Say, a dictionary is provided with certain values.
How to find the highest number ?
Input
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector = 5
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector = 5
l1 = list(td.values())
Based on vector value, it should print output.
vector is 5, so sum of the dict-values to form vector is 3,1,1
Corresponding keys are 5,4,1
so, the output should be 541 but slight change here.
Since value '1' is associated with multiple keys, it should pick up highest key,
so, output should be 544 instead of 541 (For above input, to brief about combinations without considering '1+1+1+1+1' to '44444')
Another example
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector = 7
Possible combinations:
3 # --> Key of 7
21 # --> Key of 6 & 1 (6+1 = 7)
24 # --> Key of 6 & 1 (6+1 = 7)
12 # --> Key of 1 & 6 (1+6 = 7)
42 # --> Key of 1 & 6 (1+6 = 7)
Output : 42 (Highest number)
Another
d1 = {1:9,2:4,3:2,4:2,5:6,6:3,7:2,8:2,9:1}
vector = 5
here, it would be 1+2+2 (988).
But, '1' can also be added 5 times to form vector 5,
which would be '99999'
Since #Patrick Artner requested for minimal reproducible example, posting this though doesn't work as expected.
from itertools import combinations
def find_sum_with_index(l1, vector):
index_vals = [iv for iv in enumerate(l1) if iv[1] < target]
for r in range(1, len(index_vals) + 1):
for perm in combinations(index_vals, r):
if sum([p[1] for p in perm]) == target:
yield perm
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector=5
l1=list(d1.values())
for match in find_sum_with_index(l1, vector):
print(dict(match))
Is there any specific algorithm to be chosen for these kind of stuffs ?
Similar to the other answer but allowing repeatedly using the same keys to get the max number of keys which values sum up to vector:
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector = 7
#create a dict that contains value -> max-key for that value
d2 = {}
for k,v in d1.items():
d2[v] = max(d2.get(v,-1), k)
def mod_powerset(iterable,l):
# uses combinations_with_replacement to allow multiple usages of one value
from itertools import chain, combinations_with_replacement
s = list(set(iterable))
return chain.from_iterable(combinations_with_replacement(s, r) for r in range(l))
# create all combinations that sum to vector
p = [ s for s in mod_powerset(d1.values(),vector//min(d1.values())+1) if sum(s) == vector]
print(p)
# sort combinations by length then value descending and take the max one
mp = max( (sorted(y, reverse=True) for y in p), key=lambda x: (len(x),x))
# get the correct keys to be used from d2 dict
rv = [d2[num] for num in mp]
# sort by values, biggest first
rv.sort(reverse=True)
# solution
print(''.join(map(str,rv)))
Original powerset - see itertools-recipes.
There are some steps involved, see documentation in comments in code:
d1 = {1: 1, 2: 6, 3: 7, 4: 1, 5: 3}
vector = 7
# create a dict that contains value -> sorted key-list, used to get final keys
from collections import defaultdict
d2 = defaultdict(list)
for k,v in d1.items():
d2[v].append(k)
for k,v in d2.items():
d2[k] = sorted(v, reverse=True)
from itertools import chain, combinations
def powerset(iterable):
"see itertools: powerset([1,2,3]) --> () (1,) (2,) (3,) (1,2) (1,3) (2,3) (1,2,3)"
s = list(iterable)
return chain.from_iterable(combinations(s, r) for r in range(len(s)+1))
# create all combinations that sum to vector
p = [ s for s in powerset(d1.values()) if sum(s) == vector]
# sort combinations by length then value descending and take the max one
mp = max( (sorted(y, reverse=True) for y in p), key=lambda x: (len(x),x))
# get the correct keys to be used from d2 dict
rv = []
for num in mp:
rv.append(d2[num][0])
# remove used key from list
d2[num][:] = d2[num][1:]
# sort by values, biggest first
rv.sort(reverse=True)
# solution
print(''.join(map(str,rv)))
For powerset - see itertools-recipes.
Related
I am trying to solve the following problem:
Write a function solution(l) that takes a list of positive integers l and counts the number of "lucky triples" of (li, lj, lk) where the list indices meet the requirement i < j < k. The length of l is between 2 and 2000 inclusive. A "lucky triple" is a tuple (x, y, z) where x divides y and y divides z, such as (1, 2, 4). The elements of l are between 1 and 999999 inclusive. The solution fits within a signed 32-bit integer. Some of the lists are purposely generated without any access codes to throw off spies, so if no triples are found, return 0.
For example, [1, 2, 3, 4, 5, 6] has the triples: [1, 2, 4], [1, 2, 6], [1, 3, 6], making the solution 3 total.
