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 optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;
#ifndef WAIMAI
#include "paint.h"
#endif
#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second
const int SIZE = 2e5 + 5;
const int MAX = 105;
int n, k;
string ans;
int pre[SIZE], x[SIZE], y[SIZE];
bitset<SIZE> L[2][MAX], R[2][MAX];
string solve_puzzle(string s, vector<int> c) {
n = s.size();
k = c.size();
ans.resize(n, '?');
FOR (i, 0, n - 1) pre[i] = (i ? pre[i - 1] : 0) + (s[i] == '_');
auto sum = [&](int l, int r) {
return pre[r] - (l ? pre[l - 1] : 0);
};
FOR (i, 0, k) FOR (j, 0, n - 1) {
if (s[j] != 'X') L[0][i][j] = (i == 0 || j > 0) && (j == 0 || L[0][i][j - 1] || L[1][i][j - 1]);
if (i > 0 && j >= c[i - 1] - 1 && sum(j - c[i - 1] + 1, j) == 0) L[1][i][j] = (i == 1 && j == c[i - 1] - 1) || (j >= c[i - 1] && L[0][i - 1][j - c[i - 1]]);
}
for (int i = k + 1; i >= 1; i--) for (int j = n - 1; j >= 0; j--) {
if (s[j] != 'X') R[0][i][j] = (i == k + 1 || j < n - 1) && (j == n - 1 || R[0][i][j + 1] || R[1][i][j + 1]);
if (i <= k && j + c[i - 1] <= n && sum(j, j + c[i - 1] - 1) == 0) R[1][i][j] = (i == k && j + c[i - 1] == n) || (j + c[i - 1] < n && R[0][i + 1][j + c[i - 1]]);
}
FOR (i, 0, k) FOR (j, 0, n - 1) {
if (i >= 1 && L[1][i][j] && ((i == k && j == n - 1) || (j < n - 1 && R[0][i + 1][j + 1]))) {
x[j - c[i - 1] + 1]++;
x[j + 1]--;
}
if (L[0][i][j] && R[0][i + 1][j]) y[j] = 1;
}
FOR (i, 0, n - 1) {
if (!x[i]) ans[i] = '_';
if (!y[i]) ans[i] = 'X';
x[i + 1] += x[i];
}
return ans;
}
/*
in1
..........
2 3 4
out1
??X???XX??
in2
........
2 3 4
out2
XXX_XXXX
in3
..._._....
1 3
out3
???___????
in4
.X........
1 3
out4
?XX?______
*/
#ifdef WAIMAI
const int S_MAX_LEN = 200 * 1000;
char buf[S_MAX_LEN + 1];
int main() {
assert(1 == scanf("%s", buf));
string s = buf;
int c_len;
assert(1 == scanf("%d", &c_len));
vector<int> c(c_len);
for (int i = 0; i < c_len; i++) {
assert(1 == scanf("%d", &c[i - 1]));
}
string ans = solve_puzzle(s, c);
printf("%s\n", ans.data());
return 0;
}
#endif
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