问题

### Instructions: You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. You will NOT return anything except for the program.
### Question:
You are given a sequence A=(A_1,\ldots,A_N) of length N.
For each i=1,\ldots,N, solve the following problem.
Problem: Find the sum of all elements in A that are greater than A_i.

Input

The input is given from Standard Input in the following format:
N
A_1 \ldots A_N

Output

For each 1\leq k\leq N, let B_k be the answer to the problem when i=k. Print B_1,\ldots,B_N in this order, separated by spaces.

Constraints


- 1 \leq N \leq 2\times 10^5
- 1 \leq A_i \leq 10^6
- All input values are integers.

Sample Input 1

5
1 4 1 4 2

Sample Output 1

10 0 10 0 8


- For i=1, the sum of elements greater than A_1=1 is 4+4+2=10.
- For i=2, the sum of elements greater than A_2=4 is 0.
- For i=3, the sum of elements greater than A_3=1 is 4+4+2=10.
- For i=4, the sum of elements greater than A_4=4 is 0.
- For i=5, the sum of elements greater than A_5=2 is 4+4=8.

Sample Input 2

10
31 42 59 26 53 58 97 93 23 54

Sample Output 2

456 414 190 487 361 249 0 97 513 307

Sample Input 3

50
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Sample Output 3

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

### Format: Read the inputs from stdin solve the problem and write the answer to stdout (do not directly test on the sample inputs). Enclose your code within delimiters as follows.
```python
# YOUR CODE HERE
```

### Answer: (use the provided format with backticks)

答案

模型 模型答案 正确答案
金声玉亮2.0 ```python
import sys
from bisect import bisect_right

input = sys.stdin.read
data = input().split()

N = int(data[0])
A = list(map(int, data[1:]))

# Sort the list A and calculate the prefix sums
sorted_A = sorted(A)
prefix_sums = [0] * (N + 1)
for i in range(N):
prefix_sums[i + 1] = prefix_sums[i] + sorted_A[i]

# Calculate the sum of elements greater than each A_i
results = []
for i in range(N):
idx = bisect_right(sorted_A, A[i])
result = prefix_sums[N] - prefix_sums[idx]
results.append(result)

# Print the results
print(" ".join(map(str, results)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
deepseek-r1

```python
import bisect

n = int(input())
a = list(map(int, input().split()))
sorted_a = sorted(a)
prefix = [0]
current = 0
for num in sorted_a:
current += num
prefix.append(current)
total = prefix[-1]
result = [str(total - prefix[bisect.bisect_right(sorted_a, x)]) for x in a]
print(' '.join(result))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
gpto1 ```python
# YOUR CODE HERE
import sys
import threading

def main():
import bisect
N_and_rest = sys.stdin.read().split()
N = int(N_and_rest[0])
A = list(map(int, N_and_rest[1:N+1]))
N = len(A)
S = sum(A)
sorted_A = sorted(A)
N = len(sorted_A)
suffix_sum = [0]*(N+1)
for i in range(N-1,-1,-1):
suffix_sum[i] = suffix_sum[i+1] + sorted_A[i]
sum_for_v = {}
for v in set(A):
idx = bisect.bisect_right(sorted_A, v)
sum_for_v[v] = suffix_sum[idx]
result = [str(sum_for_v[a]) for a in A]
print(' '.join(result))

threading.Thread(target=main).start()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
gpt-4o-2024-08-06 ```python
# YOUR CODE HERE
import sys
input = sys.stdin.read

def solve():
data = input().strip().split()
N = int(data[0])
A = list(map(int, data[1:]))

# Create a list of tuples (value, index) and sort it by value
indexed_A = sorted((value, index) for index, value in enumerate(A))

# Prepare an array to store the results
results = [0] * N

# Total sum of all elements
total_sum = sum(A)

# Current sum of elements processed
current_sum = 0

# Iterate over the sorted list
for i in range(N):
value, index = indexed_A[i]
# The sum of elements greater than A[index] is total_sum - current_sum - value
results[index] = total_sum - current_sum - value
# Update the current sum
current_sum += value

# Print the results
print(' '.join(map(str, results)))

solve()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
Qwen2-72B-Instruct ```python
from bisect import bisect_left, bisect_right
from itertools import accumulate

N = int(input())
A = list(map(int, input().split()))

# Create a list of unique elements sorted
unique_elements = sorted(set(A))

# Create a dictionary to map each element to its index in the sorted unique list
index_map = {value: index for index, value in enumerate(unique_elements)}

# Create a list to store the cumulative sum of elements greater than each element in the sorted unique list
cumulative_sum = [0] * len(unique_elements)
for i in range(len(unique_elements) - 1, -1, -1):
if i < len(unique_elements) - 1:
cumulative_sum[i] = cumulative_sum[i + 1]
cumulative_sum[i] += unique_elements[i]

# Create a list to store the number of occurrences of each element
occurrences = [0] * len(unique_elements)

# Count the occurrences of each element in A
for a in A:
occurrences[index_map[a]] += 1

# Calculate the prefix sum of occurrences
prefix_sum = list(accumulate(occurrences))

# Calculate the result for each element in A
result = []
for a in A:
index = index_map[a]
# The number of elements greater than 'a' is the total number of elements minus the number of elements up to 'a'
num_greater = N - prefix_sum[index]
# The sum of elements greater than 'a' is the total sum minus the sum of elements up to 'a' times the number of elements greater than 'a'
sum_greater = cumulative_sum[0] - cumulative_sum[index] - a * num_greater
result.append(sum_greater)

print(*result)
```
This solution uses binary search (via `bisect`) to find the position of each element in the sorted list of unique elements, then calculates the number of elements greater than each element and their sum using prefix sums and cumulative sums.
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
DeepSeek-Coder-V2-Lite-Instruct ```python
# YOUR CODE HERE
import sys

