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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#292128 | #7954. Special Numbers | PhantomThreshold# | WA | 0ms | 3824kb | C++17 | 1.7kb | 2023-12-27 19:17:46 | 2023-12-27 19:17:47 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod=1'000'000'007;
__int128 read(){
string str;
cin >> str;
__int128 ret=0;
for (auto ch:str) ret=ret*10+(ch-'0');
return ret;
}
void add(ll &A,ll B){A+=B;if (A>=mod) A-=mod;}
void sub(ll &A,ll B){A-=B;if (A<0) A+=mod;}
vector<ll> digit;
map<pair<ll,ll>,ll> dict;
ll dfs(ll dep,bool lead,bool lt,ll K){
// cerr << "-------dfs()-------" << endl;
// cerr << dep << " " << lead << " " << lt << " " << K << endl;
if (dep==-1){
if (K==1) return 1;
return 0;
}
pair<ll,ll> PAIR=make_pair(dep,K);
if (lead && lt && dict.count(PAIR)) return dict[PAIR];
ll mx=(lt)?(9):(digit[dep]);
// cerr << "mx : " << mx << endl;
ll ans=0;
for (ll i=0;i<=mx;i++){
bool nxtlead=lead|(i!=0);
bool nxtlt=lt|(i<digit[dep]);
ll nxtK=K;
if (nxtlead){
ll g=__gcd(K,i);
nxtK=K/g;
}
add(ans,dfs(dep-1,nxtlead,nxtlt,nxtK));
}
if (lead && lt) dict[PAIR]=ans;
// cerr << "-----res---------" << endl;
// cerr << dep << " " << lead << " " << lt << " " << K << endl;
// cerr << "ans : " << ans << endl;
return ans;
}
ll gao(__int128 x,ll K){
if (x==0) return 0;
digit.clear();
for (;x;x/=10) digit.emplace_back(x%10);
return dfs((int)digit.size()-1,0,0,K);
}
bool test(ll K){
for (;K%2==0;) K/=2;
for (;K%3==0;) K/=3;
for (;K%5==0;) K/=5;
for (;K%7==0;) K/=7;
return (K==1);
}
int main(){
ios_base::sync_with_stdio(false);
long long K=1e17;
cin >> K;
// __int128 L=1;
// __int128 R=1e20;
__int128 L=read();
__int128 R=read();
// if (!test(K)) cout << 0 << "\n";
ll ans=gao(R,K);
sub(ans,gao(L-1,K));
cout << ans << "\n";
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3548kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: -100
Wrong Answer
time: 0ms
memory: 3600kb
input:
1 1 1
output:
2
result:
wrong answer 1st lines differ - expected: '1', found: '2'