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39 lines
887 B
Python
39 lines
887 B
Python
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from random import randint
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n = 42
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a = [0] * n
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### On remplit le tableau "a"
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for i in range(0, len(a)):
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a[i] = randint(0, 100)
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print(a)
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### Et maintenant on le trie
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m = 1
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while m < len(a):
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#@ invariant 1 <= m <= len(a)
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#@ invariant forall i,j. 0 <= i <= j < m -> a[i] <= a[j]
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#@ variant len(a) - m
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x = a[m]
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k = m
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while k > 0 and a[k-1] > x:
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#@ invariant 0 <= k <= m
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#@ invariant forall i,j. 0 <= i <= j < k -> a[i] <= a[j]
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#@ invariant forall i,j. 0 <= i < k < j <= m -> a[i] <= a[j]
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#@ invariant forall i,j. k < i <= j <= m -> a[i] <= a[j]
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#@ invariant forall j. k < j <= m -> x < a[j]
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#@ variant k
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a[k] = a[k-1]
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k = k - 1
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a[k] = x
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m = m + 1
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#@ assert forall i,j. 0 <= i <= j < len(a) -> a[i] <= a[j]
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print(a)
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