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Dynamic_Programming/2431.Maximize-Total-Tastiness-of-Purchased-Fruits/Readme.md
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### 2431.Maximize-Total-Tastiness-of-Purchased-Fruits | ||
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很常规的DP模式。令dp[i][j][k]表示前i个水果、花费j的钱、使用k张半价券,所能得到的最大tastiness。 | ||
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显然,我们会考虑对第i个水果的决策: | ||
1. 我们不买第i个水果,`dp[i][j][k] = dp[i-1][j][k]`; | ||
2. 我们原价买第i个水果,`dp[i][j][k] = dp[i-1][j-price[i]][k] + tastiness[i]`; | ||
3. 我们半价买第i个水果,`dp[i][j][k] = dp[i-1][j-price[i]/2][k-1] + tastiness[i]`; | ||
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注意为了不出现越界,我们使用上述的转移方程时,需要对j和k加上约束。此外`i=0`时单独处理dp最为方便。 |
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