//Never stop trying
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
typedef long long ll;
typedef string str;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
const int MOD = 1e9 + 7; //998244353
const ll INF = 1e18;
const int MX = 5e5 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up
template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
ll random(ll a, ll b){
return a + rng() % (b - a + 1);
}
#ifndef LOCAL
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl;
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;
void IO() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
/////////////////////////ONLY CLEAN CODES ALLOWED/////////////////////////
int N;
vi A(MX*2),B(MX*2);
vector<char> memo[MX*2][2][2];
void allocate(int l=0, int r=2*N-1, int pos=1){
FOR(i,0,2) FOR(j,0,2) memo[pos][i][j].assign(r-l+2,'-');
if(l==r) return;
int m=(l+r)/2;
allocate(l,m,pos*2);
allocate(m+1,r,pos*2+1);
}
int solve(int l, int r, int n, int b, int e, int pos){
if(n>(r-l+1)) return 0;
if(n<(b==0)+(l<r && e==0)) return 0;
if(r-l<=1){
if(l==r){
if(b!=e) return 0;
if(n && b) return 0;
if(!n && !b) return 0;
return 1;
}
else{
int x=A[l]; if(b) x=B[l];
int y=A[r]; if(e) y=B[r];
if(x>y) return 0;
if(n!=(b==0)+(e==0)) return 0;
return 1;
}
}
char &ind=memo[pos][b][e][n];
if(ind!='-') return ind-'0';
FOR(n1,0,n+1) FOR(e1,0,2) FOR(b2,0,2){
int b1=b,e2=e;
int n2=n-n1,m=(l+r)/2;
int x=A[m]; if(e1) x=B[m];
int y=A[m+1]; if(b2) y=B[m+1];
if(x<=y && solve(l,m,n1,b1,e1,pos*2) &&
solve(m+1,r,n2,b2,e2,pos*2+1)){
ind='1';return 1;
}
}
ind='0';
return 0;
}
str build(int l, int r, int n, int b, int e, int pos){
if(l==r){
if(!b) return "A";
return "B";
}
else if(r-l==1){
str ans;
if(b) ans+="B";
else ans+="A";
if(e) ans+="B";
else ans+="A";
}
FOR(n1,0,n+1) FOR(e1,0,2) FOR(b2,0,2){
int b1=b,e2=e;
int n2=n-n1,m=(l+r)/2;
int x=A[m]; if(e1) x=B[m];
int y=A[m+1]; if(b2) y=B[m+1];
if(x<=y && solve(l,m,n1,b1,e1,pos*2) &&
solve(m+1,r,n2,b2,e2,pos*2+1)){
str ans=build(l,m,n1,b1,e1,pos*2);
ans+=build(m+1,r,n2,b2,e2,pos*2+1);
return ans;
}
}
return "";
}
int main() {
boost; IO();
cin>>N;
FOR(i,0,N*2) cin>>A[i];
FOR(i,0,N*2) cin>>B[i];
allocate();
FOR(b,0,2) FOR(e,0,2){
if(solve(0,2*N-1,N,b,e,1)){
cout << build(0,2*N-1,N,b,e,1) << endl;
return 0;
}
}
cout << -1 << endl;
return 0;
}
//Change your approach
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
102016 KB |
Output is correct |
2 |
Correct |
63 ms |
101968 KB |
Output is correct |
3 |
Correct |
63 ms |
102024 KB |
Output is correct |
4 |
Correct |
64 ms |
102024 KB |
Output is correct |
5 |
Correct |
73 ms |
103048 KB |
Output is correct |
6 |
Correct |
417 ms |
103084 KB |
Output is correct |
7 |
Correct |
284 ms |
102980 KB |
Output is correct |
8 |
Correct |
133 ms |
102932 KB |
Output is correct |
9 |
Correct |
577 ms |
103068 KB |
Output is correct |
10 |
Correct |
259 ms |
102952 KB |
Output is correct |
11 |
Correct |
189 ms |
103020 KB |
Output is correct |
12 |
Correct |
185 ms |
103192 KB |
Output is correct |
13 |
Correct |
406 ms |
103232 KB |
Output is correct |
