Problem: <image>

Walking through the streets of Marshmallow City, Slastyona have spotted some merchants selling a kind of useless toy which is very popular nowadays – caramel spinner! Wanting to join the craze, she has immediately bought the strange contraption.

Spinners in Sweetland have the form of V-shaped pieces of caramel. Each spinner can, well, spin around an invisible magic axis. At a specific point in time, a spinner can take 4 positions shown below (each one rotated 90 degrees relative to the previous, with the fourth one followed by the first one):

<image>

After the spinner was spun, it starts its rotation, which is described by a following algorithm: the spinner maintains its position for a second then majestically switches to the next position in clockwise or counter-clockwise order, depending on the direction the spinner was spun in.

Slastyona managed to have spinner rotating for exactly n seconds. Being fascinated by elegance of the process, she completely forgot the direction the spinner was spun in! Lucky for her, she managed to recall the starting position, and wants to deduct the direction given the information she knows. Help her do this.

Input

There are two characters in the first string – the starting and the ending position of a spinner. The position is encoded with one of the following characters: v (ASCII code 118, lowercase v), < (ASCII code 60), ^ (ASCII code 94) or > (ASCII code 62) (see the picture above for reference). Characters are separated by a single space.

In the second strings, a single number n is given (0 ≤ n ≤ 109) – the duration of the rotation.

It is guaranteed that the ending position of a spinner is a result of a n second spin in any of the directions, assuming the given starting position.

Output

Output cw, if the direction is clockwise, ccw – if counter-clockwise, and undefined otherwise.

Examples

Input

^ &gt;
1


Output

cw


Input

&lt; ^
3


Output

ccw


Input

^ v
6


Output

undefined

Solution (in JAVA):

Solution:
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.AbstractMap;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Comparator;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.NoSuchElementException;
import java.util.Set;
import java.util.SortedMap;
import java.util.SortedSet;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.function.BiConsumer;
import java.util.function.Consumer;
import java.util.function.Function;
import java.util.function.Supplier;
import java.util.stream.Stream;

public class A_426
{
	public static final long[] POWER2 = generatePOWER2();
	public static final IteratorBuffer<Long> ITERATOR_BUFFER_PRIME = new IteratorBuffer<>(streamPrime(1000000).iterator());
	private static BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(System.in));
	private static StringTokenizer stringTokenizer = null;
	private static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));

	interface BiFunctionResult<Type0, Type1, TypeResult>
	{
		TypeResult apply(Type0 x0, Type1 x1, TypeResult x2);
	}

	static class Array<Type> implements Iterable<Type>
	{
		private Object[] array;

		public Array(int size)
		{
			this.array = new Object[size];
		}

		public Array(int size, Type element)
		{
			this(size);
			Arrays.fill(this.array, element);
		}

		public Array(Array<Type> array, Type element)
		{
			this(array.size() + 1);
			for (int index = 0; index < array.size(); index++)
			{
				set(index, array.get(index));
			}
			set(size() - 1, element);
		}

		public Array(List<Type> list)
		{
			this(list.size());
			int index = 0;
			for (Type element : list)
			{
				set(index, element);
				index += 1;
			}
		}

		public Type get(int index)
		{
			return (Type) this.array[index];
		}

		public Array set(int index, Type value)
		{
			this.array[index] = value;
			return this;
		}

		public int size()
		{
			return this.array.length;
		}

		public List<Type> toList()
		{
			List<Type> result = new ArrayList<>();
			for (Type element : this)
			{
				result.add(element);
			}
			return result;
		}

		@Override
		public Iterator<Type> iterator()
		{
			return new Iterator<Type>()
			{
				int index = 0;

				@Override
				public boolean hasNext()
				{
					return this.index < size();
				}

				@Override
				public Type next()
				{
					Type result = Array.this.get(index);
					index += 1;
					return result;
				}
			};
		}

		@Override
		public String toString()
		{
			return "[" + A_426.toString(this, ", ") + "]";
		}
	}

	static abstract class Edge<TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>>
	{
		public final TypeVertex vertex0;
		public final TypeVertex vertex1;
		public final boolean bidirectional;

		public Edge(TypeVertex vertex0, TypeVertex vertex1, boolean bidirectional)
		{
			this.vertex0 = vertex0;
			this.vertex1 = vertex1;
			this.bidirectional = bidirectional;
			this.vertex0.edges.add(getThis());
			if (this.bidirectional)
			{
				this.vertex1.edges.add(getThis());
			}
		}

		public TypeVertex other(Vertex<TypeVertex, TypeEdge> vertex)
		{
			TypeVertex result;
			if (vertex0 == vertex)
			{
				result = vertex1;
			}
			else
			{
				result = vertex0;
			}
			return result;
		}

		public abstract TypeEdge getThis();

		public void remove()
		{
			this.vertex0.edges.remove(getThis());
			if (this.bidirectional)
			{
				this.vertex1.edges.remove(getThis());
			}
		}

		@Override
		public String toString()
		{
			return this.vertex0 + "->" + this.vertex1;
		}
	}

	public static class EdgeDefault<TypeVertex extends Vertex<TypeVertex, EdgeDefault<TypeVertex>>> extends Edge<TypeVertex, EdgeDefault<TypeVertex>>
	{
		public EdgeDefault(TypeVertex vertex0, TypeVertex vertex1, boolean bidirectional)
		{
			super(vertex0, vertex1, bidirectional);
		}

		@Override
		public EdgeDefault<TypeVertex> getThis()
		{
			return this;
		}
	}

	public static class Vertex<TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>> implements Comparable<Vertex<? super TypeVertex, ? super TypeEdge>>
	{
		public static <TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>> void depthFirstSearch(
				Array<TypeVertex> vertices,
				int indexVertexStart,
				BiConsumer<TypeVertex, TypeEdge> functionPreVisit,
				BiConsumer<TypeVertex, TypeEdge> functionInVisit,
				BiConsumer<TypeVertex, TypeEdge> functionPostVisit
		)
		{
			TypeVertex vertexTo;
			TypeEdge edgeTo;
			boolean[] isOnStack = new boolean[vertices.size()];
			Stack<Operation> stackOperations = new Stack<>();
			Stack<TypeVertex> stackVertices = new Stack<>();
			Stack<TypeEdge> stackEdges = new Stack<>();

