Problem K. Jhadgre的π

题目描述 

今天的C语言基础课上,Jhadgre做了一道题叫 <求1-1/3+1/5-1/7+…>,可惜Jhadgre虽然是个热爱学习的好同学,但是他还是不会写这道题,于是Jhadgre机智的打开了百度搜索这个公式。突然发现这原来是一种求π的方式。公式如下:
π4=1−13+15−17…

这一下就激发了Jhadgre的兴趣了,Jhadgre想知道π的小数点后第n位的精确值是多少。你可以帮他吗?

输入描述:

每组数据包含一个整数N(1<=N<=10000)表示小数点后第N位

输出描述:

输出一个π的小数点后第N位的数字。

示例1

输入

3

输出

1

题解:第一想法是模拟除法,奈何比赛时时间不够没有来得及实现(以下代码无法通过,会超时)

#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define INF 0×7ffffff
#define EPS 1e-8
#define maxn 2000+10
#define PI acos(-1.0)
#define pb push_back
using namespace std;
//公式:π/2=1+1/3+1/3*2/5+1/3*2/5*3/7……+1*2*3*……n/3*5*……*(2n+1)
//        =1+1/3(1+2/5(1+……+(n-1)/(2n-1)(1+n/(2n+1))……);
int main()
{
    float s;
    int b,x,n,c,i,j,d,l,a[10010];
    cin>>x;
    for(s=0,n=1;n<=10010;n++)//累加确定项数.
    {
        s=s+log10((2*n+1)/n);
        if(s>x+1)
            break;
    }
    for(i=0;i<=x+5;i++)
        a[i]=0;
    for(c=1,j=n;j>=1;j--)//按公式分布计算。
    {
        d=2*j+1;
        for(i=0;i<=x+4;i++)//各位实施除2j+1.
        {
            a[i]=c/d;
            c=(c%d)*10+a[i+1];
        }
        a[x+5]=c/d;
        for(b=0,i=x+5;i>=0;i--)//各位实施乘j
        {
            a[i]=a[i]*j+b;
            b=a[i]/10;
            a[i]=a[i]%10;
        }
        a[0]=a[0]+1;
        c=a[0];//整数加1.
    }
    for(b=0,i=x+5;i>=0;i--)//按公式各位乘2
    {
        a[i]=a[i]*2+b;
        b=a[i]/10;
        a[i]=a[i]%10;
    }
    //诸位输出计算结果。
    /*for(l=10,i=1;i<=x;i++)
    {
        cout<<a[i];
        l++;
        if(l%10==0)
            cout<<"   ";
        if(l%50==0)
            cout<<endl;
    }*/
    cout<<a[x]<<endl;
    return 0;
}

附上IOCCC大赛上的得奖代码, 求pi,可以精确到第56000位. 膜拜大神.(至于原理我也不知道啊)

#include <iostream>
#define MAX_C 56000
int a = 10000, b, c = MAX_C, d, e, f[MAX_C + 1], g, n, ans, cnt;
using namespace std;
int main()
{
    scanf("%d", &n);
    for (; b - c; ) f[b++] = a / 5;
    for (; d = 0, g = c * 2; c -= 14, ans = e + d / a, e = d % a, cnt++) {
        if (cnt * 4 > n) break;
        for (b = c; d += f[b]*a, f[b] = d % --g, d /= g--, --b; d *= b);
    }
    if (n % 4 == 0) cout << (ans / 1000);
    else if (n % 4 == 1) cout << ((ans / 100) % 10);
    else if (n % 4 == 2) cout << ((ans / 10) % 10);
    else if (n % 4 == 3) cout << (ans % 10);
}

还有一个超暴力的

#include<iostream>
using namespace std;
int a[10011]={19260817,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5,0,2,8,8,4,1,9,7,1,6,9,3,9,9,3,7,5,1,0,5,8,2,0,9,7,4,9,4,4,5,9,2,3,0,7,8,1,6,4,0,6,2,8,6,2,0,8,9,9,8,6,2,8,0,3,4,8,2,5,3,4,2,1,1,7,0,6,7,9,8,2,1,4,8,0,8,6,5,1,3,2,8,2,3,0,6,6,4,7,0,9,3,8,4,4,6,0,9,5,5,0,5,8,2,2,3,1,7,2,5,3,5,9,4,0,8,1,2,8,4,8,1,1,1,7,4,5,0,2,8,4,1,0,2,7,0,1,9,3,8,5,2,1,1,0,5,5,5,9,6,4,4,6,2,2,9,4,8,9,5,4,9,3,0,3,8,1,9,6,4,4,2,8,8,1,0,9,7,5,6,6,5,9,3,3,4,4,6,1,2,8,4,7,5,6,4,8,2,3,3,7,8,6,7,8,3,1,6,5,2,7,1,2,0,1,9,0,9,1,4,5,6,4,8,5,6,6,9,2,3,4,6,0,3,4,8,6,1,0,4,5,4,3,2,6,6,4,8,2,1,3,3,9,3,6,0,7,2,6,0,2,4,9,1,4,1,2,7,3,7,2,4,5,8,7,0,0,6,6,0,6,3,1,5,5,8,8,1,7,4,8,8,1,5,2,0,9,2,0,9,6,2,8,2,9,2,5,4,0,9,1,7,1,5,3,6,4,3,6,7,8,9,2,5,9,0,3,6,0,0,1,1,3,3,0,5,3,0,5,4,8,8,2,0,4,6,6,5,2,1,3,8,4,1,4,6,9,5,1,9,4,1,5,1,1,6,0,9,4,3,3,0,5,7,2,7,0,3,6,5,7,5,9,5,9,1,9,5,3,0,9,2,1,8,6,1,1,7,3,8,1,9,3,2,6,1,1,7,9,3,1,0,5,1,1,8,5,4,8,0,7,4,4,6,2,3,7,9,9,6,2,7,4,9,5,6,7,3,5,1,8,8,5,7,5,2,7,2,4,8,9,1,2,2,7,9,3,8,1,8,3,0,1,1,9,4,9,1,2,9,8,3,3,6,7,3,3,6,2,4,4,0,6,5,6,6,4,3,0,8,6,0,2,1,3,9,4,9,4,6,3,9,5,2,2,4,7,3,7,1,9,0,7,0,2,1,7,9,8,6,0,9,4,3,7,0,2,7,7,0,5,3,9,2,1,7,1,7,6,2,9,3,1,7,6,7,5,2,3,8,4,6,7,4,8,1,8,4,6,7,6,6,9,4,0,5,1,3,2,0,0,0,5,6,8,1,2,7,1,4,5,2,6,3,5,6,0,8,2,7,7,8,5,7,7,1,3,4,2,7,5,7,7,8,9,6,0,9,1,7,3,6,3,7,1,7,8,7,2,1,4,6,8,4,4,0,9,0,1,2,2,4,9,5,3,4,3,0,1,4,6,5,4,9,5,8,5,3,7,1,0,5,0,7,9,2,2,7,9,6,8,9,2,5,8,9,2,3,5,4,2,0,1,9,9,5,6,1,1,2,1,2,9,0,2,1,9,6,0,8,6,4,0,3,4,4,1,8,1,5,9,8,1,3,6,2,9,7,7,4,7,7,1,3,0,9,9,6,0,5,1,8,7,0,7,2,1,1,3,4,9,9,9,9,9,9,8,3,7,2,9,7,8,0,4,9,9,5,1,0,5,9,7,3,1,7,3,2,8,1,6,0,9,6,3,1,8,5,9,5,0,2,4,4,5,9,4,5,5,3,4,6,9,0,8,3,0,2,