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Submission #857724

# Submission time Handle Problem Language Result Execution time Memory
857724 2023-10-06T17:06:54 Z vgtcross Uplifting Excursion (BOI22_vault) C++17
20 / 100
 3801 ms 9812 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using pii = pair<int, int>;

const int N = 1100000;
int dp[N], nx[N];
ll dp2[N], nx2[N];

void solve() {
    int m;
    ll x;
    cin >> m >> x;
    vector<ll> a(2*m+1);
    ll maxa = 0;
    for (ll &i : a) {
        cin >> i;
        maxa = max(maxa, i);
    }
    
    if (maxa <= 100) {
        ll mins = 0, maxs = 0;
        vector<pii> v;
        for (int i = -m; i <= m; ++i) {
            int f = a[i+m];
            
            if (i < 0) mins += f * i;
            else maxs += f * i;
            
            int z = 1;
            while (f > z) {
                v.push_back({z * i, z});
                f -= z;
                z *= 2;
            }
            if (f > 0) v.push_back({f * i, f});
        }
        
        memset(dp, 0xc0, sizeof dp);
        memset(nx, 0xc0, sizeof nx);
        dp[0] = nx[0] = 0;
        for (pii p : v) {
            for (int i = -550000; i <= 550000; ++i) {
                int j = i + p.first;
                if (-550000 <= j && j <= 550000) nx[(j + N) % N] = max(nx[(j + N) % N], dp[(i + N) % N] + p.second);
            }
            copy(nx, nx+N, dp);
        }
        
        if (x < mins || x > maxs) cout << "impossible\n";
        else cout << (dp[(x + N) % N] < 0 ? "impossible" : to_string(dp[(x + N) % N])) << '\n';
    } else {
        ll maxs = 0;
        vector<pii> v;
        for (int i = 1; i <= m; ++i) {
            ll f = a[i+m];
            
            maxs += f * i;
            
            f = min(f, (ll) m-1);
            
            int z = 1;
            while (f > z) {
                v.push_back({z * i, z});
                f -= z;
                z *= 2;
            }
            if (f > 0) v.push_back({f * i, f});
        }
        
        ll ans = -1;
        ll ofs = 0;
        for (int k = 1; k <= m; ++k) {
            memset(dp2, 0xc0, 77000 * sizeof(ll));
            memset(nx2, 0xc0, 77000 * sizeof(ll));
            dp2[0] = nx2[0] = 0;
            for (pii p : v) {
                for (int i = 0; i <= 70000; ++i) {
                    int j = i + p.first;
                    if (j <= 70000) nx2[j] = max(nx2[j], dp2[i] + p.second);
                }
                copy(nx2, nx2+77000, dp2);
            }
            
            for (int i = 0; i <= 70000; ++i) {
                if (i + ofs > x) break;
                if ((x - i - ofs) % k == 0) ans = max(ans, dp[i] + (x - i - ofs) / k);
            }
            
            ofs += max(0ll, a[k+m] - m + 1) * k;
        }
        
        cout << (ans == -1 ? "impossible" : to_string(ans + a[m])) << '\n';
    }
}

int main() {
    cin.tie(0) -> sync_with_stdio(0);
    
    solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9560 KB Output is correct
2 Correct 20 ms 9560 KB Output is correct
3 Correct 10 ms 9560 KB Output is correct
4 Correct 82 ms 9564 KB Output is correct
5 Correct 1295 ms 9676 KB Output is correct
6 Correct 1311 ms 9680 KB Output is correct
7 Correct 568 ms 9680 KB Output is correct
8 Correct 1310 ms 9680 KB Output is correct
9 Correct 1608 ms 9688 KB Output is correct
10 Correct 55 ms 9560 KB Output is correct
11 Correct 47 ms 9668 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9560 KB Output is correct
2 Correct 20 ms 9560 KB Output is correct
3 Correct 10 ms 9560 KB Output is correct
4 Correct 82 ms 9564 KB Output is correct
5 Correct 1295 ms 9676 KB Output is correct
6 Correct 1311 ms 9680 KB Output is correct
7 Correct 568 ms 9680 KB Output is correct
8 Correct 1310 ms 9680 KB Output is correct
9 Correct 1608 ms 9688 KB Output is correct
10 Correct 55 ms 9560 KB Output is correct
11 Correct 47 ms 9668 KB Output is correct
12 Correct 25 ms 9564 KB Output is correct
13 Correct 20 ms 9560 KB Output is correct
14 Correct 10 ms 9564 KB Output is correct
15 Correct 81 ms 9672 KB Output is correct
16 Correct 1308 ms 9680 KB Output is correct
17 Correct 1357 ms 9680 KB Output is correct
18 Correct 548 ms 9812 KB Output is correct
19 Correct 1375 ms 9676 KB Output is correct
20 Correct 1659 ms 9692 KB Output is correct
21 Correct 47 ms 9560 KB Output is correct
22 Correct 51 ms 9672 KB Output is correct
23 Correct 3139 ms 9708 KB Output is correct
24 Correct 3115 ms 9704 KB Output is correct
25 Correct 1166 ms 9564 KB Output is correct
26 Correct 3779 ms 9700 KB Output is correct
27 Correct 3801 ms 9708 KB Output is correct
28 Correct 54 ms 9564 KB Output is correct
29 Correct 75 ms 9808 KB Output is correct

