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Submission #860619

# Submission time Handle Problem Language Result Execution time Memory
860619 2023-10-13T14:46:06 Z E869120 Uplifting Excursion (BOI22_vault) C++14
20 / 100
 2072 ms 80892 KB 
#include <bits/stdc++.h>
using namespace std;

vector<long long> SolveDP(long long N, long long LIM, vector<long long> List, vector<long long> Init) {
    vector<long long> dp(LIM + 1, -(1LL << 60));
    if (Init.size() == 0) dp[0] = 0;
    else {
        for (int i = 0; i < (int)Init.size(); i++) dp[i] = Init[i];
    }

    // DP Start
    for (int i = 0; i < N; i++) {
        vector<long long> ndp(LIM + 1, -(1LL << 60));
        long long kazu = i + 1;
        for (int j = 0; j < kazu; j++) {
            vector<pair<long long, long long>> maxi;
            int cur = 0;
            for (int k = j; k <= LIM; k += kazu) {
                long long val = dp[k] - (k / kazu);
                while (maxi.size() >= cur + 1) {
                    if (maxi[maxi.size() - 1].second <= val) maxi.pop_back();
                    else break;
                }
                maxi.push_back(make_pair(1LL * k, val));
                if (maxi[cur].second >= -(1LL << 59)) ndp[k] = maxi[cur].second + (k / kazu);
                while (cur < (int)maxi.size() && maxi[cur].first <= k - 1LL * kazu * List[i]) cur += 1;
            }
        }
        dp = ndp;
    }

    // Return
    return dp;
}

void Solve_Subtask3(long long M, long long L, vector<long long> A) {
    long long Baseln = (M + 1) * M * M / 2LL + 3LL * M * M;
    vector<long long> L1(M + 1, 0);
    vector<long long> L2(M + 1, 0);
    vector<long long> L3(M, 0);
    vector<long long> L4(M, 0);
    vector<long long> M1(M + 1, 0);
    vector<long long> M2(M + 1, 0);
    vector<pair<long long, long long>> Cand1; Cand1.push_back(make_pair(0, 0));
    vector<pair<long long, long long>> Cand2; Cand2.push_back(make_pair(0, 0));

    // Step 1. Set Up
    for (int i = 0; i <= M - 1; i++) {
        int idx = M - i;
        long long Threshold = M;
        L1[idx - 0] = A[i] - min(A[i], Threshold);
        L3[idx - 1] = min(A[i], Threshold);
    }
    for (int i = M + 1; i <= 2 * M; i++) {
        int idx = i - M;
        long long Threshold = M;
        L2[idx - 0] = A[i] - min(A[i], Threshold);
        L4[idx - 1] = min(A[i], Threshold);
    }

    // Step 2. Base DP
    vector<long long> dp1 = SolveDP(M, Baseln, L3, vector<long long>{});
    vector<long long> dp2 = vector<long long>(Baseln + 1, -(1LL << 60));
    for (int i = 0; i <= Baseln; i++) dp2[Baseln - i] = dp1[i];
    vector<long long> dp3 = SolveDP(M, Baseln * 2, L4, dp2);

    // Step 3. Get Theoritical Value
    long long a1 = 0;
    long long a2 = 0;
    for (int i = 1; i <= M; i++) a1 += 1LL * i * L1[i];
    for (int i = 1; i <= M; i++) a2 += 1LL * i * L2[i];
    if (a2 - a1 > L) a2 = a1 + L;
    else a1 = a2 - L;

    // Step 4. Get Candiates for L1
    if (a1 >= 0) {
        long long rem1 = a1;
        long long cnt1 = 0;
        for (int i = 1; i <= M; i++) {
            M1[i] = min(L1[i], rem1 / i);
            rem1 -= 1LL * i * M1[i];
            cnt1 += M1[i];
        }
        Cand1.push_back(make_pair(a1 - rem1, cnt1));
    }

    // Step 5. Get Candidates for L2
    if (a2 >= 0) {
        long long rem2 = a2;
        long long cnt2 = 0;
        for (int i = 1; i <= M; i++) {
            M2[i] = min(L2[i], rem2 / i);
            rem2 -= 1LL * i * M2[i];
            cnt2 += M2[i];
        }
        Cand2.push_back(make_pair(a2 - rem2, cnt2));
    }

    // Step 6. Brute Force
    long long Answer = -(1LL << 60);
    for (pair<long long, long long> v1 : Cand1) {
        for (pair<long long, long long> v2 : Cand2) {
            long long diff = L - (v2.first - v1.first);
            if (diff < -Baseln || diff > Baseln) continue;
            if (dp3[diff + Baseln] == -(1LL << 60)) continue;
            Answer = max(Answer, v1.second + v2.second + dp3[diff + Baseln]);
        }
    }

    // Step 7. Output
    if (Answer == -(1LL << 60)) cout << "impossible" << endl;
    else cout << Answer + A[M] << endl;
}

int main() {
    // Input
    long long M, L;
    cin >> M >> L;
    vector<long long> A(2 * M + 1, 0);
    for (int i = 0; i <= 2 * M; i++) cin >> A[i];

