//All functions of Big Numbers
//C++
//Source: http://e...content-available-to-author-only...x.ru/algo/big_integer
//
#include <stdio.h>
#include <stdlib.h>
#include <iostream>
#include <vector>
#include <string>
using namespace std;
typedef vector<int> lnum;
const int base = 1000*1000*1000;
//TheFunctions Long Numbers
void output(lnum a);
lnum init(int n);
lnum init(string s);
lnum operator+(lnum a, lnum b);
lnum operator-(lnum a, lnum b);
lnum operator*(lnum a, lnum b);
lnum operator*(lnum a, int b);
lnum operator/(lnum a, int b);
int operator%(lnum a, int b);
bool operator<(lnum a, lnum b);
bool operator>(lnum a, lnum b);
bool operator==(lnum a, lnum b);
//
lnum sqrt(lnum n){
lnum l = init("0");
lnum r = n;
lnum res;
while(l<=r){
lnum m = (l + r)/2;
if(m*m < n || m*m == n){
res = m;
l = m + init("1");
}else
r = m - init("1");
}
return res;
}
int main(){
/*
string a, b;
int c;
cin >> a >> b >> c;
lnum n = init(a);
lnum m = init(b);
cout << a << " + " << b << " = "; output( n+m );
if(n < m) cout << a << " - " << b << " = -", output( m-n );
else cout << a << " - " << b << " = ", output( n-m );
cout << a << " * " << b << " = "; output( n*m );
cout << a << " * " << c << " = "; output( n*c );
cout << a << " / " << c << " = "; output( n/c );
if(n < m) cout << a << " < " << b;
if(n > m) cout << a << " > " << b;
if(n == m) cout << a << " = " << b;
*/
string s;
cin >> s;
lnum n = init(s);
if(sqrt(n*init("20000000000000000")) % 100000000 < 50000000) output(n*2 - sqrt(n*2));
else output(n*2 - sqrt(n*2) - init("1"));
return 0;
}
//The Functions Code
// output the Big Integer
void output(lnum a){
printf("%d", a.empty() ? 0 : a.back());
for(int i = (int)a.size()-2; i >= 0; --i)
printf("%09d", a[i]);
printf("\n");
}
//Initialization of integer to long number
lnum init(int n){
lnum a;
while(n > 0)a.push_back(n % base), n /= base;
return a;
}
//Initialization of string to long number
lnum init(string s){
lnum a;
for(int i = (int)s.length(); i > 0; i-=9)
if(i < 9) a.push_back( atoi( s.substr(0, i).c_str() ) );
else a.push_back( atoi( s.substr(i-9, 9).c_str() ) );
while(a.size() > 1 && a.back() == 0)
a.pop_back();
return a;
}
//The Plussing of two long numbers
lnum operator+(lnum a, lnum b){
int carry = 0;
for(size_t i = 0; i < max(a.size(), b.size()) || carry; ++i){
if(i == a.size())
a.push_back(0);
a[i] += carry + (i < b.size() ? b[i] : 0);
carry = a[i] >= base;
if(carry) a[i] -= base;
}
return a;
}
//The Minus of two long number
lnum operator-(lnum a, lnum b){
int carry = 0;
for(size_t i = 0; i < a.size() || carry; ++i){
a[i] -= carry + (i < b.size() ? b[i] : 0);
carry = a[i] < 0;
if(carry) a[i] += base;
}
while(a.size() > 1 && a.back() == 0)
a.pop_back();
return a;
}
//The Multiple long to int
lnum operator*(lnum a, int b){
int carry = 0;
for(size_t i = 0; i < a.size() || carry; ++i){
if(i == a.size()) a.push_back(0);
long long cur = carry + a[i] * 1ll * b;
a[i] = int(cur % base);
carry = int(cur / base);
}
while(a.size() > 1 && a.back() == 0)
a.pop_back();
return a;
}
//The Multiple long to long
lnum operator*(lnum a, lnum b){
lnum c(a.size()+b.size());
for(size_t i = 0; i < a.size(); ++i)
for(int j = 0, carry = 0; j < (int)b.size() || carry; ++j){
long long cur = c[i+j] + a[i] * 1ll * (j < (int)b.size() ? b[j] : 0) + carry;
c[i+j] = int(cur % base);
carry = int(cur / base);
}
while(c.size() > 1 && c.back() == 0)
c.pop_back();
return c;
}
//The Divisible long to int
lnum operator/(lnum a, int b){
int carry = 0;
for(int i = (int)a.size()-1; i >= 0; --i){
long long cur = a[i] + carry * 1ll * base;
a[i] = int(cur / b);
carry = int(cur % b);
}
while(a.size() > 1 && a.back() == 0)
a.pop_back();
return a;
}
int operator%(lnum a, int b){
int carry = 0;
for(int i = (int)a.size()-1; i >= 0; --i){
long long cur = a[i] + carry * 1ll * base;
a[i] = int(cur / b);
carry = int(cur % b);
}
return carry;
}
//The Biggest operator
bool operator>(lnum a, lnum b){
if(a.size() > b.size()) return 1;
if(a.size() < b.size()) return 0;
for(int i = (int)a.size()-1; i >= 0; --i){
if(a[i] > b[i]) return 1;
if(a[i] < b[i]) return 0;
}
return 0;
}
//The Smallest operator
bool operator<(lnum a, lnum b){
return (b > a);
}
//The Equal operator
bool operator==(lnum a, lnum b){
return !(a < b || a > b);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
256 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Incorrect |
0 ms |
364 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |