#include <bits/stdc++.h> using namespace std; #define pb push_back #define eb emplace_back #define mp make_pair #define ll long long #define ull unsigned long long //#define int LL #define FOR(i,a,b) for(int i = (a); i <= (b); i++) #define REP(i,n) FOR(i,0,(int)(n)-1) #define VI vector<int> #define VVI vector<VI> #define PII pair<int, int> #define PLL pair<ll, ll> #define st first #define nd second #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)x.size()) template<class C> void mini(C& x, C y) { x = min(x,y); } template<class C> void maxi(C& x, C y) { x = max(x,y); } template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; } template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) { while(*sdbg!=',') cerr<<*sdbg++; cerr<<'='<<h<<','; _dbg(sdbg+1, a...); } template<class T> ostream &operator<<(ostream& os, vector<T> V) { os << "["; for (auto vv : V) os << vv << ","; return os << "]"; } template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) { return os << "(" << P.st << "," << P.nd << ")"; } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (__VA_ARGS__) #define cerr if(0)cout #endif int solve(int n, int m) { int res = 0; VI start = {}; function<bool(int)> is_ok = [&](int i) { if(i >= n-1) return false; if(start[i] == start.back()) return true; int pocz = start[i]; while(++i < n) { if(start[i] != pocz) continue; if(is_ok(i+1)) return true; } return false; }; auto check = [&]() -> int { return is_ok(0) ? 1 : 0; }; function<void()> recurse = [&]() { if(SZ(start) == n) { res += check(); return; } REP(i, m) { start.push_back(i); recurse(); start.pop_back(); } }; recurse(); return res; } const int MAXN = 3005; const ll mod = 1e9+7; typedef vector<ll> Poly; ll linearRec(Poly S, Poly tr, ll k) { int n = SZ(tr); auto combine = [&](Poly a, Poly b) { Poly res(n * 2 + 1); FOR(i,0,n) FOR(j,0,n) res[i + j] = (res[i + j] + a[i] * b[j]) % mod; for (int i = 2 * n; i > n; --i) REP(j,n) res[i - 1 - j] = (res[i - 1 - j] + res[i] * tr[j]) % mod; res.resize(n + 1); return res; }; Poly pol(n + 1), e(pol); pol[0] = e[1] = 1; for (++k; k; k /= 2) { if (k % 2) pol = combine(pol, e); e = combine(e, e); } ll res = 0; REP(i,n) res = (res + pol[i + 1] * S[i]) % mod; return res; } ll modpow(ll b, ll e) { ll ans = 1; for (; e; b = b * b % mod, e /= 2) if (e & 1) ans = ans * b % mod; return ans; } ll inverse(ll x) { return modpow(x, mod-2); } ll fact[MAXN]; ll fact_i[MAXN]; void init() { fact[0] = 1; FOR(i, 1, MAXN-1) { fact[i] = (fact[i-1] * i) % mod; fact_i[i] = inverse(fact[i]); //if(i < 10) debug(fact[i]); } } int n,m; signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); //init(); cin >> n >> m; cout << solve(n, m); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 | #include <bits/stdc++.h> using namespace std; #define pb push_back #define eb emplace_back #define mp make_pair #define ll long long #define ull unsigned long long //#define int LL #define FOR(i,a,b) for(int i = (a); i <= (b); i++) #define REP(i,n) FOR(i,0,(int)(n)-1) #define VI vector<int> #define VVI vector<VI> #define PII pair<int, int> #define PLL pair<ll, ll> #define st first #define nd second #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)x.size()) template<class C> void mini(C& x, C y) { x = min(x,y); } template<class C> void maxi(C& x, C y) { x = max(x,y); } template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; } template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) { while(*sdbg!=',') cerr<<*sdbg++; cerr<<'='<<h<<','; _dbg(sdbg+1, a...); } template<class T> ostream &operator<<(ostream& os, vector<T> V) { os << "["; for (auto vv : V) os << vv << ","; return os << "]"; } template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) { return os << "(" << P.st << "," << P.nd << ")"; } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (__VA_ARGS__) #define cerr if(0)cout #endif int solve(int n, int m) { int res = 0; VI start = {}; function<bool(int)> is_ok = [&](int i) { if(i >= n-1) return false; if(start[i] == start.back()) return true; int pocz = start[i]; while(++i < n) { if(start[i] != pocz) continue; if(is_ok(i+1)) return true; } return false; }; auto check = [&]() -> int { return is_ok(0) ? 1 : 0; }; function<void()> recurse = [&]() { if(SZ(start) == n) { res += check(); return; } REP(i, m) { start.push_back(i); recurse(); start.pop_back(); } }; recurse(); return res; } const int MAXN = 3005; const ll mod = 1e9+7; typedef vector<ll> Poly; ll linearRec(Poly S, Poly tr, ll k) { int n = SZ(tr); auto combine = [&](Poly a, Poly b) { Poly res(n * 2 + 1); FOR(i,0,n) FOR(j,0,n) res[i + j] = (res[i + j] + a[i] * b[j]) % mod; for (int i = 2 * n; i > n; --i) REP(j,n) res[i - 1 - j] = (res[i - 1 - j] + res[i] * tr[j]) % mod; res.resize(n + 1); return res; }; Poly pol(n + 1), e(pol); pol[0] = e[1] = 1; for (++k; k; k /= 2) { if (k % 2) pol = combine(pol, e); e = combine(e, e); } ll res = 0; REP(i,n) res = (res + pol[i + 1] * S[i]) % mod; return res; } ll modpow(ll b, ll e) { ll ans = 1; for (; e; b = b * b % mod, e /= 2) if (e & 1) ans = ans * b % mod; return ans; } ll inverse(ll x) { return modpow(x, mod-2); } ll fact[MAXN]; ll fact_i[MAXN]; void init() { fact[0] = 1; FOR(i, 1, MAXN-1) { fact[i] = (fact[i-1] * i) % mod; fact_i[i] = inverse(fact[i]); //if(i < 10) debug(fact[i]); } } int n,m; signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); //init(); cin >> n >> m; cout << solve(n, m); return 0; } |