package no194b; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; import java.util.NoSuchElementException; public class Main { static IO io = new IO(); public static long MOD = 1000000007; public static void main(String[] args) { int n = io.nextInt(); long k = io.nextLong(); int[] a = new int[n+1]; for(int i=1;i<=n;i++) { a[i] = io.nextInt(); } if (k <= 1000000) { solve1(n,(int) k,a); }else{ solve2(n,k,a); } } public static void solve1(int n,int k,int[] a) { long[] f = new long[k+1]; long sum = 0; long psum = 0; for(int i=1;i<=n;i++) { f[i] = a[i]; psum += a[i]; sum += a[i]; } for(int i=n+1;i<=k;i++) { f[i] = psum; sum = (sum + f[i]) % MOD; psum = (psum - f[i-n] + f[i] + MOD) % MOD; } System.out.println(f[k] + " " + sum); } public static void solve2(int n,long k,int[] a) { MatrixMod m = MatrixMod.zero(n+1,n+1); for(int i=0;i= MOD) { c[i][j] -= MOD; } } } return new MatrixMod(c); } public MatrixMod multiply(long k) { k = (k%MOD+MOD)%MOD; long[][] c = new long[n][m]; for(int i=0;i 0) { if ((exp & 1) != 0) { ret = ret.multiply(x); } x = x.multiply(x); exp >>>= 1; } return ret; } public String toString() { return Arrays.deepToString(e); } } class IO extends PrintWriter { private final InputStream in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; public IO() { this(System.in);} public IO(InputStream source) { super(System.out); this.in = source;} private boolean hasNextByte() { if (ptr < buflen) { return true; }else{ ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;} private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;} private static boolean isNewLine(int c) { return c == '\n' || c == '\r';} public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();} public boolean hasNextLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++; return hasNextByte();} public String next() { if (!hasNext()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public char[] nextCharArray(int len) { if (!hasNext()) { throw new NoSuchElementException(); } char[] s = new char[len]; int i = 0; int b = readByte(); while(isPrintableChar(b)) { if (i == len) { throw new InputMismatchException(); } s[i++] = (char) b; b = readByte(); } return s; } public String nextLine() { if (!hasNextLine()) { throw new NoSuchElementException(); } StringBuilder sb = new StringBuilder(); int b = readByte(); while(!isNewLine(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) { throw new NoSuchElementException(); } long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while(true){ if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; }else if(b == -1 || !isPrintableChar(b)){ return minus ? -n : n; }else{ throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { long nl = nextLong(); if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) { throw new NumberFormatException(); } return (int) nl; } public char nextChar() { if (!hasNext()) { throw new NoSuchElementException(); } return (char) readByte(); } public double nextDouble() { return Double.parseDouble(next());} public int[] nextIntArray(int n) { int[] a = new int[n]; for(int i=0;i