A1358 | [COCI-2016_2017-contest6]#3 Savrsen
来源COCI
时间限制1s
内存限制128MB
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题目描述
A number is perfect if it is equal to the sum of its divisors, the ones that are smaller than it.
For example, number 28 is perfect because 28 = 1 + 2 + 4 + 7 + 1
4.
Motivated by this definition, we introduce the metric of imperfection of number N, denoted with f(N), as the absolute difference between N and the sum of its divisors less than N. It follows that perfect numbers’ imperfection score is 0, and the rest of natural numbers have a higher imperfection score. For example:
● f(6) = |6 - 1 - 2 - 3| = 0, ● f(11) = |11 - 1| = 10, ● f(24) = |24 - 1 - 2 - 3 - 4 - 6 - 8 - 12| = |-12| = 1
2.
Write a programme that, for positive integers A and B, calculates the sum of imperfections of all numbers between A and B: f(A) + f(A + 1) + ... + f(B).
For example, number 28 is perfect because 28 = 1 + 2 + 4 + 7 + 1
4.
Motivated by this definition, we introduce the metric of imperfection of number N, denoted with f(N), as the absolute difference between N and the sum of its divisors less than N. It follows that perfect numbers’ imperfection score is 0, and the rest of natural numbers have a higher imperfection score. For example:
● f(6) = |6 - 1 - 2 - 3| = 0, ● f(11) = |11 - 1| = 10, ● f(24) = |24 - 1 - 2 - 3 - 4 - 6 - 8 - 12| = |-12| = 1
2.
Write a programme that, for positive integers A and B, calculates the sum of imperfections of all numbers between A and B: f(A) + f(A + 1) + ... + f(B).
输入格式
The first line of input contains the positive integers A and B (1 ≤ A ≤ B ≤ 10^7).
输出格式
The first and only line of output must contain the required sum.
输入输出样例
输入 #1
1 9
输出 #1
21
输入 #2
24 24
输出 #2
12
Clarification of the first test case: 1 + 1 + 2 + 1 + 4 + 0 + 6 + 1 + 5.
C++ 编辑器
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输出
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评测结果:Accepted