			TypeVertex vertexStart = vertices.get(indexVertexStart);
			stackOperations.push(Operation.EXPAND);
			stackVertices.push(vertexStart);
			stackEdges.push(null);
			isOnStack[vertexStart.index] = true;
			while (!stackOperations.isEmpty())
			{
				Operation operation = stackOperations.pop();
				TypeVertex vertex = stackVertices.pop();
				TypeEdge edge = stackEdges.pop();
				switch (operation)
				{
					case INVISIT:
						functionInVisit.accept(vertex, edge);
						break;
					case POSTVISIT:
						functionPostVisit.accept(vertex, edge);
						break;
					case EXPAND:
						stackOperations.push(Operation.POSTVISIT);
						stackVertices.push(vertex);
						stackEdges.push(edge);
						Integer indexTo = null;
						for (int index = 0; indexTo == null && index < vertex.edges.size(); index++)
						{
							edgeTo = vertex.edges.get(index);
							vertexTo = edgeTo.other(vertex);
							if (!isOnStack[vertexTo.index])
							{
								indexTo = index;
							}
						}
						if (indexTo != null)
						{
							edgeTo = vertex.edges.get(indexTo);
							vertexTo = edgeTo.other(vertex);
							stackOperations.push(Operation.EXPAND);
							stackVertices.push(vertexTo);
							stackEdges.push(edgeTo);
							isOnStack[vertexTo.index] = true;
							for (int index = indexTo + 1; index < vertex.edges.size(); index++)
							{
								edgeTo = vertex.edges.get(index);
								vertexTo = edgeTo.other(vertex);
								if (!isOnStack[vertexTo.index])
								{
									stackOperations.push(Operation.INVISIT);
									stackVertices.push(vertex);
									stackEdges.push(edge);
									stackOperations.push(Operation.EXPAND);
									stackVertices.push(vertexTo);
									stackEdges.push(edgeTo);
									isOnStack[vertexTo.index] = true;
								}
							}
						}
						functionPreVisit.accept(vertex, edge);
						break;
				}
			}
		}

		public static <TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>> void depthFirstSearch(
				Array<TypeVertex> vertices,
				int indexVertexStart,
				Consumer<TypeVertex> functionPreVisit,
				Consumer<TypeVertex> functionInVisit,
				Consumer<TypeVertex> functionPostVisit
		)
		{
			depthFirstSearch(
					vertices,
					indexVertexStart,
					(vertex, edge) -> functionPreVisit.accept(vertex),
					(vertex, edge) -> functionInVisit.accept(vertex),
					(vertex, edge) -> functionPostVisit.accept(vertex)
			);
		}

		public static <TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>, TypeResult> TypeResult breadthFirstSearch(
				TypeVertex vertex,
				TypeEdge edge,
				BiFunctionResult<TypeVertex, TypeEdge, TypeResult> function,
				Array<Boolean> visited,
				FIFO<TypeVertex> verticesNext,
				FIFO<TypeEdge> edgesNext,
				TypeResult result
		)
		{
			if (!visited.get(vertex.index))
			{
				visited.set(vertex.index, true);
				result = function.apply(vertex, edge, result);
				for (TypeEdge edgeNext : vertex.edges)
				{
					TypeVertex vertexNext = edgeNext.other(vertex);
					if (!visited.get(vertexNext.index))
					{
						verticesNext.push(vertexNext);
						edgesNext.push(edgeNext);
					}
				}
			}
			return result;
		}

		public static <TypeVertex extends Vertex<TypeVertex, TypeEdge>, TypeEdge extends Edge<TypeVertex, TypeEdge>, TypeResult> TypeResult breadthFirstSearch(
				Array<TypeVertex> vertices,
				int indexVertexStart,
				BiFunctionResult<TypeVertex, TypeEdge, TypeResult> function,
				TypeResult result
		)
		{
			Array<Boolean> visited = new Array<>(vertices.size(), false);
			FIFO<TypeVertex> verticesNext = new FIFO<>();
			verticesNext.push(vertices.get(indexVertexStart));
			FIFO<TypeEdge> edgesNext = new FIFO<>();
			edgesNext.push(null);
			while (!verticesNext.isEmpty())
			{
				result = breadthFirstSearch(verticesNext.pop(), edgesNext.pop(), function, visited, verticesNext, edgesNext, result);
			}
			return result;
		}

		public final int index;
		public final List<TypeEdge> edges;

		public Vertex(int index)
		{
			this.index = index;
			this.edges = new ArrayList<>();
		}

		@Override
		public int compareTo(Vertex<? super TypeVertex, ? super TypeEdge> that)
		{
			return Integer.compare(this.index, that.index);
		}

		@Override
		public String toString()
		{
			return "" + this.index;
		}

		enum Operation
		{
			INVISIT, POSTVISIT, EXPAND
		}
	}

	public static class VertexDefault<TypeEdge extends Edge<VertexDefault<TypeEdge>, TypeEdge>> extends Vertex<VertexDefault<TypeEdge>, TypeEdge>
	{
		public VertexDefault(int index)
		{
			super(index);
		}
	}

	public static class VertexDefaultDefault extends Vertex<VertexDefaultDefault, EdgeDefaultDefault>
	{
		public static Array<VertexDefaultDefault> vertices(int n)
		{
			Array<VertexDefaultDefault> result = new Array<>(n);
			for (int index = 0; index < n; index++)
			{
				result.set(index, new VertexDefaultDefault(index));
			}
			return result;
		}

		public VertexDefaultDefault(int index)
		{
			super(index);
		}
	}

	public static class EdgeDefaultDefault extends Edge<VertexDefaultDefault, EdgeDefaultDefault>
	{
		public EdgeDefaultDefault(VertexDefaultDefault vertex0, VertexDefaultDefault vertex1, boolean bidirectional)
		{
			super(vertex0, vertex1, bidirectional);
		}

