Swadhin Biswas Create Sort and & · 11/9/2024
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import sys
from typing import List, Tuple
def get_optimal_swaps(n: int, arr: List[int]) -> Tuple[int, List[Tuple[int, int]]]:
# Create position array to quickly find where each number is
pos = [0] * (n + 1)
for i in range(n):
pos[arr[i]] = i + 1 # 1-based indexing
operations = []
total_cost = 0
# For each position, put the correct number there
for i in range(1, n + 1):
if pos[i] != i:
# Find where the current number i is
curr_pos = pos[i]
# Calculate cost for this swap
cost = i & curr_pos
total_cost += cost
# Update positions after swap
num_at_i = arr[i - 1]
arr[curr_pos - 1], arr[i - 1] = arr[i - 1], arr[curr_pos - 1]
pos[i] = i
pos[num_at_i] = curr_pos
# Record the swap operation
operations.append((i, curr_pos))
return total_cost, operations
def main():
# For faster input
input = sys.stdin.readline
t = int(input())
for _ in range(t):
n = int(input())
arr = list(map(int, input().split()))
# Get minimum cost and operations
total_cost, operations = get_optimal_swaps(n, arr)
# Output results
print(total_cost)
print(len(operations))
for i, j in operations:
print(i, j)
if __name__ == "__main__":
main()