Submission #767230

#TimeUsernameProblemLanguageResultExecution timeMemory
767230synthesisKnapsack (NOI18_knapsack)C++17
12 / 100
35 ms6352 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fi first
#define se second
#define pii pair<int, int>
#define pb push_back
#define vi vector<int>
#define all(x) x.begin(), x.end()

using namespace std;
using namespace __gnu_pbds;
using ll = long long int;
using ull = unsigned long long int;

constexpr ll mod = 1e9 + 7;
constexpr ll INF = LONG_LONG_MAX;

int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, 1, 0, -1};
string moves = "URDL";

int main()
{
    //tree<ll, null_type,less<ll>, rb_tree_tag,tree_order_statistics_node_update> q;
    /*freopen("problemname.in", "r", stdin);
    freopen("problemname.out", "w", stdout);*/
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int s, n;
    cin >> s >> n;
    map<int, vector<int>> t;
    for(int i = 0;i<n;++i) {
        int x, y, z;
        cin >> x >> y >> z;
        int nn = min(s, z);
        while(nn-- && (int)t[y].size() <= s) {
            t[y].pb(x);
        }
    }
    for(auto& [x, y]:t) {
        vi c = y;
        sort(all(c));
        reverse(all(c));
        t[x] = c;
    }
    int dp[s + 1][s + 1], ans = 0;
    memset(dp, 0, sizeof dp);
    for(int i = 1;i<=s;++i) {
        for(int j = 0;j<=s;++j) {
            dp[i][j] = max(dp[i][j], dp[i - 1][j]);
            int cnt = 1, siz = t[i].size(), val = 0;
            while(cnt <= siz && j - cnt*i >= 0) {
                val+=t[i].at(cnt - 1);
                dp[i][j] = max(dp[i][j], dp[i - 1][j - cnt*i] + val);
                ++cnt;
            }
            ans = max(ans, dp[i][j]);
        }
    }
    cout << ans << endl;
    return 0;
}
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