이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const int N = 1e6 + 69;
int a[2][N];
pair<int, int> dp[2][N];
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
int n; cin >> n;
for(int j = 0; j<=1; ++j)
for(int i = 1; i<=n*2; ++i)
cin >> a[j][i];
dp[0][0] = dp[1][0] = {0, 0};
for(int i= 1; i<=n*2; ++i){
dp[0][i] = dp[1][i] = {-1, -1};
for(int j = 0; j <= 1; ++j) if (dp[j][i-1].first != -1) {
for(int k = 0; k <= 1; ++k) if (a[j][i-1] <= a[k][i]){
pair<int, int> cur = dp[j][i-1];
cur.first += k; cur.second += k;
if (dp[k][i].first == -1) dp[k][i] = cur;
else{
minimize(dp[k][i].first, cur.first);
maximize(dp[k][i].second, cur.second);
}
}
}
}
int cu = -1;
for(int j = 0; j <= 1; ++j){
if (dp[j][n*2].first <= n && dp[j][n*2].second >= n){
cu = j;
}
}
if (cu == -1){
cout << -1 << "\n";
return 0;
}
string ans;
int cnt = 0;
for(int i = n*2; i>=1; --i){
ans.push_back('A'+ cu);
cnt += cu;
for(int j = 0; j <= 1; ++j){
if (dp[j][i-1].first + cnt <= n && dp[j][i-1].second + cnt >= n){
cu = j;
break;
}
}
}
reverse(ALL(ans));
cout << ans << "\n";
if (cnt != n) exit(1);
int prev = 0;
for(int i = 1; i<=n*2; ++i){
int digit = ans[i-1] - 'A';
if (a[digit][i] < prev) exit(1);
prev = a[digit][i];
}
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
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