This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define pb push_back
#define ss second
#define ff first
#define vt vector
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const int inf = 1e9;
const int mod = 1e9+7;
const int maxn = 2e5 + 4;
//#include "paint.h"
bool dp[maxn][101], pd[maxn][101], DP[maxn][101], PD[maxn][101];
string solve_puzzle(string s, vector<int> c) {
int n = s.size(), k = c.size();
dp[0][0] = DP[0][0] = 1;
s = "$" + s + "$";
for(int i = 1, ls = 0; i <= n; i++){
if(s[i] == '_'){
ls = i;
for(int j = 0; j <= k; j++)DP[i][j] = DP[i - 1][j];
}
else {
for(int j = 0; j < k; j++){
if(ls <= i - c[j]){
if(i == c[j]){
if(j == 0)dp[i][1] = 1;
}
else if(s[i - c[j]] != 'X')dp[i][j + 1] |= DP[i - c[j] - 1][j];
}
}
if(s[i] == 'X'){
for(int j = 0; j <= k; j++)DP[i][j] = dp[i][j];
}
else for(int j = 0; j <= k; j++)DP[i][j] = dp[i][j] | DP[i - 1][j];
}
}
pd[n + 1][0] = PD[n + 1][0] = 1;
for(int i = n, ls = n + 1; i >= 1; i--){
if(s[i] == '_'){
ls = i;
for(int j = 0; j <= k; j++)PD[i][j] = PD[i + 1][j];
}
else {
for(int j = 0; j < k; j++){
if(ls >= i + c[k - j - 1]){
if(i + c[k - j - 1] == n + 1){
if(j == 0)pd[i][1] = 1;
}
else if(s[i + c[k - j - 1]] != 'X')pd[i][j + 1] |= PD[i + c[k - j - 1] + 1][j];
}
}
if(s[i] == 'X'){
for(int j = 0; j <= k; j++)PD[i][j] = pd[i][j];
}
else for(int j = 0; j <= k; j++)PD[i][j] = pd[i][j] | PD[i + 1][j];
}
}
string ret = "";
int r = 0;
for(int i = 1; i <= n; i++){
for(int j = 0; j < k; j++){
if(s[i - 1] != 'X' && ((i == 1) ? (j == 0) : DP[i - 2][j]) && pd[i][k - j])r = max(r, i + c[j] - 1);
}
if(s[i] != '.'){
ret += s[i];
continue;
}
if(i <= r){
bool ok = 0;
for(int j = 0; j <= k; j++){
if(s[i] != 'X' && DP[i - 1][j] && PD[i + 1][k - j]){
ok = 1;
break;
}
}
if(ok)ret += '?';
else ret += 'X';
}
else ret += '_';
}
return ret;
}
//void solve() {
//string s;
//int n;
//cin >> s >> n;
//vt<int> c(n);
//for(int i = 0; i < n; i++){
//cin >> c[i];
//}
//cout << solve_puzzle(s, c);
//}
//int main() {
//ios_base::sync_with_stdio(0);
//cin.tie(0);
//int times = 1;
////cin >> times;
//for(int i = 1; i <= times; i++) {
//solve();
//}
//return 0;
//}
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