This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// M
#include<bits/stdc++.h>
#include "paint.h"
using namespace std;
const int N = 200005, K = 109;
int n, k, C[N], W[N], dp[N][K], pd[N][K], CW[N], CB[N], NW[N];
string S;
string solve_puzzle(string _S, vector< int > _C)
{
n = (int)_S.size();
k = (int)_C.size();
S = "_" + _S;
for (int i = 1; i <= k; i ++)
C[i] = _C[i - 1];
for (int i = 1; i <= n; i ++)
W[i] = W[i - 1] + (S[i] == '_');
int last = n;
while (last && S[last] != 'X')
last --;
last = max(last, 1);
int first = 1;
while (first <= n && S[first] != 'X')
first ++;
first = min(first, n);
for (int j = 1; j <= k; j ++)
for (int i = C[j]; i <= n; i ++)
if (W[i] - W[i - C[j]] == 0)
{
if (j == 1)
{
if (first > i - C[j])
dp[i][j] = 1;
}
else if (i > C[j] && S[i - C[j]] != 'X' && dp[i - C[j] - 1][j - 1])
dp[i][j] = 1;
}
for (int j = k; j; j --)
for (int i = n - C[j] + 1; i; i --)
if (W[i + C[j] - 1] - W[i - 1] == 0)
{
if (j == k)
{
if (last < i + C[j])
pd[i][j] = 1;
}
else if (i <= n - C[j] && S[i + C[j]] != 'X' && pd[i + C[j] + 1][j + 1])
pd[i][j] = 1;
}
for (int j = 1; j <= k; j ++)
for (int i = n; i; i --)
if (S[i] != 'X')
pd[i][j] |= pd[i + 1][j];
for (int j = 1; j < k; j ++)
for (int i = 1; i <= n; i ++)
if (dp[i][j] && S[i + 1] != 'X' && pd[i + 2][j + 1])
CB[i - C[j] + 1] ++, CB[i + 1] --;
for (int i = last; i <= n; i ++)
if (dp[i][k])
CB[i - C[k] + 1] ++, CB[i + 1] --, CW[i + 1] ++;
for (int j = 1; j <= k; j ++)
for (int i = 1; i <= n; i ++)
if (S[i] != 'X')
dp[i][j] |= dp[i - 1][j];
for (int j = 1; j < k; j ++)
for (int i = 1; i <= n; i ++)
if (S[i] != 'X' && dp[i - 1][j] && pd[i + 1][j + 1])
CW[i] ++, CW[i + 1] --;
for (int i = 1; i <= first; i ++)
if (pd[i][1])
CW[1] ++, CW[i] --;
string Rs;
for (int i = 1; i <= n; i ++)
{
CW[i] += CW[i - 1];
CB[i] += CB[i - 1];
if (CB[i] && CW[i])
Rs += "?";
else if (CB[i])
Rs += "X";
else
Rs += "_";
}
return Rs;
}
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