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#include <bits/stdc++.h> using namespace std; const int Mod = 1000000007; const int Max = 2048; int F[Max]; int getFa(int x) { return F[x] == -1 ? x : F[x] = getFa(F[x]); } void merge(int x, int y) { x = getFa(x); y = getFa(y); if (x == y) return; F[y] = x; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); memset(F, -1, sizeof(F)); for (int i = 0; i < n; i++) { for (int j = k - 1, d = 0; j > 0; j -= 2, d++) { if (i - d < 0) break; if (i + j >= n) continue; if (i + j + d >= n) continue; merge(i, i + j); } } long long R = 1; for (int i = 0; i < n; i++) if (F[i] == -1) R = R * m % Mod; printf("%I64d\n", R); return 0; }
#include <bits/stdc++.h> using namespace std; int dy[] = {1, -1, 0, 0, -1, 1, 1, -1}; int dx[] = {0, 0, 1, -1, 1, -1, 1, -1}; void file() {} void fast() { std::ios_base::sync_with_stdio(0); cin.tie(NULL); } int mod = 1e9 + 7; long long fpow(long long x, long long p) { if (!p) return 1; long long sq = fpow(x, p / 2); sq *= sq; sq %= mod; if (p & 1) sq *= x; return sq % mod; } const int N = 2e3 + 9; int mem[N]; vector<int> adjL[N]; int n, m, k; int solve(int idx) { if (idx >= n) return 1; if (mem[idx] == 2) return 0; if (mem[idx]) return 1; mem[idx] = 1; int ch = 1; for (auto& it : adjL[idx]) ch = min(ch, solve(it)); return ch; } int main() { file(); fast(); cin >> n >> m >> k; for (int i = 0; i < n; i++) { if (i + k - 1 >= n) break; for (int j = 0; j < k / 2; j++) adjL[j + i].push_back(k - j - 1 + i), adjL[k - j - 1 + i].push_back(j + i); } long long ans = 1; for (int i = 0; i < n; i++) { ans *= max(1, solve(i) * m); ans %= mod; for (int j = 0; j < n; j++) mem[j] = (mem[j] ? 2 : 0); } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; long long int mod = 1e9 + 7; long long int po(int m, int n) { long long int ans = 1; long long int p = m; while (n) { if (n % 2) { ans *= p; if (ans >= mod) ans %= mod; } p *= p; if (p >= mod) p %= mod; n /= 2; } return ans; } void solve() { int N, M, K; ios::sync_with_stdio(false); cin >> N >> M >> K; if (K > N || K == 1) { cout << po(M, N) << endl; } else if (K == N) { cout << po(M, (N + 1) / 2) << endl; } else if (K % 2) { cout << M * M << endl; } else cout << M << endl; } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 100500; const int maxn = 100500; const int mod = 1000000007; int mmul(int x, int y) { return (long long)x * y % mod; } int madd(int x, int y) { return (x + y) % mod; } int mpow(int x, int k) { if (k == 0) return 1; return mmul(x, mpow(x, k - 1)); } int main() { int n, m, k; cin >> n >> m >> k; if (k > n) cout << mpow(m, n) << endl; else if (k == 1) cout << mpow(m, n) << endl; else if (k == n) { if (k % 2 == 0) cout << mpow(m, n / 2) << endl; else cout << mpow(m, n / 2 + 1) << endl; } else if (k % 2 == 0) cout << m << endl; else cout << mpow(m, 2) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int t, f; long long w; bool operator<(const edge& e) const { return w > e.w; } edge(int from, int to, int weight) { t = to; f = from; w = weight; } }; const double EPS = (1e-5); int dcmp(double a, double b) { return fabs(a - b) <= EPS ? 0 : a < b ? -1 : 1; } struct Double { double d; Double() { d = 0.0; }; Double(double d) : d(d) {} bool operator<(const Double& D) const { return dcmp(d, D.d) < 0; } bool operator>(const Double& D) const { return dcmp(d, D.d) > 0; } bool operator==(const Double& D) const { return dcmp(d, D.d) == 0; } }; bool intersectSegments(complex<double> a, complex<double> b, complex<double> c, complex<double> d, complex<double>& intersect) { double d1 = ((conj(a - b) * (d - c)).imag()), d2 = ((conj(a - c) * (d - c)).imag()), d3 = ((conj(a - b) * (a - c)).imag()); if (fabs(d1) < EPS) return false; double t1 = d2 / d1, t2 = d3 / d1; intersect = a + (b - a) * t1; if (t1 < -EPS || t2 < -EPS || t2 > 1 + EPS) return false; return true; } class UnionFind { public: vector<int> p, rank, setSize; int numSets; UnionFind(int N) { setSize.assign(N, 1); numSets = N; rank.assign(N, 0); p.assign(N, 0); for (int i = 0; i < N; i++) p[i] = i; } int findSet(int i) { return (p[i] == i) ? i : (p[i] = findSet(p[i])); } bool isSameSet(int i, int j) { return findSet(i) == findSet(j); } void unionSet(int i, int j) { if (!isSameSet(i, j)) { numSets--; int x = findSet(i), y = findSet(j); if (rank[x] > rank[y]) { p[y] = x; setSize[x] += setSize[y]; } else { p[x] = y; setSize[y] += setSize[x]; if (rank[x] == rank[y]) rank[y]++; } } } int numDisjointSets() { return numSets; } int sizeOfSet(int i) { return setSize[findSet(i)]; } }; long long root(long long x) { long long l = 0, r = 1e9 + 1; while (l < r - 1) { long long m = (l + r) / 2; if (m * m > x) r = m; else l = m; } return l; } struct line { double a, b, c; }; long long binpowmod(long long a, long long b, long long m) { a %= m; long long res = 1; while (b > 0) { if (b & 1) res = res * a % m; a = a * a % m; b >>= 1; } return res; } long long binpow(long long a, long long b) { long long res = 1; while (b > 0) { if (b & 1) res = res * a; a = a * a; b >>= 1; } return res; } int findXOR(int n) { switch (n % 4) { case 0: return n; case 1: return 1; case 2: return n + 1; case 3: return 0; } } int rangeXOR(int l, int r) { return (findXOR(l - 1) ^ findXOR(r)); } int getbit(int mask, int bit) { return (mask & (1 << bit)); } void setbit(int& mask, int bit, int val) { if (val) mask |= (1 << bit); else mask &= ~(1 << bit); } const int N = 1e5 + 10; const int M = 500 + 10; const long long INF = 1e13 + 100; const int MOD = 1e9 + 7; class SegmentTree { struct node { int l, r, h; node() { l = 0; r = 0; h = 0; } node(int x) { l = 0; r = 0; h = 0; if (x == 1) l = 1; else r = 1; } node(int _l, int _r, int _h) { l = _l; r = _r; h = _h; } }; private: vector<node> st; vector<int> lp; vector<int> A; int n; int left(int p) { return p << 1; } int right(int p) { return (p << 1) + 1; } node merge(node p1, node p2) { int l = p1.l + p2.l; int r = p1.r + p2.r; int x = min(p1.l, p2.r); l -= x; r -= x; return node(l, r, p1.h + p2.h + x); } node lazy(node x, int y) { return x; } void build(int p, int L, int R) { if (L == R) { st[p] = node(A[L]); } else { build(left(p), L, (L + R) / 2); build(right(p), (L + R) / 2 + 1, R); node p1 = st[left(p)], p2 = st[right(p)]; st[p] = merge(p1, p2); } } node rmq(int p, int L, int R, int i, int j) { if (i > R || j < L) return node(-1, -1, -1); if (L >= i && R <= j) return st[p]; node p1 = rmq(left(p), L, (L + R) / 2, i, j); node p2 = rmq(right(p), (L + R) / 2 + 1, R, i, j); if (p1.l == -1) return p2; if (p2.l == -1) return p1; return merge(p1, p2); } void update_point(int p, int L, int R, int idx, int v) { int i = idx, j = idx; if (i > R || j < L) return; if (L == i && R == j) { A[L] = v; st[p] = node(v); return; } node p1, p2; update_point(left(p), L, (L + R) / 2, idx, v); update_point(right(p), (L + R) / 2 + 1, R, idx, v); p1 = st[left(p)]; p2 = st[right(p)]; st[p] = merge(p1, p2); } void update_range(int p, int L, int R, int i, int j, int mode) { if (lp[p] != 0) { st[p] = lazy(st[p], lp[p]); if (L != R) { lp[left(p)] += lp[p]; lp[right(p)] += lp[p]; } lp[p] = 0; } if (i < L && j < L || i > R && j > R) return; if (L >= i && R <= j) { st[p] = lazy(st[p], mode); if (L != R) { lp[left(p)] += mode; lp[right(p)] += mode; } return; } update_range(left(p), L, (L + R) / 2, i, j, mode); update_range(right(p), (L + R) / 2 + 1, R, i, j, mode); st[p] = merge(st[left(p)], st[right(p)]); } public: SegmentTree(const vector<int>& _A) { A = _A; n = (int)A.size(); st.assign(4 * n, node()); lp.assign(4 * n, 0); build(1, 0, n - 1); } node rmq(int i, int j) { return rmq(1, 0, n - 1, i, j); } void update_point(int idx, int new_value) { update_point(1, 0, n - 1, idx, new_value); } void update_range(int i, int j, int mode) { update_range(1, 0, n - 1, i, j, mode); } }; vector<vector<long long>> pas; void pascal(int n) { pas.assign(n + 1, vector<long long>(n + 1)); for (int i = 0; i <= n; ++i) { for (int j = 0; j <= i; ++j) { if (i == j || !j) pas[i][j] = 1; else pas[i][j] = (pas[i - 1][j - 1] + pas[i - 1][j]) % MOD; } } } void solve() { int n, m, k; cin >> n >> m >> k; long long ans = 0; if (k > n || k == 1) { ans = binpowmod(m, n, MOD); } else if (k == n) { ans = binpowmod(m, (n + 1) / 2, MOD); } else { ans = m; if (k & 1) ans = (ans * ans) % MOD; } cout << ans << '\n'; } int main(void) { pascal(2000); ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; int tc = 1; while (tc--) { solve(); } }
