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 <bits/stdc++.h>
#include "paint.h"
#define F first
#define S second
#define P push
#define pb push_back
#define MEM(dp,i) memset(dp,i,sizeof(dp))
#define W while
#define R return
#define C continue
#define SI size()
#define ll long long
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define SF(x) scanf("%I64d",&x)
#define SF2(x,y) scanf("%I64d%I64d",&x,&y)
#define SF3(x,y,z) scanf("%I64d%I64d%I64d",&x,&y,&z)
#define SF4(x,y,z,o) scanf("%I64d%I64d%I64d%I64d",&x,&y,&z,&o)
#define all(v) v.begin(),v.end()
using namespace std;
const long long INF = 1e15;
const int MX=200015;
vector<int> c;
string s;
int pr[MX];
int prb[MX];
int k,n;
int dp[MX][115];
int seg(int x,int y){
if(x>y)R 0;
int ret=pr[y];
if(x)ret-=pr[x-1];
R ret;
}
int segb(int x,int y){
if(x>y)R 0;
int ret=prb[y];
if(x)ret-=prb[x-1];
R ret;
}
int w[MX];
int b[MX];
int DP(int x,int y){
if(y==k&&segb(x,n-1)){R 0;}
if(y==k){w[x]++;R 1;}
if(x>=n)R 0;
int &ret=dp[x][y];
if(ret!=-1)R ret;
ret=0;
if(s[x]!='X'){
ret=DP(x+1,y);
if(DP(x+1,y)){
w[x]++;
w[x+1]--;
}
}
if(x+c[y]-1<n&&(x+c[y]==n||s[x+c[y]]!='X')&&seg(x,x+c[y]-1)==0){
ret=max(ret,DP(x+c[y]+1,y+1));
if(DP(x+c[y]+1,y+1)){
w[x+c[y]]++;
w[x+c[y]+1]--;
b[x]++;
b[x+c[y]]--;
}
}
// cout<<x<<" "<<y<<" "<<ret<<endl;
R ret;
}
string solve_puzzle(string s_, vector<int> c_) {
s=s_;
c=c_;
n=s.SI;
k=c.SI;
MEM(dp,-1);
pr[0]=(s[0]=='_');
for(int i=1;i<n;i++){
pr[i]=pr[i-1]+(s[i]=='_');
// cout<<pr[i];
}
prb[0]=(s[0]=='X');
for(int i=1;i<n;i++){
prb[i]=prb[i-1]+(s[i]=='X');
}
DP(0,0);
for(int i=1;i<n;i++){
b[i]+=b[i-1];
w[i]+=w[i-1];
}
string res="";
for(int i=0;i<n;i++){
if(b[i]&&w[i]){
res+='?';
}
else if(b[i]){
res+='X';
}
else{
res+='_';
}
}
return res;
}
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