#include <bits/stdc++.h>
using namespace std;
#define pb push_back
typedef long long ll;
const int len = 1e5+5;
const ll maxi = 1e18;
//#define TEST
#ifndef TEST
#include "gap.h"
#endif // TEST
#ifdef TEST
static void my_assert(int k){ if (!k) exit(1); }
static int subtask_num, N;
static long long A[100001];
static long long call_count;
long long findGap(int, int);
void MinMax(long long s, long long t, long long *mn, long long *mx)
{
int lo = 1, hi = N, left = N+1, right = 0;
my_assert(s <= t && mn != NULL && mx != NULL);
while (lo <= hi){
int mid = (lo+hi)>>1;
if (A[mid] >= s) hi = mid - 1, left = mid;
else lo = mid + 1;
}
lo = 1, hi = N;
while (lo <= hi){
int mid = (lo+hi)>>1;
if (A[mid] <= t) lo = mid + 1, right = mid;
else hi = mid - 1;
}
if (left > right) *mn = *mx = -1;
else{
*mn = A[left];
*mx = A[right];
}
if (subtask_num == 1) call_count++;
else if (subtask_num == 2) call_count += right-left+2;
}
int main()
{
FILE *in = stdin, *out = stdout;
my_assert(2 == fscanf(in, "%d%d", &subtask_num, &N));
my_assert(1 <= subtask_num && subtask_num <= 2);
my_assert(2 <= N && N <= 100000);
for (int i=1;i<=N;i++) my_assert(1 == fscanf(in, "%lld", A+i));
for (int i=1;i<N;i++) my_assert(A[i] < A[i+1]);
fprintf(out, "%lld\n", findGap(subtask_num, N));
fprintf(out, "%lld\n", call_count);
}
#endif
long long findGap(int t, int n){
ll ans = 0, l = 0, r = maxi, mn, mx;
if (t == 1){
vector<ll> vec;
while (l <= r && vec.size() != n){
MinMax(l, r, &mn, &mx);
if (mn == mx){
if (mn != -1)
vec.pb(mn);
break;
}
l = mn+1, r = mx-1;
vec.pb(mn), vec.pb(mx);
}
sort(vec.begin(), vec.end());
for (int i = 0; i+1 < vec.size(); i++)
ans = max(ans, vec[i+1]-vec[i]);
}
else{
ll mi, mx; MinMax(0, maxi, &mi, &mx);
ll L, R, len = mx - mi + 1;
ll blok = len / n;
ll lst = mi;
ans = blok;
for(ll i = mi + 1;i < mx;){
MinMax(i, i + ans - 1, &L, &R); i += ans;
if(L != -1){
ans = max(ans, L - lst);
lst = R;
}
}
ans = max(ans, mx - lst);
return ans;
/*MinMax(l, r, &mn, &mx);
ll low = (mx-mn)/(n-1), pre = mn, up = mx;
//printf("mn = %lld, mx = %lld, l = %lld, r = %lld\n", mn, mx, l, r);
l = mn+1;
while (l <= up){
MinMax(l, l+low-1, &mn, &mx);
//printf("from %lld to %lld, mn = %lld, mx = %lld\n", l, l+low-1, mn, mx);
if (mn != -1){
ans = max(ans, mn-pre);
pre = mx;
}
l += low;
}*/
}
//printf("ans = %lld\n", ans);
return ans;
}
