#include "paint.h"
#include <bits/stdc++.h>
using namespace std;
const int N = 2e5+5;
int n, k, w[N], b[N], sum[N];
bool pre[N][105], suf[N][105], black[N], white[N];
vector<int> c(1);
string solve_puzzle(string s, vector<int> _c) {
n = s.length(), k = _c.size();
s = '#' + s + '#';
for(int i : _c) c.emplace_back(i);
for(int i = 1; i <= n; i++) {
w[i] += w[i-1] + (s[i] == '_');
b[i] += b[i-1] + (s[i] == 'X');
}
pre[0][0] = 1;
for(int i = 1; i <= n; i++) {
pre[i][0] = (b[i] == 0);
for(int j = 1; j <= k; j++) {
if(s[i] != 'X') pre[i][j] |= pre[i-1][j];
if(s[i] != '_' && i >= c[j] && s[i-c[j]] != 'X' && w[i] == w[i-c[j]]) {
if(j == 1) pre[i][j] |= pre[i-c[j]][j-1];
else if(i > c[j]) pre[i][j] |= pre[i-c[j]-1][j-1];
}
}
}
suf[n+1][k+1] = suf[n+2][k+1] = 1;
for(int i = n; i; i--) {
suf[i][k+1] = (b[n] == b[i-1]);
for(int j = k; j; j--) {
if(s[i] != 'X') suf[i][j] |= suf[i+1][j];
if(s[i] != '_' && i + c[j] <= n + 1 && s[i+c[j]] != 'X' && w[i-1] == w[i+c[j]-1])
suf[i][j] |= suf[i+c[j]+1][j+1];
}
}
for(int i = 1; i <= n; i++) {
if(s[i] == '_') white[i] = 1;
else for(int j = 0; j <= k; j++)
white[i] |= (pre[i-1][j] && suf[i+1][j+1]);
if(s[i] == '_') continue;
for(int j = 1; j <= k; j++) if(i >= c[j] && s[i-c[j]] != 'X'&& s[i+1] != 'X' && w[i] == w[i-c[j]]) {
if(!suf[i+2][j+1]) continue;
if((j == 1 && pre[i-c[j]][j-1]) || (i > c[j] && pre[i-c[j]-1][j-1]))
++sum[i-c[j]+1], --sum[i+1];
}
}
string ans = "";
for(int i = 1; i <= n; i++) {
sum[i] += sum[i-1];
black[i] |= (sum[i] > 0);
if(s[i] != '.') ans += s[i];
else if(black[i] && white[i]) ans += '?';
else ans += black[i] ? 'X' : '_';
}
return ans;
}
