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Função aleatória em C

Neste tópico aprenderemos sobre a função aleatória e como podemos gerar o número aleatório na linguagem de programação C. Como sabemos, a função aleatória é usada para encontrar o número aleatório entre quaisquer dois números definidos. Na linguagem de programação C, a função aleatória possui duas funções embutidas: função Rand() e função srand(). Vamos entender essas funções na linguagem C.

Função aleatória em C

função rand()

No Linguagem de programação C , a função Rand() é uma função de biblioteca que gera o número aleatório no intervalo [0, RAND_MAX]. Quando usamos a função Rand() em um programa, precisamos implementar o stdlib.h arquivo de cabeçalho porque a função Rand() é definida no arquivo de cabeçalho stdlib. Não contém nenhum número inicial. Portanto, quando executamos o mesmo programa repetidamente, ele retorna os mesmos valores.

Nota: Se os números aleatórios forem gerados com a função Rand() sem chamar a função srand(), ela retornará as mesmas sequências de números cada vez que o programa for executado.

Sintaxe

 int rand (void) 

A função Rand() retorna os inteiros aleatórios cujo intervalo é de 0 a RAND_MAX. O RAND_MAX é uma constante simbólica que define no arquivo de cabeçalho stdlib.h, cujo valor é maior, mas menor que 32767 dependendo das bibliotecas C.

Gere os números aleatórios usando a função Rand()

Vamos escrever um programa para obter o número aleatório usando a função Rand().

se

 #include #include #include void main() { // use rand() function to generate the number printf (' The random number is: %d', rand()); printf ('
 The random number is: %d', rand()); printf (' 
 The random number is: %d', rand()); printf ('
 The random number is: %d', rand()); getch(); } 

Saída

 The random number is: 41 The random number is: 18467 The random number is: 6334 The random number is: 26500 

Gere 5 números aleatórios usando a função Rand()

Vamos considerar um programa para gerar 5 números aleatórios usando a função Rand() na linguagem de programação C.

