# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
1203063 | Madhav_1608 | Knapsack (NOI18_knapsack) | C++17 | 1 ms | 328 KiB |
#include <iostream>
#include <stack>
#include <queue>
#include <string>
#include <algorithm>
#include <vector>
#include <map>
#include <set>
#include <climits>
#include <cmath>
#include <unordered_map>
#include <unordered_set>
#include <numeric>
#include <iomanip>
#include <cstring>
#include <stdio.h>
#include <assert.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<long long> vll;
typedef pair<ll,ll> pll;
#define double long double
const double eps = 1e-9;
#define FOR(i,a,b) for(long long i=a;i<b;i++)
#define all(v) v.begin(),v.end()
template <typename I>
void print(vector<I> &v){
FOR(i,0,v.size()){cout << v[i] << " ";}
cout << "\n";
}
ll gcd(ll a,ll b){
if(a==0){return b;}
else if(b==0){return a;}
else if(a<b){return gcd(b%a,a);}
else{return gcd(a%b,b);}
}
ll lcm(ll a,ll b){
return (a/gcd(a,b))*b;
}
void setIO(string name = "") {
freopen((name + ".in").c_str(), "r", stdin); // see /general/input-output
freopen((name + ".out").c_str(), "w", stdout);
}
void init_code(){
#ifndef ONLINE_JUDGE
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
}
void solve(){
// store very big numbers may mean log2
ll s,n;
cin >> s >> n;
vector<vll> price_weight_quant(n,vll(3));
FOR(i,0,n){
FOR(j,0,3) cin >> price_weight_quant[i][j];
}
vector<pair<double,ll>> ratio_index(n);
FOR(i,0,n){
ratio_index[i] = {(double)(price_weight_quant[i][0])/(double)(price_weight_quant[i][1]),i};
}
sort(ratio_index.begin(),ratio_index.end());
vll dp(s+1,0);
FOR(i,0,n){
vll curr = price_weight_quant[ratio_index[i].second];
// print(curr);
for(ll j=s;j>=0;j--){
ll maxi = min(j/curr[1],curr[2]);
dp[j] = max(dp[j],dp[j-(maxi*curr[1])]+(maxi*curr[0]));
}
}
cout << (*max_element(all(dp))) << "\n";
}
signed main(){
//setIO
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// init_code();
ll t=1;
// cin >> t;
while(t--){
solve();
}
return 0;
}
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