DP--钢条切割

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#define MAX_LENGTH 11

void CutRod(int * P, int p_last, int * R, int r_last);


int main()
{
    int P[MAX_LENGTH] = { 0,1,5,8,9,10,17,17,20,24,30 };
    int k_th = 20;

    int* R = (int*)malloc((k_th+1)*sizeof(int));
    memset(R, 0, k_th * sizeof(int));
    CutRod(P,MAX_LENGTH - 1, R,k_th);
    for (int i = 1; i <= k_th; i++)
    {
        printf("%d ",R[i]);
    }
    printf("
");
    // 1 5 8 10 13 17 18 22 25 30 31 35 38 40 43 47 48 52 55 60
    system("pause");
    return 0;
}



void CutRod(int * P, int p_last, int * R, int r_last)
{
    for (int i = 1; i <= r_last; i++)
    {
        int max_profit = P[i];
        if (i > p_last)
            max_profit = -1;
        for (int j = 1; j <= i; j++)
        {
            max_profit = max_profit > R[j] + R[i - j] ? max_profit : R[j] + R[i - j];
        }
        R[i] = max_profit;
    }
}