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| #include <cstdio> #include <algorithm> #include <vector> #define pb push_back using namespace std; template <class Type> void read (Type &x) { char c; bool flag = false; while ((c = getchar()) < '0' || c > '9') c == '-' && (flag = true); x = c - '0'; while ((c = getchar()) >= '0' && c <= '9') x = (x << 1) + (x << 3) + c - '0'; flag && (x = ~x + 1); } template <class Type, class ...rest> void read (Type &x, rest &...y) { read(x), read(y...); } template <class Type> void write (Type x) { x < 0 && (putchar('-'), x = ~x + 1); x > 9 && (write(x / 10), 0); putchar('0' + x % 10); } typedef long long LL; const int N = 2e5 + 10, mod = 1e9 + 7; vector <int> g[N]; int n, sz, tot, p[N], p2[N]; int stmp, dfn[N], low[N]; void tarjan (int u) { ++tot; dfn[u] = low[u] = ++stmp; for (int v : g[u]) if (v ^ p[u]) if (!dfn[v]) { p[v] = u; tarjan(v); low[u] = min(low[u], low[v]); } else low[u] = min(low[u], dfn[v]); for (int v : g[u]) if (dfn[v] > dfn[u] && p[v] ^ u) for (int t = v; t ^ u; t = p[t]) ++sz; } int main () { read(n); p2[0] = 1; for (int i = 1; i <= n; ++i) p2[i] = p2[i - 1] * 2ll % mod; for (int i = 1, a; i <= n; ++i) read(a), g[a].pb(i), g[i].pb(a); int res = 1; for (int i = 1; i <= n; ++i) if (!dfn[i]) { sz = 1, tot = 0; tarjan(i); if (sz == 1) sz = 2; res = p2[tot - sz] * (p2[sz] - 2ll) % mod * res % mod; } write(res); return 0; }
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