#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FOD(i, a, b) for (int i = (a); i >= (b); i--)
#define REP(i, n) for (int i = 1; i <= (n); i++)
#define REP0(i, n) for (int i = 0; i < (n); i++)
#define pb push_back
#define printclock cerr << "\nTime : " << 1000 * (double)clock() / (double)CLOCKS_PER_SEC << "ms\n";
const int mod = 1e9 + 7, inf = 1000111000, mxr = 305, mxn = 2e6 + 5;
int adj[(int)3e5 + 5][7];
int opp[7], n, r;
bool dd[mxn];
long long ans = 0;
vector<int> bo;
namespace sub125
{
void solve()
{
for (int i = 0; i <= 3 * r * (r + 1); i++)
{
vector<int> vt(7, i);
while (1)
{
int e = 1;
REP(j, 6)
{
vt[j] = adj[vt[j]][j];
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
if (dd[vt[j]])
e = 0;
}
if (e == -1)
break;
else
{
if (e == 1)
ans++;
int se = vt[2];
vector<int> vt2 = vt;
while (1)
{
int e = 1;
REP(j, 6)
{
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt2[j] = adj[vt2[j]][angle];
if (j == 1 && vt2[j] == se)
{
e = -1;
break;
}
if (vt2[j] == -1 || vt2[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
if (dd[vt2[j]])
e = 0;
}
if (e == -1)
break;
else if (e == 1)
ans++;
}
}
}
}
cout << ans << '\n';
}
}
namespace sub6
{
int adj2[(int)3e5 + 5][12][7], huong[305][7];
vector<int> popbit[1005];
inline int get(int x, int k, int d)
{
// cerr << x << ' ' << k << ' ' << d << '\n';
if (x == -1)
return x;
for (auto i : popbit[k])
{
if (x == -1)
return x;
x = adj2[x][i][d];
}
return x;
}
void solve()
{
REP(i, r)
{
ans += i;
}
ans *= ans;
// cbi truoc mang adj2
memset(adj2, -1, sizeof adj2);
for (int i = 0; i <= 3 * r * (r + 1); i++)
{
REP(j, 6)
adj2[i][0][j] = adj[i][j];
}
for (int k = 1; (1 << k) <= 1000; k++)
{
REP(j, 6)
{
for (int i = 0; i <= 3 * r * (r + 1); i++)
{
if (adj2[i][k - 1][j] == -1)
{
adj2[i][k][j] = -1;
continue;
}
adj2[i][k][j] = adj2[adj2[i][k - 1][j]][k - 1][j];
}
}
}
REP(i, 1000)
{
for (int j = 0; (1 << j) <= i; j++)
{
if (i >> j & 1)
popbit[i].pb(j);
}
}
// solve
vector<int> vt(7);
for (int i : bo)
{
FOR(h, 0, r)
{
REP(d, 6)
{
huong[h][d] = get(i, h, d);
}
}
REP(m, r)
{
REP0(h, m)
{
// A
int start = huong[h][6];
int tam = get(start, m, 4);
int e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && vt[1] == i)
ans--;
// B
start = huong[h][1];
tam = get(start, m, 5);
e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && !dd[vt[1]] && vt[2] == i)
ans--;
// C
start = huong[h][2];
tam = get(start, m, 6);
e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && vt[3] == i)
ans--;
// D
start = huong[h][3];
tam = get(start, m, 1);
e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && vt[4] == i)
ans--;
// E
start = huong[h][4];
tam = get(start, m, 2);
e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && !dd[vt[4]] && vt[5] == i)
ans--;
// F
start = huong[h][5];
tam = get(start, m, 3);
e = 1;
REP(j, 6)
{
vt[j] = get(tam, m, j);
int angle = (j + 2) % 6;
if (angle == 0)
angle = 6;
vt[j] = get(vt[j], h, angle);
if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
{
e = -1;
break;
}
}
if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && !dd[vt[4]] && !dd[vt[5]] && vt[6] == i)
ans--;
}
}
}
cout << ans << '\n';
}
}
int32_t main()
{
#define task ""
if (fopen(task ".inp", "r"))
{
freopen(task ".inp", "r", stdin);
freopen(task ".out", "w", stdout);
}
cin.tie(0)->sync_with_stdio(0);
cin >> r >> n;
if (n == 0)
{
int ans = 0;
REP(i, r)
{
ans += i;
}
cout << ans * ans << '\n';
return 0;
}
opp[1] = 4;
opp[2] = 5;
opp[3] = 6;
opp[4] = 1;
opp[5] = 2;
opp[6] = 3;
memset(adj, -1, sizeof adj);
REP(i, n)
{
int x;
cin >> x;
dd[x] = 1;
bo.pb(x);
}
REP(i, 6)
{
adj[0][i] = i;
adj[i][opp[i]] = 0;
}
int s = 2;
REP(i, 6)
{
int numitr = (i + 1) % 6;
if (numitr == 0)
numitr = 6;
s = (s + 1) % 6;
if (s == 0)
s = 6;
adj[i][s] = numitr;
adj[numitr][opp[s]] = i;
}
REP(i, r)
{
int x = 3 * (i + 2) * (i + 1), angle = 6, same = 2;
for (int itr = 3 * i * (i - 1) + 1, cnt = 0; itr <= 3 * (i + 1) * i; itr++, cnt = (cnt + 1) % i)
{
int num = (cnt == 0) ? 3 : 2;
if (cnt == 0)
{
same = (same + 1) % 6;
if (same == 0)
same = 6;
}
int numadj = itr + 1;
if (numadj == 3 * (i + 1) * i + 1)
numadj = 3 * i * (i - 1) + 1;
adj[itr][same] = numadj;
adj[numadj][opp[same]] = itr;
int x2 = x, angle2 = angle;
REP(j, num)
{
adj[itr][angle2] = x2;
adj[x2][opp[angle2]] = itr;
angle2 = (angle2 + 1) % 6;
if (angle2 == 0)
angle2 = 6;
x2++;
if (x2 == 3 * (i + 2) * (i + 1) + 1)
x2 = 3 * (i + 1) * i + 1;
}
REP(j, num - 1)
{
x++;
if (x == 3 * (i + 2) * (i + 1) + 1)
x = 3 * (i + 1) * i + 1;
}
REP(j, num - 2)
{
angle = (angle + 1) % 6;
if (angle == 0)
angle = 6;
}
}
}
if (r <= 100)
{
sub125::solve();
return 0;
}
sub6::solve();
// printclock;
return 0;
}
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FOD(i, a, b) for (int i = (a); i >= (b); i--)
#define REP(i, n) for (int i = 1; i <= (n); i++)
#define REP0(i, n) for (int i = 0; i < (n); i++)
#define pb push_back
#define printclock cerr << "\nTime : " << 1000 * (double)clock() / (double)CLOCKS_PER_SEC << "ms\n";
const int mod = 1e9 + 7, inf = 1000111000, mxr = 305, mxn = 2e6 + 5;
int adj[(int)3e5 + 5][7];
int opp[7], n, r;
bool dd[mxn];
long long ans = 0;
vector<int> bo;
namespace sub125
{
    void solve()
    {
        for (int i = 0; i <= 3 * r * (r + 1); i++)
        {
            vector<int> vt(7, i);
            while (1)
            {
                int e = 1;
                REP(j, 6)
                {
                    vt[j] = adj[vt[j]][j];
                    if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                    {
                        e = -1;
                        break;
                    }
                    if (dd[vt[j]])
                        e = 0;
                }
                if (e == -1)
                    break;
                else
                {
                    if (e == 1)
                        ans++;
                    int se = vt[2];
                    vector<int> vt2 = vt;
                    while (1)
                    {
                        int e = 1;
                        REP(j, 6)
                        {
                            int angle = (j + 2) % 6;
                            if (angle == 0)
                                angle = 6;
                            vt2[j] = adj[vt2[j]][angle];
                            if (j == 1 && vt2[j] == se)
                            {
                                e = -1;
                                break;
                            }
                            if (vt2[j] == -1 || vt2[j] > 3 * (r) * (r + 1))
                            {
                                e = -1;
                                break;
                            }
                            if (dd[vt2[j]])
                                e = 0;
                        }
                        if (e == -1)
                            break;
                        else if (e == 1)
                            ans++;
                    }
                }
            }
        }
        cout << ans << '\n';
    }
}
namespace sub6
{
    int adj2[(int)3e5 + 5][12][7], huong[305][7];
    vector<int> popbit[1005];
    inline int get(int x, int k, int d)
    {
        // cerr << x << ' ' << k << ' ' << d << '\n';
        if (x == -1)
            return x;
        for (auto i : popbit[k])
        {
            if (x == -1)
                return x;
            x = adj2[x][i][d];
        }
        return x;
    }
    void solve()
    {
        REP(i, r)
        {
            ans += i;
        }
        ans *= ans;
        // cbi truoc mang adj2
        memset(adj2, -1, sizeof adj2);
        for (int i = 0; i <= 3 * r * (r + 1); i++)
        {
            REP(j, 6)
            adj2[i][0][j] = adj[i][j];
        }
        for (int k = 1; (1 << k) <= 1000; k++)
        {
            REP(j, 6)
            {
                for (int i = 0; i <= 3 * r * (r + 1); i++)
                {
                    if (adj2[i][k - 1][j] == -1)
                    {
                        adj2[i][k][j] = -1;
                        continue;
                    }
                    adj2[i][k][j] = adj2[adj2[i][k - 1][j]][k - 1][j];
                }
            }
        }
        REP(i, 1000)
        {
            for (int j = 0; (1 << j) <= i; j++)
            {
                if (i >> j & 1)
                    popbit[i].pb(j);
            }
        }
        // solve
        vector<int> vt(7);
        for (int i : bo)
        {
            FOR(h, 0, r)
            {
                REP(d, 6)
                {
                    huong[h][d] = get(i, h, d);
                }
            }
            REP(m, r)
            {
                REP0(h, m)
                {
                    // A
                    int start = huong[h][6];
                    int tam = get(start, m, 4);
                    int e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && vt[1] == i)
                        ans--;
                    // B
                    start = huong[h][1];
                    tam = get(start, m, 5);
                    e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && !dd[vt[1]] && vt[2] == i)
                        ans--;
                    // C
                    start = huong[h][2];
                    tam = get(start, m, 6);
                    e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && vt[3] == i)
                        ans--;
                    // D
                    start = huong[h][3];
                    tam = get(start, m, 1);
                    e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && vt[4] == i)
                        ans--;
                    // E
                    start = huong[h][4];
                    tam = get(start, m, 2);
                    e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && !dd[vt[4]] && vt[5] == i)
                        ans--;
                    // F
                    start = huong[h][5];
                    tam = get(start, m, 3);
                    e = 1;
                    REP(j, 6)
                    {
                        vt[j] = get(tam, m, j);
                        int angle = (j + 2) % 6;
                        if (angle == 0)
                            angle = 6;
                        vt[j] = get(vt[j], h, angle);
                        if (vt[j] == -1 || vt[j] > 3 * (r) * (r + 1))
                        {
                            e = -1;
                            break;
                        }
                    }
                    if (e == 1 && !dd[vt[1]] && !dd[vt[2]] && !dd[vt[3]] && !dd[vt[4]] && !dd[vt[5]] && vt[6] == i)
                        ans--;
                }
            }
        }
        cout << ans << '\n';
    }
}
int32_t main()
{
#define task ""
    if (fopen(task ".inp", "r"))
    {
        freopen(task ".inp", "r", stdin);
        freopen(task ".out", "w", stdout);
    }
    cin.tie(0)->sync_with_stdio(0);
    cin >> r >> n;
    if (n == 0)
    {
        int ans = 0;
        REP(i, r)
        {
            ans += i;
        }
        cout << ans * ans << '\n';
        return 0;
    }
    opp[1] = 4;
    opp[2] = 5;
    opp[3] = 6;
    opp[4] = 1;
    opp[5] = 2;
    opp[6] = 3;
    memset(adj, -1, sizeof adj);
    REP(i, n)
    {
        int x;
        cin >> x;
        dd[x] = 1;
        bo.pb(x);
    }
    REP(i, 6)
    {
        adj[0][i] = i;
        adj[i][opp[i]] = 0;
    }
    int s = 2;
    REP(i, 6)
    {
        int numitr = (i + 1) % 6;
        if (numitr == 0)
            numitr = 6;
        s = (s + 1) % 6;
        if (s == 0)
            s = 6;
        adj[i][s] = numitr;
        adj[numitr][opp[s]] = i;
    }
    REP(i, r)
    {
        int x = 3 * (i + 2) * (i + 1), angle = 6, same = 2;
        for (int itr = 3 * i * (i - 1) + 1, cnt = 0; itr <= 3 * (i + 1) * i; itr++, cnt = (cnt + 1) % i)
        {
            int num = (cnt == 0) ? 3 : 2;
            if (cnt == 0)
            {
                same = (same + 1) % 6;
                if (same == 0)
                    same = 6;
            }
            int numadj = itr + 1;
            if (numadj == 3 * (i + 1) * i + 1)
                numadj = 3 * i * (i - 1) + 1;
            adj[itr][same] = numadj;
            adj[numadj][opp[same]] = itr;
            int x2 = x, angle2 = angle;
            REP(j, num)
            {
                adj[itr][angle2] = x2;
                adj[x2][opp[angle2]] = itr;
                angle2 = (angle2 + 1) % 6;
                if (angle2 == 0)
                    angle2 = 6;
                x2++;
                if (x2 == 3 * (i + 2) * (i + 1) + 1)
                    x2 = 3 * (i + 1) * i + 1;
            }
            REP(j, num - 1)
            {
                x++;
                if (x == 3 * (i + 2) * (i + 1) + 1)
                    x = 3 * (i + 1) * i + 1;
            }
            REP(j, num - 2)
            {
                angle = (angle + 1) % 6;
                if (angle == 0)
                    angle = 6;
            }
        }
    }
    if (r <= 100)
    {
        sub125::solve();
        return 0;
    }
    sub6::solve();
    // printclock;
    return 0;
}