		@Override
		public EdgeDefaultDefault getThis()
		{
			return this;
		}
	}

	public static class Tuple2<Type0, Type1>
	{
		public final Type0 v0;
		public final Type1 v1;

		public Tuple2(Type0 v0, Type1 v1)
		{
			this.v0 = v0;
			this.v1 = v1;
		}

		@Override
		public String toString()
		{
			return "(" + this.v0 + ", " + this.v1 + ")";
		}
	}

	static class Wrapper<Type>
	{
		public Type value;

		public Wrapper(Type value)
		{
			this.value = value;
		}

		public Type get()
		{
			return this.value;
		}

		public void set(Type value)
		{
			this.value = value;
		}

		@Override
		public String toString()
		{
			return this.value.toString();
		}
	}

	public static class Tuple3<Type0, Type1, Type2>
	{
		public final Type0 v0;
		public final Type1 v1;
		public final Type2 v2;

		public Tuple3(Type0 v0, Type1 v1, Type2 v2)
		{
			this.v0 = v0;
			this.v1 = v1;
			this.v2 = v2;
		}

		@Override
		public String toString()
		{
			return "(" + this.v0 + ", " + this.v1 + ", " + this.v2 + ")";
		}
	}

	public static class Tuple2Comparable<Type0 extends Comparable<? super Type0>, Type1 extends Comparable<? super Type1>> extends Tuple2<Type0, Type1> implements Comparable<Tuple2Comparable<Type0, Type1>>
	{
		public Tuple2Comparable(Type0 v0, Type1 v1)
		{
			super(v0, v1);
		}

		@Override
		public int compareTo(Tuple2Comparable<Type0, Type1> that)
		{
			int result = this.v0.compareTo(that.v0);
			if (result == 0)
			{
				result = this.v1.compareTo(that.v1);
			}
			return result;
		}
	}

	public static class SingleLinkedList<Type>
	{
		public final Type element;
		public SingleLinkedList<Type> next;

		public SingleLinkedList(Type element, SingleLinkedList<Type> next)
		{
			this.element = element;
			this.next = next;
		}

		public void toCollection(Collection<Type> collection)
		{
			if (this.next != null)
			{
				this.next.toCollection(collection);
			}
			collection.add(this.element);
		}
	}

	public static class Node<Type>
	{
		public static <Type> Node<Type> balance(Node<Type> result)
		{
			while (result != null && 1 < Math.abs(height(result.left) - height(result.right)))
			{
				if (height(result.left) < height(result.right))
				{
					Node<Type> right = result.right;
					if (height(right.right) < height(right.left))
					{
						result = new Node<>(result.value, result.left, right.rotateRight());
					}
					result = result.rotateLeft();
				}
				else
				{
					Node<Type> left = result.left;
					if (height(left.left) < height(left.right))
					{
						result = new Node<>(result.value, left.rotateLeft(), result.right);
					}
					result = result.rotateRight();
				}
			}
			return result;
		}

		public static <Type> Node<Type> clone(Node<Type> result)
		{
			if (result != null)
			{
				result = new Node<>(result.value, clone(result.left), clone(result.right));
			}
			return result;
		}

		public static <Type> Node<Type> delete(Node<Type> node, Type value, Comparator<? super Type> comparator)
		{
			Node<Type> result;
			if (node == null)
			{
				result = null;
			}
			else
			{
				int compare = comparator.compare(value, node.value);
				if (compare == 0)
				{
					if (node.left == null)
					{
						result = node.right;
					}
					else
					{
						if (node.right == null)
						{
							result = node.left;
						}
						else
						{
							Node<Type> first = first(node.right);
							result = new Node<>(first.value, node.left, delete(node.right, first.value, comparator));
						}
					}
				}
				else
				{
					if (compare < 0)
					{
						result = new Node<>(node.value, delete(node.left, value, comparator), node.right);
					}
					else
					{
						result = new Node<>(node.value, node.left, delete(node.right, value, comparator));
					}
				}
				result = balance(result);
			}
			return result;
		}

		public static <Type> Node<Type> first(Node<Type> result)
		{
			while (result.left != null)
			{
				result = result.left;
			}
			return result;
		}

		public static <Type> Node<Type> get(Node<Type> node, Type value, Comparator<? super Type> comparator)
		{
			Node<Type> result;
			if (node == null)
			{
				result = null;
			}
			else
			{
				int compare = comparator.compare(value, node.value);
				if (compare == 0)
				{
					result = node;
				}
				else
				{
					if (compare < 0)
					{
						result = get(node.left, value, comparator);
					}
					else
					{
						result = get(node.right, value, comparator);
					}
				}
			}
			return result;
		}

		public static <Type> Node<Type> head(Node<Type> node, Type value, Comparator<? super Type> comparator)
		{
			Node<Type> result;
			if (node == null)
			{
				result = null;
			}
			else
			{
				int compare = comparator.compare(value, node.value);
				if (compare == 0)
				{
					result = node.left;
				}
				else
				{
					if (compare < 0)
					{
						result = head(node.left, value, comparator);
					}
					else
					{
						result = new Node<>(node.value, node.left, head(node.right, value, comparator));
					}
				}
				result = balance(result);
			}
			return result;
		}

		public static int height(Node node)
		{
			return node == null ? 0 : node.height;
		}

		public static <Type> Node<Type> insert(Node<Type> node, Type value, Comparator<? super Type> comparator)
		{
			Node<Type> result;
			if (node == null)
			{
				result = new Node<>(value, null, null);
			}
			else
			{
				int compare = comparator.compare(value, node.value);
				if (compare == 0)
				{
					result = new Node<>(value, node.left, node.right);
					;
				}
				else
				{
					if (compare < 0)
					{
						result = new Node<>(node.value, insert(node.left, value, comparator), node.right);
					}
					else
					{
						result = new Node<>(node.value, node.left, insert(node.right, value, comparator));
					}
				}
				result = balance(result);
			}
			return result;
		}

