I have a problem where two strings of same length are given, and I have to tell how many letters I have to change in the first string to make it an anagram of the second.
Here is what I did:
count = 0
Mutable_str = ''.join(sorted("hhpddlnnsjfoyxpci"))
Ref_str = ''.join(sorted("ioigvjqzfbpllssuj"))
i = 0
while i < len(Mutable_str):
if Mutable_str[i] != Ref_str[i]:
count += 1
i += 1
print(count)
My algorithm in this case returned 16 as result. But the correct answer is 10. Can someone tell me what is wrong in my code?
Thank you very much!
You need to use str.count
So you need to add up the differences between the number of occurrences of each character in the different strings. This can be done with str.count(c) where c is each distinct character in the second string (got with set()). We then need to use max() on the difference with 0 so that if the difference is negative this doesn't effect the total differences.
So as you can see, it boils down to one neat little one-liner:
def changes(s1, s2):
return sum(max(0, s2.count(c) - s1.count(c)) for c in set(s2))
and some tests:
>>> changes("hhpddlnnsjfoyxpci", "ioigvjqzfbpllssuj")
10
>>> changes("abc", "bcd")
1
>>> changes("jimmy", "bobby")
4
Related
Given a number N, the function should convert the number to binary form, count the number of consecutive zero (the binary gap), and return the maximum binary gap. For example, 9 = 1001, the binary gap of length 2. The number 529 = 1000010001, has 2 binary gaps with length 4 and 3. If the number has 2 or more binary gaps, the function should return the maximum binary gap i.e. 4 in the case of N = 529.
I tried this function:
def solution(N):
binaryN = bin(N)[2:]
n = len(binaryN)
binaryGap = []
for i in range(n):
if binaryN[i] == 0 and binaryN[i + 1] == 0:
m = len(binaryN)
else:
return 0
binaryGap = binaryGap.append(m)
return max(binaryGap)
The function returns 0 for all values of N which is incorrect. How do I debug/improve the code to produce the accurate result?
Check out the below code. It would solve your problem.
The code is self-explanatory, yet let me know in-case of any doubts.
The Code:
import sys
num = int(sys.argv[1])
# Function to get the binary gap.
def binaryGapFinder(num):
binnum = bin(num).replace("0b", "") # binnum is binary form of the given number.
i = 0
x = 0
x_list = []
while i <= len(binnum)-1:
if binnum[i] == "0":
x += 1
if i == len(binnum)-1: # This loop will also consider if binary form is ending with 0. for example: 12 -> 1100
x_list.append(x)
else:
x_list.append(x)
x = 0
i += 1
return f"The Number: {num}\nIt's Binary Form: {binnum}\nMaximum Consecutive 0's: {max(x_list)}"
print(binaryGapFinder(num))
The Output:
python3 /the/path/to/your/script/binarygap.py 529
The Number: 529
It's Binary Form: 1000010001
Maximum Consecutive 0's: 4
python3 /the/path/to/your/script/binarygap.py 12
The Number: 12
It's Binary Form: 1100
Maximum Consecutive 0's: 2
python3 /the/path/to/your/script/binarygap.py 512
The Number: 512
It's Binary Form: 1000000000
Maximum Consecutive 0's: 9
There's a few issues here worth mentioning to aid you. (Just a side note to start with is that, in Python, it's recommended/best practice to use all lower case for variable names, so I'll replace them in my examples below.)
The bin() built in function returns a string. So you should be checking for equality with "0" (or '0') instead of an integer. e.g.
if binaryN[i] == "0" and binaryN[i + 1] == "0":
With Python you don't need to bother with checking for lengths of strings (or any other iterables) to use in a for loop in scenarios like this. e.g. You can replace:
n = len(binaryN)
for i in range(n):
with the more "Pythonic" way:
for bit in binary_number:
You can then use the variable bit (call it whatever you want of course, bearing in mind that good variable names make code more readable) instead of binary_number[index]. In this case, with each iteration of the for loop, bit will be replaced with the next character in the binary_number string.
From there on in your code:
m = len(binaryN)
will always be the same value, which is the total length of the string binaryN. e.g. 4 for '1001'.) This is not what you intended.
