Tasks Details
easy
1.
EquiLeader
Find the index S such that the leaders of the sequences A[0], A[1], ..., A[S] and A[S + 1], A[S + 2], ..., A[N - 1] are the same.
Task Score
100%
Correctness
100%
Performance
100%
A non-empty array A consisting of N integers is given.
The leader of this array is the value that occurs in more than half of the elements of A.
An equi leader is an index S such that 0 ≤ S < N − 1 and two sequences A[0], A[1], ..., A[S] and A[S + 1], A[S + 2], ..., A[N − 1] have leaders of the same value.
For example, given array A such that:
A[0] = 4 A[1] = 3 A[2] = 4 A[3] = 4 A[4] = 4 A[5] = 2we can find two equi leaders:
- 0, because sequences: (4) and (3, 4, 4, 4, 2) have the same leader, whose value is 4.
- 2, because sequences: (4, 3, 4) and (4, 4, 2) have the same leader, whose value is 4.
The goal is to count the number of equi leaders.
Write a function:
def solution(A)
that, given a non-empty array A consisting of N integers, returns the number of equi leaders.
For example, given:
A[0] = 4 A[1] = 3 A[2] = 4 A[3] = 4 A[4] = 4 A[5] = 2the function should return 2, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..100,000];
- each element of array A is an integer within the range [−1,000,000,000..1,000,000,000].
Copyright 2009–2025 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.
Solution
Programming language used Python
Time spent on task 30 minutes
Notes
not defined yet
Code: 11:44:15 UTC,
java,
autosave
Code: 11:44:30 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer=0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
for i , _ in enumerate(A[:-1]):
first_count = 0
is_first = False
for num in A[:i + 1]:
if num == lead_num:
first_count += 1
if first_count > (i + 1) / 2:
is_first = True
if is_first:
second_count = 0
for num in A[i + 1:]:
if num == lead_num:
second_count += 1
if second_count > (a_length - i - 1) / 2:
answer += 1
continue
else:
continue
return answer
Code: 11:44:40 UTC,
py,
autosave
Code: 11:44:44 UTC,
py,
verify,
result: Failed
Analysis
expand all
Example tests
1.
0.036 s
WRONG ANSWER,
got 0 expected 2
stdout:
4
Code: 11:45:43 UTC,
py,
autosave
Code: 11:46:29 UTC,
py,
autosave
Code: 11:46:54 UTC,
py,
autosave
Analysis
expand all
Example tests
1.
0.036 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
Invalid result type, int expected, <class 'NoneType'> found.stdout:
4 3 4 4 4 2
Code: 11:48:48 UTC,
py,
autosave
Code: 11:50:15 UTC,
py,
autosave
Code: 11:54:32 UTC,
py,
autosave
Code: 11:54:53 UTC,
py,
verify,
result: Failed
Analysis
expand all
Example tests
1.
0.036 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
Invalid result type, int expected, <class 'NoneType'> found.stdout:
4
Code: 11:55:14 UTC,
py,
autosave
Code: 11:55:29 UTC,
py,
autosave
Code: 11:55:59 UTC,
py,
autosave
Code: 11:56:10 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
for i, num in enumerate(A):
Code: 11:57:23 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
for i, num in enumerate(A):
Code: 11:58:25 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
for i, num in enumerate(A):
c
Code: 11:58:36 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
Code: 11:59:05 UTC,
py,
verify,
result: Failed
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
print(i, num)
Analysis
expand all
Example tests
1.
0.044 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
Invalid result type, int expected, <class 'NoneType'> found.stdout:
4 0 4 1 3 2 4 3 4 4 4 5 2
Code: 11:59:13 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
Code: 11:59:31 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
lead_hash[i] =
Code: 12:04:04 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
lead_hash[i] = 나는
Code: 12:04:30 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
print(lead_num)
lead_hash = collections.defaultdict(int)
count = 0
for i, num in enumerate(A):
if num == 4:
count += 1
lead_hash[i] = count
Code: 12:04:43 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == 4:
count += 1
lead_hash[i] = count
Code: 12:04:53 UTC,
py,
autosave
Code: 12:05:10 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == 4:
count += 1
Code: 12:05:25 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
Code: 12:05:36 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
Code: 12:06:06 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
Code: 12:07:49 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if
Code: 12:08:56 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if cou
Code: 12:09:16 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2
Code: 12:09:37 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and
Code: 12:10:08 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a
Code: 12:10:19 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
break
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and
Code: 12:10:30 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and
Code: 12:11:07 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a
Code: 12:11:24 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num]
Code: 12:11:34 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] -
Code: 12:11:48 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count>
Code: 12:12:15 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2
Code: 12:12:26 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
answer = []
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
Code: 12:12:36 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
Code: 12:12:47 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
answer = 0
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
Code: 12:12:58 UTC,
py,
autosave
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
answer = 0
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
print(answer)
Code: 12:13:07 UTC,
py,
verify,
result: Passed
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
answer = 0
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
return answer
Analysis
Code: 12:13:13 UTC,
py,
verify,
result: Passed
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
answer = 0
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
return answer
Analysis
Code: 12:13:26 UTC,
py,
final,
score: 
100
import collections
def solution(A):
a_length = len(A)
a_hash = collections.defaultdict(int)
lead_num = 0
for i, num in enumerate(A):
a_hash[num] += 1
if a_hash[num] > a_length/2:
lead_num = num
answer = 0
count = 0
for i, num in enumerate(A):
if num == lead_num:
count += 1
if count > (i + 1) / 2 and a_hash[lead_num] - count > (a_length - i - 1) /2 :
answer += 1
return answer
Analysis summary
The solution obtained perfect score.
Analysis
Detected time complexity:
O(N)
expand all
Correctness tests
1.
0.036 s
OK
2.
0.036 s
OK
3.
0.036 s
OK
1.
0.036 s
OK
2.
0.036 s
OK
3.
0.036 s
OK
1.
0.036 s
OK
2.
0.036 s
OK
1.
0.036 s
OK
1.
0.036 s
OK