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Submission #908577

# Submission time Handle Problem Language Result Execution time Memory
908577 2024-01-16T14:41:32 Z Tigerpants Uplifting Excursion (BOI22_vault) C++17
50 / 100
 454 ms 524288 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
#include <functional>
#include <set>
#include <map>

using namespace std;

typedef long long int ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef vector<vpll> vvpll;

#define rep(i, a, b) for (ll i = a; i < b; i++)
#define rev_rep(i, a, b) for (ll i = a; i >= b; i--)
#define sz(a) (ll) a.size()
#define mp(a, b) make_pair(a, b)
#define pb(a) push_back(a)
#define trav(itr, a, t) for (t::iterator itr = a.begin(); itr != a.end(); itr++)

const ll MAXM = 300LL;
const ll MAXB = MAXM * (MAXM + 1LL);
const ll INF = 1'000'000'000'000'000'000LL;

ll M, L;
vll A;
vll in_greedy;

vll reduce(ll x, ll multiplier = 1) {
    vll res;
    while (x) {
        //cout << "reduce " << x << " " << multiplier << endl;
        res.pb(multiplier);
        x--;
        if (x & 1) {
            res.pb(multiplier);
            x--;
        }
        x >>= 1;
        multiplier *= 2;
    }
    return res;
}

int main() {
    cin.tie(NULL)->sync_with_stdio(false);

    cin >> M >> L;
    A.resize(2 * M + 1);
    rep(i, 0, 2 * M + 1) cin >> A[i];

    ll s = 0LL;
    rep(i, -M, M + 1) {
        s += A[i + M] * i;
    }
    if (s < L) { // reverse the problem
        //cout << "reverse " << s << endl;
        rep(i, 1, M + 1) swap(A[M - i], A[M + i]);
        L *= -1;
    }

    // greedy
    in_greedy.resize(M + 1, 0);
    s = 0LL;
    ll n = 0LL;
    rep(i, -M, 1) {
        s += A[i + M] * i;
        n += A[i + M];
    }
    //cout << L << " " << s << " " << n << endl;
    rep(i, 1, M + 1) {
        in_greedy[i] = min<ll>((L - s) / i, A[i + M]);
        //cout << i << " -> " << in_greedy[i] << endl;
        s += in_greedy[i] * i;
        n += in_greedy[i];
    }
    //cout << "n=" << n << endl;

    // dp
    ll dp[2 * MAXB + 1];
    rep(i, 0, 2 * MAXB + 1) dp[i] = -INF;
    dp[MAXB + (L - s)] = n; // base case

    /* rep(i, -10, 11) {
        cout << dp[i + MAXB] << " ";
    }
    cout << endl; */

    rep(w, 1, M + 1) {
        // add w
        vll deltas = reduce(min<ll>(2 * M, A[w + M] - in_greedy[w]));
        /* cout << min<ll>(2 * M, A[w + M] - in_greedy[w]) << " -> {";
        trav(delta, deltas, vll) cout << (*delta) << " ";
        cout << "}" << endl; */
        trav(delta, deltas, vll) {
            rep(i, - MAXB, MAXB + 1 - (*delta) * w) {
                dp[i + MAXB] = max<ll>(dp[i + MAXB], dp[i + MAXB + (*delta) * w] + (*delta));
            }
        }

        // remove w
        deltas = reduce(min<ll>(2 * M, in_greedy[w]), -1);
        /* cout << min<ll>(2 * M, in_greedy[w]) << " -> {";
        trav(delta, deltas, vll) cout << (*delta) << " ";
        cout << "}" << endl; */
        trav(delta, deltas, vll) {
            rev_rep(i, MAXB, - MAXB - (*delta) * w) {
                //cout << (*delta) << " " << i + MAXB - (*delta) << " " << 2 * MAXB << endl;
                dp[i + MAXB] = max<ll>(dp[i + MAXB], dp[i + MAXB + (*delta) * w] + (*delta));
            }
        }

        /* rep(i, -10, 11) {
            cout << dp[i + MAXB] << " ";
        }
        cout << endl; */
    }

    if (dp[MAXB] < 0) {
        cout << "impossible" << endl;
    } else {
        cout << dp[MAXB] << endl;
    }

    return 0;
}

// the dp covers the range of uplifts [L - M - 2M^2, L + M + 2M^2]
// in each step, we consider adding up to min<ll>(2 * M, A[w + M] - in_greedy[w]) of weight w, or removng up to min<ll>(2 * M, in_greedy[w])

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1628 KB Output is correct
2 Correct 2 ms 1628 KB Output is correct
3 Correct 2 ms 1624 KB Output is correct
4 Correct 5 ms 1628 KB Output is correct
5 Runtime error 375 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1628 KB Output is correct
2 Correct 2 ms 1628 KB Output is correct
3 Correct 2 ms 1624 KB Output is correct
4 Correct 5 ms 1628 KB Output is correct
5 Runtime error 375 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #3-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1624 KB Output is correct
2 Correct 28 ms 1864 KB Output is correct
3 Correct 9 ms 1624 KB Output is correct
4 Correct 31 ms 1868 KB Output is correct
5 Correct 32 ms 1628 KB Output is correct
6 Correct 24 ms 1624 KB Output is correct
7 Correct 5 ms 1628 KB Output is correct
8 Correct 5 ms 1640 KB Output is correct
9 Correct 14 ms 1868 KB Output is correct
10 Correct 21 ms 1628 KB Output is correct

Subtask #3-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1624 KB Output is correct
2 Correct 28 ms 1864 KB Output is correct
3 Correct 9 ms 1624 KB Output is correct
4 Correct 31 ms 1868 KB Output is correct
5 Correct 32 ms 1628 KB Output is correct
6 Correct 24 ms 1624 KB Output is correct
7 Correct 5 ms 1628 KB Output is correct
8 Correct 5 ms 1640 KB Output is correct
9 Correct 14 ms 1868 KB Output is correct
10 Correct 21 ms 1628 KB Output is correct
11 Correct 3 ms 1856 KB Output is correct
12 Correct 2 ms 1628 KB Output is correct
13 Correct 2 ms 1628 KB Output is correct
14 Correct 6 ms 1628 KB Output is correct
15 Correct 27 ms 2120 KB Output is correct
16 Correct 10 ms 1628 KB Output is correct
17 Correct 29 ms 1628 KB Output is correct
18 Correct 33 ms 1628 KB Output is correct
19 Correct 25 ms 1628 KB Output is correct
20 Correct 5 ms 1628 KB Output is correct
21 Correct 4 ms 1628 KB Output is correct
22 Correct 13 ms 1868 KB Output is correct
23 Correct 20 ms 1624 KB Output is correct
24 Correct 27 ms 1624 KB Output is correct
25 Correct 11 ms 1628 KB Output is correct
26 Correct 33 ms 1628 KB Output is correct
27 Correct 25 ms 1628 KB Output is correct
28 Correct 27 ms 1628 KB Output is correct

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1624 KB Output is correct
2 Correct 28 ms 1864 KB Output is correct
3 Correct 9 ms 1624 KB Output is correct
4 Correct 31 ms 1868 KB Output is correct
5 Correct 32 ms 1628 KB Output is correct
6 Correct 24 ms 1624 KB Output is correct
7 Correct 5 ms 1628 KB Output is correct
8 Correct 5 ms 1640 KB Output is correct
9 Correct 14 ms 1868 KB Output is correct
10 Correct 21 ms 1628 KB Output is correct
11 Correct 5 ms 1624 KB Output is correct
12 Correct 28 ms 1628 KB Output is correct
13 Correct 9 ms 1628 KB Output is correct
14 Correct 29 ms 1628 KB Output is correct
15 Correct 33 ms 1628 KB Output is correct
16 Correct 24 ms 1628 KB Output is correct
17 Correct 5 ms 1628 KB Output is correct
18 Correct 6 ms 1884 KB Output is correct
19 Correct 14 ms 1864 KB Output is correct
20 Correct 20 ms 1864 KB Output is correct
21 Correct 3 ms 1628 KB Output is correct
22 Correct 5 ms 1628 KB Output is correct
23 Correct 52 ms 1840 KB Output is correct
24 Correct 23 ms 1624 KB Output is correct
25 Correct 46 ms 1628 KB Output is correct
26 Correct 62 ms 1628 KB Output is correct
27 Correct 51 ms 1840 KB Output is correct
28 Correct 39 ms 1624 KB Output is correct

