• 【CF】3B Lorry


    这道题目网上有几个题解,均有问题。其实就是简单的贪心+排序,没必要做的那么复杂。
    一旦tot+curv > v时,显然curv==2, 有三种可能:
    (1)取出最小的curv==1的pp,装入当前的p;
    (2)取出后续最大的curv==1的p,并且装入;
    (3)当前已经是最优的(即后续不存在curv==1的类型),同时前一个的pp比当前的p更优。(这种情况不需要特判)

      1 /* 3B */
      2 #include <iostream>
      3 #include <string>
      4 #include <map>
      5 #include <queue>
      6 #include <set>
      7 #include <stack>
      8 #include <vector>
      9 #include <deque>
     10 #include <algorithm>
     11 #include <cstdio>
     12 #include <cmath>
     13 #include <ctime>
     14 #include <cstring>
     15 #include <climits>
     16 #include <cctype>
     17 #include <cassert>
     18 #include <functional>
     19 #include <iterator>
     20 #include <iomanip>
     21 using namespace std;
     22 //#pragma comment(linker,"/STACK:102400000,1024000")
     23 
     24 #define sti                set<int>
     25 #define stpii            set<pair<int, int> >
     26 #define mpii            map<int,int>
     27 #define vi                vector<int>
     28 #define pii                pair<int,int>
     29 #define vpii            vector<pair<int,int> >
     30 #define rep(i, a, n)     for (int i=a;i<n;++i)
     31 #define per(i, a, n)     for (int i=n-1;i>=a;--i)
     32 #define clr                clear
     33 #define pb                 push_back
     34 #define mp                 make_pair
     35 #define fir                first
     36 #define sec                second
     37 #define all(x)             (x).begin(),(x).end()
     38 #define SZ(x)             ((int)(x).size())
     39 #define lson            l, mid, rt<<1
     40 #define rson            mid+1, r, rt<<1|1
     41 
     42 typedef struct node_t {
     43     int t, p, id;
     44     friend bool operator< (const node_t& a, const node_t& b) {
     45         if (a.p == b.p)
     46             return a.t < b.t;
     47         return a.p > b.p;
     48     }
     49 } node_t;
     50 
     51 const int maxn = 1e5+5;
     52 node_t nd[maxn];
     53 
     54 int main() {
     55     ios::sync_with_stdio(false);
     56     #ifndef ONLINE_JUDGE
     57         freopen("data.in", "r", stdin);
     58         freopen("data.out", "w", stdout);
     59     #endif
     60     
     61     int n, v;
     62     
     63     scanf("%d %d", &n, &v);
     64     rep(i, 1, n+1) {
     65         scanf("%d %d", &nd[i].t, &nd[i].p);
     66         nd[i].id = i;
     67         if (nd[i].t == 1)
     68             nd[i].p += nd[i].p;
     69     }
     70     
     71     sort(nd+1, nd+1+n);
     72     
     73     int i, j, k, p, pp = 0, pid, tot = 0;
     74     int ans = 0, tmp;
     75     vi vc;
     76     
     77     i = 1;
     78     while (i <= n) {
     79         if (nd[i].t == 1) {
     80             k = 1;
     81             p = nd[i].p>>1;
     82             pp = p;
     83             pid = nd[i].id;
     84         } else {
     85             k = 2;
     86             p = nd[i].p;
     87         }
     88         
     89         if (tot+k <= v) {
     90             tot += k;
     91             ans += p;
     92             vc.pb(nd[i].id);
     93         } else if (pp) {
     94             // tot+k > v
     95             // must be k == 2
     96             // and pre has a 1
     97             j = i+1;
     98             while (j<=n && nd[j].t!=1)
     99                 ++j;
    100             
    101             // no type 1 but may be pp < p (becase p is half if the nd[pid].p).
    102             if (j > n) {
    103                 tmp = 0;
    104             } else {
    105                 tmp = nd[j].t>>1;
    106             }
    107             // two way to solve
    108             if (p-pp > tmp) {
    109                 // erase pid and add new id
    110                 for (vi::iterator iter=vc.begin(); iter!=vc.end(); ++iter) {
    111                     if (*iter == pid) {
    112                         vc.erase(iter);
    113                         break;
    114                     }
    115                 }
    116                 vc.pb(nd[i].id);
    117                 ans += p-pp;
    118             } else if (tmp) {
    119                 // add nd[j].id;
    120                 vc.pb(nd[j].id);
    121                 ans += tmp;
    122             }
    123             
    124             break;
    125         }
    126         
    127         if (tot == v)
    128             break;
    129         ++i;
    130     }
    131     
    132     printf("%d
    ", ans);
    133     rep(i, 0, SZ(vc)) {
    134         printf("%d ", vc[i]);
    135     }
    136     putchar('
    ');
    137     
    138     #ifndef ONLINE_JUDGE
    139         printf("time = %d.
    ", (int)clock());
    140     #endif
    141     
    142     return 0;
    143 }
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  • 原文地址:https://www.cnblogs.com/bombe1013/p/4628694.html
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