diff --git a/Exercise sheet 6/exercise_sheet_06.ipynb b/Exercise sheet 6/exercise_sheet_06.ipynb
index be4a9ac..beafbb1 100644
--- a/Exercise sheet 6/exercise_sheet_06.ipynb	
+++ b/Exercise sheet 6/exercise_sheet_06.ipynb	
@@ -62,7 +62,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 30,
    "id": "cb41d2a1",
    "metadata": {
     "deletable": false,
@@ -257,7 +257,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 47,
    "id": "6e4a6d63",
    "metadata": {
     "deletable": false,
@@ -281,28 +281,38 @@
     "def xy_cluster_flip(state,seed,nhat,beta):\n",
     "    '''Perform a cluster move with specified seed and vector nhat on the state at temperature beta.'''\n",
     "    w = len(state)\n",
-    "    spin = state[seed]\n",
-    "    state[seed] = state[seed] - 2*np.dot(state[seed], nhat)*nhat\n",
+    "    # Let's flip along the way, starting with the seed.\n",
+    "    # TODO: I hate this.\n",
+    "    state[seed] -= 2*np.dot(state[seed], nhat)*nhat\n",
     "    cluster_size = 1\n",
-    "    unvisited = deque([seed])   # use a deque to efficiently track the unvisited cluster sites\n",
-    "    while unvisited:   # while unvisited sites remain\n",
-    "        site = unvisited.pop()  # take one and remove from the unvisited list\n",
+    "    # Use a double-ended queue to keep track of what elements to try to expand from.\n",
+    "    unvisited = deque([seed])\n",
+    "    while unvisited:\n",
+    "        site = unvisited.pop()\n",
+    "        s_i_n = -np.dot(state[site], nhat)\n",
     "        for nbr in neighboring_sites(site,w):\n",
-    "            if state[nbr] == spin and rng.uniform() < p_add:\n",
-    "                state[nbr] = -spin\n",
+    "            # TODO: Use @.\n",
+    "            s_j_n = np.dot(state[nbr], nhat)\n",
+    "            p_add = 1 - np.exp(-2*beta*s_i_n*s_j_n)\n",
+    "            print('bijna flip', s_i_n, s_j_n)\n",
+    "            if s_i_n*s_j_n > 0 and rng.uniform() < p_add:\n",
+    "                print('flip')\n",
+    "                state[nbr] -= 2*s_j_n*nhat\n",
     "                unvisited.appendleft(nbr)\n",
     "                cluster_size += 1\n",
     "    return cluster_size\n",
     "\n",
     "def xy_cluster_move(state,beta):\n",
     "    '''Perform a single Wolff cluster move on the state with addition probability p_add.'''\n",
-    "    # YOUR CODE HERE\n",
-    "    raise NotImplementedError()"
+    "    seed = tuple(rng.integers(0,len(state),2))\n",
+    "    phi = 2*pi*rng.uniform()\n",
+    "    nhat = np.array([np.cos(phi), np.sin(phi)])\n",
+    "    return xy_cluster_flip(state,seed,nhat,beta)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 48,
    "id": "3f810041",
    "metadata": {
     "deletable": false,
@@ -319,7 +329,9352 @@
      "task": false
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
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+      "flip\n",
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+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
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+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
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+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
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+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
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+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "flip\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 0.9800665778412416\n",
+      "bijna flip 0.9800665778412417 -0.9800665778412417\n"
+     ]
+    }
+   ],
    "source": [
     "from nose.tools import assert_almost_equal\n",
     "assert 1 <= xy_cluster_flip(xy_aligned_init_config(4),(0,0),np.array([np.cos(0.5),np.sin(0.5)]),0.5) <= 16\n",