		public static <Type> Node<Type> last(Node<Type> result)
		{
			while (result.right != null)
			{
				result = result.right;
			}
			return result;
		}

		public static int size(Node node)
		{
			return node == null ? 0 : node.size;
		}

		public static <Type> Node<Type> tail(Node<Type> node, Type value, Comparator<? super Type> comparator)
		{
			Node<Type> result;
			if (node == null)
			{
				result = null;
			}
			else
			{
				int compare = comparator.compare(value, node.value);
				if (compare == 0)
				{
					result = new Node<>(node.value, null, node.right);
				}
				else
				{
					if (compare < 0)
					{
						result = new Node<>(node.value, tail(node.left, value, comparator), node.right);
					}
					else
					{
						result = tail(node.right, value, comparator);
					}
				}
				result = balance(result);
			}
			return result;
		}

		public static <Type> void traverseOrderIn(Node<Type> node, Consumer<Type> consumer)
		{
			if (node != null)
			{
				traverseOrderIn(node.left, consumer);
				consumer.accept(node.value);
				traverseOrderIn(node.right, consumer);
			}
		}

		public final Type value;
		public final Node<Type> left;
		public final Node<Type> right;
		public final int size;
		private final int height;

		public Node(Type value, Node<Type> left, Node<Type> right)
		{
			this.value = value;
			this.left = left;
			this.right = right;
			this.size = 1 + size(left) + size(right);
			this.height = 1 + Math.max(height(left), height(right));
		}

		public Node<Type> rotateLeft()
		{
			Node<Type> left = new Node<>(this.value, this.left, this.right.left);
			return new Node<>(this.right.value, left, this.right.right);
		}

		public Node<Type> rotateRight()
		{
			Node<Type> right = new Node<>(this.value, this.left.right, this.right);
			return new Node<>(this.left.value, this.left.left, right);
		}
	}

	public static class SortedSetAVL<Type> implements SortedSet<Type>
	{
		public Comparator<? super Type> comparator;
		public Node<Type> root;

		private SortedSetAVL(Comparator<? super Type> comparator, Node<Type> root)
		{
			this.comparator = comparator;
			this.root = root;
		}

		public SortedSetAVL(Comparator<? super Type> comparator)
		{
			this(comparator, null);
		}

		public SortedSetAVL(Collection<? extends Type> collection, Comparator<? super Type> comparator)
		{
			this(comparator, null);
			this.addAll(collection);
		}

		public SortedSetAVL(SortedSetAVL<Type> sortedSetAVL)
		{
			this(sortedSetAVL.comparator, Node.clone(sortedSetAVL.root));
		}

		@Override
		public void clear()
		{
			this.root = null;
		}

		@Override
		public Comparator<? super Type> comparator()
		{
			return this.comparator;
		}

		public Type get(Type value)
		{
			Node<Type> node = Node.get(this.root, value, this.comparator);
			return node == null ? null : node.value;
		}

		@Override
		public SortedSetAVL<Type> subSet(Type valueStart, Type valueEnd)
		{
			return tailSet(valueStart).headSet(valueEnd);
		}

		@Override
		public SortedSetAVL<Type> headSet(Type valueEnd)
		{
			return new SortedSetAVL<>(this.comparator, Node.head(this.root, valueEnd, this.comparator));
		}

		@Override
		public SortedSetAVL<Type> tailSet(Type valueStart)
		{
			return new SortedSetAVL<>(this.comparator, Node.tail(this.root, valueStart, this.comparator));
		}

		@Override
		public Type first()
		{
			return Node.first(this.root).value;
		}

		@Override
		public Type last()
		{
			return Node.last(this.root).value;
		}

		@Override
		public int size()
		{
			return this.root == null ? 0 : this.root.size;
		}

		@Override
		public boolean isEmpty()
		{
			return this.root == null;
		}

		@Override
		public boolean contains(Object value)
		{
			return Node.get(this.root, (Type) value, this.comparator) != null;
		}

		@Override
		public Iterator<Type> iterator()
		{
			Stack<Node<Type>> path = new Stack<>();

			return new Iterator<Type>()
			{
				{
					push(SortedSetAVL.this.root);
				}

				public void push(Node<Type> node)
				{
					while (node != null)
					{
						path.push(node);
						node = node.left;
					}
				}

				@Override
				public boolean hasNext()
				{
					return !path.isEmpty();
				}

				@Override
				public Type next()
				{
					if (path.isEmpty())
					{
						throw new NoSuchElementException();
					}
					else
					{
						Node<Type> node = path.peek();
						Type result = node.value;
						if (node.right != null)
						{
							push(node.right);
						}
						else
						{
							do
							{
								node = path.pop();
							}
							while (!path.isEmpty() && path.peek().right == node);
						}
						return result;
					}
				}
			};
		}

		@Override
		public Object[] toArray()
		{
			List<Object> list = new ArrayList<>();
			Node.traverseOrderIn(this.root, list::add);
			return list.toArray();
		}

		@Override
		public <T> T[] toArray(T[] ts)
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public boolean add(Type value)
		{
			int sizeBefore = size();
			this.root = Node.insert(this.root, value, this.comparator);
			return sizeBefore != size();
		}

		@Override
		public boolean remove(Object value)
		{
			int sizeBefore = size();
			this.root = Node.delete(this.root, (Type) value, this.comparator);
			return sizeBefore != size();
		}

		@Override
		public boolean containsAll(Collection<?> collection)
		{
			return collection.stream()
					.allMatch(this::contains);
		}

		@Override
		public boolean addAll(Collection<? extends Type> collection)
		{
			return collection.stream()
					.map(this::add)
					.reduce(true, (x, y) -> x | y);
		}

