This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define FOR(i, a, b) for(ll i = a; i <= b; ++i)
#define FOR_NEG(i, a, b) for(ll i = a; i >= b; --i)
#define FOR_EACH(a, b) for(auto a : b)
ll solve_optimal(ll x, ll n, vector<ll>& weights, vector<ll>& values){
vector<ll> dp(x+1, 0);
FOR(i, 1, n) {
FOR_NEG(j, x, 1) {
ll if_notUse_ans = 0 + dp[j];
ll if_use_ans = 0;
if(j - weights[i-1] >= 0) { if_use_ans = values[i-1] + dp[j - weights[i-1]]; }
dp[j] = max(if_use_ans, if_notUse_ans);
}
}
return dp[x];
}
int main() {
// Inputs
ll s, n;
cin >> s >> n;
vector<array<ll, 2>> vk[s + 1];
FOR(i, 0, n-1) {
ll vi, wi, ki;
cin >> vi >> wi >> ki;
vk[wi].push_back({vi, ki});
}
//
// Pre-processing
vector<ll> weights;
vector<ll> values;
FOR(i, 1, s) {
sort(vk[i].rbegin(), vk[i].rend()); // Sort high->low value each weight;
for(auto [v, k] : vk[i]) {
int max_items_count = min(s / i, k);
FOR(j, 1, max_items_count) {
weights.push_back(i);
values.push_back(v);
}
}
}
ll answer;
answer = solve_optimal(s, weights.size(), weights, values);
cout << answer;
return 0;
}
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