Problem: Polycarp has guessed three positive integers a, b and c. He keeps these numbers in secret, but he writes down four numbers on a board in arbitrary order — their pairwise sums (three numbers) and sum of all three numbers (one number). So, there are four numbers on a board in random order: a+b, a+c, b+c and a+b+c.

You have to guess three numbers a, b and c using given numbers. Print three guessed integers in any order.

Pay attention that some given numbers a, b and c can be equal (it is also possible that a=b=c).

Input

The only line of the input contains four positive integers x_1, x_2, x_3, x_4 (2 ≤ x_i ≤ 10^9) — numbers written on a board in random order. It is guaranteed that the answer exists for the given number x_1, x_2, x_3, x_4.

Output

Print such positive integers a, b and c that four numbers written on a board are values a+b, a+c, b+c and a+b+c written in some order. Print a, b and c in any order. If there are several answers, you can print any. It is guaranteed that the answer exists.

Examples

Input


3 6 5 4


Output


2 1 3


Input


40 40 40 60


Output


20 20 20


Input


201 101 101 200


Output


1 100 100

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
namespace IPT {
const int L = 1000000;
char buf[L], *front = buf, *end = buf;
char GetChar() {
  if (front == end) {
    end = buf + fread(front = buf, 1, L, stdin);
    if (front == end) return -1;
  }
  return *(front++);
}
}  // namespace IPT
template <typename T>
inline void qr(T &x) {
  char ch = IPT::GetChar(), lst = ' ';
  while ((ch > '9') || (ch < '0')) lst = ch, ch = IPT::GetChar();
  while ((ch >= '0') && (ch <= '9'))
    x = (x << 1) + (x << 3) + (ch ^ 48), ch = IPT::GetChar();
  if (lst == '-') x = -x;
}
namespace OPT {
char buf[120];
}
template <typename T>
inline void qw(T x, const char aft, const bool pt) {
  if (x < 0) {
    x = -x, putchar('-');
  }
  int top = 0;
  do {
    OPT::buf[++top] = static_cast<char>(x % 10 + '0');
  } while (x /= 10);
  while (top) putchar(OPT::buf[top--]);
  if (pt) putchar(aft);
}
long long int a[4];
int main() {
  ;
  for (auto &i : a) qr(i);
  std::sort(a, a + 4);
  qw(a[3] - a[0], ' ', true);
  qw(a[3] - a[1], ' ', true);
  qw(a[3] - a[2], '\n', true);
  return 0;
}