		@Override
		public boolean retainAll(Collection<?> collection)
		{
			SortedSetAVL<Type> set = new SortedSetAVL<>(this.comparator);
			collection.stream()
					.map(element -> (Type) element)
					.filter(this::contains)
					.forEach(set::add);
			boolean result = size() != set.size();
			this.root = set.root;
			return result;
		}

		@Override
		public boolean removeAll(Collection<?> collection)
		{
			return collection.stream()
					.map(this::remove)
					.reduce(true, (x, y) -> x | y);
		}

		@Override
		public String toString()
		{
			return "{" + A_426.toString(this, ", ") + "}";
		}
	}

	public static class SortedMapAVL<TypeKey, TypeValue> implements SortedMap<TypeKey, TypeValue>
	{
		public final Comparator<? super TypeKey> comparator;
		public final SortedSetAVL<Entry<TypeKey, TypeValue>> entrySet;

		public SortedMapAVL(Comparator<? super TypeKey> comparator)
		{
			this(comparator, new SortedSetAVL<>((entry0, entry1) -> comparator.compare(entry0.getKey(), entry1.getKey())));
		}

		private SortedMapAVL(Comparator<? super TypeKey> comparator, SortedSetAVL<Entry<TypeKey, TypeValue>> entrySet)
		{
			this.comparator = comparator;
			this.entrySet = entrySet;
		}

		@Override
		public Comparator<? super TypeKey> comparator()
		{
			return this.comparator;
		}

		@Override
		public SortedMapAVL<TypeKey, TypeValue> subMap(TypeKey keyStart, TypeKey keyEnd)
		{
			return new SortedMapAVL<>(this.comparator, this.entrySet.subSet(new AbstractMap.SimpleEntry<>(keyStart, null), new AbstractMap.SimpleEntry<>(keyEnd, null)));
		}

		@Override
		public SortedMapAVL<TypeKey, TypeValue> headMap(TypeKey keyEnd)
		{
			return new SortedMapAVL<>(this.comparator, this.entrySet.headSet(new AbstractMap.SimpleEntry<>(keyEnd, null)));
		}

		@Override
		public SortedMapAVL<TypeKey, TypeValue> tailMap(TypeKey keyStart)
		{
			return new SortedMapAVL<>(this.comparator, this.entrySet.tailSet(new AbstractMap.SimpleEntry<>(keyStart, null)));
		}

		public Entry<TypeKey, TypeValue> firstEntry()
		{
			return this.entrySet.first();
		}

		@Override
		public TypeKey firstKey()
		{
			return firstEntry().getKey();
		}

		public Entry<TypeKey, TypeValue> lastEntry()
		{
			return this.entrySet.last();
		}

		@Override
		public TypeKey lastKey()
		{
			return lastEntry().getKey();
		}

		@Override
		public int size()
		{
			return this.entrySet().size();
		}

		@Override
		public boolean isEmpty()
		{
			return this.entrySet.isEmpty();
		}

		@Override
		public boolean containsKey(Object key)
		{
			return this.entrySet().contains(new AbstractMap.SimpleEntry<>((TypeKey) key, null));
		}

		@Override
		public boolean containsValue(Object value)
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public TypeValue get(Object key)
		{
			Entry<TypeKey, TypeValue> entry = new AbstractMap.SimpleEntry<>((TypeKey) key, null);
			entry = this.entrySet.get(entry);
			return entry == null ? null : entry.getValue();
		}

		@Override
		public TypeValue put(TypeKey key, TypeValue value)
		{
			TypeValue result = get(key);
			Entry<TypeKey, TypeValue> entry = new AbstractMap.SimpleEntry<>(key, value);
			this.entrySet().add(entry);
			return result;
		}

		@Override
		public TypeValue remove(Object key)
		{
			TypeValue result = get(key);
			Entry<TypeKey, TypeValue> entry = new AbstractMap.SimpleEntry<>((TypeKey) key, null);
			this.entrySet.remove(entry);
			return result;
		}

		@Override
		public void putAll(Map<? extends TypeKey, ? extends TypeValue> map)
		{
			map.entrySet()
					.forEach(entry -> put(entry.getKey(), entry.getValue()));
		}

		@Override
		public void clear()
		{
			this.entrySet.clear();
		}

		@Override
		public Set<TypeKey> keySet()
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public Collection<TypeValue> values()
		{
			return new Collection<TypeValue>()
			{
				@Override
				public int size()
				{
					return SortedMapAVL.this.entrySet.size();
				}

				@Override
				public boolean isEmpty()
				{
					return SortedMapAVL.this.entrySet.isEmpty();
				}

				@Override
				public boolean contains(Object value)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public Iterator<TypeValue> iterator()
				{
					return new Iterator<TypeValue>()
					{
						Iterator<Entry<TypeKey, TypeValue>> iterator = SortedMapAVL.this.entrySet.iterator();

						@Override
						public boolean hasNext()
						{
							return this.iterator.hasNext();
						}

						@Override
						public TypeValue next()
						{
							return this.iterator.next().getValue();
						}
					};
				}

				@Override
				public Object[] toArray()
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public <T> T[] toArray(T[] ts)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean add(TypeValue typeValue)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean remove(Object o)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean containsAll(Collection<?> collection)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean addAll(Collection<? extends TypeValue> collection)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean removeAll(Collection<?> collection)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public boolean retainAll(Collection<?> collection)
				{
					throw new UnsupportedOperationException();
				}

				@Override
				public void clear()
				{
					throw new UnsupportedOperationException();
				}
			};
		}

		@Override
		public SortedSetAVL<Entry<TypeKey, TypeValue>> entrySet()
		{
			return this.entrySet;
		}

