链接:https://vjudge.net/contest/402242#problem/C
思路:
因为x都是正整数,所以一开始x都为1,由f(x+1)-f(x)=2aix+ai+bi,每次找到最小的f(x+1)-f(x),然后这个函数的x+1,维护一下这个增长率。
代码:

#include<bits/stdc++.h>
using namespace std;
#define int long long
typedef long long ll;
const int maxn = 1e5+7;
struct Node{
    int a, b, c;
}f[maxn];
struct S{
    int a, val;
    bool operator < (const S &n1) const {
        return val > n1.val;
    }
    S(){}
    S(int aa, int bb) : a(aa), val(bb){}
};
priority_queue<S> q; 
signed main()
{
    int n, m;
    ll ans = 0;
    cin >> n >> m;
    for(int i = 1; i <= n; i++) {
        cin >> f[i].a >> f[i].b >> f[i].c;
        ans += f[i].a+f[i].b+f[i].c;
    }
    for(int i = 1; i <= n; i++) {
        int x = 2*f[i].a + f[i].a + f[i].b;
        q.push(S(f[i].a, x));
    }
    for(int i = n + 1; i <= m; i++) {
        S tp = q.top();
        ans += tp.val;
        tp.val += 2*tp.a;
        q.push(tp);
    }
    cout << ans << endl;
}