#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
void print(long double t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T> void print(T v[],T n) {cerr << "["; for(int i = 0; i < n; i++) {cerr << v[i] << " ";} cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 4e3 + 10;
int dp[N][N / 2][2];
int n, a[N], b[N];
pair<pair<int, int>, int> prv[N][N / 2][2];
string cont(int i, int j, int k) {
string answ = "";
while(i) {
if(k == 1) {
answ += "A";
} else {
answ += "B";
}
auto u = prv[i][j][k];
i = u.first.first;
j = u.first.second;
k = u.second;
}
reverse(all(answ));
return answ;
}
void solve_() {
cin >> n;
for(int i = 1; i <= 2 * n; i++) {
cin >> a[i];
}
for(int i = 1; i <= 2 * n; i++) {
cin >> b[i];
}
dp[1][1][1] = 1;
dp[1][0][0] = 1;
for(int i = 1; i < 2 * n; i++) {
for(int j = 0; j <= min(i, n); j++) {
if(j < n) {
int ok = 0;
dp[i + 1][j + 1][1] |= dp[i][j][1] & (a[i] <= a[i + 1]);
if(dp[i + 1][j + 1][1]) {
prv[i + 1][j + 1][1] = make_pair(make_pair(i, j), 1);
ok = 1;
}
dp[i + 1][j + 1][1] |= dp[i][j][0] & (b[i] <= a[i + 1]);
if(dp[i + 1][j + 1][1] && !ok) {
prv[i + 1][j + 1][1] = make_pair(make_pair(i, j), 0);
}
}
if((i - j) < n) {
int ok = 0;
dp[i + 1][j][0] |= dp[i][j][1] & (a[i] <= b[i + 1]);
if(dp[i + 1][j][0]) {
prv[i + 1][j][0] = make_pair(make_pair(i, j), 1);
ok = 1;
}
dp[i + 1][j][0] |= dp[i][j][0] & (b[i] <= b[i + 1]);
if(dp[i + 1][j][0] && !ok) {
prv[i + 1][j][0] = make_pair(make_pair(i, j), 0);
}
}
}
}
if(dp[2 * n][n][0]) {
cout << cont(2 * n, n, 0) << '\n';
} else if(dp[2 * n][n][1]) {
cout << cont(2 * n, n, 1) << '\n';
} else {
cout << -1 << '\n';
}
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
building4.cpp: In function 'void setIO(std::string)':
building4.cpp:69:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
69 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
building4.cpp:70:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
70 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
44 ms |
49612 KB |
Output is correct |
6 |
Correct |
54 ms |
63300 KB |
Output is correct |
7 |
Correct |
38 ms |
54916 KB |
Output is correct |
8 |
Correct |
66 ms |
128604 KB |
Output is correct |
9 |
Correct |
57 ms |
97512 KB |
Output is correct |
10 |
Correct |
59 ms |
111792 KB |
Output is correct |
11 |
Correct |
50 ms |
66100 KB |
Output is correct |
12 |
Correct |
64 ms |
71004 KB |
Output is correct |
13 |
Correct |
55 ms |
70956 KB |
Output is correct |
14 |
Correct |
91 ms |
164008 KB |
Output is correct |
15 |
Correct |
71 ms |
117744 KB |
Output is correct |
16 |
Correct |
73 ms |
117648 KB |
Output is correct |
17 |
Correct |
75 ms |
122364 KB |
Output is correct |
18 |
Correct |
53 ms |
70936 KB |
Output is correct |
19 |
Correct |
53 ms |
70952 KB |
Output is correct |
20 |
Correct |
58 ms |
71152 KB |
Output is correct |
21 |
Correct |
57 ms |
70960 KB |
Output is correct |
22 |
Correct |
90 ms |
163668 KB |
Output is correct |
23 |
Correct |
88 ms |
147152 KB |
Output is correct |
24 |
Correct |
87 ms |
164020 KB |
Output is correct |
25 |
Correct |
84 ms |
142168 KB |
Output is correct |
26 |
Correct |
83 ms |
142572 KB |
Output is correct |
27 |
Correct |
90 ms |
163992 KB |
Output is correct |
28 |
Correct |
72 ms |
99264 KB |
Output is correct |
29 |
Correct |
77 ms |
119848 KB |
Output is correct |
30 |
Correct |
64 ms |
96100 KB |
Output is correct |
31 |
Correct |
78 ms |
111712 KB |
Output is correct |
32 |
Correct |
51 ms |
85276 KB |
Output is correct |
33 |
Correct |
70 ms |
113584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
44 ms |
49612 KB |
Output is correct |
6 |
Correct |
54 ms |
63300 KB |
Output is correct |
7 |
Correct |
38 ms |
54916 KB |
Output is correct |
8 |
Correct |
66 ms |
128604 KB |
Output is correct |
9 |
Correct |
57 ms |
97512 KB |
Output is correct |
10 |
Correct |
59 ms |
111792 KB |
Output is correct |
11 |
Correct |
50 ms |
66100 KB |
Output is correct |
12 |
Correct |
64 ms |
71004 KB |
Output is correct |
13 |
Correct |
55 ms |
70956 KB |
Output is correct |
14 |
Correct |
91 ms |
164008 KB |
Output is correct |
15 |
Correct |
71 ms |
117744 KB |
Output is correct |
16 |
Correct |
73 ms |
117648 KB |
Output is correct |
17 |
Correct |
75 ms |
122364 KB |
Output is correct |
18 |
Correct |
53 ms |
70936 KB |
Output is correct |
19 |
Correct |
53 ms |
70952 KB |
Output is correct |
20 |
Correct |
58 ms |
71152 KB |
Output is correct |
21 |
Correct |
57 ms |
70960 KB |
Output is correct |
22 |
Correct |
90 ms |
163668 KB |
Output is correct |
23 |
Correct |
88 ms |
147152 KB |
Output is correct |
24 |
Correct |
87 ms |
164020 KB |
Output is correct |
25 |
Correct |
84 ms |
142168 KB |
Output is correct |
26 |
Correct |
83 ms |
142572 KB |
Output is correct |
27 |
Correct |
90 ms |
163992 KB |
Output is correct |
28 |
Correct |
72 ms |
99264 KB |
Output is correct |
29 |
Correct |
77 ms |
119848 KB |
Output is correct |
30 |
Correct |
64 ms |
96100 KB |
Output is correct |
31 |
Correct |
78 ms |
111712 KB |
Output is correct |
32 |
Correct |
51 ms |
85276 KB |
Output is correct |
33 |
Correct |
70 ms |
113584 KB |
Output is correct |
34 |
Runtime error |
1806 ms |
260540 KB |
Execution killed with signal 11 |
35 |
Halted |
0 ms |
0 KB |
- |