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  1. # 配置参数
  2. TARGET_SUM = 72602       # 目标总和
  3. MULTIPLIER = 620         # 乘数
  4. NUMBER_TO_SPLIT = 117.1   # 原始数字
  5. SPLIT_PARTS = 8          # 拆分份数
  6. MIN_PRODUCT = 6000       # 最小乘积
  7. MAX_PRODUCT = 10000      # 最大乘积
  8.  
  9. def split_numbers():
  10.     # 基础验证
  11.     if not isclose(NUMBER_TO_SPLIT * MULTIPLIER, TARGET_SUM):
  12.         print("参数不匹配: 原始数字×乘数 ≠ 目标总和")
  13.         return None
  14.  
  15.     min_total = SPLIT_PARTS * MIN_PRODUCT
  16.     max_total = SPLIT_PARTS * MAX_PRODUCT
  17.     if TARGET_SUM < min_total or TARGET_SUM > max_total:
  18.         print(f"无法拆分: 目标总和需在[{min_total}, {max_total}]范围内")
  19.         return None
  20.  
  21.     # 生成初始乘积
  22.     step = (MAX_PRODUCT - MIN_PRODUCT) // (SPLIT_PARTS - 1) if SPLIT_PARTS > 1 else 1
  23.     products = [MIN_PRODUCT + i * step for i in range(SPLIT_PARTS)]
  24.  
  25.     # 调整至目标总和
  26.     current_sum = sum(products)
  27.     diff = TARGET_SUM - current_sum
  28.     i = 0
  29.     direction = 1 if diff > 0 else -1
  30.  
  31.     while diff != 0:
  32.         if MIN_PRODUCT <= products[i] + direction <= MAX_PRODUCT and (products[i] + direction) not in products:
  33.             products[i] += direction
  34.             diff -= direction
  35.         i = (i + 1) % SPLIT_PARTS
  36.  
  37.     # 计算拆分值
  38.     split_values = []
  39.     for p in products:
  40.         val = p / MULTIPLIER
  41.         if val.is_integer():
  42.             split_values.append(int(val))
  43.         else:
  44.             split_values.append(round(val, 2))
  45.  
  46.     # 输出结果
  47.     print("拆分结果:")
  48.     parts = []
  49.     for v in split_values:
  50.         if isinstance(v, int):
  51.             parts.append(f"{v}×{MULTIPLIER}")
  52.         else:
  53.             parts.append(f"{v}×{MULTIPLIER}")
  54.     print(" + ".join(parts) + f" = {TARGET_SUM}")
  55.  
  56.     return split_values
  57.  
  58. def isclose(a, b):
  59.     return abs(a - b) <= 1e-9
  60.  
  61. split_numbers()
  62.  
Success #stdin #stdout 0.04s 9372KB
comments (?)
stdin 
Standard input is empty
stdout 
拆分结果:
11.9×620 + 12.82×620 + 13.74×620 + 14.66×620 + 15.59×620 + 16.13×620 + 16.13×620 + 16.13×620 = 72602
https://ideone.com/EHMl5T
language:
Python 3 nbc (python 3.7.3)
created:
1 day ago
visibility:
public

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