A - A Math Problem

本文介绍了一种通过预计算特定范围内的阶乘值来解决大数问题的方法,使用C语言实现了一个程序,该程序能够计算出满足条件 kk≤n 的正整数k的数量。
You are given a positive integer n, please count how many positive integers k satisfy kknkk≤n
InputThere are no more than 50 test cases.  Each case only contains a positivse integer n in a line.  1n10181≤n≤1018  OutputFor each test case, output an integer indicates the number of positive integers k satisfy kknkk≤n in a line.Sample Input
1
4
Sample Output
1
2

解题思路:对于这个题,一点是数据很大,所以记得开long long,我第一次忘记开了,WA了一发,然后就是计算一下10的18次方附近的数值,会发现是15 的 15 和16的 16 之间所以打个一小小的表就可以了
#include<stdio.h>
#include<string.h>
int main()
{
	long long int a[51];
	for(long long int i = 1; i < 16;i++)
	{
		a[i] = 1;
		for(long long int j = 1; j <= i;j++)
		{
			a[i] = a[i]*i;
		}
	}
	
	
	long long int n;
	while(~scanf("%lld",&n))
	{
		int ans = 0;
		for(int i = 1; i < 16;i++)
		{
			if(n >= a[i])
			ans++;
			if(n < a[i])
			break;
		}
		printf("%d\n",ans);
		
	}
	return 0;
}

### Orca Math Word Problems Dataset Overview The **Orca-Math** project focuses on generating a high-quality synthetic dataset specifically designed to unlock the potential of solving elementary school mathematics problems. This dataset contains 200,000 synthesized mathematical word problems created through a multi-agent system where agents collaborate to generate diverse and complex questions[^1]. #### Example Structure of Data Entries Each entry within this extensive dataset includes detailed information about various types of arithmetic operations such as addition, subtraction, multiplication, division, fractions, decimals, percentages, ratios, proportions, geometry concepts like area calculation, perimeter determination among others. ```json { "id": "problem_0001", "question": "If John has 8 apples and he gives away half of them to his friend, how many does he have left?", "answer": "John will have 4 apples remaining.", "difficulty_level": "easy" } ``` This structure ensures that each problem is well-defined with clear context provided by natural language descriptions along with correct answers for validation purposes during training models or educational applications development phases. #### Applications in Education Technology Such datasets can significantly enhance machine learning algorithms aimed at improving automated tutoring systems capable of understanding student queries better while providing accurate solutions tailored towards individual learners' needs over time based upon continuous feedback loops implemented into these platforms effectively enhancing personalized education experiences overall.
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