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#include <bits/stdc++.h>
using namespace std;
#if DEBUG && !ONLINE_JUDGE
#define debug(args...) (Debugger()) , args
class Debugger {
    public:
        Debugger(const string sep = " | ") : first(1), sep(sep) {}
        template <typename T> Debugger& operator , (const T& arg) {
            if (first) first = false;
            else cerr << sep;

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# Extracted from https://www.kaggle.com/danbrice/keras-plot-history-full-report-and-grid-search
import matplotlib.pyplot as plt
def plot_history(history):
    loss_list = [s for s in history.history.keys() if 'loss' in s and 'val' not in s]
    val_loss_list = [s for s in history.history.keys() if 'loss' in s and 'val' in s]
    acc_list = [s for s in history.history.keys() if 'acc' in s and 'val' not in s]
    val_acc_list = [s for s in history.history.keys() if 'acc' in s and 'val' in s]
    
    if len(loss_list) == 0:
        print('Loss is missing in history')

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// http://codeforces.com/blog/entry/53170
#include <bits/stdc++.h>
using namespace std;
#define N 100005
#define eb emplace_back

int n, u, v, q;
int sz[N], in[N], rin[N], out[N], chain[N], t;
vector <int> adj[N];

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#include <bits/stdc++.h>

#define _ ios_base::sync_with_stdio(0);
#define endl '\n'

using namespace std;

#define inf ((int)1e9)

typedef pair <int, int> base;

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// Erdős–Gallai theorem
// Gives a necessary and sufficient condition for a finite sequence 
// of natural numbers to be the degree sequence of a simple graph.
// Must be sorted in non-increasing order.
// Popularidade no Facebook: https://www.urionlinejudge.com.br/judge/pt/problems/view/1462

#include<bits/stdc++.h>
using namespace std;

#define int long long

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// http://codeforces.com/group/kZPk3ZTzR5/contest/101041/problem/D
// Nome do problema: Investigating the cartel
// Descrição: Quantos elementos com frequência maior que 1 no intervalo

// https://www.codepit.io/#/problems/5369c356f6fa9de49e5c7fa3/view
// Nome do problema: D-query
// Descrição: Quantos elementos diferentes no intervalo

// Resolve consultas em O((N+Q)*sqrt(N)+Q*log(Q))
#include <bits/stdc++.h>

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#include <bits/stdc++.h>
using namespace std;
#define N 1000

bool hasDigitRegex(string& s) {
    return regex_search(s, regex("[0-9]"));
}

bool hasDigitNormal(string& s) {
    for (int i = 0; i < (int)s.size(); i++) {

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from random import randint
CPU_FACIL = "CPU (fácil)"
CPU_DIFICIL = "CPU (difícil)"
jogador = ["", ""]
simbolo = ["X", "O"]

def mostraTelaJogo(raw_tabuleiro):
    print("-----------------")
    print("{} vs {}".format(jogador[0], jogador[1]))
    tabuleiro = [x if x else " " for x in raw_tabuleiro]