| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1285475 | shine | Knapsack (NOI18_knapsack) | C++17 | 2 ms | 584 KiB |
//---------------------------------
#include <bits/stdc++.h>
using namespace std;
//---------------------------------
#ifdef DEBUG
#define debug(x) {cout<<"---> "<<#x<<" = "<<x<<endl;}
#else
#define debug(x)
#endif
//---------------------------------
#define faster ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
// #define int long long
#define ff first
#define ss second
#define endl "\n"
#define pii pair<int,int>
#define REP(a, c) for (int(a) = 0; (a) < (c); (a)++)
#define FOR(a, b, c) for (int(a) = (b); (a) <= (c); (a)++)
#define TIME (clock() * 1.0 / CLOCKS_PER_SEC)
#define tpl tuple<int,int,int>
#define ld long double
#define subtract(x) ((~(x)) ^ (1 << __builtin_ctz(x) + 1) - 1)
//---------------------------------
#define _task "text"
inline void _FILE() {
if(fopen(_task ".inp", "r")) {
freopen(_task ".inp", "r", stdin);
freopen(_task ".out", "w", stdout);
}
}
//---------------------------------
const int maxK = 1e3 + 5;
const int maxL = 1e4 + 5;
const int maxM = 1e5 + 5;
const int maxN = 1e6 + 5;
const int maxP = 1e7 + 5;
const long long inf = 1e18;
const int mod = 1e9 + 7;
//---------------------------------
int n, S, dp[2005];
struct th{
int v, w, k;
} a[maxN];
set<int, greater<int>> mp[2005];
vector<pii> p;
signed main()
{
faster
_FILE();
cin >> S >> n;
for(int i = 1; i <= n; i++){
cin >> a[i].v >> a[i].w >> a[i].k;
a[i].k = min(a[i].k, 2000);
int cnt = 1, currv = a[i].v, currw = a[i].w;
while(cnt <= a[i].k && currw <= S){
a[i].k -= cnt;
mp[currw].insert(currv);
currv *= 2, currw *= 2;
cnt *= 2;
}
if(a[i].k && a[i].k * a[i].w <= S){
mp[a[i].w * a[i].k].insert(a[i].v * a[i].k);
}
}
int cnt = 0;
for(int i = 0; i <= S; i++){
dp[i] = -mod * 2;
for(auto v : mp[i]){
cnt++;
p.push_back({v, i});
if(cnt * i > S) break;
}
}
dp[0] = 0;
for(auto v : p){
// cout << v.ff << ' ' << v.ss << endl;
for(int s = S; s >= v.ss; s--){
dp[s] = max(dp[s], dp[s - v.ss] + v.ff);
}
}
int ans = 0;
for(int i = 0; i <= S; i++){
ans = max(ans, dp[i]);
}
cout << ans;
#ifndef ONLINE_JUDEGE
cerr << "Time elapsed: " << clock() * 1.0 / CLOCKS_PER_SEC << "s.\n";
#endif
return 0;
}
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