Task description
A non-empty array A consisting of N integers is given. A pair of integers (P, Q), such that 0 ≤ P < Q < N, is called a slice of array A (notice that the slice contains at least two elements). The average of a slice (P, Q) is the sum of A[P] + A[P + 1] + ... + A[Q] divided by the length of the slice. To be precise, the average equals (A[P] + A[P + 1] + ... + A[Q]) / (Q − P + 1).
For example, array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8contains the following example slices:
- slice (1, 2), whose average is (2 + 2) / 2 = 2;
- slice (3, 4), whose average is (5 + 1) / 2 = 3;
- slice (1, 4), whose average is (2 + 2 + 5 + 1) / 4 = 2.5.
The goal is to find the starting position of a slice whose average is minimal.
Write a function:
def solution(A)
that, given a non-empty array A consisting of N integers, returns the starting position of the slice with the minimal average. If there is more than one slice with a minimal average, you should return the smallest starting position of such a slice.
For example, given array A such that:
A[0] = 4 A[1] = 2 A[2] = 2 A[3] = 5 A[4] = 1 A[5] = 5 A[6] = 8the function should return 1, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [2..100,000];
- each element of array A is an integer within the range [−10,000..10,000].
Task timeline
Traceback (most recent call last): File "exec.py", line 129, in <module> main() File "exec.py", line 91, in main result = solution( A ) File "/tmp/solution.py", line 8, in solution print(A[i], A[i+1],A[i+2] ) IndexError: list index out of rangestdout:
4 2 2 2 2 5 2 5 1 5 1 5 1 5 8
4 2 4 2 2 2 2 2 2 5 2 5 2 5 1 5 1 5 1 5 1 5 1 5 8
4 2 4 2 2 2 2 2 2 5 2 5 2 5 1 5 1 5 1 5 1 5 1 5 8 5 8
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin =
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg2 = (A[i], A[i+1])/2
if agg
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = 999999999
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg2 = (A[i], A[i+1])/2
if agg
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[i], A[i+1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg2 = (A[i], A[i+1])/2
if agg
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg2 = (A[i], A[i+1])/2
if agg
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg2 = (A[i], A[i+1])/2
if avg2 <
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i], A[i+1])/2
if avg2 < avgmin:
avgmin = avg
avgstart =
if i +3 <= alen:
print(A[i], A[i+1],A[i+2] )
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i], A[i+1])/2
if avg2 < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i], A[i+1])/2
if avg2 < avgmin:
avgmin = avg
avgstart = A[i]
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i], A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i], A[i+1]+A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return 0
Traceback (most recent call last): File "exec.py", line 129, in <module> main() File "exec.py", line 91, in main result = solution( A ) File "/tmp/solution.py", line 7, in solution avgmin = (A[0], A[1])/2 TypeError: unsupported operand type(s) for /: 'tuple' and 'int'
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i], A[i+1]+A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0], A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return 0
Traceback (most recent call last): File "exec.py", line 129, in <module> main() File "exec.py", line 91, in main result = solution( A ) File "/tmp/solution.py", line 7, in solution avgmin = (A[0], A[1])/2 TypeError: unsupported operand type(s) for /: 'tuple' and 'int'
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = A[i]
if i +3 <= alen:
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 <= alen:
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = A[i]
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 <= alen:
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 4, 5, 1, 5, 8, 2, 2]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i +3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1])/2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2])/3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
[4, 2, 4, 5, 1, 5, 8, 2, 2]
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
[4, 2, 4, 5, 1, 5, 8, 2, 2]
[1, 1]
function result: 1
function result: 7
function result: 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
[4, 2, 4, 5, 1, 5, 8, 2, 2]
[1, 1]
function result: 1
function result: 7
function result: 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
[4, 2, 4, 5, 1, 5, 8, 2, 2]
[1, 1]
function result: 1
function result: 7
function result: 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
[4, 2, 2, 4, 5, 1, 5, 8, 2, 2]
[4, 2, 4, 5, 1, 5, 8, 2, 2]
[1, 1]
function result: 1
function result: 7
function result: 0
# you can write to stdout for debugging purposes, e.g.
# print("this is a debug message")
def solution(A):
alen = len(A)
avgmin = (A[0] + A[1])/2
avgstart = 0
for i in range(1,alen):
if i + 2 > alen: break
avg = (A[i] + A[i+1]) / 2
if avg < avgmin:
avgmin = avg
avgstart = i
if i + 3 > alen: continue
avg = (A[i] + A[i+1] + A[i+2]) / 3
if avg < avgmin:
avgmin = avg
avgstart = i
return avgstart
The solution obtained perfect score.