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import random
import string
def generate_random_string(length):
return ''.join(random.choice(string.ascii_lowercase) for _ in range(length))
def generate_operation(current_length, max_queries_left):
operations = ['Q', 'R', 'I']
# Bias towards queries if we haven't used many yet
if max_queries_left > 0 and random.random() < 0.4:
op = 'Q'
else:
op = random.choice(operations)
if op == 'Q':
x = random.randint(1, current_length)
y = random.randint(1, current_length)
return f"Q {x} {y}", current_length, 1
elif op == 'R':
x = random.randint(1, current_length)
d = random.choice(string.ascii_lowercase)
return f"R {x} {d}", current_length, 0
else: # op == 'I'
x = random.randint(0, current_length)
d = random.choice(string.ascii_lowercase)
return f"I {x} {d}", current_length + 1, 0
def construct_inputs():
inputs = []
# Small test cases
for _ in range(10):
initial_length = random.randint(1, 20)
initial_string = generate_random_string(initial_length)
m = random.randint(1, 30)
operations = []
current_length = initial_length
queries_used = 0
max_queries = min(10, m // 2 + 1)
for _ in range(m):
if current_length >= 100000:
# Only allow queries and replacements if string is too long
if queries_used < max_queries and random.random() < 0.7:
x = random.randint(1, current_length)
y = random.randint(1, current_length)
operations.append(f"Q {x} {y}")
queries_used += 1
else:
x = random.randint(1, current_length)
d = random.choice(string.ascii_lowercase)
operations.append(f"R {x} {d}")
else:
op, current_length, query_count = generate_operation(current_length, max_queries - queries_used)
operations.append(op)
queries_used += query_count
test_case = initial_string + '\n' + str(m) + '\n' + '\n'.join(operations)
inputs.append(test_case)
# Medium test cases
for _ in range(8):
initial_length = random.randint(50, 500)
initial_string = generate_random_string(initial_length)
m = random.randint(100, 1000)
operations = []
current_length = initial_length
queries_used = 0
max_queries = min(100, m // 3)
for _ in range(m):
if current_length >= 100000:
if queries_used < max_queries and random.random() < 0.8:
x = random.randint(1, current_length)
y = random.randint(1, current_length)
operations.append(f"Q {x} {y}")
queries_used += 1
else:
x = random.randint(1, current_length)
d = random.choice(string.ascii_lowercase)
operations.append(f"R {x} {d}")
else:
op, current_length, query_count = generate_operation(current_length, max_queries - queries_used)
operations.append(op)
queries_used += query_count
test_case = initial_string + '\n' + str(m) + '\n' + '\n'.join(operations)
inputs.append(test_case)
# Large test cases
for _ in range(7):
initial_length = random.randint(1000, 10000)
initial_string = generate_random_string(initial_length)
m = random.randint(10000, 150000)
operations = []
current_length = initial_length
queries_used = 0
max_queries = min(10000, m // 10)
for _ in range(m):
if current_length >= 100000:
if queries_used < max_queries and random.random() < 0.9:
x = random.randint(1, current_length)
y = random.randint(1, current_length)
operations.append(f"Q {x} {y}")
queries_used += 1
else:
x = random.randint(1, current_length)
d = random.choice(string.ascii_lowercase)
operations.append(f"R {x} {d}")
else:
op, current_length, query_count = generate_operation(current_length, max_queries - queries_used)
operations.append(op)
queries_used += query_count
test_case = initial_string + '\n' + str(m) + '\n' + '\n'.join(operations)
inputs.append(test_case)
return inputs

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