Submission #67801

#TimeUsernameProblemLanguageResultExecution timeMemory
67801TalantPaint By Numbers (IOI16_paint)C++14
100 / 100
991 ms69708 KiB
#include "paint.h"
//#include "grader.cpp"

#include <bits/stdc++.h>

#define pb push_back
#define sc second
#define fr first
#define mk make_pair

using namespace std;

const int N = (4e5 + 5);
const int inf = (1e9 + 7);

int n,m;
int b[N],w[N];
bool dp[N][105];
bool inv[N][105];
int u[N][3];

string ans;

string solve_puzzle(string s, vector<int> c) {
      n = (int)s.size();
      m = (int)c.size();

      dp[0][0] = 1;

      for (int i = 1; i <= n; i ++) {
            b[i] = b[i - 1];
            w[i] = w[i - 1];
            if (s[i - 1] == 'X') b[i] ++;
            if (s[i - 1] == '_') w[i] ++;
            if (!b[i]) dp[i][0] = 1;
      }

      for (int i = n; i >= 1; i --){
            if (b[n] - b[i - 1] == 0) inv[i][0] = 1;
            inv[i + n][0] = 1;
      }

      for (int j = 1; j <= m; j ++) {
            for (int i = n; i >= 1; i --) {
                  if (s[i - 1] == '_') inv[i][j] = inv[i + 1][j];
                  else if (s[i - 1] == 'X') {
                        if (i + c[m - j] - 1 <= n && w[i + c[m - j] - 1] - w[i - 1] == 0 && s[i + c[m - j] - 1] != 'X')
                              inv[i][j] = inv[i + c[m - j] + 1][j - 1];
                  }
                  else {
                        inv[i][j] |= inv[i + 1][j];
                        if (i + c[m - j] - 1 <= n && w[i + c[m - j] - 1] - w[i - 1] == 0 && s[i + c[m - j] - 1] != 'X')
                              inv[i][j] |= inv[i + c[m - j] + 1][j - 1];
                  }
            }
      }

      for (int j = 0; j <= m; j ++) {
            for (int i = 1; i <= n; i ++) {
                  if (j > 0) {
                        if (s[i - 1] == '_') dp[i][j] = dp[i - 1][j];
                        else if (s[i - 1] == 'X') {
                              if (i - c[j - 1] >= 0 && w[i] - w[i - c[j - 1]] == 0)  {
                                    if (i - c[j - 1] - 1 < 0) {
                                          if (j - 1 == 0)
                                                dp[i][j] = 1;
                                    }
                                    else {
                                          if (s[i - c[j - 1] - 1] != 'X')
                                                dp[i][j] = dp[i - c[j - 1] - 1][j - 1];
                                    }
                              }
                        }
                        else {
                              dp[i][j] |= dp[i - 1][j];
                              if (i - c[j - 1] >= 0 && w[i] - w[i - c[j - 1]] == 0) {
                                    if (i - c[j - 1] - 1 < 0) {
                                          if (j - 1 == 0)
                                                dp[i][j] |= 1;
                                    }
                                    else {
                                          if (s[i - c[j - 1] - 1] != 'X')
                                                dp[i][j] |= dp[i - c[j - 1] - 1][j - 1];
                                    }
                              }
                        }
                  }
                  if (s[i - 1] != 'X' && dp[i - 1][j] && inv[i + 1][m - j]) u[i][1] = 1;
                  if (j == 0) continue;
                  if (w[i + c[j - 1] - 1] - w[i - 1] == 0 && (i == 1 || s[i - 2] != 'X') && (s[i + c[j - 1] - 1] != 'X') && ((i == 1 && j - 1 == 0) || dp[i - 2][j - 1]) && (inv[i + c[j - 1] + 1][m - j])) {
                        u[i][2] ++,u[i + c[j - 1]][2] --;
                  }
            }
      }

      for (int i = 1; i <= n; i ++) {
            u[i][2] += u[i - 1][2];
            if (u[i][1] && u[i][2]) ans += '?';
            else if (u[i][1]) ans += '_';
            else ans += 'X';
      }
      return ans;
}
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