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

int f_iter(int a, uint b) {
    int acc = 1;
    while (b > 0) {
        acc = acc * a;
        b = b - 1;
    }
    return acc;
}

int rec(int acc, int a, uint b) {
    if (b == 0) {
        return acc;
    } else {
        return rec(acc * a, a, b - 1);
    }
}
int f_rec(int a, uint b) { return rec(1, a, b); }

int f_exp(int a, uint b) {
    if (b == 1) {
        return a;
    } else if (b % 2 == 0) {
        return f_exp(a * a, b / 2);
    } else {
        return a * f_exp(a * a, (b - 1) / 2);
    }
}

int main() {
    int a = 6;
    uint b = 7;
    printf("Méthode iterative : %d^%d = %d\n", a, b, f_iter(a, b));
    printf("Méthode recursive : %d^%d = %d\n", a, b, f_rec(a, b));
    printf("Méthode d'exponentation rapide : %d^%d = %d\n", a, b, f_exp(a, b));
    exit(0);
}