Submission #1340121

#TimeUsernameProblemLanguageResultExecution timeMemory
1340121hoangtien69Building 4 (JOI20_building4)C++20
100 / 100
163 ms25980 KiB
#include<bits/stdc++.h>
using namespace std;
const int MAXN = 1e6 + 5;
const int INF = 1e9 + 5;

int n;
int a[MAXN];
int b[MAXN];
int l[MAXN][2];
int r[MAXN][2];

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> n;
    for (int i = 1; i <= 2 * n; i++)
    {
        cin >> a[i];
    }
    for (int i = 1; i <= 2 * n; i++)
    {
        cin >> b[i];
    }
    a[0] = -INF;
    b[0] = -INF;
    for (int i = 1; i <= 2 * n; i++)
    {
        l[i][0] = l[i][1] = INF;
        r[i][0] = r[i][1] = -INF;
        if (a[i - 1] <= a[i])
        {
            l[i][0] = min(l[i][0], l[i - 1][0] + 1);
            r[i][0] = max(r[i][0], r[i - 1][0] + 1);
        }
        if (b[i - 1] <= a[i])
        {
            l[i][0] = min(l[i][0], l[i - 1][1] + 1);
            r[i][0] = max(r[i][0], r[i - 1][1] + 1);
        }
        if (b[i - 1] <= b[i])
        {
            l[i][1] = min(l[i][1], l[i - 1][1]);
            r[i][1] = max(r[i][1], r[i - 1][1]);
        }
        if (a[i - 1] <= b[i])
        {
            l[i][1] = min(l[i][1], l[i - 1][0]);
            r[i][1] = max(r[i][1], r[i - 1][0]);
        }
    }
    bool ok = false;
    if ((n >= l[2 * n][0] and n <= r[2 * n][0]) || (n >= l[2 * n][1] and n <= r[2 * n][1]))
    {
        ok = true;
    }
    if (ok == false)
    {
        cout << -1;
        return 0;
    }
    int last = INF;
    int cnt = n;
    int pos = 2 * n;
    vector<char> peal;
    while(pos > 0)
    {
        if (cnt > 0 && a[pos] <= last && cnt >= l[pos][0] && cnt <= r[pos][0])
        {
            peal.push_back('A');
            last = a[pos];
            cnt--;
        }
        else
        {
            peal.push_back('B');
            last = b[pos];
        }
        pos--;
    }
    reverse(peal.begin(), peal.end());
    for (char v : peal) cout << v;
}
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