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>
#define fr first
#define sc second
#define pb push_back
#define mk make_pair
#define all(s) s.begin(), s.end()
using namespace std;
const int N = 2e5 + 5;
string ans;
int k, pref[N][105], suf[N][105], n, cnt[N], fl[N], p[N];
string solve_puzzle(string s, vector<int> c) { c.insert(c.begin(), 0);
n = s.size(); k = c.size() - 1;
s = ' ' + s;
pref[0][0] = 1;
for (int i = 1; i <= n; i++) {
cnt[i] = cnt[i - 1] + (s[i] == '_');
}
for (int i = 1; i <= n; i++) {
if (s[i] == '_') {
for (int j = 0; j <= k; j++) {
pref[i][j] = pref[i - 1][j];
}
} else if (s[i] == 'X') {
for (int j = 1; j <= k; j++) {
if (i >= c[j] && cnt[i] - cnt[i - c[j]] == 0) {
if (j == 1) {
pref[i][j] = pref[i - c[j]][j - 1];
} else if (i >= c[j] + 1 && s[i - c[j]] != 'X') {
pref[i][j] = pref[i - c[j] - 1][j - 1];
}
}
}
} else {
for (int j = 0; j <= k; j++) {
pref[i][j] = pref[i - 1][j];
if (j > 0 && i >= c[j] && cnt[i] - cnt[i - c[j]] == 0) {
if (j == 1) {
pref[i][j] |= pref[i - c[j]][j - 1];
} else if (i >= c[j] + 1 && s[i - c[j]] != 'X') {
pref[i][j] |= pref[i - c[j] - 1][j - 1];
}
}
}
}
}
suf[n + 1][0] = 1;
for (int i = n; i >= 1; i--) {
if (s[i] == '_') {
for (int j = 0; j <= k; j++) {
suf[i][j] = suf[i + 1][j];
}
} else if (s[i] == 'X') {
for (int j = 1; j <= k; j++) {
if (n - i + 1 >= c[k - j + 1] && cnt[i + c[k - j + 1] - 1] - cnt[i - 1] == 0) {
if (j == 1) {
suf[i][j] = suf[i + c[k - j + 1]][j - 1];
} else if (n - i + 1 >= c[k - j + 1] + 1 && s[i + c[k - j + 1]] != 'X') {
suf[i][j] = suf[i + c[k - j + 1] + 1][j - 1];
}
}
}
} else {
for (int j = 0; j <= k; j++) {
suf[i][j] = suf[i + 1][j];
if (j > 0 && n - i + 1 >= c[k - j + 1] && cnt[i + c[k - j + 1] - 1] - cnt[i - 1] == 0) {
if (j == 1) {
suf[i][j] |= suf[i + c[k - j + 1]][j - 1];
} else if (n - i + 1 >= c[k - j + 1] + 1 && s[i + c[k - j + 1]] != 'X') {
suf[i][j] |= suf[i + c[k - j + 1] + 1][j - 1];
}
}
}
}
}
for (int i = 1; i <= n; i++) {
if (s[i] == 'X') continue;
for (int j = 0; j <= k; j++) {
if (pref[i - 1][j] && suf[i + 1][k - j]) {
fl[i] = 1;
break;
}
}
}
for (int i = 1; i <= n; i++) {
if (s[i - 1] == 'X') continue;
for (int j = 1; j <= k; j++) {
if (i + c[j] - 1 > n || cnt[i + c[j] - 1] - cnt[i - 1] > 0) continue;
if (k == 1) {
if (i + c[j] - 1 <= n && pref[i - 1][j - 1] && suf[i + c[j]][k - j]){
p[i]++; p[i + c[j]]--;
}
} else {
if (j == 1 && i + c[j] <= n && pref[i - 1][j - 1] && suf[i + c[j] + 1][k - j]) {
p[i]++; p[i + c[j]]--;
} else if (j == k && i >= 2 && i + c[j] - 1 <= n && pref[i - 2][j - 1] && suf[i + c[j]][k - j]) {
p[i]++; p[i + c[j]]--;
} else if (j > 1 && j < k && i >= 2 && i + c[j] <= n && pref[i - 2][j - 1] && suf[i + c[j] + 1][k - j]) {
p[i]++; p[i + c[j]]--;
}
}
}
}
for (int i = 1; i <= n; i++) {
p[i] += p[i - 1];
if (s[i] == 'X')
ans += 'X';
else if (s[i] == '_')
ans += '_';
else {
if (fl[i] && p[i])
ans += '?';
else if (fl[i])
ans += '_';
else
ans += 'X';
}
}
return ans;
}
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