#include <bits/stdc++.h> using namespace std; int main(int argc, char *argv[]) { long long n, m, k; cin >> n >> m >> k; long long ans; if (k == 1 || k > n) { ans = 1; for (int i = 0; i < n; i++) ans = (ans * m) % 1000000007; } else if (n == k) { ans = 1; for (int i = 0; i < (n + 1) / 2; i++) ans = (ans * m) % 1000000007; } else { ans = (k % 2) ? m * m : m; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long POW(int m, int n) { if (n == 1) return m; long long t = POW(m, n / 2); t = t * t % 1000000007; if (n % 2) t = t * m % 1000000007; return t; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k == 1 || k > n) printf("%d\n", POW(m, n)); else if (k == n) printf("%d\n", POW(m, (n + 1) / 2)); else if (k % 2) printf("%d\n", m * m); else printf("%d\n", m); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long int ans = 1, p = 1e9 + 7; int n, m, k; cin >> n >> m >> k; if (k > n || k == 1) { for (int i = 1; i <= n; i++) ans *= m, ans %= p; cout << ans; return 0; } else if (k == n) { for (int i = 1; i <= (k + 1) / 2; i++) ans *= m, ans %= p; cout << ans; return 0; } if (k < n) { cout << (k % 2 ? m * m : m); } }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 + 10; int n = 0, m = 0, k = 0; int main() { unsigned long long ans = 1; cin >> n >> m >> k; if (k == 1 || k > n) { for (int i = 1; i <= n; ++i) { ans = ans * m % 1000000007; } } else if (k == n) { for (int i = 1; i <= (n + 1) / 2; ++i) { ans = ans * m % 1000000007; } } else if (k % 2 == 0 && k != n && k != 1 && k < n) { ans = m; } else if (k % 2 == 1 && k != n && k != 1 && k < n) { ans = m * m % 1000000007; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 310; const int mod = 1e9 + 7; long long Pow(int m, int n) { long long res = 1; for (int i = 0; i < n; i++) res = (res * m) % mod; return res; } int main() { int m, n, k; cin >> m >> n >> k; if (k == 1 || k > m) cout << Pow(n, m); else if (k == m) cout << Pow(n, (k + 1) / 2); else if (!(k % 2)) cout << n; else if (k % 2) cout << (n * n) % mod; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m, k; cin >> n >> m >> k; long long ans = 0; long long ret = 1000 * 1000 * 1000 + 7; if (k > n || k == 1) { ans = 1; for (int i = 0; i < n; i++) ans = (ans * m) % ret; cout << ans << endl; return 0; } if (k == n) { ans = 1; for (int i = 0; i < (n + 1) / 2; i++) ans = (ans * m) % ret; cout << ans << endl; return 0; } if (k % 2 == 0) { cout << m << endl; return 0; } cout << m * m << endl; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n, m, k; cin >> n >> m >> k; long long int result; if (n < k or k == 1) { result = 1; for (int i = 1; i <= n; i++) result = (result * m) % mod; } else if (n > k) { if (k % 2) result = (m * m) % mod; else result = m % mod; } else { result = 1; for (int i = 0; i < n / 2; i++) result = (result * m) % mod; if (n % 2) result = (result * m) % mod; } cout << result << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007LL; long long n, m, k; int main() { cin >> n >> m >> k; if (k == 1 || k > n) { long long r = 1; for (int i = 0; i < n; i++) r = (r * m) % mod; cout << r << endl; } else if (k == n) { long long r = 1; for (int i = 0; i < (n + 1) / 2; i++) r = (r * m) % mod; cout << r << endl; } else { if (k % 2 == 0) cout << m << endl; else { long long r = m * (m) % mod; cout << r << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int mpow(long long a, int p) { long long res = 1; for (; p > 0; p >>= 1) { if (p & 1) { res = res * a % mod; } a = a * a % mod; } return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k > n || k == 1) { cout << mpow(m, n); } else if (k == n) { cout << mpow(m, (n + 1) / 2); } else if (k % 2 == 0) { cout << m; } else { cout << m * m; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m, k; cin >> n >> m >> k; long long ans = 1; if (k > n || k == 1) { for (int i = 0; i < n; i++) { ans = (ans * m) % 1000000007; } } else if (k == n) { for (int i = 0; i < ((n + 1) / 2); i++) { ans = (ans * m) % 1000000007; } } else if (k % 2 == 0) { ans = m; } else { ans = m * m; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, m, k; cin >> n >> m >> k; long long ans = 1; if (k == 1 || k > n) { for (int i = 1; i <= n; ++i) { ans *= m; ans %= 1000000007; } } else if (k == n) { for (int i = 1; i <= (n + 1) / 2; ++i) { ans *= m; ans %= 1000000007; } } else { if (k % 2) { ans = m * m; } else { ans = m; } } cout << (ans % 1000000007) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2018, M = 1000000007; int n, m, k, dsu[N]; int find(int x) { return dsu[x] == x ? x : dsu[x] = find(dsu[x]); } void Union(int x, int y) { x = find(x); y = find(y); if (x == y) return; dsu[x] = y; } int connect(int l, int r) { while (l < r) { Union(l, r); ++l; --r; } } int main() { cin >> n >> m >> k; for (int i = 1; i <= n; ++i) dsu[i] = i; for (int i = 1; i <= n - k + 1; ++i) connect(i, i + k - 1); int ans = 1; for (int i = 1; i <= n; ++i) if (dsu[i] == i) ans = (1LL * m * ans) % M; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long int n, m, k, S = 1, M = 1000000007; scanf("%lld %lld %lld", &n, &m, &k); if (k == 1 | k > n) { for (int i = 1; i <= n; i++) { S = S * m; S = S % M; } printf("%lld", S); return 0; } if (k == n) { for (int i = 1; i <= (n + 1) / 2; i++) { S = S * m; S = S % M; } printf("%lld", S); return 0; } if (k % 2 == 1) { if (n >= 2) { S = m * m; S = S % M; } if (n == 1) { S = m; } printf("%lld", S); } else { printf("%lld", m); } }
#include <bits/stdc++.h> using namespace std; int main() { int n, m, k; cin >> n >> m >> k; if (k > n || k == 1) { long long x = 1; for (int i = 1; i <= n; i++) { x *= m; x %= 1000000007; } cout << x << endl; return 0; } if (k == n) { long long x = 1; for (int i = 1; i <= (n + 1) / 2; i++) { x *= m; x %= 1000000007; } cout << x << endl; return 0; } int ans; if (k % 2 == 0) { ans = m; } else { ans = m * m; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; const int MOD = 1000000007; long long Get(int power) { if (power == 0) return 1; if (power == 1) return m; long long tmp = Get(power / 2); tmp = (tmp * tmp) % MOD; if (power % 2 == 1) tmp = (tmp * m) % MOD; return tmp; } void Main(const int cas) { if (n < k || k == 1) cout << Get(n) << endl; else if (n == k) cout << Get((n + 1) / 2) << endl; else if (n > k) { if (k % 2 == 0) cout << m << endl; else if (k % 2 == 1) cout << m * m << endl; } } int main() { int cas = 1; while (scanf("%d%d%d", &n, &m, &k) != EOF && (n || m || k)) { Main(cas++); } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, d, dsu[2069], dv = 1e9 + 7; long long fd(long long x) { if (dsu[x] != x) { dsu[x] = fd(dsu[x]); } return dsu[x]; } int main() { long long i, j, z = 1; scanf("%lld%lld%lld", &n, &m, &d); for (i = 1; i <= n; i++) { dsu[i] = i; } for (i = 0; i <= n - d; i++) { for (j = 1; j < d + 1 - j; j++) { dsu[fd(i + d + 1 - j)] = fd(i + j); } } for (i = 1; i <= n; i++) { if (fd(i) == i) { z = z * m % dv; } } printf("%lld\n", z); }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); long long n, m, k; long long binpow(long long n, long long m) { if (m == 0) return 1; if (m == 1) return n; long long ret = binpow(n, m / 2) % 1000000007; ret = ret * ret % 1000000007; if (m % 2) ret *= n; ret = ret % 1000000007; return ret; } int main(int argc, char const *argv[]) { cin.sync_with_stdio(0); cin.tie(0); cin >> n >> m >> k; if (k > n or k == 1) { cout << binpow(m, n) << endl; } else if (k == n) { long long ret = binpow(m, n / 2); if (n % 2) ret *= m; ret = ret % 1000000007; cout << ret << endl; } else if (k % 2) { cout << binpow(m, 2) << endl; } else { cout << m << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int pnt[4000]; int find(int x) { if (x != pnt[x]) pnt[x] = find(pnt[x]); return pnt[x]; }; int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 0; i < n; i++) pnt[i] = i; for (int i = 0; i + k <= n; i++) { for (int j = 0; j < k; j++) { int t = i + j; int rt = i + k - j - 1; pnt[find(t)] = find(rt); } } int ans = 1; for (int i = 0; i < n; i++) if (i == pnt[i]) { ans = (long long)ans * m % 1000000007; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long> adj[2001]; bool vis[2001]; void dfs(long long x) { vis[x] = 1; for (int i = 0, sz = adj[x].size(); i < sz; i++) { long long y = adj[x][i]; if (!vis[y]) dfs(y); } return; } int main() { long long n, m, k, component, res; while (scanf("%lld %lld %lld", &n, &m, &k) == 3) { component = 0; for (long long i = 1; i + k - 1 <= n; i++) { long long x = k; for (long long j = i; x > 1; j++, x -= 2) { adj[j].push_back(j + x - 1); adj[j + x - 1].push_back(j); } } memset(vis, 0, sizeof vis); for (long long i = 1; i <= n; i++) if (!vis[i]) dfs(i), component++; res = 1; for (long long i = 0; i < component; i++) res = (res * m) % 1000000007; printf("%lld\n", res); for (long long i = 1; i <= n; i++) adj[i].clear(); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long int mod = 1e9 + 7; const int maxN = 2e3; int n, m, k; int parent[maxN]; int root(int u) { if (parent[u] < 0) return (u); return (parent[u] = root(parent[u])); } void merge(int u, int v) { u = root(u), v = root(v); if (u == v) return; if (parent[v] < parent[u]) swap(parent[u], parent[v]); parent[u] += parent[v]; parent[v] = u; } int setSize(int u) { return (-1 * parent[root(u)]); } long long int modPow(long long int x, long long int y) { if (y == 0) return (1); long long int ret = modPow(x, y >> 1); ret = (ret * ret) % mod; if (y & 1) ret = (ret * x) % mod; return (ret); } int main() { memset(parent, -1, sizeof(parent)); scanf("%d %d %d", &n, &m, &k); if (k > n) printf("%lld\n", modPow(m, n)); else { for (int i = 0; i <= n - k; i++) for (int u = i, v = i + k - 1; u < v; u++, v--) merge(u, v); long long int ans = 1; for (int i = 0; i < n; i++) if (parent[i] < 0) ans = (ans * m) % mod; printf("%lld\n", ans); } return (0); }
