Data commit

Task/Cut-a-rectangle/Python/cut-a-rectangle-1.py

@@ -0,0 +1,53 @@
+def cut_it(h, w):
+    dirs = ((1, 0), (-1, 0), (0, -1), (0, 1))
+    if h % 2: h, w = w, h
+    if h % 2: return 0
+    if w == 1: return 1
+    count = 0
+
+    next = [w + 1, -w - 1, -1, 1]
+    blen = (h + 1) * (w + 1) - 1
+    grid = [False] * (blen + 1)
+
+    def walk(y, x, count):
+        if not y or y == h or not x or x == w:
+            return count + 1
+
+        t = y * (w + 1) + x
+        grid[t] = grid[blen - t] = True
+
+        if not grid[t + next[0]]:
+            count = walk(y + dirs[0][0], x + dirs[0][1], count)
+        if not grid[t + next[1]]:
+            count = walk(y + dirs[1][0], x + dirs[1][1], count)
+        if not grid[t + next[2]]:
+            count = walk(y + dirs[2][0], x + dirs[2][1], count)
+        if not grid[t + next[3]]:
+            count = walk(y + dirs[3][0], x + dirs[3][1], count)
+
+        grid[t] = grid[blen - t] = False
+        return count
+
+    t = h // 2 * (w + 1) + w // 2
+    if w % 2:
+        grid[t] = grid[t + 1] = True
+        count = walk(h // 2, w // 2 - 1, count)
+        res = count
+        count = 0
+        count = walk(h // 2 - 1, w // 2, count)
+        return res + count * 2
+    else:
+        grid[t] = True
+        count = walk(h // 2, w // 2 - 1, count)
+        if h == w:
+            return count * 2
+        count = walk(h // 2 - 1, w // 2, count)
+        return count
+
+def main():
+    for w in xrange(1, 10):
+        for h in xrange(1, w + 1):
+            if not((w * h) % 2):
+                print "%d x %d: %d" % (w, h, cut_it(w, h))
+
+main()

Task/Cut-a-rectangle/Python/cut-a-rectangle-2.py

@@ -0,0 +1,70 @@
+try:
+    import psyco
+except ImportError:
+    pass
+else:
+    psyco.full()
+
+w, h = 0, 0
+count = 0
+vis = []
+
+def cwalk(y, x, d):
+    global vis, count, w, h
+    if not y or y == h or not x or x == w:
+        count += 1
+        return
+
+    vis[y][x] = vis[h - y][w - x] = 1
+
+    if x and not vis[y][x - 1]:
+        cwalk(y, x - 1, d | 1)
+    if (d & 1) and x < w and not vis[y][x+1]:
+        cwalk(y, x + 1, d|1)
+    if y and not vis[y - 1][x]:
+        cwalk(y - 1, x, d | 2)
+    if (d & 2) and y < h and not vis[y + 1][x]:
+        cwalk(y + 1, x, d | 2)
+
+    vis[y][x] = vis[h - y][w - x] = 0
+
+def count_only(x, y):
+    global vis, count, w, h
+    count = 0
+    w = x
+    h = y
+
+    if (h * w) & 1:
+        return count
+    if h & 1:
+        w, h = h, w
+
+    vis = [[0] * (w + 1) for _ in xrange(h + 1)]
+    vis[h // 2][w // 2] = 1
+
+    if w & 1:
+        vis[h // 2][w // 2 + 1] = 1
+
+    res = 0
+    if w > 1:
+        cwalk(h // 2, w // 2 - 1, 1)
+        res = 2 * count - 1
+        count = 0
+        if w != h:
+            cwalk(h // 2 + 1, w // 2, 3 if (w & 1) else 2)
+
+        res += 2 * count - (not (w & 1))
+    else:
+        res = 1
+
+    if w == h:
+        res = 2 * res + 2
+    return res
+
+def main():
+    for y in xrange(1, 10):
+        for x in xrange(1, y + 1):
+            if not (x & 1) or not (y & 1):
+                print "%d x %d: %d" % (y, x, count_only(x, y))
+
+main()