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#include <assert.h>
#include <stdio.h>
int jours(int infected, int pop, float percentage){
int n = 1, c = 0;
while (n / (float) pop < percentage/100){
n += infected * n;
c++;
}
return c;
}
float pourcentage(int infected, int pop, int day){
int n = 1, c = 0;
while (c < day && n <= pop){
n += infected*n;
c++;
}
if (n >= pop) return 100;
return 100*n/ (float) pop;
}
int eps_pres(float a, float b, float eps){
float v = a - b;
if (v < 0) v = -v;
return v < eps;
}
int main(){
assert(jours(5, 10000, 100) == 6);
assert(jours(5, 10000, 50) == 5);
assert(jours(5, 10000, 25) == 5);
assert(jours(5, 10000, 10) == 4);
assert(eps_pres(pourcentage(5, 10000, 2), 0.36, 0.001));
assert(eps_pres(pourcentage(5, 10000, 3), 2.16, 0.001));
assert(eps_pres(pourcentage(5, 10000, 4), 12.96, 0.001));
assert(eps_pres(pourcentage(5, 10000, 5), 77.76, 0.001));
assert(eps_pres(pourcentage(5, 10000, 6), 100.00, 0.001));
return 0;
}
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