14 |
Correct |
115 ms |
103192 KB |
Output is correct |
15 |
Correct |
610 ms |
103196 KB |
Output is correct |
16 |
Correct |
455 ms |
103196 KB |
Output is correct |
17 |
Correct |
399 ms |
103192 KB |
Output is correct |
18 |
Correct |
444 ms |
103188 KB |
Output is correct |
19 |
Correct |
627 ms |
103188 KB |
Output is correct |
20 |
Correct |
502 ms |
103188 KB |
Output is correct |
21 |
Correct |
461 ms |
103188 KB |
Output is correct |
22 |
Correct |
133 ms |
103308 KB |
Output is correct |
23 |
Correct |
171 ms |
103112 KB |
Output is correct |
24 |
Correct |
153 ms |
103192 KB |
Output is correct |
25 |
Correct |
542 ms |
103184 KB |
Output is correct |
26 |
Correct |
559 ms |
103192 KB |
Output is correct |
27 |
Correct |
645 ms |
103192 KB |
Output is correct |
28 |
Correct |
243 ms |
103040 KB |
Output is correct |
29 |
Correct |
273 ms |
103200 KB |
Output is correct |
30 |
Correct |
299 ms |
103076 KB |
Output is correct |
31 |
Correct |
292 ms |
103200 KB |
Output is correct |
32 |
Correct |
379 ms |
102980 KB |
Output is correct |
33 |
Correct |
514 ms |
103196 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
102016 KB |
Output is correct |
2 |
Correct |
63 ms |
101968 KB |
Output is correct |
3 |
Correct |
63 ms |
102024 KB |
Output is correct |
4 |
Correct |
64 ms |
102024 KB |
Output is correct |
5 |
Correct |
73 ms |
103048 KB |
Output is correct |
6 |
Correct |
417 ms |
103084 KB |
Output is correct |
7 |
Correct |
284 ms |
102980 KB |
Output is correct |
8 |
Correct |
133 ms |
102932 KB |
Output is correct |
9 |
Correct |
577 ms |
103068 KB |
Output is correct |
10 |
Correct |
259 ms |
102952 KB |
Output is correct |
11 |
Correct |
189 ms |
103020 KB |
Output is correct |
12 |
Correct |
185 ms |
103192 KB |
Output is correct |
13 |
Correct |
406 ms |
103232 KB |
Output is correct |
14 |
Correct |
115 ms |
103192 KB |
Output is correct |
15 |
Correct |
610 ms |
103196 KB |
Output is correct |
16 |
Correct |
455 ms |
103196 KB |
Output is correct |
17 |
Correct |
399 ms |
103192 KB |
Output is correct |
18 |
Correct |
444 ms |
103188 KB |
Output is correct |
19 |
Correct |
627 ms |
103188 KB |
Output is correct |
20 |
Correct |
502 ms |
103188 KB |
Output is correct |
21 |
Correct |
461 ms |
103188 KB |
Output is correct |
22 |
Correct |
133 ms |
103308 KB |
Output is correct |
23 |
Correct |
171 ms |
103112 KB |
Output is correct |
24 |
Correct |
153 ms |
103192 KB |
Output is correct |
25 |
Correct |
542 ms |
103184 KB |
Output is correct |
26 |
Correct |
559 ms |
103192 KB |
Output is correct |
27 |
Correct |
645 ms |
103192 KB |
Output is correct |
28 |
Correct |
243 ms |
103040 KB |
Output is correct |
29 |
Correct |
273 ms |
103200 KB |
Output is correct |
30 |
Correct |
299 ms |
103076 KB |
Output is correct |
31 |
Correct |
292 ms |
103200 KB |
Output is correct |
32 |
Correct |
379 ms |
102980 KB |
Output is correct |
33 |
Correct |
514 ms |
103196 KB |
Output is correct |
34 |
Runtime error |
421 ms |
241456 KB |
Execution killed with signal 11 |
35 |
Halted |
0 ms |
0 KB |
- |