uva Master-Mind Hints
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题目如下:
Master-Mind Hints
MasterMind is a game for two players. One of them, Designer, selects a secret code. The other, Breaker, tries to break it.
A code is no more than a row of colored dots. At the beginning of a game, the players agree upon the length N that a code
must have and upon the colors that may occur in a code.
In order to break the code, Breaker makes a number of guesses, each guess itself being a code. After each guess Designer
gives a hint, stating to what extent the guess matches his secret code.
In this problem you will be given a secret code S1...Sn and a guess g1...gn, and are to determine the hint. A hint
consists of a pair of numbers determined as follows.
A match is a pair (i,j), 1=<i<=n and 1=<j<=n, such that si=gj . Match (i,j) is called strong when i = j, and is called
weak otherwise. Two matches (i,j) and (p,q) are called independent when i = p if and only if j = q. A set of matches is
called independent when all of its members are pairwise independent.
Designer chooses an independent set M of matches for which the total number of matches and the number of strong matches
are both maximal. The hint then consists of the number of strong followed by the number of weak matches in M. Note that
these numbers are uniquely determined by the secret code and the guess. If the hint turns out to be (n,0), then the guess
is identical to the secret code.
Input
The input will consist of data for a number of games. The input for each game begins with an integer specifying N (the
length of the code). Following these will be the secret code, represented as N integers, which we will limit to the range
1 to 9. There will then follow an arbitrary number of guesses, each also represented as N integers, each in the range 1 to
9. Following the last guess in each game will be N zeroes; these zeroes are not to be considered as a guess.
Following the data for the first game will appear data for the second game (if any) beginning with a new value for N. The
last game in the input will be followed by a single zero (when a value for N would normally be specified). The maximum
value for N will be 1000.
Output
The output for each game should list the hints that would be generated for each guess, in order, one hint per line. Each
hint should be represented as a pair of integers enclosed in parentheses and separated by a comma. The entire list of
hints for each game should be prefixed by a heading indicating the game number; games are numbered sequentially starting
with 1. Look at the samples below for the exact format.
Sample Input
4
1 3 5 5
1 1 2 3
4 3 3 5
6 5 5 1
6 1 3 5
1 3 5 5
0 0 0 0
10
1 2 2 2 4 5 6 6 6 9
1 2 3 4 5 6 7 8 9 1
1 1 2 2 3 3 4 4 5 5
1 2 1 3 1 5 1 6 1 9
1 2 2 5 5 5 6 6 6 7
0 0 0 0 0 0 0 0 0 0
0
Sample Output
Game 1:
(1,1)
(2,0)
(1,2)
(1,2)
(4,0)
Game 2:
(2,4)
(3,2)
(5,0)
(7,0)
搜索题,找出strong匹配和weak匹配的数目,已经匹配过的不能进行匹配,所以做上标记。
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