| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 446377 | Bungmint | Knapsack (NOI18_knapsack) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3")
#pragma GCC target("sse4")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using pi = pair<int, int>;
using vpi = vector<pair<int, int>>;
using pl = pair<ll, ll>;
using vl = vector<ll>;
using vpl = vector<pl>;
using ld = long double;
#define all(v) (v).begin(), (v).end()
#define ar array
#define pb push_back
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define lb lower_bound
template <typename T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p)
{
return os << '(' << p.first << ", " << p.second << ')';
}
template <typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type>
ostream &operator<<(ostream &os, const T_container &v)
{
os << '{';
string sep;
for (const T &x : v)
os << sep << x, sep = ", ";
return os << '}';
}
void dbg_out()
{
cerr << endl;
}
template <typename Head, typename... Tail>
void dbg_out(Head H, Tail... T)
{
cerr << ' ' << H;
dbg_out(T...);
}
#ifdef LOCAL
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
struct custom_hash
{
static uint64_t splitmix64(uint64_t x)
{
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const
{
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
void setIO(string s)
{
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int INF = 1e9;
const ll LINF = 1e18;
const int MOD = 1e9 + 7; //998244353;
struct Product{
int v, w, k;
};
void solve()
{
int s, n;
cin >> s >> n;
vi dp(s+1, -1), nxt(s+1, -1);
vector<Product> a(n);
for (int i=0;i<n;++i) cin >> a[i].v >> a[i].w >> a[i].k;
dp[0] = 0;
for (int i=1;i<=n;++i){
Product p = a[i-1];
for (int j=0;j<p.w;++j){
stack<pi> m1, m2;
for (int k=0;k*p.w+j<=s;++k){
if (k>=p.k+1){
if (m1.empty()) {
while (!m2.empty()) {
int element = m2.top().first;
m2.pop();
int minimum = m1.empty() ? element : max(element, m1.top().second);
m1.push({element, minimum});
}
}
int remove_element = m1.top().first;
m1.pop();
}
nxt[j+k*p.w] = dp[j+k*p.w];
int x = -INF;
if (!m2.empty()&&!m1.empty()) x = max(m1.top().se, m2.top().se);
else if (!m1.empty()) x = max(x, m1.top().se);
else if (!m2.empty()) x = max(x, m2.top().se);
if (x!=-INF) nxt[j+k*p.w] = max(nxt[j+k*p.w], x+k*p.v), dbg(x, j+k*p.w, i, k*p.v);
if (dp[j+k*p.w]==-1) (m2.empty()? m2.push({-INF,-INF}):m2.push({-INF, m2.top().se}));
else (m2.empty()? m2.push({dp[j+k*p.w]-k*p.v, dp[j+k*p.w]-k*p.v}):m2.push({dp[j+k*p.w]-k*p.v, max(dp[j+k*p.w]-k*p.v, m2.top().se)}));
}
}
dbg(nxt);
dp = nxt;
}
int res = 0;
for (int i=0;i<=s;++i) res = max(res, dp[i]);
cout << res << endl;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int testcase=1;
// cin >> testcase;
while (testcase--)
{
solve();
}
}