Dadas dos arrays: arr1[0..m-1] y arr2[0..n-1]. Encuentra si arr2[] es un subconjunto de arr1[] o no. Ambas arrays no están ordenadas. Se puede suponer que los elementos de ambas arrays son distintos.
Ejemplos:
Input: arr1[] = {11, 1, 13, 21, 3, 7}, arr2[] = {11, 3, 7, 1}
Output: arr2[] is a subset of arr1[]
Input: arr1[] = {1, 2, 3, 4, 5, 6}, arr2[] = {1, 2, 4}
Output: arr2[] is a subset of arr1[]
Input: arr1[] = {10, 5, 2, 23, 19}, arr2[] = {19, 5, 3}
Output: arr2[] is not a subset of arr1[]
Enfoque simple: un enfoque simple es ejecutar dos bucles anidados. El bucle exterior recoge todos los elementos de B[] uno por uno. El ciclo interno busca linealmente el elemento elegido por el ciclo externo en A[]. Si se encuentran todos los elementos, imprima Sí, de lo contrario imprima No. Puede consultar la solución aquí .
Enfoque eficiente: cree un mapa para almacenar la frecuencia de cada número distinto presente en A[]. Luego verificaremos si cada número de B[] está presente en el mapa o no. Si está presente en el mapa, disminuiremos el valor de frecuencia para ese número en uno y buscaremos el siguiente número. Si el valor del mapa para cualquier número se convierte en cero, lo borraremos del mapa. Si no se encuentra ningún número de B[] en el mapa, estableceremos el valor de la bandera, romperemos los bucles e imprimiremos No. De lo contrario, imprimiremos Sí.
C++
// C++ program to check if an array is
// subset of another array
#include <bits/stdc++.h>
using namespace std;
// Function to check if an array is
// subset of another array
int isSubset(int a[], int b[], int m, int n)
{
// map to store the values of array a[]
map<int, int> mp1;
for (int i = 0; i < m; i++)
mp1[a[i]]++;
// flag value
int f = 0;
for (int i = 0; i < n; i++) {
// if b[i] is not present in map
// then array b[] can not be a
// subset of array a[]
if (mp1.find(b[i]) == mp1.end()) {
f = 1;
break;
}
// if if b[i] is present in map
// decrement by one
else {
mp1[b[i]]--;
if (mp1[b[i]] == 0)
mp1.erase(mp1.find(b[i]));
}
}
return f;
}
// Driver code
int main()
{
int arr1[] = { 11, 1, 13, 21, 3, 7 };
int arr2[] = { 11, 3, 7, 1 };
int m = sizeof(arr1) / sizeof(arr1[0]);
int n = sizeof(arr2) / sizeof(arr2[0]);
if (!isSubset(arr1, arr2, m, n))
cout<<"arr2[] is subset of arr1[] ";
else
cout<<"arr2[] is not a subset of arr1[]";
return 0;
}
Java
// Java program to check if an array is
// subset of another array
import java.util.*;
class GFG
{
// Function to check if an array is
// subset of another array
static int isSubset(int a[], int b[], int m, int n)
{
// map to store the values of array a[]
HashMap<Integer, Integer> mp1 = new
HashMap<Integer, Integer>();
for (int i = 0; i < m; i++)
if (mp1.containsKey(a[i]))
{
mp1.put(a[i], mp1.get(a[i]) + 1);
}
else
{
mp1.put(a[i], 1);
}
// flag value
int f = 0;
for (int i = 0; i < n; i++)
{
// if b[i] is not present in map
// then array b[] can not be a
// subset of array a[]
if (!mp1.containsKey(b[i]))
{
f = 1;
break;
}
// if if b[i] is present in map
// decrement by one
else
{
mp1.put(b[i], mp1.get(b[i]) - 1);
if (mp1.get(b[i]) == 0)
mp1.remove(b[i]);
}
}
return f;
}
// Driver code
public static void main(String[] args)
{
int arr1[] = { 11, 1, 13, 21, 3, 7 };
