#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define fi first #define se second #define rep(i,n) for(int i = 0; i < n; ++i) #define rrep(i,n) for(int i = 1; i <= n; ++i) #define drep(i,n) for(int i = n-1; i >= 0; --i) #define gep(i,g,j) for(int i = g.head[j]; i != -1; i = g.e[i].next) #define each(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++) #define rng(a) a.begin(),a.end() #define maxs(x,y) x = max(x,y) #define mins(x,y) x = min(x,y) #define pb push_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcount #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); using namespace std; typedef long long int ll; typedef pair P; typedef vector vi; inline int in() { int x; scanf("%d",&x); return x;} inline void priv(vi& a) { rep(i,sz(a)) printf("%d%c",a[i],i==sz(a)-1?'\n':' ');} const int MX = 10005, MY = 1000005, INF = 1000010000; const ll LINF = 1000000000000000000ll; const double eps = 1e-10; const int di[] = {-1,0,1,0}, dj[] = {0,-1,0,1}; //^ // Mod int const int mod = 1000000007; struct mint{ ll x; mint():x(0){} mint(ll x):x((x%mod+mod)%mod){} mint operator+=(const mint& a){ if((x+=a.x)>=mod) x-=mod; return *this;} mint operator-=(const mint& a){ if((x+=mod-a.x)>=mod) x-=mod; return *this;} mint operator*=(const mint& a){ (x*=a.x)%=mod; return *this;} mint operator+(const mint& a)const{ return mint(*this) += a;} mint operator-(const mint& a)const{ return mint(*this) -= a;} mint operator*(const mint& a)const{ return mint(*this) *= a;} bool operator==(const mint& a)const{ return x == a.x;} }; // // Matrix struct mat{ //typedef double TT; typedef mint TT; int h, w; vector > d; mat(){} mat(int h, int w, TT v=0):h(h),w(w),d(h,vector(w,v)){} void fil(TT v=0){ rep(i,h)rep(j,w) d[i][j] = v;} void uni(){ rep(i,h)rep(j,w) d[i][j] = (i==j);} mat operator+(const mat& a)const{ // same size mat res(h,w); rep(i,h)rep(j,w) res.d[i][j] = d[i][j]+a.d[i][j]; return res; } mat operator-(const mat& a)const{ // same size mat res(h,w); rep(i,h)rep(j,w) res.d[i][j] = d[i][j]-a.d[i][j]; return res; } mat operator*(const mat& a)const{ // w = a.h mat res(h,a.w); rep(i,h)rep(k,w)rep(j,a.w) res.d[i][j] += d[i][k]*a.d[k][j]; return res; } mat power(ll a){ // h = w if(a == 0){ mat res(h,w); res.uni(); return res; } mat res = power(a/2); res = res*res; if(a&1) res = res*(*this); return res; } }; // mint x[MX+MY]; int main(){ int n; ll k; cin >> n >> k; if (n > 50) { rep(i,n) cin >> x[i].x; mint s = 0; rep(i,n) s += x[i]; for (int i = n; i < n+k+3; ++i) { x[i] = s; s += x[i]; s -= x[i-n]; } cout << x[k-1].x << " "; s = 0; rep(i,k) s += x[i]; cout << s.x << endl; return 0; } mat m(n+1,n+1), m2, a(n+1,1), a2; rep(i,n) { cin >> a.d[i][0].x; } rep(i,n-1) m.d[i][i+1] = 1; rep(i,n) m.d[n-1][i] = 1; m.d[n][n] = m.d[n][0] = 1; m2 = m.power(k); m = m.power(k-1); a2 = m2*a; a = m*a; cout << a.d[0][0].x << " " << a2.d[n][0].x << endl; return 0; }