Submission #868792

# Submission time Handle Problem Language Result Execution time Memory
868792 2023-11-02T02:38:29 Z awu Building 4 (JOI20_building4) C++14
100 / 100
205 ms 68884 KB
#include <bits/extc++.h>
using namespace __gnu_pbds;
using namespace std;

#define int long long
#define ll long long
// #define double long double
#define all(x) x.begin(), x.end()
#define debug(x) do{auto _x = x; cerr << #x << " = " << _x << endl;} while(0)
#define f first
#define s second
using pii = pair<int, int>;
// #define endl '\n'

const ll inf = 1ll << 60;

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n; cin >> n; n *= 2;
  vector<int> a(n), b(n);
  for(int i = 0; i < n; i++) {
    cin >> a[i];
  }
  for(int i = 0; i < n; i++) {
    cin >> b[i];
  }
  vector<pair<pii, pii>> dp(n, {{-1, -1}, {-1, -1}});
  dp[n - 1] = {{1, 1}, {0, 0}};
  auto merge = [&](pii a, pii b) {
    if(min(a, b) == pii{-1, -1}) return max(a, b);
    return pii{min(a.f, b.f), max(a.s, b.s)};
  };
  for(int i = n - 2; i >= 0; i--) {
    if(a[i] <= a[i + 1]) {
      dp[i].f = merge(dp[i].f, dp[i + 1].f);
    }
    if(a[i] <= b[i + 1]) {
      dp[i].f = merge(dp[i].f, dp[i + 1].s);
    }
    if(dp[i].f != pii{-1, -1}) {
      dp[i].f.f++;
      dp[i].f.s++;
    }
    if(b[i] <= a[i + 1]) {
      dp[i].s = merge(dp[i].s, dp[i + 1].f);
    }
    if(b[i] <= b[i + 1]) {
      dp[i].s = merge(dp[i].s, dp[i + 1].s);
    }
    // cout << i << " " << dp[i].f.f << " " << dp[i].f.s << " " << dp[i].s.f << " " << dp[i].s.s << endl;
  }
  int rem = n / 2;
  int last = -1;
  string ans;
  auto die = [&]() {
    cout << -1 << endl;
    exit(0);
  };
  for(int i = 0; i < n; i++) {
    if(last <= a[i] && dp[i].f.f <= rem && rem <= dp[i].f.s) {
      ans += "A";
      last = a[i];
      rem--;
    } else if(last <= b[i] && dp[i].s != pii{-1, -1}) {
      ans += "B";
      last = b[i];
    } else {
      die();
    }
  }
  if(count(all(ans), 'A') != n / 2) die();
  cout << ans << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 564 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 564 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 560 KB Output is correct
34 Correct 188 ms 65528 KB Output is correct
35 Correct 168 ms 63776 KB Output is correct
36 Correct 165 ms 62652 KB Output is correct
37 Correct 184 ms 64088 KB Output is correct
38 Correct 167 ms 63964 KB Output is correct
39 Correct 163 ms 63252 KB Output is correct
40 Correct 176 ms 68220 KB Output is correct
41 Correct 157 ms 64780 KB Output is correct
42 Correct 184 ms 66472 KB Output is correct
43 Correct 188 ms 68636 KB Output is correct
44 Correct 205 ms 68820 KB Output is correct
45 Correct 183 ms 68776 KB Output is correct
46 Correct 184 ms 68692 KB Output is correct
47 Correct 172 ms 67912 KB Output is correct
48 Correct 192 ms 67540 KB Output is correct
49 Correct 179 ms 68564 KB Output is correct
50 Correct 178 ms 67808 KB Output is correct
51 Correct 178 ms 67912 KB Output is correct
52 Correct 133 ms 56932 KB Output is correct
53 Correct 127 ms 57052 KB Output is correct
54 Correct 139 ms 56908 KB Output is correct
55 Correct 125 ms 56648 KB Output is correct
56 Correct 179 ms 68884 KB Output is correct
57 Correct 155 ms 63612 KB Output is correct
58 Correct 152 ms 64080 KB Output is correct
59 Correct 185 ms 63952 KB Output is correct
60 Correct 151 ms 60432 KB Output is correct
61 Correct 153 ms 64328 KB Output is correct
62 Correct 150 ms 63596 KB Output is correct
63 Correct 160 ms 64328 KB Output is correct
64 Correct 148 ms 62336 KB Output is correct
65 Correct 155 ms 64464 KB Output is correct