#include <bits/stdc++.h> using namespace std; const int N = (int)(1e5) + 100; long long n, m, k; const long long mod = (int)(1e9) + 7; long long bp(long long a, long long b) { if (b == 0) return 1ll; if (b == 1) return a; long long x = bp(a, b / 2) % mod; long long y = bp(a, b % 2) % mod; return (((x * x) % mod) * y) % mod; } int main() { cin >> n >> m >> k; if (k == 1 || k > n) cout << bp(m, n) % mod; else if (k == n) cout << bp(m, (n + 1) / 2) % mod; else if (k % 2 == 1) cout << bp(m, 2) % mod; else if (k % 2 == 0) cout << m % mod; return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 2005; const long long MOD = 1000 * 1000 * 1000 + 7; long long mul(long long a, long long b) { return (a * b + MOD) % MOD; } long long add(long long a, long long b) { return (a + b + MOD) % MOD; } vector<long long> g[N]; long long n, m, k, p; void input() { cin >> n >> m >> k; p = k % 2; } void makeGraph() { for (long long i = 1; i <= n; i++) for (long long j = i + 1; j <= n; j++) { long long diff = abs(j - i); if (diff < k && diff % 2 != p && k <= n) { int now = j - i + 1; int go = (k - now) / 2; int rmost = go + j; int lmost = i - go; if (rmost <= n && lmost >= 1) { g[i].push_back(j); g[j].push_back(i); } } } } long long col[N]; void dfs(long long u) { col[u] = 1; for (long long i = 0; i < g[u].size(); i++) if (!col[g[u][i]]) dfs(g[u][i]); } long long ccp() { memset(col, 0, sizeof col); long long cnt = 0; for (long long i = 1; i <= n; i++) { if (!col[i]) { cnt++; dfs(i); } } return cnt; } long long POW(long long a, long long lu) { if (lu == 1) return a % MOD; if (lu == 0) return 1; long long mi = POW(a, lu / 2); mi = mul(mi, mi); if (lu & 1) mi = mul(mi, a); return mi; } int main() { input(); makeGraph(); long long ans = POW(m, ccp()); cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); using ll = long long; template <typename T> void DEBUG(string label, T value) { cerr << "[" << label << " = " << value << "]\n"; } void solve() { int n, m, k; cin >> n >> m >> k; const int MOD = 1e9 + 7; if (k == 1 || k > n) { ll ans = 1; for (int i = 0; i < n; ++i) { ans = ans * m % MOD; } cout << ans << '\n'; } else if (k == n) { if (n % 2 == 0) { ll ans = 1; for (int i = 0; i < n / 2; ++i) { ans = ans * m % MOD; } cout << ans << '\n'; } else { ll ans = m; for (int i = 0; i < (n - 1) / 2; ++i) { ans = ans * m % MOD; } cout << ans << '\n'; } } else if (k % 2 == 0) { cout << m << '\n'; } else { ll ans = (1LL * m * m) % MOD; cout << ans << '\n'; } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); }
#include <bits/stdc++.h> using namespace std; vector<int> adj[2345]; bool vis[2345]; void dfs(int u) { for (int i = 0; i < adj[u].size(); i++) { if (!vis[adj[u][i]]) { vis[adj[u][i]] = true; dfs(adj[u][i]); } } } int main() { long long n, m, k; long long M = 1000000007; cin >> n >> m >> k; for (int i = 0; i <= n - k; i++) { int l = i, r = i + k - 1; while (l <= r) { adj[l].push_back(r); adj[r].push_back(l); l++; r--; } } long long cc = 0; for (int i = 0; i < n; i++) { if (!vis[i]) { cc++; dfs(i); } } if (k > n) cc = n; long long ans = 1; for (int i = 0; i < cc; i++) { ans = (ans * m) % M; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline int power(int a, int n) { long long result = 1; while (n--) result = (result * a) % 1000000007; return result; } int main() { int n, m, k; while (cin >> n >> m >> k) { if (k == 1 || k > n) cout << power(m, n) << endl; else if (k == n) cout << power(m, (n + 1) >> 1) << endl; else if (k & 1) cout << m * m << endl; else cout << m << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007; int f[10000]; int s(int k) { if (f[k] == k) return k; else return f[k] = s(f[k]); } int n, m, k; void unions(int p1, int p2) { int f1 = s(p1), f2 = s(p2); if (f1 > f2) swap(f1, f2); f[f1] = f2; } long long ks(int k) { if (k == 0) return 1; if (k == 1) return m; long long tmp = ks(k / 2); tmp = (tmp * tmp) % mod; if (k & 1) return tmp * m % mod; else return tmp; } int main() { while (scanf("%d%d%d", &n, &m, &k) == 3) { for (int i = 1; i <= n; ++i) f[i] = i; for (int i = 1; i <= n - k + 1; ++i) for (int j = 1; j <= k / 2; ++j) unions(i + j - 1, i + k - j); int k = 0; for (int i = 1; i <= n; ++i) if (s(i) == i) ++k; cout << ks(k) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 2010, M = 1e9 + 7; int n, m, k, cmp, par[N]; int root(int u) { return (par[u] == u) ? u : par[u] = root(par[u]); } long long _pow(int a, int b) { if (!b) return 1; if (b == 1) return a; return (b % 2) ? (1LL * _pow(a, b / 2) * _pow(a, b / 2) * a) % M : (1LL * _pow(a, b / 2) * _pow(a, b / 2)) % M; } int main() { ios::sync_with_stdio(0), cin.tie(NULL), cout.tie(NULL); cin >> n >> m >> k; cmp = n; for (int i = 0; i < n; i++) par[i] = i; for (int i = 0; i < n; i++) { for (int j = 0; j <= i && (2 * j) + 1 < k; j++) { if (i + k - j - 1 < n && root(i) != root(i + k - (2 * j + 1))) { par[root(i)] = par[i + k - (2 * j + 1)]; cmp--; } } } long long ans = 1; for (int i = 0; i < cmp; i++) { ans *= m; ans %= M; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = (int)1e9 + 7; int main() { int a, b, c; scanf("%d%d%d", &a, &b, &c); long long ret = 1; if (c > a || c == 1) { for (int i = 0; i < a; i++) ret = ret * b % mod; } else if (c == a) { for (int i = 0; i < (a + 1) / 2; i++) ret = ret * b % mod; } else if (c % 2 == 1) { ret = b * b; } else ret = b; printf("%d\n", ret); }
#include <bits/stdc++.h> using namespace std; int n, m, k, num; int father[3000]; long long ans; int f(int x) { return father[x] == x ? x : father[x] = f(father[x]); } void u(int x, int y) { x = f(x); y = f(y); if (x != y) father[x] = y; } int main() { while (cin >> n >> m >> k) { num = 0, ans = 1; for (int i = 1; i <= n; ++i) father[i] = i; for (int i = 1; i + k - 1 <= n; ++i) { int x = i, y = i + k - 1; while (x < y) { u(x, y); x++, y--; } } for (int i = 1; i <= n; ++i) if (father[i] == i) num++; for (int i = 0; i < num; ++i) ans *= m, ans %= 1000000007; cout << ans << endl; } }
#include <bits/stdc++.h> using namespace std; const long long P = 1000000007; long long Pow(long long b, long long s) { long long ret = 1; for (int i = 0; i < s; ++i) { ret = (ret * b) % P; } return ret; } int main() { int n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { cout << Pow(m, n) << endl; return 0; } if (n == k) { cout << Pow(m, (n + 1) / 2) << endl; return 0; } if (k & 1) { cout << m * m << endl; return 0; } cout << m << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long t, u, v, n, c, d, m, q, l, r, ql, qr, x, k; const int N = 1e5 + 5; const long long mod = 1e9 + 7; const bool JUDGE = false; vector<int> adj[N]; bool vis[N]; void dfs(int x) { if (vis[x]) return; vis[x] = true; for (long long i = 0; i < adj[x].size(); i++) { dfs(adj[x][i]); } return; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); if (JUDGE) { freopen("cf.txt", "r", stdin); freopen("cf_out.txt", "w", stdout); } cin >> n >> m >> k; if (k & 1) { for (long long i = k / 2; i < n - k / 2; i++) { for (long long j = 1; j < k / 2 + 1; j++) { adj[i - j].push_back(i + j); adj[i + j].push_back(i - j); } } } else { for (long long i = k / 2 - 1; i < n - k / 2; i++) { for (long long j = 0; j < k / 2; j++) { int v = i - j; int u = i + j + 1; adj[u].push_back(v); adj[v].push_back(u); } } } int e = 0; memset(vis, false, sizeof(vis)); for (long long i = 0; i < n; i++) { if (!vis[i]) { e++; dfs(i); } } long long ans = 1; for (long long i = 0; i < e; i++) { ans = (ans * m) % mod; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2000 + 5, mod = 1000000007; int n, m, k; bool vis[maxn]; inline void bfs(int st) { queue<int> q; q.push(st); vis[st] = true; while (!q.empty()) { int u = q.front(); q.pop(); for (int l = max(u - k + 1, 1); l <= min(u, n - k + 1); ++l) { int v = l + (k - (u - l + 1)); if (v <= n && !vis[v]) { vis[v] = true; q.push(v); } } } } int main() { scanf("%d%d%d", &n, &m, &k); long long ans = 1; for (int i = 1; i <= n; ++i) if (!vis[i]) { bfs(i); ans = (ans * m) % mod; } printf("%d\n", (int)ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int N = 2222; vector<int> conn[N]; bitset<N> seen; void dfs(int a) { seen[a] = true; for (int &b : conn[a]) { if (!seen[b]) dfs(b); } } int main() { int n, m, k; scanf("%d %d %d", &n, &m, &k); for (int i = 1; i <= n; i++) { for (int j = 1; j <= min(n / 2, i); j++) { int del = k - j; int nj = i - j + 1 + del; if (nj <= i or nj > n or i + del > n) continue; conn[i].push_back(nj); conn[nj].push_back(i); } } int result = 1; for (int i = 1; i <= n; i++) { if (seen[i] == false) { dfs(i); result = result * 1LL * m % mod; } } cout << result << endl; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int n, m, k; int main() { cin >> n >> m >> k; if (n < k || k == 1) { long long ans = 1; for (int i = 1; i <= n; i++) { ans = (ans * m) % mod; } cout << ans << endl; } else if (n == k) { long long ans = 1; for (int i = 1; i <= (n + 1) / 2; i++) { ans = (ans * m) % mod; } cout << ans << endl; } else if (k % 2 == 1) { cout << m * m % mod << endl; } else { cout << m << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; int n, m, k; int main() { int i; while (~scanf("%d%d%d", &n, &m, &k)) { long long ans = 1; if (n < k) { for (i = 1; i <= n; i++) ans = (ans * m) % mod; printf("%I64d\n", ans); } else if (n > k) { if (k == 1) { for (i = 1; i <= n; i++) ans = (ans * m) % mod; printf("%I64d\n", ans); } else printf("%d\n", (k % 2) ? m * m : m); } else { int tmp = n / 2 + (n % 2 == 1); for (i = 1; i <= tmp; i++) ans = (ans * m) % mod; printf("%I64d\n", ans); } } getchar(); getchar(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; int exp(int x, int y) { int res = 1; while (y) { if (y % 2) res = 1LL * res * x % MOD; x = 1LL * x * x % MOD; y /= 2; } return res; } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k == 1 or k > n) { cout << exp(m, n) << endl; } else if (k == n) { cout << exp(m, (1 + n) / 2) << endl; } else { if (k % 2) cout << exp(m, 2) << endl; else cout << m << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; int main() { int n, m, k; cin >> n >> m >> k; long long ans = 1; if (k == 1 || k > n) { for (int i = 1; i <= n; ++i) { ans = ans * m; ans %= MOD; } } else if (k == n) { for (int i = 1; i <= (n + 1) / 2; ++i) { ans = ans * m; ans %= MOD; } } else if (k % 2) { ans = m * m % MOD; } else { ans = m; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e3 + 10; const int mod = 1e9 + 7; vector<int> node[maxn]; int n, m, k; long long ans = 1; bool mark[maxn]; void conect(int L, int R) { while (L < R) { node[L].push_back(R); node[R].push_back(L); L++; R--; } } void dfs(int root) { mark[root] = true; for (int i = 0; i < node[root].size(); i++) if (!mark[node[root][i]]) dfs(node[root][i]); } int main() { ios_base::sync_with_stdio(false); cin >> n >> m >> k; for (int i = 1; i <= n - k + 1; i++) conect(i, i + k - 1); int moal = 0; for (int i = 1; i <= n; i++) if (!mark[i]) { dfs(i); moal++; } while (moal > 0) { ans = (ans * m) % mod; moal--; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using std::cin; using std::cout; using std::endl; using std::map; using std::max; using std::min; using std::numeric_limits; using std::set; using std::stack; using std::string; using std::stringstream; using std::vector; vector<int> parent; vector<int> rank; void make_set(int v) { parent[v] = v; rank[v] = 0; } int find_set(int v) { if (v == parent[v]) return v; return parent[v] = find_set(parent[v]); } void union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a != b) { if (rank[a] < rank[b]) std::swap(a, b); parent[b] = a; if (rank[a] == rank[b]) ++rank[a]; } } int main() { long long n, m, k; cin >> n >> m >> k; rank.assign(n, 0); parent.assign(n, 0); for (int i = 0; i < n; ++i) make_set(i); for (int i = 0; i + k - 1 < n; ++i) for (int j = 0; j < k / 2; ++j) union_sets(i + j, i + k - j - 1); set<int> a; for (int i = 0; i < n; ++i) a.insert(find_set(i)); long long mod = 1000000007; long long ans = 1; for (int i = 0; i < a.size(); ++i) ans = (ans * m) % mod; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long power(long long a, long long b) { long long res = 1; a %= 1000000007; for (; b; b >>= 1) { if (b & 1) res = res * a % 1000000007; a = a * a % 1000000007; } return res; } string a, b, c; int q, n, t, m, k; int par[1000009]; int brr[1000009]; vector<int> adj[1000009]; int root(int v) { return par[v] < 0 ? v : (par[v] = root(par[v])); } void merge(int x, int y) { if ((x = root(x)) == (y = root(y))) return; if (par[y] < par[x]) swap(x, y); par[x] += par[y]; par[y] = x; } int main() { cin >> n >> m >> k; memset(par, -1, sizeof(par)); for (int i = 1; i <= n; i++) { if (i + k - 1 > n) break; ; for (int j = 0; j < (k / 2); j++) merge(i + j, i + k - 1 - j); } long long c = 0; set<int> s; s.clear(); for (int i = 1; i <= n; i++) s.insert(root(i)); cout << power(m, 1ll * (s.size())); }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 23; const int MOD = 1e9 + 7; const int N = 1e5 + 10; void mul(int &a, int b) { a = a * 1LL * b % MOD; } int main() { ios_base::sync_with_stdio(0); int n, m, k; cin >> n >> m >> k; if (n < k || k == 1) { int ans = 1; for (int i = (0); i < (n); ++i) mul(ans, m); cout << ans << "\n"; return 0; } if (n == k) { int ans = 1; for (int i = (0); i < ((n + 1) / 2); ++i) mul(ans, m); cout << ans << "\n"; return 0; } if (k & 1) { cout << m * m << "\n"; return 0; } cout << m << "\n"; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long cal(int a, int b) { long long ret = 1; int i; for (i = 1; i <= b; i++) { ret = (ret * a) % mod; } return ret; } int main() { int n, m, k; int i, j; while (scanf("%d%d%d", &n, &m, &k) != EOF) { long long res = 1; if (k == 1) { res = cal(m, n); } else if (k & 1) { if (n > k) { res = m * m; } else if (k == n) { res = cal(m, (n + 1) / 2); } else { res = cal(m, n); } } else { if (n > k) { res = m; } else if (k == n) { res = cal(m, n / 2); } else { res = cal(m, n); } } printf("%I64d\n", res); } return 0; }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; const int MOD = 1000000007; const int INF = 2000000000; const long long DESPACITO = 1000000000000000000; namespace minmax { template <class T> T max(T&& A) { return A; } template <class T> T min(T&& A) { return A; } template <class T> T max(T&& A, T&& B) { return A > B ? A : B; } template <class T> T chmin2(T&& A, T&& B) { return A < B ? A : B; } template <class T, class... Ts> T max(T&& A, Ts&&... ts) { T B = max(ts...); return A > B ? A : B; } template <class T, class... Ts> T min(T&& A, Ts&&... ts) { T B = min(ts...); return A < B ? A : B; } template <class T, class... Ts> T chmax(T&& A, Ts&&... ts) { A = max(A, ts...); return A; } template <class T, class... Ts> T chmin(T&& A, Ts&&... ts) { A = min(A, ts...); return A; } template <class T1, class T2> void chmin2(T1&& A, T2&& Aa, T1&& B, T2&& Bb) { if (B < A) A = B, Aa = Bb; } template <class T1, class T2> void chmax2(T1&& A, T2&& Aa, T1&& B, T2&& Bb) { if (B > A) A = B, Aa = Bb; } } // namespace minmax namespace input { template <class T> void re(T&& Xx) { cin >> Xx; } template <class T1, class T2> void re(pair<T1, T2>& Pp) { re(Pp.first); re(Pp.second); } template <class T> void re(vector<T>& Aa) { for (int i = 0; i < (int)(Aa).size(); i++) re(Aa[i]); } template <class T1, class T2> void rea(T1&& Aa, T2 t) { for (int i = 0; i < t; i++) re(Aa[i]); } template <class T1, class T2, class... Ts> void rea(T1&& Aa, T2 t, Ts&&... ts) { rea(Aa, t); rea(ts...); } template <class T1, class T2> void rea1(T1&& Aa, T2 t) { for (int i = 1; i <= t; i++) re(Aa[i]); } template <class T1, class T2, class... Ts> void rea1(T1&& Aa, T2 t, Ts&... ts) { rea1(Aa, t); rea1(ts...); } template <class T, class... Ts> void re(T&& t, Ts&... ts) { re(t); re(ts...); } } // namespace input namespace output { void pr(int32_t Xx) { cout << Xx; } void pr(bool Xx) { cout << Xx; } void pr(long long Xx) { cout << Xx; } void pr(long long unsigned Xx) { cout << Xx; } void pr(double Xx) { cout << Xx; } void pr(char Xx) { cout << Xx; } void pr(const string& Xx) { cout << Xx; } void pr(const char* Xx) { cout << Xx; } void pr(const char* Xx, size_t len) { cout << string(Xx, len); } void ps() { cout << "\n"; } void pn() {} void pw() { pr(" "); } void pc() { pr("]"); ps(); } template <class T1, class T2> void pr(const pair<T1, T2>& Xx) { pr(Xx.first); pw(); pr(Xx.second); } template <class T> void pr(const T&); bool parse(const char* t) { if (t == "\n") return true; return false; } template <class T> bool parse(T&& t) { return false; } template <class T1, class T2> bool parsepair(const pair<T1, T2>& Xx) { return true; } template <class T> bool parsepair(T&& t) { return false; } template <class T1, class T2> void psa(T1&& Aa, T2 t) { for (int i = 0; i < t; i++) pr(Aa[i]), pw(); ps(); } template <class T1, class T2> void pna(T1&& Aa, T2 t) { for (int i = 0; i < t; i++) pr(Aa[i]), ps(); } template <class T1, class T2> void psa2(T1&& Aa, T2 t1, T2 t2) { for (int i = 0; i < t1; i++) { for (int j = 0; j < t2; j++) pr(Aa[i][j]), pw(); ps(); } } template <class T> void pr(const T& Xx) { if (!(int)(Xx).size()) return; bool fst = 1; bool op = 0; if (parsepair(*Xx.begin())) op = 1; for (const auto& Aa : Xx) { if (!fst) pw(); if (op) pr("{"); pr(Aa), fst = 0; if (op) pr("}"); } } template <class T, class... Ts> void pr(const T& t, const Ts&... ts) { pr(t); pr(ts...); } template <class T, class... Ts> void ps(const T& t, const Ts&... ts) { pr(t); if (sizeof...(ts)) { if (!parse(t)) pw(); } ps(ts...); } template <class T> void pn(const T& t) { for (const auto& Aa : t) ps(Aa); } template <class T, class... Ts> void pw(const T& t, const Ts&... ts) { pr(t); if (sizeof...(ts)) pw(); pw(ts...); } template <class T, class... Ts> void pc(const T& t, const Ts&... ts) { bool op = 0; if (parsepair(t)) op = 1; if (op) pr("{"); pr(t); if (op) pr("}"); if (sizeof...(ts)) pr(", "); pc(ts...); } namespace trace { template <class T1, class T2> void __f(const char* name, const T1& Xx, const T2& y) { pr("[", y, "] = "); ps(Xx); } template <class T1, class T2, class... Ts> void __f(const char* name, const T1& Xx, const T2& y, const Ts&... rest) { const char* open = strchr(name, '['); pr("[", y, "]"); __f(open + 1, Xx, rest...); } template <class T1, class T2, class... Ts> void __f0(const char* name, const T1& Xx, const T2& y, const Ts&... rest) { const char* open = strchr(name, '['); pr(name, size_t(open - name)); __f(name, Xx, y, rest...); } template <class T> void __fn(int n, const char* name, const T& Xx) { for (int i = 0; i < n; i++) pr(name), __f(name, Xx[i], i); } } // namespace trace } // namespace output using namespace minmax; using namespace input; using namespace output; using namespace output::trace; const int N = 2e5 + 5; const int NN = 2000 + 5; namespace DSU { int nn, par[NN], size_[NN], roots[NN], rootID[NN], rootcnt; void build(int Q) { nn = Q; rootcnt = nn; for (int i = 0; i < nn; i++) { par[i] = i; size_[i] = 1; } } int getpar(int x) { int pp = x; while (par[pp] != pp) pp = par[pp]; while (par[x] != x) { int z = par[x]; par[x] = pp; x = z; } return pp; } bool merge(int x, int y) { x = getpar(x); y = getpar(y); if (x == y) return false; if (size_[x] < size_[y]) swap(x, y); par[y] = x, size_[x] += size_[y]; rootcnt--; return true; } bool same(int x, int y) { return getpar(x) == getpar(y); } void getRoots() { int cnt = 0; for (int i = 0; i < nn; i++) { if (par[i] != i) continue; rootID[i] = cnt; roots[cnt++] = i; } assert(cnt == rootcnt); } } // namespace DSU using namespace DSU; template <class T1, class T2> int expo(T1 A, T2 B) { if (B == 0) return 1; if (B & 1) return (int)(1ll * A * expo(A, B - 1) % MOD); A = expo(A, B / 2); return (int)(1ll * A * A % MOD); } int32_t main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int i, n, m, k; re(n, m, k); build(n); for (i = 0; i + k <= n; i++) for (int l = i, r = i + k - 1; l <= r; l++, r--) merge(l, r); getRoots(); ps(expo(m, rootcnt)); return 0; }
#include <bits/stdc++.h> using namespace std; long long n, total, m, qq, _inf = 1000000007; int base[2101], gg[2101], gl, len; void Bfs(int root) { int i, u, v; base[root] = ++len; for (gl = 1, gg[1] = root, i = 1; i <= gl; ++i) { u = gg[i]; for (int j = 1; j <= qq; ++j) { if (u < j) break; if (u > (j + m - 1)) continue; v = j + j + m - 1 - u; if (base[v] == 0) { base[v] = len; gg[++gl] = v; } } } } int main() { cin >> n >> total >> m; if (m == 1) { long long ans = 1; for (int i = 1; i <= n; ++i) { ans *= total; if (ans >= _inf) ans %= _inf; } cout << ans << endl; return 0; } if (m == 2) { cout << total << endl; return 0; } memset(base, 0, sizeof(base)); len = 0; qq = n - m + 1; for (int i = 1; i <= n; ++i) if (base[i] == 0) Bfs(i); long long ans = 1; for (int i = 1; i <= len; ++i) { ans *= total; if (ans >= _inf) ans %= _inf; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool isPowerOfTwo(long long int x) { return x && (!(x & (x - 1))); } long long int Modular_Exponentiation(long long int x, long long int n, long long int M = 1000000007) { if (n == 0) return 1; if (n % 2) return (x * Modular_Exponentiation((x * x) % M, n / 2, M)) % M; else return (Modular_Exponentiation((x * x) % M, n / 2, M)) % M; } void solve() { long long int n, m, k; cin >> n >> m >> k; if (k == 1 or k > n) cout << Modular_Exponentiation(m, n); else if (k == n) cout << Modular_Exponentiation(m, (n + 1) / 2); else if (k & 1) cout << m * m; else cout << m; } int32_t main() { std::ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int T = 1; while (T--) solve(); return 0; }
#include <bits/stdc++.h> struct DisSet { int fa[2005], nv; void init(int n) { nv = n; for (int i = 0; i < n; i++) fa[i] = i; } int find(int x) { if (fa[x] == x) return x; return fa[x] = find(fa[x]); } void uni(int x, int y) { fa[find(x)] = find(y); } }; int f[2005]; int M = 1000000007; int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k > n) { long long ans = 1; for (int i = 0; i < n; i++) { ans = (ans * m) % M; } printf("%I64d\n", ans); return 0; } DisSet ds; ds.init(n); for (int i = 0; i < n - k + 1; i++) { for (int j = i; j < i + k / 2; j++) { ds.uni(j, i + k - 1 - (j - i)); } } int cnt = 0; for (int i = 0; i < n; i++) { if (!f[ds.find(i)]) { cnt++; f[ds.find(i)] = 1; } } long long ans = 1; for (int i = 0; i < cnt; i++) { ans = (ans * m) % M; } printf("%I64d\n", ans); }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; long long bigMod(long long x, long long y, long long m) { if (y == 0) return 1 % m; if (y % 2 == 0) { long long temp = bigMod(x, y / 2, m); return (temp * temp) % m; } return (x % m * bigMod(x, y - 1, m)) % m; } int main() { ios::sync_with_stdio(false); long long n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { cout << bigMod(m, n, mod) << endl; return 0; } if (n == k) { cout << bigMod(m, (n + 1) / 2, mod) << endl; return 0; } if (k & 1) cout << bigMod(m, 2, mod) << endl; else cout << m << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int uf[2000]; int c; int find(int x) { if (uf[x] < 0) return x; return uf[x] = find(uf[x]); } int uni(int x, int y) { int xx = find(x), yy = find(y); if (xx != yy) { c--; if (uf[xx] > uf[yy]) { uf[yy] += uf[xx]; uf[xx] = yy; } else { uf[xx] += uf[yy]; uf[yy] = xx; } } } int main(void) { long long int mod = 1000000007; long long int answ; long long int m; int n, k; cin >> n >> m >> k; c = n; memset(uf, -1, sizeof uf); for (int i = 0; i + k - 1 < n; i++) { for (int uu = 0; uu < k / 2; uu++) uni(i + uu, i + k - 1 - uu); } answ = 1; for (int i = 0; i < c; i++) answ = (answ * m) % mod; cout << answ << endl; }
#include <bits/stdc++.h> using namespace std; const int mo = 1000000007; int fa[2010]; bool a[2010]; int n, m, k; int Get(int x) { if (fa[x] == x) return x; fa[x] = Get(fa[x]); return fa[x]; } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; ++i) fa[i] = i; for (int i = 1, j = k; j <= n; ++i, ++j) { for (int ii = i, jj = j; ii < jj; ++ii, --jj) { int fax = Get(ii); int fay = Get(jj); fa[fax] = fay; } } memset(a, false, sizeof(a)); for (int i = 1; i <= n; ++i) a[Get(i)] = true; long long res = 1; for (int i = 1; i <= n; ++i) if (a[i]) res = res * m % mo; cout << res << endl; return 0; }
#include <bits/stdc++.h> const long long mod = 1000000007; int g[2005][2005]; int col[2005], cnt; long long quick_power(long long a, long long b) { long long r = 1; for (; b; b >>= 1) { if (b & 1) r = a * r % mod; a = a * a % mod; } return r; } void dfs(int v, int f, int c, int n) { col[v] = c; for (int i = 1; i <= n; i++) { if (!g[v][i] || i == f || col[i]) continue; dfs(i, v, c, n); } } int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k > n) { printf("%I64d\n", quick_power(m, n)); return 0; } for (int i = 1; i + k - 1 <= n; i++) { for (int a = i, b = i + k - 1; a < b; a++, b--) { g[a][b] = g[b][a] = 1; } } for (int i = 1; i <= n; i++) { if (!col[i]) { cnt++; dfs(i, -1, cnt, n); } } printf("%I64d\n", quick_power(m, cnt)); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007LL; long long powmod(long long b, long long e) { if (!e) return 1; if (e & 1) return (b * powmod(b, e - 1)) % mod; long long r = powmod(b, e / 2); return (r * r) % mod; } bool vis[2001]; int n, k, m; void dfs(int at) { vis[at] = true; for (int pos = 0; pos < k / 2; pos++) { int nxt = at - 2 * pos + k - 1; if (at - pos >= 0 && at - pos + k - 1 < n && !vis[nxt]) dfs(nxt); } for (int pos = 0; pos < k / 2; pos++) { int nxt = at + 2 * pos - k + 1; if (nxt - pos >= 0 && nxt - pos + k - 1 < n && !vis[nxt]) dfs(nxt); } } int main() { scanf("%d %d %d", &n, &m, &k); int qtd = 0; memset(vis, 0, sizeof vis); for (int i = 0; i < n; i++) { if (!vis[i]) { qtd++; dfs(i); } } cout << powmod(m, qtd) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long power(long long a, long long b) { long long res = 1; while (b > 0) { if (b & 1) res = res * a; res %= 1000000007; a = (a * a) % 1000000007; b >>= 1; } return res % 1000000007; } int32_t main() { long long n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) cout << power(m, n) << endl; else if (k == n) cout << power(m, (n + 1) / 2) << endl; else if (k % 2 == 0) cout << m << endl; else cout << (m * m) % 1000000007 << endl; }
#include <bits/stdc++.h> using namespace std; const long long int mod = 1000 * 1000 * 1000 + 7; const double PI = 3.14159265358979323846264; const pair<long long int, long long int> steps[] = { {1, 0}, {0, 1}, {-1, 0}, {0, -1}, {1, -1}, {1, 1}, {-1, -1}, {-1, 1}}; template <typename... T> void read(T&... args) { ((cin >> args), ...); } template <typename... T> void write(T&&... args) { ((cout << args << " "), ...); } void fio() { ios_base::sync_with_stdio(false); cin.tie(NULL); } void setUpLocal() {} const long long int maxN = 2 * 1e3; const long long int gp_size = maxN; vector<long long int> gp[gp_size]; long long int vis[gp_size]; long long int cnt[gp_size]; void dfs(long long int i) { vis[i] = 1; for (long long int child : gp[i]) if (!vis[child]) dfs(child); } long long int modPow(long long int n, long long int k) { long long int ret = 1; while (k) { if (k & 1) ret = ret * n % mod; k >>= 1; n = n * n % mod; } return ret; } void solve() { long long int n, m, k; cin >> n >> m >> k; for (long long int i = 1; i <= n - k + 1; i++) { for (long long int f = i, b = i + k - 1; f <= b; f++, b--) { gp[f].push_back(b); gp[b].push_back(f); } } long long int cc = 0; for (long long int i = 1; i <= n; i++) { if (!vis[i]) { cc++; dfs(i); } } cout << modPow(m, cc); } int32_t main() { fio(); setUpLocal(); return solve(), 0; }
