def optimal_strategy(s):
"""
This function implements an optimal strategy for a game where two players
alternately choose an index in a string and flip the value at that index.
The goal is to maximize the number of consecutive '1's in the final string.
Args:
s: The initial string.
Returns:
A tuple containing the final string and the maximum number of consecutive
'1's.
"""
n = len(s)
# Create a copy of the string as we'll be modifying it.
s_copy = list(s)
# Iterate through the string, flipping the values at alternating indices.
for i in range(n):
if i % 2 == 0:
# Roy's turn
s_copy[i] = str(1 - int(s_copy[i]))
else:
# Emon's turn
s_copy[i] = str(1 - int(s_copy[i]))
# Join the string back together
final_string = "".join(s_copy)
# Calculate the maximum number of consecutive '1's
max_ones = 0
current_ones = 0
for char in final_string:
if char == "1":
current_ones += 1
max_ones = max(max_ones, current_ones)
else:
current_ones = 0
return final_string, max_ones
# Test the function
initial_string = "10"
final_string, max_ones = optimal_strategy(initial_string)
print(f"Final string: {final_string}")
print(f"Maximum consecutive '1's: {max_ones}")