The first statement in your else block of code return 0 will terminate your function immediately and return 0 and thus your binaryGap = binaryGap.append(m) code will never, ever execute as it's unreachable due to that preceding return stopping any further execution of code in that suite.
You've got the right idea(s) and heading towards the right track for a solution but I don't think your code, even when the issues above are corrected, will match all possible binary numbers you may encounter. So, another possible alternative (and yet roughly sticking with the solution I think that you had in mind yourself) would be something like this which I hope will help you:
def solution(n):
binary_no = bin(n)[2:]
binary_gaps = []
gap_counter = 0
for bit in binary_no:
if bit == "0":
gap_counter += 1
else:
# Encountered a 1 so add current count of 0's -- if any -- to list and reset gap_counter
if gap_counter > 0:
binary_gaps.append(gap_counter)
gap_counter = 0
else:
# A for else suite (block of code) is run when all iterables have been exhausted.
if gap_counter > 0:
binary_gaps.append(gap_counter)
if binary_gaps: # If there is at least one element in the list
if len(binary_gaps) > 1:
return max(binary_gaps)
else:
return binary_gaps[0]
else:
# The list is empty, so no gaps were found at all. i.e. Binary number was all 1's.
return 0
print(solution(529))
Given a string I need to remove the smallest character and return the sum of indices of removed charecter.
Suppose the string is 'abcab' I need to remove first a at index 1.
We are left with 'bcab'. Now remove again a which is smallest in remaining string and is at index 3
We are left with 'bcb'.
In the same way remove b at index 1,then remove again b from 'cb' at index 2 and finally remove c
Total of all indices is 1+3+1+2+1=8
Question is simple but we need to do it in O(n). for that I need to remove kth element in O(1). In python del list[index] has time complexity O(n).
How can I delete in constant time using python
Edit
This is the exact question
You are given a string S of size N. Assume that count is equal to 0.
Your task is the remove all the N elements of string S by performing the following operation N times
• In a single operation, select an alphabetically smallest character in S, for example, Remove from S and add its index to count. If multiple characters such as c exist, then select that has the smallest index.
Print the value of count.
Note Consider 1-based indexing
Solve the problem for T test cases
Input format
The first line of the input contains an integer T denoting the number of test cases • The first line of each test case contains an integer N denoting the size of string S
• The second line of each test case contains a string S
Output format
For each test case print a single line containing one integer denoting the value of count
1<T, N < 10^5
• S contains only lowercase English alphabets
Sum of N over all test cases does not exceed 10
Sample input 1
5
abcab
Sample Output1
8
Explanation
The operations occur in the following order
Current string S= abcab', The alphabetically smallest character of s is 'a As there are 2 occurrences of a, we choose the first occurrence. Its Index 1 will be added to the count and a will be removed. Therefore, S becomes bcab
a will.be removed from 5 (bcab) and 3 will.be added to count
The first occurrence of b will be removed from (bcb) and 1 will be added to count.
b will be removed from s (cb) and 2 will be added to count
c will be removed from 5 (c) and 1 will be added to count
If you follow your procedure of repeatedly removing the first occurrence of the smallest character, then each character's index -- when you remove it -- is the number of preceding larger characters in the original string plus one.
So what you really need to do is find, for each character, the number of preceding larger characters, and then add up all those counts.
There are only 26 characters, so you can do this as you go with 26 counters.
Please link to the original problem statement, or copy/paste exactly what it says, without trying to explain it. As is, what you're asking for is impossible.
Forget deleting: if what you're asking for was possible, sorting would be worse-case O(n) (remove the minimum remaining n times, at O(1) cost for each), but it's well known that comparison-based sorting cannot do better than worst case O(n log n).
One bet: the original problem statement doesn't require that you delete anything - but instead that you return the result as if you had deleted.
