Home Web Front-end HTML Tutorial Codeforces Round #190 (Div. 2)-A. Ciel and Dancing_html/css_WEB-ITnose

Codeforces Round #190 (Div. 2)-A. Ciel and Dancing_html/css_WEB-ITnose

Jun 24, 2016 am 11:54 AM

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
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    output

    21 12 1
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    input

    2 2
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    output

    31 11 22 2
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    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 <stdio.h>#include <string.h>#include <iostream>#include <algorithm>#include <vector>#include <queue>#include <set>#include <map>#include <string>#include <math.h>#include <stdlib.h>#include <time.h>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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