oj.uz

Submission #908591

# Submission time Handle Problem Language Result Execution time Memory
908591 2024-01-16T14:47:31 Z Tigerpants Uplifting Excursion (BOI22_vault) C++17
50 / 100
 1033 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 = 2 * 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 3 ms 3164 KB Output is correct
2 Correct 3 ms 3164 KB Output is correct
3 Correct 3 ms 3160 KB Output is correct
4 Correct 10 ms 3164 KB Output is correct
5 Runtime error 336 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 3 ms 3164 KB Output is correct
2 Correct 3 ms 3164 KB Output is correct
3 Correct 3 ms 3160 KB Output is correct
4 Correct 10 ms 3164 KB Output is correct
5 Runtime error 336 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 11 ms 3164 KB Output is correct
2 Correct 53 ms 3164 KB Output is correct
3 Correct 18 ms 3164 KB Output is correct
4 Correct 59 ms 3252 KB Output is correct
5 Correct 64 ms 3160 KB Output is correct
6 Correct 52 ms 3160 KB Output is correct
7 Correct 9 ms 3164 KB Output is correct
8 Correct 8 ms 3272 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 49 ms 3164 KB Output is correct

Subtask #3-2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 3164 KB Output is correct
2 Correct 53 ms 3164 KB Output is correct
3 Correct 18 ms 3164 KB Output is correct
4 Correct 59 ms 3252 KB Output is correct
5 Correct 64 ms 3160 KB Output is correct
6 Correct 52 ms 3160 KB Output is correct
7 Correct 9 ms 3164 KB Output is correct
8 Correct 8 ms 3272 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 49 ms 3164 KB Output is correct
11 Correct 4 ms 3164 KB Output is correct
12 Correct 3 ms 3060 KB Output is correct
13 Correct 3 ms 3268 KB Output is correct
14 Correct 10 ms 3276 KB Output is correct
15 Correct 54 ms 3160 KB Output is correct
16 Correct 18 ms 3160 KB Output is correct
17 Correct 60 ms 3252 KB Output is correct
18 Correct 64 ms 3256 KB Output is correct
19 Correct 53 ms 3164 KB Output is correct
20 Correct 8 ms 3164 KB Output is correct
21 Correct 9 ms 3164 KB Output is correct
22 Correct 26 ms 3164 KB Output is correct
23 Correct 39 ms 3160 KB Output is correct
24 Correct 55 ms 3160 KB Output is correct
25 Correct 21 ms 3160 KB Output is correct
26 Correct 65 ms 3164 KB Output is correct
27 Correct 51 ms 3160 KB Output is correct
28 Correct 52 ms 3256 KB Output is correct

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 3164 KB Output is correct
2 Correct 53 ms 3164 KB Output is correct
3 Correct 18 ms 3164 KB Output is correct
4 Correct 59 ms 3252 KB Output is correct
5 Correct 64 ms 3160 KB Output is correct
6 Correct 52 ms 3160 KB Output is correct
7 Correct 9 ms 3164 KB Output is correct
8 Correct 8 ms 3272 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 49 ms 3164 KB Output is correct
11 Correct 10 ms 3268 KB Output is correct
12 Correct 72 ms 3164 KB Output is correct
13 Correct 18 ms 3164 KB Output is correct
14 Correct 59 ms 3264 KB Output is correct
15 Correct 64 ms 3164 KB Output is correct
16 Correct 49 ms 3160 KB Output is correct
17 Correct 9 ms 3164 KB Output is correct
18 Correct 8 ms 3160 KB Output is correct
19 Correct 26 ms 3164 KB Output is correct
20 Correct 46 ms 3272 KB Output is correct
21 Correct 6 ms 3320 KB Output is correct
22 Correct 9 ms 3164 KB Output is correct
23 Correct 100 ms 3248 KB Output is correct
24 Correct 45 ms 3256 KB Output is correct
25 Correct 93 ms 3160 KB Output is correct
26 Correct 121 ms 3360 KB Output is correct
27 Correct 114 ms 3160 KB Output is correct
28 Correct 86 ms 3248 KB Output is correct