		@Override
		public String toString()
		{
			return this.entrySet().toString();
		}
	}

	public static class FIFO<Type>
	{
		public SingleLinkedList<Type> start;
		public SingleLinkedList<Type> end;

		public FIFO()
		{
			this.start = null;
			this.end = null;
		}

		public boolean isEmpty()
		{
			return this.start == null;
		}

		public Type peek()
		{
			return this.start.element;
		}

		public Type pop()
		{
			Type result = this.start.element;
			this.start = this.start.next;
			return result;
		}

		public void push(Type element)
		{
			SingleLinkedList<Type> list = new SingleLinkedList<>(element, null);
			if (this.start == null)
			{
				this.start = list;
				this.end = list;
			}
			else
			{
				this.end.next = list;
				this.end = list;
			}
		}
	}

	public static class MapCount<Type> extends SortedMapAVL<Type, Long>
	{
		private int count;

		public MapCount(Comparator<? super Type> comparator)
		{
			super(comparator);
			this.count = 0;
		}

		public long add(Type key, Long delta)
		{
			long result;
			if (delta > 0)
			{
				Long value = get(key);
				if (value == null)
				{
					value = delta;
				}
				else
				{
					value += delta;
				}
				put(key, value);
				result = delta;
			}
			else
			{
				result = 0;
			}
			this.count += result;
			return result;
		}

		public int count()
		{
			return this.count;
		}

		public List<Type> flatten()
		{
			List<Type> result = new ArrayList<>();
			for (Entry<Type, Long> entry : entrySet())
			{
				for (long index = 0; index < entry.getValue(); index++)
				{
					result.add(entry.getKey());
				}
			}
			return result;
		}

		@Override
		public void putAll(Map<? extends Type, ? extends Long> map)
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public Long remove(Object key)
		{
			Long result = super.remove(key);
			this.count -= result;
			return result;
		}

		public long remove(Type key, Long delta)
		{
			long result;
			if (delta > 0)
			{
				Long value = get(key) - delta;
				if (value <= 0)
				{
					result = delta + value;
					remove(key);
				}
				else
				{
					result = delta;
					put(key, value);
				}
			}
			else
			{
				result = 0;
			}
			this.count -= result;
			return result;
		}

		@Override
		public SortedMapAVL<Type, Long> subMap(Type keyStart, Type keyEnd)
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public SortedMapAVL<Type, Long> headMap(Type keyEnd)
		{
			throw new UnsupportedOperationException();
		}

		@Override
		public SortedMapAVL<Type, Long> tailMap(Type keyStart)
		{
			throw new UnsupportedOperationException();
		}
	}

	public static class MapSet<TypeKey, TypeValue> extends SortedMapAVL<TypeKey, SortedSetAVL<TypeValue>> implements Iterable<TypeValue>
	{
		private Comparator<? super TypeValue> comparatorValue;

		public MapSet(Comparator<? super TypeKey> comparatorKey, Comparator<? super TypeValue> comparatorValue)
		{
			super(comparatorKey);
			this.comparatorValue = comparatorValue;
		}

		public MapSet(Comparator<? super TypeKey> comparatorKey, SortedSetAVL<Entry<TypeKey, SortedSetAVL<TypeValue>>> entrySet, Comparator<? super TypeValue> comparatorValue)
		{
			super(comparatorKey, entrySet);
			this.comparatorValue = comparatorValue;
		}

		public TypeValue firstValue()
		{
			TypeValue result;
			Entry<TypeKey, SortedSetAVL<TypeValue>> firstEntry = firstEntry();
			if (firstEntry == null)
			{
				result = null;
			}
			else
			{
				result = firstEntry.getValue().first();
			}
			return result;
		}

		public Iterator<TypeValue> iterator()
		{
			return new Iterator<TypeValue>()
			{
				Iterator<SortedSetAVL<TypeValue>> iteratorValues = values().iterator();
				Iterator<TypeValue> iteratorValue = null;

				@Override
				public boolean hasNext()
				{
					return iteratorValues.hasNext() || (iteratorValue != null && iteratorValue.hasNext());
				}

				@Override
				public TypeValue next()
				{
					if (iteratorValue == null || !iteratorValue.hasNext())
					{
						iteratorValue = iteratorValues.next().iterator();
					}
					return iteratorValue.next();
				}
			};
		}

		public TypeValue lastValue()
		{
			TypeValue result;
			Entry<TypeKey, SortedSetAVL<TypeValue>> lastEntry = lastEntry();
			if (lastEntry == null)
			{
				result = null;
			}
			else
			{
				result = lastEntry.getValue().last();
			}
			return result;
		}

		public boolean add(TypeKey key, TypeValue value)
		{
			SortedSetAVL<TypeValue> set = computeIfAbsent(key, k -> new SortedSetAVL<>(comparatorValue));
			return set.add(value);
		}

		public boolean removeSet(TypeKey key, TypeValue value)
		{
			boolean result;
			SortedSetAVL<TypeValue> set = get(key);
			if (set == null)
			{
				result = false;
			}
			else
			{
				result = set.remove(value);
				if (set.size() == 0)
				{
					remove(key);
				}
			}
			return result;
		}

		@Override
		public MapSet<TypeKey, TypeValue> headMap(TypeKey keyEnd)
		{
			return new MapSet<>(this.comparator, this.entrySet.headSet(new AbstractMap.SimpleEntry<>(keyEnd, null)), this.comparatorValue);
		}

		@Override
		public MapSet<TypeKey, TypeValue> tailMap(TypeKey keyStart)
		{
			return new MapSet<>(this.comparator, this.entrySet.tailSet(new AbstractMap.SimpleEntry<>(keyStart, null)), this.comparatorValue);
		}
	}

	static class IteratorBuffer<Type>
	{
		private Iterator<Type> iterator;
		private List<Type> list;

		public IteratorBuffer(Iterator<Type> iterator)
		{
			this.iterator = iterator;
			this.list = new ArrayList<Type>();
		}

		public Iterator<Type> iterator()
		{
			return new Iterator<Type>()
			{
				int index = 0;

				@Override
				public boolean hasNext()
				{
					return this.index < list.size() || iterator().hasNext();
				}

