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  • BAPC2018 KALLAX Construction

     

     

    Sample Input2

    371
    3
    2 40 65
    2 100 150
    2 300 320

    Sample Output2

    impossible

    Sample Input3

    90
    2
    2 20 35
    2 88 200

    Sample Output3

    88

    Sample Input4

    91
    2
    2 20 35
    2 88 200

    Sample Output4

    200

    背包问题。

      1 #include<iostream>
      2 #include<sstream>
      3 #include<fstream>
      4 #include<algorithm>
      5 #include<cstring>
      6 #include<iomanip>
      7 #include<cstdlib>
      8 #include<cctype>
      9 #include<vector>
     10 #include<string>
     11 #include<cmath>
     12 #include<ctime>
     13 #include<stack>
     14 #include<queue>
     15 #include<map>
     16 #include<set>
     17 #define mem(a,b) memset(a,b,sizeof(a))
     18 #define random(a,b) (rand()%(b-a+1)+a)
     19 #define ll long long
     20 #define ull unsigned long long
     21 #define e 2.71828182
     22 #define Pi acos(-1.0)
     23 #define ls(rt) (rt<<1)
     24 #define rs(rt) (rt<<1|1)
     25 #define lowbit(x) (x&(-x))
     26 using namespace std;
     27 const int MAXN=2e3+5;
     28 ll dp[MAXN];
     29 ll a[MAXN],b[MAXN],c[MAXN];
     30 ll B,k,l;
     31 ll read()
     32 {
     33     ll s=1,x=0;
     34     char ch=getchar();
     35     while(!isdigit(ch)) {if(ch=='-') s=-1;ch=getchar();}
     36     while(isdigit(ch)) {x=10*x+ch-'0';ch=getchar();}
     37     return x*s;
     38 }
     39 void fun(int n)
     40 {    
     41     mem(dp,-1ll);
     42     dp[0]=0;
     43     
     44     for(int i=1;i<=n;++i)
     45     {
     46         for(int j=0;j<=MAXN-a[i];++j)
     47         {
     48             if(dp[j]<0) continue;
     49             int real=dp[j]+b[i];
     50             if(dp[j+a[i]]<0 || dp[j+a[i]]>real)
     51             dp[j+a[i]]=real;
     52         }
     53     }
     54 } 
     55 int main()
     56 {
     57     B=read(),k=read();
     58     bool flag=false;
     59     ll ans=1ll<<60;
     60     int lastnum;
     61     mem(dp,-1ll);
     62     dp[0]=0;
     63     for(int p=1;p<=k;p++)
     64     {
     65         l=read();
     66         if(p>1) for(int i=1;i<=lastnum;++i) a[i]=c[i];//false
     67         for(int i=1;i<=l;++i) c[i]=read();
     68         if(p==1) 
     69         {
     70             for(int i=1;i<=l;++i) 
     71             {
     72                 b[i]=c[i];//true
     73             }
     74         }
     75         else
     76         {
     77             fun(lastnum);
     78             
     79             for(int i=1;i<=l;++i)
     80             {
     81                 for(int j=c[i];j<MAXN;++j)
     82                 if(dp[j]>=0) 
     83                 {
     84                     b[i]=dp[j];
     85                     break;
     86                 }
     87             }
     88         }
     89         for(int i=1;i<=l;++i)
     90         {
     91             if(b[i]>=B)
     92             {
     93                 ans=min(ans,c[i]);
     94                 flag=true;
     95             }
     96         }
     97         lastnum=l;
     98     }
     99     
    100     if(flag) cout<<ans<<endl;
    101     else cout<<"impossible
    ";
    102 }
    View Code
     1 #include <bits/stdc++.h>
     2 using namespace std;
     3 
     4 using ll = long long;
     5 using ii = pair<long, long>;
     6 using vi = vector<ll>;
     7 using vvi = vector<vi>;
     8 using vii = vector<ii>;
     9 using vvii = vector<vii>;
    10 
    11 constexpr int BMAX = 2001;
    12 
    13 int main() {
    14     ios::sync_with_stdio(false);
    15     cin.tie(nullptr);
    16 
    17     ll B;
    18     int K;
    19     cin >> B >> K;
    20 
    21     vvii prices(K);
    22     
    23     for (int i = 0; i < K; ++i) {
    24         vi dp(BMAX+1, -1LL);
    25         dp[0] = 0LL;
    26 
    27         if (i > 0) {
    28             for (ii price : prices[i-1]) {
    29                 ll sticker, real;
    30                 tie(sticker, real) = price;
    31                 for (int j = 0; j <= BMAX - sticker; ++j) {
    32                     if (dp[j] >= 0LL) {
    33                         ll new_real = dp[j] + real;
    34                         if (dp[j+sticker] > new_real || dp[j+sticker] < 0)
    35                             dp[j+sticker] = new_real;
    36                     }
    37                 }
    38             }
    39         }
    40         int L, N;
    41         cin >> L;
    42         while (L--) {
    43             cin >> N;
    44             if (i == 0)
    45                 prices[i].push_back({N, N});
    46             else {
    47                 for (int j = N; j <= BMAX; ++j)
    48                     if (dp[j] >= 0LL) {
    49                         prices[i].push_back({N, dp[j]});
    50                         break;
    51                     }
    52             }
    53         }
    54         
    55         
    56     }
    57     
    58     ll ans = -1LL;
    59     for (int i = 0; i < K; ++i)
    60         for (ii price : prices[i])
    61             if (price.second >= B)
    62                 ans = (ans < 0LL || ans > price.first ? price.first : ans);
    63     if (ans == -1LL) cout << "impossible" << endl;
    64     else cout << ans << endl;
    65 }
    View Code
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  • 原文地址:https://www.cnblogs.com/wangzhebufangqi/p/11442649.html
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