HDU 1316 How Many Fibs? 大数
发布时间:2020-12-14 03:55:01 所属栏目:大数据 来源:网络整理
导读:HDU 1316 题目链接 How Many Fibs? Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 3281????Accepted Submission(s): 1312 Problem Description Recall the definition of the Fibonacci numbe
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HDU 1316 题目链接 How Many Fibs?
Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3281????Accepted Submission(s): 1312
Problem Description
Recall the definition of the Fibonacci numbers:
f1 := 1 f2 := 2 fn := fn-1 + fn-2 (n >= 3) Given two numbers a and b,calculate how many Fibonacci numbers are in the range [a,b].
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Input
The input contains several test cases. Each test case consists of two non-negative integer numbers a and b. Input is terminated by a = b = 0. Otherwise,a <= b <= 10^100. The numbers a and b are given with no superfluous leading zeros.
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Output
For each test case output on a single line the number of Fibonacci numbers fi with a <= fi <= b.
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Sample Input
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Sample Output
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Source
University of Ulm Local Contest 2000
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好吧,这道题目,让我WA了3次,实在是想哭,最后又重看了一遍题目,发现 f[1] = 1 ? f[2] = 2 ?, ?惯性思维害死人
思路也没什么特别的 ?大数相加,然后大数的比较
值得一提的还是审题啊
#include<iostream>
#include<stdio.h>
#include<string>
using namespace std;
struct ds{
int num[105] ;
int len ;
void init( char s[105] = "0" ){
memset( num,sizeof(num) );
len = 0 ;
int l = strlen(s) ;
for( ; len < l ; ++len ){
num[len] = s[l-1-len] - '0' ;
}
return ;
}
void plus( const ds& a,const ds& b ){
this->init();
int maxlen = a.len>b.len?a.len:b.len;
for( len = 0 ; len < maxlen ; ++len )
num[len] = a.num[len] + b.num[len] ;
for( len = 0 ; len < maxlen ; ++len ){
num[len+1] += num[len]/10 ;
num[len] %= 10 ;
}
if( num[len] )
++len ;
return ;
}
bool is_less_than_or_equal_to( const ds& a ){
if( len != a.len )
return len<a.len ;
for( int i = len - 1 ; i >= 0 ; --i ){
if( num[i] != a.num[i] )
return num[i]<a.num[i] ;
}
return true;
}
}fb[500];
int main(){
fb[1].init("1");
fb[2].init("2");
int i,ans ;
for( i = 3 ; i < 500 ; ++i )
fb[i].plus(fb[i-1],fb[i-2]);
char a[105],b[105] ;
ds aa,bb ;
while( scanf( "%s%s",a,b ) ){
if( strcmp(a,"0") == 0 && strcmp(b,"0") == 0 )
break;
aa.init(a);
bb.init(b);
ans = 0;
for( i = 0 ; i < 500 ; ++i )
if( aa.is_less_than_or_equal_to(fb[i]) && fb[i].is_less_than_or_equal_to(bb) )
++ans;
printf( "%dn",ans );
}
return 0;
}
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