def contains_2_or_4(num):
"""检查数字中是否包含2或4"""
return '2' in str(num) or '4' in str(num)
def generate_valid_numbers(limit):
"""生成不包含数字2和4的正整数列表"""
valid_numbers = []
for i in range(1, limit):
if not contains_2_or_4(i):
valid_numbers.append(i)
return valid_numbers
def count_unique_combinations(total):
"""计算符合条件的组合数量"""
valid_numbers = generate_valid_numbers(total)
number_set = set(valid_numbers) # 使用集合以便快速查找
count = 0
length = len(valid_numbers)
for i in range(length):
for j in range(i+1, length):
a = valid_numbers[i]
b = valid_numbers[j]
c = total - a - b
# 检查 c 是否有效且大于 b(保证 c 不重复且比 b 大)
if c in number_set and c > b:
count += 1
return count
# 目标和
total_sum = 2019
# 计算结果
result = count_unique_combinations(total_sum)
print(result)
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