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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 |
---|---|---|---|---|---|---|---|---|---|
#737282 | #9622. 有限小数 | Ashbourne | TL | 0ms | 3584kb | C++23 | 1.3kb | 2024-11-12 15:18:56 | 2024-11-12 15:18:56 |
Judging History
answer
#pragma GCC optimize(3)
#include<bits/stdc++.h>
#define int long long
#define rep(i, j, k) for(int i = j; i <= k; ++ i)
using namespace std;
int Mod;
int fpow(int a, int b){
int x = 1;
while(b){
if(b & 1) x = x * a % Mod;
a = a * a % Mod;
b >>= 1;
}
return x;
}
void solve(){
int a, b;
cin >> a >> b;
int t1 = 0, t2 = 0, t, x = 1, y = 1, z = 1;
while(b % 2 == 0){
t1++;
b /= 2;
x *= 2;
}
while(b % 5 == 0){
t2++;
b /= 5;
x *= 5;
}
if(b == 1){
cout << 0 << " " << 1 << endl;
return;
}
t = max(t1, t2);
for(int i = 1; i <= t; ++ i) y = y * 10;
z = y / x;
Mod = b;
int tt = b, phi = b;
rep(i, 2, sqrt(tt)){
if(tt % i == 0){
phi /= i;
phi *= (i - 1);
while(tt % i == 0) tt /= i;
}
}
if(tt){
phi /= tt;
phi *= (tt - 1);
}
int tar = a * z % Mod * fpow(y % Mod, phi - 1) % Mod;
int pow2 = 1, bs2 = b;
int minn = 1e9, mind = 1;
while(bs2 <= 1e9){
int pow5 = pow2, c = bs2;
while(c <= 1e9){
int tx = tar * pow5 % Mod;
tx = (Mod - tx);
if(minn > tx){
minn = tx;
mind = c;
}
pow5 *= 5;
c *= 5;
}
pow2 <<= 1;
bs2 <<= 1;
}
cout << minn << " " << mind << endl;
}
signed main(){
ios::sync_with_stdio(0);
int T;
cin >> T;
while(T--) solve();
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3584kb
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 3 1 828125000 1 15 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 15 1 289600000 1 455000 1 115000000