| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1282590 | quan606303 | Knapsack (NOI18_knapsack) | C++20 | 2 ms | 584 KiB |
/*
* @Author: RMQuan
* @Date: 2025-10-23 15:47:29
* @Last Modified by: RMQuan
* @Last Modified time: 2025-10-23 21:40:27
*/
/*idea :
*/
#include <bits/stdc++.h>
bool M1;
#define int long long
#define ll long long
#define INTMAX INT_MAX
#define INTMIN INT_MIN
#define LONGMAX LLONG_MAX
#define LONGMIN LLONG_MIN
#define fi first
#define se second
#define memfull(a,b) memset(a,b,sizeof(a));
#define endl '\n'
#define TASK "TEST"
#define file() if (fopen(TASK".inp","r")){freopen(TASK".inp","r",stdin); freopen(TASK".out","w",stdout);}
using namespace std;
const int MOD=1e9+7;
const int LOG=11;
const int maxn=100005;
int dp[2005],S,n,V[maxn],W[maxn],K[maxn];
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
file();
cin>>S>>n;
for (int i=1;i<=n;i++)cin>>V[i]>>W[i]>>K[i];
map<int,vector<pair<int,int> > > weight;
for (int i=1;i<=n;i++)weight[W[i]].push_back({V[i],K[i]});
for (auto &j:weight)
{
int need=S/j.fi;
sort(j.se.begin(),j.se.end(),greater<pair<int,int> >());
for (auto &i:j.se)
{
int used=min(i.se,need);
vector<int> vt;
for (int x=0;x<=used;x++)
{
if (used-(1<<x)>=0)
{
used-=(1<<x);
vt.push_back(1<<x);
}
}
if (used)vt.push_back(used);
for (auto u:vt)
{
for (int x=S;x>=u*j.fi;x--)dp[x]=max(dp[x],dp[x-u*j.fi]+u*i.fi);
}
need-=used;
if (need==0)break;
}
}
cout<<dp[S];
bool M2;
cerr<<"-------------------------------------------------"<<endl;
cerr<<"Time : "<<clock()<<" ms"<<endl;
cerr<<"Memory : "<<abs(&M2-&M1)/1024/1024<<" MB"<<endl;
cerr<<"-------------------------------------------------"<<endl;
return 0;
}
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