import java.io.IOException; import java.io.InputStream; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) { FastScanner sc = new FastScanner(); int N = sc.nextInt(); long[] b = sc.nextLongList(N); long max = b[0] - 1; long min = 1; for (int i = 0; i < N; i ++) { long nextMax, nextMin; if (i % 2 == 0) { nextMax = Math.max(b[i] - min, 1); nextMin = Math.max(b[i] - max, 1); } else { nextMax = Math.max(max - b[i], 1); nextMin = Math.max(min - b[i], 1); } if (nextMin > nextMax) { System.out.println(-1); return; } max = nextMax; min = nextMin; } long[] a = new long[N + 1]; a[N] = min; for (int i = N - 1; i >= 0; i --) { if (i % 2 == 0) { a[i] = b[i] - a[i + 1]; } else { a[i] = a[i + 1] + b[i]; } } StringBuilder sb = new StringBuilder(); sb.append(N + 1); sb.append("\n"); for (int i = 0; i < N + 1; i ++) { if (a[i] <= 0) { System.out.println(-1); return; } sb.append(a[i]); sb.append("\n"); } System.out.println(sb); } } class FastScanner { public static String debug = null; private final InputStream in = System.in; private int ptr = 0; private int buflen = 0; private byte[] buffer = new byte[1024]; private boolean eos = false; private boolean hasNextByte() { if (ptr < buflen) { return true; } else { ptr = 0; try { if (debug != null) { buflen = debug.length(); buffer = debug.getBytes(); debug = ""; eos = true; } else { buflen = in.read(buffer); } } catch (IOException e) { e.printStackTrace(); } if (buflen < 0) { eos = true; return false; } else 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 void skipUnprintable() { while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; } public boolean isEOS() { return this.eos; } public boolean hasNext() { skipUnprintable(); 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 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() { return (int) nextLong(); } public long[] nextLongList(int n) { return nextLongTable(1, n)[0]; } public int[] nextIntList(int n) { return nextIntTable(1, n)[0]; } public long[][] nextLongTable(int n, int m) { long[][] ret = new long[n][m]; for (int i = 0; i < n; i ++) { for (int j = 0; j < m; j ++) { ret[i][j] = nextLong(); } } return ret; } public int[][] nextIntTable(int n, int m) { int[][] ret = new int[n][m]; for (int i = 0; i < n; i ++) { for (int j = 0; j < m; j ++) { ret[i][j] = nextInt(); } } return ret; } }