int arr2[] = { 11, 3, 7, 1 };
int m = arr1.length;
int n = arr2.length;
if (isSubset(arr1, arr2, m, n)!=1)
System.out.print("arr2[] is subset of arr1[] ");
else
System.out.print("arr2[] is not a subset of arr1[]");
}
}
// This code is contributed by Rajput-Ji
Python
# Python program to check if an array is
# subset of another array
# Function to check if an array is
# subset of another array
def isSubset(a, b, m, n) :
# map to store the values of array a
mp1 = {}
for i in range(m):
if a[i] not in mp1:
mp1[a[i]] = 0
mp1[a[i]] += 1
# flag value
f = 0
for i in range(n):
# if b[i] is not present in map
# then array b can not be a
# subset of array a
if b[i] not in mp1:
f = 1
break
# if if b[i] is present in map
# decrement by one
else :
mp1[b[i]] -= 1
if (mp1[b[i]] == 0):
mp1.pop(b[i])
return f
# Driver code
arr1 = [11, 1, 13, 21, 3, 7 ]
arr2 = [11, 3, 7, 1 ]
m = len(arr1)
n = len(arr2)
if (not isSubset(arr1, arr2, m, n)):
print("arr2[] is subset of arr1[] ")
else:
print("arr2[] is not a subset of arr1[]")
# This code is contributed by Shubhamsingh10
C#
// C# program to check if an array is
// subset of another array
using System;
using System.Collections.Generic;
class GFG
{
// Function to check if an array is
// subset of another array
static int isSubset(int []a, int []b, int m, int n)
{
// map to store the values of array []a
Dictionary<int, int> mp1 = new
Dictionary<int, int>();
for (int i = 0; i < m; i++)
if (mp1.ContainsKey(a[i]))
{
mp1[a[i]] = mp1[a[i]] + 1;
}
else
{
mp1.Add(a[i], 1);
}
// flag value
int f = 0;
for (int i = 0; i < n; i++)
{
// if b[i] is not present in map
// then array []b can not be a
// subset of array []a
if (!mp1.ContainsKey(b[i]))
{
f = 1;
break;
}
// if if b[i] is present in map
// decrement by one
else
{
mp1[b[i]] = mp1[b[i]] - 1;
if (mp1[b[i]] == 0)
mp1.Remove(b[i]);
}
}
return f;
}
// Driver code
public static void Main(String[] args)
{
int []arr1 = {11, 1, 13, 21, 3, 7};
int []arr2 = {11, 3, 7, 1};
int m = arr1.Length;
int n = arr2.Length;
if (isSubset(arr1, arr2, m, n) != 1)
Console.Write("arr2[] is subset of arr1[] ");
else
Console.Write("arr2[] is not a subset of arr1[]");
}
}
// This code is contributed by PrinciRaj1992
Javascript
<script>
// JavaScript program to check if an array is
// subset of another array
// Function to check if an array is
// subset of another array
function isSubset(a, b, m, n) {
// map to store the values of array a[]
let mp = new Map();
for (let i = 0; i < m; i++) {
if (mp.has(a[i])) {
mp.set(a[i], mp.get(a[i]) + 1)
} else {
mp.set(a[i], 1)
}
}
// flag value
let f = 0;
for (let i = 0; i < n; i++) {
// if b[i] is not present in map
// then array b[] can not be a
// subset of array a[]
if (!mp.has(b[i])) {
f = 1;
break;
}
// if if b[i] is present in map
// decrement by one
else {
mp.set(b[i], mp.get(b[i]) - 1);
if (mp.get(b[i]) == 0)
mp.delete(b[i]);
}
}
return f;
}
// Driver code
let arr1 = [11, 1, 13, 21, 3, 7];
let arr2 = [11, 3, 7, 1];
let m = arr1.length;
let n = arr2.length;
if (!isSubset(arr1, arr2, m, n))
document.write("arr2[] is subset of arr1[] ");
else
document.write("arr2[] is not a subset of arr1[]");
// This code is contributed by gfgking
</script>
Producción:
arr2[] is subset of arr1[]
Tiempo Complejidad: O (n)