Problem:
Score : 500 points

Problem Statement

Ibis is fighting with a monster.

The health of the monster is H.

Ibis can cast N kinds of spells. Casting the i-th spell decreases the monster's health by A_i, at the cost of B_i Magic Points.

The same spell can be cast multiple times. There is no way other than spells to decrease the monster's health.

Ibis wins when the health of the monster becomes 0 or below.

Find the minimum total Magic Points that have to be consumed before winning.

Constraints

1 \leq H \leq 10^4

1 \leq N \leq 10^3

1 \leq A_i \leq 10^4

1 \leq B_i \leq 10^4

All values in input are integers.

Input

Input is given from Standard Input in the following format:

H N
A_1 B_1
:
A_N B_N

Output

Print the minimum total Magic Points that have to be consumed before winning.

Sample Input 1

9 3
8 3
4 2
2 1

Sample Output 1

4

First, let us cast the first spell to decrease the monster's health by 8, at the cost of 3 Magic Points. The monster's health is now 1.

Then, cast the third spell to decrease the monster's health by 2, at the cost of 1 Magic Point. The monster's health is now -1.

In this way, we can win at the total cost of 4 Magic Points.

Sample Input 2

100 6
1 1
2 3
3 9
4 27
5 81
6 243

Sample Output 2

100

It is optimal to cast the first spell 100 times.

Sample Input 3

9999 10
540 7550
691 9680
700 9790
510 7150
415 5818
551 7712
587 8227
619 8671
588 8228
176 2461

Sample Output 3

139815

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

/*
	Behind every successful man 
	there's a lot of unsuccessful years
*/
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define IOS ios_base::sync_with_stdio(false);cin.tie(NULL);
#define pb push_back 
#define eb emplace_back
#define fn for(int i =0 ;i <n;i++)
#define fn1 for( int i =1;i<=n;i++)
#define fm for(int j =0 ;j <m;j++)
#define fm1 for(int j =1;j<=m;j++)
#define fi first
#define se second
#define E endl
#define MOD 1000000007
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
const int N = 1e4+5;
const int INF = 1e18L;
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
  cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
  const char* comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << ": " << arg1 << " |";
  __f(comma + 1, args...);
}
int ar[N];
int dp[N];
int cache[1000][10000];
int solve(int w, int wt[], int val[], int pos, int n) 
{   if(w<=0)return 0;
    if(pos ==n+1){
    if(w <=0)return 0;
 	 return 1e18;
	}
	if(cache[pos][w]!=-1)return cache[pos][w];
	int ans = 1e18;
    ans = min ({val[pos]+solve(w-wt[pos],wt,val,pos+1,n),solve(w,wt,val,pos+1,n),val[pos]+solve(w-wt[pos],wt,val,pos,n)});
	return cache[pos][w]=ans;
} 
signed main(){
	IOS;
	int T=1;
	// cin >> T;
	while(T--){
		int wt,n;
		cin >> wt >> n;
		for(int i =1;i <=n;i++){
			cin >> ar[i] >> dp[i];			
		}
		memset(cache,-1,sizeof(cache));
		int ans = solve(wt,ar,dp,1,n);
		cout<<ans<<endl;
	
	}
	
	cerr << "Time Taken : " << 1.0 * clock() / CLOCKS_PER_SEC << " sec \n";
	return 0;
}