import time

# Original function
def fake_bin_v1(x):
    return ''.join('0' if c < '5' else '1' for c in x)

# Second version
def fake_bin_v2(x):
    x = list(x)
    for i in range(0, (len(x))):
        if int(x[i]) < 5:
            x[i] = '0'
        else:
            x[i] = '1'
    return "".join(x)

# Third version
def fake_bin_v3(x):
    out = ''
    for char in x:
        if int(char) < 5:
            out += '0'
        else:
            out += '1'
    return out

# Performance wrapper
def performance_test(func, input_data, iterations=100000):
    start_time = time.time()
    for _ in range(iterations):
        func(input_data)
    end_time = time.time()
    return end_time - start_time

# Test data
input_data = "1234567890" * 10  # A longer string to better measure performance

# Testing performance
performance_v1 = performance_test(fake_bin_v1, input_data)
performance_v2 = performance_test(fake_bin_v2, input_data)
performance_v3 = performance_test(fake_bin_v3, input_data)

# Results
print(f"Version 1: {performance_v1:.6f} seconds")
print(f"Version 2: {performance_v2:.6f} seconds")
print(f"Version 3: {performance_v3:.6f} seconds")