hdu 1005 Number Sequence
2017-05-01 19:30
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Number Sequence
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 170784 Accepted Submission(s): 42133
Problem Description
A number sequence is defined as follows:
f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.
Given A, B, and n, you are to calculate the value of f(n).
Input
The input consists of multiple test cases. Each test case contains 3 integers A, B and n on a single line (1 <= A, B <= 1000, 1 <= n <= 100,000,000). Three zeros signal the end of input and this test case is not to be processed.
Output
For each test case, print the value of f(n) on a single line.
Sample Input
1 1 3
1 2 10
0 0 0
Sample Output
2
5题目解析:这个题的意思就是要求f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.的值。
题目解析:直接对这个方程用函数或递归直接写出都会导致内存超出,要考虑一下,经过思考后发现,这个题会出现循环,48是他的循环周期,这样这个题就变得很简单了。
代码:
#include<cstdio> int ans[49]; int main() { int A,B,n,i; while(~scanf("%d%d%d",&A,&B,&n)) { if(A==0&&B==0&&n==0) printf(""); else { ans[0]=0; ans[1]=1; ans[2]=1; for(i=3; i<=48; i++) ans[i]=(A*ans[i-1]+B*ans[i-2])%7; printf("%d\n",ans[n%48]); } } return 0; }
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