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hdu 1250 Hat's Fibonacci(高精度加法)


题目:​​http://acm.hdu.edu.cn/showproblem.php?pid=1250​​


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.

2005位的话用高精度计算,算到第8000多应该就够了。

#include <iostream>
#include <cstdio>
using namespace std;
const int maxn=2008;
char f[9000][maxn+2]; //为什么取9000?
int main()
{
int i=5,p=maxn,n,num;
f[1][maxn]=f[2][maxn]=f[3][maxn]=f[4][maxn]=1;
while(f[i-1][1]<=1){
for(int j=maxn;j>=p;j--){
f[i][j]=f[i-1][j]+f[i-2][j]+f[i-3][j]+f[i-4][j]; //******
}
for(int j=maxn;j>=p;j--){
int c=f[i][j]/10;
if(c>0){
f[i][j]=f[i][j]%10;
f[i][j-1]+=c;
}
}
if(f[i][p-1]>0)p--;
i++;
}
while(cin>>n){
for(int k=0;k<=maxn;k++){
if(f[n][k]!=0){
num=k;
break;
}
}
for(int k=num;k<=maxn;k++)printf("%d",f[n][k]);
puts("");
}
return 0;
}





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