pta 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:
例:D, D1--(1个D), D111--(1个D 1个1), D113--(1个D 3个1), D11231--(1个D 2个1 1个3)
给出D和N
输出第n个数
测试得出 1 40
的长度为16138;可以确定范围
代码如下:
思路清晰就好做很多,我刚开始一直在一些细节上出问题,导致输出的很奇怪;注意int转char时+'0';
1 #include<bits/stdc++.h> 2 using namespace std; 3 #define ll long long 4 char a[100000],b[100000]; 5 6 int main() 7 { 8 int d,n; 9 cin >> d >> n; 10 a[0] = d + '0'; 11 int co = 0; 12 char st; 13 if(n == 1) 14 { 15 cout << a[0] << endl; 16 return 0; 17 } 18 else 19 for(int i = 1;i < n;i++) 20 { 21 st = d + '0';//第一个数一直不会改变 22 int num = 0;//记录个数 23 int len = strlen(a); 24 for(int j = 0;j < len;j++) 25 { 26 if(a[j] == st) 27 num++; 28 else 29 { 30 b[co++] = st; 31 st = a[j];//更新st 32 b[co++] = num + '0'; 33 num = 1;//更新num 34 } 35 } 36 b[co++] = st;//最后一个在循环里无法录入,所以单独记录 37 b[co++] = num + '0'; 38 for(int i1 = 0;i1 < co;i1++) 39 a[i1] = b[i1]; 40 co = 0; 41 } 42 cout << a << endl; 43 return 0; 44 }