#include<iostream>
#include<vector>
#include<cmath>
using namespace std;
#define int long long
struct big_int
{
int nrcif;
int cif[205];
};
big_int emp = {0,{}};
big_int unu = {1,{1}};
big_int aduna(big_int a, big_int b)
{
if(a.nrcif==0)
return b;
if(b.nrcif==0)
return a;
big_int rez;
rez.nrcif=0;
int r=0;
for(int i=1;i<=max(a.nrcif,b.nrcif);i++)
{
if(i<=a.nrcif) r += a.cif[i];
if(i<=b.nrcif) r += b.cif[i];
rez.cif[i] = r%10;
rez.nrcif = i;
r/=10;
}
while(r>0)
{
rez.cif[++rez.nrcif] = r%10;
r/=10;
}
return rez;
}
big_int inm_nrmic(big_int a, int x)
{
if(a.nrcif==0 || x==0)
return emp;
int r=0;
for(int i=1;i<=a.nrcif;i++)
{
r += a.cif[i] * x;
a.cif[i] = r%10;
r/=10;
}
while(r>0)
{
a.cif[++a.nrcif] = r%10;
r/=10;
}
return a;
}
big_int inm10(big_int a, int p10)
{
big_int rez;
rez.nrcif = p10 + a.nrcif;
for(int i=1;i<=p10;i++)
rez.cif[i] = 0;
for(int i=1;i<=a.nrcif;i++)
rez.cif[p10+i] = a.cif[i];
return rez;
}
big_int inm_nrmari(big_int a, big_int b)
{
if(a.nrcif==0 || b.nrcif==0)
return emp;
big_int rez = emp;
for(int i=1;i<=b.nrcif;i++)
{
rez = aduna(rez, inm10(inm_nrmic(a,b.cif[i]), i-1));
}
return rez;
}
bool compara(big_int a, big_int b)///return 1 daca a<=b
{
if(a.nrcif < b.nrcif)
return 1;
if(a.nrcif > b.nrcif)
return 0;
for(int i=a.nrcif;i>0;i--)
{
if(a.cif[i] < b.cif[i])
return 1;
if(a.cif[i] > b.cif[i])
return 0;
}
return 1;
}
void afis(big_int a)
{
for(int i=a.nrcif;i>0;i--)
cout<<a.cif[i];
cout<<"\n";
}
big_int citeste()
{
string s;
cin>>s;
big_int rez;
rez.nrcif = 0;
for(int i = (int)s.size()-1;i>=0;i--)
rez.cif[++rez.nrcif] = s[i]-'0';
return rez;
}
void solve_mici(int n)
{
int nrs=sqrt(2LL*(n-1));
nrs = max(0LL, nrs-5);
for(int i=nrs;i<=2e9;i++)
{
if(i*(i+1)<=2LL*(n-1))
{
nrs=i;
}
else
break;
}
//cout<<n<<" "<<1LL + (n-1)*2LL - nrs<<"\n";
cout<<1LL + (n-1)*2LL - nrs<<"\n";
//cout<<n<<" "<<nrs<<"\n";
}
signed main()
{
int nmic;
cin>>nmic;
solve_mici(nmic);
return 0;
for(int i=1;i<=100;i++)
solve_mici(i);
return 0;
/*big_int a = {5,{-1,1,9,3,4,5}};
big_int b = {3,{-1,8,7,6}};
afis(a);
afis(b);
cout<<"a+b = ";afis(aduna(a,b));
cout<<"a*b = ";afis(inm_nrmari(a,b));*/
big_int n = citeste();
big_int nrs = emp;
for(int i=200;i>=0;i--)
{
for(int j=9;j>0;j--)
{
big_int news = aduna(nrs,inm10({1,{j}},i));
if(compara(inm_nrmari(news,aduna(news,{1,{1}})), n))
{
nrs = news;
break;
}
}
}
afis(nrs);
}
/**
nrs * (nrs+1) / 2 <= n
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
432 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |