完全背包理论

Reference

代码随想录 (programmercarl.com)

正文

需要注意写代码的时候,在写递推公式的时候,注意要背包装得下再进行递推。

总是忘记这一点

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for(int j = weights[i]; j <= bagSize; j++) {

代码

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#include<iostream>
#include<vector>
using namespace std;
int backQuiz(int bagSize,vector<int>& weights,vector<int>& values){
vector<int> dp(bagSize + 1,0);
for(int i = 0; i < weights.size(); i++) {
for(int j = weights[i]; j <= bagSize; j++) {
dp[j] = max(dp[j],dp[j - weights[i]] + values[i]);
}
}
return dp[bagSize];
}
int main() {
vector<int> weights;
vector<int> values;
int N,V;
cin >> N >> V;
for (int i = 0; i < N; i++) {
int tempValue,tempWeight;
cin >> tempWeight >> tempValue;
weights.push_back(tempWeight);
values.push_back(tempValue);
}
int res = backQuiz(V,weights,values);
cout << res << endl;
return 0;
}