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10819.py
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import copy
# input
n = int(input().strip())
arr = list(map(int, input().strip().split()))
arr.sort()
new_arr = []
### POINT - only two numbers (on edges) will be used once, and the others will be used twice.
# arr size is even num - (only 1 time used are smallest one in maxs and smallest one in mins)
if len(arr) % 2 == 0:
max_to_left = True
while(len(arr) > 0):
if max_to_left:
max_to_left = False
new_arr.insert(0, arr.pop()) # biggest
if(len(arr) == 0):
break
new_arr.append(arr.pop(0)) # smallest
else:
max_to_left = True
new_arr.append(arr.pop()) # biggest
if(len(arr) == 0):
break
new_arr.insert(0,arr.pop(0)) # smallest
answer = 0
for i in range(len(new_arr)-1):
answer += abs(new_arr[i] - new_arr[i+1])
# arr size is odd num - divide to 2 cases
else:
# backup
arr_copy = copy.deepcopy(arr)
# case 1 : biggest max is center (only 1 time used are two of biggest ones in min)
new_arr.append(arr.pop()) # biggest
new_arr.insert(0,arr.pop(0)) # 2 of smallest
new_arr.append(arr.pop(0))
turn_to_max = True
while(len(arr) > 0):
if turn_to_max:
turn_to_max = False
new_arr.insert(0,arr.pop()) # 2 of biggest
new_arr.append(arr.pop())
else:
turn_to_max = True
new_arr.insert(0,arr.pop(0)) # 2 of smallest
new_arr.append(arr.pop(0))
sum1 = 0
for i in range(len(new_arr)-1):
sum1 += abs(new_arr[i] - new_arr[i+1])
# reset
new_arr = []
arr = copy.deepcopy(arr_copy)
# case 2 : smallest min is center (only 1 time used are two of smallest ones in max)
new_arr.append(arr.pop(0)) # smallest
new_arr.insert(0,arr.pop()) # 2 of biggest
new_arr.append(arr.pop())
turn_to_max = False
while(len(arr) > 0):
if turn_to_max:
turn_to_max = False
new_arr.insert(0,arr.pop()) # 2 of biggest
new_arr.append(arr.pop())
else:
turn_to_max = True
new_arr.insert(0,arr.pop(0)) # 2 of smallest
new_arr.append(arr.pop(0))
sum2 = 0
for i in range(len(new_arr)-1):
sum2 += abs(new_arr[i] - new_arr[i+1])
# choose better case
answer = sum1 if sum1>sum2 else sum2
print(answer)