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;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)
const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};
void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;
template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "["; REP(i, U) out << v[i] << ", "; out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;}
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
std::string solve_puzzle(std::string s, std::vector<int> c) {
int k = c.size();
int n = (int)s.length();
vector<vector<int>> dp(k, vector<int>(n + 1, 0));
vector<vector<int>> new_dp(k, vector<int>(n + 1, 0));
auto solve_dp = [&](string ts) -> bool{
REP(i, k) fill(all(dp[i]), 0);
REP(i, k) fill(all(new_dp[i]), 0);
int max_suf = n;
REPD(i, n - 1){
if(ts[i] == 'X')
break;
max_suf = i;
}
dp[0][0] = 1;
bool can = false;
REP(i, n){
REP(j, k){
REP(g, c[j] + 1){
if(dp[j][g] != 1)
continue;
if(ts[i] == 'X' || ts[i] == '.'){
if(g != c[j])
new_dp[j][g + 1] = 1;
}
if(ts[i] == '_' || ts[i] == '.'){
if(g == c[j] && j != k - 1)
new_dp[j + 1][0] = 1;
if(g == 0)
new_dp[j][0] = 1;
}
}
}
if(new_dp[k - 1][c[k - 1]] && i + 1 >= max_suf)
can = true;
dp.swap(new_dp);
REP(j, k){
REP(g, c[j] + 1){
new_dp[j][g] = 0;
}
}
}
return can;
};
string ns = s;
string ans(n, '?');
REP(i, n){
if(s[i] == 'X')
ans[i] = 'X';
else if(s[i] == '_')
ans[i] = '_';
else{
ns[i] = 'X';
bool canx = solve_dp(ns);
ns[i] = '_';
bool cany = solve_dp(ns);
ns[i] = s[i];
if(canx && !cany)
ans[i] = 'X';
else if(cany && !canx)
ans[i] = '_';
}
}
return ans;
}
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