This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "paint.h"
#include <bits/stdc++.h>
using namespace std;
string solve_puzzle(string s, vector<int> c) {
int n = s.size();
int k = c.size();
s.insert(s.begin(), '.');
c.insert(c.begin(), 0);
bitset<105> dp1[n+2];
bitset<105> dp2[n+2];
int pref[n + 1];
pref[0] = 0;
for(int i = 1;i <= n;i++)pref[i] = pref[i-1] + (s[i] == '_');
dp1[0][0] = 1;
for(int i = 1;i <= n;i++){
if(s[i] == 'X'){
dp1[i] = 0;
continue;
}
dp1[i] = dp1[i-1];
for(int j = 1;j <= k;j++){
bool b = (i > c[j]) && (pref[i - 1] - pref[i - c[j] - 1] == 0) && dp1[i - c[j] - 1][j - 1];
if(b)dp1[i][j] = 1;
}
}
dp2[n+1][k+1] = 1;
for(int i = n;i >= 1;i--){
if(s[i] == 'X'){
dp2[i] = 0;
continue;
}
dp2[i] = dp2[i+1];
for(int j = 1;j <= k;j++){
bool b = (i + c[j] <= n) && (pref[i + c[j]] - pref[i] == 0) && dp2[i + c[j] + 1][j + 1];
if(b)dp2[i][j] = 1;
}
}
int A[n+2];
memset(A, 0, sizeof A);
for(int j = 1;j <= k;j++){
int ind = 1;
for(int i = c[j];i <= n;i++, ind++){
if(pref[i] - pref[ind - 1] > 0)continue;
if(!dp1[ind-1][j-1])continue;
if(!dp2[i+1][j+1])continue;
A[ind]++;
A[i + 1]--;
}
}
for(int i =1;i <= n;i++)A[i] += A[i-1];
string ans;
for(int i = 1;i <= n;i++){
if(s[i] != '.'){
ans += s[i];
continue;
}
bool w = 0, b = 0;
for(int j = 0;j <= k;j++)w |= (dp1[i][j] && dp2[i][j+1]);
b = A[i] > 0;
if(w && b)ans += "?";
else if(w)ans += "_";
else ans += "X";
}
return ans;
}
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