Submission #948136

#TimeUsernameProblemLanguageResultExecution timeMemory
948136steveonalexKnapsack (NOI18_knapsack)C++11
100 / 100
52 ms3992 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T& container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const int S = 2001;
vector<pair<int, int>> basket[S];
ll dp[S];
 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    int s, n; cin >> s >> n;
    for(int i = 0; i<n; ++i){
        int v, w, k; cin >> v >> w >> k;
        basket[w].push_back({v, min(k, s / w)});
    }

    vector<pair<int, int>> sack;
    for(int i= 1; i<=s; ++i){
        sort(ALL(basket[i]));
        for(int j = 0; j < s / i; ++j){
            if (basket[i].empty()) break;
            sack.push_back({i, basket[i].back().first});
            basket[i].back().second--;
            if (basket[i].back().second == 0) basket[i].pop_back();
        }
    }

    for(auto item: sack){
        for(int i = s; i>=item.first; --i) maximize(dp[i], dp[i - item.first] + item.second);
    }

    cout << dp[s] << "\n";
 
    return 0;
}
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