aleatório.c

 #include #include int main() { int i; /* It returns the same sequence of random number on every execution of the program. */ printf(' Random Numbers are: 
&apos;); for (i = 0; i <5; i++) { printf(' %d', rand()); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Random Numbers are: 41 18467 6334 26500 19169 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Random Numbers are: 41 18467 6334 26500 19169 </pre> <p> <strong>3rd execution of the program</strong> </p> <pre> Random Numbers are: 41 18467 6334 26500 19169 </pre> <p>As we can see in the above output, it returns the same sequence of random numbers on every execution of the programming code.</p> <h3>Generate 10 random numbers from 1 to 100 using rand() function</h3> <p>Let&apos;s consider a program to find the random number in C using rand() function.</p> <p> <strong>rand_num.c</strong> </p> <pre> #include #include #include int main() { // declare the local variables int i, num; printf (&apos; Program to get the random number from 1 to 100 
&apos;); for (i = 1; i <= 100 10; i++) { num="rand()" % + 1; use rand() function to get the random number printf (' %d ', num); getch(); } < pre> <p> <strong>Output</strong> </p> <pre> Program to get the random number from 1 to 100 42 68 35 1 70 25 79 59 63 65 </pre> <h2>srand() function</h2> <p>The srand() function is a C library function that determines the initial point to generate different series of pseudo-random numbers. A srand() function cannot be used without using a rand() function. The srand() function is required to set the value of the seed only once in a program to generate the different results of random integers before calling the rand() function.</p> <h3>Syntax</h3> <pre> int srand (unsigned int seed) </pre> <p> <strong>seed</strong> : It is an integer value that contains a seed for a new sequence of pseudo-random numbers.</p> <h3>Generate the random numbers using srand() function</h3> <p>Let&apos;s write a program to get the random numbers using srand() function in C.</p> <p> <strong>srandNum.c</strong> </p> <pre> #include #include #include // use time.h header file to use time int main() { int num, i; time_t t1; // declare time variable printf(&apos; Enter a number to set the limit for a random number 
&apos;); scanf (&apos; %d&apos;, &amp;num); /* define the random number generator */ srand ( (unsigned) time (&amp;t1)); // pass the srand() parameter printf(&apos;
&apos;); // print the space /* generate random number between 0 to 50 */ for (i = 0; i <num; i++) { printf( '%d 
', rand() % 50); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit for a random number 10 44 32 23 35 6 33 1 4 22 18 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter a number to set the limit for a random number 15 13 30 24 27 4 30 28 35 36 13 44 39 21 5 7 </pre> <p>As we can see in the above Output, it returns different sequences of random numbers on every execution of the programming code.</p> <h3>Generate the random numbers using srand() and time() function</h3> <p>Let&apos;s write a program to get the random numbers using srand() with time() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int random = rand(); // assign the rand() function to random variable srand( time(0)); printf( &apos; Seed = %d&apos;, time(0)); printf( &apos; Random number = %d&apos;, random); return 0; } </pre> <p> <strong>Output</strong> </p> <pre> Seed = 1619450091 Random number = 41 </pre> <h3>Get a seeding value and print the random numbers using srand() function</h3> <p>Let&apos;s write a program to get the seed value and random numbers using srand() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int count; unsigned int seed; // use for randomize number printf(&apos; Enter the Seeding value: 
&apos;); scanf(&apos; %u&apos;, &amp;seed); srand (seed); // pass parameter // generate random number between 1 to 6 for (count = 1; count <= 1 5="=" 10; ++count) { printf(' %5d', + (rand () % 6)); if (count 0) print the number in next line puts(' '); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter the Seeding value: 10 6 4 3 3 6 3 3 1 3 4 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter the Seeding value: 20 2 4 2 4 5 4 3 5 1 4 </pre> <p> <strong>3rd execution of the program:</strong> </p> <pre> Enter the Seeding value: 25 1 6 1 6 4 4 1 4 1 3 </pre> <p>As we can see in the above Output, when we executed the same program again and again with different seeds values, it displays the different sequences of a random number from 1 to 6.</p> <h3>Generate the random number using the random function</h3> <p>Let&apos;s create a program to use stadlib header file to get the random number using random function in C.</p> <p> <strong>func.c</strong> </p> <pre> #include #include #include int main() { int i, num, max, temp; printf (&apos; Enter a number to set the limit of random numbers 
&apos;); scanf (&apos;%d&apos;, num); printf (&apos; Enter the maximum number from you want to get the random number: 
&apos;); scanf (&apos;%d&apos;, max); printf (&apos; %d random number from 0 to %d number are: 
&apos;, num, max); randomize(); for (i = 1; i <= num; i++) { temp="random(max)" * use random() function to get the random number printf (' %d ', temp); print } getch(); < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit of random numbers 17 Enter the maximum number from you want to get the random number: 100 15 random number from 0 to 100 number are: 42 68 35 1 70 25 79 59 63 28 75 89 90 43 7 4 65 </pre> <h2>Program to generate float random numbers</h2> <p>Let&apos;s consider a program to print the float random numbers in C.</p> <p> <strong>random1.c</strong> </p> <pre> #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf('%f', ((float) rand() rand_max) * f1); printf('
'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;></pre></=></pre></=></pre></num;></pre></=></pre></5;>

2ª execução do programa:

 Random Numbers are: 41 18467 6334 26500 19169 

3ª execução do programa

 Random Numbers are: 41 18467 6334 26500 19169 

Como podemos ver na saída acima, ele retorna a mesma sequência de números aleatórios em cada execução do código de programação.

Gere 10 números aleatórios de 1 a 100 usando a função Rand()

Vamos considerar um programa para encontrar o número aleatório em C usando a função Rand().

substituição de método em java

rand_num.c

 #include #include #include int main() { // declare the local variables int i, num; printf (&apos; Program to get the random number from 1 to 100 
&apos;); for (i = 1; i <= 100 10; i++) { num="rand()" % + 1; use rand() function to get the random number printf (\' %d \', num); getch(); } < pre> <p> <strong>Output</strong> </p> <pre> Program to get the random number from 1 to 100 42 68 35 1 70 25 79 59 63 65 </pre> <h2>srand() function</h2> <p>The srand() function is a C library function that determines the initial point to generate different series of pseudo-random numbers. A srand() function cannot be used without using a rand() function. The srand() function is required to set the value of the seed only once in a program to generate the different results of random integers before calling the rand() function.</p> <h3>Syntax</h3> <pre> int srand (unsigned int seed) </pre> <p> <strong>seed</strong> : It is an integer value that contains a seed for a new sequence of pseudo-random numbers.</p> <h3>Generate the random numbers using srand() function</h3> <p>Let&apos;s write a program to get the random numbers using srand() function in C.</p> <p> <strong>srandNum.c</strong> </p> <pre> #include #include #include // use time.h header file to use time int main() { int num, i; time_t t1; // declare time variable printf(&apos; Enter a number to set the limit for a random number 
&apos;); scanf (&apos; %d&apos;, &amp;num); /* define the random number generator */ srand ( (unsigned) time (&amp;t1)); // pass the srand() parameter printf(&apos;
&apos;); // print the space /* generate random number between 0 to 50 */ for (i = 0; i <num; i++) { printf( \'%d 
\', rand() % 50); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit for a random number 10 44 32 23 35 6 33 1 4 22 18 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter a number to set the limit for a random number 15 13 30 24 27 4 30 28 35 36 13 44 39 21 5 7 </pre> <p>As we can see in the above Output, it returns different sequences of random numbers on every execution of the programming code.</p> <h3>Generate the random numbers using srand() and time() function</h3> <p>Let&apos;s write a program to get the random numbers using srand() with time() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int random = rand(); // assign the rand() function to random variable srand( time(0)); printf( &apos; Seed = %d&apos;, time(0)); printf( &apos; Random number = %d&apos;, random); return 0; } </pre> <p> <strong>Output</strong> </p> <pre> Seed = 1619450091 Random number = 41 </pre> <h3>Get a seeding value and print the random numbers using srand() function</h3> <p>Let&apos;s write a program to get the seed value and random numbers using srand() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int count; unsigned int seed; // use for randomize number printf(&apos; Enter the Seeding value: 
&apos;); scanf(&apos; %u&apos;, &amp;seed); srand (seed); // pass parameter // generate random number between 1 to 6 for (count = 1; count <= 1 5="=" 10; ++count) { printf(\' %5d\', + (rand () % 6)); if (count 0) print the number in next line puts(\' \'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter the Seeding value: 10 6 4 3 3 6 3 3 1 3 4 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter the Seeding value: 20 2 4 2 4 5 4 3 5 1 4 </pre> <p> <strong>3rd execution of the program:</strong> </p> <pre> Enter the Seeding value: 25 1 6 1 6 4 4 1 4 1 3 </pre> <p>As we can see in the above Output, when we executed the same program again and again with different seeds values, it displays the different sequences of a random number from 1 to 6.</p> <h3>Generate the random number using the random function</h3> <p>Let&apos;s create a program to use stadlib header file to get the random number using random function in C.</p> <p> <strong>func.c</strong> </p> <pre> #include #include #include int main() { int i, num, max, temp; printf (&apos; Enter a number to set the limit of random numbers 
&apos;); scanf (&apos;%d&apos;, num); printf (&apos; Enter the maximum number from you want to get the random number: 
&apos;); scanf (&apos;%d&apos;, max); printf (&apos; %d random number from 0 to %d number are: 
&apos;, num, max); randomize(); for (i = 1; i <= num; i++) { temp="random(max)" * use random() function to get the random number printf (\' %d \', temp); print } getch(); < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit of random numbers 17 Enter the maximum number from you want to get the random number: 100 15 random number from 0 to 100 number are: 42 68 35 1 70 25 79 59 63 28 75 89 90 43 7 4 65 </pre> <h2>Program to generate float random numbers</h2> <p>Let&apos;s consider a program to print the float random numbers in C.</p> <p> <strong>random1.c</strong> </p> <pre> #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf(\'%f\', ((float) rand() rand_max) * f1); printf(\'
\'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;></pre></=></pre></=></pre></num;></pre></=>

função srand()

A função srand() é uma função da biblioteca C que determina o ponto inicial para gerar diferentes séries de números pseudo-aleatórios. Uma função srand() não pode ser usada sem usar uma função Rand(). A função srand() é necessária para definir o valor da semente apenas uma vez em um programa para gerar os diferentes resultados de inteiros aleatórios antes de chamar a função rand().

Sintaxe

 int srand (unsigned int seed) 

semente : É um valor inteiro que contém uma semente para uma nova sequência de números pseudo-aleatórios.

Gere os números aleatórios usando a função srand()

Vamos escrever um programa para obter os números aleatórios usando a função srand() em C.

comparação de strings em java

srandNum.c

 #include #include #include // use time.h header file to use time int main() { int num, i; time_t t1; // declare time variable printf(&apos; Enter a number to set the limit for a random number 
&apos;); scanf (&apos; %d&apos;, &amp;num); /* define the random number generator */ srand ( (unsigned) time (&amp;t1)); // pass the srand() parameter printf(&apos;
&apos;); // print the space /* generate random number between 0 to 50 */ for (i = 0; i <num; i++) { printf( \'%d 
\', rand() % 50); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit for a random number 10 44 32 23 35 6 33 1 4 22 18 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter a number to set the limit for a random number 15 13 30 24 27 4 30 28 35 36 13 44 39 21 5 7 </pre> <p>As we can see in the above Output, it returns different sequences of random numbers on every execution of the programming code.</p> <h3>Generate the random numbers using srand() and time() function</h3> <p>Let&apos;s write a program to get the random numbers using srand() with time() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int random = rand(); // assign the rand() function to random variable srand( time(0)); printf( &apos; Seed = %d&apos;, time(0)); printf( &apos; Random number = %d&apos;, random); return 0; } </pre> <p> <strong>Output</strong> </p> <pre> Seed = 1619450091 Random number = 41 </pre> <h3>Get a seeding value and print the random numbers using srand() function</h3> <p>Let&apos;s write a program to get the seed value and random numbers using srand() function.</p> <p> <strong>srand_time.c</strong> </p> <pre> #include #include int main() { int count; unsigned int seed; // use for randomize number printf(&apos; Enter the Seeding value: 
&apos;); scanf(&apos; %u&apos;, &amp;seed); srand (seed); // pass parameter // generate random number between 1 to 6 for (count = 1; count <= 1 5="=" 10; ++count) { printf(\' %5d\', + (rand () % 6)); if (count 0) print the number in next line puts(\' \'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter the Seeding value: 10 6 4 3 3 6 3 3 1 3 4 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter the Seeding value: 20 2 4 2 4 5 4 3 5 1 4 </pre> <p> <strong>3rd execution of the program:</strong> </p> <pre> Enter the Seeding value: 25 1 6 1 6 4 4 1 4 1 3 </pre> <p>As we can see in the above Output, when we executed the same program again and again with different seeds values, it displays the different sequences of a random number from 1 to 6.</p> <h3>Generate the random number using the random function</h3> <p>Let&apos;s create a program to use stadlib header file to get the random number using random function in C.</p> <p> <strong>func.c</strong> </p> <pre> #include #include #include int main() { int i, num, max, temp; printf (&apos; Enter a number to set the limit of random numbers 
&apos;); scanf (&apos;%d&apos;, num); printf (&apos; Enter the maximum number from you want to get the random number: 
&apos;); scanf (&apos;%d&apos;, max); printf (&apos; %d random number from 0 to %d number are: 
&apos;, num, max); randomize(); for (i = 1; i <= num; i++) { temp="random(max)" * use random() function to get the random number printf (\' %d \', temp); print } getch(); < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit of random numbers 17 Enter the maximum number from you want to get the random number: 100 15 random number from 0 to 100 number are: 42 68 35 1 70 25 79 59 63 28 75 89 90 43 7 4 65 </pre> <h2>Program to generate float random numbers</h2> <p>Let&apos;s consider a program to print the float random numbers in C.</p> <p> <strong>random1.c</strong> </p> <pre> #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf(\'%f\', ((float) rand() rand_max) * f1); printf(\'
\'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;></pre></=></pre></=></pre></num;>

2ª execução do programa:

 Enter a number to set the limit for a random number 15 13 30 24 27 4 30 28 35 36 13 44 39 21 5 7 

Como podemos ver na saída acima, ela retorna diferentes sequências de números aleatórios em cada execução do código de programação.

Gere os números aleatórios usando as funções srand() e time()

Vamos escrever um programa para obter números aleatórios usando srand() com a função time().

srand_time.c

 #include #include int main() { int random = rand(); // assign the rand() function to random variable srand( time(0)); printf( &apos; Seed = %d&apos;, time(0)); printf( &apos; Random number = %d&apos;, random); return 0; } 

Saída

 Seed = 1619450091 Random number = 41 

Obtenha um valor inicial e imprima os números aleatórios usando a função srand()

Vamos escrever um programa para obter o valor inicial e os números aleatórios usando a função srand().

