题目描述
有n个人,每个人都拥有一个喜悦值,接下来,任意三个人之间会进行一次交流,任意三个人交流所获得的贡献为三个人的喜悦值的和,求任意三个人交流所获得的贡献之和
输入格式:
第一行一个整数n
接下来n行,每行一个整数a,表示第i个人的喜悦值
输出格式:
按题目描述输出
样例输入1:
3
2
3
4
样例输出1:
9
约定:
n<=1000
1<=a<=10^100
#include <bits/stdc++.h>
class BigInt
{
public:
BigInt(unsigned int n = 0)
{
if (n == 0)
_data.push_back('0');
else
{
std::string str;
while (n)
{
str.push_back(n % 10 + '0');
n /= 10;
}
_data.assign(str.rbegin(), str.rend());
}
}
BigInt(const std::string &s) : _data(s) {}
private:
std::string _data;
friend BigInt operator+(const BigInt &lsh, const BigInt &rhs);
friend std::istream &operator>>(std::istream &is, BigInt &a);
friend std::ostream &operator<<(std::ostream &os, const BigInt &a);
};
BigInt operator+(const BigInt &lhs, const BigInt &rhs)
{
std::string r;
int carry = 0;
std::string::const_reverse_iterator itr1 = lhs._data.rbegin();
std::string::const_reverse_iterator itr2 = rhs._data.rbegin();
while (itr1 != lhs._data.rend() && itr2 != rhs._data.rend())
{
int a = *itr1 - '0';
int b = *itr2 - '0';
int c = a + b + carry;
if (c >= 10)
{
carry = c / 10;
c %= 10;
}
else
{
carry = 0;
}
r.push_back(c + '0');
++itr1;
++itr2;
}
while (itr1 != lhs._data.rend())
{
int a = *itr1 - '0' + carry;
if (a >= 10)
{
carry = a / 10;
a %= 10;
}
else
{
carry = 0;
}
r.push_back(a + '0');
++itr1;
}
while (itr2 != rhs._data.rend())
{
int a = *itr2 - '0' + carry;
if (a >= 10)
{
carry = a / 10;
a %= 10;
}
else
{
carry = 0;
}
r.push_back(a + '0');
++itr2;
}
if (carry > 0)
r.push_back(carry + '0');
return BigInt(std::string(r.rbegin(), r.rend()));
}
std::istream &operator>>(std::istream &is, BigInt &a)
{
is >> a._data;
return is;
}
std::ostream &operator<<(std::ostream &os, const BigInt &a)
{
os << a._data;
return os;
}
int main()
{
int n;
std::cin >> n;
std::vector<BigInt> a(n);
for (int i = 0; i < n; i++)
std::cin >> a[i];
BigInt sum = 0;
for (int i = 0; i < n - 2; i++)
for (int j = i + 1; j < n - 1; j++)
for (int k = j + 1; k < n; k++)
sum = sum + a[i] + a[j] + a[k];
std::cout << sum;
return 0;
}//源自—GX—
想不出来如何优化
#include <iostream>
#include <string>
#include <iterator>
#include <vector>
class BigInt
{
public:
BigInt(unsigned int n = 0)
{
if (n == 0)
_data.push_back('0');
else
{
while (n)
{
_data.push_back(n % 10 + '0');
n /= 10;
}
}
}
BigInt(const std::string &s) : _data(s.rbegin(), s.rend()) {}
BigInt &operator+=(const BigInt &other);
BigInt &operator*=(const BigInt &other);
BigInt operator+(const BigInt &other) const
{
BigInt t = *this;
t += other;
return t;
}
BigInt operator*(const BigInt &other) const
{
BigInt t = *this;
t *= other;
return t;
}
private:
std::string _data;
friend std::istream &operator>>(std::istream &is, BigInt &a);
friend std::ostream &operator<<(std::ostream &os, const BigInt &a);
};
BigInt &BigInt::operator+=(const BigInt &other)
{
int carry = 0;
std::string::iterator itr1 = _data.begin();
std::string::const_iterator itr2 = other._data.begin();
while (itr1 != _data.end() && itr2 != other._data.end())
{
int a = *itr1 - '0';
int b = *itr2 - '0';
int c = a + b + carry;
carry = c / 10;
c %= 10;
*itr1 = c + '0';
++itr1;
++itr2;
}
while (itr1 != _data.end())
{
int a = *itr1 - '0' + carry;
carry = a / 10;
a %= 10;
*itr1 = a + '0';
++itr1;
}
while (itr2 != other._data.end())
{
int a = *itr2 - '0' + carry;
carry = a / 10;
a %= 10;
_data.push_back(a + '0');
++itr2;
}
if (carry > 0)
_data.push_back(carry + '0');
return *this;
}
BigInt &BigInt::operator*=(const BigInt &other)
{
BigInt r;
for (std::size_t i = 0; i < other._data.size(); i++)
{
int x = other._data[i] - '0';
int carry = 0;
BigInt t = *this;
for (std::string::iterator itr = t._data.begin(); itr != t._data.end(); ++itr)
{
int y = *itr - '0';
int a = x * y + carry;
*itr = a % 10 + '0';
carry = a / 10;
}
if (carry > 0)
t._data.push_back(carry + '0');
if (i > 0)
{
std::string zeros(i, '0');
t._data.insert(t._data.begin(), zeros.begin(), zeros.end());
}
r += t;
}
*this = r;
return *this;
}
std::istream &operator>>(std::istream &is, BigInt &a)
{
std::string s;
is >> s;
a = s;
return is;
}
std::ostream &operator<<(std::ostream &os, const BigInt &a)
{
std::copy(a._data.rbegin(), a._data.rend(), std::ostream_iterator<char>(os));
return os;
}
int main()
{
int n;
std::cin >> n;
std::vector<BigInt> a(n);
for (int i = 0; i < n; i++)
std::cin >> a[i];
BigInt sum = 0;
BigInt num = (n - 1) * (n - 2) / 2;
for (int i = 0; i < n; i++)
sum += a[i] * num;
std::cout << sum;
return 0;
}
下面几个优化点,你可以考虑:
sum = sum + a[i] + a[j] + a[k];
可以改为sum+=a[i]; sum+=a[j]; sum+=a[k];
我有个大整数类,你进我主页看看