#include #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "< pii; typedef vector vi; typedef vector vvi; typedef vector vpii; typedef set si; typedef pair pll; typedef vector vl; typedef vector vvl; typedef vector vpll; typedef set sl; templatestring join(vector&v) {stringstream s;FOR(i,0,sz(v))s<<' '<b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; const int N = 30; ll n, k, a; ll va[N], vb[N], vc[N], vd[N]; ll ma[N][N], mb[N][N], md[N][N]; void merge(ll (&a1)[N][N], ll (&a2)[N][N], ll (&a3)[N][N]){ FOR(i, 0, n)FOR(j, 0, n){ md[i][j] = 0; FOR(k, 0, n) md[i][j] += a1[i][k] * a2[k][j] % mod; md[i][j] %= mod; } FOR(i, 0, n) FOR(j, 0, n) a3[i][j] = md[i][j]; } void prod(ll (&v1)[N], ll (&m)[N][N], ll (&v2)[N]){ FOR(i, 0, n){ vd[i] = 0; FOR(j, 0, n) vd[i] += v1[j] * m[j][i] % mod; vd[i] %= mod; } FOR(i, 0, n) v2[i] = vd[i]; } void pls(ll (&v1)[N], ll (&v2)[N], ll (&v3)[N]){ FOR(i, 0, n) v3[i] = (v1[i] + v2[i]) % mod; } main(){ cin.tie(0); ios::sync_with_stdio(false); cin >> n >> k; ll s=0, f, fk=0; if(k > 1000000){ FOR(i, 0, n){ va[i] = 1; mb[i][i] = 1; ma[n-1][i] = 1; } FOR(i, 0, n-1) ma[i][i+1] = 1; k = k - n; while(k > 0){ if(k & 1){ prod(va, mb, vc); pls(vb, vc, vb); merge(mb, ma, mb); } prod(va, ma, vc); pls(va, vc, va); merge(ma, ma, ma); k >>= 1; } FOR(i, 0, n){ cin >> a; s = (s + a + vb[i]*a) % mod; fk = (fk + mb[n-1][i]*a) % mod; } }else{ queue q; FOR(i, 0, n){ cin >> a; s += a; q.push(a); } f = s; FOR(i, n, k){ s = (s + f) % mod; fk = f; q.push(f); f = (f + f - q.front() + mod) % mod; q.pop(); } } cout << fk << " " << s << endl; return 0; }