# Read input
N = int(sys.stdin.readline().strip())
A = list(map(int, sys.stdin.readline().strip().split()))

# Calculate the sum of elements greater than each element in A
B = []
for i in range(N):
greater_sum = sum(A[j] for j in range(N) if A[j] > A[i])
B.append(greater_sum)

# Print the results
print(' '.join(map(str, B)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
Meta-Llama-3.1-405B-Instruct-Turbo ```python
import sys

def read_ints():
return list(map(int, sys.stdin.readline().strip().split()))

def main():
n = int(sys.stdin.readline().strip())
a = read_ints()
b = sorted(a)
prefix_sum = [0] * (n + 1)
for i in range(n):
prefix_sum[i + 1] = prefix_sum[i] + b[i]

def find_sum(x):
idx = next((i for i, val in enumerate(b) if val > x), n)
return prefix_sum[n] - prefix_sum[idx]

result = [find_sum(x) for x in a]
print(' '.join(map(str, result)))

if __name__ == "__main__":
main()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
Meta-Llama-3.1-70B-Instruct-Turbo ```python
import sys
input = sys.stdin.readline

n = int(input())
a = list(map(int, input().split()))

b = sorted(a)
c = [0] * n
for i in range(n):
c[i] = b[i] + c[i-1] if i > 0 else b[i]

ans = []
for i in range(n):
idx = b.index(a[i])
ans.append(c[-1] - c[idx] - (c[idx] - c[idx-1] if idx > 0 else 0))

print(*ans)
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
baichuan4 ```python
# YOUR CODE HERE
import sys

# Read input from stdin
input_data = sys.stdin.read().splitlines()
n = int(input_data[0])
sequence = list(map(int, input_data[1].split()))

# Function to calculate the sum of elements greater than a given value
def sum_greater_than(value, sequence):
return sum(x for x in sequence if x > value)

# Calculate the sum for each element in the sequence
results = [sum_greater_than(value, sequence) for value in sequence]

# Print the results separated by spaces
print(' '.join(map(str, results)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
doubao ```python
import bisect

N = int(input())
A = list(map(int, input().split()))

sorted_A = sorted(A)
prefix_sum = [0]
for num in sorted_A:
prefix_sum.append(prefix_sum[-1] + num)

result = []
for i in range(N):
index = bisect.bisect_right(sorted_A, A[i])
result.append(prefix_sum[-1] - prefix_sum[index] - A[i] * (N - index))

print(*result)
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
gpto1 ```python
# YOUR CODE HERE
import sys
import threading

