add python code

This commit is contained in:
2026-06-16 09:35:51 +08:00
parent daecbf4603
commit daf9e50938
17 changed files with 763 additions and 19 deletions
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"""
性能对比:循环累加 vs 高斯求和公式
比较两种算法计算 1+2+...+n 的耗时差异
"""
import time
def sum_by_loop(n):
"""循环累加 O(n)"""
total = 0
for i in range(1, n + 1):
total += i
return total
def sum_by_gauss(n):
"""高斯求和公式 O(1)"""
return n * (n + 1) // 2
# 测试不同规模
for n in [1000, 10000, 100000, 1000000]:
print(f"\n--- n = {n} ---")
start = time.time()
r1 = sum_by_loop(n)
t1 = time.time() - start
start = time.time()
r2 = sum_by_gauss(n)
t2 = time.time() - start
print(f"循环累加: {t1:.6f} 秒, 结果 = {r1}")
print(f"高斯公式: {t2:.6f} 秒, 结果 = {r2}")
print(f"加速比: {t1/t2:.2f}x")
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"""
递归打印图案 — 演示递归基本结构
"""
def print_rect(n, current=1):
"""递归打印矩形"""
if current > n:
return
print("*" * n)
print_rect(n, current + 1)
def print_triangle(n, current=1):
"""递归打印三角形"""
if current > n:
return
print("*" * current)
print_triangle(n, current + 1)
if __name__ == "__main__":
print("矩形图案 (5x5):")
print_rect(5)
print("\n三角形图案:")
print_triangle(5)