Submission #331599

#	Time	Username	Problem	Language	Result	Execution time	Memory
331599		wind_reaper	Knapsack (NOI18_knapsack)	C++17	100 / 100	151 ms	10516 KiB

knapsack

// #define _GLIBCXX_DEBUG
// #pragma GCC optimize "trapv"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <chrono>

// #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
// pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")

using namespace std;
using namespace __gnu_pbds;
using namespace chrono;

#define pb push_back 
#define f first
#define s second
#define min3(a, b, c) min(min(a, b), c)
#define max3(a, b, c) max(max(a, b), c)
#define all(v) v.begin(), v.end()

typedef long long ll;
typedef double ld;
typedef long double lld;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;

template <class T> using ordered_set = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;

const int INF = 1e9;
// const ll INF = 1e18;
const ll mod = 1000000007;
// const ll mod = 998244353;

void solve(int tc){
	int s, n;
	cin >> s >> n;

	vvl val(s+1);

	for(int i = 0; i < n; i++){
		ll v, w, k;
		cin >> v >> w >> k;
		ll sum = 0; 
		ll m = 1; 
		while(true){
			sum += m;
			if(sum > k){sum -= m; break;}
			if(m*w <= s) val[m*w].pb(m*v); 
			else break;
			m *= 2;
		}

		if(sum < k && (k - sum)*w <= s)
			val[w*(k - sum)].pb(v*(k - sum)); 
	}	
	vector<pair<ll, int>> fin;
	for(int i = 1; i <= s; i++){
		sort(val[i].rbegin(), val[i].rend()); 
		for(int j = 0; j < min((int)val[i].size(), s/i); j++)
			fin.pb({val[i][j], i});
	}

	vl dp(s+1);

	for(int i = 0; i < fin.size(); i++){
		ll v = fin[i].f; 
		int w = fin[i].s;

		for(int W = s - w; W >= 0; --W)
			dp[W + w] = max(dp[W + w], dp[W] + v);
	}

	cout << *max_element(all(dp)) << '\n';
}

int main(){
	ios_base::sync_with_stdio(NULL);
	cin.tie(NULL);
	#ifdef LOCAL
		auto begin = high_resolution_clock::now();
	#endif

    int tc = 1;
    // cin >> tc; 
    for (int t = 0; t < tc; t++) solve(t);
    
    #ifdef LOCAL 
    	auto end = high_resolution_clock::now();
    	cout << fixed << setprecision(4) << "Execution Time: " << duration_cast<duration<double>>(end - begin).count() << "seconds" << endl;
    #endif
	return 0;
}

Compilation message (stderr)

knapsack.cpp: In function 'void solve(int)':
knapsack.cpp:73:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |  for(int i = 0; i < fin.size(); i++){
      |                 ~~^~~~~~~~~~~~

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