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User's AC Ratio

100.0% (4/4)

Submission's AC Ratio

55.6% (5/9)

Tags

Description

定義函數 f:NN 如下: f(x)=log2x+log3x++logxx. 給定正整數 N,請你計算 f(2)+f(3)++f(N)。請輸出答案模 109+7

Input Format

輸入只有一個正整數 N

  • 1N1012

Output Format

請輸出一個整數代表答案,答案請模 109+7 後輸出。

Sample Input 1

3

Sample Output 1

3

Sample Input 2

4

Sample Output 2

7

Sample Input 3

100

Sample Output 3

5890

Hints

Problem Source

IOICamp 2021 Day4 pB

Subtasks

No. Testdata Range Constraints Score
1 0~2 範例測資 0
2 0~59 無額外限制 100

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 1000 262144 65536 1 2
1 1000 262144 65536 1 2
2 1000 262144 65536 1 2
3 1000 262144 65536 2
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59 1000 262144 65536 2