This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
ID: varunra2
LANG: C++
TASK: paint
*/
#include <bits/stdc++.h>
#include "paint.h"
using namespace std;
#ifdef DEBUG
#include "lib/debug.h"
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define debug_arr(...) \
cerr << "[" << #__VA_ARGS__ << "]:", debug_arr(__VA_ARGS__)
#pragma GCC diagnostic ignored "-Wsign-compare"
//#pragma GCC diagnostic ignored "-Wunused-parameter"
//#pragma GCC diagnostic ignored "-Wunused-variable"
#else
#define debug(...) 42
#endif
#define EPS 1e-9
#define IN(A, B, C) assert(B <= A && A <= C)
#define INF (int)1e9
#define MEM(a, b) memset(a, (b), sizeof(a))
#define MOD 1000000007
#define MP make_pair
#define PB push_back
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define x first
#define y second
const double PI = acos(-1.0);
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef map<int, int> MPII;
typedef multiset<int> MSETI;
typedef set<int> SETI;
typedef set<string> SETS;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<string> VS;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto& a : x)
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef vector<int> vi;
#pragma GCC diagnostic ignored "-Wsign-compare"
// util functions
const char black = 'X';
const char white = '_';
const int maxn = (int)2e5 + 3;
const int maxk = 103;
bool dp[maxn][maxk][2][2];
string solve_puzzle(string s, VI c) {
int n = sz(s);
int k = sz(c);
s = '*' + s;
c.insert(c.begin(), 69420); // padding
MEM(dp, false);
int lst = 0, fst = n + 1;
dp[0][0][0][0] = true;
dp[n + 1][k + 1][1][0] = true;
for (int i = 1; i <= n; i++) {
if (s[i] != black) {
dp[i][0][0][0] = dp[i - 1][0][0][0];
for (int j = 1; j <= k; j++) {
dp[i][j][0][0] = dp[i - 1][j][0][0] or
((lst < i - c[j]) and dp[i - c[j] - 1][j - 1][0][0]);
}
}
if (s[i] != white) {
for (int j = 1; j <= k; j++) {
dp[i][j][0][1] = (lst <= i - c[j]) and dp[i - c[j]][j - 1][0][0];
}
}
if (s[i] == white) lst = i;
}
for (int i = n; i; i--) {
if (s[i] != black) {
dp[i][k + 1][1][0] = dp[i + 1][k + 1][1][0];
for (int j = 1; j <= k; j++) {
dp[i][j][1][0] = dp[i + 1][j][1][0] or
((fst > i + c[j]) and dp[i + c[j] + 1][j + 1][1][0]);
}
}
if (s[i] != white) {
for (int j = 1; j <= k; j++) {
dp[i][j][1][1] = (i + c[j] <= fst) and dp[i + c[j]][j + 1][1][0];
}
}
if (s[i] == white) fst = i;
}
VI mkb(n), mkw(n);
for (int i = 1; i <= n; i++) {
mkb[i - 1] = mkw[i - 1] = 0;
int mx = 0;
for (int j = 1; j <= k; j++) {
if (dp[i][j][0][0] and (dp[i][j + 1][1][0] or dp[i + 1][j + 1][1][1]))
mkw[i - 1] = 1;
if (dp[i][j][0][1] and dp[i + 1][j + 1][1][0]) mx = max(mx, c[j]);
}
if (dp[i][0][0][0] and (dp[i + 1][1][1][0] or dp[i + 1][1][1][1]))
mkw[i - 1] = 1;
for (int j = i; j > i - mx; j--) mkb[j - 1] = 1;
}
string ret = "";
for (int i = 0; i < n; i++) {
if (mkb[i] and mkw[i])
ret.append(1, '?');
else if (mkw[i])
ret.append(1, white);
else
ret.append(1, black);
}
return ret;
}
// int main() {
// #ifndef ONLINE_JUDGE
// freopen("paint.in", "r", stdin);
// freopen("paint.out", "w", stdout);
// #endif
// cin.sync_with_stdio(0);
// cin.tie(0);
// int n;
// cin >> n;
// string s;
// cin >> s;
// int k;
// cin >> k;
// VI vals(k);
// for (int i = 0; i < k; i++) {
// cin >> vals[i];
// }
// cout << solve_puzzle(s, vals) << '\n';
// return 0;
// }
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