Basic Dynamic Programming code

[Quasar999]

Hello
i'm just trying to do some basic example of dynamic programming and i've an issue with the following code:

#include <cstdio>
#include <vector>
#include <ctime>
using namespace std;

int cut_rod(vector<int>p,int l){
  int m;
  if (l==0) return 0;
  int q=-32768;
  for (int i=1;i<=p.size();i++){
    if ((l-i)<0) continue;
    m=p[i-1]+cut_rod(p,l-i);
    if (q<m) q=m;
  }
return q;
}

int main(){
  int n,t;
  int tstart;
  int tend;
  tstart=clock();
  scanf("%i %i\n ",&n,&t);
  int q;
  int l;
  vector<int> p;
  
    for (int j=0;j<n;j++){
      p.push_back(0);
      scanf("%i",&p[j]);
    }
  for (int i=0;i<t;t++){
    scanf("%i",&l);
    q=cut_rod(p,l);
    printf("Case %i: %i \n",i,q);

  }
  tend=clock();
  printf("Elapsed time : %i",tend-tstart);
  return 0;
}

The program go crazy also for examples with few iteration like:

2 1
3 4
3

What's the problem?