My solution only passes the first two tests; I am trying to understand what it is wrong with my approach rather then the actual solution. Below is my function for reference:
def my_solution(l):
from itertools import combinations
if 2<len(l)<=2000:
l = list(combinations(l, 3))
l= [value for value in l if value[1]%value[0]==0 and value[2]%value[1]==0]
#l= [value for value in l if (value[1]/value[0]).is_integer() and (value[2]/value[1]).is_integer()]
if len(l)<0xffffffff:
l= len(l)
return l
else:
return 0
If you do nested iteration of the full list and remaining list, then compare the two items to check if they are divisors... the result counts as the beginning and middle numbers of a 'triple',
then on the second round it will calculate the third... All you need to do is track which ones pass the divisor test along the way.
For Example
def my_solution(l):
row1, row2 = [[0] * len(l) for i in range(2)] # Tracks which indices pass modulus
for i1, first in enumerate(l):
for i2 in range(i1+1, len(l)): # iterate the remaining portion of the list
middle = l[i2]
if not middle % first: # check for matches
row1[i2] += 1 # increment the index in the tracker lists..
row2[i1] += 1 # for each matching pair
result = sum([row1[i] * row2[i] for i in range(len(l))])
# the final answer will be the sum of the products for each pair of values.
return result
To find all possible combinations that can be added to make given sum.
Combinations can be formed with multiple elements and also if any single element exists.
Input:
l1 = [9,1, 2, 7, 6, 1, 5]
target = 8
**Constraints**
1<=(len(l1))<=500000
1<=each_list_element<=1000
Output:
Format : {index:element}
{1:1, 5:1, 4:6} #Indices : 1,5,4 Elements : 1,1,6
{1:1, 2:2, 6:5}
{5:1, 2:2, 6:5}
{1:1, 3:7}
{5:1, 3:7}
{2:2, 4:6}
More Scenarios:
Input = [4,6,8,5,3]
target = 3
Output {4:3}
Input = [4,6,8,3,5,3]
target = 3
Output {5:3,3:3}
Input = [1,2,3,15]
target = 15
Output {3:15}
Below code covers for all above scenarios.
Scenarios to be handled, along with above.
Input =[1,6,7,1,3]
target=5
Output={0:1,3:1,4:3} , {0:1,0:1,4:3}, {3:1,3:1,4:3}
Input=[9,6,8,1,7]
target=5
Output={3:1,3:1,3:1,3:1,3:1}
As suggested by #Chris Doyle in previous question, will be using that code.
(How to find indices and combinations that adds upto given sum?)
Code:
from itertools import combinations
def find_sum_with_index(l1, target):
index_vals = [iv for iv in enumerate(l1) if iv[1] < target]
for r in range(1, len(index_vals) + 1):
for perm in combinations(index_vals, r):
if sum([p[1] for p in perm]) == target:
yield perm
l1 = [9, 1, 2, 7, 6, 1, 5]
target = 8
for match in find_sum_with_index(l1, target):
print(dict(match))
You can use dictionary comprehension
from itertools import combinations
l1 = [9,1, 2, 7, 6, 1, 5]
target = 8
for i in range(len(l1)):
for c in combinations(l1,i):
if sum(c) == target:
res = { i:x for i,x in enumerate(c)}
print(res)
Basically, I am trying to extract the values from one dictionary and update the value in another dictionary. I have four lists as follows:
a = [1,1,2,3,4,5]
b = [0,3,0,5,6,0]
c = [2,3,4,5,6,5]
d = [20,30,40,50,60,70]
So I use a defaultdict to store key,value pairs for a,b like:
one = defaultdict(list)
for k, v in zip(a, b):
one[k].append(v)
two = defaultdict(list)
for k, v in zip(c, d):
two[k].append(v)
Essentially, b is linked to c so I am trying to extract the values in the two dictionary and then update
the values in the one dictionary
So in the end one would look like {1: 30, 3: 50, 4: 60}
This is my code:
three = defaultdict(list)
for k, v in one.items():
if v in two.keys():
newvalue = two[v].values()
three[k].append(newvalue)
But I am now getting an error at line if v in two.keys(): as unhashable type: 'list'. I'm so lost, all
I want to do is use the values from one dictionary and then use those values to find the keys (which are the values
from the other table) and then get those corressponding values.
You are creating a dictionary of list in the beginning:
one = defaultdict(list)
for k, v in zip(a, b):
one[k].append(v)
[output] : defaultdict(list, {1: [0, 3], 2: [0], 3: [5], 4: [6], 5: [0]})
two = defaultdict(list)
for k, v in zip(c, d):
two[k].append(v)
[output] : defaultdict(list, {2: [20], 3: [30], 4: [40], 5: [50, 70], 6: [60]})
Therefore when calling k,v in one.items(), you are getting a key and a list.
