A magic number is a number formed by concatenation of numbers 1, 14 and 144. We can use each of these numbers any number of times. Therefore 14144, 141414 and 1411 are magic numbers but 1444, 514 and 414 are not.

You're given a number. Determine if it is a magic number or not.

Input

The first line of input contains an integer n, (1 ≤ n ≤ 109). This number doesn't contain leading zeros.

Output

Print "YES" if n is a magic number or print "NO" if it's not.

Examples

Input

114114


Output

YES


Input

1111


Output

YES


Input

441231


Output

NO
#include <bits/stdc++.h>
template <class T>
inline T mod(T n, T m) {
  return (n % m + m) % m;
}
template <class T>
inline void checkmin(T &a, const T b) {
  if (b < a) a = b;
}
template <class T>
inline void checkmax(T &a, const T b) {
  if (b > a) a = b;
}
template <class T, class C>
inline void checkmin(T &a, const T b, C c) {
  if (c(b, a)) a = b;
}
template <class T, class C>
inline void checkmax(T &a, const T b, C c) {
  if (c(a, b)) a = b;
}
template <class T>
inline T min(T a, T b, T c) {
  return min(min(a, b), c);
}
template <class T>
inline T max(T a, T b, T c) {
  return max(max(a, b), c);
}
template <class T>
inline T min(T a, T b, T c, T d) {
  return min(min(a, b), min(c, d));
}
template <class T>
inline T max(T a, T b, T c, T d) {
  return max(max(a, b), max(c, d));
}
template <class T>
inline T gcd(T a, T b) {
  if (a < 0) return gcd(-a, b);
  if (b < 0) return gcd(a, -b);
  return (b == 0) ? a : gcd(b, a % b);
}
template <class T>
inline T lcm(T a, T b) {
  if (a < 0) return lcm(-a, b);
  if (b < 0) return lcm(a, -b);
  return a * (b / gcd(a, b));
}
template <class T>
T Abs(T x) {
  return x > 0 ? x : -x;
}
int bigmod(long long B, long long P, long long M) {
  long long R = 1;
  while (P > 0) {
    if (P % 2 == 1) {
      R = (R * B) % M;
    }
    P /= 2;
    B = (B * B) % M;
  }
  return (int)R;
}
long long mulmod(long long a, long long b, long long c) {
  long long x = 0, y = a % c;
  while (b > 0) {
    if (b % 2 == 1) {
      x = (x + y) % c;
    }
    y = (y * 2) % c;
    b /= 2;
  }
  return x % c;
}
template <class T>
inline T pow(T a, long long b) {
  T c(1);
  while (b) {
    if (b & 1) c *= a;
    a *= a, b >>= 1;
  }
  return c;
}
template <class T>
inline bool scan(T &ret) {
  char c;
  int sgn;
  T bit = 0.1;
  if (c = getchar(), c == EOF) return 0;
  while (c != '-' && c != '.' && (c < '0' || c > '9')) c = getchar();
  sgn = (c == '-') ? -1 : 1;
  ret = (c == '-') ? 0 : (c - '0');
  while (c = getchar(), c >= '0' && c <= '9') ret = ret * 10 + (c - '0');
  if (c == ' ' || c == '\n') {
    ret *= sgn;
    return 1;
  }
  while (c = getchar(), c >= '0' && c <= '9') ret += (c - '0') * bit, bit /= 10;
  ret *= sgn;
  return 1;
}
template <class T>
inline bool isprime(T n) {
  if (n <= 1) return false;
  for (T i = 2; i * i <= n; i++)
    if (n % i == 0) return false;
  return true;
}
bool isvowel(char ch) {
  ch = tolower(ch);
  if (ch == 'a' || ch == 'e' || ch == 'i' || ch == 'o' || ch == 'u')
    return true;
  return false;
}
bool isupper(char c) { return c >= 'A' && c <= 'Z'; }
bool islower(char c) { return c >= 'a' && c <= 'z'; }
bool isletter(char c) {
  return (c >= 'A' && c <= 'Z') || (c >= 'a' && c <= 'z');
}
bool isdigit(char c) { return c >= '0' && c <= '9'; }
int main() {
  std::string s;
  std::cin >> s;
  for (int i = 0; i < (int)s.size(); i++) {
    if (s[i] != '4' && s[i] != '1') {
      puts("NO");
      return 0;
    }
    if (s[i] == '4' && s[i - 1] == '4' && s[i + 1] == '4') {
      puts("NO");
      return 0;
    }
    if (s[i] == '4' && s[i - 1] != '1' && s[i - 2] != '1') {
      puts("NO");
      return 0;
    }
  }
  puts("YES");
  return 0;
}