				@Override
				public Type next()
				{
					if (list.size() <= this.index)
					{
						list.add(iterator.next());
					}
					Type result = list.get(index);
					index += 1;
					return result;
				}
			};
		}
	}

	public static <Type> List<List<Type>> permutations(List<Type> list)
	{
		List<List<Type>> result = new ArrayList<>();
		result.add(new ArrayList<>());
		for (Type element : list)
		{
			List<List<Type>> permutations = result;
			result = new ArrayList<>();
			for (List<Type> permutation : permutations)
			{
				for (int index = 0; index <= permutation.size(); index++)
				{
					List<Type> permutationNew = new ArrayList<>(permutation);
					permutationNew.add(index, element);
					result.add(permutationNew);
				}
			}
		}
		return result;
	}

	public static List<List<Integer>> combinations(int n, int k)
	{
		List<List<Integer>> result = new ArrayList<>();
		if (k == 0)
		{
		}
		else
		{
			if (k == 1)
			{
				List<Integer> combination = new ArrayList<>();
				combination.add(n);
				result.add(combination);
			}
			else
			{
				for (int index = 0; index <= n; index++)
				{
					for (List<Integer> combination : combinations(n - index, k - 1))
					{
						combination.add(index);
						result.add(combination);
					}
				}
			}
		}
		return result;
	}

	public static <Type> int compare(Iterator<Type> iterator0, Iterator<Type> iterator1, Comparator<Type> comparator)
	{
		int result = 0;
		while (result == 0 && iterator0.hasNext() && iterator1.hasNext())
		{
			result = comparator.compare(iterator0.next(), iterator1.next());
		}
		if (result == 0)
		{
			if (iterator1.hasNext())
			{
				result = -1;
			}
			else
			{
				if (iterator0.hasNext())
				{
					result = 1;
				}
			}
		}
		return result;
	}

	public static <Type> int compare(Iterable<Type> iterable0, Iterable<Type> iterable1, Comparator<Type> comparator)
	{
		return compare(iterable0.iterator(), iterable1.iterator(), comparator);
	}

	private static String nextString() throws IOException
	{
		while ((stringTokenizer == null) || (!stringTokenizer.hasMoreTokens()))
		{
			stringTokenizer = new StringTokenizer(bufferedReader.readLine());
		}
		return stringTokenizer.nextToken();
	}

	private static String[] nextStrings(int n) throws IOException
	{
		String[] result = new String[n];
		{
			for (int index = 0; index < n; index++)
			{
				result[index] = nextString();
			}
		}
		return result;
	}

	public static int nextInt() throws IOException
	{
		return Integer.parseInt(nextString());
	}

	public static int[] nextInts(int n) throws IOException
	{
		int[] result = new int[n];
		{
			for (int index = 0; index < n; index++)
			{
				result[index] = nextInt();
			}
		}
		return result;
	}

	public static double nextDouble() throws IOException
	{
		return Double.parseDouble(nextString());
	}

	public static long nextLong() throws IOException
	{
		return Long.parseLong(nextString());
	}

	public static long[] nextLongs(int n) throws IOException
	{
		long[] result = new long[n];
		{
			for (int index = 0; index < n; index++)
			{
				result[index] = nextLong();
			}
		}
		return result;
	}

	public static String nextLine() throws IOException
	{
		return bufferedReader.readLine();
	}

	public static void close()
	{
		out.close();
	}

	public static int binarySearchMinimum(Function<Integer, Boolean> filter, int start, int end)
	{
		int result;
		if (start == end)
		{
			result = end;
		}
		else
		{
			int middle = start + (end - start) / 2;
			if (filter.apply(middle))
			{
				result = binarySearchMinimum(filter, start, middle);
			}
			else
			{
				result = binarySearchMinimum(filter, middle + 1, end);
			}
		}
		return result;
	}

	public static int binarySearchMaximum(Function<Integer, Boolean> filter, int start, int end)
	{
		return -binarySearchMinimum(x -> filter.apply(-x), -end, -start);
	}

	public static long divideCeil(long x, long y)
	{
		return (x + y - 1) / y;
	}

	public static Set<Long> divisors(long n)
	{
		SortedSetAVL<Long> result = new SortedSetAVL<>(Comparator.naturalOrder());
		result.add(1L);
		for (Long factor : factors(n))
		{
			SortedSetAVL<Long> divisors = new SortedSetAVL<>(result);
			for (Long divisor : result)
			{
				divisors.add(divisor * factor);
			}
			result = divisors;
		}
		return result;
	}

	public static long faculty(int n)
	{
		long result = 1;
		for (int index = 2; index <= n; index++)
		{
			result *= index;
		}
		return result;
	}

	public static LinkedList<Long> factors(long n)
	{
		LinkedList<Long> result = new LinkedList<>();
		Iterator<Long> primes = ITERATOR_BUFFER_PRIME.iterator();
		Long prime;
		while (n > 1 && (prime = primes.next()) * prime <= n)
		{
			while (n % prime == 0)
			{
				result.add(prime);
				n /= prime;
			}
		}
		if (n > 1)
		{
			result.add(n);
		}
		return result;
	}

	public static long gcd(long a, long b)
	{
		while (a != 0 && b != 0)
		{
			if (a > b)
			{
				a %= b;
			}
			else
			{
				b %= a;
			}
		}
		return a + b;
	}

	public static long[] generatePOWER2()
	{
		long[] result = new long[63];
		for (int x = 0; x < result.length; x++)
		{
			result[x] = 1L << x;
		}
		return result;
	}

	public static boolean isPrime(long x)
	{
		boolean result = x > 1;
		Iterator<Long> iterator = ITERATOR_BUFFER_PRIME.iterator();
		Long prime;
		while ((prime = iterator.next()) * prime <= x)
		{
			result &= x % prime > 0;
		}
		return result;
	}