With one pass over the input
Putting together various ideas, the final index of a character is one more than the number of larger characters seen before it. So it's possible to do this in one left-to-right pass over the input, using O(1) storage and O(n) time, while deleting nothing:
def crunch(s):
neq = [0] * 26
result = 0
orda = ord('a')
for ch in map(ord, s):
ch -= orda
result += sum(neq[i] for i in range(ch + 1, 26)) + 1
neq[ch] += 1
return result
For your original:
>>> crunch('abcab')
8
But it's also possible to process arbitary iterables one character at a time:
>>> from itertools import repeat, chain
>>> crunch(chain(repeat('y', 1000000), 'xz'))
2000002
x is originally at (1-based) index 1000001, which accounts for half the result. Then each of a million 'y's is conceptually deleted, each at index 1. Finally 'z' is at index 1, for a grand total of 2000002.
Looks like you're only interested in the resulting sum of indices and don't need to simulate this algorithm step by step.
In which case you could compute the result in the following way:
For each letter from a to z:
Have a counter of already removed letters set to 0
Iterate over the string and if you encounter the current letter add current_index - already_removed_counter to the result.
2a. If you encounter current or earlier (smaller) letter increase the counter as it already has been removed
The time complexity is 26 * O{n} which is O{n}.
Since there are only 26 distinct chatacters in the string, we can take each character separately and linearly traverse the string to find all its occurences. Keep a counter of how many chacters were found. Each time an occurence of a given character is found display its index decreased by the counter. Before switching to a new character, remove all the occurences of the previous one - this can be done in linear time.
res = 0
for c in 'a' .. 'z'
cnt = 0
for idx = 1 .. len(s)
if s[idx] = c
print idx - cnt
res += idx - cnt
cnt++
removeAll(s, c)
return res
where
removeAll(s,c):
i = 1
cnt = 0
n = len(s)
while (i < n)
if s[i + cnt] = c
cnt++
n--
else
s[i] = s[i + cnt]
i++
len(s) = n
It prints the elements of the sum to better illustrate what's going on.
Edit:
An updated version based on Igor's answer, that does not require actually removing elements. The complexity is the same i.e. O(n).
res = 0
for c in 'a' .. 'z'
cnt = 0
for idx = 1 .. len(s)
if s[idx] <= c
if s[idx] = c
print idx - cnt
res += idx - cnt
cnt++
return res
I'm trying to generate code to return the number of substrings within an input that are in sequential alphabetical order.
i.e. Input: 'abccbaabccba'
Output: 2
alphabet = 'abcdefghijklmnopqrstuvwxyz'
def cake(x):
for i in range(len(x)):
for j in range (len(x)+1):
s = x[i:j+1]
l = 0
if s in alphabet:
l += 1
return l
print (cake('abccbaabccba'))
So far my code will only return 1. Based on tests I've done on it, it seems it just returns a 1 if there are letters in the input. Does anyone see where I'm going wrong?
You are getting the output 1 every time because your code resets the count to l = 0 on every pass through the loop.
If you fix this, you will get the answer 96, because you are including a lot of redundant checks on empty strings ('' in alphabet returns True).
If you fix that, you will get 17, because your test string contains substrings of length 1 and 2, as well as 3+, that are also substrings of the alphabet. So, your code needs to take into account the minimum substring length you would like to consider—which I assume is 3:
alphabet = 'abcdefghijklmnopqrstuvwxyz'
def cake(x, minLength=3):
l = 0
for i in range(len(x)):
for j in range(i+minLength, len(x)): # carefully specify both the start and end values of the loop that determines where your substring will end
s = x[i:j]
if s in alphabet:
print(repr(s))
l += 1
return l
print (cake('abccbaabccba'))
I have 2 question regarding searching for strings in MATLAB
If I have to find a string in a cell array of strings I can do the following to get the location of 'PO' in the cell array
find(strcmpi({'PO','FOO','PO1','FOO1','PO1','PO'},'PO'))
% 1 6
But, I really want to search for multiple strings ({'PO1', 'PO'}) at the same time (not using a for loop). What is the best way to do this?
Is there any function like histc() which can tell me how many times the string has occurred. Again for one string, I could do:
length(strfind({'PO','FOO','PO1','FOO1','PO1','PO'},'PO'))
But this obviously doesn't work for multiple strings at a time.
If you want to find multiple strings, then just use the second output of ismember instead to tell you which string it is. If you really need case-insensitive matching, I've added the upper call to force all inputs to be upper-case. You can omit this if you think it's already uppercase.
data = {'PO','FOO','PO1','FOO1','PO1','PO', 'PO'};
[tf, inds] = ismember(upper(data), {'PO1', 'PO'});
% 2 0 1 0 1 2 2
You can then use the second output to determine which string was found where:
% PO1 Occurrences
find(inds == 1)
% 3 5
% PO Occurrences
find(inds == 2)
% 1 6 7
If you want the equivalent of histc, you can use accumarray to do that. We can pass it all of the values of inds that are non-zero (i.e. the ones that you were actually searching for).
accumarray(inds(tf).', ones(sum(tf), 1))
% 2 3
If instead you want to get the histogram of all strings (not just the ones you're searching for) you could do the following:
[strings, ~, inds] = unique(data, 'stable');
occurrences = accumarray(inds, ones(size(inds)));
% 'PO' [3]
% 'FOO' [1]
% 'PO1' [2]
% 'FOO1' [1]
I was tasked with reversing an integer recursively. I have an idea of how to formulate my base case but I'm unsure of what to put outside of the if statement. The parts I was unsure about are commented with question marks. With the first part, I don't know what to put and with the second part I'm unsure about whether it is correct or not.Thank you for the help.
Note: I'd like to avoid using external functions such as imports and things like these if possible.
def reverseDisplay(number):
if number < 10:
return number
return # ??????????
def main():
number = int(input("Enter a number: "))
print(number,end="") #???????????
reverseDisplay(number)
main()
I'm not going to give you the answer, but I'll give some hints. It looks like you don't want to convert it to a string -- this makes it a more interesting problem, but will result in some funky behavior. For example, reverseDisplay(100) = 1.
However, if you don't yet have a good handle on recursion, I would strongly recommend that you convert the input to a string and try to recursively reverse that string. Once you understand how to do that, an arithmetic approach will be much more straightforward.
Your base case is solid. A digit reversed is that same digit.
def reverseDisplay(n):
if n < 10:
return n
last_digit = # ??? 12345 -> 4
other_digits = # ??? You'll use last_digit for this. 12345 -> 1234
return last_digit * 10 ** ??? + reverseDisplay(???)
# ** is the exponent operator. If the last digit is 5, this is going to be 500...
# how many zeroes do we want? why?
If you don't want to use any string operations whatsoever, you might have to write your own function for getting the number of digits in an integer. Why? Where will you use it?
Imagine that you have a string 12345.
reverseDisplay(12345) is really
5 + reverseDisplay(1234) ->
4 + reverseDisplay(123) ->
3 + reverseDisplay(12) ->
2 + reverseDisplay(1) ->
1
Honestly, it might be a terrible idea, but who knows may be it will help:
Convert it to string.
Reverse the string using the recursion. Basically take char from the back, append to the front.
Parse it again.
Not the best performing solution, but a solution...
Otherwise there is gotta be some formula. For instance here:
https://math.stackexchange.com/questions/323268/formula-to-reverse-digits
Suppose you have a list of digits, that you want to turn into an int:
[1,2,3,4] -> 1234
You do this by 1*10^3 + 2*10^2 + 3*10^1 + 4.*10^0. The powers of 10 are exactly reversed in the case that you want to reverse the number. This is done as follows:
def reverse(n):
if n<10:
return n
return (n%10)*10**(int(math.log(n,10))) + reverse(n//10)
That math.log stuff simply determines the number of digits in the number, and therefore the power of 10 that should be multiplied.
Output:
In [78]: reverse(1234)
Out[78]: 4321
In [79]: reverse(123)
Out[79]: 321
In [80]: reverse(12)
Out[80]: 21
In [81]: reverse(1)
Out[81]: 1
In [82]: reverse(0)
Out[82]: 0
Does exactly what #GregS suggested in his comment. Key to reverse is to extract the last digit using the modulos operator and convert each extracted digit to a string, then simply join them back into the reverse of the string:
def reverseDisplay(number):
if number < 10:
return str(number)
return str(number % 10) + reverseDisplay(number / 10)
def main():
print (reverseDisplay(int(input("Enter a number: "))))
main()
Alternative method without using recursion:
def reverseDisplay(number):
return str(number)[::-1]