제출 #641973

#제출 시각아이디문제언어결과실행 시간메모리
641973QwertyPiPaint By Numbers (IOI16_paint)C++14
100 / 100
311 ms42968 KiB
#include "paint.h" #include <cstdlib> #include <bits/stdc++.h> using namespace std; bool dpf[101][200002], dpb[101][200002]; string s; int n; int ps_b[200002], ps_w[200002]; inline bool empty(int l, int r) { if(l < 1 || l > n || r < 1 || r > n) return false; return ps_b[r] == ps_b[l - 1]; } inline bool fill(int l, int r) { if(l < 1 || l > n || r < 1 || r > n) return false; return ps_w[r] == ps_w[l - 1]; } int aps_b[200002]; std::string solve_puzzle(std::string s, std::vector<int> c) { s = "_" + s + "$"; n = s.size() - 2; for(int i = 1; i <= n; i++) ps_b[i] = ps_b[i - 1] + (s[i] == 'X'); for(int i = 1; i <= n; i++) ps_w[i] = ps_w[i - 1] + (s[i] == '_'); int k = c.size(); vector<int> a; a.push_back(0); for(int i = 0; i < k; i++) { a.push_back(c[i]); }; dpf[0][0] = dpb[k + 1][n + 1] = true; for(int i = 0; i <= k; i++){ for(int j = 1; j <= n; j++){ dpf[i][j] |= dpf[i][j - 1] && empty(j, j); if(i == 1){ if(j >= a[i]) dpf[i][j] |= dpf[i - 1][j - a[i]] && fill(j - a[i] + 1, j); }else if(i > 1){ if(j >= a[i] + 1) dpf[i][j] |= dpf[i - 1][j - a[i] - 1] && empty(j - a[i], j - a[i]) && fill(j - a[i] + 1, j); } } } for(int i = k + 1; i >= 1; i--){ for(int j = n; j >= 1; j--){ dpb[i][j] |= dpb[i][j + 1] && empty(j, j); if(i == k){ if(j <= n - a[i] + 1) dpb[i][j] |= dpb[i + 1][j + a[i]] && fill(j, j + a[i] - 1); }else if(i < k){ if(j <= n - a[i]) dpb[i][j] |= dpb[i + 1][j + a[i] + 1] && empty(j + a[i], j + a[i]) && fill(j, j + a[i] - 1); } } } string ans(n, ' '); for(int i = 1; i <= k; i++){ for(int j = 1; j <= n; j++){ bool ok = true; ok &= fill(j, j + a[i] - 1); int f = j - (i != 1), b = j + a[i] - 1 + (i != k); if(i != 1) ok &= empty(j - 1, j - 1); if(i != k) ok &= empty(j + a[i], j + a[i]); if(!ok) continue; if(dpf[i - 1][f - 1] && dpb[i + 1][b + 1]){ aps_b[j]++, aps_b[j + a[i]]--; } } } for(int i = 1; i <= n; i++){ aps_b[i] += aps_b[i - 1]; } for(int i = 1; i <= n; i++){ if(s[i] != '.'){ ans[i - 1] = s[i]; continue; } bool can_b = aps_b[i], can_w = false; for(int j = 0; j <= k; j++){ if(dpf[j][i - 1] && dpb[j + 1][i + 1]){ can_w = true; } } ans[i - 1] = (can_b ? (can_w ? '?' : 'X') : (can_w ? '_' : '$')); } return ans; }
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