#include <stdio.h>
#include <limits.h>
int N;
int M;
int sub[100];
int P;
int L;
int need_point[100];
int find_nth(int n){
int max;
int pos;
int point = 1;
for(int i=0; i<n; i++){
max = INT_MIN;
pos = -1;
for(int j=0; j<P; j++){
if(sub[j] >= max && sub[j] != -1){
max = sub[j];
pos = j;
}
}
if(pos==-1) return 1;
point = sub[pos];
sub[pos] = -1;
if(i==n-1) return point;
}
return 1;
}
int lowest(){
int min = INT_MAX;
int pos = -1;
for(int i=0; i<N; i++){
if(need_point[i] < min && need_point[i] != -1){
min = need_point[i];
pos = i;
}
}
if(pos==-1) return 0;
need_point[pos] =-1;
return min;
}
int main(void) {
scanf("%d %d", &N, &M);
for(int i=0; i<N; i++){
scanf("%d %d", &P, &L);
for(int j=0; j<P; j++){
scanf("%d", &sub[j]);
}
need_point[i] = find_nth(L);
}
/*
printf("Point\n> ");
for(int i=0; i<N; i++){
printf(" %d ", need_point[i]);
}
printf("\n");
*/
int count=0;
int val;
while((val = lowest())){
if(M>=val){
M-=val;
count++;
}else {
break;
}
}
//printf("\ncount: %d\n", count);
printf("%d", count);
return 0;
}
