杭电1708Fibonacci String
2015-08-12 17:30
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Fibonacci String
Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 4641 Accepted Submission(s): 1566
Problem Description
After little Jim learned Fibonacci Number in the class , he was very interest in it.
Now he is thinking about a new thing -- Fibonacci String .
He defines : str
= str[n-1] + str[n-2] ( n > 1 )
He is so crazying that if someone gives him two strings str[0] and str[1], he will calculate the str[2],str[3],str[4] , str[5]....
For example :
If str[0] = "ab"; str[1] = "bc";
he will get the result , str[2]="abbc", str[3]="bcabbc" , str[4]="abbcbcabbc" …………;
As the string is too long ,Jim can't write down all the strings in paper. So he just want to know how many times each letter appears in Kth Fibonacci String . Can you help him ?
Input
The first line contains a integer N which indicates the number of test cases.
Then N cases follow.
In each case,there are two strings str[0], str[1] and a integer K (0 <= K < 50) which are separated by a blank.
The string in the input will only contains less than 30 low-case letters.
Output
For each case,you should count how many times each letter appears in the Kth Fibonacci String and print out them in the format "X:N".
If you still have some questions, look the sample output carefully.
Please output a blank line after each test case.
To make the problem easier, you can assume the result will in the range of int.
Sample Input
1
ab bc 3
Sample Output
a:1
b:3
c:2
d:0
e:0
f:0
g:0
h:0
i:0
j:0
k:0
l:0
m:0
n:0
o:0
p:0
q:0
r:0
s:0
t:0
u:0
v:0
w:0
x:0
y:0
z:0
Author
linle
Source
HDU 2007-Spring Programming Contest
好坏好坏的一道题,不知道算不算水题,感觉这道题还挺好的,斐波那契字符串,就是说第0串字符为 ab,第1串为bc,那么根据斐波那契第二串字符为abbc,第三串为bcabbc因为第三串里边有1个a,三个b,两个c,别的没有了,所以输出了测试样例那样的.
要是按照斐波那契一个一个字符串的加,估计输入一个50,最后一个的字符串都不知道多长了,同时字符数组也开不了这么大,于是就开始分析,26个字母里边的每一个字母也是按斐波那契规律增长的,比如说,a在第0个字符串里边是1次,第1个字符串里边是0次,第二个里边是1+0=1次,第三次就是1+0=1次,同理得到了样例输出的b:3;
所以根据原理,就可以写出简单的代码.
附ac代码:
#include<stdio.h> #include<string.h> char c[1000],s[1000]; int a[27][100];//储存第1~100次所求字符串里边的第1~26个字母的个数. int main() { int t,m,n,k,i,j; scanf("%d",&t); while(t--) { scanf("%s%s%d",c,s,&n); int len=strlen(c);//测长度 int lem=strlen(s); memset(a,0,sizeof(a));//清零a数组. for(j=0;j<len;j++) for(i=1;i<=26;i++) if(c[j]==i+'a'-1)//如果当前字符等于第i个字母 a[i][1]++;//则在a[i][1]++; for(j=0;j<lem;j++) for(i=1;i<=26;i++) if(s[j]==i+'a'-1) a[i][2]++; //同理得到第二个字符串的 每一个字母有多少个. for(i=1;i<=26;i++) for(j=3;j<=n+1;j++) a[i][j]=a[i][j-1]+a[i][j-2];//进行斐波那契相加. for(i=1;i<=26;i++) printf("%c:%d\n",i+'a'-1,a[i][n+1]); printf("\n");//每一次样例后需要加一个换行,因为没看这个pe了一次. } return 0; }
附测试样例:
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