Subtask #3-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 9668 KB Output is correct
2 Incorrect 333 ms 4700 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 9668 KB Output is correct
2 Incorrect 333 ms 4700 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 9668 KB Output is correct
2 Incorrect 333 ms 4700 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9560 KB Output is correct
2 Correct 20 ms 9560 KB Output is correct
3 Correct 10 ms 9560 KB Output is correct
4 Correct 82 ms 9564 KB Output is correct
5 Correct 1295 ms 9676 KB Output is correct
6 Correct 1311 ms 9680 KB Output is correct
7 Correct 568 ms 9680 KB Output is correct
8 Correct 1310 ms 9680 KB Output is correct
9 Correct 1608 ms 9688 KB Output is correct
10 Correct 55 ms 9560 KB Output is correct
11 Correct 47 ms 9668 KB Output is correct
12 Correct 81 ms 9668 KB Output is correct
13 Incorrect 333 ms 4700 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 9668 KB Output is correct
2 Incorrect 333 ms 4700 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9560 KB Output is correct
2 Correct 20 ms 9560 KB Output is correct
3 Correct 10 ms 9560 KB Output is correct
4 Correct 82 ms 9564 KB Output is correct
5 Correct 1295 ms 9676 KB Output is correct
6 Correct 1311 ms 9680 KB Output is correct
7 Correct 568 ms 9680 KB Output is correct
8 Correct 1310 ms 9680 KB Output is correct
9 Correct 1608 ms 9688 KB Output is correct
10 Correct 55 ms 9560 KB Output is correct
11 Correct 47 ms 9668 KB Output is correct
12 Correct 25 ms 9564 KB Output is correct
13 Correct 20 ms 9560 KB Output is correct
14 Correct 10 ms 9564 KB Output is correct
15 Correct 81 ms 9672 KB Output is correct
16 Correct 1308 ms 9680 KB Output is correct
17 Correct 1357 ms 9680 KB Output is correct
18 Correct 548 ms 9812 KB Output is correct
19 Correct 1375 ms 9676 KB Output is correct
20 Correct 1659 ms 9692 KB Output is correct
21 Correct 47 ms 9560 KB Output is correct
22 Correct 51 ms 9672 KB Output is correct
23 Correct 3139 ms 9708 KB Output is correct
24 Correct 3115 ms 9704 KB Output is correct
25 Correct 1166 ms 9564 KB Output is correct
26 Correct 3779 ms 9700 KB Output is correct
27 Correct 3801 ms 9708 KB Output is correct
28 Correct 54 ms 9564 KB Output is correct
29 Correct 75 ms 9808 KB Output is correct
30 Correct 81 ms 9668 KB Output is correct
31 Incorrect 333 ms 4700 KB Output isn't correct
32 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 9668 KB Output is correct
2 Incorrect 333 ms 4700 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9560 KB Output is correct
2 Correct 20 ms 9560 KB Output is correct
3 Correct 10 ms 9560 KB Output is correct
4 Correct 82 ms 9564 KB Output is correct
5 Correct 1295 ms 9676 KB Output is correct
6 Correct 1311 ms 9680 KB Output is correct
7 Correct 568 ms 9680 KB Output is correct
8 Correct 1310 ms 9680 KB Output is correct
9 Correct 1608 ms 9688 KB Output is correct
10 Correct 55 ms 9560 KB Output is correct
11 Correct 47 ms 9668 KB Output is correct
12 Correct 25 ms 9564 KB Output is correct
13 Correct 20 ms 9560 KB Output is correct
14 Correct 10 ms 9564 KB Output is correct
15 Correct 81 ms 9672 KB Output is correct
16 Correct 1308 ms 9680 KB Output is correct
17 Correct 1357 ms 9680 KB Output is correct
18 Correct 548 ms 9812 KB Output is correct
19 Correct 1375 ms 9676 KB Output is correct
20 Correct 1659 ms 9692 KB Output is correct
21 Correct 47 ms 9560 KB Output is correct
22 Correct 51 ms 9672 KB Output is correct
23 Correct 3139 ms 9708 KB Output is correct
24 Correct 3115 ms 9704 KB Output is correct
25 Correct 1166 ms 9564 KB Output is correct
26 Correct 3779 ms 9700 KB Output is correct
27 Correct 3801 ms 9708 KB Output is correct
28 Correct 54 ms 9564 KB Output is correct
29 Correct 75 ms 9808 KB Output is correct
30 Correct 81 ms 9668 KB Output is correct
31 Incorrect 333 ms 4700 KB Output isn't correct
32 Halted 0 ms 0 KB -