#include <bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#define endl "\n"
typedef long long ll;
template<class T, class T2> inline ostream &operator <<(ostream &out, const pair<T, T2> &x) { out << x.first << " " << x.second; return out;}
template<class T, class T2> inline istream &operator >>(istream &in, pair<T, T2> &x) { in >> x.first >> x.second; return in;}
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
const ll mod = 1e9 + 7;
#define out(x) "{" << (#x) << ": " << x << "} "
const ll MAX_N = 1e6 + 10;
ll n;
ll arr[MAX_N][2];
ll dpLow[MAX_N][2], dpHigh[MAX_N][2];
bool output(ll x, ll y, ll got = mod) {
if(x == -1) {return true;}
if(dpLow[x][0] <= y && y <= dpHigh[x][0] && arr[x][0] <= got) {
output(x - 1, y, arr[x][0]);
cout << "A";
return true;
} else if(dpLow[x][1] <= y && y <= dpHigh[x][1] && arr[x][1] <= got) {
output(x - 1, y - 1, arr[x][1]);
cout << "B";
return true;
}
return false;
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> n;
n *= 2;
for(ll j = 0; j < 2; j ++) {
for(ll i = 0; i < n; i ++ ){
cin >> arr[i][j];
}
}
for(ll i = 0; i < n; i ++) {
dpLow[i][0] = dpLow[i][1] = mod;
dpHigh[i][0] = dpHigh[i][1] = -mod;
}
dpLow[0][0] = 0; dpHigh[0][0] = 0;
dpLow[0][1] = 1; dpHigh[0][1] = 1;
for(ll i = 0; i < n; i ++) {
for(ll j = 0; j < 2; j ++) {
ll now = arr[i][j];
if(now <= arr[i + 1][0]) {
chkmin(dpLow[i + 1][0], dpLow[i][j]);
chkmax(dpHigh[i + 1][0], dpHigh[i][j]);
}
if(now <= arr[i + 1][1]) {
chkmin(dpLow[i + 1][1], dpLow[i][j] + 1);
chkmax(dpHigh[i + 1][1], dpHigh[i][j] + 1);
}
}
}
if(!output(n - 1, n / 2)) {
cout << -1 << endl;
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
492 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Correct |
0 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
492 KB |
Output is correct |
| 6 |
Correct |
2 ms |
620 KB |
Output is correct |
| 7 |
Correct |
2 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
620 KB |
Output is correct |
| 9 |
Correct |
2 ms |
620 KB |
Output is correct |
| 10 |
Correct |
1 ms |
620 KB |
Output is correct |
| 11 |
Correct |
2 ms |
620 KB |
Output is correct |
| 12 |
Correct |
2 ms |
620 KB |
Output is correct |
| 13 |
Correct |
2 ms |
620 KB |
Output is correct |
| 14 |
Correct |
2 ms |
620 KB |
Output is correct |
| 15 |
Correct |
2 ms |
620 KB |
Output is correct |
| 16 |
Correct |
1 ms |
492 KB |
Output is correct |
| 17 |
Correct |
2 ms |
620 KB |
Output is correct |
| 18 |
Correct |
2 ms |
620 KB |
Output is correct |
| 19 |
Correct |
2 ms |
620 KB |
Output is correct |
| 20 |
Correct |
2 ms |
748 KB |
Output is correct |
| 21 |
Correct |
1 ms |
620 KB |
Output is correct |
| 22 |
Correct |
1 ms |
620 KB |
Output is correct |
| 23 |
Correct |
2 ms |
620 KB |
Output is correct |
| 24 |
Correct |
2 ms |
620 KB |
Output is correct |
| 25 |
Correct |
1 ms |
760 KB |
Output is correct |
| 26 |
Correct |
2 ms |
620 KB |
Output is correct |
| 27 |
Correct |
1 ms |
620 KB |
Output is correct |
| 28 |
Correct |
1 ms |
620 KB |
Output is correct |
| 29 |
Correct |
1 ms |
620 KB |
Output is correct |
| 30 |
Correct |
1 ms |
620 KB |
Output is correct |
| 31 |
Correct |
3 ms |
620 KB |
Output is correct |
| 32 |
Correct |
1 ms |
620 KB |
Output is correct |
| 33 |
Correct |
1 ms |
620 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
492 KB |
Output is correct |
| 2 |
Correct |
0 ms |
364 KB |
Output is correct |
| 3 |
Correct |
0 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
492 KB |
Output is correct |
| 6 |
Correct |
2 ms |
620 KB |
Output is correct |
| 7 |
Correct |
2 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
620 KB |
Output is correct |
| 9 |
Correct |
2 ms |
620 KB |
Output is correct |
| 10 |
Correct |
1 ms |
620 KB |
Output is correct |
| 11 |
Correct |
2 ms |
620 KB |
Output is correct |
| 12 |
Correct |
2 ms |
620 KB |
Output is correct |
| 13 |
Correct |
2 ms |
620 KB |
Output is correct |
| 14 |
Correct |
2 ms |
620 KB |
Output is correct |
| 15 |
Correct |
2 ms |
620 KB |
Output is correct |
| 16 |
Correct |
1 ms |
492 KB |
Output is correct |
| 17 |
Correct |
2 ms |
620 KB |
Output is correct |
| 18 |
Correct |
2 ms |
620 KB |
Output is correct |
| 19 |
Correct |
2 ms |
620 KB |
Output is correct |
| 20 |
Correct |
2 ms |
748 KB |
Output is correct |
| 21 |
Correct |
1 ms |
620 KB |
Output is correct |
| 22 |
Correct |
1 ms |
620 KB |
Output is correct |
| 23 |
Correct |
2 ms |
620 KB |
Output is correct |
| 24 |
Correct |
2 ms |
620 KB |
Output is correct |
| 25 |
Correct |
1 ms |
760 KB |
Output is correct |
| 26 |
Correct |
2 ms |
620 KB |
Output is correct |
| 27 |
Correct |
1 ms |
620 KB |
Output is correct |
| 28 |
Correct |
1 ms |
620 KB |
Output is correct |
| 29 |
Correct |
1 ms |
620 KB |
Output is correct |
| 30 |
Correct |
1 ms |
620 KB |
Output is correct |
| 31 |
Correct |
3 ms |
620 KB |
Output is correct |
| 32 |
Correct |
1 ms |
620 KB |
Output is correct |
| 33 |
Correct |
1 ms |
620 KB |
Output is correct |
| 34 |
Correct |
264 ms |
60668 KB |
Output is correct |
| 35 |
Correct |
299 ms |
77284 KB |
Output is correct |
| 36 |
Correct |
327 ms |
76160 KB |
Output is correct |
| 37 |
Correct |
300 ms |
77800 KB |
Output is correct |
| 38 |
Correct |
300 ms |
77540 KB |
Output is correct |
| 39 |
Correct |
303 ms |
76888 KB |
Output is correct |
| 40 |
Correct |
303 ms |
82760 KB |
Output is correct |
| 41 |
Correct |
329 ms |
78584 KB |
Output is correct |
| 42 |
Correct |
317 ms |
80608 KB |
Output is correct |
| 43 |
Correct |
325 ms |
83412 KB |
Output is correct |
| 44 |
Correct |
326 ms |
83300 KB |
Output is correct |
| 45 |
Correct |
330 ms |
83296 KB |
Output is correct |
| 46 |
Correct |
351 ms |
83252 KB |
Output is correct |
| 47 |
Correct |
320 ms |
82660 KB |
Output is correct |
| 48 |
Correct |
307 ms |
82260 KB |
Output is correct |
| 49 |
Correct |
307 ms |
83172 KB |
Output is correct |
| 50 |
Correct |
334 ms |
82596 KB |
Output is correct |
| 51 |
Correct |
338 ms |
82684 KB |
Output is correct |
| 52 |
Correct |
283 ms |
71652 KB |
Output is correct |
| 53 |
Correct |
267 ms |
71668 KB |
Output is correct |
| 54 |
Correct |
225 ms |
71644 KB |
Output is correct |
| 55 |
Correct |
237 ms |
71396 KB |
Output is correct |
| 56 |
Correct |
304 ms |
83416 KB |
Output is correct |
| 57 |
Correct |
282 ms |
78308 KB |
Output is correct |
| 58 |
Correct |
302 ms |
78564 KB |
Output is correct |
| 59 |
Correct |
325 ms |
78532 KB |
Output is correct |
| 60 |
Correct |
270 ms |
74212 KB |
Output is correct |
| 61 |
Correct |
290 ms |
78980 KB |
Output is correct |
| 62 |
Correct |
273 ms |
77924 KB |
Output is correct |
| 63 |
Correct |
305 ms |
79224 KB |
Output is correct |
| 64 |
Correct |
269 ms |
76356 KB |
Output is correct |
| 65 |
Correct |
277 ms |
79160 KB |
Output is correct |
