Submission #1040906

#	Time	Username	Problem	Language	Result	Execution time	Memory
1040906		StillOnQiCondensation	Knapsack (NOI18_knapsack)	C++14	73 / 100	118 ms	262144 KiB

knapsack

#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define all(x) (x).begin(), (x).end()
#define inf (ll)1000000007
#define llmax LLONG_MAX
#define pi 3.141592653589793238462643383279502884197169399
 
long long binpow(long long a, long long b) {
    long long res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a;
        a = a * a;
        b >>= 1;
    }
    return res;
}
ll ncr(int n, int r)
{
    if (n < r) return 0;
    long long p = 1, k = 1;
    if (n - r < r)
        r = n - r;
    if (r != 0) {
        while (r) {
            p *= n;
            k *= r;
            long long m = __gcd(p, k);
            p /= m;
            k /= m;
            n--;
            r--;
        }
    }
    else
        p = 1;
    return p;
}
 
vector <ll> vcreate(int n){
    vector <ll> v(n);
    for (int i = 0; i < n; i++)
    {
        cin>>v[i];
    }
    return v;
}

const int MOD=998244353;
int dx[4]{1, -1, 0, 0}, dy[4]{0, 0, 1, -1};
ll ModExp(ll x, ll n, ll m) {
	assert(n >= 0);
	x %= m;  // note: m * m must be less than 2^63 to avoid ll overflow
	ll res = 1;
	while (n > 0) {
		if (n % 2 == 1) { res = res * x % m; }
		x = x * x % m;
		n /= 2;
	}
	return res;
}


int main()
{
    
    
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    //freopen("snakes.in", "r", stdin);
    //freopen("snakes.out", "w", stdout); 

    /* ll T;
    cin>>T;
  
    for(ll oo=0; oo<T; oo++)
    {   
    } */
    
    int s{},n{};
    cin>>s>>n;
    vector<pair<ll,pair<ll,ll>>> v(n);
    for(int i{0}; i<n; i++)
    {
        cin>>v[i].first>>v[i].second.first>>v[i].second.second;
    }

    sort(all(v));
    reverse(all(v));

    vector<pair<ll,ll>> ac;
    map<ll,int> m;
    for(int i{0}; i<n; i++)
    {
        for(int j{0}; j<v[i].second.second; j++)
        {
            if(m[v[i].second.first]>s/v[i].second.first)break;

            ac.push_back({v[i].first,v[i].second.first});
            m[v[i].second.first]++;
        }
    }
   /*  for(auto u: ac)
    {
        cout<<u.first<<" "<<u.second<<endl;
    } */
    int k=ac.size();
    vector<vector<ll>> dp(k+1,vll(s+1,0));

    for(int i{0}; i<k; i++)
    {
        for(int j{0}; j<=s; j++)
        {
            dp[i+1][j]=max(dp[i+1][j],dp[i][j]);
            if(j>=ac[i].second)
            {
                dp[i+1][j]=max(dp[i+1][j],dp[i][j-ac[i].second]+ac[i].first);
            }
        }
    }
    ll ans{0};
    for(int i{0}; i<=s; i++)
    {
        ans=max(ans,dp[k][i]);
    }

    /* for(int i{0}; i<=ac.size(); i++)
    {
        for(int j{0}; j<=s; j++)
        {
            cout<<dp[i][j]<<" ";
        }
        cout<<endl;
    } */
    
    cout<<ans<<endl;
    

    
    
}
       



   
   
    
 

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27