#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> P;
typedef pair<ll, ll> Pll;
using Graph = vector<vector<int>>;
using Graphl = vector<vector<ll>>;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define Rep(i, k, n) for (int i = k; i < (int)(n); i++)
#define RRep(i, k, n) for (int i = k; i > (int)(n); i--)
#define FOR(itr, v) for (auto itr = (v).begin(); itr != (v).end(); ++itr)
#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl
#define ALL(a)  (a).begin(),(a).end()
#define rALL(a)  (a).rbegin(),(a).rend()
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<class T> void PrintVector(const vector<T> &vec) {for (auto val : vec) cout << val << " "; cout << endl;}
const long long INF = 1LL << 60;
const long long minusINF = -(1LL << 40);
const int MOD = 1000000007;
const double PI = acos(-1); //3.14~
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};

vector<pair<long long, long long> > prime_factorize(long long n) {
    vector<pair<long long, long long> > res;
    for (long long p = 2; p * p <= n; ++p) {
        if (n % p != 0) continue;
        int num = 0;
        while (n % p == 0) { ++num; n /= p; }
        res.push_back(make_pair(p, num));
    }
    if (n != 1) res.push_back(make_pair(n, 1));
    return res;
}

const int MAX = 210000;

long long fac[MAX], finv[MAX], inv[MAX];
void COMinit(){
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for(int i = 2; i < MAX; i++){
        fac[i] = fac[i-1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD/i) % MOD;
        finv[i] = finv[i-1] * inv[i] % MOD;
    }
}
long long COM(int n, int k){
    if(n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n-k] % MOD) % MOD;
}

int main()
{
    int n, m; cin >> n >> m;
    COMinit();
    auto vec = prime_factorize(m);
    ll ans = 1;
    for (auto pa : vec)
    {
        int num = pa.second;
        ll tmp = COM(num + n - 1, num);
        ans = (ans * tmp) % MOD;
    }
    cout << ans << endl;
}
#include <bits/stdc++.h>
#include <iomanip>
#include <math.h>
#include <unistd.h>
#include <stdio.h>
#define all(a) (a).begin(),(a).end()
#define vecin(a) rep(i,a.size())cin >> a[i]
#define vecout(a) rep(i,a.size()){cout << a[i];cout << (i == a.size() - 1 ? "\n":" ");}
#define rep(i,x) for(int i = 0;i<x;i++)
#define REP(i,x) for(int i = 1;i<=x;i++)
#define mp make_pair
using ll = long long;
using ld = long double;
using namespace std;
using dou = double;
const ll inf = 2147483647;
const ll INF = 1LL << 60;
const dou pi = 3.14159265358;
//const ll mod = 1000000007LL;
const ll mod = 998244353LL;
typedef pair<ll,ll> P;
using graph = vector<vector<ll>>;
template<class T> inline bool chmax(T& a, T b){if(a < b){a = b; return true;}return false;}
template<class T> inline bool chmin(T& a, T b){if(a > b){a = b; return true;}return false;}
template<class T> inline bool change(T a,T b){if(a > b){swap(a,b);return true;}return false;}
ll gcd(ll a,ll b){
    if(a < b)swap(a,b);
    if(a % b == 0)return b;
    else return gcd(b,a%b);
}
ll lcm(ll a,ll b){
    return a / gcd(a,b) * b;
}

//素数判定O(sqrt(N))
bool isp(ll n){
    bool res = true;
    if(n == 1)return false;
    else{
        for(ll i = 2;i * i <= n;i++){
            if(n % i == 0){
                res = false;
                break;
            }
        }
        return res;
    }
}
const ll cmax = 1000000;
ll fac[cmax], finv[cmax], inv[cmax];

// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (ll i = 2; i < cmax; i++){
        fac[i] = fac[i - 1] * i % mod;
        inv[i] = mod - inv[mod%i] * (mod / i) % mod;
        finv[i] = finv[i - 1] * inv[i] % mod;
    }
}

// 二項係数計算
ll nCk(ll n, ll k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}
//nのm乗をMODで割ったあまりO(logm)
ll modpow(ll n,ll m,ll MOD){
    if(m == 0)return 1;
    if(m < 0)return -1;
    ll res = 1;
    while(m){
        if(m & 1)res = (res * n) % MOD;
        m >>= 1;
        n *= n;
        n %= MOD;
    }
    return res;
}
ll mypow(ll n,ll m){
    if(m == 0)return 1;
    if(m < 0)return -1;
    ll res = 1;
    while(m){
        if(m & 1)res = (res * n);
        m >>= 1;
        n *= n;
    }
    return res;
}
//printf("%.10f\n", N);
/*  vector<ll> vec = {1,2,5,6,8,9,10};
    cout << binary_search(all(vec),5) << endl; -> true*/
/*
    vector<ll> vec = {1,2,5,6,8,9,10};
    auto n = upper_bound(all(vec),4);
    cout << *n << endl; -> 5*/
 
//    cout << fixed << setprecision(15);


int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    ll N,M;
    cin >> N >> M;
    swap(N,M);
    vector<ll> vec(N);
    ll up = 0,wa = 0;
    rep(i,N){
        cin >> vec[i];
        wa += vec[i];
        chmax(up,vec[i]);
    }
    if(N == 1){
        cout << vec[0] - 1 << "\n";
        return 0;
    }
    wa -= up;
    if(up + 1 <= wa){
        cout << "0\n";
        return 0;
    }
    else{
        cout << up - wa - 1 << endl;
    }
}