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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#744762 | #9622. 有限小数 | dmrmra# | TL | 1ms | 3888kb | C++11 | 1.7kb | 2024-11-13 23:12:49 | 2024-11-13 23:12:49 |
Judging History
answer
//
// Created by 16373 on 2024/11/13.
//
#include <bits/stdc++.h>
#define int __int128
using namespace std;
const int mod=998244353,inf=1e24,inf1=1e9;
int gcd(int a,int b)
{
return b ? gcd(b,a % b) : a;
}
__int128 read(){
__int128 x=0,f=1;
char ch=getchar();
while(!isdigit(ch)&&ch!='-')ch=getchar();
if(ch=='-')f=-1,ch=getchar();
while(isdigit(ch))x=x*10+ch-'0',ch=getchar();
return f*x;
}
void print(__int128 x){
if(x<0)putchar('-'),x=-x;
if(x>9)print(x/10);
putchar(x%10+'0');
}
int qpow(int a,int x){
int res=1;
while(x){
if(x&1) res=res*a;
x>>=1;
a*=a;
}
return res;
}
void solve(){
int a,b;
a=read(); b=read();
int prime=b;
int cnt2=0,cnt5=0;
while(prime%2==0){
cnt2++;
prime/=2;
}
while(prime%5==0){
cnt5++;
prime/=5;
}
int pw2=qpow(2,cnt2),pw5=qpow(5,cnt5);
int now2=1;
// unordered_map<int,pair<int,int>> mp;
int c=inf,d;
for(int i=0;prime*now2*pw2*pw5<=inf;i++,now2*=2){
int now=now2;
for(int j=0;prime*now*pw2*pw5<=inf;j++,now*=5){
int md=a*now%prime;
int ans=(prime-md)%prime;
int nc=ans,nd=prime*pw2*pw5*qpow(2,i)*qpow(5,j);
int gc=gcd(nc,nd);
nc/=gc; nd/=gc;
if(nd<=(int)1e9 && nc<c){
c=nc;
d=nd;
}
}
}
print(c); printf(" "); print(d); printf("\n");
}
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int t;
t=read();
while(t--){
solve();
}
return 0;
}
//2
//630
//3029 2336 377 41 10 61
//3000
//20000 10000 0 0 0 0
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3888kb
input:
4 1 2 2 3 3 7 19 79
output:
0 1 1 3 1 4375 3 316
result:
ok 4 case(s)
Test #2:
score: -100
Time Limit Exceeded
input:
10000 11 12 28 53 17 60 2 35 17 181 80 123 68 141 79 163 71 99 13 64 33 61 15 32 16 61 11 86 33 74 128 143 40 53 7 23 30 31 5 6 86 181 73 91 13 23 71 81 1 2 7 38 117 160 33 83 129 151 88 153 25 58 16 19 19 141 95 124 43 96 71 139 11 59 106 109 93 152 34 43 17 99 1 57 20 159 16 25 5 73 159 170 172 17...
output:
1 12 1 828125000 1 60 1 7 1 231680000 23 960937500 1 36096000 5 326 1 63360 0 1 1 61000 0 1 1 4880 1 10750 1 18500 1 11714560 1 331250 1 898437500 1 31 1 6 1 289600000 1 455000 1 115000000 1 1265625 0 1 1 1484375 0 1 1 415 1 235937500 1 765000000 1 181250 1 2968750 1 4406250 3 775 1 48 3 347500 1 94...