just moved some files

university/exercises/4.2.3.py

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+import random
+import matplotlib.pyplot as plt
+
+LOW, HIGH = 0, 100
+N_VALUES = HIGH - LOW + 1
+N_TRIALS = 1000
+
+
+def smart_ai(secret, low=LOW, high=HIGH):
+    c = 0
+    lo, hi = low, high
+    while lo <= hi:
+        c += 1
+        mid = (lo + hi) // 2
+        if mid == secret:
+            return c
+        elif mid < secret:
+            lo = mid + 1
+        else:
+            hi = mid - 1
+    return c
+
+
+def dumb_ai(secret, low=LOW, high=HIGH):
+    c = 0
+    remaining = list(range(low, high + 1))
+    while True:
+        c += 1
+        g = random.choice(remaining)
+        if g == secret:
+            return c
+        remaining.remove(g)
+
+
+def simulate(n_trials=N_TRIALS):
+    means_smart = []
+    means_dumb = []
+    for secret in range(LOW, HIGH + 1):
+        s_sum = 0
+        d_sum = 0
+        for _ in range(n_trials):
+            s_sum += smart_ai(secret)
+            d_sum += dumb_ai(secret)
+        means_smart.append(s_sum / n_trials)
+        means_dumb.append(d_sum / n_trials)
+    return means_smart, means_dumb
+
+
+def print_text_hist(means_smart, means_dumb):
+    for i, (ms, md) in enumerate(zip(means_smart, means_dumb)):
+        print(f"[{i}] " + "*" * int(round(ms)))
+        print(f"[{i}] " + "-" * int(round(md)))
+
+
+def plot_curves(means_smart, means_dumb):
+    x = list(range(LOW, HIGH + 1))
+    plt.figure(figsize=(10, 5))
+    plt.plot(x, means_smart, label="IA intelligente (dichotomie)")
+    plt.plot(x, means_dumb, label="IA aléatoire (sans remise)")
+    plt.xlabel("Nombre secret")
+    plt.ylabel("Nombre moyen d'essais")
+    plt.title(
+        f"Moyenne des essais pour chaque nombre secret ({N_TRIALS} parties/valeur)"
+    )
+    plt.legend()
+    plt.grid(True)
+    plt.tight_layout()
+    plt.show()
+
+
+if __name__ == "__main__":
+    means_smart, means_dumb = simulate()
+    print_text_hist(means_smart, means_dumb)
+    plot_curves(means_smart, means_dumb)
+    print(f"Moyenne globale IA intelligente ≈ {sum(means_smart) / N_VALUES:.2f}")
+    print(f"Moyenne globale IA aléatoire ≈ {sum(means_dumb) / N_VALUES:.2f}")