Submission #1133456

#TimeUsernameProblemLanguageResultExecution timeMemory
1133456Zbyszek99Building 4 (JOI20_building4)C++20
100 / 100
154 ms49508 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define ld long double #define ull unsigned long long #define ff first #define ss second #define pii pair<int,int> #define pll pair<long long, long long> #define vi vector<int> #define vl vector<long long> #define pb push_back #define rep(i, b) for(int i = 0; i < (b); ++i) #define rep2(i,a,b) for(int i = a; i <= (b); ++i) #define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c) #define count_bits(x) __builtin_popcountll((x)) #define all(x) (x).begin(),(x).end() #define siz(x) (int)(x).size() #define forall(it,x) for(auto& it:(x)) using namespace __gnu_pbds; using namespace std; typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set; //mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());} //ll los(ll a, ll b) {return a + (mt() % (b-a+1));} const int INF = 1e9+50; const ll INF_L = 1e18+40; const ll MOD = 1e9+7; ll A[1000001]; ll B[1000001]; pll DP[1000001][2]; int main() { ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0); //random_start(); int n; cin >> n; rep2(i,1,n*2) cin >> A[i]; rep2(i,1,n*2) cin >> B[i]; rep2(i,1,n*2) { //A DP[i][0] = {1e9,-1e9}; DP[i][1] = {1e9,-1e9}; if(A[i-1] <= A[i]) { DP[i][0].ff = min(DP[i][0].ff,DP[i-1][0].ff+1); DP[i][0].ss = max(DP[i][0].ss,DP[i-1][0].ss+1); } if(B[i-1] <= A[i]) { DP[i][0].ff = min(DP[i][0].ff,DP[i-1][1].ff+1); DP[i][0].ss = max(DP[i][0].ss,DP[i-1][1].ss+1); } if(A[i-1] <= B[i]) { DP[i][1].ff = min(DP[i][1].ff,DP[i-1][0].ff); DP[i][1].ss = max(DP[i][1].ss,DP[i-1][0].ss); } if(B[i-1] <= B[i]) { DP[i][1].ff = min(DP[i][1].ff,DP[i-1][1].ff); DP[i][1].ss = max(DP[i][1].ss,DP[i-1][1].ss); } //cout << DP[i][0].ff << " " << DP[i][0].ss << " " << DP[i][1].ff << " " << DP[i][1].ss << " dp\n"; } ll must_A = n; string ans; int cur_v = -1; if(DP[n*2][0].ff <= n && DP[n*2][0].ss >= n) { cur_v = 0; } if(DP[n*2][1].ff <= n && DP[n*2][1].ss >= n) { cur_v = 1; } if(cur_v == -1) { cout << "-1\n"; return 0; } for(int i = n*2; i >= 1; i--) { if(cur_v == 0) { must_A--; ans += 'A'; if(A[i-1] <= A[i] && (DP[i-1][0].ff <= must_A && DP[i-1][0].ss >= must_A)) { cur_v = 0; } else if(B[i-1] <= A[i] && (DP[i-1][1].ff <= must_A && DP[i-1][1].ss >= must_A)) { cur_v = 1; } } else { ans += 'B'; if(A[i-1] <= B[i] && (DP[i-1][0].ff <= must_A && DP[i-1][0].ss >= must_A)) { cur_v = 0; } else if(B[i-1] <= B[i] && (DP[i-1][1].ff <= must_A && DP[i-1][1].ss >= must_A)) { cur_v = 1; } } } reverse(all(ans)); cout << ans << "\n"; }
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