    // Execution
    Solve_Subtask3(M, L, A);
    return 0;
}

Compilation message

vault.cpp: In function 'std::vector<long long int> SolveDP(long long int, long long int, std::vector<long long int>, std::vector<long long int>)':
vault.cpp:20:36: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   20 |                 while (maxi.size() >= cur + 1) {
      |                        ~~~~~~~~~~~~^~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 124 ms 11592 KB Output is correct
6 Correct 124 ms 11564 KB Output is correct
7 Correct 131 ms 11312 KB Output is correct
8 Correct 126 ms 10828 KB Output is correct
9 Correct 125 ms 11564 KB Output is correct
10 Correct 133 ms 10800 KB Output is correct
11 Correct 133 ms 10816 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 124 ms 11592 KB Output is correct
6 Correct 124 ms 11564 KB Output is correct
7 Correct 131 ms 11312 KB Output is correct
8 Correct 126 ms 10828 KB Output is correct
9 Correct 125 ms 11564 KB Output is correct
10 Correct 133 ms 10800 KB Output is correct
11 Correct 133 ms 10816 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 125 ms 11312 KB Output is correct
17 Correct 127 ms 10544 KB Output is correct
18 Correct 131 ms 12332 KB Output is correct
19 Correct 126 ms 11572 KB Output is correct
20 Correct 125 ms 10560 KB Output is correct
21 Correct 135 ms 11568 KB Output is correct
22 Correct 133 ms 12072 KB Output is correct
23 Correct 1922 ms 80144 KB Output is correct
24 Correct 2033 ms 80328 KB Output is correct
25 Correct 1982 ms 79936 KB Output is correct
26 Correct 1990 ms 80196 KB Output is correct
27 Correct 1897 ms 80388 KB Output is correct
28 Correct 2072 ms 80892 KB Output is correct
29 Correct 2060 ms 80456 KB Output is correct

Subtask #3-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 18 ms 2904 KB Output is correct
3 Correct 21 ms 2884 KB Output is correct
4 Incorrect 19 ms 2884 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 18 ms 2904 KB Output is correct
3 Correct 21 ms 2884 KB Output is correct
4 Incorrect 19 ms 2884 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 18 ms 2904 KB Output is correct
3 Correct 21 ms 2884 KB Output is correct
4 Incorrect 19 ms 2884 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 124 ms 11592 KB Output is correct
6 Correct 124 ms 11564 KB Output is correct
7 Correct 131 ms 11312 KB Output is correct
8 Correct 126 ms 10828 KB Output is correct
9 Correct 125 ms 11564 KB Output is correct
10 Correct 133 ms 10800 KB Output is correct
11 Correct 133 ms 10816 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 18 ms 2904 KB Output is correct
14 Correct 21 ms 2884 KB Output is correct
15 Incorrect 19 ms 2884 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 18 ms 2904 KB Output is correct
3 Correct 21 ms 2884 KB Output is correct
4 Incorrect 19 ms 2884 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 124 ms 11592 KB Output is correct
6 Correct 124 ms 11564 KB Output is correct
7 Correct 131 ms 11312 KB Output is correct
8 Correct 126 ms 10828 KB Output is correct
9 Correct 125 ms 11564 KB Output is correct
10 Correct 133 ms 10800 KB Output is correct
11 Correct 133 ms 10816 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 125 ms 11312 KB Output is correct
17 Correct 127 ms 10544 KB Output is correct
18 Correct 131 ms 12332 KB Output is correct
19 Correct 126 ms 11572 KB Output is correct
20 Correct 125 ms 10560 KB Output is correct
21 Correct 135 ms 11568 KB Output is correct
22 Correct 133 ms 12072 KB Output is correct
23 Correct 1922 ms 80144 KB Output is correct
24 Correct 2033 ms 80328 KB Output is correct
25 Correct 1982 ms 79936 KB Output is correct
26 Correct 1990 ms 80196 KB Output is correct
27 Correct 1897 ms 80388 KB Output is correct
28 Correct 2072 ms 80892 KB Output is correct
29 Correct 2060 ms 80456 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 18 ms 2904 KB Output is correct
32 Correct 21 ms 2884 KB Output is correct
33 Incorrect 19 ms 2884 KB Output isn't correct
34 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 18 ms 2904 KB Output is correct
3 Correct 21 ms 2884 KB Output is correct
4 Incorrect 19 ms 2884 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 124 ms 11592 KB Output is correct
6 Correct 124 ms 11564 KB Output is correct
7 Correct 131 ms 11312 KB Output is correct
8 Correct 126 ms 10828 KB Output is correct
9 Correct 125 ms 11564 KB Output is correct
10 Correct 133 ms 10800 KB Output is correct
11 Correct 133 ms 10816 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 125 ms 11312 KB Output is correct
17 Correct 127 ms 10544 KB Output is correct
18 Correct 131 ms 12332 KB Output is correct
19 Correct 126 ms 11572 KB Output is correct
20 Correct 125 ms 10560 KB Output is correct
21 Correct 135 ms 11568 KB Output is correct
22 Correct 133 ms 12072 KB Output is correct
23 Correct 1922 ms 80144 KB Output is correct
24 Correct 2033 ms 80328 KB Output is correct
25 Correct 1982 ms 79936 KB Output is correct
26 Correct 1990 ms 80196 KB Output is correct
27 Correct 1897 ms 80388 KB Output is correct
28 Correct 2072 ms 80892 KB Output is correct
29 Correct 2060 ms 80456 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 18 ms 2904 KB Output is correct
32 Correct 21 ms 2884 KB Output is correct
33 Incorrect 19 ms 2884 KB Output isn't correct
34 Halted 0 ms 0 KB -