	public static long knapsack(List<Tuple3<Long, Integer, Integer>> itemsValueWeightCount, int weightMaximum)
	{
		long[] valuesMaximum = new long[weightMaximum + 1];
		for (Tuple3<Long, Integer, Integer> itemValueWeightCount : itemsValueWeightCount)
		{
			long itemValue = itemValueWeightCount.v0;
			int itemWeight = itemValueWeightCount.v1;
			int itemCount = itemValueWeightCount.v2;
			for (int weight = weightMaximum; 0 <= weight; weight--)
			{
				for (int index = 1; index <= itemCount && 0 <= weight - index * itemWeight; index++)
				{
					valuesMaximum[weight] = Math.max(valuesMaximum[weight], valuesMaximum[weight - index * itemWeight] + index * itemValue);
				}
			}
		}
		long result = 0;
		for (long valueMaximum : valuesMaximum)
		{
			result = Math.max(result, valueMaximum);
		}
		return result;
	}

	public static boolean knapsackPossible(List<Tuple2<Integer, Integer>> itemsWeightCount, int weightMaximum)
	{
		boolean[] weightPossible = new boolean[weightMaximum + 1];
		weightPossible[0] = true;
		int weightLargest = 0;
		for (Tuple2<Integer, Integer> itemWeightCount : itemsWeightCount)
		{
			int itemWeight = itemWeightCount.v0;
			int itemCount = itemWeightCount.v1;
			for (int weightStart = 0; weightStart < itemWeight; weightStart++)
			{
				int count = 0;
				for (int weight = weightStart; weight <= weightMaximum && (0 < count || weight <= weightLargest); weight += itemWeight)
				{
					if (weightPossible[weight])
					{
						count = itemCount;
					}
					else
					{
						if (0 < count)
						{
							weightPossible[weight] = true;
							weightLargest = weight;
							count -= 1;
						}
					}
				}
			}
		}
		return weightPossible[weightMaximum];
	}

	public static long lcm(int a, int b)
	{
		return a * b / gcd(a, b);
	}

	public static <T> List<T> permutation(long p, List<T> x)
	{
		List<T> copy = new ArrayList<>();
		for (int index = 0; index < x.size(); index++)
		{
			copy.add(x.get(index));
		}
		List<T> result = new ArrayList<>();
		for (int indexTo = 0; indexTo < x.size(); indexTo++)
		{
			int indexFrom = (int) p % copy.size();
			p = p / copy.size();
			result.add(copy.remove(indexFrom));
		}
		return result;
	}

	public static <Type> String toString(Iterator<Type> iterator, String separator)
	{
		StringBuilder stringBuilder = new StringBuilder();
		if (iterator.hasNext())
		{
			stringBuilder.append(iterator.next());
		}
		while (iterator.hasNext())
		{
			stringBuilder.append(separator);
			stringBuilder.append(iterator.next());
		}
		return stringBuilder.toString();
	}

	public static <Type> String toString(Iterator<Type> iterator)
	{
		return toString(iterator, " ");
	}

	public static <Type> String toString(Iterable<Type> iterable, String separator)
	{
		return toString(iterable.iterator(), separator);
	}

	public static <Type> String toString(Iterable<Type> iterable)
	{
		return toString(iterable, " ");
	}

	public static Stream<BigInteger> streamFibonacci()
	{
		return Stream.generate(new Supplier<BigInteger>()
		{
			private BigInteger n0 = BigInteger.ZERO;
			private BigInteger n1 = BigInteger.ONE;

			@Override
			public BigInteger get()
			{
				BigInteger result = n0;
				n0 = n1;
				n1 = result.add(n0);
				return result;
			}
		});
	}

	public static Stream<Long> streamPrime(int sieveSize)
	{
		return Stream.generate(new Supplier<Long>()
		{
			private boolean[] isPrime = new boolean[sieveSize];
			private long sieveOffset = 2;
			private List<Long> primes = new ArrayList<>();
			private int index = 0;

			public void filter(long prime, boolean[] result)
			{
				if (prime * prime < this.sieveOffset + sieveSize)
				{
					long remainingStart = this.sieveOffset % prime;
					long start = remainingStart == 0 ? 0 : prime - remainingStart;
					for (long index = start; index < sieveSize; index += prime)
					{
						result[(int) index] = false;
					}
				}
			}

			public void generatePrimes()
			{
				Arrays.fill(this.isPrime, true);
				this.primes.forEach(prime -> filter(prime, isPrime));
				for (int index = 0; index < sieveSize; index++)
				{
					if (isPrime[index])
					{
						this.primes.add(this.sieveOffset + index);
						filter(this.sieveOffset + index, isPrime);
					}
				}
				this.sieveOffset += sieveSize;
			}

			@Override
			public Long get()
			{
				while (this.primes.size() <= this.index)
				{
					generatePrimes();
				}
				Long result = this.primes.get(this.index);
				this.index += 1;
				return result;
			}
		});
	}

	public static long totient(long n)
	{
		Set<Long> factors = new SortedSetAVL<>(factors(n), Comparator.naturalOrder());
		long result = n;
		for (long p : factors)
		{
			result -= result / p;
		}
		return result;
	}

	public static void main(String[] args)
	{
		try
		{
			solve();
		} catch (IOException exception)
		{
			exception.printStackTrace();
		}
		close();
	}

	public static int convert(char c)
	{
		int result;
		switch (c)
		{
			case 'v':
				result = 0;
				break;
			case '<':
				result = 1;
				break;
			case '^':
				result = 2;
				break;
			case '>':
				result = 3;
				break;
			default:
				result = -1;
		}
		return result;
	}

	public static void solve() throws IOException
	{
		int start = convert(nextString().charAt(0));
		int end = convert(nextString().charAt(0));
		int n = nextInt();
		boolean cw = (start + n) % 4 == end;
		boolean ccw = (start - n + 1000000000) % 4 == end;
		if (cw)
		{
			if (ccw)
			{
				out.println("undefined");
			}
			else
			{
				out.println("cw");
			}
		}
		else
		{
			out.println("ccw");
		}
	}
}