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1628 KB Output is correct
2 Correct 2 ms 1628 KB Output is correct
3 Correct 2 ms 1624 KB Output is correct
4 Correct 5 ms 1628 KB Output is correct
5 Runtime error 375 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #5-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1624 KB Output is correct
2 Correct 28 ms 1864 KB Output is correct
3 Correct 9 ms 1624 KB Output is correct
4 Correct 31 ms 1868 KB Output is correct
5 Correct 32 ms 1628 KB Output is correct
6 Correct 24 ms 1624 KB Output is correct
7 Correct 5 ms 1628 KB Output is correct
8 Correct 5 ms 1640 KB Output is correct
9 Correct 14 ms 1868 KB Output is correct
10 Correct 21 ms 1628 KB Output is correct
11 Correct 5 ms 1624 KB Output is correct
12 Correct 28 ms 1628 KB Output is correct
13 Correct 9 ms 1628 KB Output is correct
14 Correct 29 ms 1628 KB Output is correct
15 Correct 33 ms 1628 KB Output is correct
16 Correct 24 ms 1628 KB Output is correct
17 Correct 5 ms 1628 KB Output is correct
18 Correct 6 ms 1884 KB Output is correct
19 Correct 14 ms 1864 KB Output is correct
20 Correct 20 ms 1864 KB Output is correct
21 Correct 3 ms 1628 KB Output is correct
22 Correct 5 ms 1628 KB Output is correct
23 Correct 52 ms 1840 KB Output is correct
24 Correct 23 ms 1624 KB Output is correct
25 Correct 46 ms 1628 KB Output is correct
26 Correct 62 ms 1628 KB Output is correct
27 Correct 51 ms 1840 KB Output is correct
28 Correct 39 ms 1624 KB Output is correct
29 Correct 5 ms 1628 KB Output is correct
30 Correct 28 ms 1864 KB Output is correct
31 Correct 9 ms 1868 KB Output is correct
32 Correct 32 ms 1628 KB Output is correct
33 Correct 32 ms 1628 KB Output is correct
34 Correct 25 ms 1628 KB Output is correct
35 Correct 5 ms 1624 KB Output is correct
36 Correct 4 ms 1628 KB Output is correct
37 Correct 13 ms 1868 KB Output is correct
38 Correct 20 ms 1864 KB Output is correct
39 Correct 3 ms 1624 KB Output is correct
40 Correct 4 ms 1628 KB Output is correct
41 Correct 47 ms 1628 KB Output is correct
42 Correct 22 ms 1860 KB Output is correct
43 Correct 48 ms 1840 KB Output is correct
44 Correct 58 ms 1624 KB Output is correct
45 Correct 50 ms 1628 KB Output is correct
46 Correct 39 ms 1624 KB Output is correct
47 Correct 4 ms 1624 KB Output is correct
48 Correct 5 ms 1624 KB Output is correct
49 Correct 104 ms 1844 KB Output is correct
50 Correct 46 ms 1624 KB Output is correct
51 Correct 114 ms 1848 KB Output is correct
52 Correct 120 ms 1624 KB Output is correct
53 Correct 108 ms 1628 KB Output is correct
54 Correct 97 ms 1848 KB Output is correct

