HDU1316:How Many Fibs?(大数JAVA)
2449 ワード
L - How Many Fibs?
Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit
Status
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].
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.
Output
For each test case output on a single line the number of Fibonacci numbers fi with a <= fi <= b.
Sample Input
Sample Output
題意:aより大きいbより小さいフィボナッチの数
分析:大数、JAVAを使いましょう
コード:
Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit
Status
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].
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.
Output
For each test case output on a single line the number of Fibonacci numbers fi with a <= fi <= b.
Sample Input
10 100
1234567890 9876543210
0 0
Sample Output
5
4
題意:aより大きいbより小さいフィボナッチの数
分析:大数、JAVAを使いましょう
コード:
import java.io.*;
import java.math.*;
import java.util.*;
import java.text.*;
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
BigInteger[] dp = new BigInteger[1000];
dp[1] = BigInteger.ONE;
dp[2] = BigInteger.ONE.add( BigInteger.ONE );
dp[3] = dp[1].add(dp[2]);
int i;
for (i = 3; i <= 500; ++i) {
dp[i] = dp[i - 1].add(dp[i - 2]);
}
BigInteger l, r;
while (in.hasNextBigInteger()) {
int cnt = 0;
l = in.nextBigInteger();
r = in.nextBigInteger();
if (BigInteger.ZERO.equals(l) && BigInteger.ZERO.equals(r)) {
break;
}
for (int j = 1; j <= 500; ++j) {
if(dp[j].compareTo(r)>0){
break;
}
if(dp[j].compareTo(l)>=0){
cnt++;
}
}
System.out.println(cnt);
}
System.exit(0);
}
}