1140 Look-and-say Sequence(20 分)

1140 Look-and-say Sequence(20 分)
Look-and-say sequence is a sequence of integers as the following:

D, D1, D111, D113, D11231, D112213111, ...

where D is in [0, 9] except 1. The (n+1)st number is a kind of description of the nth number. For example, the 2nd number means that there is one D in the 1st number, and hence it is D1; the 2nd number consists of one D (corresponding to D1) and one 1 (corresponding to 11), therefore the 3rd number is D111; or since the 4th number is D113, it consists of one D, two 1's, and one 3, so the next number must be D11231. This definition works for D = 1 as well. Now you are supposed to calculate the Nth number in a look-and-say sequence of a given digit D.

Input Specification:
Each input file contains one test case, which gives D (in [0, 9]) and a positive integer N (≤ 40), separated by a space.

Output Specification:
Print in a line the Nth number in a look-and-say sequence of D.

Sample Input:

1 8

Sample Output:

1123123111

题意:
D是0到9中除1以外的数字。第n+1个数字是第n个数字的一种描述。举个例子,第二个数表示第一个数中只有一个D,因此为D1;第二个数由一个D(D1)和一个1(11)组成,因此第三个数是D111;第四个数是D113,它由一个D(D1),三个1(13)组成;下一个是D11231。
你被要求计算第n个数对于给定的D。

思路:
用一个vector接收。每一次从头开始遍历。
注意一下vector数组结尾时的数据也要进行保存。

题解:

#include<cstdlib>
#include<cstdio>
#include<vector>
using namespace std;
int main() {
    int d, n;
    scanf("%d %d", &d, &n);
    vector<int> num;
    num.push_back(d);
    for (int i = 1; i < n; i++) {
        vector<int> temp;
        int v = num[0];
        int cnt = 0;
        for (int j = 0; j < num.size(); j++) {
            if (num[j] == v) cnt++;
            else{
                temp.push_back(v);
                temp.push_back(cnt);
                cnt = 1;
                v = num[j];
            }
            //如果到达结尾时,要最后一组数据进行push
            if (j == num.size() - 1) {
                temp.push_back(v);
                temp.push_back(cnt);
            }
        }
        num = temp;
    }
    for (int i = 0; i < num.size(); i++) {
        printf("%d", num[i]);
    }
    return 0;
}
©著作权归作者所有,转载或内容合作请联系作者
平台声明:文章内容(如有图片或视频亦包括在内)由作者上传并发布,文章内容仅代表作者本人观点,简书系信息发布平台,仅提供信息存储服务。

推荐阅读更多精彩内容

  • rljs by sennchi Timeline of History Part One The Cognitiv...
    sennchi阅读 7,448评论 0 10
  • **2014真题Directions:Read the following text. Choose the be...
    又是夜半惊坐起阅读 9,880评论 0 23
  • 【一】 下面是文学批评家梅疾愚先生所告诉我们的一段话,应该如何读诗? 分享给可爱的诗友们: 不必用某一艺术标准读诗...
    烟雨心清阅读 494评论 10 11
  • 北门 最近网上有个比较火的文章《你属于哪个阶层》,《中国的阶层正在固化》等一系列文章,文中反复提到在现有社会阶层分...
    北门清阅读 930评论 0 1