Data commit

Task/Josephus-problem/Python/josephus-problem-1.py

@@ -0,0 +1,14 @@
+>>> def j(n, k):
+	p, i, seq = list(range(n)), 0, []
+	while p:
+		i = (i+k-1) % len(p)
+		seq.append(p.pop(i))
+	return 'Prisoner killing order: %s.\nSurvivor: %i' % (', '.join(str(i) for i in seq[:-1]), seq[-1])
+
+>>> print(j(5, 2))
+Prisoner killing order: 1, 3, 0, 4.
+Survivor: 2
+>>> print(j(41, 3))
+Prisoner killing order: 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 0, 4, 9, 13, 18, 22, 27, 31, 36, 40, 6, 12, 19, 25, 33, 39, 7, 16, 28, 37, 10, 24, 1, 21, 3, 34, 15.
+Survivor: 30
+>>>

Task/Josephus-problem/Python/josephus-problem-2.py

@@ -0,0 +1,11 @@
+>>>def josephus(n, k):
+        r = 0
+        for i in xrange(1, n+1):
+            r = (r+k)%i
+        return 'Survivor: %d' %r
+
+>>> print(josephus(5, 2))
+Survivor: 2
+>>> print(josephus(41, 3))
+Survivor: 30
+>>>

Task/Josephus-problem/Python/josephus-problem-3.py

@@ -0,0 +1,19 @@
+def josephus(n, k):
+    a = list(range(1, n + 1))
+    a[n - 1] = 0
+    p = 0
+    v = []
+    while a[p] != p:
+        for i in range(k - 2):
+            p = a[p]
+        v.append(a[p])
+        a[p] = a[a[p]]
+        p = a[p]
+    v.append(p)
+    return v
+
+josephus(10, 2)
+[1, 3, 5, 7, 9, 2, 6, 0, 8, 4]
+
+josephus(41, 3)[-1]
+30

Task/Josephus-problem/Python/josephus-problem-4.py

@@ -0,0 +1,33 @@
+from itertools import compress, cycle
+def josephus(prisoner, kill, surviver):
+    p = range(prisoner)
+    k = [0] * kill
+    k[kill-1] = 1
+    s = [1] * kill
+    s[kill -1] = 0
+    queue = p
+
+    queue = compress(queue, cycle(s))
+    try:
+        while True:
+            p.append(queue.next())
+    except StopIteration:
+        pass
+
+    kil=[]
+    killed = compress(p, cycle(k))
+    try:
+        while True:
+            kil.append(killed.next())
+    except StopIteration:
+        pass
+
+    print 'The surviver is: ', kil[-surviver:]
+    print 'The kill sequence is ', kil[:prisoner-surviver]
+
+josephus(41,3,2)
+The surviver is:  [15, 30]
+The kill sequence is  [2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 0, 4, 9, 13, 18, 22, 27, 31, 36, 40, 6, 12, 19, 25, 33, 39, 7, 16, 28, 37, 10, 24, 1, 21, 3, 34]
+josephus(5,2,1)
+The surviver is:  [2]
+The kill sequence is  [1, 3, 0, 4]