#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pii pair<int, int>
#define pll pair<ll, ll>
int n;
const int maxn = 1000010;
int a[maxn];
int b[maxn];
pii rg[maxn][2];
int res[maxn]; //0 for A, 1 for B
pii urange(pii u, pii v) {
if (u.first == -1) return v;
if (v.first == -1) return u;
return {min(u.first, v.first), max(u.second, v.second)};
}
bool isin(int val, pii br) {
return val >= br.first && val <= br.second;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for (int i = 1; i <= 2*n; i++) {
cin >> a[i];
}
for (int i = 1; i <= 2*n; i++) {
cin >> b[i];
}
// set A initial values to be 1 of each
rg[1][0] = {1, 1};
rg[1][1] = {0, 0};
for (int i = 2; i <= 2*n; i++) {
rg[i][0] = {-1, -1};
rg[i][1] = {-1, -1};
if (a[i-1] <= a[i]) {
rg[i][0] = urange(rg[i][0], rg[i-1][0]);
}
if (b[i-1] <= a[i]) {
rg[i][0] = urange(rg[i][0], rg[i-1][1]);
}
if (a[i-1] <= b[i]) {
rg[i][1] = urange(rg[i][1], rg[i-1][0]);
}
if (b[i-1] <= b[i]) {
rg[i][1] = urange(rg[i][1], rg[i-1][1]);
}
if (rg[i][0].first != -1) {
rg[i][0] = {rg[i][0].first+1, rg[i][0].second+1};
}
// cout << i << " : " << rg[i][0].first << " " << rg[i][0].second
// << " -- " << rg[i][1].first << " " << rg[i][1].second << endl;
}
int indo = -1;
if (isin(n, rg[2*n][0])) indo = 0;
if (isin(n, rg[2*n][1])) indo = 1;
res[2*n] = indo;
if (indo == -1) {
cout << -1 << endl;
return 0;
}
int ctarg = n;
for (int i = 2*n-1; i >= 1; i--) {
if (indo == 0) ctarg--;
int nindo = -1;
int cval = a[i+1];
if (indo == 1) cval = b[i+1];
if (isin(ctarg, rg[i][0]) && a[i] <= cval) {
nindo = 0;
}
else nindo = 1;
indo = nindo;
res[i] = indo;
}
for (int i = 1; i <= 2*n; i++) {
if (res[i] == 0) cout << "A";
else cout << "B";
}
cout << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
384 KB |
Output is correct |
| 2 |
Correct |
1 ms |
384 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
0 ms |
384 KB |
Output is correct |
| 5 |
Correct |
2 ms |
512 KB |
Output is correct |
| 6 |
Correct |
2 ms |
512 KB |
Output is correct |
| 7 |
Correct |
1 ms |
512 KB |
Output is correct |
| 8 |
Correct |
2 ms |
512 KB |
Output is correct |
| 9 |
Correct |
2 ms |
512 KB |
Output is correct |
| 10 |
Correct |
2 ms |
512 KB |
Output is correct |
| 11 |
Correct |
2 ms |
512 KB |
Output is correct |
| 12 |
Correct |
2 ms |
640 KB |
Output is correct |
| 13 |
Correct |
2 ms |
512 KB |
Output is correct |
| 14 |
Correct |
2 ms |
512 KB |
Output is correct |
| 15 |
Correct |
2 ms |
512 KB |
Output is correct |
| 16 |
Correct |
1 ms |
512 KB |
Output is correct |
| 17 |
Correct |
2 ms |
512 KB |
Output is correct |
| 18 |
Correct |
2 ms |
512 KB |
Output is correct |
| 19 |
Correct |
2 ms |
512 KB |
Output is correct |
| 20 |
Correct |
2 ms |
512 KB |
Output is correct |
| 21 |
Correct |
2 ms |
512 KB |
Output is correct |
| 22 |
Correct |
1 ms |
512 KB |
Output is correct |
| 23 |
Correct |
1 ms |
512 KB |
Output is correct |
| 24 |
Correct |
2 ms |
512 KB |
Output is correct |
| 25 |
Correct |
2 ms |
512 KB |
Output is correct |
| 26 |
Correct |
1 ms |
512 KB |
Output is correct |
| 27 |
Correct |
1 ms |
512 KB |
Output is correct |
| 28 |
Correct |
1 ms |
512 KB |
Output is correct |
| 29 |
Correct |
1 ms |
512 KB |
Output is correct |
| 30 |
Correct |
1 ms |
512 KB |
Output is correct |
| 31 |
Correct |
1 ms |
512 KB |
Output is correct |
| 32 |
Correct |
1 ms |
512 KB |
Output is correct |
| 33 |
Correct |
1 ms |
512 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
384 KB |
Output is correct |
| 2 |
Correct |
