oj.uz

Submission #777847

# Submission time Handle Problem Language Result Execution time Memory
777847 2023-07-09T18:38:37 Z nirmalg Knapsack (NOI18_knapsack) C++14
100 / 100
 38 ms 4160 KB 
#include "bits/stdc++.h"
using namespace std;

// Template modified from https://usaco.guide/general/generic-code?lang=cpp#templates 

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

using ll = long long;
using vi = vector<int>;
using pii = pair<int, int>;
using vll = vector<ll>;
using vpii = vector<pii>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using vvpii = vector<vpii>;

#define Sum(v) (accumulate(v.begin(), v.end(), 0ll))
#define Sort(v) (sort(v.begin(), v.end()))


constexpr ll INF = 1e9;
constexpr int MOD = 998244353;

// #define IO(NAME) \
//     cin.tie(0)->sync_with_stdio(0); \
//     if(fopen(NAME ".in","r")) freopen(NAME ".in","r",stdin), \
//     freopen(NAME ".out","w",stdout);

template <typename T1, typename T2> // cin >> pair<T1, T2>
istream &operator>>(istream &istream, pair<T1, T2> &p)
{
    return (istream >> p.first >> p.second);
}
 
template <typename T> // cin >> vector<T>
istream &operator>>(istream &istream, vector<T> &v)
{
    for (auto &it : v)
        cin >> it;
    return istream;
}
 
template <typename T1, typename T2> // cout << pair<T1, T2>
ostream &operator<<(ostream &ostream, const pair<T1, T2> &p)
{
    return (ostream << p.first << " " << p.second);
}
template <typename T> // cout << vector<T>
ostream &operator<<(ostream &ostream, const vector<T> &c)
{
    for (auto &it : c)
        cout << it << " ";
    return ostream;
}


// bitwise ops
// j is 0 based indexing 
// __builtin_ctzll() for long long and __ builtin_popcount()
#define LSB(S) ((S) & -(S))


ll LCM(int a, int b)
{
    return ((ll)a * b) / __gcd(a, b);
}

bool nCr_Parity(int n, int r){
    int i = 0;
    while(i <= 30){ // for 32 bit integers
        int x = 1<<i;
        if((x&r) > (x&n)) return 0;
        ++i;
    }
    return 1; // 1 is odd 
}

ll solve(){
    int s, n;
    cin >> s >> n;
    vvpii mp(s + 1);
    for(int i = 0; i < n; ++i){
        int v, w, k;
        cin >> v >> w >> k;
        mp[w].emplace_back(v, min(k, s));
    }
    vll weights, value;
    for(int i = 1; i <= s; ++i){
        int curr = 0;
        sort(mp[i].rbegin(), mp[i].rend());
        for(auto [v, k] : mp[i]){
            if(curr > s) break;
            curr += k*i;
            int hi = log2(k);
            for(int j = 0; j < hi; j++){
                int pow2 = (1 << j);
                weights.push_back(i*pow2);
                value.push_back((ll)v*pow2);
            }
            k -= ((1 << hi) - 1);
            for(int j = 0; j < 12; ++j){
                int pow2 = (1 << j);
                if(k & pow2){
                    weights.push_back(i*pow2);
                    value.push_back((ll)v*pow2);
                }
            }
        }
    }
    vll dp(s + 1);
    int m = weights.size();
    for(int i = 0; i < m; ++i){
        for(int j = s; j >= weights[i]; --j){
            dp[j] = max(dp[j], dp[j - weights[i]] + value[i]);
        }
    }
    return dp[s];
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << setprecision(10) << fixed;
    // IO(""); 

    cout << solve() << '\n';
}
// when using printf, scanf for long long use %dll
// when using accumulate use 0ll if sum is long long

Compilation message

knapsack.cpp:27:1: warning: multi-line comment [-Wcomment]
   27 | // #define IO(NAME) \
      | ^
knapsack.cpp: In function 'll solve()':
knapsack.cpp:94:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   94 |         for(auto [v, k] : mp[i]){
      |                  ^

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 320 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 1 ms 340 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 320 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 30 ms 2356 KB Output is correct
36 Correct 27 ms 2508 KB Output is correct
37 Correct 30 ms 2380 KB Output is correct
38 Correct 26 ms 2764 KB Output is correct
39 Correct 27 ms 3380 KB Output is correct
40 Correct 31 ms 4160 KB Output is correct
41 Correct 36 ms 3156 KB Output is correct
42 Correct 38 ms 3156 KB Output is correct
43 Correct 31 ms 3092 KB Output is correct
44 Correct 34 ms 3088 KB Output is correct
45 Correct 25 ms 3664 KB Output is correct
46 Correct 21 ms 3164 KB Output is correct
47 Correct 32 ms 3792 KB Output is correct
48 Correct 36 ms 3836 KB Output is correct
49 Correct 27 ms 3368 KB Output is correct
50 Correct 24 ms 3292 KB Output is correct