#include <bits/stdc++.h> using namespace std; using namespace std; int n, m, k; const int maxn = 2e3 + 10; int md[1002]; int ans[1002]; int arr[maxn]; int f[maxn]; void init() { for (int i = 0; i < maxn; i++) f[i] = i; }; int find(int x) { return x == f[x] ? x : f[x] = find(f[x]); } void merge(int x, int y) { f[find(x)] = find(y); } int rt[maxn]; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); long long u, v, t, n, m, r, g, k, b; cin >> n >> m >> k; init(); for (int i = 1; i + k - 1 <= n; i++) { for (int j = i; j <= (i + i + k - 1) / 2; j++) { merge(j, (2 * i + k - 1 - j)); } } int cnt = 0; for (int i = 1; i <= n; i++) rt[find(i)] = 1; for (int i = 1; i <= n; i++) cnt += rt[i]; long long ans = 1; long long mod = 1e9 + 7; for (int i = 1; i <= cnt; i++) ans = ans * m % mod; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int a[2000]; int b[2000]; int main() { int temp1, temp2; long long int ans; memset(b, 0, 2000 * sizeof(int)); scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; i++) a[i] = i; for (int i = 0; i <= n - k; i++) { for (int j = 0; j < k / 2; j++) { temp1 = (a[i + j] < a[i + k - 1 - j]) ? a[i + j] : a[i + k - 1 - j]; temp2 = (a[i + j] > a[i + k - 1 - j]) ? a[i + j] : a[i + k - 1 - j]; a[i + j] = a[i + k - 1 - j] = temp1; for (int l = 0; l < n; l++) { if (a[l] == temp2) a[l] = temp1; } } } for (int i = 0; i < n; i++) b[a[i]] = 1; ans = 1; for (int i = 0; i < n; i++) { if (b[i]) ans = (ans * m) % 1000000007; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; const int maxn = 2021; int ldr[maxn]; int mark[maxn]; int dgt(int v) { return (ldr[v] == v) ? v : ldr[v] = dgt(ldr[v]); } void uni(int u, int v) { u = dgt(u); v = dgt(v); if (u == v) return; ldr[v] = u; } inline long long int pw(long long int a, long long int b) { long long int res = 1; while (b) { if (b & 1) { res = (res * a) % mod; } a = (a * a) % mod; b /= 2; } return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m, k; cin >> n >> m >> k; for (int i = 0; i <= n; i++) { ldr[i] = i; } for (int i = 0, j = k - 1; j < n; i++, j++) { for (int ii = i, jj = j; ii < jj; ii++, jj--) { uni(ii, jj); } } int ans = 0; for (int i = 0; i < n; i++) { if (!mark[dgt(i)]) { ans++; mark[dgt(i)] = 1; } } cout << pw(m, ans); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); ; long long int n, m, k; cin >> n >> m >> k; long long int ans = 1; if (k == 1 || k > n) { for (int i = 1; i < n + 1; i++) ans = (ans * m) % 1000000007; ans = (ans + 1000000007) % 1000000007; cout << ans; return 0; } if (k == n) { for (int i = 0; i < n / 2; i++) ans = (ans * m) % 1000000007; if (n % 2 == 1) ans = (ans * m) % 1000000007; ans = (ans + 1000000007) % 1000000007; cout << ans; return 0; } if (k % 2 == 0) cout << m; else cout << m * m; return 0; }
#include <bits/stdc++.h> long long int powmod(int bs, int exp) { if (exp == 0) return 1; if (exp == 1) return bs % 1000000007; if (exp == 2) return (bs * bs) % 1000000007; if (exp % 2 == 0) { long long int hf = powmod(bs, exp / 2) % 1000000007; return (hf * hf) % 1000000007; } if (exp % 2 == 1) { long long int hf = powmod(bs, exp / 2) % 1000000007; return (((hf * hf) % 1000000007) * bs) % 1000000007; } } int main() { long long int ans; int n, m, k; scanf("%d %d %d", &n, &m, &k); if (k == 1) ans = powmod(m, n); else if (k == n) ans = powmod(m, (n + 1) / 2); else if (k % 2 == 1) ans = m * m; else ans = m; if (k > n) ans = powmod(m, n); printf("%I64d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline void FAST_IO() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); } template <class F, class S> ostream& operator<<(ostream& os, pair<F, S>& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template <class T, class S> ostream& operator<<(ostream& os, map<T, S>& v) { os << "{"; for (auto& i : v) cout << "{" << i.first << "," << i.second << "}"; os << "}"; return os; } template <class T> ostream& operator<<(ostream& os, set<T>& v) { os << "{"; for (auto& i : v) cout << i << ","; os << "}"; return os; } template <class T> ostream& operator<<(ostream& os, vector<T>& v) { os << "["; if (v.size()) os << v[0]; for (int i = 1; i < v.size(); ++i) os << "," << v[i]; os << "]"; return os; } class UF { int *a, *sz; int n; public: UF(int n) { sz = new int[n]; a = new int[n]; this->n = n; for (int i = 0; i < n; i++) a[i] = i, sz[i] = 1; } ~UF() { delete sz; delete a; } int root(int p) { while (a[p] != p) { a[p] = a[a[p]]; p = a[p]; } return p; } void merge(int p, int q) { int i = root(p); int j = root(q); if (i == j) return; if (sz[i] > sz[j]) a[j] = i, sz[i] += sz[j]; else a[i] = j, sz[j] += sz[i]; } bool find(int p, int q) { return root(p) == root(q); } }; int main() { long long n, m, k; cin >> n >> m >> k; UF uf(n); for (int i = 0; i <= n - k; ++i) { for (int j = 0; j < k / 2; ++j) { uf.merge(i + j, (i + k - 1 - j)); } } set<int> groups; for (int i = 0; i < n; ++i) groups.insert(uf.root(i)); long long resp = 1; for (int i = 0; i < groups.size(); ++i) { resp = (resp * m) % 1000000007LL; } cout << resp << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int long long mod = 1000 * 1000 * 1000 + 7; long long pow(long long x, long long k) { if (k == 1) return x % mod; if (k % 2 == 1) return (pow(x, k - 1) * x) % mod; long long t = pow(x, k / 2); return (t * t) % mod; } int main() { long long n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) cout << pow(m, n); else if (k == n) cout << pow(m, (n + 1) / 2); else if (k % 2 == 0) cout << m; else cout << m * m; return 0; }
#include <bits/stdc++.h> using namespace std; const int mm = 1000000007; int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); long long sol = 1; if (k == 1 || k > n) { for (int i = 1; i <= n; i++) sol = (sol * m) % mm; } else if (k == n) { for (int i = 1; i <= (n + 1) / 2; i++) sol = (sol * m) % mm; } else if (n == 1 || k % 2 == 0) { sol = m; } else sol = (m * m) % mm; printf("%I64d\n", sol); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9 + 7; const long long mod = 1000000007LL; long long my_pow(long long n, long long m) { if (m == 0) return 1; return (n * my_pow(n, m - 1)) % mod; } int main() { long long n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { cout << (my_pow(m, n) % mod) << endl; exit(0); } if (k % 2 != 0) { if (k == n) { cout << (my_pow(m, n / 2 + 1) % mod) << endl; } else { cout << (m * m) % mod << endl; } } else { if (k == n) { cout << (my_pow(m, n / 2) % mod) << endl; } else { cout << m % mod << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; void printArray(long long int arr[], long long int n) { for (long long int i = 0; i < n; i++) cout << arr[i] << ' '; } void printMp(map<long long int, long long int> m) { map<long long int, long long int>::iterator it; for (it = m.begin(); it != m.end(); it++) cout << it->first << ' ' << it->second << endl; } void printUmp(unordered_map<long long int, long long int> m) { unordered_map<long long int, long long int>::iterator it; for (it = m.begin(); it != m.end(); it++) cout << it->first << ' ' << it->second << endl; } void printSt(set<long long int> s) { set<long long int>::iterator it; for (it = s.begin(); it != s.end(); it++) cout << *it << ' '; } void printMst(multiset<long long int> s) { multiset<long long int>::iterator it; for (it = s.begin(); it != s.end(); it++) cout << *it << ' '; } void printVec(vector<long long int> v) { for (long long int i = 0; i < v.size(); i++) cout << v[i] << ' '; } void printVec2(vector<long long int> v[], long long int n) { for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < v[i].size(); j++) cout << v[i][j] << ' '; cout << endl; } } set<pair<long long int, long long int>> primeset; void SieveOfEratosthenes(long long int n) { bool prime[n + 1]; memset(prime, true, sizeof(prime)); for (long long int p = 2; p * p <= n; p++) { if (prime[p] == true) { for (long long int i = p * p; i <= n; i += p) prime[i] = false; } } for (long long int p = 2; p <= n; p++) if (prime[p]) primeset.insert(make_pair(p, 1)); } long long int id[1000001], size[1000001]; long long int ans; long long int root(long long int x) { while (id[x] != x) { id[x] = id[id[x]]; x = id[x]; } return x; } void Union(long long int x, long long int y) { long long int p = root(x); long long int q = root(y); if (size[p] > size[q]) { id[q] = id[p]; size[p] += size[q]; } else { id[p] = id[q]; size[q] += size[p]; } } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; long long int n; cin >> n; long long int m; cin >> m; long long int k; cin >> k; long long int mod = 1000000007; for (long long int i = 1; i < n + 1; i++) { size[i] = 1; id[i] = i; } for (long long int i = 1; i < n - k + 2; i++) { long long int start = i; long long int end = i + k - 1; while (start <= end) { Union(start, end); start++; end--; } } long long int product = 1; for (long long int i = 1; i < n + 1; i++) { if (id[i] == i) { product = ((product % mod) * (m % mod)) % mod; } } cout << product; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; long long power(long long x, long long y) { long long res = 1; x = x % mod; while (y > 0) { if (y & 1) res = (res * x) % mod; y = y >> 1; x = (x * x) % mod; } return res; } int32_t main() { long long n, m, k; cin >> n >> m >> k; long long ans; if (k == 1 || k > n) ans = power(m, n); else if (k == n) ans = power(m, (n + 1) / 2); else if (k % 2 == 0) ans = m; else ans = m * m; cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { long long cnt = 1; for (int i = 1; i <= n; i++) cnt = (cnt * m) % 1000000007; cout << cnt; return 0; } if (k == n) { long long cnt = 1; for (int i = 1; i <= (n + 1) / 2; i++) cnt = (cnt * m) % 1000000007; cout << cnt; return 0; } if (k % 2 == 0) { cout << m; return 0; } cout << m * m; return 0; }
