QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#752164 | #9622. 有限小数 | kindow | WA | 233ms | 192188kb | C++20 | 2.2kb | 2024-11-15 22:24:37 | 2024-11-15 22:24:38 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
vector<int> prime;
vector<bool> is_not_prime(1e6 + 2);
vector<int> fac(1e6 + 2);
vector<set<int> > v(1e6 + 2);
vector<int> phi(1e6 + 10);
ll qp(ll a, ll b, ll mod){
ll z = 1;
while(b){
if(b & 1) z = z * a % mod;
b >>= 1;
a = a * a % mod;
}
return z;
}
void solve(){
ll a, b;
cin >> a >> b;
ll curb = b;
ll num2 = 0;
ll num5 = 0;
ll r = 1;
while(curb % 2 == 0){
curb /= 2;
r *= 2ll;
++num2;
}
while(curb % 5 == 0){
curb /= 5;
++num5;
r *= 5ll;
}
ll b1 = b / r;
vector<ll> p2(40);
vector<ll> p5(40);
p2[0] = p5[0] = 1;
ll curc = 0x7fffffffff;
ll curd = 0x7fffffffff;
for(ll i = 1; i <= 31; ++i){
p2[i] = p2[i - 1] * 2ll;
}
for(ll i = 1; i <= 13; ++i){
p5[i] = p5[i - 1] * 5ll;
}
ll a1 = a / gcd(a, r);
ll r1 = r / gcd(a, r);
for(ll i = 0; i <= 31; ++i){
for(ll j = 0; j <= 13; ++j){
if(__int128_t(p2[i]) * __int128_t(p5[j]) * __int128_t(b1) > 1e9){
continue;
}
ll cur = p2[i] * p5[j] % b1;
ll rv = qp(r1, phi[b1], b1);
ll now = a1 * cur % b1 * rv % b1;
ll c = (-now + b1) % b1;
ll d = p2[i] * p5[j] * b1;
if(c <= curc){
if(c == curc){
curd = min(curd, d);
}
else
curd = d;
curc = c;
}
}
}
cout << curc << ' ' << curd << '\n';
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int t;
cin >> t;
for(int i = 2; i <= 1e6; i++){
if(!is_not_prime[i]){
prime.push_back(i);
fac[i] = i;
}
for(int j : prime){
if(j * i > 1e6) break;
is_not_prime[j * i] = true;
fac[j * i] = j;
if(i % j == 0) break;
}
}
for(int i = 2; i <= 1e6; ++i){
int val = i;
while(val > 1){
v[i].insert(fac[val]);
val /= fac[val];
}
}
phi[1] = 1;
for(int i = 2; i <= 1e6; ++i){
ll cur = i;
phi[i] = 1;
for(auto j: v[i]){
cur /= j;
phi[i] *= j - 1;
}
phi[i] *= cur;
}
while(t--){
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 178ms
memory: 192188kb
input:
4 1 2 2 3 3 7 19 79
output:
0 1 1 3 1 14 3 316
result:
ok 4 case(s)
Test #2:
score: -100
Wrong Answer
time: 233ms
memory: 192000kb
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 54272 1 3 1 70 1 231680000 23 3936 1 36096000 5 326 1 63360 0 1 1 31232 0 1 1 4880 1 5375 1 9250 1 11714560 1 331250 1 2944 1 31 1 3 1 289600000 1 455000 1 58880 1 51840 0 1 1 152 0 1 1 415 1 19328000 1 765000000 1 2320 1 608 1 72192 3 6200 1 6 3 347500 1 944 1 43600 1 190 1 430000 1 6336 1 29...
result:
wrong answer The result is not terminating.(Testcase 3)