Submission #937763

# Submission time Handle Problem Language Result Execution time Memory
937763 2024-03-04T12:42:40 Z borisAngelov Building 4 (JOI20_building4) C++17
100 / 100
215 ms 45464 KB
#include <bits/stdc++.h>

using namespace std;

const int maxn = 1000005;

int n;

int a[maxn];
int b[maxn];

pair<int, int> dpA[maxn];
pair<int, int> dpB[maxn];

void fastIO()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
}

int main()
{
    fastIO();

    cin >> n;

    for (int i = 1; i <= 2 * n; ++i)
    {
        cin >> a[i];
    }

    for (int i = 1; i <= 2 * n; ++i)
    {
        cin >> b[i];
    }

    dpA[1] = make_pair(1, 1);
    dpB[1] = make_pair(0, 0);

    for (int pos = 2; pos <= 2 * n; ++pos)
    {
        dpA[pos] = make_pair(-1, -1);
        dpB[pos] = make_pair(-1, -1);

        if (a[pos] >= a[pos - 1])
        {
            if (dpA[pos - 1] != make_pair(-1, -1))
            {
                dpA[pos].first = dpA[pos - 1].first + 1;
                dpA[pos].second = dpA[pos - 1].second + 1;
            }
        }

        if (a[pos] >= b[pos - 1] && dpB[pos - 1] != make_pair(-1, -1))
        {
            if (dpA[pos] == make_pair(-1, -1))
            {
                dpA[pos].first = dpB[pos - 1].first + 1;
                dpA[pos].second = dpB[pos - 1].second + 1;
            }
            else
            {
                dpA[pos].first = min(dpA[pos].first, dpB[pos - 1].first + 1);
                dpA[pos].second = max(dpA[pos].second, dpB[pos - 1].second + 1);
            }
        }

        if (b[pos] >= a[pos - 1])
        {
            if (dpA[pos - 1] != make_pair(-1, -1))
            {
                dpB[pos] = dpA[pos - 1];
            }
        }

        if (b[pos] >= b[pos - 1] && dpB[pos - 1] != make_pair(-1, -1))
        {
            if (dpB[pos] == make_pair(-1, -1))
            {
                dpB[pos] = dpB[pos - 1];
            }
            else
            {
                dpB[pos].first = min(dpB[pos].first, dpB[pos - 1].first);
                dpB[pos].second = max(dpB[pos].second, dpB[pos - 1].second);
            }
        }
    }

    int curr = -1;

    //cout << dpA[2 * n].first << " " << dpA[2 * n].second << endl;
    //cout << dpB[2 * n].first << " " << dpB[2 * n].second << endl;

    if (dpA[2 * n].first <= n && n <= dpA[2 * n].second)
    {
        curr = 0;
    }

    if (dpB[2 * n].first <= n && n <= dpB[2 * n].second)
    {
        curr = 1;
    }

    if (curr == -1)
    {
        //cout << "here" << endl;
        cout << -1 << endl;
        return 0;
    }

    stack<char> result;
    result.push(char(curr + 'A'));

    int bound = (curr == 0 ? n - 1 : n);

    for (int pos = 2 * n - 1; pos >= 1; --pos)
    {
        int prv = (curr == 0 ? a[pos + 1] : b[pos + 1]);
        curr = -1;

        if (bound > 0 && prv >= a[pos] && dpA[pos].first <= bound && bound <= dpA[pos].second)
        {
            curr = 0;
            --bound;
        }
        else if (prv >= b[pos] && dpB[pos].first <= bound && bound <= dpB[pos].second)
        {
            curr = 1;
        }

        if (curr == -1)
        {
            cout << -1 << endl;
            return 0;
        }

        result.push(char(curr + 'A'));
    }

    while (!result.empty())
    {
        cout << result.top();
        result.pop();
    }

    cout << endl;

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 2 ms 6616 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 2 ms 6492 KB Output is correct
11 Correct 2 ms 6492 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 2 ms 6612 KB Output is correct
14 Correct 2 ms 6620 KB Output is correct
15 Correct 2 ms 6520 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6488 KB Output is correct
19 Correct 2 ms 6492 KB Output is correct
20 Correct 2 ms 6492 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 2 ms 6488 KB Output is correct
23 Correct 2 ms 6488 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 2 ms 6492 KB Output is correct
31 Correct 2 ms 6492 KB Output is correct
32 Correct 2 ms 6624 KB Output is correct
33 Correct 1 ms 6488 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 2 ms 6616 KB Output is correct
9 Correct 2 ms 6488 KB Output is correct
10 Correct 2 ms 6492 KB Output is correct
11 Correct 2 ms 6492 KB Output is correct
12 Correct 2 ms 6492 KB Output is correct
13 Correct 2 ms 6612 KB Output is correct
14 Correct 2 ms 6620 KB Output is correct
15 Correct 2 ms 6520 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 2 ms 6488 KB Output is correct
19 Correct 2 ms 6492 KB Output is correct
20 Correct 2 ms 6492 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 2 ms 6488 KB Output is correct
23 Correct 2 ms 6488 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 1 ms 6492 KB Output is correct
26 Correct 1 ms 6492 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 2 ms 6492 KB Output is correct
31 Correct 2 ms 6492 KB Output is correct
32 Correct 2 ms 6624 KB Output is correct
33 Correct 1 ms 6488 KB Output is correct
34 Correct 164 ms 37832 KB Output is correct
35 Correct 180 ms 43336 KB Output is correct
36 Correct 211 ms 42840 KB Output is correct
37 Correct 184 ms 43484 KB Output is correct
38 Correct 212 ms 43348 KB Output is correct
39 Correct 172 ms 42524 KB Output is correct
40 Correct 202 ms 44800 KB Output is correct
41 Correct 175 ms 43120 KB Output is correct
42 Correct 182 ms 44252 KB Output is correct
43 Correct 215 ms 45284 KB Output is correct
44 Correct 191 ms 45216 KB Output is correct
45 Correct 192 ms 45124 KB Output is correct
46 Correct 182 ms 45228 KB Output is correct
47 Correct 194 ms 44336 KB Output is correct
48 Correct 172 ms 44180 KB Output is correct
49 Correct 174 ms 44884 KB Output is correct
50 Correct 189 ms 44340 KB Output is correct
51 Correct 196 ms 44344 KB Output is correct
52 Correct 135 ms 33516 KB Output is correct
53 Correct 132 ms 33360 KB Output is correct
54 Correct 124 ms 33432 KB Output is correct
55 Correct 123 ms 33112 KB Output is correct
56 Correct 176 ms 45464 KB Output is correct
57 Correct 154 ms 40272 KB Output is correct
58 Correct 151 ms 40276 KB Output is correct
59 Correct 152 ms 40532 KB Output is correct
60 Correct 147 ms 39464 KB Output is correct
61 Correct 154 ms 40784 KB Output is correct
62 Correct 153 ms 40448 KB Output is correct
63 Correct 172 ms 40788 KB Output is correct
64 Correct 151 ms 39984 KB Output is correct
65 Correct 156 ms 40896 KB Output is correct