Simply switch to iterate through the list , and you should be good to go
three = defaultdict(list)
for k, v in one.items():
for value in v:
if value in two.keys():
newvalue = two[value]
three[k].append(newvalue)
However I'm getting this output :
defaultdict(list, {1: [[30]], 3: [[50, 70]], 4: [[60]]})
Which sounds reasonable to me, but it is not your expected one, can you please explain ?
Let's try know with dic comprehension
output = { k : two[v_2] for k,v in one.items() for v_2 in v}
[output] : {1: [30], 2: [], 3: [50, 70], 4: [60], 5: []}
Request to sum :
Of course, multiple ways of doing it , the quickest is again with dict_comprehension and sum
output_sum = {k: sum(v) for k,v in output.items()}
i‘ m using Python 3.7.
I have an Array like this:
L1 = [1,2,3,-10,8,12,300,17]
Now i want to filter the values(the -10 and the 300 is not okay)
The values in the array may be different but always counting up or counting down.
Has Python 3 a integrated function for that?
The result should look like this:
L1 = [1,2,3,8,12,17]
Thank you !
Edit from comments:
I want to keep each element if it is only a certain distance (toleranz: 10 f.e.) distance away from the one before.
Your array is a list. You can use built in functions:
L1 = [1,2,3,-10,8,12,300,17]
min_val = min(L1) # -10
max_val = max(L1) # 300
p = list(filter(lambda x: min_val < x < max_val, L1)) # all x not -10 or 300
print(p) # [1, 2, 3, 8, 12, 17]
Doku:
min()
max()
filter()
If you want instead an incremental filter you go through your list of datapoints and decide if to keep or not:
delta = 10
result = []
last = L1[0] # first one as last value .. check the remaining list L1[1:]
for elem in L1[1:]:
if last-delta < elem < last+delta:
result.append(last)
last = elem
if elem-delta < result[-1] < elem+delta :
result.append(elem)
print(result) # [1, 2, 3, 8, 12, 17]
Q)After executing the code Need to print the values [1, 12, 123, 2, 23, 3, 13], but iam getting [1, 12, 123, 2, 23, 3]. I have missing the letter 13. can any one tell me the reason to overcome that error?
def get_all_substrings(string):
length = len(string)
list = []
for i in range(length):
for j in range(i,length):
list.append(string[i:j+1])
return list
values = get_all_substrings('123')
results = list(map(int, values))
print(results)
count = 0
for i in results:
if i > 1 :
if (i % 2) != 0:
count += 1
print(count)
Pretty straight forward issue in your nested for loops within get_all_substrings(), lets walk it!
You are iterating over each element of your string 123:
for i in range(length) # we know length to be 3, so range is 0, 1, 2
You then iterate each subsequent element from the current i:
for j in range(i,length)
Finally you append a string from position i to j+1 using the slice operator:
list.append(string[i:j+1])
But what exactly is happening? Well we can step through further!
The first value of i is 0, so lets skip the first for, go to the second:
for j in range(0, 3): # i.e. the whole string!
# you would eventually execute all of the following
list.append(string[0:0 + 1]) # '1'
list.append(string[0:1 + 1]) # '12'
list.append(string[0:2 + 1]) # '123'
# but wait...were is '13'???? (this is your hint!)
The next value of i is 1:
for j in range(1, 3):
# you would eventually execute all of the following
list.append(string[1:1 + 1]) # '2'
list.append(string[1:2 + 1]) # '23'
# notice how we are only grabbing values of position i or more?
Finally you get to i is 2:
for j in range(2, 3): # i.e. the whole string!
# you would eventually execute all of the following
list.append(string[2:2 + 1]) # '3'
I've shown you what is happening (as you've asked in your question), I leave it to you to devise your own solution. A couple notes:
You need to look at all index combinations from position i
Dont name objects by their type (i.e. dont name a list object list)
I would try something like this using itertools and powerset() recipe
from itertools import chain, combinations
def powerset(iterable):
s = list(iterable)
return chain.from_iterable(combinations(s, r) for r in range(len(s) + 1))
output = list(map(''.join, powerset('123')))
output.pop(0)
Here is another option, using combinations
from itertools import combinations
def get_sub_ints(raw):
return [''.join(sub) for i in range(1, len(raw) + 1) for sub in combinations(raw, i)]
if __name__ == '__main__':
print(get_sub_ints('123'))
>>> ['1', '2', '3', '12', '13', '23', '123']