Language: C++

#include <bits/stdc++.h>
using namespace std;

#define int long long
#define vvi vector<vector<int>>
#define vec vector
#define pq priority_queue
#define all(v) (v).begin(), (v).end()
#define uniqueV(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());
#define rep(i, n) for (int (i) = (0); (i) < (n); ++(i))
#define repp(i, m, n) for (int (i) = (m); (i) < (n); ++(i))
#define dbg(x) cerr << #x << ": " << x << endl;
#define dbg2(x, y) cerr<<"("<<#x<<", "<<#y<<") = "<<"("<<x<<", "<<y<<")"<<endl;
#define dbg3(x, y, z) cerr<<"("<<#x<<", "<<#y<<", "<<#z<<") = "<<"("<<x<<", "<<y<<", "<<z<<")"<<endl;
#define dbgB(value, size) cerr<<#value<<": "<<bitset<size>(value) << endl;
#define line() cerr << "---------------" << endl;

const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const double PI = 3.14159265358979323846;

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; }

template<typename T>
void print1(T begin, T end) {
	while (begin != end) {
		cerr << (*begin) << " ";
		*begin++;
	}
	cerr << endl;
}

template<typename T>
void print2(T Array, int height, int width) {
	for (int i = 0; i < height; i++) {
		for (int j = 0; j < width; j++) {
			cerr << " " << Array[i][j];
		}
		cerr << endl;
	}
}

void print() { std::cerr << endl; }
template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
	std::cerr << head << " ";
	print(std::forward<Tail>(tail)...);
}

template<class T>
void Add(T &a, const T &b, const T &mod=1000000007) {
	int val = ((a % mod) + (b % mod)) % mod;
	if (val < 0) { val += mod; }
	a = val;
}

template <typename X, typename T> auto vectors(X x, T a) { return vector<T>(x, a); }
template <typename X, typename Y, typename Z, typename... Zs> auto vectors(X x, Y y, Z z, Zs... zs) { auto cont = vectors(y, z, zs...); return vector<decltype(cont)>(x, cont); }

// ------------------------------------------------------------------------------------------

const int mod = 1e9+7;

struct P {
	int idx, old, blue, cnt;
};

const int RED = 1;
const int BLUE = 2;
const int INIT = 3;

int N, K;
map<int, int> mp; // <島, 個数>
int dp[2005][3][2005][2005];
map<tuple<int, int, int, int>, int> cand;

int rec(int idx, int old,  int blue, int cnt) {
	if (idx >= N) {
		int ret = blue >= 1 and blue <= K;
		if (cnt != K) {
			ret = 0;
		}
		cand[{idx,old,blue,cnt}] = ret;
		return ret;
	}

	if (cand.count({idx,old,blue,cnt}) >= 1) {
		return cand[{idx,old,blue,cnt}];
	}

	int ret = 0;

	if (old == BLUE) { // 何もしない
		// 赤にする
		ret += rec(idx+1, RED, blue, cnt);
		// 青にする
		ret += rec(idx+1, BLUE, blue, cnt+1);
	} else {
		// 赤にする
		ret += rec(idx+1, RED, blue, cnt);
		// 青にする
		ret += rec(idx+1, BLUE, blue+1, cnt+1);
	}

	// return ret;
	return cand[{idx,old,blue,cnt}] = ret;
}

signed main() {
	cin >> N >> K;

	int ans = rec(0, INIT, 0, 0);

	// cout << ans << endl;
	for (auto x : cand) {
	cout << x.second << endl;
	}

	return 0;
}

Compiler output:
/tmp/ccV4q8YA.o: in function `rec(long long, long long, long long, long long)':
a.cc:(.text+0xeb): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
a.cc:(.text+0x138): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
a.cc:(.text+0x183): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
a.cc:(.text+0x2a4): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
/tmp/ccV4q8YA.o: in function `main':
a.cc:(.text+0x313): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
/tmp/ccV4q8YA.o: in function `__static_initialization_and_destruction_0()':
a.cc:(.text+0x3ff): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
a.cc:(.text+0x418): relocation truncated to fit: R_X86_64_PC32 against symbol `cand' defined in .bss section in /tmp/ccV4q8YA.o
collect2: error: ld returned 1 exit status