Submission #1153500

#TimeUsernameProblemLanguageResultExecution timeMemory
1153500MPGKnapsack (NOI18_knapsack)C++20
100 / 100
214 ms34496 KiB
//#pragma GCC optomize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("O3")
//#pragma GCC target("avx2")
//#pragma GCC target("sse,sse2,sse4.1,sse4.2") 



#include <bits/stdc++.h>
using namespace std;
typedef long long                           ll;
#define                                     max_heap priority_queue<pair <ll, pair <ll, ll>>>
#define                                     min_heap priority_queue<pair <ll, ll>, vector<pair <ll, ll>>, greater<pair <ll, ll>>>
//#define                                     min_heap priority_queue<ll, vector<ll>, greater<ll>>
#define                                     sariE cin.tie(NULL); cout.tie(NULL); ios_base::sync_with_stdio(false);
#define                                     filE freopen("in.txt", "r", stdin); freopen("out1.txt", "w", stdout); 
#define                                     endl '\n'
#define                                     md(a) (a % mod + mod) % mod
#define pb push_back
//cout << vectorprecision(5) << fixed << f;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

ll const maxn = 2e5 + 123;
ll const inf = 2e18;
ll const loG = 23;
//ll const mod = 1e9 + 7;
ll const mod = 998244353;
ll const sq = 350;
ll power(ll a, ll b, ll mod){if(b==0)return 1;if(b==1)return a;ll x = power(a, b / 2, mod);return (((x * x) % mod) * (b % 2 ? a : 1)) % mod;}


ll n, s, dp[2024][2024];
vector <pair <ll, ll>> vec[2025];

void Solve(){

cin >> s >> n;
for (int i = 1; i < n + 1; i++){
    ll a, b, c; cin >> a >> b >> c;
    vec[b].push_back({a, c});
}
for (int i = 1; i < s + 1; i++){
    sort(vec[i].begin(), vec[i].end()); reverse(vec[i].begin(), vec[i].end());
}
for (int i = 1; i < s + 1; i++){
    for (int j = 1; j < s + 1; j++){
        dp[i][j] = dp[i - 1][j]; ll w = 0, pol = 0;
        for (auto p : vec[i]){
            ll k = p.second;
            while (k){
                k--;
                w += i;
                pol += p.first;
                if ((w > j))
                    break;
                dp[i][j] = max(dp[i][j], dp[i - 1][j - w] + pol);
            }
        }
    }
}
ll ans = 0;
for (int i = 0; i < s + 1; i++)
    ans = max(ans, dp[s][i]);
cout << ans << endl;


}



int main(){
sariE;// filE;



int test = 1;
//cin >> test;
while (test--) Solve();
return 0;
}
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