g470. 12869: Zeroes
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最近更新 : 2023-08-18 12:43

內容

Factorial n is written as n! and n! = 1∗2∗3∗. . .∗(n−1)∗n. For example 2! = 1∗2 = 2, 3! = 1∗2∗3 = 6, 5! = 120, 10! = 3, 628, 800, etc. The function fzero(n) denotes the number of trailing zeroes in n! in decimal number system. For example fzero(2) = 0, fzero(5) = 1, fzero(10) = 2. Given the domain of the input parameter v of fzero(v) function, you will have to find out how many different values of fzero() are there within this range.

輸入說明

The input file contains at most 50001 lines of inputs. Each line contains two positive integers low and high $(0 < low \leq high \leq 9*10^{18})$. Input is terminated by a line containing two zeroes.

輸出說明

For each line of input produce one line of output. This line contains an integer D, which denotes how many different values the function fzero(v) can have if $(low \leq v \leq high)$. Note: Illustration for Sample input 1: as 1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120, 6! = 720, 7! = 5,040, 8! = 40,320, 9! = 362,880, 10! = 3,628,800, so fzero(1) = 0, fzero(2) = 0, fzero(3) = 0, fzero(4) = 0, fzero(5) = 1, fzero(6) = 1, fzero(7) = 1, fzero(8) = 1, fzero(9) = 1 and fzero(10) = 2. So in this range (1 to 10) there are three different values of fzero(v): 0, 1 and 2.

範例輸入 #1
1 10
1 3
0 0
範例輸出 #1
3
1
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UVA12869CPE第四題 [管理者: fire5386 (becaidorz) ]

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