Submission #999434

#	Time	Username	Problem	Language	Result	Execution time	Memory
999434		Adi	Knapsack (NOI18_knapsack)	C++14	100 / 100	271 ms	3784 KiB

knapsack

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template <class T>
using indexed_set=tree<int,null_type,less<int>,rb_tree_tag,
tree_order_statistics_node_update>;
const long long M = 1000000007;
#define multiply(a,b) ((a % M ) * (b % M)) % M
#define all(a) (a).begin(), (a).end()
#define ll long long 
#define ld long double 
#define max(a,b)( a > b ? a : b )
#define loop(i,a,b) for(long long  i=a;i<b;i++)
#define rloop(i,a,b) for(int i=a;i>=b;i--)
#define logarr(arr,a,b) for(int i=a;i<b;i++) cout<<arr[i]<<" ";  cout<<endl
#define vi vector<int>
#define pi pair<int,int>
#define f first
#define s second
#define pb push_back
#define pob pop_back
#define p push
#define po pop
#define gcd(a,b) __gcd(a,b)
#define yes "YES\n"
#define no "NO\n"
// find_by_order -> iterator to  value
// order_of_key -> index where value is/will be
long long binary_expo(long long x, long long n) {
        if (n == 0) return 1;
        if (n == 1) return x % M;
        long long temp = binary_expo(x, n / 2);
        temp = multiply(temp, temp);
        if (n % 2) temp = multiply(temp, x);
        return temp;
} 
 
signed main(){
ios::sync_with_stdio(false);cin.tie(NULL);
    ll n,s;
    cin>>s>>n;
    vector<priority_queue<pair<ll,ll>>>trk(s+1);
    ll x,y,z;
    loop(i,0,n){
        cin>>x>>y>>z;
        trk[y].push(make_pair(x,z));
    }
    vector<ll> prev(s+1,LLONG_MIN),nxt(s+1,LLONG_MIN);
    ll p=-1;
    vector<pair<ll,ll>> vec;
    for(ll ind = 1; ind<=s;ind++){
        if( trk[ind].empty() ) continue; 
        prev[0]=0;
        if(  p == -1 ){
            //base case .....
            ll sum=0,prof=0;
            while( !trk[ind].empty() ){
                ll val =trk[ind].top().first;
                ll time= trk[ind].top().second;
                trk[ind].pop();
                prof+=val;
                sum+=ind;
                while( time-- && sum <=s  ){
                    nxt[sum]=prof;
                    prof+=(val);
                    sum+=(ind);
                }
                prof-=val;
                sum-=ind;
            }
        }
        else{
            ll sz=trk[ind].size();
            vec.resize(sz);
            ll x=0;
            while( !trk[ind].empty()  ){
                vec[x]=(trk[ind].top());
                x++;
                trk[ind].pop();
            }
            for(ll sum=0;sum<=s;sum++){
                ll notake = prev[sum]; 
                ll take = LLONG_MIN;
                ll sm  = 0,prof=0,i=0;
                while( i < sz && sum - sm >=0 ){
                    ll val =vec[i].first;
                    ll time=vec[i].second;
                    prof+=val;
                    sm+=ind;
                    while( time-- && sum - sm >= 0 ){
                        if( prev[ sum - sm ] != LLONG_MIN  ){
                            take=max(take,prof+prev[sum-sm]);
                        }
                        prof+=val;
                        sm+=ind;
                    }
                prof -= val;
                sm -= ind;
                    i++;
                }
                nxt[sum]=max(notake,take);
            }
        }
        p=ind;
        prev=nxt;
    }
    ll maxprof=0;
    for(ll i=0;i<=s;i++){
        if( prev[i] != LLONG_MIN)maxprof=max(maxprof,prev[i]);
    }
    std::cout<<maxprof<<endl;
 
return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27