题目传送门

题解:

需要注意到的是 每个offer都获益都是会随着时间的增加而渐少(或不变)。

所以我们可以知道,最多在第n个月的时候这个人会买车离开。

 

solve1:最优2分图匹配

我们可以把每个月都和每个offer建边。

val[i][j]代表的是离开前倒数第i个月获取了第j个月的offer, 所以边权就是 max(0ll, a-min(j-1,k)*b).

最后跑一遍km。

所以复杂度是 n^3.

代码:

 1 /*
 2 code by: zstu wxk
 3 time: 2019/02/02
 4 */
 5 #include<bits/stdc++.h>
 6 using namespace std;
 7 #define Fopen freopen("_in.txt","r",stdin); freopen("_out.txt","w",stdout);
 8 #define LL long long
 9 #define ULL unsigned LL
10 #define fi first
11 #define se second
12 #define pb push_back
13 #define lson l,m,rt<<1
14 #define rson m+1,r,rt<<1|1
15 #define lch(x) tr[x].son[0]
16 #define rch(x) tr[x].son[1]
17 #define max3(a,b,c) max(a,max(b,c))
18 #define min3(a,b,c) min(a,min(b,c))
19 typedef pair<int,int> pll;
20 const int inf = 0x3f3f3f3f;
21 const int _inf = 0xc0c0c0c0;
22 const LL INF = 0x3f3f3f3f3f3f3f3f;
23 const LL _INF = 0xc0c0c0c0c0c0c0c0;
24 const LL mod =  (int)1e9+7;
25 const int N = 510;
26 int n;
27 LL val[N][N];
28 LL lx[N], ly[N], slack[N];
29 int linky[N];
30 LL pre[N];
31 bool vis[N], visx[N], visy[N];
32 void bfs(int k){
33     LL px, py = 0,yy = 0, d;
34     memset(pre, 0, sizeof(LL) * (n+2));
35     memset(slack, inf, sizeof(LL) * (n+2));
36     linky[py]=k;
37     do{
38         px = linky[py],d = INF, vis[py] = 1;
39         for(int i = 1; i <= n; i++)
40             if(!vis[i]){
41                 if(slack[i] > lx[px] + ly[i] - val[px][i])
42                     slack[i] = lx[px] + ly[i] -val[px][i], pre[i]=py;
43                 if(slack[i]<d) d=slack[i],yy=i;
44             }
45         for(int i = 0; i <= n; i++)
46             if(vis[i]) lx[linky[i]] -= d, ly[i] += d;
47             else slack[i] -= d;
48         py = yy;
49     }while(linky[py]);
50     while(py) linky[py] = linky[pre[py]] , py=pre[py];
51 }
52 void KM(){
53     memset(lx, 0, sizeof lx);
54     memset(ly, 0, sizeof ly);
55     memset(linky, 0, sizeof(int)*(n+2));
56     for(int i = 1; i <= n; i++)
57         memset(vis, 0, sizeof(bool)*(n+2)), bfs(i);
58 }
59 void input(){
60     scanf("%d", &n);
61     LL a, b, k;
62     for(int i = 1; i <= n; ++i){
63         scanf("%I64d%I64d%I64d", &a, &b, &k);
64         for(LL j = 0; j < n; ++j){
65             val[i][j+1] = max(0ll, a-min(j,k)*b);
66         }
67     }
68 }
69 int main(){
70     input();
71     KM();
72     LL ans = 0;
73     for(int i = 1; i <= n; ++i)
74         ans += lx[i] + ly[i];
75     printf("%lld\n", ans);
76     return 0;
77 }
View Code

相关文章:

  • 2022-12-23
  • 2022-12-23
  • 2022-12-23
  • 2022-12-23
  • 2021-12-20
  • 2021-12-31
  • 2021-11-21
  • 2021-12-20
猜你喜欢
  • 2022-01-29
  • 2021-12-01
  • 2021-08-31
  • 2021-12-13
  • 2022-12-23
  • 2021-06-17
  • 2022-12-23
相关资源
相似解决方案