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3164 KB Output is correct
2 Correct 3 ms 3164 KB Output is correct
3 Correct 3 ms 3160 KB Output is correct
4 Correct 10 ms 3164 KB Output is correct
5 Runtime error 336 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 11 ms 3164 KB Output is correct
2 Correct 53 ms 3164 KB Output is correct
3 Correct 18 ms 3164 KB Output is correct
4 Correct 59 ms 3252 KB Output is correct
5 Correct 64 ms 3160 KB Output is correct
6 Correct 52 ms 3160 KB Output is correct
7 Correct 9 ms 3164 KB Output is correct
8 Correct 8 ms 3272 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 49 ms 3164 KB Output is correct
11 Correct 10 ms 3268 KB Output is correct
12 Correct 72 ms 3164 KB Output is correct
13 Correct 18 ms 3164 KB Output is correct
14 Correct 59 ms 3264 KB Output is correct
15 Correct 64 ms 3164 KB Output is correct
16 Correct 49 ms 3160 KB Output is correct
17 Correct 9 ms 3164 KB Output is correct
18 Correct 8 ms 3160 KB Output is correct
19 Correct 26 ms 3164 KB Output is correct
20 Correct 46 ms 3272 KB Output is correct
21 Correct 6 ms 3320 KB Output is correct
22 Correct 9 ms 3164 KB Output is correct
23 Correct 100 ms 3248 KB Output is correct
24 Correct 45 ms 3256 KB Output is correct
25 Correct 93 ms 3160 KB Output is correct
26 Correct 121 ms 3360 KB Output is correct
27 Correct 114 ms 3160 KB Output is correct
28 Correct 86 ms 3248 KB Output is correct
29 Correct 10 ms 3160 KB Output is correct
30 Correct 67 ms 3360 KB Output is correct
31 Correct 18 ms 3160 KB Output is correct
32 Correct 73 ms 3164 KB Output is correct
33 Correct 68 ms 3164 KB Output is correct
34 Correct 48 ms 3164 KB Output is correct
35 Correct 9 ms 3164 KB Output is correct
36 Correct 8 ms 3164 KB Output is correct
37 Correct 26 ms 3164 KB Output is correct
38 Correct 40 ms 3252 KB Output is correct
39 Correct 7 ms 3164 KB Output is correct
40 Correct 9 ms 3164 KB Output is correct
41 Correct 92 ms 3164 KB Output is correct
42 Correct 48 ms 3160 KB Output is correct
43 Correct 100 ms 3256 KB Output is correct
44 Correct 114 ms 3164 KB Output is correct
45 Correct 99 ms 3256 KB Output is correct
46 Correct 78 ms 3248 KB Output is correct
47 Correct 8 ms 3160 KB Output is correct
48 Correct 10 ms 3164 KB Output is correct
49 Correct 212 ms 3256 KB Output is correct
50 Correct 92 ms 3160 KB Output is correct
51 Correct 274 ms 3252 KB Output is correct
52 Correct 263 ms 3164 KB Output is correct
53 Correct 214 ms 3164 KB Output is correct
54 Correct 177 ms 3164 KB Output is correct

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3164 KB Output is correct
2 Correct 3 ms 3164 KB Output is correct
3 Correct 3 ms 3160 KB Output is correct
4 Correct 10 ms 3164 KB Output is correct
5 Runtime error 336 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 11 ms 3164 KB Output is correct
2 Correct 53 ms 3164 KB Output is correct
3 Correct 18 ms 3164 KB Output is correct
4 Correct 59 ms 3252 KB Output is correct
5 Correct 64 ms 3160 KB Output is correct
6 Correct 52 ms 3160 KB Output is correct
7 Correct 9 ms 3164 KB Output is correct
8 Correct 8 ms 3272 KB Output is correct
9 Correct 27 ms 3164 KB Output is correct
10 Correct 49 ms 3164 KB Output is correct
11 Correct 10 ms 3268 KB Output is correct
12 Correct 72 ms 3164 KB Output is correct
13 Correct 18 ms 3164 KB Output is correct
14 Correct 59 ms 3264 KB Output is correct
15 Correct 64 ms 3164 KB Output is correct
16 Correct 49 ms 3160 KB Output is correct
17 Correct 9 ms 3164 KB Output is correct
18 Correct 8 ms 3160 KB Output is correct
19 Correct 26 ms 3164 KB Output is correct
20 Correct 46 ms 3272 KB Output is correct
21 Correct 6 ms 3320 KB Output is correct
22 Correct 9 ms 3164 KB Output is correct
23 Correct 100 ms 3248 KB Output is correct
24 Correct 45 ms 3256 KB Output is correct
25 Correct 93 ms 3160 KB Output is correct
26 Correct 121 ms 3360 KB Output is correct
27 Correct 114 ms 3160 KB Output is correct
28 Correct 86 ms 3248 KB Output is correct
29 Correct 10 ms 3160 KB Output is correct
30 Correct 67 ms 3360 KB Output is correct
31 Correct 18 ms 3160 KB Output is correct
32 Correct 73 ms 3164 KB Output is correct
33 Correct 68 ms 3164 KB Output is correct
34 Correct 48 ms 3164 KB Output is correct
35 Correct 9 ms 3164 KB Output is correct
36 Correct 8 ms 3164 KB Output is correct
37 Correct 26 ms 3164 KB Output is correct
38 Correct 40 ms 3252 KB Output is correct
39 Correct 7 ms 3164 KB Output is correct
40 Correct 9 ms 3164 KB Output is correct
41 Correct 92 ms 3164 KB Output is correct
42 Correct 48 ms 3160 KB Output is correct
43 Correct 100 ms 3256 KB Output is correct
44 Correct 114 ms 3164 KB Output is correct
45 Correct 99 ms 3256 KB Output is correct
46 Correct 78 ms 3248 KB Output is correct
47 Correct 8 ms 3160 KB Output is correct
48 Correct 10 ms 3164 KB Output is correct
49 Correct 212 ms 3256 KB Output is correct
50 Correct 92 ms 3160 KB Output is correct
51 Correct 274 ms 3252 KB Output is correct
52 Correct 263 ms 3164 KB Output is correct
53 Correct 214 ms 3164 KB Output is correct
54 Correct 177 ms 3164 KB Output is correct
55 Correct 10 ms 3164 KB Output is correct
56 Correct 57 ms 3164 KB Output is correct
57 Correct 18 ms 3164 KB Output is correct
58 Correct 67 ms 3248 KB Output is correct
59 Correct 65 ms 3164 KB Output is correct
60 Correct 51 ms 3160 KB Output is correct
61 Correct 13 ms 3316 KB Output is correct
62 Correct 9 ms 3160 KB Output is correct
63 Correct 26 ms 3164 KB Output is correct
64 Correct 40 ms 3164 KB Output is correct
65 Correct 6 ms 3164 KB Output is correct
66 Correct 9 ms 3276 KB Output is correct
67 Correct 103 ms 3164 KB Output is correct
68 Correct 44 ms 3252 KB Output is correct
69 Correct 113 ms 3164 KB Output is correct
70 Correct 113 ms 3164 KB Output is correct
71 Correct 97 ms 3164 KB Output is correct
72 Correct 80 ms 3256 KB Output is correct
73 Correct 7 ms 3164 KB Output is correct
74 Correct 10 ms 3276 KB Output is correct
75 Correct 209 ms 3164 KB Output is correct
76 Correct 93 ms 3164 KB Output is correct
77 Correct 230 ms 3160 KB Output is correct
78 Correct 242 ms 3164 KB Output is correct
79 Correct 218 ms 3252 KB Output is correct
80 Correct 179 ms 3164 KB Output is correct
81 Correct 937 ms 3256 KB Output is correct
82 Correct 367 ms 3160 KB Output is correct
83 Correct 831 ms 3264 KB Output is correct
84 Correct 1033 ms 3260 KB Output is correct
85 Correct 12 ms 3164 KB Output is correct
86 Correct 14 ms 3160 KB Output is correct
87 Correct 746 ms 3164 KB Output is correct

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3164 KB Output is correct
2 Correct 3 ms 3164 KB Output is correct
3 Correct 3 ms 3160 KB Output is correct
4 Correct 10 ms 3164 KB Output is correct
5 Runtime error 336 ms 524288 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -