1754D - Factorial Divisibility - CodeForces Solution


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Python Code:

from collections import defaultdict as dd
from collections import deque
import bisect
import heapq

def ri():
    return int(input())

def rl():
    return list(map(int, input().split()))



def solve():
    n, x = rl()
    A = rl()
    copies = dd(int)
    for a in A:    
        if a >= x: continue
        copies[a] += 1
    
    curr = x - 1 
    need = 0
    factor = x
    
    while curr >= 1:
        if need == 0 and copies[curr] != 0:
            need = factor

        if need > n:
            print ("No")
            return

        if need != 0:
            if need >= copies[curr]:
                need -= copies[curr]
            else:
                need = (need-copies[curr]) % factor
        
        need *= curr
            
        if factor <= n * 1000000:
            factor *= curr
        curr -= 1

    if need == 0:
        print ("Yes")
    else:
        print ("No")

mode = 's'

if mode == 'T':
    t = ri()
    for i in range(t):
        solve()
else:
    solve()

C++ Code:

#include<bits/stdc++.h>
using namespace std;
int a[1000009];
int main () {
    int n, m, ans = 1;
    cin >> n >> m;
    int b[n];
    for (int i = 0; i < n; i++) {
            cin >> b[i];
            a[b[i]]++;
            if (b[i] < m) ans = 0;
    }
    if (ans) cout << "Yes";
    else {
            ans = 1;
            for (int i = 1; i < m; i++) {
                    if ((a[i]%(i+1)) == 0) {
                            a[i+1] += (a[i]/(i+1));
                            continue;
                    }
                    else {
                            ans = 0;
                            break;
                    }
            }
            if (ans) cout << "Yes";
            else cout << "No";
    }
}

				   			  	   	 			 	  		 	


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