MJLAR10 - Jollo

Jollo is a simple card game which the children from Logonia love to play. It is played between two players with a normal deck of 52 cards. In the game, cards are ordered according to their rank and suit, forming a sequence of 52 distinct values.

The game is composed of three rounds, played in a best-of-three series (a player must win two rounds to win the game). At the beginning of the game the deck is shuffled and each player is given a hand of three cards. In each round the players show one card to each other and the player with the highest card wins the round. The cards shown in a round are discarded (i.e., they cannot be shown again).

The King’s son loves to play the game. But he is not very smart, losing frequently to his little sister. And when he loses, he cries so loud no one can stand it. The servant who deals the cards to the Prince and his sister is afraid he will be sent to prison if the Prince continues to lose. The servant is allowed to see every card he deals, and after dealing five cards (three to the Princess and two to the Prince) he wants to know which is the lowest card he should deal to the Prince so that there is no chance he will lose the game, no matter how badly he plays.

Input

Each test case is given in a single line that contains five distinct integers A, B, C, X and  Y, describing the cards dealt to the players. The first three cards are given to the Princess (1 ≤ A, B, C ≤ 52) and the last two cards are given to the Prince (1 ≤ X, Y ≤ 52). The last test case is followed by a line containing five zeros.

Output

For each test case output a single line. If there exists a card that will make the Prince win the game no matter how badly he plays, you must print the lowest such a card. Otherwise, print -1.

Example

input
28 51 29 50 52
50 26 19 10 27
10 20 30 24 26
46 48 49 47 50
0 0 0 0 0

output
30
-1
21
51

Added by:psetter
Date:2010-11-05
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:ACM ICPC2010 – Latin American Regional

hide comments
2023-10-03 04:59:56
one more test:
4 38 28 27 39
0 0 0 0 0
output:
40
2020-01-11 03:50:11
Regarding input, as of 2020 the following stands:
- Each line stands for a separate testcase, each contains 5 integers. Stop processing when line begins with 0.
- There are no empty datasets, cases with integers outside of 1..52 range or formatting issues. Input is safe for line-based routines such as Python's standard ones.
2013-01-19 05:36:20 foram
has the input been fixed? getting a WA
2010-11-12 21:11:05 Atulv
there is no first line (4 3) and
input ends with 0 0 0 0 0
2010-11-09 19:43:09 Shaka Shadows
These are the official test data used during the contest. There, the same problem was suffered by a huge number of teams, including mine. We will try to fix the input file. Right now, the input file ends with 0 0 0 0 0.
2010-11-09 19:25:46 fortune cookie
It seems that A or B or C or X or Y can be under 0 or more than 1000, in the judge input...
I got many RE, because of this.
© Spoj.com. All Rights Reserved. Spoj uses Sphere Engine™ © by Sphere Research Labs.