Hat's Fibonacci
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 7854 Accepted Submission(s): 2551
Problem Description
A Fibonacci sequence is calculated by adding the previous two members the sequence, with the first two members being both 1.
F(1) = 1, F(2) = 1, F(3) = 1,F(4) = 1, F(n>4) = F(n - 1) + F(n-2) + F(n-3) + F(n-4)
Your task is to take a number as input, and print that Fibonacci number.
Input
Each line will contain an integers. Process to end of file.
Output
For each case, output the result in a line.
Sample Input
100
Sample Output
4203968145672990846840663646
Note:
No generated Fibonacci number in excess of 2005 digits will be in the test data, ie. F(20) = 66526 has 5 digits.
Author
戴帽子的
#include<stdio.h>
#include<string.h>
int f1[2050],f2[2050],f3[2050],f4[2050],f5[2050];
int main()
{
int N;
while(~scanf("%d",&N))
{
if(N==1)
printf("1\n");
else if(N==2)
printf("1\n");
else if(N==3)
printf("1\n");
else if(N==4)
printf("1\n");
else
{
memset(f1,0,sizeof(f1));
memset(f2,0,sizeof(f2));
memset(f3,0,sizeof(f3));
memset(f4,0,sizeof(f4));
memset(f5,0,sizeof(f5));
f1[0] = f2[0] = f3[0] = f4[0] = 1;
for(int i = 5; i<= N; i++)
{
for(int j = 0; j <= 2010; j++)
{
f5[j] = f1[j] + f2[j] + f3[j] + f4[j];
if(f5[j] >= 10)
{
f1[j+1] += (f5[j]/10);
f5[j] = (f5[j]%10);
}
f1[j] = f2[j];
f2[j] = f3[j];
f3[j] = f4[j];
f4[j] = f5[j];
}
}
int j;
for(j = 2010; j >= 0; j--)
if(f5[j]!=0)
break;
for(int i = j; i >= 0; i--)
printf("%d",f5[i]);
printf("\n");
}
}
return 0;
}