This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//雪花飄飄北風嘯嘯
//天地一片蒼茫
#include "paint.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << " is " << x << endl
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound
#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int n,k;
string s;
vector<int> arr;
int pd[200005];
int ax[200005];
bool f[200005][105];
bool b[200005][105];
bool blank[200005];
int cx[200005];
std::string solve_puzzle(std::string S, std::vector<int> C) {
s=S,arr=C;
n=sz(s),k=sz(arr);
rep(x,0,n){
if (s[x]=='X') ax[x+1]=1;
else if (s[x]=='_') pd[x+1]=1;
}
rep(x,1,n+1) pd[x]+=pd[x-1];
f[0][0]=true;
rep(x,1,n+1){
if (ax[x]) continue;
rep(y,0,k){
f[x][y]|=f[x-1][y];
if (x-arr[y]-1>=0 && f[x-arr[y]-1][y] && pd[x-1]-pd[x-arr[y]-1]==0) f[x][y+1]=true;
}
f[x][k]|=f[x-1][k];
}
b[n+1][k]=true;
rep(x,n+1,1){
if (ax[x]) continue;
rep(y,k,0){
b[x][y+1]|=b[x+1][y+1];
if (x+arr[y]+1<=n+1 && b[x+arr[y]+1][y+1] && pd[x+arr[y]]-pd[x]==0) b[x][y]=true;
}
b[x][0]|=b[x+1][0];
}
rep(x,1,n+1) rep(y,0,k+1) if (f[x][y] && b[x][y]) blank[x]=true;
rep(x,0,n+1) rep(y,0,k){
int nxt=x+arr[y];
if (nxt+1<=n+1 && f[x][y] && b[nxt+1][y+1] && pd[nxt]-pd[x]==0) cx[x+1]++,cx[nxt+1]--;
}
rep(x,1,n+1) cx[x]+=cx[x-1];
//rep(x,1,n+1) cout<<blank[x]<<" "; cout<<endl;
//rep(x,1,n+1) cout<<cx[x]<<" "; cout<<endl;
string ans;
rep(x,1,n+1){
if (blank[x] && cx[x]) ans+="?";
else if (blank[x]) ans+="_";
else ans+="X";
}
return ans;
}
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