def main():
import bisect
N_and_rest = sys.stdin.read().split()
N = int(N_and_rest[0])
A = list(map(int, N_and_rest[1:N+1]))
N = len(A)
S = sum(A)
sorted_A = sorted(A)
N = len(sorted_A)
suffix_sum = [0]*(N+1)
for i in range(N-1,-1,-1):
suffix_sum[i] = suffix_sum[i+1] + sorted_A[i]
sum_for_v = {}
for v in set(A):
idx = bisect.bisect_right(sorted_A, v)
sum_for_v[v] = suffix_sum[idx]
result = [str(sum_for_v[a]) for a in A]
print(' '.join(result))

threading.Thread(target=main).start()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
kimi ```python
# YOUR CODE HERE
import bisect
n = int(input())
a = list(map(int, input().split()))
a_sorted = sorted(a)
a_sorted_index = {}
for i in range(n):
a_sorted_index[a_sorted[i]] = i
total_sum = sum(a)
ans = []
for i in range(n):
idx = a_sorted_index[a[i]]
count = n - idx - 1
sum_greater = total_sum - (count * a[i] + sum(a_sorted[idx+1:]))
ans.append(sum_greater)
print(' '.join(map(str, ans)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
minimax ```python
# YOUR CODE HERE
from sys import stdin

# Read the number of elements N
N = int(input())

# Read the sequence A
A = list(map(int, input().split()))

# Initialize an array to store the results
B = [0] * N

# Iterate over each element in A to calculate the sum of elements greater than A[i]
for i in range(N):
# Sum elements greater than A[i]
B[i] = sum(A[j] for j in range(N) if A[j] > A[i])

# Print the results
print(' '.join(map(str, B)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
wenxinyiyan ```python
# Read the input size
N = int(input())

# Read the sequence
A = list(map(int, input().split()))

# Initialize an array to hold the sums
sums = [0] * N

# Calculate the total sum of all elements
total_sum = sum(A)

# Sort the indices of A by their corresponding values
sorted_indices = sorted(range(N), key=lambda i: A[i])

# Iterate over the sorted indices in reverse order
current_sum = 0
for i in range(N - 1, -1, -1):
index = sorted_indices[i]
# Exclude the current element from the sum
current_sum += A[index]
# The sum of all elements greater than A[index] is the total sum minus the current element and current accumulated sum
sums[index] = total_sum - A[index] - current_sum

# Print the results
print(' '.join(map(str, sums)))
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
zhipu ```python
def main():
import sys
input = sys.stdin.read
data = input().split()

N = int(data[0])
A = list(map(int, data[1:]))

# Sort the array and calculate prefix sums
sorted_A = sorted(A)
prefix_sum = [0] * (N + 1)
for i in range(1, N + 1):
prefix_sum[i] = prefix_sum[i - 1] + sorted_A[i - 1]

# Dictionary to store the sum of elements greater than each unique value
sum_greater_than = {}
for i in range(N):
if sorted_A[i] not in sum_greater_than:
sum_greater_than[sorted_A[i]] = prefix_sum[N] - prefix_sum[i + 1]

# Calculate the result for each element in A
result = []
for a in A:
result.append(sum_greater_than[a])

# Print the result
print(" ".join(map(str, result)))

if __name__ == "__main__":
main()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]
deepseek-v3 ```python
# YOUR CODE HERE
import sys
import bisect

def main():
input = sys.stdin.read
data = input().split()
N = int(data[0])
A = list(map(int, data[1:N+1]))

# Create a sorted list for binary search
sorted_A = sorted(A)

# Precompute prefix sums for the sorted list
prefix_sum = [0] * (N + 1)
for i in range(N):
prefix_sum[i+1] = prefix_sum[i] + sorted_A[i]

# For each element in A, find the sum of elements greater than it
results = []
for a in A:
# Find the index of the first element greater than a
idx = bisect.bisect_right(sorted_A, a)
# Sum of elements from idx to the end
sum_greater = prefix_sum[N] - prefix_sum[idx]
results.append(sum_greater)

print(' '.join(map(str, results)))

if __name__ == "__main__":
main()
```
[{"input": "5\n1 4 1 4 2\n", "output": "10 0 10 0 8\n", "testtype": "stdin"}, {"input": "10\n31 42 59 26 53 58 97 93 23 54\n", "output": "456 414 190 487 361 249 0 97 513 307\n", "testtype": "stdin"}, {"input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "output": "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "testtype": "stdin"}]