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CodeforcesRound#190(Div.2)-A.CielandDancing_html/css
2020-11-27 15:57:35 责编:小采
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Ciel and Dancing

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Fox Ciel and her friends are in a dancing room. There are n boys and m girls here, and they never danced before. There will be some songs, during each song, there must be exactly one boy and one girl are dancing. Besides, there is a special rule:

  • either the boy in the dancing pair must dance for the first time (so, he didn't dance with anyone before);
  • or the girl in the dancing pair must dance for the first time.
  • Help Fox Ciel to make a schedule that they can dance as many songs as possible.

    Input

    The first line contains two integers n and m (1?≤?n,?m?≤?100) ? the number of boys and girls in the dancing room.

    Output

    In the first line print k ? the number of songs during which they can dance. Then in the following k lines, print the indexes of boys and girls dancing during songs chronologically. You can assume that the boys are indexed from 1 to n, and the girls are indexed from 1 to m.

    Sample test(s)

    input

    2 1

    output

    21 12 1

    input

    2 2

    output

    31 11 22 2

    Note

    In test case 1, there are 2 boys and 1 girl. We can have 2 dances: the 1st boy and 1st girl (during the first song), the 2nd boy and 1st girl (during the second song).

    And in test case 2, we have 2 boys with 2 girls, the answer is 3.






    解题思路:n个boy,m个girl,若每对舞伴中至少有一个之前一次也没都跳过,问能够组成多少对舞伴,并输出。

    贪心,再加上点数学。稍微动点数学常识就可以得出,最多可以组成 n+m-1 对满足要求的舞伴,然后就是怎么构造这么多对舞伴了。可以这样想,我们先用1号boy跟所有的

    girl配对,然后再用剩下的n-1个boy分别跟最后一个girl配对即可。






    AC代码:

    #include #include #include #include #include #include #include #include #include #include #include #include using namespace std;#define INF 0x7fffffffint main(){ #ifdef sxk freopen("in.txt","r",stdin); #endif int n,m; while(scanf("%d%d",&n, &m)!=EOF) { printf("%d\n", m + n - 1); for(int i=1; i<=m; i++) printf("%d %d\n", 1, i); for(int j=2; j<=n; j++) printf("%d %d\n", j, m); } return 0;}

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