# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1272596 | nthvn | Knapsack (NOI18_knapsack) | C++20 | 2 ms | 580 KiB |
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define fi first
#define se second
#define pii pair<int,int>
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define pb push_back
#define ll long long
const int S= 2005, N=1e5+5;
int s,n;
struct DATA{
int v,w,k;
bool operator <(const DATA &o) const{
return v*o.w< w*o.v;
}
void print(){
cerr<<v<<" "<<w<<" "<<k<<"\n";
}
} a[N];
int dp[2][S];
signed main(){
ios_base::sync_with_stdio(NULL);
cin.tie(NULL);
if(fopen("TASK.INP", "r")){
freopen("TASK.INP", "r", stdin);
freopen("TASK.OUT", "w", stdout);
}
cin>>s>>n;
for(int i=1;i<=n;i++){
int v,w,k; cin>>v>>w>>k;
a[i] = {v,w,k};
}
sort(a+1,a+n+1);
// for(int i=1;i<=n;i++) a[i].print();
for(int i=1;i<=n;i++){
int v= a[i].v, w= a[i].w, k= a[i].k;
for(int j=0;j<=s;j++){
int cnt = min(k, j/w);
dp[i&1][j] = max(dp[(i-1)&1][j], dp[(i-1)&1][j-cnt*w]+cnt*v);
// cerr<<i<<" "<<j<<" "<<dp[i&1][j]<<"\n";
}
}
cout<<*max_element(&dp[n&1][0], &dp[n&1][s+1]);
}
Compilation message (stderr)
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