6,4,2,5,2,2,3,0,8,2,5,3,3,4,4,6,8,5,0,3,5,2,6,1,9,3,1,1,8,8,1,7,1,0,1,0,0,0,3,1,3,7,8,3,8,7,5,2,8,8,6,5,8,7,5,3,3,2,0,8,3,8,1,4,2,0,6,1,7,1,7,7,6,6,9,1,4,7,3,0,3,5,9,8,2,5,3,4,9,0,4,2,8,7,5,5,4,6,8,7,3,1,1,5,9,5,6,2,8,6,3,8,8,2,3,5,3,7,8,7,5,9,3,7,5,1,9,5,7,7,8,1,8,5,7,7,8,0,5,3,2,1,7,1,2,2,6,8,0,6,6,1,3,0,0,1,9,2,7,8,7,6,6,1,1,1,9,5,9,0,9,2,1,6,4,2,0,1,9,8,9,3,8,0,9,5,2,5,7,2,0,1,0,6,5,4,8,5,8,6,3,2,7,8,8,6,5,9,3,6,1,5,3,3,8,1,8,2,7,9,6,8,2,3,0,3,0,1,9,5,2,0,3,5,3,0,1,8,5,2,9,6,8,9,9,5,7,7,3,6,2,2,5,9,9,4,1,3,8,9,1,2,4,9,7,2,1,7,7,5,2,8,3,4,7,9,1,3,1,5,1,5,5,7,4,8,5,7,2,4,2,4,5,4,1,5,0,6,9,5,9,5,0,8,2,9,5,3,3,1,1,6,8,6,1,7,2,7,8,5,5,8,8,9,0,7,5,0,9,8,3,8,1,7,5,4,6,3,7,4,6,4,9,3,9,3,1,9,2,5,5,0,6,0,4,0,0,9,2,7,7,0,1,6,7,1,1,3,9,0,0,9,8,4,8,8,2,4,0,1,2,8,5,8,3,6,1,6,0,3,5,6,3,7,0,7,6,6,0,1,0,4,7,1,0,1,8,1,9,4,2,9,5,5,5,9,6,1,9,8,9,4,6,7,6,7,8,3,7,4,4,9,4,4,8,2,5,5,3,7,9,7,7,4,7,2,6,8,4,7,1,0,4,0,4,7,5,3,4,6,4,6,2,0,8,0,4,6,6,8,4,2,5,9,0,6,9,4,9,1,2,9,3,3,1,3,6,7,7,0,2,8,9,8,9,1,5,2,1,0,4,7,5,2,1,6,2,0,5,6,9,6,6,0,2,4,0,5,8,0,3,8,1,5,0,1,9,3,5,1,1,2,5,3,3,8,2,4,3,0,0,3,5,5,8,7,6,4,0,2,4,7,4,9,6,4,7,3,2,6,3,9,1,4,1,9,9,2,7,2,6,0,4,2,6,9,9,2,2,7,9,6,7,8,2,3,5,4,7,8,1,6,3,6,0,0,9,3,4,1,7,2,1,6,4,1,2,1,9,9,2,4,5,8,6,3,1,5,0,3,0,2,8,6,1,8,2,9,7,4,5,5,5,7,0,6,7,4,9,8,3,8,5,0,5,4,9,4,5,8,8,5,8,6,9,2,6,9,9,5,6,9,0,9,2,7,2,1,0,7,9,7,5,0,9,3,0,2,9,5,5,3,2,1,1,6,5,3,4,4,9,8,7,2,0,2,7,5,5,9,6,0,2,3,6,4,8,0,6,6,5,4,9,9,1,1,9,8,8,1,8,3,4,7,9,7,7,5,3,5,6,6,3,6,9,8,0,7,4,2,6,5,4,2,5,2,7,8,6,2,5,5,1,8,1,8,4,1,7,5,7,4,6,7,2,8,9,0,9,7,7,7,7,2,7,9,3,8,0,0,0,8,1,6,4,7,0,6,0,0,1,6,1,4,5,2,4,9,1,9,2,1,7,3,2,1,7,2,1,4,7,7,2,3,5,0,1,4,1,4,4,1,9,7,3,5,6,8,5,4,8,1,6,1,3,6,1,1,5,7,3,5,2,5,5,2,1,3,3,4,7,5,7,4,1,8,4,9,4,6,8,4,3,8,5,2,3,3,2,3,9,0,7,3,9,4,1,4,3,3,3,4,5,4,7,7,6,2,4,1,6,8,6,2,5,1,8,9,8,3,5,6,9,4,8,5,5,6,2,0,9,9,2,1,9,2,2,2,1,8,4,2,7,2,5,5,0,2,5,4,2,5,6,8,8,7,6,7,1,7,9,0,4,9,4,6,0,1,6,5,3,4,6,6,8,0,4,9,8,8,6,2,7,2,3,2,7,9,1,7,8,6,0,8,5,7,8,4,3,8,3,8,2,7,9,6,7,9,7,6,6,8,1,4,5,4,1,0,0,9,5,3,8,8,3,7,8,6,3,6,0,9,5,0,6,8,0,0,6,4,2,2,5,1,2,5,2,0,5,1,1,7,3,9,2,9,8,4,8,9,6,0,8,4,1,2,8,4,8,8,6,2,6,9,4,5,6,0,4,2,4,1,9,6,5,2,8,5,0,2,2,2,1,0,6,6,1,1,8,6,3,0,6,7,4,4,2,7,8,6,2,2,0,3,9,1,9,4,9,4,5,0,4,7,1,2,3,7,1,3,7,8,6,9,6,0,9,5,6,3,6,4,3,7,1,9,1,7,2,8,7,4,6,7,7,6,4,6,5,7,5,7,3,9,6,2,4,1,3,8,9,0,8,6,5,8,3,2,6,4,5,9,9,5,8,1,3,3,9,0,4,7,8,0,2,7,5,9,0,0,9,9,4,6,5,7,6,4,0,7,8,9,5,1,2,6,9,4,6,8,3,9,8,3,5,2,5,9,5,7,0,9,8,2,5,8,2,2,6,2,0,5,2,2,4,8,9,4,0,7,7,2,6,7,1,9,4,7,8,2,6,8,4,8,2,6,0,1,4,7,6,9,9,0,9,0,2,6,4,0,1,3,6,3,9,4,4,3,7,4,5,5,3,0,5,0,6,8,2,0,3,4,9,6,2,5,2,4,5,1,7,4,9,3,9,9,6,5,1,4,3,1,4,2,9,8,0,9,1,9,0,6,5,9,2,5,0,9,3,7,2,2,1,6,9,6,4,6,1,5,1,5,7,0,9,8,5,8,3,8,7,4,1,0,5,9,7,8,8,5,9,5,9,7,7,2,9,7,5,4,9,8,9,3,0,1,6,1,7,5,3,9,2,8,4,6,8,1,3,8,2,6,8,6,8,3,8,6,8,9,4,2,7,7,4,1,5,5,9,9,1,8,5,5,9,2,5,2,4,5,9,5,3,9,5,9,4,3,1,0,4,9,9,7,2,5,2,4,6,8,0,8,4,5,9,8,7,2,7,3,6,4,4,6,9,5,8,4,8,6,5,3,8,3,6,7,3,6,2,2,2,6,2,6,0,9,9,1,2,4,6,0,8,0,5,1,2,4,3,8,8,4,3,9,0,4,5,1,2,4,4,1,3,6,5,4,9,7,6,2,7,8,0,7,9,7,7,1,5,6,9,1,4,3,5,9,9,7,7,0,0,1,2,9,6,1,6,0,8,9,4,4,1,6,9,4,8,6,8,5,5,5,8,4,8,4,0,6,3,5,3,4,2,2,0,7,2,2,2,5,8,2,8,4,8,8,6,4,8,1,5,8,4,5,6,0,2,8,5,0,6,0,1,6,8,4,2,7,3,9,4,5,2,2,6,7,4,6,7,6,7,8,8,9,5,2,5,2,1,3,8,5,2,2,5,4,9,9,5,4,6,6,6,7,2,7,8,2,3,9,8,6,4,5,6,5,9,6,1,1,6,3,5,4,8,8,6,2,3,0,5,7,7,4,5,6,4,9,8,0,3,5,5,9,3,6,3,4,5,6,8,1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,3,4,0,8,4,1,