OJ-Problems-Source/HDOJ/4767_autoAC.cpp

82 lines
1.9 KiB
C++
Raw Normal View History

#include <iostream>
#include <stack>
#include <queue>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <set>
#include <vector>
#include <cstring>
#include <algorithm>
#define INF 0x7ffffffffffLL
#define N 50
#define LL long long
#define mod 95041567
using namespace std;
LL num[N][N], q[N];
int p[5] = {31, 37, 41, 43, 47}, arr[5];
void Preprocessing(){
q[0] = q[1]= 1;
num[0][0] = num[1][0] = 1, num[1][1] = 2;
for(int i = 2; i < 50; ++i){
q[i] = num[i][0] = num[i - 1][i - 1];
for(int j = 1; j <= i; ++j)
num[i][j] = (num[i - 1][j - 1] + num[i][j - 1]) %mod;
}
}
int cal(int x, LL n){
int _q[N];
for(int i = 0; i <= x; ++i) _q[i] = q[i] % x;
int len = 0;
int _mod[15];
while(n){
_mod[len++] = n % x;
n /= x;
}
int _arr[N];
for(int i = 1; i < len; ++i)
for(int j = 1; j <= _mod[i]; ++j){
for(int k = 0; k < x; ++k)
_arr[k] = (_q[k] * i + _q[k + 1]) % x;
_arr[x] = (_arr[0] + _arr[1]) % x;
for(int k = 0; k <= x; ++k) _q[k] = _arr[k];
}
return _arr[_mod[0]];
}
void gcd(LL a, LL b, LL &x, LL &y){
if(!b){
x = 1;
y = 0;
return;
}
gcd(b, a % b, y, x);
y -= a / b * x;
}
LL china(){
LL d, y, x = 0;
for(int i = 0; i < 5; ++i){
LL w = mod / p[i];
gcd(p[i], w, d, y);
x = (x + y * w * arr[i]) % mod;
}
return (x + mod) % mod;
}
int main()
{
Preprocessing();
int t;
scanf("%d", &t);
while(t--){
LL n;
scanf("%I64d", &n);
if(n < 50){
printf("%I64d\n", q[n]);
continue;
}
for(int i = 0; i < 5; ++i)
arr[i] = cal(p[i], n);
printf("%I64d\n", china());
}
return 0;
}