#include<iostream>
#include<list>
#include<string>
#include<cstring>
#include<sstream>
#include<cctype>
#include<string.h>
#include<algorithm>
#include<cmath>
#include<stack>
#include<fstream>
#include<cstdlib>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
#include<queue>
using namespace std;
#define INF (1<<29)
#define SET(a) memset(a,-1,sizeof(a))
#define ALL(a) a.begin(),a.end()
#define CLR(a) memset(a,0,sizeof(a))
#define FILL(a,v) memset(a,v,sizeof(a))
#define PB push_back
#define FOR(i,n) for(int i = 0;i<n;i++)
#define PI acos(-1.0)
#define EPS 1e-9
#define MP(a,b) make_pair(a,b)
#define min3(a,b,c) min(a,min(b,c))
#define max3(a,b,c) max(a,max(b,c))
#define READ freopen("input.txt", "r", stdin)
#define WRITE freopen("output.txt", "w", stdout)
#define LL long long
#define MX 1000010
#define MOD 1000000007
main()
{
int a,c,high,res;
while(cin>>a>>c)
{
if(a==0 || c==0)
break;
stack<int>stk;
res=0;
cin>>high;
stk.push(high);
for(int i=1;i<c;i++)
{
cin>>high;
if(high>stk.top())
res+=high-stk.top();
stk.push(high);
}
res+=a-stk.top();
cout<<res<<endl;
}
}
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