题目链接
题解
非常正常的线性基！
但是我不会线性基……
（吐槽：#define double long double 才过……）
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <iostream>
#define space putchar(' ')
#define enter putchar('\n')
typedef long long ll;
using namespace std;
template <class T>
void read(T &x){
char c;
bool op = 0;
while(c = getchar(), c < '0' || c > '9')
if(c == '-') op = 1;
x = c - '0';
while(c = getchar(), c >= '0' && c <= '9')
x = x * 10 + c - '0';
if(op) x = -x;
}
template <class T>
void write(T x){
if(x < 0) putchar('-'), x = -x;
if(x >= 10) write(x / 10);
putchar('0' + x % 10);
}
#define double long double
const int N = 505;
const double eps = 1e-5;
int n, m, ins[N], ans, cnt;
struct vec {
int val;
double x[N];
bool operator < (const vec &b) const{
return val < b.val;
}
} a[N];
void gauss(){
for(int i = 1; i <= n; i++)
for(int j = 1; j <= m; j++)
if(fabs(a[i].x[j]) > eps){
if(!ins[j]){
cnt++, ans += a[i].val;
ins[j] = i;
break;
}
double rate = a[i].x[j] / a[ins[j]].x[j];
for(int k = m; k >= j; k--)
a[i].x[k] -= rate * a[ins[j]].x[k];
}
}
int main(){
read(n), read(m);
for(int i = 1; i <= n; i++)
for(int j = 1; j <= m; j++)
read(a[i].x[j]);
for(int i = 1; i <= n; i++)
read(a[i].val);
sort(a + 1, a + n + 1);
gauss();
write(cnt), space, write(ans), enter;
return 0;
}