at row index 0 and column index 0 of A, which is 3.

For Q 0 1, print the element at row index 0 and column index 1 of A, which is 1.


Again for R 90, clockwise rotation by 90 degrees, the matrix will become

4 3

2 1


For Q 0 0, print the element at row index 0 and column index 0 of A, which is 4.


For U 0 0 6, update the value at row index 0 and column index 1 in the initial matrix to 6. So the updated matrix will be,

6 2

3 4

After updating, we need to rotate the matrix by sum of all rotation angles applied till now(i.e. R 90 and R 90 => 90 + 90 => 180 degrees in clockwise direction).

After rotation the matrix will now become

4 3

2 6


Next for Q 1 1, print the element at row index 1 and column index 1 of A, which is 6.

output

3

1

4

6

Sample Input 1

2

1 2

3 4

R 90

Q 0 0

Q 0 1

R 90

Q 0 0

U 0 0 6

Q 1 1

-1

Sample Output 1

3

1

4

6

Sample Input 2

2

5 6

7 8

R 90

Q 0 1

R 270

Q 1 1

R 180

U 0 0 4

Q 0 0

-1

Sample Output 2

5

8

8




Temperature Conversion

You are given the temperature T of an object in one of Celsius, Fahrenheit, and Kelvin scales.

Write a program to print T in all scales viz Celsius, Fahrenheit, and Kelvin.

Formula to convert from Fahrenheit F to Celsius C is C = (F - 32) * 5 / 9.

Formula to convert from Kelvin K to Celsius C is C = K - 273.

Here "C", "F", "K" represent that the temperature scale is in Celsius, Fahrenheit and Kelvin scales respectively.

The input contains the temperature (a number) and the unit of the temperature scale (C, F, K) without any space.

The output contains temperature in Celsius, Fahrenheit and Kelvin scales in each line in the format similar to input and the value of the temperature is rounded to 2 decimal places.Input


The first line of the input contain a temperature Value in one of Celsius, Fahrenheit, and Kelvin scales.Output


The first line of output should contain the Celsius value and the unit of the Celsius without any space.

The second line of output should contain the Fahrenheit value and the unit of the Fahrenheit without any space.

The third line of output should contain the Kelvin value and the unit of the Kelvin without any space.Explanation


For example, if the given temperature Value is 25C then Celsius value is 25.0C, Fahrenheit value is 77.0F, and Kelvin value is 298.0K.

Sample Input 1

25C

Sample Output 1

25.0C

77.0F

298.0K

Sample Input 2

37.5F

Sample Output 2

3.06C

37.5F

276.06K




You are given a square matrix A of dimensions NxN. You need to apply the below given 3 operations on the matrix A.


Rotation: It is represented as R S where S is an integer in {90, 180, 270, 360, 450, ...} which denotes the number of degrees to rotate. You need to rotate the matrix A by angle S in the clockwise direction. The angle of rotation(S) will always be in multiples of 90 degrees.


Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.

After the update, all the previous rotation operations have to be applied to the updated initial matrix.


Querying: It is represented as Q K L. You need to print the value at row index K and column index L of the matrix A. Input


The first line contains a single integer N.

Next N lines contain N space-separated integers Aij (i - index of the row, j - index of the column).

Next lines contain various operations on the array. Each operation on each line (Beginning either with R, U or Q).

-1 will represent the end of input.Output


For each Query operation print the element present at row index K and colum index L of the matrix in its current state.Explanation


For Input:

2

1 2

3 4

R 90

Q 0 0

Q 0 1

R 90

Q 0 0

U 0 0 6

Q 1 1

-1


Initial Matrix

1 2

3 4


For R 90, clockwise rotation by 90 degrees, the matrix will become

3 1

4 2


For Q 0 0, print the element at row index 0 and column index 0 of A, which is 3.

For Q 0 1, print the element at row index 0 and column index 1 of A, which is 1.


Again for R 90, clockwise rotation by 90 degrees, the matrix will become

4 3

2 1


For Q 0 0, print the element at row index 0 and column index 0 of A, which is 4.


For U 0 0 6, update the value at row index 0 and column index 1 in the initial matrix to 6. So the updated matrix will be,

6 2

3 4

After updating, we need to rotate the matrix by sum of all rotation angles applied till now(i.e. R 90 and R 90 => 90 + 90 => 180 degrees in clockwise direction).

After rotation the matrix will now become

4 3

2 6


Next for Q 1 1, print the element at row index 1 and column index 1 of A, which is 6.

output

3

1

4

6


Given a MxN matrix,write a program to print all Anti-Diagonals elements of matrix

Input

The first line of input will contain a M, N values separated by space.

The second line will contain matrix A of dimensions MxN.

Output

The output should contain anti-diagonal elements separated by a line.

Explanation

For example, if M = 4, N = 4

Matrix A:


4 4

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16


so the output should be


1

2 5

3 6 9

4 7 10 13

8 11 14

12 15

16


a = 'ramisgood'

b = 'goodforall'


c = 'finally'

d = 'restforall'


e = "correct"

f = "wrong"


def longestSubstringFinder(string1, string2):

answer = ""

len1, len2 = len(string1), len(string2)

for i in range(len1):

match = ""

for j in range(len2):

if (i + j < len1 and string1[i + j] == string2[j]):

match += string2[j]

else:

if (len(match) > len(answer)): answer = match

match = ""

if answer == '':

return 'No overlapping'

else:

return answer


print(longestSubstringFinder(a, b))

print(longestSubstringFinder(c, d))

print(longestSubstringFinder(e,f))



when printing print(longestSubstringFinder(e,f)) getting "r" as output

but , output should be as "No overlapping"


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