Master-Mind Hints
Time Limit:3000MS Memory Limit:0KB 64bit IO Format:%lld
& %llu
Description
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 and a guess ,
and are to determine the hint. A hint consists of a pair of numbers determined as follows.
A match is a pair (i,j), and ,
such that . 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)
题意:一个游戏,有一个原始的密码,下面n行是你猜的密码,每一行如果相同列的数字是一样的就A++,如果相同的列对应的字母不一样,但是在其他列数上有相同的,则B++,每个数字只能用一次,然后输出(A,B)。
思路:用STL的map记录每个数字出现的次数。然后先找出每一列相同的数,然后当前数字在原始密码和你给出的密码中找出最小的,然后用最小的减去A就是B。
PS:注意输出格式。
#include <stdio.h> #include <string.h> #include <stdlib.h> #include <algorithm> #include <iostream> #include <map> using namespace std; int a[1010]; int b[1010]; int main() { int n,i,j; int t=1; int A,B; while(~scanf("%d",&n)) { if(n==0) break; map<int,int >q; printf ("Game %d:\n",t++); for(i=0;i<n;i++) { scanf("%d",&a[i]); q[a[i]]++; } for(;;) { map<int,int >p; A=B=0; for(i=0;i<n;i++) { scanf("%d",&b[i]); p[b[i]]++; if(a[i]==b[i]) A++; } if(b[0]==0) break; for(i=1;i<=9;i++) B+=min(p[i],q[i]); printf (" (%d,%d)\n",A,B-A); } } return 0; }