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1628 KB Output is correct
2 Correct 2 ms 1628 KB Output is correct
3 Correct 2 ms 1624 KB Output is correct
4 Correct 5 ms 1628 KB Output is correct
5 Runtime error 375 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #6-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1624 KB Output is correct
2 Correct 28 ms 1864 KB Output is correct
3 Correct 9 ms 1624 KB Output is correct
4 Correct 31 ms 1868 KB Output is correct
5 Correct 32 ms 1628 KB Output is correct
6 Correct 24 ms 1624 KB Output is correct
7 Correct 5 ms 1628 KB Output is correct
8 Correct 5 ms 1640 KB Output is correct
9 Correct 14 ms 1868 KB Output is correct
10 Correct 21 ms 1628 KB Output is correct
11 Correct 5 ms 1624 KB Output is correct
12 Correct 28 ms 1628 KB Output is correct
13 Correct 9 ms 1628 KB Output is correct
14 Correct 29 ms 1628 KB Output is correct
15 Correct 33 ms 1628 KB Output is correct
16 Correct 24 ms 1628 KB Output is correct
17 Correct 5 ms 1628 KB Output is correct
18 Correct 6 ms 1884 KB Output is correct
19 Correct 14 ms 1864 KB Output is correct
20 Correct 20 ms 1864 KB Output is correct
21 Correct 3 ms 1628 KB Output is correct
22 Correct 5 ms 1628 KB Output is correct
23 Correct 52 ms 1840 KB Output is correct
24 Correct 23 ms 1624 KB Output is correct
25 Correct 46 ms 1628 KB Output is correct
26 Correct 62 ms 1628 KB Output is correct
27 Correct 51 ms 1840 KB Output is correct
28 Correct 39 ms 1624 KB Output is correct
29 Correct 5 ms 1628 KB Output is correct
30 Correct 28 ms 1864 KB Output is correct
31 Correct 9 ms 1868 KB Output is correct
32 Correct 32 ms 1628 KB Output is correct
33 Correct 32 ms 1628 KB Output is correct
34 Correct 25 ms 1628 KB Output is correct
35 Correct 5 ms 1624 KB Output is correct
36 Correct 4 ms 1628 KB Output is correct
37 Correct 13 ms 1868 KB Output is correct
38 Correct 20 ms 1864 KB Output is correct
39 Correct 3 ms 1624 KB Output is correct
40 Correct 4 ms 1628 KB Output is correct
41 Correct 47 ms 1628 KB Output is correct
42 Correct 22 ms 1860 KB Output is correct
43 Correct 48 ms 1840 KB Output is correct
44 Correct 58 ms 1624 KB Output is correct
45 Correct 50 ms 1628 KB Output is correct
46 Correct 39 ms 1624 KB Output is correct
47 Correct 4 ms 1624 KB Output is correct
48 Correct 5 ms 1624 KB Output is correct
49 Correct 104 ms 1844 KB Output is correct
50 Correct 46 ms 1624 KB Output is correct
51 Correct 114 ms 1848 KB Output is correct
52 Correct 120 ms 1624 KB Output is correct
53 Correct 108 ms 1628 KB Output is correct
54 Correct 97 ms 1848 KB Output is correct
55 Correct 5 ms 1628 KB Output is correct
56 Correct 28 ms 1860 KB Output is correct
57 Correct 9 ms 1628 KB Output is correct
58 Correct 30 ms 1872 KB Output is correct
59 Correct 34 ms 1868 KB Output is correct
60 Correct 24 ms 1624 KB Output is correct
61 Correct 5 ms 1628 KB Output is correct
62 Correct 4 ms 1628 KB Output is correct
63 Correct 14 ms 1860 KB Output is correct
64 Correct 20 ms 1628 KB Output is correct
65 Correct 3 ms 1624 KB Output is correct
66 Correct 4 ms 1624 KB Output is correct
67 Correct 50 ms 1628 KB Output is correct
68 Correct 23 ms 1628 KB Output is correct
69 Correct 47 ms 1864 KB Output is correct
70 Correct 58 ms 1624 KB Output is correct
71 Correct 49 ms 1840 KB Output is correct
72 Correct 40 ms 1628 KB Output is correct
73 Correct 4 ms 1628 KB Output is correct
74 Correct 5 ms 1868 KB Output is correct
75 Correct 107 ms 1844 KB Output is correct
76 Correct 47 ms 1624 KB Output is correct
77 Correct 120 ms 1876 KB Output is correct
78 Correct 118 ms 1848 KB Output is correct
79 Correct 107 ms 1848 KB Output is correct
80 Correct 90 ms 1628 KB Output is correct
81 Correct 430 ms 1876 KB Output is correct
82 Correct 183 ms 1624 KB Output is correct
83 Correct 430 ms 1852 KB Output is correct
84 Correct 454 ms 1848 KB Output is correct
85 Correct 6 ms 1628 KB Output is correct
86 Correct 6 ms 1628 KB Output is correct
87 Correct 370 ms 1624 KB Output is correct

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1628 KB Output is correct
2 Correct 2 ms 1628 KB Output is correct
3 Correct 2 ms 1624 KB Output is correct
4 Correct 5 ms 1628 KB Output is correct
5 Runtime error 375 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -