B. Color the Fence

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

 

Igor has fallen in love with Tanya. Now Igor wants to show his feelings and write a number on the fence opposite to Tanya's house. Igor thinks that the larger the number is, the more chance to win Tanya's heart he has.

Unfortunately, Igor could only get v liters of paint. He did the math and concluded that digit d requires ad liters of paint. Besides, Igor heard that Tanya doesn't like zeroes. That's why Igor won't use them in his number.

Help Igor find the maximum number he can write on the fence.

Input

The first line contains a positive integer v (0 ≤ v ≤ 106). The second line contains nine positive integers a1, a2, ..., a9 (1 ≤ ai ≤ 105).

Output

Print the maximum number Igor can write on the fence. If he has too little paint for any digit (so, he cannot write anything), print -1.

Examples

input

5
5 4 3 2 1 2 3 4 5

output

55555

input

2
9 11 1 12 5 8 9 10 6

output

33

input

0
1 1 1 1 1 1 1 1 1

output

-1

被这道题卡了蛮久，只考虑到了位数最大，没想到要尽可能小以给高位腾出更多空间。

附AC代码：

#include<bits/stdc++.h>
using namespace std;

int a[10];

const int INF=1<<30;

int main(){
    int v,temp=0;
    int Max=0;
    int Min=INF;
    cin>>v;
    for(int i=1;i<=9;i++){
        cin>>a[i];
        if(v/a[i]>Max||a[temp]==a[i]){
            Max=v/a[i];
            temp=i;
        }
        if(a[i]<=Min){
            Min=a[i];
        }
    }
    if(Max==0){
        cout<<-1<<endl;
        return 0;
    }
    else{
        int num=v/a[temp];
        
        Min=INF;
        for(int i=temp+1;i<=9;i++){
            if(a[i]<=Min){
                Min=a[i];
            }
        }
        v%=a[temp];
        while(v>0&&v+a[temp]>=Min){
            int t;
            for(int i=9;i>temp;i--){
                if(a[i]<=v+a[temp]){
                    cout<<i;
                    num--;
                    t=i;
                    break;
                }
            }
            v-=abs(a[t]-a[temp]);
        }
        for(int i=0;i<num;i++){
            cout<<temp;
        }
        
        cout<<endl;
    }
    return 0;
}