#include <bits/stdc++.h> using namespace std; long long N, M, K, ans; long long quick(long long N, int K) { if (!K) return 1; long long t = quick(N, K / 2); t = t * t % 1000000007; if (K & 1) t = t * N % 1000000007; return t; } int main() { cin >> N >> M >> K; if (K < N) { if (K & 1) { if (K > 1) ans = M * M % 1000000007; else ans = quick(M, N); } else ans = M; } else if (K == N) { if (K & 1) ans = quick(M, N / 2) * M % 1000000007; else ans = quick(M, N / 2); } else ans = quick(M, N); cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; const long long inf = 1e18 + 5; const long long MX = 303030; int cox[4] = {1, -1, 0, 0}; int coy[4] = {0, 0, 1, -1}; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long lcm(long long a, long long b) { return a * b / gcd(a, b); } long long leastbit(long long a) { return a & (-a); } long long C(int a, int b) { long long res = 1; for (int i = 0; i < b; i++) res = res * (a - i) / (i + 1); return res; } long long powmod(long long a, long long b) { if (b == 0) return 1; long long cnt = powmod(a, b / 2); (cnt *= cnt) %= mod; if (b & 1) { (cnt *= a) %= mod; } return cnt; } int main() { ios::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); long long n, m, k; cin >> n >> m >> k; if (n == k) cout << powmod(m, (n + 1) / 2) << endl; else if (k == 1 || k > n) cout << powmod(m, n) << endl; else if ((k & 1)) cout << (m * m) % mod << endl; else cout << m << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; long long pow_mod(long long a, long long b, long long m) { long long d, t; d = 1; t = a; while (b > 0) { if (b % 2 == 1) d = (d * t) % m; b /= 2; t = (t * t) % m; } return d; } int main() { int n, m, k; while (cin >> n >> m >> k) { if (k == 1 || k > n) { long long ans = pow_mod(m, n, mod) % mod; cout << ans << endl; continue; } if (k < n) { long long ans; if (k % 2) ans = (long long)m * m % mod; else ans = m % mod; cout << ans << endl; continue; } if (k == n) { long long ans; if (k % 2) ans = pow_mod(m, n / 2 + 1, mod) % mod; else ans = pow_mod(m, n / 2, mod) % mod; cout << ans << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const long long big = 1000000007; long long ans = 1; int n, m, k, f[2001]; void debug(int a) { cout << a << " "; } int find(int x) { return f[x] == x ? x : f[x] = find(f[x]); } void merge(int a, int b) { if (a < b) swap(a, b); f[find(a)] = find(b); } int main() { ios::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m >> k; for (int i = 1; i <= n; i++) { f[i] = i; } for (int i = 0; i + k <= n; i++) for (int j = i + 1; j <= i + k; j++) { int tmp = k + 2 * i - j + 1; if (find(j) != find(tmp)) { merge(j, tmp); } } for (int i = 1; i <= n; i++) { if (f[i] == i) { ans = ans * m % big; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 10; const int M = 1e9 + 7; const int MOD = 1e9 + 7; const double PI = 3.141592653589793238460; long long int power(long long int a, long long int b) { long long int res = 1; if (a == 0) return 0; if (a == 1) return 1; for (; b > 0; b >>= 1) { if (b & 1) res = (res * a); if (res > MOD) res %= MOD; a = (a * a); if (a > MOD) a = a % MOD; } return res; } bool isPrime[10001]; vector<int> prime; void seive() { isPrime[0] = isPrime[1] = 1; for (int i = 2; i * i <= 10000; i++) { if (!isPrime[i]) for (int j = i * i; j <= 10000; j += i) { isPrime[j] = 1; } } for (int i = 2; i <= 10000; i++) if (!isPrime[i]) prime.push_back(i); } int main() { long long int n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { cout << power(m, n); } else if (k == n) { cout << power(m, (n + 1) / 2); } else if (k % 2 == 0) { cout << m; } else cout << m * m; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, m, k; cin >> n >> m >> k; if (k == n) { long long res = 1; int u; if (k % 2) u = (n + 1) / 2; else u = n / 2; for (int i = 0; i < u; i++) res = (res * m) % 1000000007; cout << res << endl; } else { if (k == 1 || k > n) { long long res = 1; for (int i = 0; i < n; i++) res = (res * m) % 1000000007; cout << res << endl; } else if (k % 2) { long long res = m * (m - 1) % 1000000007; res += (m); res %= 1000000007; cout << res << endl; } else cout << m % 1000000007 << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; long long power(int a, int b) { if (b == 0) return 1; long long tmp = power(a, b / 2); tmp = (tmp * tmp) % 1000000007; if (b % 2) return (tmp * a) % 1000000007; return tmp; } int main() { int n, m, k; cin >> n >> m >> k; if (k > n || k == 1) cout << power(m, n) << endl; else if (k == n) cout << power(m, (k + 1) / 2) << endl; else { if (k % 2) cout << m * m << endl; else cout << m << endl; } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:256000000") using namespace std; const int maxN = 2100; vector<int> g[maxN]; int n, m, k; bool used[maxN]; const long long P = 1000000007LL; void dfs(int v) { used[v] = true; for (int i = 0; i < g[v].size(); ++i) { if (!used[g[v][i]]) { dfs(g[v][i]); } } } int main() { scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; ++i) { if (i + k - 1 <= n) { for (int l = i, r = i + k - 1; l < r; ++l, --r) { g[l].push_back(r); g[r].push_back(l); } } } long long res = 1LL; for (int i = 1; i <= n; ++i) { if (!used[i]) { dfs(i); res *= (long long)(m); res %= P; } } cout << res << endl; return 0; }
#include <bits/stdc++.h> const long long mod = 1000000007; int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); if (k == 1) { long long sol = 1; for (int i = 1; i <= n; ++i) sol = (sol * m) % mod; printf("%d\n", (int)sol); } else if (k < n) { if (k % 2 == 1) printf("%d\n", m * m); else printf("%d\n", m); } else if (k == n) { long long sol = 1; for (int i = 1; 2 * i <= n + 1; ++i) sol = (sol * m) % mod; printf("%d\n", (int)sol); } else { long long sol = 1; for (int i = 1; i <= n; ++i) sol = (sol * m) % mod; printf("%d\n", (int)sol); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k; int adj[2500][2500]; bool used[2500]; long long int expo(long long int a, long long int b, long long int m) { long long int y = a, x = 1; while (b > 0) { if (b % 2 == 1) { x = (x * y) % m; } y = (y * y) % m; b = b / 2; } return x % m; } void DFS(int u) { used[u] = true; for (int i = 0; i < n; i++) { if (adj[u][i] == 0) continue; if (!used[i]) { DFS(i); } } } int main() { scanf("%d %d %d", &n, &m, &k); memset(adj, 0, sizeof(adj)); for (int i = 0; i < n - k + 1; i++) { for (int j = 0; j <= k / 2; j++) { adj[i + j][i + k - 1 - j] = 1; adj[i + k - 1 - j][i + j] = 1; } } memset(used, false, sizeof(used)); int comp = 0; for (int i = 0; i < n; i++) { if (!used[i]) { comp++; DFS(i); } } long long int res = expo(m, comp, 1000000007LL); cout << res; printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long> s[2000]; long long u[2000], cnt; void dfs(long long l) { u[l] = 1; for (long long i = 0; i < s[l].size(); i++) { if (u[s[l][i]]) continue; dfs(s[l][i]); } } const long long MOD = 1000000007; signed main() { long long n, m, k; cin >> n >> m >> k; for (long long i = 0; i <= n - k; i++) { for (long long j = 0; j < k; j++) { s[i + j].push_back(i + k - 1 - j); } } for (long long i = 0; i < n; i++) { if (u[i]) continue; dfs(i); cnt++; } long long y = 1; for (long long i = 1; i <= cnt; i++) { y = (y * m) % MOD; } cout << y; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long BM(long long b, long long p, long long mod) { long long ret = 1; while (p) { if (p & 1) ret = (ret * b) % mod; p /= 2; b = (b * b) % mod; } return ret; } int main() { int n, m, k; scanf("%d %d %d", &n, &m, &k); long long ans; if (k == 1 || k > n) ans = BM(m, n, mod); else if (k == n) ans = BM(m, (n + 1) / 2, mod); else if (k % 2 == 0) ans = m; else ans = m * m; printf("%lld\n", ans); }
#include <bits/stdc++.h> using namespace std; long long n, m, k; const long long mod = 1000 * 1000 * 1000 + 7; int main() { cin >> n >> m >> k; if (k == 1 || k > n) { long long ans = 1; for (int i = 0; i < n; ++i) ans = (ans * m) % mod; cout << ans << endl; } if (k != 1 && k == n) { long long ans = 1; for (int i = 0; i < (n + 1) / 2; ++i) ans = (ans * m) % mod; cout << ans << endl; } if (k > 1 && k < n && k % 2 == 1) cout << (m * m) % mod << endl; if (k > 1 && k < n && k % 2 == 0) cout << m % mod << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long x = 1000000007, m, n, k, s, i, j; int main() { cin >> n >> m >> k; s = 1; if (k == 1 || k > n) { for (i = 0; i < n; i++) s = (s * m) % x; } else if (k == n) { if (n % 2 == 0) { for (i = 0; i < n / 2; i++) s = (s * m) % x; } else { for (i = 0; i <= n / 2; i++) s = (s * m) % x; } } else if (k % 2 == 1) s = m * m; else s = m; if (s < 0) s += x; cout << s << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; int main() { int n, m, k; cin >> n >> m >> k; long long ans = 1; if (n < k || k == 1) for (int i = 0; i < n; i++) ans = (ans * m) % mod; else if (n == k) { if (n % 2 == 0) for (int i = 0; i < n / 2; i++) ans = (ans * m) % mod; else for (int i = 0; i < n / 2 + 1; i++) ans = (ans * m) % mod; } else if (k % 2 == 0) ans = m; else ans = m * m; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long int fast_mod(long long int base, long long int exp) { long long int res = 1; while (exp > 0) { if (exp & 1) res = (res * base) % 1000000007; base = (base * base) % 1000000007; exp = exp >> 1; } return res; } vector<long long int> parent(1000000), diff(1000000); long long int find(long long int a) { if (parent[a] == a) return a; else { long long int temp = parent[a]; parent[a] = find(parent[a]); diff[a] ^= diff[temp]; return parent[a]; } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long int m, n, k; cin >> n >> m >> k; if (k == 1 || k > n) cout << fast_mod(m, n) << "\n"; else if (k == n) cout << fast_mod(m, (n + 1) / 2) << "\n"; else if (k % 2) cout << fast_mod(m, 2) << "\n"; else cout << m << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; int main() { long long n, m, k, pos; cin >> n >> m >> k; long long ans = 1; if (k == 1 || k >= n) { if (k == 1 || k > n) { for (int i = 1; i <= n; i++) { ans = (ans * m) % mod; } } else { int p; if (k % 2) p = k / 2 + 1; else p = k / 2; for (int i = 1; i <= p; i++) { ans = (ans * m) % mod; } } } else { if (k % 2) ans = m * m; else ans = m; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long dp[31][31]; long long solve(int n, int r) { if (n == r || r == 0) return 1; if (n < r) return 0; if (dp[n][r] != -1) { return dp[n][r]; } return dp[n][r] = solve(n - 1, r - 1) + solve(n - 1, r); } int main() { int t = 1; while (t--) { long long n, m, k; cin >> n >> m >> k; if (k == 1) { long long ans = 1; for (int i = 0; i < n; i++) { ans = (ans * m) % 1000000007; } cout << ans; } else if (k == n) { int s = n / 2; if (n % 2) s++; long long ans = 1; for (int i = 0; i < s; i++) { ans = (ans * m) % 1000000007; } cout << ans; } else if (k > n) { long long ans = 1; for (int i = 0; i < n; i++) { ans = (ans * m) % 1000000007; } cout << ans; } else { if (k % 2 == 0) { cout << m; } else { cout << m * m; } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2500; int pv[maxn]; int rk[maxn]; int findSet(int x) { return x == pv[x] ? x : pv[x] = findSet(pv[x]); } void unionSets(int x, int y) { x = findSet(x), y = findSet(y); if (rk[x] < rk[y]) pv[x] = y; else if (rk[y] < rk[x]) pv[y] = x; else { pv[x] = y; ++rk[y]; } } int main() { int n, m, k; cin >> n >> m >> k; int i; for (i = 0; i < n; ++i) { pv[i] = i; rk[i] = 0; } int j; for (i = n - k; i >= 0; --i) for (j = 0; j < k; ++j) unionSets(i + j, i + k - j - 1); set<int> s; for (i = 0; i < n; ++i) s.insert(findSet(i)); long long mod = 1000000007LL; long long ans = 1; for (i = 1; i <= s.size(); ++i) ans = (ans * m) % mod; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; ifstream fin("in.in"); ofstream fout("out.out"); const int N = 2000 + 10, mod = 1000000007; int n, m, k, cnt; bool mark[N]; vector<int> adj[N]; long long res = 1; inline void input() { cin >> n >> m >> k; } void DFS(int v) { mark[v] = true; for (int i = 0; i < adj[v].size(); i++) if (!mark[adj[v][i]]) DFS(adj[v][i]); } int main() { input(); for (int i = 1; i <= n - k + 1; i++) for (int j = i; j < i + k; j++) adj[j].push_back(2 * i + k - (j + 1)); for (int i = 1; i <= n; i++) if (!mark[i]) { DFS(i); cnt++; } for (int i = 1; i <= cnt; i++) { res *= m; res %= mod; } cout << res; return 0; }
#include <bits/stdc++.h> using namespace std; void solve(); int main() { cin.sync_with_stdio(false); solve(); return 0; } const int mod = 1000000007; int dsu[2222]; int get(int a) { if (dsu[a] == a) return a; else return dsu[a] = get(dsu[a]); } void ob(int a, int b) { dsu[get(a)] = get(b); } long long binpow(long long a, long long b) { if (!b) return 1; if (b & 1) return (a * binpow(a, b - 1)) % mod; return binpow((a * a) % mod, b >> 1); } void solve() { int n, m, k; cin >> n >> m >> k; for (int i = 0; i < n; ++i) { dsu[i] = i; } for (int i = 0; i + k <= n; ++i) { for (int j = 0; j < k; ++j) { ob(i + j, i + k - 1 - j); } } set<int> s; for (int i = 0; i < n; ++i) { s.insert(get(i)); } cout << binpow(m, s.size()); }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long power(long long x, long long y, long long p) { long long res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } signed main() { long long t = 1; while (t--) { long long n, m, k; cin >> n >> m >> k; if (k == 1 || k > n) { cout << power(m, n, mod) << '\n'; } else if (k == n) { cout << power(m, (n + 1) / 2, mod) << '\n'; } else if (k % 2) { cout << power(m, 2, mod) << '\n'; } else { cout << m << '\n'; } } }
#include <bits/stdc++.h> using namespace std; const long long Mod = 1000000007; int n, m, k; int main() { scanf("%d%d%d", &n, &m, &k); long long ans = 0; if (n == k) { k = k / 2; if (n % 2) k++; ans = 1; for (int i = 1; i < (k + 1); i++) { ans = ans * m; ans = ans % Mod; } printf("%I64d\n", (ans % Mod + Mod) % Mod); return 0; } if (n < k || k == 1) { ans = 1; for (int i = 1; i < (n + 1); i++) { ans = ans * m; ans = ans % Mod; } } else if (k % 2 == 1 && k != 1) { ans = m * m; } else ans = m; printf("%I64d\n", (ans % Mod + Mod) % Mod); return 0; }
#include <bits/stdc++.h> using namespace std; long long int modularExponentiation(long long int x, long long int n) { if (n == 0) return 1; else if (n % 2 == 0) return modularExponentiation((x * x) % 1000000007, n / 2); else return (x * modularExponentiation((x * x) % 1000000007, (n - 1) / 2)) % 1000000007; } int main() { long long int n, m, k; cin >> n >> m >> k; long long int ans = 0; if (k == 1 || k > n) { ans = modularExponentiation(m, n); } else if (k == n) { ans = modularExponentiation(m, (n + 1) / 2); } else if (k % 2 == 1) { ans = modularExponentiation(m, 2); } else { ans = m % 1000000007; } printf("%lld", ans); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void checkMin(T& a, T b) { if (a > b) a = b; } template <typename T> inline void checkMax(T& a, T b) { if (a < b) a = b; } const int MAXN = 2005; const int MOD = (int)(1E9 + 7); int N, M, K, DS[MAXN]; int findDS(int u) { return DS[u] == u ? u : (DS[u] = findDS(DS[u])); } int fpm(int a, int e) { int ret = 1; for (int i = 0; (1 << i) <= e; ++i) { if ((1 << i) & e) { ret = (long long)ret * a % MOD; } a = (long long)a * a % MOD; } return ret; } int main() { scanf("%d%d%d", &N, &M, &K); for (int i = 0; i < int(MAXN); ++i) { DS[i] = i; } for (int i = 0; i + K <= N; ++i) { for (int j = 0; j < K - 1 - j; ++j) { int u = findDS(i + j), v = findDS(i + K - 1 - j); if (u != v) { DS[u] = v; } } } set<int> is; for (int i = 0; i < int(N); ++i) { is.insert(findDS(i)); } printf("%d\n", fpm(M, is.size())); return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> g[2000]; bool been[2000]; void visit(int node) { been[node] = true; for (int i = 0; i < g[node].size(); i++) { if (!been[g[node][i]]) { visit(g[node][i]); } } } int main(void) { int n, m, k; scanf("%d %d %d", &n, &m, &k); for (int i = 0; i + k - 1 < n; i++) { for (int j = 0; j < k; j++) { g[i + j].push_back(i + k - 1 - j); } } int sol = 1; for (int i = 0; i < n; i++) { if (!been[i]) { visit(i); sol = ((long long)sol * m) % 1000000007; } } printf("%d\n", sol); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 + 10; int n = 0, m = 0, k = 0; int main() { long long ans = 1; cin >> n >> m >> k; if (k == 1 || k > n) { for (int i = 1; i <= n; ++i) { ans = ans * m % 1000000007; } } else if (k == n) { for (int i = 1; i <= (n + 1) / 2; ++i) { ans = ans * m % 1000000007; } } else if (k % 2 == 0 && k != n && k != 1 && k < n) { ans = m; } else if (k % 2 == 1 && k != n && k != 1 && k < n) { ans = m * m % 1000000007; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; unsigned long long mulmod(unsigned long long a, unsigned long long b, unsigned long long modulo) { a %= modulo; b %= modulo; if (a <= 0xFFFFFFF && b <= 0xFFFFFFF) return (a * b) % modulo; if (b > a) std::swap(a, b); unsigned long long result = 0; while (a > 0 && b > 0) { if (b & 1) { result += a; if (result >= modulo) result -= modulo; } a <<= 1; if (a >= modulo) a -= modulo; b >>= 1; } return result; } unsigned long long powmod(unsigned long long base, unsigned long long exponent, unsigned long long modulo) { unsigned long long result = 1; while (exponent > 0) { if (exponent & 1) result = mulmod(result, base, modulo); base = mulmod(base, base, modulo); exponent >>= 1; } return result; } const long long mod = 1e9 + 7; int main() { long long n, m, k, ans; cin >> n >> m >> k; if (k > n || k == 1) { ans = powmod(m, n, mod); cout << ans; } else if (k == n) { if (n % 2) { n = n / 2 + 1; } else { n = n / 2; } ans = powmod(m, n, mod); cout << ans; } else if (k % 2 == 0) { cout << m << endl; } else { cout << m * m << endl; } }
#include <bits/stdc++.h> using namespace std; int n, m, k; int lgput(int nr, int exp) { long long sol = 1; for (int i = 1; i <= exp; ++i) sol = (sol * nr) % 1000000007; return sol; } int main() { scanf("%d%d%d", &n, &m, &k); if (k == 1 || k > n) { printf("%d\n", lgput(m, n)); return 0; } if (k == n) { printf("%d\n", lgput(m, k / 2 + k % 2)); return 0; } if (k % 2 == 1) { printf("%d\n", lgput(m, 2)); return 0; } printf("%d\n", m); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 2000; const int INF = 1000000001; vector<int> G[MAX]; bool vis[MAX]; int n, m, k; void dfs(int v) { vis[v] = true; for (__typeof((G[v]).begin()) u = (G[v]).begin(); u != (G[v]).end(); ++u) if (!vis[*u]) dfs(*u); } int main(int argc, char *argv[]) { scanf("%d %d %d", &n, &m, &k); for (int i = 0; i < n; ++i) { int ii = i; int j = i + k - 1; if (j < n) while (ii < j) { G[ii].push_back(j); G[j].push_back(ii); ++ii; --j; } } long long res = 1; for (int i = 0; i < n; ++i) if (!vis[i]) res = (res * m) % 1000000007, dfs(i); printf("%d\n", (int)res); return 0; }