Here solution in c++, you can watch the explanation here : https://youtu.be/xoV2P0Pv9Fg

Solution 1 :

int saveThePrisoner(int n, int m, int s) {
    int c = (m % n) + s - 1 ;
    if ( c > n) c -= n;
    if ( c == 0) return n;
    return c;
}

Solution 2 :

int saveThePrisoner(int n, int m, int s) {
    return (m - 1  + s - 1 ) % n + 1;
}

Perl:

sub saveThePrisoner {
    my ($n, $m, $s) = @_;
    
    return ($s + $m - 1) % $n == 0 ? $n : ($s + $m - 1) % $n;
}

Python 3

def saveThePrisoner(n, m, s):

l = m + s -1
l = l % n 
if l == 0:
    l = n

return l

Java one line cryptic solution:

public static int saveThePrisoner(int n, int m, int s) {
        return (s + m - 1) % n == 0 ? n : (s + m - 1) % n;
    }

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