| # | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 674317 | 2022-12-23T17:01:43 Z | QwertyPi | Hidden Sequence (info1cup18_hidden) | C++14 | 0 ms | 0 KB |
#include <bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define pii pair<int, int>
#ifndef TEST
#include "grader.h"
#endif
using namespace std;
vector<int> a;
#ifdef TEST
bool isSubsequence(vector<int> S){
// cout << "QRY "; for(auto i : S) cout << i << ' ';
int l = 0, r = 0;
while(l < a.size() && r < S.size()){
if(a[l] != S[r]) l++;
else l++, r++;
}
// cout << (r == S.size() ? "YES" : "NO") << endl;
return r == S.size();
}
#else
bool isSubsequence(vector<int32_t> S);
#endif
bool flipped = false;
bool iss(vector<int> S){
if(flipped) for(auto& i : S) i = 1 - i;
return isSubsequence(S);
}
int dp[201][201];
vector<int32_t> findSequence(int32_t N){
int c0 = 0, c1 = 0;
for(int i = 1; i <= N / 2 + 1; i++){
vector<int> a; for(int j = 0; j < i; j++) a.push_back(0);
if(!isSubsequence(a)){
c0 = i - 1, c1 = N - (i - 1);
break;
}
}
for(int i = 1; i <= N / 2 + 1; i++){
vector<int> a; for(int j = 0; j < i; j++) a.push_back(1);
if(!isSubsequence(a)){
c0 = N - (i - 1), c1 = i - 1;
break;
}
}
if(c0 >= c1) flipped = true, swap(c0, c1);
for(int l = 0; l <= c0; l++){
for(int r = 0; r <= c0; r++){
if(l - 1 != r) dp[l][r] = -1;
}
}
for(int l = 0; l <= c0; l++){
for(int r = l; r <= c0; r++){
int d = r - l;
int quota = (N / 2 + 1) - (c0 - d);
for(int k = 1; k <= quota; k++){
vector<int> qry;
for(int j = 0; j < l; j++){
qry.push_back(0);
}
for(int j = 1; j <= k; j++){
qry.push_back(1);
}
for(int j = r; j < c0; j++){
qry.push_back(0);
}
if(!iss(qry)) {
dp[l][r] = k - 1;
break;
}
}
}
}
dp[0][c0] = c1;
for(int tr = 0; tr <= c0; tr++){
for(int i = 0; i < c0; i++){
for(int j = i; j < c0; j++){
if(dp[i][j] == -1 && dp[i + 1][j] != -1 && dp[i][j + 1] != -1 && dp[i + 1][j + 1] != -1)
dp[i][j] = dp[i + 1][j] + dp[i][j + 1] - dp[i + 1][j + 1];
if(dp[i][j] != -1 && dp[i + 1][j] == -1 && dp[i][j + 1] != -1 && dp[i + 1][j + 1] != -1)
dp[i + 1][j] = dp[i][j] - dp[i][j + 1] + dp[i + 1][j + 1];
if(dp[i][j] != -1 && dp[i + 1][j] != -1 && dp[i][j + 1] == -1 && dp[i + 1][j + 1] != -1)
dp[i][j + 1] = dp[i][j] - dp[i + 1][j] + dp[i + 1][j + 1];
if(dp[i][j] != -1 && dp[i + 1][j] != -1 && dp[i][j + 1] != -1 && dp[i + 1][j + 1] == -1)
dp[i + 1][j + 1] = dp[i + 1][j] + dp[i][j + 1] - dp[i][j];
}
}
}
vector<int32_t> ans;
int tot = 0;
for(int i = 0; i <= c0; i++){
tot += dp[i][i] == -1 ? 0 : dp[i][i];
}
for(int i = 0; i <= c0; i++){
if(dp[i][i] == -1){ dp[i][i] = c1 - tot; }
}
for(int i = 0; i <= c0; i++){
for(int j = 0; j < dp[i][i]; j++) ans.push_back(1);
if(i != c0) ans.push_back(0);
}
if(flipped){
for(auto& i : ans) i = 1 - i;
}
return ans;
}
#ifdef TEST
int32_t main(){
int n; cin >> n;
vector<int> a;
for(int i = 0; i < n; i++){
int v; cin >> v; a.push_back(v);
}
::a = a;
vector<int> ans = findSequence(n);
for(auto i : ans) cout << i << ' '; cout << endl;
}
#endif