4,8,6,3,7,7,6,7,0,0,9,6,1,2,0,7,1,5,1,2,4,9,1,4,0,4,3,0,2,7,2,5,3,8,6,0,7,6,4,8,2,3,6,3,4,1,4,3,3,4,6,2,3,5,1,8,9,7,5,7,6,6,4,5,2,1,6,4,1,3,7,6,7,9,6,9,0,3,1,4,9,5,0,1,9,1,0,8,5,7,5,9,8,4,4,2,3,9,1,9,8,6,2,9,1,6,4,2,1,9,3,9,9,4,9,0,7,2,3,6,2,3,4,6,4,6,8,4,4,1,1,7,3,9,4,0,3,2,6,5,9,1,8,4,0,4,4,3,7,8,0,5,1,3,3,3,8,9,4,5,2,5,7,4,2,3,9,9,5,0,8,2,9,6,5,9,1,2,2,8,5,0,8,5,5,5,8,2,1,5,7,2,5,0,3,1,0,7,1,2,5,7,0,1,2,6,6,8,3,0,2,4,0,2,9,2,9,5,2,5,2,2,0,1,1,8,7,2,6,7,6,7,5,6,2,2,0,4,1,5,4,2,0,5,1,6,1,8,4,1,6,3,4,8,4,7,5,6,5,1,6,9,9,9,8,1,1,6,1,4,1,0,1,0,0,2,9,9,6,0,7,8,3,8,6,9,0,9,2,9,1,6,0,3,0,2,8,8,4,0,0,2,6,9,1,0,4,1,4,0,7,9,2,8,8,6,2,1,5,0,7,8,4,2,4,5,1,6,7,0,9,0,8,7,0,0,0,6,9,9,2,8,2,1,2,0,6,6,0,4,1,8,3,7,1,8,0,6,5,3,5,5,6,7,2,5,2,5,3,2,5,6,7,5,3,2,8,6,1,2,9,1,0,4,2,4,8,7,7,6,1,8,2,5,8,2,9,7,6,5,1,5,7,9,5,9,8,4,7,0,3,5,6,2,2,2,6,2,9,3,4,8,6,0,0,3,4,1,5,8,7,2,2,9,8,0,5,3,4,9,8,9,6,5,0,2,2,6,2,9,1,7,4,8,7,8,8,2,0,2,7,3,4,2,0,9,2,2,2,2,4,5,3,3,9,8,5,6,2,6,4,7,6,6,9,1,4,9,0,5,5,6,2,8,4,2,5,0,3,9,1,2,7,5,7,7,1,0,2,8,4,0,2,7,9,9,8,0,6,6,3,6,5,8,2,5,4,8,8,9,2,6,4,8,8,0,2,5,4,5,6,6,1,0,1,7,2,9,6,7,0,2,6,6,4,0,7,6,5,5,9,0,4,2,9,0,9,9,4,5,6,8,1,5,0,6,5,2,6,5,3,0,5,3,7,1,8,2,9,4,1,2,7,0,3,3,6,9,3,1,3,7,8,5,1,7,8,6,0,9,0,4,0,7,0,8,6,6,7,1,1,4,9,6,5,5,8,3,4,3,4,3,4,7,6,9,3,3,8,5,7,8,1,7,1,1,3,8,6,4,5,5,8,7,3,6,7,8,1,2,3,0,1,4,5,8,7,6,8,7,1,2,6,6,0,3,4,8,9,1,3,9,0,9,5,6,2,0,0,9,9,3,9,3,6,1,0,3,1,0,2,9,1,6,1,6,1,5,2,8,8,1,3,8,4,3,7,9,0,9,9,0,4,2,3,1,7,4,7,3,3,6,3,9,4,8,0,4,5,7,5,9,3,1,4,9,3,1,4,0,5,2,9,7,6,3,4,7,5,7,4,8,1,1,9,3,5,6,7,0,9,1,1,0,1,3,7,7,5,1,7,2,1,0,0,8,0,3,1,5,5,9,0,2,4,8,5,3,0,9,0,6,6,9,2,0,3,7,6,7,1,9,2,2,0,3,3,2,2,9,0,9,4,3,3,4,6,7,6,8,5,1,4,2,2,1,4,4,7,7,3,7,9,3,9,3,7,5,1,7,0,3,