# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
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674312 | 2022-12-23T16:59:18 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<int> 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<int> findSequence(int 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]; } } for(int i = 0; i <= c0; i++){ for(int j = 0; j <= c0; j++){ cout << dp[i][j] << ' '; } cout << endl; } cout << endl; } vector<int> 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