1 ms |
384 KB |
Output is correct |
| 3 |
Correct |
1 ms |
384 KB |
Output is correct |
| 4 |
Correct |
0 ms |
384 KB |
Output is correct |
| 5 |
Correct |
2 ms |
512 KB |
Output is correct |
| 6 |
Correct |
2 ms |
512 KB |
Output is correct |
| 7 |
Correct |
1 ms |
512 KB |
Output is correct |
| 8 |
Correct |
2 ms |
512 KB |
Output is correct |
| 9 |
Correct |
2 ms |
512 KB |
Output is correct |
| 10 |
Correct |
2 ms |
512 KB |
Output is correct |
| 11 |
Correct |
2 ms |
512 KB |
Output is correct |
| 12 |
Correct |
2 ms |
640 KB |
Output is correct |
| 13 |
Correct |
2 ms |
512 KB |
Output is correct |
| 14 |
Correct |
2 ms |
512 KB |
Output is correct |
| 15 |
Correct |
2 ms |
512 KB |
Output is correct |
| 16 |
Correct |
1 ms |
512 KB |
Output is correct |
| 17 |
Correct |
2 ms |
512 KB |
Output is correct |
| 18 |
Correct |
2 ms |
512 KB |
Output is correct |
| 19 |
Correct |
2 ms |
512 KB |
Output is correct |
| 20 |
Correct |
2 ms |
512 KB |
Output is correct |
| 21 |
Correct |
2 ms |
512 KB |
Output is correct |
| 22 |
Correct |
1 ms |
512 KB |
Output is correct |
| 23 |
Correct |
1 ms |
512 KB |
Output is correct |
| 24 |
Correct |
2 ms |
512 KB |
Output is correct |
| 25 |
Correct |
2 ms |
512 KB |
Output is correct |
| 26 |
Correct |
1 ms |
512 KB |
Output is correct |
| 27 |
Correct |
1 ms |
512 KB |
Output is correct |
| 28 |
Correct |
1 ms |
512 KB |
Output is correct |
| 29 |
Correct |
1 ms |
512 KB |
Output is correct |
| 30 |
Correct |
1 ms |
512 KB |
Output is correct |
| 31 |
Correct |
1 ms |
512 KB |
Output is correct |
| 32 |
Correct |
1 ms |
512 KB |
Output is correct |
| 33 |
Correct |
1 ms |
512 KB |
Output is correct |
| 34 |
Correct |
255 ms |
42460 KB |
Output is correct |
| 35 |
Correct |
281 ms |
44664 KB |
Output is correct |
| 36 |
Correct |
296 ms |
43896 KB |
Output is correct |
| 37 |
Correct |
292 ms |
44796 KB |
Output is correct |
| 38 |
Correct |
264 ms |
44828 KB |
Output is correct |
| 39 |
Correct |
293 ms |
44068 KB |
Output is correct |
| 40 |
Correct |
287 ms |
47676 KB |
Output is correct |
| 41 |
Correct |
267 ms |
45176 KB |
Output is correct |
| 42 |
Correct |
299 ms |
46564 KB |
Output is correct |
| 43 |
Correct |
309 ms |
48140 KB |
Output is correct |
| 44 |
Correct |
302 ms |
48036 KB |
Output is correct |
| 45 |
Correct |
319 ms |
48172 KB |
Output is correct |
| 46 |
Correct |
309 ms |
48176 KB |
Output is correct |
| 47 |
Correct |
302 ms |
47224 KB |
Output is correct |
| 48 |
Correct |
291 ms |
47152 KB |
Output is correct |
| 49 |
Correct |
327 ms |
47864 KB |
Output is correct |
| 50 |
Correct |
315 ms |
47224 KB |
Output is correct |
| 51 |
Correct |
317 ms |
47224 KB |
Output is correct |
| 52 |
Correct |
222 ms |
36460 KB |
Output is correct |
| 53 |
Correct |
230 ms |
36344 KB |
Output is correct |
| 54 |
Correct |
223 ms |
36348 KB |
Output is correct |
| 55 |
Correct |
230 ms |
36088 KB |
Output is correct |
| 56 |
Correct |
303 ms |
48280 KB |
Output is correct |
| 57 |
Correct |
257 ms |
43172 KB |
Output is correct |
| 58 |
Correct |
265 ms |
43256 KB |
Output is correct |
| 59 |
Correct |
249 ms |
43256 KB |
Output is correct |
| 60 |
Correct |
249 ms |
41080 KB |
Output is correct |
| 61 |
Correct |
254 ms |
43768 KB |
Output is correct |
| 62 |
Correct |
255 ms |
43152 KB |
Output is correct |
| 63 |
Correct |
250 ms |
43744 KB |
Output is correct |
| 64 |
Correct |
249 ms |
42240 KB |
Output is correct |
| 65 |
Correct |
259 ms |
43816 KB |
Output is correct |
