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Finding the longest string name and length

I'm trying to write a program that allows me to find the longest string name after input. So far:

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

int main(void){
    int i;
    int tot[20];
    int len; /*length of string*/
    char nam[20]; /*the variable the user will be entering*/
    char nnam[20]; /*new name variable.
                   where the longest is kept*/

    for (i = 0; i < 6; i++){ /*user input of 6 strings*/
        printf("Enter a string: ");
        scanf("%s", nam);

        len = strcmp(nnam, nam); /*comparing length of input 
                                 to stored string*/

        if (len > 0){ /*condition*/
            strcpy(nnam, nam); /*should copy the largest
                               value into nnam*/
        }
    }

    printf("The longest string is: %s\n", nnam);
    printf("The string length is: %d\n", strlen(nnam));

    return 0;
}

This seemed to work for example:

FIRST OUTPUT:
Enter a string: red
Enter a string: red
Enter a string: purple
Enter a string: red
Enter a string: red
Enter a string: red
The longest string is: purple
The string length is: 6

But then this happened:

SECOND OUTPUT:
Enter a string: blue
Enter a string: black
Enter a string: red
Enter a string: purple
Enter a string: gold
Enter a string: green
The longest string is: black
The string length is: 5

And this:

THIRD OUTPUT:
Enter a string: red
Enter a string: red
Enter a string: purple
Enter a string: gold
Enter a string: red
Enter a string: red
The longest string is: gold
The string length is: 4

Not sure what's happened here. Any suggestions?

You have to compare their length not the strings themselves:

scanf("%s", nam);

if (strlen(nam) > strlen(nnam)){
    strcpy(nnam, nam);
}

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