Update 背包问题理论基础完全背包.md

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jianghongcheng
2023-06-04 07:52:08 -05:00
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commit e002075a39

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@ -222,44 +222,79 @@ private static void testCompletePackAnotherWay(){
Python
先遍历物品,再遍历背包(无参版)
```python
# 先遍历物品,再遍历背包
def test_complete_pack1():
def test_CompletePack():
weight = [1, 3, 4]
value = [15, 20, 30]
bag_weight = 4
dp = [0]*(bag_weight + 1)
for i in range(len(weight)):
for j in range(weight[i], bag_weight + 1):
bagWeight = 4
dp = [0] * (bagWeight + 1)
for i in range(len(weight)): # 遍历物品
for j in range(weight[i], bagWeight + 1): # 遍历背包容量
dp[j] = max(dp[j], dp[j - weight[i]] + value[i])
print(dp[bagWeight])
print(dp[bag_weight])
test_CompletePack()
# 先遍历背包,再遍历物品
def test_complete_pack2():
weight = [1, 3, 4]
value = [15, 20, 30]
bag_weight = 4
dp = [0]*(bag_weight + 1)
for j in range(bag_weight + 1):
for i in range(len(weight)):
if j >= weight[i]: dp[j] = max(dp[j], dp[j - weight[i]] + value[i])
print(dp[bag_weight])
if __name__ == '__main__':
test_complete_pack1()
test_complete_pack2()
```
先遍历物品,再遍历背包(有参版)
```python
def test_CompletePack(weight, value, bagWeight):
dp = [0] * (bagWeight + 1)
for i in range(len(weight)): # 遍历物品
for j in range(weight[i], bagWeight + 1): # 遍历背包容量
dp[j] = max(dp[j], dp[j - weight[i]] + value[i])
return dp[bagWeight]
if __name__ == "__main__":
weight = [1, 3, 4]
value = [15, 20, 30]
bagWeight = 4
result = test_CompletePack(weight, value, bagWeight)
print(result)
```
先遍历背包,再遍历物品(无参版)
```python
def test_CompletePack():
weight = [1, 3, 4]
value = [15, 20, 30]
bagWeight = 4
dp = [0] * (bagWeight + 1)
for j in range(bagWeight + 1): # 遍历背包容量
for i in range(len(weight)): # 遍历物品
if j - weight[i] >= 0:
dp[j] = max(dp[j], dp[j - weight[i]] + value[i])
print(dp[bagWeight])
test_CompletePack()
```
先遍历背包,再遍历物品(有参版)
```python
def test_CompletePack(weight, value, bagWeight):
dp = [0] * (bagWeight + 1)
for j in range(bagWeight + 1): # 遍历背包容量
for i in range(len(weight)): # 遍历物品
if j - weight[i] >= 0:
dp[j] = max(dp[j], dp[j - weight[i]] + value[i])
return dp[bagWeight]
if __name__ == "__main__":
weight = [1, 3, 4]
value = [15, 20, 30]
bagWeight = 4
result = test_CompletePack(weight, value, bagWeight)
print(result)
```
Go
```go