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"
using namespace std;
string solve_puzzle(string s, vector<int> c) {
int n = s.size(), k = c.size();
s = "$" + s;
vector<int> white(n+2, 0), black(n+2, 0);
for (int i = 1; i <= n+1; i++){
white[i] = white[i-1] + (s[i] == '_');
black[i] = black[i-1] + (s[i] == 'X');
}
reverse(c.begin(), c.end());
c.push_back(-1);
reverse(c.begin(), c.end());
vector<vector<bool> > pref(n+3, vector<bool>(k+2, 0));
vector<vector<bool> > suf(n+3, vector<bool>(k+2, 0));
for (int i = 0; i <= n+2; i++){
pref[i][0] = black[i] == 0;
suf[i][k+1] = black[n] == black[i - 1];
}
for (int i = 1; i <= n; i++)
for (int j = 1; j <= k; j++){
if (s[i] != 'X')
pref[i][j] = pref[i-1][j];
if (i >= c[j] and white[i] == white[i-c[j]]){
if (i == c[j]){
if (j == 1)
pref[i][j] = true;
}
else
pref[i][j] = pref[i][j] | pref[i-c[j]-1][j-1];
}
}
for (int i = n; i >= 1; i--)
for (int j = 1; j <= k; j++){
if (s[i] != 'X')
suf[i][j] = suf[i+1][j];
if (i + c[j] <= n+1 and white[i+c[j]-1] == white[i-1]){
if (j == k)
suf[i][j] = true;
else
suf[i][j] = suf[i][j] | suf[i+c[j]+1][j+1];
}
}
//put white
vector<int> answer(n+1, 0);
for (int i = 1; i <= n; i++)
if (s[i] == '.'){
for (int j = 1; j <= k+1; j++)
if (pref[i-1][j-1] and suf[i+1][j]){
answer[i] |= 1;
break;
}
}
//put black
for (int i = 1; i <= n; i++)
if (s[i] == '.')
for (int j = 1; j <= k; j++){
for (int h = max(i+c[j]-n,1); h <= min(i, c[j]); h++){
if (white[i + c[j] - h] != white[i - h])
continue;
if (i - h >= 1 and s[i-h] == 'X')
continue;
if (i + c[j] - h + 1 <= n and s[i + c[j] - h + 1] == 'X')
continue;
if (i - h == 0){
if (j == 1 and suf[i+c[j]-h+2][j+1])
answer[i] |= 2;
continue;
}
if (pref[i - h - 1][j-1] and suf[i+c[j]-h+2][j+1])
answer[i] |= 2;
}
}
string result;
for (int i = 1; i <= n; i++){
if (s[i] == '.'){
if (answer[i] == 1)
result += '_';
else if(answer[i] == 2)
result += 'X';
else
result += '?';
}
else
result += s[i];
}
return result;
}
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