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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#629082 | #2933. Sequinary Numerals | Tenshi# | WA | 0ms | 3604kb | C++20 | 1.6kb | 2024-10-11 03:14:15 | 2024-10-11 03:14:16 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define debug(x) cerr << #x << ": " << (x) << endl
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define dwn(i,a,b) for(int i=(a);i>=(b);i--)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define x first
#define y second
// #define int __int128
#define int long long
using pii = pair<int, int>;
inline void read(int &x){
int s=0; x=1;
char ch=getchar();
while(ch<'0' || ch>'9') {if(ch=='-')x=-1;ch=getchar();}
while(ch>='0' && ch<='9') s=(s<<3)+(s<<1)+ch-'0',ch=getchar();
x*=s;
}
struct Node{
int a;
pii b;
};
Node res;
pii f(int a, int b){
int g=__gcd(a, b);
return {a/g, b/g};
}
pii add(pii a, pii b){
int lw=a.y*b.y;
int hi=a.x*b.y+a.y*b.x;
return f(hi, lw);
}
Node add(Node x, Node y){
int a=x.a+y.a;
pii b=add(x.b, y.b);
a+=b.x/b.y;
b.x%=b.y;
return {a, b};
}
pii mul(int x, pii y){
int a=x*y.x;
int b=y.y;
return f(a, b);
}
pii mul(pii x, pii y){
int a=x.x*y.x;
int b=x.y*y.y;
return f(a, b);
}
Node mul(Node x, Node y){
int a=x.a*y.a;
pii b={0, 1};
auto t=mul(x.a, y.b);
// debug(t.y);
b=add(b, mul(x.a, y.b));
// debug(b.x), debug(b.y);
b=add(b, mul(y.a, x.b));
b=add(b, mul(x.b, y.b));
a+=b.x/b.y;
b.x%=b.y;
return {a, b};
}
void print(Node x){
cout<<x.a;
if(x.b.x) cout<<" "<<x.b.x<<"/"<<x.b.y;
}
signed main(){
string s; cin>>s;
reverse(all(s));
int n=s.size();
const Node M={{1}, {1, 2}};
Node B={1, {0, 1}};
res={0, {0, 1}};
rep(i, 0, n-1){
Node val={s[i]-'0', {0, 1}};
res=add(res, mul(B, val));
B=mul(B, M);
}
print(res);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3604kb
input:
2101
output:
10
result:
ok single line: '10'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
201
output:
5 1/2
result:
ok single line: '5 1/2'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
2010211122112221202012
output:
16541 873801/1048576
result:
ok single line: '16541 873801/1048576'
Test #4:
score: -100
Wrong Answer
time: 0ms
memory: 3596kb
input:
22222222222222222222222222222222
output:
416444 501334399/-1073741824
result:
wrong answer 1st lines differ - expected: '1725755 572407425/1073741824', found: '416444 501334399/-1073741824'