```go
package main

import "fmt"

func main() {
	var startStr, endStr string
	var n int
	// Using fmt.Scan to parse whitespace-separated input (strings and integer)
	fmt.Scan(&startStr, &endStr, &n)

	// Map characters to integers based on clockwise order:
	// v (down) -> < (left) -> ^ (up) -> > (right) -> v ...
	// This corresponds to indices 0, 1, 2, 3.
	toInt := func(c string) int {
		switch c {
		case "v":
			return 0
		case "<":
			return 1
		case "^":
			return 2
		case ">":
			return 3
		}
		return 0
	}

	start := toInt(startStr)
	end := toInt(endStr)

	// Cycle repeats every 4 seconds
	n %= 4

	// Calculate predicted end positions for both directions
	cw := (start + n) % 4
	ccw := (start - n + 4) % 4

	// Check matches
	if cw == end && ccw == end {
		fmt.Println("undefined")
	} else if cw == end {
		fmt.Println("cw")
	} else {
		// Since input is guaranteed valid, if not cw and not undefined, must be ccw
		fmt.Println("ccw")
	}
}
```