import java.util.*; import java.io.*; public class Main { static int size = 200000; static long[] fac = new long[size]; static long[] finv = new long[size]; static long[] inv = new long[size]; static int mod = 1000000007; static int INF = Integer.MAX_VALUE; static int[] dx = {-2,-2,1,-1}; static int[] dy = {1,-1,-2,-2}; public static void main(String[] args){ FastScanner scanner = new FastScanner(); int n = scanner.nextInt(); int[] a = new int[n]; for(int i = 0; i < n; i++){ a[i] = scanner.nextInt(); } int[] dp = new int[1<> i) & 1) == 0 && ((state >> j) & 1) == 0) { dp[state + (1< n) return gcd(m,n); if(m == 0) return n; return gcd(m, n%m); } static class Edge{ int to; Edge(int to){ this.to = to; } } static class Edge2 implements Comparable{ int from; int to; int id; Edge2(int from, int to, int id){ this.from = from; this.to = to; this.id = id; } public int compareTo(Edge2 e){ return id-e.id; } } static class UnionFind { int[] parent; public UnionFind(int size) { parent = new int[size]; Arrays.fill(parent, -1); } public boolean unite(int x, int y) { x = root(x); y = root(y); if (x != y) { if (parent[y] < parent[x]) { int tmp = y; y = x; x = tmp; } parent[x] += parent[y]; parent[y] = x; return true; } return false; } public boolean same(int x, int y) { return root(x) == root(y); } public int root(int x) { return parent[x] < 0 ? x : (parent[x] = root(parent[x])); } public int size(int x) { return -parent[root(x)]; } } static class BIT{ int n; int[] bit; public BIT(int n){ this.n = n; bit = new int[n+1]; } void add(int idx, int val){ for(int i = idx+1; i <= n; i += i&(-i)) bit[i-1] += val; } int sum(int idx){ int res = 0; for(int i = idx+1; i > 0; i -= i&(-i)) res += bit[i-1]; return res; } int sum(int begin, int end){ if(begin == 0) return sum(end); return sum(end)-sum(begin-1); } } static class RMQ { private int size_, dat[]; private int query_(int a, int b, int k, int l, int r) { if(r <= a || b <= l) return 2147483647; if(a <= l && r <= b) return dat[k]; int lc = query_(a, b, 2 * k, l, (l + r) / 2); int rc = query_(a, b, 2 * k + 1, (l + r) / 2, r); return Math.min(lc, rc); } RMQ(int s) { for(size_ = 1; size_ < s;) size_ *= 2; dat = new int[size_ * 2]; for(int i = 0; i < size_ * 2; i++) dat[i] = 2147483647; } public void update(int pos, int x) { pos += size_; dat[pos] = x; while(pos > 1) { pos /= 2; dat[pos] = Math.min(dat[2 * pos], dat[2 * pos + 1]); } } public int query(int l, int r) { return query_(l, r, 1, 0, size_); } } public static int upperBound(long[] array, long value) { int low = 0; int high = array.length; int mid; while( low < high ) { mid = ((high - low) >>> 1) + low; // (high + low) / 2 if( array[mid] <= value ) { low = mid + 1; } else { high = mid; } } return low; } public static final int lowerBound(final long[] arr, final long value) { int low = 0; int high = arr.length; int mid; while (low < high){ mid = ((high - low) >>> 1) + low; //(low + high) / 2 (オーバーフロー対策) if (arr[mid] < value) { low = mid + 1; } else { high = mid; } } return low; } //繰り返し二乗法 public static long pow(long x, long n){ long ans = 1; while(n > 0){ if((n & 1) == 1){ ans = ans * x; ans %= mod; } x = x * x % mod; n >>= 1; } return ans; } public static long div(long x, long y){ return (x*pow(y, mod-2))%mod; } //fac, inv, finvテーブルの初期化、これ使う場合はinitComb()で初期化必要 public static void initComb(){ fac[0] = finv[0] = inv[0] = fac[1] = finv[1] = inv[1] = 1; for (int i = 2; i < size; ++i) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - (mod / i) * inv[(int) (mod % i)] % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } //nCk % mod public static long comb(int n, int k){ return fac[n] * finv[k] % mod * finv[n - k] % mod; } //n! % mod public static long fact(int n){ return fac[n]; } //(n!)^-1 with % mod public static long finv(int n){ return finv[n]; } static class Pair implements Comparable{ int first, second; Pair(int a, int b){ first = a; second = b; } @Override public boolean equals(Object o){ if (this == o) return true; if (!(o instanceof Pair)) return false; Pair p = (Pair) o; return first == p.first && second == p.second; } @Override public int compareTo(Pair p){ //return first == p.first ? second - p.second : first - p.first; //firstで昇順にソート //return (first == p.first ? second - p.second : first - p.first) * -1; //firstで降順にソート return second == p.second ? first - p.first : second - p.second;//secondで昇順にソート //return (second == p.second ? first - p.first : second - p.second)*-1;//secondで降順にソート //return first * 1.0 / second > p.first * 1.0 / p.second ? 1 : -1; // first/secondの昇順にソート //return first * 1.0 / second < p.first * 1.0 / p.second ? 1 : -1; // first/secondの降順にソート //return second * 1.0 / first > p.second * 1.0 / p.first ? 1 : -1; // second/firstの昇順にソート //return second * 1.0 / first < p.second * 1.0 / p.first ? 1 : -1; // second/firstの降順にソート //return Math.atan2(second, first) > Math.atan2(p.second, p.first) ? 1 : -1; // second/firstの昇順にソート //return first + second > p.first + p.second ? 1 : -1; //first+secondの昇順にソート //return first + second < p.first + p.second ? 1 : -1; //first+secondの降順にソート //return first - second < p.first - p.second ? 1 : -1; //first-secondの降順にソート //return second - first < p.second - p.first ? 1 : -1; //first-secondの昇順にソート //return second - first < p.second - p.first ? -1 : 1; //second-firstの昇順にソート //return Math.atan2(second,first) > Math.atan2(p.second, p.first) ? 1 : -1; } } private static class FastScanner { private final InputStream in = System.in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; 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;} public boolean hasNext() { while(hasNextByte() && !isPrintableChar(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 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 double nextDouble() { return Double.parseDouble(next());} } }