srand_time.c

 #include #include int main() { int count; unsigned int seed; // use for randomize number printf(&apos; Enter the Seeding value: 
&apos;); scanf(&apos; %u&apos;, &amp;seed); srand (seed); // pass parameter // generate random number between 1 to 6 for (count = 1; count <= 1 5="=" 10; ++count) { printf(\' %5d\', + (rand () % 6)); if (count 0) print the number in next line puts(\' \'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Enter the Seeding value: 10 6 4 3 3 6 3 3 1 3 4 </pre> <p> <strong>2nd execution of the program:</strong> </p> <pre> Enter the Seeding value: 20 2 4 2 4 5 4 3 5 1 4 </pre> <p> <strong>3rd execution of the program:</strong> </p> <pre> Enter the Seeding value: 25 1 6 1 6 4 4 1 4 1 3 </pre> <p>As we can see in the above Output, when we executed the same program again and again with different seeds values, it displays the different sequences of a random number from 1 to 6.</p> <h3>Generate the random number using the random function</h3> <p>Let&apos;s create a program to use stadlib header file to get the random number using random function in C.</p> <p> <strong>func.c</strong> </p> <pre> #include #include #include int main() { int i, num, max, temp; printf (&apos; Enter a number to set the limit of random numbers 
&apos;); scanf (&apos;%d&apos;, num); printf (&apos; Enter the maximum number from you want to get the random number: 
&apos;); scanf (&apos;%d&apos;, max); printf (&apos; %d random number from 0 to %d number are: 
&apos;, num, max); randomize(); for (i = 1; i <= num; i++) { temp="random(max)" * use random() function to get the random number printf (\' %d \', temp); print } getch(); < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit of random numbers 17 Enter the maximum number from you want to get the random number: 100 15 random number from 0 to 100 number are: 42 68 35 1 70 25 79 59 63 28 75 89 90 43 7 4 65 </pre> <h2>Program to generate float random numbers</h2> <p>Let&apos;s consider a program to print the float random numbers in C.</p> <p> <strong>random1.c</strong> </p> <pre> #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf(\'%f\', ((float) rand() rand_max) * f1); printf(\'
\'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;></pre></=></pre></=>

2ª execução do programa:

 Enter the Seeding value: 20 2 4 2 4 5 4 3 5 1 4 

3ª execução do programa:

 Enter the Seeding value: 25 1 6 1 6 4 4 1 4 1 3 

Como podemos ver na saída acima, quando executamos o mesmo programa repetidamente com valores iniciais diferentes, ele exibe as diferentes sequências de um número aleatório de 1 a 6.

Gere o número aleatório usando a função aleatória

Vamos criar um programa para usar o arquivo de cabeçalho stadlib para obter o número aleatório usando a função aleatória em C.

função.c

 #include #include #include int main() { int i, num, max, temp; printf (&apos; Enter a number to set the limit of random numbers 
&apos;); scanf (&apos;%d&apos;, num); printf (&apos; Enter the maximum number from you want to get the random number: 
&apos;); scanf (&apos;%d&apos;, max); printf (&apos; %d random number from 0 to %d number are: 
&apos;, num, max); randomize(); for (i = 1; i <= num; i++) { temp="random(max)" * use random() function to get the random number printf (\' %d \', temp); print } getch(); < pre> <p> <strong>Output</strong> </p> <pre> Enter a number to set the limit of random numbers 17 Enter the maximum number from you want to get the random number: 100 15 random number from 0 to 100 number are: 42 68 35 1 70 25 79 59 63 28 75 89 90 43 7 4 65 </pre> <h2>Program to generate float random numbers</h2> <p>Let&apos;s consider a program to print the float random numbers in C.</p> <p> <strong>random1.c</strong> </p> <pre> #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf(\'%f\', ((float) rand() rand_max) * f1); printf(\'
\'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;></pre></=>

Programa para gerar números aleatórios flutuantes

Vamos considerar um programa para imprimir números aleatórios flutuantes em C.

aleatório1.c

 #include #include #include int main() { srand( (unsigned int) time(NULL)); float f1 = 5.0; int i; printf(?Float random numbers are: 
?); for (i = 0; i<10; i++) { printf(\\'%f\\', ((float) rand() rand_max) * f1); printf(\\'
\\'); } return 0; < pre> <p> <strong>Output</strong> </p> <pre> Float random numbers are: 1.208075 1.658376 4.645070 2.298807 3.117161 0.961486 4.115573 4.336223 2.894833 2.249825 </pre> <hr></10;>