4,4,3,6,6,1,9,9,1,0,4,0,3,3,7,5,1,1,1,7,3,5,4,7,1,9,1,8,5,5,0,4,6,4,4,9,0,2,6,3,6,5,5,1,2,8,1,6,2,2,8,8,2,4,4,6,2,5,7,5,9,1,6,3,3,3,0,3,9,1,0,7,2,2,5,3,8,3,7,4,2,1,8,2,1,4,0,8,8,3,5,0,8,6,5,7,3,9,1,7,7,1,5,0,9,6,8,2,8,8,7,4,7,8,2,6,5,6,9,9,5,9,9,5,7,4,4,9,0,6,6,1,7,5,8,3,4,4,1,3,7,5,2,2,3,9,7,0,9,6,8,3,4,0,8,0,0,5,3,5,5,9,8,4,9,1,7,5,4,1,7,3,8,1,8,8,3,9,9,9,4,4,6,9,7,4,8,6,7,6,2,6,5,5,1,6,5,8,2,7,6,5,8,4,8,3,5,8,8,4,5,3,1,4,2,7,7,5,6,8,7,9,0,0,2,9,0,9,5,1,7,0,2,8,3,5,2,9,7,1,6,3,4,4,5,6,2,1,2,9,6,4,0,4,3,5,2,3,1,1,7,6,0,0,6,6,5,1,0,1,2,4,1,2,0,0,6,5,9,7,5,5,8,5,1,2,7,6,1,7,8,5,8,3,8,2,9,2,0,4,1,9,7,4,8,4,4,2,3,6,0,8,0,0,7,1,9,3,0,4,5,7,6,1,8,9,3,2,3,4,9,2,2,9,2,7,9,6,5,0,1,9,8,7,5,1,8,7,2,1,2,7,2,6,7,5,0,7,9,8,1,2,5,5,4,7,0,9,5,8,9,0,4,5,5,6,3,5,7,9,2,1,2,2,1,0,3,3,3,4,6,6,9,7,4,9,9,2,3,5,6,3,0,2,5,4,9,4,7,8,0,2,4,9,0,1,1,4,1,9,5,2,1,2,3,8,2,8,1,5,3,0,9,1,1,4,0,7,9,0,7,3,8,6,0,2,5,1,5,2,2,7,4,2,9,9,5,8,1,8,0,7,2,4,7,1,6,2,5,9,1,6,6,8,5,4,5,1,3,3,3,1,2,3,9,4,8,0,4,9,4,7,0,7,9,1,1,9,1,5,3,2,6,7,3,4,3,0,2,8,2,4,4,1,8,6,0,4,1,4,2,6,3,6,3,9,5,4,8,0,0,0,4,4,8,0,0,2,6,7,0,4,9,6,2,4,8,2,0,1,7,9,2,8,9,6,4,7,6,6,9,7,5,8,3,1,8,3,2,7,1,3,1,4,2,5,1,7,0,2,9,6,9,2,3,4,8,8,9,6,2,7,6,6,8,4,4,0,3,2,3,2,6,0,9,2,7,5,2,4,9,6,0,3,5,7,9,9,6,4,6,9,2,5,6,5,0,4,9,3,6,8,1,8,3,6,0,9,0,0,3,2,3,8,0,9,2,9,3,4,5,9,5,8,8,9,7,0,6,9,5,3,6,5,3,4,9,4,0,6,0,3,4,0,2,1,6,6,5,4,4,3,7,5,5,8,9,0,0,4,5,6,3,2,8,8,2,2,5,0,5,4,5,2,5,5,6,4,0,5,6,4,4,8,2,4,6,5,1,5,1,8,7,5,4,7,1,1,9,6,2,1,8,4,4,3,9,6,5,8,2,5,3,3,7,5,4,3,8,8,5,6,9,0,9,4,1,1,3,0,3,1,5,0,9,5,2,6,1,7,9,3,7,8,0,0,2,9,7,4,1,2,0,7,6,6,5,1,4,7,9,3,9,4,2,5,9,0,2,9,8,9,6,9,5,9,4,6,9,9,5,5,6,5,7,6,1,2,1,8,6,5,6,1,9,6,7,3,3,7,8,6,2,3,6,2,5,6,1,2,5,2,1,6,3,2,0,8,6,2,8,6,9