拿糖果

\(f(i)\)表示对于i块糖的所有拿法,存储最大糖数目
\(f(i) = max\{f(i - 2 * j) + j\}\), 其中\(j\)为\(i\)的所有满足小于等于\(\sqrt{i}\)质因数

#include<iostream>
using namespace std;

const int N = 100010;
int n;
int f[N];

int main(){
    cin >> n;
    
    for(int i = 4; i <= n; i ++){
        int t = i;
        for(int j = 2; j <= t / j; j ++){
            if(t % j == 0){
                while(t % j == 0) t /= j;
                f[i] = max(f[i], f[i - 2 * j] + j);
            }
        }
    }
    
    
    cout << f[n] << endl;
    
    return 0;
}
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