Submission #517009

# Submission time Handle Problem Language Result Execution time Memory
517009 2022-01-22T11:08:45 Z DiTenix Knapsack (NOI18_knapsack) C++17
0 / 100
0 ms 332 KB
#define eb emplace_back
#define pb push_back
#define pii pair<int,int>
#define sz(x) int((x).size())
#define ALL(x) (x).begin(),(x).end()
#define ln cout << '\n'
#define REP(i, a) for (int i = 0; i < int(a); i++)
#define FOR(i, a) for (int i = 1; i <= int(a); i++)
#define MEM(a,b) memset((a),(b),sizeof(a))
const int INF = 0x3f3f3f3f, MOD = 1e9 + 7;
using namespace std;
#include <bits/stdc++.h>
using ll = long long;
using vi = vector<int>;
template<typename T> void rd(vector<T> &a) {for (auto &ele : a) cin >> ele;}
template<typename T> void writeln(vector<T> &a) {for (auto &ele : a) cout << ele << ' '; cout << "\n";}
#if __cplusplus > 201402L
template<typename... Args> void rd(Args&... args) {((cin >> args), ...);}
template<typename... Args> void write(Args... args) {((cout << args << " "), ...);}
template<typename... Args> void writeln(Args... args) {((cout << args << " "), ...); cout << "\n";}
#endif
const int maxn = 1e6 + 5;

ll v[maxn], w[maxn], k[maxn];
ll dp[2005];
struct item {
    int v, k;
};
vector<item> b[2005];
signed main()
{
/*#ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif*/
    cin.tie(0); cout.tie(0);
    ios::sync_with_stdio(false);
//    int t;cin >> t;while(t--) solve();
    int n, S;
    cin >> S >> n;
    FOR(i, n) {
        int v, w, k;
        rd(v, w, k);
        b[w].pb({v, k});
    }
    for (int i = 1; i <= S; ++i) {
        sort(ALL(b[i]), [](item & a, item & b) {
            return a.v > b.v;
        });
        vector<pii> can_take; // (weight, value)
        ll weight = 0, value = 0;
        // writeln("weight");
        for (auto [v, k] : b[i]) {
            for (int c = 0; c < k; ++c) {
                weight += i;
                value += v;
                if (weight >= S) break;
                can_take.eb(weight, value);
            }
            if (weight >= S) break;
            // writeln("item", weight, value);
        }
        if (!can_take.empty()) {

            for (int j = S; j >= 1; --j) {
                int l = -1, r = sz(can_take);
                while (l + 1 < r) {
                    int mid = (l + r) >> 1;
                    if (can_take[mid].first <= j) l = mid;
                    else r = mid;
                }
                if (l >= 0 && l < sz(can_take)) {
                    auto [w, v] = can_take[l];
                    dp[j] = max(dp[j], dp[j - w] + v);
                }
            }
        }
    }
    ll res = 0;
    for (int i = 0; i <= S; ++i) {
        res = max(res, dp[i]);
    }
    writeln(res);
    return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Incorrect 0 ms 332 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 332 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 332 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Incorrect 0 ms 332 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Incorrect 0 ms 332 KB Output isn't correct
5 Halted 0 ms 0 KB -