# 1286 optimal storage

Source: Internet
Author: User
Description

There are n programs {1, 2 ,..., N} is stored on a tape with a length of L. To store program I, the tape length must be Li, 1 <= I <= n. Now I want to ask the students to design a storage solution so that they can store as many programs as possible on tape. The maximum utilization of tapes is also required to ensure the maximum number of stored programs.

Input

The first behavior is an integer T, indicating that there are T groups of test data.

For each group of test data, the first line is a positive integer (no more than 106), indicating the length of the tape; the second line is a positive integer N (no more than 100), indicating that there are n programs; the third row is n positive integers (the number of each digit cannot exceed 100). The number of I (LI) indicates that the length of the tape to be occupied is Li, and each digit is separated by spaces.

Output

For each group of test data, the first row is a positive integer, indicating the maximum number of programs that the tape can store. The second row is a positive integer, indicating the total length of the tapes that these programs store.

Sample Input
`1`
`60`
`10`
`2 3 8 10 12 13 16 21 23 80`
Sample output
`6`
`60`

Dynamic Planning, similar to a backpack Problem

`#include <stdio.h>#include <string.h>main(){int number,te;long int l;int a[101];int n;int i;int j;int cnt[10001];int sum;scanf("%d",&number);for(te=1;te<=number;te++){  memset(cnt,0,sizeof(cnt));scanf("%ld",&l);scanf("%d",&n);for(i=1;i<=n;i++)scanf("%d",&a[i]);  sum=0; for(i=1;i<=n;i++)sum+=a[i];if(sum<l)l=sum;if(sum==l){printf("%d\n",n);printf("%d",sum);goto ABC;}        for(i=1;i<=n;i++)for(j=l;j>=0;j--){if(cnt[j-a[i]]+1>cnt[j]&&j-a[i]>=0)cnt[j]=cnt[j-a[i]]+1;elsecnt[j]=cnt[j];}for(j=l;j>=0;j--)if(cnt[j]!=0)break;  printf("%d\n",cnt[j] );printf("%d",j);ABC: printf("\n");}}`

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