无法为我的LruCache类定义模板化类型

#include <map>
#include <list>

template < typename K, typename  V>
class LruCache
{
private:
    typedef std::pair< K, V > EntryPair;
    typedef std::list< EntryPair > CacheList;
    typedef std::map< K, CacheList::iterator > CacheMap;

public:
    LruCache(){}
    ~LruCache(){}
};

LruCache.h:17:46: error: type/value mismatch at argument 2 in template parameter list for ‘template<class _Key, class _Tp, class _Compare, class _Alloc> class std::map’
LruCache.h:17:46: error:   expected a type, got ‘LruCache<K, V>::CacheList:: iterator’
LruCache.h:17:46: error: template argument 4 is invalid

class LruCache
{
private:
    typedef std::pair< int, int > EntryPair;
    typedef std::list< EntryPair > CacheList;
    typedef std::map< int, CacheList::iterator > CacheMap;

public:
    LruCache(){}
    ~LruCache(){}
};