oj.uz

Submission #331599

# Submission time Handle Problem Language Result Execution time Memory
331599 2020-11-29T05:10:03 Z wind_reaper Knapsack (NOI18_knapsack) C++17
100 / 100
 151 ms 10516 KB 
// #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

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
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 2 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 2 ms 492 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 392 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 2 ms 492 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 392 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 31 ms 2412 KB Output is correct
36 Correct 151 ms 10516 KB Output is correct
37 Correct 36 ms 2536 KB Output is correct
38 Correct 35 ms 2964 KB Output is correct
39 Correct 43 ms 3420 KB Output is correct
40 Correct 64 ms 5228 KB Output is correct
41 Correct 58 ms 3308 KB Output is correct
42 Correct 55 ms 4352 KB Output is correct
43 Correct 57 ms 3948 KB Output is correct
44 Correct 54 ms 4204 KB Output is correct
45 Correct 52 ms 4608 KB Output is correct
46 Correct 33 ms 3424 KB Output is correct
47 Correct 57 ms 4972 KB Output is correct
48 Correct 58 ms 5100 KB Output is correct
49 Correct 35 ms 4588 KB Output is correct
50 Correct 108 ms 9452 KB Output is correct