,2,2,2,1,0,3,2,7,4,8,8,9,2,1,8,6,5,4,3,6,4,8,0,2,2,9,6,7,8,0,7,0,5,7,6,5,6,1,5,1,4,4,6,3,2,0,4,6,9,2,7,9,0,6,8,2,1,2,0,7,3,8,8,3,7,7,8,1,4,2,3,3,5,6,2,8,2,3,6,0,8,9,6,3,2,0,8,0,6,8,2,2,2,4,6,8,0,1,2,2,4,8,2,6,1,1,7,7,1,8,5,8,9,6,3,8,1,4,0,9,1,8,3,9,0,3,6,7,3,6,7,2,2,2,0,8,8,8,3,2,1,5,1,3,7,5,5,6,0,0,3,7,2,7,9,8,3,9,4,0,0,4,1,5,2,9,7,0,0,2,8,7,8,3,0,7,6,6,7,0,9,4,4,4,7,4,5,6,0,1,3,4,5,5,6,4,1,7,2,5,4,3,7,0,9,0,6,9,7,9,3,9,6,1,2,2,5,7,1,4,2,9,8,9,4,6,7,1,5,4,3,5,7,8,4,6,8,7,8,8,6,1,4,4,4,5,8,1,2,3,1,4,5,9,3,5,7,1,9,8,4,9,2,2,5,2,8,4,7,1,6,0,5,0,4,9,2,2,1,2,4,2,4,7,0,1,4,1,2,1,4,7,8,0,5,7,3,4,5,5,1,0,5,0,0,8,0,1,9,0,8,6,9,9,6,0,3,3,0,2,7,6,3,4,7,8,7,0,8,1,0,8,1,7,5,4,5,0,1,1,9,3,0,7,1,4,1,2,2,3,3,9,0,8,6,6,3,9,3,8,3,3,9,5,2,9,4,2,5,7,8,6,9,0,5,0,7,6,4,3,1,0,0,6,3,8,3,5,1,9,8,3,4,3,8,9,3,4,1,5,9,6,1,3,1,8,5,4,3,4,7,5,4,6,4,9,5,5,6,9,7,8,1,0,3,8,2,9,3,0,9,7,1,6,4,6,5,1,4,3,8,4,0,7,0,0,7,0,7,3,6,0,4,1,1,2,3,7,3,5,9,9,8,4,3,4,5,2,2,5,1,6,1,0,5,0,7,0,2,7,0,5,6,2,3,5,2,6,6,0,1,2,7,6,4,8,4,8,3,0,8,4,0,7,6,1,1,8,3,0,1,3,0,5,2,7,9,3,2,0,5,4,2,7,4,6,2,8,6,5,4,0,3,6,0,3,6,7,4,5,3,2,8,6,5,1,0,5,7,0,6,5,8,7,4,8,8,2,2,5,6,9,8,1,5,7,9,3,6,7,8,9,7,6,6,9,7,4,2,2,0,5,7,5,0,5,9,6,8,3,4,4,0,8,6,9,7,3,5,0,2,0,1,4,1,0,2,0,6,7,2,3,5,8,5,0,2,0,0,7,2,4,5,2,2,5,6,3,2,6,5,1,3,4,1,0,5,5,9,2,4,0,1,9,0,2,7,4,2,1,6,2,4,8,4,3,9,1,4,0,3,5,9,9,8,9,5,3,5,3,9,4,5,9,0,9,4,4,0,7,0,4,6,9,1,2,0,9,1,4,0,9,3,8,7,0,0,1,2,6,4,5,6,0,0,1,6,2,3,7,4,2,8,8,0,2,1,0,9,2,7,6,4,5,7,9,3,1,0,6,5,7,9,2,2,9,5,5,2,4,9,8,8,7,2,7,5,8,4,6,1,0,1,2,6,4,8,3,6,9,9,9,8,9,2,2,5,6,9,5,9,6,8,8,1,5,9,2,0,5,6,0,0,1,0,1,6,5,5,2,5,6,3,7,5,6,7,8};
int main(){
int n; cin>>n; cout<<a[n];
return 0;
}

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