mirror of
https://github.com/krahets/hello-algo.git
synced 2026-04-24 18:43:59 +08:00
Add the chapter of greedy. (#633)
Add the section of fractional knapsack.
This commit is contained in:
48
codes/python/chapter_greedy/coin_change_greedy.py
Normal file
48
codes/python/chapter_greedy/coin_change_greedy.py
Normal file
@@ -0,0 +1,48 @@
|
||||
"""
|
||||
File: coin_change_greedy.py
|
||||
Created Time: 2023-07-18
|
||||
Author: Krahets (krahets@163.com)
|
||||
"""
|
||||
|
||||
|
||||
def coin_change_greedy(coins: list[int], amt: int) -> int:
|
||||
"""零钱兑换:贪心"""
|
||||
# 假设 coins 列表有序
|
||||
i = len(coins) - 1
|
||||
count = 0
|
||||
# 循环进行贪心选择,直到无剩余金额
|
||||
while amt > 0:
|
||||
# 找到小于且最接近剩余金额的硬币
|
||||
while coins[i] > amt:
|
||||
i -= 1
|
||||
# 选择 coins[i]
|
||||
amt -= coins[i]
|
||||
count += 1
|
||||
# 若未找到可行方案,则返回 -1
|
||||
return count if amt == 0 else -1
|
||||
|
||||
|
||||
"""Driver Code"""
|
||||
if __name__ == "__main__":
|
||||
# 贪心:能够保证找到全局最优解
|
||||
coins = [1, 5, 10, 20, 50, 100]
|
||||
amt = 186
|
||||
res = coin_change_greedy(coins, amt)
|
||||
print(f"\ncoins = {coins}, amt = {amt}")
|
||||
print(f"凑到 {amt} 所需的最少硬币数量为 {res}")
|
||||
|
||||
# 贪心:无法保证找到全局最优解
|
||||
coins = [1, 20, 50]
|
||||
amt = 60
|
||||
res = coin_change_greedy(coins, amt)
|
||||
print(f"\ncoins = {coins}, amt = {amt}")
|
||||
print(f"凑到 {amt} 所需的最少硬币数量为 {res}")
|
||||
print(f"实际上需要的最少数量为 3 ,即 20 + 20 + 20")
|
||||
|
||||
# 贪心:无法保证找到全局最优解
|
||||
coins = [1, 49, 50]
|
||||
amt = 98
|
||||
res = coin_change_greedy(coins, amt)
|
||||
print(f"\ncoins = {coins}, amt = {amt}")
|
||||
print(f"凑到 {amt} 所需的最少硬币数量为 {res}")
|
||||
print(f"实际上需要的最少数量为 2 ,即 49 + 49")
|
||||
Reference in New Issue
Block a user