#include #include #include #include using namespace std; #define REP(i,s,e) for (i = s; i <= e; i++) #define rep(i,n) REP (i,0,(int)(n)-1) #define RREP(i,s,e) for (i = s; i >= e; i--) #define rrep(i,n) RREP (i,(int)(n)-1,0) #define INF (int)1e8 #define MOD (int)(1e9+7) #define MAX 31 typedef long long ll; typedef ll M[MAX][MAX]; int f[1001001], s[1001001]; void multMM(M a, M b) { int i, j, k; M c; rep (i,MAX) rep (j,MAX) c[i][j] = 0; rep (i,MAX) rep (j,MAX) rep (k,MAX) { c[i][j] = (c[i][j] + a[i][k] * b[k][j]) % MOD; c[i][j] = (c[i][j] + MOD) % MOD; } rep (i,MAX) rep (j,MAX) a[i][j] = c[i][j]; } void powMM(M a, ll n) { int i, j; M tmp; rep (i,MAX) rep (j,MAX) tmp[i][j] = i == j; while (n > 0) { if (n % 2) { multMM(tmp,a); } multMM(a,a); n /= 2; } rep (i,MAX) rep (j,MAX) a[i][j] = tmp[i][j]; } void multMV(M a, int b[MAX]) { int i, j; int tmp[MAX]; rep (i,MAX) tmp[i] = 0; rep (i,MAX) rep (j,MAX) { tmp[i] = (tmp[i] + a[i][j] * b[j]) % MOD; tmp[i] = (tmp[i] + MOD) % MOD; } rep (i,MAX) b[i] = tmp[i]; } int main(void) { int i, n; ll k; scanf("%d%lld",&n,&k); if (k <= (int)1e6) { rep (i,n) scanf("%d",f+i); int sum = 0; rep (i,n) sum = (sum + f[i]) % MOD; REP (i,n,k-1) { f[i] = sum; sum = (sum + f[i] - f[i-n]) % MOD; sum = (sum + MOD) % MOD; } rep (i,k) s[i] = (f[i] + (i > 0 ? s[i-1] : 0)) % MOD; printf("%d %d\n", f[k-1], s[k-1]); } else { int a[MAX] {}; M mat {}; rep (i,n) scanf("%d",a+i+1); rep (i,n) a[i+1] += a[i]; rep (i,n) mat[i][i+1] = 1; mat[n][0] = -1; mat[n][n] = 2; powMM(mat,k-n); multMV(mat,a); printf("%d %d\n",(a[n]-a[n-1]+MOD)%MOD,a[n]); } return 0; }